TSTP Solution File: SEU208+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 12:02:39 EDT 2023
% Result : Theorem 43.23s 42.71s
% Output : Proof 43.23s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n024.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 13:19:51 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.23/42.71
% 43.23/42.71 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.23/42.71 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.23/42.71 %-----------------------------------------------------
% 43.23/42.71 ncf(matrix, plain, [(346 ^ _68348) ^ [] : [360 ^ _68348 : [(363 ^ _68348) ^ [] : [-(in(ordered_pair(340 ^ [], 359 ^ []), 342 ^ []))], (365 ^ _68348) ^ [] : [-(in(359 ^ [], 341 ^ []))], (367 ^ _68348) ^ [] : [in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ []))], (361 ^ _68348) ^ [] : [-(in(359 ^ [], relation_rng(342 ^ [])))]], 347 ^ _68348 : [(350 ^ _68348) ^ [_68552] : [in(_68552, relation_rng(342 ^ [])), in(ordered_pair(340 ^ [], _68552), 342 ^ []), in(_68552, 341 ^ [])], (348 ^ _68348) ^ [] : [-(in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])))]]], (344 ^ _68348) ^ [] : [-(relation(342 ^ []))], !, (218 ^ _56712) ^ [] : [true___, -(true___)], (257 ^ _56712) ^ [] : [-(empty(empty_set))], (301 ^ _56712) ^ [] : [empty(299 ^ [])], (122 ^ _56712) ^ [_60823, _60825] : [-(unordered_pair(_60825, _60823) = unordered_pair(_60823, _60825))], (319 ^ _56712) ^ [_67401] : [empty(_67401), -(_67401 = empty_set)], (2 ^ _56712) ^ [_56836] : [-(_56836 = _56836)], (68 ^ _56712) ^ [_58930, _58932] : [_58932 = _58930, -(singleton(_58932) = singleton(_58930))], (4 ^ _56712) ^ [_56943, _56945] : [_56945 = _56943, -(_56943 = _56945)], (94 ^ _56712) ^ [_59866, _59868] : [_59868 = _59866, -(relation_rng(_59868) = relation_rng(_59866))], (236 ^ _56712) ^ [] : [true___, -(true___)], (124 ^ _56712) ^ [_60924] : [relation(_60924), 127 ^ _56712 : [(128 ^ _56712) ^ [_61131, _61133] : [_61131 = relation_inverse_image(_60924, _61133), 131 ^ _56712 : [(141 ^ _56712) ^ [_61677] : [-(in(_61677, _61131)), 142 ^ _56712 : [(143 ^ _56712) ^ [_61782] : [in(ordered_pair(_61677, _61782), _60924), in(_61782, _61133)]]], (132 ^ _56712) ^ [_61323] : [in(_61323, _61131), 136 ^ _56712 : [(139 ^ _56712) ^ [] : [-(in(135 ^ [_60924, _61131, _61133, _61323], _61133))], (137 ^ _56712) ^ [] : [-(in(ordered_pair(_61323, 135 ^ [_60924, _61131, _61133, _61323]), _60924))]]]]], (151 ^ _56712) ^ [_62037, _62039] : [-(_62037 = relation_inverse_image(_60924, _62039)), 164 ^ _56712 : [(169 ^ _56712) ^ [] : [in(152 ^ [_60924, _62037, _62039], _62037)], (167 ^ _56712) ^ [] : [-(in(163 ^ [_60924, _62037, _62039], _62039))], (165 ^ _56712) ^ [] : [-(in(ordered_pair(152 ^ [_60924, _62037, _62039], 163 ^ [_60924, _62037, _62039]), _60924))]], 155 ^ _56712 : [(158 ^ _56712) ^ [_62341] : [in(ordered_pair(152 ^ [_60924, _62037, _62039], _62341), _60924), in(_62341, _62039)], (156 ^ _56712) ^ [] : [-(in(152 ^ [_60924, _62037, _62039], _62037))]]]]], (309 ^ _56712) ^ [_67117, _67119] : [element(_67119, _67117), -(empty(_67117)), -(in(_67119, _67117))], (269 ^ _56712) ^ [_65873] : [empty(relation_rng(_65873)), -(empty(_65873)), relation(_65873)], (224 ^ _56712) ^ [] : [true___, -(true___)], (303 ^ _56712) ^ [_66907, _66909] : [in(_66909, _66907), -(element(_66909, _66907))], (34 ^ _56712) ^ [_57904, _57906] : [-(empty(_57904)), _57906 = _57904, empty(_57906)], (230 ^ _56712) ^ [] : [true___, -(true___)], (248 ^ _56712) ^ [] : [true___, -(true___)], (44 ^ _56712) ^ [_58199, _58201] : [-(relation(_58199)), _58201 = _58199, relation(_58201)], (110 ^ _56712) ^ [_60441, _60443] : [in(_60443, _60441), in(_60441, _60443)], (279 ^ _56712) ^ [_66150] : [empty(_66150), 282 ^ _56712 : [(285 ^ _56712) ^ [] : [-(relation(relation_rng(_66150)))], (283 ^ _56712) ^ [] : [-(empty(relation_rng(_66150)))]]], (267 ^ _56712) ^ [] : [-(relation(empty_set))], (74 ^ _56712) ^ [_59176, _59178, _59180, _59182] : [-(unordered_pair(_59182, _59178) = unordered_pair(_59180, _59176)), _59182 = _59180, _59178 = _59176], (242 ^ _56712) ^ [] : [true___, -(true___)], (331 ^ _56712) ^ [_67790, _67792] : [empty(_67792), -(_67792 = _67790), empty(_67790)], (10 ^ _56712) ^ [_57147, _57149, _57151] : [-(_57151 = _57147), _57151 = _57149, _57149 = _57147], (173 ^ _56712) ^ [_62943] : [relation(_62943), 176 ^ _56712 : [(177 ^ _56712) ^ [_63124] : [_63124 = relation_rng(_62943), 180 ^ _56712 : [(188 ^ _56712) ^ [_63548] : [189 ^ _56712 : [(190 ^ _56712) ^ [_63627] : [in(ordered_pair(_63627, _63548), _62943)]], -(in(_63548, _63124))], (181 ^ _56712) ^ [_63304] : [in(_63304, _63124), -(in(ordered_pair(184 ^ [_62943, _63124, _63304], _63304), _62943))]]], (194 ^ _56712) ^ [_63755] : [-(_63755 = relation_rng(_62943)), 198 ^ _56712 : [(201 ^ _56712) ^ [_64018] : [in(ordered_pair(_64018, 195 ^ [_62943, _63755]), _62943)], (199 ^ _56712) ^ [] : [-(in(195 ^ [_62943, _63755], _63755))]], 203 ^ _56712 : [(206 ^ _56712) ^ [] : [in(195 ^ [_62943, _63755], _63755)], (204 ^ _56712) ^ [] : [-(in(ordered_pair(202 ^ [_62943, _63755], 195 ^ [_62943, _63755]), _62943))]]]]], (298 ^ _56712) ^ [] : [-(relation(294 ^ []))], (263 ^ _56712) ^ [_65668, _65670] : [empty(unordered_pair(_65670, _65668))], (100 ^ _56712) ^ [_60092, _60094, _60096, _60098] : [-(ordered_pair(_60098, _60094) = ordered_pair(_60096, _60092)), _60098 = _60096, _60094 = _60092], (210 ^ _56712) ^ [_64383, _64385] : [-(ordered_pair(_64385, _64383) = unordered_pair(unordered_pair(_64385, _64383), singleton(_64385)))], (116 ^ _56712) ^ [_60638] : [empty(_60638), -(relation(_60638))], (325 ^ _56712) ^ [_67603, _67605] : [in(_67605, _67603), empty(_67603)], (261 ^ _56712) ^ [_65576] : [empty(singleton(_65576))], (259 ^ _56712) ^ [_65495, _65497] : [empty(ordered_pair(_65497, _65495))], (290 ^ _56712) ^ [] : [-(relation(286 ^ []))], (293 ^ _56712) ^ [] : [-(empty(291 ^ []))], (84 ^ _56712) ^ [_59535, _59537, _59539, _59541] : [-(relation_inverse_image(_59541, _59537) = relation_inverse_image(_59539, _59535)), _59541 = _59539, _59537 = _59535], (296 ^ _56712) ^ [] : [empty(294 ^ [])], (288 ^ _56712) ^ [] : [-(empty(286 ^ []))], (255 ^ _56712) ^ [_65346] : [-(element(253 ^ [_65346], _65346))], (54 ^ _56712) ^ [_58502, _58504, _58506, _58508] : [-(in(_58506, _58502)), in(_58508, _58504), _58508 = _58506, _58504 = _58502], (20 ^ _56712) ^ [_57488, _57490, _57492, _57494] : [-(element(_57492, _57488)), element(_57494, _57490), _57494 = _57492, _57490 = _57488], (212 ^ _56712) ^ [] : [true___, -(true___)], (265 ^ _56712) ^ [] : [-(empty(empty_set))]], input).
% 43.23/42.71 ncf('1',plain,[363 : -(in(ordered_pair(340 ^ [], 359 ^ []), 342 ^ [])), 350 : in(135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], relation_rng(342 ^ [])), 350 : in(ordered_pair(340 ^ [], 135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]), 342 ^ []), 350 : in(135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 341 ^ [])],start(346 ^ 0,bind([[_68552], [135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]]))).
% 43.23/42.71 ncf('1.1',plain,[in(ordered_pair(340 ^ [], 359 ^ []), 342 ^ []), 143 : in(359 ^ [], 341 ^ []), 143 : -(in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ []))), 141 : relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 3,bind([[_60924, _61131, _61133, _61677, _61782], [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ [], 359 ^ []]]))).
% 43.23/42.71 ncf('1.1.1',plain,[-(in(359 ^ [], 341 ^ []))],extension(365 ^ 10)).
% 43.23/42.71 ncf('1.1.2',plain,[in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ []))],extension(367 ^ 8)).
% 43.23/42.71 ncf('1.1.3',plain,[-(relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []))],extension(2 ^ 6,bind([[_56836], [relation_inverse_image(342 ^ [], 341 ^ [])]]))).
% 43.23/42.71 ncf('1.1.4',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.23/42.71 ncf('1.2',plain,[-(in(135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], relation_rng(342 ^ []))), 190 : in(ordered_pair(340 ^ [], 135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]), 342 ^ []), 188 : relation_rng(342 ^ []) = relation_rng(342 ^ []), 177 : relation(342 ^ [])],extension(173 ^ 3,bind([[_62943, _63124, _63548, _63627], [342 ^ [], relation_rng(342 ^ []), 135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 340 ^ []]]))).
% 43.23/42.71 ncf('1.2.1',plain,[-(in(ordered_pair(340 ^ [], 135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]), 342 ^ [])), 132 : in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])), 132 : relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 10,bind([[_60924, _61131, _61133, _61323], [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]))).
% 43.23/42.71 ncf('1.2.1.1',plain,[-(in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])))],extension(348 ^ 15)).
% 43.23/42.71 ncf('1.2.1.2',plain,[-(relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []))],extension(2 ^ 13,bind([[_56836], [relation_inverse_image(342 ^ [], 341 ^ [])]]))).
% 43.23/42.71 ncf('1.2.1.3',plain,[-(relation(342 ^ []))],extension(344 ^ 11)).
% 43.23/42.71 ncf('1.2.2',plain,[-(relation_rng(342 ^ []) = relation_rng(342 ^ []))],extension(2 ^ 6,bind([[_56836], [relation_rng(342 ^ [])]]))).
% 43.23/42.71 ncf('1.2.3',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.23/42.71 ncf('1.3',plain,[-(in(ordered_pair(340 ^ [], 135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]), 342 ^ [])), 132 : in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])), 132 : relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 3,bind([[_60924, _61131, _61133, _61323], [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]))).
% 43.23/42.71 ncf('1.3.1',plain,[-(in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])))],extension(348 ^ 8)).
% 43.23/42.71 ncf('1.3.2',plain,[-(relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []))],extension(2 ^ 6,bind([[_56836], [relation_inverse_image(342 ^ [], 341 ^ [])]]))).
% 43.23/42.71 ncf('1.3.3',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.23/42.71 ncf('1.4',plain,[-(in(135 ^ [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 341 ^ [])), 132 : in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])), 132 : relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 3,bind([[_60924, _61131, _61133, _61323], [342 ^ [], relation_inverse_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]))).
% 43.23/42.71 ncf('1.4.1',plain,[-(in(340 ^ [], relation_inverse_image(342 ^ [], 341 ^ [])))],extension(348 ^ 8)).
% 43.23/42.71 ncf('1.4.2',plain,[-(relation_inverse_image(342 ^ [], 341 ^ []) = relation_inverse_image(342 ^ [], 341 ^ []))],extension(2 ^ 6,bind([[_56836], [relation_inverse_image(342 ^ [], 341 ^ [])]]))).
% 43.23/42.71 ncf('1.4.3',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.23/42.71 %-----------------------------------------------------
% 43.23/42.71 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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