TSTP Solution File: SEU137+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 12:02:19 EDT 2023
% Result : Theorem 1.49s 2.41s
% Output : Proof 1.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 13:34:23 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.49/2.41
% 1.49/2.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.49/2.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.49/2.41 %-----------------------------------------------------
% 1.49/2.41 ncf(matrix, plain, [(534 ^ _76223) ^ [] : [-(subset(531 ^ [], 532 ^ []))], (536 ^ _76223) ^ [] : [532 ^ [] = set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ []))], (72 ^ _76223) ^ [_78638, _78640, _78642, _78644] : [-(set_intersection2(_78644, _78640) = set_intersection2(_78642, _78638)), _78644 = _78642, _78640 = _78638], (82 ^ _76223) ^ [_78997, _78999, _79001, _79003] : [-(set_union2(_79003, _78999) = set_union2(_79001, _78997)), _79003 = _79001, _78999 = _78997], (92 ^ _76223) ^ [_79336, _79338, _79340, _79342] : [-(set_difference(_79342, _79338) = set_difference(_79340, _79336)), _79342 = _79340, _79338 = _79336], (2 ^ _76223) ^ [_76367] : [-(_76367 = _76367)], (4 ^ _76223) ^ [_76474, _76476] : [_76476 = _76474, -(_76474 = _76476)], (10 ^ _76223) ^ [_76678, _76680, _76682] : [-(_76682 = _76678), _76682 = _76680, _76680 = _76678], (20 ^ _76223) ^ [_77019, _77021, _77023, _77025] : [-(disjoint(_77023, _77019)), disjoint(_77025, _77021), _77025 = _77023, _77021 = _77019], (34 ^ _76223) ^ [_77463, _77465, _77467, _77469] : [-(in(_77467, _77463)), in(_77469, _77465), _77469 = _77467, _77465 = _77463], (48 ^ _76223) ^ [_77879, _77881] : [-(empty(_77879)), _77881 = _77879, empty(_77881)], (58 ^ _76223) ^ [_78182, _78184, _78186, _78188] : [-(subset(_78186, _78182)), subset(_78188, _78184), _78188 = _78186, _78184 = _78182], (102 ^ _76223) ^ [_79677, _79679] : [in(_79679, _79677), in(_79677, _79679)], (108 ^ _76223) ^ [_79873, _79875] : [-(set_union2(_79875, _79873) = set_union2(_79873, _79875))], (110 ^ _76223) ^ [_79973, _79975] : [-(set_intersection2(_79975, _79973) = set_intersection2(_79973, _79975))], (112 ^ _76223) ^ [_80117, _80119] : [_80119 = _80117, 115 ^ _76223 : [(116 ^ _76223) ^ [] : [-(subset(_80119, _80117))], (118 ^ _76223) ^ [] : [-(subset(_80117, _80119))]]], (120 ^ _76223) ^ [_80354, _80356] : [-(_80356 = _80354), subset(_80356, _80354), subset(_80354, _80356)], (130 ^ _76223) ^ [_80670] : [_80670 = empty_set, 133 ^ _76223 : [(134 ^ _76223) ^ [_80783] : [in(_80783, _80670)]]], (136 ^ _76223) ^ [_80849] : [-(in(137 ^ [_80849], _80849)), -(_80849 = empty_set)], (165 ^ _76223) ^ [_81879, _81881, _81883] : [-(_81879 = set_union2(_81883, _81881)), 169 ^ _76223 : [(170 ^ _76223) ^ [] : [-(in(166 ^ [_81879, _81881, _81883], _81879))], (172 ^ _76223) ^ [] : [in(166 ^ [_81879, _81881, _81883], _81883)], (174 ^ _76223) ^ [] : [in(166 ^ [_81879, _81881, _81883], _81881)]], 175 ^ _76223 : [(182 ^ _76223) ^ [] : [in(166 ^ [_81879, _81881, _81883], _81879)], (176 ^ _76223) ^ [] : [-(in(166 ^ [_81879, _81881, _81883], _81883)), -(in(166 ^ [_81879, _81881, _81883], _81881))]]], (143 ^ _76223) ^ [_81154, _81156, _81158] : [_81154 = set_union2(_81158, _81156), 146 ^ _76223 : [(157 ^ _76223) ^ [_81614] : [158 ^ _76223 : [(159 ^ _76223) ^ [] : [in(_81614, _81158)], (161 ^ _76223) ^ [] : [in(_81614, _81156)]], -(in(_81614, _81154))], (147 ^ _76223) ^ [_81336] : [in(_81336, _81154), -(in(_81336, _81158)), -(in(_81336, _81156))]]], (196 ^ _76223) ^ [_82973, _82975] : [198 ^ _76223 : [(199 ^ _76223) ^ [] : [-(in(197 ^ [_82973, _82975], _82975))], (201 ^ _76223) ^ [] : [in(197 ^ [_82973, _82975], _82973)]], -(subset(_82975, _82973))], (186 ^ _76223) ^ [_82659, _82661] : [subset(_82661, _82659), 189 ^ _76223 : [(190 ^ _76223) ^ [_82796] : [in(_82796, _82661), -(in(_82796, _82659))]]], (227 ^ _76223) ^ [_84098, _84100, _84102] : [-(_84098 = set_intersection2(_84102, _84100)), 239 ^ _76223 : [(240 ^ _76223) ^ [] : [-(in(228 ^ [_84098, _84100, _84102], _84102))], (242 ^ _76223) ^ [] : [-(in(228 ^ [_84098, _84100, _84102], _84100))], (244 ^ _76223) ^ [] : [in(228 ^ [_84098, _84100, _84102], _84098)]], 231 ^ _76223 : [(232 ^ _76223) ^ [] : [-(in(228 ^ [_84098, _84100, _84102], _84098))], (234 ^ _76223) ^ [] : [in(228 ^ [_84098, _84100, _84102], _84102), in(228 ^ [_84098, _84100, _84102], _84100)]]], (205 ^ _76223) ^ [_83373, _83375, _83377] : [_83373 = set_intersection2(_83377, _83375), 208 ^ _76223 : [(209 ^ _76223) ^ [_83555] : [in(_83555, _83373), 212 ^ _76223 : [(213 ^ _76223) ^ [] : [-(in(_83555, _83377))], (215 ^ _76223) ^ [] : [-(in(_83555, _83375))]]], (217 ^ _76223) ^ [_83814] : [-(in(_83814, _83373)), in(_83814, _83377), in(_83814, _83375)]]], (270 ^ _76223) ^ [_85625, _85627, _85629] : [-(_85625 = set_difference(_85629, _85627)), 282 ^ _76223 : [(283 ^ _76223) ^ [] : [-(in(271 ^ [_85625, _85627, _85629], _85629))], (285 ^ _76223) ^ [] : [in(271 ^ [_85625, _85627, _85629], _85627)], (287 ^ _76223) ^ [] : [in(271 ^ [_85625, _85627, _85629], _85625)]], 274 ^ _76223 : [(275 ^ _76223) ^ [] : [-(in(271 ^ [_85625, _85627, _85629], _85625))], (277 ^ _76223) ^ [] : [in(271 ^ [_85625, _85627, _85629], _85629), -(in(271 ^ [_85625, _85627, _85629], _85627))]]], (248 ^ _76223) ^ [_84894, _84896, _84898] : [_84894 = set_difference(_84898, _84896), 251 ^ _76223 : [(252 ^ _76223) ^ [_85078] : [in(_85078, _84894), 255 ^ _76223 : [(256 ^ _76223) ^ [] : [-(in(_85078, _84898))], (258 ^ _76223) ^ [] : [in(_85078, _84896)]]], (260 ^ _76223) ^ [_85338] : [-(in(_85338, _84894)), in(_85338, _84898), -(in(_85338, _84896))]]], (291 ^ _76223) ^ [_86411, _86413] : [disjoint(_86413, _86411), -(set_intersection2(_86413, _86411) = empty_set)], (297 ^ _76223) ^ [_86579, _86581] : [set_intersection2(_86581, _86579) = empty_set, -(disjoint(_86581, _86579))], (303 ^ _76223) ^ [] : [true___, -(true___)], (309 ^ _76223) ^ [] : [true___, -(true___)], (315 ^ _76223) ^ [] : [true___, -(true___)], (321 ^ _76223) ^ [] : [true___, -(true___)], (327 ^ _76223) ^ [] : [-(empty(empty_set))], (329 ^ _76223) ^ [_87326, _87328] : [-(empty(_87328)), empty(set_union2(_87328, _87326))], (335 ^ _76223) ^ [_87542, _87544] : [-(empty(_87544)), empty(set_union2(_87542, _87544))], (341 ^ _76223) ^ [_87743, _87745] : [-(set_union2(_87745, _87745) = _87745)], (343 ^ _76223) ^ [_87840, _87842] : [-(set_intersection2(_87842, _87842) = _87842)], (345 ^ _76223) ^ [_87981, _87983] : [set_difference(_87983, _87981) = empty_set, -(subset(_87983, _87981))], (351 ^ _76223) ^ [_88149, _88151] : [subset(_88151, _88149), -(set_difference(_88151, _88149) = empty_set)], (358 ^ _76223) ^ [] : [-(empty(356 ^ []))], (361 ^ _76223) ^ [] : [empty(359 ^ [])], (363 ^ _76223) ^ [_88531, _88533] : [-(subset(_88533, _88533))], (365 ^ _76223) ^ [_88640, _88642] : [disjoint(_88642, _88640), -(disjoint(_88640, _88642))], (371 ^ _76223) ^ [_88850, _88852] : [subset(_88852, _88850), -(set_union2(_88852, _88850) = _88850)], (377 ^ _76223) ^ [_89051, _89053] : [-(subset(set_intersection2(_89053, _89051), _89053))], (379 ^ _76223) ^ [_89177, _89179, _89181] : [-(subset(_89181, set_intersection2(_89179, _89177))), subset(_89181, _89179), subset(_89181, _89177)], (389 ^ _76223) ^ [_89463] : [-(set_union2(_89463, empty_set) = _89463)], (391 ^ _76223) ^ [_89587, _89589, _89591] : [-(subset(_89591, _89587)), subset(_89591, _89589), subset(_89589, _89587)], (401 ^ _76223) ^ [_89910, _89912, _89914] : [subset(_89914, _89912), -(subset(set_intersection2(_89914, _89910), set_intersection2(_89912, _89910)))], (407 ^ _76223) ^ [_90138, _90140] : [subset(_90140, _90138), -(set_intersection2(_90140, _90138) = _90140)], (413 ^ _76223) ^ [_90325] : [-(set_intersection2(_90325, empty_set) = empty_set)], (415 ^ _76223) ^ [_90435, _90437] : [-(_90437 = _90435), 419 ^ _76223 : [(420 ^ _76223) ^ [] : [-(in(416 ^ [_90435, _90437], _90437))], (422 ^ _76223) ^ [] : [in(416 ^ [_90435, _90437], _90435)]], 423 ^ _76223 : [(424 ^ _76223) ^ [] : [-(in(416 ^ [_90435, _90437], _90435))], (426 ^ _76223) ^ [] : [in(416 ^ [_90435, _90437], _90437)]]], (430 ^ _76223) ^ [_90936] : [-(subset(empty_set, _90936))], (432 ^ _76223) ^ [_91057, _91059, _91061] : [subset(_91061, _91059), -(subset(set_difference(_91061, _91057), set_difference(_91059, _91057)))], (438 ^ _76223) ^ [_91270, _91272] : [-(subset(set_difference(_91272, _91270), _91272))], (440 ^ _76223) ^ [_91411, _91413] : [set_difference(_91413, _91411) = empty_set, -(subset(_91413, _91411))], (446 ^ _76223) ^ [_91579, _91581] : [subset(_91581, _91579), -(set_difference(_91581, _91579) = empty_set)], (452 ^ _76223) ^ [_91782, _91784] : [-(set_union2(_91784, set_difference(_91782, _91784)) = set_union2(_91784, _91782))], (454 ^ _76223) ^ [_91871] : [-(set_difference(_91871, empty_set) = _91871)], (456 ^ _76223) ^ [_92001, _92003] : [-(disjoint(_92003, _92001)), 460 ^ _76223 : [(461 ^ _76223) ^ [] : [-(in(459 ^ [_92001, _92003], _92003))], (463 ^ _76223) ^ [] : [-(in(459 ^ [_92001, _92003], _92001))]]], (465 ^ _76223) ^ [_92315, _92317] : [disjoint(_92317, _92315), 466 ^ _76223 : [(467 ^ _76223) ^ [_92407] : [in(_92407, _92317), in(_92407, _92315)]]], (475 ^ _76223) ^ [_92664] : [subset(_92664, empty_set), -(_92664 = empty_set)], (481 ^ _76223) ^ [_92853, _92855] : [-(set_difference(set_union2(_92855, _92853), _92853) = set_difference(_92855, _92853))], (483 ^ _76223) ^ [_92942] : [-(set_difference(empty_set, _92942) = empty_set)], (485 ^ _76223) ^ [_93072, _93074] : [-(disjoint(_93074, _93072)), -(in(488 ^ [_93072, _93074], set_intersection2(_93074, _93072)))], (492 ^ _76223) ^ [_93307, _93309] : [493 ^ _76223 : [(494 ^ _76223) ^ [_93380] : [in(_93380, set_intersection2(_93309, _93307))]], disjoint(_93309, _93307)], (498 ^ _76223) ^ [_93532] : [empty(_93532), -(_93532 = empty_set)], (504 ^ _76223) ^ [_93734, _93736] : [in(_93736, _93734), empty(_93734)], (510 ^ _76223) ^ [_93926, _93928] : [-(subset(_93928, set_union2(_93928, _93926)))], (512 ^ _76223) ^ [_94038, _94040] : [empty(_94040), -(_94040 = _94038), empty(_94038)], (522 ^ _76223) ^ [_94329, _94331, _94333] : [-(subset(set_union2(_94333, _94329), _94331)), subset(_94333, _94331), subset(_94329, _94331)]], input).
% 1.49/2.41 ncf('1',plain,[532 ^ [] = set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ []))],start(536 ^ 0)).
% 1.49/2.41 ncf('1.1',plain,[-(532 ^ [] = set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ []))), subset(532 ^ [], set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ []))), subset(set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ [])],extension(120 ^ 1,bind([[_80354, _80356], [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []]]))).
% 1.49/2.41 ncf('1.1.1',plain,[-(subset(532 ^ [], set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])))), 201 : in(197 ^ [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []], set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])))],extension(196 ^ 2,bind([[_82973, _82975], [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []]]))).
% 1.49/2.41 ncf('1.1.1.1',plain,[-(in(197 ^ [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []], set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])))), 161 : in(197 ^ [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []], 532 ^ []), 157 : set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])) = set_union2(531 ^ [], 532 ^ [])],extension(143 ^ 5,bind([[_81154, _81156, _81158, _81614], [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ [], 531 ^ [], 197 ^ [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []]]]))).
% 1.49/2.41 ncf('1.1.1.1.1',plain,[-(in(197 ^ [set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ []], 532 ^ []))],extension(199 ^ 10)).
% 1.49/2.41 ncf('1.1.1.1.2',plain,[-(set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])) = set_union2(531 ^ [], 532 ^ []))],extension(452 ^ 6,bind([[_91782, _91784], [532 ^ [], 531 ^ []]]))).
% 1.49/2.41 ncf('1.1.2',plain,[-(subset(set_union2(531 ^ [], set_difference(532 ^ [], 531 ^ [])), 532 ^ [])), subset(531 ^ [], 532 ^ []), subset(set_difference(532 ^ [], 531 ^ []), 532 ^ [])],extension(522 ^ 2,bind([[_94329, _94331, _94333], [set_difference(532 ^ [], 531 ^ []), 532 ^ [], 531 ^ []]]))).
% 1.49/2.41 ncf('1.1.2.1',plain,[-(subset(531 ^ [], 532 ^ []))],extension(534 ^ 3)).
% 1.49/2.41 ncf('1.1.2.2',plain,[-(subset(set_difference(532 ^ [], 531 ^ []), 532 ^ []))],extension(438 ^ 3,bind([[_91270, _91272], [531 ^ [], 532 ^ []]]))).
% 1.49/2.41 %-----------------------------------------------------
% 1.49/2.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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