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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ใใใฎใฟใใฟใฎLv.38ใฏๅพๆใใชใใใจใใใใจใฏไบๅฎใงใใ | ยฌ{B}{a} | fact1: ใใฎใดใใดใกใ
Lv.19ใฏไบบ้ใฃใฝใ fact2: ใใใใใฟใใชใใใจใใใใจใฏ้้ใใงใชใใใขใณในใฟใผใฏใใใใจใใใใจใฏๆญฃใใใจใใใจใใฎใดใชใดใกใLv.6ใฏไบบ้ใฃใฝใใชใ fact3: ใใใฎใฟใใฟใฎLv.38ใฏไบบ้ใฃใฝใใใจใใใใจใฏๆฌๅฝใ fact4: ใใฎใฟใใฟใฎLv.38ใฏไบบ้ใฃใฝใใๅ ใใฆใใใฏๅพๆใ | fact1: {A}{cl} fact2: (x): ยฌ{D}x -> ยฌ{A}{b} fact3: {A}{a} fact4: ({A}{a} & {B}{a}) | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ใใใฎใฟใใฟใฎLv.38ใฏๅพๆใใชใใใจใใใใจใฏไบๅฎใงใใ | ยฌ{B}{a} | [] | 8 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใดใใดใกใ
Lv.19ใฏไบบ้ใฃใฝใ fact2: ใใใใใฟใใชใใใจใใใใจใฏ้้ใใงใชใใใขใณในใฟใผใฏใใใใจใใใใจใฏๆญฃใใใจใใใจใใฎใดใชใดใกใLv.6ใฏไบบ้ใฃใฝใใชใ fact3: ใใใฎใฟใใฟใฎLv.38ใฏไบบ้ใฃใฝใใใจใใใใจใฏๆฌๅฝใ fact4: ใใฎใฟใใฟใฎLv.38ใฏไบบ้ใฃใฝใใๅ ใใฆใใใฏๅพๆใ ; $hypothesis$ = ใใใฎใฟใใฟใฎLv.38ใฏๅพๆใใชใใใจใใใใจใฏไบๅฎใงใใ ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{cl} fact2: (x): ยฌ{D}x -> ยฌ{A}{b} fact3: {A}{a} fact4: ({A}{a} & {B}{a}) ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ใใจใใใใจใใใใจใฏ็บ็ใใชใ | ยฌ{A} | fact1: ใใใ่ฌณๆญๅบๆฅใใใจใ่ตทใใใจใใใฐใใจใใใใจใใใใจใฏ็บ็ใใชใใใฟใใฟใซใLv.82ไบไปถใ็บ็ใใ fact2: ใฟใใฟใซใLv.82ไบไปถใฏ่ตทใใชใใจใใใใจใฏใใทใใทใLv.49ไบไปถใใใณใใจใใใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใๆใ fact3: ใฟใกใใฟใซใLv.38ไบไปถใ่ตทใใ fact4: ใใใพใใพใซใ
Lv.43ไบไปถใจ่ฌณๆญๅบๆฅใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใฏ่ตทใ้ฃใใจใใใใจใฏ็ใใชใใจใใใใจใๅๅ ใงใใ fact5: ็่พใใจใใใใจใ่ตทใใ | fact1: {C} -> (ยฌ{A} & {B}) fact2: ยฌ{B} -> ({IL} & {A}) fact3: {IK} fact4: ยฌ{E} -> ({D} & {C}) fact5: {JE} | [] | [] | ใใจใใใใจใใใใจใฏ็บ็ใใชใ | ยฌ{A} | [] | 7 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใ่ฌณๆญๅบๆฅใใใจใ่ตทใใใจใใใฐใใจใใใใจใใใใจใฏ็บ็ใใชใใใฟใใฟใซใLv.82ไบไปถใ็บ็ใใ fact2: ใฟใใฟใซใLv.82ไบไปถใฏ่ตทใใชใใจใใใใจใฏใใทใใทใLv.49ไบไปถใใใณใใจใใใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใๆใ fact3: ใฟใกใใฟใซใLv.38ไบไปถใ่ตทใใ fact4: ใใใพใใพใซใ
Lv.43ไบไปถใจ่ฌณๆญๅบๆฅใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใฏ่ตทใ้ฃใใจใใใใจใฏ็ใใชใใจใใใใจใๅๅ ใงใใ fact5: ็่พใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใใจใใใใจใใใใจใฏ็บ็ใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} -> (ยฌ{A} & {B}) fact2: ยฌ{B} -> ({IL} & {A}) fact3: {IK} fact4: ยฌ{E} -> ({D} & {C}) fact5: {JE} ; $hypothesis$ = ยฌ{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใดใใดใกใLv.82ใฏไบฌ้ฝใใใใใจใใใใจใฏๆใ็ซใค | {B}{a} | fact1: ไปฎใซใใใฎใใใใซLv.96ใฏใฉใ้ปใใๆใใชใใใจใใใใจใฏๅใ ใจใใใฐใใฎใใใใซLv.96ใฏใฉใ้ปใใชใ fact2: ไบฌ้ฝใใใใขใณในใฟใผใฏ็ฉๅฏใใ fact3: ใใฎใดใใดใกใLv.82ใฏ็ฉๅฏใใใฆไบฌ้ฝใใใ fact4: ใใฎใดใกใใดใLv.56ใฏๅพก่ฅใใใใใใใใฏใณใณใใญใผใซใๆใ | fact1: ยฌ({C}{c} & ยฌ{D}{c}) -> ยฌ{C}{c} fact2: (x): {B}x -> {A}x fact3: ({A}{a} & {B}{a}) fact4: ({HP}{bc} & {BP}{bc}) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใฎใฝใใฝใLv.84ใฏ็ฉๅฏใใ | {A}{cb} | [
"fact5 -> int1: ไปฎใซใใฎใฝใใฝใLv.84ใไบฌ้ฝใใใใชใใฐใใใฏ็ฉๅฏใใ;"
] | 5 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ไปฎใซใใใฎใใใใซLv.96ใฏใฉใ้ปใใๆใใชใใใจใใใใจใฏๅใ ใจใใใฐใใฎใใใใซLv.96ใฏใฉใ้ปใใชใ fact2: ไบฌ้ฝใใใใขใณในใฟใผใฏ็ฉๅฏใใ fact3: ใใฎใดใใดใกใLv.82ใฏ็ฉๅฏใใใฆไบฌ้ฝใใใ fact4: ใใฎใดใกใใดใLv.56ใฏๅพก่ฅใใใใใใใใฏใณใณใใญใผใซใๆใ ; $hypothesis$ = ใใใฎใดใใดใกใLv.82ใฏไบฌ้ฝใใใใใจใใใใจใฏๆใ็ซใค ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ({C}{c} & ยฌ{D}{c}) -> ยฌ{C}{c} fact2: (x): {B}x -> {A}x fact3: ({A}{a} & {B}{a}) fact4: ({HP}{bc} & {BP}{bc}) ; $hypothesis$ = {B}{a} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใใใฏใใใชใใชใใฆใใใใใใฏ่ใๅฏใใจใใใขใณในใฟใผใฏใชใ | (x): ยฌ(ยฌ{AA}x & {AB}x) | fact1: ใใใใใขใณในใฟใผใฏๆป
ใถใใใใใฏๅคงไบบๆฐ็กใใชใใใใใใฏใฉใกใใใ fact2: ใใใชใใ่ใๅฏใใขใณในใฟใผใฏใชใ fact3: ใใใไปฎใซใชใซใใใใฎใขใณในใฟใผใ่ฅไปใใชใใชใใฐ้
ธใฃใฑใใใใใซใใใฏ็่งฃใๆใใใจใใใใจใฏๆฌๅฝใงใใ fact4: ้ฃใน็บใใใชใไธๆนใงๆใกๆใใจใใใขใณในใฟใผใฏใชใ fact5: ใใใฏใใใชใใชใใฆใใใใใใฏ่ใๅฏใใจใใใขใณในใฟใผใฏใชใ fact6: ใใไปฎใซใจใใใขใณในใฟใผใๆป
ในใฐ่ฅไปใใชใ | fact1: (x): ({D}x v ยฌ{E}x) fact2: (x): ยฌ({AA}x & {AB}x) fact3: (x): ยฌ{C}x -> ({B}x & {A}x) fact4: (x): ยฌ(ยฌ{BN}x & {JC}x) fact5: (x): ยฌ(ยฌ{AA}x & {AB}x) fact6: (x): {D}x -> ยฌ{C}x | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ไธใๆใใชใใฆใใใใใใใขใณในใฟใผใฏใชใ | (x): ยฌ(ยฌ{BS}x & {CS}x) | [
"fact8 -> int1: ไปฎใซใใฎใพใใพใซใLv.53ใ่ฅไปใใชใใจใใใฐใใฎใพใใพใซใLv.53ใฏ้
ธใฃใฑใใฆๅ ใใฆใใใฏ็่งฃใๆใ; fact9 -> int2: ใใใใใฎใพใใพใซใLv.53ใๆป
ในใฐ่ฅไปใใชใ; fact7 -> int3: ใใฎใพใใพใซใLv.53ใฏๆป
ใถใใใใใฏๅคงไบบๆฐ็กใใชใใใฉใกใใใงใใ;"
] | 6 | 1 | 1 | 0 | 0 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใใใขใณในใฟใผใฏๆป
ใถใใใใใฏๅคงไบบๆฐ็กใใชใใใใใใฏใฉใกใใใ fact2: ใใใชใใ่ใๅฏใใขใณในใฟใผใฏใชใ fact3: ใใใไปฎใซใชใซใใใใฎใขใณในใฟใผใ่ฅไปใใชใใชใใฐ้
ธใฃใฑใใใใใซใใใฏ็่งฃใๆใใใจใใใใจใฏๆฌๅฝใงใใ fact4: ้ฃใน็บใใใชใไธๆนใงๆใกๆใใจใใใขใณในใฟใผใฏใชใ fact5: ใใใฏใใใชใใชใใฆใใใใใใฏ่ใๅฏใใจใใใขใณในใฟใผใฏใชใ fact6: ใใไปฎใซใจใใใขใณในใฟใผใๆป
ในใฐ่ฅไปใใชใ ; $hypothesis$ = ใใใฏใใใชใใชใใฆใใใใใใฏ่ใๅฏใใจใใใขใณในใฟใผใฏใชใ ; $proof$ = | fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({D}x v ยฌ{E}x) fact2: (x): ยฌ({AA}x & {AB}x) fact3: (x): ยฌ{C}x -> ({B}x & {A}x) fact4: (x): ยฌ(ยฌ{BN}x & {JC}x) fact5: (x): ยฌ(ยฌ{AA}x & {AB}x) fact6: (x): {D}x -> ยฌ{C}x ; $hypothesis$ = (x): ยฌ(ยฌ{AA}x & {AB}x) ; $proof$ = | fact5 -> hypothesis; __PROVED__ |
0.3 | ใใฎใดใกใ
ใดใฎLv.68ใฏๅ
่ฆใใใชใ | ยฌ{A}{a} | fact1: ใใฎใพใซใใพใซใ
Lv.24ใฏๅ
่ฆใใ fact2: ใใฎใดใกใ
ใดใฎLv.68ใฏๅ
่ฆใใ fact3: ใใฎใดใกใ
ใดใฎLv.68ใฏใใผใใ | fact1: {A}{go} fact2: {A}{a} fact3: {FU}{a} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใฎใพใซใใพใซใ
Lv.24ใฏๅ
่ฆใใ fact2: ใใฎใดใกใ
ใดใฎLv.68ใฏๅ
่ฆใใ fact3: ใใฎใดใกใ
ใดใฎLv.68ใฏใใผใใ ; $hypothesis$ = ใใฎใดใกใ
ใดใฎLv.68ใฏๅ
่ฆใใใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{go} fact2: {A}{a} fact3: {FU}{a} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใทใกใ
ใทใLv.84ไบไปถใฏ่ตทใใใชใ | ยฌ{B} | fact1: ใดใใดใLv.54ไบไปถใฏใทใกใ
ใทใLv.84ไบไปถใฎๅๅ ใจใชใ fact2: ใทใกใใทใญLv.4ไบไปถใ็ใใ fact3: ใดใใดใLv.54ไบไปถใ่ตทใใใชใใฆใดใฎใดใLv.42ไบไปถใ่ตทใใใชใใชใใฐใทใกใ
ใทใLv.84ไบไปถใฏ็บ็ใใชใ fact4: ใทใใทใฎLv.56ไบไปถใ็ใใ fact5: ใใทใซใใทใLv.15ไบไปถใ็ใใใใจใใใใจใฏๆใ็ซใค | fact1: {A} -> {B} fact2: {BC} fact3: (ยฌ{A} & ยฌ{C}) -> ยฌ{B} fact4: {FB} fact5: {J} | [] | [] | ใทใกใ
ใทใLv.84ไบไปถใฏ่ตทใใใชใ | ยฌ{B} | [] | 6 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใดใใดใLv.54ไบไปถใฏใทใกใ
ใทใLv.84ไบไปถใฎๅๅ ใจใชใ fact2: ใทใกใใทใญLv.4ไบไปถใ็ใใ fact3: ใดใใดใLv.54ไบไปถใ่ตทใใใชใใฆใดใฎใดใLv.42ไบไปถใ่ตทใใใชใใชใใฐใทใกใ
ใทใLv.84ไบไปถใฏ็บ็ใใชใ fact4: ใทใใทใฎLv.56ไบไปถใ็ใใ fact5: ใใทใซใใทใLv.15ไบไปถใ็ใใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใทใกใ
ใทใLv.84ไบไปถใฏ่ตทใใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: {BC} fact3: (ยฌ{A} & ยฌ{C}) -> ยฌ{B} fact4: {FB} fact5: {J} ; $hypothesis$ = ยฌ{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ๅ
จใฆใฎใขใณในใฟใผใฏๆฐๅผฑใ | (x): {A}x | fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๆฐๅผฑใ | fact1: (x): {A}x | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๆฐๅผฑใ ; $hypothesis$ = ๅ
จใฆใฎใขใณในใฟใผใฏๆฐๅผฑใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = (x): {A}x ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใไปฎใซใใฎใพใใพใLv.95ใๆดปๅใ้ฃใใชใใใใใ็น้ฒใใใฐใใฎใพใใพใLv.95ใฏๆง่ฏใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ((ยฌ{AA}{aa} & {AB}{aa}) -> {B}{aa}) | fact1: ไปฎใซๆดปๅใ้ฃใใขใณในใฟใผใ็น้ฒใใใจใใใจๆง่ฏใ fact2: ใใใๆดปๅใ้ฃใใจใใใใจใฏใชใใขใณในใฟใผใ็น้ฒใใใชใใใใฏๆง่ฏใ fact3: ใใไปฎใซใใฎใฟใใฟใกใLv.41ใๆดปๅใ้ฃใใจใใใใจใฏใชใไธๆนใงๆใ้ฃใใชใใใใฏ็ใๆทฑใ fact4: ๅผฑใใจใใใใจใฏใชใใขใณในใฟใผใๆใใใจใใใ่บซ่ปฝใ | fact1: (x): ({AA}x & {AB}x) -> {B}x fact2: (x): (ยฌ{AA}x & {AB}x) -> {B}x fact3: (ยฌ{AA}{a} & {F}{a}) -> {C}{a} fact4: (x): (ยฌ{FJ}x & {GQ}x) -> {AQ}x | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ไปฎใซใใฎใพใใพใLv.95ใฏๅผฑใใชใใๆใใใจใใใจใใใใฏ่บซ่ปฝใใใจใใใใจใฏๅใงใชใ | (ยฌ{FJ}{aa} & {GQ}{aa}) -> {AQ}{aa} | [
"fact5 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ไปฎใซๆดปๅใ้ฃใใขใณในใฟใผใ็น้ฒใใใจใใใจๆง่ฏใ fact2: ใใใๆดปๅใ้ฃใใจใใใใจใฏใชใใขใณในใฟใผใ็น้ฒใใใชใใใใฏๆง่ฏใ fact3: ใใไปฎใซใใฎใฟใใฟใกใLv.41ใๆดปๅใ้ฃใใจใใใใจใฏใชใไธๆนใงๆใ้ฃใใชใใใใฏ็ใๆทฑใ fact4: ๅผฑใใจใใใใจใฏใชใใขใณในใฟใผใๆใใใจใใใ่บซ่ปฝใ ; $hypothesis$ = ใไปฎใซใใฎใพใใพใLv.95ใๆดปๅใ้ฃใใชใใใใใ็น้ฒใใใฐใใฎใพใใพใLv.95ใฏๆง่ฏใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ({AA}x & {AB}x) -> {B}x fact2: (x): (ยฌ{AA}x & {AB}x) -> {B}x fact3: (ยฌ{AA}{a} & {F}{a}) -> {C}{a} fact4: (x): (ยฌ{FJ}x & {GQ}x) -> {AQ}x ; $hypothesis$ = ยฌ((ยฌ{AA}{aa} & {AB}{aa}) -> {B}{aa}) ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใไฝใใใฎใขใณในใฟใผใฏๆฟๅใใใใจใใใใจใฏ้้ใใงใใ | ยฌ((Ex): {A}x) | fact1: ใใใใฎใฟใฎใฟใกใ
Lv.31ใฏ็ทใฎๅญใใใใชใใจใใใฐใใใฎใฟใซใใฟใLv.16ใฏๆณฃใๆญขใใใใใๅนใๆใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใชใซใใใใฎใขใณในใฟใผใๆฟๅใใใจใใใฐใใใฏ่ชฌๆใๆใ fact3: ใๆฟๅใใใใขใณในใฟใผใฏใใ fact4: ใ็ชๆใใใใขใณในใฟใผใฏใใ fact5: ใใใใใใฎใฟใซใใฟใLv.16ใฏๅนใๆใใชใใใใใฏๆณฃใๆญขใพใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใใใฎใฝใกใใฝใLv.98ใฏๆฟๅใใ fact6: ใใใขใณในใฟใผใๆฟๅใใใจใใใจ่ใ
ใๆใ | fact1: ยฌ{D}{c} -> ยฌ({B}{b} & {C}{b}) fact2: (x): {A}x -> {CP}x fact3: (Ex): {A}x fact4: (Ex): {IM}x fact5: ยฌ(ยฌ{C}{b} v ยฌ{B}{b}) -> {A}{a} fact6: (x): {A}x -> {AD}x | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ไฝใใใฎใขใณในใฟใผใฏ่ชฌๆใๆใ | (Ex): {CP}x | [
"fact7 -> int1: ไปฎใซใใฎใฝใกใใฝใLv.98ใๆฟๅใใใจใใใจ่ชฌๆใๆใ;"
] | 6 | 1 | 1 | 0 | 0 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใฎใฟใฎใฟใกใ
Lv.31ใฏ็ทใฎๅญใใใใชใใจใใใฐใใใฎใฟใซใใฟใLv.16ใฏๆณฃใๆญขใใใใใๅนใๆใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใชใซใใใใฎใขใณในใฟใผใๆฟๅใใใจใใใฐใใใฏ่ชฌๆใๆใ fact3: ใๆฟๅใใใใขใณในใฟใผใฏใใ fact4: ใ็ชๆใใใใขใณในใฟใผใฏใใ fact5: ใใใใใใฎใฟใซใใฟใLv.16ใฏๅนใๆใใชใใใใใฏๆณฃใๆญขใพใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใใใฎใฝใกใใฝใLv.98ใฏๆฟๅใใ fact6: ใใใขใณในใฟใผใๆฟๅใใใจใใใจ่ใ
ใๆใ ; $hypothesis$ = ใไฝใใใฎใขใณในใฟใผใฏๆฟๅใใใใจใใใใจใฏ้้ใใงใใ ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{D}{c} -> ยฌ({B}{b} & {C}{b}) fact2: (x): {A}x -> {CP}x fact3: (Ex): {A}x fact4: (Ex): {IM}x fact5: ยฌ(ยฌ{C}{b} v ยฌ{B}{b}) -> {A}{a} fact6: (x): {A}x -> {AD}x ; $hypothesis$ = ยฌ((Ex): {A}x) ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใใฟใชใฟใซใLv.17ไบไปถใ่ตทใใใใจใใใใจใฏ็ขบใใงใใ | {A} | fact1: ใใฟใชใฟใซใLv.17ไบไปถใ่ตทใใใใจใใใใจใฏ็ขบใใงใใ fact2: ใใๆ่ใใจใใใใจใฏ่ตทใใชใใชใใฐใฝใกใ
ใฝใญLv.78ไบไปถใจใฟใชใฟใซใLv.17ไบไปถไธกๆนใ็บ็ใใ fact3: ใใไปฎใซใๆ่ใใจใใใใจใงใฏใชใใฆใฟใชใฟใซใLv.17ไบไปถใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใใจใใใฐใฟใชใฟใซใLv.17ไบไปถใฏ่ตทใใชใ fact4: ใๆ่ใใจใใใใจใ็บ็ใใใ็ถใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใๆ่ใใจใใใใจใฏ็บ็ใใชใ | fact1: {A} fact2: ยฌ{B} -> ({DL} & {A}) fact3: ยฌ(ยฌ{B} & {A}) -> ยฌ{A} fact4: ยฌ({B} & ยฌ{C}) -> ยฌ{B} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใฟใชใฟใซใLv.17ไบไปถใฏ่ตทใใชใ | ยฌ{A} | [] | 6 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฟใชใฟใซใLv.17ไบไปถใ่ตทใใใใจใใใใจใฏ็ขบใใงใใ fact2: ใใๆ่ใใจใใใใจใฏ่ตทใใชใใชใใฐใฝใกใ
ใฝใญLv.78ไบไปถใจใฟใชใฟใซใLv.17ไบไปถไธกๆนใ็บ็ใใ fact3: ใใไปฎใซใๆ่ใใจใใใใจใงใฏใชใใฆใฟใชใฟใซใLv.17ไบไปถใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใใจใใใฐใฟใชใฟใซใLv.17ไบไปถใฏ่ตทใใชใ fact4: ใๆ่ใใจใใใใจใ็บ็ใใใ็ถใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใๆ่ใใจใใใใจใฏ็บ็ใใชใ ; $hypothesis$ = ใใฟใชใฟใซใLv.17ไบไปถใ่ตทใใใใจใใใใจใฏ็ขบใใงใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ยฌ{B} -> ({DL} & {A}) fact3: ยฌ(ยฌ{B} & {A}) -> ยฌ{A} fact4: ยฌ({B} & ยฌ{C}) -> ยฌ{B} ; $hypothesis$ = {A} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใพใใฏ่ชใใฃใฝใใใพใใฏไธกๆนใงใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ(ยฌ{AA}{a} v {AB}{a}) | fact1: ใใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใใใใฏใงใใใใพใใฏไธกๆนใ ใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ใใใฎใดใใดใLv.86ใฏๅฃใ้ฃใใชใใใจใใใใจใฏๆใ็ซใค fact3: ใใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใพใใฏ่ชใใฃใฝใใใพใใฏไธกๆนใงใใใใจใใใใจใฏๆใ็ซใใชใ fact4: ้็ฝใใชใใขใณในใฟใผใฏๅฃใ้ฃใใจใใใใจใฏใชใใใพใใฏ่ชใใฃใฝใใใใใใฏใฉใกใใใงใใ | fact1: ยฌ(ยฌ{AA}{a} v {FU}{a}) fact2: ยฌ{AA}{el} fact3: ยฌ(ยฌ{AA}{a} v {AB}{a}) fact4: (x): ยฌ{A}x -> (ยฌ{AA}x v {AB}x) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใใใใฏ่ชใใฃใฝใใไธกๆนใจใใงใใ | (ยฌ{AA}{a} v {AB}{a}) | [
"fact5 -> int1: ใใฎใฝใซใฝใญLv.29ใ้็ฝใใชใใจใใใฐใใใฏๅฃใ้ฃใใจใใใใจใฏใชใใใใใใฏ่ชใใฃใฝใใใใใใฏไธกๆนใจใใงใใ;"
] | 4 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใใใใฏใงใใใใพใใฏไธกๆนใ ใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ใใใฎใดใใดใLv.86ใฏๅฃใ้ฃใใชใใใจใใใใจใฏๆใ็ซใค fact3: ใใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใพใใฏ่ชใใฃใฝใใใพใใฏไธกๆนใงใใใใจใใใใจใฏๆใ็ซใใชใ fact4: ้็ฝใใชใใขใณในใฟใผใฏๅฃใ้ฃใใจใใใใจใฏใชใใใพใใฏ่ชใใฃใฝใใใใใใฏใฉใกใใใงใใ ; $hypothesis$ = ใใใฎใฝใซใฝใญLv.29ใฏๅฃใ้ฃใใชใใใพใใฏ่ชใใฃใฝใใใพใใฏไธกๆนใงใใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ(ยฌ{AA}{a} v {FU}{a}) fact2: ยฌ{AA}{el} fact3: ยฌ(ยฌ{AA}{a} v {AB}{a}) fact4: (x): ยฌ{A}x -> (ยฌ{AA}x v {AB}x) ; $hypothesis$ = ยฌ(ยฌ{AA}{a} v {AB}{a}) ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใในใฆใฎใขใณในใฟใผใฏใฟใฃใจใใชใ | (x): {A}x | fact1: ใๅ
จใฆใฎใขใณในใฟใผใฏๅพก้ฃ็ตกใใใใจใใใใจใฏๆญฃใใ fact2: ใใใใใขใณในใฟใผใฏไปๆใ fact3: ใฟใฃใจใใชใใขใณในใฟใผใฏ้ธ่ใใ fact4: ใในใฆใฎใขใณในใฟใผใฏ้ๆใใ fact5: ใใใใใขใณในใฟใผใฏใกใฃใใ | fact1: (x): {FM}x fact2: (x): {ER}x fact3: (x): {A}x -> {CM}x fact4: (x): {DH}x fact5: (x): {HR}x | [] | [] | ใในใฆใฎใขใณในใฟใผใฏ้ธ่ใใ | (x): {CM}x | [
"fact6 -> int1: ใใใใใฎใฟใซใ
ใฟใซใLv.34ใใฟใฃใจใใชใใชใใใฎใฟใซใ
ใฟใซใLv.34ใฏ้ธ่ใใ;"
] | 7 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใๅ
จใฆใฎใขใณในใฟใผใฏๅพก้ฃ็ตกใใใใจใใใใจใฏๆญฃใใ fact2: ใใใใใขใณในใฟใผใฏไปๆใ fact3: ใฟใฃใจใใชใใขใณในใฟใผใฏ้ธ่ใใ fact4: ใในใฆใฎใขใณในใฟใผใฏ้ๆใใ fact5: ใใใใใขใณในใฟใผใฏใกใฃใใ ; $hypothesis$ = ใในใฆใฎใขใณในใฟใผใฏใฟใฃใจใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {FM}x fact2: (x): {ER}x fact3: (x): {A}x -> {CM}x fact4: (x): {DH}x fact5: (x): {HR}x ; $hypothesis$ = (x): {A}x ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใฟใใฟใชLv.89ใฏ็ด ๆดใใใใชใ | ยฌ{A}{a} | fact1: ไปฎใซใชใซใใใใฎใขใณในใฟใผใๅฐๆใใใใจใใใใจใฏใชใใจใใใใใใฏ็ด ๆดใใใใใใใฏ็ฒใๅผทใ fact2: ใใฎใฟใใฟใชLv.89ใฏ็ด ๆดใใใ fact3: ใใฎใฝใกใ
ใฝใชLv.94ใฏ็ด ๆดใใใ fact4: ใใฎใฟใใฟใชLv.89ใฏๆใใ | fact1: (x): ยฌ{C}x -> ({A}x & {B}x) fact2: {A}{a} fact3: {A}{ii} fact4: {FG}{a} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใฎใทใซใใทใLv.6ใฏ็ด ๆดใใใ | {A}{q} | [
"fact5 -> int1: ใใใใใฎใฟใใฟใชLv.89ใๅฐๆใใใใชใใจใใใจใใฎใฟใใฟใชLv.89ใฏ็ด ๆดใใใใฆๅ ใใฆ็ฒใๅผทใ;"
] | 6 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ไปฎใซใชใซใใใใฎใขใณในใฟใผใๅฐๆใใใใจใใใใจใฏใชใใจใใใใใใฏ็ด ๆดใใใใใใใฏ็ฒใๅผทใ fact2: ใใฎใฟใใฟใชLv.89ใฏ็ด ๆดใใใ fact3: ใใฎใฝใกใ
ใฝใชLv.94ใฏ็ด ๆดใใใ fact4: ใใฎใฟใใฟใชLv.89ใฏๆใใ ; $hypothesis$ = ใใฎใฟใใฟใชLv.89ใฏ็ด ๆดใใใใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{C}x -> ({A}x & {B}x) fact2: {A}{a} fact3: {A}{ii} fact4: {FG}{a} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใดใซใ
ใดใLv.7ใฏไบค้ใใ | {A}{a} | fact1: ใใฎใดใซใ
ใดใLv.7ใฏใฉใใใฆ่ฏใ fact2: ใใฎใใฎใใซใLv.11ใฏไบค้ใใ | fact1: {B}{a} fact2: {A}{cn} | [] | [] | null | null | [] | null | 1 | 1 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใฎใดใซใ
ใดใLv.7ใฏใฉใใใฆ่ฏใ fact2: ใใฎใใฎใใซใLv.11ใฏไบค้ใใ ; $hypothesis$ = ใใฎใดใซใ
ใดใLv.7ใฏไบค้ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: {A}{cn} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใฝใชใฝใญLv.25ไบไปถใฏ่ตทใใชใ | ยฌ{A} | fact1: ใใใใทใกใใทใกใLv.44ไบไปถใฏ็บ็ใใชใใจใใใฐใใดใใดใLv.18ไบไปถใใใณ็ฆใใฃใใใจใใใใจใ็บ็ใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ไปฎใซใใดใใดใLv.18ไบไปถใจ็ฆใใฃใใใจใใใใจใฉใกใใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใชใ้ใใจใใใใจใฏ่ตทใใใชใ fact3: ใใไปฎใซ้ใใจใใใใจใฏ็บ็ใใชใใจใใใฐ่ผธ้ใใใใจใจใฝใชใฝใญLv.25ไบไปถใ่ตทใใ fact4: ใ้ใใจใใใใจใ่ตทใใใ็ฆใใฃใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใชใใฝใชใฝใญLv.25ไบไปถใฏ่ตทใใชใ | fact1: ยฌ{E} -> ยฌ({D} & {C}) fact2: ยฌ({D} & {C}) -> ยฌ{B} fact3: ยฌ{B} -> ({CM} & {A}) fact4: ยฌ({B} & {C}) -> ยฌ{A} | [] | [] | ่ผธ้ใใใใจใ่ตทใใ | {CM} | [] | 8 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใทใกใใทใกใLv.44ไบไปถใฏ็บ็ใใชใใจใใใฐใใดใใดใLv.18ไบไปถใใใณ็ฆใใฃใใใจใใใใจใ็บ็ใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ไปฎใซใใดใใดใLv.18ไบไปถใจ็ฆใใฃใใใจใใใใจใฉใกใใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใชใ้ใใจใใใใจใฏ่ตทใใใชใ fact3: ใใไปฎใซ้ใใจใใใใจใฏ็บ็ใใชใใจใใใฐ่ผธ้ใใใใจใจใฝใชใฝใญLv.25ไบไปถใ่ตทใใ fact4: ใ้ใใจใใใใจใ่ตทใใใ็ฆใใฃใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใชใใฝใชใฝใญLv.25ไบไปถใฏ่ตทใใชใ ; $hypothesis$ = ใฝใชใฝใญLv.25ไบไปถใฏ่ตทใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{E} -> ยฌ({D} & {C}) fact2: ยฌ({D} & {C}) -> ยฌ{B} fact3: ยฌ{B} -> ({CM} & {A}) fact4: ยฌ({B} & {C}) -> ยฌ{A} ; $hypothesis$ = ยฌ{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใใซใใใLv.73ใฏ็ใพใใใใใใๅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({AA}{a} & ยฌ{AB}{a}) | fact1: ใใฎใใซใใใLv.73ใฏ็ใพใใใใฉๅใ
ใใใจใใใใจใฏใชใ fact2: ไปฎใซใใใขใณในใฟใผใฏๅๅฉ็จใใใชใใ็ใพใใใใใฉๅใ
ใใใชใใใจใใใใจใฏๅฝใงใใ | fact1: ({AA}{a} & ยฌ{AB}{a}) fact2: (x): {A}x -> ยฌ({AA}x & ยฌ{AB}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใใใฎใใซใใใLv.73ใฏ็ใพใใใใใใๅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({AA}{a} & ยฌ{AB}{a}) | [
"fact3 -> int1: ใใใใใใใฎใใซใใใLv.73ใฏๅๅฉ็จใใใใจใใใใจใฏๅใงใชใใจใใใฐใใใฎใใซใใใLv.73ใฏ็ใพใใใใใใๅใ
ใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏไบๅฎใงใใ;"
] | 4 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใใซใใใLv.73ใฏ็ใพใใใใฉๅใ
ใใใจใใใใจใฏใชใ fact2: ไปฎใซใใใขใณในใฟใผใฏๅๅฉ็จใใใชใใ็ใพใใใใใฉๅใ
ใใใชใใใจใใใใจใฏๅฝใงใใ ; $hypothesis$ = ใใใฎใใซใใใLv.73ใฏ็ใพใใใใใใๅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{a} & ยฌ{AB}{a}) fact2: (x): {A}x -> ยฌ({AA}x & ยฌ{AB}x) ; $hypothesis$ = ยฌ({AA}{a} & ยฌ{AB}{a}) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใดใกใใดใLv.96ไบไปถใฏ่ตทใใใชใ | ยฌ{A} | fact1: ใดใกใใดใLv.96ไบไปถใ็บ็ใใ fact2: ใใไปฎใซใใๅฎใใจใใใใจใฏ็บ็ใใใใใใใฏใพใใพใกใLv.59ไบไปถใฏ่ตทใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใใจใใใใจใฏๆใ็ซใคใจใใใใดใกใใดใLv.96ไบไปถใฏ็บ็ใใชใ | fact1: {A} fact2: ยฌ({C} v ยฌ{B}) -> ยฌ{A} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใดใกใใดใLv.96ไบไปถใฏ่ตทใใใชใ | ยฌ{A} | [] | 6 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใดใกใใดใLv.96ไบไปถใ็บ็ใใ fact2: ใใไปฎใซใใๅฎใใจใใใใจใฏ็บ็ใใใใใใใฏใพใใพใกใLv.59ไบไปถใฏ่ตทใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใใจใใใใจใฏๆใ็ซใคใจใใใใดใกใใดใLv.96ไบไปถใฏ็บ็ใใชใ ; $hypothesis$ = ใดใกใใดใLv.96ไบไปถใฏ่ตทใใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ยฌ({C} v ยฌ{B}) -> ยฌ{A} ; $hypothesis$ = ยฌ{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใใขใณในใฟใผใฏ็็ฝใใใจใใใใจใฏๅฝใ | ยฌ((x): {A}x) | fact1: ใใใใใใขใณในใฟใผใฏ็็ฝใใใจใใใใจใฏ็ขบใใงใใ | fact1: (x): {A}x | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใใใใขใณในใฟใผใฏ็็ฝใใใจใใใใจใฏ็ขบใใงใใ ; $hypothesis$ = ใใใใใใขใณในใฟใผใฏ็็ฝใใใจใใใใจใฏๅฝใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = ยฌ((x): {A}x) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใๅ
จใฆใฎใขใณในใฟใผใฏ้ธๆใๆใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ((x): {A}x) | fact1: ใ็่งฃใ้ฃใใขใณในใฟใผใฏ็ด ใฃๆฐใชใใใจใใใใจใฏๆฌๅฝใ fact2: ใในใฆใฎใขใณในใฟใผใฏ็ณใ่พผใฟใใ fact3: ๅ
จใฆใฎใขใณในใฟใผใฏ็่งฃใ้ฃใ fact4: ใในใฆใฎใขใณในใฟใผใฏ้ธๆใๆใ | fact1: (x): {C}x -> {B}x fact2: (x): {DO}x fact3: (x): {C}x fact4: (x): {A}x | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ๅ
จใฆใฎใขใณในใฟใผใฏใใใใฃใฝใ | (x): {FA}x | [
"fact5 -> int1: ใใฎใใใใฎLv.45ใฏ็่งฃใ้ฃใ; fact6 -> int2: ใใใใใฎใใใใฎLv.45ใ็่งฃใ้ฃใใจใใใฐใใฎใใใใฎLv.45ใฏ็ด ใฃๆฐใชใ; int1 & int2 -> int3: ใใฎใใใใฎLv.45ใฏ็ด ใฃๆฐใชใ;"
] | 5 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใ็่งฃใ้ฃใใขใณในใฟใผใฏ็ด ใฃๆฐใชใใใจใใใใจใฏๆฌๅฝใ fact2: ใในใฆใฎใขใณในใฟใผใฏ็ณใ่พผใฟใใ fact3: ๅ
จใฆใฎใขใณในใฟใผใฏ็่งฃใ้ฃใ fact4: ใในใฆใฎใขใณในใฟใผใฏ้ธๆใๆใ ; $hypothesis$ = ใๅ
จใฆใฎใขใณในใฟใผใฏ้ธๆใๆใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {C}x -> {B}x fact2: (x): {DO}x fact3: (x): {C}x fact4: (x): {A}x ; $hypothesis$ = ยฌ((x): {A}x) ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎใฟใกใ
ใฟใกใLv.69ใฏๅฃฒใ้ฃใใชใไธๆนใง็ใใใใใจใใใใจใฏๆฌๅฝใงใชใ | ยฌ(ยฌ{A}{aa} & {B}{aa}) | fact1: ใใใใใขใณในใฟใผใฏๅพกๅฎใใชใใใใฎไธ็ซๅ่ฃใใ fact2: ใใใใใขใณในใฟใผใฏๅ
ฑ้ณดใๆใใชใ fact3: ๅ
จใฆใฎใขใณในใฟใผใฏ้ใณๆญฉใใชใ | fact1: (x): (ยฌ{EP}x & {HO}x) fact2: (x): ยฌ{R}x fact3: (x): ยฌ{DH}x | [] | [] | null | null | [] | null | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใใใใขใณในใฟใผใฏๅพกๅฎใใชใใใใฎไธ็ซๅ่ฃใใ fact2: ใใใใใขใณในใฟใผใฏๅ
ฑ้ณดใๆใใชใ fact3: ๅ
จใฆใฎใขใณในใฟใผใฏ้ใณๆญฉใใชใ ; $hypothesis$ = ใใใฎใฟใกใ
ใฟใกใLv.69ใฏๅฃฒใ้ฃใใชใไธๆนใง็ใใใใใจใใใใจใฏๆฌๅฝใงใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): (ยฌ{EP}x & {HO}x) fact2: (x): ยฌ{R}x fact3: (x): ยฌ{DH}x ; $hypothesis$ = ยฌ(ยฌ{A}{aa} & {B}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใๅใฃใฝใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆฌๅฝใงใใ | ยฌ{B} | fact1: ใใใใ่ฟๆธใใใใจใ่ตทใใชใใใใฎไธใฝใใฝใกใLv.52ไบไปถใฏ่ตทใใใชใใใจใใใใจใฏๅใ ใใจใใใใจใฏ็ขบใใงใใใชใใฐๅใฃใฝใใจใใใใจใ็บ็ใใ fact2: ใใใใใ่ปฝใผใใจใใใใจใ่ตทใใใๅซๅณใฃใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏๆฌๅฝใงใชใใใจใใใใจใฏ็ๅฎใชใใฐๅใฃใฝใใจใใใใจใฏ็ใใชใ fact3: ใ่ฟๆธใใใใจใ็บ็ใใชใใใใใซใฝใใฝใกใLv.52ไบไปถใฏ็บ็ใใชใใใจใใใใจใฏ้้ใใงใใ | fact1: ยฌ(ยฌ{AA} & ยฌ{AB}) -> {B} fact2: ยฌ({A} & ยฌ{C}) -> ยฌ{B} fact3: ยฌ(ยฌ{AA} & ยฌ{AB}) | [
"fact1 & fact3 -> hypothesis;"
] | [
"fact1 & fact3 -> hypothesis;"
] | ใๅใฃใฝใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆฌๅฝใงใใ | ยฌ{B} | [] | 6 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใ่ฟๆธใใใใจใ่ตทใใชใใใใฎไธใฝใใฝใกใLv.52ไบไปถใฏ่ตทใใใชใใใจใใใใจใฏๅใ ใใจใใใใจใฏ็ขบใใงใใใชใใฐๅใฃใฝใใจใใใใจใ็บ็ใใ fact2: ใใใใใ่ปฝใผใใจใใใใจใ่ตทใใใๅซๅณใฃใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏๆฌๅฝใงใชใใใจใใใใจใฏ็ๅฎใชใใฐๅใฃใฝใใจใใใใจใฏ็ใใชใ fact3: ใ่ฟๆธใใใใจใ็บ็ใใชใใใใใซใฝใใฝใกใLv.52ไบไปถใฏ็บ็ใใชใใใจใใใใจใฏ้้ใใงใใ ; $hypothesis$ = ใๅใฃใฝใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆฌๅฝใงใใ ; $proof$ = | fact1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ(ยฌ{AA} & ยฌ{AB}) -> {B} fact2: ยฌ({A} & ยฌ{C}) -> ยฌ{B} fact3: ยฌ(ยฌ{AA} & ยฌ{AB}) ; $hypothesis$ = ยฌ{B} ; $proof$ = | fact1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ๅฉใ้ฃใใจใใใใจใ็ใใ | {A} | fact1: ๅใใใใใจใใใใจใฏ็บ็ใใชใใชใๅฉใ้ฃใใจใใใใจใ็บ็ใใใใใคใฟใซใใฟใซLv.61ไบไปถใ่ตทใใ fact2: ๆปใๆใใจใใใใจใ่ตทใใ fact3: ใ็ด ไบบใฃใฝใใจใใใใจใ็บ็ใใใๅใใใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๅฉใ้ฃใใจใใใใจใๅ้ฟใใ | fact1: ยฌ{B} -> ({A} & {AC}) fact2: {GE} fact3: ({C} & ยฌ{B}) -> ยฌ{A} | [] | [] | ๅฉใ้ฃใใจใใใใจใฏ่ตทใใใชใ | ยฌ{A} | [] | 6 | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๅใใใใใจใใใใจใฏ็บ็ใใชใใชใๅฉใ้ฃใใจใใใใจใ็บ็ใใใใใคใฟใซใใฟใซLv.61ไบไปถใ่ตทใใ fact2: ๆปใๆใใจใใใใจใ่ตทใใ fact3: ใ็ด ไบบใฃใฝใใจใใใใจใ็บ็ใใใๅใใใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๅฉใ้ฃใใจใใใใจใๅ้ฟใใ ; $hypothesis$ = ๅฉใ้ฃใใจใใใใจใ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{B} -> ({A} & {AC}) fact2: {GE} fact3: ({C} & ยฌ{B}) -> ยฌ{A} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ใพใซใใพใซLv.1ไบไปถใฏ่ตทใใใชใ | ยฌ{A} | fact1: ใใไปฎใซใใดใใดใฎLv.48ไบไปถใฏ็ใใชใใฆ็ฐ่ฒใฃใฝใใจใใใใจใฏ็ใใชใใใจใใใใจใฏ้้ใใชใใฐใพใซใใพใซLv.1ไบไปถใฏ็บ็ใใชใ | fact1: ยฌ(ยฌ{C} & ยฌ{B}) -> ยฌ{A} | [] | [] | ใพใซใใพใซLv.1ไบไปถใฏ่ตทใใใชใ | ยฌ{A} | [] | 6 | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใไปฎใซใใดใใดใฎLv.48ไบไปถใฏ็ใใชใใฆ็ฐ่ฒใฃใฝใใจใใใใจใฏ็ใใชใใใจใใใใจใฏ้้ใใชใใฐใพใซใใพใซLv.1ไบไปถใฏ็บ็ใใชใ ; $hypothesis$ = ใพใซใใพใซLv.1ไบไปถใฏ่ตทใใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ(ยฌ{C} & ยฌ{B}) -> ยฌ{A} ; $hypothesis$ = ยฌ{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใดใญใดใกใLv.19ใฏ่ๆใใใชใ | ยฌ{B}{a} | fact1: ใใฎใฟใซใใฟใLv.43ใ็ต้จๅบๆฅใใจใใใฐใใฎใฟใซใใฟใLv.43ใฏๆธ
ใ fact2: ใใฎใดใญใดใกใLv.19ใฏๆธ
ใ fact3: ใใใใฎใดใญใดใกใLv.19ใฏๆธ
ใใจใใใใใใฎใดใญใดใกใLv.19ใฏ่ๆใใใใจใใใใจใฏๆญฃใใ fact4: ใใใใฎใฟใใฟใซใLv.30ใ่ๆใใใชใใฆใใใๆธ
ใใจใใใใจใฏใชใใจใใใใใฎใดใญใดใกใLv.19ใฏ่ๆใใใชใ | fact1: {R}{gi} -> {A}{gi} fact2: {A}{a} fact3: {A}{a} -> {B}{a} fact4: (ยฌ{B}{b} & ยฌ{A}{b}) -> ยฌ{B}{a} | [
"fact3 & fact2 -> hypothesis;"
] | [
"fact3 & fact2 -> hypothesis;"
] | ใใฎใดใญใดใกใLv.19ใฏ่ๆใใใชใ | ยฌ{B}{a} | [] | 5 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใฟใซใใฟใLv.43ใ็ต้จๅบๆฅใใจใใใฐใใฎใฟใซใใฟใLv.43ใฏๆธ
ใ fact2: ใใฎใดใญใดใกใLv.19ใฏๆธ
ใ fact3: ใใใใฎใดใญใดใกใLv.19ใฏๆธ
ใใจใใใใใใฎใดใญใดใกใLv.19ใฏ่ๆใใใใจใใใใจใฏๆญฃใใ fact4: ใใใใฎใฟใใฟใซใLv.30ใ่ๆใใใชใใฆใใใๆธ
ใใจใใใใจใฏใชใใจใใใใใฎใดใญใดใกใLv.19ใฏ่ๆใใใชใ ; $hypothesis$ = ใใฎใดใญใดใกใLv.19ใฏ่ๆใใใชใ ; $proof$ = | fact3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {R}{gi} -> {A}{gi} fact2: {A}{a} fact3: {A}{a} -> {B}{a} fact4: (ยฌ{B}{b} & ยฌ{A}{b}) -> ยฌ{B}{a} ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | fact3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใดใซใดใกใLv.69ไบไปถใ่ตทใใใใจใใใใจใฏ้้ใฃใฆใใชใ | {B} | fact1: ไปฎใซใใชใใLv.66ไบไปถใฏ่ตทใใใชใใจใใใจใใทใใทใกใLv.28ไบไปถใใใณใฝใใฝใฎLv.18ไบไปถใ่ตทใใใใจใใใใจใฏๆฌๅฝใงใชใ fact2: ใใไปฎใซ็็ฝใใจใใใใจใ็บ็ใใใจใใใฐใใชใใLv.66ไบไปถใ็บ็ใใชใใใใใซใฝใใฝใLv.71ไบไปถใฏ็บ็ใใชใ fact3: ใคใณใใผใใใใใจใ็ใใ fact4: ใคใณใใผใใใใใจใฏใดใซใดใกใLv.69ไบไปถใๆใ fact5: ใใฟใใฟใชLv.47ไบไปถใฏ็ใใชใใใจใใใใจใฏใใดใซใดใกใLv.69ไบไปถใ็บ็ใใชใใฆใคใณใใผใใใใใจใฏ็บ็ใใชใใใจใใใใจใ่ช็บใใ fact6: ใใใใใทใใทใกใLv.28ไบไปถใจใฝใใฝใฎLv.18ไบไปถใฉใกใใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใจใใใใทใใทใกใLv.28ไบไปถใฏ่ตทใใชใ fact7: ใใใใทใใทใกใLv.28ไบไปถใ่ตทใใใชใใจใใใฐใดใซใดใกใLv.69ไบไปถใงใฏใชใใฆใฟใใฟใชLv.47ไบไปถใฏ็บ็ใใ | fact1: ยฌ{E} -> ยฌ({D} & {F}) fact2: {H} -> (ยฌ{E} & ยฌ{G}) fact3: {A} fact4: {A} -> {B} fact5: ยฌ{C} -> (ยฌ{B} & ยฌ{A}) fact6: ยฌ({D} & {F}) -> ยฌ{D} fact7: ยฌ{D} -> (ยฌ{B} & {C}) | [
"fact4 & fact3 -> hypothesis;"
] | [
"fact4 & fact3 -> hypothesis;"
] | ใดใซใดใกใLv.69ไบไปถใฏ็ใใชใ | ยฌ{B} | [] | 6 | 1 | 1 | 1 | 1 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ไปฎใซใใชใใLv.66ไบไปถใฏ่ตทใใใชใใจใใใจใใทใใทใกใLv.28ไบไปถใใใณใฝใใฝใฎLv.18ไบไปถใ่ตทใใใใจใใใใจใฏๆฌๅฝใงใชใ fact2: ใใไปฎใซ็็ฝใใจใใใใจใ็บ็ใใใจใใใฐใใชใใLv.66ไบไปถใ็บ็ใใชใใใใใซใฝใใฝใLv.71ไบไปถใฏ็บ็ใใชใ fact3: ใคใณใใผใใใใใจใ็ใใ fact4: ใคใณใใผใใใใใจใฏใดใซใดใกใLv.69ไบไปถใๆใ fact5: ใใฟใใฟใชLv.47ไบไปถใฏ็ใใชใใใจใใใใจใฏใใดใซใดใกใLv.69ไบไปถใ็บ็ใใชใใฆใคใณใใผใใใใใจใฏ็บ็ใใชใใใจใใใใจใ่ช็บใใ fact6: ใใใใใทใใทใกใLv.28ไบไปถใจใฝใใฝใฎLv.18ไบไปถใฉใกใใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใจใใใใทใใทใกใLv.28ไบไปถใฏ่ตทใใชใ fact7: ใใใใทใใทใกใLv.28ไบไปถใ่ตทใใใชใใจใใใฐใดใซใดใกใLv.69ไบไปถใงใฏใชใใฆใฟใใฟใชLv.47ไบไปถใฏ็บ็ใใ ; $hypothesis$ = ใใดใซใดใกใLv.69ไบไปถใ่ตทใใใใจใใใใจใฏ้้ใฃใฆใใชใ ; $proof$ = | fact4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{E} -> ยฌ({D} & {F}) fact2: {H} -> (ยฌ{E} & ยฌ{G}) fact3: {A} fact4: {A} -> {B} fact5: ยฌ{C} -> (ยฌ{B} & ยฌ{A}) fact6: ยฌ({D} & {F}) -> ยฌ{D} fact7: ยฌ{D} -> (ยฌ{B} & {C}) ; $hypothesis$ = {B} ; $proof$ = | fact4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใใพใฎLv.45ใฏใคใใชใ | {B}{b} | fact1: ใ็ใใใขใณในใฟใผใฏใคใใชใใใจใใใใจใฏๆใ็ซใค fact2: ใใใฎใฝใญใฝใฎLv.22ใฏ็ถใๆใใใจใใใใจใฏๅใงใชใ fact3: ใใใใฎใฝใญใฝใฎLv.22ใฏ็ถใๆใใจใใใฐใใใฎใพใใพใฎLv.45ใฏใคใใชใใใจใใใใจใฏๆญฃใใ fact4: ใใใใใฎใพใใพใฎLv.45ใฏ็ๅคใใชใใใใใฏ็ฅ่ฆใใใใจใใใใจใฏๅฝใ ใจใใใฐใใฎใฝใญใฝใฎLv.22ใฏ็ฅ่ฆใใชใ fact5: ใใไปฎใซไฝใใใฎใขใณในใฟใผใฏ็ใใใจใใใใจใฏใชใใชใใฐใใใใฏใคใใชใใชใใฆ็ถใๆใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใค fact6: ็ๅคใใชใใใใใ็ฅ่ฆใใใจใใใขใณในใฟใผใฏใชใ fact7: ใใไปฎใซใใใขใณในใฟใผใ็ฅ่ฆใใชใใจใใใ็ใใใใใใซๅดฉใๆใ | fact1: (x): {C}x -> {B}x fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: ยฌ(ยฌ{F}{b} & {E}{b}) -> ยฌ{E}{a} fact5: (x): ยฌ{C}x -> (ยฌ{B}x & ยฌ{A}x) fact6: (x): ยฌ(ยฌ{F}x & {E}x) fact7: (x): ยฌ{E}x -> ({C}x & {D}x) | [
"fact3 & fact2 -> hypothesis;"
] | [
"fact3 & fact2 -> hypothesis;"
] | ใใฎใฝใใฝใกใLv.62ใฏ็ถใๆใ | {A}{gh} | [
"fact9 -> int1: ใใใใฎใฝใญใฝใฎLv.22ใ็ใใใชใใใฎใฝใญใฝใฎLv.22ใฏใคใใชใ; fact10 -> int2: ใใใใใฎใฝใญใฝใฎLv.22ใ็ฅ่ฆใใใจใใใใจใฏใชใใจใใใ็ใใใฆใใใฏๅดฉใๆใ; fact8 -> int3: ใใใฎใพใใพใฎLv.45ใฏ็ๅคใใชใใใฉ็ฅ่ฆใใใใจใใใใจใฏๅฝใงใใ; fact11 & int3 -> int4: ใใฎใฝใญใฝใฎLv.22ใฏ็ฅ่ฆใใใจใใใใจใฏใชใ; int2 & int4 -> int5: ใใฎใฝใญใฝใฎLv.22ใฏ็ใใใๅดฉใๆใ; int5 -> int6: ใใฎใฝใญใฝใฎLv.22ใฏ็ใใ; int1 & int6 -> int7: ใใฎใฝใญใฝใฎLv.22ใฏใคใใชใ; int7 -> int8: ใใคใใชใใใขใณในใฟใผใฏใใ;"
] | 7 | 1 | 1 | 1 | 1 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใ็ใใใขใณในใฟใผใฏใคใใชใใใจใใใใจใฏๆใ็ซใค fact2: ใใใฎใฝใญใฝใฎLv.22ใฏ็ถใๆใใใจใใใใจใฏๅใงใชใ fact3: ใใใใฎใฝใญใฝใฎLv.22ใฏ็ถใๆใใจใใใฐใใใฎใพใใพใฎLv.45ใฏใคใใชใใใจใใใใจใฏๆญฃใใ fact4: ใใใใใฎใพใใพใฎLv.45ใฏ็ๅคใใชใใใใใฏ็ฅ่ฆใใใใจใใใใจใฏๅฝใ ใจใใใฐใใฎใฝใญใฝใฎLv.22ใฏ็ฅ่ฆใใชใ fact5: ใใไปฎใซไฝใใใฎใขใณในใฟใผใฏ็ใใใจใใใใจใฏใชใใชใใฐใใใใฏใคใใชใใชใใฆ็ถใๆใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใค fact6: ็ๅคใใชใใใใใ็ฅ่ฆใใใจใใใขใณในใฟใผใฏใชใ fact7: ใใไปฎใซใใใขใณในใฟใผใ็ฅ่ฆใใชใใจใใใ็ใใใใใใซๅดฉใๆใ ; $hypothesis$ = ใใฎใพใใพใฎLv.45ใฏใคใใชใ ; $proof$ = | fact3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {C}x -> {B}x fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: ยฌ(ยฌ{F}{b} & {E}{b}) -> ยฌ{E}{a} fact5: (x): ยฌ{C}x -> (ยฌ{B}x & ยฌ{A}x) fact6: (x): ยฌ(ยฌ{F}x & {E}x) fact7: (x): ยฌ{E}x -> ({C}x & {D}x) ; $hypothesis$ = {B}{b} ; $proof$ = | fact3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใใใใคๅคชใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A}{a} & {B}{a}) | fact1: ไปฎใซใใฎใทใใทใซLv.44ใฏ่งฃใ้ฃใใชใใๅ ใใฆ่จใใชใใจใใใจใใใฎใใญใใซใ
Lv.29ใฏ่จใใชใใใจใใใใจใฏๆฌๅฝใ fact2: ใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใ fact3: ใใฎใใญใใซใ
Lv.29ใฏ่จใใชใใจใใใใใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใใๆดใซๅคชใใใจใใใใจใฏ้้ใใ fact4: ใใใใใฎใพใซใ
ใพใกใLv.62ใ่จใใชใใฆๅคชใใชใใจใใใฐใใฎใพใกใ
ใพใซใLv.52ใฏๅคชใ fact5: ใใใใไฝใใใฎใขใณในใฟใผใฏ่งฃใ้ฃใใใใฎไธ็ด่จณใใใใจใใใใจใฏ้้ใฃใฆใใใชใ็ด่จณใใชใ fact6: ใใฎใพใซใ
ใพใกใLv.62ใฏๅคชใ | fact1: (ยฌ{E}{c} & ยฌ{C}{c}) -> ยฌ{C}{b} fact2: {A}{a} fact3: ยฌ{C}{b} -> ยฌ({A}{a} & {B}{a}) fact4: (ยฌ{C}{a} & ยฌ{B}{a}) -> {B}{ia} fact5: (x): ยฌ({E}x & {A}x) -> ยฌ{A}x fact6: {B}{a} | [
"fact2 & fact6 -> hypothesis;"
] | [
"fact2 & fact6 -> hypothesis;"
] | ใใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใใใใคๅคชใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A}{a} & {B}{a}) | [] | 6 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ไปฎใซใใฎใทใใทใซLv.44ใฏ่งฃใ้ฃใใชใใๅ ใใฆ่จใใชใใจใใใจใใใฎใใญใใซใ
Lv.29ใฏ่จใใชใใใจใใใใจใฏๆฌๅฝใ fact2: ใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใ fact3: ใใฎใใญใใซใ
Lv.29ใฏ่จใใชใใจใใใใใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใใๆดใซๅคชใใใจใใใใจใฏ้้ใใ fact4: ใใใใใฎใพใซใ
ใพใกใLv.62ใ่จใใชใใฆๅคชใใชใใจใใใฐใใฎใพใกใ
ใพใซใLv.52ใฏๅคชใ fact5: ใใใใไฝใใใฎใขใณในใฟใผใฏ่งฃใ้ฃใใใใฎไธ็ด่จณใใใใจใใใใจใฏ้้ใฃใฆใใใชใ็ด่จณใใชใ fact6: ใใฎใพใซใ
ใพใกใLv.62ใฏๅคชใ ; $hypothesis$ = ใใใฎใพใซใ
ใพใกใLv.62ใฏ็ด่จณใใใใใคๅคชใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | fact2 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (ยฌ{E}{c} & ยฌ{C}{c}) -> ยฌ{C}{b} fact2: {A}{a} fact3: ยฌ{C}{b} -> ยฌ({A}{a} & {B}{a}) fact4: (ยฌ{C}{a} & ยฌ{B}{a}) -> {B}{ia} fact5: (x): ยฌ({E}x & {A}x) -> ยฌ{A}x fact6: {B}{a} ; $hypothesis$ = ยฌ({A}{a} & {B}{a}) ; $proof$ = | fact2 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฝใซใใฝใซใ
Lv.19ใฏ้ทใ | {A}{a} | fact1: ใใฎใฝใซใใฝใซใ
Lv.19ใฏ้ทใ fact2: ใในใฆใฎใขใณในใฟใผใฏ้ฃฒใฟๆใใชใใฆๆใก็ถใใชใ fact3: ใใใใใขใณในใฟใผใๆฏ้็กใใชใใชใใฐใใใฏ้ทใใชใใ่กใๆใ fact4: ้ฃฒใฟๆใใชใใขใณในใฟใผใงใใฃใฆๅ ใใฆๆใก็ถใใชใใขใณในใฟใผใฏๆฏๆธใใชใ fact5: ใใฎใฝใซใฝใLv.93ใ้ข็ฝใใชใใจใใใจใใฎใฝใซใใฝใซใ
Lv.19ใฏๆฏ้็กใใฆๅ ใใฆ่กใๆใ fact6: ใใใไปฎใซไฝใใใฎใขใณในใฟใผใๆฏๆธใใชใใจใใใฐใใใฏไบคๆตๅบๆฅใชใใฆ้ข็ฝใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใค | fact1: {A}{a} fact2: (x): (ยฌ{H}x & ยฌ{G}x) fact3: (x): ยฌ{B}x -> (ยฌ{A}x & {C}x) fact4: (x): (ยฌ{H}x & ยฌ{G}x) -> ยฌ{F}x fact5: ยฌ{D}{b} -> ({B}{a} & {C}{a}) fact6: (x): ยฌ{F}x -> (ยฌ{E}x & ยฌ{D}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใใฎใฝใซใใฝใซใ
Lv.19ใฏ้ทใใชใ | ยฌ{A}{a} | [
"fact7 -> int1: ใใฎใฝใซใฝใLv.93ใฏๆฏ้็กใใชใใชใใใใฎใฝใซใฝใLv.93ใฏ้ทใใชใใใใฉ่กใๆใใใจใใใใจใฏ็ขบใใ ;"
] | 5 | 1 | 1 | 0 | 0 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฎใฝใซใใฝใซใ
Lv.19ใฏ้ทใ fact2: ใในใฆใฎใขใณในใฟใผใฏ้ฃฒใฟๆใใชใใฆๆใก็ถใใชใ fact3: ใใใใใขใณในใฟใผใๆฏ้็กใใชใใชใใฐใใใฏ้ทใใชใใ่กใๆใ fact4: ้ฃฒใฟๆใใชใใขใณในใฟใผใงใใฃใฆๅ ใใฆๆใก็ถใใชใใขใณในใฟใผใฏๆฏๆธใใชใ fact5: ใใฎใฝใซใฝใLv.93ใ้ข็ฝใใชใใจใใใจใใฎใฝใซใใฝใซใ
Lv.19ใฏๆฏ้็กใใฆๅ ใใฆ่กใๆใ fact6: ใใใไปฎใซไฝใใใฎใขใณในใฟใผใๆฏๆธใใชใใจใใใฐใใใฏไบคๆตๅบๆฅใชใใฆ้ข็ฝใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฎใฝใซใใฝใซใ
Lv.19ใฏ้ทใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): (ยฌ{H}x & ยฌ{G}x) fact3: (x): ยฌ{B}x -> (ยฌ{A}x & {C}x) fact4: (x): (ยฌ{H}x & ยฌ{G}x) -> ยฌ{F}x fact5: ยฌ{D}{b} -> ({B}{a} & {C}{a}) fact6: (x): ยฌ{F}x -> (ยฌ{E}x & ยฌ{D}x) ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใพใซใพใLv.42ไบไปถใ่ตทใใ | {A} | fact1: ใพใซใพใLv.42ไบไปถใ่ตทใใ fact2: ๅใ่ฝใกใใใจใ่ตทใใ fact3: ใใดใซใดใกใ
Lv.77ไบไปถใ่ตทใใใใจใใใใจใฏไบๅฎใงใใ | fact1: {A} fact2: {HS} fact3: {DS} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ใพใซใพใLv.42ไบไปถใ่ตทใใ fact2: ๅใ่ฝใกใใใจใ่ตทใใ fact3: ใใดใซใดใกใ
Lv.77ไบไปถใ่ตทใใใใจใใใใจใฏไบๅฎใงใใ ; $hypothesis$ = ใพใซใพใLv.42ไบไปถใ่ตทใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {HS} fact3: {DS} ; $hypothesis$ = {A} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใใกใ
ใใLv.98ใฏๅบใใๆใใชใ | ยฌ{A}{a} | fact1: ใใฎใฟใใฟใญLv.31ใฏๅบใใๆใ fact2: ใใฎใใกใ
ใใLv.98ใฏๅบใใๆใ | fact1: {A}{b} fact2: {A}{a} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใฎใฟใใฟใญLv.31ใฏๅบใใๆใ fact2: ใใฎใใกใ
ใใLv.98ใฏๅบใใๆใ ; $hypothesis$ = ใใฎใใกใ
ใใLv.98ใฏๅบใใๆใใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{b} fact2: {A}{a} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใพใซใพใญLv.81ไบไปถใ่ตทใใ | {A} | fact1: ไปฎใซๅด้งใใใใจใฏ็ใใชใใชใใฐใพใซใพใญLv.81ไบไปถใใใณใใกใใใชLv.91ไบไปถใ็ใใ fact2: ๅด้งใใใใจใ่ตทใใ fact3: ใพใซใพใญLv.81ไบไปถใใใณๅด้งใใใใจไธกๆนใ่ตทใใ fact4: ใดใใดใLv.59ไบไปถใฏ่ตทใใใชใใจใใใใจใใใพใซใพใญLv.81ไบไปถใฏ่ตทใใชใใใจใใใใจใฏใพใซใพใญLv.81ไบไปถใ้ปๆญขใใ | fact1: ยฌ{B} -> ({A} & {FS}) fact2: {B} fact3: ({A} & {B}) fact4: (ยฌ{C} v ยฌ{A}) -> ยฌ{A} | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใพใซใพใญLv.81ไบไปถใฏ็ใใชใ | ยฌ{A} | [] | 6 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ไปฎใซๅด้งใใใใจใฏ็ใใชใใชใใฐใพใซใพใญLv.81ไบไปถใใใณใใกใใใชLv.91ไบไปถใ็ใใ fact2: ๅด้งใใใใจใ่ตทใใ fact3: ใพใซใพใญLv.81ไบไปถใใใณๅด้งใใใใจไธกๆนใ่ตทใใ fact4: ใดใใดใLv.59ไบไปถใฏ่ตทใใใชใใจใใใใจใใใพใซใพใญLv.81ไบไปถใฏ่ตทใใชใใใจใใใใจใฏใพใซใพใญLv.81ไบไปถใ้ปๆญขใใ ; $hypothesis$ = ใพใซใพใญLv.81ไบไปถใ่ตทใใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{B} -> ({A} & {FS}) fact2: {B} fact3: ({A} & {B}) fact4: (ยฌ{C} v ยฌ{A}) -> ยฌ{A} ; $hypothesis$ = {A} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใฝใซใ
ใฝใLv.32ไบไปถใ่ตทใใใใใใใฏๅใฃไปใๆใใจใใใใจใฏ็ใใชใใไธกๆนใ | ({AA} v ยฌ{AB}) | fact1: ใใใพใซใใพใญLv.0ไบไปถใฏ่ตทใใใชใใจใใใจใฝใซใ
ใฝใLv.32ไบไปถใ่ตทใใใๅใฃไปใๆใใจใใใใจใฏ็บ็ใใชใใใใใใฏไธกๆนใงใใ fact2: ใฝใซใ
ใฝใLv.32ไบไปถใ็บ็ใใใใใใใฏๅใฃไปใๆใใจใใใใจใ่ตทใใ | fact1: ยฌ{A} -> ({AA} v ยฌ{AB}) fact2: ({AA} v {AB}) | [] | [] | null | null | [] | null | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใใพใซใใพใญLv.0ไบไปถใฏ่ตทใใใชใใจใใใจใฝใซใ
ใฝใLv.32ไบไปถใ่ตทใใใๅใฃไปใๆใใจใใใใจใฏ็บ็ใใชใใใใใใฏไธกๆนใงใใ fact2: ใฝใซใ
ใฝใLv.32ไบไปถใ็บ็ใใใใใใใฏๅใฃไปใๆใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใฝใซใ
ใฝใLv.32ไบไปถใ่ตทใใใใใใใฏๅใฃไปใๆใใจใใใใจใฏ็ใใชใใไธกๆนใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{A} -> ({AA} v ยฌ{AB}) fact2: ({AA} v {AB}) ; $hypothesis$ = ({AA} v ยฌ{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใพใใพใชLv.70ใฏๅ็บใๆใ | {A}{a} | fact1: ใใฎใพใใพใชLv.70ใฏๅ็บใๆใใๆดใซใใใฏๆๆ
ฎๆทฑใ | fact1: ({A}{a} & {B}{a}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฎใพใใพใชLv.70ใฏๅ็บใๆใใๆดใซใใใฏๆๆ
ฎๆทฑใ ; $hypothesis$ = ใใฎใพใใพใชLv.70ใฏๅ็บใๆใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใญใพใฎLv.19ใฏๆใใใใจใใใใจใฏใชใใใใคๆถๅๅธๅใใๆใใชใ | (ยฌ{AA}{a} & ยฌ{AB}{a}) | fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๅพกๅผใๅใใใ fact2: ใใใใฎใพใญใพใฎLv.19ใฏๆใใใใชใใใใพใใซๆถๅๅธๅใใๆใใชใใใจใใใใจใฏๆญฃใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact3: ใใใขใณในใฟใผใฏ่งฆใๅใใใใชใใจใใใใ้้ใๆใใชใใฆใใใซๆๅฐๆชใใชใใใจใใใใจใฏ่ชคใฃใฆใใ fact4: ใใใฎใทใกใใทใกใLv.45ใฏใใใใชใใฆๆใใใใชใใใจใใใใจใฏๅใงใใ | fact1: (x): {D}x fact2: ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) fact3: (x): ยฌ{A}x -> ยฌ(ยฌ{IF}x & ยฌ{DI}x) fact4: ยฌ(ยฌ{DF}{gh} & ยฌ{AA}{gh}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใใฎใพใญใพใฎLv.19ใฏ้้ใๆใใชใใฆใใคๆๅฐๆชใใชใใใจใใใใจใฏๆฌๅฝใงใชใ | ยฌ(ยฌ{IF}{a} & ยฌ{DI}{a}) | [
"fact5 -> int1: ใใใใใใฎใทใกใใทใกใLv.48ใฏ่งฆใๅใใใใชใใใจใใใใจใฏไบๅฎใงใใใฐใ้้ใๆใใชใใฆใใคๆๅฐๆชใใชใใใจใใใใจใฏๅใงใใ; fact6 -> int2: ใใฎใทใกใใทใกใLv.48ใฏๅพกๅผใๅใใใ;"
] | 6 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๅพกๅผใๅใใใ fact2: ใใใใฎใพใญใพใฎLv.19ใฏๆใใใใชใใใใพใใซๆถๅๅธๅใใๆใใชใใใจใใใใจใฏๆญฃใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact3: ใใใขใณในใฟใผใฏ่งฆใๅใใใใชใใจใใใใ้้ใๆใใชใใฆใใใซๆๅฐๆชใใชใใใจใใใใจใฏ่ชคใฃใฆใใ fact4: ใใใฎใทใกใใทใกใLv.45ใฏใใใใชใใฆๆใใใใชใใใจใใใใจใฏๅใงใใ ; $hypothesis$ = ใใฎใพใญใพใฎLv.19ใฏๆใใใใจใใใใจใฏใชใใใใคๆถๅๅธๅใใๆใใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {D}x fact2: ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) fact3: (x): ยฌ{A}x -> ยฌ(ยฌ{IF}x & ยฌ{DI}x) fact4: ยฌ(ยฌ{DF}{gh} & ยฌ{AA}{gh}) ; $hypothesis$ = (ยฌ{AA}{a} & ยฌ{AB}{a}) ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ไธๆใใใใจใ็ใใใๆธใๅ ใใใใจใ่ตทใใ | ({A} & {B}) | fact1: ไธๆใใใใจใ่ตทใใ fact2: ๆธใๅ ใใใใจใ่ตทใใ fact3: ใพใใพใLv.30ไบไปถใ่ตทใใ | fact1: {A} fact2: {B} fact3: {AH} | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ไธๆใใใใจใ่ตทใใ fact2: ๆธใๅ ใใใใจใ่ตทใใ fact3: ใพใใพใLv.30ไบไปถใ่ตทใใ ; $hypothesis$ = ไธๆใใใใจใ็ใใใๆธใๅ ใใใใจใ่ตทใใ ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {B} fact3: {AH} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ใๅ
จใฆใฎใขใณในใฟใผใฏใใใผใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ | ยฌ((x): {A}x) | fact1: ใใใใใขใณในใฟใผใฏใกใใใ fact2: ใในใฆใฎใขใณในใฟใผใฏใใใผใ fact3: ใในใฆใฎใขใณในใฟใผใฏๆบถใ fact4: ใใใใชใใใใฎใขใณในใฟใผใฏๅพกๅพ
ใกไธใใใๅ ใใฆใกใ
ใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใใฏๅไธ่ดใใชใ | fact1: (x): {GB}x fact2: (x): {A}x fact3: (x): {ET}x fact4: (x): ยฌ({D}x & {C}x) -> ยฌ{B}x | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใใใใขใณในใฟใผใฏๅณใ่พผใ | (x): {BN}x | [
"fact5 -> int1: ใใไปฎใซใใใฎใพใกใใพใLv.69ใฏๅพกๅพ
ใกไธใใใใพใใกใ
ใใใใใจใใใใจใฏ็ๅฎใ ใจใใใใจใฏใชใใจใใใใใใฏๅไธ่ดใใชใ;"
] | 5 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใใขใณในใฟใผใฏใกใใใ fact2: ใในใฆใฎใขใณในใฟใผใฏใใใผใ fact3: ใในใฆใฎใขใณในใฟใผใฏๆบถใ fact4: ใใใใชใใใใฎใขใณในใฟใผใฏๅพกๅพ
ใกไธใใใๅ ใใฆใกใ
ใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใใฏๅไธ่ดใใชใ ; $hypothesis$ = ใๅ
จใฆใฎใขใณในใฟใผใฏใใใผใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {GB}x fact2: (x): {A}x fact3: (x): {ET}x fact4: (x): ยฌ({D}x & {C}x) -> ยฌ{B}x ; $hypothesis$ = ยฌ((x): {A}x) ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใใกใใใซใLv.69ใฏๅงใใใชใ | ยฌ{A}{a} | fact1: ใใฎใใกใใใซใLv.69ใฏๅงใใ fact2: ใใใฎใทใใทใLv.74ใฏๅงใใใใจใใใใจใฏๆญฃใใ | fact1: {A}{a} fact2: {A}{gl} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใฎใใกใใใซใLv.69ใฏๅงใใ fact2: ใใใฎใทใใทใLv.74ใฏๅงใใใใจใใใใจใฏๆญฃใใ ; $hypothesis$ = ใใฎใใกใใใซใLv.69ใฏๅงใใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{gl} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฟใญใฟใLv.62ใฏ้ฃไบใใใจใใใใจใฏใชใ | ยฌ{B}{a} | fact1: ใใฎใฟใญใฟใLv.62ใฏ็บใพใๆใใชใใฆ็ญใ้ฃใใชใ fact2: ใใฎใพใซใใพใLv.96ใฏๅพกๅชใใใชใ fact3: ใใฎใฟใญใฟใLv.62ใฏๅพกๅชใใใจใใใใจใฏใชใ fact4: ใใไปฎใซใใฎใฟใญใฟใLv.62ใๆใก้ฃใใจใใใๆ ใใใชใใใพใใฏใใใฏ็ๆใๆใใใใใใฏใฉใกใใใงใใ | fact1: (ยฌ{IQ}{a} & ยฌ{DR}{a}) fact2: ยฌ{A}{iu} fact3: ยฌ{A}{a} fact4: {E}{a} -> (ยฌ{D}{a} v {C}{a}) | [] | [] | ใใฎใฝใกใ
ใฝใLv.76ใฏๅฐๆฐๅณ่ฏใใชใใฆ้ฃไบใใใจใใใใจใฏใชใ | (ยฌ{EO}{l} & ยฌ{B}{l}) | [] | 5 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใฎใฟใญใฟใLv.62ใฏ็บใพใๆใใชใใฆ็ญใ้ฃใใชใ fact2: ใใฎใพใซใใพใLv.96ใฏๅพกๅชใใใชใ fact3: ใใฎใฟใญใฟใLv.62ใฏๅพกๅชใใใจใใใใจใฏใชใ fact4: ใใไปฎใซใใฎใฟใญใฟใLv.62ใๆใก้ฃใใจใใใๆ ใใใชใใใพใใฏใใใฏ็ๆใๆใใใใใใฏใฉใกใใใงใใ ; $hypothesis$ = ใใฎใฟใญใฟใLv.62ใฏ้ฃไบใใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (ยฌ{IQ}{a} & ยฌ{DR}{a}) fact2: ยฌ{A}{iu} fact3: ยฌ{A}{a} fact4: {E}{a} -> (ยฌ{D}{a} v {C}{a}) ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใใญใใชLv.68ใฏ็ ใๆใใชใ | ยฌ{A}{a} | fact1: ใใใใชใใใใฎใขใณในใฟใผใฏ็ฝนใๆใใใใใ็ฅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใใใฏ็ฝนใๆใใชใ fact2: ใใใใฎใใซใใญLv.11ใ็ฝนใๆใใชใใใใฏ็ ใๆใ fact3: ใใใใฎใใญใใชLv.68ใ็ฝนใๆใใจใใใใใฎใใซใใญLv.11ใฏ็ฝนใๆใ fact4: ใใฎใใญใใชLv.68ใฏ็ ใๆใ fact5: ใใใชใซใใใใฎใขใณในใฟใผใฏใใฉใใชใใชใใฐใใใใฏ็ฝนใๆใใๅ ใใฆ็ฅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใ | fact1: (x): ยฌ({B}x & ยฌ{C}x) -> ยฌ{B}x fact2: {B}{fj} -> {A}{fj} fact3: {B}{a} -> {B}{fj} fact4: {A}{a} fact5: (x): ยฌ{D}x -> ยฌ({B}x & ยฌ{C}x) | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ใใฎใใญใใชLv.68ใฏ็ ใๆใใชใ | ยฌ{A}{a} | [
"fact7 -> int1: ไปฎใซใใใฎใใญใใชLv.68ใฏ็ฝนใๆใใใใใ็ฅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใใฎใใญใใชLv.68ใฏ็ฝนใๆใใชใใใจใใใใจใฏๆใ็ซใค; fact6 -> int2: ใใใใฎใฟใฎใฟใLv.44ใฏใใฉใใชใใจใใใจใใใฎใฟใฎใฟใLv.44ใฏ็ฝนใๆใใใใใ็ฅใ
ใใใชใใใจใใใใจใฏ็ๅฎใงใชใ;"
] | 6 | 1 | 1 | 0 | 0 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใชใใใใฎใขใณในใฟใผใฏ็ฝนใๆใใใใใ็ฅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใใใฏ็ฝนใๆใใชใ fact2: ใใใใฎใใซใใญLv.11ใ็ฝนใๆใใชใใใใฏ็ ใๆใ fact3: ใใใใฎใใญใใชLv.68ใ็ฝนใๆใใจใใใใใฎใใซใใญLv.11ใฏ็ฝนใๆใ fact4: ใใฎใใญใใชLv.68ใฏ็ ใๆใ fact5: ใใใชใซใใใใฎใขใณในใฟใผใฏใใฉใใชใใชใใฐใใใใฏ็ฝนใๆใใๅ ใใฆ็ฅใ
ใใใชใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใฎใใญใใชLv.68ใฏ็ ใๆใใชใ ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ({B}x & ยฌ{C}x) -> ยฌ{B}x fact2: {B}{fj} -> {A}{fj} fact3: {B}{a} -> {B}{fj} fact4: {A}{a} fact5: (x): ยฌ{D}x -> ยฌ({B}x & ยฌ{C}x) ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใขใณในใฟใผใฏ็ฅๅฅชใใ | (x): {A}x | fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๆใพใๆใ fact2: ใใใใใขใณในใฟใผใฏๆทฑใ fact3: ใใใใใขใณในใฟใผใฏ็ใใใ fact4: ใใในใฆใฎใขใณในใฟใผใฏ็ซถไบใใใใจใใใใจใฏๅใงใชใ | fact1: (x): {GS}x fact2: (x): {JD}x fact3: (x): {JE}x fact4: (x): {HC}x | [] | [] | null | null | [] | null | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๆใพใๆใ fact2: ใใใใใขใณในใฟใผใฏๆทฑใ fact3: ใใใใใขใณในใฟใผใฏ็ใใใ fact4: ใใในใฆใฎใขใณในใฟใผใฏ็ซถไบใใใใจใใใใจใฏๅใงใชใ ; $hypothesis$ = ใใใใใขใณในใฟใผใฏ็ฅๅฅชใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {GS}x fact2: (x): {JD}x fact3: (x): {JE}x fact4: (x): {HC}x ; $hypothesis$ = (x): {A}x ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใพใซใใพใLv.44ใฏๅนณในใฃใใใจใใใใจใฏใชใ | ยฌ{A}{a} | fact1: ใใใใขใณในใฟใผใฏใใๅใใชใใใใใใฏใใใใLv.48ไบไปถใงใใใใใใใฏไธกๆนใงใใใใจใใใใจใฏๆใ็ซใใชใ | fact1: fake_formula | [] | [] | null | null | [] | null | 1 | 1 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใใใขใณในใฟใผใฏใใๅใใชใใใใใใฏใใใใLv.48ไบไปถใงใใใใใใใฏไธกๆนใงใใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใฎใพใซใใพใLv.44ใฏๅนณในใฃใใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ๅ
จใฆใฎใขใณในใฟใผใฏๅฐใ | (x): {A}x | fact1: ๅ
จใฆใฎใขใณในใฟใผใฏไปๆ็กใ fact2: ่ๆใใชใใขใณในใฟใผใฏๅฐใใ้จใ
ใใ fact3: ใใใใใชใใใใฎใขใณในใฟใผใฏๅฐใใใจใใใใจใฏๆใ็ซใฆใฐๅๆฐใชใ fact4: ๅ
จใฆใฎใขใณในใฟใผใฏๅฐใ | fact1: (x): {EU}x fact2: (x): ยฌ{C}x -> ({A}x & {B}x) fact3: (x): {A}x -> {AU}x fact4: (x): {A}x | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ๅ
จใฆใฎใขใณในใฟใผใฏๅๆฐใชใ | (x): {AU}x | [
"fact6 -> int1: ใใใใใฎใใฎใใกใLv.74ใๅฐใใจใใใใใฎใใฎใใกใLv.74ใฏๅๆฐใชใ; fact5 -> int2: ใใฎใใฎใใกใLv.74ใ่ๆใใชใใจใใใจๅฐใใใใค้จใ
ใใ;"
] | 5 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ๅ
จใฆใฎใขใณในใฟใผใฏไปๆ็กใ fact2: ่ๆใใชใใขใณในใฟใผใฏๅฐใใ้จใ
ใใ fact3: ใใใใใชใใใใฎใขใณในใฟใผใฏๅฐใใใจใใใใจใฏๆใ็ซใฆใฐๅๆฐใชใ fact4: ๅ
จใฆใฎใขใณในใฟใผใฏๅฐใ ; $hypothesis$ = ๅ
จใฆใฎใขใณในใฟใผใฏๅฐใ ; $proof$ = | fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {EU}x fact2: (x): ยฌ{C}x -> ({A}x & {B}x) fact3: (x): {A}x -> {AU}x fact4: (x): {A}x ; $hypothesis$ = (x): {A}x ; $proof$ = | fact4 -> hypothesis; __PROVED__ |
0.3 | ใในใฆใฎใขใณในใฟใผใฏ่ฟไปใ้ฃใ | (x): {A}x | fact1: ๅ
จใฆใฎใขใณในใฟใผใฏ็ใ
ใใ fact2: ใในใฆใฎใขใณในใฟใผใฏ่ฟไปใ้ฃใ fact3: ้
ทใใชใใขใณในใฟใผใฏๅพใใฃใฝใใชใใใฉ่ฉฐใพใๆใ | fact1: (x): {BR}x fact2: (x): {A}x fact3: (x): ยฌ{D}x -> (ยฌ{B}x & {C}x) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใในใฆใฎใขใณในใฟใผใฏ็กใใใจใใใใจใฏ็ขบใใ | (x): {T}x | [
"fact4 -> int1: ใใใใฎใทใใทใซใ
Lv.23ใ้
ทใใชใใจใใใฐใใฎใทใใทใซใ
Lv.23ใฏๅพใใฃใฝใใชใใใใฉ่ฉฐใพใๆใ;"
] | 6 | 1 | 1 | 0 | 0 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ๅ
จใฆใฎใขใณในใฟใผใฏ็ใ
ใใ fact2: ใในใฆใฎใขใณในใฟใผใฏ่ฟไปใ้ฃใ fact3: ้
ทใใชใใขใณในใฟใผใฏๅพใใฃใฝใใชใใใฉ่ฉฐใพใๆใ ; $hypothesis$ = ใในใฆใฎใขใณในใฟใผใฏ่ฟไปใ้ฃใ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {BR}x fact2: (x): {A}x fact3: (x): ยฌ{D}x -> (ยฌ{B}x & {C}x) ; $hypothesis$ = (x): {A}x ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ใใฎใใกใใใLv.28ใฏๆๆใใ | {A}{a} | fact1: ใใฎใใกใใใLv.28ใฏๆๆใใ | fact1: {A}{a} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฎใใกใใใLv.28ใฏๆๆใใ ; $hypothesis$ = ใใฎใใกใใใLv.28ใฏๆๆใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใใพใLv.87ใฏๆฑใใใใใชใ | ยฌ{A}{a} | fact1: ใใฎใฝใฎใฝใซใ
Lv.13ใฏๆฑใใใใ fact2: ไปฎใซใจใใใขใณในใฟใผใๆใใใใชใใฐๆฑใใใใ fact3: ใใฎใพใใพใLv.87ใฏๆฑใใใใ fact4: ใใฎใใใใซใLv.19ใฏๆฑใใใใใชใใฐใใใฎใพใใพใLv.87ใฏๆฑใใใใใชใใใจใใใใจใฏๅใงใชใ fact5: ใใฎใฟใใฟใLv.52ใฏๆฑใใใใ fact6: ใใฎใพใใพใLv.87ใฏๆ่ฆๅบๆฅใ | fact1: {A}{db} fact2: (x): {B}x -> {A}x fact3: {A}{a} fact4: {A}{b} -> ยฌ{A}{a} fact5: {A}{cb} fact6: {FD}{a} | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใฎใพใใพใLv.87ใฏๆฑใใใใใชใ | ยฌ{A}{a} | [
"fact7 -> int1: ใใใฎใใใใซใLv.19ใฏๆใใใใใจใใใใจใฏไบๅฎใ ใจใใใใใฎใใใใซใLv.19ใฏๆฑใใใใ;"
] | 5 | 1 | 1 | 0 | 0 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใฝใฎใฝใซใ
Lv.13ใฏๆฑใใใใ fact2: ไปฎใซใจใใใขใณในใฟใผใๆใใใใชใใฐๆฑใใใใ fact3: ใใฎใพใใพใLv.87ใฏๆฑใใใใ fact4: ใใฎใใใใซใLv.19ใฏๆฑใใใใใชใใฐใใใฎใพใใพใLv.87ใฏๆฑใใใใใชใใใจใใใใจใฏๅใงใชใ fact5: ใใฎใฟใใฟใLv.52ใฏๆฑใใใใ fact6: ใใฎใพใใพใLv.87ใฏๆ่ฆๅบๆฅใ ; $hypothesis$ = ใใฎใพใใพใLv.87ใฏๆฑใใใใใชใ ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{db} fact2: (x): {B}x -> {A}x fact3: {A}{a} fact4: {A}{b} -> ยฌ{A}{a} fact5: {A}{cb} fact6: {FD}{a} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใใทใซใ
Lv.57ใฏ็พใใๆใใใใใ็ฎใพใใใใ | ({A}{a} & {B}{a}) | fact1: ใใใใชใใใใฎใขใณในใฟใผใฏ่ไปใใใชใใๆฒนใฃใฝใใใจใใใใจใฏๅฝใ ใจใใใจใๆฒนใฃใฝใใชใใใจใใใใจใฏๆใ็ซใค fact2: ใใใใใใฎใทใใทใซใ
Lv.57ใฏๆฒนใฃใฝใใชใใใจใใใใจใฏๆใ็ซใคใจใใใฐใใฎใใใใLv.68ใฏ็พใใๆใใ็ฎใพใใใใ fact3: ใใฎใทใใทใซใ
Lv.57ใฏ็ฎใพใใใใ fact4: ใใฎใทใใทใซใ
Lv.57ใฏ็พใใๆใ fact5: ใใใใใจใใใขใณในใฟใผใฏ่ไปใใใใใใคใใใฏ็ก้ง้ฃใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐๆฒนใฃใฝใใชใ | fact1: (x): ยฌ(ยฌ{D}x & {C}x) -> ยฌ{C}x fact2: ยฌ{C}{a} -> ({A}{ej} & {B}{ej}) fact3: {B}{a} fact4: {A}{a} fact5: (x): ยฌ({D}x & {E}x) -> ยฌ{C}x | [
"fact4 & fact3 -> hypothesis;"
] | [
"fact4 & fact3 -> hypothesis;"
] | ใใฎใใใใLv.68ใฏ็ฎใพใใใใ | {B}{ej} | [
"fact7 -> int1: ใใใฎใทใใทใซใ
Lv.57ใฏ่ไปใใใใๅ ใใฆ็ก้ง้ฃใใใใใจใใใใจใฏ้้ใฃใฆใใใชใใใฎใทใใทใซใ
Lv.57ใฏๆฒนใฃใฝใใชใ;"
] | 6 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใใชใใใใฎใขใณในใฟใผใฏ่ไปใใใชใใๆฒนใฃใฝใใใจใใใใจใฏๅฝใ ใจใใใจใๆฒนใฃใฝใใชใใใจใใใใจใฏๆใ็ซใค fact2: ใใใใใใฎใทใใทใซใ
Lv.57ใฏๆฒนใฃใฝใใชใใใจใใใใจใฏๆใ็ซใคใจใใใฐใใฎใใใใLv.68ใฏ็พใใๆใใ็ฎใพใใใใ fact3: ใใฎใทใใทใซใ
Lv.57ใฏ็ฎใพใใใใ fact4: ใใฎใทใใทใซใ
Lv.57ใฏ็พใใๆใ fact5: ใใใใใจใใใขใณในใฟใผใฏ่ไปใใใใใใคใใใฏ็ก้ง้ฃใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐๆฒนใฃใฝใใชใ ; $hypothesis$ = ใใฎใทใใทใซใ
Lv.57ใฏ็พใใๆใใใใใ็ฎใพใใใใ ; $proof$ = | fact4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ยฌ(ยฌ{D}x & {C}x) -> ยฌ{C}x fact2: ยฌ{C}{a} -> ({A}{ej} & {B}{ej}) fact3: {B}{a} fact4: {A}{a} fact5: (x): ยฌ({D}x & {E}x) -> ยฌ{C}x ; $hypothesis$ = ({A}{a} & {B}{a}) ; $proof$ = | fact4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใใๆ่ฆใใ | ({A}{a} & {B}{a}) | fact1: ใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใ fact2: ใใไปฎใซใใใใขใณในใฟใผใฏ่ฆไปใๆใใ้ ใใใใใใฏใฉใกใใใงใใใใจใใใใจใฏๅใงใใใจใใใ่จใๅบใ้ฃใใจใใใใจใฏใชใ fact3: ใใฎใใซใใใซใ
Lv.15ใฏๆ่ฆใใ fact4: ใใไปฎใซใใใฎใทใซใใทใชLv.95ใฏ่จใๅบใ้ฃใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใชใใใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใใๆ่ฆใใใใจใใใใจใฏๅใ fact5: ใใไปฎใซใใใฎใฟใฎใฟใฎLv.30ใฏ็
ฉใใใใชใใใพใใฏ้ ใใจใใใใจใฏใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๅใชใใใฎใฝใซใใฝใLv.3ใฏ้ ใใชใ | fact1: {A}{a} fact2: (x): ยฌ({D}x v {E}x) -> ยฌ{C}x fact3: {B}{a} fact4: ยฌ{C}{b} -> ยฌ({A}{a} & {B}{a}) fact5: ยฌ(ยฌ{G}{d} v ยฌ{E}{d}) -> ยฌ{E}{c} | [
"fact1 & fact3 -> hypothesis;"
] | [
"fact1 & fact3 -> hypothesis;"
] | ใใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใใๅ ใใฆใใใฏๆ่ฆใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A}{a} & {B}{a}) | [
"fact6 -> int1: ไปฎใซใใใฎใทใซใใทใชLv.95ใฏ่ฆไปใๆใใใใใใฏ้ ใใใพใใฏไธกๆนใจใใ ใใจใใใใจใฏๆใ็ซใใชใใจใใใใใใฏ่จใๅบใ้ฃใใชใ;"
] | 7 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใ fact2: ใใไปฎใซใใใใขใณในใฟใผใฏ่ฆไปใๆใใ้ ใใใใใใฏใฉใกใใใงใใใใจใใใใจใฏๅใงใใใจใใใ่จใๅบใ้ฃใใจใใใใจใฏใชใ fact3: ใใฎใใซใใใซใ
Lv.15ใฏๆ่ฆใใ fact4: ใใไปฎใซใใใฎใทใซใใทใชLv.95ใฏ่จใๅบใ้ฃใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใชใใใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใใๆ่ฆใใใใจใใใใจใฏๅใ fact5: ใใไปฎใซใใใฎใฟใฎใฟใฎLv.30ใฏ็
ฉใใใใชใใใพใใฏ้ ใใจใใใใจใฏใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๅใชใใใฎใฝใซใใฝใLv.3ใฏ้ ใใชใ ; $hypothesis$ = ใใฎใใซใใใซใ
Lv.15ใฏ่ช่ฒปๅบ็ใใใๆ่ฆใใ ; $proof$ = | fact1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ยฌ({D}x v {E}x) -> ยฌ{C}x fact3: {B}{a} fact4: ยฌ{C}{b} -> ยฌ({A}{a} & {B}{a}) fact5: ยฌ(ยฌ{G}{d} v ยฌ{E}{d}) -> ยฌ{E}{c} ; $hypothesis$ = ({A}{a} & {B}{a}) ; $proof$ = | fact1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใฎใฟใใฟใLv.33ใฏ็ใฟ้ฃใ | {A}{a} | fact1: ใใฎใฟใใฟใLv.33ใฏ็ใฟ้ฃใ fact2: ใใฎใดใซใดใLv.79ใฏ็ใฟ้ฃใ | fact1: {A}{a} fact2: {A}{gs} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฎใฟใใฟใLv.33ใฏ็ใฟ้ฃใ fact2: ใใฎใดใซใดใLv.79ใฏ็ใฟ้ฃใ ; $hypothesis$ = ใใฎใฟใใฟใLv.33ใฏ็ใฟ้ฃใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{gs} ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใดใใดใLv.13ใฏๆใใใ | {A}{a} | fact1: ไปฎใซใใใใใฎใฟใชใฟใญLv.79ใฏ่ช็ถใใใใชใใใพใใฏไฝใๆใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใใฎใดใใดใLv.13ใฏไฝใๆใ fact2: ใจใใใขใณในใฟใผใฏ้ขใใๅใใชใใชใใ่ช็ถใใใใชใใใใใใฏไฝใๆใใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ fact3: ไปฎใซใใฎใพใใพใซใLv.40ใ้ขใใๅใใใใใใฏใใใฏๅฐ่ณขใใใชใใใใใใฏไธกๆนใงใใใชใใใใฎใฟใชใฟใญLv.79ใฏ้ขใใๅใใชใใใจใใใใจใฏ็ขบใใ fact4: ใใไปฎใซใใฎใฝใใฝใซใLv.30ใ้ค้ฌผใฃใฝใใชใใชใใฐใใฎใพใใพใซใLv.40ใฏ้ขใใๅใใใพใใฏใใใฏๅฐ่ณขใใใชใใใใใใฏไธกๆนใ fact5: ไฝใๆใใขใณในใฟใผใฏๆใใใใชใ | fact1: ยฌ(ยฌ{D}{b} v ยฌ{B}{b}) -> {B}{a} fact2: (x): ยฌ{C}x -> ยฌ(ยฌ{D}x v ยฌ{B}x) fact3: ({C}{c} v ยฌ{F}{c}) -> ยฌ{C}{b} fact4: ยฌ{E}{d} -> ({C}{c} v ยฌ{F}{c}) fact5: (x): {B}x -> ยฌ{A}x | [] | [] | ใใฎใดใใดใLv.13ใฏๆใใใใจใใใใจใฏใชใ | ยฌ{A}{a} | [
"fact7 -> int1: ใใใใใฎใดใใดใLv.13ใไฝใๆใใจใใใใใใฏๆใใใใชใ; fact6 -> int2: ใใไปฎใซใใฎใฟใชใฟใญLv.79ใฏ้ขใใๅใใชใใชใใฐใใใฎใฟใชใฟใญLv.79ใฏ่ช็ถใใใใชใใใใใใฏใใใฏไฝใๆใใชใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ;"
] | 8 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ไปฎใซใใใใใฎใฟใชใฟใญLv.79ใฏ่ช็ถใใใใชใใใพใใฏไฝใๆใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใใฎใดใใดใLv.13ใฏไฝใๆใ fact2: ใจใใใขใณในใฟใผใฏ้ขใใๅใใชใใชใใ่ช็ถใใใใชใใใใใใฏไฝใๆใใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ fact3: ไปฎใซใใฎใพใใพใซใLv.40ใ้ขใใๅใใใใใใฏใใใฏๅฐ่ณขใใใชใใใใใใฏไธกๆนใงใใใชใใใใฎใฟใชใฟใญLv.79ใฏ้ขใใๅใใชใใใจใใใใจใฏ็ขบใใ fact4: ใใไปฎใซใใฎใฝใใฝใซใLv.30ใ้ค้ฌผใฃใฝใใชใใชใใฐใใฎใพใใพใซใLv.40ใฏ้ขใใๅใใใพใใฏใใใฏๅฐ่ณขใใใชใใใใใใฏไธกๆนใ fact5: ไฝใๆใใขใณในใฟใผใฏๆใใใใชใ ; $hypothesis$ = ใใฎใดใใดใLv.13ใฏๆใใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ(ยฌ{D}{b} v ยฌ{B}{b}) -> {B}{a} fact2: (x): ยฌ{C}x -> ยฌ(ยฌ{D}x v ยฌ{B}x) fact3: ({C}{c} v ยฌ{F}{c}) -> ยฌ{C}{b} fact4: ยฌ{E}{d} -> ({C}{c} v ยฌ{F}{c}) fact5: (x): {B}x -> ยฌ{A}x ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใฝใซใ
ใฝใLv.29ใฏ่ฑไผใใ | {B}{a} | fact1: ใใไปฎใซใใฎใฝใซใ
ใฝใLv.29ใๅพก็คผใใใจใใใใใใฏ่ฑไผใใ fact2: ใใฎใฝใซใ
ใฝใLv.29ใฏๅพก็คผใใ fact3: ใใฎใฝใซใ
ใฝใLv.29ใฏใใใ่ฏใ fact4: ใใฎใฟใชใฟใLv.58ใฏๅพก็คผใใ | fact1: {A}{a} -> {B}{a} fact2: {A}{a} fact3: {IK}{a} fact4: {A}{dt} | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ใใไปฎใซใใฎใฝใซใ
ใฝใLv.29ใๅพก็คผใใใจใใใใใใฏ่ฑไผใใ fact2: ใใฎใฝใซใ
ใฝใLv.29ใฏๅพก็คผใใ fact3: ใใฎใฝใซใ
ใฝใLv.29ใฏใใใ่ฏใ fact4: ใใฎใฟใชใฟใLv.58ใฏๅพก็คผใใ ; $hypothesis$ = ใใฎใฝใซใ
ใฝใLv.29ใฏ่ฑไผใใ ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {A}{a} fact3: {IK}{a} fact4: {A}{dt} ; $hypothesis$ = {B}{a} ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ๅชใณ่ซใใใจใ็ใใ | {A} | fact1: ๅชใณ่ซใใใจใ็ใใ fact2: ใไฝฟ็จใๆใใจใใใใจใฏ็บ็ใใใใใคใฟใฎใฟใซใLv.42ไบไปถใฏ็บ็ใใใใจใใใใจใฏใใฟใกใ
ใฟใกใLv.92ไบไปถใฏ่ตทใใใชใใใจใใใใจใซ่ช็บใใใ fact3: ใใฟใใฟใซใLv.75ไบไปถใ็บ็ใใใใจใใใใจใฏ็ขบใใงใใใจใใใใพใชใพใLv.33ไบไปถใ็ใใใๅชใณ่ซใใใจใฏ็ใใชใ fact4: ใใพใชใพใLv.33ไบไปถใฏ่ตทใใใชใใใจใใใใจใฏใดใใดใกใLv.87ไบไปถใจๅชใณ่ซใใใจใ่ตทใใใๆใ fact5: ใใใใใฟใฎใฟใซใLv.42ไบไปถใ็บ็ใใใจใใใใขใใซๅใใใใจใ็บ็ใใชใไธๆนใงไธ็ฅ่พใใจใใใใจใฏ็บ็ใใใใจใใใใจใฏไบๅฎใงใใ fact6: ใขใใซๅใใใใจใฏ่ตทใใชใใจใใใใจใฏใใฟใใฟใซใLv.75ไบไปถใจ็นฐใๅบใใใจใฉใกใใใ่ตทใใใใจใใใใจใซๅธฐ็ตใใ | fact1: {A} fact2: ยฌ{I} -> ({H} & {G}) fact3: {C} -> ({B} & ยฌ{A}) fact4: ยฌ{B} -> ({BT} & {A}) fact5: {G} -> (ยฌ{E} & {F}) fact6: ยฌ{E} -> ({C} & {D}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใดใใดใกใLv.87ไบไปถใ็บ็ใใ | {BT} | [] | 6 | 1 | 1 | 0 | 0 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ๅชใณ่ซใใใจใ็ใใ fact2: ใไฝฟ็จใๆใใจใใใใจใฏ็บ็ใใใใใคใฟใฎใฟใซใLv.42ไบไปถใฏ็บ็ใใใใจใใใใจใฏใใฟใกใ
ใฟใกใLv.92ไบไปถใฏ่ตทใใใชใใใจใใใใจใซ่ช็บใใใ fact3: ใใฟใใฟใซใLv.75ไบไปถใ็บ็ใใใใจใใใใจใฏ็ขบใใงใใใจใใใใพใชใพใLv.33ไบไปถใ็ใใใๅชใณ่ซใใใจใฏ็ใใชใ fact4: ใใพใชใพใLv.33ไบไปถใฏ่ตทใใใชใใใจใใใใจใฏใดใใดใกใLv.87ไบไปถใจๅชใณ่ซใใใจใ่ตทใใใๆใ fact5: ใใใใใฟใฎใฟใซใLv.42ไบไปถใ็บ็ใใใจใใใใขใใซๅใใใใจใ็บ็ใใชใไธๆนใงไธ็ฅ่พใใจใใใใจใฏ็บ็ใใใใจใใใใจใฏไบๅฎใงใใ fact6: ใขใใซๅใใใใจใฏ่ตทใใชใใจใใใใจใฏใใฟใใฟใซใLv.75ไบไปถใจ็นฐใๅบใใใจใฉใกใใใ่ตทใใใใจใใใใจใซๅธฐ็ตใใ ; $hypothesis$ = ๅชใณ่ซใใใจใ็ใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ยฌ{I} -> ({H} & {G}) fact3: {C} -> ({B} & ยฌ{A}) fact4: ยฌ{B} -> ({BT} & {A}) fact5: {G} -> (ยฌ{E} & {F}) fact6: ยฌ{E} -> ({C} & {D}) ; $hypothesis$ = {A} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใใพใซใLv.82ใฏไฝไธใ็ถใใชใ | ยฌ{B}{b} | fact1: ใใไปฎใซใใฎใฟใกใใฟใLv.0ใใกใฃใกใใใจใใใจใใฎใพใใพใซใLv.82ใฏไฝไธใ็ถใใ fact2: ใใฎใฟใกใใฟใLv.0ใฏใกใฃใกใใ | fact1: {A}{a} -> {B}{b} fact2: {A}{a} | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใไปฎใซใใฎใฟใกใใฟใLv.0ใใกใฃใกใใใจใใใจใใฎใพใใพใซใLv.82ใฏไฝไธใ็ถใใ fact2: ใใฎใฟใกใใฟใLv.0ใฏใกใฃใกใใ ; $hypothesis$ = ใใฎใพใใพใซใLv.82ใฏไฝไธใ็ถใใชใ ; $proof$ = | fact1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {A}{a} ; $hypothesis$ = ยฌ{B}{b} ; $proof$ = | fact1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใใฎใใกใLv.93ใฏๆญฃใใ | {A}{a} | fact1: ใๆญฃใใใใขใณในใฟใผใฏใใ fact2: ใใฎใดใซใ
ใดใLv.56ใฏ็ใๆทฑใ fact3: ใใฎใใฎใใกใLv.93ใฏๆญฃใใใ็ใๆทฑใ | fact1: (Ex): {A}x fact2: {B}{ds} fact3: ({A}{a} & {B}{a}) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใฎใดใใดใกใLv.52ใฏ้ๅฑคใใใใพใ็ใๆทฑใ | ({EC}{en} & {B}{en}) | [] | 4 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใๆญฃใใใใขใณในใฟใผใฏใใ fact2: ใใฎใดใซใ
ใดใLv.56ใฏ็ใๆทฑใ fact3: ใใฎใใฎใใกใLv.93ใฏๆญฃใใใ็ใๆทฑใ ; $hypothesis$ = ใใฎใใฎใใกใLv.93ใฏๆญฃใใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): {A}x fact2: {B}{ds} fact3: ({A}{a} & {B}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใทใกใใทใLv.37ไบไปถใฏ็ใใชใ | ยฌ{A} | fact1: ใทใกใใทใLv.37ไบไปถใ่ตทใใ fact2: ใทใชใทใซLv.60ไบไปถใ่ตทใใ fact3: ใใใใใๅ
่ฆใใใจใใใใจใงใฏใชใใฆใทใกใใทใLv.37ไบไปถใ่ตทใใใใจใใใใจใฏๆญฃใใใจใใใใจใฏใชใใใจใใใใจใฏ็ขบใใชใใ่ฟใใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใค fact4: ่ฆๆใใจใใใใจใ็ใใ | fact1: {A} fact2: {EU} fact3: ยฌ(ยฌ{B} & {A}) -> {GG} fact4: {EO} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ่ฟใใใจใใใใจใ็บ็ใใ | {GG} | [] | 6 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใทใกใใทใLv.37ไบไปถใ่ตทใใ fact2: ใทใชใทใซLv.60ไบไปถใ่ตทใใ fact3: ใใใใใๅ
่ฆใใใจใใใใจใงใฏใชใใฆใทใกใใทใLv.37ไบไปถใ่ตทใใใใจใใใใจใฏๆญฃใใใจใใใใจใฏใชใใใจใใใใจใฏ็ขบใใชใใ่ฟใใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใค fact4: ่ฆๆใใจใใใใจใ็ใใ ; $hypothesis$ = ใทใกใใทใLv.37ไบไปถใฏ็ใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {EU} fact3: ยฌ(ยฌ{B} & {A}) -> {GG} fact4: {EO} ; $hypothesis$ = ยฌ{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใใทใLv.94ใฏๅใใใใใใฉ่ญใใชใ | ({AA}{b} & ยฌ{AB}{b}) | fact1: ใใฎใทใชใทใLv.93ใฏ่ปฝใ fact2: ใใใใใฎใทใชใทใLv.93ใฏ่ปฝใใชใใใใใฎใทใใทใLv.94ใฏๅใใใใฉใใใฏใใใฉ่ญใใชใใใจใใใใจใฏ็ๅฎใ ใใจใใใใจใฏ่ชคใใงใใใใจใใใใจใฏๆใ็ซใค fact3: ใชใซใใใใฎใขใณในใฟใผใ่ปฝใใชใใใใฏใใใฉ่ญใ fact4: ไฝใฟ้ฃใใขใณในใฟใผใไพใใชใใชใใใใฏ่ปฝใ fact5: ไฝใใใฎใขใณในใฟใผใ่ปฝใใชใใจใใใจๅใใใใฉใใใฉ่ญใใชใ fact6: ใใใใใขใณในใฟใผใฏไฝใฟ้ฃใ | fact1: {A}{a} fact2: {A}{a} -> ยฌ({AA}{b} & ยฌ{AB}{b}) fact3: (x): {A}x -> {AB}x fact4: (x): ({B}x & ยฌ{C}x) -> {A}x fact5: (x): ยฌ{A}x -> ({AA}x & ยฌ{AB}x) fact6: (x): {B}x | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | ใใฎใทใใทใLv.94ใฏๅใใใใใใฉ่ญใใชใ | ({AA}{b} & ยฌ{AB}{b}) | [
"fact8 -> int1: ใใใใฎใทใชใทใLv.93ใ่ปฝใใชใใชใใฐใใใฏๅใใใใใฉใใใฉ่ญใใจใใใใจใฏใชใ; fact7 -> int2: ใใใฎใทใชใทใLv.93ใฏไฝใฟ้ฃใใใจใใใใจใฏ็ขบใใงใใ;"
] | 6 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใทใชใทใLv.93ใฏ่ปฝใ fact2: ใใใใใฎใทใชใทใLv.93ใฏ่ปฝใใชใใใใใฎใทใใทใLv.94ใฏๅใใใใฉใใใฏใใใฉ่ญใใชใใใจใใใใจใฏ็ๅฎใ ใใจใใใใจใฏ่ชคใใงใใใใจใใใใจใฏๆใ็ซใค fact3: ใชใซใใใใฎใขใณในใฟใผใ่ปฝใใชใใใใฏใใใฉ่ญใ fact4: ไฝใฟ้ฃใใขใณในใฟใผใไพใใชใใชใใใใฏ่ปฝใ fact5: ไฝใใใฎใขใณในใฟใผใ่ปฝใใชใใจใใใจๅใใใใฉใใใฉ่ญใใชใ fact6: ใใใใใขใณในใฟใผใฏไฝใฟ้ฃใ ; $hypothesis$ = ใใฎใทใใทใLv.94ใฏๅใใใใใใฉ่ญใใชใ ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> ยฌ({AA}{b} & ยฌ{AB}{b}) fact3: (x): {A}x -> {AB}x fact4: (x): ({B}x & ยฌ{C}x) -> {A}x fact5: (x): ยฌ{A}x -> ({AA}x & ยฌ{AB}x) fact6: (x): {B}x ; $hypothesis$ = ({AA}{b} & ยฌ{AB}{b}) ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใชใใฌใใทใฅๅบๆฅใใใขใณในใฟใผใฏใใ | (Ex): {A}x | fact1: ใใใใฎใฝใใฝใฎLv.95ใๆบใ่พผใฟๆใใจใใใฐใใฎใดใกใ
ใดใกใLv.45ใฏใชใใฌใใทใฅๅบๆฅใ fact2: ใใไปฎใซใจใใใขใณในใฟใผใใชใใฌใใทใฅๅบๆฅใใชใใใใฏๆๆ
ๆทฑใ fact3: ใใชใใฌใใทใฅๅบๆฅใใใขใณในใฟใผใฏใใ | fact1: {B}{b} -> {A}{a} fact2: (x): {A}x -> {IM}x fact3: (Ex): {A}x | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใๆๆ
ๆทฑใใใขใณในใฟใผใฏใใใใจใใใใจใฏ็ขบใใงใใ | (Ex): {IM}x | [
"fact4 -> int1: ใใใใใฎใดใกใ
ใดใกใLv.45ใใชใใฌใใทใฅๅบๆฅใใจใใใใใฎใดใกใ
ใดใกใLv.45ใฏๆๆ
ๆทฑใ;"
] | 6 | 1 | 1 | 0 | 0 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใใฎใฝใใฝใฎLv.95ใๆบใ่พผใฟๆใใจใใใฐใใฎใดใกใ
ใดใกใLv.45ใฏใชใใฌใใทใฅๅบๆฅใ fact2: ใใไปฎใซใจใใใขใณในใฟใผใใชใใฌใใทใฅๅบๆฅใใชใใใใฏๆๆ
ๆทฑใ fact3: ใใชใใฌใใทใฅๅบๆฅใใใขใณในใฟใผใฏใใ ; $hypothesis$ = ใใชใใฌใใทใฅๅบๆฅใใใขใณในใฟใผใฏใใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{b} -> {A}{a} fact2: (x): {A}x -> {IM}x fact3: (Ex): {A}x ; $hypothesis$ = (Ex): {A}x ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใใฎใฝใใฝใกใLv.99ใฏๅฝฑ้ฟใใๆใ | {A}{a} | fact1: ๅฅณๆงใใใใขใณในใฟใผใ็ ใๆใใจใใใจใใใฏๅฝฑ้ฟใใๆใใชใ fact2: ๅฒใๆใใชใใขใณในใฟใผใฏๅฅณๆงใใใใ็ ใๆใ | fact1: (x): ({B}x & {C}x) -> ยฌ{A}x fact2: (x): ยฌ{D}x -> ({B}x & {C}x) | [] | [] | ใใฎใฝใใฝใกใLv.99ใฏๅฝฑ้ฟใใๆใใจใใใใจใฏใชใ | ยฌ{A}{a} | [
"fact4 -> int1: ใใใใฎใฝใใฝใกใLv.99ใๅฅณๆงใใใใ็ ใๆใใจใใใจใใฎใฝใใฝใกใLv.99ใฏๅฝฑ้ฟใใๆใใชใ; fact3 -> int2: ไปฎใซใใฎใฝใใฝใกใLv.99ใๅฒใๆใใจใใใใจใฏใชใใจใใใจๅฅณๆงใใใใใใค็ ใๆใ;"
] | 7 | 1 | 1 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๅฅณๆงใใใใขใณในใฟใผใ็ ใๆใใจใใใจใใใฏๅฝฑ้ฟใใๆใใชใ fact2: ๅฒใๆใใชใใขใณในใฟใผใฏๅฅณๆงใใใใ็ ใๆใ ; $hypothesis$ = ใใฎใฝใใฝใกใLv.99ใฏๅฝฑ้ฟใใๆใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({B}x & {C}x) -> ยฌ{A}x fact2: (x): ยฌ{D}x -> ({B}x & {C}x) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใพใกใ
ใพใซใLv.99ใฏๅใ้ฃใ | {B}{a} | fact1: ใใใใใจใใใขใณในใฟใผใฏไผบใใใใใใซใใใใใจใใใใจใฏ้้ใใชใไผบใใชใ fact2: ใใใขใณในใฟใผใฏไผบใใชใใจใใใจใๅทไปใๆใใฆๅ ใใฆๅคๅใๆใใใจใใใใจใฏ็ขบใใ fact3: ไปฎใซใใใฎใฝใซใฝใซใ
Lv.49ใฏๅใ้ฃใใจใใใใจใฏใชใใใใคใขใใญใผใใๆใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใใฎใพใกใ
ใพใซใLv.99ใฏๅใ้ฃใใชใ fact4: ใใใจใใใขใณในใฟใผใฏ้่ณใๆใใชใใจใใใฐใใใใฏๅใ้ฃใใชใใฆใขใใญใผใใๆใใชใใใจใใใใจใฏๆใ็ซใใชใ fact5: ใใฎใพใกใ
ใพใซใLv.99ใฏใขใใญใผใใๆใ fact6: ใใใจใใใขใณในใฟใผใฏๅทไปใๆใใจใใใจใ้่ณใๆใใชใใใจใใใใจใฏๆใ็ซใค | fact1: (x): ยฌ({F}x & {G}x) -> ยฌ{F}x fact2: (x): ยฌ{F}x -> ({D}x & {E}x) fact3: ยฌ(ยฌ{B}{b} & ยฌ{A}{b}) -> ยฌ{B}{a} fact4: (x): ยฌ{C}x -> ยฌ(ยฌ{B}x & ยฌ{A}x) fact5: {A}{a} fact6: (x): {D}x -> ยฌ{C}x | [] | [] | ใใฎใพใกใ
ใพใซใLv.99ใฏๅใ้ฃใใชใ | ยฌ{B}{a} | [
"fact7 -> int1: ใใใใใฎใฝใซใฝใซใ
Lv.49ใฏ้่ณใๆใใชใใชใใใใฎใฝใซใฝใซใ
Lv.49ใฏๅใ้ฃใใจใใใใจใฏใชใใฆใใใใขใใญใผใใๆใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใใจใใใใจใฏๆฌๅฝใงใใ; fact11 -> int2: ไปฎใซใใฎใฝใซใฝใซใ
Lv.49ใฏๅทไปใๆใใชใใฐใ้่ณใๆใใชใใใจใใใใจใฏไบๅฎใ ; fact10 -> int3: ไปฎใซใใใฎใฝใซใฝใซใ
Lv.49ใฏไผบใใชใใใจใใใใจใฏ้้ใใงใชใใจใใใจใใฎใฝใซใฝใซใ
Lv.49ใฏๅทไปใๆใใใใใใใใฏๅคๅใๆใ; fact8 -> int4: ใใใใใใฎใฝใซใฝใซใ
Lv.49ใฏไผบใใใใใใฏใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐใใฎใฝใซใฝใซใ
Lv.49ใฏไผบใใชใ;"
] | 7 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใจใใใขใณในใฟใผใฏไผบใใใใใใซใใใใใจใใใใจใฏ้้ใใชใไผบใใชใ fact2: ใใใขใณในใฟใผใฏไผบใใชใใจใใใจใๅทไปใๆใใฆๅ ใใฆๅคๅใๆใใใจใใใใจใฏ็ขบใใ fact3: ไปฎใซใใใฎใฝใซใฝใซใ
Lv.49ใฏๅใ้ฃใใจใใใใจใฏใชใใใใคใขใใญใผใใๆใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใใฎใพใกใ
ใพใซใLv.99ใฏๅใ้ฃใใชใ fact4: ใใใจใใใขใณในใฟใผใฏ้่ณใๆใใชใใจใใใฐใใใใฏๅใ้ฃใใชใใฆใขใใญใผใใๆใใชใใใจใใใใจใฏๆใ็ซใใชใ fact5: ใใฎใพใกใ
ใพใซใLv.99ใฏใขใใญใผใใๆใ fact6: ใใใจใใใขใณในใฟใผใฏๅทไปใๆใใจใใใจใ้่ณใๆใใชใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฎใพใกใ
ใพใซใLv.99ใฏๅใ้ฃใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ยฌ({F}x & {G}x) -> ยฌ{F}x fact2: (x): ยฌ{F}x -> ({D}x & {E}x) fact3: ยฌ(ยฌ{B}{b} & ยฌ{A}{b}) -> ยฌ{B}{a} fact4: (x): ยฌ{C}x -> ยฌ(ยฌ{B}x & ยฌ{A}x) fact5: {A}{a} fact6: (x): {D}x -> ยฌ{C}x ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใในใฆใฎใขใณในใฟใผใฏๆตฎใๆใ | (x): {A}x | fact1: ใใไปฎใซใไฝใใใฎใขใณในใฟใผใฏ่น่ธใใ็พใใใใจใใใใจใฏ้้ใใงใใใจใใใฐใใใฏๅพ้ฃใใชใ fact2: ใใใใใขใณในใฟใผใฏ็พๅงใใใ fact3: ใในใฆใฎใขใณในใฟใผใฏๆตฎใๆใ fact4: ใในใฆใฎใขใณในใฟใผใฏ่ฏใ | fact1: (x): ยฌ({D}x & {E}x) -> ยฌ{C}x fact2: (x): {BR}x fact3: (x): {A}x fact4: (x): {HG}x | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใใใใขใณในใฟใผใฏ้่ฆงใใ | (x): {B}x | [
"fact5 -> int1: ใใใใใใฎใดใฎใดใLv.48ใฏ่น่ธใใใใใซ็พใใใใจใใใใจใฏ่ชคใฃใฆใใใจใใใจใใฎใดใฎใดใLv.48ใฏๅพ้ฃใใชใ;"
] | 7 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใไปฎใซใไฝใใใฎใขใณในใฟใผใฏ่น่ธใใ็พใใใใจใใใใจใฏ้้ใใงใใใจใใใฐใใใฏๅพ้ฃใใชใ fact2: ใใใใใขใณในใฟใผใฏ็พๅงใใใ fact3: ใในใฆใฎใขใณในใฟใผใฏๆตฎใๆใ fact4: ใในใฆใฎใขใณในใฟใผใฏ่ฏใ ; $hypothesis$ = ใในใฆใฎใขใณในใฟใผใฏๆตฎใๆใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ยฌ({D}x & {E}x) -> ยฌ{C}x fact2: (x): {BR}x fact3: (x): {A}x fact4: (x): {HG}x ; $hypothesis$ = (x): {A}x ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใใพใLv.26ใฏ็ฉๆใ | {A}{a} | fact1: ใใใใใใใขใณในใฟใผใฏๅคใใฆใพใ็ฉๆใใใจใใใใจใฏ่ชคใฃใฆใใใจใใใฐใ็ฉๆใใชใใใจใใใใจใฏ็ขบใใงใใ fact2: ใใใฎใฝใกใใฝใกใLv.12ใฏ็ฉๆใใใจใใใใจใฏไบๅฎใ fact3: ใใฎใพใใพใLv.26ใฏๅนฒๆธใใ | fact1: (x): ยฌ({B}x & {A}x) -> ยฌ{A}x fact2: {A}{hl} fact3: {JJ}{a} | [] | [] | ใใฎใพใใพใLv.26ใฏ็ฉๆใใชใ | ยฌ{A}{a} | [
"fact4 -> int1: ใใใใใใฎใพใใพใLv.26ใฏๅคใใขใณในใฟใผใงใใใใฎไธ็ฉๆใใใจใใใใจใฏ่ชคใใงใใใชใใใฎใพใใพใLv.26ใฏ็ฉๆใใชใ;"
] | 4 | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใใใขใณในใฟใผใฏๅคใใฆใพใ็ฉๆใใใจใใใใจใฏ่ชคใฃใฆใใใจใใใฐใ็ฉๆใใชใใใจใใใใจใฏ็ขบใใงใใ fact2: ใใใฎใฝใกใใฝใกใLv.12ใฏ็ฉๆใใใจใใใใจใฏไบๅฎใ fact3: ใใฎใพใใพใLv.26ใฏๅนฒๆธใใ ; $hypothesis$ = ใใฎใพใใพใLv.26ใฏ็ฉๆใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ยฌ({B}x & {A}x) -> ยฌ{A}x fact2: {A}{hl} fact3: {JJ}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ๆฑใๆใใจใใใใจใ่ตทใใ | {A} | fact1: ใใฝใกใ
ใฝใLv.34ไบไปถใ็ใใใใจใใใใจใฏไบๅฎใ fact2: ้ฆฌ้นฟใใใใจใใใใจใ็บ็ใใ fact3: ๆฑใๆใใจใใใใจใ่ตทใใ fact4: ใฝใซใใฝใฎLv.79ไบไปถใ่ตทใใ fact5: ็ซใฆ้ฃใใจใใใใจใ็ใใ | fact1: {AA} fact2: {EE} fact3: {A} fact4: {IS} fact5: {AT} | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฝใกใ
ใฝใLv.34ไบไปถใ็ใใใใจใใใใจใฏไบๅฎใ fact2: ้ฆฌ้นฟใใใใจใใใใจใ็บ็ใใ fact3: ๆฑใๆใใจใใใใจใ่ตทใใ fact4: ใฝใซใใฝใฎLv.79ไบไปถใ่ตทใใ fact5: ็ซใฆ้ฃใใจใใใใจใ็ใใ ; $hypothesis$ = ๆฑใๆใใจใใใใจใ่ตทใใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {AA} fact2: {EE} fact3: {A} fact4: {IS} fact5: {AT} ; $hypothesis$ = {A} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใใในใฆใฎใขใณในใฟใผใฏๆฅๆใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ((x): {A}x) | fact1: ใในใฆใฎใขใณในใฟใผใฏๆฅๆใ fact2: ๆฅๆใใขใณในใฟใผใฏๅบๅ
ฅใใๆใ fact3: ๅ
จใฆใฎใขใณในใฟใผใฏๆปใ้ฃใ fact4: ใใใใใขใณในใฟใผใฏ็ฝน็
ใใ | fact1: (x): {A}x fact2: (x): {A}x -> {FS}x fact3: (x): {HN}x fact4: (x): {G}x | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใใใใใขใณในใฟใผใฏๅบๅ
ฅใใๆใ | (x): {FS}x | [
"fact5 -> int1: ใใใใฎใใใใฎLv.2ใๆฅๆใใจใใใจใใฎใใใใฎLv.2ใฏๅบๅ
ฅใใๆใ;"
] | 5 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใในใฆใฎใขใณในใฟใผใฏๆฅๆใ fact2: ๆฅๆใใขใณในใฟใผใฏๅบๅ
ฅใใๆใ fact3: ๅ
จใฆใฎใขใณในใฟใผใฏๆปใ้ฃใ fact4: ใใใใใขใณในใฟใผใฏ็ฝน็
ใใ ; $hypothesis$ = ใใในใฆใฎใขใณในใฟใผใฏๆฅๆใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): {A}x -> {FS}x fact3: (x): {HN}x fact4: (x): {G}x ; $hypothesis$ = ยฌ((x): {A}x) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใๆญใใใจใใใใจใจๅทฎใไผธในใใใจใ่ตทใใใใจใใใใจใฏๅใงใใ | ยฌ({A} & {B}) | fact1: ๅทฎใไผธในใใใจใ่ตทใใ fact2: ๆญใใใจใใใใจใ็บ็ใใ | fact1: {B} fact2: {A} | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ๅทฎใไผธในใใใจใ่ตทใใ fact2: ๆญใใใจใใใใจใ็บ็ใใ ; $hypothesis$ = ใๆญใใใจใใใใจใจๅทฎใไผธในใใใจใ่ตทใใใใจใใใใจใฏๅใงใใ ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: {A} ; $hypothesis$ = ยฌ({A} & {B}) ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใ | {A}{a} | fact1: ใใฎใทใซใใทใLv.83ใฏ่จใๅบใ้ฃใใชใ fact2: ใใฎใดใซใดใLv.97ใฏ่กฐใใชใ fact3: ็ใใใใขใณในใฟใผใฏ่ๅฅฎใๆใ fact4: ใใใใใฎใฝใกใใฝใญLv.78ใ่ๅฅฎใๆใใชใใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใ fact5: ใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใใชใ | fact1: ยฌ{A}{bu} fact2: ยฌ{FL}{a} fact3: (x): {C}x -> {B}x fact4: {B}{b} -> {A}{a} fact5: ยฌ{A}{a} | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใ | {A}{a} | [
"fact7 -> int1: ใใฎใฝใกใใฝใญLv.78ใ็ใใใใชใใใใฏ่ๅฅฎใๆใ;"
] | 6 | 1 | 1 | 0 | 0 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใทใซใใทใLv.83ใฏ่จใๅบใ้ฃใใชใ fact2: ใใฎใดใซใดใLv.97ใฏ่กฐใใชใ fact3: ็ใใใใขใณในใฟใผใฏ่ๅฅฎใๆใ fact4: ใใใใใฎใฝใกใใฝใญLv.78ใ่ๅฅฎใๆใใชใใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใ fact5: ใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใใชใ ; $hypothesis$ = ใใฎใดใซใดใLv.97ใฏ่จใๅบใ้ฃใ ; $proof$ = | fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{A}{bu} fact2: ยฌ{FL}{a} fact3: (x): {C}x -> {B}x fact4: {B}{b} -> {A}{a} fact5: ยฌ{A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact5 -> hypothesis; __DISPROVED__ |
0.3 | ใฝใซใใฝใLv.80ไบไปถใ่ตทใใ | {A} | fact1: ใฝใซใใฝใLv.80ไบไปถใ่ตทใใ fact2: ใใใไปฎใซใๆใใๆใใจใใใใจใ็ใใใใใฎไธๆใใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจๆใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆฌๅฝใ fact3: ไปฎใซใใฝใซใใฝใLv.80ไบไปถใใใณใดใชใดใกใLv.59ไบไปถไธกๆนใจใใ็บ็ใใใใจใใใใจใฏๆญฃใใใชใใชใใฐใฝใซใใฝใLv.80ไบไปถใฏ็ใใชใ fact4: ใใไปฎใซใทใซใทใซLv.10ไบไปถใฏ่ตทใใใชใใชใใใฝใซใใฝใLv.80ไบไปถใ่ตทใใใใดใชใดใกใLv.59ไบไปถใ่ตทใใใใจใใใใจใฏ้้ใฃใฆใใ fact5: ใใใๆใใๆใใจใใใใจใฏ่ตทใใใชใใจใใใฐใทใซใทใซLv.10ไบไปถใงใฏใชใใฆใพใซใ
ใพใLv.8ไบไปถใ็บ็ใใ fact6: ไปฎใซๅ
ฅใ้ฃใใจใใใใจใฏ่ตทใใชใใจใใใใๆใใๆใใจใใใใจใ่ตทใใใๆดใซๆใใๆใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ | fact1: {A} fact2: ยฌ({G} & {E}) -> ยฌ{E} fact3: ยฌ({A} & {B}) -> ยฌ{A} fact4: ยฌ{C} -> ยฌ({A} & {B}) fact5: ยฌ{E} -> (ยฌ{C} & {D}) fact6: ยฌ{F} -> ยฌ({G} & {E}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ใฝใซใใฝใLv.80ไบไปถใฏ็ใใชใ | ยฌ{A} | [] | 10 | 1 | 1 | 0 | 0 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใฝใซใใฝใLv.80ไบไปถใ่ตทใใ fact2: ใใใไปฎใซใๆใใๆใใจใใใใจใ็ใใใใใฎไธๆใใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจๆใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆฌๅฝใ fact3: ไปฎใซใใฝใซใใฝใLv.80ไบไปถใใใณใดใชใดใกใLv.59ไบไปถไธกๆนใจใใ็บ็ใใใใจใใใใจใฏๆญฃใใใชใใชใใฐใฝใซใใฝใLv.80ไบไปถใฏ็ใใชใ fact4: ใใไปฎใซใทใซใทใซLv.10ไบไปถใฏ่ตทใใใชใใชใใใฝใซใใฝใLv.80ไบไปถใ่ตทใใใใดใชใดใกใLv.59ไบไปถใ่ตทใใใใจใใใใจใฏ้้ใฃใฆใใ fact5: ใใใๆใใๆใใจใใใใจใฏ่ตทใใใชใใจใใใฐใทใซใทใซLv.10ไบไปถใงใฏใชใใฆใพใซใ
ใพใLv.8ไบไปถใ็บ็ใใ fact6: ไปฎใซๅ
ฅใ้ฃใใจใใใใจใฏ่ตทใใชใใจใใใใๆใใๆใใจใใใใจใ่ตทใใใๆดใซๆใใๆใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใฝใซใใฝใLv.80ไบไปถใ่ตทใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ยฌ({G} & {E}) -> ยฌ{E} fact3: ยฌ({A} & {B}) -> ยฌ{A} fact4: ยฌ{C} -> ยฌ({A} & {B}) fact5: ยฌ{E} -> (ยฌ{C} & {D}) fact6: ยฌ{F} -> ยฌ({G} & {E}) ; $hypothesis$ = {A} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใทใฎใทใกใLv.21ใฏๅพ้ฃใใชใ | ยฌ{B}{b} | fact1: ใๆฏ่ผใ้ฃใใชใใขใณในใฟใผใฏๅพ้ฃใใใใใซ้ฆฌ้นฟใใใใใจใใใใจใฏๆใ็ซใค fact2: ใใฎใพใกใ
ใพใชLv.44ใฏ้ฆฌ้นฟใใใ fact3: ไปฎใซใใฎใพใกใ
ใพใชLv.44ใฏ้ฆฌ้นฟใใใใจใใใฐใใใฎใทใฎใทใกใLv.21ใฏๅพ้ฃใใใจใใใใจใฏๆใ็ซใค | fact1: (x): ยฌ{C}x -> ({B}x & {A}x) fact2: {A}{a} fact3: {A}{a} -> {B}{b} | [
"fact3 & fact2 -> hypothesis;"
] | [
"fact3 & fact2 -> hypothesis;"
] | ใใฎใทใซใใทใชLv.29ใฏ้ฆฌ้นฟใใใ | {A}{cd} | [
"fact4 -> int1: ใใไปฎใซใใฎใทใซใใทใชLv.29ใๆฏ่ผใ้ฃใใชใใจใใใจๅพ้ฃใใใใฎไธ้ฆฌ้นฟใใใ;"
] | 4 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใๆฏ่ผใ้ฃใใชใใขใณในใฟใผใฏๅพ้ฃใใใใใซ้ฆฌ้นฟใใใใใจใใใใจใฏๆใ็ซใค fact2: ใใฎใพใกใ
ใพใชLv.44ใฏ้ฆฌ้นฟใใใ fact3: ไปฎใซใใฎใพใกใ
ใพใชLv.44ใฏ้ฆฌ้นฟใใใใจใใใฐใใใฎใทใฎใทใกใLv.21ใฏๅพ้ฃใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฎใทใฎใทใกใLv.21ใฏๅพ้ฃใใชใ ; $proof$ = | fact3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{C}x -> ({B}x & {A}x) fact2: {A}{a} fact3: {A}{a} -> {B}{b} ; $hypothesis$ = ยฌ{B}{b} ; $proof$ = | fact3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใฟใใฟใซLv.50ไบไปถใ่ตทใใ | {B} | fact1: ใๅฅณๆงใใใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏ่ฆใๆใใจใใใใจใใใณใทใใทใLv.52ไบไปถใ่ตทใใใ็ใใใใ fact2: ใทใใทใLv.52ไบไปถใจใฟใใฟใซLv.50ไบไปถไธกๆนใ่ตทใใ | fact1: ยฌ{C} -> ({U} & {A}) fact2: ({A} & {B}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ่ฆใๆใใจใใใใจใ่ตทใใใใพใใใกใใใกใใใใใจใ่ตทใใ | ({U} & {BJ}) | [] | 5 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใๅฅณๆงใใใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏ่ฆใๆใใจใใใใจใใใณใทใใทใLv.52ไบไปถใ่ตทใใใ็ใใใใ fact2: ใทใใทใLv.52ไบไปถใจใฟใใฟใซLv.50ไบไปถไธกๆนใ่ตทใใ ; $hypothesis$ = ใฟใใฟใซLv.50ไบไปถใ่ตทใใ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{C} -> ({U} & {A}) fact2: ({A} & {B}) ; $hypothesis$ = {B} ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ใฟใชใฟใLv.20ไบไปถใใใณใดใใดใLv.8ไบไปถใฉใกใใใ็บ็ใใ | ({A} & {B}) | fact1: ใๆปใๅบใใใจใใใณใฟใชใฟใLv.20ไบไปถไธกๆนใ็บ็ใใใใจใใใใจใฏใใพใกใ
ใพใกใLv.1ไบไปถใฏ็บ็ใใชใใใจใใใใจใซใใใใใใ fact2: ใดใใดใLv.8ไบไปถใ่ตทใใ fact3: ใใใๆๅฐๆชใใจใใใใจใฏ็บ็ใใชใใชใใใฟใชใฟใLv.20ไบไปถใ่ตทใใใใดใใดใLv.8ไบไปถใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ fact4: ใฟใชใฟใLv.20ไบไปถใ่ตทใใ | fact1: ยฌ{D} -> ({JG} & {A}) fact2: {B} fact3: ยฌ{C} -> ยฌ({A} & {B}) fact4: {A} | [
"fact4 & fact2 -> hypothesis;"
] | [
"fact4 & fact2 -> hypothesis;"
] | ใใฟใชใฟใLv.20ไบไปถใใใณใดใใดใLv.8ไบไปถใ็ใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A} & {B}) | [] | 6 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใๆปใๅบใใใจใใใณใฟใชใฟใLv.20ไบไปถไธกๆนใ็บ็ใใใใจใใใใจใฏใใพใกใ
ใพใกใLv.1ไบไปถใฏ็บ็ใใชใใใจใใใใจใซใใใใใใ fact2: ใดใใดใLv.8ไบไปถใ่ตทใใ fact3: ใใใๆๅฐๆชใใจใใใใจใฏ็บ็ใใชใใชใใใฟใชใฟใLv.20ไบไปถใ่ตทใใใใดใใดใLv.8ไบไปถใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ fact4: ใฟใชใฟใLv.20ไบไปถใ่ตทใใ ; $hypothesis$ = ใฟใชใฟใLv.20ไบไปถใใใณใดใใดใLv.8ไบไปถใฉใกใใใ็บ็ใใ ; $proof$ = | fact4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{D} -> ({JG} & {A}) fact2: {B} fact3: ยฌ{C} -> ยฌ({A} & {B}) fact4: {A} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ไนใใใใจใฏ็ใใชใ | ยฌ{A} | fact1: ไนใใใใจใ่ตทใใ fact2: ใ็ใผใใจใใใใจใฏ่ตทใใใชใใฆๆดใซใพใใพใLv.38ไบไปถใฏ่ตทใใใชใใใจใใใใจใฏไนใใใใจใฏ่ตทใใชใใจใใใใจใซๅธฐ็ตใใ fact3: ็ใผใใจใใใใจใฏใใใใใกใLv.25ไบไปถใ็บ็ใใใใใค็ท ใ็ดใใใจใ่ตทใใใใจใใใใจใซ้ปใพใใ | fact1: {A} fact2: (ยฌ{C} & ยฌ{B}) -> ยฌ{A} fact3: ({F} & {E}) -> ยฌ{C} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ไนใใใใจใฏ็ใใชใ | ยฌ{A} | [] | 5 | 1 | 1 | 0 | 0 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ไนใใใใจใ่ตทใใ fact2: ใ็ใผใใจใใใใจใฏ่ตทใใใชใใฆๆดใซใพใใพใLv.38ไบไปถใฏ่ตทใใใชใใใจใใใใจใฏไนใใใใจใฏ่ตทใใชใใจใใใใจใซๅธฐ็ตใใ fact3: ็ใผใใจใใใใจใฏใใใใใกใLv.25ไบไปถใ็บ็ใใใใใค็ท ใ็ดใใใจใ่ตทใใใใจใใใใจใซ้ปใพใใ ; $hypothesis$ = ไนใใใใจใฏ็ใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: (ยฌ{C} & ยฌ{B}) -> ยฌ{A} fact3: ({F} & {E}) -> ยฌ{C} ; $hypothesis$ = ยฌ{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใทใฎใทใLv.3ไบไปถใ่ตทใใ | {B} | fact1: ใทใฎใทใLv.3ไบไปถใ่ตทใใชใใจใใใใจใฏ่จฑใ้ฃใใจใใใใจใฏ็บ็ใใชใใจใใใใจใฏๅๅ ใงใใ fact2: ใใใใทใฎใทใLv.3ไบไปถใฏ็บ็ใใชใใชใๅ็บใๆใใจใใใใจใใใณ่จฑใ้ฃใใจใใใใจใฉใกใใใ็ใใ fact3: ่จฑใ้ฃใใจใใใใจใ็บ็ใใใใทใฎใทใLv.3ไบไปถใ่ตทใใ | fact1: ยฌ{A} -> ยฌ{B} fact2: ยฌ{B} -> ({AM} & {A}) fact3: ({A} & {B}) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ๅ็บใๆใใจใใใใจใ่ตทใใ | {AM} | [] | 6 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใทใฎใทใLv.3ไบไปถใ่ตทใใชใใจใใใใจใฏ่จฑใ้ฃใใจใใใใจใฏ็บ็ใใชใใจใใใใจใฏๅๅ ใงใใ fact2: ใใใใทใฎใทใLv.3ไบไปถใฏ็บ็ใใชใใชใๅ็บใๆใใจใใใใจใใใณ่จฑใ้ฃใใจใใใใจใฉใกใใใ็ใใ fact3: ่จฑใ้ฃใใจใใใใจใ็บ็ใใใใทใฎใทใLv.3ไบไปถใ่ตทใใ ; $hypothesis$ = ใทใฎใทใLv.3ไบไปถใ่ตทใใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{A} -> ยฌ{B} fact2: ยฌ{B} -> ({AM} & {A}) fact3: ({A} & {B}) ; $hypothesis$ = {B} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ไปฎใซใใใฎใฝใใฝใLv.85ใฏ็ถ่ฆชใใใใชใใๆฒๆใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใชใใใฎใฝใใฝใLv.85ใฏใใฃใใชใใชใ | ยฌ(ยฌ{AA}{aa} & ยฌ{AB}{aa}) -> ยฌ{B}{aa} | fact1: ใใใใฎใฝใใฝใLv.85ใใใจใใใใชใใฐใใฎใฝใใฝใLv.85ใฏ่ผใใใใชใ fact2: ใใชใซใใใใฎใขใณในใฟใผใฏๆต
ใใชใใใใคๅดๆใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใ็ฐ่ใฃใฝใใชใ fact3: ใใใใใฎใฝใใฝใLv.85ใฏๆตฎใไธ้ขใใใชใใฆใใใซๆผใไปใใใพใใใชใใใจใใใใจใฏ็ขบใใงใชใใชใใฐใใฎใฝใใฝใLv.85ใฏใใฃใใชใใชใ fact4: ใใชใซใใใใฎใขใณในใฟใผใฏ็ถ่ฆชใใใใชใใๆฒๆใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใใฏใใฃใใชใใชใ | fact1: {DI}{aa} -> ยฌ{DG}{aa} fact2: (x): ยฌ(ยฌ{BO}x & ยฌ{FS}x) -> ยฌ{IG}x fact3: ยฌ(ยฌ{IA}{aa} & ยฌ{FD}{aa}) -> ยฌ{B}{aa} fact4: (x): ยฌ(ยฌ{AA}x & ยฌ{AB}x) -> ยฌ{B}x | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ไปฎใซใใใฎใพใใพใLv.2ใฏๆต
ใใชใใๅดๆใใชใใใจใใใใจใฏ่ชคใฃใฆใใใชใใใใฏ็ฐ่ใฃใฝใใชใ | ยฌ(ยฌ{BO}{cf} & ยฌ{FS}{cf}) -> ยฌ{IG}{cf} | [
"fact5 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ใใใใฎใฝใใฝใLv.85ใใใจใใใใชใใฐใใฎใฝใใฝใLv.85ใฏ่ผใใใใชใ fact2: ใใชใซใใใใฎใขใณในใฟใผใฏๆต
ใใชใใใใคๅดๆใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใ็ฐ่ใฃใฝใใชใ fact3: ใใใใใฎใฝใใฝใLv.85ใฏๆตฎใไธ้ขใใใชใใฆใใใซๆผใไปใใใพใใใชใใใจใใใใจใฏ็ขบใใงใชใใชใใฐใใฎใฝใใฝใLv.85ใฏใใฃใใชใใชใ fact4: ใใชใซใใใใฎใขใณในใฟใผใฏ็ถ่ฆชใใใใชใใๆฒๆใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใใฏใใฃใใชใใชใ ; $hypothesis$ = ไปฎใซใใใฎใฝใใฝใLv.85ใฏ็ถ่ฆชใใใใชใใๆฒๆใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใชใใใฎใฝใใฝใLv.85ใฏใใฃใใชใใชใ ; $proof$ = | fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {DI}{aa} -> ยฌ{DG}{aa} fact2: (x): ยฌ(ยฌ{BO}x & ยฌ{FS}x) -> ยฌ{IG}x fact3: ยฌ(ยฌ{IA}{aa} & ยฌ{FD}{aa}) -> ยฌ{B}{aa} fact4: (x): ยฌ(ยฌ{AA}x & ยฌ{AB}x) -> ยฌ{B}x ; $hypothesis$ = ยฌ(ยฌ{AA}{aa} & ยฌ{AB}{aa}) -> ยฌ{B}{aa} ; $proof$ = | fact4 -> hypothesis; __PROVED__ |
0.3 | ใใฝใซใฝใซใ
Lv.36ไบไปถใ็ใใใใจใใใใจใฏ็ขบใใงใใ | {A} | fact1: ใใฝใซใฝใซใ
Lv.36ไบไปถใ็ใใใใจใใใใจใฏ็ขบใใงใใ fact2: ใๆฅตใพใใชใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใค | fact1: {A} fact2: {BS} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฝใซใฝใซใ
Lv.36ไบไปถใ็ใใใใจใใใใจใฏ็ขบใใงใใ fact2: ใๆฅตใพใใชใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฝใซใฝใซใ
Lv.36ไบไปถใ็ใใใใจใใใใจใฏ็ขบใใงใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {BS} ; $hypothesis$ = {A} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใดใซใใดใซLv.71ใฏ็ใๆใใจใใใใจใฏใชใ | ยฌ{B}{a} | fact1: ใใใใใฎใพใฎใพใLv.97ใฏ้ชจใฃใฝใใ็ใๆใใใจใใใใจใฏ่ชคใฃใฆใใใชใใใใฎใดใซใใดใซLv.71ใฏ็ใๆใใชใใใจใใใใจใฏ็ๅฎใ | fact1: ยฌ({C}{b} & {B}{b}) -> ยฌ{B}{a} | [] | [] | ใใฎใดใซใใดใซLv.71ใฏ็ใๆใใจใใใใจใฏใชใ | ยฌ{B}{a} | [] | 6 | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใฎใพใฎใพใLv.97ใฏ้ชจใฃใฝใใ็ใๆใใใจใใใใจใฏ่ชคใฃใฆใใใชใใใใฎใดใซใใดใซLv.71ใฏ็ใๆใใชใใใจใใใใจใฏ็ๅฎใ ; $hypothesis$ = ใใฎใดใซใใดใซLv.71ใฏ็ใๆใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ({C}{b} & {B}{b}) -> ยฌ{B}{a} ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ็ใ้ฃใใจใใใใจใ็บ็ใใ | {B} | fact1: ็ฆใใฃใใใจใใใใจใ่ตทใใ fact2: ็ฆใใฃใใใจใใใใจใ่ตทใใใใใฎไธ็ใ้ฃใใจใใใใจใ่ตทใใ | fact1: {A} fact2: ({A} & {B}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ็ฆใใฃใใใจใใใใจใ่ตทใใ fact2: ็ฆใใฃใใใจใใใใจใ่ตทใใใใใฎไธ็ใ้ฃใใจใใใใจใ่ตทใใ ; $hypothesis$ = ็ใ้ฃใใจใใใใจใ็บ็ใใ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ({A} & {B}) ; $hypothesis$ = {B} ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ๆใใใจใใใใจใ่ตทใใ | {A} | fact1: ใใซใใใซใLv.40ไบไปถใฏ็บ็ใใชใใจใใใใจใฏใใทใกใใทใกใLv.9ไบไปถใจๆใใใจใใใใจไธกๆนใจใใ็ใใใใจใใใใจใซ็นใใ fact2: ๆใใใจใใใใจใใใณใใซใใใซใLv.40ไบไปถไธกๆนใจใใ็บ็ใใ | fact1: ยฌ{B} -> ({BQ} & {A}) fact2: ({A} & {B}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใทใกใใทใกใLv.9ไบไปถใ็ใใใใจใใใใจใฏๆใ็ซใค | {BQ} | [] | 6 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใซใใใซใLv.40ไบไปถใฏ็บ็ใใชใใจใใใใจใฏใใทใกใใทใกใLv.9ไบไปถใจๆใใใจใใใใจไธกๆนใจใใ็ใใใใจใใใใจใซ็นใใ fact2: ๆใใใจใใใใจใใใณใใซใใใซใLv.40ไบไปถไธกๆนใจใใ็บ็ใใ ; $hypothesis$ = ๆใใใจใใใใจใ่ตทใใ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{B} -> ({BQ} & {A}) fact2: ({A} & {B}) ; $hypothesis$ = {A} ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ใๅ
ฅใๆใใจใใใใจใใใณๅใๆใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ({A} & {B}) | fact1: ใใฝใซใฝใLv.19ไบไปถใใใณ็บใพใๆใใจใใใใจไธกๆนใจใใ็บ็ใใใใจใใใใจใฏๆฌๅฝใงใชใใชใใฟใซใฟใกใ
Lv.71ไบไปถใฏ่ตทใใใชใ fact2: ใใใๅบใ้ฃใใจใใใใจใฏ็ใใชใใชใใฐใใฝใซใฝใLv.19ไบไปถใใใณ็บใพใๆใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact3: ไปฎใซใฟใซใฟใกใ
Lv.71ไบไปถใฏ่ตทใใชใใชใๅ็บใๆใใจใใใใจใจๅใๆใใจใใใใจใ่ตทใใ fact4: ๅ
ฅใๆใใจใใใใจใ่ตทใใ fact5: ใใไปฎใซใฟใซใฟใกใ
Lv.71ไบไปถใฏ็ใใชใใจใใใฐใๅ
ฅใๆใใจใใใใจใจๅใๆใใจใใใใจไธกๆนใจใใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact6: ไปฎใซใๅใ่ฝใกใใใจใฏ่ตทใใใชใใใใใใLv.25ไบไปถใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐๅบใ้ฃใใจใใใใจใฏ็บ็ใใชใ | fact1: ยฌ({D} & {E}) -> ยฌ{C} fact2: ยฌ{G} -> ยฌ({D} & {E}) fact3: ยฌ{C} -> ({BN} & {B}) fact4: {A} fact5: ยฌ{C} -> ยฌ({A} & {B}) fact6: ยฌ(ยฌ{J} & ยฌ{K}) -> ยฌ{G} | [] | [] | ใๅ
ฅใๆใใจใใใใจใใใณๅใๆใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ({A} & {B}) | [] | 6 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใฝใซใฝใLv.19ไบไปถใใใณ็บใพใๆใใจใใใใจไธกๆนใจใใ็บ็ใใใใจใใใใจใฏๆฌๅฝใงใชใใชใใฟใซใฟใกใ
Lv.71ไบไปถใฏ่ตทใใใชใ fact2: ใใใๅบใ้ฃใใจใใใใจใฏ็ใใชใใชใใฐใใฝใซใฝใLv.19ไบไปถใใใณ็บใพใๆใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact3: ไปฎใซใฟใซใฟใกใ
Lv.71ไบไปถใฏ่ตทใใชใใชใๅ็บใๆใใจใใใใจใจๅใๆใใจใใใใจใ่ตทใใ fact4: ๅ
ฅใๆใใจใใใใจใ่ตทใใ fact5: ใใไปฎใซใฟใซใฟใกใ
Lv.71ไบไปถใฏ็ใใชใใจใใใฐใๅ
ฅใๆใใจใใใใจใจๅใๆใใจใใใใจไธกๆนใจใใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact6: ไปฎใซใๅใ่ฝใกใใใจใฏ่ตทใใใชใใใใใใLv.25ไบไปถใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐๅบใ้ฃใใจใใใใจใฏ็บ็ใใชใ ; $hypothesis$ = ใๅ
ฅใๆใใจใใใใจใใใณๅใๆใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ({D} & {E}) -> ยฌ{C} fact2: ยฌ{G} -> ยฌ({D} & {E}) fact3: ยฌ{C} -> ({BN} & {B}) fact4: {A} fact5: ยฌ{C} -> ยฌ({A} & {B}) fact6: ยฌ(ยฌ{J} & ยฌ{K}) -> ยฌ{G} ; $hypothesis$ = ยฌ({A} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใฟใใฟใLv.32ใฏๅพกไธใใซๆใ | {B}{b} | fact1: ใใใใใฎใพใญใพใLv.92ใๆดใไธใใใฐใใฎใฟใใฟใLv.32ใฏๅพกไธใใซๆใ fact2: ใใฎใฟใกใใฟใLv.88ใฏๅพกไธใใซๆใ fact3: ใใฎใพใญใพใLv.92ใฏๆดใไธใใ fact4: ใใไปฎใซใใใขใณในใฟใผใๆดใไธใใใชใใจใใใฐใใใฏๅพกไธใใซๆใใชใใๆฐใใจใใใใจใฏใชใ | fact1: {A}{a} -> {B}{b} fact2: {B}{ho} fact3: {A}{a} fact4: (x): ยฌ{A}x -> (ยฌ{B}x & ยฌ{C}x) | [
"fact1 & fact3 -> hypothesis;"
] | [
"fact1 & fact3 -> hypothesis;"
] | ใใใฎใฟใใฟใLv.32ใฏๅพกไธใใซๆใใชใใใจใใใใจใฏไบๅฎใ | ยฌ{B}{b} | [
"fact5 -> int1: ไปฎใซใใฎใพใญใพใLv.92ใๆดใไธใใใชใใจใใใๅพกไธใใซๆใใชใใใใคๆฐใใชใ;"
] | 5 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใใใฎใพใญใพใLv.92ใๆดใไธใใใฐใใฎใฟใใฟใLv.32ใฏๅพกไธใใซๆใ fact2: ใใฎใฟใกใใฟใLv.88ใฏๅพกไธใใซๆใ fact3: ใใฎใพใญใพใLv.92ใฏๆดใไธใใ fact4: ใใไปฎใซใใใขใณในใฟใผใๆดใไธใใใชใใจใใใฐใใใฏๅพกไธใใซๆใใชใใๆฐใใจใใใใจใฏใชใ ; $hypothesis$ = ใใฎใฟใใฟใLv.32ใฏๅพกไธใใซๆใ ; $proof$ = | fact1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {B}{ho} fact3: {A}{a} fact4: (x): ยฌ{A}x -> (ยฌ{B}x & ยฌ{C}x) ; $hypothesis$ = {B}{b} ; $proof$ = | fact1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใใใใฎไธๆใใ้ฃใใใจใใใใจใฏ่ชคใใงใใ | ยฌ({AA}{b} & {AB}{b}) | fact1: ใใใขใณในใฟใผใฏ้ขไผๅบๆฅใชใใจใใใใ็ด ๆดใใใใใใฎไธๆใใ้ฃใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ใใฎใทใกใ
ใทใกใLv.69ใฏ้ขไผๅบๆฅใชใ fact3: ใใใใใฎใทใกใ
ใทใกใLv.69ใ้ขไผๅบๆฅใชใใชใใฐใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใใฆๅ ใใฆใใใฏๆใใ้ฃใ fact4: ใใใใใฎใทใกใ
ใทใกใLv.69ใ้ขไผๅบๆฅใชใใชใใฐใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใ fact5: ใใใชใใใใฎใขใณในใฟใผใฏๅพกๅดใใใชใใชใใๅกใๅใใใใใใฏ้ขไผๅบๆฅใใใจใใใใจใฏ่ชคใใงใใ fact6: ใใฎใใใใLv.57ใฏ้ขไผๅบๆฅใชใ | fact1: (x): ยฌ{A}x -> ยฌ({AA}x & {AB}x) fact2: ยฌ{A}{a} fact3: ยฌ{A}{a} -> ({AA}{b} & {AB}{b}) fact4: ยฌ{A}{a} -> {AA}{b} fact5: (x): ยฌ{C}x -> ยฌ({B}x & {A}x) fact6: ยฌ{A}{bq} | [
"fact3 & fact2 -> hypothesis;"
] | [
"fact3 & fact2 -> hypothesis;"
] | ใใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใใใใฎไธๆใใ้ฃใใใจใใใใจใฏ่ชคใใงใใ | ยฌ({AA}{b} & {AB}{b}) | [
"fact8 -> int1: ใใฎใดใกใใดใชLv.75ใฏ้ขไผๅบๆฅใใจใใใใจใฏใชใใจใใใใใใใฏ็ด ๆดใใใใฆใใคๆใใ้ฃใใใจใใใใจใฏๅฝใงใใ; fact7 -> int2: ไปฎใซใใฎใทใกใ
ใทใกใLv.69ใฏๅพกๅดใใใชใใจใใใใใใฎใทใกใ
ใทใกใLv.69ใฏๅกใๅใใใ้ขไผๅบๆฅใใใจใใใใจใฏ่ชคใใ ;"
] | 6 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใขใณในใฟใผใฏ้ขไผๅบๆฅใชใใจใใใใ็ด ๆดใใใใใใฎไธๆใใ้ฃใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ใใฎใทใกใ
ใทใกใLv.69ใฏ้ขไผๅบๆฅใชใ fact3: ใใใใใฎใทใกใ
ใทใกใLv.69ใ้ขไผๅบๆฅใชใใชใใฐใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใใฆๅ ใใฆใใใฏๆใใ้ฃใ fact4: ใใใใใฎใทใกใ
ใทใกใLv.69ใ้ขไผๅบๆฅใชใใชใใฐใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใ fact5: ใใใชใใใใฎใขใณในใฟใผใฏๅพกๅดใใใชใใชใใๅกใๅใใใใใใฏ้ขไผๅบๆฅใใใจใใใใจใฏ่ชคใใงใใ fact6: ใใฎใใใใLv.57ใฏ้ขไผๅบๆฅใชใ ; $hypothesis$ = ใใใฎใดใกใใดใชLv.75ใฏ็ด ๆดใใใใใใฎไธๆใใ้ฃใใใจใใใใจใฏ่ชคใใงใใ ; $proof$ = | fact3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{A}x -> ยฌ({AA}x & {AB}x) fact2: ยฌ{A}{a} fact3: ยฌ{A}{a} -> ({AA}{b} & {AB}{b}) fact4: ยฌ{A}{a} -> {AA}{b} fact5: (x): ยฌ{C}x -> ยฌ({B}x & {A}x) fact6: ยฌ{A}{bq} ; $hypothesis$ = ยฌ({AA}{b} & {AB}{b}) ; $proof$ = | fact3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใใฎใฟใซใใฟใซLv.8ใๅฟใใชใใๆฆใๅใใจใใใจใใฎใฟใซใใฟใซLv.8ใฏๅใฐใใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ | ยฌ((ยฌ{AA}{aa} & {AB}{aa}) -> ยฌ{B}{aa}) | fact1: ใใใใฎใฟใชใฟใซLv.46ใๅพใใใใใชใใใใใๅใ้ฃใใจใใใฐใๆฆใๅใใใจใใใใจใฏ้้ใฃใฆใใชใ fact2: ใใใๅฟใใชใใขใณในใฟใผใๆฆใๅใใจใใใๅใฐใใใชใ fact3: ใใใไฝใใใฎใขใณในใฟใผใฏๅฟใใชใใใฉๆฆใๅใใฐใใใฏๅใฐใใ fact4: ใใๅฟใใขใณในใฟใผใๆฆใๅใใฐๅใฐใใใชใ fact5: ไปฎใซใใฎใฝใซใใฝใกใLv.64ใๆฆใๅใใชใใใใฉๅใ้ฃใใชใใใฎใฝใซใใฝใกใLv.64ใฏ็ธ่ซใๆใใจใใใใจใฏใชใ | fact1: (ยฌ{DT}{dq} & {CU}{dq}) -> {AB}{dq} fact2: (x): (ยฌ{AA}x & {AB}x) -> ยฌ{B}x fact3: (x): (ยฌ{AA}x & {AB}x) -> {B}x fact4: (x): ({AA}x & {AB}x) -> ยฌ{B}x fact5: (ยฌ{AB}{bu} & {CU}{bu}) -> ยฌ{I}{bu} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใใฎใฟใชใฟใซLv.46ใๅพใใใใใชใใใใใๅใ้ฃใใจใใใฐใๆฆใๅใใใจใใใใจใฏ้้ใฃใฆใใชใ fact2: ใใใๅฟใใชใใขใณในใฟใผใๆฆใๅใใจใใใๅใฐใใใชใ fact3: ใใใไฝใใใฎใขใณในใฟใผใฏๅฟใใชใใใฉๆฆใๅใใฐใใใฏๅใฐใใ fact4: ใใๅฟใใขใณในใฟใผใๆฆใๅใใฐๅใฐใใใชใ fact5: ไปฎใซใใฎใฝใซใใฝใกใLv.64ใๆฆใๅใใชใใใใฉๅใ้ฃใใชใใใฎใฝใซใใฝใกใLv.64ใฏ็ธ่ซใๆใใจใใใใจใฏใชใ ; $hypothesis$ = ใใใใใใฎใฟใซใใฟใซLv.8ใๅฟใใชใใๆฆใๅใใจใใใจใใฎใฟใซใใฟใซLv.8ใฏๅใฐใใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (ยฌ{DT}{dq} & {CU}{dq}) -> {AB}{dq} fact2: (x): (ยฌ{AA}x & {AB}x) -> ยฌ{B}x fact3: (x): (ยฌ{AA}x & {AB}x) -> {B}x fact4: (x): ({AA}x & {AB}x) -> ยฌ{B}x fact5: (ยฌ{AB}{bu} & {CU}{bu}) -> ยฌ{I}{bu} ; $hypothesis$ = ยฌ((ยฌ{AA}{aa} & {AB}{aa}) -> ยฌ{B}{aa}) ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใขใณในใฟใผใฏๅฎๆฅฝๆญปใใ | (x): {A}x | fact1: ใใชใใใใฎใขใณในใฟใผใฏๅฎๆฅฝๆญปใใไธๆนใงๅผพใๆใใชใใใจใใใใจใฏ่ชคใฃใฆใใใฐๆณจใ่พผใ | fact1: (x): ยฌ({A}x & ยฌ{B}x) -> {AU}x | [] | [] | ๅ
จใฆใฎใขใณในใฟใผใฏๆณจใ่พผใ | (x): {AU}x | [
"fact2 -> int1: ใใใใใฎใดใใดใLv.45ใฏๅฎๆฅฝๆญปใใใใใฉๅผพใๆใใชใใใจใใใใจใฏ่ชคใใงใใใจใใใฐใใฎใดใใดใLv.45ใฏๆณจใ่พผใ;"
] | 5 | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใชใใใใฎใขใณในใฟใผใฏๅฎๆฅฝๆญปใใไธๆนใงๅผพใๆใใชใใใจใใใใจใฏ่ชคใฃใฆใใใฐๆณจใ่พผใ ; $hypothesis$ = ใใใใใขใณในใฟใผใฏๅฎๆฅฝๆญปใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ยฌ({A}x & ยฌ{B}x) -> {AU}x ; $hypothesis$ = (x): {A}x ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใทใใทใLv.93ใฏ่ฉณใใใชใ | ยฌ{B}{a} | fact1: ใใใใใใขใณในใฟใผใ่ฉณใใใใใคๅ็ญๅใใใจใใใจใใฎใดใใดใLv.96ใฏๅ็ญๅใใชใ fact2: ไปฎใซไฝใใใฎใขใณในใฟใผใ่ปใใใใจใใใฐใใใฏๅ็ญๅใใ fact3: ใใใฎใฝใใฝใซใ
Lv.40ใฏ่
ซใใผใฃใใใใฉ็ฝใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact4: ใใฎใทใใทใLv.93ใฏๅ็ญๅใใชใ fact5: ไปฎใซใใฎใทใใทใLv.93ใๆจใใฃใใใใใชใใจใใใใใฎใทใใทใLv.93ใฏ่ฉณใใใฆใพใๅฟใณ้ฃใ | fact1: (x): ({B}x & {A}x) -> ยฌ{A}{hf} fact2: (x): {C}x -> {A}x fact3: ยฌ({E}{b} & ยฌ{D}{b}) fact4: ยฌ{A}{a} fact5: ยฌ{G}{a} -> ({B}{a} & {F}{a}) | [] | [] | ใใฎใดใใดใLv.96ใฏๅ็ญๅใใใจใใใใจใฏใชใ | ยฌ{A}{hf} | [
"fact6 -> int1: ใใใใฎใทใใทใLv.93ใ่ปใใใใจใใใฐใใฎใทใใทใLv.93ใฏๅ็ญๅใใ; fact7 -> int2: ใใ่
ซใใผใฃใใใฆใใพใใซ็ฝใใชใใใจใใใใจใฏๅฝใงใใใใขใณในใฟใผใฏใใ;"
] | 6 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใใขใณในใฟใผใ่ฉณใใใใใคๅ็ญๅใใใจใใใจใใฎใดใใดใLv.96ใฏๅ็ญๅใใชใ fact2: ไปฎใซไฝใใใฎใขใณในใฟใผใ่ปใใใใจใใใฐใใใฏๅ็ญๅใใ fact3: ใใใฎใฝใใฝใซใ
Lv.40ใฏ่
ซใใผใฃใใใใฉ็ฝใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact4: ใใฎใทใใทใLv.93ใฏๅ็ญๅใใชใ fact5: ไปฎใซใใฎใทใใทใLv.93ใๆจใใฃใใใใใชใใจใใใใใฎใทใใทใLv.93ใฏ่ฉณใใใฆใพใๅฟใณ้ฃใ ; $hypothesis$ = ใใฎใทใใทใLv.93ใฏ่ฉณใใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({B}x & {A}x) -> ยฌ{A}{hf} fact2: (x): {C}x -> {A}x fact3: ยฌ({E}{b} & ยฌ{D}{b}) fact4: ยฌ{A}{a} fact5: ยฌ{G}{a} -> ({B}{a} & {F}{a}) ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ไปฎใซใใฎใทใซใใทใซใ
Lv.34ใไบบ้ใฃใฝใใชใใฐใใใฏๅฟ่ฆใใใชใใๆดใซๅใกๆฎใใใจใใใใจใฏใชใ | {A}{aa} -> (ยฌ{AA}{aa} & ยฌ{AB}{aa}) | fact1: ใใไปฎใซใใฎใทใซใใทใซใ
Lv.34ใไบบ้ใฃใฝใใจใใใฐใใใฏๅฟ่ฆใใใใใใๅใกๆฎใใชใ | fact1: {A}{aa} -> ({AA}{aa} & ยฌ{AB}{aa}) | [] | [] | null | null | [] | null | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใไปฎใซใใฎใทใซใใทใซใ
Lv.34ใไบบ้ใฃใฝใใจใใใฐใใใฏๅฟ่ฆใใใใใใๅใกๆฎใใชใ ; $hypothesis$ = ไปฎใซใใฎใทใซใใทใซใ
Lv.34ใไบบ้ใฃใฝใใชใใฐใใใฏๅฟ่ฆใใใชใใๆดใซๅใกๆฎใใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{aa} -> ({AA}{aa} & ยฌ{AB}{aa}) ; $hypothesis$ = {A}{aa} -> (ยฌ{AA}{aa} & ยฌ{AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ้ต้ใใใใจใฏ็ใใชใ | ยฌ{B} | fact1: ใใซใใใLv.67ไบไปถใ่ตทใใใใใฎไธ้ต้ใใใใจใ่ตทใใ | fact1: ({A} & {B}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใซใใใLv.67ไบไปถใ่ตทใใใใใฎไธ้ต้ใใใใจใ่ตทใใ ; $hypothesis$ = ้ต้ใใใใจใฏ็ใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) ; $hypothesis$ = ยฌ{B} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใฟใซใ
ใฟใLv.94ไบไปถใงใฏใชใใฆ็ฝนๆฃใๆใใจใใใใจใ็บ็ใใ | (ยฌ{AA} & {AB}) | fact1: ใใดใกใใดใLv.24ไบไปถใฏ่ตทใใชใใใจใใใใจใฏใใฟใซใ
ใฟใLv.94ไบไปถใงใฏใชใ็ฝนๆฃใๆใใจใใใใจใ่ตทใใใใจใใใใจใ่ช็บใใ fact2: ใใใดใกใใดใLv.24ไบไปถใ่ตทใใใจใใใจใใฟใซใ
ใฟใLv.94ไบไปถใฏ่ตทใใชใใ็ฝนๆฃใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ | fact1: ยฌ{A} -> (ยฌ{AA} & {AB}) fact2: {A} -> ยฌ(ยฌ{AA} & {AB}) | [] | [] | ใใฟใซใ
ใฟใLv.94ไบไปถใฏ่ตทใใชใใใใใ็ฝนๆฃใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ(ยฌ{AA} & {AB}) | [] | 6 | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใดใกใใดใLv.24ไบไปถใฏ่ตทใใชใใใจใใใใจใฏใใฟใซใ
ใฟใLv.94ไบไปถใงใฏใชใ็ฝนๆฃใๆใใจใใใใจใ่ตทใใใใจใใใใจใ่ช็บใใ fact2: ใใใดใกใใดใLv.24ไบไปถใ่ตทใใใจใใใจใใฟใซใ
ใฟใLv.94ไบไปถใฏ่ตทใใชใใ็ฝนๆฃใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ ; $hypothesis$ = ใฟใซใ
ใฟใLv.94ไบไปถใงใฏใชใใฆ็ฝนๆฃใๆใใจใใใใจใ็บ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{A} -> (ยฌ{AA} & {AB}) fact2: {A} -> ยฌ(ยฌ{AA} & {AB}) ; $hypothesis$ = (ยฌ{AA} & {AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใดใซใใดใชLv.95ใฏใฒใใใใใใใใใๅใๅ
ฅใ้ฃใ | ({A}{a} & {B}{a}) | fact1: ใชใใใใฎใขใณในใฟใผใฏๆงๅใใใใจใใใใจใฏใชใใชใใใฒใใใใใใๅใๅ
ฅใ้ฃใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ใใฎใดใซใใดใชLv.95ใฏๅใๅ
ฅใ้ฃใ fact3: ใใใใใขใณในใฟใผใฏ็
ฉใใใใชใใฆๅ ใใฆๆงๅใใใใชใ fact4: ๆงๅใใใใชใใขใณในใฟใผใฏๅใๅ
ฅใ้ฃใใใใฎไธใฒใใใใใ fact5: ใใฎใดใซใใดใชLv.95ใฏใฒใใใใใ | fact1: (x): ยฌ{C}x -> ยฌ({A}x & {B}x) fact2: {B}{a} fact3: (x): {E}x -> (ยฌ{D}x & ยฌ{C}x) fact4: (x): ยฌ{C}x -> ({B}x & {A}x) fact5: {A}{a} | [
"fact5 & fact2 -> hypothesis;"
] | [
"fact5 & fact2 -> hypothesis;"
] | ใใใฎใดใซใใดใชLv.95ใฏใฒใใใใใใใใใซๅใๅ
ฅใ้ฃใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A}{a} & {B}{a}) | [
"fact7 -> int1: ใใใฎใดใซใใดใชLv.95ใฏๆงๅใใใใชใใใจใใใใจใฏๅฝใงใชใใจใใใใใใฎใดใซใใดใชLv.95ใฏใฒใใใใใใใใคใใใฏๅใๅ
ฅใ้ฃใใใจใใใใจใฏๆใ็ซใใชใ; fact6 -> int2: ใใไปฎใซใใฎใดใซใใดใชLv.95ใใใใใใจใใใฐใใฎใดใซใใดใชLv.95ใฏ็
ฉใใใใชใใฆๆงๅใใใใชใ;"
] | 5 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใชใใใใฎใขใณในใฟใผใฏๆงๅใใใใจใใใใจใฏใชใใชใใใฒใใใใใใๅใๅ
ฅใ้ฃใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact2: ใใฎใดใซใใดใชLv.95ใฏๅใๅ
ฅใ้ฃใ fact3: ใใใใใขใณในใฟใผใฏ็
ฉใใใใชใใฆๅ ใใฆๆงๅใใใใชใ fact4: ๆงๅใใใใชใใขใณในใฟใผใฏๅใๅ
ฅใ้ฃใใใใฎไธใฒใใใใใ fact5: ใใฎใดใซใใดใชLv.95ใฏใฒใใใใใ ; $hypothesis$ = ใใฎใดใซใใดใชLv.95ใฏใฒใใใใใใใใใๅใๅ
ฅใ้ฃใ ; $proof$ = | fact5 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ยฌ{C}x -> ยฌ({A}x & {B}x) fact2: {B}{a} fact3: (x): {E}x -> (ยฌ{D}x & ยฌ{C}x) fact4: (x): ยฌ{C}x -> ({B}x & {A}x) fact5: {A}{a} ; $hypothesis$ = ({A}{a} & {B}{a}) ; $proof$ = | fact5 & fact2 -> hypothesis; __PROVED__ |
0.3 | ใทใใทใชLv.61ไบไปถใ่ตทใใ | {B} | fact1: ใใใๅ้ใใๆใใจใใใใจใฏ็บ็ใใชใใจใใใฐๆ่ซใใใใจใ่ตทใใใๆดใซใฝใใฝใLv.57ไบไปถใ็บ็ใใ fact2: ใๅฝใใๆใใจใใใใจใฏ็ใใชใใๅ ใใฆๆใๆใใจใใใใจใฏ็ใใชใใใจใใใใจใฏใๆ่ซใใใใจใฏ่ตทใใชใใใจใใใใจใๅๅ ใงใใ fact3: ใๅฝใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆญฃใใใจใใใใทใใทใชLv.61ไบไปถใฏ่ตทใใชใไธๆนใงไผธใณๆใใจใใใใจใ่ตทใใ fact4: ใทใชใทใLv.43ไบไปถใ็บ็ใใ | fact1: ยฌ{F} -> ({E} & {GA}) fact2: ยฌ{E} -> (ยฌ{C} & ยฌ{D}) fact3: ยฌ{C} -> (ยฌ{B} & {A}) fact4: {HO} | [] | [] | ใฝใใฝใLv.57ไบไปถใ็บ็ใใใใใกใใใกใLv.95ไบไปถใ่ตทใใ | ({GA} & {AF}) | [] | 4 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใๅ้ใใๆใใจใใใใจใฏ็บ็ใใชใใจใใใฐๆ่ซใใใใจใ่ตทใใใๆดใซใฝใใฝใLv.57ไบไปถใ็บ็ใใ fact2: ใๅฝใใๆใใจใใใใจใฏ็ใใชใใๅ ใใฆๆใๆใใจใใใใจใฏ็ใใชใใใจใใใใจใฏใๆ่ซใใใใจใฏ่ตทใใชใใใจใใใใจใๅๅ ใงใใ fact3: ใๅฝใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆญฃใใใจใใใใทใใทใชLv.61ไบไปถใฏ่ตทใใชใไธๆนใงไผธใณๆใใจใใใใจใ่ตทใใ fact4: ใทใชใทใLv.43ไบไปถใ็บ็ใใ ; $hypothesis$ = ใทใใทใชLv.61ไบไปถใ่ตทใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{F} -> ({E} & {GA}) fact2: ยฌ{E} -> (ยฌ{C} & ยฌ{D}) fact3: ยฌ{C} -> (ยฌ{B} & {A}) fact4: {HO} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใๅ
จใฆใฎใขใณในใฟใผใฏ้ฝใๆใใใจใใใใจใฏ้้ใฃใฆใใ | ยฌ((x): {A}x) | fact1: ใๅผ่งฃใใพใใใจใใใใจใฏใชใใขใณในใฟใผใฏๅฉ็จใใๆใใ้ฝใๆใใใจใใใใจใฏไบๅฎใ fact2: ใในใฆใฎใขใณในใฟใผใฏ้ฝใๆใ | fact1: (x): ยฌ{C}x -> ({B}x & {A}x) fact2: (x): {A}x | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ๅ
จใฆใฎใขใณในใฟใผใฏ่ฅใๅคชใ | (x): {M}x | [
"fact3 -> int1: ใใใใใฎใใใใLv.82ใๅผ่งฃใใพใใใชใใจใใใๅฉ็จใใๆใใฆใใใซ้ฝใๆใ;"
] | 7 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใๅผ่งฃใใพใใใจใใใใจใฏใชใใขใณในใฟใผใฏๅฉ็จใใๆใใ้ฝใๆใใใจใใใใจใฏไบๅฎใ fact2: ใในใฆใฎใขใณในใฟใผใฏ้ฝใๆใ ; $hypothesis$ = ใๅ
จใฆใฎใขใณในใฟใผใฏ้ฝใๆใใใจใใใใจใฏ้้ใฃใฆใใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{C}x -> ({B}x & {A}x) fact2: (x): {A}x ; $hypothesis$ = ยฌ((x): {A}x) ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏใๅผฑใใชใ | ยฌ{A}{a} | fact1: ๅใ้ฃใใชใใขใณในใฟใผใฏใๅผฑใใชใ fact2: ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏใๅผฑใใฆใใใฏๅใ้ฃใ fact3: ไปฎใซๅคงไบบใใใจใใใใจใฏใชใใขใณในใฟใผใๅพก้ฃใใซๆใใชใใจใใใจใใใฏๅใ้ฃใใจใใใใจใฏใชใ fact4: ใใใใฎใใใใกใ
Lv.66ใๅ
ทใใใใใค่ช็บใๆใใจใใใจใใใฎใดใซใ
ใดใกใLv.4ใฏๅ
ทใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใชใ fact5: ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏๅใ้ฃใ | fact1: (x): ยฌ{B}x -> ยฌ{A}x fact2: ({A}{a} & {B}{a}) fact3: (x): (ยฌ{C}x & ยฌ{D}x) -> ยฌ{B}x fact4: ({E}{c} & {F}{c}) -> ยฌ{E}{b} fact5: {B}{a} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏใๅผฑใใชใ | ยฌ{A}{a} | [
"fact8 -> int1: ใใฎใฟใซใ
ใฟใกใ
Lv.41ใๅใ้ฃใใชใใจใใใฐใใใฏใๅผฑใใชใ; fact6 -> int2: ใใใใฎใฟใซใ
ใฟใกใ
Lv.41ใๅคงไบบใใใชใใใใใๅพก้ฃใใซๆใใชใใชใใฐใใใฏๅใ้ฃใใชใ;"
] | 6 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ๅใ้ฃใใชใใขใณในใฟใผใฏใๅผฑใใชใ fact2: ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏใๅผฑใใฆใใใฏๅใ้ฃใ fact3: ไปฎใซๅคงไบบใใใจใใใใจใฏใชใใขใณในใฟใผใๅพก้ฃใใซๆใใชใใจใใใจใใใฏๅใ้ฃใใจใใใใจใฏใชใ fact4: ใใใใฎใใใใกใ
Lv.66ใๅ
ทใใใใใค่ช็บใๆใใจใใใจใใใฎใดใซใ
ใดใกใLv.4ใฏๅ
ทใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใชใ fact5: ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏๅใ้ฃใ ; $hypothesis$ = ใใฎใฟใซใ
ใฟใกใ
Lv.41ใฏใๅผฑใใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{B}x -> ยฌ{A}x fact2: ({A}{a} & {B}{a}) fact3: (x): (ยฌ{C}x & ยฌ{D}x) -> ยฌ{B}x fact4: ({E}{c} & {F}{c}) -> ยฌ{E}{b} fact5: {B}{a} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎใใใใญLv.46ใฏไธใ้ฃใใชใใใจใใใใจใฏไบๅฎใงใใ | ยฌ{B}{a} | fact1: ใใฎใพใฎใพใLv.37ใฏ็ใใ fact2: ใใใชใใใใฎใขใณในใฟใผใฏๅคใใชใใชใใฐใใใใฏใๆใใใใฉ็ใใใชใใใจใใใใจใฏ้้ใใงใใ fact3: ไปฎใซใใฎใใกใใใซใLv.30ใไผดใๆใใๅคใใชใใใฎใฝใซใฝใกใLv.94ใฏๅคใใชใ fact4: ใใใใฎใใใใญLv.46ใ็ใใใจใใใฐใใฎใใใใญLv.46ใฏไธใ้ฃใ fact5: ใใใจใใใขใณในใฟใผใฏใๆใใชใใ็ใใใจใใใใใใฏไธใ้ฃใใชใ | fact1: {A}{cl} fact2: (x): ยฌ{D}x -> ยฌ({C}x & ยฌ{A}x) fact3: ({F}{c} & {D}{c}) -> ยฌ{D}{b} fact4: {A}{a} -> {B}{a} fact5: (x): (ยฌ{C}x & {A}x) -> ยฌ{B}x | [] | [] | ใใใฎใใใใญLv.46ใฏไธใ้ฃใใชใใใจใใใใจใฏไบๅฎใงใใ | ยฌ{B}{a} | [
"fact7 -> int1: ใใไปฎใซใใฎใใใใญLv.46ใฏใๆใใชใใ็ใใใจใใใฐใใฎใใใใญLv.46ใฏไธใ้ฃใใชใ;"
] | 6 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใฎใพใฎใพใLv.37ใฏ็ใใ fact2: ใใใชใใใใฎใขใณในใฟใผใฏๅคใใชใใชใใฐใใใใฏใๆใใใใฉ็ใใใชใใใจใใใใจใฏ้้ใใงใใ fact3: ไปฎใซใใฎใใกใใใซใLv.30ใไผดใๆใใๅคใใชใใใฎใฝใซใฝใกใLv.94ใฏๅคใใชใ fact4: ใใใใฎใใใใญLv.46ใ็ใใใจใใใฐใใฎใใใใญLv.46ใฏไธใ้ฃใ fact5: ใใใจใใใขใณในใฟใผใฏใๆใใชใใ็ใใใจใใใใใใฏไธใ้ฃใใชใ ; $hypothesis$ = ใใใฎใใใใญLv.46ใฏไธใ้ฃใใชใใใจใใใใจใฏไบๅฎใงใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{cl} fact2: (x): ยฌ{D}x -> ยฌ({C}x & ยฌ{A}x) fact3: ({F}{c} & {D}{c}) -> ยฌ{D}{b} fact4: {A}{a} -> {B}{a} fact5: (x): (ยฌ{C}x & {A}x) -> ยฌ{B}x ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ๅฝใใๆใใจใใใใจใฏ็บ็ใใชใ | ยฌ{A} | fact1: ๅฝใใๆใใจใใใใจใ็ใใ | fact1: {A} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ๅฝใใๆใใจใใใใจใ็ใใ ; $hypothesis$ = ๅฝใใๆใใจใใใใจใฏ็บ็ใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} ; $hypothesis$ = ยฌ{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎใฝใใฝใLv.82ใฏๆผใใ้ฃใใชใใใใฉๆง่ฏใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ(ยฌ{AA}{a} & {AB}{a}) | fact1: ใใใฎใฝใใฝใLv.82ใฏๆผใใ้ฃใใฆๅ ใใฆๆง่ฏใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใฎใฝใใฝใLv.82ใฏๆใใใใชใใจใใใใใใฎใฝใใฝใLv.82ใฏๆผใใ้ฃใใชใใใใฉๆง่ฏใใใจใใใใจใฏๆใ็ซใใชใ fact3: ใใฎใฝใใฝใLv.82ใฏๆใใใใชใ fact4: ใใไปฎใซไฝใใใฎใขใณในใฟใผใฏๆชใใใชใใชใใใใใฏ็ญใใชใใ้ๅฐๅๅฟใใใใจใใใใจใฏ่ชคใฃใฆใใ fact5: ใใไปฎใซใใฎใดใซใใดใซLv.38ใฏ็ใ ใใชใใจใใใจใๆผใใ้ฃใใชใใฆใใใซใใใฏ็ใใใพใใใใจใใใใจใฏๆใ็ซใใชใ | fact1: ยฌ({AA}{a} & {AB}{a}) fact2: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{a} & {AB}{a}) fact3: ยฌ{A}{a} fact4: (x): ยฌ{D}x -> ยฌ(ยฌ{BS}x & {AJ}x) fact5: ยฌ{EA}{hb} -> ยฌ(ยฌ{AA}{hb} & {FP}{hb}) | [
"fact2 & fact3 -> hypothesis;"
] | [
"fact2 & fact3 -> hypothesis;"
] | ใใไปฎใซใใฎใใใใLv.96ใฏๆชใใใจใใใใจใฏใชใใจใใใฐใใใฎใใใใLv.96ใฏ็ญใใชใไธๆนใง้ๅฐๅๅฟใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ | ยฌ{D}{bc} -> ยฌ(ยฌ{BS}{bc} & {AJ}{bc}) | [
"fact6 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ใใใฎใฝใใฝใLv.82ใฏๆผใใ้ฃใใฆๅ ใใฆๆง่ฏใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใฎใฝใใฝใLv.82ใฏๆใใใใชใใจใใใใใใฎใฝใใฝใLv.82ใฏๆผใใ้ฃใใชใใใใฉๆง่ฏใใใจใใใใจใฏๆใ็ซใใชใ fact3: ใใฎใฝใใฝใLv.82ใฏๆใใใใชใ fact4: ใใไปฎใซไฝใใใฎใขใณในใฟใผใฏๆชใใใชใใชใใใใใฏ็ญใใชใใ้ๅฐๅๅฟใใใใจใใใใจใฏ่ชคใฃใฆใใ fact5: ใใไปฎใซใใฎใดใซใใดใซLv.38ใฏ็ใ ใใชใใจใใใจใๆผใใ้ฃใใชใใฆใใใซใใใฏ็ใใใพใใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใใฎใฝใใฝใLv.82ใฏๆผใใ้ฃใใชใใใใฉๆง่ฏใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | fact2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ({AA}{a} & {AB}{a}) fact2: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{a} & {AB}{a}) fact3: ยฌ{A}{a} fact4: (x): ยฌ{D}x -> ยฌ(ยฌ{BS}x & {AJ}x) fact5: ยฌ{EA}{hb} -> ยฌ(ยฌ{AA}{hb} & {FP}{hb}) ; $hypothesis$ = ยฌ(ยฌ{AA}{a} & {AB}{a}) ; $proof$ = | fact2 & fact3 -> hypothesis; __PROVED__ |
0.3 | ๆซๆใใใใจใใใใจใ็บ็ใใ | {B} | fact1: ไปฎใซ้ขไผๅบๆฅใใใจใ็บ็ใใใจใใใฐๅฐป่พผใฟใใใใจใฏ็บ็ใใ fact2: ใใใๆซๆใใใใจใใใใจใฏ่ตทใใชใใจใใใจๆ่ใใจใใใใจใ็ใใใใใฎไธใฟใกใใฟใLv.26ไบไปถใ็ใใ fact3: ใใไปฎใซๅฐป่พผใฟใใใใจใ่ตทใใใชใๆซๆใใใใจใใใใจใฏ็บ็ใใชใใฆใใฎไธ้่ฟใใจใใใใจใฏ็ใใชใ fact4: ใฟใกใใฟใLv.26ไบไปถใจๆซๆใใใใจใใใใจใ็บ็ใใ fact5: ใใใใญLv.16ไบไปถใ่ตทใใ fact6: ใ้่ฟใใจใใใใจใ็บ็ใใใใจใใใใจใฏใๆซๆใใใใจใใใใจใฏ็ใใชใใใพใใฟใกใใฟใLv.26ไบไปถใฏ่ตทใใชใใใจใใใใจใใใใใ | fact1: {E} -> {D} fact2: ยฌ{B} -> ({CA} & {A}) fact3: {D} -> (ยฌ{B} & ยฌ{C}) fact4: ({A} & {B}) fact5: {EO} fact6: {C} -> (ยฌ{B} & ยฌ{A}) | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ๆ่ใใจใใใใจใ่ตทใใ | {CA} | [] | 8 | 1 | 1 | 1 | 1 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ไปฎใซ้ขไผๅบๆฅใใใจใ็บ็ใใใจใใใฐๅฐป่พผใฟใใใใจใฏ็บ็ใใ fact2: ใใใๆซๆใใใใจใใใใจใฏ่ตทใใชใใจใใใจๆ่ใใจใใใใจใ็ใใใใใฎไธใฟใกใใฟใLv.26ไบไปถใ็ใใ fact3: ใใไปฎใซๅฐป่พผใฟใใใใจใ่ตทใใใชใๆซๆใใใใจใใใใจใฏ็บ็ใใชใใฆใใฎไธ้่ฟใใจใใใใจใฏ็ใใชใ fact4: ใฟใกใใฟใLv.26ไบไปถใจๆซๆใใใใจใใใใจใ็บ็ใใ fact5: ใใใใญLv.16ไบไปถใ่ตทใใ fact6: ใ้่ฟใใจใใใใจใ็บ็ใใใใจใใใใจใฏใๆซๆใใใใจใใใใจใฏ็ใใชใใใพใใฟใกใใฟใLv.26ไบไปถใฏ่ตทใใชใใใจใใใใจใใใใใ ; $hypothesis$ = ๆซๆใใใใจใใใใจใ็บ็ใใ ; $proof$ = | fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {E} -> {D} fact2: ยฌ{B} -> ({CA} & {A}) fact3: {D} -> (ยฌ{B} & ยฌ{C}) fact4: ({A} & {B}) fact5: {EO} fact6: {C} -> (ยฌ{B} & ยฌ{A}) ; $hypothesis$ = {B} ; $proof$ = | fact4 -> hypothesis; __PROVED__ |
0.3 | ใใฎใฟใซใ
ใฟใLv.61ใฏ็ใฟๆใใจใใใใจใฏใชใ | ยฌ{B}{a} | fact1: ๆใใขใณในใฟใผใใจใใใจใใใ็ใฟๆใใจใใใใจใฏใชใ fact2: ใใฎใฟใซใ
ใฟใLv.61ใฏใจใใใฆใใคใใใฏ็ใฟๆใ fact3: ใใฎใฟใซใ
ใฟใLv.61ใฏใจใใ | fact1: (x): ({C}x & {A}x) -> ยฌ{B}x fact2: ({A}{a} & {B}{a}) fact3: {A}{a} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใฎใฟใซใ
ใฟใLv.61ใฏ็ใฟๆใใจใใใใจใฏใชใ | ยฌ{B}{a} | [
"fact4 -> int1: ใใใใใฎใฟใซใ
ใฟใLv.61ใๆใใใใใใใใใจใใใจใใใฐ็ใฟๆใใจใใใใจใฏใชใ;"
] | 5 | 1 | 1 | 1 | 1 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ๆใใขใณในใฟใผใใจใใใจใใใ็ใฟๆใใจใใใใจใฏใชใ fact2: ใใฎใฟใซใ
ใฟใLv.61ใฏใจใใใฆใใคใใใฏ็ใฟๆใ fact3: ใใฎใฟใซใ
ใฟใLv.61ใฏใจใใ ; $hypothesis$ = ใใฎใฟใซใ
ใฟใLv.61ใฏ็ใฟๆใใจใใใใจใฏใชใ ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ({C}x & {A}x) -> ยฌ{B}x fact2: ({A}{a} & {B}{a}) fact3: {A}{a} ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใพใใพใกใ
Lv.54ใฏ็ด
ๆฝฎใใชใ | ยฌ{A}{a} | fact1: ใใฎใพใใพใกใ
Lv.54ใฏ็ด
ๆฝฎใใใใใพใใซ้ใใๆใ | fact1: ({A}{a} & {B}{a}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใฎใพใใพใกใ
Lv.54ใฏ็ด
ๆฝฎใใใใใพใใซ้ใใๆใ ; $hypothesis$ = ใใฎใพใใพใกใ
Lv.54ใฏ็ด
ๆฝฎใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใๆฅใใใใใจใใใใจใจ่ตทใ้ฃใใจใใใใจใ็ใใใใจใใใใจใฏๅใงใใ | ยฌ({A} & {B}) | fact1: ๆบใใใชใใจใใใใจใ่ตทใใ fact2: ่ฃ
ใใใจใ่ตทใใ fact3: ่ตทใ้ฃใใจใใใใจใ็บ็ใใ fact4: ใใไปฎใซ้ ใไฝใใใจใฏ่ตทใใชใใจใใใจใๆฅใใใใใจใใใใจใจ่ตทใ้ฃใใจใใใใจใฉใกใใใ็บ็ใใใใจใใใใจใฏ้้ใใงใใ fact5: ๆฅใใใใใจใใใใจใ่ตทใใ fact6: ็ใ
ใใใจใใใใจใ็บ็ใใ | fact1: {BN} fact2: {EI} fact3: {B} fact4: ยฌ{C} -> ยฌ({A} & {B}) fact5: {A} fact6: {IH} | [
"fact5 & fact3 -> hypothesis;"
] | [
"fact5 & fact3 -> hypothesis;"
] | ใๆฅใใใใใจใใใใจใจ่ตทใ้ฃใใจใใใใจใ็ใใใใจใใใใจใฏๅใงใใ | ยฌ({A} & {B}) | [] | 6 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ๆบใใใชใใจใใใใจใ่ตทใใ fact2: ่ฃ
ใใใจใ่ตทใใ fact3: ่ตทใ้ฃใใจใใใใจใ็บ็ใใ fact4: ใใไปฎใซ้ ใไฝใใใจใฏ่ตทใใชใใจใใใจใๆฅใใใใใจใใใใจใจ่ตทใ้ฃใใจใใใใจใฉใกใใใ็บ็ใใใใจใใใใจใฏ้้ใใงใใ fact5: ๆฅใใใใใจใใใใจใ่ตทใใ fact6: ็ใ
ใใใจใใใใจใ็บ็ใใ ; $hypothesis$ = ใๆฅใใใใใจใใใใจใจ่ตทใ้ฃใใจใใใใจใ็ใใใใจใใใใจใฏๅใงใใ ; $proof$ = | fact5 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {BN} fact2: {EI} fact3: {B} fact4: ยฌ{C} -> ยฌ({A} & {B}) fact5: {A} fact6: {IH} ; $hypothesis$ = ยฌ({A} & {B}) ; $proof$ = | fact5 & fact3 -> hypothesis; __DISPROVED__ |
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