TSTP Solution File: GRP540-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP540-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : Sat Jul 16 10:30:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP540-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 12:43:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  27575: Facts:
% 0.12/0.34  27575:  Id :   2, {_}:
% 0.12/0.34            divide (divide ?2 ?3) (divide (divide ?2 ?4) ?3) =>= ?4
% 0.12/0.34            [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34  27575:  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  27575:  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  27575:  Id :   5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.12/0.34  27575: Goal:
% 0.12/0.34  27575:  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.20/0.42  Statistics :
% 0.20/0.42  Max weight : 14
% 0.20/0.42  Found proof, 0.078364s
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.42  Id :   5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.20/0.42  Id :   4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.20/0.42  Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.20/0.42  Id :   2, {_}: divide (divide ?2 ?3) (divide (divide ?2 ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.42  Id :  14, {_}: multiply (divide ?50 ?51) ?51 =>= ?50 [51, 50] by Super 2 with 3 at 2
% 0.20/0.42  Id :  23, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.20/0.42  Id :  24, {_}: multiply (divide ?77 ?77) ?78 =>= inverse (inverse ?78) [78, 77] by Super 23 with 4 at 3
% 0.20/0.42  Id : 100, {_}: multiply identity ?78 =>= inverse (inverse ?78) [78] by Demod 24 with 5 at 1,2
% 0.20/0.42  Id :  78, {_}: multiply (divide ?156 ?157) ?157 =>= ?156 [157, 156] by Super 2 with 3 at 2
% 0.20/0.42  Id :  80, {_}: multiply identity ?163 =>= ?163 [163] by Super 78 with 5 at 1,2
% 0.20/0.42  Id : 101, {_}: ?78 =<= inverse (inverse ?78) [78] by Demod 100 with 80 at 2
% 0.20/0.42  Id :  28, {_}: inverse (divide (divide ?91 ?92) ?91) =>= ?92 [92, 91] by Super 2 with 4 at 2
% 0.20/0.42  Id : 165, {_}: divide (divide ?274 ?275) ?274 =>= inverse ?275 [275, 274] by Super 101 with 28 at 1,3
% 0.20/0.42  Id : 272, {_}: multiply (inverse ?412) ?413 =>= divide ?413 ?412 [413, 412] by Super 14 with 165 at 1,2
% 0.20/0.42  Id : 274, {_}: multiply ?417 ?418 =<= divide ?418 (inverse ?417) [418, 417] by Super 272 with 101 at 1,2
% 0.20/0.42  Id : 282, {_}: multiply ?417 ?418 =?= multiply ?418 ?417 [418, 417] by Demod 274 with 23 at 3
% 0.20/0.42  Id : 1581, {_}: multiply a b === multiply a b [] by Demod 1 with 282 at 3
% 0.20/0.42  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.20/0.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42  27578: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.079512 using nrkbo
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