TSTP Solution File: SEU142+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:02:20 EDT 2023

% Result   : Theorem 0.56s 1.38s
% Output   : Proof 0.56s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 : Thu May 18 13:38:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.56/1.38  
% 0.56/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.56/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/1.38  %-----------------------------------------------------
% 0.56/1.38  ncf(matrix, plain, [(160 ^ _22429) ^ [] : [unordered_pair(158 ^ [], 158 ^ []) = singleton(158 ^ [])], (44 ^ _22429) ^ [_23962, _23964] : [_23964 = _23962, -(singleton(_23964) = singleton(_23962))], (34 ^ _22429) ^ [_23651, _23653, _23655, _23657] : [-(unordered_pair(_23657, _23653) = unordered_pair(_23655, _23651)), _23657 = _23655, _23653 = _23651], (20 ^ _22429) ^ [_23205, _23207, _23209, _23211] : [-(in(_23209, _23205)), in(_23211, _23207), _23211 = _23209, _23207 = _23205], (2 ^ _22429) ^ [_22573] : [-(_22573 = _22573)], (4 ^ _22429) ^ [_22680, _22682] : [_22682 = _22680, -(_22680 = _22682)], (10 ^ _22429) ^ [_22884, _22886, _22888] : [-(_22888 = _22884), _22888 = _22886, _22886 = _22884], (50 ^ _22429) ^ [_24186, _24188] : [in(_24188, _24186), in(_24186, _24188)], (56 ^ _22429) ^ [_24382, _24384] : [-(unordered_pair(_24384, _24382) = unordered_pair(_24382, _24384))], (74 ^ _22429) ^ [_25047, _25049] : [-(_25047 = singleton(_25049)), 78 ^ _22429 : [(79 ^ _22429) ^ [] : [-(in(75 ^ [_25047, _25049], _25047))], (81 ^ _22429) ^ [] : [75 ^ [_25047, _25049] = _25049]], 82 ^ _22429 : [(83 ^ _22429) ^ [] : [-(75 ^ [_25047, _25049] = _25049)], (85 ^ _22429) ^ [] : [in(75 ^ [_25047, _25049], _25047)]]], (58 ^ _22429) ^ [_24526, _24528] : [_24526 = singleton(_24528), 61 ^ _22429 : [(62 ^ _22429) ^ [_24696] : [in(_24696, _24526), -(_24696 = _24528)], (68 ^ _22429) ^ [_24868] : [_24868 = _24528, -(in(_24868, _24526))]]], (132 ^ _22429) ^ [] : [true___, -(true___)], (138 ^ _22429) ^ [] : [true___, -(true___)], (144 ^ _22429) ^ [_27320, _27322] : [-(_27322 = _27320), 148 ^ _22429 : [(149 ^ _22429) ^ [] : [-(in(145 ^ [_27320, _27322], _27322))], (151 ^ _22429) ^ [] : [in(145 ^ [_27320, _27322], _27320)]], 152 ^ _22429 : [(153 ^ _22429) ^ [] : [-(in(145 ^ [_27320, _27322], _27320))], (155 ^ _22429) ^ [] : [in(145 ^ [_27320, _27322], _27322)]]], (111 ^ _22429) ^ [_26351, _26353, _26355] : [-(_26351 = unordered_pair(_26355, _26353)), 115 ^ _22429 : [(116 ^ _22429) ^ [] : [-(in(112 ^ [_26351, _26353, _26355], _26351))], (118 ^ _22429) ^ [] : [112 ^ [_26351, _26353, _26355] = _26355], (120 ^ _22429) ^ [] : [112 ^ [_26351, _26353, _26355] = _26353]], 121 ^ _22429 : [(128 ^ _22429) ^ [] : [in(112 ^ [_26351, _26353, _26355], _26351)], (122 ^ _22429) ^ [] : [-(112 ^ [_26351, _26353, _26355] = _26355), -(112 ^ [_26351, _26353, _26355] = _26353)]]], (89 ^ _22429) ^ [_25626, _25628, _25630] : [_25626 = unordered_pair(_25630, _25628), 92 ^ _22429 : [(103 ^ _22429) ^ [_26086] : [104 ^ _22429 : [(105 ^ _22429) ^ [] : [_26086 = _25630], (107 ^ _22429) ^ [] : [_26086 = _25628]], -(in(_26086, _25626))], (93 ^ _22429) ^ [_25808] : [in(_25808, _25626), -(_25808 = _25630), -(_25808 = _25628)]]]], input).
% 0.56/1.38  ncf('1',plain,[unordered_pair(158 ^ [], 158 ^ []) = singleton(158 ^ [])],start(160 ^ 0)).
% 0.56/1.38  ncf('1.1',plain,[-(unordered_pair(158 ^ [], 158 ^ []) = singleton(158 ^ [])), singleton(158 ^ []) = unordered_pair(158 ^ [], 158 ^ [])],extension(4 ^ 1,bind([[_22680, _22682], [unordered_pair(158 ^ [], 158 ^ []), singleton(158 ^ [])]]))).
% 0.56/1.38  ncf('1.1.1',plain,[-(singleton(158 ^ []) = unordered_pair(158 ^ [], 158 ^ [])), 118 : 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 158 ^ [], 128 : in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ []))],extension(111 ^ 2,bind([[_26351, _26353, _26355], [singleton(158 ^ []), 158 ^ [], 158 ^ []]]))).
% 0.56/1.38  ncf('1.1.1.1',plain,[-(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 158 ^ []), 62 : in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ [])), 62 : singleton(158 ^ []) = singleton(158 ^ [])],extension(58 ^ 5,bind([[_24526, _24528, _24696], [singleton(158 ^ []), 158 ^ [], 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.1.1',plain,[-(in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ []))), in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ [])), 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ []) = singleton(158 ^ [])],extension(20 ^ 8,bind([[_23205, _23207, _23209, _23211], [singleton(158 ^ []), singleton(158 ^ []), 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.1.1.1',plain,[-(in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ [])))],extension(116 ^ 9)).
% 0.56/1.38  ncf('1.1.1.1.1.2',plain,[-(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []])],extension(2 ^ 9,bind([[_22573], [112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.1.1.3',plain,[-(singleton(158 ^ []) = singleton(158 ^ []))],extension(2 ^ 9,bind([[_22573], [singleton(158 ^ [])]]))).
% 0.56/1.38  ncf('1.1.1.1.2',plain,[-(singleton(158 ^ []) = singleton(158 ^ [])), 158 ^ [] = 158 ^ []],extension(44 ^ 6,bind([[_23962, _23964], [158 ^ [], 158 ^ []]]))).
% 0.56/1.38  ncf('1.1.1.1.2.1',plain,[-(158 ^ [] = 158 ^ [])],extension(2 ^ 7,bind([[_22573], [158 ^ []]]))).
% 0.56/1.38  ncf('1.1.1.2',plain,[-(in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(158 ^ []))), in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []])), 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]) = singleton(158 ^ [])],extension(20 ^ 5,bind([[_23205, _23207, _23209, _23211], [singleton(158 ^ []), singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]), 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.2.1',plain,[-(in(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]))), 68 : 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], 68 : singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]) = singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []])],extension(58 ^ 6,bind([[_24526, _24528, _24868], [singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]), 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []], 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.2.1.1',plain,[-(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []])],extension(2 ^ 9,bind([[_22573], [112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.2.1.2',plain,[-(singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]) = singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]))],extension(2 ^ 7,bind([[_22573], [singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []])]]))).
% 0.56/1.38  ncf('1.1.1.2.2',plain,[-(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []])],extension(2 ^ 6,bind([[_22573], [112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.2.3',plain,[-(singleton(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]) = singleton(158 ^ [])), 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 158 ^ []],extension(44 ^ 6,bind([[_23962, _23964], [158 ^ [], 112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []]]]))).
% 0.56/1.38  ncf('1.1.1.2.3.1',plain,[-(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 158 ^ []), -(112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 158 ^ [])],extension(122 ^ 7)).
% 0.56/1.38  ncf('1.1.1.2.3.1.1',plain,[112 ^ [singleton(158 ^ []), 158 ^ [], 158 ^ []] = 158 ^ []],reduction('1.1.1.2.3')).
% 0.56/1.38  %-----------------------------------------------------
% 0.56/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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