TSTP Solution File: KLE076+1 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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  : 300s
% DateTime : Fri May 19 11:25:23 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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  : 300
% 0.12/0.33  % DateTime : Fri May 19 03:19:51 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(105 ^ _28064) ^ [] : [domain(multiplication(103 ^ [], domain(zero))) = zero], (94 ^ _28064) ^ [_31672] : [-(addition(_31672, multiplication(domain(_31672), _31672)) = multiplication(domain(_31672), _31672))], (96 ^ _28064) ^ [_31777, _31779] : [-(domain(multiplication(_31779, _31777)) = domain(multiplication(_31779, domain(_31777))))], (98 ^ _28064) ^ [_31869] : [-(addition(domain(_31869), one) = one)], (100 ^ _28064) ^ [] : [-(domain(zero) = zero)], (102 ^ _28064) ^ [_31999, _32001] : [-(domain(addition(_32001, _31999)) = addition(domain(_32001), domain(_31999)))], (60 ^ _28064) ^ [_30189, _30191] : [-(addition(_30191, _30189) = addition(_30189, _30191))], (62 ^ _28064) ^ [_30303, _30305, _30307] : [-(addition(_30303, addition(_30305, _30307)) = addition(addition(_30303, _30305), _30307))], (64 ^ _28064) ^ [_30397] : [-(addition(_30397, zero) = _30397)], (66 ^ _28064) ^ [_30478] : [-(addition(_30478, _30478) = _30478)], (68 ^ _28064) ^ [_30587, _30589, _30591] : [-(multiplication(_30591, multiplication(_30589, _30587)) = multiplication(multiplication(_30591, _30589), _30587))], (70 ^ _28064) ^ [_30681] : [-(multiplication(_30681, one) = _30681)], (72 ^ _28064) ^ [_30762] : [-(multiplication(one, _30762) = _30762)], (74 ^ _28064) ^ [_30871, _30873, _30875] : [-(multiplication(_30875, addition(_30873, _30871)) = addition(multiplication(_30875, _30873), multiplication(_30875, _30871)))], (76 ^ _28064) ^ [_30996, _30998, _31000] : [-(multiplication(addition(_31000, _30998), _30996) = addition(multiplication(_31000, _30996), multiplication(_30998, _30996)))], (78 ^ _28064) ^ [_31093] : [-(multiplication(_31093, zero) = zero)], (80 ^ _28064) ^ [_31174] : [-(multiplication(zero, _31174) = zero)], (82 ^ _28064) ^ [_31293, _31295] : [leq(_31295, _31293), -(addition(_31295, _31293) = _31293)], (88 ^ _28064) ^ [_31461, _31463] : [addition(_31463, _31461) = _31461, -(leq(_31463, _31461))], (34 ^ _28064) ^ [_29286, _29288, _29290, _29292] : [-(addition(_29292, _29288) = addition(_29290, _29286)), _29292 = _29290, _29288 = _29286], (54 ^ _28064) ^ [_29956, _29958] : [_29958 = _29956, -(domain(_29958) = domain(_29956))], (44 ^ _28064) ^ [_29645, _29647, _29649, _29651] : [-(multiplication(_29651, _29647) = multiplication(_29649, _29645)), _29651 = _29649, _29647 = _29645], (20 ^ _28064) ^ [_28840, _28842, _28844, _28846] : [-(leq(_28844, _28840)), leq(_28846, _28842), _28846 = _28844, _28842 = _28840], (2 ^ _28064) ^ [_28208] : [-(_28208 = _28208)], (4 ^ _28064) ^ [_28315, _28317] : [_28317 = _28315, -(_28315 = _28317)], (10 ^ _28064) ^ [_28519, _28521, _28523] : [-(_28523 = _28519), _28523 = _28521, _28521 = _28519]], input).
% 0.35/1.37  ncf('1',plain,[domain(multiplication(103 ^ [], domain(zero))) = zero],start(105 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(domain(multiplication(103 ^ [], domain(zero))) = zero), domain(multiplication(103 ^ [], domain(zero))) = domain(multiplication(103 ^ [], zero)), domain(multiplication(103 ^ [], zero)) = zero],extension(10 ^ 1,bind([[_28519, _28521, _28523], [zero, domain(multiplication(103 ^ [], zero)), domain(multiplication(103 ^ [], domain(zero)))]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(domain(multiplication(103 ^ [], domain(zero))) = domain(multiplication(103 ^ [], zero))), multiplication(103 ^ [], domain(zero)) = multiplication(103 ^ [], zero)],extension(54 ^ 2,bind([[_29956, _29958], [multiplication(103 ^ [], zero), multiplication(103 ^ [], domain(zero))]]))).
% 0.35/1.37  ncf('1.1.1.1',plain,[-(multiplication(103 ^ [], domain(zero)) = multiplication(103 ^ [], zero)), 103 ^ [] = 103 ^ [], domain(zero) = zero],extension(44 ^ 3,bind([[_29645, _29647, _29649, _29651], [zero, domain(zero), 103 ^ [], 103 ^ []]]))).
% 0.35/1.37  ncf('1.1.1.1.1',plain,[-(103 ^ [] = 103 ^ [])],extension(2 ^ 4,bind([[_28208], [103 ^ []]]))).
% 0.35/1.37  ncf('1.1.1.1.2',plain,[-(domain(zero) = zero)],extension(100 ^ 4)).
% 0.35/1.37  ncf('1.1.2',plain,[-(domain(multiplication(103 ^ [], zero)) = zero), domain(multiplication(103 ^ [], zero)) = domain(zero), domain(zero) = zero],extension(10 ^ 2,bind([[_28519, _28521, _28523], [zero, domain(zero), domain(multiplication(103 ^ [], zero))]]))).
% 0.35/1.37  ncf('1.1.2.1',plain,[-(domain(multiplication(103 ^ [], zero)) = domain(zero)), multiplication(103 ^ [], zero) = zero],extension(54 ^ 3,bind([[_29956, _29958], [zero, multiplication(103 ^ [], zero)]]))).
% 0.35/1.37  ncf('1.1.2.1.1',plain,[-(multiplication(103 ^ [], zero) = zero)],extension(78 ^ 4,bind([[_31093], [103 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.2',plain,[-(domain(zero) = zero)],extension(100 ^ 3)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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