TSTP Solution File: NUM390+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM390+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 0.48s 1.37s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM390+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n015.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 17:19:52 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.48/1.37
% 0.48/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.48/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 ncf(matrix, plain, [(450 ^ _62052) ^ [] : [-(epsilon_transitive(448 ^ []))], (453 ^ _62052) ^ [] : [-(ordinal(451 ^ []))], (456 ^ _62052) ^ [] : [-(ordinal(454 ^ []))], (458 ^ _62052) ^ [] : [-(subset(448 ^ [], 451 ^ []))], (460 ^ _62052) ^ [] : [-(in(451 ^ [], 454 ^ []))], (462 ^ _62052) ^ [] : [in(448 ^ [], 454 ^ [])], (166 ^ _62052) ^ [_67241, _67243] : [_67243 = _67241, -(powerset(_67243) = powerset(_67241))], (2 ^ _62052) ^ [_62196] : [-(_62196 = _62196)], (4 ^ _62052) ^ [_62303, _62305] : [_62305 = _62303, -(_62303 = _62305)], (10 ^ _62052) ^ [_62507, _62509, _62511] : [-(_62511 = _62507), _62511 = _62509, _62509 = _62507], (20 ^ _62052) ^ [_62820, _62822] : [-(epsilon_connected(_62820)), _62822 = _62820, epsilon_connected(_62822)], (30 ^ _62052) ^ [_63115, _63117] : [-(one_to_one(_63115)), _63117 = _63115, one_to_one(_63117)], (40 ^ _62052) ^ [_63410, _63412] : [-(relation_empty_yielding(_63410)), _63412 = _63410, relation_empty_yielding(_63412)], (50 ^ _62052) ^ [_63705, _63707] : [-(relation(_63705)), _63707 = _63705, relation(_63707)], (60 ^ _62052) ^ [_64000, _64002] : [-(relation_non_empty(_64000)), _64002 = _64000, relation_non_empty(_64002)], (70 ^ _62052) ^ [_64295, _64297] : [-(function(_64295)), _64297 = _64295, function(_64297)], (80 ^ _62052) ^ [_64618, _64620, _64622, _64624] : [-(proper_subset(_64622, _64618)), proper_subset(_64624, _64620), _64624 = _64622, _64620 = _64618], (94 ^ _62052) ^ [_65062, _65064, _65066, _65068] : [-(element(_65066, _65062)), element(_65068, _65064), _65068 = _65066, _65064 = _65062], (108 ^ _62052) ^ [_65478, _65480] : [-(empty(_65478)), _65480 = _65478, empty(_65480)], (118 ^ _62052) ^ [_65773, _65775] : [-(epsilon_transitive(_65773)), _65775 = _65773, epsilon_transitive(_65775)], (128 ^ _62052) ^ [_66068, _66070] : [-(ordinal(_66068)), _66070 = _66068, ordinal(_66070)], (138 ^ _62052) ^ [_66391, _66393, _66395, _66397] : [-(subset(_66395, _66391)), subset(_66397, _66393), _66397 = _66395, _66393 = _66391], (152 ^ _62052) ^ [_66815, _66817, _66819, _66821] : [-(in(_66819, _66815)), in(_66821, _66817), _66821 = _66819, _66817 = _66815], (172 ^ _62052) ^ [_67461, _67463] : [in(_67463, _67461), in(_67461, _67463)], (178 ^ _62052) ^ [_67672, _67674] : [proper_subset(_67674, _67672), proper_subset(_67672, _67674)], (184 ^ _62052) ^ [_67869] : [empty(_67869), -(function(_67869))], (190 ^ _62052) ^ [_68055] : [ordinal(_68055), 193 ^ _62052 : [(194 ^ _62052) ^ [] : [-(epsilon_transitive(_68055))], (196 ^ _62052) ^ [] : [-(epsilon_connected(_68055))]]], (198 ^ _62052) ^ [_68312] : [empty(_68312), -(relation(_68312))], (204 ^ _62052) ^ [_68498] : [215 ^ _62052 : [(216 ^ _62052) ^ [] : [-(relation(_68498))], (218 ^ _62052) ^ [] : [-(function(_68498))], (220 ^ _62052) ^ [] : [-(one_to_one(_68498))]], relation(_68498), empty(_68498), function(_68498)], (222 ^ _62052) ^ [_68991] : [-(ordinal(_68991)), epsilon_transitive(_68991), epsilon_connected(_68991)], (242 ^ _62052) ^ [_69589] : [244 ^ _62052 : [(245 ^ _62052) ^ [] : [-(in(243 ^ [_69589], _69589))], (247 ^ _62052) ^ [] : [subset(243 ^ [_69589], _69589)]], -(epsilon_transitive(_69589))], (232 ^ _62052) ^ [_69289] : [epsilon_transitive(_69289), 235 ^ _62052 : [(236 ^ _62052) ^ [_69420] : [in(_69420, _69289), -(subset(_69420, _69289))]]], (251 ^ _62052) ^ [_69957, _69959] : [proper_subset(_69959, _69957), 254 ^ _62052 : [(255 ^ _62052) ^ [] : [-(subset(_69959, _69957))], (257 ^ _62052) ^ [] : [_69959 = _69957]]], (259 ^ _62052) ^ [_70195, _70197] : [-(proper_subset(_70197, _70195)), subset(_70197, _70195), -(_70197 = _70195)], (270 ^ _62052) ^ [_70509] : [-(element(268 ^ [_70509], _70509))], (272 ^ _62052) ^ [] : [-(empty(empty_set))], (274 ^ _62052) ^ [] : [-(relation(empty_set))], (276 ^ _62052) ^ [] : [-(relation_empty_yielding(empty_set))], (278 ^ _62052) ^ [] : [-(empty(empty_set))], (280 ^ _62052) ^ [] : [-(empty(empty_set))], (282 ^ _62052) ^ [] : [-(relation(empty_set))], (284 ^ _62052) ^ [_70929, _70931] : [proper_subset(_70931, _70931)], (287 ^ _62052) ^ [] : [-(relation(285 ^ []))], (289 ^ _62052) ^ [] : [-(function(285 ^ []))], (292 ^ _62052) ^ [] : [-(epsilon_transitive(290 ^ []))], (294 ^ _62052) ^ [] : [-(epsilon_connected(290 ^ []))], (296 ^ _62052) ^ [] : [-(ordinal(290 ^ []))], (299 ^ _62052) ^ [] : [-(empty(297 ^ []))], (301 ^ _62052) ^ [] : [-(relation(297 ^ []))], (304 ^ _62052) ^ [] : [-(empty(302 ^ []))], (307 ^ _62052) ^ [] : [-(relation(305 ^ []))], (309 ^ _62052) ^ [] : [-(empty(305 ^ []))], (311 ^ _62052) ^ [] : [-(function(305 ^ []))], (314 ^ _62052) ^ [] : [empty(312 ^ [])], (316 ^ _62052) ^ [] : [-(relation(312 ^ []))], (319 ^ _62052) ^ [] : [empty(317 ^ [])], (322 ^ _62052) ^ [] : [-(relation(320 ^ []))], (324 ^ _62052) ^ [] : [-(function(320 ^ []))], (326 ^ _62052) ^ [] : [-(one_to_one(320 ^ []))], (329 ^ _62052) ^ [] : [-(relation(327 ^ []))], (331 ^ _62052) ^ [] : [-(relation_empty_yielding(327 ^ []))], (334 ^ _62052) ^ [] : [-(relation(332 ^ []))], (336 ^ _62052) ^ [] : [-(relation_empty_yielding(332 ^ []))], (338 ^ _62052) ^ [] : [-(function(332 ^ []))], (341 ^ _62052) ^ [] : [-(relation(339 ^ []))], (343 ^ _62052) ^ [] : [-(relation_non_empty(339 ^ []))], (345 ^ _62052) ^ [] : [-(function(339 ^ []))], (347 ^ _62052) ^ [_72844, _72846] : [-(subset(_72846, _72846))], (349 ^ _62052) ^ [_72953, _72955] : [in(_72955, _72953), -(element(_72955, _72953))], (355 ^ _62052) ^ [_73177, _73179, _73181] : [-(subset(_73181, _73177)), subset(_73181, _73179), subset(_73179, _73177)], (365 ^ _62052) ^ [_73472] : [epsilon_transitive(_73472), 368 ^ _62052 : [(369 ^ _62052) ^ [_73608] : [ordinal(_73608), proper_subset(_73472, _73608), -(in(_73472, _73608))]]], (379 ^ _62052) ^ [_73912, _73914] : [element(_73914, _73912), -(empty(_73912)), -(in(_73914, _73912))], (389 ^ _62052) ^ [_74239, _74241] : [element(_74241, powerset(_74239)), -(subset(_74241, _74239))], (395 ^ _62052) ^ [_74405, _74407] : [subset(_74407, _74405), -(element(_74407, powerset(_74405)))], (401 ^ _62052) ^ [_74635, _74637, _74639] : [-(element(_74639, _74635)), in(_74639, _74637), element(_74637, powerset(_74635))], (411 ^ _62052) ^ [_74962, _74964, _74966] : [in(_74966, _74964), element(_74964, powerset(_74962)), empty(_74962)], (421 ^ _62052) ^ [_75258] : [empty(_75258), -(_75258 = empty_set)], (427 ^ _62052) ^ [_75460, _75462] : [in(_75462, _75460), empty(_75460)], (433 ^ _62052) ^ [_75667, _75669] : [in(_75669, _75667), subset(_75667, _75669)], (439 ^ _62052) ^ [_75856, _75858] : [empty(_75858), -(_75858 = _75856), empty(_75856)]], input).
% 0.48/1.37 ncf('1',plain,[in(448 ^ [], 454 ^ [])],start(462 ^ 0)).
% 0.48/1.37 ncf('1.1',plain,[-(in(448 ^ [], 454 ^ [])), 369 : ordinal(454 ^ []), 369 : proper_subset(448 ^ [], 454 ^ []), 369 : epsilon_transitive(448 ^ [])],extension(365 ^ 1,bind([[_73472, _73608], [448 ^ [], 454 ^ []]]))).
% 0.48/1.37 ncf('1.1.1',plain,[-(ordinal(454 ^ []))],extension(456 ^ 4)).
% 0.48/1.37 ncf('1.1.2',plain,[-(proper_subset(448 ^ [], 454 ^ [])), subset(448 ^ [], 454 ^ []), -(448 ^ [] = 454 ^ [])],extension(259 ^ 4,bind([[_70195, _70197], [454 ^ [], 448 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1',plain,[-(subset(448 ^ [], 454 ^ [])), subset(448 ^ [], 451 ^ []), subset(451 ^ [], 454 ^ [])],extension(355 ^ 5,bind([[_73177, _73179, _73181], [454 ^ [], 451 ^ [], 448 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1.1',plain,[-(subset(448 ^ [], 451 ^ []))],extension(458 ^ 6)).
% 0.48/1.37 ncf('1.1.2.1.2',plain,[-(subset(451 ^ [], 454 ^ [])), 236 : in(451 ^ [], 454 ^ []), 236 : epsilon_transitive(454 ^ [])],extension(232 ^ 6,bind([[_69289, _69420], [454 ^ [], 451 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1.2.1',plain,[-(in(451 ^ [], 454 ^ []))],extension(460 ^ 9)).
% 0.48/1.37 ncf('1.1.2.1.2.2',plain,[-(epsilon_transitive(454 ^ [])), ordinal(454 ^ [])],extension(190 ^ 7,bind([[_68055], [454 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1.2.2.1',plain,[-(ordinal(454 ^ []))],lemmata('[1].x')).
% 0.48/1.37 ncf('1.1.2.2',plain,[448 ^ [] = 454 ^ [], -(448 ^ [] = 454 ^ []), 454 ^ [] = 454 ^ []],extension(10 ^ 5,bind([[_62507, _62509, _62511], [454 ^ [], 454 ^ [], 448 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.2.1',plain,[448 ^ [] = 454 ^ [], -(subset(454 ^ [], 451 ^ [])), subset(448 ^ [], 451 ^ []), 451 ^ [] = 451 ^ []],extension(138 ^ 6,bind([[_66391, _66393, _66395, _66397], [451 ^ [], 451 ^ [], 454 ^ [], 448 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.2.1.1',plain,[subset(454 ^ [], 451 ^ []), in(451 ^ [], 454 ^ [])],extension(433 ^ 7,bind([[_75667, _75669], [454 ^ [], 451 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.2.1.1.1',plain,[-(in(451 ^ [], 454 ^ []))],extension(460 ^ 8)).
% 0.48/1.37 ncf('1.1.2.2.1.2',plain,[-(subset(448 ^ [], 451 ^ []))],extension(458 ^ 7)).
% 0.48/1.37 ncf('1.1.2.2.1.3',plain,[-(451 ^ [] = 451 ^ [])],extension(2 ^ 7,bind([[_62196], [451 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.2.2',plain,[-(454 ^ [] = 454 ^ [])],extension(2 ^ 6,bind([[_62196], [454 ^ []]]))).
% 0.48/1.37 ncf('1.1.3',plain,[-(epsilon_transitive(448 ^ []))],extension(450 ^ 2)).
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------