TSTP Solution File: SET800+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% 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 11:56:27 EDT 2023
% Result : Theorem 43.44s 42.73s
% Output : Proof 43.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 18:53:57 EDT 2023
% 0.11/0.33 % CPUTime :
% 43.44/42.73
% 43.44/42.73 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.44/42.73 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.44/42.73 %-----------------------------------------------------
% 43.44/42.73 ncf(matrix, plain, [(857 ^ _150173) ^ [] : [-(subset(853 ^ [], 849 ^ []))], (865 ^ _150173) ^ [] : [-(greatest_lower_bound(861 ^ [], 853 ^ [], 848 ^ [], 849 ^ []))], (867 ^ _150173) ^ [] : [apply(848 ^ [], 861 ^ [], 860 ^ [])], (859 ^ _150173) ^ [] : [-(subset(852 ^ [], 853 ^ []))], (851 ^ _150173) ^ [] : [-(order(848 ^ [], 849 ^ []))], (855 ^ _150173) ^ [] : [-(subset(852 ^ [], 849 ^ []))], (863 ^ _150173) ^ [] : [-(greatest_lower_bound(860 ^ [], 852 ^ [], 848 ^ [], 849 ^ []))], !, (318 ^ _119478) ^ [_130407, _130409] : [_130409 = _130407, -(product(_130409) = product(_130407))], (644 ^ _119478) ^ [_142409, _142411, _142413] : [lower_bound(_142409, _142413, _142411), 647 ^ _119478 : [(648 ^ _119478) ^ [_142553] : [member(_142553, _142411), -(apply(_142413, _142409, _142553))]]], (663 ^ _119478) ^ [_143161, _143163, _143165] : [greatest(_143161, _143165, _143163), 666 ^ _119478 : [(669 ^ _119478) ^ [_143379] : [member(_143379, _143163), -(apply(_143165, _143379, _143161))], (667 ^ _119478) ^ [] : [-(member(_143161, _143163))]]], (744 ^ _119478) ^ [_146120, _146122, _146124] : [min(_146120, _146124, _146122), 747 ^ _119478 : [(750 ^ _119478) ^ [_146344] : [-(_146120 = _146344), member(_146344, _146122), apply(_146124, _146344, _146120)], (748 ^ _119478) ^ [] : [-(member(_146120, _146122))]]], (587 ^ _119478) ^ [_140249, _140251] : [total_order(_140251, _140249), 590 ^ _119478 : [(593 ^ _119478) ^ [_140491, _140493] : [member(_140493, _140249), member(_140491, _140249), -(apply(_140251, _140493, _140491)), -(apply(_140251, _140491, _140493))], (591 ^ _119478) ^ [] : [-(order(_140251, _140249))]]], (120 ^ _119478) ^ [_123634, _123636, _123638, _123640, _123642, _123644, _123646, _123648] : [-(least_upper_bound(_123646, _123642, _123638, _123634)), least_upper_bound(_123648, _123644, _123640, _123636), _123648 = _123646, _123644 = _123642, _123640 = _123638, _123636 = _123634], (381 ^ _119478) ^ [_132651, _132653, _132655] : [-(member(_132655, intersection(_132653, _132651))), member(_132655, _132653), member(_132655, _132651)], (373 ^ _119478) ^ [_132400, _132402, _132404] : [member(_132404, intersection(_132402, _132400)), 376 ^ _119478 : [(379 ^ _119478) ^ [] : [-(member(_132404, _132400))], (377 ^ _119478) ^ [] : [-(member(_132404, _132402))]]], (478 ^ _119478) ^ [_136010, _136012] : [member(_136012, product(_136010)), 481 ^ _119478 : [(482 ^ _119478) ^ [_136151] : [member(_136151, _136010), -(member(_136012, _136151))]]], (459 ^ _119478) ^ [_135322, _135324] : [member(_135324, sum(_135322)), 463 ^ _119478 : [(466 ^ _119478) ^ [] : [-(member(_135324, 462 ^ [_135322, _135324]))], (464 ^ _119478) ^ [] : [-(member(462 ^ [_135322, _135324], _135322))]]], (441 ^ _119478) ^ [_134725, _134727, _134729] : [member(_134729, unordered_pair(_134727, _134725)), -(_134729 = _134727), -(_134729 = _134725)], (654 ^ _119478) ^ [_142740, _142742, _142744] : [656 ^ _119478 : [(659 ^ _119478) ^ [] : [apply(_142744, _142740, 655 ^ [_142740, _142742, _142744])], (657 ^ _119478) ^ [] : [-(member(655 ^ [_142740, _142742, _142744], _142742))]], -(lower_bound(_142740, _142744, _142742))], (286 ^ _119478) ^ [_129301, _129303, _129305, _129307] : [-(difference(_129307, _129303) = difference(_129305, _129301)), _129307 = _129305, _129303 = _129301], (266 ^ _119478) ^ [_128583, _128585, _128587, _128589] : [-(intersection(_128589, _128585) = intersection(_128587, _128583)), _128589 = _128587, _128585 = _128583], (429 ^ _119478) ^ [_134300, _134302] : [member(_134302, singleton(_134300)), -(_134302 = _134300)], (343 ^ _119478) ^ [_131408, _131410] : [equal_set(_131410, _131408), 346 ^ _119478 : [(349 ^ _119478) ^ [] : [-(subset(_131408, _131410))], (347 ^ _119478) ^ [] : [-(subset(_131410, _131408))]]], (48 ^ _119478) ^ [_121170, _121172, _121174, _121176, _121178, _121180] : [-(greatest(_121178, _121174, _121170)), greatest(_121180, _121176, _121172), _121180 = _121178, _121176 = _121174, _121172 = _121170], (760 ^ _119478) ^ [_146630, _146632, _146634] : [-(min(_146630, _146634, _146632)), member(_146630, _146632), 766 ^ _119478 : [(771 ^ _119478) ^ [] : [_146630 = 765 ^ [_146630, _146632, _146634]], (769 ^ _119478) ^ [] : [-(apply(_146634, 765 ^ [_146630, _146632, _146634], _146630))], (767 ^ _119478) ^ [] : [-(member(765 ^ [_146630, _146632, _146634], _146632))]]], (276 ^ _119478) ^ [_128942, _128944, _128946, _128948] : [-(union(_128948, _128944) = union(_128946, _128942)), _128948 = _128946, _128944 = _128942], (324 ^ _119478) ^ [_130708, _130710] : [subset(_130710, _130708), 327 ^ _119478 : [(328 ^ _119478) ^ [_130845] : [member(_130845, _130710), -(member(_130845, _130708))]]], (34 ^ _119478) ^ [_120698, _120700, _120702, _120704] : [-(total_order(_120702, _120698)), total_order(_120704, _120700), _120704 = _120702, _120700 = _120698], (497 ^ _119478) ^ [_136756, _136758] : [order(_136758, _136756), 500 ^ _119478 : [(525 ^ _119478) ^ [_137749, _137751, _137753] : [member(_137753, _136756), member(_137751, _136756), member(_137749, _136756), -(apply(_136758, _137753, _137749)), apply(_136758, _137753, _137751), apply(_136758, _137751, _137749)], (507 ^ _119478) ^ [_137232, _137234] : [member(_137234, _136756), member(_137232, _136756), -(_137234 = _137232), apply(_136758, _137234, _137232), apply(_136758, _137232, _137234)], (501 ^ _119478) ^ [_137010] : [member(_137010, _136756), -(apply(_136758, _137010, _137010))]]], (409 ^ _119478) ^ [_133549] : [member(_133549, empty_set)], (20 ^ _119478) ^ [_120254, _120256, _120258, _120260] : [-(equal_set(_120258, _120254)), equal_set(_120260, _120256), _120260 = _120258, _120256 = _120254], (192 ^ _119478) ^ [_126030, _126032, _126034, _126036] : [-(order(_126034, _126030)), order(_126036, _126032), _126036 = _126034, _126032 = _126030], (435 ^ _119478) ^ [_134466, _134468] : [_134468 = _134466, -(member(_134468, singleton(_134466)))], (367 ^ _119478) ^ [_132141, _132143] : [subset(_132143, _132141), -(member(_132143, power_set(_132141)))], (174 ^ _119478) ^ [_125449, _125451, _125453, _125455, _125457, _125459] : [-(lower_bound(_125457, _125453, _125449)), lower_bound(_125459, _125455, _125451), _125459 = _125457, _125455 = _125453, _125451 = _125449], (830 ^ _119478) ^ [_149206, _149208, _149210, _149212] : [-(greatest_lower_bound(_149212, _149210, _149208, _149206)), member(_149212, _149210), lower_bound(_149212, _149208, _149210), 840 ^ _119478 : [(845 ^ _119478) ^ [] : [apply(_149208, 839 ^ [_149206, _149208, _149210, _149212], _149212)], (843 ^ _119478) ^ [] : [-(lower_bound(839 ^ [_149206, _149208, _149210, _149212], _149208, _149210))], (841 ^ _119478) ^ [] : [-(member(839 ^ [_149206, _149208, _149210, _149212], _149206))]]], (102 ^ _119478) ^ [_122997, _122999, _123001, _123003, _123005, _123007] : [-(min(_123005, _123001, _122997)), min(_123007, _123003, _122999), _123007 = _123005, _123003 = _123001, _122999 = _122997], (312 ^ _119478) ^ [_130209, _130211] : [_130211 = _130209, -(sum(_130211) = sum(_130209))], (206 ^ _119478) ^ [_126474, _126476, _126478, _126480] : [-(subset(_126478, _126474)), subset(_126480, _126476), _126480 = _126478, _126476 = _126474], (488 ^ _119478) ^ [_136328, _136330] : [490 ^ _119478 : [(493 ^ _119478) ^ [] : [member(_136330, 489 ^ [_136328, _136330])], (491 ^ _119478) ^ [] : [-(member(489 ^ [_136328, _136330], _136328))]], -(member(_136330, product(_136328)))], (700 ^ _119478) ^ [_144489, _144491, _144493] : [-(least(_144489, _144493, _144491)), member(_144489, _144491), 706 ^ _119478 : [(709 ^ _119478) ^ [] : [apply(_144493, _144489, 705 ^ [_144489, _144491, _144493])], (707 ^ _119478) ^ [] : [-(member(705 ^ [_144489, _144491, _144493], _144491))]]], (775 ^ _119478) ^ [_147251, _147253, _147255, _147257] : [least_upper_bound(_147257, _147255, _147253, _147251), 778 ^ _119478 : [(783 ^ _119478) ^ [_147562] : [-(apply(_147253, _147257, _147562)), member(_147562, _147251), upper_bound(_147562, _147253, _147255)], (781 ^ _119478) ^ [] : [-(upper_bound(_147257, _147253, _147255))], (779 ^ _119478) ^ [] : [-(member(_147257, _147255))]]], (4 ^ _119478) ^ [_119709, _119711] : [_119711 = _119709, -(_119709 = _119711)], (729 ^ _119478) ^ [_145513, _145515, _145517] : [-(max(_145513, _145517, _145515)), member(_145513, _145515), 735 ^ _119478 : [(740 ^ _119478) ^ [] : [_145513 = 734 ^ [_145513, _145515, _145517]], (738 ^ _119478) ^ [] : [-(apply(_145517, _145513, 734 ^ [_145513, _145515, _145517]))], (736 ^ _119478) ^ [] : [-(member(734 ^ [_145513, _145515, _145517], _145515))]]], (713 ^ _119478) ^ [_145003, _145005, _145007] : [max(_145003, _145007, _145005), 716 ^ _119478 : [(719 ^ _119478) ^ [_145227] : [-(_145003 = _145227), member(_145227, _145005), apply(_145007, _145003, _145227)], (717 ^ _119478) ^ [] : [-(member(_145003, _145005))]]], (66 ^ _119478) ^ [_121779, _121781, _121783, _121785, _121787, _121789] : [-(least(_121787, _121783, _121779)), least(_121789, _121785, _121781), _121789 = _121787, _121785 = _121783, _121781 = _121779], (419 ^ _119478) ^ [_133951, _133953, _133955] : [-(member(_133955, difference(_133951, _133953))), member(_133955, _133951), -(member(_133955, _133953))], (793 ^ _119478) ^ [_147864, _147866, _147868, _147870] : [-(least_upper_bound(_147870, _147868, _147866, _147864)), member(_147870, _147868), upper_bound(_147870, _147866, _147868), 803 ^ _119478 : [(808 ^ _119478) ^ [] : [apply(_147866, _147870, 802 ^ [_147864, _147866, _147868, _147870])], (806 ^ _119478) ^ [] : [-(upper_bound(802 ^ [_147864, _147866, _147868, _147870], _147866, _147868))], (804 ^ _119478) ^ [] : [-(member(802 ^ [_147864, _147866, _147868, _147870], _147864))]]], (451 ^ _119478) ^ [_134993, _134995, _134997] : [452 ^ _119478 : [(455 ^ _119478) ^ [] : [_134997 = _134993], (453 ^ _119478) ^ [] : [_134997 = _134995]], -(member(_134997, unordered_pair(_134995, _134993)))], (260 ^ _119478) ^ [_128337, _128339] : [_128339 = _128337, -(power_set(_128339) = power_set(_128337))], (688 ^ _119478) ^ [_144082, _144084, _144086] : [least(_144082, _144086, _144084), 691 ^ _119478 : [(694 ^ _119478) ^ [_144300] : [member(_144300, _144084), -(apply(_144086, _144082, _144300))], (692 ^ _119478) ^ [] : [-(member(_144082, _144084))]]], (296 ^ _119478) ^ [_129632, _129634] : [_129634 = _129632, -(singleton(_129634) = singleton(_129632))], (547 ^ _119478) ^ [_138356, _138358] : [-(order(_138358, _138356)), 551 ^ _119478 : [(554 ^ _119478) ^ [] : [apply(_138358, 550 ^ [_138356, _138358], 550 ^ [_138356, _138358])], (552 ^ _119478) ^ [] : [-(member(550 ^ [_138356, _138358], _138356))]], 559 ^ _119478 : [(560 ^ _119478) ^ [] : [-(member(557 ^ [_138356, _138358], _138356))], (564 ^ _119478) ^ [] : [-(apply(_138358, 557 ^ [_138356, _138358], 558 ^ [_138356, _138358]))], (568 ^ _119478) ^ [] : [557 ^ [_138356, _138358] = 558 ^ [_138356, _138358]], (566 ^ _119478) ^ [] : [-(apply(_138358, 558 ^ [_138356, _138358], 557 ^ [_138356, _138358]))], (562 ^ _119478) ^ [] : [-(member(558 ^ [_138356, _138358], _138356))]], 572 ^ _119478 : [(575 ^ _119478) ^ [] : [-(member(570 ^ [_138356, _138358], _138356))], (573 ^ _119478) ^ [] : [-(member(569 ^ [_138356, _138358], _138356))], (583 ^ _119478) ^ [] : [apply(_138358, 569 ^ [_138356, _138358], 571 ^ [_138356, _138358])], (579 ^ _119478) ^ [] : [-(apply(_138358, 569 ^ [_138356, _138358], 570 ^ [_138356, _138358]))], (581 ^ _119478) ^ [] : [-(apply(_138358, 570 ^ [_138356, _138358], 571 ^ [_138356, _138358]))], (577 ^ _119478) ^ [] : [-(member(571 ^ [_138356, _138358], _138356))]]], (242 ^ _119478) ^ [_127716, _127718, _127720, _127722, _127724, _127726] : [-(apply(_127724, _127720, _127716)), apply(_127726, _127722, _127718), _127726 = _127724, _127722 = _127720, _127718 = _127716], (675 ^ _119478) ^ [_143568, _143570, _143572] : [-(greatest(_143568, _143572, _143570)), member(_143568, _143570), 681 ^ _119478 : [(684 ^ _119478) ^ [] : [apply(_143572, 680 ^ [_143568, _143570, _143572], _143568)], (682 ^ _119478) ^ [] : [-(member(680 ^ [_143568, _143570, _143572], _143570))]]], (401 ^ _119478) ^ [_133279, _133281, _133283] : [402 ^ _119478 : [(405 ^ _119478) ^ [] : [member(_133283, _133279)], (403 ^ _119478) ^ [] : [member(_133283, _133281)]], -(member(_133283, union(_133281, _133279)))], (812 ^ _119478) ^ [_148593, _148595, _148597, _148599] : [greatest_lower_bound(_148599, _148597, _148595, _148593), 815 ^ _119478 : [(820 ^ _119478) ^ [_148904] : [-(apply(_148595, _148904, _148599)), member(_148904, _148593), lower_bound(_148904, _148595, _148597)], (818 ^ _119478) ^ [] : [-(lower_bound(_148599, _148595, _148597))], (816 ^ _119478) ^ [] : [-(member(_148599, _148597))]]], (411 ^ _119478) ^ [_133699, _133701, _133703] : [member(_133703, difference(_133699, _133701)), 414 ^ _119478 : [(417 ^ _119478) ^ [] : [member(_133703, _133701)], (415 ^ _119478) ^ [] : [-(member(_133703, _133699))]]], (607 ^ _119478) ^ [_140877, _140879] : [-(total_order(_140879, _140877)), order(_140879, _140877), 614 ^ _119478 : [(617 ^ _119478) ^ [] : [-(member(613 ^ [_140877, _140879], _140877))], (619 ^ _119478) ^ [] : [apply(_140879, 612 ^ [_140877, _140879], 613 ^ [_140877, _140879])], (621 ^ _119478) ^ [] : [apply(_140879, 613 ^ [_140877, _140879], 612 ^ [_140877, _140879])], (615 ^ _119478) ^ [] : [-(member(612 ^ [_140877, _140879], _140877))]]], (302 ^ _119478) ^ [_129878, _129880, _129882, _129884] : [-(unordered_pair(_129884, _129880) = unordered_pair(_129882, _129878)), _129884 = _129882, _129880 = _129878], (635 ^ _119478) ^ [_141988, _141990, _141992] : [637 ^ _119478 : [(640 ^ _119478) ^ [] : [apply(_141992, 636 ^ [_141988, _141990, _141992], _141988)], (638 ^ _119478) ^ [] : [-(member(636 ^ [_141988, _141990, _141992], _141990))]], -(upper_bound(_141988, _141992, _141990))], (334 ^ _119478) ^ [_131022, _131024] : [336 ^ _119478 : [(339 ^ _119478) ^ [] : [member(335 ^ [_131022, _131024], _131022)], (337 ^ _119478) ^ [] : [-(member(335 ^ [_131022, _131024], _131024))]], -(subset(_131024, _131022))], (468 ^ _119478) ^ [_135633, _135635] : [-(member(_135635, sum(_135633))), 469 ^ _119478 : [(470 ^ _119478) ^ [_135727] : [member(_135727, _135633), member(_135635, _135727)]]], (10 ^ _119478) ^ [_119913, _119915, _119917] : [-(_119917 = _119913), _119917 = _119915, _119915 = _119913], (84 ^ _119478) ^ [_122388, _122390, _122392, _122394, _122396, _122398] : [-(max(_122396, _122392, _122388)), max(_122398, _122394, _122390), _122398 = _122396, _122394 = _122392, _122390 = _122388], (220 ^ _119478) ^ [_126974, _126976, _126978, _126980, _126982, _126984, _126986, _126988] : [-(greatest_lower_bound(_126986, _126982, _126978, _126974)), greatest_lower_bound(_126988, _126984, _126980, _126976), _126988 = _126986, _126984 = _126982, _126980 = _126978, _126976 = _126974], (160 ^ _119478) ^ [_124977, _124979, _124981, _124983] : [-(member(_124981, _124977)), member(_124983, _124979), _124983 = _124981, _124979 = _124977], (351 ^ _119478) ^ [_131645, _131647] : [-(equal_set(_131647, _131645)), subset(_131647, _131645), subset(_131645, _131647)], (391 ^ _119478) ^ [_133011, _133013, _133015] : [member(_133015, union(_133013, _133011)), -(member(_133015, _133013)), -(member(_133015, _133011))], (625 ^ _119478) ^ [_141657, _141659, _141661] : [upper_bound(_141657, _141661, _141659), 628 ^ _119478 : [(629 ^ _119478) ^ [_141801] : [member(_141801, _141659), -(apply(_141661, _141801, _141657))]]], (361 ^ _119478) ^ [_131975, _131977] : [member(_131977, power_set(_131975)), -(subset(_131977, _131975))], (142 ^ _119478) ^ [_124396, _124398, _124400, _124402, _124404, _124406] : [-(upper_bound(_124404, _124400, _124396)), upper_bound(_124406, _124402, _124398), _124406 = _124404, _124402 = _124400, _124398 = _124396], (2 ^ _119478) ^ [_119602] : [-(_119602 = _119602)]], input).
% 43.44/42.73 ncf('1',plain,[-(subset(852 ^ [], 853 ^ []))],start(859 ^ 0)).
% 43.44/42.73 ncf('1.1',plain,[subset(852 ^ [], 853 ^ []), 328 : member(860 ^ [], 852 ^ []), 328 : -(member(860 ^ [], 853 ^ []))],extension(324 ^ 1,bind([[_130708, _130710, _130845], [853 ^ [], 852 ^ [], 860 ^ []]]))).
% 43.44/42.73 ncf('1.1.1',plain,[-(member(860 ^ [], 852 ^ [])), greatest_lower_bound(860 ^ [], 852 ^ [], 848 ^ [], 849 ^ [])],extension(812 ^ 4,bind([[_148593, _148595, _148597, _148599], [849 ^ [], 848 ^ [], 852 ^ [], 860 ^ []]]))).
% 43.44/42.73 ncf('1.1.1.1',plain,[-(greatest_lower_bound(860 ^ [], 852 ^ [], 848 ^ [], 849 ^ []))],extension(863 ^ 5)).
% 43.44/42.73 ncf('1.1.2',plain,[member(860 ^ [], 853 ^ []), 648 : -(apply(848 ^ [], 861 ^ [], 860 ^ [])), 648 : lower_bound(861 ^ [], 848 ^ [], 853 ^ [])],extension(644 ^ 4,bind([[_142409, _142411, _142413, _142553], [861 ^ [], 853 ^ [], 848 ^ [], 860 ^ []]]))).
% 43.44/42.73 ncf('1.1.2.1',plain,[apply(848 ^ [], 861 ^ [], 860 ^ [])],extension(867 ^ 7)).
% 43.44/42.73 ncf('1.1.2.2',plain,[-(lower_bound(861 ^ [], 848 ^ [], 853 ^ [])), greatest_lower_bound(861 ^ [], 853 ^ [], 848 ^ [], 849 ^ [])],extension(812 ^ 5,bind([[_148593, _148595, _148597, _148599], [849 ^ [], 848 ^ [], 853 ^ [], 861 ^ []]]))).
% 43.44/42.73 ncf('1.1.2.2.1',plain,[-(greatest_lower_bound(861 ^ [], 853 ^ [], 848 ^ [], 849 ^ []))],extension(865 ^ 6)).
% 43.44/42.73 %-----------------------------------------------------
% 43.44/42.73 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------