TSTP Solution File: NUN087+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 11:46:32 EDT 2023

% Result   : Theorem 30.07s 29.30s
% Output   : Proof 30.07s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 21:10:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 30.07/29.30  
% 30.07/29.30  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 30.07/29.30  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.07/29.30  %-----------------------------------------------------
% 30.07/29.30  ncf(matrix, plain, [(208 ^ _43915) ^ [_52105] : [209 ^ _43915 : [(210 ^ _43915) ^ [_52205] : [r1(_52205), r4(_52205, _52205, _52105)]], 215 ^ _43915 : [(216 ^ _43915) ^ [_52382] : [r1(_52382), _52105 = _52382]]], (81 ^ _43915) ^ [_46660] : [82 ^ _43915 : [(83 ^ _43915) ^ [] : [r1(_46660)], (85 ^ _43915) ^ [] : [_46660 = 79 ^ []]], 86 ^ _43915 : [(87 ^ _43915) ^ [] : [-(r1(_46660))], (89 ^ _43915) ^ [] : [-(_46660 = 79 ^ [])]]], (92 ^ _43915) ^ [_47075, _47077] : [93 ^ _43915 : [(94 ^ _43915) ^ [] : [r2(_47077, _47075)], (96 ^ _43915) ^ [] : [_47075 = 90 ^ [_47077]]], 97 ^ _43915 : [(98 ^ _43915) ^ [] : [-(r2(_47077, _47075))], (100 ^ _43915) ^ [] : [-(_47075 = 90 ^ [_47077])]]], (103 ^ _43915) ^ [_47542, _47544, _47546] : [104 ^ _43915 : [(105 ^ _43915) ^ [] : [r3(_47546, _47544, _47542)], (107 ^ _43915) ^ [] : [_47542 = 101 ^ [_47544, _47546]]], 108 ^ _43915 : [(109 ^ _43915) ^ [] : [-(r3(_47546, _47544, _47542))], (111 ^ _43915) ^ [] : [-(_47542 = 101 ^ [_47544, _47546])]]], (114 ^ _43915) ^ [_48031, _48033, _48035] : [115 ^ _43915 : [(116 ^ _43915) ^ [] : [r4(_48035, _48033, _48031)], (118 ^ _43915) ^ [] : [_48031 = 112 ^ [_48033, _48035]]], 119 ^ _43915 : [(120 ^ _43915) ^ [] : [-(r4(_48035, _48033, _48031))], (122 ^ _43915) ^ [] : [-(_48031 = 112 ^ [_48033, _48035])]]], (127 ^ _43915) ^ [_48684, _48686] : [-(r2(_48684, 125 ^ [_48684, _48686]))], (129 ^ _43915) ^ [_48737, _48739] : [-(r3(_48739, 125 ^ [_48737, _48739], 124 ^ [_48737, _48739]))], (131 ^ _43915) ^ [_48800, _48802] : [-(124 ^ [_48800, _48802] = 123 ^ [_48800, _48802])], (134 ^ _43915) ^ [_48939, _48941] : [-(r2(132 ^ [_48939, _48941], 123 ^ [_48939, _48941]))], (136 ^ _43915) ^ [_48999, _49001] : [-(r3(_49001, _48999, 132 ^ [_48999, _49001]))], (141 ^ _43915) ^ [_49373, _49375] : [-(r2(_49373, 139 ^ [_49373, _49375]))], (143 ^ _43915) ^ [_49426, _49428] : [-(r4(_49428, 139 ^ [_49426, _49428], 138 ^ [_49426, _49428]))], (145 ^ _43915) ^ [_49489, _49491] : [-(138 ^ [_49489, _49491] = 137 ^ [_49489, _49491])], (148 ^ _43915) ^ [_49629, _49631] : [-(r3(146 ^ [_49629, _49631], _49631, 137 ^ [_49629, _49631]))], (150 ^ _43915) ^ [_49690, _49692] : [-(r4(_49692, _49690, 146 ^ [_49690, _49692]))], (152 ^ _43915) ^ [_49815, _49817] : [-(_49817 = _49815), 153 ^ _43915 : [(154 ^ _43915) ^ [_49924] : [r2(_49815, _49924), 155 ^ _43915 : [(156 ^ _43915) ^ [_50028] : [r2(_49817, _50028), _50028 = _49924]]]]], (168 ^ _43915) ^ [_50479] : [-(r1(166 ^ [_50479]))], (170 ^ _43915) ^ [_50527] : [-(r3(_50527, 166 ^ [_50527], 165 ^ [_50527]))], (172 ^ _43915) ^ [_50584] : [-(165 ^ [_50584] = _50584)], (176 ^ _43915) ^ [_50827] : [-(r1(174 ^ [_50827]))], (178 ^ _43915) ^ [_50875] : [-(r4(_50875, 174 ^ [_50875], 173 ^ [_50875]))], (181 ^ _43915) ^ [_51001] : [-(r1(179 ^ [_51001]))], (183 ^ _43915) ^ [_51049] : [-(173 ^ [_51049] = 179 ^ [_51049])], (185 ^ _43915) ^ [_51158] : [187 ^ _43915 : [(188 ^ _43915) ^ [] : [-(r1(186 ^ [_51158]))], (190 ^ _43915) ^ [] : [-(_51158 = 186 ^ [_51158])]], 193 ^ _43915 : [(194 ^ _43915) ^ [] : [-(r2(191 ^ [_51158], 192 ^ [_51158]))], (196 ^ _43915) ^ [] : [-(_51158 = 192 ^ [_51158])]]], (198 ^ _43915) ^ [_51677, _51679] : [r2(_51679, _51677), 199 ^ _43915 : [(200 ^ _43915) ^ [_51774] : [r1(_51774), _51774 = _51677]]], (2 ^ _43915) ^ [_44039] : [-(_44039 = _44039)], (4 ^ _43915) ^ [_44146, _44148] : [_44148 = _44146, -(_44146 = _44148)], (10 ^ _43915) ^ [_44350, _44352, _44354] : [-(_44354 = _44350), _44354 = _44352, _44352 = _44350], (20 ^ _43915) ^ [_44719, _44721, _44723, _44725, _44727, _44729] : [-(r3(_44727, _44723, _44719)), r3(_44729, _44725, _44721), _44729 = _44727, _44725 = _44723, _44721 = _44719], (38 ^ _43915) ^ [_45300, _45302, _45304, _45306] : [-(r2(_45304, _45300)), r2(_45306, _45302), _45306 = _45304, _45302 = _45300], (70 ^ _43915) ^ [_46305, _46307] : [-(r1(_46305)), _46307 = _46305, r1(_46307)], (52 ^ _43915) ^ [_45772, _45774, _45776, _45778, _45780, _45782] : [-(r4(_45780, _45776, _45772)), r4(_45782, _45778, _45774), _45782 = _45780, _45778 = _45776, _45774 = _45772]], input).
% 30.07/29.30  ncf('1',plain,[210 : r1(79 ^ []), 210 : r4(79 ^ [], 79 ^ [], 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]), 216 : r1(173 ^ [166 ^ [_30771]]), 216 : 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]] = 173 ^ [166 ^ [_30771]]],start(208 ^ 0,bind([[_52105, _52205, _52382], [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]], 79 ^ [], 173 ^ [166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.1',plain,[-(r1(79 ^ [])), 85 : 79 ^ [] = 79 ^ []],extension(81 ^ 3,bind([[_46660], [79 ^ []]]))).
% 30.07/29.30  ncf('1.1.1',plain,[-(79 ^ [] = 79 ^ []), 154 : r2(79 ^ [], 125 ^ [79 ^ [], _29330]), 156 : r2(79 ^ [], 125 ^ [79 ^ [], _29330]), 156 : 125 ^ [79 ^ [], _29330] = 125 ^ [79 ^ [], _29330]],extension(152 ^ 6,bind([[_49815, _49817, _49924, _50028], [79 ^ [], 79 ^ [], 125 ^ [79 ^ [], _29330], 125 ^ [79 ^ [], _29330]]]))).
% 30.07/29.30  ncf('1.1.1.1',plain,[-(r2(79 ^ [], 125 ^ [79 ^ [], _29330]))],extension(127 ^ 9,bind([[_48684, _48686], [79 ^ [], _29330]]))).
% 30.07/29.30  ncf('1.1.1.2',plain,[-(r2(79 ^ [], 125 ^ [79 ^ [], _29330]))],extension(127 ^ 11,bind([[_48684, _48686], [79 ^ [], _29330]]))).
% 30.07/29.30  ncf('1.1.1.3',plain,[-(125 ^ [79 ^ [], _29330] = 125 ^ [79 ^ [], _29330])],extension(2 ^ 11,bind([[_44039], [125 ^ [79 ^ [], _29330]]]))).
% 30.07/29.30  ncf('1.2',plain,[-(r4(79 ^ [], 79 ^ [], 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]])), r4(166 ^ [_30771], 174 ^ [166 ^ [_30771]], 165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]]), 166 ^ [_30771] = 79 ^ [], 174 ^ [166 ^ [_30771]] = 79 ^ [], 165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]] = 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]],extension(52 ^ 3,bind([[_45772, _45774, _45776, _45778, _45780, _45782], [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]], 165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]], 79 ^ [], 174 ^ [166 ^ [_30771]], 79 ^ [], 166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.2.1',plain,[-(r4(166 ^ [_30771], 174 ^ [166 ^ [_30771]], 165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]])), 118 : 165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]] = 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]],extension(114 ^ 4,bind([[_48031, _48033, _48035], [165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]], 174 ^ [166 ^ [_30771]], 166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.2.1.1',plain,[-(165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]] = 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]])],extension(172 ^ 7,bind([[_50584], [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.2.2',plain,[-(166 ^ [_30771] = 79 ^ []), 83 : r1(166 ^ [_30771])],extension(81 ^ 4,bind([[_46660], [166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.2.2.1',plain,[-(r1(166 ^ [_30771]))],extension(168 ^ 7,bind([[_50479], [_30771]]))).
% 30.07/29.30  ncf('1.2.3',plain,[-(174 ^ [166 ^ [_30771]] = 79 ^ []), 83 : r1(174 ^ [166 ^ [_30771]])],extension(81 ^ 4,bind([[_46660], [174 ^ [166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.2.3.1',plain,[-(r1(174 ^ [166 ^ [_30771]]))],extension(176 ^ 7,bind([[_50827], [166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.2.4',plain,[-(165 ^ [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]] = 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]])],extension(172 ^ 4,bind([[_50584], [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.3',plain,[-(r1(173 ^ [166 ^ [_30771]])), 179 ^ [166 ^ [_30771]] = 173 ^ [166 ^ [_30771]], r1(179 ^ [166 ^ [_30771]])],extension(70 ^ 3,bind([[_46305, _46307], [173 ^ [166 ^ [_30771]], 179 ^ [166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.3.1',plain,[-(179 ^ [166 ^ [_30771]] = 173 ^ [166 ^ [_30771]]), 173 ^ [166 ^ [_30771]] = 179 ^ [166 ^ [_30771]]],extension(4 ^ 4,bind([[_44146, _44148], [179 ^ [166 ^ [_30771]], 173 ^ [166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.3.1.1',plain,[-(173 ^ [166 ^ [_30771]] = 179 ^ [166 ^ [_30771]])],extension(183 ^ 5,bind([[_51049], [166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.3.2',plain,[-(r1(179 ^ [166 ^ [_30771]]))],extension(181 ^ 4,bind([[_51001], [166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.4',plain,[-(112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]] = 173 ^ [166 ^ [_30771]]), 173 ^ [166 ^ [_30771]] = 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]],extension(4 ^ 3,bind([[_44146, _44148], [112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]], 173 ^ [166 ^ [_30771]]]]))).
% 30.07/29.30  ncf('1.4.1',plain,[-(173 ^ [166 ^ [_30771]] = 112 ^ [174 ^ [166 ^ [_30771]], 166 ^ [_30771]]), 116 : r4(166 ^ [_30771], 174 ^ [166 ^ [_30771]], 173 ^ [166 ^ [_30771]])],extension(114 ^ 4,bind([[_48031, _48033, _48035], [173 ^ [166 ^ [_30771]], 174 ^ [166 ^ [_30771]], 166 ^ [_30771]]]))).
% 30.07/29.30  ncf('1.4.1.1',plain,[-(r4(166 ^ [_30771], 174 ^ [166 ^ [_30771]], 173 ^ [166 ^ [_30771]]))],extension(178 ^ 7,bind([[_50875], [166 ^ [_30771]]]))).
% 30.07/29.30  %-----------------------------------------------------
% 30.07/29.30  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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