TSTP Solution File: SEU203+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 12:02:38 EDT 2023
% Result : Theorem 43.54s 42.87s
% Output : Proof 43.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 12:48:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 43.54/42.87
% 43.54/42.87 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.54/42.87 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.54/42.87 %-----------------------------------------------------
% 43.54/42.87 ncf(matrix, plain, [(346 ^ _68376) ^ [] : [360 ^ _68376 : [(363 ^ _68376) ^ [] : [-(in(ordered_pair(359 ^ [], 340 ^ []), 342 ^ []))], (365 ^ _68376) ^ [] : [-(in(359 ^ [], 341 ^ []))], (367 ^ _68376) ^ [] : [in(340 ^ [], relation_image(342 ^ [], 341 ^ []))], (361 ^ _68376) ^ [] : [-(in(359 ^ [], relation_dom(342 ^ [])))]], 347 ^ _68376 : [(350 ^ _68376) ^ [_68580] : [in(_68580, relation_dom(342 ^ [])), in(ordered_pair(_68580, 340 ^ []), 342 ^ []), in(_68580, 341 ^ [])], (348 ^ _68376) ^ [] : [-(in(340 ^ [], relation_image(342 ^ [], 341 ^ [])))]]], (344 ^ _68376) ^ [] : [-(relation(342 ^ []))], !, (218 ^ _56740) ^ [] : [true___, -(true___)], (257 ^ _56740) ^ [] : [-(empty(empty_set))], (301 ^ _56740) ^ [] : [empty(299 ^ [])], (122 ^ _56740) ^ [_60851, _60853] : [-(unordered_pair(_60853, _60851) = unordered_pair(_60851, _60853))], (319 ^ _56740) ^ [_67429] : [empty(_67429), -(_67429 = empty_set)], (2 ^ _56740) ^ [_56864] : [-(_56864 = _56864)], (68 ^ _56740) ^ [_58958, _58960] : [_58960 = _58958, -(singleton(_58960) = singleton(_58958))], (4 ^ _56740) ^ [_56971, _56973] : [_56973 = _56971, -(_56971 = _56973)], (94 ^ _56740) ^ [_59894, _59896] : [_59896 = _59894, -(relation_dom(_59896) = relation_dom(_59894))], (236 ^ _56740) ^ [] : [true___, -(true___)], (124 ^ _56740) ^ [_60952] : [relation(_60952), 127 ^ _56740 : [(128 ^ _56740) ^ [_61159, _61161] : [_61159 = relation_image(_60952, _61161), 131 ^ _56740 : [(141 ^ _56740) ^ [_61705] : [-(in(_61705, _61159)), 142 ^ _56740 : [(143 ^ _56740) ^ [_61810] : [in(ordered_pair(_61810, _61705), _60952), in(_61810, _61161)]]], (132 ^ _56740) ^ [_61351] : [in(_61351, _61159), 136 ^ _56740 : [(139 ^ _56740) ^ [] : [-(in(135 ^ [_60952, _61159, _61161, _61351], _61161))], (137 ^ _56740) ^ [] : [-(in(ordered_pair(135 ^ [_60952, _61159, _61161, _61351], _61351), _60952))]]]]], (151 ^ _56740) ^ [_62065, _62067] : [-(_62065 = relation_image(_60952, _62067)), 164 ^ _56740 : [(169 ^ _56740) ^ [] : [in(152 ^ [_60952, _62065, _62067], _62065)], (167 ^ _56740) ^ [] : [-(in(163 ^ [_60952, _62065, _62067], _62067))], (165 ^ _56740) ^ [] : [-(in(ordered_pair(163 ^ [_60952, _62065, _62067], 152 ^ [_60952, _62065, _62067]), _60952))]], 155 ^ _56740 : [(158 ^ _56740) ^ [_62369] : [in(ordered_pair(_62369, 152 ^ [_60952, _62065, _62067]), _60952), in(_62369, _62067)], (156 ^ _56740) ^ [] : [-(in(152 ^ [_60952, _62065, _62067], _62065))]]]]], (309 ^ _56740) ^ [_67145, _67147] : [element(_67147, _67145), -(empty(_67145)), -(in(_67147, _67145))], (269 ^ _56740) ^ [_65901] : [empty(relation_dom(_65901)), -(empty(_65901)), relation(_65901)], (224 ^ _56740) ^ [] : [true___, -(true___)], (303 ^ _56740) ^ [_66935, _66937] : [in(_66937, _66935), -(element(_66937, _66935))], (34 ^ _56740) ^ [_57932, _57934] : [-(empty(_57932)), _57934 = _57932, empty(_57934)], (230 ^ _56740) ^ [] : [true___, -(true___)], (248 ^ _56740) ^ [] : [true___, -(true___)], (44 ^ _56740) ^ [_58227, _58229] : [-(relation(_58227)), _58229 = _58227, relation(_58229)], (110 ^ _56740) ^ [_60469, _60471] : [in(_60471, _60469), in(_60469, _60471)], (279 ^ _56740) ^ [_66178] : [empty(_66178), 282 ^ _56740 : [(285 ^ _56740) ^ [] : [-(relation(relation_dom(_66178)))], (283 ^ _56740) ^ [] : [-(empty(relation_dom(_66178)))]]], (267 ^ _56740) ^ [] : [-(relation(empty_set))], (74 ^ _56740) ^ [_59204, _59206, _59208, _59210] : [-(unordered_pair(_59210, _59206) = unordered_pair(_59208, _59204)), _59210 = _59208, _59206 = _59204], (242 ^ _56740) ^ [] : [true___, -(true___)], (331 ^ _56740) ^ [_67818, _67820] : [empty(_67820), -(_67820 = _67818), empty(_67818)], (10 ^ _56740) ^ [_57175, _57177, _57179] : [-(_57179 = _57175), _57179 = _57177, _57177 = _57175], (173 ^ _56740) ^ [_62971] : [relation(_62971), 176 ^ _56740 : [(177 ^ _56740) ^ [_63152] : [_63152 = relation_dom(_62971), 180 ^ _56740 : [(188 ^ _56740) ^ [_63576] : [189 ^ _56740 : [(190 ^ _56740) ^ [_63655] : [in(ordered_pair(_63576, _63655), _62971)]], -(in(_63576, _63152))], (181 ^ _56740) ^ [_63332] : [in(_63332, _63152), -(in(ordered_pair(_63332, 184 ^ [_62971, _63152, _63332]), _62971))]]], (194 ^ _56740) ^ [_63783] : [-(_63783 = relation_dom(_62971)), 198 ^ _56740 : [(201 ^ _56740) ^ [_64046] : [in(ordered_pair(195 ^ [_62971, _63783], _64046), _62971)], (199 ^ _56740) ^ [] : [-(in(195 ^ [_62971, _63783], _63783))]], 203 ^ _56740 : [(206 ^ _56740) ^ [] : [in(195 ^ [_62971, _63783], _63783)], (204 ^ _56740) ^ [] : [-(in(ordered_pair(195 ^ [_62971, _63783], 202 ^ [_62971, _63783]), _62971))]]]]], (298 ^ _56740) ^ [] : [-(relation(294 ^ []))], (263 ^ _56740) ^ [_65696, _65698] : [empty(unordered_pair(_65698, _65696))], (100 ^ _56740) ^ [_60120, _60122, _60124, _60126] : [-(ordered_pair(_60126, _60122) = ordered_pair(_60124, _60120)), _60126 = _60124, _60122 = _60120], (210 ^ _56740) ^ [_64411, _64413] : [-(ordered_pair(_64413, _64411) = unordered_pair(unordered_pair(_64413, _64411), singleton(_64413)))], (116 ^ _56740) ^ [_60666] : [empty(_60666), -(relation(_60666))], (325 ^ _56740) ^ [_67631, _67633] : [in(_67633, _67631), empty(_67631)], (261 ^ _56740) ^ [_65604] : [empty(singleton(_65604))], (259 ^ _56740) ^ [_65523, _65525] : [empty(ordered_pair(_65525, _65523))], (290 ^ _56740) ^ [] : [-(relation(286 ^ []))], (293 ^ _56740) ^ [] : [-(empty(291 ^ []))], (84 ^ _56740) ^ [_59563, _59565, _59567, _59569] : [-(relation_image(_59569, _59565) = relation_image(_59567, _59563)), _59569 = _59567, _59565 = _59563], (296 ^ _56740) ^ [] : [empty(294 ^ [])], (288 ^ _56740) ^ [] : [-(empty(286 ^ []))], (255 ^ _56740) ^ [_65374] : [-(element(253 ^ [_65374], _65374))], (54 ^ _56740) ^ [_58530, _58532, _58534, _58536] : [-(in(_58534, _58530)), in(_58536, _58532), _58536 = _58534, _58532 = _58530], (20 ^ _56740) ^ [_57516, _57518, _57520, _57522] : [-(element(_57520, _57516)), element(_57522, _57518), _57522 = _57520, _57518 = _57516], (212 ^ _56740) ^ [] : [true___, -(true___)], (265 ^ _56740) ^ [] : [-(empty(empty_set))]], input).
% 43.54/42.87 ncf('1',plain,[363 : -(in(ordered_pair(359 ^ [], 340 ^ []), 342 ^ [])), 350 : in(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], relation_dom(342 ^ [])), 350 : in(ordered_pair(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 340 ^ []), 342 ^ []), 350 : in(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 341 ^ [])],start(346 ^ 0,bind([[_68580], [135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]]))).
% 43.54/42.87 ncf('1.1',plain,[in(ordered_pair(359 ^ [], 340 ^ []), 342 ^ []), 143 : in(359 ^ [], 341 ^ []), 143 : -(in(340 ^ [], relation_image(342 ^ [], 341 ^ []))), 141 : relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 3,bind([[_60952, _61159, _61161, _61705, _61810], [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ [], 359 ^ []]]))).
% 43.54/42.87 ncf('1.1.1',plain,[-(in(359 ^ [], 341 ^ []))],extension(365 ^ 10)).
% 43.54/42.87 ncf('1.1.2',plain,[in(340 ^ [], relation_image(342 ^ [], 341 ^ []))],extension(367 ^ 8)).
% 43.54/42.87 ncf('1.1.3',plain,[-(relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []))],extension(2 ^ 6,bind([[_56864], [relation_image(342 ^ [], 341 ^ [])]]))).
% 43.54/42.87 ncf('1.1.4',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.54/42.87 ncf('1.2',plain,[-(in(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], relation_dom(342 ^ []))), 190 : in(ordered_pair(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 340 ^ []), 342 ^ []), 188 : relation_dom(342 ^ []) = relation_dom(342 ^ []), 177 : relation(342 ^ [])],extension(173 ^ 3,bind([[_62971, _63152, _63576, _63655], [342 ^ [], relation_dom(342 ^ []), 135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 340 ^ []]]))).
% 43.54/42.87 ncf('1.2.1',plain,[-(in(ordered_pair(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 340 ^ []), 342 ^ [])), 132 : in(340 ^ [], relation_image(342 ^ [], 341 ^ [])), 132 : relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 10,bind([[_60952, _61159, _61161, _61351], [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]))).
% 43.54/42.87 ncf('1.2.1.1',plain,[-(in(340 ^ [], relation_image(342 ^ [], 341 ^ [])))],extension(348 ^ 15)).
% 43.54/42.87 ncf('1.2.1.2',plain,[-(relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []))],extension(2 ^ 13,bind([[_56864], [relation_image(342 ^ [], 341 ^ [])]]))).
% 43.54/42.87 ncf('1.2.1.3',plain,[-(relation(342 ^ []))],extension(344 ^ 11)).
% 43.54/42.87 ncf('1.2.2',plain,[-(relation_dom(342 ^ []) = relation_dom(342 ^ []))],extension(2 ^ 6,bind([[_56864], [relation_dom(342 ^ [])]]))).
% 43.54/42.87 ncf('1.2.3',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.54/42.87 ncf('1.3',plain,[-(in(ordered_pair(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 340 ^ []), 342 ^ [])), 132 : in(340 ^ [], relation_image(342 ^ [], 341 ^ [])), 132 : relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 3,bind([[_60952, _61159, _61161, _61351], [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]))).
% 43.54/42.87 ncf('1.3.1',plain,[-(in(340 ^ [], relation_image(342 ^ [], 341 ^ [])))],extension(348 ^ 8)).
% 43.54/42.87 ncf('1.3.2',plain,[-(relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []))],extension(2 ^ 6,bind([[_56864], [relation_image(342 ^ [], 341 ^ [])]]))).
% 43.54/42.87 ncf('1.3.3',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.54/42.87 ncf('1.4',plain,[-(in(135 ^ [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []], 341 ^ [])), 132 : in(340 ^ [], relation_image(342 ^ [], 341 ^ [])), 132 : relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []), 128 : relation(342 ^ [])],extension(124 ^ 3,bind([[_60952, _61159, _61161, _61351], [342 ^ [], relation_image(342 ^ [], 341 ^ []), 341 ^ [], 340 ^ []]]))).
% 43.54/42.87 ncf('1.4.1',plain,[-(in(340 ^ [], relation_image(342 ^ [], 341 ^ [])))],extension(348 ^ 8)).
% 43.54/42.87 ncf('1.4.2',plain,[-(relation_image(342 ^ [], 341 ^ []) = relation_image(342 ^ [], 341 ^ []))],extension(2 ^ 6,bind([[_56864], [relation_image(342 ^ [], 341 ^ [])]]))).
% 43.54/42.87 ncf('1.4.3',plain,[-(relation(342 ^ []))],extension(344 ^ 4)).
% 43.54/42.87 %-----------------------------------------------------
% 43.54/42.87 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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