TSTP Solution File: GRP538-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n026.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 10:30:41 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% 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  : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 15:14:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  29026: Facts:
% 0.13/0.34  29026:  Id :   2, {_}:
% 0.13/0.34            divide (divide ?2 ?3) (divide (divide ?2 ?4) ?3) =>= ?4
% 0.13/0.34            [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34  29026:  Id :   3, {_}:
% 0.13/0.34            multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.13/0.34            [8, 7, 6] by multiply ?6 ?7 ?8
% 0.13/0.34  29026:  Id :   4, {_}:
% 0.13/0.34            inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.13/0.34            [11, 10] by inverse ?10 ?11
% 0.13/0.34  29026:  Id :   5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.13/0.34  29026: Goal:
% 0.13/0.34  29026:  Id :   1, {_}:
% 0.13/0.34            multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.13/0.34            [] by prove_these_axioms_2
% 0.13/0.34  Statistics :
% 0.13/0.34  Max weight : 14
% 0.13/0.34  Found proof, 0.004523s
% 0.13/0.34  % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.34  % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.34  Id :   2, {_}: divide (divide ?2 ?3) (divide (divide ?2 ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34  Id :   5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.13/0.34  Id :   4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.13/0.34  Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.13/0.34  Id :  23, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.13/0.34  Id :  40, {_}: multiply (inverse ?112) ?112 =>= identity [112] by Super 23 with 5 at 3
% 0.13/0.34  Id :  79, {_}: multiply (divide ?156 ?157) ?157 =>= ?156 [157, 156] by Super 2 with 3 at 2
% 0.13/0.34  Id :  81, {_}: multiply identity ?163 =>= ?163 [163] by Super 79 with 5 at 1,2
% 0.13/0.34  Id :  92, {_}: a2 === a2 [] by Demod 91 with 81 at 2
% 0.13/0.34  Id :  91, {_}: multiply identity a2 =>= a2 [] by Demod 1 with 40 at 1,2
% 0.13/0.34  Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.13/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.34  29029: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.005438 using nrkbo
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