%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.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 02:53:32 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(107 ^ _28584) ^ [] : [domain(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ []))) = addition(domain(multiplication(103 ^ [], domain(105 ^ []))), domain(multiplication(104 ^ [], domain(105 ^ []))))], (94 ^ _28584) ^ [_32192] : [-(addition(_32192, multiplication(domain(_32192), _32192)) = multiplication(domain(_32192), _32192))], (96 ^ _28584) ^ [_32297, _32299] : [-(domain(multiplication(_32299, _32297)) = domain(multiplication(_32299, domain(_32297))))], (98 ^ _28584) ^ [_32389] : [-(addition(domain(_32389), one) = one)], (100 ^ _28584) ^ [] : [-(domain(zero) = zero)], (102 ^ _28584) ^ [_32519, _32521] : [-(domain(addition(_32521, _32519)) = addition(domain(_32521), domain(_32519)))], (60 ^ _28584) ^ [_30709, _30711] : [-(addition(_30711, _30709) = addition(_30709, _30711))], (62 ^ _28584) ^ [_30823, _30825, _30827] : [-(addition(_30823, addition(_30825, _30827)) = addition(addition(_30823, _30825), _30827))], (64 ^ _28584) ^ [_30917] : [-(addition(_30917, zero) = _30917)], (66 ^ _28584) ^ [_30998] : [-(addition(_30998, _30998) = _30998)], (68 ^ _28584) ^ [_31107, _31109, _31111] : [-(multiplication(_31111, multiplication(_31109, _31107)) = multiplication(multiplication(_31111, _31109), _31107))], (70 ^ _28584) ^ [_31201] : [-(multiplication(_31201, one) = _31201)], (72 ^ _28584) ^ [_31282] : [-(multiplication(one, _31282) = _31282)], (74 ^ _28584) ^ [_31391, _31393, _31395] : [-(multiplication(_31395, addition(_31393, _31391)) = addition(multiplication(_31395, _31393), multiplication(_31395, _31391)))], (76 ^ _28584) ^ [_31516, _31518, _31520] : [-(multiplication(addition(_31520, _31518), _31516) = addition(multiplication(_31520, _31516), multiplication(_31518, _31516)))], (78 ^ _28584) ^ [_31613] : [-(multiplication(_31613, zero) = zero)], (80 ^ _28584) ^ [_31694] : [-(multiplication(zero, _31694) = zero)], (82 ^ _28584) ^ [_31813, _31815] : [leq(_31815, _31813), -(addition(_31815, _31813) = _31813)], (88 ^ _28584) ^ [_31981, _31983] : [addition(_31983, _31981) = _31981, -(leq(_31983, _31981))], (34 ^ _28584) ^ [_29806, _29808, _29810, _29812] : [-(addition(_29812, _29808) = addition(_29810, _29806)), _29812 = _29810, _29808 = _29806], (54 ^ _28584) ^ [_30476, _30478] : [_30478 = _30476, -(domain(_30478) = domain(_30476))], (44 ^ _28584) ^ [_30165, _30167, _30169, _30171] : [-(multiplication(_30171, _30167) = multiplication(_30169, _30165)), _30171 = _30169, _30167 = _30165], (20 ^ _28584) ^ [_29360, _29362, _29364, _29366] : [-(leq(_29364, _29360)), leq(_29366, _29362), _29366 = _29364, _29362 = _29360], (2 ^ _28584) ^ [_28728] : [-(_28728 = _28728)], (4 ^ _28584) ^ [_28835, _28837] : [_28837 = _28835, -(_28835 = _28837)], (10 ^ _28584) ^ [_29039, _29041, _29043] : [-(_29043 = _29039), _29043 = _29041, _29041 = _29039]], input).
% 0.33/1.38  ncf('1',plain,[domain(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ []))) = addition(domain(multiplication(103 ^ [], domain(105 ^ []))), domain(multiplication(104 ^ [], domain(105 ^ []))))],start(107 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(domain(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ []))) = addition(domain(multiplication(103 ^ [], domain(105 ^ []))), domain(multiplication(104 ^ [], domain(105 ^ []))))), domain(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ []))) = domain(addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ [])))), domain(addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ [])))) = addition(domain(multiplication(103 ^ [], domain(105 ^ []))), domain(multiplication(104 ^ [], domain(105 ^ []))))],extension(10 ^ 1,bind([[_29039, _29041, _29043], [addition(domain(multiplication(103 ^ [], domain(105 ^ []))), domain(multiplication(104 ^ [], domain(105 ^ [])))), domain(addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ [])))), domain(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ [])))]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(domain(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ []))) = domain(addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ []))))), multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ [])) = addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ [])))],extension(54 ^ 2,bind([[_30476, _30478], [addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ []))), multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ []))]]))).
% 0.33/1.38  ncf('1.1.1.1',plain,[-(multiplication(addition(103 ^ [], 104 ^ []), domain(105 ^ [])) = addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ []))))],extension(76 ^ 3,bind([[_31516, _31518, _31520], [domain(105 ^ []), 104 ^ [], 103 ^ []]]))).
% 0.33/1.38  ncf('1.1.2',plain,[-(domain(addition(multiplication(103 ^ [], domain(105 ^ [])), multiplication(104 ^ [], domain(105 ^ [])))) = addition(domain(multiplication(103 ^ [], domain(105 ^ []))), domain(multiplication(104 ^ [], domain(105 ^ [])))))],extension(102 ^ 2,bind([[_32519, _32521], [multiplication(104 ^ [], domain(105 ^ [])), multiplication(103 ^ [], domain(105 ^ []))]]))).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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