TSTP Solution File: SET799+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET799+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:56:27 EDT 2023
% Result : Theorem 43.56s 42.83s
% Output : Proof 43.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET799+4 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n010.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 19:09:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 43.56/42.83
% 43.56/42.83 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.56/42.83 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.56/42.83 %-----------------------------------------------------
% 43.56/42.83 ncf(matrix, plain, [(857 ^ _150261) ^ [] : [-(subset(853 ^ [], 849 ^ []))], (865 ^ _150261) ^ [] : [-(least_upper_bound(861 ^ [], 853 ^ [], 848 ^ [], 849 ^ []))], (867 ^ _150261) ^ [] : [apply(848 ^ [], 860 ^ [], 861 ^ [])], (859 ^ _150261) ^ [] : [-(subset(852 ^ [], 853 ^ []))], (851 ^ _150261) ^ [] : [-(order(848 ^ [], 849 ^ []))], (855 ^ _150261) ^ [] : [-(subset(852 ^ [], 849 ^ []))], (863 ^ _150261) ^ [] : [-(least_upper_bound(860 ^ [], 852 ^ [], 848 ^ [], 849 ^ []))], !, (318 ^ _119566) ^ [_130495, _130497] : [_130497 = _130495, -(product(_130497) = product(_130495))], (644 ^ _119566) ^ [_142497, _142499, _142501] : [lower_bound(_142497, _142501, _142499), 647 ^ _119566 : [(648 ^ _119566) ^ [_142641] : [member(_142641, _142499), -(apply(_142501, _142497, _142641))]]], (663 ^ _119566) ^ [_143249, _143251, _143253] : [greatest(_143249, _143253, _143251), 666 ^ _119566 : [(669 ^ _119566) ^ [_143467] : [member(_143467, _143251), -(apply(_143253, _143467, _143249))], (667 ^ _119566) ^ [] : [-(member(_143249, _143251))]]], (744 ^ _119566) ^ [_146208, _146210, _146212] : [min(_146208, _146212, _146210), 747 ^ _119566 : [(750 ^ _119566) ^ [_146432] : [-(_146208 = _146432), member(_146432, _146210), apply(_146212, _146432, _146208)], (748 ^ _119566) ^ [] : [-(member(_146208, _146210))]]], (587 ^ _119566) ^ [_140337, _140339] : [total_order(_140339, _140337), 590 ^ _119566 : [(593 ^ _119566) ^ [_140579, _140581] : [member(_140581, _140337), member(_140579, _140337), -(apply(_140339, _140581, _140579)), -(apply(_140339, _140579, _140581))], (591 ^ _119566) ^ [] : [-(order(_140339, _140337))]]], (120 ^ _119566) ^ [_123694, _123696, _123698, _123700, _123702, _123704] : [-(upper_bound(_123702, _123698, _123694)), upper_bound(_123704, _123700, _123696), _123704 = _123702, _123700 = _123698, _123696 = _123694], (381 ^ _119566) ^ [_132739, _132741, _132743] : [-(member(_132743, intersection(_132741, _132739))), member(_132743, _132741), member(_132743, _132739)], (373 ^ _119566) ^ [_132488, _132490, _132492] : [member(_132492, intersection(_132490, _132488)), 376 ^ _119566 : [(379 ^ _119566) ^ [] : [-(member(_132492, _132488))], (377 ^ _119566) ^ [] : [-(member(_132492, _132490))]]], (478 ^ _119566) ^ [_136098, _136100] : [member(_136100, product(_136098)), 481 ^ _119566 : [(482 ^ _119566) ^ [_136239] : [member(_136239, _136098), -(member(_136100, _136239))]]], (459 ^ _119566) ^ [_135410, _135412] : [member(_135412, sum(_135410)), 463 ^ _119566 : [(466 ^ _119566) ^ [] : [-(member(_135412, 462 ^ [_135410, _135412]))], (464 ^ _119566) ^ [] : [-(member(462 ^ [_135410, _135412], _135410))]]], (441 ^ _119566) ^ [_134813, _134815, _134817] : [member(_134817, unordered_pair(_134815, _134813)), -(_134817 = _134815), -(_134817 = _134813)], (654 ^ _119566) ^ [_142828, _142830, _142832] : [656 ^ _119566 : [(659 ^ _119566) ^ [] : [apply(_142832, _142828, 655 ^ [_142828, _142830, _142832])], (657 ^ _119566) ^ [] : [-(member(655 ^ [_142828, _142830, _142832], _142830))]], -(lower_bound(_142828, _142832, _142830))], (286 ^ _119566) ^ [_129389, _129391, _129393, _129395] : [-(difference(_129395, _129391) = difference(_129393, _129389)), _129395 = _129393, _129391 = _129389], (266 ^ _119566) ^ [_128671, _128673, _128675, _128677] : [-(intersection(_128677, _128673) = intersection(_128675, _128671)), _128677 = _128675, _128673 = _128671], (429 ^ _119566) ^ [_134388, _134390] : [member(_134390, singleton(_134388)), -(_134390 = _134388)], (343 ^ _119566) ^ [_131496, _131498] : [equal_set(_131498, _131496), 346 ^ _119566 : [(349 ^ _119566) ^ [] : [-(subset(_131496, _131498))], (347 ^ _119566) ^ [] : [-(subset(_131498, _131496))]]], (48 ^ _119566) ^ [_121258, _121260, _121262, _121264, _121266, _121268] : [-(greatest(_121266, _121262, _121258)), greatest(_121268, _121264, _121260), _121268 = _121266, _121264 = _121262, _121260 = _121258], (760 ^ _119566) ^ [_146718, _146720, _146722] : [-(min(_146718, _146722, _146720)), member(_146718, _146720), 766 ^ _119566 : [(771 ^ _119566) ^ [] : [_146718 = 765 ^ [_146718, _146720, _146722]], (769 ^ _119566) ^ [] : [-(apply(_146722, 765 ^ [_146718, _146720, _146722], _146718))], (767 ^ _119566) ^ [] : [-(member(765 ^ [_146718, _146720, _146722], _146720))]]], (276 ^ _119566) ^ [_129030, _129032, _129034, _129036] : [-(union(_129036, _129032) = union(_129034, _129030)), _129036 = _129034, _129032 = _129030], (324 ^ _119566) ^ [_130796, _130798] : [subset(_130798, _130796), 327 ^ _119566 : [(328 ^ _119566) ^ [_130933] : [member(_130933, _130798), -(member(_130933, _130796))]]], (34 ^ _119566) ^ [_120786, _120788, _120790, _120792] : [-(total_order(_120790, _120786)), total_order(_120792, _120788), _120792 = _120790, _120788 = _120786], (497 ^ _119566) ^ [_136844, _136846] : [order(_136846, _136844), 500 ^ _119566 : [(525 ^ _119566) ^ [_137837, _137839, _137841] : [member(_137841, _136844), member(_137839, _136844), member(_137837, _136844), -(apply(_136846, _137841, _137837)), apply(_136846, _137841, _137839), apply(_136846, _137839, _137837)], (507 ^ _119566) ^ [_137320, _137322] : [member(_137322, _136844), member(_137320, _136844), -(_137322 = _137320), apply(_136846, _137322, _137320), apply(_136846, _137320, _137322)], (501 ^ _119566) ^ [_137098] : [member(_137098, _136844), -(apply(_136846, _137098, _137098))]]], (409 ^ _119566) ^ [_133637] : [member(_133637, empty_set)], (20 ^ _119566) ^ [_120342, _120344, _120346, _120348] : [-(equal_set(_120346, _120342)), equal_set(_120348, _120344), _120348 = _120346, _120344 = _120342], (192 ^ _119566) ^ [_126118, _126120, _126122, _126124] : [-(order(_126122, _126118)), order(_126124, _126120), _126124 = _126122, _126120 = _126118], (435 ^ _119566) ^ [_134554, _134556] : [_134556 = _134554, -(member(_134556, singleton(_134554)))], (367 ^ _119566) ^ [_132229, _132231] : [subset(_132231, _132229), -(member(_132231, power_set(_132229)))], (174 ^ _119566) ^ [_125537, _125539, _125541, _125543, _125545, _125547] : [-(lower_bound(_125545, _125541, _125537)), lower_bound(_125547, _125543, _125539), _125547 = _125545, _125543 = _125541, _125539 = _125537], (830 ^ _119566) ^ [_149294, _149296, _149298, _149300] : [-(greatest_lower_bound(_149300, _149298, _149296, _149294)), member(_149300, _149298), lower_bound(_149300, _149296, _149298), 840 ^ _119566 : [(845 ^ _119566) ^ [] : [apply(_149296, 839 ^ [_149294, _149296, _149298, _149300], _149300)], (843 ^ _119566) ^ [] : [-(lower_bound(839 ^ [_149294, _149296, _149298, _149300], _149296, _149298))], (841 ^ _119566) ^ [] : [-(member(839 ^ [_149294, _149296, _149298, _149300], _149294))]]], (102 ^ _119566) ^ [_123085, _123087, _123089, _123091, _123093, _123095] : [-(min(_123093, _123089, _123085)), min(_123095, _123091, _123087), _123095 = _123093, _123091 = _123089, _123087 = _123085], (312 ^ _119566) ^ [_130297, _130299] : [_130299 = _130297, -(sum(_130299) = sum(_130297))], (206 ^ _119566) ^ [_126562, _126564, _126566, _126568] : [-(subset(_126566, _126562)), subset(_126568, _126564), _126568 = _126566, _126564 = _126562], (488 ^ _119566) ^ [_136416, _136418] : [490 ^ _119566 : [(493 ^ _119566) ^ [] : [member(_136418, 489 ^ [_136416, _136418])], (491 ^ _119566) ^ [] : [-(member(489 ^ [_136416, _136418], _136416))]], -(member(_136418, product(_136416)))], (700 ^ _119566) ^ [_144577, _144579, _144581] : [-(least(_144577, _144581, _144579)), member(_144577, _144579), 706 ^ _119566 : [(709 ^ _119566) ^ [] : [apply(_144581, _144577, 705 ^ [_144577, _144579, _144581])], (707 ^ _119566) ^ [] : [-(member(705 ^ [_144577, _144579, _144581], _144579))]]], (775 ^ _119566) ^ [_147339, _147341, _147343, _147345] : [least_upper_bound(_147345, _147343, _147341, _147339), 778 ^ _119566 : [(783 ^ _119566) ^ [_147650] : [-(apply(_147341, _147345, _147650)), member(_147650, _147339), upper_bound(_147650, _147341, _147343)], (781 ^ _119566) ^ [] : [-(upper_bound(_147345, _147341, _147343))], (779 ^ _119566) ^ [] : [-(member(_147345, _147343))]]], (4 ^ _119566) ^ [_119797, _119799] : [_119799 = _119797, -(_119797 = _119799)], (729 ^ _119566) ^ [_145601, _145603, _145605] : [-(max(_145601, _145605, _145603)), member(_145601, _145603), 735 ^ _119566 : [(740 ^ _119566) ^ [] : [_145601 = 734 ^ [_145601, _145603, _145605]], (738 ^ _119566) ^ [] : [-(apply(_145605, _145601, 734 ^ [_145601, _145603, _145605]))], (736 ^ _119566) ^ [] : [-(member(734 ^ [_145601, _145603, _145605], _145603))]]], (713 ^ _119566) ^ [_145091, _145093, _145095] : [max(_145091, _145095, _145093), 716 ^ _119566 : [(719 ^ _119566) ^ [_145315] : [-(_145091 = _145315), member(_145315, _145093), apply(_145095, _145091, _145315)], (717 ^ _119566) ^ [] : [-(member(_145091, _145093))]]], (66 ^ _119566) ^ [_121867, _121869, _121871, _121873, _121875, _121877] : [-(least(_121875, _121871, _121867)), least(_121877, _121873, _121869), _121877 = _121875, _121873 = _121871, _121869 = _121867], (419 ^ _119566) ^ [_134039, _134041, _134043] : [-(member(_134043, difference(_134039, _134041))), member(_134043, _134039), -(member(_134043, _134041))], (793 ^ _119566) ^ [_147952, _147954, _147956, _147958] : [-(least_upper_bound(_147958, _147956, _147954, _147952)), member(_147958, _147956), upper_bound(_147958, _147954, _147956), 803 ^ _119566 : [(808 ^ _119566) ^ [] : [apply(_147954, _147958, 802 ^ [_147952, _147954, _147956, _147958])], (806 ^ _119566) ^ [] : [-(upper_bound(802 ^ [_147952, _147954, _147956, _147958], _147954, _147956))], (804 ^ _119566) ^ [] : [-(member(802 ^ [_147952, _147954, _147956, _147958], _147952))]]], (451 ^ _119566) ^ [_135081, _135083, _135085] : [452 ^ _119566 : [(455 ^ _119566) ^ [] : [_135085 = _135081], (453 ^ _119566) ^ [] : [_135085 = _135083]], -(member(_135085, unordered_pair(_135083, _135081)))], (260 ^ _119566) ^ [_128425, _128427] : [_128427 = _128425, -(power_set(_128427) = power_set(_128425))], (688 ^ _119566) ^ [_144170, _144172, _144174] : [least(_144170, _144174, _144172), 691 ^ _119566 : [(694 ^ _119566) ^ [_144388] : [member(_144388, _144172), -(apply(_144174, _144170, _144388))], (692 ^ _119566) ^ [] : [-(member(_144170, _144172))]]], (296 ^ _119566) ^ [_129720, _129722] : [_129722 = _129720, -(singleton(_129722) = singleton(_129720))], (547 ^ _119566) ^ [_138444, _138446] : [-(order(_138446, _138444)), 551 ^ _119566 : [(554 ^ _119566) ^ [] : [apply(_138446, 550 ^ [_138444, _138446], 550 ^ [_138444, _138446])], (552 ^ _119566) ^ [] : [-(member(550 ^ [_138444, _138446], _138444))]], 559 ^ _119566 : [(560 ^ _119566) ^ [] : [-(member(557 ^ [_138444, _138446], _138444))], (564 ^ _119566) ^ [] : [-(apply(_138446, 557 ^ [_138444, _138446], 558 ^ [_138444, _138446]))], (568 ^ _119566) ^ [] : [557 ^ [_138444, _138446] = 558 ^ [_138444, _138446]], (566 ^ _119566) ^ [] : [-(apply(_138446, 558 ^ [_138444, _138446], 557 ^ [_138444, _138446]))], (562 ^ _119566) ^ [] : [-(member(558 ^ [_138444, _138446], _138444))]], 572 ^ _119566 : [(575 ^ _119566) ^ [] : [-(member(570 ^ [_138444, _138446], _138444))], (573 ^ _119566) ^ [] : [-(member(569 ^ [_138444, _138446], _138444))], (583 ^ _119566) ^ [] : [apply(_138446, 569 ^ [_138444, _138446], 571 ^ [_138444, _138446])], (579 ^ _119566) ^ [] : [-(apply(_138446, 569 ^ [_138444, _138446], 570 ^ [_138444, _138446]))], (581 ^ _119566) ^ [] : [-(apply(_138446, 570 ^ [_138444, _138446], 571 ^ [_138444, _138446]))], (577 ^ _119566) ^ [] : [-(member(571 ^ [_138444, _138446], _138444))]]], (242 ^ _119566) ^ [_127804, _127806, _127808, _127810, _127812, _127814] : [-(apply(_127812, _127808, _127804)), apply(_127814, _127810, _127806), _127814 = _127812, _127810 = _127808, _127806 = _127804], (675 ^ _119566) ^ [_143656, _143658, _143660] : [-(greatest(_143656, _143660, _143658)), member(_143656, _143658), 681 ^ _119566 : [(684 ^ _119566) ^ [] : [apply(_143660, 680 ^ [_143656, _143658, _143660], _143656)], (682 ^ _119566) ^ [] : [-(member(680 ^ [_143656, _143658, _143660], _143658))]]], (401 ^ _119566) ^ [_133367, _133369, _133371] : [402 ^ _119566 : [(405 ^ _119566) ^ [] : [member(_133371, _133367)], (403 ^ _119566) ^ [] : [member(_133371, _133369)]], -(member(_133371, union(_133369, _133367)))], (812 ^ _119566) ^ [_148681, _148683, _148685, _148687] : [greatest_lower_bound(_148687, _148685, _148683, _148681), 815 ^ _119566 : [(820 ^ _119566) ^ [_148992] : [-(apply(_148683, _148992, _148687)), member(_148992, _148681), lower_bound(_148992, _148683, _148685)], (818 ^ _119566) ^ [] : [-(lower_bound(_148687, _148683, _148685))], (816 ^ _119566) ^ [] : [-(member(_148687, _148685))]]], (411 ^ _119566) ^ [_133787, _133789, _133791] : [member(_133791, difference(_133787, _133789)), 414 ^ _119566 : [(417 ^ _119566) ^ [] : [member(_133791, _133789)], (415 ^ _119566) ^ [] : [-(member(_133791, _133787))]]], (607 ^ _119566) ^ [_140965, _140967] : [-(total_order(_140967, _140965)), order(_140967, _140965), 614 ^ _119566 : [(617 ^ _119566) ^ [] : [-(member(613 ^ [_140965, _140967], _140965))], (619 ^ _119566) ^ [] : [apply(_140967, 612 ^ [_140965, _140967], 613 ^ [_140965, _140967])], (621 ^ _119566) ^ [] : [apply(_140967, 613 ^ [_140965, _140967], 612 ^ [_140965, _140967])], (615 ^ _119566) ^ [] : [-(member(612 ^ [_140965, _140967], _140965))]]], (302 ^ _119566) ^ [_129966, _129968, _129970, _129972] : [-(unordered_pair(_129972, _129968) = unordered_pair(_129970, _129966)), _129972 = _129970, _129968 = _129966], (635 ^ _119566) ^ [_142076, _142078, _142080] : [637 ^ _119566 : [(640 ^ _119566) ^ [] : [apply(_142080, 636 ^ [_142076, _142078, _142080], _142076)], (638 ^ _119566) ^ [] : [-(member(636 ^ [_142076, _142078, _142080], _142078))]], -(upper_bound(_142076, _142080, _142078))], (334 ^ _119566) ^ [_131110, _131112] : [336 ^ _119566 : [(339 ^ _119566) ^ [] : [member(335 ^ [_131110, _131112], _131110)], (337 ^ _119566) ^ [] : [-(member(335 ^ [_131110, _131112], _131112))]], -(subset(_131112, _131110))], (468 ^ _119566) ^ [_135721, _135723] : [-(member(_135723, sum(_135721))), 469 ^ _119566 : [(470 ^ _119566) ^ [_135815] : [member(_135815, _135721), member(_135723, _135815)]]], (10 ^ _119566) ^ [_120001, _120003, _120005] : [-(_120005 = _120001), _120005 = _120003, _120003 = _120001], (84 ^ _119566) ^ [_122476, _122478, _122480, _122482, _122484, _122486] : [-(max(_122484, _122480, _122476)), max(_122486, _122482, _122478), _122486 = _122484, _122482 = _122480, _122478 = _122476], (220 ^ _119566) ^ [_127062, _127064, _127066, _127068, _127070, _127072, _127074, _127076] : [-(least_upper_bound(_127074, _127070, _127066, _127062)), least_upper_bound(_127076, _127072, _127068, _127064), _127076 = _127074, _127072 = _127070, _127068 = _127066, _127064 = _127062], (160 ^ _119566) ^ [_125065, _125067, _125069, _125071] : [-(member(_125069, _125065)), member(_125071, _125067), _125071 = _125069, _125067 = _125065], (351 ^ _119566) ^ [_131733, _131735] : [-(equal_set(_131735, _131733)), subset(_131735, _131733), subset(_131733, _131735)], (391 ^ _119566) ^ [_133099, _133101, _133103] : [member(_133103, union(_133101, _133099)), -(member(_133103, _133101)), -(member(_133103, _133099))], (625 ^ _119566) ^ [_141745, _141747, _141749] : [upper_bound(_141745, _141749, _141747), 628 ^ _119566 : [(629 ^ _119566) ^ [_141889] : [member(_141889, _141747), -(apply(_141749, _141889, _141745))]]], (361 ^ _119566) ^ [_132063, _132065] : [member(_132065, power_set(_132063)), -(subset(_132065, _132063))], (138 ^ _119566) ^ [_124331, _124333, _124335, _124337, _124339, _124341, _124343, _124345] : [-(greatest_lower_bound(_124343, _124339, _124335, _124331)), greatest_lower_bound(_124345, _124341, _124337, _124333), _124345 = _124343, _124341 = _124339, _124337 = _124335, _124333 = _124331], (2 ^ _119566) ^ [_119690] : [-(_119690 = _119690)]], input).
% 43.56/42.83 ncf('1',plain,[-(subset(852 ^ [], 853 ^ []))],start(859 ^ 0)).
% 43.56/42.83 ncf('1.1',plain,[subset(852 ^ [], 853 ^ []), 328 : member(860 ^ [], 852 ^ []), 328 : -(member(860 ^ [], 853 ^ []))],extension(324 ^ 1,bind([[_130796, _130798, _130933], [853 ^ [], 852 ^ [], 860 ^ []]]))).
% 43.56/42.83 ncf('1.1.1',plain,[-(member(860 ^ [], 852 ^ [])), least_upper_bound(860 ^ [], 852 ^ [], 848 ^ [], 849 ^ [])],extension(775 ^ 4,bind([[_147339, _147341, _147343, _147345], [849 ^ [], 848 ^ [], 852 ^ [], 860 ^ []]]))).
% 43.56/42.83 ncf('1.1.1.1',plain,[-(least_upper_bound(860 ^ [], 852 ^ [], 848 ^ [], 849 ^ []))],extension(863 ^ 5)).
% 43.56/42.83 ncf('1.1.2',plain,[member(860 ^ [], 853 ^ []), 629 : -(apply(848 ^ [], 860 ^ [], 861 ^ [])), 629 : upper_bound(861 ^ [], 848 ^ [], 853 ^ [])],extension(625 ^ 4,bind([[_141745, _141747, _141749, _141889], [861 ^ [], 853 ^ [], 848 ^ [], 860 ^ []]]))).
% 43.56/42.83 ncf('1.1.2.1',plain,[apply(848 ^ [], 860 ^ [], 861 ^ [])],extension(867 ^ 7)).
% 43.56/42.83 ncf('1.1.2.2',plain,[-(upper_bound(861 ^ [], 848 ^ [], 853 ^ [])), least_upper_bound(861 ^ [], 853 ^ [], 848 ^ [], 849 ^ [])],extension(775 ^ 5,bind([[_147339, _147341, _147343, _147345], [849 ^ [], 848 ^ [], 853 ^ [], 861 ^ []]]))).
% 43.56/42.83 ncf('1.1.2.2.1',plain,[-(least_upper_bound(861 ^ [], 853 ^ [], 848 ^ [], 849 ^ []))],extension(865 ^ 6)).
% 43.56/42.83 %-----------------------------------------------------
% 43.56/42.83 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------