TSTP Solution File: GRP523-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP523-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n021.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 10:30:38 EDT 2022
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP523-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 09:50:13 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 14212: Facts:
% 0.14/0.36 14212: Id : 2, {_}:
% 0.14/0.36 divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4
% 0.14/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.36 14212: Id : 3, {_}:
% 0.14/0.36 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.14/0.36 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.14/0.36 14212: Id : 4, {_}:
% 0.14/0.36 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.14/0.36 [11, 10] by inverse ?10 ?11
% 0.14/0.36 14212: Goal:
% 0.14/0.36 14212: Id : 1, {_}:
% 0.14/0.36 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.14/0.36 [] by prove_these_axioms_3
% 0.21/0.42 Statistics :
% 0.21/0.42 Max weight : 20
% 0.21/0.42 Found proof, 0.061233s
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.42 Id : 5, {_}: divide ?13 (divide ?14 (divide ?15 (divide ?13 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.21/0.42 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.21/0.42 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.21/0.42 Id : 2, {_}: divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.21/0.42 Id : 9, {_}: divide ?28 (divide (divide (divide ?29 ?29) ?30) (divide ?31 (multiply ?28 ?30))) =>= ?31 [31, 30, 29, 28] by Super 2 with 3 at 2,2,2,2
% 0.21/0.42 Id : 229, {_}: divide ?28 (divide (inverse ?30) (divide ?31 (multiply ?28 ?30))) =>= ?31 [31, 30, 28] by Demod 9 with 4 at 1,2,2
% 0.21/0.42 Id : 20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.21/0.42 Id : 22, {_}: divide (divide ?74 ?74) (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75, 74] by Super 2 with 4 at 2,2,2,2
% 0.21/0.42 Id : 32, {_}: inverse (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75] by Demod 22 with 4 at 2
% 0.21/0.42 Statistics :
% 0.21/0.42 Max weight : 20
% 0.21/0.42 Id : 33, {_}: inverse (divide ?75 (multiply ?76 ?75)) =>= ?76 [76, 75] by Demod 32 with 20 at 2,1,2
% 0.21/0.42 Found proof, 0.061988s
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.42 Id : 167, {_}: divide ?452 (divide (divide ?453 (divide ?454 ?452)) ?453) =>= ?454 [454, 453, 452] by Super 5 with 2 at 2,2,2
% 0.21/0.42 Id : 181, {_}: divide ?513 (inverse (divide ?514 ?513)) =>= ?514 [514, 513] by Super 167 with 4 at 2,2
% 0.21/0.42 Id : 5, {_}: divide ?13 (divide ?14 (divide ?15 (divide ?13 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.21/0.42 Id : 192, {_}: multiply ?513 (divide ?514 ?513) =>= ?514 [514, 513] by Demod 181 with 20 at 2
% 0.21/0.42 Id : 302, {_}: inverse (divide (divide ?750 ?751) ?750) =>= ?751 [751, 750] by Super 33 with 192 at 2,1,2
% 0.21/0.42 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.21/0.42 Id : 311, {_}: inverse (inverse ?782) =>= ?782 [782] by Super 302 with 4 at 1,2
% 0.21/0.42 Id : 320, {_}: multiply ?795 (inverse ?796) =<= divide ?795 ?796 [796, 795] by Super 20 with 311 at 2,3
% 0.21/0.42 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.21/0.42 Id : 2, {_}: divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.21/0.42 Id : 352, {_}: multiply ?28 (inverse (divide (inverse ?30) (divide ?31 (multiply ?28 ?30)))) =>= ?31 [31, 30, 28] by Demod 229 with 320 at 2
% 0.21/0.42 Id : 353, {_}: multiply ?28 (inverse (multiply (inverse ?30) (inverse (divide ?31 (multiply ?28 ?30))))) =>= ?31 [31, 30, 28] by Demod 352 with 320 at 1,2,2
% 0.21/0.42 Id : 9, {_}: divide ?28 (divide (divide (divide ?29 ?29) ?30) (divide ?31 (multiply ?28 ?30))) =>= ?31 [31, 30, 29, 28] by Super 2 with 3 at 2,2,2,2
% 0.21/0.42 Id : 229, {_}: divide ?28 (divide (inverse ?30) (divide ?31 (multiply ?28 ?30))) =>= ?31 [31, 30, 28] by Demod 9 with 4 at 1,2,2
% 0.21/0.42 Id : 354, {_}: multiply ?28 (inverse (multiply (inverse ?30) (inverse (multiply ?31 (inverse (multiply ?28 ?30)))))) =>= ?31 [31, 30, 28] by Demod 353 with 320 at 1,2,1,2,2
% 0.21/0.42 Id : 22, {_}: divide (divide ?74 ?74) (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75, 74] by Super 2 with 4 at 2,2,2,2
% 0.21/0.42 Id : 322, {_}: inverse (inverse ?802) =>= ?802 [802] by Super 302 with 4 at 1,2
% 0.21/0.42 Id : 32, {_}: inverse (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75] by Demod 22 with 4 at 2
% 0.21/0.42 Id : 323, {_}: inverse ?804 =<= divide ?805 (multiply ?804 ?805) [805, 804] by Super 322 with 33 at 1,2
% 0.21/0.42 Id : 20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.21/0.42 Id : 380, {_}: inverse ?867 =<= multiply ?868 (inverse (multiply ?867 ?868)) [868, 867] by Demod 323 with 320 at 3
% 0.21/0.42 Id : 194, {_}: inverse (divide (divide ?534 ?535) ?534) =>= ?535 [535, 534] by Super 33 with 192 at 2,1,2
% 0.21/0.42 Id : 33, {_}: inverse (divide ?75 (multiply ?76 ?75)) =>= ?76 [76, 75] by Demod 32 with 20 at 2,1,2
% 0.21/0.42 Id : 328, {_}: inverse (multiply (divide ?534 ?535) (inverse ?534)) =>= ?535 [535, 534] by Demod 194 with 320 at 1,2
% 0.21/0.42 Id : 167, {_}: divide ?452 (divide (divide ?453 (divide ?454 ?452)) ?453) =>= ?454 [454, 453, 452] by Super 5 with 2 at 2,2,2
% 0.21/0.42 Id : 181, {_}: divide ?513 (inverse (divide ?514 ?513)) =>= ?514 [514, 513] by Super 167 with 4 at 2,2
% 0.21/0.42 Id : 329, {_}: inverse (multiply (multiply ?534 (inverse ?535)) (inverse ?534)) =>= ?535 [535, 534] by Demod 328 with 320 at 1,1,2
% 0.21/0.42 Id : 192, {_}: multiply ?513 (divide ?514 ?513) =>= ?514 [514, 513] by Demod 181 with 20 at 2
% 0.21/0.42 Id : 389, {_}: inverse (multiply ?898 (inverse ?899)) =<= multiply (inverse ?898) ?899 [899, 898] by Super 380 with 329 at 2,3
% 0.21/0.42 Id : 302, {_}: inverse (divide (divide ?750 ?751) ?750) =>= ?751 [751, 750] by Super 33 with 192 at 2,1,2
% 0.21/0.42 Id : 311, {_}: inverse (inverse ?782) =>= ?782 [782] by Super 302 with 4 at 1,2
% 0.21/0.42 Id : 194, {_}: inverse (divide (divide ?534 ?535) ?534) =>= ?535 [535, 534] by Super 33 with 192 at 2,1,2
% 0.21/0.42 Id : 322, {_}: inverse (inverse ?802) =>= ?802 [802] by Super 302 with 4 at 1,2
% 0.21/0.42 Id : 479, {_}: multiply ?28 (inverse (inverse (multiply ?30 (inverse (inverse (multiply ?31 (inverse (multiply ?28 ?30)))))))) =>= ?31 [31, 30, 28] by Demod 354 with 389 at 1,2,2
% 0.21/0.42 Id : 323, {_}: inverse ?804 =<= divide ?805 (multiply ?804 ?805) [805, 804] by Super 322 with 33 at 1,2
% 0.21/0.42 Id : 484, {_}: multiply ?28 (multiply ?30 (inverse (inverse (multiply ?31 (inverse (multiply ?28 ?30)))))) =>= ?31 [31, 30, 28] by Demod 479 with 311 at 2,2
% 0.21/0.42 Id : 357, {_}: inverse (divide (inverse ?862) ?863) =>= multiply ?862 ?863 [863, 862] by Super 194 with 323 at 1,1,2
% 0.21/0.42 Id : 485, {_}: multiply ?28 (multiply ?30 (multiply ?31 (inverse (multiply ?28 ?30)))) =>= ?31 [31, 30, 28] by Demod 484 with 311 at 2,2,2
% 0.21/0.42 Id : 351, {_}: multiply ?513 (multiply ?514 (inverse ?513)) =>= ?514 [514, 513] by Demod 192 with 320 at 2,2
% 0.21/0.42 Id : 470, {_}: inverse (multiply ?1123 ?1124) =<= divide (inverse ?1123) ?1124 [1124, 1123] by Super 311 with 357 at 1,2
% 0.21/0.42 Id : 499, {_}: divide ?28 (inverse (multiply ?30 (divide ?31 (multiply ?28 ?30)))) =>= ?31 [31, 30, 28] by Demod 229 with 470 at 2,2
% 0.21/0.42 Id : 364, {_}: inverse ?804 =<= multiply ?805 (inverse (multiply ?804 ?805)) [805, 804] by Demod 323 with 320 at 3
% 0.21/0.42 Id : 502, {_}: multiply ?28 (multiply ?30 (divide ?31 (multiply ?28 ?30))) =>= ?31 [31, 30, 28] by Demod 499 with 20 at 2
% 0.21/0.42 Id : 374, {_}: multiply (multiply ?843 ?844) (inverse ?843) =>= ?844 [844, 843] by Super 351 with 364 at 2,2
% 0.21/0.42 Id : 365, {_}: multiply (multiply ?892 ?893) (inverse ?892) =>= ?893 [893, 892] by Super 192 with 323 at 2,2
% 0.21/0.42 Id : 739, {_}: multiply ?1446 (multiply ?1447 ?1448) =<= multiply (multiply ?1446 ?1447) ?1448 [1448, 1447, 1446] by Super 485 with 374 at 2,2,2
% 0.21/0.42 Id : 320, {_}: multiply ?795 (inverse ?796) =>= divide ?795 ?796 [796, 795] by Super 20 with 311 at 2,3
% 0.21/0.42 Id : 898, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 739 at 2
% 0.21/0.42 Id : 380, {_}: divide (multiply ?892 ?893) ?892 =>= ?893 [893, 892] by Demod 365 with 320 at 2
% 0.21/0.42 Id : 695, {_}: multiply ?1449 (multiply ?1450 ?1451) =<= multiply (multiply ?1449 ?1450) ?1451 [1451, 1450, 1449] by Super 502 with 380 at 2,2,2
% 0.21/0.42 Id : 1115, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 695 at 2
% 0.21/0.42 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.21/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.42 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.21/0.42 14214: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.063585 using lpo
% 0.21/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.42 14213: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.063675 using kbo
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