TSTP Solution File: GRP454-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP454-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n032.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 10:30:21 EDT 2022

% Result   : Unsatisfiable 0.08s 0.28s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem  : GRP454-1 : TPTP v8.1.0. Released v2.6.0.
% 0.05/0.09  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Mon Jun 13 09:19:56 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  20346: Facts:
% 0.08/0.28  20346:  Id :   2, {_}:
% 0.08/0.28            divide
% 0.08/0.28              (divide identity
% 0.08/0.28                (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4))))
% 0.08/0.28              ?4
% 0.08/0.28            =>=
% 0.08/0.28            ?3
% 0.08/0.28            [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.08/0.28  20346:  Id :   3, {_}:
% 0.08/0.28            multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.08/0.28            [7, 6] by multiply ?6 ?7
% 0.08/0.28  20346:  Id :   4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.08/0.28  20346:  Id :   5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.08/0.28  20346: Goal:
% 0.08/0.28  20346:  Id :   1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.08/0.28  Statistics :
% 0.08/0.28  Max weight : 7
% 0.08/0.28  Found proof, 0.002513s
% 0.08/0.28  % SZS status Unsatisfiable for theBenchmark.p
% 0.08/0.28  % SZS output start CNFRefutation for theBenchmark.p
% 0.08/0.28  Id :   5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.08/0.28  Id :   4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.08/0.28  Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.08/0.28  Id :  24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.08/0.28  Id :  41, {_}: multiply (inverse ?83) ?83 =>= identity [83] by Super 24 with 5 at 3
% 0.08/0.28  Id :  90, {_}: identity === identity [] by Demod 1 with 41 at 2
% 0.08/0.28  Id :   1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.08/0.28  % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.28  20349: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.002968 using nrkbo
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