TSTP Solution File: GRP600-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP600-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n005.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 : Sat Jul 16 10:30:56 EDT 2022
% Result : Unsatisfiable 1.17s 0.58s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP600-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.32 % Computer : n005.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jun 13 10:49:09 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.32 19159: Facts:
% 0.13/0.32 19159: Id : 2, {_}:
% 0.13/0.32 double_divide (double_divide ?2 ?3)
% 0.13/0.32 (inverse
% 0.13/0.32 (double_divide ?2 (inverse (double_divide (inverse ?4) ?3))))
% 0.13/0.32 =>=
% 0.13/0.32 ?4
% 0.13/0.32 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.32 19159: Id : 3, {_}:
% 0.13/0.32 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.13/0.32 [7, 6] by multiply ?6 ?7
% 0.13/0.32 19159: Goal:
% 0.13/0.32 19159: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 1.17/0.58 Statistics :
% 1.17/0.58 Max weight : 27
% 1.17/0.58 Found proof, 0.261880s
% 1.17/0.58 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/0.58 % SZS output start CNFRefutation for theBenchmark.p
% 1.17/0.58 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 1.17/0.58 Id : 2, {_}: double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse (double_divide (inverse ?4) ?3)))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 1.17/0.58 Id : 11, {_}: multiply ?29 ?30 =<= inverse (double_divide ?30 ?29) [30, 29] by multiply ?29 ?30
% 1.17/0.58 Id : 8, {_}: double_divide (double_divide ?2 ?3) (multiply (inverse (double_divide (inverse ?4) ?3)) ?2) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 1.17/0.59 Id : 9, {_}: double_divide (double_divide ?2 ?3) (multiply (multiply ?3 (inverse ?4)) ?2) =>= ?4 [4, 3, 2] by Demod 8 with 3 at 1,2,2
% 1.17/0.59 Id : 15, {_}: multiply (multiply (multiply ?43 (inverse ?44)) ?45) (double_divide ?45 ?43) =>= inverse ?44 [45, 44, 43] by Super 11 with 9 at 1,3
% 1.17/0.59 Id : 243, {_}: multiply (multiply (multiply (multiply (multiply ?758 (inverse ?759)) ?760) (inverse ?761)) (double_divide ?760 ?758)) ?759 =>= inverse ?761 [761, 760, 759, 758] by Super 15 with 9 at 2,2
% 1.17/0.59 Id : 16, {_}: multiply (multiply (multiply (multiply (multiply ?47 (inverse ?48)) ?49) (inverse ?50)) (double_divide ?49 ?47)) ?48 =>= inverse ?50 [50, 49, 48, 47] by Super 15 with 9 at 2,2
% 1.17/0.59 Id : 255, {_}: multiply (multiply (inverse ?832) (double_divide (double_divide ?833 ?834) (multiply (multiply ?834 (inverse (inverse ?835))) ?833))) ?832 =>= inverse ?835 [835, 834, 833, 832] by Super 243 with 16 at 1,1,2
% 1.17/0.59 Id : 272, {_}: multiply (multiply (inverse ?832) (inverse ?835)) ?832 =>= inverse ?835 [835, 832] by Demod 255 with 9 at 2,1,2
% 1.17/0.59 Id : 24, {_}: double_divide (double_divide ?80 ?81) (multiply (multiply ?81 (multiply ?82 ?83)) ?80) =>= double_divide ?83 ?82 [83, 82, 81, 80] by Super 9 with 3 at 2,1,2,2
% 1.17/0.59 Id : 12, {_}: multiply (multiply (multiply ?32 (inverse ?33)) ?34) (double_divide ?34 ?32) =>= inverse ?33 [34, 33, 32] by Super 11 with 9 at 1,3
% 1.17/0.59 Id : 26, {_}: double_divide (double_divide (double_divide (multiply ?91 ?92) ?93) (multiply ?93 (inverse ?94))) (inverse ?94) =>= double_divide ?92 ?91 [94, 93, 92, 91] by Super 24 with 12 at 2,2
% 1.17/0.59 Id : 289, {_}: double_divide (double_divide (double_divide (inverse ?911) ?912) (multiply ?912 (inverse ?913))) (inverse ?913) =?= double_divide ?914 (multiply (inverse ?914) (inverse ?911)) [914, 913, 912, 911] by Super 26 with 272 at 1,1,1,2
% 1.17/0.59 Id : 14, {_}: double_divide (double_divide (double_divide (inverse ?39) ?40) (multiply ?40 (inverse ?41))) (inverse ?41) =>= ?39 [41, 40, 39] by Super 9 with 12 at 2,2
% 1.17/0.59 Id : 303, {_}: ?911 =<= double_divide ?914 (multiply (inverse ?914) (inverse ?911)) [914, 911] by Demod 289 with 14 at 2
% 1.17/0.59 Id : 322, {_}: multiply (inverse ?993) (double_divide ?994 (inverse ?994)) =>= inverse ?993 [994, 993] by Super 12 with 272 at 1,2
% 1.17/0.59 Id : 324, {_}: multiply (multiply ?1000 ?1001) (double_divide ?1002 (inverse ?1002)) =>= inverse (double_divide ?1001 ?1000) [1002, 1001, 1000] by Super 322 with 3 at 1,2
% 1.17/0.59 Id : 340, {_}: multiply (multiply ?1000 ?1001) (double_divide ?1002 (inverse ?1002)) =>= multiply ?1000 ?1001 [1002, 1001, 1000] by Demod 324 with 3 at 3
% 1.17/0.59 Id : 458, {_}: multiply (inverse (double_divide ?1382 (inverse ?1382))) (inverse ?1383) =>= inverse ?1383 [1383, 1382] by Super 272 with 340 at 2
% 1.17/0.59 Id : 483, {_}: multiply (multiply (inverse ?1382) ?1382) (inverse ?1383) =>= inverse ?1383 [1383, 1382] by Demod 458 with 3 at 1,2
% 1.17/0.59 Id : 546, {_}: double_divide (double_divide (double_divide (inverse ?1552) ?1553) (multiply ?1553 (inverse ?1554))) (inverse ?1554) =?= double_divide (inverse ?1552) (multiply (inverse ?1555) ?1555) [1555, 1554, 1553, 1552] by Super 26 with 483 at 1,1,1,2
% 1.17/0.59 Id : 564, {_}: ?1552 =<= double_divide (inverse ?1552) (multiply (inverse ?1555) ?1555) [1555, 1552] by Demod 546 with 14 at 2
% 1.17/0.59 Id : 587, {_}: multiply (multiply (multiply (multiply (inverse ?1626) ?1626) (inverse ?1627)) (inverse ?1628)) ?1628 =>= inverse ?1627 [1628, 1627, 1626] by Super 12 with 564 at 2,2
% 1.17/0.59 Id : 598, {_}: multiply (multiply (inverse ?1627) (inverse ?1628)) ?1628 =>= inverse ?1627 [1628, 1627] by Demod 587 with 483 at 1,1,2
% 1.17/0.59 Id : 650, {_}: inverse (inverse (inverse ?1834)) =>= inverse ?1834 [1834] by Super 483 with 598 at 2
% 1.17/0.59 Id : 711, {_}: inverse (inverse ?1975) =<= double_divide (inverse ?1975) (multiply (inverse ?1976) ?1976) [1976, 1975] by Super 564 with 650 at 1,3
% 1.17/0.59 Id : 721, {_}: inverse (inverse ?1975) =>= ?1975 [1975] by Demod 711 with 564 at 3
% 1.17/0.59 Id : 1073, {_}: inverse ?2704 =<= double_divide ?2705 (multiply (inverse ?2705) ?2704) [2705, 2704] by Super 303 with 721 at 2,2,3
% 1.17/0.59 Id : 588, {_}: double_divide (double_divide ?1630 (multiply (multiply (inverse ?1631) ?1631) (inverse ?1632))) (inverse ?1632) =>= ?1630 [1632, 1631, 1630] by Super 14 with 564 at 1,1,2
% 1.17/0.59 Id : 597, {_}: double_divide (double_divide ?1630 (inverse ?1632)) (inverse ?1632) =>= ?1630 [1632, 1630] by Demod 588 with 483 at 2,1,2
% 1.17/0.59 Id : 795, {_}: double_divide (double_divide ?2117 (inverse (inverse ?2118))) ?2118 =>= ?2117 [2118, 2117] by Super 597 with 721 at 2,2
% 1.17/0.59 Id : 801, {_}: double_divide (double_divide ?2117 ?2118) ?2118 =>= ?2117 [2118, 2117] by Demod 795 with 721 at 2,1,2
% 1.17/0.59 Id : 826, {_}: multiply ?2147 (double_divide ?2148 ?2147) =>= inverse ?2148 [2148, 2147] by Super 3 with 801 at 1,3
% 1.17/0.59 Id : 1080, {_}: inverse (double_divide ?2730 (inverse ?2731)) =>= double_divide ?2731 (inverse ?2730) [2731, 2730] by Super 1073 with 826 at 2,3
% 1.17/0.59 Id : 1120, {_}: multiply (inverse ?2800) ?2801 =<= double_divide ?2800 (inverse ?2801) [2801, 2800] by Demod 1080 with 3 at 2
% 1.17/0.59 Id : 1121, {_}: multiply (inverse ?2803) (inverse ?2804) =>= double_divide ?2803 ?2804 [2804, 2803] by Super 1120 with 721 at 2,3
% 1.17/0.59 Id : 1139, {_}: multiply (double_divide ?832 ?835) ?832 =>= inverse ?835 [835, 832] by Demod 272 with 1121 at 1,2
% 1.17/0.59 Id : 768, {_}: inverse ?2011 =<= double_divide ?2012 (multiply (inverse ?2012) ?2011) [2012, 2011] by Super 303 with 721 at 2,2,3
% 1.17/0.59 Id : 1158, {_}: inverse (inverse ?2894) =<= double_divide ?2895 (double_divide ?2895 ?2894) [2895, 2894] by Super 768 with 1121 at 2,3
% 1.17/0.59 Id : 1177, {_}: ?2894 =<= double_divide ?2895 (double_divide ?2895 ?2894) [2895, 2894] by Demod 1158 with 721 at 2
% 1.17/0.59 Id : 1257, {_}: double_divide ?3056 (double_divide ?3057 ?3056) =>= ?3057 [3057, 3056] by Super 801 with 1177 at 1,2
% 1.17/0.59 Id : 1298, {_}: multiply ?3158 ?3159 =<= inverse (double_divide ?3158 ?3159) [3159, 3158] by Super 1139 with 1257 at 1,2
% 1.17/0.59 Id : 1315, {_}: multiply ?3158 ?3159 =?= multiply ?3159 ?3158 [3159, 3158] by Demod 1298 with 3 at 3
% 1.17/0.59 Id : 6311, {_}: multiply a b === multiply a b [] by Demod 1 with 1315 at 3
% 1.17/0.59 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 1.17/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.17/0.59 19162: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.26386 using nrkbo
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