TSTP Solution File: NUN062+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:46:28 EDT 2023

% Result   : Theorem 1.56s 2.42s
% Output   : Proof 1.56s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 21:11:15 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 1.56/2.42  
% 1.56/2.42  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.56/2.42  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.56/2.42  %-----------------------------------------------------
% 1.56/2.42  ncf(matrix, plain, [(209 ^ _43310) ^ [_51593, _51595] : [211 ^ _43310 : [(212 ^ _43310) ^ [] : [-(r1(210 ^ [_51593, _51595]))], (214 ^ _43310) ^ [] : [-(_51593 = 210 ^ [_51593, _51595])]], 215 ^ _43310 : [(216 ^ _43310) ^ [_51881] : [r3(207 ^ [], _51593, _51881), _51881 = _51595]]], (81 ^ _43310) ^ [_46055] : [82 ^ _43310 : [(83 ^ _43310) ^ [] : [r1(_46055)], (85 ^ _43310) ^ [] : [_46055 = 79 ^ []]], 86 ^ _43310 : [(87 ^ _43310) ^ [] : [-(r1(_46055))], (89 ^ _43310) ^ [] : [-(_46055 = 79 ^ [])]]], (92 ^ _43310) ^ [_46470, _46472] : [93 ^ _43310 : [(94 ^ _43310) ^ [] : [r2(_46472, _46470)], (96 ^ _43310) ^ [] : [_46470 = 90 ^ [_46472]]], 97 ^ _43310 : [(98 ^ _43310) ^ [] : [-(r2(_46472, _46470))], (100 ^ _43310) ^ [] : [-(_46470 = 90 ^ [_46472])]]], (103 ^ _43310) ^ [_46937, _46939, _46941] : [104 ^ _43310 : [(105 ^ _43310) ^ [] : [r3(_46941, _46939, _46937)], (107 ^ _43310) ^ [] : [_46937 = 101 ^ [_46939, _46941]]], 108 ^ _43310 : [(109 ^ _43310) ^ [] : [-(r3(_46941, _46939, _46937))], (111 ^ _43310) ^ [] : [-(_46937 = 101 ^ [_46939, _46941])]]], (114 ^ _43310) ^ [_47426, _47428, _47430] : [115 ^ _43310 : [(116 ^ _43310) ^ [] : [r4(_47430, _47428, _47426)], (118 ^ _43310) ^ [] : [_47426 = 112 ^ [_47428, _47430]]], 119 ^ _43310 : [(120 ^ _43310) ^ [] : [-(r4(_47430, _47428, _47426))], (122 ^ _43310) ^ [] : [-(_47426 = 112 ^ [_47428, _47430])]]], (127 ^ _43310) ^ [_48079, _48081] : [-(r2(_48079, 125 ^ [_48079, _48081]))], (129 ^ _43310) ^ [_48132, _48134] : [-(r3(_48134, 125 ^ [_48132, _48134], 124 ^ [_48132, _48134]))], (131 ^ _43310) ^ [_48195, _48197] : [-(124 ^ [_48195, _48197] = 123 ^ [_48195, _48197])], (134 ^ _43310) ^ [_48334, _48336] : [-(r2(132 ^ [_48334, _48336], 123 ^ [_48334, _48336]))], (136 ^ _43310) ^ [_48394, _48396] : [-(r3(_48396, _48394, 132 ^ [_48394, _48396]))], (141 ^ _43310) ^ [_48768, _48770] : [-(r2(_48768, 139 ^ [_48768, _48770]))], (143 ^ _43310) ^ [_48821, _48823] : [-(r4(_48823, 139 ^ [_48821, _48823], 138 ^ [_48821, _48823]))], (145 ^ _43310) ^ [_48884, _48886] : [-(138 ^ [_48884, _48886] = 137 ^ [_48884, _48886])], (148 ^ _43310) ^ [_49024, _49026] : [-(r3(146 ^ [_49024, _49026], _49026, 137 ^ [_49024, _49026]))], (150 ^ _43310) ^ [_49085, _49087] : [-(r4(_49087, _49085, 146 ^ [_49085, _49087]))], (152 ^ _43310) ^ [_49210, _49212] : [-(_49212 = _49210), 153 ^ _43310 : [(154 ^ _43310) ^ [_49319] : [r2(_49210, _49319), 155 ^ _43310 : [(156 ^ _43310) ^ [_49423] : [r2(_49212, _49423), _49423 = _49319]]]]], (168 ^ _43310) ^ [_49874] : [-(r1(166 ^ [_49874]))], (170 ^ _43310) ^ [_49922] : [-(r3(_49922, 166 ^ [_49922], 165 ^ [_49922]))], (172 ^ _43310) ^ [_49979] : [-(165 ^ [_49979] = _49979)], (176 ^ _43310) ^ [_50222] : [-(r1(174 ^ [_50222]))], (178 ^ _43310) ^ [_50270] : [-(r4(_50270, 174 ^ [_50270], 173 ^ [_50270]))], (181 ^ _43310) ^ [_50396] : [-(r1(179 ^ [_50396]))], (183 ^ _43310) ^ [_50444] : [-(173 ^ [_50444] = 179 ^ [_50444])], (185 ^ _43310) ^ [_50553] : [187 ^ _43310 : [(188 ^ _43310) ^ [] : [-(r1(186 ^ [_50553]))], (190 ^ _43310) ^ [] : [-(_50553 = 186 ^ [_50553])]], 193 ^ _43310 : [(194 ^ _43310) ^ [] : [-(r2(191 ^ [_50553], 192 ^ [_50553]))], (196 ^ _43310) ^ [] : [-(_50553 = 192 ^ [_50553])]]], (198 ^ _43310) ^ [_51072, _51074] : [r2(_51074, _51072), 199 ^ _43310 : [(200 ^ _43310) ^ [_51169] : [r1(_51169), _51169 = _51072]]], (2 ^ _43310) ^ [_43434] : [-(_43434 = _43434)], (4 ^ _43310) ^ [_43541, _43543] : [_43543 = _43541, -(_43541 = _43543)], (10 ^ _43310) ^ [_43745, _43747, _43749] : [-(_43749 = _43745), _43749 = _43747, _43747 = _43745], (20 ^ _43310) ^ [_44114, _44116, _44118, _44120, _44122, _44124] : [-(r4(_44122, _44118, _44114)), r4(_44124, _44120, _44116), _44124 = _44122, _44120 = _44118, _44116 = _44114], (38 ^ _43310) ^ [_44695, _44697, _44699, _44701] : [-(r2(_44699, _44695)), r2(_44701, _44697), _44701 = _44699, _44697 = _44695], (52 ^ _43310) ^ [_45111, _45113] : [-(r1(_45111)), _45113 = _45111, r1(_45113)], (62 ^ _43310) ^ [_45442, _45444, _45446, _45448, _45450, _45452] : [-(r3(_45450, _45446, _45442)), r3(_45452, _45448, _45444), _45452 = _45450, _45448 = _45446, _45444 = _45442]], input).
% 1.56/2.42  ncf('1',plain,[r2(_28306, 90 ^ [_28306]), 200 : r1(210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]]), 200 : 210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]] = 90 ^ [_28306]],start(198 ^ 0,bind([[_51072, _51074, _51169], [90 ^ [_28306], _28306, 210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]]]]))).
% 1.56/2.42  ncf('1.1',plain,[-(r2(_28306, 90 ^ [_28306])), 96 : 90 ^ [_28306] = 90 ^ [_28306]],extension(92 ^ 1,bind([[_46470, _46472], [90 ^ [_28306], _28306]]))).
% 1.56/2.42  ncf('1.1.1',plain,[-(90 ^ [_28306] = 90 ^ [_28306]), 154 : r2(90 ^ [_28306], 125 ^ [90 ^ [_28306], _29857]), 156 : r2(90 ^ [_28306], 125 ^ [90 ^ [_28306], _29857]), 156 : 125 ^ [90 ^ [_28306], _29857] = 125 ^ [90 ^ [_28306], _29857]],extension(152 ^ 4,bind([[_49210, _49212, _49319, _49423], [90 ^ [_28306], 90 ^ [_28306], 125 ^ [90 ^ [_28306], _29857], 125 ^ [90 ^ [_28306], _29857]]]))).
% 1.56/2.42  ncf('1.1.1.1',plain,[-(r2(90 ^ [_28306], 125 ^ [90 ^ [_28306], _29857]))],extension(127 ^ 7,bind([[_48079, _48081], [90 ^ [_28306], _29857]]))).
% 1.56/2.42  ncf('1.1.1.2',plain,[-(r2(90 ^ [_28306], 125 ^ [90 ^ [_28306], _29857]))],extension(127 ^ 9,bind([[_48079, _48081], [90 ^ [_28306], _29857]]))).
% 1.56/2.42  ncf('1.1.1.3',plain,[-(125 ^ [90 ^ [_28306], _29857] = 125 ^ [90 ^ [_28306], _29857])],extension(2 ^ 9,bind([[_43434], [125 ^ [90 ^ [_28306], _29857]]]))).
% 1.56/2.42  ncf('1.2',plain,[-(r1(210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]])), 216 : r3(207 ^ [], 90 ^ [_28306], 165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]]), 216 : 165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]] = 101 ^ [90 ^ [_28306], 207 ^ []]],extension(209 ^ 3,bind([[_51593, _51595, _51881], [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []], 165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]]]]))).
% 1.56/2.42  ncf('1.2.1',plain,[-(r3(207 ^ [], 90 ^ [_28306], 165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]])), 107 : 165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]] = 101 ^ [90 ^ [_28306], 207 ^ []]],extension(103 ^ 6,bind([[_46937, _46939, _46941], [165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]], 90 ^ [_28306], 207 ^ []]]))).
% 1.56/2.42  ncf('1.2.1.1',plain,[-(165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]] = 101 ^ [90 ^ [_28306], 207 ^ []])],extension(172 ^ 9,bind([[_49979], [101 ^ [90 ^ [_28306], 207 ^ []]]]))).
% 1.56/2.42  ncf('1.2.2',plain,[-(165 ^ [101 ^ [90 ^ [_28306], 207 ^ []]] = 101 ^ [90 ^ [_28306], 207 ^ []])],extension(172 ^ 6,bind([[_49979], [101 ^ [90 ^ [_28306], 207 ^ []]]]))).
% 1.56/2.42  ncf('1.3',plain,[-(210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]] = 90 ^ [_28306]), 90 ^ [_28306] = 210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]]],extension(4 ^ 3,bind([[_43541, _43543], [210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]], 90 ^ [_28306]]]))).
% 1.56/2.42  ncf('1.3.1',plain,[-(90 ^ [_28306] = 210 ^ [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []]]), 216 : r3(207 ^ [], 90 ^ [_28306], 132 ^ [90 ^ [_28306], 207 ^ []]), 216 : 132 ^ [90 ^ [_28306], 207 ^ []] = 101 ^ [90 ^ [_28306], 207 ^ []]],extension(209 ^ 4,bind([[_51593, _51595, _51881], [90 ^ [_28306], 101 ^ [90 ^ [_28306], 207 ^ []], 132 ^ [90 ^ [_28306], 207 ^ []]]]))).
% 1.56/2.42  ncf('1.3.1.1',plain,[-(r3(207 ^ [], 90 ^ [_28306], 132 ^ [90 ^ [_28306], 207 ^ []]))],extension(136 ^ 7,bind([[_48394, _48396], [90 ^ [_28306], 207 ^ []]]))).
% 1.56/2.42  ncf('1.3.1.2',plain,[-(132 ^ [90 ^ [_28306], 207 ^ []] = 101 ^ [90 ^ [_28306], 207 ^ []]), 105 : r3(207 ^ [], 90 ^ [_28306], 132 ^ [90 ^ [_28306], 207 ^ []])],extension(103 ^ 7,bind([[_46937, _46939, _46941], [132 ^ [90 ^ [_28306], 207 ^ []], 90 ^ [_28306], 207 ^ []]]))).
% 1.56/2.42  ncf('1.3.1.2.1',plain,[-(r3(207 ^ [], 90 ^ [_28306], 132 ^ [90 ^ [_28306], 207 ^ []]))],lemmata('[3, 1].x')).
% 1.56/2.42  %-----------------------------------------------------
% 1.56/2.42  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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