TSTP Solution File: NUN076+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 11:46:31 EDT 2023
% Result : Theorem 0.79s 1.39s
% Output : Proof 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n029.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 21:29:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.79/1.39
% 0.79/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.79/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.79/1.39 %-----------------------------------------------------
% 0.79/1.39 ncf(matrix, plain, [(224 ^ _50177) ^ [_59019, _59021, _59023] : [243 ^ _50177 : [(244 ^ _50177) ^ [_59892] : [id(_59892, _59023), r3(_59021, _59019, _59892)]], 225 ^ _50177 : [(226 ^ _50177) ^ [_59158] : [id(_59158, _59023), 229 ^ _50177 : [(230 ^ _50177) ^ [_59331] : [r4(_59331, _59021, _59158), 233 ^ _50177 : [(234 ^ _50177) ^ [_59500] : [r2(_59500, _59331), 237 ^ _50177 : [(238 ^ _50177) ^ [_59662] : [r1(_59662), r2(_59662, _59500)]]]]]]]]], (3 ^ _50177) ^ [_50338] : [4 ^ _50177 : [(5 ^ _50177) ^ [] : [-(id(_50338, 1 ^ []))], (7 ^ _50177) ^ [] : [-(r1(_50338))]], 8 ^ _50177 : [(9 ^ _50177) ^ [] : [r1(_50338)], (11 ^ _50177) ^ [] : [id(_50338, 1 ^ [])]]], (14 ^ _50177) ^ [_50753, _50755] : [15 ^ _50177 : [(16 ^ _50177) ^ [] : [-(id(_50753, 12 ^ [_50755]))], (18 ^ _50177) ^ [] : [-(r2(_50755, _50753))]], 19 ^ _50177 : [(20 ^ _50177) ^ [] : [r2(_50755, _50753)], (22 ^ _50177) ^ [] : [id(_50753, 12 ^ [_50755])]]], (25 ^ _50177) ^ [_51220, _51222, _51224] : [26 ^ _50177 : [(27 ^ _50177) ^ [] : [-(id(_51220, 23 ^ [_51222, _51224]))], (29 ^ _50177) ^ [] : [-(r3(_51224, _51222, _51220))]], 30 ^ _50177 : [(31 ^ _50177) ^ [] : [r3(_51224, _51222, _51220)], (33 ^ _50177) ^ [] : [id(_51220, 23 ^ [_51222, _51224])]]], (36 ^ _50177) ^ [_51709, _51711, _51713] : [37 ^ _50177 : [(38 ^ _50177) ^ [] : [-(id(_51709, 34 ^ [_51711, _51713]))], (40 ^ _50177) ^ [] : [-(r4(_51713, _51711, _51709))]], 41 ^ _50177 : [(42 ^ _50177) ^ [] : [r4(_51713, _51711, _51709)], (44 ^ _50177) ^ [] : [id(_51709, 34 ^ [_51711, _51713])]]], (46 ^ _50177) ^ [_52085] : [-(id(_52085, _52085))], (48 ^ _50177) ^ [_52192, _52194] : [id(_52194, _52192), -(id(_52192, _52194))], (54 ^ _50177) ^ [_52418, _52420, _52422] : [id(_52422, _52420), -(id(_52422, _52418)), id(_52420, _52418)], (64 ^ _50177) ^ [_52731, _52733] : [id(_52733, _52731), 69 ^ _50177 : [(70 ^ _50177) ^ [] : [r1(_52733)], (72 ^ _50177) ^ [] : [r1(_52731)]], 73 ^ _50177 : [(74 ^ _50177) ^ [] : [-(r1(_52733))], (76 ^ _50177) ^ [] : [-(r1(_52731))]]], (78 ^ _50177) ^ [_53205, _53207, _53209, _53211] : [id(_53211, _53207), id(_53209, _53205), 87 ^ _50177 : [(88 ^ _50177) ^ [] : [r2(_53211, _53209)], (90 ^ _50177) ^ [] : [r2(_53207, _53205)]], 91 ^ _50177 : [(92 ^ _50177) ^ [] : [-(r2(_53211, _53209))], (94 ^ _50177) ^ [] : [-(r2(_53207, _53205))]]], (96 ^ _50177) ^ [_53842, _53844, _53846, _53848, _53850, _53852] : [id(_53852, _53846), id(_53850, _53844), id(_53848, _53842), 109 ^ _50177 : [(110 ^ _50177) ^ [] : [r3(_53852, _53850, _53848)], (112 ^ _50177) ^ [] : [r3(_53846, _53844, _53842)]], 113 ^ _50177 : [(114 ^ _50177) ^ [] : [-(r3(_53852, _53850, _53848))], (116 ^ _50177) ^ [] : [-(r3(_53846, _53844, _53842))]]], (118 ^ _50177) ^ [_54630, _54632, _54634, _54636, _54638, _54640] : [id(_54640, _54634), id(_54638, _54632), id(_54636, _54630), 131 ^ _50177 : [(132 ^ _50177) ^ [] : [r4(_54640, _54638, _54636)], (134 ^ _50177) ^ [] : [r4(_54634, _54632, _54630)]], 135 ^ _50177 : [(136 ^ _50177) ^ [] : [-(r4(_54640, _54638, _54636))], (138 ^ _50177) ^ [] : [-(r4(_54634, _54632, _54630))]]], (142 ^ _50177) ^ [_55535, _55537] : [-(id(140 ^ [_55535, _55537], 139 ^ [_55535, _55537]))], (145 ^ _50177) ^ [_55670, _55672] : [-(r2(_55670, 143 ^ [_55670, _55672]))], (147 ^ _50177) ^ [_55723, _55725] : [-(r3(_55725, 143 ^ [_55723, _55725], 140 ^ [_55723, _55725]))], (150 ^ _50177) ^ [_55863, _55865] : [-(r2(148 ^ [_55863, _55865], 139 ^ [_55863, _55865]))], (152 ^ _50177) ^ [_55923, _55925] : [-(r3(_55925, _55923, 148 ^ [_55923, _55925]))], (156 ^ _50177) ^ [_56222, _56224] : [-(id(154 ^ [_56222, _56224], 153 ^ [_56222, _56224]))], (159 ^ _50177) ^ [_56357, _56359] : [-(r2(_56357, 157 ^ [_56357, _56359]))], (161 ^ _50177) ^ [_56410, _56412] : [-(r4(_56412, 157 ^ [_56410, _56412], 154 ^ [_56410, _56412]))], (164 ^ _50177) ^ [_56551, _56553] : [-(r3(162 ^ [_56551, _56553], _56553, 153 ^ [_56551, _56553]))], (166 ^ _50177) ^ [_56612, _56614] : [-(r4(_56614, _56612, 162 ^ [_56612, _56614]))], (168 ^ _50177) ^ [_56737, _56739] : [-(id(_56739, _56737)), 169 ^ _50177 : [(170 ^ _50177) ^ [_56846] : [r2(_56737, _56846), 171 ^ _50177 : [(172 ^ _50177) ^ [_56950] : [id(_56950, _56846), r2(_56739, _56950)]]]]], (183 ^ _50177) ^ [_57331] : [-(id(181 ^ [_57331], _57331))], (186 ^ _50177) ^ [_57450] : [-(r1(184 ^ [_57450]))], (188 ^ _50177) ^ [_57498] : [-(r3(_57498, 184 ^ [_57498], 181 ^ [_57498]))], (192 ^ _50177) ^ [_57747] : [-(r1(190 ^ [_57747]))], (194 ^ _50177) ^ [_57795] : [-(r4(_57795, 190 ^ [_57795], 189 ^ [_57795]))], (197 ^ _50177) ^ [_57921] : [-(id(189 ^ [_57921], 195 ^ [_57921]))], (199 ^ _50177) ^ [_57975] : [-(r1(195 ^ [_57975]))], (201 ^ _50177) ^ [_58078] : [203 ^ _50177 : [(204 ^ _50177) ^ [] : [-(id(_58078, 202 ^ [_58078]))], (206 ^ _50177) ^ [] : [-(r1(202 ^ [_58078]))]], 209 ^ _50177 : [(210 ^ _50177) ^ [] : [-(id(_58078, 208 ^ [_58078]))], (212 ^ _50177) ^ [] : [-(r2(207 ^ [_58078], 208 ^ [_58078]))]]], (214 ^ _50177) ^ [_58597, _58599] : [r2(_58599, _58597), 215 ^ _50177 : [(216 ^ _50177) ^ [_58694] : [id(_58694, _58597), r1(_58694)]]]], input).
% 0.79/1.39 ncf('1',plain,[244 : id(190 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), 244 : r3(190 ^ [12 ^ [12 ^ [1 ^ []]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]), 226 : id(195 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ []), 230 : r4(12 ^ [12 ^ [1 ^ []]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 195 ^ [12 ^ [12 ^ [1 ^ []]]]), 234 : r2(12 ^ [1 ^ []], 12 ^ [12 ^ [1 ^ []]]), 238 : r1(1 ^ []), 238 : r2(1 ^ [], 12 ^ [1 ^ []])],start(224 ^ 0,bind([[_59019, _59021, _59023, _59892, _59158, _59331, _59500, _59662], [184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ [], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 195 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]], 12 ^ [1 ^ []], 1 ^ []]]))).
% 0.79/1.39 ncf('1.1',plain,[-(id(190 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ [])), 9 : r1(190 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(3 ^ 3,bind([[_50338], [190 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.1.1',plain,[-(r1(190 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(192 ^ 6,bind([[_57747], [12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.2',plain,[-(r3(190 ^ [12 ^ [12 ^ [1 ^ []]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]])), id(190 ^ [12 ^ [12 ^ [1 ^ []]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]), id(184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]]), id(181 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]), 110 : r3(190 ^ [12 ^ [12 ^ [1 ^ []]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 181 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]])],extension(96 ^ 3,bind([[_53842, _53844, _53846, _53848, _53850, _53852], [190 ^ [12 ^ [12 ^ [1 ^ []]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 181 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.2.1',plain,[-(id(190 ^ [12 ^ [12 ^ [1 ^ []]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(46 ^ 4,bind([[_52085], [190 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.2.2',plain,[-(id(184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]]))],extension(46 ^ 4,bind([[_52085], [184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]]]]))).
% 0.79/1.39 ncf('1.2.3',plain,[-(id(181 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(183 ^ 4,bind([[_57331], [190 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.2.4',plain,[-(r3(190 ^ [12 ^ [12 ^ [1 ^ []]]], 184 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]], 181 ^ [190 ^ [12 ^ [12 ^ [1 ^ []]]]]))],extension(188 ^ 6,bind([[_57498], [190 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.3',plain,[-(id(195 ^ [12 ^ [12 ^ [1 ^ []]]], 1 ^ [])), 9 : r1(195 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(3 ^ 3,bind([[_50338], [195 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.3.1',plain,[-(r1(195 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(199 ^ 6,bind([[_57975], [12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.4',plain,[-(r4(12 ^ [12 ^ [1 ^ []]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 195 ^ [12 ^ [12 ^ [1 ^ []]]])), id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]]), id(190 ^ [12 ^ [12 ^ [1 ^ []]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]), id(189 ^ [12 ^ [12 ^ [1 ^ []]]], 195 ^ [12 ^ [12 ^ [1 ^ []]]]), 132 : r4(12 ^ [12 ^ [1 ^ []]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 189 ^ [12 ^ [12 ^ [1 ^ []]]])],extension(118 ^ 5,bind([[_54630, _54632, _54634, _54636, _54638, _54640], [195 ^ [12 ^ [12 ^ [1 ^ []]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]], 189 ^ [12 ^ [12 ^ [1 ^ []]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.4.1',plain,[-(id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]]))],extension(46 ^ 6,bind([[_52085], [12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.4.2',plain,[-(id(190 ^ [12 ^ [12 ^ [1 ^ []]]], 190 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(46 ^ 6,bind([[_52085], [190 ^ [12 ^ [12 ^ [1 ^ []]]]]]))).
% 0.79/1.39 ncf('1.4.3',plain,[-(id(189 ^ [12 ^ [12 ^ [1 ^ []]]], 195 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(197 ^ 6,bind([[_57921], [12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.4.4',plain,[-(r4(12 ^ [12 ^ [1 ^ []]], 190 ^ [12 ^ [12 ^ [1 ^ []]]], 189 ^ [12 ^ [12 ^ [1 ^ []]]]))],extension(194 ^ 8,bind([[_57795], [12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.5',plain,[-(r2(12 ^ [1 ^ []], 12 ^ [12 ^ [1 ^ []]])), 22 : id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]])],extension(14 ^ 7,bind([[_50753, _50755], [12 ^ [12 ^ [1 ^ []]], 12 ^ [1 ^ []]]]))).
% 0.79/1.39 ncf('1.5.1',plain,[-(id(12 ^ [12 ^ [1 ^ []]], 12 ^ [12 ^ [1 ^ []]]))],extension(46 ^ 10,bind([[_52085], [12 ^ [12 ^ [1 ^ []]]]]))).
% 0.79/1.39 ncf('1.6',plain,[-(r1(1 ^ [])), 11 : id(1 ^ [], 1 ^ [])],extension(3 ^ 9,bind([[_50338], [1 ^ []]]))).
% 0.79/1.39 ncf('1.6.1',plain,[-(id(1 ^ [], 1 ^ []))],extension(46 ^ 12,bind([[_52085], [1 ^ []]]))).
% 0.79/1.39 ncf('1.7',plain,[-(r2(1 ^ [], 12 ^ [1 ^ []])), 22 : id(12 ^ [1 ^ []], 12 ^ [1 ^ []])],extension(14 ^ 9,bind([[_50753, _50755], [12 ^ [1 ^ []], 1 ^ []]]))).
% 0.79/1.39 ncf('1.7.1',plain,[-(id(12 ^ [1 ^ []], 12 ^ [1 ^ []]))],extension(46 ^ 12,bind([[_52085], [12 ^ [1 ^ []]]]))).
% 0.79/1.39 %-----------------------------------------------------
% 0.79/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------