TSTP Solution File: NUM388+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM388+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:44:31 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM388+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n025.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 17:46:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(380 ^ _52508) ^ [] : [-(ordinal(378 ^ []))], (383 ^ _52508) ^ [] : [-(ordinal(381 ^ []))], (386 ^ _52508) ^ [] : [-(epsilon_transitive(384 ^ []))], (388 ^ _52508) ^ [] : [-(in(384 ^ [], 378 ^ []))], (390 ^ _52508) ^ [] : [-(in(378 ^ [], 381 ^ []))], (392 ^ _52508) ^ [] : [in(384 ^ [], 381 ^ [])], (158 ^ _52508) ^ [_57471, _57473] : [in(_57473, _57471), in(_57471, _57473)], (164 ^ _52508) ^ [_57668] : [empty(_57668), -(function(_57668))], (170 ^ _52508) ^ [_57854] : [ordinal(_57854), 173 ^ _52508 : [(174 ^ _52508) ^ [] : [-(epsilon_transitive(_57854))], (176 ^ _52508) ^ [] : [-(epsilon_connected(_57854))]]], (178 ^ _52508) ^ [_58111] : [empty(_58111), -(relation(_58111))], (184 ^ _52508) ^ [_58297] : [195 ^ _52508 : [(196 ^ _52508) ^ [] : [-(relation(_58297))], (198 ^ _52508) ^ [] : [-(function(_58297))], (200 ^ _52508) ^ [] : [-(one_to_one(_58297))]], relation(_58297), empty(_58297), function(_58297)], (202 ^ _52508) ^ [_58790] : [-(ordinal(_58790)), epsilon_transitive(_58790), epsilon_connected(_58790)], (222 ^ _52508) ^ [_59388] : [224 ^ _52508 : [(225 ^ _52508) ^ [] : [-(in(223 ^ [_59388], _59388))], (227 ^ _52508) ^ [] : [subset(223 ^ [_59388], _59388)]], -(epsilon_transitive(_59388))], (212 ^ _52508) ^ [_59088] : [epsilon_transitive(_59088), 215 ^ _52508 : [(216 ^ _52508) ^ [_59219] : [in(_59219, _59088), -(subset(_59219, _59088))]]], (232 ^ _52508) ^ [_59737] : [-(element(230 ^ [_59737], _59737))], (234 ^ _52508) ^ [] : [-(empty(empty_set))], (236 ^ _52508) ^ [] : [-(relation(empty_set))], (238 ^ _52508) ^ [] : [-(relation_empty_yielding(empty_set))], (240 ^ _52508) ^ [] : [-(empty(empty_set))], (242 ^ _52508) ^ [] : [-(empty(empty_set))], (244 ^ _52508) ^ [] : [-(relation(empty_set))], (247 ^ _52508) ^ [] : [-(relation(245 ^ []))], (249 ^ _52508) ^ [] : [-(function(245 ^ []))], (252 ^ _52508) ^ [] : [-(epsilon_transitive(250 ^ []))], (254 ^ _52508) ^ [] : [-(epsilon_connected(250 ^ []))], (256 ^ _52508) ^ [] : [-(ordinal(250 ^ []))], (259 ^ _52508) ^ [] : [-(empty(257 ^ []))], (261 ^ _52508) ^ [] : [-(relation(257 ^ []))], (264 ^ _52508) ^ [] : [-(empty(262 ^ []))], (267 ^ _52508) ^ [] : [-(relation(265 ^ []))], (269 ^ _52508) ^ [] : [-(empty(265 ^ []))], (271 ^ _52508) ^ [] : [-(function(265 ^ []))], (274 ^ _52508) ^ [] : [empty(272 ^ [])], (276 ^ _52508) ^ [] : [-(relation(272 ^ []))], (279 ^ _52508) ^ [] : [empty(277 ^ [])], (282 ^ _52508) ^ [] : [-(relation(280 ^ []))], (284 ^ _52508) ^ [] : [-(function(280 ^ []))], (286 ^ _52508) ^ [] : [-(one_to_one(280 ^ []))], (289 ^ _52508) ^ [] : [-(relation(287 ^ []))], (291 ^ _52508) ^ [] : [-(relation_empty_yielding(287 ^ []))], (294 ^ _52508) ^ [] : [-(relation(292 ^ []))], (296 ^ _52508) ^ [] : [-(relation_empty_yielding(292 ^ []))], (298 ^ _52508) ^ [] : [-(function(292 ^ []))], (301 ^ _52508) ^ [] : [-(relation(299 ^ []))], (303 ^ _52508) ^ [] : [-(relation_non_empty(299 ^ []))], (305 ^ _52508) ^ [] : [-(function(299 ^ []))], (307 ^ _52508) ^ [_61979, _61981] : [-(subset(_61981, _61981))], (309 ^ _52508) ^ [_62088, _62090] : [in(_62090, _62088), -(element(_62090, _62088))], (315 ^ _52508) ^ [_62298, _62300] : [element(_62300, _62298), -(empty(_62298)), -(in(_62300, _62298))], (325 ^ _52508) ^ [_62625, _62627] : [element(_62627, powerset(_62625)), -(subset(_62627, _62625))], (331 ^ _52508) ^ [_62791, _62793] : [subset(_62793, _62791), -(element(_62793, powerset(_62791)))], (337 ^ _52508) ^ [_63021, _63023, _63025] : [-(element(_63025, _63021)), in(_63025, _63023), element(_63023, powerset(_63021))], (347 ^ _52508) ^ [_63348, _63350, _63352] : [in(_63352, _63350), element(_63350, powerset(_63348)), empty(_63348)], (357 ^ _52508) ^ [_63644] : [empty(_63644), -(_63644 = empty_set)], (363 ^ _52508) ^ [_63846, _63848] : [in(_63848, _63846), empty(_63846)], (369 ^ _52508) ^ [_64033, _64035] : [empty(_64035), -(_64035 = _64033), empty(_64033)], (152 ^ _52508) ^ [_57251, _57253] : [_57253 = _57251, -(powerset(_57253) = powerset(_57251))], (2 ^ _52508) ^ [_52652] : [-(_52652 = _52652)], (4 ^ _52508) ^ [_52759, _52761] : [_52761 = _52759, -(_52759 = _52761)], (10 ^ _52508) ^ [_52963, _52965, _52967] : [-(_52967 = _52963), _52967 = _52965, _52965 = _52963], (20 ^ _52508) ^ [_53276, _53278] : [-(epsilon_connected(_53276)), _53278 = _53276, epsilon_connected(_53278)], (30 ^ _52508) ^ [_53571, _53573] : [-(one_to_one(_53571)), _53573 = _53571, one_to_one(_53573)], (40 ^ _52508) ^ [_53866, _53868] : [-(relation_empty_yielding(_53866)), _53868 = _53866, relation_empty_yielding(_53868)], (50 ^ _52508) ^ [_54161, _54163] : [-(relation(_54161)), _54163 = _54161, relation(_54163)], (60 ^ _52508) ^ [_54456, _54458] : [-(relation_non_empty(_54456)), _54458 = _54456, relation_non_empty(_54458)], (70 ^ _52508) ^ [_54751, _54753] : [-(function(_54751)), _54753 = _54751, function(_54753)], (80 ^ _52508) ^ [_55074, _55076, _55078, _55080] : [-(subset(_55078, _55074)), subset(_55080, _55076), _55080 = _55078, _55076 = _55074], (94 ^ _52508) ^ [_55518, _55520, _55522, _55524] : [-(element(_55522, _55518)), element(_55524, _55520), _55524 = _55522, _55520 = _55518], (108 ^ _52508) ^ [_55934, _55936] : [-(empty(_55934)), _55936 = _55934, empty(_55936)], (118 ^ _52508) ^ [_56229, _56231] : [-(ordinal(_56229)), _56231 = _56229, ordinal(_56231)], (128 ^ _52508) ^ [_56524, _56526] : [-(epsilon_transitive(_56524)), _56526 = _56524, epsilon_transitive(_56526)], (138 ^ _52508) ^ [_56827, _56829, _56831, _56833] : [-(in(_56831, _56827)), in(_56833, _56829), _56833 = _56831, _56829 = _56827]], input).
% 0.34/1.38 ncf('1',plain,[in(384 ^ [], 381 ^ [])],start(392 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(in(384 ^ [], 381 ^ [])), element(384 ^ [], 381 ^ []), -(empty(381 ^ []))],extension(315 ^ 1,bind([[_62298, _62300], [381 ^ [], 384 ^ []]]))).
% 0.34/1.38 ncf('1.1.1',plain,[-(element(384 ^ [], 381 ^ [])), in(384 ^ [], 378 ^ []), element(378 ^ [], powerset(381 ^ []))],extension(337 ^ 2,bind([[_63021, _63023, _63025], [381 ^ [], 378 ^ [], 384 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.1',plain,[-(in(384 ^ [], 378 ^ []))],extension(388 ^ 3)).
% 0.34/1.38 ncf('1.1.1.2',plain,[-(element(378 ^ [], powerset(381 ^ []))), subset(378 ^ [], 381 ^ [])],extension(331 ^ 3,bind([[_62791, _62793], [381 ^ [], 378 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.2.1',plain,[-(subset(378 ^ [], 381 ^ [])), 216 : in(378 ^ [], 381 ^ []), 216 : epsilon_transitive(381 ^ [])],extension(212 ^ 4,bind([[_59088, _59219], [381 ^ [], 378 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.2.1.1',plain,[-(in(378 ^ [], 381 ^ []))],extension(390 ^ 7)).
% 0.34/1.38 ncf('1.1.1.2.1.2',plain,[-(epsilon_transitive(381 ^ [])), ordinal(381 ^ [])],extension(170 ^ 5,bind([[_57854], [381 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.2.1.2.1',plain,[-(ordinal(381 ^ []))],extension(383 ^ 6)).
% 0.34/1.38 ncf('1.1.2',plain,[empty(381 ^ []), in(384 ^ [], 378 ^ []), element(378 ^ [], powerset(381 ^ []))],extension(347 ^ 2,bind([[_63348, _63350, _63352], [381 ^ [], 378 ^ [], 384 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1',plain,[-(in(384 ^ [], 378 ^ []))],extension(388 ^ 3)).
% 0.34/1.38 ncf('1.1.2.2',plain,[-(element(378 ^ [], powerset(381 ^ []))), subset(378 ^ [], 381 ^ [])],extension(331 ^ 3,bind([[_62791, _62793], [381 ^ [], 378 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.2.1',plain,[-(subset(378 ^ [], 381 ^ [])), 216 : in(378 ^ [], 381 ^ []), 216 : epsilon_transitive(381 ^ [])],extension(212 ^ 4,bind([[_59088, _59219], [381 ^ [], 378 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.2.1.1',plain,[-(in(378 ^ [], 381 ^ []))],extension(390 ^ 7)).
% 0.34/1.38 ncf('1.1.2.2.1.2',plain,[-(epsilon_transitive(381 ^ [])), ordinal(381 ^ [])],extension(170 ^ 5,bind([[_57854], [381 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.2.1.2.1',plain,[-(ordinal(381 ^ []))],extension(383 ^ 6)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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