TSTP Solution File: LCL688+1.001 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 11:33:51 EDT 2023

% Result   : Theorem 255.21s 249.51s
% Output   : Proof 255.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Thu May 18 15:58:49 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 255.21/249.51  
% 255.21/249.51  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 255.21/249.51  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 255.21/249.51  %-----------------------------------------------------
% 255.21/249.51  ncf(matrix, plain, [(127 ^ _33554) ^ [_38751] : [r1(123 ^ [], _38751), 131 ^ _33554 : [(134 ^ _33554) ^ [] : [p2(130 ^ [_38751])], (132 ^ _33554) ^ [] : [-(r1(_38751, 130 ^ [_38751]))]]], (111 ^ _33554) ^ [] : [-(r1(106 ^ [], 109 ^ []))], (108 ^ _33554) ^ [] : [-(r1(13 ^ [], 106 ^ []))], (4 ^ _33554) ^ [_33739, _33741, _33743] : [-(r1(_33743, _33739)), r1(_33743, _33741), r1(_33741, _33739)], (2 ^ _33554) ^ [_33638] : [-(r1(_33638, _33638))], (120 ^ _33554) ^ [] : [-(r1(106 ^ [], 118 ^ []))], (15 ^ _33554) ^ [_34563] : [r1(13 ^ [], _34563), p4(_34563)], (73 ^ _33554) ^ [] : [-(p1(13 ^ [])), 78 ^ _33554 : [(79 ^ _33554) ^ [_37080] : [r1(13 ^ [], _37080), 83 ^ _33554 : [(86 ^ _33554) ^ [] : [p1(82 ^ [_37080])], (84 ^ _33554) ^ [] : [-(r1(_37080, 82 ^ [_37080]))]]]], 88 ^ _33554 : [(89 ^ _33554) ^ [] : [-(r1(13 ^ [], 87 ^ []))], (93 ^ _33554) ^ [_37580] : [r1(87 ^ [], _37580), p1(_37580), 98 ^ _33554 : [(99 ^ _33554) ^ [_37757] : [r1(_37580, _37757), -(p1(_37757))]]], (91 ^ _33554) ^ [] : [p1(87 ^ [])]]], (122 ^ _33554) ^ [] : [p1(118 ^ [])], (113 ^ _33554) ^ [_38295] : [r1(109 ^ [], _38295), -(p1(_38295))], (21 ^ _33554) ^ [_34754] : [r1(13 ^ [], _34754), 24 ^ _33554 : [(39 ^ _33554) ^ [_35649] : [r1(_34754, _35649), 44 ^ _33554 : [(45 ^ _33554) ^ [_35908] : [r1(_35649, _35908), 49 ^ _33554 : [(50 ^ _33554) ^ [] : [-(r1(_35908, 48 ^ [_34754, _35649, _35908]))], (54 ^ _33554) ^ [] : [-(p2(_35908))], (52 ^ _33554) ^ [] : [p3(48 ^ [_34754, _35649, _35908])]]]], p2(_35649), 59 ^ _33554 : [(60 ^ _33554) ^ [_36409] : [r1(_35649, _36409), 64 ^ _33554 : [(67 ^ _33554) ^ [_36726] : [r1(63 ^ [_34754, _35649, _36409], _36726), p2(_36726)], (65 ^ _33554) ^ [] : [-(r1(_36409, 63 ^ [_34754, _35649, _36409]))]]]]], (25 ^ _33554) ^ [_35065] : [r1(_34754, _35065), 29 ^ _33554 : [(33 ^ _33554) ^ [] : [-(r1(28 ^ [_34754, _35065], 31 ^ [_34754, _35065]))], (35 ^ _33554) ^ [] : [p3(31 ^ [_34754, _35065])], (37 ^ _33554) ^ [] : [-(p2(28 ^ [_34754, _35065]))], (30 ^ _33554) ^ [] : [-(r1(_35065, 28 ^ [_34754, _35065]))]]]]], (125 ^ _33554) ^ [] : [-(r1(13 ^ [], 123 ^ []))], (136 ^ _33554) ^ [_39062] : [r1(13 ^ [], _39062), 152 ^ _33554 : [(155 ^ _33554) ^ [] : [-(p1(151 ^ [_39062]))], (153 ^ _33554) ^ [] : [-(r1(_39062, 151 ^ [_39062]))]], 141 ^ _33554 : [(142 ^ _33554) ^ [_39267] : [r1(_39062, _39267), 145 ^ _33554 : [(146 ^ _33554) ^ [_39411] : [r1(_39267, _39411), p1(_39411)]]]]]], input).
% 255.21/249.51  ncf('1',plain,[r1(123 ^ [], 28 ^ [123 ^ [], 123 ^ []]), 134 : p2(130 ^ [28 ^ [123 ^ [], 123 ^ []]])],start(127 ^ 0,bind([[_38751], [28 ^ [123 ^ [], 123 ^ []]]]))).
% 255.21/249.51  ncf('1.1',plain,[-(r1(123 ^ [], 28 ^ [123 ^ [], 123 ^ []])), r1(123 ^ [], 28 ^ [123 ^ [], 123 ^ []]), r1(28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []])],extension(4 ^ 1,bind([[_33739, _33741, _33743], [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 123 ^ []]]))).
% 255.21/249.51  ncf('1.1.1',plain,[-(r1(123 ^ [], 28 ^ [123 ^ [], 123 ^ []])), 25 : r1(123 ^ [], 123 ^ []), 25 : r1(13 ^ [], 123 ^ [])],extension(21 ^ 2,bind([[_34754, _35065], [123 ^ [], 123 ^ []]]))).
% 255.21/249.51  ncf('1.1.1.1',plain,[-(r1(123 ^ [], 123 ^ []))],extension(2 ^ 5,bind([[_33638], [123 ^ []]]))).
% 255.21/249.51  ncf('1.1.1.2',plain,[-(r1(13 ^ [], 123 ^ []))],extension(125 ^ 3)).
% 255.21/249.51  ncf('1.1.2',plain,[-(r1(28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]))],extension(2 ^ 2,bind([[_33638], [28 ^ [123 ^ [], 123 ^ []]]]))).
% 255.21/249.51  ncf('1.2',plain,[-(p2(130 ^ [28 ^ [123 ^ [], 123 ^ []]])), 45 : r1(28 ^ [123 ^ [], 123 ^ []], 130 ^ [28 ^ [123 ^ [], 123 ^ []]]), 45 : r1(28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]), 45 : p2(28 ^ [123 ^ [], 123 ^ []]), 60 : r1(28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]), 67 : r1(63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]], 28 ^ [28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]]), 67 : p2(28 ^ [28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]]), 39 : r1(13 ^ [], 28 ^ [123 ^ [], 123 ^ []])],extension(21 ^ 3,bind([[_34754, _35649, _35908, _36409, _36726], [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 130 ^ [28 ^ [123 ^ [], 123 ^ []]], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]]]]))).
% 255.21/249.51  ncf('1.2.1',plain,[-(r1(28 ^ [123 ^ [], 123 ^ []], 130 ^ [28 ^ [123 ^ [], 123 ^ []]]))],extension(132 ^ 8)).
% 255.21/249.51  ncf('1.2.2',plain,[-(r1(28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]))],extension(2 ^ 6,bind([[_33638], [28 ^ [123 ^ [], 123 ^ []]]]))).
% 255.21/249.51  ncf('1.2.3',plain,[-(p2(28 ^ [123 ^ [], 123 ^ []])), 25 : r1(123 ^ [], 123 ^ []), 25 : r1(13 ^ [], 123 ^ [])],extension(21 ^ 6,bind([[_34754, _35065], [123 ^ [], 123 ^ []]]))).
% 255.21/249.51  ncf('1.2.3.1',plain,[-(r1(123 ^ [], 123 ^ []))],extension(2 ^ 9,bind([[_33638], [123 ^ []]]))).
% 255.21/249.51  ncf('1.2.3.2',plain,[-(r1(13 ^ [], 123 ^ []))],extension(125 ^ 7)).
% 255.21/249.51  ncf('1.2.4',plain,[-(r1(28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]))],extension(2 ^ 8,bind([[_33638], [28 ^ [123 ^ [], 123 ^ []]]]))).
% 255.21/249.51  ncf('1.2.5',plain,[-(r1(63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]], 28 ^ [28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]])), r1(28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]])],extension(25 ^ 10,bind([[_35065], [63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]]]))).
% 255.21/249.51  ncf('1.2.5.1',plain,[-(r1(28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]))],extension(65 ^ 11)).
% 255.21/249.51  ncf('1.2.6',plain,[-(p2(28 ^ [28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]])), r1(28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]])],extension(25 ^ 10,bind([[_35065], [63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]]]))).
% 255.21/249.51  ncf('1.2.6.1',plain,[-(r1(28 ^ [123 ^ [], 123 ^ []], 63 ^ [28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []], 28 ^ [123 ^ [], 123 ^ []]]))],extension(65 ^ 11)).
% 255.21/249.51  ncf('1.2.7',plain,[-(r1(13 ^ [], 28 ^ [123 ^ [], 123 ^ []])), r1(13 ^ [], 123 ^ []), r1(123 ^ [], 28 ^ [123 ^ [], 123 ^ []])],extension(4 ^ 4,bind([[_33739, _33741, _33743], [28 ^ [123 ^ [], 123 ^ []], 123 ^ [], 13 ^ []]]))).
% 255.21/249.51  ncf('1.2.7.1',plain,[-(r1(13 ^ [], 123 ^ []))],extension(125 ^ 5)).
% 255.21/249.51  ncf('1.2.7.2',plain,[-(r1(123 ^ [], 28 ^ [123 ^ [], 123 ^ []]))],lemmata('x')).
% 255.21/249.51  %-----------------------------------------------------
% 255.21/249.51  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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