TSTP Solution File: LCL114-2 by Matita---1.0
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- Process Solution
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% File : Matita---1.0
% Problem : LCL114-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:42:31 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL114-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 2 17:58:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 29537: Facts:
% 0.11/0.33 29537: Id : 2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
% 0.11/0.33 29537: Id : 3, {_}:
% 0.11/0.33 implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
% 0.11/0.33 =>=
% 0.11/0.33 truth
% 0.11/0.33 [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
% 0.11/0.33 29537: Id : 4, {_}:
% 0.11/0.33 implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
% 0.11/0.33 [9, 8] by wajsberg_3 ?8 ?9
% 0.11/0.33 29537: Id : 5, {_}:
% 0.11/0.33 implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
% 0.11/0.33 [12, 11] by wajsberg_4 ?11 ?12
% 0.11/0.33 29537: Goal:
% 0.11/0.33 29537: Id : 1, {_}:
% 0.11/0.33 implies (implies x y) (implies (not y) (not x)) =>= truth
% 0.11/0.33 [] by prove_mv_36
% 0.18/0.45 Statistics :
% 0.18/0.45 Max weight : 17
% 0.18/0.45 Found proof, 0.123333s
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.45 Id : 5, {_}: implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth [12, 11] by wajsberg_4 ?11 ?12
% 0.18/0.45 Id : 45, {_}: implies (implies (not ?120) (not ?121)) (implies ?121 ?120) =>= truth [121, 120] by wajsberg_4 ?120 ?121
% 0.18/0.45 Id : 27, {_}: implies (implies ?74 ?75) ?75 =?= implies (implies ?75 ?74) ?74 [75, 74] by wajsberg_3 ?74 ?75
% 0.18/0.45 Id : 2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
% 0.18/0.45 Id : 8, {_}: implies (implies ?18 ?19) (implies (implies ?19 ?20) (implies ?18 ?20)) =>= truth [20, 19, 18] by wajsberg_2 ?18 ?19 ?20
% 0.18/0.45 Id : 4, {_}: implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8 [9, 8] by wajsberg_3 ?8 ?9
% 0.18/0.45 Id : 3, {_}: implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6)) =>= truth [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
% 0.18/0.45 Id : 9, {_}: implies (implies truth ?22) (implies (implies ?22 ?23) ?23) =>= truth [23, 22] by Super 8 with 2 at 2,2,2
% 0.18/0.45 Id : 17, {_}: implies ?22 (implies (implies ?22 ?23) ?23) =>= truth [23, 22] by Demod 9 with 2 at 1,2
% 0.18/0.45 Id : 28, {_}: implies (implies ?77 truth) truth =?= implies ?77 ?77 [77] by Super 27 with 2 at 1,3
% 0.18/0.45 Id : 142, {_}: truth =<= implies (implies truth ?235) ?235 [235] by Super 2 with 17 at 2
% 0.18/0.45 Id : 162, {_}: truth =<= implies ?235 ?235 [235] by Demod 142 with 2 at 1,3
% 0.18/0.45 Id : 215, {_}: implies (implies ?77 truth) truth =>= truth [77] by Demod 28 with 162 at 3
% 0.18/0.45 Id : 224, {_}: implies ?322 truth =>= truth [322] by Super 17 with 215 at 2,2
% 0.18/0.45 Id : 275, {_}: implies truth (implies (implies truth ?354) (implies ?355 ?354)) =>= truth [355, 354] by Super 3 with 224 at 1,2
% 0.18/0.45 Id : 305, {_}: implies (implies truth ?354) (implies ?355 ?354) =>= truth [355, 354] by Demod 275 with 2 at 2
% 0.18/0.45 Id : 306, {_}: implies ?354 (implies ?355 ?354) =>= truth [355, 354] by Demod 305 with 2 at 1,2
% 0.18/0.45 Id : 321, {_}: implies truth (implies (implies (implies ?391 ?392) ?393) (implies ?392 ?393)) =>= truth [393, 392, 391] by Super 3 with 306 at 1,2
% 0.18/0.45 Id : 1269, {_}: implies (implies (implies ?1484 ?1485) ?1486) (implies ?1485 ?1486) =>= truth [1486, 1485, 1484] by Demod 321 with 2 at 2
% 0.18/0.45 Id : 46, {_}: implies (implies (not ?123) (not truth)) ?123 =>= truth [123] by Super 45 with 2 at 2,2
% 0.18/0.45 Id : 1322, {_}: implies truth (implies (not truth) ?1668) =>= truth [1668] by Super 1269 with 46 at 1,2
% 0.18/0.45 Id : 1421, {_}: implies (not truth) ?1668 =>= truth [1668] by Demod 1322 with 2 at 2
% 0.18/0.45 Id : 1473, {_}: implies (implies ?1731 (not truth)) (not truth) =>= implies truth ?1731 [1731] by Super 4 with 1421 at 1,3
% 0.18/0.45 Id : 1512, {_}: implies (implies ?1731 (not truth)) (not truth) =>= ?1731 [1731] by Demod 1473 with 2 at 3
% 0.18/0.45 Id : 1537, {_}: implies (implies (not (not truth)) (not (implies ?1785 (not truth)))) ?1785 =>= truth [1785] by Super 5 with 1512 at 2,2
% 0.18/0.45 Id : 317, {_}: implies (implies (implies ?378 ?379) ?379) ?379 =>= implies truth (implies ?378 ?379) [379, 378] by Super 4 with 306 at 1,3
% 0.18/0.45 Id : 376, {_}: implies (implies (implies ?469 ?470) ?470) ?470 =>= implies ?469 ?470 [470, 469] by Demod 317 with 2 at 3
% 0.18/0.45 Id : 469, {_}: implies (implies (implies ?574 ?575) ?575) ?574 =>= implies ?575 ?574 [575, 574] by Super 376 with 4 at 1,2
% 0.18/0.45 Id : 389, {_}: implies truth (not truth) =<= implies (not (not truth)) (not truth) [] by Super 376 with 46 at 1,2
% 0.18/0.45 Id : 426, {_}: not truth =<= implies (not (not truth)) (not truth) [] by Demod 389 with 2 at 2
% 0.18/0.45 Id : 482, {_}: implies (implies (not truth) (not truth)) (not (not truth)) =>= implies (not truth) (not (not truth)) [] by Super 469 with 426 at 1,1,2
% 0.18/0.45 Id : 530, {_}: implies truth (not (not truth)) =<= implies (not truth) (not (not truth)) [] by Demod 482 with 162 at 1,2
% 0.18/0.45 Id : 531, {_}: not (not truth) =<= implies (not truth) (not (not truth)) [] by Demod 530 with 2 at 2
% 0.18/0.45 Id : 1441, {_}: not (not truth) =>= truth [] by Demod 531 with 1421 at 3
% 0.18/0.45 Id : 1583, {_}: implies (implies truth (not (implies ?1785 (not truth)))) ?1785 =>= truth [1785] by Demod 1537 with 1441 at 1,1,2
% 0.18/0.45 Id : 1584, {_}: implies (not (implies ?1785 (not truth))) ?1785 =>= truth [1785] by Demod 1583 with 2 at 1,2
% 0.18/0.45 Id : 1704, {_}: implies truth (implies ?1978 (implies (not ?1978) (not truth))) =>= truth [1978] by Super 5 with 1584 at 1,2
% 0.18/0.45 Id : 1755, {_}: implies ?1978 (implies (not ?1978) (not truth)) =>= truth [1978] by Demod 1704 with 2 at 2
% 0.18/0.45 Id : 1797, {_}: implies (implies (implies (not ?2062) (not truth)) ?2062) ?2062 =>= implies truth (implies (not ?2062) (not truth)) [2062] by Super 4 with 1755 at 1,3
% 0.18/0.45 Id : 1835, {_}: implies truth ?2062 =<= implies truth (implies (not ?2062) (not truth)) [2062] by Demod 1797 with 46 at 1,2
% 0.18/0.45 Id : 1836, {_}: implies truth ?2062 =<= implies (not ?2062) (not truth) [2062] by Demod 1835 with 2 at 3
% 0.18/0.46 Id : 1837, {_}: ?2062 =<= implies (not ?2062) (not truth) [2062] by Demod 1836 with 2 at 2
% 0.18/0.46 Id : 1864, {_}: implies ?2101 (not truth) =>= not ?2101 [2101] by Super 1512 with 1837 at 1,2
% 0.18/0.46 Id : 1929, {_}: implies (implies ?2175 ?2176) (implies (implies ?2176 (not truth)) (not ?2175)) =>= truth [2176, 2175] by Super 3 with 1864 at 2,2,2
% 0.18/0.46 Id : 1984, {_}: implies (implies ?2175 ?2176) (implies (not ?2176) (not ?2175)) =>= truth [2176, 2175] by Demod 1929 with 1864 at 1,2,2
% 0.18/0.46 Id : 3566, {_}: truth === truth [] by Demod 1 with 1984 at 2
% 0.18/0.46 Id : 1, {_}: implies (implies x y) (implies (not y) (not x)) =>= truth [] by prove_mv_36
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.46 29540: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.125305 using nrkbo
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