TSTP Solution File: GRP524-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP524-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n008.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 0.18s 0.44s
% 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
% 0.06/0.12  % Problem  : GRP524-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 10:57:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  10736: Facts:
% 0.12/0.34  10736:  Id :   2, {_}:
% 0.12/0.34            divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4
% 0.12/0.34            [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34  10736:  Id :   3, {_}:
% 0.12/0.34            multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.34            [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.34  10736:  Id :   4, {_}:
% 0.12/0.34            inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.34            [11, 10] by inverse ?10 ?11
% 0.12/0.34  10736: Goal:
% 0.12/0.34  10736:  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.18/0.44  Statistics :
% 0.18/0.44  Max weight : 15
% 0.18/0.44  Found proof, 0.101219s
% 0.18/0.44  % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.44  % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.44  Id :   5, {_}: divide ?13 (divide ?14 (divide ?15 (divide ?13 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.18/0.44  Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.18/0.44  Id :   4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.18/0.44  Id :   2, {_}: divide ?2 (divide ?3 (divide ?4 (divide ?2 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.44  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
% 0.18/0.44  Id :  32, {_}: inverse (divide ?75 (divide ?76 (inverse ?75))) =>= ?76 [76, 75] by Demod 22 with 4 at 2
% 0.18/0.44  Id :  20, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.18/0.44  Id :  33, {_}: inverse (divide ?75 (multiply ?76 ?75)) =>= ?76 [76, 75] by Demod 32 with 20 at 2,1,2
% 0.18/0.44  Id : 167, {_}: divide ?452 (divide (divide ?453 (divide ?454 ?452)) ?453) =>= ?454 [454, 453, 452] by Super 5 with 2 at 2,2,2
% 0.18/0.44  Id : 181, {_}: divide ?513 (inverse (divide ?514 ?513)) =>= ?514 [514, 513] by Super 167 with 4 at 2,2
% 0.18/0.44  Id : 192, {_}: multiply ?513 (divide ?514 ?513) =>= ?514 [514, 513] by Demod 181 with 20 at 2
% 0.18/0.44  Id : 302, {_}: inverse (divide (divide ?750 ?751) ?750) =>= ?751 [751, 750] by Super 33 with 192 at 2,1,2
% 0.18/0.44  Id : 322, {_}: inverse (inverse ?802) =>= ?802 [802] by Super 302 with 4 at 1,2
% 0.18/0.44  Id : 323, {_}: inverse ?804 =<= divide ?805 (multiply ?804 ?805) [805, 804] by Super 322 with 33 at 1,2
% 0.18/0.44  Id : 365, {_}: multiply (multiply ?892 ?893) (inverse ?892) =>= ?893 [893, 892] by Super 192 with 323 at 2,2
% 0.18/0.44  Id : 311, {_}: inverse (inverse ?782) =>= ?782 [782] by Super 302 with 4 at 1,2
% 0.18/0.44  Id : 320, {_}: multiply ?795 (inverse ?796) =>= divide ?795 ?796 [796, 795] by Super 20 with 311 at 2,3
% 0.18/0.44  Id : 697, {_}: divide (multiply ?1456 ?1457) ?1456 =>= ?1457 [1457, 1456] by Demod 365 with 320 at 2
% 0.18/0.44  Id :  21, {_}: multiply (divide ?71 ?71) ?72 =>= inverse (inverse ?72) [72, 71] by Super 20 with 4 at 3
% 0.18/0.44  Id : 316, {_}: multiply (divide ?71 ?71) ?72 =>= ?72 [72, 71] by Demod 21 with 311 at 3
% 0.18/0.44  Id : 699, {_}: divide ?1462 (divide ?1463 ?1463) =>= ?1462 [1463, 1462] by Super 697 with 316 at 1,2
% 0.18/0.44  Id : 380, {_}: divide (multiply ?892 ?893) ?892 =>= ?893 [893, 892] by Demod 365 with 320 at 2
% 0.18/0.44  Id : 690, {_}: divide ?1427 (divide ?1428 ?1429) =>= multiply (divide ?1427 ?1428) ?1429 [1429, 1428, 1427] by Super 2 with 380 at 2,2,2
% 0.18/0.44  Id : 978, {_}: multiply (divide ?1462 ?1463) ?1463 =>= ?1462 [1463, 1462] by Demod 699 with 690 at 2
% 0.18/0.44  Id : 1028, {_}: inverse (divide ?2025 ?2026) =>= divide ?2026 ?2025 [2026, 2025] by Super 323 with 978 at 2,3
% 0.18/0.44  Id : 194, {_}: inverse (divide (divide ?534 ?535) ?534) =>= ?535 [535, 534] by Super 33 with 192 at 2,1,2
% 0.18/0.44  Id : 357, {_}: inverse (divide (inverse ?862) ?863) =>= multiply ?862 ?863 [863, 862] by Super 194 with 323 at 1,1,2
% 0.18/0.44  Id : 470, {_}: inverse (multiply ?1123 ?1124) =<= divide (inverse ?1123) ?1124 [1124, 1123] by Super 311 with 357 at 1,2
% 0.18/0.44  Id : 1036, {_}: inverse (inverse (multiply ?2050 ?2051)) =>= divide ?2051 (inverse ?2050) [2051, 2050] by Super 1028 with 470 at 1,2
% 0.18/0.44  Id : 1055, {_}: multiply ?2050 ?2051 =<= divide ?2051 (inverse ?2050) [2051, 2050] by Demod 1036 with 311 at 2
% 0.18/0.44  Id : 1056, {_}: multiply ?2050 ?2051 =?= multiply ?2051 ?2050 [2051, 2050] by Demod 1055 with 20 at 3
% 0.18/0.44  Id : 2005, {_}: multiply a b === multiply a b [] by Demod 1 with 1056 at 3
% 0.18/0.44  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.18/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.44  10736: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.103842 using nrkbo
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