TSTP Solution File: SYN036+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SYN036+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 12:33:17 EDT 2023
% Result : Theorem 0.42s 1.41s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN036+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.14 % Command : nanocop.sh %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:22:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.42/1.41
% 0.42/1.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.42/1.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.41 %-----------------------------------------------------
% 0.42/1.41 ncf(matrix, plain, [(2 ^ _125414) ^ [] : [3 ^ _125414 : [(58 ^ _125414) ^ [] : [60 ^ _125414 : [(73 ^ _125414) ^ [] : [75 ^ _125414 : [(76 ^ _125414) ^ [] : [-(big_p(74 ^ []))], (79 ^ _125414) ^ [] : [big_p(77 ^ [])]], 80 ^ _125414 : [(81 ^ _125414) ^ [_127726] : [-(big_p(_127726))], (83 ^ _125414) ^ [_127782] : [big_p(_127782)]]], (61 ^ _125414) ^ [_127214] : [big_q(59 ^ []), -(big_q(_127214))], (67 ^ _125414) ^ [_127362] : [big_q(_127362), -(big_q(59 ^ []))]], 84 ^ _125414 : [(100 ^ _125414) ^ [_128287] : [101 ^ _125414 : [(102 ^ _125414) ^ [] : [-(big_q(_128287))], (104 ^ _125414) ^ [] : [big_q(98 ^ [_128287])]], 105 ^ _125414 : [(106 ^ _125414) ^ [] : [-(big_q(98 ^ [_128287]))], (108 ^ _125414) ^ [] : [big_q(_128287)]]], (85 ^ _125414) ^ [] : [86 ^ _125414 : [(87 ^ _125414) ^ [_127927] : [big_p(_127927)]], 88 ^ _125414 : [(89 ^ _125414) ^ [_127984] : [-(big_p(_127984))]]], (91 ^ _125414) ^ [] : [big_p(92 ^ []), -(big_p(95 ^ []))]]], (4 ^ _125414) ^ [] : [6 ^ _125414 : [(7 ^ _125414) ^ [_125634] : [8 ^ _125414 : [(9 ^ _125414) ^ [] : [-(big_p(_125634))], (11 ^ _125414) ^ [] : [big_p(5 ^ [_125634])]], 12 ^ _125414 : [(13 ^ _125414) ^ [] : [-(big_p(5 ^ [_125634]))], (15 ^ _125414) ^ [] : [big_p(_125634)]]]], 16 ^ _125414 : [(17 ^ _125414) ^ [] : [18 ^ _125414 : [(19 ^ _125414) ^ [_126004] : [big_q(_126004)]], 20 ^ _125414 : [(21 ^ _125414) ^ [_126061] : [-(big_q(_126061))]]], (23 ^ _125414) ^ [] : [big_q(24 ^ []), -(big_q(27 ^ []))]]], (31 ^ _125414) ^ [] : [35 ^ _125414 : [(36 ^ _125414) ^ [] : [-(big_q(34 ^ []))], (39 ^ _125414) ^ [] : [big_q(37 ^ [])]], 40 ^ _125414 : [(41 ^ _125414) ^ [_126551] : [-(big_q(_126551))], (43 ^ _125414) ^ [_126607] : [big_q(_126607)]], 45 ^ _125414 : [(46 ^ _125414) ^ [_126762] : [big_p(44 ^ []), -(big_p(_126762))], (52 ^ _125414) ^ [_126910] : [big_p(_126910), -(big_p(44 ^ []))]]]], 109 ^ _125414 : [(164 ^ _125414) ^ [] : [166 ^ _125414 : [(179 ^ _125414) ^ [] : [181 ^ _125414 : [(182 ^ _125414) ^ [] : [-(big_q(180 ^ []))], (185 ^ _125414) ^ [] : [big_q(183 ^ [])]], 186 ^ _125414 : [(187 ^ _125414) ^ [_130847] : [-(big_q(_130847))], (189 ^ _125414) ^ [_130903] : [big_q(_130903)]]], (167 ^ _125414) ^ [_130335] : [big_p(165 ^ []), -(big_p(_130335))], (173 ^ _125414) ^ [_130483] : [big_p(_130483), -(big_p(165 ^ []))]], 190 ^ _125414 : [(206 ^ _125414) ^ [_131408] : [207 ^ _125414 : [(208 ^ _125414) ^ [] : [-(big_p(_131408))], (210 ^ _125414) ^ [] : [big_p(204 ^ [_131408])]], 211 ^ _125414 : [(212 ^ _125414) ^ [] : [-(big_p(204 ^ [_131408]))], (214 ^ _125414) ^ [] : [big_p(_131408)]]], (191 ^ _125414) ^ [] : [192 ^ _125414 : [(193 ^ _125414) ^ [_131048] : [big_q(_131048)]], 194 ^ _125414 : [(195 ^ _125414) ^ [_131105] : [-(big_q(_131105))]]], (197 ^ _125414) ^ [] : [big_q(198 ^ []), -(big_q(201 ^ []))]]], (110 ^ _125414) ^ [] : [112 ^ _125414 : [(113 ^ _125414) ^ [_128755] : [114 ^ _125414 : [(115 ^ _125414) ^ [] : [-(big_q(_128755))], (117 ^ _125414) ^ [] : [big_q(111 ^ [_128755])]], 118 ^ _125414 : [(119 ^ _125414) ^ [] : [-(big_q(111 ^ [_128755]))], (121 ^ _125414) ^ [] : [big_q(_128755)]]]], 122 ^ _125414 : [(123 ^ _125414) ^ [] : [124 ^ _125414 : [(125 ^ _125414) ^ [_129125] : [big_p(_129125)]], 126 ^ _125414 : [(127 ^ _125414) ^ [_129182] : [-(big_p(_129182))]]], (129 ^ _125414) ^ [] : [big_p(130 ^ []), -(big_p(133 ^ []))]]], (137 ^ _125414) ^ [] : [141 ^ _125414 : [(142 ^ _125414) ^ [] : [-(big_p(140 ^ []))], (145 ^ _125414) ^ [] : [big_p(143 ^ [])]], 146 ^ _125414 : [(147 ^ _125414) ^ [_129672] : [-(big_p(_129672))], (149 ^ _125414) ^ [_129728] : [big_p(_129728)]], 151 ^ _125414 : [(152 ^ _125414) ^ [_129883] : [big_q(150 ^ []), -(big_q(_129883))], (158 ^ _125414) ^ [_130031] : [big_q(_130031), -(big_q(150 ^ []))]]]]]], input).
% 0.42/1.41 ncf('1',plain,[79 : big_p(77 ^ []), 83 : big_p(_6239), 104 : big_q(98 ^ [98 ^ [_51092]]), 108 : big_q(98 ^ [_51092]), 185 : big_q(183 ^ []), 189 : big_q(_9360), 210 : big_p(204 ^ [204 ^ [_108234]]), 214 : big_p(204 ^ [_108234])],start(2 ^ 0,bind([[_127782, _128287, _130903, _131408], [_6239, 98 ^ [_51092], _9360, 204 ^ [_108234]]]))).
% 0.42/1.41 ncf('1.1',plain,[-(big_p(77 ^ [])), 46 : big_p(44 ^ []), 36 : -(big_q(34 ^ [])), 41 : -(big_q(59 ^ []))],extension(31 ^ 7,bind([[_126762, _126551], [77 ^ [], 59 ^ []]]))).
% 0.42/1.41 ncf('1.1.1',plain,[-(big_p(44 ^ [])), big_p(74 ^ [])],extension(52 ^ 10,bind([[_126910], [74 ^ []]]))).
% 0.42/1.41 ncf('1.1.1.1',plain,[-(big_p(74 ^ []))],extension(76 ^ 11)).
% 0.42/1.41 ncf('1.1.2',plain,[big_q(34 ^ []), -(big_q(59 ^ []))],extension(67 ^ 10,bind([[_127362], [34 ^ []]]))).
% 0.42/1.41 ncf('1.1.2.1',plain,[big_q(59 ^ []), -(big_q(37 ^ []))],extension(61 ^ 11,bind([[_127214], [37 ^ []]]))).
% 0.42/1.41 ncf('1.1.2.1.1',plain,[big_q(37 ^ [])],extension(39 ^ 12)).
% 0.42/1.41 ncf('1.1.3',plain,[big_q(59 ^ []), -(big_q(_26435))],extension(61 ^ 10,bind([[_127214], [_26435]]))).
% 0.42/1.41 ncf('1.1.3.1',plain,[big_q(_26435)],extension(43 ^ 11,bind([[_126607], [_26435]]))).
% 0.42/1.41 ncf('1.2',plain,[-(big_p(_6239))],extension(81 ^ 7,bind([[_127726], [_6239]]))).
% 0.42/1.41 ncf('1.3',plain,[-(big_q(98 ^ [98 ^ [_51092]])), 19 : big_q(98 ^ [_51092]), 9 : -(big_p(_34698)), 13 : -(big_p(5 ^ [_34698]))],extension(4 ^ 7,bind([[_126061, _126004, _125634], [98 ^ [98 ^ [_51092]], 98 ^ [_51092], _34698]]))).
% 0.42/1.41 ncf('1.3.1',plain,[-(big_q(98 ^ [_51092]))],extension(102 ^ 12)).
% 0.42/1.41 ncf('1.3.2',plain,[big_p(_34698), 89 : -(big_p(5 ^ [_34698]))],extension(85 ^ 12,bind([[_127927, _127984], [_34698, 5 ^ [_34698]]]))).
% 0.42/1.41 ncf('1.3.2.1',plain,[big_p(5 ^ [_34698])],extension(11 ^ 15)).
% 0.42/1.41 ncf('1.3.3',plain,[big_p(5 ^ [_34698]), 89 : -(big_p(5 ^ [5 ^ [_34698]]))],extension(85 ^ 12,bind([[_127927, _127984], [5 ^ [_34698], 5 ^ [5 ^ [_34698]]]]))).
% 0.42/1.41 ncf('1.3.3.1',plain,[big_p(5 ^ [5 ^ [_34698]]), 15 : big_p(5 ^ [_34698])],extension(7 ^ 15,bind([[_125634], [5 ^ [_34698]]]))).
% 0.42/1.41 ncf('1.3.3.1.1',plain,[-(big_p(5 ^ [_34698]))],reduction('1.3')).
% 0.42/1.41 ncf('1.4',plain,[-(big_q(98 ^ [_51092])), 19 : big_q(_51092), 9 : -(big_p(_51117)), 13 : -(big_p(5 ^ [_51117]))],extension(4 ^ 7,bind([[_126061, _126004, _125634], [98 ^ [_51092], _51092, _51117]]))).
% 0.42/1.41 ncf('1.4.1',plain,[-(big_q(_51092)), 106 : -(big_q(98 ^ [_51092]))],extension(100 ^ 12,bind([[_128287], [_51092]]))).
% 0.42/1.41 ncf('1.4.1.1',plain,[big_q(98 ^ [_51092])],reduction('1')).
% 0.42/1.41 ncf('1.4.2',plain,[big_p(_51117), 89 : -(big_p(5 ^ [_51117]))],extension(85 ^ 12,bind([[_127927, _127984], [_51117, 5 ^ [_51117]]]))).
% 0.42/1.41 ncf('1.4.2.1',plain,[big_p(5 ^ [_51117])],extension(11 ^ 15)).
% 0.42/1.41 ncf('1.4.3',plain,[big_p(5 ^ [_51117]), 89 : -(big_p(5 ^ [5 ^ [_51117]]))],extension(85 ^ 12,bind([[_127927, _127984], [5 ^ [_51117], 5 ^ [5 ^ [_51117]]]]))).
% 0.42/1.41 ncf('1.4.3.1',plain,[big_p(5 ^ [5 ^ [_51117]]), 15 : big_p(5 ^ [_51117])],extension(7 ^ 15,bind([[_125634], [5 ^ [_51117]]]))).
% 0.42/1.41 ncf('1.4.3.1.1',plain,[-(big_p(5 ^ [_51117]))],reduction('1.4')).
% 0.42/1.41 ncf('1.5',plain,[-(big_q(183 ^ [])), 152 : big_q(150 ^ []), 142 : -(big_p(140 ^ [])), 147 : -(big_p(165 ^ []))],extension(137 ^ 7,bind([[_129883, _129672], [183 ^ [], 165 ^ []]]))).
% 0.42/1.41 ncf('1.5.1',plain,[-(big_q(150 ^ [])), big_q(180 ^ [])],extension(158 ^ 10,bind([[_130031], [180 ^ []]]))).
% 0.42/1.41 ncf('1.5.1.1',plain,[-(big_q(180 ^ []))],extension(182 ^ 11)).
% 0.42/1.41 ncf('1.5.2',plain,[big_p(140 ^ []), -(big_p(165 ^ []))],extension(173 ^ 10,bind([[_130483], [140 ^ []]]))).
% 0.42/1.41 ncf('1.5.2.1',plain,[big_p(165 ^ []), -(big_p(143 ^ []))],extension(167 ^ 11,bind([[_130335], [143 ^ []]]))).
% 0.42/1.41 ncf('1.5.2.1.1',plain,[big_p(143 ^ [])],extension(145 ^ 12)).
% 0.42/1.41 ncf('1.5.3',plain,[big_p(165 ^ []), -(big_p(_83541))],extension(167 ^ 10,bind([[_130335], [_83541]]))).
% 0.42/1.41 ncf('1.5.3.1',plain,[big_p(_83541)],extension(149 ^ 11,bind([[_129728], [_83541]]))).
% 0.42/1.41 ncf('1.6',plain,[-(big_q(_9360))],extension(187 ^ 7,bind([[_130847], [_9360]]))).
% 0.42/1.41 ncf('1.7',plain,[-(big_p(204 ^ [204 ^ [_108234]])), 125 : big_p(204 ^ [_108234]), 115 : -(big_q(_91816)), 119 : -(big_q(111 ^ [_91816]))],extension(110 ^ 7,bind([[_129182, _129125, _128755], [204 ^ [204 ^ [_108234]], 204 ^ [_108234], _91816]]))).
% 0.42/1.41 ncf('1.7.1',plain,[-(big_p(204 ^ [_108234]))],extension(208 ^ 12)).
% 0.42/1.41 ncf('1.7.2',plain,[big_q(_91816), 195 : -(big_q(111 ^ [_91816]))],extension(191 ^ 12,bind([[_131048, _131105], [_91816, 111 ^ [_91816]]]))).
% 0.42/1.41 ncf('1.7.2.1',plain,[big_q(111 ^ [_91816])],extension(117 ^ 15)).
% 0.42/1.41 ncf('1.7.3',plain,[big_q(111 ^ [_91816]), 195 : -(big_q(111 ^ [111 ^ [_91816]]))],extension(191 ^ 12,bind([[_131048, _131105], [111 ^ [_91816], 111 ^ [111 ^ [_91816]]]]))).
% 0.42/1.41 ncf('1.7.3.1',plain,[big_q(111 ^ [111 ^ [_91816]]), 121 : big_q(111 ^ [_91816])],extension(113 ^ 15,bind([[_128755], [111 ^ [_91816]]]))).
% 0.42/1.41 ncf('1.7.3.1.1',plain,[-(big_q(111 ^ [_91816]))],reduction('1.7')).
% 0.42/1.41 ncf('1.8',plain,[-(big_p(204 ^ [_108234])), 125 : big_p(_108234), 115 : -(big_q(_108259)), 119 : -(big_q(111 ^ [_108259]))],extension(110 ^ 7,bind([[_129182, _129125, _128755], [204 ^ [_108234], _108234, _108259]]))).
% 0.42/1.41 ncf('1.8.1',plain,[-(big_p(_108234)), 212 : -(big_p(204 ^ [_108234]))],extension(206 ^ 12,bind([[_131408], [_108234]]))).
% 0.42/1.41 ncf('1.8.1.1',plain,[big_p(204 ^ [_108234])],reduction('1')).
% 0.42/1.41 ncf('1.8.2',plain,[big_q(_108259), 195 : -(big_q(111 ^ [_108259]))],extension(191 ^ 12,bind([[_131048, _131105], [_108259, 111 ^ [_108259]]]))).
% 0.42/1.41 ncf('1.8.2.1',plain,[big_q(111 ^ [_108259])],extension(117 ^ 15)).
% 0.42/1.41 ncf('1.8.3',plain,[big_q(111 ^ [_108259]), 195 : -(big_q(111 ^ [111 ^ [_108259]]))],extension(191 ^ 12,bind([[_131048, _131105], [111 ^ [_108259], 111 ^ [111 ^ [_108259]]]]))).
% 0.42/1.41 ncf('1.8.3.1',plain,[big_q(111 ^ [111 ^ [_108259]]), 121 : big_q(111 ^ [_108259])],extension(113 ^ 15,bind([[_128755], [111 ^ [_108259]]]))).
% 0.42/1.41 ncf('1.8.3.1.1',plain,[-(big_q(111 ^ [_108259]))],reduction('1.8')).
% 0.42/1.41 %-----------------------------------------------------
% 0.42/1.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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