%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KLE075+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE075+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n013.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 02:57:50 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(105 ^ _27510) ^ [] : [domain(multiplication(one, domain(103 ^ []))) = domain(103 ^ [])], (94 ^ _27510) ^ [_31118] : [-(addition(_31118, multiplication(domain(_31118), _31118)) = multiplication(domain(_31118), _31118))], (96 ^ _27510) ^ [_31223, _31225] : [-(domain(multiplication(_31225, _31223)) = domain(multiplication(_31225, domain(_31223))))], (98 ^ _27510) ^ [_31315] : [-(addition(domain(_31315), one) = one)], (100 ^ _27510) ^ [] : [-(domain(zero) = zero)], (102 ^ _27510) ^ [_31445, _31447] : [-(domain(addition(_31447, _31445)) = addition(domain(_31447), domain(_31445)))], (60 ^ _27510) ^ [_29635, _29637] : [-(addition(_29637, _29635) = addition(_29635, _29637))], (62 ^ _27510) ^ [_29749, _29751, _29753] : [-(addition(_29749, addition(_29751, _29753)) = addition(addition(_29749, _29751), _29753))], (64 ^ _27510) ^ [_29843] : [-(addition(_29843, zero) = _29843)], (66 ^ _27510) ^ [_29924] : [-(addition(_29924, _29924) = _29924)], (68 ^ _27510) ^ [_30033, _30035, _30037] : [-(multiplication(_30037, multiplication(_30035, _30033)) = multiplication(multiplication(_30037, _30035), _30033))], (70 ^ _27510) ^ [_30127] : [-(multiplication(_30127, one) = _30127)], (72 ^ _27510) ^ [_30208] : [-(multiplication(one, _30208) = _30208)], (74 ^ _27510) ^ [_30317, _30319, _30321] : [-(multiplication(_30321, addition(_30319, _30317)) = addition(multiplication(_30321, _30319), multiplication(_30321, _30317)))], (76 ^ _27510) ^ [_30442, _30444, _30446] : [-(multiplication(addition(_30446, _30444), _30442) = addition(multiplication(_30446, _30442), multiplication(_30444, _30442)))], (78 ^ _27510) ^ [_30539] : [-(multiplication(_30539, zero) = zero)], (80 ^ _27510) ^ [_30620] : [-(multiplication(zero, _30620) = zero)], (82 ^ _27510) ^ [_30739, _30741] : [leq(_30741, _30739), -(addition(_30741, _30739) = _30739)], (88 ^ _27510) ^ [_30907, _30909] : [addition(_30909, _30907) = _30907, -(leq(_30909, _30907))], (34 ^ _27510) ^ [_28732, _28734, _28736, _28738] : [-(addition(_28738, _28734) = addition(_28736, _28732)), _28738 = _28736, _28734 = _28732], (54 ^ _27510) ^ [_29402, _29404] : [_29404 = _29402, -(domain(_29404) = domain(_29402))], (44 ^ _27510) ^ [_29091, _29093, _29095, _29097] : [-(multiplication(_29097, _29093) = multiplication(_29095, _29091)), _29097 = _29095, _29093 = _29091], (20 ^ _27510) ^ [_28286, _28288, _28290, _28292] : [-(leq(_28290, _28286)), leq(_28292, _28288), _28292 = _28290, _28288 = _28286], (2 ^ _27510) ^ [_27654] : [-(_27654 = _27654)], (4 ^ _27510) ^ [_27761, _27763] : [_27763 = _27761, -(_27761 = _27763)], (10 ^ _27510) ^ [_27965, _27967, _27969] : [-(_27969 = _27965), _27969 = _27967, _27967 = _27965]], input).
% 0.33/1.37  ncf('1',plain,[domain(multiplication(one, domain(103 ^ []))) = domain(103 ^ [])],start(105 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(domain(multiplication(one, domain(103 ^ []))) = domain(103 ^ [])), domain(multiplication(one, domain(103 ^ []))) = domain(multiplication(one, 103 ^ [])), domain(multiplication(one, 103 ^ [])) = domain(103 ^ [])],extension(10 ^ 1,bind([[_27965, _27967, _27969], [domain(103 ^ []), domain(multiplication(one, 103 ^ [])), domain(multiplication(one, domain(103 ^ [])))]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(domain(multiplication(one, domain(103 ^ []))) = domain(multiplication(one, 103 ^ []))), domain(multiplication(one, 103 ^ [])) = domain(multiplication(one, domain(103 ^ [])))],extension(4 ^ 2,bind([[_27761, _27763], [domain(multiplication(one, domain(103 ^ []))), domain(multiplication(one, 103 ^ []))]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[-(domain(multiplication(one, 103 ^ [])) = domain(multiplication(one, domain(103 ^ []))))],extension(96 ^ 3,bind([[_31223, _31225], [103 ^ [], one]]))).
% 0.33/1.37  ncf('1.1.2',plain,[-(domain(multiplication(one, 103 ^ [])) = domain(103 ^ [])), multiplication(one, 103 ^ []) = 103 ^ []],extension(54 ^ 2,bind([[_29402, _29404], [103 ^ [], multiplication(one, 103 ^ [])]]))).
% 0.33/1.37  ncf('1.1.2.1',plain,[-(multiplication(one, 103 ^ []) = 103 ^ [])],extension(72 ^ 3,bind([[_30208], [103 ^ []]]))).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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