TSTP Solution File: SEU239+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU239+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 12:02:50 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU239+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 13:16:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(388 ^ _56754) ^ [] : [-(relation(386 ^ []))], (390 ^ _56754) ^ [] : [391 ^ _56754 : [(392 ^ _56754) ^ [] : [-(reflexive(386 ^ []))], (395 ^ _56754) ^ [] : [-(in(393 ^ [], relation_field(386 ^ [])))], (397 ^ _56754) ^ [] : [in(ordered_pair(393 ^ [], 393 ^ []), 386 ^ [])]], 398 ^ _56754 : [(405 ^ _56754) ^ [] : [reflexive(386 ^ [])], (399 ^ _56754) ^ [_69333] : [in(_69333, relation_field(386 ^ [])), -(in(ordered_pair(_69333, _69333), 386 ^ []))]]], (112 ^ _56754) ^ [_60357, _60359, _60361, _60363] : [-(unordered_pair(_60363, _60359) = unordered_pair(_60361, _60357)), _60363 = _60361, _60359 = _60357], (122 ^ _56754) ^ [_60688, _60690] : [_60690 = _60688, -(singleton(_60690) = singleton(_60688))], (128 ^ _56754) ^ [_60906, _60908] : [_60908 = _60906, -(relation_dom(_60908) = relation_dom(_60906))], (134 ^ _56754) ^ [_61124, _61126] : [_61126 = _61124, -(relation_rng(_61126) = relation_rng(_61124))], (140 ^ _56754) ^ [_61370, _61372, _61374, _61376] : [-(set_union2(_61376, _61372) = set_union2(_61374, _61370)), _61376 = _61374, _61372 = _61370], (150 ^ _56754) ^ [_61701, _61703] : [_61703 = _61701, -(relation_field(_61703) = relation_field(_61701))], (156 ^ _56754) ^ [_61927, _61929, _61931, _61933] : [-(ordered_pair(_61933, _61929) = ordered_pair(_61931, _61927)), _61933 = _61931, _61929 = _61927], (2 ^ _56754) ^ [_56898] : [-(_56898 = _56898)], (4 ^ _56754) ^ [_57005, _57007] : [_57007 = _57005, -(_57005 = _57007)], (10 ^ _56754) ^ [_57209, _57211, _57213] : [-(_57213 = _57209), _57213 = _57211, _57211 = _57209], (20 ^ _56754) ^ [_57550, _57552, _57554, _57556] : [-(is_reflexive_in(_57554, _57550)), is_reflexive_in(_57556, _57552), _57556 = _57554, _57552 = _57550], (34 ^ _56754) ^ [_57966, _57968] : [-(function(_57966)), _57968 = _57966, function(_57968)], (44 ^ _56754) ^ [_58261, _58263] : [-(one_to_one(_58261)), _58263 = _58261, one_to_one(_58263)], (54 ^ _56754) ^ [_58584, _58586, _58588, _58590] : [-(element(_58588, _58584)), element(_58590, _58586), _58590 = _58588, _58586 = _58584], (68 ^ _56754) ^ [_59000, _59002] : [-(empty(_59000)), _59002 = _59000, empty(_59002)], (78 ^ _56754) ^ [_59295, _59297] : [-(relation(_59295)), _59297 = _59295, relation(_59297)], (88 ^ _56754) ^ [_59590, _59592] : [-(reflexive(_59590)), _59592 = _59590, reflexive(_59592)], (98 ^ _56754) ^ [_59893, _59895, _59897, _59899] : [-(in(_59897, _59893)), in(_59899, _59895), _59899 = _59897, _59895 = _59893], (166 ^ _56754) ^ [_62284, _62286] : [in(_62286, _62284), in(_62284, _62286)], (172 ^ _56754) ^ [_62481] : [empty(_62481), -(function(_62481))], (178 ^ _56754) ^ [_62667] : [189 ^ _56754 : [(190 ^ _56754) ^ [] : [-(relation(_62667))], (192 ^ _56754) ^ [] : [-(function(_62667))], (194 ^ _56754) ^ [] : [-(one_to_one(_62667))]], relation(_62667), empty(_62667), function(_62667)], (196 ^ _56754) ^ [_63159, _63161] : [-(unordered_pair(_63161, _63159) = unordered_pair(_63159, _63161))], (198 ^ _56754) ^ [_63259, _63261] : [-(set_union2(_63261, _63259) = set_union2(_63259, _63261))], (200 ^ _56754) ^ [_63360] : [relation(_63360), 203 ^ _56754 : [(214 ^ _56754) ^ [_63859] : [216 ^ _56754 : [(217 ^ _56754) ^ [] : [-(in(215 ^ [_63360, _63859], _63859))], (219 ^ _56754) ^ [] : [in(ordered_pair(215 ^ [_63360, _63859], 215 ^ [_63360, _63859]), _63360)]], -(is_reflexive_in(_63360, _63859))], (204 ^ _56754) ^ [_63534] : [is_reflexive_in(_63360, _63534), 207 ^ _56754 : [(208 ^ _56754) ^ [_63676] : [in(_63676, _63534), -(in(ordered_pair(_63676, _63676), _63360))]]]]], (223 ^ _56754) ^ [_64224, _64226] : [-(ordered_pair(_64226, _64224) = unordered_pair(unordered_pair(_64226, _64224), singleton(_64226)))], (225 ^ _56754) ^ [_64330] : [relation(_64330), -(relation_field(_64330) = set_union2(relation_dom(_64330), relation_rng(_64330)))], (231 ^ _56754) ^ [_64536] : [relation(_64536), 234 ^ _56754 : [(235 ^ _56754) ^ [] : [reflexive(_64536), -(is_reflexive_in(_64536, relation_field(_64536)))], (241 ^ _56754) ^ [] : [is_reflexive_in(_64536, relation_field(_64536)), -(reflexive(_64536))]]], (247 ^ _56754) ^ [] : [true___, -(true___)], (253 ^ _56754) ^ [] : [true___, -(true___)], (259 ^ _56754) ^ [] : [true___, -(true___)], (265 ^ _56754) ^ [] : [true___, -(true___)], (271 ^ _56754) ^ [] : [true___, -(true___)], (277 ^ _56754) ^ [] : [true___, -(true___)], (283 ^ _56754) ^ [] : [true___, -(true___)], (289 ^ _56754) ^ [] : [true___, -(true___)], (295 ^ _56754) ^ [] : [true___, -(true___)], (302 ^ _56754) ^ [_66062] : [-(element(300 ^ [_66062], _66062))], (304 ^ _56754) ^ [] : [-(empty(empty_set))], (306 ^ _56754) ^ [_66211, _66213] : [empty(ordered_pair(_66213, _66211))], (308 ^ _56754) ^ [_66322, _66324] : [-(empty(_66324)), empty(set_union2(_66324, _66322))], (314 ^ _56754) ^ [_66538, _66540] : [-(empty(_66540)), empty(set_union2(_66538, _66540))], (320 ^ _56754) ^ [_66739, _66741] : [-(set_union2(_66741, _66741) = _66741)], (323 ^ _56754) ^ [] : [-(relation(321 ^ []))], (325 ^ _56754) ^ [] : [-(function(321 ^ []))], (328 ^ _56754) ^ [] : [-(empty(326 ^ []))], (331 ^ _56754) ^ [] : [-(relation(329 ^ []))], (333 ^ _56754) ^ [] : [-(empty(329 ^ []))], (335 ^ _56754) ^ [] : [-(function(329 ^ []))], (338 ^ _56754) ^ [] : [empty(336 ^ [])], (341 ^ _56754) ^ [] : [-(relation(339 ^ []))], (343 ^ _56754) ^ [] : [-(function(339 ^ []))], (345 ^ _56754) ^ [] : [-(one_to_one(339 ^ []))], (347 ^ _56754) ^ [_67568] : [-(set_union2(_67568, empty_set) = _67568)], (349 ^ _56754) ^ [_67678, _67680] : [in(_67680, _67678), -(element(_67680, _67678))], (355 ^ _56754) ^ [_67888, _67890] : [element(_67890, _67888), -(empty(_67888)), -(in(_67890, _67888))], (365 ^ _56754) ^ [_68172] : [empty(_68172), -(_68172 = empty_set)], (371 ^ _56754) ^ [_68374, _68376] : [in(_68376, _68374), empty(_68374)], (377 ^ _56754) ^ [_68561, _68563] : [empty(_68563), -(_68563 = _68561), empty(_68561)]], input).
% 0.33/1.38 ncf('1',plain,[397 : in(ordered_pair(393 ^ [], 393 ^ []), 386 ^ []), 405 : reflexive(386 ^ [])],start(390 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(in(ordered_pair(393 ^ [], 393 ^ []), 386 ^ [])), 208 : in(393 ^ [], relation_field(386 ^ [])), 208 : is_reflexive_in(386 ^ [], relation_field(386 ^ [])), 204 : relation(386 ^ [])],extension(200 ^ 3,bind([[_63360, _63534, _63676], [386 ^ [], relation_field(386 ^ []), 393 ^ []]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(in(393 ^ [], relation_field(386 ^ [])))],extension(395 ^ 8)).
% 0.33/1.38 ncf('1.1.2',plain,[-(is_reflexive_in(386 ^ [], relation_field(386 ^ []))), is_reflexive_in(386 ^ [], relation_field(386 ^ [])), 386 ^ [] = 386 ^ [], relation_field(386 ^ []) = relation_field(386 ^ [])],extension(20 ^ 6,bind([[_57550, _57552, _57554, _57556], [relation_field(386 ^ []), relation_field(386 ^ []), 386 ^ [], 386 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.1',plain,[-(is_reflexive_in(386 ^ [], relation_field(386 ^ []))), is_reflexive_in(386 ^ [], relation_field(386 ^ [])), 386 ^ [] = 386 ^ [], relation_field(386 ^ []) = relation_field(386 ^ [])],extension(20 ^ 7,bind([[_57550, _57552, _57554, _57556], [relation_field(386 ^ []), relation_field(386 ^ []), 386 ^ [], 386 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.1.1',plain,[-(is_reflexive_in(386 ^ [], relation_field(386 ^ []))), 235 : reflexive(386 ^ []), 235 : relation(386 ^ [])],extension(231 ^ 8,bind([[_64536], [386 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.1.1.1',plain,[-(reflexive(386 ^ []))],extension(392 ^ 11)).
% 0.33/1.38 ncf('1.1.2.1.1.2',plain,[-(relation(386 ^ []))],extension(388 ^ 9)).
% 0.33/1.38 ncf('1.1.2.1.2',plain,[-(386 ^ [] = 386 ^ [])],extension(2 ^ 8,bind([[_56898], [386 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.1.3',plain,[-(relation_field(386 ^ []) = relation_field(386 ^ []))],extension(2 ^ 8,bind([[_56898], [relation_field(386 ^ [])]]))).
% 0.33/1.38 ncf('1.1.2.2',plain,[-(386 ^ [] = 386 ^ [])],extension(2 ^ 7,bind([[_56898], [386 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.3',plain,[-(relation_field(386 ^ []) = relation_field(386 ^ [])), 386 ^ [] = 386 ^ []],extension(150 ^ 7,bind([[_61701, _61703], [386 ^ [], 386 ^ []]]))).
% 0.33/1.38 ncf('1.1.2.3.1',plain,[-(386 ^ [] = 386 ^ [])],lemmata('[1, 1].x')).
% 0.33/1.38 ncf('1.1.3',plain,[-(relation(386 ^ []))],extension(388 ^ 4)).
% 0.33/1.38 ncf('1.2',plain,[-(reflexive(386 ^ [])), 241 : is_reflexive_in(386 ^ [], relation_field(386 ^ [])), 241 : relation(386 ^ [])],extension(231 ^ 3,bind([[_64536], [386 ^ []]]))).
% 0.33/1.38 ncf('1.2.1',plain,[-(is_reflexive_in(386 ^ [], relation_field(386 ^ []))), 217 : -(in(215 ^ [386 ^ [], relation_field(386 ^ [])], relation_field(386 ^ []))), 214 : relation(386 ^ [])],extension(200 ^ 6,bind([[_63360, _63859], [386 ^ [], relation_field(386 ^ [])]]))).
% 0.33/1.38 ncf('1.2.1.1',plain,[in(215 ^ [386 ^ [], relation_field(386 ^ [])], relation_field(386 ^ [])), -(in(ordered_pair(215 ^ [386 ^ [], relation_field(386 ^ [])], 215 ^ [386 ^ [], relation_field(386 ^ [])]), 386 ^ []))],extension(399 ^ 11,bind([[_69333], [215 ^ [386 ^ [], relation_field(386 ^ [])]]]))).
% 0.33/1.38 ncf('1.2.1.1.1',plain,[in(ordered_pair(215 ^ [386 ^ [], relation_field(386 ^ [])], 215 ^ [386 ^ [], relation_field(386 ^ [])]), 386 ^ [])],extension(219 ^ 12)).
% 0.33/1.38 ncf('1.2.1.2',plain,[-(relation(386 ^ []))],extension(388 ^ 7)).
% 0.33/1.38 ncf('1.2.2',plain,[-(relation(386 ^ []))],extension(388 ^ 4)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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