TSTP Solution File: SET642+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:56:12 EDT 2023
% Result : Theorem 0.32s 1.38s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n019.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 19:03:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.32/1.38
% 0.32/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 ncf(matrix, plain, [(456 ^ _62085) ^ [] : [-(ilf_type(454 ^ [], set_type))], (459 ^ _62085) ^ [] : [-(ilf_type(457 ^ [], set_type))], (462 ^ _62085) ^ [] : [-(ilf_type(460 ^ [], set_type))], (465 ^ _62085) ^ [] : [-(ilf_type(463 ^ [], relation_type(457 ^ [], 460 ^ [])))], (467 ^ _62085) ^ [] : [-(subset(454 ^ [], 463 ^ []))], (469 ^ _62085) ^ [] : [ilf_type(454 ^ [], relation_type(457 ^ [], 460 ^ []))], (82 ^ _62085) ^ [_64769, _64771] : [_64771 = _64769, -(power_set(_64771) = power_set(_64769))], (88 ^ _62085) ^ [_64987, _64989] : [_64989 = _64987, -(member_type(_64989) = member_type(_64987))], (94 ^ _62085) ^ [_65205, _65207] : [_65207 = _65205, -(subset_type(_65207) = subset_type(_65205))], (100 ^ _62085) ^ [_65451, _65453, _65455, _65457] : [-(cross_product(_65457, _65453) = cross_product(_65455, _65451)), _65457 = _65455, _65453 = _65451], (110 ^ _62085) ^ [_65810, _65812, _65814, _65816] : [-(ordered_pair(_65816, _65812) = ordered_pair(_65814, _65810)), _65816 = _65814, _65812 = _65810], (120 ^ _62085) ^ [_66149, _66151, _66153, _66155] : [-(relation_type(_66155, _66151) = relation_type(_66153, _66149)), _66155 = _66153, _66151 = _66149], (2 ^ _62085) ^ [_62229] : [-(_62229 = _62229)], (4 ^ _62085) ^ [_62336, _62338] : [_62338 = _62336, -(_62336 = _62338)], (10 ^ _62085) ^ [_62540, _62542, _62544] : [-(_62544 = _62540), _62544 = _62542, _62542 = _62540], (20 ^ _62085) ^ [_62881, _62883, _62885, _62887] : [-(member(_62885, _62881)), member(_62887, _62883), _62887 = _62885, _62883 = _62881], (34 ^ _62085) ^ [_63297, _63299] : [-(empty(_63297)), _63299 = _63297, empty(_63299)], (44 ^ _62085) ^ [_63592, _63594] : [-(relation_like(_63592)), _63594 = _63592, relation_like(_63594)], (54 ^ _62085) ^ [_63915, _63917, _63919, _63921] : [-(subset(_63919, _63915)), subset(_63921, _63917), _63921 = _63919, _63917 = _63915], (68 ^ _62085) ^ [_64339, _64341, _64343, _64345] : [-(ilf_type(_64343, _64339)), ilf_type(_64345, _64341), _64345 = _64343, _64341 = _64339], (130 ^ _62085) ^ [_66488] : [ilf_type(_66488, set_type), 133 ^ _62085 : [(134 ^ _62085) ^ [_66655] : [ilf_type(_66655, set_type), 137 ^ _62085 : [(138 ^ _62085) ^ [_66817] : [ilf_type(_66817, set_type), 141 ^ _62085 : [(142 ^ _62085) ^ [_66974] : [ilf_type(_66974, relation_type(_66655, _66817)), subset(_66488, _66974), -(subset(_66488, cross_product(_66655, _66817)))]]]]]]], (152 ^ _62085) ^ [_67312] : [ilf_type(_67312, set_type), 155 ^ _62085 : [(156 ^ _62085) ^ [_67468] : [ilf_type(_67468, set_type), 159 ^ _62085 : [(160 ^ _62085) ^ [_67619] : [ilf_type(_67619, set_type), subset(_67312, cross_product(_67468, _67619)), -(ilf_type(_67312, relation_type(_67468, _67619)))]]]]], (170 ^ _62085) ^ [_67940] : [ilf_type(_67940, set_type), 173 ^ _62085 : [(174 ^ _62085) ^ [_68117] : [ilf_type(_68117, set_type), 177 ^ _62085 : [(178 ^ _62085) ^ [_68309] : [ilf_type(_68309, subset_type(cross_product(_67940, _68117))), -(ilf_type(_68309, relation_type(_67940, _68117)))], (184 ^ _62085) ^ [_68511] : [ilf_type(_68511, relation_type(_67940, _68117)), -(ilf_type(_68511, subset_type(cross_product(_67940, _68117))))]]]]], (190 ^ _62085) ^ [_68745] : [ilf_type(_68745, set_type), 193 ^ _62085 : [(194 ^ _62085) ^ [_68886] : [ilf_type(_68886, set_type), -(ilf_type(197 ^ [_68745, _68886], relation_type(_68886, _68745)))]]], (201 ^ _62085) ^ [_69155] : [ilf_type(_69155, set_type), 204 ^ _62085 : [(205 ^ _62085) ^ [_69311] : [ilf_type(_69311, set_type), 208 ^ _62085 : [(223 ^ _62085) ^ [] : [225 ^ _62085 : [(226 ^ _62085) ^ [] : [-(ilf_type(224 ^ [_69155, _69311], set_type))], (228 ^ _62085) ^ [] : [-(member(224 ^ [_69155, _69311], _69155))], (230 ^ _62085) ^ [] : [member(224 ^ [_69155, _69311], _69311)]], -(subset(_69155, _69311))], (209 ^ _62085) ^ [] : [subset(_69155, _69311), 212 ^ _62085 : [(213 ^ _62085) ^ [_69570] : [ilf_type(_69570, set_type), member(_69570, _69155), -(member(_69570, _69311))]]]]]]], (234 ^ _62085) ^ [_70230] : [ilf_type(_70230, set_type), 237 ^ _62085 : [(238 ^ _62085) ^ [_70366] : [ilf_type(_70366, set_type), -(ilf_type(cross_product(_70230, _70366), set_type))]]], (244 ^ _62085) ^ [_70575] : [ilf_type(_70575, set_type), 247 ^ _62085 : [(248 ^ _62085) ^ [_70720] : [ilf_type(_70720, set_type), 251 ^ _62085 : [(252 ^ _62085) ^ [] : [ilf_type(_70720, subset_type(_70575)), -(ilf_type(_70720, member_type(power_set(_70575))))], (258 ^ _62085) ^ [] : [ilf_type(_70720, member_type(power_set(_70575))), -(ilf_type(_70720, subset_type(_70575)))]]]]], (264 ^ _62085) ^ [_71191] : [ilf_type(_71191, set_type), -(ilf_type(267 ^ [_71191], subset_type(_71191)))], (271 ^ _62085) ^ [_71438] : [ilf_type(_71438, set_type), -(subset(_71438, _71438))], (277 ^ _62085) ^ [_71628] : [ilf_type(_71628, set_type), 280 ^ _62085 : [(281 ^ _62085) ^ [_71786] : [ilf_type(_71786, set_type), 284 ^ _62085 : [(299 ^ _62085) ^ [] : [301 ^ _62085 : [(302 ^ _62085) ^ [] : [-(ilf_type(300 ^ [_71628, _71786], set_type))], (304 ^ _62085) ^ [] : [-(member(300 ^ [_71628, _71786], _71628))], (306 ^ _62085) ^ [] : [member(300 ^ [_71628, _71786], _71786)]], -(member(_71628, power_set(_71786)))], (285 ^ _62085) ^ [] : [member(_71628, power_set(_71786)), 288 ^ _62085 : [(289 ^ _62085) ^ [_72049] : [ilf_type(_72049, set_type), member(_72049, _71628), -(member(_72049, _71786))]]]]]]], (310 ^ _62085) ^ [_72711] : [ilf_type(_72711, set_type), 313 ^ _62085 : [(314 ^ _62085) ^ [] : [empty(power_set(_72711))], (316 ^ _62085) ^ [] : [-(ilf_type(power_set(_72711), set_type))]]], (318 ^ _62085) ^ [_72981] : [ilf_type(_72981, set_type), 321 ^ _62085 : [(322 ^ _62085) ^ [_73129] : [-(empty(_73129)), ilf_type(_73129, set_type), 329 ^ _62085 : [(330 ^ _62085) ^ [] : [ilf_type(_72981, member_type(_73129)), -(member(_72981, _73129))], (336 ^ _62085) ^ [] : [member(_72981, _73129), -(ilf_type(_72981, member_type(_73129)))]]]]], (342 ^ _62085) ^ [_73680] : [-(ilf_type(349 ^ [_73680], member_type(_73680))), -(empty(_73680)), ilf_type(_73680, set_type)], (353 ^ _62085) ^ [_74013] : [ilf_type(_74013, set_type), 356 ^ _62085 : [(367 ^ _62085) ^ [] : [369 ^ _62085 : [(370 ^ _62085) ^ [] : [-(ilf_type(368 ^ [_74013], set_type))], (372 ^ _62085) ^ [] : [-(member(368 ^ [_74013], _74013))]], -(empty(_74013))], (357 ^ _62085) ^ [] : [empty(_74013), 360 ^ _62085 : [(361 ^ _62085) ^ [_74256] : [ilf_type(_74256, set_type), member(_74256, _74013)]]]]], (376 ^ _62085) ^ [_74716] : [ilf_type(_74716, set_type), 379 ^ _62085 : [(380 ^ _62085) ^ [] : [relation_like(_74716), 383 ^ _62085 : [(384 ^ _62085) ^ [_74988] : [ilf_type(_74988, set_type), member(_74988, _74716), 392 ^ _62085 : [(393 ^ _62085) ^ [] : [-(ilf_type(391 ^ [_74716, _74988], set_type))], (396 ^ _62085) ^ [] : [-(ilf_type(394 ^ [_74716, _74988], set_type))], (398 ^ _62085) ^ [] : [-(_74988 = ordered_pair(391 ^ [_74716, _74988], 394 ^ [_74716, _74988]))]]]]], (400 ^ _62085) ^ [] : [-(relation_like(_74716)), 402 ^ _62085 : [(403 ^ _62085) ^ [] : [-(ilf_type(401 ^ [_74716], set_type))], (405 ^ _62085) ^ [] : [-(member(401 ^ [_74716], _74716))], (407 ^ _62085) ^ [_75827] : [ilf_type(_75827, set_type), 410 ^ _62085 : [(411 ^ _62085) ^ [_75974] : [ilf_type(_75974, set_type), 401 ^ [_74716] = ordered_pair(_75827, _75974)]]]]]]], (419 ^ _62085) ^ [_76259] : [-(relation_like(_76259)), empty(_76259), ilf_type(_76259, set_type)], (453 ^ _62085) ^ [_77355] : [-(ilf_type(_77355, set_type))], (443 ^ _62085) ^ [_77045] : [ilf_type(_77045, set_type), 446 ^ _62085 : [(447 ^ _62085) ^ [_77181] : [ilf_type(_77181, set_type), -(ilf_type(ordered_pair(_77045, _77181), set_type))]]], (429 ^ _62085) ^ [_76530] : [ilf_type(_76530, set_type), 432 ^ _62085 : [(433 ^ _62085) ^ [_76678] : [ilf_type(_76678, set_type), 436 ^ _62085 : [(437 ^ _62085) ^ [_76821] : [ilf_type(_76821, subset_type(cross_product(_76530, _76678))), -(relation_like(_76821))]]]]]], input).
% 0.32/1.39 ncf('1',plain,[ilf_type(454 ^ [], relation_type(457 ^ [], 460 ^ []))],start(469 ^ 0)).
% 0.32/1.39 ncf('1.1',plain,[-(ilf_type(454 ^ [], relation_type(457 ^ [], 460 ^ []))), 160 : ilf_type(460 ^ [], set_type), 160 : subset(454 ^ [], cross_product(457 ^ [], 460 ^ [])), 160 : ilf_type(457 ^ [], set_type), 156 : ilf_type(454 ^ [], set_type)],extension(152 ^ 1,bind([[_67312, _67468, _67619], [454 ^ [], 457 ^ [], 460 ^ []]]))).
% 0.32/1.39 ncf('1.1.1',plain,[-(ilf_type(460 ^ [], set_type))],extension(462 ^ 6)).
% 0.32/1.39 ncf('1.1.2',plain,[-(subset(454 ^ [], cross_product(457 ^ [], 460 ^ []))), 142 : ilf_type(463 ^ [], relation_type(457 ^ [], 460 ^ [])), 142 : subset(454 ^ [], 463 ^ []), 142 : ilf_type(460 ^ [], set_type), 138 : ilf_type(457 ^ [], set_type), 134 : ilf_type(454 ^ [], set_type)],extension(130 ^ 6,bind([[_66488, _66655, _66817, _66974], [454 ^ [], 457 ^ [], 460 ^ [], 463 ^ []]]))).
% 0.32/1.39 ncf('1.1.2.1',plain,[-(ilf_type(463 ^ [], relation_type(457 ^ [], 460 ^ [])))],extension(465 ^ 13)).
% 0.32/1.39 ncf('1.1.2.2',plain,[-(subset(454 ^ [], 463 ^ []))],extension(467 ^ 13)).
% 0.32/1.39 ncf('1.1.2.3',plain,[-(ilf_type(460 ^ [], set_type))],lemmata('[1].x')).
% 0.32/1.39 ncf('1.1.2.4',plain,[-(ilf_type(457 ^ [], set_type))],extension(459 ^ 9)).
% 0.32/1.39 ncf('1.1.2.5',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 7)).
% 0.32/1.39 ncf('1.1.3',plain,[-(ilf_type(457 ^ [], set_type))],extension(459 ^ 4)).
% 0.32/1.39 ncf('1.1.4',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 2)).
% 0.32/1.39 %-----------------------------------------------------
% 0.32/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------