TSTP Solution File: SEU117+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 12:02:14 EDT 2023
% Result : Theorem 0.35s 1.39s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU117+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 12:46:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.35/1.39
% 0.35/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 ncf(matrix, plain, [(475 ^ _64091) ^ [] : [-(element(473 ^ [], finite_subsets(472 ^ [])))], (477 ^ _64091) ^ [] : [element(473 ^ [], powerset(472 ^ []))], (204 ^ _64091) ^ [] : [-(empty(empty_set))], (206 ^ _64091) ^ [_70535] : [-(preboolean(_70535)), cup_closed(_70535), diff_closed(_70535)], (216 ^ _64091) ^ [_70804] : [empty(_70804), -(finite(_70804))], (222 ^ _64091) ^ [_71004, _71006] : [element(_71006, _71004), -(empty(_71004)), -(in(_71006, _71004))], (232 ^ _64091) ^ [_71316, _71318, _71320] : [in(_71320, _71318), element(_71318, powerset(_71316)), empty(_71316)], (242 ^ _64091) ^ [_71612] : [empty(_71612), -(_71612 = empty_set)], (248 ^ _64091) ^ [_71814, _71816] : [empty(_71816), -(_71816 = _71814), empty(_71814)], (258 ^ _64091) ^ [_72096, _72098] : [-(subset(_72098, _72098))], (260 ^ _64091) ^ [_72205, _72207] : [in(_72207, _72205), in(_72205, _72207)], (267 ^ _64091) ^ [_72426] : [-(element(265 ^ [_72426], _72426))], (269 ^ _64091) ^ [_72509] : [-(preboolean(finite_subsets(_72509)))], (271 ^ _64091) ^ [_72607] : [empty(powerset(_72607))], (273 ^ _64091) ^ [_72672] : [-(cup_closed(powerset(_72672)))], (275 ^ _64091) ^ [_72737] : [-(diff_closed(powerset(_72737)))], (277 ^ _64091) ^ [_72782] : [-(preboolean(powerset(_72782)))], (279 ^ _64091) ^ [_72886] : [empty(finite_subsets(_72886))], (281 ^ _64091) ^ [_72951] : [-(cup_closed(finite_subsets(_72951)))], (283 ^ _64091) ^ [_73016] : [-(diff_closed(finite_subsets(_73016)))], (285 ^ _64091) ^ [_73061] : [-(preboolean(finite_subsets(_73061)))], (287 ^ _64091) ^ [_73161] : [preboolean(_73161), 290 ^ _64091 : [(291 ^ _64091) ^ [] : [-(cup_closed(_73161))], (293 ^ _64091) ^ [] : [-(diff_closed(_73161))]]], (295 ^ _64091) ^ [_73432, _73434] : [element(_73432, finite_subsets(_73434)), -(finite(_73432))], (302 ^ _64091) ^ [] : [empty(300 ^ [])], (304 ^ _64091) ^ [] : [-(cup_closed(300 ^ []))], (306 ^ _64091) ^ [] : [-(cap_closed(300 ^ []))], (308 ^ _64091) ^ [] : [-(diff_closed(300 ^ []))], (310 ^ _64091) ^ [] : [-(preboolean(300 ^ []))], (312 ^ _64091) ^ [_73960] : [finite(_73960), 315 ^ _64091 : [(316 ^ _64091) ^ [_74092] : [element(_74092, powerset(_73960)), -(finite(_74092))]]], (323 ^ _64091) ^ [] : [empty(321 ^ [])], (325 ^ _64091) ^ [] : [-(finite(321 ^ []))], (328 ^ _64091) ^ [_74538] : [-(element(326 ^ [_74538], powerset(_74538)))], (330 ^ _64091) ^ [_74609] : [-(empty(326 ^ [_74609]))], (332 ^ _64091) ^ [_74677] : [-(relation(326 ^ [_74677]))], (334 ^ _64091) ^ [_74745] : [-(function(326 ^ [_74745]))], (336 ^ _64091) ^ [_74813] : [-(one_to_one(326 ^ [_74813]))], (338 ^ _64091) ^ [_74881] : [-(epsilon_transitive(326 ^ [_74881]))], (340 ^ _64091) ^ [_74949] : [-(epsilon_connected(326 ^ [_74949]))], (342 ^ _64091) ^ [_75017] : [-(ordinal(326 ^ [_75017]))], (344 ^ _64091) ^ [_75085] : [-(natural(326 ^ [_75085]))], (346 ^ _64091) ^ [_75133] : [-(finite(326 ^ [_75133]))], (348 ^ _64091) ^ [_75248] : [-(empty(_75248)), 352 ^ _64091 : [(353 ^ _64091) ^ [] : [-(element(351 ^ [_75248], powerset(_75248)))], (355 ^ _64091) ^ [] : [empty(351 ^ [_75248])], (357 ^ _64091) ^ [] : [-(finite(351 ^ [_75248]))]]], (359 ^ _64091) ^ [_75660] : [-(empty(_75660)), 363 ^ _64091 : [(364 ^ _64091) ^ [] : [-(element(362 ^ [_75660], powerset(_75660)))], (366 ^ _64091) ^ [] : [empty(362 ^ [_75660])], (368 ^ _64091) ^ [] : [-(finite(362 ^ [_75660]))]]], (370 ^ _64091) ^ [_76056] : [empty(powerset(_76056))], (372 ^ _64091) ^ [_76150] : [-(empty(_76150)), 376 ^ _64091 : [(377 ^ _64091) ^ [] : [-(element(375 ^ [_76150], powerset(_76150)))], (379 ^ _64091) ^ [] : [empty(375 ^ [_76150])]]], (382 ^ _64091) ^ [_76533] : [-(element(380 ^ [_76533], powerset(_76533)))], (384 ^ _64091) ^ [_76584] : [-(empty(380 ^ [_76584]))], (387 ^ _64091) ^ [] : [-(empty(385 ^ []))], (390 ^ _64091) ^ [] : [empty(388 ^ [])], (392 ^ _64091) ^ [_76876, _76878] : [in(_76878, _76876), -(element(_76878, _76876))], (398 ^ _64091) ^ [_77115, _77117] : [element(_77117, powerset(_77115)), -(subset(_77117, _77115))], (404 ^ _64091) ^ [_77281, _77283] : [subset(_77283, _77281), -(element(_77283, powerset(_77281)))], (410 ^ _64091) ^ [_77511, _77513, _77515] : [-(element(_77515, _77511)), in(_77515, _77513), element(_77513, powerset(_77511))], (420 ^ _64091) ^ [_77824, _77826] : [in(_77826, _77824), empty(_77824)], (426 ^ _64091) ^ [_78011, _78013] : [preboolean(_78011), 429 ^ _64091 : [(452 ^ _64091) ^ [] : [-(_78011 = finite_subsets(_78013)), 464 ^ _64091 : [(465 ^ _64091) ^ [] : [-(subset(453 ^ [_78011, _78013], _78013))], (467 ^ _64091) ^ [] : [-(finite(453 ^ [_78011, _78013]))], (469 ^ _64091) ^ [] : [in(453 ^ [_78011, _78013], _78011)]], 456 ^ _64091 : [(457 ^ _64091) ^ [] : [-(in(453 ^ [_78011, _78013], _78011))], (459 ^ _64091) ^ [] : [subset(453 ^ [_78011, _78013], _78013), finite(453 ^ [_78011, _78013])]]], (430 ^ _64091) ^ [] : [_78011 = finite_subsets(_78013), 433 ^ _64091 : [(434 ^ _64091) ^ [_78298] : [in(_78298, _78011), 437 ^ _64091 : [(438 ^ _64091) ^ [] : [-(subset(_78298, _78013))], (440 ^ _64091) ^ [] : [-(finite(_78298))]]], (442 ^ _64091) ^ [_78545] : [-(in(_78545, _78011)), subset(_78545, _78013), finite(_78545)]]]]], (192 ^ _64091) ^ [_70042, _70044] : [_70044 = _70042, -(finite_subsets(_70044) = finite_subsets(_70042))], (198 ^ _64091) ^ [_70240, _70242] : [_70242 = _70240, -(powerset(_70242) = powerset(_70240))], (2 ^ _64091) ^ [_64235] : [-(_64235 = _64235)], (4 ^ _64091) ^ [_64342, _64344] : [_64344 = _64342, -(_64342 = _64344)], (10 ^ _64091) ^ [_64546, _64548, _64550] : [-(_64550 = _64546), _64550 = _64548, _64548 = _64546], (20 ^ _64091) ^ [_64859, _64861] : [-(cup_closed(_64859)), _64861 = _64859, cup_closed(_64861)], (30 ^ _64091) ^ [_65154, _65156] : [-(cap_closed(_65154)), _65156 = _65154, cap_closed(_65156)], (40 ^ _64091) ^ [_65449, _65451] : [-(diff_closed(_65449)), _65451 = _65449, diff_closed(_65451)], (50 ^ _64091) ^ [_65744, _65746] : [-(relation(_65744)), _65746 = _65744, relation(_65746)], (60 ^ _64091) ^ [_66039, _66041] : [-(function(_66039)), _66041 = _66039, function(_66041)], (70 ^ _64091) ^ [_66334, _66336] : [-(one_to_one(_66334)), _66336 = _66334, one_to_one(_66336)], (80 ^ _64091) ^ [_66629, _66631] : [-(epsilon_transitive(_66629)), _66631 = _66629, epsilon_transitive(_66631)], (90 ^ _64091) ^ [_66924, _66926] : [-(epsilon_connected(_66924)), _66926 = _66924, epsilon_connected(_66926)], (100 ^ _64091) ^ [_67219, _67221] : [-(ordinal(_67219)), _67221 = _67219, ordinal(_67221)], (110 ^ _64091) ^ [_67514, _67516] : [-(natural(_67514)), _67516 = _67514, natural(_67516)], (120 ^ _64091) ^ [_67809, _67811] : [-(empty(_67809)), _67811 = _67809, empty(_67811)], (130 ^ _64091) ^ [_68104, _68106] : [-(preboolean(_68104)), _68106 = _68104, preboolean(_68106)], (140 ^ _64091) ^ [_68427, _68429, _68431, _68433] : [-(in(_68431, _68427)), in(_68433, _68429), _68433 = _68431, _68429 = _68427], (154 ^ _64091) ^ [_68871, _68873, _68875, _68877] : [-(subset(_68875, _68871)), subset(_68877, _68873), _68877 = _68875, _68873 = _68871], (168 ^ _64091) ^ [_69287, _69289] : [-(finite(_69287)), _69289 = _69287, finite(_69289)], (178 ^ _64091) ^ [_69590, _69592, _69594, _69596] : [-(element(_69594, _69590)), element(_69596, _69592), _69596 = _69594, _69592 = _69590]], input).
% 0.35/1.39 ncf('1',plain,[in(473 ^ [], finite_subsets(472 ^ [])), element(finite_subsets(472 ^ []), powerset(finite_subsets(472 ^ []))), empty(finite_subsets(472 ^ []))],start(232 ^ 0,bind([[_71316, _71318, _71320], [finite_subsets(472 ^ []), finite_subsets(472 ^ []), 473 ^ []]]))).
% 0.35/1.39 ncf('1.1',plain,[-(in(473 ^ [], finite_subsets(472 ^ []))), element(473 ^ [], finite_subsets(472 ^ [])), -(empty(finite_subsets(472 ^ [])))],extension(222 ^ 1,bind([[_71004, _71006], [finite_subsets(472 ^ []), 473 ^ []]]))).
% 0.35/1.39 ncf('1.1.1',plain,[-(element(473 ^ [], finite_subsets(472 ^ [])))],extension(475 ^ 2)).
% 0.35/1.39 ncf('1.1.2',plain,[empty(finite_subsets(472 ^ []))],extension(279 ^ 2,bind([[_72886], [472 ^ []]]))).
% 0.35/1.39 ncf('1.2',plain,[-(element(finite_subsets(472 ^ []), powerset(finite_subsets(472 ^ [])))), subset(finite_subsets(472 ^ []), finite_subsets(472 ^ []))],extension(404 ^ 1,bind([[_77281, _77283], [finite_subsets(472 ^ []), finite_subsets(472 ^ [])]]))).
% 0.35/1.39 ncf('1.2.1',plain,[-(subset(finite_subsets(472 ^ []), finite_subsets(472 ^ [])))],extension(258 ^ 2,bind([[_72096, _72098], [_46429, finite_subsets(472 ^ [])]]))).
% 0.35/1.39 ncf('1.3',plain,[-(empty(finite_subsets(472 ^ []))), element(473 ^ [], finite_subsets(472 ^ [])), -(in(473 ^ [], finite_subsets(472 ^ [])))],extension(222 ^ 1,bind([[_71004, _71006], [finite_subsets(472 ^ []), 473 ^ []]]))).
% 0.35/1.39 ncf('1.3.1',plain,[-(element(473 ^ [], finite_subsets(472 ^ [])))],extension(475 ^ 2)).
% 0.35/1.39 ncf('1.3.2',plain,[in(473 ^ [], finite_subsets(472 ^ [])), 438 : -(subset(473 ^ [], 472 ^ [])), 434 : finite_subsets(472 ^ []) = finite_subsets(472 ^ []), 430 : preboolean(finite_subsets(472 ^ []))],extension(426 ^ 2,bind([[_78011, _78013, _78298], [finite_subsets(472 ^ []), 472 ^ [], 473 ^ []]]))).
% 0.35/1.39 ncf('1.3.2.1',plain,[subset(473 ^ [], 472 ^ []), -(element(473 ^ [], powerset(472 ^ [])))],extension(404 ^ 9,bind([[_77281, _77283], [472 ^ [], 473 ^ []]]))).
% 0.35/1.39 ncf('1.3.2.1.1',plain,[element(473 ^ [], powerset(472 ^ []))],extension(477 ^ 10)).
% 0.35/1.39 ncf('1.3.2.2',plain,[-(finite_subsets(472 ^ []) = finite_subsets(472 ^ []))],extension(2 ^ 5,bind([[_64235], [finite_subsets(472 ^ [])]]))).
% 0.35/1.39 ncf('1.3.2.3',plain,[-(preboolean(finite_subsets(472 ^ [])))],extension(269 ^ 3,bind([[_72509], [472 ^ []]]))).
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------