version
stringclasses 1
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stringlengths 9
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stringlengths 3
35
| facts
stringlengths 0
630
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stringlengths 0
381
| proofs
sequencelengths 0
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sequencelengths 0
1
| negative_hypothesis
stringlengths 9
82
â | negative_hypothesis_formula
stringlengths 3
37
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
13
â | original_tree_steps
int64 1
5
| original_tree_depth
int64 1
5
| steps
int64 1
5
â | depth
int64 1
5
â | num_formula_distractors
int64 0
5
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
5
| proof_label
stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
stringclasses 3
values | negative_world_assump_label
stringclasses 2
values | prompt_serial
stringlengths 76
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stringlengths 11
283
| prompt_serial_formula
stringlengths 53
428
| proof_serial_formula
stringlengths 11
207
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ããã®ãœããœãLv.1ã¯çæž©ãããŠå ããŠæ±ãç«Šããããšããããšã¯æãç«ããªã | ¬({C}{aa} & {B}{aa}) | fact1: ãããããã®ãœããœãLv.1ã¯åãæããªããæ±ãç«Šããªãããšããããšã¯åã ããšããããšã¯æ¬åœã ãšããããã®ãœããœãLv.1ã¯æ±ãç«Šãã fact2: ããã®ãœããœãLv.1ã¯åãæããªããŠãããããã¯æ±ãç«Šããªãããšããããšã¯åã fact3: ãã®ãœããœãLv.1ã¯çã fact4: ãããããšããã¢ã³ã¹ã¿ãŒã¯çãããšããããšã¯çå®ã§ãããšãããããã¯çæž©ãã | fact1: ¬(¬{E}{aa} & ¬{B}{aa}) -> {B}{aa} fact2: ¬(¬{E}{aa} & ¬{B}{aa}) fact3: {A}{aa} fact4: (x): {A}x -> {C}x | [
"fact4 -> int1: ãããã®ãœããœãLv.1ãçããšãããšãã®ãœããœãLv.1ã¯çæž©ãã; int1 & fact3 -> int2: ãã®ãœããœãLv.1ã¯çæž©ãã; fact1 & fact2 -> int3: ãã®ãœããœãLv.1ã¯æ±ãç«Šãã; int2 & int3 -> hypothesis;"
] | [
"fact4 -> int1: {A}{aa} -> {C}{aa}; int1 & fact3 -> int2: {C}{aa}; fact1 & fact2 -> int3: {B}{aa}; int2 & int3 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããããã®ãœããœãLv.1ã¯åãæããªããæ±ãç«Šããªãããšããããšã¯åã ããšããããšã¯æ¬åœã ãšããããã®ãœããœãLv.1ã¯æ±ãç«Šãã fact2: ããã®ãœããœãLv.1ã¯åãæããªããŠãããããã¯æ±ãç«Šããªãããšããããšã¯åã fact3: ãã®ãœããœãLv.1ã¯çã fact4: ãããããšããã¢ã³ã¹ã¿ãŒã¯çãããšããããšã¯çå®ã§ãããšãããããã¯çæž©ãã ; $hypothesis$ = ããã®ãœããœãLv.1ã¯çæž©ãããŠå ããŠæ±ãç«Šããããšããããšã¯æãç«ããªã ; $proof$ = | fact4 -> int1: ãããã®ãœããœãLv.1ãçããšãããšãã®ãœããœãLv.1ã¯çæž©ãã; int1 & fact3 -> int2: ãã®ãœããœãLv.1ã¯çæž©ãã; fact1 & fact2 -> int3: ãã®ãœããœãLv.1ã¯æ±ãç«Šãã; int2 & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{E}{aa} & ¬{B}{aa}) -> {B}{aa} fact2: ¬(¬{E}{aa} & ¬{B}{aa}) fact3: {A}{aa} fact4: (x): {A}x -> {C}x ; $hypothesis$ = ¬({C}{aa} & {B}{aa}) ; $proof$ = | fact4 -> int1: {A}{aa} -> {C}{aa}; int1 & fact3 -> int2: {C}{aa}; fact1 & fact2 -> int3: {B}{aa}; int2 & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããŸãªãŸãLv.48äºä»¶ãçºçããªããŠã¿ãã¿ãLv.62äºä»¶ã¯èµ·ãããªãããšããããšã¯ééãã | ¬(¬{D} & ¬{C}) | fact1: ããã¡ããã«ãLv.25äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšãããšãæåããããšã¯èµ·ãããªãããã«ã
ããLv.76äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact2: ããŽããŽã¡ãLv.31äºä»¶ã¯çºçãããã©ãœããœãLv.21äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ãã fact3: ãœããœãLv.21äºä»¶ã¯èµ·ãããªã fact4: ããä»®ã«ãŽããŽã¡ãLv.31äºä»¶ã¯èµ·ããªããªãã°ããŸãªãŸãLv.48äºä»¶ã¯çããªããŠã¿ãã¿ãLv.62äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: ¬{IS} -> ¬(¬{AU} & ¬{HC}) fact2: ¬({A} & ¬{B}) fact3: ¬{B} fact4: ¬{A} -> ¬(¬{D} & ¬{C}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽã¡ãLv.31äºä»¶ãèµ·ãã; assump1 & fact3 -> int1: ãŽããŽã¡ãLv.31äºä»¶ãèµ·ããããœããœãLv.21äºä»¶ã¯çããªã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãŽããŽã¡ãLv.31äºä»¶ã¯èµ·ãããªã; int3 & fact4 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact3 -> int1: ({A} & ¬{B}); int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããã¡ããã«ãLv.25äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšãããšãæåããããšã¯èµ·ãããªãããã«ã
ããLv.76äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact2: ããŽããŽã¡ãLv.31äºä»¶ã¯çºçãããã©ãœããœãLv.21äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ãã fact3: ãœããœãLv.21äºä»¶ã¯èµ·ãããªã fact4: ããä»®ã«ãŽããŽã¡ãLv.31äºä»¶ã¯èµ·ããªããªãã°ããŸãªãŸãLv.48äºä»¶ã¯çããªããŠã¿ãã¿ãLv.62äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ããŸãªãŸãLv.48äºä»¶ãçºçããªããŠã¿ãã¿ãLv.62äºä»¶ã¯èµ·ãããªãããšããããšã¯ééãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽã¡ãLv.31äºä»¶ãèµ·ãã; assump1 & fact3 -> int1: ãŽããŽã¡ãLv.31äºä»¶ãèµ·ããããœããœãLv.21äºä»¶ã¯çããªã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãŽããŽã¡ãLv.31äºä»¶ã¯èµ·ãããªã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{IS} -> ¬(¬{AU} & ¬{HC}) fact2: ¬({A} & ¬{B}) fact3: ¬{B} fact4: ¬{A} -> ¬(¬{D} & ¬{C}) ; $hypothesis$ = ¬(¬{D} & ¬{C}) ; $proof$ = | void -> assump1: {A}; assump1 & fact3 -> int1: ({A} & ¬{B}); int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã·ã«ãã·ãLv.93äºä»¶ãèµ·ããªãããã©æå
ããšããããšã¯çºçããããšããããšã¯ééã£ãŠãã | ¬(¬{E} & {F}) | fact1: æªããšããããšãçºçãããšãããšã·ã«ãã·ãLv.93äºä»¶ã§ã¯ãªãæå
ããšããããšã¯çºçãã fact2: ä»®ã«èŠ³å
客ããããšããããšããã³ãœããœãLv.53äºä»¶äž¡æ¹ãçºçãããšããã°ã·ã«ã·ãLv.5äºä»¶ã¯èµ·ããªã fact3: çãé£ããšããããšã¯çããªã fact4: æ矩深ããšããããšããã³çŸå³ãããšããããšãèµ·ãã fact5: ãæªããšããããšãçãããã·ã«ã·ãLv.5äºä»¶ã¯çºçããªãããšããããšã¯ã·ã«ã·ãLv.5äºä»¶ã¯çºçããªããšããããšã«ããçãã fact6: 念ä»ãããšãèµ·ãã fact7: åãæããšããããšã§ã¯ãªããŠå ªãé£ããšããããšãèµ·ãã fact8: 芳å
客ããããšããããšãèµ·ãã | fact1: {D} -> (¬{E} & {F}) fact2: ({A} & {B}) -> ¬{C} fact3: ¬{HP} fact4: ({H} & {BE}) fact5: ¬{C} -> ({D} & ¬{C}) fact6: {IM} fact7: (¬{HE} & {BA}) fact8: {A} | [] | [] | null | null | [] | null | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: æªããšããããšãçºçãããšãããšã·ã«ãã·ãLv.93äºä»¶ã§ã¯ãªãæå
ããšããããšã¯çºçãã fact2: ä»®ã«èŠ³å
客ããããšããããšããã³ãœããœãLv.53äºä»¶äž¡æ¹ãçºçãããšããã°ã·ã«ã·ãLv.5äºä»¶ã¯èµ·ããªã fact3: çãé£ããšããããšã¯çããªã fact4: æ矩深ããšããããšããã³çŸå³ãããšããããšãèµ·ãã fact5: ãæªããšããããšãçãããã·ã«ã·ãLv.5äºä»¶ã¯çºçããªãããšããããšã¯ã·ã«ã·ãLv.5äºä»¶ã¯çºçããªããšããããšã«ããçãã fact6: 念ä»ãããšãèµ·ãã fact7: åãæããšããããšã§ã¯ãªããŠå ªãé£ããšããããšãèµ·ãã fact8: 芳å
客ããããšããããšãèµ·ãã ; $hypothesis$ = ãã·ã«ãã·ãLv.93äºä»¶ãèµ·ããªãããã©æå
ããšããããšã¯çºçããããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D} -> (¬{E} & {F}) fact2: ({A} & {B}) -> ¬{C} fact3: ¬{HP} fact4: ({H} & {BE}) fact5: ¬{C} -> ({D} & ¬{C}) fact6: {IM} fact7: (¬{HE} & {BA}) fact8: {A} ; $hypothesis$ = ¬(¬{E} & {F}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸãLv.2ã¯äººéããããªãã埡æ©ã | (¬{B}{a} & {D}{a}) | fact1: ãã®ãŸããŸãLv.2ã¯æ¥é£ããªã fact2: ä»®ã«ãã®ãŸããŸãLv.2ãçŽåŸãæãããããã¯æ¥é£ãããŸãã¯ã©ã¡ããã§ãããªããã®ãŸããŸã«Lv.26ã¯æ¥é£ããªã fact3: ããããã®ãŸããŸãLv.2ã¯äººéããããªãããšããããšã¯ç¢ºãã§ãããªãããã¯äººéããããªãäžæ¹ã§åŸ¡æ©ã fact4: ãã®ãŸããŸãLv.83ã¯æ¹¿æ°æããšããããšã¯ãªãããããããã¯æ¥é£ã fact5: ããã®ãŸããŸãLv.2ã¯æ¥é£ããªãããã©äººéãããããšããããšã¯æãç«ããªã | fact1: ¬{A}{a} fact2: ({C}{a} v {A}{a}) -> ¬{A}{ca} fact3: ¬{B}{a} -> (¬{B}{a} & {D}{a}) fact4: (¬{GT}{fe} & {A}{fe}) fact5: ¬(¬{A}{a} & {B}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸããŸãLv.2ã¯äººéããã; fact1 & assump1 -> int1: ãã®ãŸããŸãLv.2ã¯æ¥é£ããªããããã人éããã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸããŸãLv.2ã¯äººéããããªã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: {B}{a}; fact1 & assump1 -> int1: (¬{A}{a} & {B}{a}); int1 & fact5 -> int2: #F#; [assump1] & int2 -> int3: ¬{B}{a}; int3 & fact3 -> hypothesis;"
] | ããã®ãŸããŸã«Lv.26ã¯æ¥é£ããªãããšããããšã¯ç¢ºãã | ¬{A}{ca} | [] | 6 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.2ã¯æ¥é£ããªã fact2: ä»®ã«ãã®ãŸããŸãLv.2ãçŽåŸãæãããããã¯æ¥é£ãããŸãã¯ã©ã¡ããã§ãããªããã®ãŸããŸã«Lv.26ã¯æ¥é£ããªã fact3: ããããã®ãŸããŸãLv.2ã¯äººéããããªãããšããããšã¯ç¢ºãã§ãããªãããã¯äººéããããªãäžæ¹ã§åŸ¡æ©ã fact4: ãã®ãŸããŸãLv.83ã¯æ¹¿æ°æããšããããšã¯ãªãããããããã¯æ¥é£ã fact5: ããã®ãŸããŸãLv.2ã¯æ¥é£ããªãããã©äººéãããããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãŸããŸãLv.2ã¯äººéããããªãã埡æ©ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸããŸãLv.2ã¯äººéããã; fact1 & assump1 -> int1: ãã®ãŸããŸãLv.2ã¯æ¥é£ããªããããã人éããã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸããŸãLv.2ã¯äººéããããªã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} fact2: ({C}{a} v {A}{a}) -> ¬{A}{ca} fact3: ¬{B}{a} -> (¬{B}{a} & {D}{a}) fact4: (¬{GT}{fe} & {A}{fe}) fact5: ¬(¬{A}{a} & {B}{a}) ; $hypothesis$ = (¬{B}{a} & {D}{a}) ; $proof$ = | void -> assump1: {B}{a}; fact1 & assump1 -> int1: (¬{A}{a} & {B}{a}); int1 & fact5 -> int2: #F#; [assump1] & int2 -> int3: ¬{B}{a}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ãã·ã®Lv.7ã¯é·ãŒããªã | ¬{E}{d} | fact1: ããããã®ãã¡ãããLv.93ãçæ¬ããªããªãæµ
é»ããããã¯åºããšããããšã¯ãªãããããã¯ã©ã¡ããã§ãã fact2: ä»®ã«ãã®ãã¡ãããLv.93ãè¿·ãé£ãäžæ¹ã§ç³ãåããªããªãã°ãã®ãã¡ãããLv.93ã¯çæ¬ããªã fact3: ãããã®ã·ãã·ã«ãLv.82ã¯é«éã»è»œéåãããšããã°ããã®ã¿ã¡ã
ã¿ãLv.22ã¯ç· ãä»ãããšããããšã¯ãªãããã€é«éã»è»œéåãããšããããšã¯ãªãããšããããšã¯ééãã fact4: ãã®ãã¡ãããLv.93ãæµ
é»ããšããããã®ã·ãã·ã«ãLv.82ã¯é«éã»è»œéåãã fact5: ãã®ãœããœã«ãLv.26ã¯åŒãé£ããæžãŸç¡ããªã fact6: ãããã®ãã¡ãããLv.93ãåºããªããšãããšãã®ã·ãã·ã«ãLv.82ã¯é«éã»è»œéåãã fact7: ä»®ã«ããã®ã¿ã¡ã
ã¿ãLv.22ã¯ç· ãä»ããªããŠãã€é«éã»è»œéåããªãããšããããšã¯æãç«ããªããšãããšãã®ã·ã«ãã·ã®Lv.7ã¯é·ãŒã | fact1: ¬{B}{a} -> ({C}{a} v ¬{A}{a}) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact3: {D}{b} -> ¬(¬{F}{c} & ¬{D}{c}) fact4: {C}{a} -> {D}{b} fact5: ({IP}{cb} v ¬{CQ}{cb}) fact6: ¬{A}{a} -> {D}{b} fact7: ¬(¬{F}{c} & ¬{D}{c}) -> {E}{d} | [] | [] | null | null | [] | null | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãã¡ãããLv.93ãçæ¬ããªããªãæµ
é»ããããã¯åºããšããããšã¯ãªãããããã¯ã©ã¡ããã§ãã fact2: ä»®ã«ãã®ãã¡ãããLv.93ãè¿·ãé£ãäžæ¹ã§ç³ãåããªããªãã°ãã®ãã¡ãããLv.93ã¯çæ¬ããªã fact3: ãããã®ã·ãã·ã«ãLv.82ã¯é«éã»è»œéåãããšããã°ããã®ã¿ã¡ã
ã¿ãLv.22ã¯ç· ãä»ãããšããããšã¯ãªãããã€é«éã»è»œéåãããšããããšã¯ãªãããšããããšã¯ééãã fact4: ãã®ãã¡ãããLv.93ãæµ
é»ããšããããã®ã·ãã·ã«ãLv.82ã¯é«éã»è»œéåãã fact5: ãã®ãœããœã«ãLv.26ã¯åŒãé£ããæžãŸç¡ããªã fact6: ãããã®ãã¡ãããLv.93ãåºããªããšãããšãã®ã·ãã·ã«ãLv.82ã¯é«éã»è»œéåãã fact7: ä»®ã«ããã®ã¿ã¡ã
ã¿ãLv.22ã¯ç· ãä»ããªããŠãã€é«éã»è»œéåããªãããšããããšã¯æãç«ããªããšãããšãã®ã·ã«ãã·ã®Lv.7ã¯é·ãŒã ; $hypothesis$ = ãã®ã·ã«ãã·ã®Lv.7ã¯é·ãŒããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} -> ({C}{a} v ¬{A}{a}) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact3: {D}{b} -> ¬(¬{F}{c} & ¬{D}{c}) fact4: {C}{a} -> {D}{b} fact5: ({IP}{cb} v ¬{CQ}{cb}) fact6: ¬{A}{a} -> {D}{b} fact7: ¬(¬{F}{c} & ¬{D}{c}) -> {E}{d} ; $hypothesis$ = ¬{E}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœã®ãœã«ãLv.97ã¯é Œãç¡ãããŸãã¯ããã¯æœãããšããããšã¯ééã£ãŠãã | ¬({B}{a} v {A}{a}) | fact1: ããããã®ã·ã¡ãã·ãLv.24ãçãŒããšããã°ãã®ã·ã¡ãã·ãLv.24ã¯åãæããããããã¯ãã£ãããªã fact2: ãããããã®ãŸã¡ããŸã¡ãLv.51ã¯æœãããããé Œãç¡ããªãããšããããšã¯èª€ã£ãŠãããªãããã®ãŸã¡ããŸã¡ãLv.51ã¯é Œãç¡ãããšããããšã¯ç¢ºãã§ãã fact3: ãã®ãœã®ãœã«ãLv.97ã¯æœã fact4: ãã®ãŸãªãŸãLv.84ã¯å¯ã
ãããæœããã©ã¡ããã fact5: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŒãåºãæããšããããšã¯ãªããšããããé Œãç¡ãããŸãã¯æœãããšããããšã¯æãç«ããªã | fact1: {F}{b} -> ({E}{b} v ¬{D}{b}) fact2: ¬({A}{gc} & ¬{B}{gc}) -> {B}{gc} fact3: {A}{a} fact4: ({BS}{ci} v {A}{ci}) fact5: (x): ¬{C}x -> ¬({B}x v {A}x) | [
"fact3 -> int1: ãã®ãœã®ãœã«ãLv.97ã¯æœã; int1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 -> hypothesis;"
] | ããã®ãœã®ãœã«ãLv.97ã¯é Œãç¡ãããŸãã¯ããã¯æœãããšããããšã¯ééã£ãŠãã | ¬({B}{a} v {A}{a}) | [
"fact7 -> int2: ããããã®ãœã®ãœã«ãLv.97ã¯åŒãåºãæããªããªãã°ãé Œãç¡ããæœãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ã¡ãã·ãLv.24ãçãŒããšããã°ãã®ã·ã¡ãã·ãLv.24ã¯åãæããããããã¯ãã£ãããªã fact2: ãããããã®ãŸã¡ããŸã¡ãLv.51ã¯æœãããããé Œãç¡ããªãããšããããšã¯èª€ã£ãŠãããªãããã®ãŸã¡ããŸã¡ãLv.51ã¯é Œãç¡ãããšããããšã¯ç¢ºãã§ãã fact3: ãã®ãœã®ãœã«ãLv.97ã¯æœã fact4: ãã®ãŸãªãŸãLv.84ã¯å¯ã
ãããæœããã©ã¡ããã fact5: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŒãåºãæããšããããšã¯ãªããšããããé Œãç¡ãããŸãã¯æœãããšããããšã¯æãç«ããªã ; $hypothesis$ = ããã®ãœã®ãœã«ãLv.97ã¯é Œãç¡ãããŸãã¯ããã¯æœãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact3 -> int1: ãã®ãœã®ãœã«ãLv.97ã¯æœã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F}{b} -> ({E}{b} v ¬{D}{b}) fact2: ¬({A}{gc} & ¬{B}{gc}) -> {B}{gc} fact3: {A}{a} fact4: ({BS}{ci} v {A}{ci}) fact5: (x): ¬{C}x -> ¬({B}x v {A}x) ; $hypothesis$ = ¬({B}{a} v {A}{a}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ã
ããLv.37ã¯è
ãæã | {B}{b} | fact1: ãããã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ããªããšãããšããã¯åãäžããªã fact2: ããã®ã·ãã·ãLv.47ã¯åœæåãããšããããšã¯ãªãããã©åãäžããããšããããšã¯ééã£ãŠãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ããªããšãããããã¯åœæåããªãããŸãåãäžããªã fact4: ããã®ã·ãã·ãLv.47ã¯åœæåããªããŠãã®äžåãäžããªãããšããããšã¯èª€ãã fact5: ããããã®ã·ãã·ãLv.47ã圢容ãé£ããšãããšãã®ãã«ã
ããLv.37ã¯è
ãæã fact6: ãã®ã¿ã«ã
ã¿ãLv.13ã¯åœæåãã fact7: ãã®ã·ãã·ãLv.47ã¯åãäžããªã | fact1: ¬{A}{a} -> ¬{AB}{a} fact2: ¬(¬{AA}{a} & {AB}{a}) fact3: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: {A}{a} -> {B}{b} fact6: {AA}{eq} fact7: ¬{AB}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ããªã; fact3 & assump1 -> int1: ãã®ã·ãã·ãLv.47ã¯åœæåããªããæŽã«åãäžããªã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact3 & assump1 -> int1: (¬{AA}{a} & ¬{AB}{a}); int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: {A}{a}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ããªããšãããšããã¯åãäžããªã fact2: ããã®ã·ãã·ãLv.47ã¯åœæåãããšããããšã¯ãªãããã©åãäžããããšããããšã¯ééã£ãŠãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ããªããšãããããã¯åœæåããªãããŸãåãäžããªã fact4: ããã®ã·ãã·ãLv.47ã¯åœæåããªããŠãã®äžåãäžããªãããšããããšã¯èª€ãã fact5: ããããã®ã·ãã·ãLv.47ã圢容ãé£ããšãããšãã®ãã«ã
ããLv.37ã¯è
ãæã fact6: ãã®ã¿ã«ã
ã¿ãLv.13ã¯åœæåãã fact7: ãã®ã·ãã·ãLv.47ã¯åãäžããªã ; $hypothesis$ = ãã®ãã«ã
ããLv.37ã¯è
ãæã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ããªã; fact3 & assump1 -> int1: ãã®ã·ãã·ãLv.47ã¯åœæåããªããæŽã«åãäžããªã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ãã·ãLv.47ã¯åœ¢å®¹ãé£ã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬{AB}{a} fact2: ¬(¬{AA}{a} & {AB}{a}) fact3: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: {A}{a} -> {B}{b} fact6: {AA}{eq} fact7: ¬{AB}{a} ; $hypothesis$ = {B}{b} ; $proof$ = | void -> assump1: ¬{A}{a}; fact3 & assump1 -> int1: (¬{AA}{a} & ¬{AB}{a}); int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: {A}{a}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ããŸã®Lv.13ã¯ããã€ãããããŠé倪ã | ({A}{b} & {C}{b}) | fact1: ããã®ã¿ã«ãã¿ã¡ãLv.7ã¯åé²åºæ¥ãããã©æŽèœèããªãããšããããšã¯ééãã fact2: ãã®ãœã«ãœãLv.35ã¯åé²åºæ¥ãªã fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èµ·ããå§ããªããšããããããã¯ããã€ããããããã®äžé倪ãããšããããšã¯ç¢ºãã fact4: ãããã®ã¿ã«ãã¿ã¡ãLv.7ãããã€ãããããšãããšæŽèœèããªã fact5: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯ããã€ãããããªããªããããã®ãŸã«ããŸã®Lv.13ã¯ããã€ããããããããé倪ãããšããããšã¯æãç«ã€ããšããããšã¯èª€ãã§ãã fact6: ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯æŽèœèããªã fact7: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.7ãããã€ãããããªãã°ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯åé²åºæ¥ããã©ããã¯æŽèœèããªã | fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: ¬{AA}{ac} fact3: (x): ¬{B}x -> ({A}x & {C}x) fact4: {A}{a} -> ¬{AB}{a} fact5: ¬{A}{a} -> ¬({A}{b} & {C}{b}) fact6: ¬{AB}{a} fact7: {A}{a} -> ({AA}{a} & ¬{AB}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.7ã¯ããã€ãããã; fact7 & assump1 -> int1: ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯åé²åºæ¥ãäžæ¹ã§æŽèœèããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯ããã€ãããããªã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact7 & assump1 -> int1: ({AA}{a} & ¬{AB}{a}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact5 -> hypothesis;"
] | ãã®ãŸã«ããŸã®Lv.13ã¯ããã€ãããããŠé倪ã | ({A}{b} & {C}{b}) | [
"fact8 -> int4: ãããã®ãŸã«ããŸã®Lv.13ãèµ·ããå§ããªããªãããã€ãããããŠæŽã«ããã¯é倪ã;"
] | 4 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ã¿ã«ãã¿ã¡ãLv.7ã¯åé²åºæ¥ãããã©æŽèœèããªãããšããããšã¯ééãã fact2: ãã®ãœã«ãœãLv.35ã¯åé²åºæ¥ãªã fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èµ·ããå§ããªããšããããããã¯ããã€ããããããã®äžé倪ãããšããããšã¯ç¢ºãã fact4: ãããã®ã¿ã«ãã¿ã¡ãLv.7ãããã€ãããããšãããšæŽèœèããªã fact5: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯ããã€ãããããªããªããããã®ãŸã«ããŸã®Lv.13ã¯ããã€ããããããããé倪ãããšããããšã¯æãç«ã€ããšããããšã¯èª€ãã§ãã fact6: ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯æŽèœèããªã fact7: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.7ãããã€ãããããªãã°ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯åé²åºæ¥ããã©ããã¯æŽèœèããªã ; $hypothesis$ = ãã®ãŸã«ããŸã®Lv.13ã¯ããã€ãããããŠé倪ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã¡ãLv.7ã¯ããã€ãããã; fact7 & assump1 -> int1: ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯åé²åºæ¥ãäžæ¹ã§æŽèœèããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã¿ã«ãã¿ã¡ãLv.7ã¯ããã€ãããããªã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: ¬{AA}{ac} fact3: (x): ¬{B}x -> ({A}x & {C}x) fact4: {A}{a} -> ¬{AB}{a} fact5: ¬{A}{a} -> ¬({A}{b} & {C}{b}) fact6: ¬{AB}{a} fact7: {A}{a} -> ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ({A}{b} & {C}{b}) ; $proof$ = | void -> assump1: {A}{a}; fact7 & assump1 -> int1: ({AA}{a} & ¬{AB}{a}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŸã«ãŸãLv.78ã¯å±±æ·±ã | {B}{a} | fact1: æãã¿ç¡ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯å±±æ·±ã fact2: ãã®ãœããœãLv.78ã¯å±±æ·±ããªã fact3: ãã®ãŸã«ãŸãLv.78ã¯æãã¿ç¡ã fact4: ãã®ãœããœãLv.78ã¯ãšãããªã fact5: ããä»®ã«ç©çããã¢ã³ã¹ã¿ãŒãæšç®çŽ°ãããªããªãæãã¿ç¡ããšããããšã¯ãªã fact6: ãã®ãŸã«ãŸãLv.78ãæãã¿ç¡ããŠããã«å±±æ·±ããªããã®ãœããœãLv.78ã¯ç©çãããªã fact7: ããããšããã¢ã³ã¹ã¿ãŒãèãããªããšããã°ããã¯ç©çãããŠããŸãã«ããã¯æšç®çŽ°ãããšããããšã¯ãªã | fact1: (x): ¬{A}x -> {B}x fact2: ¬{B}{b} fact3: {A}{a} fact4: ¬{JC}{b} fact5: (x): ({C}x & ¬{D}x) -> ¬{A}x fact6: ({A}{a} & {B}{a}) -> ¬{C}{b} fact7: (x): ¬{E}x -> ({C}x & ¬{D}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ãŸãLv.78ã¯å±±æ·±ã; fact3 & assump1 -> int1: ãã®ãŸã«ãŸãLv.78ã¯æãã¿ç¡ããããã«å±±æ·±ã; int1 & fact6 -> int2: ãã®ãœããœãLv.78ã¯ç©çãããªã;"
] | [
"void -> assump1: {B}{a}; fact3 & assump1 -> int1: ({A}{a} & {B}{a}); int1 & fact6 -> int2: ¬{C}{b};"
] | 以äžã®ããã«ä»®å®ããããã®ãŸã«ãŸãLv.78ã¯å±±æ·±ã | {B}{a} | [
"fact8 -> int3: ããä»®ã«ãã®ãŸã«ãŸãLv.78ãæãã¿ç¡ããšããããšã¯ãªããšãããšãã®ãŸã«ãŸãLv.78ã¯å±±æ·±ã; fact10 -> int4: ãã®ãŸã«ãŸãLv.78ãç©çããäžæ¹ã§æšç®çŽ°ãããªããªããã®ãŸã«ãŸãLv.78ã¯æãã¿ç¡ããªã; fact9 -> int5: ãããã®ãŸã«ãŸãLv.78ãèãããªããªãã°ãã®ãŸã«ãŸãLv.78ã¯ç©çããããããæšç®çŽ°ãããªã;"
] | 5 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æãã¿ç¡ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯å±±æ·±ã fact2: ãã®ãœããœãLv.78ã¯å±±æ·±ããªã fact3: ãã®ãŸã«ãŸãLv.78ã¯æãã¿ç¡ã fact4: ãã®ãœããœãLv.78ã¯ãšãããªã fact5: ããä»®ã«ç©çããã¢ã³ã¹ã¿ãŒãæšç®çŽ°ãããªããªãæãã¿ç¡ããšããããšã¯ãªã fact6: ãã®ãŸã«ãŸãLv.78ãæãã¿ç¡ããŠããã«å±±æ·±ããªããã®ãœããœãLv.78ã¯ç©çãããªã fact7: ããããšããã¢ã³ã¹ã¿ãŒãèãããªããšããã°ããã¯ç©çãããŠããŸãã«ããã¯æšç®çŽ°ãããšããããšã¯ãªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŸã«ãŸãLv.78ã¯å±±æ·±ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> {B}x fact2: ¬{B}{b} fact3: {A}{a} fact4: ¬{JC}{b} fact5: (x): ({C}x & ¬{D}x) -> ¬{A}x fact6: ({A}{a} & {B}{a}) -> ¬{C}{b} fact7: (x): ¬{E}x -> ({C}x & ¬{D}x) ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããã®ã¿ã«ãã¿ã®Lv.36ãéå°åå¿ããªããªãã°ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ããããšããããšã¯ãªããŠãŸãéå°åå¿ããªãããšããããšã¯åœã | ¬(¬{B}{b} -> (¬{AA}{b} & ¬{B}{b})) | fact1: ãã®ãŸã«ã
ãŸã®Lv.11ãéèããªããªãã°ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ãããªããŠãŸãæãŸãããªã fact2: ãã®ãŸã«ã
ãŸã®Lv.11ã¯éèããªã fact3: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãéå°åå¿ãããšããã°ä»£ããæ ãããªããéèããšããããšã¯ãªã | fact1: ¬{A}{a} -> (¬{AA}{b} & ¬{AB}{b}) fact2: ¬{A}{a} fact3: (x): {B}x -> (¬{AA}x & ¬{A}x) | [
"fact1 & fact2 -> int1: ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ãããªãããã®äžæãŸãããšããããšã¯ãªã; int1 -> int2: ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ããããšããããšã¯ãªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã®Lv.36ã¯éå°åå¿ããªã; int2 & assump1 -> int3: ããã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ãããªããæŽã«éå°åå¿ãããšããããšã¯ãªãããšããããšã¯çå®ã ; [assump1] & int3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: (¬{AA}{b} & ¬{AB}{b}); int1 -> int2: ¬{AA}{b}; void -> assump1: ¬{B}{b}; int2 & assump1 -> int3: (¬{AA}{b} & ¬{B}{b}); [assump1] & int3 -> hypothesis;"
] | ãã®ãŸã«ã
ãŸã®Lv.11ã¯ä»£ããæ ãããªã | ¬{AA}{a} | [
"fact4 -> int4: ä»®ã«ãã®ãŸã«ã
ãŸã®Lv.11ãéå°åå¿ãããšããããã®ãŸã«ã
ãŸã®Lv.11ã¯ä»£ããæ ãããªããŠãããéèããªã;"
] | 5 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã«ã
ãŸã®Lv.11ãéèããªããªãã°ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ãããªããŠãŸãæãŸãããªã fact2: ãã®ãŸã«ã
ãŸã®Lv.11ã¯éèããªã fact3: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãéå°åå¿ãããšããã°ä»£ããæ ãããªããéèããšããããšã¯ãªã ; $hypothesis$ = ãããããã®ã¿ã«ãã¿ã®Lv.36ãéå°åå¿ããªããªãã°ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ããããšããããšã¯ãªããŠãŸãéå°åå¿ããªãããšããããšã¯åœã ; $proof$ = | fact1 & fact2 -> int1: ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ãããªãããã®äžæãŸãããšããããšã¯ãªã; int1 -> int2: ãã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ããããšããããšã¯ãªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ãã¿ã®Lv.36ã¯éå°åå¿ããªã; int2 & assump1 -> int3: ããã®ã¿ã«ãã¿ã®Lv.36ã¯ä»£ããæ ãããªããæŽã«éå°åå¿ãããšããããšã¯ãªãããšããããšã¯çå®ã ; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> (¬{AA}{b} & ¬{AB}{b}) fact2: ¬{A}{a} fact3: (x): {B}x -> (¬{AA}x & ¬{A}x) ; $hypothesis$ = ¬(¬{B}{b} -> (¬{AA}{b} & ¬{B}{b})) ; $proof$ = | fact1 & fact2 -> int1: (¬{AA}{b} & ¬{AB}{b}); int1 -> int2: ¬{AA}{b}; void -> assump1: ¬{B}{b}; int2 & assump1 -> int3: (¬{AA}{b} & ¬{B}{b}); [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.82ã¯ééåºæ¥ããå±
èŸããªããäž¡æ¹ã | ({AA}{a} v ¬{AB}{a}) | fact1: ãã®ã·ã¡ã
ã·ãLv.82ã¯ééåºæ¥ãããããã¯ããã¯å±
èŸãããããã¯ã©ã¡ããã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ééåºæ¥ãããŸãã¯ããã¯å±
èŸãããããã¯äž¡æ¹ã§ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ééåºæ¥ãããããã¯ããã¯å±
èŸããªãããããã¯ã©ã¡ããã§ãã | fact1: ({AA}{a} v {AB}{a}) fact2: (x): ({AA}x v {AB}x) fact3: (x): ({AA}x v ¬{AB}x) | [
"fact3 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ééåºæ¥ãããããã¯ããã¯å±
èŸããªãããããã¯ã©ã¡ããã§ãã; int1 -> hypothesis;"
] | [
"fact3 -> int1: (x): ({AA}x v ¬{AB}x); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ã¡ã
ã·ãLv.82ã¯ééåºæ¥ãããããã¯ããã¯å±
èŸãããããã¯ã©ã¡ããã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ééåºæ¥ãããŸãã¯ããã¯å±
èŸãããããã¯äž¡æ¹ã§ãã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ééåºæ¥ãããããã¯ããã¯å±
èŸããªãããããã¯ã©ã¡ããã§ãã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.82ã¯ééåºæ¥ããå±
èŸããªããäž¡æ¹ã ; $proof$ = | fact3 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ééåºæ¥ãããããã¯ããã¯å±
èŸããªãããããã¯ã©ã¡ããã§ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({AA}{a} v {AB}{a}) fact2: (x): ({AA}x v {AB}x) fact3: (x): ({AA}x v ¬{AB}x) ; $hypothesis$ = ({AA}{a} v ¬{AB}{a}) ; $proof$ = | fact3 -> int1: (x): ({AA}x v ¬{AB}x); int1 -> hypothesis; __PROVED__ |
0.3 | ãããããæ··ãåããããªããªããçã
ãããªããŠãŸãæ ¹æ·±ãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x)) | fact1: ä»®ã«ããã®ãŸããŸãLv.5ã¯æ··ãåããããªãããšããããšã¯çå®ãªããããã¯çã
ãããªãããããæ ¹æ·±ãããšããããšã¯ç¢ºãã§ãªã fact2: ãããã®ãŽã«ãŽãLv.48ã¯æµ
ãŸããªãã°ãåãé£ããªããæ ¹æ·±ãããšããããšã¯æãç«ããªã fact3: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯çã
ãããªããªãã°ãããã¯æ¶ããŸãããªãããã©æ¥ããããããšããããšã¯åã | fact1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) fact2: {AH}{o} -> ¬(¬{IH}{o} & {AB}{o}) fact3: (x): ¬{AA}x -> ¬(¬{JD}x & {DR}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ããããã®ã¿ã¡ãã¿ãLv.31ã¯çã
ãããªããªããæ¶ããŸãããšããããšã¯ãªããã©æ¥ããããããšããããšã¯çå®ã§ãªã | ¬{AA}{bj} -> ¬(¬{JD}{bj} & {DR}{bj}) | [
"fact4 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ä»®ã«ããã®ãŸããŸãLv.5ã¯æ··ãåããããªãããšããããšã¯çå®ãªããããã¯çã
ãããªãããããæ ¹æ·±ãããšããããšã¯ç¢ºãã§ãªã fact2: ãããã®ãŽã«ãŽãLv.48ã¯æµ
ãŸããªãã°ãåãé£ããªããæ ¹æ·±ãããšããããšã¯æãç«ããªã fact3: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯çã
ãããªããªãã°ãããã¯æ¶ããŸãããªãããã©æ¥ããããããšããããšã¯åã ; $hypothesis$ = ãããããæ··ãåããããªããªããçã
ãããªããŠãŸãæ ¹æ·±ãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) fact2: {AH}{o} -> ¬(¬{IH}{o} & {AB}{o}) fact3: (x): ¬{AA}x -> ¬(¬{JD}x & {DR}x) ; $hypothesis$ = ¬((Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x)) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ã«ãã·ãLv.58ã¯äœã¿æããã©ããã¯ç®ãŸãããããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({D}{c} & ¬{B}{c}) | fact1: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯è»äººããããªããªãããäºããããããéãããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ããããšããããšã¯æãç«ããªã fact2: ãã®ã·ã¡ãã·ãLv.62ã¯è»äººããããªã fact3: ãããã®ãŸããŸãLv.81ãç®ãŸãããããšããããã®ã·ã«ãã·ãLv.58ã¯äœã¿æããã©ç®ãŸãããããªã fact4: ããä»®ã«ãã®ã·ã¡ãã·ãLv.62ã¯è»äººããããšããã°ããã®ã·ã«ãã·ãLv.58ã¯äœã¿æãäžæ¹ã§ç®ãŸãããããªãããšããããšã¯èª€ã£ãŠãã fact5: ä»®ã«ãã®ã·ã¡ãã·ãLv.62ãäœã¿æããšããã°ãã®ã·ã«ãã·ãLv.58ã¯éãã fact6: ããããã®ã·ã«ãã·ãLv.58ã¯äºããªãããšããããšã¯èª€ã£ãŠãããšããããšã¯ãªããšãããšããã®ã·ã«ãã·ãLv.58ã¯éããããã©ç®ãŸãããããªãããšããããšã¯æ£ãããªã fact7: ãããã®ãœããœã«ã
Lv.58ã¯ç解ãé£ãããã©åããé£ããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ | fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: ¬{A}{a} fact3: {B}{b} -> ({D}{c} & ¬{B}{c}) fact4: {A}{a} -> ¬({D}{c} & ¬{B}{c}) fact5: {D}{a} -> {AB}{c} fact6: ¬{AA}{c} -> ¬({AB}{c} & ¬{B}{c}) fact7: ¬({FE}{ii} & ¬{FI}{ii}) | [
"fact1 -> int1: ä»®ã«ãã®ã·ã¡ãã·ãLv.62ã¯è»äººããããšããããšã¯ãªããªãã°ããããã¯äºãããéãããšããããšã¯ãªãããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ããªã; int1 & fact2 -> int2: ããã®ã·ã¡ãã·ãLv.62ã¯äºããããã©ããã¯éãããªãããšããããšã¯ééãã ;"
] | [
"fact1 -> int1: ¬{A}{a} -> ¬({AA}{a} & ¬{AB}{a}); int1 & fact2 -> int2: ¬({AA}{a} & ¬{AB}{a});"
] | ããã®ã·ã«ãã·ãLv.58ã¯äœã¿æããã©ããã¯ç®ãŸãããããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({D}{c} & ¬{B}{c}) | [] | 6 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯è»äººããããªããªãããäºããããããéãããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ããããšããããšã¯æãç«ããªã fact2: ãã®ã·ã¡ãã·ãLv.62ã¯è»äººããããªã fact3: ãããã®ãŸããŸãLv.81ãç®ãŸãããããšããããã®ã·ã«ãã·ãLv.58ã¯äœã¿æããã©ç®ãŸãããããªã fact4: ããä»®ã«ãã®ã·ã¡ãã·ãLv.62ã¯è»äººããããšããã°ããã®ã·ã«ãã·ãLv.58ã¯äœã¿æãäžæ¹ã§ç®ãŸãããããªãããšããããšã¯èª€ã£ãŠãã fact5: ä»®ã«ãã®ã·ã¡ãã·ãLv.62ãäœã¿æããšããã°ãã®ã·ã«ãã·ãLv.58ã¯éãã fact6: ããããã®ã·ã«ãã·ãLv.58ã¯äºããªãããšããããšã¯èª€ã£ãŠãããšããããšã¯ãªããšãããšããã®ã·ã«ãã·ãLv.58ã¯éããããã©ç®ãŸãããããªãããšããããšã¯æ£ãããªã fact7: ãããã®ãœããœã«ã
Lv.58ã¯ç解ãé£ãããã©åããé£ããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ ; $hypothesis$ = ããã®ã·ã«ãã·ãLv.58ã¯äœã¿æããã©ããã¯ç®ãŸãããããšããããšã¯ãªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: ¬{A}{a} fact3: {B}{b} -> ({D}{c} & ¬{B}{c}) fact4: {A}{a} -> ¬({D}{c} & ¬{B}{c}) fact5: {D}{a} -> {AB}{c} fact6: ¬{AA}{c} -> ¬({AB}{c} & ¬{B}{c}) fact7: ¬({FE}{ii} & ¬{FI}{ii}) ; $hypothesis$ = ¬({D}{c} & ¬{B}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçãããã·ãªã·ã«ãLv.43äºä»¶ã¯èµ·ããªã | ({AA} v ¬{B}) | fact1: ã·ãªã·ãLv.82äºä»¶ã¯çããªãããŸãã¯æ
æ²æ·±ããšããããšãèµ·ãããäž¡æ¹ãšãã fact2: ããã·ãªã·ãLv.82äºä»¶ãèµ·ãããªãããããã¯æ
æ²æ·±ããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãããªãã°çŠæ¢ãããšã¯èµ·ãããªã fact3: ããããŽã«ãŽã«ã
Lv.74äºä»¶ã¯çããªããšããã°ããŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçããããããã¯ã·ãªã·ã«ãLv.43äºä»¶ã¯çºçããªãããŸãã¯ã©ã¡ããã ããšããããšã¯ééã£ãŠãã fact4: ããä»®ã«çŠæ¢ãããšãèµ·ãããšãããšãã質ååºæ¥ãããšã¯çºçãããæœã¡æãŠãããšã¯èµ·ããªãããšããããšã¯èª€ãã§ããããšããããšã¯ééã£ãŠãããšããããšã¯ãªã fact5: 埡匷ããšããããšãçºçãã fact6: ä»®ã«çžå¿ãããšããããšã¯çºçããªããããŸãã«ã·ãªã·ãLv.82äºä»¶ã¯çããªããšããã°æ
æ²æ·±ããšããããšã¯èµ·ãããªã fact7: çŠæ¢ãããšã¯çºçããªããšããããšã¯ããŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçããªãããŸã«ããŸãLv.69äºä»¶ãèµ·ããããšããããšãçãããã fact8: æ
æ²æ·±ããšããããšã¯èµ·ããªããšããããšã¯ãŽã«ãŽã«ã
Lv.74äºä»¶ããã³çŠæ¢ãããšãèµ·ããã«åž°çµãã fact9: ããå€å¥ãé£ããšããããšã¯çºçããªããªããå€å¥ãé£ããšããããšãèµ·ããããããã¯ãœã«ã
ãœã¡ã
Lv.66äºä»¶ã¯èµ·ãããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªã | fact1: (¬{D} v {C}) fact2: (¬{D} v {C}) -> ¬{A} fact3: ¬{AA} -> ¬({AA} v ¬{B}) fact4: {A} -> ¬({FU} v ¬{HD}) fact5: {K} fact6: (¬{E} & ¬{D}) -> ¬{C} fact7: ¬{A} -> (¬{AA} & {AB}) fact8: ¬{C} -> ({AA} & {A}) fact9: ¬{FM} -> ¬({FM} v ¬{DK}) | [
"fact1 & fact2 -> int1: çŠæ¢ãããšã¯èµ·ãããªã; fact7 & int1 -> int2: ãŽã«ãŽã«ã
Lv.74äºä»¶ã§ã¯ãªããŸã«ããŸãLv.69äºä»¶ãèµ·ãã; int2 -> int3: ãŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçããªã; int3 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ¬{A}; fact7 & int1 -> int2: (¬{AA} & {AB}); int2 -> int3: ¬{AA}; int3 & fact3 -> hypothesis;"
] | ã質ååºæ¥ãããšãèµ·ãããæœã¡æãŠãããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã | ¬({FU} v ¬{HD}) | [] | 6 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ãªã·ãLv.82äºä»¶ã¯çããªãããŸãã¯æ
æ²æ·±ããšããããšãèµ·ãããäž¡æ¹ãšãã fact2: ããã·ãªã·ãLv.82äºä»¶ãèµ·ãããªãããããã¯æ
æ²æ·±ããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãããªãã°çŠæ¢ãããšã¯èµ·ãããªã fact3: ããããŽã«ãŽã«ã
Lv.74äºä»¶ã¯çããªããšããã°ããŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçããããããã¯ã·ãªã·ã«ãLv.43äºä»¶ã¯çºçããªãããŸãã¯ã©ã¡ããã ããšããããšã¯ééã£ãŠãã fact4: ããä»®ã«çŠæ¢ãããšãèµ·ãããšãããšãã質ååºæ¥ãããšã¯çºçãããæœã¡æãŠãããšã¯èµ·ããªãããšããããšã¯èª€ãã§ããããšããããšã¯ééã£ãŠãããšããããšã¯ãªã fact5: 埡匷ããšããããšãçºçãã fact6: ä»®ã«çžå¿ãããšããããšã¯çºçããªããããŸãã«ã·ãªã·ãLv.82äºä»¶ã¯çããªããšããã°æ
æ²æ·±ããšããããšã¯èµ·ãããªã fact7: çŠæ¢ãããšã¯çºçããªããšããããšã¯ããŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçããªãããŸã«ããŸãLv.69äºä»¶ãèµ·ããããšããããšãçãããã fact8: æ
æ²æ·±ããšããããšã¯èµ·ããªããšããããšã¯ãŽã«ãŽã«ã
Lv.74äºä»¶ããã³çŠæ¢ãããšãèµ·ããã«åž°çµãã fact9: ããå€å¥ãé£ããšããããšã¯çºçããªããªããå€å¥ãé£ããšããããšãèµ·ããããããã¯ãœã«ã
ãœã¡ã
Lv.66äºä»¶ã¯èµ·ãããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªã ; $hypothesis$ = ãŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçãããã·ãªã·ã«ãLv.43äºä»¶ã¯èµ·ããªã ; $proof$ = | fact1 & fact2 -> int1: çŠæ¢ãããšã¯èµ·ãããªã; fact7 & int1 -> int2: ãŽã«ãŽã«ã
Lv.74äºä»¶ã§ã¯ãªããŸã«ããŸãLv.69äºä»¶ãèµ·ãã; int2 -> int3: ãŽã«ãŽã«ã
Lv.74äºä»¶ã¯çºçããªã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{D} v {C}) fact2: (¬{D} v {C}) -> ¬{A} fact3: ¬{AA} -> ¬({AA} v ¬{B}) fact4: {A} -> ¬({FU} v ¬{HD}) fact5: {K} fact6: (¬{E} & ¬{D}) -> ¬{C} fact7: ¬{A} -> (¬{AA} & {AB}) fact8: ¬{C} -> ({AA} & {A}) fact9: ¬{FM} -> ¬({FM} v ¬{DK}) ; $hypothesis$ = ({AA} v ¬{B}) ; $proof$ = | fact1 & fact2 -> int1: ¬{A}; fact7 & int1 -> int2: (¬{AA} & {AB}); int2 -> int3: ¬{AA}; int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | åãã£ãœããšããããšãçãã | {A} | fact1: ãã·ã«ãã·ãLv.57äºä»¶ã§ã¯ãªãè²ãŠæããšããããšãèµ·ããããšããããšã¯åœã fact2: ãã·ã«ãã·ãLv.57äºä»¶ãèµ·ããäžæ¹ã§è²ãŠæããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact3: ããåãæããæããšããããšãçºçãããªãã·ã«ãã·ãLv.22äºä»¶ãèµ·ãããåãã£ãœããšããããšã¯èµ·ããªã fact4: ãç¯ãæããšããããšã¯èµ·ããªããŠãã®äžäžãç¶ããããšã¯çºçããªãããšããããšã¯æãç«ããªããªããœã¡ããœã¡ãLv.33äºä»¶ãèµ·ãã fact5: ä»®ã«ããœã«ããœã¡ãLv.82äºä»¶ã¯èµ·ããªãããšããããšã¯æ¬åœã§ãããšãããšããããLv.81äºä»¶ãèµ·ãããåãæããæããšããããšãèµ·ãã fact6: ããããã·ã«ãã·ãLv.57äºä»¶ã¯çºçããªããæŽã«è²ãŠæããšããããšã¯çºçããªãããšããããšã¯èª€ããªãã°åãã£ãœããšããããšãçãã | fact1: ¬(¬{AA} & {AB}) fact2: ¬({AA} & ¬{AB}) fact3: {C} -> ({B} & ¬{A}) fact4: ¬(¬{FR} & ¬{AH}) -> {DS} fact5: ¬{E} -> ({D} & {C}) fact6: ¬(¬{AA} & ¬{AB}) -> {A} | [] | [] | åãã£ãœããšããããšã¯èµ·ãããªã | ¬{A} | [] | 7 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã·ã«ãã·ãLv.57äºä»¶ã§ã¯ãªãè²ãŠæããšããããšãèµ·ããããšããããšã¯åœã fact2: ãã·ã«ãã·ãLv.57äºä»¶ãèµ·ããäžæ¹ã§è²ãŠæããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact3: ããåãæããæããšããããšãçºçãããªãã·ã«ãã·ãLv.22äºä»¶ãèµ·ãããåãã£ãœããšããããšã¯èµ·ããªã fact4: ãç¯ãæããšããããšã¯èµ·ããªããŠãã®äžäžãç¶ããããšã¯çºçããªãããšããããšã¯æãç«ããªããªããœã¡ããœã¡ãLv.33äºä»¶ãèµ·ãã fact5: ä»®ã«ããœã«ããœã¡ãLv.82äºä»¶ã¯èµ·ããªãããšããããšã¯æ¬åœã§ãããšãããšããããLv.81äºä»¶ãèµ·ãããåãæããæããšããããšãèµ·ãã fact6: ããããã·ã«ãã·ãLv.57äºä»¶ã¯çºçããªããæŽã«è²ãŠæããšããããšã¯çºçããªãããšããããšã¯èª€ããªãã°åãã£ãœããšããããšãçãã ; $hypothesis$ = åãã£ãœããšããããšãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA} & {AB}) fact2: ¬({AA} & ¬{AB}) fact3: {C} -> ({B} & ¬{A}) fact4: ¬(¬{FR} & ¬{AH}) -> {DS} fact5: ¬{E} -> ({D} & {C}) fact6: ¬(¬{AA} & ¬{AB}) -> {A} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ä»®ã«ãã·ãã·ã¡ãLv.22äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãªãã°é
èããšããããšã¯èµ·ãããªããŠããã«å°å
¥ããããšã¯èµ·ãããªã | ¬{A} -> (¬{B} & ¬{C}) | fact1: å°å
¥ããããšã¯èµ·ããªã fact2: ããããç·ã®åããããšããããšã¯çããªããŠæŽã«èšé²åããããšã¯èµ·ããªãããšããããšã¯æãç«ããªããšãããé
èããšããããšã¯çããªã fact3: ãã¡ããã«ãLv.73äºä»¶ã¯çºçããªã fact4: ä»®ã«ããŽããŽã¡ã
Lv.56äºä»¶ãèµ·ããªãããã€ãœããœã«Lv.66äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã ãšãããšèŠåãé£ããšããããšã¯çºçããªã fact5: ãæ¥ãããããšããããšãçãããä»æç¡ããšããããšã¯çããªãããšããããšã¯èª€ãã fact6: ã·ãã·ã¡ãLv.22äºä»¶ã¯ãé
èããšããããšã¯çããªãããã®äžå°å
¥ããããšã¯èµ·ãããªãããšããããšãæã fact7: ã·ãªã¢ã«åããããšãçºçããªããããããLv.22äºä»¶ã¯çããªã | fact1: ¬{C} fact2: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact3: ¬{DQ} fact4: ¬(¬{AS} & ¬{HT}) -> ¬{GS} fact5: ¬({CL} & ¬{IA}) fact6: {A} -> (¬{B} & ¬{C}) fact7: (¬{O} & ¬{HB}) | [] | [] | null | null | [] | null | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: å°å
¥ããããšã¯èµ·ããªã fact2: ããããç·ã®åããããšããããšã¯çããªããŠæŽã«èšé²åããããšã¯èµ·ããªãããšããããšã¯æãç«ããªããšãããé
èããšããããšã¯çããªã fact3: ãã¡ããã«ãLv.73äºä»¶ã¯çºçããªã fact4: ä»®ã«ããŽããŽã¡ã
Lv.56äºä»¶ãèµ·ããªãããã€ãœããœã«Lv.66äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã ãšãããšèŠåãé£ããšããããšã¯çºçããªã fact5: ãæ¥ãããããšããããšãçãããä»æç¡ããšããããšã¯çããªãããšããããšã¯èª€ãã fact6: ã·ãã·ã¡ãLv.22äºä»¶ã¯ãé
èããšããããšã¯çããªãããã®äžå°å
¥ããããšã¯èµ·ãããªãããšããããšãæã fact7: ã·ãªã¢ã«åããããšãçºçããªããããããLv.22äºä»¶ã¯çããªã ; $hypothesis$ = ä»®ã«ãã·ãã·ã¡ãLv.22äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãªãã°é
èããšããããšã¯èµ·ãããªããŠããã«å°å
¥ããããšã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C} fact2: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact3: ¬{DQ} fact4: ¬(¬{AS} & ¬{HT}) -> ¬{GS} fact5: ¬({CL} & ¬{IA}) fact6: {A} -> (¬{B} & ¬{C}) fact7: (¬{O} & ¬{HB}) ; $hypothesis$ = ¬{A} -> (¬{B} & ¬{C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ãã¿ã«Lv.46ã¯é«ããã©æ¬ãäžãããšããããšã¯ãªãããšããããšã¯åœã§ãã | ¬({F}{b} & ¬{E}{b}) | fact1: ãããä»®ã«ãã®ã¿ãã¿ã«Lv.46ã¯èªçµŠãããšãããšããã®ã¿ãã¿ã«Lv.46ã¯åãŒã£ããããšããããšã¯æãç«ã€ããšããããšã¯äºå®ãšç°ãªããªã fact2: ãããã®ãŽããŽãLv.39ã¯ãã€ç¡ããšãããšããã®ã¿ãã¿ã«Lv.46ã¯å®ã£ãœãäžæ¹ã§ç¶ç¶ãé£ããªãããšããããšã¯æãç«ããªã fact3: ãã®ãŽããŽãLv.39ã¯ãã€ç¡ã fact4: ããä»®ã«ããã®ã¿ãã¿ã«Lv.46ã¯å®ã£ãœãããããç¶ç¶ãé£ããªãããšããããšã¯èª€ãã§ãããªãããã¯èªçµŠãã fact5: ããããã®ã¿ãã¿ã«Lv.46ãåãŒã£ãããªãã°ããã¯å³ã€ã | fact1: {B}{b} -> {C}{b} fact2: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact3: {A}{a} fact4: ¬({AA}{b} & ¬{AB}{b}) -> {B}{b} fact5: {C}{b} -> {D}{b} | [
"fact2 & fact3 -> int1: ããã®ã¿ãã¿ã«Lv.46ã¯å®ã£ãœãããããç¶ç¶ãé£ããªãããšããããšã¯æãç«ããªã; int1 & fact4 -> int2: ãã®ã¿ãã¿ã«Lv.46ã¯èªçµŠãã; int2 & fact1 -> int3: ããã®ã¿ãã¿ã«Lv.46ã¯åãŒã£ããããšããããšã¯èª€ã£ãŠãããšããããšã¯ãªã; int3 & fact5 -> int4: ãã®ã¿ãã¿ã«Lv.46ã¯å³ã€ã;"
] | [
"fact2 & fact3 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: {B}{b}; int2 & fact1 -> int3: {C}{b}; int3 & fact5 -> int4: {D}{b};"
] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããä»®ã«ãã®ã¿ãã¿ã«Lv.46ã¯èªçµŠãããšãããšããã®ã¿ãã¿ã«Lv.46ã¯åãŒã£ããããšããããšã¯æãç«ã€ããšããããšã¯äºå®ãšç°ãªããªã fact2: ãããã®ãŽããŽãLv.39ã¯ãã€ç¡ããšãããšããã®ã¿ãã¿ã«Lv.46ã¯å®ã£ãœãäžæ¹ã§ç¶ç¶ãé£ããªãããšããããšã¯æãç«ããªã fact3: ãã®ãŽããŽãLv.39ã¯ãã€ç¡ã fact4: ããä»®ã«ããã®ã¿ãã¿ã«Lv.46ã¯å®ã£ãœãããããç¶ç¶ãé£ããªãããšããããšã¯èª€ãã§ãããªãããã¯èªçµŠãã fact5: ããããã®ã¿ãã¿ã«Lv.46ãåãŒã£ãããªãã°ããã¯å³ã€ã ; $hypothesis$ = ããã®ã¿ãã¿ã«Lv.46ã¯é«ããã©æ¬ãäžãããšããããšã¯ãªãããšããããšã¯åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} -> {C}{b} fact2: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact3: {A}{a} fact4: ¬({AA}{b} & ¬{AB}{b}) -> {B}{b} fact5: {C}{b} -> {D}{b} ; $hypothesis$ = ¬({F}{b} & ¬{E}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ããŽã¡ã
Lv.93ã¯å³æåãã | {C}{a} | fact1: ãã®ãŽã«ããŽã¡ã
Lv.93ã¯æ¬²æ·±ã fact2: ããã®ãã«ããLv.5ã¯åŸ¡é«ããã©ããã¯çŸããªãããšããããšã¯åœã§ãããšãããšãã®ãœã¡ããœã¡ã
Lv.17ã¯å³æåããªã fact3: ãããããã¢ã³ã¹ã¿ãŒã¯åŸ¡é«ããšããããšã¯ãªããšããã°ãããã¯çŸããšããããšã¯ãªãäžæ¹ã§å³æåããããšããããšã¯ééãã fact4: ãã®ãŽã«ããŽã¡ã
Lv.93ã¯é·ããªã fact5: ãããã®ãŽã«ããŽã¡ã
Lv.93ãé·ããªããšããã°ããã¯æ¬²æ·±ãäžæ¹ã§çŸããªã fact6: ä»®ã«ããã®ãŽã«ããŽã¡ã
Lv.93ã¯çŸããªãããšããããšã¯æ£ãããšããã°ããã¯çŸã fact7: ããã®ãŽã«ããŽã¡ã
Lv.93ã¯é·ããªãããšããããšã¯æãç«ã€ãšããã°æ¬²æ·±ã fact8: ãããã®ãŽã«ããŽã¡ã
Lv.93ãçŸããšãããšå³æåãã | fact1: {AA}{a} fact2: ¬({D}{c} & ¬{B}{c}) -> ¬{C}{b} fact3: (x): ¬{D}x -> ¬(¬{B}x & {C}x) fact4: ¬{A}{a} fact5: ¬{A}{a} -> ({AA}{a} & ¬{AB}{a}) fact6: ¬{AB}{a} -> {B}{a} fact7: ¬{A}{a} -> {AA}{a} fact8: {B}{a} -> {C}{a} | [
"fact5 & fact4 -> int1: ããã®ãŽã«ããŽã¡ã
Lv.93ã¯æ¬²æ·±ãããã©ããã¯çŸããªãããšããããšã¯æãç«ã€; int1 -> int2: ããã®ãŽã«ããŽã¡ã
Lv.93ã¯çŸããšããããšã¯ãªãããšããããšã¯æãç«ã€; int2 & fact6 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.93ã¯çŸã; int3 & fact8 -> hypothesis;"
] | [
"fact5 & fact4 -> int1: ({AA}{a} & ¬{AB}{a}); int1 -> int2: ¬{AB}{a}; int2 & fact6 -> int3: {B}{a}; int3 & fact8 -> hypothesis;"
] | ãã®ã¿ãã¿ãªLv.35ã¯èµ°ãå¯ãããããçŸããªã | ({FE}{ff} & ¬{AB}{ff}) | [
"fact9 -> int4: ããä»®ã«ãã®ãœã¡ããœã¡ã
Lv.17ã¯åŸ¡é«ããšããããšã¯ãªããšããã°ãããã¯çŸããªãããããå³æåããããšããããšã¯åã§ãã;"
] | 6 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã«ããŽã¡ã
Lv.93ã¯æ¬²æ·±ã fact2: ããã®ãã«ããLv.5ã¯åŸ¡é«ããã©ããã¯çŸããªãããšããããšã¯åœã§ãããšãããšãã®ãœã¡ããœã¡ã
Lv.17ã¯å³æåããªã fact3: ãããããã¢ã³ã¹ã¿ãŒã¯åŸ¡é«ããšããããšã¯ãªããšããã°ãããã¯çŸããšããããšã¯ãªãäžæ¹ã§å³æåããããšããããšã¯ééãã fact4: ãã®ãŽã«ããŽã¡ã
Lv.93ã¯é·ããªã fact5: ãããã®ãŽã«ããŽã¡ã
Lv.93ãé·ããªããšããã°ããã¯æ¬²æ·±ãäžæ¹ã§çŸããªã fact6: ä»®ã«ããã®ãŽã«ããŽã¡ã
Lv.93ã¯çŸããªãããšããããšã¯æ£ãããšããã°ããã¯çŸã fact7: ããã®ãŽã«ããŽã¡ã
Lv.93ã¯é·ããªãããšããããšã¯æãç«ã€ãšããã°æ¬²æ·±ã fact8: ãããã®ãŽã«ããŽã¡ã
Lv.93ãçŸããšãããšå³æåãã ; $hypothesis$ = ãã®ãŽã«ããŽã¡ã
Lv.93ã¯å³æåãã ; $proof$ = | fact5 & fact4 -> int1: ããã®ãŽã«ããŽã¡ã
Lv.93ã¯æ¬²æ·±ãããã©ããã¯çŸããªãããšããããšã¯æãç«ã€; int1 -> int2: ããã®ãŽã«ããŽã¡ã
Lv.93ã¯çŸããšããããšã¯ãªãããšããããšã¯æãç«ã€; int2 & fact6 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.93ã¯çŸã; int3 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: {AA}{a} fact2: ¬({D}{c} & ¬{B}{c}) -> ¬{C}{b} fact3: (x): ¬{D}x -> ¬(¬{B}x & {C}x) fact4: ¬{A}{a} fact5: ¬{A}{a} -> ({AA}{a} & ¬{AB}{a}) fact6: ¬{AB}{a} -> {B}{a} fact7: ¬{A}{a} -> {AA}{a} fact8: {B}{a} -> {C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | fact5 & fact4 -> int1: ({AA}{a} & ¬{AB}{a}); int1 -> int2: ¬{AB}{a}; int2 & fact6 -> int3: {B}{a}; int3 & fact8 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ãã | {A} | fact1: åãçµã¿æããšããããšãçºçãã fact2: åãçµã¿æããšããããšã¯ãã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ããããœããœã¡ãLv.63äºä»¶ã¯çºçããªãããšããããšã«é»æ¢ããã fact3: çããšããããšãçãã fact4: ãœããœã¡ãLv.63äºä»¶ã¯èµ·ãããªã fact5: ãœããœã¡ãLv.63äºä»¶ã¯ã¿ã«ã
ã¿ãLv.71äºä»¶ã®ãã£ãããšãªã | fact1: {C} fact2: ({A} & ¬{B}) -> ¬{C} fact3: {GQ} fact4: ¬{B} fact5: {B} -> {A} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ãã; assump1 & fact4 -> int1: ã¿ã«ã
ã¿ãLv.71äºä»¶ãçãããã©ãœããœã¡ãLv.63äºä»¶ã¯çºçããªã; int1 & fact2 -> int2: åãçµã¿æããšããããšã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact4 -> int1: ({A} & ¬{B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ãã | {A} | [] | 6 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: åãçµã¿æããšããããšãçºçãã fact2: åãçµã¿æããšããããšã¯ãã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ããããœããœã¡ãLv.63äºä»¶ã¯çºçããªãããšããããšã«é»æ¢ããã fact3: çããšããããšãçãã fact4: ãœããœã¡ãLv.63äºä»¶ã¯èµ·ãããªã fact5: ãœããœã¡ãLv.63äºä»¶ã¯ã¿ã«ã
ã¿ãLv.71äºä»¶ã®ãã£ãããšãªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.71äºä»¶ãèµ·ãã; assump1 & fact4 -> int1: ã¿ã«ã
ã¿ãLv.71äºä»¶ãçãããã©ãœããœã¡ãLv.63äºä»¶ã¯çºçããªã; int1 & fact2 -> int2: åãçµã¿æããšããããšã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} & ¬{B}) -> ¬{C} fact3: {GQ} fact4: ¬{B} fact5: {B} -> {A} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; assump1 & fact4 -> int1: ({A} & ¬{B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽãªãŽã¡ãLv.82ã¯åãèŸãããŸãçã
ããããšããããšã¯åœã | ¬({A}{a} & {C}{a}) | fact1: ãã®ãŽãªãŽã¡ãLv.82ã¯çã
ãã | fact1: {C}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŽãªãŽã¡ãLv.82ã¯çã
ãã ; $hypothesis$ = ããã®ãŽãªãŽã¡ãLv.82ã¯åãèŸãããŸãçã
ããããšããããšã¯åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} ; $hypothesis$ = ¬({A}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã¿ãã¿ãLv.43äºä»¶ã¯çºçããªã | ¬{F} | fact1: ããããªLv.45äºä»¶ãçãã fact2: ãããããããªLv.45äºä»¶ãèµ·ãããã¿ãã¿ã¡ãLv.1äºä»¶ãèµ·ãããªããšãããšã¿ãã¿ãLv.43äºä»¶ã¯èµ·ãããªã fact3: å¯æããããšããããšã¯èµ·ããªããšããããšã¯ãã¿ã¡ã
ã¿ãLv.68äºä»¶ããã³ã¿ãã¿ãLv.43äºä»¶äž¡æ¹ãçºçããããšããããšã®åå ãšãªã fact4: ããä»®ã«å¯æããããšããããšã¯çºçããªããªãã°ãã¿ã¡ã
ã¿ã«Lv.41äºä»¶ãçããããããã¿ã¡ã
ã¿ãLv.68äºä»¶ãèµ·ããããšããããšã¯äºå®ã§ãã fact5: ã¿ã¡ã
ã¿ãLv.68äºä»¶ããã³å¯æããããšããããšãèµ·ãã fact6: ãœããœã¡ãLv.36äºä»¶ãå¯æããããšããããšããããã¯ã©ã¡ããã¯ã¿ãã¿ã¡ãLv.1äºä»¶ãé»æ¢ãã | fact1: {E} fact2: ({E} & ¬{D}) -> ¬{F} fact3: ¬{B} -> ({A} & {F}) fact4: ¬{B} -> ({CF} & {A}) fact5: ({A} & {B}) fact6: ({C} v {B}) -> ¬{D} | [
"fact5 -> int1: å¯æããããšããããšãèµ·ãã; int1 -> int2: ãœããœã¡ãLv.36äºä»¶ããŸãã¯å¯æããããšããããšãäž¡æ¹ãšããèµ·ãã; int2 & fact6 -> int3: ã¿ãã¿ã¡ãLv.1äºä»¶ã¯çºçããªã; int3 & fact1 -> int4: ããããªLv.45äºä»¶ã¯çºçãããã©ã¿ãã¿ã¡ãLv.1äºä»¶ã¯èµ·ãããªã; int4 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact6 -> int3: ¬{D}; int3 & fact1 -> int4: ({E} & ¬{D}); int4 & fact2 -> hypothesis;"
] | ãã¿ãã¿ãLv.43äºä»¶ãçºçããããšããããšã¯æ¬åœã§ãã | {F} | [] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããªLv.45äºä»¶ãçãã fact2: ãããããããªLv.45äºä»¶ãèµ·ãããã¿ãã¿ã¡ãLv.1äºä»¶ãèµ·ãããªããšãããšã¿ãã¿ãLv.43äºä»¶ã¯èµ·ãããªã fact3: å¯æããããšããããšã¯èµ·ããªããšããããšã¯ãã¿ã¡ã
ã¿ãLv.68äºä»¶ããã³ã¿ãã¿ãLv.43äºä»¶äž¡æ¹ãçºçããããšããããšã®åå ãšãªã fact4: ããä»®ã«å¯æããããšããããšã¯çºçããªããªãã°ãã¿ã¡ã
ã¿ã«Lv.41äºä»¶ãçããããããã¿ã¡ã
ã¿ãLv.68äºä»¶ãèµ·ããããšããããšã¯äºå®ã§ãã fact5: ã¿ã¡ã
ã¿ãLv.68äºä»¶ããã³å¯æããããšããããšãèµ·ãã fact6: ãœããœã¡ãLv.36äºä»¶ãå¯æããããšããããšããããã¯ã©ã¡ããã¯ã¿ãã¿ã¡ãLv.1äºä»¶ãé»æ¢ãã ; $hypothesis$ = ã¿ãã¿ãLv.43äºä»¶ã¯çºçããªã ; $proof$ = | fact5 -> int1: å¯æããããšããããšãèµ·ãã; int1 -> int2: ãœããœã¡ãLv.36äºä»¶ããŸãã¯å¯æããããšããããšãäž¡æ¹ãšããèµ·ãã; int2 & fact6 -> int3: ã¿ãã¿ã¡ãLv.1äºä»¶ã¯çºçããªã; int3 & fact1 -> int4: ããããªLv.45äºä»¶ã¯çºçãããã©ã¿ãã¿ã¡ãLv.1äºä»¶ã¯èµ·ãããªã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {E} fact2: ({E} & ¬{D}) -> ¬{F} fact3: ¬{B} -> ({A} & {F}) fact4: ¬{B} -> ({CF} & {A}) fact5: ({A} & {B}) fact6: ({C} v {B}) -> ¬{D} ; $hypothesis$ = ¬{F} ; $proof$ = | fact5 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact6 -> int3: ¬{D}; int3 & fact1 -> int4: ({E} & ¬{D}); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãŒãããšããããšãçºçãããå€åãæããšããããšã¯çºçããªã | ({F} & ¬{E}) | fact1: ãŒãããšããããšãçãã fact2: æ ¹åŒ·ããšããããšã¯èµ·ããªããšããããšã¯å€åãæããšããããšãé»æ¢ãã fact3: æ©ãé£ããšããããšãšæ骚奪èããããšãçºçãã fact4: æ骚奪èããããšããã³ããããLv.2äºä»¶ãèµ·ããã¯ãæ ¹åŒ·ããšããããšãçºçããããšããããšãåé¿ãã fact5: ããããLv.2äºä»¶ãçºçãã | fact1: {F} fact2: ¬{D} -> ¬{E} fact3: ({A} & {B}) fact4: ({B} & {C}) -> ¬{D} fact5: {C} | [
"fact3 -> int1: æ骚奪èããããšãèµ·ãã; int1 & fact5 -> int2: æ骚奪èããããšãèµ·ãããããã«ããããLv.2äºä»¶ãèµ·ãã; int2 & fact4 -> int3: æ ¹åŒ·ããšããããšã¯çºçããªã; int3 & fact2 -> int4: å€åãæããšããããšã¯çºçããªã; int4 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact5 -> int2: ({B} & {C}); int2 & fact4 -> int3: ¬{D}; int3 & fact2 -> int4: ¬{E}; int4 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãŒãããšããããšãçãã fact2: æ ¹åŒ·ããšããããšã¯èµ·ããªããšããããšã¯å€åãæããšããããšãé»æ¢ãã fact3: æ©ãé£ããšããããšãšæ骚奪èããããšãçºçãã fact4: æ骚奪èããããšããã³ããããLv.2äºä»¶ãèµ·ããã¯ãæ ¹åŒ·ããšããããšãçºçããããšããããšãåé¿ãã fact5: ããããLv.2äºä»¶ãçºçãã ; $hypothesis$ = ãŒãããšããããšãçºçãããå€åãæããšããããšã¯çºçããªã ; $proof$ = | fact3 -> int1: æ骚奪èããããšãèµ·ãã; int1 & fact5 -> int2: æ骚奪èããããšãèµ·ãããããã«ããããLv.2äºä»¶ãèµ·ãã; int2 & fact4 -> int3: æ ¹åŒ·ããšããããšã¯çºçããªã; int3 & fact2 -> int4: å€åãæããšããããšã¯çºçããªã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {F} fact2: ¬{D} -> ¬{E} fact3: ({A} & {B}) fact4: ({B} & {C}) -> ¬{D} fact5: {C} ; $hypothesis$ = ({F} & ¬{E}) ; $proof$ = | fact3 -> int1: {B}; int1 & fact5 -> int2: ({B} & {C}); int2 & fact4 -> int3: ¬{D}; int3 & fact2 -> int4: ¬{E}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœãLv.40ã¯ããããããªã | ¬{C}{a} | fact1: ãããããã®ãœããœãLv.40ã¯å ªãæããªããã©ããã¯é·çŽ°ãããšããããšã¯æãç«ããªããšããããã®ãœããœãLv.40ã¯ããããã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æãæã fact3: ãã®ãœããœãLv.40ã¯å ªãæã fact4: æãæãã¢ã³ã¹ã¿ãŒã¯ãŸã©ãã£ããããããã劬ãŸãããªã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯ããããããªãããããã¯æããããããããã¯äž¡æ¹ã ããšããããšã¯èª€ããªãã°ããã¯é·çŽ°ã fact6: é·çŽ°ããªãã¢ã³ã¹ã¿ãŒã¯ããããããªããã©å ªãæã fact7: ãããããã¢ã³ã¹ã¿ãŒã¯é·çŽ°ããšããã°ãããã¯å ªãæããªããããã埡詊ãæãããšããããšã¯èª€ãã§ãã | fact1: ¬(¬{A}{a} & {B}{a}) -> {C}{a} fact2: (x): {G}x fact3: {A}{a} fact4: (x): {G}x -> ({E}x & ¬{F}x) fact5: (x): ¬(¬{C}x v {D}x) -> {B}x fact6: (x): ¬{B}x -> (¬{C}x & {A}x) fact7: (x): {B}x -> ¬(¬{A}x & {IB}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.40ã¯å ªãæããªãããã©ããã¯é·çŽ°ã; assump1 -> int1: ãã®ãœããœãLv.40ã¯å ªãæããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœããœãLv.40ã¯å ªãæããªãäžæ¹ã§é·çŽ°ãããšããããšã¯åœã ; int3 & fact1 -> hypothesis;"
] | [
"void -> assump1: (¬{A}{a} & {B}{a}); assump1 -> int1: ¬{A}{a}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{A}{a} & {B}{a}); int3 & fact1 -> hypothesis;"
] | ãã®ãœããœãLv.40ã¯ããããããªã | ¬{C}{a} | [
"fact8 -> int4: ãããã®ãœããœãLv.40ãé·çŽ°ããªããšãããšããããããªãããããå ªãæã;"
] | 5 | 5 | 3 | 5 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ãœããœãLv.40ã¯å ªãæããªããã©ããã¯é·çŽ°ãããšããããšã¯æãç«ããªããšããããã®ãœããœãLv.40ã¯ããããã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æãæã fact3: ãã®ãœããœãLv.40ã¯å ªãæã fact4: æãæãã¢ã³ã¹ã¿ãŒã¯ãŸã©ãã£ããããããã劬ãŸãããªã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯ããããããªãããããã¯æããããããããã¯äž¡æ¹ã ããšããããšã¯èª€ããªãã°ããã¯é·çŽ°ã fact6: é·çŽ°ããªãã¢ã³ã¹ã¿ãŒã¯ããããããªããã©å ªãæã fact7: ãããããã¢ã³ã¹ã¿ãŒã¯é·çŽ°ããšããã°ãããã¯å ªãæããªããããã埡詊ãæãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãã®ãœããœãLv.40ã¯ããããããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœãLv.40ã¯å ªãæããªãããã©ããã¯é·çŽ°ã; assump1 -> int1: ãã®ãœããœãLv.40ã¯å ªãæããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœããœãLv.40ã¯å ªãæããªãäžæ¹ã§é·çŽ°ãããšããããšã¯åœã ; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{A}{a} & {B}{a}) -> {C}{a} fact2: (x): {G}x fact3: {A}{a} fact4: (x): {G}x -> ({E}x & ¬{F}x) fact5: (x): ¬(¬{C}x v {D}x) -> {B}x fact6: (x): ¬{B}x -> (¬{C}x & {A}x) fact7: (x): {B}x -> ¬(¬{A}x & {IB}x) ; $hypothesis$ = ¬{C}{a} ; $proof$ = | void -> assump1: (¬{A}{a} & {B}{a}); assump1 -> int1: ¬{A}{a}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{A}{a} & {B}{a}); int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ã«ã
ã¿ã«Lv.15ã¯è¡ãæ¥ããªãããšããããšã¯æãç«ã€ | ¬{A}{a} | fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯çšè¯ããªããè
ç²æç¡ããšããããšã¯ãªãããããããã¯è¡ãæ¥ããªãããšããããšã¯æ£ãããªã fact2: ããããæã£å©ããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸããŸãLv.14ã¯çšè¯ããŠå ããŠæã£å©ã fact3: ããã®ã¿ã«ã
ã¿ã«Lv.15ã¯çšè¯ããšããããšã¯ãªãããšããããšã¯æ¬åœã fact4: ããä»®ã«ãã®ã¿ã«ã
ã¿ã«Lv.15ãè
ç²æç¡ããšãããšçšè¯ã fact5: ä»®ã«ãã®ã¿ã«ã
ã¿ã«Lv.15ãè¡ãæ¥ããã°ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯è
ç²æç¡ã fact6: ãã®ã·ã«ãã·ã«ãLv.71ã¯æã£å©ããæµã蟌ã | fact1: (x): {C}x -> ¬(¬{B}x & ¬{A}x) fact2: (x): {D}x -> ({C}{b} & {D}{b}) fact3: ¬{C}{a} fact4: {B}{a} -> {C}{a} fact5: {A}{a} -> {B}{a} fact6: ({D}{c} & {E}{c}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ã
ã¿ã«Lv.15ã¯è¡ãæ¥ãã; fact5 & assump1 -> int1: ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯è
ç²æç¡ã; int1 & fact4 -> int2: ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯çšè¯ã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{a}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯é§è»ããªã | ¬{O}{a} | [
"fact7 -> int4: ããä»®ã«ãã®ãŸããŸãLv.14ã¯çšè¯ããªããè
ç²æç¡ããšããããšã¯ãªããŠæŽã«è¡ãæ¥ããªãããšããããšã¯æãç«ããªã; fact9 -> int5: ãã®ã·ã«ãã·ã«ãLv.71ã¯æã£å©ã; int5 -> int6: äœããã®ã¢ã³ã¹ã¿ãŒã¯æã£å©ã; int6 & fact8 -> int7: ããã®ãŸããŸãLv.14ã¯çšè¯ããå ããŠããã¯æã£å©ãããšããããšã¯æ¬åœã ; int7 -> int8: ãã®ãŸããŸãLv.14ã¯çšè¯ã; int4 & int8 -> int9: ããã®ãŸããŸãLv.14ã¯è
ç²æç¡ããªããŠããã«è¡ãæ¥ãããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã; int9 -> int10: ããè
ç²æç¡ããªãããããè¡ãæ¥ããªãããšããããšã¯åãªãã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯çšè¯ããªããè
ç²æç¡ããšããããšã¯ãªãããããããã¯è¡ãæ¥ããªãããšããããšã¯æ£ãããªã fact2: ããããæã£å©ããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸããŸãLv.14ã¯çšè¯ããŠå ããŠæã£å©ã fact3: ããã®ã¿ã«ã
ã¿ã«Lv.15ã¯çšè¯ããšããããšã¯ãªãããšããããšã¯æ¬åœã fact4: ããä»®ã«ãã®ã¿ã«ã
ã¿ã«Lv.15ãè
ç²æç¡ããšãããšçšè¯ã fact5: ä»®ã«ãã®ã¿ã«ã
ã¿ã«Lv.15ãè¡ãæ¥ããã°ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯è
ç²æç¡ã fact6: ãã®ã·ã«ãã·ã«ãLv.71ã¯æã£å©ããæµã蟌ã ; $hypothesis$ = ããã®ã¿ã«ã
ã¿ã«Lv.15ã¯è¡ãæ¥ããªãããšããããšã¯æãç«ã€ ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã«ã
ã¿ã«Lv.15ã¯è¡ãæ¥ãã; fact5 & assump1 -> int1: ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯è
ç²æç¡ã; int1 & fact4 -> int2: ãã®ã¿ã«ã
ã¿ã«Lv.15ã¯çšè¯ã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {C}x -> ¬(¬{B}x & ¬{A}x) fact2: (x): {D}x -> ({C}{b} & {D}{b}) fact3: ¬{C}{a} fact4: {B}{a} -> {C}{a} fact5: {A}{a} -> {B}{a} fact6: ({D}{c} & {E}{c}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{a}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.56ã¯é²ã¿æã | {E}{e} | fact1: ããã®ãŸããŸãLv.37ã¯å¿èš±ãªããªããããŸãã«åããé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact2: ãããããã®ãŸããŸãLv.37ã¯å¿èš±ãªããšããããšã¯ãªãããã®äžåããé£ããªãããšããããšã¯äºå®ãšç°ãªããšãããšãã®ãŸããŸãªLv.60ã¯çããæããªã fact3: ãã®ã·ã¡ã
ã·ãLv.56ãç¶ç¶ãé£ããšããããšã¯ãªããã©ãããããŠã³ããŒããããªããã®ã·ã¡ã
ã·ãLv.56ã¯æãæããªã fact4: æãæããªãã¢ã³ã¹ã¿ãŒã¯æãŠãç¡ããèµ·ããæãããããã¯äž¡æ¹ã fact5: ããä»®ã«ãã®ãŸããŸãªLv.60ãèµ·ããæããèŠéããªããšããããã®ãŸã¡ã
ãŸãLv.59ã¯æãŠãç¡ããšããããšã¯ãªã fact6: ãã®ãŸããŸãLv.37ã¯åãæããªã fact7: çããæãã¢ã³ã¹ã¿ãŒã¯é²ã¿æããªããèŠéããªã fact8: ä»®ã«ãã®ãŸããŸãªLv.60ãçããæããªããšãããšãã®ãŸããŸãªLv.60ã¯èµ·ããæããã©ããã¯èŠéããªã fact9: ããããã®ãã«ããLv.56ã¯æãŠãç¡ãäžæ¹ã§æãæããªãããšããããšã¯åœã ãšããããã®ã·ã¡ã
ã·ãLv.56ã¯é²ã¿æã fact10: ãã®ãŸã¡ã
ãŸãLv.59ã¯æãŠãç¡ããªããªãã°ããã®ãã«ããLv.56ã¯æãŠãç¡ããã©æãæããªãããšããããšã¯ééãã§ãã fact11: ããä»®ã«ãã®ãŸããŸãLv.37ãåãæããªããªããã®ã·ã¡ã
ã·ãLv.56ã¯ç¶ç¶ãé£ããªããã©ããŠã³ããŒããã | fact1: ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬(¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact3: (¬{G}{e} & {H}{e}) -> ¬{F}{e} fact4: (x): ¬{F}x -> ({D}x v {C}x) fact5: ({C}{b} & ¬{A}{b}) -> ¬{D}{c} fact6: ¬{I}{a} fact7: (x): {B}x -> (¬{E}x & ¬{A}x) fact8: ¬{B}{b} -> ({C}{b} & ¬{A}{b}) fact9: ¬({D}{d} & ¬{F}{d}) -> {E}{e} fact10: ¬{D}{c} -> ¬({D}{d} & ¬{F}{d}) fact11: ¬{I}{a} -> (¬{G}{e} & {H}{e}) | [
"fact2 & fact1 -> int1: ãã®ãŸããŸãªLv.60ã¯çããæããªã; int1 & fact8 -> int2: ãã®ãŸããŸãªLv.60ã¯èµ·ããæããã©èŠéãããšããããšã¯ãªã; int2 & fact5 -> int3: ãã®ãŸã¡ã
ãŸãLv.59ã¯æãŠãç¡ããªã; int3 & fact10 -> int4: ããã®ãã«ããLv.56ã¯æãŠãç¡ãããã©ããã¯æãæããªãããšããããšã¯ééãã ; int4 & fact9 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ¬{B}{b}; int1 & fact8 -> int2: ({C}{b} & ¬{A}{b}); int2 & fact5 -> int3: ¬{D}{c}; int3 & fact10 -> int4: ¬({D}{d} & ¬{F}{d}); int4 & fact9 -> hypothesis;"
] | ãã®ã·ã¡ã
ã·ãLv.56ã¯é²ã¿æããªã | ¬{E}{e} | [
"fact14 -> int5: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.56ãçããæããªãã°é²ã¿æããªããŠå ããŠèŠéããªã; fact12 -> int6: ãããã®ã·ã¡ã
ã·ãLv.56ãæãæããªããšããã°æãŠãç¡ãããããã¯ããã¯èµ·ããæãããããã¯äž¡æ¹ãšãã ; fact15 & fact16 -> int7: ãã®ã·ã¡ã
ã·ãLv.56ã¯ç¶ç¶ãé£ããšããããšã¯ãªããã©ããŠã³ããŒããã; fact13 & int7 -> int8: ãã®ã·ã¡ã
ã·ãLv.56ã¯æãæããšããããšã¯ãªã; int6 & int8 -> int9: ããã®ã·ã¡ã
ã·ãLv.56ã¯æãŠãç¡ãããŸãã¯ããã¯èµ·ããæãããŸãã¯äž¡æ¹ã ããšããããšã¯æãç«ã€;"
] | 6 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ãŸããŸãLv.37ã¯å¿èš±ãªããªããããŸãã«åããé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact2: ãããããã®ãŸããŸãLv.37ã¯å¿èš±ãªããšããããšã¯ãªãããã®äžåããé£ããªãããšããããšã¯äºå®ãšç°ãªããšãããšãã®ãŸããŸãªLv.60ã¯çããæããªã fact3: ãã®ã·ã¡ã
ã·ãLv.56ãç¶ç¶ãé£ããšããããšã¯ãªããã©ãããããŠã³ããŒããããªããã®ã·ã¡ã
ã·ãLv.56ã¯æãæããªã fact4: æãæããªãã¢ã³ã¹ã¿ãŒã¯æãŠãç¡ããèµ·ããæãããããã¯äž¡æ¹ã fact5: ããä»®ã«ãã®ãŸããŸãªLv.60ãèµ·ããæããèŠéããªããšããããã®ãŸã¡ã
ãŸãLv.59ã¯æãŠãç¡ããšããããšã¯ãªã fact6: ãã®ãŸããŸãLv.37ã¯åãæããªã fact7: çããæãã¢ã³ã¹ã¿ãŒã¯é²ã¿æããªããèŠéããªã fact8: ä»®ã«ãã®ãŸããŸãªLv.60ãçããæããªããšãããšãã®ãŸããŸãªLv.60ã¯èµ·ããæããã©ããã¯èŠéããªã fact9: ããããã®ãã«ããLv.56ã¯æãŠãç¡ãäžæ¹ã§æãæããªãããšããããšã¯åœã ãšããããã®ã·ã¡ã
ã·ãLv.56ã¯é²ã¿æã fact10: ãã®ãŸã¡ã
ãŸãLv.59ã¯æãŠãç¡ããªããªãã°ããã®ãã«ããLv.56ã¯æãŠãç¡ããã©æãæããªãããšããããšã¯ééãã§ãã fact11: ããä»®ã«ãã®ãŸããŸãLv.37ãåãæããªããªããã®ã·ã¡ã
ã·ãLv.56ã¯ç¶ç¶ãé£ããªããã©ããŠã³ããŒããã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.56ã¯é²ã¿æã ; $proof$ = | fact2 & fact1 -> int1: ãã®ãŸããŸãªLv.60ã¯çããæããªã; int1 & fact8 -> int2: ãã®ãŸããŸãªLv.60ã¯èµ·ããæããã©èŠéãããšããããšã¯ãªã; int2 & fact5 -> int3: ãã®ãŸã¡ã
ãŸãLv.59ã¯æãŠãç¡ããªã; int3 & fact10 -> int4: ããã®ãã«ããLv.56ã¯æãŠãç¡ãããã©ããã¯æãæããªãããšããããšã¯ééãã ; int4 & fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬(¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact3: (¬{G}{e} & {H}{e}) -> ¬{F}{e} fact4: (x): ¬{F}x -> ({D}x v {C}x) fact5: ({C}{b} & ¬{A}{b}) -> ¬{D}{c} fact6: ¬{I}{a} fact7: (x): {B}x -> (¬{E}x & ¬{A}x) fact8: ¬{B}{b} -> ({C}{b} & ¬{A}{b}) fact9: ¬({D}{d} & ¬{F}{d}) -> {E}{e} fact10: ¬{D}{c} -> ¬({D}{d} & ¬{F}{d}) fact11: ¬{I}{a} -> (¬{G}{e} & {H}{e}) ; $hypothesis$ = {E}{e} ; $proof$ = | fact2 & fact1 -> int1: ¬{B}{b}; int1 & fact8 -> int2: ({C}{b} & ¬{A}{b}); int2 & fact5 -> int3: ¬{D}{c}; int3 & fact10 -> int4: ¬({D}{d} & ¬{F}{d}); int4 & fact9 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯ç®å®ãé£ããã©éããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({G}{b} & ¬{E}{b}) | fact1: ããããã¢ã³ã¹ã¿ãŒã¯çœããšããããšã¯ãªããŠããŸãã«æ ãããªã fact2: ããä»®ã«ãã®ãŽã¡ããŽãLv.63ãå
±æåºæ¥ãªããã©çœããšããããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯çœããšããããšã¯ãªã fact3: ããã®ãŽã¡ããŽãLv.63ã¯çœ¹ãæããã©ããã¯å
±æåºæ¥ããšããããšã¯ãªãããšããããšã¯åœã fact4: ä»®ã«ãã®ã¿ã«ãã¿ã«ã
Lv.52ãéããªããšããããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯ç®å®ãé£ãããããéããªã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çœããªã fact6: ããä»®ã«ããã®ãŽã¡ããŽãLv.63ã¯çœ¹ãæããªããããã¯å
±æåºæ¥ãªãããšããããšã¯èª€ã£ãŠããã°ãã®ã¿ã«ãã¿ã«ã
Lv.52ã¯éããªã fact7: ãã®ã¿ã®ã¿ãLv.10ã¯çœããªã | fact1: (x): (¬{A}x & ¬{B}x) fact2: (¬{C}{a} & {A}{a}) -> ¬{A}{b} fact3: ¬({D}{a} & ¬{C}{a}) fact4: ¬{E}{b} -> ({G}{b} & ¬{E}{b}) fact5: (x): ¬{A}x fact6: ¬(¬{D}{a} & ¬{C}{a}) -> ¬{E}{b} fact7: ¬{A}{aa} | [
"fact1 -> int1: ãã®ã¿ã®ã¿ãLv.10ã¯çœããªãããããããã¯æ ãããªã; int1 -> int2: ãã®ã¿ã®ã¿ãLv.10ã¯æ ãããªã;"
] | [
"fact1 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 -> int2: ¬{B}{aa};"
] | ããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯ç®å®ãé£ããã©éããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({G}{b} & ¬{E}{b}) | [] | 5 | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯çœããšããããšã¯ãªããŠããŸãã«æ ãããªã fact2: ããä»®ã«ãã®ãŽã¡ããŽãLv.63ãå
±æåºæ¥ãªããã©çœããšããããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯çœããšããããšã¯ãªã fact3: ããã®ãŽã¡ããŽãLv.63ã¯çœ¹ãæããã©ããã¯å
±æåºæ¥ããšããããšã¯ãªãããšããããšã¯åœã fact4: ä»®ã«ãã®ã¿ã«ãã¿ã«ã
Lv.52ãéããªããšããããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯ç®å®ãé£ãããããéããªã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çœããªã fact6: ããä»®ã«ããã®ãŽã¡ããŽãLv.63ã¯çœ¹ãæããªããããã¯å
±æåºæ¥ãªãããšããããšã¯èª€ã£ãŠããã°ãã®ã¿ã«ãã¿ã«ã
Lv.52ã¯éããªã fact7: ãã®ã¿ã®ã¿ãLv.10ã¯çœããªã ; $hypothesis$ = ããã®ã¿ã«ãã¿ã«ã
Lv.52ã¯ç®å®ãé£ããã©éããšããããšã¯ãªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): (¬{A}x & ¬{B}x) fact2: (¬{C}{a} & {A}{a}) -> ¬{A}{b} fact3: ¬({D}{a} & ¬{C}{a}) fact4: ¬{E}{b} -> ({G}{b} & ¬{E}{b}) fact5: (x): ¬{A}x fact6: ¬(¬{D}{a} & ¬{C}{a}) -> ¬{E}{b} fact7: ¬{A}{aa} ; $hypothesis$ = ¬({G}{b} & ¬{E}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã¡ããã¡ãLv.38ã¯åªããããšããããšã¯ãªã | ¬{E}{b} | fact1: ããä»®ã«ããã®ãã«ã
ããLv.15ã¯ãã£ãããã©æŽã¿é£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããªããã®ãã«ã
ããLv.15ã¯ããçã fact2: ãããã®ãã«ã
ããLv.15ã¯éæãæããšããããããããã£ããããã®äžæŽã¿é£ããªãããšããããšã¯åã fact3: ãã®ãã«ã
ããLv.15ã¯éæãæã fact4: ããããã®ãã¡ããã¡ãLv.38ãäžå
ææ¡åºæ¥ãããŸãèšå·åãããšããã°ããã¯åªããããªã fact5: ããã®ãã¡ããã¡ãLv.38ã¯èšå·åããããšããããšã¯æ£ãã | fact1: ¬({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact3: {A}{a} fact4: ({C}{b} & {D}{b}) -> ¬{E}{b} fact5: {D}{b} | [
"fact2 & fact3 -> int1: ããã®ãã«ã
ããLv.15ã¯ãã£ãããæŽã¿é£ããªãããšããããšã¯çå®ã ãšããããšã¯ãªã; int1 & fact1 -> int2: ãã®ãã«ã
ããLv.15ã¯ããçã;"
] | [
"fact2 & fact3 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact1 -> int2: {B}{a};"
] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ããã®ãã«ã
ããLv.15ã¯ãã£ãããã©æŽã¿é£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããªããã®ãã«ã
ããLv.15ã¯ããçã fact2: ãããã®ãã«ã
ããLv.15ã¯éæãæããšããããããããã£ããããã®äžæŽã¿é£ããªãããšããããšã¯åã fact3: ãã®ãã«ã
ããLv.15ã¯éæãæã fact4: ããããã®ãã¡ããã¡ãLv.38ãäžå
ææ¡åºæ¥ãããŸãèšå·åãããšããã°ããã¯åªããããªã fact5: ããã®ãã¡ããã¡ãLv.38ã¯èšå·åããããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ãã¡ããã¡ãLv.38ã¯åªããããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact3: {A}{a} fact4: ({C}{b} & {D}{b}) -> ¬{E}{b} fact5: {D}{b} ; $hypothesis$ = ¬{E}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«Lv.78ã¯æ¹å転æãããã©éããæããªã | ({B}{b} & ¬{C}{b}) | fact1: ããä»®ã«ãã®ãŸãªãŸã®Lv.87ã誀解ãæããªãã°ãã®ã¿ãã¿ã«Lv.78ã¯æ¹å転æããããã©èª€è§£ãæããªã fact2: ãã®ãŸãªãŸã®Lv.87ã¯èã
ãããªã fact3: ãããã®ãŸãªãŸã®Lv.87ãèã
ãããªããšããã°ãã®ãŸãªãŸã®Lv.87ã¯è¡šããåŸããå ããŠèª€è§£ãæã | fact1: {AB}{a} -> ({B}{b} & ¬{AB}{b}) fact2: ¬{A}{a} fact3: ¬{A}{a} -> ({AA}{a} & {AB}{a}) | [
"fact3 & fact2 -> int1: ãã®ãŸãªãŸã®Lv.87ã¯è¡šããåŸããæŽã«èª€è§£ãæã; int1 -> int2: ãã®ãŸãªãŸã®Lv.87ã¯èª€è§£ãæã; int2 & fact1 -> int3: ãã®ã¿ãã¿ã«Lv.78ã¯æ¹å転æããäžæ¹ã§ããã¯èª€è§£ãæããªã; int3 -> int4: ãã®ã¿ãã¿ã«Lv.78ã¯æ¹å転æãã;"
] | [
"fact3 & fact2 -> int1: ({AA}{a} & {AB}{a}); int1 -> int2: {AB}{a}; int2 & fact1 -> int3: ({B}{b} & ¬{AB}{b}); int3 -> int4: {B}{b};"
] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ãŸãªãŸã®Lv.87ã誀解ãæããªãã°ãã®ã¿ãã¿ã«Lv.78ã¯æ¹å転æããããã©èª€è§£ãæããªã fact2: ãã®ãŸãªãŸã®Lv.87ã¯èã
ãããªã fact3: ãããã®ãŸãªãŸã®Lv.87ãèã
ãããªããšããã°ãã®ãŸãªãŸã®Lv.87ã¯è¡šããåŸããå ããŠèª€è§£ãæã ; $hypothesis$ = ãã®ã¿ãã¿ã«Lv.78ã¯æ¹å転æãããã©éããæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AB}{a} -> ({B}{b} & ¬{AB}{b}) fact2: ¬{A}{a} fact3: ¬{A}{a} -> ({AA}{a} & {AB}{a}) ; $hypothesis$ = ({B}{b} & ¬{C}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã寿ããšãããšèããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã | ¬((Ex): {A}x -> ¬{C}x) | fact1: ãã®ãŸã¡ã
ãŸã®Lv.92ã寿ããšãããšãã®ãŸã¡ã
ãŸã®Lv.92ã¯èã fact2: ããã寿ããªãèããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããã¢ã³ã¹ã¿ãŒã寿ãã°èããªã fact4: ããããã¢ã³ã¹ã¿ãŒã寿ããšãããããã¯èã | fact1: {A}{aa} -> {C}{aa} fact2: (Ex): {A}x -> {C}x fact3: (x): {A}x -> ¬{C}x fact4: (x): {A}x -> {C}x | [
"fact3 -> int1: ä»®ã«ãã®ãŸã¡ã
ãŸã®Lv.92ã寿ããªãããã¯èããªã; int1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{aa} -> ¬{C}{aa}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸã¡ã
ãŸã®Lv.92ã寿ããšãããšãã®ãŸã¡ã
ãŸã®Lv.92ã¯èã fact2: ããã寿ããªãèããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããã¢ã³ã¹ã¿ãŒã寿ãã°èããªã fact4: ããããã¢ã³ã¹ã¿ãŒã寿ããšãããããã¯èã ; $hypothesis$ = ãããã寿ããšãããšèããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã ; $proof$ = | fact3 -> int1: ä»®ã«ãã®ãŸã¡ã
ãŸã®Lv.92ã寿ããªãããã¯èããªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> {C}{aa} fact2: (Ex): {A}x -> {C}x fact3: (x): {A}x -> ¬{C}x fact4: (x): {A}x -> {C}x ; $hypothesis$ = ¬((Ex): {A}x -> ¬{C}x) ; $proof$ = | fact3 -> int1: {A}{aa} -> ¬{C}{aa}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.28ã¯æ··å
¥ãæããšããããšã¯ãªããæ®çºãæãããããã¯äž¡æ¹ã§ãã | (¬{AA}{aa} v {AB}{aa}) | fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯èŠããšããã°ãæ··å
¥ãæããªãããããã¯ããã¯æ®çºãæãããããã¯ã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ãŸããŸãLv.28ã¯èŠã | fact1: (x): {A}x -> ¬(¬{AA}x v {AB}x) fact2: {A}{aa} | [
"fact1 -> int1: ä»®ã«ãã®ãŸããŸãLv.28ã¯èŠããšããã°ãããã¯æ··å
¥ãæããªãããããã¯æ®çºãæãããããã¯äž¡æ¹ã§ããããšããããšã¯åã ; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{aa} -> ¬(¬{AA}{aa} v {AB}{aa}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯èŠããšããã°ãæ··å
¥ãæããªãããããã¯ããã¯æ®çºãæãããããã¯ã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ãŸããŸãLv.28ã¯èŠã ; $hypothesis$ = ãã®ãŸããŸãLv.28ã¯æ··å
¥ãæããšããããšã¯ãªããæ®çºãæãããããã¯äž¡æ¹ã§ãã ; $proof$ = | fact1 -> int1: ä»®ã«ãã®ãŸããŸãLv.28ã¯èŠããšããã°ãããã¯æ··å
¥ãæããªãããããã¯æ®çºãæãããããã¯äž¡æ¹ã§ããããšããããšã¯åã ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> ¬(¬{AA}x v {AB}x) fact2: {A}{aa} ; $hypothesis$ = (¬{AA}{aa} v {AB}{aa}) ; $proof$ = | fact1 -> int1: {A}{aa} -> ¬(¬{AA}{aa} v {AB}{aa}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ããŽã«ã
Lv.87ã¯åŒ±ã
ãããªã | ¬{F}{c} | fact1: ãããã®ã·ãã·ãLv.97ãæå
ããªãäžæ¹ã§ç©ãé£ããšãããšãã®ãŽã¡ããŽã«ã
Lv.87ã¯åŒ±ã
ãããªã fact2: ãã®ã·ãã·ãLv.97ã¯ç©ãé£ã fact3: ããããã®ã·ãã·ãLv.97ãèæããªããšããã°ããã¯æå
ããšããããšã¯ãªã fact4: ãã®ãœããœãLv.89ã¯æãããªãããããæãŠãç¡ã fact5: ãã®ãã¡ãããLv.49ã¯æãŠãç¡ã fact6: ãã®ã·ãã·ãLv.97ãèæããªããšããã°ããã¯åŒ±ã
ãããªã fact7: ããã®ãã¡ãããLv.49ã¯èæããªãããšããããšã¯èª€ãã§ãªã fact8: ãã®ãã¡ãããLv.49ã¯æ¥èŸã fact9: ä»®ã«ãã®ãŽããŽãLv.13ãæãŠãç¡ããªããªãããã¯ç©ãé£ããããã«æ¥èŸã fact10: ãããã®ãã¡ãããLv.49ãæ¥èŸããæãŠãç¡ããšããã°ãã®ã·ãã·ãLv.97ã¯èæããªã | fact1: (¬{D}{b} & {E}{b}) -> ¬{F}{c} fact2: {E}{b} fact3: ¬{C}{b} -> ¬{D}{b} fact4: (¬{CL}{is} & {B}{is}) fact5: {B}{a} fact6: ¬{C}{b} -> ¬{F}{b} fact7: ¬{C}{a} fact8: {A}{a} fact9: ¬{B}{dk} -> ({E}{dk} & {A}{dk}) fact10: ({A}{a} & {B}{a}) -> ¬{C}{b} | [
"fact8 & fact5 -> int1: ãã®ãã¡ãããLv.49ã¯æ¥èŸããæãŠãç¡ã; int1 & fact10 -> int2: ãã®ã·ãã·ãLv.97ã¯èæããšããããšã¯ãªã; int2 & fact3 -> int3: ããã®ã·ãã·ãLv.97ã¯æå
ããªãããšããããšã¯æãç«ã€; int3 & fact2 -> int4: ãã®ã·ãã·ãLv.97ã¯æå
ããªãäžæ¹ã§ç©ãé£ã; int4 & fact1 -> hypothesis;"
] | [
"fact8 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact10 -> int2: ¬{C}{b}; int2 & fact3 -> int3: ¬{D}{b}; int3 & fact2 -> int4: (¬{D}{b} & {E}{b}); int4 & fact1 -> hypothesis;"
] | ãã®ãŽããŽãLv.13ã¯ç©ãé£ã | {E}{dk} | [] | 6 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ã·ãã·ãLv.97ãæå
ããªãäžæ¹ã§ç©ãé£ããšãããšãã®ãŽã¡ããŽã«ã
Lv.87ã¯åŒ±ã
ãããªã fact2: ãã®ã·ãã·ãLv.97ã¯ç©ãé£ã fact3: ããããã®ã·ãã·ãLv.97ãèæããªããšããã°ããã¯æå
ããšããããšã¯ãªã fact4: ãã®ãœããœãLv.89ã¯æãããªãããããæãŠãç¡ã fact5: ãã®ãã¡ãããLv.49ã¯æãŠãç¡ã fact6: ãã®ã·ãã·ãLv.97ãèæããªããšããã°ããã¯åŒ±ã
ãããªã fact7: ããã®ãã¡ãããLv.49ã¯èæããªãããšããããšã¯èª€ãã§ãªã fact8: ãã®ãã¡ãããLv.49ã¯æ¥èŸã fact9: ä»®ã«ãã®ãŽããŽãLv.13ãæãŠãç¡ããªããªãããã¯ç©ãé£ããããã«æ¥èŸã fact10: ãããã®ãã¡ãããLv.49ãæ¥èŸããæãŠãç¡ããšããã°ãã®ã·ãã·ãLv.97ã¯èæããªã ; $hypothesis$ = ãã®ãŽã¡ããŽã«ã
Lv.87ã¯åŒ±ã
ãããªã ; $proof$ = | fact8 & fact5 -> int1: ãã®ãã¡ãããLv.49ã¯æ¥èŸããæãŠãç¡ã; int1 & fact10 -> int2: ãã®ã·ãã·ãLv.97ã¯èæããšããããšã¯ãªã; int2 & fact3 -> int3: ããã®ã·ãã·ãLv.97ã¯æå
ããªãããšããããšã¯æãç«ã€; int3 & fact2 -> int4: ãã®ã·ãã·ãLv.97ã¯æå
ããªãäžæ¹ã§ç©ãé£ã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{D}{b} & {E}{b}) -> ¬{F}{c} fact2: {E}{b} fact3: ¬{C}{b} -> ¬{D}{b} fact4: (¬{CL}{is} & {B}{is}) fact5: {B}{a} fact6: ¬{C}{b} -> ¬{F}{b} fact7: ¬{C}{a} fact8: {A}{a} fact9: ¬{B}{dk} -> ({E}{dk} & {A}{dk}) fact10: ({A}{a} & {B}{a}) -> ¬{C}{b} ; $hypothesis$ = ¬{F}{c} ; $proof$ = | fact8 & fact5 -> int1: ({A}{a} & {B}{a}); int1 & fact10 -> int2: ¬{C}{b}; int2 & fact3 -> int3: ¬{D}{b}; int3 & fact2 -> int4: (¬{D}{b} & {E}{b}); int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸã«ãŸãLv.17ã¯æ£ããããªãããšããããšã¯äºå®ã | ¬{E}{b} | fact1: ããããã®ãŸã«ãŸãLv.17ãçãããšãããšãã®ãŸã«ãŸãLv.17ã¯æ£ããã fact2: çãã¢ã³ã¹ã¿ãŒã¯æ²¹ã£ãœã fact3: æ²¹ã£ãœãã¢ã³ã¹ã¿ãŒã¯æãããã fact4: ããæ²¹ã£ãœãããŸãã¯çãããããã¯äž¡æ¹ãšããªã¢ã³ã¹ã¿ãŒããããªããã®ãŸã«ãŸãLv.17ã¯çãã fact5: ãã®ãŽããŽã¡ãLv.20ã¯æ²¹ã£ãœããããã¯æãããã | fact1: {D}{b} -> {E}{b} fact2: (x): {C}x -> {A}x fact3: (x): {A}x -> {B}x fact4: (x): ({A}x v {C}x) -> {D}{b} fact5: ({A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ãŽããŽã¡ãLv.20ã¯æ²¹ã£ãœã; int1 -> int2: ããã®ãŽããŽã¡ãLv.20ã¯æ²¹ã£ãœãããããã¯ããã¯çãããšããããšã¯æ£ãã; int2 -> int3: æ²¹ã£ãœããçãããããã¯äž¡æ¹ãšããªã¢ã³ã¹ã¿ãŒã¯ãã; int3 & fact4 -> int4: ããã®ãŸã«ãŸãLv.17ã¯çãããªãããšããããšã¯ééã£ãŠãã; int4 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; int1 -> int2: ({A}{a} v {C}{a}); int2 -> int3: (Ex): ({A}x v {C}x); int3 & fact4 -> int4: {D}{b}; int4 & fact1 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.63ã¯æãããã | {B}{an} | [
"fact7 -> int5: ãããã®ã¿ãã¿ãLv.63ãçããªãã°ããã¯æ²¹ã£ãœã; fact6 -> int6: ããããã®ã¿ãã¿ãLv.63ãæ²¹ã£ãœããšããããã®ã¿ãã¿ãLv.63ã¯æãããã;"
] | 7 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸã«ãŸãLv.17ãçãããšãããšãã®ãŸã«ãŸãLv.17ã¯æ£ããã fact2: çãã¢ã³ã¹ã¿ãŒã¯æ²¹ã£ãœã fact3: æ²¹ã£ãœãã¢ã³ã¹ã¿ãŒã¯æãããã fact4: ããæ²¹ã£ãœãããŸãã¯çãããããã¯äž¡æ¹ãšããªã¢ã³ã¹ã¿ãŒããããªããã®ãŸã«ãŸãLv.17ã¯çãã fact5: ãã®ãŽããŽã¡ãLv.20ã¯æ²¹ã£ãœããããã¯æãããã ; $hypothesis$ = ããã®ãŸã«ãŸãLv.17ã¯æ£ããããªãããšããããšã¯äºå®ã ; $proof$ = | fact5 -> int1: ãã®ãŽããŽã¡ãLv.20ã¯æ²¹ã£ãœã; int1 -> int2: ããã®ãŽããŽã¡ãLv.20ã¯æ²¹ã£ãœãããããã¯ããã¯çãããšããããšã¯æ£ãã; int2 -> int3: æ²¹ã£ãœããçãããããã¯äž¡æ¹ãšããªã¢ã³ã¹ã¿ãŒã¯ãã; int3 & fact4 -> int4: ããã®ãŸã«ãŸãLv.17ã¯çãããªãããšããããšã¯ééã£ãŠãã; int4 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{b} -> {E}{b} fact2: (x): {C}x -> {A}x fact3: (x): {A}x -> {B}x fact4: (x): ({A}x v {C}x) -> {D}{b} fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{E}{b} ; $proof$ = | fact5 -> int1: {A}{a}; int1 -> int2: ({A}{a} v {C}{a}); int2 -> int3: (Ex): ({A}x v {C}x); int3 & fact4 -> int4: {D}{b}; int4 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã©ã³ãããããšããããšãèµ·ãã | {A} | fact1: 瀌åæ£ãããšããããšãèµ·ãã fact2: ãã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯èµ·ããªãããŽããŽã¡ãLv.41äºä»¶ãèµ·ããããšããããšã¯ç€Œåæ£ãããšããããšãé²ã fact3: ããããã©ã³ãããããšããããšããã³ç€Œåæ£ãããšããããšãèµ·ãããšããããŽããŽã¡ãLv.41äºä»¶ã¯çºçããªã fact4: ããŽããŽã¡ãLv.41äºä»¶ãèµ·ããããšããããšã¯æ¬åœã§ãã fact5: æµ®ãæããšããããšã¯èµ·ããªããšããããšã¯ãçãããšããããšãèµ·ãããã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯çºçããªãããšããããšã®ãã£ãããšãªã fact6: ãããã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯çããªããšããã°ã瀌åæ£ãããšããããšã¯çºçããããŽããŽã¡ãLv.41äºä»¶ã¯çºçããªãããšããããšã¯èª€ã£ãŠãã fact7: ãã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯çºçããªãããã©ãŽããŽã¡ãLv.41äºä»¶ãçããããšããããšã¯çãããšããããšã¯çããªããšããããšããã£ããã | fact1: {B} fact2: (¬{D} & {C}) -> ¬{B} fact3: ({A} & {B}) -> ¬{C} fact4: {C} fact5: ¬{F} -> ({E} & ¬{D}) fact6: ¬{D} -> ¬({B} & ¬{C}) fact7: ¬{E} -> (¬{D} & {C}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã©ã³ãããããšããããšãèµ·ãã; assump1 & fact1 -> int1: ãã©ã³ãããããšããããšãšç€Œåæ£ãããšããããšäž¡æ¹ãçºçãã; int1 & fact3 -> int2: ãŽããŽã¡ãLv.41äºä»¶ã¯èµ·ãããªã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã©ã³ãããããšããããšãèµ·ãã | {A} | [] | 7 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 瀌åæ£ãããšããããšãèµ·ãã fact2: ãã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯èµ·ããªãããŽããŽã¡ãLv.41äºä»¶ãèµ·ããããšããããšã¯ç€Œåæ£ãããšããããšãé²ã fact3: ããããã©ã³ãããããšããããšããã³ç€Œåæ£ãããšããããšãèµ·ãããšããããŽããŽã¡ãLv.41äºä»¶ã¯çºçããªã fact4: ããŽããŽã¡ãLv.41äºä»¶ãèµ·ããããšããããšã¯æ¬åœã§ãã fact5: æµ®ãæããšããããšã¯èµ·ããªããšããããšã¯ãçãããšããããšãèµ·ãããã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯çºçããªãããšããããšã®ãã£ãããšãªã fact6: ãããã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯çããªããšããã°ã瀌åæ£ãããšããããšã¯çºçããããŽããŽã¡ãLv.41äºä»¶ã¯çºçããªãããšããããšã¯èª€ã£ãŠãã fact7: ãã¿ã¡ãã¿ã«ãLv.72äºä»¶ã¯çºçããªãããã©ãŽããŽã¡ãLv.41äºä»¶ãçããããšããããšã¯çãããšããããšã¯çããªããšããããšããã£ããã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã©ã³ãããããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã©ã³ãããããšããããšãèµ·ãã; assump1 & fact1 -> int1: ãã©ã³ãããããšããããšãšç€Œåæ£ãããšããããšäž¡æ¹ãçºçãã; int1 & fact3 -> int2: ãŽããŽã¡ãLv.41äºä»¶ã¯èµ·ãããªã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: (¬{D} & {C}) -> ¬{B} fact3: ({A} & {B}) -> ¬{C} fact4: {C} fact5: ¬{F} -> ({E} & ¬{D}) fact6: ¬{D} -> ¬({B} & ¬{C}) fact7: ¬{E} -> (¬{D} & {C}) ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšããªã | ¬{A}{c} | fact1: ããããã®ãŽã«ããŽãLv.2ã¯åŸ¡è³ç«ãŠããªããŠãã®äžããŠãè¯ããªãããšããããšã¯äºå®ã§ãªããšããããã®ãœã«ã
ãœãLv.73ã¯ããŠãè¯ã fact2: ããã®ãŽã«ãŽãLv.74ã¯ããæãããããã¯ããã¯åãæããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªããšããã°ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšãã fact3: ä»®ã«ãã®ãœã«ã
ãœãLv.73ãããŠãè¯ããªãã°ãã®ãŽã«ãŽãLv.74ã¯æèšãã fact4: ããä»®ã«ãã®ãŽã«ãŽãLv.74ãæèšããããã€çã延ã³ããšããã°ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšããªã fact5: ããã®ãŽã«ããŽãLv.2ã¯åŸ¡è³ç«ãŠããªããŠæŽã«ããŠãè¯ããšããããšã¯ãªãããšããããšã¯åã fact6: ããã®ãœã«ã
ãœãLv.73ã¯çã延ã³ãããšããããšã¯æãç«ã€ | fact1: ¬(¬{D}{e} & ¬{C}{e}) -> {C}{b} fact2: ¬({AA}{a} v ¬{AB}{a}) -> {A}{c} fact3: {C}{b} -> {A}{a} fact4: ({A}{a} & {B}{a}) -> ¬{A}{c} fact5: ¬(¬{D}{e} & ¬{C}{e}) fact6: {B}{b} | [] | [] | ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšããªã | ¬{A}{c} | [
"fact7 & fact9 -> int1: ããã®ãœã«ã
ãœãLv.73ã¯ããŠãè¯ãããšããããšã¯æ¬åœã§ãã; fact10 & int1 -> int2: ãã®ãŽã«ãŽãLv.74ã¯æèšãã;"
] | 7 | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŽã«ããŽãLv.2ã¯åŸ¡è³ç«ãŠããªããŠãã®äžããŠãè¯ããªãããšããããšã¯äºå®ã§ãªããšããããã®ãœã«ã
ãœãLv.73ã¯ããŠãè¯ã fact2: ããã®ãŽã«ãŽãLv.74ã¯ããæãããããã¯ããã¯åãæããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªããšããã°ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšãã fact3: ä»®ã«ãã®ãœã«ã
ãœãLv.73ãããŠãè¯ããªãã°ãã®ãŽã«ãŽãLv.74ã¯æèšãã fact4: ããä»®ã«ãã®ãŽã«ãŽãLv.74ãæèšããããã€çã延ã³ããšããã°ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšããªã fact5: ããã®ãŽã«ããŽãLv.2ã¯åŸ¡è³ç«ãŠããªããŠæŽã«ããŠãè¯ããšããããšã¯ãªãããšããããšã¯åã fact6: ããã®ãœã«ã
ãœãLv.73ã¯çã延ã³ãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ã·ãã·ã¡ã
Lv.55ã¯æèšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{D}{e} & ¬{C}{e}) -> {C}{b} fact2: ¬({AA}{a} v ¬{AB}{a}) -> {A}{c} fact3: {C}{b} -> {A}{a} fact4: ({A}{a} & {B}{a}) -> ¬{A}{c} fact5: ¬(¬{D}{e} & ¬{C}{e}) fact6: {B}{b} ; $hypothesis$ = ¬{A}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.58ã¯æ»ãæããªãããããèµ€é»ã | (¬{F}{b} & {G}{b}) | fact1: ä»®ã«ãã®ãŽããŽãLv.58ãèšå¿µããªããšããã°ãã®ãŽããŽãLv.58ã¯æ»ãæããªãããããããã¯èµ€é»ã fact2: ãã®ãã«ã
ããLv.16ã¯ç·©ã fact3: ä»®ã«ããã®ãã«ã
ããLv.16ã¯å¹Œãããããã¯ããã¯æãããã©ã¡ããã§ããããšããããšã¯æ£ãããšããããã®ãŽããŽãLv.58ã¯èšå¿µããªã fact4: ãã®ãŽããŽãLv.58ã¯æ»ãæããªã fact5: ãã®ãã«ã
ããLv.16ãæå°æªããªããã®ãã«ã
ããLv.16ã¯æãã fact6: ãã®ãã«ã
ããLv.16ã幌ããªãã°ãã®ãŽããŽãLv.58ã¯èšå¿µããªã fact7: ããã®ãã«ã
ããLv.16ã¯å¹Œããªãäžæ¹ã§èšå¿µããããšããããšã¯æ£ãã fact8: ãã®ãã«ã
ããLv.16ã¯ç·©ããããŸãã«æå°æªã fact9: ããä»®ã«ãã®ãŽããŽãLv.58ã¯èšå¿µããªããªãã°ãæ»ãæããšããããšã¯ãªãããšããããšã¯æãç«ã€ | fact1: ¬{E}{b} -> (¬{F}{b} & {G}{b}) fact2: {A}{a} fact3: ({D}{a} v {C}{a}) -> ¬{E}{b} fact4: ¬{F}{b} fact5: {B}{a} -> {C}{a} fact6: {D}{a} -> ¬{E}{b} fact7: (¬{D}{a} & {E}{a}) fact8: ({A}{a} & {B}{a}) fact9: ¬{E}{b} -> ¬{F}{b} | [
"fact8 -> int1: ããã®ãã«ã
ããLv.16ã¯æå°æªãããšããããšã¯äºå®ã§ãã; int1 & fact5 -> int2: ãã®ãã«ã
ããLv.16ã¯æãã; int2 -> int3: ããã®ãã«ã
ããLv.16ã¯å¹ŒãããŸãã¯ããã¯æããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ã€; int3 & fact3 -> int4: ãã®ãŽããŽãLv.58ã¯èšå¿µããªã; int4 & fact1 -> hypothesis;"
] | [
"fact8 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 -> int3: ({D}{a} v {C}{a}); int3 & fact3 -> int4: ¬{E}{b}; int4 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ãŽããŽãLv.58ãèšå¿µããªããšããã°ãã®ãŽããŽãLv.58ã¯æ»ãæããªãããããããã¯èµ€é»ã fact2: ãã®ãã«ã
ããLv.16ã¯ç·©ã fact3: ä»®ã«ããã®ãã«ã
ããLv.16ã¯å¹Œãããããã¯ããã¯æãããã©ã¡ããã§ããããšããããšã¯æ£ãããšããããã®ãŽããŽãLv.58ã¯èšå¿µããªã fact4: ãã®ãŽããŽãLv.58ã¯æ»ãæããªã fact5: ãã®ãã«ã
ããLv.16ãæå°æªããªããã®ãã«ã
ããLv.16ã¯æãã fact6: ãã®ãã«ã
ããLv.16ã幌ããªãã°ãã®ãŽããŽãLv.58ã¯èšå¿µããªã fact7: ããã®ãã«ã
ããLv.16ã¯å¹Œããªãäžæ¹ã§èšå¿µããããšããããšã¯æ£ãã fact8: ãã®ãã«ã
ããLv.16ã¯ç·©ããããŸãã«æå°æªã fact9: ããä»®ã«ãã®ãŽããŽãLv.58ã¯èšå¿µããªããªãã°ãæ»ãæããšããããšã¯ãªãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ãŽããŽãLv.58ã¯æ»ãæããªãããããèµ€é»ã ; $proof$ = | fact8 -> int1: ããã®ãã«ã
ããLv.16ã¯æå°æªãããšããããšã¯äºå®ã§ãã; int1 & fact5 -> int2: ãã®ãã«ã
ããLv.16ã¯æãã; int2 -> int3: ããã®ãã«ã
ããLv.16ã¯å¹ŒãããŸãã¯ããã¯æããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ã€; int3 & fact3 -> int4: ãã®ãŽããŽãLv.58ã¯èšå¿µããªã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E}{b} -> (¬{F}{b} & {G}{b}) fact2: {A}{a} fact3: ({D}{a} v {C}{a}) -> ¬{E}{b} fact4: ¬{F}{b} fact5: {B}{a} -> {C}{a} fact6: {D}{a} -> ¬{E}{b} fact7: (¬{D}{a} & {E}{a}) fact8: ({A}{a} & {B}{a}) fact9: ¬{E}{b} -> ¬{F}{b} ; $hypothesis$ = (¬{F}{b} & {G}{b}) ; $proof$ = | fact8 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 -> int3: ({D}{a} v {C}{a}); int3 & fact3 -> int4: ¬{E}{b}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãä»®ã«ãã®ãŽããŽãªLv.63ã¯åããªããšãããããã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ãããŸãã¯çžè«ãæãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠããããšããããšã¯èª€ãã | ¬(¬{A}{a} -> ¬({B}{b} v {C}{b})) | fact1: ãã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããšããããšã¯ãªããšãããšãã¿ã¿ã£ã¡ããçžè«ãæãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact2: ä»®ã«ãã®ãŽããŽãªLv.63ãåããªããªãã°ãã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããªã | fact1: ¬{B}{b} -> ¬({B}{b} v {C}{b}) fact2: ¬{A}{a} -> ¬{B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãªLv.63ã¯åããªã; fact2 & assump1 -> int1: ãã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããšããããšã¯ãªã; int1 & fact1 -> int2: ããã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããããã¯çžè«ãæãããããã¯äž¡æ¹ã ããšããããšã¯åœã ; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact2 & assump1 -> int1: ¬{B}{b}; int1 & fact1 -> int2: ¬({B}{b} v {C}{b}); [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããšããããšã¯ãªããšãããšãã¿ã¿ã£ã¡ããçžè«ãæãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact2: ä»®ã«ãã®ãŽããŽãªLv.63ãåããªããªãã°ãã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããªã ; $hypothesis$ = ãä»®ã«ãã®ãŽããŽãªLv.63ã¯åããªããšãããããã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ãããŸãã¯çžè«ãæãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠããããšããããšã¯èª€ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãªLv.63ã¯åããªã; fact2 & assump1 -> int1: ãã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããšããããšã¯ãªã; int1 & fact1 -> int2: ããã®ãŸããŸã«ã
Lv.86ã¯ã¿ã¿ã£ã¡ããããã¯çžè«ãæãããããã¯äž¡æ¹ã ããšããããšã¯åœã ; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{b} -> ¬({B}{b} v {C}{b}) fact2: ¬{A}{a} -> ¬{B}{b} ; $hypothesis$ = ¬(¬{A}{a} -> ¬({B}{b} v {C}{b})) ; $proof$ = | void -> assump1: ¬{A}{a}; fact2 & assump1 -> int1: ¬{B}{b}; int1 & fact1 -> int2: ¬({B}{b} v {C}{b}); [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ãããLv.89ã¯çãããªã | ¬{G}{c} | fact1: ãã®ãã«ãããLv.89ã¯ç
ã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯æ鳎ãæ£ãããšããã°ãèšãåºãé£ããéžãåºããªãããšããããšã¯åã ããšããããšã¯æãç«ã€ fact3: ãããããã®ãã«ããLv.33ã¯çããããšããããšã¯æ¬åœãªãã°ãã®ãã«ãããLv.89ã¯çãããšããããšã¯ãªã fact4: æ
ããããšããããšã¯ãªãããããã¯åãæããšããããšã¯ãªãããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯æ
ããããªã fact5: ããããã®ãã«ãããLv.89ãããšããããªããã©ç
ããšããããããã¯çããããšããããšã¯æ¬åœã§ãã fact6: ããä»®ã«ãã®ãã«ããLv.33ã¯æ
ããããšãããšããã®ãŽããŽãLv.77ã¯å³ãé£ããããã«åãæãããšããããšã¯èª€ã£ãŠãã fact7: ããããã®ãŽããŽãLv.77ã¯å³ãé£ãããã©åãæããªãããšããããšã¯åœã ãšããã°ãã®ãã«ãããLv.89ã¯ããšããããšããããšã¯ãªã fact8: ä»®ã«ããã®ãã«ããLv.33ã¯æ
ãããããšããããšã¯æ¬åœã§ãããšããã°ããã®ãŽããŽãLv.77ã¯å³ãé£ãããã©åãæããªãããšããããšã¯äºå®ãšç°ãªã fact9: ãã®ãã«ããLv.33ã¯æ鳎ãæ£ãããããã¯æ
ããã fact10: ãã®ãã«ããLv.33ãæ
ããããªããªããã®ãã«ããLv.33ã¯çãããæ鳎ãæ£ãã | fact1: {F}{c} fact2: (x): {A}x -> ¬({ED}x & ¬{IF}x) fact3: {G}{a} -> ¬{G}{c} fact4: (x): (¬{B}x v ¬{C}x) -> ¬{B}x fact5: (¬{E}{c} & {F}{c}) -> {G}{c} fact6: {B}{a} -> ¬({D}{b} & {C}{b}) fact7: ¬({D}{b} & ¬{C}{b}) -> ¬{E}{c} fact8: {B}{a} -> ¬({D}{b} & ¬{C}{b}) fact9: ({A}{a} & {B}{a}) fact10: ¬{B}{a} -> ({G}{a} & {A}{a}) | [
"fact9 -> int1: ãã®ãã«ããLv.33ã¯æ
ããã; int1 & fact8 -> int2: ããã®ãŽããŽãLv.77ã¯å³ãé£ããåãæããªãããšããããšã¯åœã§ãã; int2 & fact7 -> int3: ããã®ãã«ãããLv.89ã¯ããšããããªãããšããããšã¯çå®ã ; int3 & fact1 -> int4: ãã®ãã«ãããLv.89ã¯ããšããããšããããšã¯ãªãäžæ¹ã§ç
ã; int4 & fact5 -> hypothesis;"
] | [
"fact9 -> int1: {B}{a}; int1 & fact8 -> int2: ¬({D}{b} & ¬{C}{b}); int2 & fact7 -> int3: ¬{E}{c}; int3 & fact1 -> int4: (¬{E}{c} & {F}{c}); int4 & fact5 -> hypothesis;"
] | ããã®ãã«ããLv.33ã¯èšãåºãé£ããéžãåºããªãããšããããšã¯ééã£ãŠãã | ¬({ED}{a} & ¬{IF}{a}) | [
"fact11 -> int5: ãããã®ãã«ããLv.33ã¯æ鳎ãæ£ãããšãããããã®ãã«ããLv.33ã¯èšãåºãé£ãããããéžãåºããªãããšããããšã¯æãç«ããªã;"
] | 4 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãã«ãããLv.89ã¯ç
ã fact2: ããããšããã¢ã³ã¹ã¿ãŒã¯æ鳎ãæ£ãããšããã°ãèšãåºãé£ããéžãåºããªãããšããããšã¯åã ããšããããšã¯æãç«ã€ fact3: ãããããã®ãã«ããLv.33ã¯çããããšããããšã¯æ¬åœãªãã°ãã®ãã«ãããLv.89ã¯çãããšããããšã¯ãªã fact4: æ
ããããšããããšã¯ãªãããããã¯åãæããšããããšã¯ãªãããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯æ
ããããªã fact5: ããããã®ãã«ãããLv.89ãããšããããªããã©ç
ããšããããããã¯çããããšããããšã¯æ¬åœã§ãã fact6: ããä»®ã«ãã®ãã«ããLv.33ã¯æ
ããããšãããšããã®ãŽããŽãLv.77ã¯å³ãé£ããããã«åãæãããšããããšã¯èª€ã£ãŠãã fact7: ããããã®ãŽããŽãLv.77ã¯å³ãé£ãããã©åãæããªãããšããããšã¯åœã ãšããã°ãã®ãã«ãããLv.89ã¯ããšããããšããããšã¯ãªã fact8: ä»®ã«ããã®ãã«ããLv.33ã¯æ
ãããããšããããšã¯æ¬åœã§ãããšããã°ããã®ãŽããŽãLv.77ã¯å³ãé£ãããã©åãæããªãããšããããšã¯äºå®ãšç°ãªã fact9: ãã®ãã«ããLv.33ã¯æ鳎ãæ£ãããããã¯æ
ããã fact10: ãã®ãã«ããLv.33ãæ
ããããªããªããã®ãã«ããLv.33ã¯çãããæ鳎ãæ£ãã ; $hypothesis$ = ãã®ãã«ãããLv.89ã¯çãããªã ; $proof$ = | fact9 -> int1: ãã®ãã«ããLv.33ã¯æ
ããã; int1 & fact8 -> int2: ããã®ãŽããŽãLv.77ã¯å³ãé£ããåãæããªãããšããããšã¯åœã§ãã; int2 & fact7 -> int3: ããã®ãã«ãããLv.89ã¯ããšããããªãããšããããšã¯çå®ã ; int3 & fact1 -> int4: ãã®ãã«ãããLv.89ã¯ããšããããšããããšã¯ãªãäžæ¹ã§ç
ã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F}{c} fact2: (x): {A}x -> ¬({ED}x & ¬{IF}x) fact3: {G}{a} -> ¬{G}{c} fact4: (x): (¬{B}x v ¬{C}x) -> ¬{B}x fact5: (¬{E}{c} & {F}{c}) -> {G}{c} fact6: {B}{a} -> ¬({D}{b} & {C}{b}) fact7: ¬({D}{b} & ¬{C}{b}) -> ¬{E}{c} fact8: {B}{a} -> ¬({D}{b} & ¬{C}{b}) fact9: ({A}{a} & {B}{a}) fact10: ¬{B}{a} -> ({G}{a} & {A}{a}) ; $hypothesis$ = ¬{G}{c} ; $proof$ = | fact9 -> int1: {B}{a}; int1 & fact8 -> int2: ¬({D}{b} & ¬{C}{b}); int2 & fact7 -> int3: ¬{E}{c}; int3 & fact1 -> int4: (¬{E}{c} & {F}{c}); int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.93ã¯è¡ããæã | {G}{b} | fact1: ããããã®ãŽããŽãLv.93ã¯å¯å°åºæ¥ããšããããšã¯ãªãããšããããšã¯çå®ã ãšããã°ãã®ãŽããŽãLv.93ã¯å±éãæããªãããŸãã¯ããã¯è¡šçŸãé£ããªããäž¡æ¹ãšãã fact2: ãã®ã¿ãã¿ãLv.37ã¯ãããŒã fact3: ãã®ã¿ãã¿ãLv.37ã¯æ¥çºé²ãã fact4: ããä»®ã«ãã®ãŽããŽãLv.93ãçŽãããããšãããšããã¯è¡ããæã fact5: ããããã®ãŽããŽãLv.93ã¯å±éãæããªããè¡šçŸãé£ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ãããªãçŽãããã fact6: ããä»®ã«ãã®ã¿ãã¿ãLv.37ãæ¥çºé²ãããããã«ãããŒããšããããã®ãŽããŽãLv.93ã¯å¯å°åºæ¥ãªã fact7: ãããŒããªãã¢ã³ã¹ã¿ãŒã¯çŽãããããŠæ¥çºé²ãã | fact1: ¬{C}{b} -> (¬{D}{b} v ¬{E}{b}) fact2: {B}{a} fact3: {A}{a} fact4: {F}{b} -> {G}{b} fact5: (¬{D}{b} v ¬{E}{b}) -> {F}{b} fact6: ({A}{a} & {B}{a}) -> ¬{C}{b} fact7: (x): ¬{B}x -> ({F}x & {A}x) | [
"fact3 & fact2 -> int1: ãã®ã¿ãã¿ãLv.37ã¯æ¥çºé²ãããããŸãã«ãããŒã; int1 & fact6 -> int2: ãã®ãŽããŽãLv.93ã¯å¯å°åºæ¥ãªã; int2 & fact1 -> int3: ãã®ãŽããŽãLv.93ã¯å±éãæããšããããšã¯ãªããè¡šçŸãé£ããªãããããã¯ã©ã¡ããã§ãã; int3 & fact5 -> int4: ããã®ãŽããŽãLv.93ã¯çŽããããããšããããšã¯æãç«ã€; int4 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact6 -> int2: ¬{C}{b}; int2 & fact1 -> int3: (¬{D}{b} v ¬{E}{b}); int3 & fact5 -> int4: {F}{b}; int4 & fact4 -> hypothesis;"
] | ãã®ã·ã¡ã
ã·ãLv.38ã¯çŽãããã | {F}{it} | [
"fact8 -> int5: ããä»®ã«ããã®ã·ã¡ã
ã·ãLv.38ã¯ãããŒããªãããšããããšã¯æãç«ã€ãªããã®ã·ã¡ã
ã·ãLv.38ã¯çŽãããããããã«æ¥çºé²ãã;"
] | 4 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŽããŽãLv.93ã¯å¯å°åºæ¥ããšããããšã¯ãªãããšããããšã¯çå®ã ãšããã°ãã®ãŽããŽãLv.93ã¯å±éãæããªãããŸãã¯ããã¯è¡šçŸãé£ããªããäž¡æ¹ãšãã fact2: ãã®ã¿ãã¿ãLv.37ã¯ãããŒã fact3: ãã®ã¿ãã¿ãLv.37ã¯æ¥çºé²ãã fact4: ããä»®ã«ãã®ãŽããŽãLv.93ãçŽãããããšãããšããã¯è¡ããæã fact5: ããããã®ãŽããŽãLv.93ã¯å±éãæããªããè¡šçŸãé£ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ãããªãçŽãããã fact6: ããä»®ã«ãã®ã¿ãã¿ãLv.37ãæ¥çºé²ãããããã«ãããŒããšããããã®ãŽããŽãLv.93ã¯å¯å°åºæ¥ãªã fact7: ãããŒããªãã¢ã³ã¹ã¿ãŒã¯çŽãããããŠæ¥çºé²ãã ; $hypothesis$ = ãã®ãŽããŽãLv.93ã¯è¡ããæã ; $proof$ = | fact3 & fact2 -> int1: ãã®ã¿ãã¿ãLv.37ã¯æ¥çºé²ãããããŸãã«ãããŒã; int1 & fact6 -> int2: ãã®ãŽããŽãLv.93ã¯å¯å°åºæ¥ãªã; int2 & fact1 -> int3: ãã®ãŽããŽãLv.93ã¯å±éãæããšããããšã¯ãªããè¡šçŸãé£ããªãããããã¯ã©ã¡ããã§ãã; int3 & fact5 -> int4: ããã®ãŽããŽãLv.93ã¯çŽããããããšããããšã¯æãç«ã€; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{b} -> (¬{D}{b} v ¬{E}{b}) fact2: {B}{a} fact3: {A}{a} fact4: {F}{b} -> {G}{b} fact5: (¬{D}{b} v ¬{E}{b}) -> {F}{b} fact6: ({A}{a} & {B}{a}) -> ¬{C}{b} fact7: (x): ¬{B}x -> ({F}x & {A}x) ; $hypothesis$ = {G}{b} ; $proof$ = | fact3 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact6 -> int2: ¬{C}{b}; int2 & fact1 -> int3: (¬{D}{b} v ¬{E}{b}); int3 & fact5 -> int4: {F}{b}; int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããŸããŸã¡ãLv.64äºä»¶ãçãã | {B} | fact1: åºåžããããšãçºçãã fact2: çãããšããããšãèµ·ãã fact3: èãæ·±ããšããããšãèµ·ãã fact4: ãããã«ã
Lv.33äºä»¶ã¯èµ·ããªã fact5: é¢åããããšãçºçãã | fact1: {C} fact2: {ER} fact3: {FF} fact4: ¬{CK} fact5: {A} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŸããŸã¡ãLv.64äºä»¶ãçãã; fact5 & assump1 -> int1: é¢åããããšãèµ·ããããŸããŸããŸã¡ãLv.64äºä»¶ãèµ·ãã;"
] | [
"void -> assump1: {B}; fact5 & assump1 -> int1: ({A} & {B});"
] | null | null | [] | null | 5 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: åºåžããããšãçºçãã fact2: çãããšããããšãèµ·ãã fact3: èãæ·±ããšããããšãèµ·ãã fact4: ãããã«ã
Lv.33äºä»¶ã¯èµ·ããªã fact5: é¢åããããšãçºçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããŸããŸã¡ãLv.64äºä»¶ãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} fact2: {ER} fact3: {FF} fact4: ¬{CK} fact5: {A} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | åãããšã¯çºçããªã | ¬{D} | fact1: ã·ã«ãã·ãLv.80äºä»¶ã¯ãæãããããšããããšãèµ·ãããæŽã«ä»°ã
ãããšããããšãçããããšããããšã«é»ãŸãã fact2: ãå¥é¢ãé£ããšããããšã¯çºçãããã·ãã·ã«ãLv.17äºä»¶ã¯çããªãããšããããšã¯ãè€ééããããšãèµ·ããããšããããšãé»æ¢ãã fact3: æãããããšããããšãçºçãããä»°ã
ãããšããããšã¯çºçããªããªãã·ã«ãã·ãLv.80äºä»¶ã¯èµ·ããªã fact4: åãããšãçºçããªããšããããšã¯ãŽã¡ã
ãŽã®Lv.13äºä»¶ã¯åå ã§ãã fact5: ãçšé ããšããããšã¯èµ·ãããªãããšããããšã¯ãã·ã«ãã·ãLv.80äºä»¶ã¯çããªãããšããããšã«é»ãŸãã fact6: ãåãããšã¯çããªãããšããããšã¯ãçšé ããšããããšããããã¯ãŽã¡ã
ãŽã®Lv.13äºä»¶ãçºçããããšããããšããã£ããã§ãã fact7: ä»°ã
ãããšããããšã¯èµ·ãããªã | fact1: ({E} & {F}) -> ¬{A} fact2: ({Q} & ¬{BJ}) -> ¬{BA} fact3: ({E} & ¬{F}) -> ¬{A} fact4: {C} -> ¬{D} fact5: ¬{A} -> {B} fact6: ({B} v {C}) -> ¬{D} fact7: ¬{F} | [] | [] | null | null | [] | null | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã·ã«ãã·ãLv.80äºä»¶ã¯ãæãããããšããããšãèµ·ãããæŽã«ä»°ã
ãããšããããšãçããããšããããšã«é»ãŸãã fact2: ãå¥é¢ãé£ããšããããšã¯çºçãããã·ãã·ã«ãLv.17äºä»¶ã¯çããªãããšããããšã¯ãè€ééããããšãèµ·ããããšããããšãé»æ¢ãã fact3: æãããããšããããšãçºçãããä»°ã
ãããšããããšã¯çºçããªããªãã·ã«ãã·ãLv.80äºä»¶ã¯èµ·ããªã fact4: åãããšãçºçããªããšããããšã¯ãŽã¡ã
ãŽã®Lv.13äºä»¶ã¯åå ã§ãã fact5: ãçšé ããšããããšã¯èµ·ãããªãããšããããšã¯ãã·ã«ãã·ãLv.80äºä»¶ã¯çããªãããšããããšã«é»ãŸãã fact6: ãåãããšã¯çããªãããšããããšã¯ãçšé ããšããããšããããã¯ãŽã¡ã
ãŽã®Lv.13äºä»¶ãçºçããããšããããšããã£ããã§ãã fact7: ä»°ã
ãããšããããšã¯èµ·ãããªã ; $hypothesis$ = åãããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({E} & {F}) -> ¬{A} fact2: ({Q} & ¬{BJ}) -> ¬{BA} fact3: ({E} & ¬{F}) -> ¬{A} fact4: {C} -> ¬{D} fact5: ¬{A} -> {B} fact6: ({B} v {C}) -> ¬{D} fact7: ¬{F} ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.55ã¯å€ªããªã | ¬{E}{a} | fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒããããããããªããšãããããã¯å±éãæããªããŠãã€éŠ³èµ°ãã fact2: ä»®ã«å±éãæããªãã¢ã³ã¹ã¿ãŒã銳走ãããšããã°ããã¯é§ãåããªã fact3: ãã®ãã«ãããªLv.19ãé§ãåãã°ãã®ããããLv.55ã¯é§ãåããšããããšã¯ãªããããã銳走ãã fact4: ãããã®ãã«ãããªLv.19ãè¡ããªãã°é§ãåã fact5: ãããéãé£ãã¢ã³ã¹ã¿ãŒãè¡ããªããšãããããã¯å€ªããªã fact6: ãããä»®ã«ãã®ããããLv.18ã¯åŒ·è«ããšããã°ãããã®ããããLv.18ã¯ãããããããããããããªãããšããããšã¯äºå®ã§ããããšããããšã¯æãç«ããªãããšããããšã¯çå®ã§ãã fact7: ããããã®ããããLv.18ã¯ããããããããããªãããšããããšã¯æãç«ããªããªããã®ããããLv.55ã¯ãããããããªã fact8: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éãé£ãããããããã¯è¡ã | fact1: (x): ¬{G}x -> (¬{F}x & {D}x) fact2: (x): (¬{F}x & {D}x) -> ¬{C}x fact3: {C}{aa} -> (¬{C}{a} & {D}{a}) fact4: {B}{aa} -> {C}{aa} fact5: (x): ({A}x & ¬{B}x) -> ¬{E}x fact6: {I}{b} -> ¬({G}{b} & ¬{H}{b}) fact7: ¬({G}{b} & ¬{H}{b}) -> ¬{G}{a} fact8: (x): ({A}x & {B}x) | [
"fact8 -> int1: ãã®ãã«ãããªLv.19ã¯éãé£ãããŸãè¡ã; int1 -> int2: ãã®ãã«ãããªLv.19ã¯è¡ã; int2 & fact4 -> int3: ãã®ãã«ãããªLv.19ã¯é§ãåã; int3 & fact3 -> int4: ãã®ããããLv.55ã¯é§ãåããªãäžæ¹ã§éŠ³èµ°ãã;"
] | [
"fact8 -> int1: ({A}{aa} & {B}{aa}); int1 -> int2: {B}{aa}; int2 & fact4 -> int3: {C}{aa}; int3 & fact3 -> int4: (¬{C}{a} & {D}{a});"
] | ãã®ããããLv.55ã¯å€ªããªã | ¬{E}{a} | [
"fact13 -> int5: ããããã®ããããLv.55ã¯éãé£ãããã©è¡ããªããšããã°ããã¯å€ªããªã; fact12 -> int6: ãããã®ããããLv.55ã¯å±éãæããªãã銳走ãããšããã°ããã¯é§ãåããªã; fact9 -> int7: ãã®ããããLv.55ããããããããªããªããã®ããããLv.55ã¯å±éãæããªãããã©éŠ³èµ°ãã;"
] | 6 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒããããããããªããšãããããã¯å±éãæããªããŠãã€éŠ³èµ°ãã fact2: ä»®ã«å±éãæããªãã¢ã³ã¹ã¿ãŒã銳走ãããšããã°ããã¯é§ãåããªã fact3: ãã®ãã«ãããªLv.19ãé§ãåãã°ãã®ããããLv.55ã¯é§ãåããšããããšã¯ãªããããã銳走ãã fact4: ãããã®ãã«ãããªLv.19ãè¡ããªãã°é§ãåã fact5: ãããéãé£ãã¢ã³ã¹ã¿ãŒãè¡ããªããšãããããã¯å€ªããªã fact6: ãããä»®ã«ãã®ããããLv.18ã¯åŒ·è«ããšããã°ãããã®ããããLv.18ã¯ãããããããããããããªãããšããããšã¯äºå®ã§ããããšããããšã¯æãç«ããªãããšããããšã¯çå®ã§ãã fact7: ããããã®ããããLv.18ã¯ããããããããããªãããšããããšã¯æãç«ããªããªããã®ããããLv.55ã¯ãããããããªã fact8: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éãé£ãããããããã¯è¡ã ; $hypothesis$ = ãã®ããããLv.55ã¯å€ªããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{G}x -> (¬{F}x & {D}x) fact2: (x): (¬{F}x & {D}x) -> ¬{C}x fact3: {C}{aa} -> (¬{C}{a} & {D}{a}) fact4: {B}{aa} -> {C}{aa} fact5: (x): ({A}x & ¬{B}x) -> ¬{E}x fact6: {I}{b} -> ¬({G}{b} & ¬{H}{b}) fact7: ¬({G}{b} & ¬{H}{b}) -> ¬{G}{a} fact8: (x): ({A}x & {B}x) ; $hypothesis$ = ¬{E}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸãLv.9ã¯åæåããããã€ä¹³èãããšããããšã¯äºå®ãšç°ãªã | ¬({E}{b} & {F}{b}) | fact1: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.38ãçãããšãããšããã¯åãæããªãã芪ããã fact2: ããä»®ã«ããããšããªããã¢ã³ã¹ã¿ãŒã¯ãããšããã°ããã®ã¿ãã¿ã«ã
Lv.38ã¯æãé£ããŠæ¯ãèãããšããããšã¯äºå®ã§ãªã fact3: ãããšãã¢ã³ã¹ã¿ãŒã¯ãã fact4: ä»®ã«åãæããªãã¢ã³ã¹ã¿ãŒã芪ããããªãããã¯åæåãã fact5: ããããã®ã¿ãã¿ã«ã
Lv.38ã¯æãé£ããŠå ããŠæ¯ãèãããšããããšã¯åã ãšãããšãã®ãŸããŸãLv.9ã¯ããããããªã fact6: ãã®ã¿ãã¿ã«ã
Lv.38ãåæåãããªããã®ãŸããŸãLv.9ã¯åæåãã fact7: ãã®ãœã«ããœãLv.10ã¯ãããšããšããããšã¯ãªã fact8: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯å®è¡ãæããªããšãããšãæ°æ ããããŸãã«äžãåºãããšããããšã¯åœã§ãã | fact1: {I}{a} -> (¬{G}{a} & {H}{a}) fact2: (x): ¬{A}x -> ¬({B}{a} & {C}{a}) fact3: (Ex): {A}x fact4: (x): (¬{G}x & {H}x) -> {E}x fact5: ¬({B}{a} & {C}{a}) -> ¬{D}{b} fact6: {E}{a} -> {E}{b} fact7: ¬{A}{c} fact8: (x): ¬{DP}x -> ¬({IO}x & {HQ}x) | [
"fact7 -> int1: ããããšããªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> int2: ããã®ã¿ãã¿ã«ã
Lv.38ã¯æãé£ããŠæ¯ãèãããšããããšã¯ééãã ; int2 & fact5 -> int3: ãã®ãŸããŸãLv.9ã¯ãããããããšããããšã¯ãªã;"
] | [
"fact7 -> int1: (Ex): ¬{A}x; int1 & fact2 -> int2: ¬({B}{a} & {C}{a}); int2 & fact5 -> int3: ¬{D}{b};"
] | ãã®ãŸããŸãLv.9ã¯åæåãããå ããŠããã¯ä¹³èã | ({E}{b} & {F}{b}) | [
"fact11 -> int4: ãããã®ã¿ãã¿ã«ã
Lv.38ã¯åãæããªãäžæ¹ã§èŠªããããšãããããã®ã¿ãã¿ã«ã
Lv.38ã¯åæåããããšããããšã¯äºå®ã§ãã;"
] | 4 | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.38ãçãããšãããšããã¯åãæããªãã芪ããã fact2: ããä»®ã«ããããšããªããã¢ã³ã¹ã¿ãŒã¯ãããšããã°ããã®ã¿ãã¿ã«ã
Lv.38ã¯æãé£ããŠæ¯ãèãããšããããšã¯äºå®ã§ãªã fact3: ãããšãã¢ã³ã¹ã¿ãŒã¯ãã fact4: ä»®ã«åãæããªãã¢ã³ã¹ã¿ãŒã芪ããããªãããã¯åæåãã fact5: ããããã®ã¿ãã¿ã«ã
Lv.38ã¯æãé£ããŠå ããŠæ¯ãèãããšããããšã¯åã ãšãããšãã®ãŸããŸãLv.9ã¯ããããããªã fact6: ãã®ã¿ãã¿ã«ã
Lv.38ãåæåãããªããã®ãŸããŸãLv.9ã¯åæåãã fact7: ãã®ãœã«ããœãLv.10ã¯ãããšããšããããšã¯ãªã fact8: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯å®è¡ãæããªããšãããšãæ°æ ããããŸãã«äžãåºãããšããããšã¯åœã§ãã ; $hypothesis$ = ããã®ãŸããŸãLv.9ã¯åæåããããã€ä¹³èãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {I}{a} -> (¬{G}{a} & {H}{a}) fact2: (x): ¬{A}x -> ¬({B}{a} & {C}{a}) fact3: (Ex): {A}x fact4: (x): (¬{G}x & {H}x) -> {E}x fact5: ¬({B}{a} & {C}{a}) -> ¬{D}{b} fact6: {E}{a} -> {E}{b} fact7: ¬{A}{c} fact8: (x): ¬{DP}x -> ¬({IO}x & {HQ}x) ; $hypothesis$ = ¬({E}{b} & {F}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãå¿ããªããšããããšããã³ã·ãã·ãLv.91äºä»¶ãçºçããããšããããšã¯åœã | ¬({C} & {D}) | fact1: ãœããœãªLv.16äºä»¶ã¯çããªããšããããšã¯çŸããæããšããããšããã³ãããããšãèµ·ããã«åž°çµãã fact2: ãœããœãªLv.16äºä»¶ã¯èµ·ãããªã fact3: çŸããæããšããããšãçºçãã fact4: å¿ããªããšããããšãèµ·ãããšããããšã¯ãããããšã«ç±æ¥ãã fact5: ã€ã³ãã³ãããããšããã³ã·ã«ãã·ãªLv.16äºä»¶ãèµ·ãã fact6: ã·ãã·ãLv.91äºä»¶ãèµ·ãã | fact1: ¬{E} -> ({A} & {B}) fact2: ¬{E} fact3: {A} fact4: {B} -> {C} fact5: ({AF} & {BI}) fact6: {D} | [
"fact2 & fact1 -> int1: çŸããæããšããããšããã³ãããããšäž¡æ¹ãçãã; int1 -> int2: ãããããšãèµ·ãã; int2 & fact4 -> int3: å¿ããªããšããããšãèµ·ãã; int3 & fact6 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ({A} & {B}); int1 -> int2: {B}; int2 & fact4 -> int3: {C}; int3 & fact6 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãœããœãªLv.16äºä»¶ã¯çããªããšããããšã¯çŸããæããšããããšããã³ãããããšãèµ·ããã«åž°çµãã fact2: ãœããœãªLv.16äºä»¶ã¯èµ·ãããªã fact3: çŸããæããšããããšãçºçãã fact4: å¿ããªããšããããšãèµ·ãããšããããšã¯ãããããšã«ç±æ¥ãã fact5: ã€ã³ãã³ãããããšããã³ã·ã«ãã·ãªLv.16äºä»¶ãèµ·ãã fact6: ã·ãã·ãLv.91äºä»¶ãèµ·ãã ; $hypothesis$ = ãå¿ããªããšããããšããã³ã·ãã·ãLv.91äºä»¶ãçºçããããšããããšã¯åœã ; $proof$ = | fact2 & fact1 -> int1: çŸããæããšããããšããã³ãããããšäž¡æ¹ãçãã; int1 -> int2: ãããããšãèµ·ãã; int2 & fact4 -> int3: å¿ããªããšããããšãèµ·ãã; int3 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} -> ({A} & {B}) fact2: ¬{E} fact3: {A} fact4: {B} -> {C} fact5: ({AF} & {BI}) fact6: {D} ; $hypothesis$ = ¬({C} & {D}) ; $proof$ = | fact2 & fact1 -> int1: ({A} & {B}); int1 -> int2: {B}; int2 & fact4 -> int3: {C}; int3 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãä»®ã«ãã®ãŽããŽãLv.70ã¯åŸé£ããªããšãããããã®ãããã«ã
Lv.91ã¯ãã£ããããªããŠããã«åœ¹ããããšããããšã¯ãªãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ãšç°ãªã | ¬(¬{A}{a} -> ¬(¬{C}{c} & ¬{B}{c})) | fact1: ãããã®ãŽããŽãLv.70ãåŸé£ããªããšããããã®ã¿ã®ã¿ãLv.60ã¯åœ¹ããããªã fact2: ãããããã®ãŽããŽãLv.70ã¯åŸé£ããªãããšããããšã¯æ£ãããªãã°ãããã®ãããã«ã
Lv.91ã¯ãã£ããããªãäžæ¹ã§åœ¹ãããããšããããšã¯æ¬åœã§ãããšããããšã¯ãªãããšããããšã¯æãç«ã€ fact3: ããä»®ã«ãã®ãŽããŽãLv.70ã¯åŸé£ããªããªãããã®ãããã«ã
Lv.91ã¯ãã£ããããããã圹ããããªãããšããããšã¯æãç«ããªã fact4: ããããã®ãŽããŽãLv.70ã¯åŸé£ãããšããããšã¯ç¢ºãã§ãããªãã°ããã®ãããã«ã
Lv.91ã¯ãã£ããããªããæŽã«åœ¹ããããªãããšããããšã¯èª€ãã§ãã | fact1: ¬{A}{a} -> ¬{B}{b} fact2: ¬{A}{a} -> ¬(¬{C}{c} & {B}{c}) fact3: ¬{A}{a} -> ¬({C}{c} & ¬{B}{c}) fact4: {A}{a} -> ¬(¬{C}{c} & ¬{B}{c}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.70ã¯åŸé£ããªã; fact1 & assump1 -> int1: ãã®ã¿ã®ã¿ãLv.60ã¯åœ¹ããããªã;"
] | [
"void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: ¬{B}{b};"
] | null | null | [] | null | 4 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãŽããŽãLv.70ãåŸé£ããªããšããããã®ã¿ã®ã¿ãLv.60ã¯åœ¹ããããªã fact2: ãããããã®ãŽããŽãLv.70ã¯åŸé£ããªãããšããããšã¯æ£ãããªãã°ãããã®ãããã«ã
Lv.91ã¯ãã£ããããªãäžæ¹ã§åœ¹ãããããšããããšã¯æ¬åœã§ãããšããããšã¯ãªãããšããããšã¯æãç«ã€ fact3: ããä»®ã«ãã®ãŽããŽãLv.70ã¯åŸé£ããªããªãããã®ãããã«ã
Lv.91ã¯ãã£ããããããã圹ããããªãããšããããšã¯æãç«ããªã fact4: ããããã®ãŽããŽãLv.70ã¯åŸé£ãããšããããšã¯ç¢ºãã§ãããªãã°ããã®ãããã«ã
Lv.91ã¯ãã£ããããªããæŽã«åœ¹ããããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãä»®ã«ãã®ãŽããŽãLv.70ã¯åŸé£ããªããšãããããã®ãããã«ã
Lv.91ã¯ãã£ããããªããŠããã«åœ¹ããããšããããšã¯ãªãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ¬{B}{b} fact2: ¬{A}{a} -> ¬(¬{C}{c} & {B}{c}) fact3: ¬{A}{a} -> ¬({C}{c} & ¬{B}{c}) fact4: {A}{a} -> ¬(¬{C}{c} & ¬{B}{c}) ; $hypothesis$ = ¬(¬{A}{a} -> ¬(¬{C}{c} & ¬{B}{c})) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã®ãœã«Lv.79ã¯é£²ã¿å§ããããããã¯ããã¯ãã¿ããªã | ({D}{a} v ¬{E}{a}) | fact1: ãã®ãœã®ãœã«Lv.79ã¯ãã¿ã fact2: ããããã®ãã¡ããã«ã
Lv.36ã¯éæ©ãããšããããšã¯ãªããªãã°ãããã¯éæ©ããããããã¯ããã¯ããªèããã©ã¡ããã§ããããšããããšã¯åã fact3: ãããã®ãã¡ããã«ã
Lv.36ã¯èšãé£ãããããã¯ä¹Ÿãæããã©ã¡ããã§ããããšããããšã¯èª€ã£ãŠããããšããããšã¯äºå®ã§ãã fact4: ãããã®ãœã®ãœã«Lv.79ãèŠæ¥µãé£ããªããšããã°ããã¯ãã¿ã fact5: ãã®ãŸããŸãLv.38ã¯èŠæ¥µãé£ã fact6: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éæ©ããªã fact7: èŠæ¥µãé£ãã¢ã³ã¹ã¿ãŒã¯éæ©ããªããŠãŸãããªèããªã fact8: ãã®ãœã®ãœã«Lv.79ã¯èŠæ¥µãé£ããªããšãããšã飲ã¿å§ããããããã¯ããã¯ãã¿ããªãããšããããšã¯ç¢ºãã§ãªã | fact1: {E}{a} fact2: ¬{A}{aa} -> ¬({A}{aa} v {B}{aa}) fact3: ¬({EA}{aa} v {FI}{aa}) fact4: ¬{C}{a} -> {E}{a} fact5: {C}{bg} fact6: (x): ¬{A}x fact7: (x): {C}x -> (¬{A}x & ¬{B}x) fact8: ¬{C}{a} -> ¬({D}{a} v ¬{E}{a}) | [
"fact6 -> int1: ãã®ãã¡ããã«ã
Lv.36ã¯éæ©ããªã; int1 & fact2 -> int2: ããã®ãã¡ããã«ã
Lv.36ã¯éæ©ããããŸãã¯ããªèãããããã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã;"
] | [
"fact6 -> int1: ¬{A}{aa}; int1 & fact2 -> int2: ¬({A}{aa} v {B}{aa});"
] | ãã®ãœã®ãœã«Lv.79ã¯é£²ã¿å§ããããããã¯ããã¯ãã¿ããªã | ({D}{a} v ¬{E}{a}) | [
"fact9 -> int3: ãã®ã·ãã·ãLv.67ãèŠæ¥µãé£ããªããã®ã·ãã·ãLv.67ã¯éæ©ããªããããã«ããªèããªã;"
] | 7 | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœã®ãœã«Lv.79ã¯ãã¿ã fact2: ããããã®ãã¡ããã«ã
Lv.36ã¯éæ©ãããšããããšã¯ãªããªãã°ãããã¯éæ©ããããããã¯ããã¯ããªèããã©ã¡ããã§ããããšããããšã¯åã fact3: ãããã®ãã¡ããã«ã
Lv.36ã¯èšãé£ãããããã¯ä¹Ÿãæããã©ã¡ããã§ããããšããããšã¯èª€ã£ãŠããããšããããšã¯äºå®ã§ãã fact4: ãããã®ãœã®ãœã«Lv.79ãèŠæ¥µãé£ããªããšããã°ããã¯ãã¿ã fact5: ãã®ãŸããŸãLv.38ã¯èŠæ¥µãé£ã fact6: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éæ©ããªã fact7: èŠæ¥µãé£ãã¢ã³ã¹ã¿ãŒã¯éæ©ããªããŠãŸãããªèããªã fact8: ãã®ãœã®ãœã«Lv.79ã¯èŠæ¥µãé£ããªããšãããšã飲ã¿å§ããããããã¯ããã¯ãã¿ããªãããšããããšã¯ç¢ºãã§ãªã ; $hypothesis$ = ãã®ãœã®ãœã«Lv.79ã¯é£²ã¿å§ããããããã¯ããã¯ãã¿ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E}{a} fact2: ¬{A}{aa} -> ¬({A}{aa} v {B}{aa}) fact3: ¬({EA}{aa} v {FI}{aa}) fact4: ¬{C}{a} -> {E}{a} fact5: {C}{bg} fact6: (x): ¬{A}x fact7: (x): {C}x -> (¬{A}x & ¬{B}x) fact8: ¬{C}{a} -> ¬({D}{a} v ¬{E}{a}) ; $hypothesis$ = ({D}{a} v ¬{E}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã©ãã·ã³ã°ããããšãèµ·ãã | {D} | fact1: ãããã¡ãLv.67äºä»¶ã¯ãŸããŸã«ãLv.63äºä»¶ãèªçºãã fact2: ããŸã¡ããŸãLv.28äºä»¶ãèµ·ããããšããããšã¯ãŸããŸã¡ãLv.45äºä»¶ãèªçºãã fact3: ã¿ãã¿ãLv.80äºä»¶ãçããããããã¯ã¿ã«ãã¿ãLv.54äºä»¶ãçãããäž¡æ¹ã§ãã fact4: ç åºãããããšãã¿ãã¿ãLv.80äºä»¶ã¯å¥æ©ã fact5: 芪ããšããããšã¯çããšããããšã«èµ·å ãã fact6: ãã©ãã·ã³ã°ããããšã¯ãã¿ã«ãã¿ãLv.54äºä»¶ãèµ·ããããã€ã¿ãã¿ãLv.80äºä»¶ãçããããšããããšã«é²ããã fact7: ééç¡ããšããããšã¯ãŸã®ãŸã«ã
Lv.45äºä»¶ã«åŒãèµ·ãããã fact8: ããã©ãã·ã³ã°ããããšãèµ·ããããšããããšã¯ç åºãããããšã«ç±æ¥ãã fact9: ãã¿ã«ãã¿ãLv.54äºä»¶ãçããããšããããšã¯ç åºãããããšã«ç¹ãã | fact1: {BF} -> {IO} fact2: {EG} -> {BQ} fact3: ({A} v {B}) fact4: {A} -> {C} fact5: {CR} -> {GB} fact6: ({B} & {A}) -> ¬{D} fact7: {CJ} -> {JF} fact8: {C} -> {D} fact9: {B} -> {C} | [
"fact3 & fact4 & fact9 -> int1: ç åºãããããšãçºçãã; int1 & fact8 -> hypothesis;"
] | [
"fact3 & fact4 & fact9 -> int1: {C}; int1 & fact8 -> hypothesis;"
] | ãã©ãã·ã³ã°ããããšã¯çºçããªã | ¬{D} | [] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã¡ãLv.67äºä»¶ã¯ãŸããŸã«ãLv.63äºä»¶ãèªçºãã fact2: ããŸã¡ããŸãLv.28äºä»¶ãèµ·ããããšããããšã¯ãŸããŸã¡ãLv.45äºä»¶ãèªçºãã fact3: ã¿ãã¿ãLv.80äºä»¶ãçããããããã¯ã¿ã«ãã¿ãLv.54äºä»¶ãçãããäž¡æ¹ã§ãã fact4: ç åºãããããšãã¿ãã¿ãLv.80äºä»¶ã¯å¥æ©ã fact5: 芪ããšããããšã¯çããšããããšã«èµ·å ãã fact6: ãã©ãã·ã³ã°ããããšã¯ãã¿ã«ãã¿ãLv.54äºä»¶ãèµ·ããããã€ã¿ãã¿ãLv.80äºä»¶ãçããããšããããšã«é²ããã fact7: ééç¡ããšããããšã¯ãŸã®ãŸã«ã
Lv.45äºä»¶ã«åŒãèµ·ãããã fact8: ããã©ãã·ã³ã°ããããšãèµ·ããããšããããšã¯ç åºãããããšã«ç±æ¥ãã fact9: ãã¿ã«ãã¿ãLv.54äºä»¶ãçããããšããããšã¯ç åºãããããšã«ç¹ãã ; $hypothesis$ = ãã©ãã·ã³ã°ããããšãèµ·ãã ; $proof$ = | fact3 & fact4 & fact9 -> int1: ç åºãããããšãçºçãã; int1 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: {BF} -> {IO} fact2: {EG} -> {BQ} fact3: ({A} v {B}) fact4: {A} -> {C} fact5: {CR} -> {GB} fact6: ({B} & {A}) -> ¬{D} fact7: {CJ} -> {JF} fact8: {C} -> {D} fact9: {B} -> {C} ; $hypothesis$ = {D} ; $proof$ = | fact3 & fact4 & fact9 -> int1: {C}; int1 & fact8 -> hypothesis; __PROVED__ |
0.3 | åè¹ããããšã¯çããªã | ¬{F} | fact1: ãŽã¡ã
ãŽã«ã
Lv.37äºä»¶ãèµ·ããããŸãéé£ããŸãããšããããšãçãã fact2: ãœã®ãœãªLv.91äºä»¶ãçºçããããŸãäžããé£ããšããããšãèµ·ãããšãããåè¹ããããšã¯çããªã fact3: ãœã®ãœãªLv.91äºä»¶ãèµ·ãã fact4: äžããé£ããšããããšã¯çããªããšããããšã¯ãœããœãLv.78äºä»¶ã«é»ãŸãã fact5: ãéé£ããŸãããšããããšãèµ·ããããšããããšã¯ãœããœãLv.78äºä»¶ãèªçºãã | fact1: ({A} & {B}) fact2: ({E} & {D}) -> ¬{F} fact3: {E} fact4: {C} -> {D} fact5: {B} -> {C} | [
"fact1 -> int1: éé£ããŸãããšããããšãèµ·ãã; int1 & fact5 -> int2: ãœããœãLv.78äºä»¶ãèµ·ãã; int2 & fact4 -> int3: äžããé£ããšããããšãçãã; int3 & fact3 -> int4: ãœã®ãœãªLv.91äºä»¶ãçºçãããäžããé£ããšããããšãçãã; int4 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact5 -> int2: {C}; int2 & fact4 -> int3: {D}; int3 & fact3 -> int4: ({E} & {D}); int4 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãŽã¡ã
ãŽã«ã
Lv.37äºä»¶ãèµ·ããããŸãéé£ããŸãããšããããšãçãã fact2: ãœã®ãœãªLv.91äºä»¶ãçºçããããŸãäžããé£ããšããããšãèµ·ãããšãããåè¹ããããšã¯çããªã fact3: ãœã®ãœãªLv.91äºä»¶ãèµ·ãã fact4: äžããé£ããšããããšã¯çããªããšããããšã¯ãœããœãLv.78äºä»¶ã«é»ãŸãã fact5: ãéé£ããŸãããšããããšãèµ·ããããšããããšã¯ãœããœãLv.78äºä»¶ãèªçºãã ; $hypothesis$ = åè¹ããããšã¯çããªã ; $proof$ = | fact1 -> int1: éé£ããŸãããšããããšãèµ·ãã; int1 & fact5 -> int2: ãœããœãLv.78äºä»¶ãèµ·ãã; int2 & fact4 -> int3: äžããé£ããšããããšãçãã; int3 & fact3 -> int4: ãœã®ãœãªLv.91äºä»¶ãçºçãããäžããé£ããšããããšãçãã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ({E} & {D}) -> ¬{F} fact3: {E} fact4: {C} -> {D} fact5: {B} -> {C} ; $hypothesis$ = ¬{F} ; $proof$ = | fact1 -> int1: {B}; int1 & fact5 -> int2: {C}; int2 & fact4 -> int3: {D}; int3 & fact3 -> int4: ({E} & {D}); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽãªãŽã«Lv.91ã¯é ã | {D}{b} | fact1: ããããã®ã¿ã«ãã¿ãLv.23ãæ ¹å·®ããªããã®ã·ã¡ãã·ãLv.23ã¯èª€è§£ãæããã©æ ¹å·®ããªã fact2: ããããã®ã·ã¡ãã·ãLv.23ã¯èª€è§£ãæããã©æ ¹å·®ããªããªãã°ããã¯å€ã fact3: ãããç¥ãé£ããªãã¢ã³ã¹ã¿ãŒã¯æ ¹å·®ããªããšãããšã誀解ãæãããšããããšã¯äºå®ã fact4: ãã®ã¿ã«ãã¿ãLv.23ã¯ãããŸãããªããããã«ç¥ãé£ããªã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯ãããŸãããªãããã®äžç¥ãé£ããªããšãããšããã¯æ ¹å·®ã | fact1: {B}{aa} -> ({C}{a} & ¬{B}{a}) fact2: ({C}{a} & ¬{B}{a}) -> {A}{a} fact3: (x): (¬{AB}x & ¬{B}x) -> {C}x fact4: (¬{AA}{aa} & ¬{AB}{aa}) fact5: (x): (¬{AA}x & ¬{AB}x) -> {B}x | [
"fact5 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ãLv.23ããããŸãããªãããã®äžç¥ãé£ããªããšãããšãã®ã¿ã«ãã¿ãLv.23ã¯æ ¹å·®ã; int1 & fact4 -> int2: ãã®ã¿ã«ãã¿ãLv.23ã¯æ ¹å·®ã; int2 & fact1 -> int3: ãã®ã·ã¡ãã·ãLv.23ã¯èª€è§£ãæããã©æ ¹å·®ããªã; int3 & fact2 -> int4: ãã®ã·ã¡ãã·ãLv.23ã¯å€ã;"
] | [
"fact5 -> int1: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact4 -> int2: {B}{aa}; int2 & fact1 -> int3: ({C}{a} & ¬{B}{a}); int3 & fact2 -> int4: {A}{a};"
] | null | null | [] | null | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ã¿ã«ãã¿ãLv.23ãæ ¹å·®ããªããã®ã·ã¡ãã·ãLv.23ã¯èª€è§£ãæããã©æ ¹å·®ããªã fact2: ããããã®ã·ã¡ãã·ãLv.23ã¯èª€è§£ãæããã©æ ¹å·®ããªããªãã°ããã¯å€ã fact3: ãããç¥ãé£ããªãã¢ã³ã¹ã¿ãŒã¯æ ¹å·®ããªããšãããšã誀解ãæãããšããããšã¯äºå®ã fact4: ãã®ã¿ã«ãã¿ãLv.23ã¯ãããŸãããªããããã«ç¥ãé£ããªã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯ãããŸãããªãããã®äžç¥ãé£ããªããšãããšããã¯æ ¹å·®ã ; $hypothesis$ = ãã®ãŽãªãŽã«Lv.91ã¯é ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{aa} -> ({C}{a} & ¬{B}{a}) fact2: ({C}{a} & ¬{B}{a}) -> {A}{a} fact3: (x): (¬{AB}x & ¬{B}x) -> {C}x fact4: (¬{AA}{aa} & ¬{AB}{aa}) fact5: (x): (¬{AA}x & ¬{AB}x) -> {B}x ; $hypothesis$ = {D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.63ã¯ç©ããããªããã©ããã¯è©³ãã | (¬{D}{b} & {C}{b}) | fact1: ãã®ã¿ã®ã¿ãLv.86ã¯æªè³¢ã fact2: ãã®ã¿ã®ã¿ãLv.86ã¯è©³ãããªã fact3: ãããã®ã¿ã®ã¿ãLv.86ãé ããšããã°ãã®ã¿ã®ã¿ãLv.86ã¯æªè³¢ããªã fact4: ããä»®ã«ãã®ã¿ã®ã¿ãLv.86ãé ããªããšãããšãã®ã¿ã¡ãã¿ãLv.63ã¯ç©ããããªãäžæ¹ã§è©³ãã fact5: ãã®ã¿ã¡ãã¿ãLv.63ã¯æªè³¢ã | fact1: {B}{a} fact2: ¬{C}{a} fact3: {A}{a} -> ¬{B}{a} fact4: ¬{A}{a} -> (¬{D}{b} & {C}{b}) fact5: {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã®ã¿ãLv.86ã¯é ã; fact3 & assump1 -> int1: ãã®ã¿ã®ã¿ãLv.86ã¯æªè³¢ããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã¿ã®ã¿ãLv.86ã¯é ããªã; int3 & fact4 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ã®ã¿ãLv.86ã¯æªè³¢ã fact2: ãã®ã¿ã®ã¿ãLv.86ã¯è©³ãããªã fact3: ãããã®ã¿ã®ã¿ãLv.86ãé ããšããã°ãã®ã¿ã®ã¿ãLv.86ã¯æªè³¢ããªã fact4: ããä»®ã«ãã®ã¿ã®ã¿ãLv.86ãé ããªããšãããšãã®ã¿ã¡ãã¿ãLv.63ã¯ç©ããããªãäžæ¹ã§è©³ãã fact5: ãã®ã¿ã¡ãã¿ãLv.63ã¯æªè³¢ã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.63ã¯ç©ããããªããã©ããã¯è©³ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ã®ã¿ãLv.86ã¯é ã; fact3 & assump1 -> int1: ãã®ã¿ã®ã¿ãLv.86ã¯æªè³¢ããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã¿ã®ã¿ãLv.86ã¯é ããªã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: ¬{C}{a} fact3: {A}{a} -> ¬{B}{a} fact4: ¬{A}{a} -> (¬{D}{b} & {C}{b}) fact5: {B}{b} ; $hypothesis$ = (¬{D}{b} & {C}{b}) ; $proof$ = | void -> assump1: {A}{a}; fact3 & assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãŸããŸãLv.63äºä»¶ã¯çºçããªã | ¬{E} | fact1: ããã¡ãããLv.90äºä»¶ã¯çããªãããŽã¡ããŽãLv.77äºä»¶ã¯çºçããããšããããšã¯ã埡ãã§ãããšããããšã¯çããªãããšããããšãé²ã fact2: ãŽã«ããŽã«ãLv.41äºä»¶ãçãããšããããšã¯é£²ã¿æããšããããšããŸãã¯åŸ¡ãã§ãããšããããšããããã¯äž¡æ¹ã«é»ãŸãã fact3: æ¢ãã©ç¡ããšããããšã¯çºçããªããšããããšã¯ãŽã«ããŽã«ãLv.41äºä»¶ã¯çããªããšããããšã«é»ãŸãã fact4: ãã¡ãããLv.90äºä»¶ãçºçããªãäžæ¹ã§ãŽã¡ããŽãLv.77äºä»¶ã¯çºçãã fact5: ãã©ããããšããããšãçãã fact6: ãåãæããšããããšã¯èµ·ãããªãããšããããšã¯ãããã®Lv.19äºä»¶ãã¿ãã¿ã®Lv.74äºä»¶ãå¥æ©ã | fact1: (¬{AA} & {AB}) -> {B} fact2: ({A} v {B}) -> ¬{C} fact3: ¬{C} -> {D} fact4: (¬{AA} & {AB}) fact5: {GI} fact6: ({BG} v {IC}) -> ¬{FA} | [
"fact1 & fact4 -> int1: 埡ãã§ãããšããããšãèµ·ãã; int1 -> int2: 飲ã¿æããšããããšãçããããŸãã¯åŸ¡ãã§ãããšããããšãçããããããã¯äž¡æ¹ãšãã ; int2 & fact2 -> int3: ãŽã«ããŽã«ãLv.41äºä»¶ã¯çããªã; int3 & fact3 -> int4: æ¢ãã©ç¡ããšããããšãçãã;"
] | [
"fact1 & fact4 -> int1: {B}; int1 -> int2: ({A} v {B}); int2 & fact2 -> int3: ¬{C}; int3 & fact3 -> int4: {D};"
] | null | null | [] | null | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã¡ãããLv.90äºä»¶ã¯çããªãããŽã¡ããŽãLv.77äºä»¶ã¯çºçããããšããããšã¯ã埡ãã§ãããšããããšã¯çããªãããšããããšãé²ã fact2: ãŽã«ããŽã«ãLv.41äºä»¶ãçãããšããããšã¯é£²ã¿æããšããããšããŸãã¯åŸ¡ãã§ãããšããããšããããã¯äž¡æ¹ã«é»ãŸãã fact3: æ¢ãã©ç¡ããšããããšã¯çºçããªããšããããšã¯ãŽã«ããŽã«ãLv.41äºä»¶ã¯çããªããšããããšã«é»ãŸãã fact4: ãã¡ãããLv.90äºä»¶ãçºçããªãäžæ¹ã§ãŽã¡ããŽãLv.77äºä»¶ã¯çºçãã fact5: ãã©ããããšããããšãçãã fact6: ãåãæããšããããšã¯èµ·ãããªãããšããããšã¯ãããã®Lv.19äºä»¶ãã¿ãã¿ã®Lv.74äºä»¶ãå¥æ©ã ; $hypothesis$ = ãŸããŸãLv.63äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA} & {AB}) -> {B} fact2: ({A} v {B}) -> ¬{C} fact3: ¬{C} -> {D} fact4: (¬{AA} & {AB}) fact5: {GI} fact6: ({BG} v {IC}) -> ¬{FA} ; $hypothesis$ = ¬{E} ; $proof$ = | __UNKNOWN__ |
0.3 | çéãé£ããšããããšã¯èµ·ãããªã | ¬{A} | fact1: ãããããã«ããã¡ã
Lv.32äºä»¶ã¯èµ·ãããªãããšããããšã¯æ£ãããªãã°ãçç£ãåŸãããšãçãããããã埡容赊é¡ãããšã¯çããªãããšããããšã¯ç¢ºãã§ãªã fact2: ããçç£ãåŸãããšãèµ·ããã埡容赊é¡ãããšã¯èµ·ããªãããšããããšã¯æãç«ããªãããšããããšã¯æ¬åœã§ãããªãã°ãœããœãLv.61äºä»¶ã¯çããªã fact3: ä»ãåããããšãèµ·ãã fact4: ãå¬åããããšãçºçããªããŠããŸãã«æ奜ããããšã¯çããªãããšããããšã¯ããã«ããã¡ã
Lv.32äºä»¶ãçããããšããããšãåé¿ãã fact5: ãé¢çœããšããããšã¯èµ·ããªããããã©ããšããããšãèµ·ããããšããããšã¯ç¢ºãã ãšããããšã¯ãªããšããã°çéãé£ããšããããšã¯çºçããªã fact6: æããããšããããšã¯çºçããªã fact7: ä»®ã«ãœããœãLv.61äºä»¶ãèµ·ããªããšãããçéãé£ããšããããšãšä»ãåããããšäž¡æ¹ãšãã¯çºçãã fact8: ä»ãåããããšã¯ãé¢çœããšããããšã¯èµ·ãããªããããã©ããšããããšãçºçããããšããããšã«é»æ¢ããã | fact1: ¬{F} -> ¬({E} & ¬{D}) fact2: ¬({E} & ¬{D}) -> ¬{C} fact3: {B} fact4: (¬{H} & ¬{G}) -> ¬{F} fact5: ¬(¬{AA} & {AB}) -> ¬{A} fact6: ¬{IT} fact7: ¬{C} -> ({A} & {B}) fact8: (¬{AA} & {AB}) -> ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããé¢çœããšããããšã§ã¯ãªããŠããã©ããšããããšãçãã; fact8 & assump1 -> int1: ä»ãåããããšã¯çºçããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãé¢çœããšããããšã§ã¯ãªãããã©ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: (¬{AA} & {AB}); fact8 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & {AB}); int3 & fact5 -> hypothesis;"
] | çéãé£ããšããããšãèµ·ãã | {A} | [] | 8 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããã«ããã¡ã
Lv.32äºä»¶ã¯èµ·ãããªãããšããããšã¯æ£ãããªãã°ãçç£ãåŸãããšãçãããããã埡容赊é¡ãããšã¯çããªãããšããããšã¯ç¢ºãã§ãªã fact2: ããçç£ãåŸãããšãèµ·ããã埡容赊é¡ãããšã¯èµ·ããªãããšããããšã¯æãç«ããªãããšããããšã¯æ¬åœã§ãããªãã°ãœããœãLv.61äºä»¶ã¯çããªã fact3: ä»ãåããããšãèµ·ãã fact4: ãå¬åããããšãçºçããªããŠããŸãã«æ奜ããããšã¯çããªãããšããããšã¯ããã«ããã¡ã
Lv.32äºä»¶ãçããããšããããšãåé¿ãã fact5: ãé¢çœããšããããšã¯èµ·ããªããããã©ããšããããšãèµ·ããããšããããšã¯ç¢ºãã ãšããããšã¯ãªããšããã°çéãé£ããšããããšã¯çºçããªã fact6: æããããšããããšã¯çºçããªã fact7: ä»®ã«ãœããœãLv.61äºä»¶ãèµ·ããªããšãããçéãé£ããšããããšãšä»ãåããããšäž¡æ¹ãšãã¯çºçãã fact8: ä»ãåããããšã¯ãé¢çœããšããããšã¯èµ·ãããªããããã©ããšããããšãçºçããããšããããšã«é»æ¢ããã ; $hypothesis$ = çéãé£ããšããããšã¯èµ·ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããé¢çœããšããããšã§ã¯ãªããŠããã©ããšããããšãçãã; fact8 & assump1 -> int1: ä»ãåããããšã¯çºçããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãé¢çœããšããããšã§ã¯ãªãããã©ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F} -> ¬({E} & ¬{D}) fact2: ¬({E} & ¬{D}) -> ¬{C} fact3: {B} fact4: (¬{H} & ¬{G}) -> ¬{F} fact5: ¬(¬{AA} & {AB}) -> ¬{A} fact6: ¬{IT} fact7: ¬{C} -> ({A} & {B}) fact8: (¬{AA} & {AB}) -> ¬{B} ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: (¬{AA} & {AB}); fact8 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & {AB}); int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããããã®ã¿ãã¿ãªLv.32ãããã°ãããšããã°ãã®ãœãªãœãªLv.60ã¯èŸãã | {A}{a} -> {B}{c} | fact1: ãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªããèªçºãæããã©ã¡ããã fact2: ããä»®ã«ãã®ã¿ãã¿ãªLv.32ãããã°ãããšãããšãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªããããã¯èªçºãæããªãããããã¯äž¡æ¹ãšãã fact3: ãã®ãŸã«ããŸã¡ãLv.27ãèªçºãæããªããªããã®ãœãªãœãªLv.60ã¯èŸãã fact4: ããä»®ã«ãã®ã¿ãã¿ãªLv.32ãããã°ãããšããã°ãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªãããŸãã¯ããã¯èªçºãæã | fact1: (¬{AA}{b} v {AB}{b}) fact2: {A}{a} -> (¬{AA}{b} v ¬{AB}{b}) fact3: ¬{AB}{b} -> {B}{c} fact4: {A}{a} -> (¬{AA}{b} v {AB}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ãªLv.32ã¯ããã°ãã; fact2 & assump1 -> int1: ãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªãããããã¯èªçºãæããªãããŸãã¯äž¡æ¹ãšãã ;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: (¬{AA}{b} v ¬{AB}{b});"
] | null | null | [] | null | 4 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªããèªçºãæããã©ã¡ããã fact2: ããä»®ã«ãã®ã¿ãã¿ãªLv.32ãããã°ãããšãããšãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªããããã¯èªçºãæããªãããããã¯äž¡æ¹ãšãã fact3: ãã®ãŸã«ããŸã¡ãLv.27ãèªçºãæããªããªããã®ãœãªãœãªLv.60ã¯èŸãã fact4: ããä»®ã«ãã®ã¿ãã¿ãªLv.32ãããã°ãããšããã°ãã®ãŸã«ããŸã¡ãLv.27ã¯å¥œããããªãããŸãã¯ããã¯èªçºãæã ; $hypothesis$ = ããããã®ã¿ãã¿ãªLv.32ãããã°ãããšããã°ãã®ãœãªãœãªLv.60ã¯èŸãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{b} v {AB}{b}) fact2: {A}{a} -> (¬{AA}{b} v ¬{AB}{b}) fact3: ¬{AB}{b} -> {B}{c} fact4: {A}{a} -> (¬{AA}{b} v {AB}{b}) ; $hypothesis$ = {A}{a} -> {B}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | èæ±ããšããããšã¯çããªã | ¬{A} | fact1: ããŸã®ãŸãLv.50äºä»¶ãèµ·ããããœãªãœã¡ã
Lv.42äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact2: ä»®ã«ã¢ã¡ãªã«ã£ãœããšããããšãçºçãããªãèæ±ããšããããšã§ã¯ãªããŠã·ã«ãã·ã¡ãLv.53äºä»¶ã¯çºçãã fact3: ããããããŸã®ãŸãLv.50äºä»¶ã¯çºçããããœãªãœã¡ã
Lv.42äºä»¶ã¯èµ·ããªãããšããããšã¯æ¬åœã§ããããšããããšã¯ééã£ãŠãããªãèæ±ããšããããšãçºçãã | fact1: ¬({AA} & ¬{AB}) fact2: {C} -> (¬{A} & {B}) fact3: ¬({AA} & ¬{AB}) -> {A} | [
"fact1 -> int1: ããŸã®ãŸãLv.50äºä»¶ãèµ·ããããœãªãœã¡ã
Lv.42äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: ¬({AA} & ¬{AB}); int1 & fact3 -> hypothesis;"
] | èæ±ããšããããšã¯çããªã | ¬{A} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããŸã®ãŸãLv.50äºä»¶ãèµ·ããããœãªãœã¡ã
Lv.42äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact2: ä»®ã«ã¢ã¡ãªã«ã£ãœããšããããšãçºçãããªãèæ±ããšããããšã§ã¯ãªããŠã·ã«ãã·ã¡ãLv.53äºä»¶ã¯çºçãã fact3: ããããããŸã®ãŸãLv.50äºä»¶ã¯çºçããããœãªãœã¡ã
Lv.42äºä»¶ã¯èµ·ããªãããšããããšã¯æ¬åœã§ããããšããããšã¯ééã£ãŠãããªãèæ±ããšããããšãçºçãã ; $hypothesis$ = èæ±ããšããããšã¯çããªã ; $proof$ = | fact1 -> int1: ããŸã®ãŸãLv.50äºä»¶ãèµ·ããããœãªãœã¡ã
Lv.42äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA} & ¬{AB}) fact2: {C} -> (¬{A} & {B}) fact3: ¬({AA} & ¬{AB}) -> {A} ; $hypothesis$ = ¬{A} ; $proof$ = | fact1 -> int1: ¬({AA} & ¬{AB}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.69ã¯æž
ããªã | ¬{C}{c} | fact1: ãã®ãŽããŽãLv.49ã¯çŸšãŸãã fact2: ãã®ãŸã«ãŸã«ãLv.54ãè¡ããšãããšãã®ããããLv.69ã¯æž
ã fact3: ä»®ã«ãã®ãŽããŽãLv.49ãããããªããšããã°ãã®ããããLv.69ã¯è¡ããªãããŸãã¯æž
ããªããäž¡æ¹ãšãã fact4: ä»®ã«ãã®ãŽããŽãLv.49ãè¡ããªãã°ãã®ãŸã«ãŸã«ãLv.54ã¯çŸšãŸãã fact5: ããããã®ããããLv.69ã矚ãŸãããªããã®ãŽããŽãLv.49ã¯æž
ã fact6: ãè¡ããªãããããã¯æž
ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯çŸšãŸããããšããããšã¯æ¬åœã§ãã fact7: ãããã®ãŽããŽãLv.49ã矚ãŸãããšããã°ãã®ãŸã«ãŸã«ãLv.54ã¯è¡ã | fact1: {A}{a} fact2: {B}{b} -> {C}{c} fact3: ¬{D}{a} -> (¬{B}{c} v ¬{C}{c}) fact4: {B}{a} -> {A}{b} fact5: {A}{c} -> {C}{a} fact6: (x): (¬{B}x v ¬{C}x) -> {A}x fact7: {A}{a} -> {B}{b} | [
"fact7 & fact1 -> int1: ãã®ãŸã«ãŸã«ãLv.54ã¯è¡ã; int1 & fact2 -> hypothesis;"
] | [
"fact7 & fact1 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | ãã®ããããLv.69ã¯çŸšãŸãã | {A}{c} | [
"fact8 -> int2: ããããã®ããããLv.69ãè¡ããªãããããã¯ãããæž
ããªããªã矚ãŸãã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽãLv.49ã¯çŸšãŸãã fact2: ãã®ãŸã«ãŸã«ãLv.54ãè¡ããšãããšãã®ããããLv.69ã¯æž
ã fact3: ä»®ã«ãã®ãŽããŽãLv.49ãããããªããšããã°ãã®ããããLv.69ã¯è¡ããªãããŸãã¯æž
ããªããäž¡æ¹ãšãã fact4: ä»®ã«ãã®ãŽããŽãLv.49ãè¡ããªãã°ãã®ãŸã«ãŸã«ãLv.54ã¯çŸšãŸãã fact5: ããããã®ããããLv.69ã矚ãŸãããªããã®ãŽããŽãLv.49ã¯æž
ã fact6: ãè¡ããªãããããã¯æž
ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯çŸšãŸããããšããããšã¯æ¬åœã§ãã fact7: ãããã®ãŽããŽãLv.49ã矚ãŸãããšããã°ãã®ãŸã«ãŸã«ãLv.54ã¯è¡ã ; $hypothesis$ = ãã®ããããLv.69ã¯æž
ããªã ; $proof$ = | fact7 & fact1 -> int1: ãã®ãŸã«ãŸã«ãLv.54ã¯è¡ã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {B}{b} -> {C}{c} fact3: ¬{D}{a} -> (¬{B}{c} v ¬{C}{c}) fact4: {B}{a} -> {A}{b} fact5: {A}{c} -> {C}{a} fact6: (x): (¬{B}x v ¬{C}x) -> {A}x fact7: {A}{a} -> {B}{b} ; $hypothesis$ = ¬{C}{c} ; $proof$ = | fact7 & fact1 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã«ãLv.45ã¯çããªããããã¯åœ¢å®¹ãé£ããšããããšã¯ãªã | (¬{E}{c} & ¬{F}{c}) | fact1: ãããã¯äœ¿çšãæããŠå ããŠããã¯çŠãèãããšããããšã¯äºå®ã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ãããã®ã¿ãã¿ã«ãLv.68ã¯äœ¿çšãæããå ããŠçŠãèãããšããããšã¯æãç«ã€ããšããããšã¯åœã fact3: ããããã®ãŽããŽã®Lv.93ãç解ãé£ããšããããã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããªã fact4: ããã¯äœ¿çšãæãäžæ¹ã§çŠãèããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ããããã®ã¿ãã¿ã«ãLv.68ãæ°åŒµããªããšãããšãã®ãŽããŽã®Lv.93ã¯å€ãããããã¯ç解ãé£ã fact6: ããä»®ã«ãã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããšããããšã¯ãªããªãã°ããã®ã·ãã·ã«ãLv.45ã¯çããšããããšã¯ãªããŠããã«ããã¯åœ¢å®¹ãé£ããªãããšããããšã¯èª€ãã§ãã fact7: ä»®ã«ããã®ã¿ãã¿ã«ãLv.68ã¯äœ¿çšãæããçŠãèããšããããšã¯ãªãããšããããšã¯èª€ãã§ãããªãã°æ°åŒµããªã fact8: ãããã®ãŽããŽã®Lv.93ãå€ãããŸãã¯ç解ãé£ããã©ã¡ããã ãšããããã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããªã | fact1: (x): ¬({AA}x & {AB}x) fact2: ¬({AA}{aa} & {AB}{aa}) fact3: {C}{a} -> ¬{D}{b} fact4: (x): ¬({AA}x & ¬{AB}x) fact5: ¬{A}{aa} -> ({B}{a} v {C}{a}) fact6: ¬{D}{b} -> ¬(¬{E}{c} & ¬{F}{c}) fact7: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{A}{aa} fact8: ({B}{a} v {C}{a}) -> ¬{D}{b} | [
"fact4 -> int1: ããã®ã¿ãã¿ã«ãLv.68ã¯äœ¿çšãæãããããçŠãèããªãããšããããšã¯æ£ãããªã; int1 & fact7 -> int2: ãã®ã¿ãã¿ã«ãLv.68ã¯æ°åŒµããªã; int2 & fact5 -> int3: ãã®ãŽããŽã®Lv.93ã¯å€ãããããã¯ç解ãé£ãããããã¯ã©ã¡ããã§ãã; int3 & fact8 -> int4: ãã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããªã; int4 & fact6 -> hypothesis;"
] | [
"fact4 -> int1: ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact7 -> int2: ¬{A}{aa}; int2 & fact5 -> int3: ({B}{a} v {C}{a}); int3 & fact8 -> int4: ¬{D}{b}; int4 & fact6 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã¯äœ¿çšãæããŠå ããŠããã¯çŠãèãããšããããšã¯äºå®ã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ãããã®ã¿ãã¿ã«ãLv.68ã¯äœ¿çšãæããå ããŠçŠãèãããšããããšã¯æãç«ã€ããšããããšã¯åœã fact3: ããããã®ãŽããŽã®Lv.93ãç解ãé£ããšããããã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããªã fact4: ããã¯äœ¿çšãæãäžæ¹ã§çŠãèããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: ããããã®ã¿ãã¿ã«ãLv.68ãæ°åŒµããªããšãããšãã®ãŽããŽã®Lv.93ã¯å€ãããããã¯ç解ãé£ã fact6: ããä»®ã«ãã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããšããããšã¯ãªããªãã°ããã®ã·ãã·ã«ãLv.45ã¯çããšããããšã¯ãªããŠããã«ããã¯åœ¢å®¹ãé£ããªãããšããããšã¯èª€ãã§ãã fact7: ä»®ã«ããã®ã¿ãã¿ã«ãLv.68ã¯äœ¿çšãæããçŠãèããšããããšã¯ãªãããšããããšã¯èª€ãã§ãããªãã°æ°åŒµããªã fact8: ãããã®ãŽããŽã®Lv.93ãå€ãããŸãã¯ç解ãé£ããã©ã¡ããã ãšããããã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããªã ; $hypothesis$ = ãã®ã·ãã·ã«ãLv.45ã¯çããªããããã¯åœ¢å®¹ãé£ããšããããšã¯ãªã ; $proof$ = | fact4 -> int1: ããã®ã¿ãã¿ã«ãLv.68ã¯äœ¿çšãæãããããçŠãèããªãããšããããšã¯æ£ãããªã; int1 & fact7 -> int2: ãã®ã¿ãã¿ã«ãLv.68ã¯æ°åŒµããªã; int2 & fact5 -> int3: ãã®ãŽããŽã®Lv.93ã¯å€ãããããã¯ç解ãé£ãããããã¯ã©ã¡ããã§ãã; int3 & fact8 -> int4: ãã®ãŸãªãŸã®Lv.93ã¯è¿·ä¿¡æ·±ããªã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬({AA}x & {AB}x) fact2: ¬({AA}{aa} & {AB}{aa}) fact3: {C}{a} -> ¬{D}{b} fact4: (x): ¬({AA}x & ¬{AB}x) fact5: ¬{A}{aa} -> ({B}{a} v {C}{a}) fact6: ¬{D}{b} -> ¬(¬{E}{c} & ¬{F}{c}) fact7: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{A}{aa} fact8: ({B}{a} v {C}{a}) -> ¬{D}{b} ; $hypothesis$ = (¬{E}{c} & ¬{F}{c}) ; $proof$ = | fact4 -> int1: ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact7 -> int2: ¬{A}{aa}; int2 & fact5 -> int3: ({B}{a} v {C}{a}); int3 & fact8 -> int4: ¬{D}{b}; int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ãŽã«ããŽãLv.23ã¯æ°ä»ããæ·±ããªãããšããããšã¯ç¢ºãã ããšããããšã¯ééãã | ¬({F}{d} & ¬{E}{d}) | fact1: ä»®ã«ããã®ãŽã«ããŽãLv.23ã¯å¿ããããšããããšã¯æãç«ã€ãšãããšãã®ãŽã«ããŽãLv.23ã¯å©çšããæã fact2: ãã®ã·ãã·ãLv.8ã¯å¿çŽ°ãããŸãã¯ããã¯åŸãæãããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã fact3: ããããã®ã¿ãã¿ãLv.91ã¯å³å€ªããªããšããã°ãããã®ãŸã«ããŸã®Lv.82ã¯å³å€ªããªããããããããŒããªãããšããããšã¯æãç«ããªãããšããããšã¯çå®ã§ãã fact4: ãã®ã·ãã·ãLv.8ãå¿çŽ°ãããããã¯åŸãæããªããªããã®ã¿ãã¿ãLv.91ã¯å³å€ªããšããããšã¯ãªã fact5: ãã®ãŽã«ããŽãLv.23ãå©çšããæããªãã°ãã®ãŽã«ããŽãLv.23ã¯æ°ä»ããã©æ·±ããšããããšã¯ãªã fact6: ä»®ã«ããã®ãŸã«ããŸã®Lv.82ã¯å³å€ªããšããããšã¯ãªããããã¯ãããŒããªãããšããããšã¯ç¢ºãã§ãªããšããããã®ãŽã«ããŽãLv.23ã¯å¿ãã | fact1: {A}{d} -> {D}{d} fact2: ({AA}{a} v ¬{AB}{a}) fact3: ¬{B}{b} -> ¬(¬{B}{c} & ¬{C}{c}) fact4: ({AA}{a} v ¬{AB}{a}) -> ¬{B}{b} fact5: {D}{d} -> ({F}{d} & ¬{E}{d}) fact6: ¬(¬{B}{c} & ¬{C}{c}) -> {A}{d} | [
"fact4 & fact2 -> int1: ãã®ã¿ãã¿ãLv.91ã¯å³å€ªããªã; int1 & fact3 -> int2: ããã®ãŸã«ããŸã®Lv.82ã¯å³å€ªããªããŠãã€ããã¯ãããŒããªãããšããããšã¯çå®ã§ãªã; int2 & fact6 -> int3: ãã®ãŽã«ããŽãLv.23ã¯å¿ãã; int3 & fact1 -> int4: ãã®ãŽã«ããŽãLv.23ã¯å©çšããæã; int4 & fact5 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: ¬{B}{b}; int1 & fact3 -> int2: ¬(¬{B}{c} & ¬{C}{c}); int2 & fact6 -> int3: {A}{d}; int3 & fact1 -> int4: {D}{d}; int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ããã®ãŽã«ããŽãLv.23ã¯å¿ããããšããããšã¯æãç«ã€ãšãããšãã®ãŽã«ããŽãLv.23ã¯å©çšããæã fact2: ãã®ã·ãã·ãLv.8ã¯å¿çŽ°ãããŸãã¯ããã¯åŸãæãããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã fact3: ããããã®ã¿ãã¿ãLv.91ã¯å³å€ªããªããšããã°ãããã®ãŸã«ããŸã®Lv.82ã¯å³å€ªããªããããããããŒããªãããšããããšã¯æãç«ããªãããšããããšã¯çå®ã§ãã fact4: ãã®ã·ãã·ãLv.8ãå¿çŽ°ãããããã¯åŸãæããªããªããã®ã¿ãã¿ãLv.91ã¯å³å€ªããšããããšã¯ãªã fact5: ãã®ãŽã«ããŽãLv.23ãå©çšããæããªãã°ãã®ãŽã«ããŽãLv.23ã¯æ°ä»ããã©æ·±ããšããããšã¯ãªã fact6: ä»®ã«ããã®ãŸã«ããŸã®Lv.82ã¯å³å€ªããšããããšã¯ãªããããã¯ãããŒããªãããšããããšã¯ç¢ºãã§ãªããšããããã®ãŽã«ããŽãLv.23ã¯å¿ãã ; $hypothesis$ = ãããã®ãŽã«ããŽãLv.23ã¯æ°ä»ããæ·±ããªãããšããããšã¯ç¢ºãã ããšããããšã¯ééãã ; $proof$ = | fact4 & fact2 -> int1: ãã®ã¿ãã¿ãLv.91ã¯å³å€ªããªã; int1 & fact3 -> int2: ããã®ãŸã«ããŸã®Lv.82ã¯å³å€ªããªããŠãã€ããã¯ãããŒããªãããšããããšã¯çå®ã§ãªã; int2 & fact6 -> int3: ãã®ãŽã«ããŽãLv.23ã¯å¿ãã; int3 & fact1 -> int4: ãã®ãŽã«ããŽãLv.23ã¯å©çšããæã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{d} -> {D}{d} fact2: ({AA}{a} v ¬{AB}{a}) fact3: ¬{B}{b} -> ¬(¬{B}{c} & ¬{C}{c}) fact4: ({AA}{a} v ¬{AB}{a}) -> ¬{B}{b} fact5: {D}{d} -> ({F}{d} & ¬{E}{d}) fact6: ¬(¬{B}{c} & ¬{C}{c}) -> {A}{d} ; $hypothesis$ = ¬({F}{d} & ¬{E}{d}) ; $proof$ = | fact4 & fact2 -> int1: ¬{B}{b}; int1 & fact3 -> int2: ¬(¬{B}{c} & ¬{C}{c}); int2 & fact6 -> int3: {A}{d}; int3 & fact1 -> int4: {D}{d}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.1ã¯æŒãæããªã | ¬{D}{b} | fact1: ããä»®ã«ãã®ã·ã«ã·ãªLv.18ã¯ã现ããšããããããã¯é¢å©åºæ¥ãããšããããšã¯åã ãšããããšã¯ãªã fact2: ãåºããæããŠããŸãã«é¢å©åºæ¥ããã¢ã³ã¹ã¿ãŒãããã°ãã®ãŽããŽãLv.1ã¯æŒãæããªã fact3: ããã®ã·ã«ã·ãªLv.18ã¯é¢çœããªãäžæ¹ã§ããã¯é£æ³ãæãããšããããšã¯æãç«ããªã fact4: ããã®ã·ã«ã·ãªLv.18ã¯é¢çœããªããããã¯é£æ³ãæããªãããšããããšã¯èª€ã£ãŠãã fact5: ãã®ã·ã«ã·ãªLv.18ã¯åºããæã fact6: ããã®ã·ã«ã·ãªLv.18ã¯é¢çœããªããŠããŸãã«é£æ³ãæããªãããšããããšã¯æãç«ããªããšãããšãã®ã·ã«ã·ãªLv.18ã¯ã现ã | fact1: {B}{a} -> {A}{a} fact2: (x): ({C}x & {A}x) -> ¬{D}{b} fact3: ¬(¬{AA}{a} & {AB}{a}) fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: {C}{a} fact6: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} | [
"fact6 & fact4 -> int1: ãã®ã·ã«ã·ãªLv.18ã¯ã现ã; int1 & fact1 -> int2: ããã®ã·ã«ã·ãªLv.18ã¯é¢å©åºæ¥ãããšããããšã¯äºå®ãšç°ãªããªã; int2 & fact5 -> int3: ãã®ã·ã«ã·ãªLv.18ã¯åºããæããŠå ããŠé¢å©åºæ¥ã; int3 -> int4: ãåºããæããé¢å©åºæ¥ããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact2 -> hypothesis;"
] | [
"fact6 & fact4 -> int1: {B}{a}; int1 & fact1 -> int2: {A}{a}; int2 & fact5 -> int3: ({C}{a} & {A}{a}); int3 -> int4: (Ex): ({C}x & {A}x); int4 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ã·ã«ã·ãªLv.18ã¯ã现ããšããããããã¯é¢å©åºæ¥ãããšããããšã¯åã ãšããããšã¯ãªã fact2: ãåºããæããŠããŸãã«é¢å©åºæ¥ããã¢ã³ã¹ã¿ãŒãããã°ãã®ãŽããŽãLv.1ã¯æŒãæããªã fact3: ããã®ã·ã«ã·ãªLv.18ã¯é¢çœããªãäžæ¹ã§ããã¯é£æ³ãæãããšããããšã¯æãç«ããªã fact4: ããã®ã·ã«ã·ãªLv.18ã¯é¢çœããªããããã¯é£æ³ãæããªãããšããããšã¯èª€ã£ãŠãã fact5: ãã®ã·ã«ã·ãªLv.18ã¯åºããæã fact6: ããã®ã·ã«ã·ãªLv.18ã¯é¢çœããªããŠããŸãã«é£æ³ãæããªãããšããããšã¯æãç«ããªããšãããšãã®ã·ã«ã·ãªLv.18ã¯ã现ã ; $hypothesis$ = ãã®ãŽããŽãLv.1ã¯æŒãæããªã ; $proof$ = | fact6 & fact4 -> int1: ãã®ã·ã«ã·ãªLv.18ã¯ã现ã; int1 & fact1 -> int2: ããã®ã·ã«ã·ãªLv.18ã¯é¢å©åºæ¥ãããšããããšã¯äºå®ãšç°ãªããªã; int2 & fact5 -> int3: ãã®ã·ã«ã·ãªLv.18ã¯åºããæããŠå ããŠé¢å©åºæ¥ã; int3 -> int4: ãåºããæããé¢å©åºæ¥ããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {A}{a} fact2: (x): ({C}x & {A}x) -> ¬{D}{b} fact3: ¬(¬{AA}{a} & {AB}{a}) fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: {C}{a} fact6: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact6 & fact4 -> int1: {B}{a}; int1 & fact1 -> int2: {A}{a}; int2 & fact5 -> int3: ({C}{a} & {A}{a}); int3 -> int4: (Ex): ({C}x & {A}x); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã«ã
ãœãLv.45ã¯æãæããªã | ¬{C}{b} | fact1: ãã®ãœããœã®Lv.1ã¯åã³é£ã fact2: ããã®ãœã«ã
ãœãLv.45ã¯åã³é£ãããšããããšã¯æãç«ããªã fact3: ãã®ãœããœã®Lv.1ã¯æãæã fact4: ãã®ãœããœã®Lv.1ãåã³é£ããšããããšã¯ãªãããã©æãæããšãããšãã®ãŽããŽãLv.53ã¯åã³é£ããªã fact5: ããã®ãœããœã®Lv.1ã¯å®ããŠåã³é£ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact6: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åã³é£ããªããªãã°ãããã¯æ°ä»ãé£ããŠå ããŠããã¯å®ããªãããšããããšã¯æãç«ããªã | fact1: {B}{a} fact2: ¬{B}{b} fact3: {C}{a} fact4: (¬{B}{a} & {C}{a}) -> ¬{B}{ep} fact5: ¬({A}{a} & {B}{a}) fact6: (x): ¬{B}x -> ¬({FQ}x & ¬{A}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœã®Lv.1ã¯å®ãããããããã¯åã³é£ããªã; assump1 -> int1: ããã®ãœããœã®Lv.1ã¯åã³é£ããªãããšããããšã¯æ¬åœã ; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœããœã®Lv.1ã¯å®ãäžæ¹ã§åã³é£ããªãããšããããšã¯äºå®ãšç°ãªã;"
] | [
"void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬({A}{a} & ¬{B}{a});"
] | ããã®ãŽããŽãLv.53ã¯æ°ä»ãé£ããããã¯å®ããªãããšããããšã¯æ£ãããªã | ¬({FQ}{ep} & ¬{A}{ep}) | [
"fact7 -> int4: ããããã®ãŽããŽãLv.53ã¯åã³é£ããªããšããã°ããã®ãŽããŽãLv.53ã¯æ°ä»ãé£ããã©ããã¯å®ããšããããšã¯ãªãããšããããšã¯æãç«ããªã;"
] | 5 | 5 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœããœã®Lv.1ã¯åã³é£ã fact2: ããã®ãœã«ã
ãœãLv.45ã¯åã³é£ãããšããããšã¯æãç«ããªã fact3: ãã®ãœããœã®Lv.1ã¯æãæã fact4: ãã®ãœããœã®Lv.1ãåã³é£ããšããããšã¯ãªãããã©æãæããšãããšãã®ãŽããŽãLv.53ã¯åã³é£ããªã fact5: ããã®ãœããœã®Lv.1ã¯å®ããŠåã³é£ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact6: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åã³é£ããªããªãã°ãããã¯æ°ä»ãé£ããŠå ããŠããã¯å®ããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãœã«ã
ãœãLv.45ã¯æãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: ¬{B}{b} fact3: {C}{a} fact4: (¬{B}{a} & {C}{a}) -> ¬{B}{ep} fact5: ¬({A}{a} & {B}{a}) fact6: (x): ¬{B}x -> ¬({FQ}x & ¬{A}x) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | çŸå³ãããšããããšã¯çºçããªã | ¬{C} | fact1: ããœãªãœã«ãLv.43äºä»¶ã¯çããªãããšããããšã¯æ¬åœã§ãã fact2: ã¿ãã¿ã¡ã
Lv.33äºä»¶ã¯èµ·ããªã fact3: çŸãããšããããšããããã¯ãœãªãœã«ãLv.43äºä»¶ãäž¡æ¹ãšãã¯ãœããœãLv.40äºä»¶ã¯çããªããšããããšã«ããçãã fact4: çŸãããšããããšã¯çºçããªã | fact1: ¬{A} fact2: ¬{GT} fact3: ¬{D} -> ({B} v {A}) fact4: ¬{B} | [
"fact1 & fact4 -> int1: ãœãªãœã«ãLv.43äºä»¶ã¯çºçããªããŠçŸãããšããããšã¯çããªã;"
] | [
"fact1 & fact4 -> int1: (¬{A} & ¬{B});"
] | çŸå³ãããšããããšãèµ·ãã | {C} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããœãªãœã«ãLv.43äºä»¶ã¯çããªãããšããããšã¯æ¬åœã§ãã fact2: ã¿ãã¿ã¡ã
Lv.33äºä»¶ã¯èµ·ããªã fact3: çŸãããšããããšããããã¯ãœãªãœã«ãLv.43äºä»¶ãäž¡æ¹ãšãã¯ãœããœãLv.40äºä»¶ã¯çããªããšããããšã«ããçãã fact4: çŸãããšããããšã¯çºçããªã ; $hypothesis$ = çŸå³ãããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} fact2: ¬{GT} fact3: ¬{D} -> ({B} v {A}) fact4: ¬{B} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãã®ããLv.56ã¯ç§»åãæããšããããšã¯ãªããã©ããã¯åçºãæãããšããããšã¯æãç«ããªã | ¬(¬{F}{b} & {E}{b}) | fact1: ãã®ãã®ããLv.56ãèã£ãºãããšããã°ããã¯åçºãæã fact2: ãã®ãŸããŸãLv.68ã¯åŸ¡æªããããã¯çœ®ãéãã fact3: ããããã®ãŸããŸãLv.68ã眮ãéããªãããããã¯ããã埡æªããªããäž¡æ¹ã§ãããšãããšãã®ãŸããŸãLv.68ã¯æµãå»ã fact4: ãã®ãŸããŸãLv.68ã¯åŸ¡æªã fact5: ãã®ãã®ããLv.56ã¯ç§»åãæããªã fact6: ããä»®ã«ããã®ãã®ããLv.56ã¯æµãå»ãããšããããšã¯åã§ãããšããããšã¯ãªããªãã°ãã®ãã®ããLv.56ã¯èã£ãºãã fact7: ãããã®ãŸããŸãLv.68ã眮ãéãããšãããšãã®ãã®ããLv.56ã¯æµãå»ã | fact1: {D}{b} -> {E}{b} fact2: ({A}{a} & {B}{a}) fact3: (¬{B}{a} v ¬{A}{a}) -> {C}{a} fact4: {A}{a} fact5: ¬{F}{b} fact6: {C}{b} -> {D}{b} fact7: {B}{a} -> {C}{b} | [
"fact2 -> int1: ãã®ãŸããŸãLv.68ã¯çœ®ãéãã; int1 & fact7 -> int2: ãã®ãã®ããLv.56ã¯æµãå»ã; int2 & fact6 -> int3: ãã®ãã®ããLv.56ã¯èã£ãºãã; int3 & fact1 -> int4: ãã®ãã®ããLv.56ã¯åçºãæã; int4 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact6 -> int3: {D}{b}; int3 & fact1 -> int4: {E}{b}; int4 & fact5 -> hypothesis;"
] | ãã®ãŸããŸãLv.68ã¯æµãå»ã | {C}{a} | [] | 5 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãã®ããLv.56ãèã£ãºãããšããã°ããã¯åçºãæã fact2: ãã®ãŸããŸãLv.68ã¯åŸ¡æªããããã¯çœ®ãéãã fact3: ããããã®ãŸããŸãLv.68ã眮ãéããªãããããã¯ããã埡æªããªããäž¡æ¹ã§ãããšãããšãã®ãŸããŸãLv.68ã¯æµãå»ã fact4: ãã®ãŸããŸãLv.68ã¯åŸ¡æªã fact5: ãã®ãã®ããLv.56ã¯ç§»åãæããªã fact6: ããä»®ã«ããã®ãã®ããLv.56ã¯æµãå»ãããšããããšã¯åã§ãããšããããšã¯ãªããªãã°ãã®ãã®ããLv.56ã¯èã£ãºãã fact7: ãããã®ãŸããŸãLv.68ã眮ãéãããšãããšãã®ãã®ããLv.56ã¯æµãå»ã ; $hypothesis$ = ããã®ãã®ããLv.56ã¯ç§»åãæããšããããšã¯ãªããã©ããã¯åçºãæãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ãã®ãŸããŸãLv.68ã¯çœ®ãéãã; int1 & fact7 -> int2: ãã®ãã®ããLv.56ã¯æµãå»ã; int2 & fact6 -> int3: ãã®ãã®ããLv.56ã¯èã£ãºãã; int3 & fact1 -> int4: ãã®ãã®ããLv.56ã¯åçºãæã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{b} -> {E}{b} fact2: ({A}{a} & {B}{a}) fact3: (¬{B}{a} v ¬{A}{a}) -> {C}{a} fact4: {A}{a} fact5: ¬{F}{b} fact6: {C}{b} -> {D}{b} fact7: {B}{a} -> {C}{b} ; $hypothesis$ = ¬(¬{F}{b} & {E}{b}) ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact6 -> int3: {D}{b}; int3 & fact1 -> int4: {E}{b}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.60ã¯æ¢ãã©ç¡ããŠããã«æãã | ({D}{c} & {C}{c}) | fact1: ããã®ã·ã¡ã
ã·ãªLv.99ã¯æŒãç¡ããªããŠãã€ããã¯ãããªããªãããšããããšã¯ééãã§ãã fact2: ãããããæŒãç¡ããªããããããããªããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒããããšããããã®ãœããœãLv.18ã¯é»è²ã fact3: ãã®ãœããœãLv.18ãæ¯æ·±ããŠããŸãã«é»è²ããªãã°ãã®ãã®ãã¡ã
Lv.92ã¯æãããªã fact4: ãã®ãœããœãLv.18ã¯æ¯æ·±ã fact5: ããããã®ãã®ãã¡ã
Lv.92ã¯æãããªããªãããã®ãŸããŸãLv.60ã¯æ¢ãã©ç¡ããããã¯æããããšããããšã¯äºå®ãšç°ãªã | fact1: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> {A}{a} fact3: ({B}{a} & {A}{a}) -> ¬{C}{b} fact4: {B}{a} fact5: ¬{C}{b} -> ¬({D}{c} & {C}{c}) | [
"fact1 -> int1: ããæŒãç¡ããªããŠãããªããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> int2: ãã®ãœããœãLv.18ã¯é»è²ã; int2 & fact4 -> int3: ãã®ãœããœãLv.18ã¯æ¯æ·±ããããŸãã«é»è²ã; int3 & fact3 -> int4: ãã®ãã®ãã¡ã
Lv.92ã¯æãããšããããšã¯ãªã; int4 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: (Ex): ¬(¬{AA}x & ¬{AB}x); int1 & fact2 -> int2: {A}{a}; int2 & fact4 -> int3: ({B}{a} & {A}{a}); int3 & fact3 -> int4: ¬{C}{b}; int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ã·ã¡ã
ã·ãªLv.99ã¯æŒãç¡ããªããŠãã€ããã¯ãããªããªãããšããããšã¯ééãã§ãã fact2: ãããããæŒãç¡ããªããããããããªããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããã¢ã³ã¹ã¿ãŒããããšããããã®ãœããœãLv.18ã¯é»è²ã fact3: ãã®ãœããœãLv.18ãæ¯æ·±ããŠããŸãã«é»è²ããªãã°ãã®ãã®ãã¡ã
Lv.92ã¯æãããªã fact4: ãã®ãœããœãLv.18ã¯æ¯æ·±ã fact5: ããããã®ãã®ãã¡ã
Lv.92ã¯æãããªããªãããã®ãŸããŸãLv.60ã¯æ¢ãã©ç¡ããããã¯æããããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ãã®ãŸããŸãLv.60ã¯æ¢ãã©ç¡ããŠããã«æãã ; $proof$ = | fact1 -> int1: ããæŒãç¡ããªããŠãããªããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact2 -> int2: ãã®ãœããœãLv.18ã¯é»è²ã; int2 & fact4 -> int3: ãã®ãœããœãLv.18ã¯æ¯æ·±ããããŸãã«é»è²ã; int3 & fact3 -> int4: ãã®ãã®ãã¡ã
Lv.92ã¯æãããšããããšã¯ãªã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> {A}{a} fact3: ({B}{a} & {A}{a}) -> ¬{C}{b} fact4: {B}{a} fact5: ¬{C}{b} -> ¬({D}{c} & {C}{c}) ; $hypothesis$ = ({D}{c} & {C}{c}) ; $proof$ = | fact1 -> int1: (Ex): ¬(¬{AA}x & ¬{AB}x); int1 & fact2 -> int2: {A}{a}; int2 & fact4 -> int3: ({B}{a} & {A}{a}); int3 & fact3 -> int4: ¬{C}{b}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ããã«Lv.3ã¯é»æããªããããã«åºæããªã | (¬{B}{aa} & ¬{C}{aa}) | fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãçå€ããªããšãããããã¯éé£ãããªãããŸãéããªã fact2: ãã®ã·ã®ã·ãLv.24ã¯çå€ããšããã°ããã®ãã«ããã«Lv.3ã¯é»æããªããããã¯åºæããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact3: ãã®ãã«ããã«Lv.3ã¯çå€ããªã fact4: ãã®ãã«ããã«Lv.3ãéé£ãããªããŠæŽã«éããªããšããããã®ãã«ããã«Lv.3ã¯é»æããªã fact5: ãã®ãã«ããã«Lv.3ã¯åºæããªã | fact1: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact2: {A}{a} -> ¬(¬{B}{aa} & ¬{C}{aa}) fact3: ¬{A}{aa} fact4: (¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact5: ¬{C}{aa} | [
"fact1 -> int1: ãããã®ãã«ããã«Lv.3ãçå€ããªããšããã°ãã®ãã«ããã«Lv.3ã¯éé£ãããªããŠéããªã; int1 & fact3 -> int2: ãã®ãã«ããã«Lv.3ã¯éé£ãããªãããããéããªã; int2 & fact4 -> int3: ãã®ãã«ããã«Lv.3ã¯é»æããªã; int3 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> int2: (¬{AA}{aa} & ¬{AB}{aa}); int2 & fact4 -> int3: ¬{B}{aa}; int3 & fact5 -> hypothesis;"
] | ããã®ãã«ããã«Lv.3ã¯é»æããªãããããããã¯åºæããªãããšããããšã¯æãç«ããªã | ¬(¬{B}{aa} & ¬{C}{aa}) | [] | 5 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãªãããã®ã¢ã³ã¹ã¿ãŒãçå€ããªããšãããããã¯éé£ãããªãããŸãéããªã fact2: ãã®ã·ã®ã·ãLv.24ã¯çå€ããšããã°ããã®ãã«ããã«Lv.3ã¯é»æããªããããã¯åºæããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã fact3: ãã®ãã«ããã«Lv.3ã¯çå€ããªã fact4: ãã®ãã«ããã«Lv.3ãéé£ãããªããŠæŽã«éããªããšããããã®ãã«ããã«Lv.3ã¯é»æããªã fact5: ãã®ãã«ããã«Lv.3ã¯åºæããªã ; $hypothesis$ = ãã®ãã«ããã«Lv.3ã¯é»æããªããããã«åºæããªã ; $proof$ = | fact1 -> int1: ãããã®ãã«ããã«Lv.3ãçå€ããªããšããã°ãã®ãã«ããã«Lv.3ã¯éé£ãããªããŠéããªã; int1 & fact3 -> int2: ãã®ãã«ããã«Lv.3ã¯éé£ãããªãããããéããªã; int2 & fact4 -> int3: ãã®ãã«ããã«Lv.3ã¯é»æããªã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact2: {A}{a} -> ¬(¬{B}{aa} & ¬{C}{aa}) fact3: ¬{A}{aa} fact4: (¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact5: ¬{C}{aa} ; $hypothesis$ = (¬{B}{aa} & ¬{C}{aa}) ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> int2: (¬{AA}{aa} & ¬{AB}{aa}); int2 & fact4 -> int3: ¬{B}{aa}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.93ã¯äœåç¡ã | {D}{e} | fact1: ããã®ã·ãã·ã«ã
Lv.40ã¯è©³ãããšããããšã¯ãªãããããã¯å
·æããªãããããã¯äž¡æ¹ã ããšããããšã¯åœã§ãã fact2: ãã®ã·ãã·ãLv.60ããã£ããããšãããšãã®ã·ãã·ã®Lv.39ã¯å€ãé£ããªããæŽã«ãã£ããããªã fact3: ããããã®ã·ãã·ã«ã
Lv.40ãç滞ããŸãããªããšããããã®ãŽã®ãŽãLv.96ã¯åããªãããããã¯ç滞ããŸããããããã¯äž¡æ¹ãšãã fact4: ããããã®ã·ãã·ã®Lv.39ãå€ãé£ããšããããšã¯ãªãããŸããã£ããããªããªãã°ãã®ãŽããŽãLv.93ã¯äœåç¡ã fact5: ãã®ãŽã®ãŽãLv.96ãåããªãããããã¯ç滞ããŸãããšããããã®ã·ãã·ãLv.60ã¯ãã£ããã fact6: ããã®ã·ãã·ã«ã
Lv.40ã¯è©³ãããªãããããã¯å
·æããªããäž¡æ¹ãšãã ããšããããšã¯åã§ãããªãã°ãã®ã·ãã·ã«ã
Lv.40ã¯ç滞ããŸãããªã | fact1: ¬(¬{AA}{a} v ¬{AB}{a}) fact2: {A}{c} -> (¬{E}{d} & ¬{A}{d}) fact3: ¬{B}{a} -> (¬{C}{b} v {B}{b}) fact4: (¬{E}{d} & ¬{A}{d}) -> {D}{e} fact5: (¬{C}{b} v {B}{b}) -> {A}{c} fact6: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} | [
"fact6 & fact1 -> int1: ãã®ã·ãã·ã«ã
Lv.40ã¯ç滞ããŸãããªã; int1 & fact3 -> int2: ããã®ãŽã®ãŽãLv.96ã¯åããªããç滞ããŸãããäž¡æ¹ã ããšããããšã¯äºå®ã§ãã; int2 & fact5 -> int3: ãã®ã·ãã·ãLv.60ã¯ãã£ããã; int3 & fact2 -> int4: ãã®ã·ãã·ã®Lv.39ã¯å€ãé£ããªããŠããã¯ãã£ããããªã; int4 & fact4 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: ¬{B}{a}; int1 & fact3 -> int2: (¬{C}{b} v {B}{b}); int2 & fact5 -> int3: {A}{c}; int3 & fact2 -> int4: (¬{E}{d} & ¬{A}{d}); int4 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ã·ãã·ã«ã
Lv.40ã¯è©³ãããšããããšã¯ãªãããããã¯å
·æããªãããããã¯äž¡æ¹ã ããšããããšã¯åœã§ãã fact2: ãã®ã·ãã·ãLv.60ããã£ããããšãããšãã®ã·ãã·ã®Lv.39ã¯å€ãé£ããªããæŽã«ãã£ããããªã fact3: ããããã®ã·ãã·ã«ã
Lv.40ãç滞ããŸãããªããšããããã®ãŽã®ãŽãLv.96ã¯åããªãããããã¯ç滞ããŸããããããã¯äž¡æ¹ãšãã fact4: ããããã®ã·ãã·ã®Lv.39ãå€ãé£ããšããããšã¯ãªãããŸããã£ããããªããªãã°ãã®ãŽããŽãLv.93ã¯äœåç¡ã fact5: ãã®ãŽã®ãŽãLv.96ãåããªãããããã¯ç滞ããŸãããšããããã®ã·ãã·ãLv.60ã¯ãã£ããã fact6: ããã®ã·ãã·ã«ã
Lv.40ã¯è©³ãããªãããããã¯å
·æããªããäž¡æ¹ãšãã ããšããããšã¯åã§ãããªãã°ãã®ã·ãã·ã«ã
Lv.40ã¯ç滞ããŸãããªã ; $hypothesis$ = ãã®ãŽããŽãLv.93ã¯äœåç¡ã ; $proof$ = | fact6 & fact1 -> int1: ãã®ã·ãã·ã«ã
Lv.40ã¯ç滞ããŸãããªã; int1 & fact3 -> int2: ããã®ãŽã®ãŽãLv.96ã¯åããªããç滞ããŸãããäž¡æ¹ã ããšããããšã¯äºå®ã§ãã; int2 & fact5 -> int3: ãã®ã·ãã·ãLv.60ã¯ãã£ããã; int3 & fact2 -> int4: ãã®ã·ãã·ã®Lv.39ã¯å€ãé£ããªããŠããã¯ãã£ããããªã; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{a} v ¬{AB}{a}) fact2: {A}{c} -> (¬{E}{d} & ¬{A}{d}) fact3: ¬{B}{a} -> (¬{C}{b} v {B}{b}) fact4: (¬{E}{d} & ¬{A}{d}) -> {D}{e} fact5: (¬{C}{b} v {B}{b}) -> {A}{c} fact6: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} ; $hypothesis$ = {D}{e} ; $proof$ = | fact6 & fact1 -> int1: ¬{B}{a}; int1 & fact3 -> int2: (¬{C}{b} v {B}{b}); int2 & fact5 -> int3: {A}{c}; int3 & fact2 -> int4: (¬{E}{d} & ¬{A}{d}); int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã¿ã«ã
ã¿ãLv.34äºä»¶ãèµ·ãããããããœããœã«ãLv.69äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã§ãªã | ¬({AA} & ¬{AB}) | fact1: å察åºæ¥ãããšã¯èµ·ããªãäžæ¹ã§ãŸããŸãLv.33äºä»¶ãèµ·ãã fact2: ãããããã«ããã®Lv.61äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãªããæ¥ãããšãšèäœããããšã©ã¡ãããçºçããããšããããšã¯æãç«ããªã fact3: ãã¿ã«ã
ã¿ãLv.34äºä»¶ãçããäžæ¹ã§ãœããœã«ãLv.69äºä»¶ã¯èµ·ããªãããšããããšã¯ããŸããŸãLv.33äºä»¶ã¯èµ·ããªãããšããããšãå¥æ©ã fact4: çãŒããšããããšã¯ãã¿ã«ã
ã¿ãLv.34äºä»¶ãçããããœããœã«ãLv.69äºä»¶ã¯èµ·ãããªãããšããããšã«é²ããã fact5: ãã·ãã·ã¡ãLv.15äºä»¶ãèµ·ããããŸããŸã®Lv.92äºä»¶ã¯èµ·ãããªãããšããããšã¯èª€ãã§ãã fact6: ãçšãæããšããããšãèµ·ãããå°åºããããšã¯çããªãããšããããšã¯ãçŠãã£ãããšããããšã¯çããªãããšããããšãåŒãèµ·ãã | fact1: (¬{C} & {A}) fact2: ¬{AH} -> ¬({F} & {FR}) fact3: ¬{A} -> ({AA} & ¬{AB}) fact4: ({AA} & ¬{AB}) -> ¬{B} fact5: ¬({BT} & ¬{J}) fact6: ({JE} & ¬{AE}) -> ¬{JD} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.34äºä»¶ãçããäžæ¹ã§ãœããœã«ãLv.69äºä»¶ã¯çããªã; fact4 & assump1 -> int1: ãçãŒããšããããšã¯èµ·ããªãããšããããšã¯æ¬åœã ;"
] | [
"void -> assump1: ({AA} & ¬{AB}); fact4 & assump1 -> int1: ¬{B};"
] | 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.34äºä»¶ãçããäžæ¹ã§ãœããœã«ãLv.69äºä»¶ã¯çããªã | ({AA} & ¬{AB}) | [] | 6 | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: å察åºæ¥ãããšã¯èµ·ããªãäžæ¹ã§ãŸããŸãLv.33äºä»¶ãèµ·ãã fact2: ãããããã«ããã®Lv.61äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãªããæ¥ãããšãšèäœããããšã©ã¡ãããçºçããããšããããšã¯æãç«ããªã fact3: ãã¿ã«ã
ã¿ãLv.34äºä»¶ãçããäžæ¹ã§ãœããœã«ãLv.69äºä»¶ã¯èµ·ããªãããšããããšã¯ããŸããŸãLv.33äºä»¶ã¯èµ·ããªãããšããããšãå¥æ©ã fact4: çãŒããšããããšã¯ãã¿ã«ã
ã¿ãLv.34äºä»¶ãçããããœããœã«ãLv.69äºä»¶ã¯èµ·ãããªãããšããããšã«é²ããã fact5: ãã·ãã·ã¡ãLv.15äºä»¶ãèµ·ããããŸããŸã®Lv.92äºä»¶ã¯èµ·ãããªãããšããããšã¯èª€ãã§ãã fact6: ãçšãæããšããããšãèµ·ãããå°åºããããšã¯çããªãããšããããšã¯ãçŠãã£ãããšããããšã¯çããªãããšããããšãåŒãèµ·ãã ; $hypothesis$ = ãã¿ã«ã
ã¿ãLv.34äºä»¶ãèµ·ãããããããœããœã«ãLv.69äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{C} & {A}) fact2: ¬{AH} -> ¬({F} & {FR}) fact3: ¬{A} -> ({AA} & ¬{AB}) fact4: ({AA} & ¬{AB}) -> ¬{B} fact5: ¬({BT} & ¬{J}) fact6: ({JE} & ¬{AE}) -> ¬{JD} ; $hypothesis$ = ¬({AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããèŸæ°èããªãã°åŸãæãããŸãå·ãããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééã£ãŠãã | ¬((Ex): {A}x -> ({AA}x & ¬{AB}x)) | fact1: ä»®ã«ãã®ã¿ãªã¿ãªLv.47ãèŸæ°èããšããã°ãã®ã¿ãªã¿ãªLv.47ã¯åŸãæãäžæ¹ã§å·ãããªã fact2: 倧人ã£ãœãã¢ã³ã¹ã¿ãŒã¯ä»äºããããè²ããªã | fact1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}) fact2: (x): {FD}x -> ({DK}x & ¬{DH}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ã倧人ã£ãœããšããã°ä»äºããããæŽã«è²ããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {FD}x -> ({DK}x & ¬{DH}x) | [
"fact3 -> int1: ããä»®ã«ãã®ãŽã«ããŽãªLv.36ã倧人ã£ãœããšãããšãã®ãŽã«ããŽãªLv.36ã¯ä»äºããããã©è²ããªã; int1 -> hypothesis;"
] | 2 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ä»®ã«ãã®ã¿ãªã¿ãªLv.47ãèŸæ°èããšããã°ãã®ã¿ãªã¿ãªLv.47ã¯åŸãæãäžæ¹ã§å·ãããªã fact2: 倧人ã£ãœãã¢ã³ã¹ã¿ãŒã¯ä»äºããããè²ããªã ; $hypothesis$ = ããèŸæ°èããªãã°åŸãæãããŸãå·ãããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}) fact2: (x): {FD}x -> ({DK}x & ¬{DH}x) ; $hypothesis$ = ¬((Ex): {A}x -> ({AA}x & ¬{AB}x)) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | æå°ããããšããã¡ã
ããLv.34äºä»¶ãçºçãããšããããšã¯ãã£ããã | {A} -> {C} | fact1: èå¯ããšããããšã¯ãæå°ããããšã¯çºçããªãããšããããšãé²ã fact2: èå¯ããšããããšã¯èµ·ãããªããšããããšã¯ãç®æããšããããšããã³ãã¡ã
ããLv.34äºä»¶ãèµ·ããããšããããšã«åž°çµãã fact3: ãã¡ã
ããLv.34äºä»¶ã¯èå¯ããšããããšãçºçããã fact4: ãèå¯ããšããããšã¯çºçããªãããŸãæå°ããããšã¯èµ·ãããªãããšããããšã¯ãã«ã
ããLv.6äºä»¶ã«åŒãèµ·ãããã fact5: ããããLv.62äºä»¶ã¯ä»®æ³ããããšã«ç¹ãã fact6: ãŽã¡ããŽãLv.45äºä»¶ã埡æãã«æãããšã¯å¥æ©ã | fact1: {B} -> {C} fact2: ¬{B} -> ({GO} & {A}) fact3: {A} -> {B} fact4: {D} -> (¬{B} & ¬{C}) fact5: {JJ} -> {JK} fact6: {GD} -> {GG} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã¡ã
ããLv.34äºä»¶ãçãã; fact3 & assump1 -> int1: èå¯ããšããããšãèµ·ãã; int1 & fact1 -> int2: æå°ããããšãçãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact3 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; [assump1] & int2 -> hypothesis;"
] | ãç®æããšããããšãçºçããããšããããšã¯æãç«ã€ | {GO} | [] | 7 | 4 | 3 | 4 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: èå¯ããšããããšã¯ãæå°ããããšã¯çºçããªãããšããããšãé²ã fact2: èå¯ããšããããšã¯èµ·ãããªããšããããšã¯ãç®æããšããããšããã³ãã¡ã
ããLv.34äºä»¶ãèµ·ããããšããããšã«åž°çµãã fact3: ãã¡ã
ããLv.34äºä»¶ã¯èå¯ããšããããšãçºçããã fact4: ãèå¯ããšããããšã¯çºçããªãããŸãæå°ããããšã¯èµ·ãããªãããšããããšã¯ãã«ã
ããLv.6äºä»¶ã«åŒãèµ·ãããã fact5: ããããLv.62äºä»¶ã¯ä»®æ³ããããšã«ç¹ãã fact6: ãŽã¡ããŽãLv.45äºä»¶ã埡æãã«æãããšã¯å¥æ©ã ; $hypothesis$ = æå°ããããšããã¡ã
ããLv.34äºä»¶ãçºçãããšããããšã¯ãã£ããã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã¡ã
ããLv.34äºä»¶ãçãã; fact3 & assump1 -> int1: èå¯ããšããããšãèµ·ãã; int1 & fact1 -> int2: æå°ããããšãçãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: ¬{B} -> ({GO} & {A}) fact3: {A} -> {B} fact4: {D} -> (¬{B} & ¬{C}) fact5: {JJ} -> {JK} fact6: {GD} -> {GG} ; $hypothesis$ = {A} -> {C} ; $proof$ = | void -> assump1: {A}; fact3 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãã·ã«ãLv.85ã¯èã£ãœããªããŠç· ãã£ãœããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬(¬{C}{a} & ¬{A}{a}) | fact1: ããã®ã·ãã·ã«ãLv.85ã¯æ ¹æ°è¯ããªãããšããããšã¯æãç«ã€ fact2: ãã®ã·ãã·ã«ãLv.85ã¯ç· ãã£ãœããªã fact3: ãããããã®ã·ãã·ã«ãLv.85ã¯ç· ãã£ãœãäžæ¹ã§ããã¯æ ¹æ°è¯ããªãããšããããšã¯ééãã ãšãããšãã®ã¿ãã¿ãLv.80ã¯ãã°ããããªã fact4: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ ¹æ°è¯ããªãã°ãèã£ãœããªããŠããã«ç· ãã£ãœããªãããšããããšã¯ééã£ãŠãã fact5: ããåºããã¢ã³ã¹ã¿ãŒããã°ããããšãããšããã¯æ ¹æ°è¯ããªã fact6: ãã®ãããã«ãLv.66ã¯åºãããããã«ãã°ããã fact7: ãã®ã·ãã·ã«ãLv.85ããã°ããããŠæ ¹æ°è¯ããšããã°ãããã¯åºãããªãããšããããšã¯æ¬åœã fact8: ãã®ãŸããŸã«ã
Lv.90ã¯åºãã | fact1: ¬{B}{a} fact2: ¬{A}{a} fact3: ¬({A}{a} & ¬{B}{a}) -> ¬{AB}{ab} fact4: (x): {B}x -> ¬(¬{C}x & ¬{A}x) fact5: (x): ({AA}x & {AB}x) -> ¬{B}x fact6: ({AA}{aa} & {AB}{aa}) fact7: ({AB}{a} & {B}{a}) -> ¬{AA}{a} fact8: {AA}{ee} | [
"fact5 -> int1: ããããã®ãããã«ãLv.66ã¯åºããããã°ããããšããã°æ ¹æ°è¯ããªã; int1 & fact6 -> int2: ãã®ãããã«ãLv.66ã¯æ ¹æ°è¯ããªã;"
] | [
"fact5 -> int1: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact6 -> int2: ¬{B}{aa};"
] | ããã®ã·ãã·ã«ãLv.85ã¯èã£ãœããªããŠç· ãã£ãœããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬(¬{C}{a} & ¬{A}{a}) | [
"fact9 -> int3: ä»®ã«ãã®ã·ãã·ã«ãLv.85ã¯æ ¹æ°è¯ããšãããããã®ã·ãã·ã«ãLv.85ã¯èã£ãœããªããç· ãã£ãœããªãããšããããšã¯æãç«ããªã;"
] | 4 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã®ã·ãã·ã«ãLv.85ã¯æ ¹æ°è¯ããªãããšããããšã¯æãç«ã€ fact2: ãã®ã·ãã·ã«ãLv.85ã¯ç· ãã£ãœããªã fact3: ãããããã®ã·ãã·ã«ãLv.85ã¯ç· ãã£ãœãäžæ¹ã§ããã¯æ ¹æ°è¯ããªãããšããããšã¯ééãã ãšãããšãã®ã¿ãã¿ãLv.80ã¯ãã°ããããªã fact4: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ ¹æ°è¯ããªãã°ãèã£ãœããªããŠããã«ç· ãã£ãœããªãããšããããšã¯ééã£ãŠãã fact5: ããåºããã¢ã³ã¹ã¿ãŒããã°ããããšãããšããã¯æ ¹æ°è¯ããªã fact6: ãã®ãããã«ãLv.66ã¯åºãããããã«ãã°ããã fact7: ãã®ã·ãã·ã«ãLv.85ããã°ããããŠæ ¹æ°è¯ããšããã°ãããã¯åºãããªãããšããããšã¯æ¬åœã fact8: ãã®ãŸããŸã«ã
Lv.90ã¯åºãã ; $hypothesis$ = ããã®ã·ãã·ã«ãLv.85ã¯èã£ãœããªããŠç· ãã£ãœããšããããšã¯ãªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} fact2: ¬{A}{a} fact3: ¬({A}{a} & ¬{B}{a}) -> ¬{AB}{ab} fact4: (x): {B}x -> ¬(¬{C}x & ¬{A}x) fact5: (x): ({AA}x & {AB}x) -> ¬{B}x fact6: ({AA}{aa} & {AB}{aa}) fact7: ({AB}{a} & {B}{a}) -> ¬{AA}{a} fact8: {AA}{ee} ; $hypothesis$ = ¬(¬{C}{a} & ¬{A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽãªãŽãLv.82ã¯è²¶ããããã€æ±ããã | ({E}{c} & {F}{c}) | fact1: ããä»®ã«ããã®ã·ã«ã·ãLv.1ã¯é²åããããšããããšã¯æ£ãããªããã®ãŽãªãŽãLv.82ã¯çŸããæã fact2: ããä»®ã«ãã®ãŸã¡ããŸãLv.11ãçªã£è»¢ã°ããšãããããã¯å€©çããã fact3: ãã®ãŽãªãŽãLv.82ãçŸããæããªãã°è²¶ãã fact4: ãã®ãŽãªãŽãLv.82ã¯æ±ããã fact5: ãã®ãŸã¡ããŸãLv.11ã¯çªã£è»¢ã°ã fact6: ãããã®ã·ã«ã·ãLv.1ãçŸããæããªããªãã°ãã®ãŸã¡ããŸãLv.11ã¯å€©çãããããããã¯ããã¯é²åãããäž¡æ¹ãšãã fact7: ä»®ã«ãã®ãŸã¡ããŸãLv.11ã¯å€©çããããšãããšããã®ã·ã«ã·ãLv.1ã¯é²åããããšããããšã¯äºå®ã fact8: ãã®ãŽãªãŽãLv.82ã¯çªã£è»¢ã°ã | fact1: {C}{b} -> {D}{c} fact2: {A}{a} -> {B}{a} fact3: {D}{c} -> {E}{c} fact4: {F}{c} fact5: {A}{a} fact6: ¬{D}{b} -> ({B}{a} v {C}{a}) fact7: {B}{a} -> {C}{b} fact8: {A}{c} | [
"fact2 & fact5 -> int1: ãã®ãŸã¡ããŸãLv.11ã¯å€©çããã; int1 & fact7 -> int2: ãã®ã·ã«ã·ãLv.1ã¯é²åãã; int2 & fact1 -> int3: ããã®ãŽãªãŽãLv.82ã¯çŸããæãããšããããšã¯ç¢ºãã ; int3 & fact3 -> int4: ãã®ãŽãªãŽãLv.82ã¯è²¶ãã; int4 & fact4 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact1 -> int3: {D}{c}; int3 & fact3 -> int4: {E}{c}; int4 & fact4 -> hypothesis;"
] | ãã®ã·ãã·ã¡ã
Lv.40ã¯çªã£è»¢ã°ã | {A}{dc} | [] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã®ã·ã«ã·ãLv.1ã¯é²åããããšããããšã¯æ£ãããªããã®ãŽãªãŽãLv.82ã¯çŸããæã fact2: ããä»®ã«ãã®ãŸã¡ããŸãLv.11ãçªã£è»¢ã°ããšãããããã¯å€©çããã fact3: ãã®ãŽãªãŽãLv.82ãçŸããæããªãã°è²¶ãã fact4: ãã®ãŽãªãŽãLv.82ã¯æ±ããã fact5: ãã®ãŸã¡ããŸãLv.11ã¯çªã£è»¢ã°ã fact6: ãããã®ã·ã«ã·ãLv.1ãçŸããæããªããªãã°ãã®ãŸã¡ããŸãLv.11ã¯å€©çãããããããã¯ããã¯é²åãããäž¡æ¹ãšãã fact7: ä»®ã«ãã®ãŸã¡ããŸãLv.11ã¯å€©çããããšãããšããã®ã·ã«ã·ãLv.1ã¯é²åããããšããããšã¯äºå®ã fact8: ãã®ãŽãªãŽãLv.82ã¯çªã£è»¢ã°ã ; $hypothesis$ = ãã®ãŽãªãŽãLv.82ã¯è²¶ããããã€æ±ããã ; $proof$ = | fact2 & fact5 -> int1: ãã®ãŸã¡ããŸãLv.11ã¯å€©çããã; int1 & fact7 -> int2: ãã®ã·ã«ã·ãLv.1ã¯é²åãã; int2 & fact1 -> int3: ããã®ãŽãªãŽãLv.82ã¯çŸããæãããšããããšã¯ç¢ºãã ; int3 & fact3 -> int4: ãã®ãŽãªãŽãLv.82ã¯è²¶ãã; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{b} -> {D}{c} fact2: {A}{a} -> {B}{a} fact3: {D}{c} -> {E}{c} fact4: {F}{c} fact5: {A}{a} fact6: ¬{D}{b} -> ({B}{a} v {C}{a}) fact7: {B}{a} -> {C}{b} fact8: {A}{c} ; $hypothesis$ = ({E}{c} & {F}{c}) ; $proof$ = | fact2 & fact5 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact1 -> int3: {D}{c}; int3 & fact3 -> int4: {E}{c}; int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãããŸãããšããããšã§ã¯ãªãå€ããšããããšãçãã | (¬{D} & {C}) | fact1: å
¥ãé£ããšããããšãèµ·ãã fact2: ãããŸãããšããããšã¯çããªã fact3: å€ããšããããšã¯çºçããªããšããããšã¯ã¿ã¡ãã¿ã«ãLv.21äºä»¶ã«é²ããã fact4: ããããµãŒãžããããšã¯çããªãããšããããšã¯ä¿åãçŽãããšãšãŸã¡ã
ãŸãªLv.54äºä»¶ãèµ·ããã®åå ãšãªã fact5: ãä¿åãçŽãããšã¯çããªãããšããããšã¯èšãèš³ããŸãããšããããšãçºçããã fact6: ããã¿ã¡ãã¿ã«ãLv.21äºä»¶ã¯èµ·ããªããšããã°ããããŸãããšããããšã§ã¯ãªããŠå€ããšããããšãçããããšããããšã¯ééã£ãŠãã fact7: ä¿åãçŽãããšã¯çºçããªã fact8: ãã¡ããã«Lv.87äºä»¶ãšã¿ã¡ãã¿ã«ãLv.21äºä»¶ãçããã¯èšãèš³ããŸãããšããããšã¯çããªããšããããšãå¥æ©ã | fact1: {JD} fact2: ¬{D} fact3: {A} -> {C} fact4: ¬{G} -> ({E} & {F}) fact5: ¬{E} -> {B} fact6: ¬{A} -> ¬(¬{D} & {C}) fact7: ¬{E} fact8: ¬{B} -> ({GI} & {A}) | [] | [] | ãã¡ããã«Lv.87äºä»¶ãçºçãã | {GI} | [] | 6 | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: å
¥ãé£ããšããããšãèµ·ãã fact2: ãããŸãããšããããšã¯çããªã fact3: å€ããšããããšã¯çºçããªããšããããšã¯ã¿ã¡ãã¿ã«ãLv.21äºä»¶ã«é²ããã fact4: ããããµãŒãžããããšã¯çããªãããšããããšã¯ä¿åãçŽãããšãšãŸã¡ã
ãŸãªLv.54äºä»¶ãèµ·ããã®åå ãšãªã fact5: ãä¿åãçŽãããšã¯çããªãããšããããšã¯èšãèš³ããŸãããšããããšãçºçããã fact6: ããã¿ã¡ãã¿ã«ãLv.21äºä»¶ã¯èµ·ããªããšããã°ããããŸãããšããããšã§ã¯ãªããŠå€ããšããããšãçããããšããããšã¯ééã£ãŠãã fact7: ä¿åãçŽãããšã¯çºçããªã fact8: ãã¡ããã«Lv.87äºä»¶ãšã¿ã¡ãã¿ã«ãLv.21äºä»¶ãçããã¯èšãèš³ããŸãããšããããšã¯çããªããšããããšãå¥æ©ã ; $hypothesis$ = ãããŸãããšããããšã§ã¯ãªãå€ããšããããšãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {JD} fact2: ¬{D} fact3: {A} -> {C} fact4: ¬{G} -> ({E} & {F}) fact5: ¬{E} -> {B} fact6: ¬{A} -> ¬(¬{D} & {C}) fact7: ¬{E} fact8: ¬{B} -> ({GI} & {A}) ; $hypothesis$ = (¬{D} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | æŒãä»ãããŸãããšããããšã¯èµ·ããªã | ¬{F} | fact1: ããããŸã«ããŸãLv.29äºä»¶ããŸãã¯ã·ãã·ã«ã
Lv.41äºä»¶ããŸãã¯äž¡æ¹ãšããèµ·ãããªãæãŸãããšããããšã¯çºçããªã fact2: 眮ãæããšããããšãèµ·ãã fact3: ã·ã¡ãã·ãLv.35äºä»¶ã¯çããªããšããããšã¯ãæãŸãããšããããšãçããããšããããšããããã¯ã·ãã·ã«ã
Lv.41äºä»¶ããããã¯äž¡æ¹ãšããæã fact4: ãã·ã¡ãã·ãLv.35äºä»¶ãèµ·ããäžæ¹ã§æãŸãããšããããšã¯çããªãããšããããšã¯æŒãä»ãããŸãããšããããšã«ç¹ãã fact5: 眮ãæããšããããšã¯ãŸã«ããŸãLv.29äºä»¶ãçºçããã fact6: ã·ã¡ãã·ãLv.35äºä»¶ãçãã | fact1: ({B} v {C}) -> ¬{D} fact2: {A} fact3: ¬{E} -> ({D} v {C}) fact4: ({E} & ¬{D}) -> {F} fact5: {A} -> {B} fact6: {E} | [
"fact5 & fact2 -> int1: ãŸã«ããŸãLv.29äºä»¶ãçãã; int1 -> int2: ãŸã«ããŸãLv.29äºä»¶ãèµ·ããããŸãã¯ã·ãã·ã«ã
Lv.41äºä»¶ãèµ·ãã; int2 & fact1 -> int3: æãŸãããšããããšã¯èµ·ãããªã; int3 & fact6 -> int4: ã·ã¡ãã·ãLv.35äºä»¶ãèµ·ããããããæãŸãããšããããšã¯çããªã; int4 & fact4 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact1 -> int3: ¬{D}; int3 & fact6 -> int4: ({E} & ¬{D}); int4 & fact4 -> hypothesis;"
] | ãã«ãããLv.19äºä»¶ãèµ·ãããåºå§ããããšãçãã | ({I} v {FC}) | [] | 6 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããŸã«ããŸãLv.29äºä»¶ããŸãã¯ã·ãã·ã«ã
Lv.41äºä»¶ããŸãã¯äž¡æ¹ãšããèµ·ãããªãæãŸãããšããããšã¯çºçããªã fact2: 眮ãæããšããããšãèµ·ãã fact3: ã·ã¡ãã·ãLv.35äºä»¶ã¯çããªããšããããšã¯ãæãŸãããšããããšãçããããšããããšããããã¯ã·ãã·ã«ã
Lv.41äºä»¶ããããã¯äž¡æ¹ãšããæã fact4: ãã·ã¡ãã·ãLv.35äºä»¶ãèµ·ããäžæ¹ã§æãŸãããšããããšã¯çããªãããšããããšã¯æŒãä»ãããŸãããšããããšã«ç¹ãã fact5: 眮ãæããšããããšã¯ãŸã«ããŸãLv.29äºä»¶ãçºçããã fact6: ã·ã¡ãã·ãLv.35äºä»¶ãçãã ; $hypothesis$ = æŒãä»ãããŸãããšããããšã¯èµ·ããªã ; $proof$ = | fact5 & fact2 -> int1: ãŸã«ããŸãLv.29äºä»¶ãçãã; int1 -> int2: ãŸã«ããŸãLv.29äºä»¶ãèµ·ããããŸãã¯ã·ãã·ã«ã
Lv.41äºä»¶ãèµ·ãã; int2 & fact1 -> int3: æãŸãããšããããšã¯èµ·ãããªã; int3 & fact6 -> int4: ã·ã¡ãã·ãLv.35äºä»¶ãèµ·ããããããæãŸãããšããããšã¯çããªã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B} v {C}) -> ¬{D} fact2: {A} fact3: ¬{E} -> ({D} v {C}) fact4: ({E} & ¬{D}) -> {F} fact5: {A} -> {B} fact6: {E} ; $hypothesis$ = ¬{F} ; $proof$ = | fact5 & fact2 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact1 -> int3: ¬{D}; int3 & fact6 -> int4: ({E} & ¬{D}); int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœã«ãœãLv.79ã¯æ°æ¥ããããããŸãå·»ãæ»ãããšããããšã¯æãç«ããªã | ¬({D}{b} & {E}{b}) | fact1: ãã®ã·ã«ã
ã·ã«Lv.90ã¯ååŸãæã fact2: ãããã®ãœã«ãœãLv.79ãååŸãæããšãããšãã®ãœã«ãœãLv.79ã¯æ°æ¥ãããã fact3: ãã®ã·ã«ã
ã·ã«Lv.90ã¯åŒã³æã fact4: èµ€ãã¢ã³ã¹ã¿ãŒã¯æ°æ¥ãããã fact5: ãã®ã·ã«ã
ã·ã«Lv.90ã¯åŠäœããã fact6: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒã³æããªããªãã°ãæ°æ¥ãããããŠå·»ãæ»ãããšããããšã¯æãç«ããªã fact7: ãã®ãœã«ãœãLv.79ã¯å·»ãæ»ã fact8: ããä»®ã«åŒã³æãã¢ã³ã¹ã¿ãŒãåŠäœããããšããããã®ãœã«ãœãLv.79ã¯ååŸãæã | fact1: {C}{a} fact2: {C}{b} -> {D}{b} fact3: {A}{a} fact4: (x): {JE}x -> {D}x fact5: {B}{a} fact6: (x): ¬{A}x -> ¬({D}x & {E}x) fact7: {E}{b} fact8: (x): ({A}x & {B}x) -> {C}{b} | [
"fact3 & fact5 -> int1: ãã®ã·ã«ã
ã·ã«Lv.90ã¯åŒã³æããããã«åŠäœããã; int1 -> int2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒã³æããŠããã«åŠäœããã; int2 & fact8 -> int3: ãã®ãœã«ãœãLv.79ã¯ååŸãæã; int3 & fact2 -> int4: ãã®ãœã«ãœãLv.79ã¯æ°æ¥ãããã; int4 & fact7 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact8 -> int3: {C}{b}; int3 & fact2 -> int4: {D}{b}; int4 & fact7 -> hypothesis;"
] | ããã®ãœã«ãœãLv.79ã¯æ°æ¥ããããããŸãå·»ãæ»ãããšããããšã¯æãç«ããªã | ¬({D}{b} & {E}{b}) | [
"fact9 -> int5: ããã®ãœã«ãœãLv.79ã¯åŒã³æããªããšãããšããã®ãœã«ãœãLv.79ã¯æ°æ¥ãããããããã«å·»ãæ»ãããšããããšã¯ééãã ããšããããšã¯çå®ã§ãã;"
] | 4 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã
ã·ã«Lv.90ã¯ååŸãæã fact2: ãããã®ãœã«ãœãLv.79ãååŸãæããšãããšãã®ãœã«ãœãLv.79ã¯æ°æ¥ãããã fact3: ãã®ã·ã«ã
ã·ã«Lv.90ã¯åŒã³æã fact4: èµ€ãã¢ã³ã¹ã¿ãŒã¯æ°æ¥ãããã fact5: ãã®ã·ã«ã
ã·ã«Lv.90ã¯åŠäœããã fact6: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒã³æããªããªãã°ãæ°æ¥ãããããŠå·»ãæ»ãããšããããšã¯æãç«ããªã fact7: ãã®ãœã«ãœãLv.79ã¯å·»ãæ»ã fact8: ããä»®ã«åŒã³æãã¢ã³ã¹ã¿ãŒãåŠäœããããšããããã®ãœã«ãœãLv.79ã¯ååŸãæã ; $hypothesis$ = ããã®ãœã«ãœãLv.79ã¯æ°æ¥ããããããŸãå·»ãæ»ãããšããããšã¯æãç«ããªã ; $proof$ = | fact3 & fact5 -> int1: ãã®ã·ã«ã
ã·ã«Lv.90ã¯åŒã³æããããã«åŠäœããã; int1 -> int2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒã³æããŠããã«åŠäœããã; int2 & fact8 -> int3: ãã®ãœã«ãœãLv.79ã¯ååŸãæã; int3 & fact2 -> int4: ãã®ãœã«ãœãLv.79ã¯æ°æ¥ãããã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} fact2: {C}{b} -> {D}{b} fact3: {A}{a} fact4: (x): {JE}x -> {D}x fact5: {B}{a} fact6: (x): ¬{A}x -> ¬({D}x & {E}x) fact7: {E}{b} fact8: (x): ({A}x & {B}x) -> {C}{b} ; $hypothesis$ = ¬({D}{b} & {E}{b}) ; $proof$ = | fact3 & fact5 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact8 -> int3: {C}{b}; int3 & fact2 -> int4: {D}{b}; int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãœããœãLv.84äºä»¶ã¯çºçããªã | ¬{C} | fact1: ãœã«ã
ãœãLv.26äºä»¶ãçãã fact2: ãœããœãLv.84äºä»¶ãèµ·ãããšããããšã¯å€§å·®ç¡ããšããããšããã³ãœã«ã
ãœãLv.26äºä»¶ãèµ·ããã«é»ãŸãã fact3: ã¿ã«ãã¿ãLv.45äºä»¶ãšãŸããŸã¡ãLv.76äºä»¶ãèµ·ãã fact4: 倧差ç¡ããšããããšãèµ·ãã fact5: ããœã«ã
ãœãLv.26äºä»¶ãçºçããã倧差ç¡ããšããããšã¯èµ·ããªãããšããããšã¯ãå°ãªããšããããšãçããããšããããšãé»ã fact6: ãããœã«ã
ãœãLv.26äºä»¶ãçºçããªããšããããœããœãLv.84äºä»¶ãšå€§å·®ç¡ããšããããšäž¡æ¹ãšãã¯çºçãã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: ({EM} & {IU}) fact4: {A} fact5: ({B} & ¬{A}) -> ¬{AB} fact6: ¬{B} -> ({C} & {A}) | [
"fact4 & fact1 -> int1: 倧差ç¡ããšããããšãšãœã«ã
ãœãLv.26äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | ãœããœãLv.84äºä»¶ãèµ·ãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãœã«ã
ãœãLv.26äºä»¶ãçãã fact2: ãœããœãLv.84äºä»¶ãèµ·ãããšããããšã¯å€§å·®ç¡ããšããããšããã³ãœã«ã
ãœãLv.26äºä»¶ãèµ·ããã«é»ãŸãã fact3: ã¿ã«ãã¿ãLv.45äºä»¶ãšãŸããŸã¡ãLv.76äºä»¶ãèµ·ãã fact4: 倧差ç¡ããšããããšãèµ·ãã fact5: ããœã«ã
ãœãLv.26äºä»¶ãçºçããã倧差ç¡ããšããããšã¯èµ·ããªãããšããããšã¯ãå°ãªããšããããšãçããããšããããšãé»ã fact6: ãããœã«ã
ãœãLv.26äºä»¶ãçºçããªããšããããœããœãLv.84äºä»¶ãšå€§å·®ç¡ããšããããšäž¡æ¹ãšãã¯çºçãã ; $hypothesis$ = ãœããœãLv.84äºä»¶ã¯çºçããªã ; $proof$ = | fact4 & fact1 -> int1: 倧差ç¡ããšããããšãšãœã«ã
ãœãLv.26äºä»¶ãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: ({EM} & {IU}) fact4: {A} fact5: ({B} & ¬{A}) -> ¬{AB} fact6: ¬{B} -> ({C} & {A}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact4 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ãã·ã«ãLv.88ã¯ããããšããããšã¯ãªã | ¬{G}{a} | fact1: ããããã®ã·ã«ãã·ã«ãLv.88ã¯ããã°ãããšããã°ããã¯ãããã£ãœããªãããŸãããã¯æ°å¿ãããªã fact2: ä»®ã«ãã®ã·ã«ãã·ã«ãLv.88ã¯ãããã£ãœããªããããã¯æ°å¿ãããšããããšã¯ãªããšãããšãã®ã·ã«ãã·ã«ãLv.88ã¯åŸãããããªã fact3: ãããã®ã·ã«ãã·ã«ãLv.88ã¯æªãããªããæšããªããªããããã¯ãããããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã fact4: ããã®ã·ã«ãã·ã«ãLv.88ã¯èµ·ããé£ããšããããšã¯ãªãããã®äžæŽ»åãé£ããªãããšããããšã¯èª€ã£ãŠãã fact5: ä»®ã«ããã®ã·ã«ãã·ã«ãLv.88ã¯èµ·ããé£ããªããããã¯æŽ»åãé£ããªãããšããããšã¯æãç«ããªããšãããšããã°ãã fact6: ããä»®ã«ãã®ã·ã«ãã·ã«ãLv.88ãåŸãããããªããªãã°ãã®ã·ã«ãã·ã«ãLv.88ã¯æªãããªããæšããšããããšã¯ãªã | fact1: {B}{a} -> (¬{C}{a} & ¬{A}{a}) fact2: (¬{C}{a} & ¬{A}{a}) -> ¬{D}{a} fact3: (¬{E}{a} & ¬{F}{a}) -> {G}{a} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact6: ¬{D}{a} -> (¬{E}{a} & ¬{F}{a}) | [
"fact5 & fact4 -> int1: ãã®ã·ã«ãã·ã«ãLv.88ã¯ããã°ãã; int1 & fact1 -> int2: ãã®ã·ã«ãã·ã«ãLv.88ã¯ãããã£ãœããªããããã¯æ°å¿ãããšããããšã¯ãªã; int2 & fact2 -> int3: ãã®ã·ã«ãã·ã«ãLv.88ã¯åŸãããããªã; int3 & fact6 -> int4: ãã®ã·ã«ãã·ã«ãLv.88ã¯æªãããšããããšã¯ãªããæšããªã; int4 & fact3 -> hypothesis;"
] | [
"fact5 & fact4 -> int1: {B}{a}; int1 & fact1 -> int2: (¬{C}{a} & ¬{A}{a}); int2 & fact2 -> int3: ¬{D}{a}; int3 & fact6 -> int4: (¬{E}{a} & ¬{F}{a}); int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã·ã«ãã·ã«ãLv.88ã¯ããã°ãããšããã°ããã¯ãããã£ãœããªãããŸãããã¯æ°å¿ãããªã fact2: ä»®ã«ãã®ã·ã«ãã·ã«ãLv.88ã¯ãããã£ãœããªããããã¯æ°å¿ãããšããããšã¯ãªããšãããšãã®ã·ã«ãã·ã«ãLv.88ã¯åŸãããããªã fact3: ãããã®ã·ã«ãã·ã«ãLv.88ã¯æªãããªããæšããªããªããããã¯ãããããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã fact4: ããã®ã·ã«ãã·ã«ãLv.88ã¯èµ·ããé£ããšããããšã¯ãªãããã®äžæŽ»åãé£ããªãããšããããšã¯èª€ã£ãŠãã fact5: ä»®ã«ããã®ã·ã«ãã·ã«ãLv.88ã¯èµ·ããé£ããªããããã¯æŽ»åãé£ããªãããšããããšã¯æãç«ããªããšãããšããã°ãã fact6: ããä»®ã«ãã®ã·ã«ãã·ã«ãLv.88ãåŸãããããªããªãã°ãã®ã·ã«ãã·ã«ãLv.88ã¯æªãããªããæšããšããããšã¯ãªã ; $hypothesis$ = ãã®ã·ã«ãã·ã«ãLv.88ã¯ããããšããããšã¯ãªã ; $proof$ = | fact5 & fact4 -> int1: ãã®ã·ã«ãã·ã«ãLv.88ã¯ããã°ãã; int1 & fact1 -> int2: ãã®ã·ã«ãã·ã«ãLv.88ã¯ãããã£ãœããªããããã¯æ°å¿ãããšããããšã¯ãªã; int2 & fact2 -> int3: ãã®ã·ã«ãã·ã«ãLv.88ã¯åŸãããããªã; int3 & fact6 -> int4: ãã®ã·ã«ãã·ã«ãLv.88ã¯æªãããšããããšã¯ãªããæšããªã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> (¬{C}{a} & ¬{A}{a}) fact2: (¬{C}{a} & ¬{A}{a}) -> ¬{D}{a} fact3: (¬{E}{a} & ¬{F}{a}) -> {G}{a} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact6: ¬{D}{a} -> (¬{E}{a} & ¬{F}{a}) ; $hypothesis$ = ¬{G}{a} ; $proof$ = | fact5 & fact4 -> int1: {B}{a}; int1 & fact1 -> int2: (¬{C}{a} & ¬{A}{a}); int2 & fact2 -> int3: ¬{D}{a}; int3 & fact6 -> int4: (¬{E}{a} & ¬{F}{a}); int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŽããŽã«ãLv.69ã¯äººéèããªãããã©è¿«ã | (¬{AA}{aa} & {AB}{aa}) | fact1: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã圱é¿ããæããšãããããã¯äººéèããšããããšã¯ãªãäžæ¹ã§è¿«ã fact2: ãã人éèãã¢ã³ã¹ã¿ãŒãè¿«ããšããã°ããã¯ç¢ºãããããªã fact3: ãã®ãŽããŽã«ãLv.69ã¯äººéèããããã«è¿«ããšããããããã¯ç¢ºãããããªãããšããããšã¯äºå®ã§ãã fact4: ãã®ãŽããŽã«ãLv.69ã¯äººéèããªã fact5: 人éèããªãã¢ã³ã¹ã¿ãŒã§ããè¿«ãã¢ã³ã¹ã¿ãŒã¯ç¢ºãããããªã fact6: ããã®ãŽããŽã«ãLv.69ã¯äººéèããŠè¿«ãããšããããšã¯åœã§ãã | fact1: (x): {A}x -> (¬{AA}x & {AB}x) fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact4: ¬{AA}{aa} fact5: (x): (¬{AA}x & {AB}x) -> ¬{B}x fact6: ¬({AA}{aa} & {AB}{aa}) | [
"fact5 -> int1: ããä»®ã«ãã®ãŽããŽã«ãLv.69ã人éèããªãããã©è¿«ããšãããšãã®ãŽããŽã«ãLv.69ã¯ç¢ºãããããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽã«ãLv.69ã¯äººéèããªãããã©è¿«ã; int1 & assump1 -> int2: ãã®ãŽããŽã«ãLv.69ã¯ç¢ºãããããšããããšã¯ãªã;"
] | [
"fact5 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; void -> assump1: (¬{AA}{aa} & {AB}{aa}); int1 & assump1 -> int2: ¬{B}{aa};"
] | 以äžã®ããã«ä»®å®ããããã®ãŽããŽã«ãLv.69ã¯äººéèããªãããã©è¿«ã | (¬{AA}{aa} & {AB}{aa}) | [
"fact7 -> int3: ããä»®ã«ãã®ãŽããŽã«ãLv.69ã圱é¿ããæããªããã®ãŽããŽã«ãLv.69ã¯äººéèããšããããšã¯ãªãããã©è¿«ã;"
] | 5 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã圱é¿ããæããšãããããã¯äººéèããšããããšã¯ãªãäžæ¹ã§è¿«ã fact2: ãã人éèãã¢ã³ã¹ã¿ãŒãè¿«ããšããã°ããã¯ç¢ºãããããªã fact3: ãã®ãŽããŽã«ãLv.69ã¯äººéèããããã«è¿«ããšããããããã¯ç¢ºãããããªãããšããããšã¯äºå®ã§ãã fact4: ãã®ãŽããŽã«ãLv.69ã¯äººéèããªã fact5: 人éèããªãã¢ã³ã¹ã¿ãŒã§ããè¿«ãã¢ã³ã¹ã¿ãŒã¯ç¢ºãããããªã fact6: ããã®ãŽããŽã«ãLv.69ã¯äººéèããŠè¿«ãããšããããšã¯åœã§ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŽããŽã«ãLv.69ã¯äººéèããªãããã©è¿«ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {A}x -> (¬{AA}x & {AB}x) fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact4: ¬{AA}{aa} fact5: (x): (¬{AA}x & {AB}x) -> ¬{B}x fact6: ¬({AA}{aa} & {AB}{aa}) ; $hypothesis$ = (¬{AA}{aa} & {AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãœãªãœã«ã
Lv.54äºä»¶ã¯çºçããªã | ¬{G} | fact1: ãœãªãœã«ã
Lv.54äºä»¶ã¯ãå¬ããããšããããšãèµ·ãããããã«å
èŠãããšããããšãçºçããããšããããšã«é»ãŸãã fact2: ä»®ã«ãŽã«ããŽãLv.72äºä»¶ãèµ·ãããšããã°å¬ããããšããããšãçºçãã fact3: ãçãŸãããšããããšãèµ·ããããšããããšã¯ãŽã«ããŽãLv.72äºä»¶ã¯èµ·ãããªããšããããšãé»ã fact4: å
èŠãããšããããšãèµ·ãã fact5: æ°èšŽããããšã¯çãŸãããšããããšã¯èµ·ããªããšããããšãé»ã fact6: æ°èšŽããããšãèµ·ãããã¿ã¡ãã¿ã¡ãLv.30äºä»¶ãèµ·ãã fact7: ã¿ã¡ãã¿ã¡ãLv.30äºä»¶ã¯çãŸãããšããããšãæã | fact1: ({E} & {F}) -> ¬{G} fact2: {D} -> {E} fact3: {C} -> {D} fact4: {F} fact5: {A} -> {C} fact6: ({A} v {B}) fact7: {B} -> {C} | [
"fact6 & fact5 & fact7 -> int1: çãŸãããšããããšãçºçãã; int1 & fact3 -> int2: ããŽã«ããŽãLv.72äºä»¶ãçããããšããããšã¯æãç«ã€; int2 & fact2 -> int3: å¬ããããšããããšãçºçãã; int3 & fact4 -> int4: å¬ããããšããããšãçãããããã«å
èŠãããšããããšãèµ·ãã; int4 & fact1 -> hypothesis;"
] | [
"fact6 & fact5 & fact7 -> int1: {C}; int1 & fact3 -> int2: {D}; int2 & fact2 -> int3: {E}; int3 & fact4 -> int4: ({E} & {F}); int4 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãœãªãœã«ã
Lv.54äºä»¶ã¯ãå¬ããããšããããšãèµ·ãããããã«å
èŠãããšããããšãçºçããããšããããšã«é»ãŸãã fact2: ä»®ã«ãŽã«ããŽãLv.72äºä»¶ãèµ·ãããšããã°å¬ããããšããããšãçºçãã fact3: ãçãŸãããšããããšãèµ·ããããšããããšã¯ãŽã«ããŽãLv.72äºä»¶ã¯èµ·ãããªããšããããšãé»ã fact4: å
èŠãããšããããšãèµ·ãã fact5: æ°èšŽããããšã¯çãŸãããšããããšã¯èµ·ããªããšããããšãé»ã fact6: æ°èšŽããããšãèµ·ãããã¿ã¡ãã¿ã¡ãLv.30äºä»¶ãèµ·ãã fact7: ã¿ã¡ãã¿ã¡ãLv.30äºä»¶ã¯çãŸãããšããããšãæã ; $hypothesis$ = ãœãªãœã«ã
Lv.54äºä»¶ã¯çºçããªã ; $proof$ = | fact6 & fact5 & fact7 -> int1: çãŸãããšããããšãçºçãã; int1 & fact3 -> int2: ããŽã«ããŽãLv.72äºä»¶ãçããããšããããšã¯æãç«ã€; int2 & fact2 -> int3: å¬ããããšããããšãçºçãã; int3 & fact4 -> int4: å¬ããããšããããšãçãããããã«å
èŠãããšããããšãèµ·ãã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({E} & {F}) -> ¬{G} fact2: {D} -> {E} fact3: {C} -> {D} fact4: {F} fact5: {A} -> {C} fact6: ({A} v {B}) fact7: {B} -> {C} ; $hypothesis$ = ¬{G} ; $proof$ = | fact6 & fact5 & fact7 -> int1: {C}; int1 & fact3 -> int2: {D}; int2 & fact2 -> int3: {E}; int3 & fact4 -> int4: ({E} & {F}); int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããœããœã«Lv.59äºä»¶ãçºçããããšããããšã¯äºå®ã§ãã | {C} | fact1: ãœããœã«Lv.59äºä»¶ã¯ãæ
æ²æ·±ããšããããšã¯çããªãããšããããšã«é»æ¢ããã fact2: ãããã·ãã·ãLv.3äºä»¶ãèµ·ããªãäžæ¹ã§æ
æ²æ·±ããšããããšã¯çºçããããšããããšã¯ééãã ãšããããœããœã«Lv.59äºä»¶ã¯çºçããªã | fact1: ¬{B} -> ¬{C} fact2: ¬(¬{A} & {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ãLv.3äºä»¶ã§ã¯ãªãæ
æ²æ·±ããšããããšãèµ·ãã; assump1 -> int1: ã·ãã·ãLv.3äºä»¶ã¯çããªã;"
] | [
"void -> assump1: (¬{A} & {B}); assump1 -> int1: ¬{A};"
] | null | null | [] | null | 5 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãœããœã«Lv.59äºä»¶ã¯ãæ
æ²æ·±ããšããããšã¯çããªãããšããããšã«é»æ¢ããã fact2: ãããã·ãã·ãLv.3äºä»¶ãèµ·ããªãäžæ¹ã§æ
æ²æ·±ããšããããšã¯çºçããããšããããšã¯ééãã ãšããããœããœã«Lv.59äºä»¶ã¯çºçããªã ; $hypothesis$ = ããœããœã«Lv.59äºä»¶ãçºçããããšããããšã¯äºå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ¬{C} fact2: ¬(¬{A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.23ã¯ç²ã匷ã | {D}{b} | fact1: ãã®ãŸããŸãLv.75ã¯æ
ããªããªã fact2: ãããã®ãŸããŸãLv.75ã¯åŸ¡åãããªããªãã°ããã®ãŸããŸãLv.75ã¯éšãããããã©æ
ããªããªãããšããããšã¯æãç«ã€ fact3: ãã®ãŸããŸãLv.75ã¯åŸ¡åãããªã fact4: ãããã®ãŽããŽãLv.23ãé¢çœããªããã®ãŽããŽãLv.23ã¯ç²ã匷ã | fact1: ¬{B}{a} fact2: ¬{E}{a} -> ({A}{a} & ¬{B}{a}) fact3: ¬{E}{a} fact4: {C}{b} -> {D}{b} | [
"fact3 & fact2 -> int1: ãã®ãŸããŸãLv.75ã¯éšãããäžæ¹ã§æ
ããªããšããããšã¯ãªã; int1 -> int2: ãã®ãŸããŸãLv.75ã¯éšããã;"
] | [
"fact3 & fact2 -> int1: ({A}{a} & ¬{B}{a}); int1 -> int2: {A}{a};"
] | null | null | [] | null | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŸããŸãLv.75ã¯æ
ããªããªã fact2: ãããã®ãŸããŸãLv.75ã¯åŸ¡åãããªããªãã°ããã®ãŸããŸãLv.75ã¯éšãããããã©æ
ããªããªãããšããããšã¯æãç«ã€ fact3: ãã®ãŸããŸãLv.75ã¯åŸ¡åãããªã fact4: ãããã®ãŽããŽãLv.23ãé¢çœããªããã®ãŽããŽãLv.23ã¯ç²ã匷ã ; $hypothesis$ = ãã®ãŽããŽãLv.23ã¯ç²ã匷ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} fact2: ¬{E}{a} -> ({A}{a} & ¬{B}{a}) fact3: ¬{E}{a} fact4: {C}{b} -> {D}{b} ; $hypothesis$ = {D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœã®Lv.7ã¯åæåºæ¥ã | {F}{d} | fact1: ãã®ãœããœãLv.38ãåãå
¥ãããæããªãããã¯æŠã fact2: ãããã®ãŸããŸã«ã
Lv.7ã¯ä»ãåããªãããã®ãœããœãLv.95ã¯ä»ãåããšããããšã¯ãªããŠå
¥ãé£ããªãããšããããšã¯æãç«ããªã fact3: ãã®ãœããœãLv.38ã¯åãå
¥ãããæã fact4: ãã®ãœããœãLv.38ãåãå
¥ãããæããªããŠãããæŠããªããšããã°ãã®ãœããœã®Lv.7ã¯åæåºæ¥ãªã fact5: ããä»®ã«ãã®ãœããœãLv.38ãç·©ã¿æããªããã®ãŸããŸã«ã
Lv.7ã¯ä»ãåã fact6: ããããã®ãœããœãLv.95ã¯ä»ãåããªããŠãã€ããã¯å
¥ãé£ããªãããšããããšã¯æãç«ããªããšãããšãã®ãœããœã®Lv.7ã¯åæåºæ¥ã fact7: ãã®ãœããœãLv.38ãæŠããšããã°ãã®ãœããœãLv.38ã¯ç·©ã¿æã | fact1: {A}{a} -> {B}{a} fact2: {D}{b} -> ¬(¬{D}{c} & ¬{E}{c}) fact3: {A}{a} fact4: (¬{A}{a} & ¬{B}{a}) -> ¬{F}{d} fact5: {C}{a} -> {D}{b} fact6: ¬(¬{D}{c} & ¬{E}{c}) -> {F}{d} fact7: {B}{a} -> {C}{a} | [
"fact1 & fact3 -> int1: ãã®ãœããœãLv.38ã¯æŠã; int1 & fact7 -> int2: ãã®ãœããœãLv.38ã¯ç·©ã¿æã; int2 & fact5 -> int3: ãã®ãŸããŸã«ã
Lv.7ã¯ä»ãåã; int3 & fact2 -> int4: ããã®ãœããœãLv.95ã¯ä»ãåããªããŠæŽã«å
¥ãé£ããªãããšããããšã¯èª€ãã§ãã; int4 & fact6 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{a}; int2 & fact5 -> int3: {D}{b}; int3 & fact2 -> int4: ¬(¬{D}{c} & ¬{E}{c}); int4 & fact6 -> hypothesis;"
] | ãã®ãœããœã®Lv.7ã¯åæåºæ¥ãªã | ¬{F}{d} | [] | 5 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœãLv.38ãåãå
¥ãããæããªãããã¯æŠã fact2: ãããã®ãŸããŸã«ã
Lv.7ã¯ä»ãåããªãããã®ãœããœãLv.95ã¯ä»ãåããšããããšã¯ãªããŠå
¥ãé£ããªãããšããããšã¯æãç«ããªã fact3: ãã®ãœããœãLv.38ã¯åãå
¥ãããæã fact4: ãã®ãœããœãLv.38ãåãå
¥ãããæããªããŠãããæŠããªããšããã°ãã®ãœããœã®Lv.7ã¯åæåºæ¥ãªã fact5: ããä»®ã«ãã®ãœããœãLv.38ãç·©ã¿æããªããã®ãŸããŸã«ã
Lv.7ã¯ä»ãåã fact6: ããããã®ãœããœãLv.95ã¯ä»ãåããªããŠãã€ããã¯å
¥ãé£ããªãããšããããšã¯æãç«ããªããšãããšãã®ãœããœã®Lv.7ã¯åæåºæ¥ã fact7: ãã®ãœããœãLv.38ãæŠããšããã°ãã®ãœããœãLv.38ã¯ç·©ã¿æã ; $hypothesis$ = ãã®ãœããœã®Lv.7ã¯åæåºæ¥ã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãœããœãLv.38ã¯æŠã; int1 & fact7 -> int2: ãã®ãœããœãLv.38ã¯ç·©ã¿æã; int2 & fact5 -> int3: ãã®ãŸããŸã«ã
Lv.7ã¯ä»ãåã; int3 & fact2 -> int4: ããã®ãœããœãLv.95ã¯ä»ãåããªããŠæŽã«å
¥ãé£ããªãããšããããšã¯èª€ãã§ãã; int4 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {D}{b} -> ¬(¬{D}{c} & ¬{E}{c}) fact3: {A}{a} fact4: (¬{A}{a} & ¬{B}{a}) -> ¬{F}{d} fact5: {C}{a} -> {D}{b} fact6: ¬(¬{D}{c} & ¬{E}{c}) -> {F}{d} fact7: {B}{a} -> {C}{a} ; $hypothesis$ = {F}{d} ; $proof$ = | fact1 & fact3 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{a}; int2 & fact5 -> int3: {D}{b}; int3 & fact2 -> int4: ¬(¬{D}{c} & ¬{E}{c}); int4 & fact6 -> hypothesis; __PROVED__ |
0.3 | ã¿ã®ã¿ãLv.63äºä»¶ãèµ·ãã | {D} | fact1: ãããä»®ã«ããããã«Lv.97äºä»¶ã¯çºçããããããã·ãã·ã«Lv.32äºä»¶ã¯çããªãããšããããšã¯æ¬åœã§ãªããšãããšãŸã«ãŸãªLv.72äºä»¶ã¯çããªãããšããããšã¯æ£ãã fact2: ãããããšããããšãçãããšããã°ãã¢ããŒã«åºæ¥ãããšã¯çããªãäžæ¹ã§ã·ãã·ãLv.13äºä»¶ãçããããšããããšã¯åœã fact3: ããœã«ãœã«ãLv.48äºä»¶ãèµ·ããªãããããã¯ãŸã«ãŸãªLv.72äºä»¶ã¯èµ·ãããªãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªããªãã°ã¿ã®ã¿ãLv.63äºä»¶ãèµ·ãã fact4: ããããã«Lv.97äºä»¶ãšã·ãã·ã«Lv.32äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªã fact5: ããœã«ãœã«ãLv.48äºä»¶ã¯èµ·ãããªãããšããããšã¯ã¿ã®ã¿ãLv.63äºä»¶ãé²ã fact6: ã·ãã·ãLv.13äºä»¶ã¯èµ·ããªã fact7: ããŸã«ãŸãªLv.72äºä»¶ãèµ·ããããšããããšã¯ãã·ãã·ã«Lv.32äºä»¶ãèµ·ããããšããããšã«é»æ¢ããã fact8: ããä»®ã«ãæãŸãæããšããããšã§ã¯ãªããŠãœã«ãœã«ãLv.48äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããã¿ã®ã¿ãLv.63äºä»¶ã¯èµ·ããªã fact9: ä»®ã«ã·ãã·ãLv.13äºä»¶ã¯çºçããªããªãã°ãããããã«Lv.97äºä»¶ãèµ·ãããã·ãã·ã«Lv.32äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯ç¢ºãã | fact1: ¬({AA} & ¬{AB}) -> ¬{B} fact2: {G} -> ¬(¬{F} & {E}) fact3: ¬(¬{A} v ¬{B}) -> {D} fact4: ¬({AA} & {AB}) fact5: ¬{A} -> ¬{D} fact6: ¬{E} fact7: {AB} -> ¬{B} fact8: ¬(¬{C} & {A}) -> ¬{D} fact9: ¬{E} -> ¬({AA} & ¬{AB}) | [
"fact6 & fact9 -> int1: ããããã«Lv.97äºä»¶ãèµ·ããããããã·ãã·ã«Lv.32äºä»¶ã¯çããªãããšããããšã¯ééã£ãŠãã; fact1 & int1 -> int2: ãŸã«ãŸãªLv.72äºä»¶ã¯çããªã;"
] | [
"fact6 & fact9 -> int1: ¬({AA} & ¬{AB}); fact1 & int1 -> int2: ¬{B};"
] | ã¿ã®ã¿ãLv.63äºä»¶ãèµ·ãã | {D} | [] | 7 | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããä»®ã«ããããã«Lv.97äºä»¶ã¯çºçããããããã·ãã·ã«Lv.32äºä»¶ã¯çããªãããšããããšã¯æ¬åœã§ãªããšãããšãŸã«ãŸãªLv.72äºä»¶ã¯çããªãããšããããšã¯æ£ãã fact2: ãããããšããããšãçãããšããã°ãã¢ããŒã«åºæ¥ãããšã¯çããªãäžæ¹ã§ã·ãã·ãLv.13äºä»¶ãçããããšããããšã¯åœã fact3: ããœã«ãœã«ãLv.48äºä»¶ãèµ·ããªãããããã¯ãŸã«ãŸãªLv.72äºä»¶ã¯èµ·ãããªãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªããªãã°ã¿ã®ã¿ãLv.63äºä»¶ãèµ·ãã fact4: ããããã«Lv.97äºä»¶ãšã·ãã·ã«Lv.32äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªã fact5: ããœã«ãœã«ãLv.48äºä»¶ã¯èµ·ãããªãããšããããšã¯ã¿ã®ã¿ãLv.63äºä»¶ãé²ã fact6: ã·ãã·ãLv.13äºä»¶ã¯èµ·ããªã fact7: ããŸã«ãŸãªLv.72äºä»¶ãèµ·ããããšããããšã¯ãã·ãã·ã«Lv.32äºä»¶ãèµ·ããããšããããšã«é»æ¢ããã fact8: ããä»®ã«ãæãŸãæããšããããšã§ã¯ãªããŠãœã«ãœã«ãLv.48äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããã¿ã®ã¿ãLv.63äºä»¶ã¯èµ·ããªã fact9: ä»®ã«ã·ãã·ãLv.13äºä»¶ã¯çºçããªããªãã°ãããããã«Lv.97äºä»¶ãèµ·ãããã·ãã·ã«Lv.32äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯ç¢ºãã ; $hypothesis$ = ã¿ã®ã¿ãLv.63äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({AA} & ¬{AB}) -> ¬{B} fact2: {G} -> ¬(¬{F} & {E}) fact3: ¬(¬{A} v ¬{B}) -> {D} fact4: ¬({AA} & {AB}) fact5: ¬{A} -> ¬{D} fact6: ¬{E} fact7: {AB} -> ¬{B} fact8: ¬(¬{C} & {A}) -> ¬{D} fact9: ¬{E} -> ¬({AA} & ¬{AB}) ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯æãŠãç¡ã | {C}{aa} | fact1: ããä»®ã«ãã®ãŽã«ã
ãŽã¡ã
Lv.62ãå£ãæããšããã°ããã¯å匷ã fact2: å©çšããæããŠæŽã«æ°é«ãã¢ã³ã¹ã¿ãŒã¯å£ãæã fact3: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯æ°é«ããªã fact4: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯å©çšããæãããããæ°é«ããªã fact5: ããä»®ã«ãã®ãŽã«ã
ãŽã¡ã
Lv.62ãå匷ããšããã°ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯æãŠãç¡ã fact6: ããä»®ã«ãã®ãŽã«ã
ãŽã¡ã
Lv.62ãå©çšããæãããããæ°é«ããªãããã¯å£ãæã fact7: ããå©çšããæãã¢ã³ã¹ã¿ãŒãæ°é«ããšããããšã¯ãªããšãããããã¯å£ãæã | fact1: {B}{aa} -> {A}{aa} fact2: (x): ({AA}x & {AB}x) -> {B}x fact3: ¬{AB}{aa} fact4: ({AA}{aa} & ¬{AB}{aa}) fact5: {A}{aa} -> {C}{aa} fact6: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact7: (x): ({AA}x & ¬{AB}x) -> {B}x | [
"fact7 -> int1: ããããã®ãŽã«ã
ãŽã¡ã
Lv.62ãå©çšããæããæ°é«ããšããããšã¯ãªããªãã°å£ãæã; int1 & fact4 -> int2: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯å£ãæã; int2 & fact1 -> int3: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯å匷ã; int3 & fact5 -> hypothesis;"
] | [
"fact7 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact4 -> int2: {B}{aa}; int2 & fact1 -> int3: {A}{aa}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãŽã«ã
ãŽã¡ã
Lv.62ãå£ãæããšããã°ããã¯å匷ã fact2: å©çšããæããŠæŽã«æ°é«ãã¢ã³ã¹ã¿ãŒã¯å£ãæã fact3: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯æ°é«ããªã fact4: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯å©çšããæãããããæ°é«ããªã fact5: ããä»®ã«ãã®ãŽã«ã
ãŽã¡ã
Lv.62ãå匷ããšããã°ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯æãŠãç¡ã fact6: ããä»®ã«ãã®ãŽã«ã
ãŽã¡ã
Lv.62ãå©çšããæãããããæ°é«ããªãããã¯å£ãæã fact7: ããå©çšããæãã¢ã³ã¹ã¿ãŒãæ°é«ããšããããšã¯ãªããšãããããã¯å£ãæã ; $hypothesis$ = ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯æãŠãç¡ã ; $proof$ = | fact7 -> int1: ããããã®ãŽã«ã
ãŽã¡ã
Lv.62ãå©çšããæããæ°é«ããšããããšã¯ãªããªãã°å£ãæã; int1 & fact4 -> int2: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯å£ãæã; int2 & fact1 -> int3: ãã®ãŽã«ã
ãŽã¡ã
Lv.62ã¯å匷ã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{aa} -> {A}{aa} fact2: (x): ({AA}x & {AB}x) -> {B}x fact3: ¬{AB}{aa} fact4: ({AA}{aa} & ¬{AB}{aa}) fact5: {A}{aa} -> {C}{aa} fact6: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact7: (x): ({AA}x & ¬{AB}x) -> {B}x ; $hypothesis$ = {C}{aa} ; $proof$ = | fact7 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact4 -> int2: {B}{aa}; int2 & fact1 -> int3: {A}{aa}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããããLv.27äºä»¶ãèµ·ãã | {C} | fact1: ããã«ãã¡ãLv.40äºä»¶ã§ã¯ãªããŠæº¶ãæããšããããšãçºçããããšããããšã¯åœã fact2: ãã«ãã¡ãLv.40äºä»¶ã¯èµ·ããªã | fact1: ¬(¬{A} & {B}) fact2: ¬{A} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããã溶ãæããšããããšãèµ·ãã; fact2 & assump1 -> int1: ãã«ãã¡ãLv.40äºä»¶ã¯çããªããŠæº¶ãæããšããããšãèµ·ãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: 溶ãæããšããããšã¯èµ·ãããªã;"
] | [
"void -> assump1: {B}; fact2 & assump1 -> int1: (¬{A} & {B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{B};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã«ãã¡ãLv.40äºä»¶ã§ã¯ãªããŠæº¶ãæããšããããšãçºçããããšããããšã¯åœã fact2: ãã«ãã¡ãLv.40äºä»¶ã¯èµ·ããªã ; $hypothesis$ = ããããLv.27äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{A} & {B}) fact2: ¬{A} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ããä»®ã«ãã®ãœã®ãœã®Lv.31ã¯éã
ãããšãããããã®ãŸããŸãLv.27ã¯æ³šç®ãããšããããšã¯æãç«ã€ | {A}{a} -> {B}{c} | fact1: ãã®ãœã®ãœã®Lv.31ã¯éã
ãããšããã°ããã®ãŽããŽãLv.46ã¯æž©ãããªããå ªãæããªãããšããããšã¯æãç«ããªã fact2: ä»®ã«ããæž©ãããªãããŸãå ªãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒããããšãããšãã®ãŸããŸãLv.27ã¯æ³šç®ã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯ééãæããªããšããããéã
ãããããã泚ç®ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯ã€ã¹ãããšããããšã¯ãªããšãããšãããã¯é Œããšããããšã¯ãªãããã©äŒæ¥ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact5: ä»®ã«ããã®ãŸããŸãLv.27ã¯éã£ãœãããšããããšã¯æãç«ã€ãšããããã®ãŽããŽãLv.46ã¯ã€ã¹ãããªã fact6: ãããããã¢ã³ã¹ã¿ãŒã¯éã
ãããã©æ³šç®ããšããããšã¯ãªãããšããããšã¯åã§ãããšããã°ããã¯æ³šç®ã fact7: ãã®ãŸããŸãLv.27ã¯éã£ãœãããããèœã¡é£ã | fact1: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}{c} fact3: (x): ¬{C}x -> ¬({A}x & ¬{B}x) fact4: (x): ¬{F}x -> ¬(¬{D}x & {E}x) fact5: {G}{c} -> ¬{F}{b} fact6: (x): ¬({A}x & ¬{B}x) -> {B}x fact7: ({G}{c} & {H}{c}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœã®ãœã®Lv.31ã¯éã
ãã; fact1 & assump1 -> int1: ããã®ãŽããŽãLv.46ã¯æž©ãããªããå ªãæããªãããšããããšã¯åœã ; int1 -> int2: ããæž©ãããªããããã«å ªãæããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact2 -> int3: ãã®ãŸããŸãLv.27ã¯æ³šç®ã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 -> int2: (Ex): ¬(¬{AA}x & ¬{AB}x); int2 & fact2 -> int3: {B}{c}; [assump1] & int3 -> hypothesis;"
] | ãã®ãœã®ãœã®Lv.31ã¯æ³šç®ã | {B}{a} | [
"fact11 -> int4: ãããããã®ãœã®ãœã®Lv.31ã¯éã
ããã泚ç®ãããªãããšããããšã¯åœã§ãããšãããšã泚ç®ãããšããããšã¯æ£ãã; fact9 -> int5: ä»®ã«ãã®ãœã®ãœã®Lv.31ã¯ééãæããªããšããã°ãéã
ãããã©æ³šç®ãããªãããšããããšã¯ç¢ºãã§ãªã; fact10 -> int6: ãã®ãŽããŽãLv.46ã¯ã€ã¹ãããªããšããã°ãããã¯é Œããšããããšã¯ãªããäŒæ¥ããããšããããšã¯äºå®ãšç°ãªã; fact8 -> int7: ãã®ãŸããŸãLv.27ã¯éã£ãœã; fact12 & int7 -> int8: ãã®ãŽããŽãLv.46ã¯ã€ã¹ãããªã; int6 & int8 -> int9: ããã®ãŽããŽãLv.46ã¯é Œããªãäžæ¹ã§äŒæ¥ããããšããããšã¯åã§ãã; int9 -> int10: ããé ŒããªããŠããã«äŒæ¥ããããšããããšã¯åœãªãã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã®ãœã®Lv.31ã¯éã
ãããšããã°ããã®ãŽããŽãLv.46ã¯æž©ãããªããå ªãæããªãããšããããšã¯æãç«ããªã fact2: ä»®ã«ããæž©ãããªãããŸãå ªãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒããããšãããšãã®ãŸããŸãLv.27ã¯æ³šç®ã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯ééãæããªããšããããéã
ãããããã泚ç®ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯ã€ã¹ãããšããããšã¯ãªããšãããšãããã¯é Œããšããããšã¯ãªãããã©äŒæ¥ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact5: ä»®ã«ããã®ãŸããŸãLv.27ã¯éã£ãœãããšããããšã¯æãç«ã€ãšããããã®ãŽããŽãLv.46ã¯ã€ã¹ãããªã fact6: ãããããã¢ã³ã¹ã¿ãŒã¯éã
ãããã©æ³šç®ããšããããšã¯ãªãããšããããšã¯åã§ãããšããã°ããã¯æ³šç®ã fact7: ãã®ãŸããŸãLv.27ã¯éã£ãœãããããèœã¡é£ã ; $hypothesis$ = ããä»®ã«ãã®ãœã®ãœã®Lv.31ã¯éã
ãããšãããããã®ãŸããŸãLv.27ã¯æ³šç®ãããšããããšã¯æãç«ã€ ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœã®ãœã®Lv.31ã¯éã
ãã; fact1 & assump1 -> int1: ããã®ãŽããŽãLv.46ã¯æž©ãããªããå ªãæããªãããšããããšã¯åœã ; int1 -> int2: ããæž©ãããªããããã«å ªãæããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact2 -> int3: ãã®ãŸããŸãLv.27ã¯æ³šç®ã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact2: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}{c} fact3: (x): ¬{C}x -> ¬({A}x & ¬{B}x) fact4: (x): ¬{F}x -> ¬(¬{D}x & {E}x) fact5: {G}{c} -> ¬{F}{b} fact6: (x): ¬({A}x & ¬{B}x) -> {B}x fact7: ({G}{c} & {H}{c}) ; $hypothesis$ = {A}{a} -> {B}{c} ; $proof$ = | void -> assump1: {A}{a}; fact1 & assump1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 -> int2: (Ex): ¬(¬{AA}x & ¬{AB}x); int2 & fact2 -> int3: {B}{c}; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ã·ãã·ãLv.77äºä»¶ãçºçãã | {A} | fact1: ãå«å³ã£ãœããšããããšã¯èµ·ãããªããŠé
·ããšããããšã¯çããªãããšããããšã¯ãã·ãã·ãLv.77äºä»¶ã¯çããªãããšããããšãæã fact2: åè§ããšããããšã¯çããªããªãã°ãã·ã«ãã·ã«ãLv.27äºä»¶ãçããããã©ã¡ãããŸããããšã¯èµ·ããªãããšããããšã¯åã fact3: åãç¶ããããšã¯çããªã fact4: åè§ããšããããšã¯çããªã fact5: èã£ãããšããããšã¯èµ·ããªã fact6: ããå«å³ã£ãœããšããããšã¯èµ·ãããªããŠããã«é
·ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ããšããããšã¯ãå«å³ã£ãœããšããããšã¯èµ·ããªãããšããããšã«ããçºçãã | fact1: (¬{B} & ¬{C}) -> ¬{A} fact2: ¬{D} -> ¬({AA} & ¬{AB}) fact3: ¬{IP} fact4: ¬{D} fact5: ¬{IH} fact6: ¬{B} -> (¬{B} & ¬{C}) | [
"fact2 & fact4 -> int1: ãã·ã«ãã·ã«ãLv.27äºä»¶ã¯çºçãããã¡ãããŸããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã;"
] | [
"fact2 & fact4 -> int1: ¬({AA} & ¬{AB});"
] | null | null | [] | null | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãå«å³ã£ãœããšããããšã¯èµ·ãããªããŠé
·ããšããããšã¯çããªãããšããããšã¯ãã·ãã·ãLv.77äºä»¶ã¯çããªãããšããããšãæã fact2: åè§ããšããããšã¯çããªããªãã°ãã·ã«ãã·ã«ãLv.27äºä»¶ãçããããã©ã¡ãããŸããããšã¯èµ·ããªãããšããããšã¯åã fact3: åãç¶ããããšã¯çããªã fact4: åè§ããšããããšã¯çããªã fact5: èã£ãããšããããšã¯èµ·ããªã fact6: ããå«å³ã£ãœããšããããšã¯èµ·ãããªããŠããã«é
·ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ããšããããšã¯ãå«å³ã£ãœããšããããšã¯èµ·ããªãããšããããšã«ããçºçãã ; $hypothesis$ = ã·ãã·ãLv.77äºä»¶ãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{B} & ¬{C}) -> ¬{A} fact2: ¬{D} -> ¬({AA} & ¬{AB}) fact3: ¬{IP} fact4: ¬{D} fact5: ¬{IH} fact6: ¬{B} -> (¬{B} & ¬{C}) ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãæ°é£ãããšããããšã¯èµ·ãããªãããšããããšã¯çå®ã | ¬{B} | fact1: 綎ããããšãèµ·ãã fact2: ãŸãªãŸã®Lv.89äºä»¶ãèµ·ãã fact3: ãŸãªãŸã®Lv.89äºä»¶ãçºçããªããšããããšã¯ã綎ããããšãšæ°é£ãããšããããšãèµ·ããããšããããšã¯ãã£ããã§ãã | fact1: {A} fact2: {C} fact3: ({A} & {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããæ°é£ãããšããããšãçºçããããšããããšã¯æãç«ã€; fact1 & assump1 -> int1: 綎ããããšãèµ·ããããããæ°é£ãããšããããšãçºçãã; int1 & fact3 -> int2: ãŸãªãŸã®Lv.89äºä»¶ã¯çããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact1 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: 綎ããããšãèµ·ãã fact2: ãŸãªãŸã®Lv.89äºä»¶ãèµ·ãã fact3: ãŸãªãŸã®Lv.89äºä»¶ãçºçããªããšããããšã¯ã綎ããããšãšæ°é£ãããšããããšãèµ·ããããšããããšã¯ãã£ããã§ãã ; $hypothesis$ = ãæ°é£ãããšããããšã¯èµ·ãããªãããšããããšã¯çå®ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããæ°é£ãããšããããšãçºçããããšããããšã¯æãç«ã€; fact1 & assump1 -> int1: 綎ããããšãèµ·ããããããæ°é£ãããšããããšãçºçãã; int1 & fact3 -> int2: ãŸãªãŸã®Lv.89äºä»¶ã¯çããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {C} fact3: ({A} & {B}) -> ¬{C} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {B}; fact1 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãŸããŸãLv.94äºä»¶ã¯çºçããªã | ¬{E} | fact1: èå¯ããšããããšã¯èµ·ããªã fact2: 衚瀺ãåããããšãèµ·ããªããšããããšããŸãã¯å ãããšã¯çºçããªããšããããšã¯ã¿ãã¿ãªLv.68äºä»¶ã«èµ·å ãã fact3: ä»®ã«ããŽã«ããŽã«ã
Lv.16äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã ãšããã°ãŸããŸãLv.94äºä»¶ãšã¿ãã¿ãªLv.68äºä»¶äž¡æ¹ãšããèµ·ãã fact4: 衚瀺ãåããããšãèµ·ããããŸãã¯å ãããšã¯çºçããªãããŸãã¯ã©ã¡ããã fact5: ãŸããŸãLv.94äºä»¶ã¯ã衚瀺ãåããããšãçããªããå ãããšã¯èµ·ãããªãããããã¯äž¡æ¹ã ããšããããšã«é»ãŸãã fact6: ã¿ãã¿ãªLv.68äºä»¶ãšãŽã«ããŽã«ã
Lv.16äºä»¶ãçºçããã¯èå¯ããšããããšã¯çºçããªããšããããšã¯å¥æ©ã fact7: ããŽã«ããŽã«ã
Lv.16äºä»¶ãšè¡šç€ºãåããããšãèµ·ããããšããããšã¯æãç«ããªããšããã°ãŽã«ããŽã«ã
Lv.16äºä»¶ã¯çããªã | fact1: ¬{F} fact2: {A} -> (¬{D} v ¬{C}) fact3: ¬{B} -> ({E} & {A}) fact4: ({D} v ¬{C}) fact5: (¬{D} v ¬{C}) -> ¬{E} fact6: ¬{F} -> ({A} & {B}) fact7: ¬({B} & {D}) -> ¬{B} | [
"fact6 & fact1 -> int1: ãã¿ãã¿ãªLv.68äºä»¶ãçãããããããŽã«ããŽã«ã
Lv.16äºä»¶ãçããããšããããšã¯äºå®ã§ãã; int1 -> int2: ã¿ãã¿ãªLv.68äºä»¶ãèµ·ãã; int2 & fact2 -> int3: 衚瀺ãåããããšãèµ·ãããªããå ãããšã¯çããªã; int3 & fact5 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact2 -> int3: (¬{D} v ¬{C}); int3 & fact5 -> hypothesis;"
] | ãŸããŸãLv.94äºä»¶ãèµ·ãã | {E} | [] | 7 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: èå¯ããšããããšã¯èµ·ããªã fact2: 衚瀺ãåããããšãèµ·ããªããšããããšããŸãã¯å ãããšã¯çºçããªããšããããšã¯ã¿ãã¿ãªLv.68äºä»¶ã«èµ·å ãã fact3: ä»®ã«ããŽã«ããŽã«ã
Lv.16äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã ãšããã°ãŸããŸãLv.94äºä»¶ãšã¿ãã¿ãªLv.68äºä»¶äž¡æ¹ãšããèµ·ãã fact4: 衚瀺ãåããããšãèµ·ããããŸãã¯å ãããšã¯çºçããªãããŸãã¯ã©ã¡ããã fact5: ãŸããŸãLv.94äºä»¶ã¯ã衚瀺ãåããããšãçããªããå ãããšã¯èµ·ãããªãããããã¯äž¡æ¹ã ããšããããšã«é»ãŸãã fact6: ã¿ãã¿ãªLv.68äºä»¶ãšãŽã«ããŽã«ã
Lv.16äºä»¶ãçºçããã¯èå¯ããšããããšã¯çºçããªããšããããšã¯å¥æ©ã fact7: ããŽã«ããŽã«ã
Lv.16äºä»¶ãšè¡šç€ºãåããããšãèµ·ããããšããããšã¯æãç«ããªããšããã°ãŽã«ããŽã«ã
Lv.16äºä»¶ã¯çããªã ; $hypothesis$ = ãŸããŸãLv.94äºä»¶ã¯çºçããªã ; $proof$ = | fact6 & fact1 -> int1: ãã¿ãã¿ãªLv.68äºä»¶ãçãããããããŽã«ããŽã«ã
Lv.16äºä»¶ãçããããšããããšã¯äºå®ã§ãã; int1 -> int2: ã¿ãã¿ãªLv.68äºä»¶ãèµ·ãã; int2 & fact2 -> int3: 衚瀺ãåããããšãèµ·ãããªããå ãããšã¯çããªã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F} fact2: {A} -> (¬{D} v ¬{C}) fact3: ¬{B} -> ({E} & {A}) fact4: ({D} v ¬{C}) fact5: (¬{D} v ¬{C}) -> ¬{E} fact6: ¬{F} -> ({A} & {B}) fact7: ¬({B} & {D}) -> ¬{B} ; $hypothesis$ = ¬{E} ; $proof$ = | fact6 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact2 -> int3: (¬{D} v ¬{C}); int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽã«Lv.37ã¯äººæãããªã | ¬{C}{a} | fact1: è¿·ãæããªãã¢ã³ã¹ã¿ãŒã¯ãããè¯ããšããããšã¯ãªããŠç±ã£ãœããªã fact2: ããããããã®ãŽããŽã«Lv.37ã¯ç±ã£ãœããšããããšã¯ãªããŠããã«ããã¯ç¡è³¢ããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ãšãããšãã®ãŽããŽã«Lv.37ã¯äººæãããšããããšã¯ãªã fact3: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯äžãé£ããªããŠå¯ŸåŠãããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªããªãã°ããã¯çŽ 人ã£ãœããªã fact4: ããããã®ã¿ã«ã¿ã«ã
Lv.45ã¯ç±ã£ãœããšããããšã¯ãªããšããã°ããã®ãŽããŽã«Lv.37ã¯ç±ã£ãœããªããããã«ããã¯ç¡è³¢ããªãããšããããšã¯èª€ã£ãŠãã fact5: ãã®ã¿ã«ã¿ã«ã
Lv.45ã¯è¿·ãæããªã | fact1: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact2: ¬(¬{AB}{a} & ¬{B}{a}) -> ¬{C}{a} fact3: (x): ¬(¬{DU}x & ¬{EI}x) -> ¬{BS}x fact4: ¬{AB}{aa} -> ¬(¬{AB}{a} & ¬{B}{a}) fact5: ¬{A}{aa} | [
"fact1 -> int1: ãã®ã¿ã«ã¿ã«ã
Lv.45ãè¿·ãæããªããªããã®ã¿ã«ã¿ã«ã
Lv.45ã¯ãããè¯ããªããŠããã«ããã¯ç±ã£ãœããªã; int1 & fact5 -> int2: ãã®ã¿ã«ã¿ã«ã
Lv.45ã¯ãããè¯ããªããŠãããããã¯ç±ã£ãœããªã; int2 -> int3: ãã®ã¿ã«ã¿ã«ã
Lv.45ã¯ç±ã£ãœããªã; int3 & fact4 -> int4: ãããã®ãŽããŽã«Lv.37ã¯ç±ã£ãœããšããããšã¯ãªãããã€ç¡è³¢ããªãããšããããšã¯èª€ã£ãŠããªãããšããããšã¯åã§ãã; int4 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact5 -> int2: (¬{AA}{aa} & ¬{AB}{aa}); int2 -> int3: ¬{AB}{aa}; int3 & fact4 -> int4: ¬(¬{AB}{a} & ¬{B}{a}); int4 & fact2 -> hypothesis;"
] | ä»®ã«ããã®ã¿ã«ã¿ã«ã
Lv.45ã¯äžãé£ããªãããã®äžå¯ŸåŠããªãããšããããšã¯èª€ã£ãŠãããšããã°çŽ 人ã£ãœããªã | ¬(¬{DU}{aa} & ¬{EI}{aa}) -> ¬{BS}{aa} | [
"fact6 -> hypothesis;"
] | 1 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: è¿·ãæããªãã¢ã³ã¹ã¿ãŒã¯ãããè¯ããšããããšã¯ãªããŠç±ã£ãœããªã fact2: ããããããã®ãŽããŽã«Lv.37ã¯ç±ã£ãœããšããããšã¯ãªããŠããã«ããã¯ç¡è³¢ããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ãšãããšãã®ãŽããŽã«Lv.37ã¯äººæãããšããããšã¯ãªã fact3: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯äžãé£ããªããŠå¯ŸåŠãããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªããªãã°ããã¯çŽ 人ã£ãœããªã fact4: ããããã®ã¿ã«ã¿ã«ã
Lv.45ã¯ç±ã£ãœããšããããšã¯ãªããšããã°ããã®ãŽããŽã«Lv.37ã¯ç±ã£ãœããªããããã«ããã¯ç¡è³¢ããªãããšããããšã¯èª€ã£ãŠãã fact5: ãã®ã¿ã«ã¿ã«ã
Lv.45ã¯è¿·ãæããªã ; $hypothesis$ = ãã®ãŽããŽã«Lv.37ã¯äººæãããªã ; $proof$ = | fact1 -> int1: ãã®ã¿ã«ã¿ã«ã
Lv.45ãè¿·ãæããªããªããã®ã¿ã«ã¿ã«ã
Lv.45ã¯ãããè¯ããªããŠããã«ããã¯ç±ã£ãœããªã; int1 & fact5 -> int2: ãã®ã¿ã«ã¿ã«ã
Lv.45ã¯ãããè¯ããªããŠãããããã¯ç±ã£ãœããªã; int2 -> int3: ãã®ã¿ã«ã¿ã«ã
Lv.45ã¯ç±ã£ãœããªã; int3 & fact4 -> int4: ãããã®ãŽããŽã«Lv.37ã¯ç±ã£ãœããšããããšã¯ãªãããã€ç¡è³¢ããªãããšããããšã¯èª€ã£ãŠããªãããšããããšã¯åã§ãã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact2: ¬(¬{AB}{a} & ¬{B}{a}) -> ¬{C}{a} fact3: (x): ¬(¬{DU}x & ¬{EI}x) -> ¬{BS}x fact4: ¬{AB}{aa} -> ¬(¬{AB}{a} & ¬{B}{a}) fact5: ¬{A}{aa} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact5 -> int2: (¬{AA}{aa} & ¬{AB}{aa}); int2 -> int3: ¬{AB}{aa}; int3 & fact4 -> int4: ¬(¬{AB}{a} & ¬{B}{a}); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŽã«ã
ãŽã«ã
Lv.58ã¯è奮ãæããšããããšã¯ãªããããã«ä¿é²åºæ¥ãªã | (¬{A}{aa} & ¬{B}{aa}) | fact1: ãã®ã¿ãã¿ãLv.22ã¯ä¿é²åºæ¥ã fact2: è奮ãæããªãã¢ã³ã¹ã¿ãŒã¯è¥ããšããããšã¯ãªããŠããã«åŸãã£ãœããªã fact3: ãã®ã¿ãã¿ãLv.22ãæã£ãããªããªããã®ã¿ãã¿ãLv.22ã¯ä¿é²åºæ¥ããå ããŠçºçãæã fact4: ãã®ãŽããŽãLv.78ãä¿é²åºæ¥ããšãããšãã®ã¿ãã¿ãLv.22ã¯è奮ãæããªã fact5: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè奮ãæããªããŠããŸãã«ä¿é²åºæ¥ããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ãLv.22ã¯çºçãæã fact6: ãã®ã¿ãã¿ãLv.22ã¯çºçãæããªã | fact1: {B}{a} fact2: (x): ¬{A}x -> (¬{IF}x & ¬{DT}x) fact3: ¬{D}{a} -> ({B}{a} & {C}{a}) fact4: {B}{b} -> ¬{A}{a} fact5: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact6: ¬{C}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ã
ãŽã«ã
Lv.58ã¯è奮ãæããšããããšã¯ãªããããã«ä¿é²åºæ¥ãªã; assump1 -> int1: ãè奮ãæããªããå ããŠä¿é²åºæ¥ãªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact5 -> int2: ãã®ã¿ãã¿ãLv.22ã¯çºçãæã; int2 & fact6 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: (¬{A}{aa} & ¬{B}{aa}); assump1 -> int1: (Ex): (¬{A}x & ¬{B}x); int1 & fact5 -> int2: {C}{a}; int2 & fact6 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | è¥ããªããŠåŸãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{IF}x & ¬{DT}x) | [
"fact7 -> int4: ããä»®ã«ãã®ã¿ãã¿ãLv.22ã¯è奮ãæããªããªãããã®ã¿ãã¿ãLv.22ã¯è¥ããªããŠãã®äžåŸãã£ãœããªãããšããããšã¯çå®ã ;"
] | 6 | 5 | 3 | 5 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.22ã¯ä¿é²åºæ¥ã fact2: è奮ãæããªãã¢ã³ã¹ã¿ãŒã¯è¥ããšããããšã¯ãªããŠããã«åŸãã£ãœããªã fact3: ãã®ã¿ãã¿ãLv.22ãæã£ãããªããªããã®ã¿ãã¿ãLv.22ã¯ä¿é²åºæ¥ããå ããŠçºçãæã fact4: ãã®ãŽããŽãLv.78ãä¿é²åºæ¥ããšãããšãã®ã¿ãã¿ãLv.22ã¯è奮ãæããªã fact5: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè奮ãæããªããŠããŸãã«ä¿é²åºæ¥ããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ãLv.22ã¯çºçãæã fact6: ãã®ã¿ãã¿ãLv.22ã¯çºçãæããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŽã«ã
ãŽã«ã
Lv.58ã¯è奮ãæããšããããšã¯ãªããããã«ä¿é²åºæ¥ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ã
ãŽã«ã
Lv.58ã¯è奮ãæããšããããšã¯ãªããããã«ä¿é²åºæ¥ãªã; assump1 -> int1: ãè奮ãæããªããå ããŠä¿é²åºæ¥ãªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact5 -> int2: ãã®ã¿ãã¿ãLv.22ã¯çºçãæã; int2 & fact6 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: (x): ¬{A}x -> (¬{IF}x & ¬{DT}x) fact3: ¬{D}{a} -> ({B}{a} & {C}{a}) fact4: {B}{b} -> ¬{A}{a} fact5: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact6: ¬{C}{a} ; $hypothesis$ = (¬{A}{aa} & ¬{B}{aa}) ; $proof$ = | void -> assump1: (¬{A}{aa} & ¬{B}{aa}); assump1 -> int1: (Ex): (¬{A}x & ¬{B}x); int1 & fact5 -> int2: {C}{a}; int2 & fact6 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ããŸãLv.4ã¯åãæããªã | ¬{B}{aa} | fact1: ããã埡æ§ãç¡ãã¢ã³ã¹ã¿ãŒã¯ç¹æ®ãæããªããšãããåãæããªã | fact1: (x): ({AA}x & ¬{AB}x) -> ¬{B}x | [
"fact1 -> int1: ãããããã®ãŸã«ããŸãLv.4ã¯åŸ¡æ§ãç¡ããç¹æ®ãæããªãããšããããšã¯æ£ãããªããã®ãŸã«ããŸãLv.4ã¯åãæããªã;"
] | [
"fact1 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã埡æ§ãç¡ãã¢ã³ã¹ã¿ãŒã¯ç¹æ®ãæããªããšãããåãæããªã ; $hypothesis$ = ãã®ãŸã«ããŸãLv.4ã¯åãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({AA}x & ¬{AB}x) -> ¬{B}x ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | é·ãŒããšããããšã¯çããªã | ¬{G} | fact1: ããŽããŽãªLv.85äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ fact2: ãŽããŽãªLv.85äºä»¶ã¯é·ãŒããšããããšãèªçºãã fact3: ãããç©ããšããããšã¯èµ·ãããªããšããã移ãé£ããšããããšã§ã¯ãªãæ¯æ·±ããšããããšãèµ·ãã fact4: ããã移ãé£ããšããããšãšç©ããšããããšãçºçããããšããããšã¯èª€ã£ãŠãããªãé·ãŒããšããããšã¯çºçããªã fact5: ããæ¯æ·±ããšããããšã¯èµ·ãããªããšãããã移ãé£ããšããããšããã³ç©ããšããããšäž¡æ¹ãçããããšããããšã¯æãç«ããªã fact6: æ²¹ã£ãœããšããããšã¯çºçããªã fact7: ä»®ã«ãœã¡ããœã«ãLv.88äºä»¶ãçºçããªããå ããŠã·ãã·ãLv.75äºä»¶ã¯çããªããªãã°æ¯æ·±ããšããããšã¯çããªã fact8: ãæ¯æ·±ããšããããšã¯èµ·ããªãããšããããšã¯ããœã¡ããœã«ãLv.88äºä»¶ã¯çºçãããã·ãã·ãLv.75äºä»¶ã¯çºçããªãããšããããšãåå ã fact9: é¿ãé£ããšããããšã¯çºçããªã fact10: ãœã¡ããœã«ãLv.88äºä»¶ã¯ããŽããŽãªLv.85äºä»¶ã¯çºçããªãããšããããšã«é»æ¢ããã | fact1: ¬{A} fact2: {A} -> {G} fact3: ¬{F} -> (¬{E} & {D}) fact4: ¬({E} & {F}) -> ¬{G} fact5: ¬{D} -> ¬({E} & {F}) fact6: ¬{CC} fact7: (¬{B} & ¬{C}) -> ¬{D} fact8: ({B} & ¬{C}) -> ¬{D} fact9: ¬{GP} fact10: ¬{A} -> ¬{B} | [
"fact10 & fact1 -> int1: ãœã¡ããœã«ãLv.88äºä»¶ã¯èµ·ããªã;"
] | [
"fact10 & fact1 -> int1: ¬{B};"
] | ãé·ãŒããšããããšãèµ·ããããšããããšã¯æãç«ã€ | {G} | [] | 6 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŽããŽãªLv.85äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ fact2: ãŽããŽãªLv.85äºä»¶ã¯é·ãŒããšããããšãèªçºãã fact3: ãããç©ããšããããšã¯èµ·ãããªããšããã移ãé£ããšããããšã§ã¯ãªãæ¯æ·±ããšããããšãèµ·ãã fact4: ããã移ãé£ããšããããšãšç©ããšããããšãçºçããããšããããšã¯èª€ã£ãŠãããªãé·ãŒããšããããšã¯çºçããªã fact5: ããæ¯æ·±ããšããããšã¯èµ·ãããªããšãããã移ãé£ããšããããšããã³ç©ããšããããšäž¡æ¹ãçããããšããããšã¯æãç«ããªã fact6: æ²¹ã£ãœããšããããšã¯çºçããªã fact7: ä»®ã«ãœã¡ããœã«ãLv.88äºä»¶ãçºçããªããå ããŠã·ãã·ãLv.75äºä»¶ã¯çããªããªãã°æ¯æ·±ããšããããšã¯çããªã fact8: ãæ¯æ·±ããšããããšã¯èµ·ããªãããšããããšã¯ããœã¡ããœã«ãLv.88äºä»¶ã¯çºçãããã·ãã·ãLv.75äºä»¶ã¯çºçããªãããšããããšãåå ã fact9: é¿ãé£ããšããããšã¯çºçããªã fact10: ãœã¡ããœã«ãLv.88äºä»¶ã¯ããŽããŽãªLv.85äºä»¶ã¯çºçããªãããšããããšã«é»æ¢ããã ; $hypothesis$ = é·ãŒããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} fact2: {A} -> {G} fact3: ¬{F} -> (¬{E} & {D}) fact4: ¬({E} & {F}) -> ¬{G} fact5: ¬{D} -> ¬({E} & {F}) fact6: ¬{CC} fact7: (¬{B} & ¬{C}) -> ¬{D} fact8: ({B} & ¬{C}) -> ¬{D} fact9: ¬{GP} fact10: ¬{A} -> ¬{B} ; $hypothesis$ = ¬{G} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãã¡ãããªLv.88ã¯å·ä»ãæããªã | ¬{A}{a} | fact1: ããä»®ã«ãã®ãã¡ãããªLv.88ãå·ä»ãæããªããšããã°ãã®ããããLv.28ã¯çœ¹æ£ãæããŠãŸãåžžåšãã fact2: ãã®ããããLv.28ã¯åžžåšãããšããããšã¯ãªã | fact1: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact2: ¬{AB}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã¡ãããªLv.88ã¯å·ä»ãæããªã; fact1 & assump1 -> int1: ãã®ããããLv.28ã¯çœ¹æ£ãæããŠåžžåšãã; int1 -> int2: ãã®ããããLv.28ã¯åžžåšãã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: ({AA}{b} & {AB}{b}); int1 -> int2: {AB}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãã¡ãããªLv.88ãå·ä»ãæããªããšããã°ãã®ããããLv.28ã¯çœ¹æ£ãæããŠãŸãåžžåšãã fact2: ãã®ããããLv.28ã¯åžžåšãããšããããšã¯ãªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãã¡ãããªLv.88ã¯å·ä»ãæããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã¡ãããªLv.88ã¯å·ä»ãæããªã; fact1 & assump1 -> int1: ãã®ããããLv.28ã¯çœ¹æ£ãæããŠåžžåšãã; int1 -> int2: ãã®ããããLv.28ã¯åžžåšãã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact2: ¬{AB}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: ({AA}{b} & {AB}{b}); int1 -> int2: {AB}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | æ²¹ã£ãœããšããããšã§ã¯ãªããŠæ³¥èããšããããšãèµ·ãã | (¬{D} & {F}) | fact1: æ³¥èããšããããšãçãã fact2: å¿ãæããšããããšã¯èµ·ãããªããšããããšã¯ããœã«ãœã«Lv.42äºä»¶ã¯çºçããªãããšããããšãé²ã fact3: æ¶ç¯ããããšãèµ·ãã fact4: ä»®ã«å¿ãã£ãœããšããããšã¯çºçããªããªããœã«ãœã«Lv.42äºä»¶ã§ã¯ãªãå¿ãæããšããããšãèµ·ãã fact5: ããä»®ã«å¿ãæããšããããšã¯çããªããªãã°æ²¹ã£ãœããšããããšã¯çããªãããœã«ãœã«Lv.42äºä»¶ãçãã fact6: ããã·ãã·ãLv.96äºä»¶ã¯çããªããšããã°ãæ²¹ã£ãœããšããããšã§ã¯ãªãæ³¥èããšããããšãèµ·ããããšããããšã¯çå®ã ãšããããšã¯ãªã fact7: ãœã«ãœã«Lv.42äºä»¶ãèµ·ãã fact8: ã·ãã·ãLv.96äºä»¶ã¯å¿ãæããšããããšã¯çããªããšããããšãçºçããã fact9: ããã·ãã·ãLv.96äºä»¶ãèµ·ãããæ¶ç¯ããããšãèµ·ããã°å¿ãæããšããããšã¯çºçããªã | fact1: {F} fact2: ¬{C} -> {E} fact3: {B} fact4: ¬{G} -> (¬{E} & {C}) fact5: ¬{C} -> (¬{D} & {E}) fact6: ¬{A} -> ¬(¬{D} & {F}) fact7: {E} fact8: {A} -> ¬{C} fact9: ({A} v {B}) -> ¬{C} | [
"fact3 -> int1: ã·ãã·ãLv.96äºä»¶ããããã¯æ¶ç¯ããããšããããã¯äž¡æ¹ãèµ·ãã; int1 & fact9 -> int2: å¿ãæããšããããšã¯çºçããªã; int2 & fact5 -> int3: æ²¹ã£ãœããšããããšã¯èµ·ãããªãäžæ¹ã§ãœã«ãœã«Lv.42äºä»¶ãçºçãã; int3 -> int4: æ²¹ã£ãœããšããããšã¯èµ·ããªã; int4 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact9 -> int2: ¬{C}; int2 & fact5 -> int3: (¬{D} & {E}); int3 -> int4: ¬{D}; int4 & fact1 -> hypothesis;"
] | ãæ²¹ã£ãœããšããããšã¯çºçããªããæ³¥èããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã | ¬(¬{D} & {F}) | [] | 7 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æ³¥èããšããããšãçãã fact2: å¿ãæããšããããšã¯èµ·ãããªããšããããšã¯ããœã«ãœã«Lv.42äºä»¶ã¯çºçããªãããšããããšãé²ã fact3: æ¶ç¯ããããšãèµ·ãã fact4: ä»®ã«å¿ãã£ãœããšããããšã¯çºçããªããªããœã«ãœã«Lv.42äºä»¶ã§ã¯ãªãå¿ãæããšããããšãèµ·ãã fact5: ããä»®ã«å¿ãæããšããããšã¯çããªããªãã°æ²¹ã£ãœããšããããšã¯çããªãããœã«ãœã«Lv.42äºä»¶ãçãã fact6: ããã·ãã·ãLv.96äºä»¶ã¯çããªããšããã°ãæ²¹ã£ãœããšããããšã§ã¯ãªãæ³¥èããšããããšãèµ·ããããšããããšã¯çå®ã ãšããããšã¯ãªã fact7: ãœã«ãœã«Lv.42äºä»¶ãèµ·ãã fact8: ã·ãã·ãLv.96äºä»¶ã¯å¿ãæããšããããšã¯çããªããšããããšãçºçããã fact9: ããã·ãã·ãLv.96äºä»¶ãèµ·ãããæ¶ç¯ããããšãèµ·ããã°å¿ãæããšããããšã¯çºçããªã ; $hypothesis$ = æ²¹ã£ãœããšããããšã§ã¯ãªããŠæ³¥èããšããããšãèµ·ãã ; $proof$ = | fact3 -> int1: ã·ãã·ãLv.96äºä»¶ããããã¯æ¶ç¯ããããšããããã¯äž¡æ¹ãèµ·ãã; int1 & fact9 -> int2: å¿ãæããšããããšã¯çºçããªã; int2 & fact5 -> int3: æ²¹ã£ãœããšããããšã¯èµ·ãããªãäžæ¹ã§ãœã«ãœã«Lv.42äºä»¶ãçºçãã; int3 -> int4: æ²¹ã£ãœããšããããšã¯èµ·ããªã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {F} fact2: ¬{C} -> {E} fact3: {B} fact4: ¬{G} -> (¬{E} & {C}) fact5: ¬{C} -> (¬{D} & {E}) fact6: ¬{A} -> ¬(¬{D} & {F}) fact7: {E} fact8: {A} -> ¬{C} fact9: ({A} v {B}) -> ¬{C} ; $hypothesis$ = (¬{D} & {F}) ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact9 -> int2: ¬{C}; int2 & fact5 -> int3: (¬{D} & {E}); int3 -> int4: ¬{D}; int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœãªãœã®Lv.45ã¯ç解ãèŸã | {B}{b} | fact1: ãããããã®ã¿ãã¿ãLv.38ã¯èŠçªãããããšããããšã¯ç¢ºãã§ãããªãã°ãã®ãœãªãœã®Lv.45ã¯ç解ãèŸã fact2: ãããã®ã¿ãã¿ãLv.38ãå·ä»ãæããªããšããããã®ãœãªãœã®Lv.45ã¯èŠçªããããæŽã«ããã¯ç解ãèŸã fact3: ãã®ã¿ãã¿ãLv.38ã¯èŠçªããã | fact1: {A}{a} -> {B}{b} fact2: ¬{C}{a} -> ({A}{b} & {B}{b}) fact3: {A}{a} | [
"fact3 -> int1: ãã®ã¿ãã¿ãLv.38ã¯èŠçªããã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãœãªãœã®Lv.45ã¯èŠçªããã | {A}{b} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããã®ã¿ãã¿ãLv.38ã¯èŠçªãããããšããããšã¯ç¢ºãã§ãããªãã°ãã®ãœãªãœã®Lv.45ã¯ç解ãèŸã fact2: ãããã®ã¿ãã¿ãLv.38ãå·ä»ãæããªããšããããã®ãœãªãœã®Lv.45ã¯èŠçªããããæŽã«ããã¯ç解ãèŸã fact3: ãã®ã¿ãã¿ãLv.38ã¯èŠçªããã ; $hypothesis$ = ãã®ãœãªãœã®Lv.45ã¯ç解ãèŸã ; $proof$ = | fact3 -> int1: ãã®ã¿ãã¿ãLv.38ã¯èŠçªããã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: ¬{C}{a} -> ({A}{b} & {B}{b}) fact3: {A}{a} ; $hypothesis$ = {B}{b} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸãªãŸãLv.58ã¯æ§åããã | {D}{a} | fact1: ããã®ã·ãã·ã«ã
Lv.77ã¯ç®å
¥ããããšããããšã¯æãç«ã€ fact2: ããã¯æµè¡ãå§ãããå±ãªã£ããããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããä»®ã«ããã®ã·ãã·ã«ã
Lv.77ã¯æµè¡ãå§ããäžæ¹ã§å±ãªã£ããããªãããšããããšã¯æãç«ããªããªãçµã³ä»ãæã fact4: ä»®ã«ãã®ã·ãã·ã«ã
Lv.77ãçµã³ä»ãæããšããã°ãã®ã·ãã·ã«ã
Lv.77ã¯æž©ãã fact5: ããã¯æµè¡ãå§ãããããã«å±ãªã£ããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ãã®ã·ãã·ã«Lv.11ãç®å
¥ããäžæ¹ã§æž©ãããªããšããããã®ãŸãªãŸãLv.58ã¯æž©ãããšããããšã¯ãªã | fact1: {C}{aa} fact2: (x): ¬({AA}x & {AB}x) fact3: ¬({AA}{aa} & ¬{AB}{aa}) -> {A}{aa} fact4: {A}{aa} -> {B}{aa} fact5: (x): ¬({AA}x & ¬{AB}x) fact6: ({C}{b} & ¬{B}{b}) -> ¬{B}{a} | [
"fact5 -> int1: ããã®ã·ãã·ã«ã
Lv.77ã¯æµè¡ãå§ããããããå±ãªã£ããããªãããšããããšã¯æãç«ããªã; int1 & fact3 -> int2: ãã®ã·ãã·ã«ã
Lv.77ã¯çµã³ä»ãæã; int2 & fact4 -> int3: ãã®ã·ãã·ã«ã
Lv.77ã¯æž©ãã; int3 & fact1 -> int4: ãã®ã·ãã·ã«ã
Lv.77ã¯æž©ãããããã¯ç®å
¥ãã;"
] | [
"fact5 -> int1: ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> int2: {A}{aa}; int2 & fact4 -> int3: {B}{aa}; int3 & fact1 -> int4: ({B}{aa} & {C}{aa});"
] | ãã®ãŸãªãŸãLv.58ã¯æ§åããã | {D}{a} | [] | 5 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã®ã·ãã·ã«ã
Lv.77ã¯ç®å
¥ããããšããããšã¯æãç«ã€ fact2: ããã¯æµè¡ãå§ãããå±ãªã£ããããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ããä»®ã«ããã®ã·ãã·ã«ã
Lv.77ã¯æµè¡ãå§ããäžæ¹ã§å±ãªã£ããããªãããšããããšã¯æãç«ããªããªãçµã³ä»ãæã fact4: ä»®ã«ãã®ã·ãã·ã«ã
Lv.77ãçµã³ä»ãæããšããã°ãã®ã·ãã·ã«ã
Lv.77ã¯æž©ãã fact5: ããã¯æµè¡ãå§ãããããã«å±ãªã£ããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ãã®ã·ãã·ã«Lv.11ãç®å
¥ããäžæ¹ã§æž©ãããªããšããããã®ãŸãªãŸãLv.58ã¯æž©ãããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŸãªãŸãLv.58ã¯æ§åããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{aa} fact2: (x): ¬({AA}x & {AB}x) fact3: ¬({AA}{aa} & ¬{AB}{aa}) -> {A}{aa} fact4: {A}{aa} -> {B}{aa} fact5: (x): ¬({AA}x & ¬{AB}x) fact6: ({C}{b} & ¬{B}{b}) -> ¬{B}{a} ; $hypothesis$ = {D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããããLv.25äºä»¶ãçºçãã | {F} | fact1: å±ãªã£ããããšããããšã¯ã©ãããŠã欲ãããšããããšãé»æ¢ãã fact2: 䜿ãèŸããšããããšãçãã fact3: ãæã¡æããšããããšãçããäžæ¹ã§ã©ãããŠã欲ãããšããããšã¯èµ·ããªãããšããããšã¯ãããããLv.25äºä»¶ã¯çºçããªãããšããããšãçãããã fact4: 䜿ãèŸããšããããšãèµ·ããããããçºããããšãçºçãã fact5: ããçºããããšã¯çºçããªããšãããšããããLv.25äºä»¶ããã³äœ¿ãèŸããšããããšã©ã¡ãããèµ·ãã fact6: ããçºããããšãèµ·ããããããã¯å±ãªã£ããããšããããšãçãããšããã°ã©ãããŠã欲ãããšããããšã¯çºçããªã fact7: æã¡æããšããããšãèµ·ãã | fact1: {C} -> ¬{D} fact2: {A} fact3: ({E} & ¬{D}) -> ¬{F} fact4: ({A} & {B}) fact5: ¬{B} -> ({F} & {A}) fact6: ({B} v {C}) -> ¬{D} fact7: {E} | [
"fact4 -> int1: çºããããšãçãã; int1 -> int2: çºããããšãèµ·ããããããã¯å±ãªã£ããããšããããšãèµ·ãããäž¡æ¹ã ; int2 & fact6 -> int3: ãã©ãããŠã欲ãããšããããšã¯çããªãããšããããšã¯æ£ãã; int3 & fact7 -> int4: æã¡æããšããããšãèµ·ãããã©ã©ãããŠã欲ãããšããããšã¯èµ·ããªã; int4 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact6 -> int3: ¬{D}; int3 & fact7 -> int4: ({E} & ¬{D}); int4 & fact3 -> hypothesis;"
] | ããããLv.25äºä»¶ãçºçãã | {F} | [] | 6 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å±ãªã£ããããšããããšã¯ã©ãããŠã欲ãããšããããšãé»æ¢ãã fact2: 䜿ãèŸããšããããšãçãã fact3: ãæã¡æããšããããšãçããäžæ¹ã§ã©ãããŠã欲ãããšããããšã¯èµ·ããªãããšããããšã¯ãããããLv.25äºä»¶ã¯çºçããªãããšããããšãçãããã fact4: 䜿ãèŸããšããããšãèµ·ããããããçºããããšãçºçãã fact5: ããçºããããšã¯çºçããªããšãããšããããLv.25äºä»¶ããã³äœ¿ãèŸããšããããšã©ã¡ãããèµ·ãã fact6: ããçºããããšãèµ·ããããããã¯å±ãªã£ããããšããããšãçãããšããã°ã©ãããŠã欲ãããšããããšã¯çºçããªã fact7: æã¡æããšããããšãèµ·ãã ; $hypothesis$ = ããããLv.25äºä»¶ãçºçãã ; $proof$ = | fact4 -> int1: çºããããšãçãã; int1 -> int2: çºããããšãèµ·ããããããã¯å±ãªã£ããããšããããšãèµ·ãããäž¡æ¹ã ; int2 & fact6 -> int3: ãã©ãããŠã欲ãããšããããšã¯çããªãããšããããšã¯æ£ãã; int3 & fact7 -> int4: æã¡æããšããããšãèµ·ãããã©ã©ãããŠã欲ãããšããããšã¯èµ·ããªã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} -> ¬{D} fact2: {A} fact3: ({E} & ¬{D}) -> ¬{F} fact4: ({A} & {B}) fact5: ¬{B} -> ({F} & {A}) fact6: ({B} v {C}) -> ¬{D} fact7: {E} ; $hypothesis$ = {F} ; $proof$ = | fact4 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact6 -> int3: ¬{D}; int3 & fact7 -> int4: ({E} & ¬{D}); int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | æããšããããšã¯ãã¿ã®ã¿ãLv.48äºä»¶ãçããããšããããšãåé¿ãã | {A} -> ¬{C} | fact1: é ãããããšãçºçãã fact2: ãããæããšããããšããã³é ãããããšäž¡æ¹ãèµ·ãããšããã°ãã¿ã®ã¿ãLv.48äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã§ãã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæããšããããšãèµ·ãã; assump1 & fact1 -> int1: æããšããããšãèµ·ããããã€é ãããããšãèµ·ãã; int1 & fact2 -> int2: ã¿ã®ã¿ãLv.48äºä»¶ã¯çºçããªã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: é ãããããšãçºçãã fact2: ãããæããšããããšããã³é ãããããšäž¡æ¹ãèµ·ãããšããã°ãã¿ã®ã¿ãLv.48äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = æããšããããšã¯ãã¿ã®ã¿ãLv.48äºä»¶ãçããããšããããšãåé¿ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæããšããããšãèµ·ãã; assump1 & fact1 -> int1: æããšããããšãèµ·ããããã€é ãããããšãèµ·ãã; int1 & fact2 -> int2: ã¿ã®ã¿ãLv.48äºä»¶ã¯çºçããªã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {A} -> ¬{C} ; $proof$ = | void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããLv.1ã¯å€ªããªã | ¬{B}{aa} | fact1: ããã¢ã³ã¹ã¿ãŒã埡詫ã³ç³ãäžããã°ããã¯å€ªã fact2: ããããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãæãããã©ããã¯å
šé¢éäŒããªãããšããããšã¯æãç«ããªããšããã°ããã¯åŸ¡è©«ã³ç³ãäžãã fact3: ãã®ããããLv.1ã¯è¥ãäžæ¹ã§äœæäœæãããªã fact4: ãããè¥ãã¢ã³ã¹ã¿ãŒãäœæäœæãããªããªãã°ããã¯å€ªããªã | fact1: (x): {A}x -> {B}x fact2: (x): ¬({D}x & ¬{C}x) -> {A}x fact3: ({AA}{aa} & ¬{AB}{aa}) fact4: (x): ({AA}x & ¬{AB}x) -> ¬{B}x | [
"fact4 -> int1: ãããã®ããããLv.1ã¯è¥ãããã©äœæäœæãããªããšãããããã¯å€ªããªã; int1 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact3 -> hypothesis;"
] | ãã®ããããLv.1ã¯å€ªã | {B}{aa} | [
"fact5 -> int2: ããä»®ã«ãã®ããããLv.1ã埡詫ã³ç³ãäžããã°å€ªã; fact6 -> int3: ããããã®ããããLv.1ã¯æ¥ãæãããããå
šé¢éäŒããªãããšããããšã¯ééãã§ãããšãããšãã®ããããLv.1ã¯åŸ¡è©«ã³ç³ãäžãã;"
] | 4 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã¢ã³ã¹ã¿ãŒã埡詫ã³ç³ãäžããã°ããã¯å€ªã fact2: ããããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãæãããã©ããã¯å
šé¢éäŒããªãããšããããšã¯æãç«ããªããšããã°ããã¯åŸ¡è©«ã³ç³ãäžãã fact3: ãã®ããããLv.1ã¯è¥ãäžæ¹ã§äœæäœæãããªã fact4: ãããè¥ãã¢ã³ã¹ã¿ãŒãäœæäœæãããªããªãã°ããã¯å€ªããªã ; $hypothesis$ = ãã®ããããLv.1ã¯å€ªããªã ; $proof$ = | fact4 -> int1: ãããã®ããããLv.1ã¯è¥ãããã©äœæäœæãããªããšãããããã¯å€ªããªã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> {B}x fact2: (x): ¬({D}x & ¬{C}x) -> {A}x fact3: ({AA}{aa} & ¬{AB}{aa}) fact4: (x): ({AA}x & ¬{AB}x) -> ¬{B}x ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact4 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãŸã¡ããŸãªLv.26äºä»¶ã¯èµ·ãããªã | ¬{A} | fact1: ãããè¥ããšããããšãçããããšããããšã¯ã·ã«ãã·ãLv.20äºä»¶ã«ç¹ãã fact2: ããä»®ã«æ³¥èããšããããšãèµ·ãããšããã°ãã¿ã«ã
ã¿ãLv.79äºä»¶ã¯èµ·ããªãããããã¯ã·ã«ã·ãªLv.23äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã fact3: ä»®ã«ãœã«ãœãLv.2äºä»¶ãèµ·ããªããšãããããè¥ããšããããšã¯çããªãããã©ã·ã«ãã·ãLv.20äºä»¶ã¯çºçãã fact4: ãœã«ãœãLv.2äºä»¶ã¯ãŽãªãŽãLv.26äºä»¶ã«é»æ¢ããã fact5: ã·ã«ãã·ãLv.20äºä»¶ã¯çºçããªã fact6: ãŽãªãŽãLv.26äºä»¶ãšå¹ã蟌ãããšãèµ·ããã¯ãççœããšããããšã¯çããªãããšããããšããã£ããã§ãã fact7: ããããã¿ã«ã
ã¿ãLv.79äºä»¶ã¯çããªãããããã¯ã·ã«ã·ãªLv.23äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªãã°ççœããšããããšã¯èµ·ããªã | fact1: {B} -> {C} fact2: {J} -> ¬(¬{H} v {I}) fact3: ¬{D} -> (¬{B} & {C}) fact4: {E} -> ¬{D} fact5: ¬{C} fact6: ¬{G} -> ({E} & {F}) fact7: ¬(¬{H} v {I}) -> ¬{G} | [] | [] | ç¡å£°åãæããšããããšãèµ·ãã | {IN} | [] | 10 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããè¥ããšããããšãçããããšããããšã¯ã·ã«ãã·ãLv.20äºä»¶ã«ç¹ãã fact2: ããä»®ã«æ³¥èããšããããšãèµ·ãããšããã°ãã¿ã«ã
ã¿ãLv.79äºä»¶ã¯èµ·ããªãããããã¯ã·ã«ã·ãªLv.23äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã fact3: ä»®ã«ãœã«ãœãLv.2äºä»¶ãèµ·ããªããšãããããè¥ããšããããšã¯çããªãããã©ã·ã«ãã·ãLv.20äºä»¶ã¯çºçãã fact4: ãœã«ãœãLv.2äºä»¶ã¯ãŽãªãŽãLv.26äºä»¶ã«é»æ¢ããã fact5: ã·ã«ãã·ãLv.20äºä»¶ã¯çºçããªã fact6: ãŽãªãŽãLv.26äºä»¶ãšå¹ã蟌ãããšãèµ·ããã¯ãççœããšããããšã¯çããªãããšããããšããã£ããã§ãã fact7: ããããã¿ã«ã
ã¿ãLv.79äºä»¶ã¯çããªãããããã¯ã·ã«ã·ãªLv.23äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªãã°ççœããšããããšã¯èµ·ããªã ; $hypothesis$ = ãŸã¡ããŸãªLv.26äºä»¶ã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} -> {C} fact2: {J} -> ¬(¬{H} v {I}) fact3: ¬{D} -> (¬{B} & {C}) fact4: {E} -> ¬{D} fact5: ¬{C} fact6: ¬{G} -> ({E} & {F}) fact7: ¬(¬{H} v {I}) -> ¬{G} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã®ããããLv.89ã¯ä¹ãããšããããšã¯ãªãããã©èŠæç¡ãããšããããšã¯åã§ããããšããããšã¯ç¢ºãã§ãã | ¬(¬{AA}{aa} & {AB}{aa}) | fact1: ãã®ããããLv.89ã¯ä¿ã¡ç¶ãã fact2: ãã®ããããLv.89ã¯ä¹ãããªã fact3: ãããä¹ãããªãã¢ã³ã¹ã¿ãŒãèŠæç¡ããªãã°ããã¯ä¿ã¡ç¶ãããšããããšã¯ãªã | fact1: {B}{aa} fact2: ¬{AA}{aa} fact3: (x): (¬{AA}x & {AB}x) -> ¬{B}x | [
"fact3 -> int1: ããããã®ããããLv.89ãä¹ãããªãããã©èŠæç¡ããšãããããã¯ä¿ã¡ç¶ããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.89ã¯ä¹ãããªãäžæ¹ã§èŠæç¡ã; int1 & assump1 -> int2: ãã®ããããLv.89ã¯ä¿ã¡ç¶ããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact3 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; void -> assump1: (¬{AA}{aa} & {AB}{aa}); int1 & assump1 -> int2: ¬{B}{aa}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ããããLv.89ã¯ä¿ã¡ç¶ãã fact2: ãã®ããããLv.89ã¯ä¹ãããªã fact3: ãããä¹ãããªãã¢ã³ã¹ã¿ãŒãèŠæç¡ããªãã°ããã¯ä¿ã¡ç¶ãããšããããšã¯ãªã ; $hypothesis$ = ãããã®ããããLv.89ã¯ä¹ãããšããããšã¯ãªãããã©èŠæç¡ãããšããããšã¯åã§ããããšããããšã¯ç¢ºãã§ãã ; $proof$ = | fact3 -> int1: ããããã®ããããLv.89ãä¹ãããªãããã©èŠæç¡ããšãããããã¯ä¿ã¡ç¶ããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.89ã¯ä¹ãããªãäžæ¹ã§èŠæç¡ã; int1 & assump1 -> int2: ãã®ããããLv.89ã¯ä¿ã¡ç¶ããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{aa} fact2: ¬{AA}{aa} fact3: (x): (¬{AA}x & {AB}x) -> ¬{B}x ; $hypothesis$ = ¬(¬{AA}{aa} & {AB}{aa}) ; $proof$ = | fact3 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; void -> assump1: (¬{AA}{aa} & {AB}{aa}); int1 & assump1 -> int2: ¬{B}{aa}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.25ã¯åé¢ãæã | {F}{b} | fact1: ãã®ãŽãªãŽã«ãLv.58ãåé¢ãæãããŸãã¯åœŒå¥³ããããªããªããã®ã¿ãã¿ãLv.25ã¯æºãããªããªã fact2: ãããã®ãŽãªãŽã«ãLv.58ã¯ããè¥ããªããªãã°ãã®ã¿ãã¿ãLv.25ã¯åé¢ãæããªã fact3: ä»®ã«ãã®ãŽãªãŽã«ãLv.58ãã¿ã€ãã«ããããšããã°ãã®ãŽãªãŽã«ãLv.58ã¯åœŒå¥³ããããããè¥ããªã fact4: ä»®ã«ãã®ã¿ãã¿ãLv.25ãé枯ãããšããã°ããã¯åœŒå¥³ããã fact5: ãã®ãã¡ãããLv.46ã¯åœŒå¥³ãããããã€åœ¹ããã fact6: ããä»®ã«ãã®ãŽãªãŽã«ãLv.58ã圌女ãããããŸãã¯ãããããè¥ããšããããšã¯ãªãããŸãã¯äž¡æ¹ã ãšããã°ãã®ã¿ãã¿ãLv.25ã¯åé¢ãæããªã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.25ãã¿ã€ãã«ããããªããšããã°ãã®ã¿ã«ãã¿ã®Lv.91ã¯è²·ãæããå ããŠè¿œãåºãã fact8: ä»®ã«ãã®ãŽãªãŽã«ãLv.58ãæºãããªããšããã°ã¿ã€ãã«ããã fact9: ããã®ãŽãªãŽã«ãLv.58ã¯æºãããªããè²·ãæãããšããããšã¯æ¬åœã | fact1: ({F}{a} v ¬{D}{a}) -> ¬{A}{b} fact2: ¬{E}{a} -> ¬{F}{b} fact3: {C}{a} -> ({D}{a} v ¬{E}{a}) fact4: {IB}{b} -> {D}{b} fact5: ({D}{bb} & {GH}{bb}) fact6: ({D}{a} v ¬{E}{a}) -> ¬{F}{b} fact7: ¬{C}{b} -> ({B}{fm} & {HC}{fm}) fact8: {A}{a} -> {C}{a} fact9: ({A}{a} & {B}{a}) | [
"fact9 -> int1: ãã®ãŽãªãŽã«ãLv.58ã¯æºãããªã; int1 & fact8 -> int2: ãã®ãŽãªãŽã«ãLv.58ã¯ã¿ã€ãã«ããã; int2 & fact3 -> int3: ãã®ãŽãªãŽã«ãLv.58ã¯åœŒå¥³ãããããããã¯ããè¥ããªã; int3 & fact6 -> hypothesis;"
] | [
"fact9 -> int1: {A}{a}; int1 & fact8 -> int2: {C}{a}; int2 & fact3 -> int3: ({D}{a} v ¬{E}{a}); int3 & fact6 -> hypothesis;"
] | ãã®ã¿ã«ãã¿ã®Lv.91ã¯è¿œãåºãããåé¢ãæã | ({HC}{fm} & {F}{fm}) | [] | 4 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽãªãŽã«ãLv.58ãåé¢ãæãããŸãã¯åœŒå¥³ããããªããªããã®ã¿ãã¿ãLv.25ã¯æºãããªããªã fact2: ãããã®ãŽãªãŽã«ãLv.58ã¯ããè¥ããªããªãã°ãã®ã¿ãã¿ãLv.25ã¯åé¢ãæããªã fact3: ä»®ã«ãã®ãŽãªãŽã«ãLv.58ãã¿ã€ãã«ããããšããã°ãã®ãŽãªãŽã«ãLv.58ã¯åœŒå¥³ããããããè¥ããªã fact4: ä»®ã«ãã®ã¿ãã¿ãLv.25ãé枯ãããšããã°ããã¯åœŒå¥³ããã fact5: ãã®ãã¡ãããLv.46ã¯åœŒå¥³ãããããã€åœ¹ããã fact6: ããä»®ã«ãã®ãŽãªãŽã«ãLv.58ã圌女ãããããŸãã¯ãããããè¥ããšããããšã¯ãªãããŸãã¯äž¡æ¹ã ãšããã°ãã®ã¿ãã¿ãLv.25ã¯åé¢ãæããªã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.25ãã¿ã€ãã«ããããªããšããã°ãã®ã¿ã«ãã¿ã®Lv.91ã¯è²·ãæããå ããŠè¿œãåºãã fact8: ä»®ã«ãã®ãŽãªãŽã«ãLv.58ãæºãããªããšããã°ã¿ã€ãã«ããã fact9: ããã®ãŽãªãŽã«ãLv.58ã¯æºãããªããè²·ãæãããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.25ã¯åé¢ãæã ; $proof$ = | fact9 -> int1: ãã®ãŽãªãŽã«ãLv.58ã¯æºãããªã; int1 & fact8 -> int2: ãã®ãŽãªãŽã«ãLv.58ã¯ã¿ã€ãã«ããã; int2 & fact3 -> int3: ãã®ãŽãªãŽã«ãLv.58ã¯åœŒå¥³ãããããããã¯ããè¥ããªã; int3 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({F}{a} v ¬{D}{a}) -> ¬{A}{b} fact2: ¬{E}{a} -> ¬{F}{b} fact3: {C}{a} -> ({D}{a} v ¬{E}{a}) fact4: {IB}{b} -> {D}{b} fact5: ({D}{bb} & {GH}{bb}) fact6: ({D}{a} v ¬{E}{a}) -> ¬{F}{b} fact7: ¬{C}{b} -> ({B}{fm} & {HC}{fm}) fact8: {A}{a} -> {C}{a} fact9: ({A}{a} & {B}{a}) ; $hypothesis$ = {F}{b} ; $proof$ = | fact9 -> int1: {A}{a}; int1 & fact8 -> int2: {C}{a}; int2 & fact3 -> int3: ({D}{a} v ¬{E}{a}); int3 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.65ã¯æ·±ããªã | ¬{A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯æ·±ã | fact1: (x): {A}x | [
"fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯æ·±ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯æ·±ã ; $hypothesis$ = ãã®ãŽããŽãLv.65ã¯æ·±ããªã ; $proof$ = | fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯æ·±ã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |