TSTP Solution File: GRP526-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP526-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : 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 10:30:38 EDT 2022

% Result   : Unsatisfiable 0.18s 0.34s
% 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
% 0.00/0.12  % Problem  : GRP526-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n023.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 : Tue Jun 14 09:50:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  15578: Facts:
% 0.12/0.34  15578:  Id :   2, {_}:
% 0.12/0.34            divide ?2 (divide (divide ?2 ?3) (divide ?4 ?3)) =>= ?4
% 0.12/0.34            [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34  15578:  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  15578:  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  15578: Goal:
% 0.12/0.34  15578:  Id :   1, {_}:
% 0.12/0.34            multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34            [] by prove_these_axioms_2
% 0.18/0.34  Statistics :
% 0.18/0.34  Max weight : 14
% 0.18/0.34  Found proof, 0.007423s
% 0.18/0.34  % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.34  % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.34  Id :   2, {_}: divide ?2 (divide (divide ?2 ?3) (divide ?4 ?3)) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.34  Id :   4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.18/0.34  Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.18/0.34  Id :  22, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.18/0.34  Id :  46, {_}: multiply (divide ?129 ?129) ?130 =>= inverse (inverse ?130) [130, 129] by Super 22 with 4 at 3
% 0.18/0.34  Id :  48, {_}: multiply (multiply (inverse ?135) ?135) ?136 =>= inverse (inverse ?136) [136, 135] by Super 46 with 22 at 1,2
% 0.18/0.34  Id :  47, {_}: multiply (inverse (divide ?132 ?132)) ?133 =>= inverse (inverse ?133) [133, 132] by Super 46 with 4 at 1,2
% 0.18/0.34  Id :  39, {_}: multiply ?111 (divide ?112 ?111) =>= ?112 [112, 111] by Super 2 with 3 at 2
% 0.18/0.34  Id :  87, {_}: multiply (inverse ?227) (multiply ?228 ?227) =>= ?228 [228, 227] by Super 39 with 22 at 2,2
% 0.18/0.34  Id :  13, {_}: multiply ?47 (divide ?48 ?47) =>= ?48 [48, 47] by Super 2 with 3 at 2
% 0.18/0.34  Id :  88, {_}: multiply (inverse (divide ?230 ?231)) ?230 =>= ?231 [231, 230] by Super 87 with 13 at 2,2
% 0.18/0.34  Id : 117, {_}: ?293 =<= inverse (inverse ?293) [293] by Super 47 with 88 at 2
% 0.18/0.34  Id : 130, {_}: multiply (multiply (inverse ?135) ?135) ?136 =>= ?136 [136, 135] by Demod 48 with 117 at 3
% 0.18/0.34  Id : 138, {_}: a2 === a2 [] by Demod 1 with 130 at 2
% 0.18/0.34  Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.18/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.34  15581: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.008475 using nrkbo
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