%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU167+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 12:02:29 EDT 2023

% Result   : Theorem 44.32s 43.77s
% Output   : Proof 44.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU167+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May 18 13:24:37 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 44.32/43.77  
% 44.32/43.77  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 44.32/43.77  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.32/43.77  %-----------------------------------------------------
% 44.32/43.77  ncf(matrix, plain, [(1139 ^ _204687) ^ [] : [subset(cartesian_product2(1130 ^ [], 1132 ^ []), cartesian_product2(1131 ^ [], 1133 ^ []))], (1137 ^ _204687) ^ [] : [-(subset(1132 ^ [], 1133 ^ []))], (1135 ^ _204687) ^ [] : [-(subset(1130 ^ [], 1131 ^ []))], !, (126 ^ _164204) ^ [_168453, _168455] : [_168455 = _168453, -(union(_168455) = union(_168453))], (710 ^ _164204) ^ [_188885, _188887] : [in(_188887, _188885), -(subset(singleton(_188887), _188885))], (692 ^ _164204) ^ [_188260, _188262] : [disjoint(singleton(_188262), _188260), in(_188262, _188260)], (1085 ^ _164204) ^ [_202324, _202326] : [set_difference(_202326, _202324) = _202326, -(disjoint(_202326, _202324))], (1051 ^ _164204) ^ [_201109, _201111] : [-(in(_201109, _201111)), -(set_difference(_201111, singleton(_201109)) = _201111)], (1035 ^ _164204) ^ [_200598, _200600, _200602] : [-(disjoint(_200602, _200598)), subset(_200602, _200600), disjoint(_200600, _200598)], (391 ^ _164204) ^ [_178092, _178094, _178096] : [-(_178092 = cartesian_product2(_178096, _178094)), 409 ^ _164204 : [(412 ^ _164204) ^ [] : [-(in(408 ^ [_178092, _178094, _178096], _178094))], (414 ^ _164204) ^ [] : [-(392 ^ [_178092, _178094, _178096] = ordered_pair(407 ^ [_178092, _178094, _178096], 408 ^ [_178092, _178094, _178096]))], (416 ^ _164204) ^ [] : [in(392 ^ [_178092, _178094, _178096], _178092)], (410 ^ _164204) ^ [] : [-(in(407 ^ [_178092, _178094, _178096], _178096))]], 395 ^ _164204 : [(398 ^ _164204) ^ [_178430, _178432] : [in(_178432, _178096), in(_178430, _178094), 392 ^ [_178092, _178094, _178096] = ordered_pair(_178432, _178430)], (396 ^ _164204) ^ [] : [-(in(392 ^ [_178092, _178094, _178096], _178092))]]], (738 ^ _164204) ^ [_189879, _189881] : [subset(_189881, singleton(_189879)), -(_189881 = empty_set), -(_189881 = singleton(_189879))], (860 ^ _164204) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (430 ^ _164204) ^ [_179683, _179685] : [432 ^ _164204 : [(435 ^ _164204) ^ [] : [in(431 ^ [_179683, _179685], _179683)], (433 ^ _164204) ^ [] : [-(in(431 ^ [_179683, _179685], _179685))]], -(subset(_179685, _179683))], (638 ^ _164204) ^ [] : [true___, -(true___)], (578 ^ _164204) ^ [_185115, _185117] : [set_intersection2(_185117, _185115) = empty_set, -(disjoint(_185117, _185115))], (850 ^ _164204) ^ [_193872, _193874, _193876] : [-(subset(_193876, _193872)), subset(_193876, _193874), subset(_193874, _193872)], (656 ^ _164204) ^ [] : [true___, -(true___)], (836 ^ _164204) ^ [_193336, _193338] : [-(subset(set_intersection2(_193338, _193336), _193338))], (644 ^ _164204) ^ [] : [true___, -(true___)], (982 ^ _164204) ^ [_198599, _198601] : [disjoint(_198601, _198599), 983 ^ _164204 : [(984 ^ _164204) ^ [_198691] : [in(_198691, _198601), in(_198691, _198599)]]], (838 ^ _164204) ^ [_193462, _193464, _193466] : [-(subset(_193466, set_intersection2(_193464, _193462))), subset(_193466, _193464), subset(_193466, _193462)], (973 ^ _164204) ^ [_198285, _198287] : [-(disjoint(_198287, _198285)), 977 ^ _164204 : [(980 ^ _164204) ^ [] : [-(in(976 ^ [_198285, _198287], _198285))], (978 ^ _164204) ^ [] : [-(in(976 ^ [_198285, _198287], _198287))]]], (893 ^ _164204) ^ [_195395, _195397, _195399] : [subset(_195399, _195397), -(subset(set_difference(_195399, _195395), set_difference(_195397, _195395)))], (572 ^ _164204) ^ [_184947, _184949] : [disjoint(_184949, _184947), -(set_intersection2(_184949, _184947) = empty_set)], (953 ^ _164204) ^ [_197630, _197632] : [subset(_197632, singleton(_197630)), -(_197632 = empty_set), -(_197632 = singleton(_197630))], (704 ^ _164204) ^ [_188719, _188721] : [subset(singleton(_188721), _188719), -(in(_188721, _188719))], (756 ^ _164204) ^ [_190433, _190435] : [in(_190435, _190433), -(subset(_190435, union(_190433)))], (48 ^ _164204) ^ [_165840, _165842] : [-(empty(_165840)), _165842 = _165840, empty(_165842)], (933 ^ _164204) ^ [_196930, _196932, _196934] : [subset(unordered_pair(_196934, _196932), _196930), 936 ^ _164204 : [(939 ^ _164204) ^ [] : [-(in(_196932, _196930))], (937 ^ _164204) ^ [] : [-(in(_196934, _196930))]]], (439 ^ _164204) ^ [_180083, _180085, _180087] : [_180083 = set_intersection2(_180087, _180085), 442 ^ _164204 : [(451 ^ _164204) ^ [_180524] : [-(in(_180524, _180083)), in(_180524, _180087), in(_180524, _180085)], (443 ^ _164204) ^ [_180265] : [in(_180265, _180083), 446 ^ _164204 : [(449 ^ _164204) ^ [] : [-(in(_180265, _180085))], (447 ^ _164204) ^ [] : [-(in(_180265, _180087))]]]]], (650 ^ _164204) ^ [] : [true___, -(true___)], (802 ^ _164204) ^ [_192107, _192109, _192111, _192113] : [-(in(ordered_pair(_192113, _192111), cartesian_product2(_192109, _192107))), in(_192113, _192109), in(_192111, _192107)], (231 ^ _164204) ^ [_172227] : [_172227 = empty_set, 234 ^ _164204 : [(235 ^ _164204) ^ [_172340] : [in(_172340, _172227)]]], (549 ^ _164204) ^ [_184056, _184058, _184060] : [-(_184056 = set_difference(_184060, _184058)), 561 ^ _164204 : [(566 ^ _164204) ^ [] : [in(550 ^ [_184056, _184058, _184060], _184056)], (564 ^ _164204) ^ [] : [in(550 ^ [_184056, _184058, _184060], _184058)], (562 ^ _164204) ^ [] : [-(in(550 ^ [_184056, _184058, _184060], _184060))]], 553 ^ _164204 : [(556 ^ _164204) ^ [] : [in(550 ^ [_184056, _184058, _184060], _184060), -(in(550 ^ [_184056, _184058, _184060], _184058))], (554 ^ _164204) ^ [] : [-(in(550 ^ [_184056, _184058, _184060], _184056))]]], (10 ^ _164204) ^ [_164639, _164641, _164643] : [-(_164643 = _164639), _164643 = _164641, _164641 = _164639], (1000 ^ _164204) ^ [_199255, _199257] : [subset(_199257, _199255), -(_199255 = set_union2(_199257, set_difference(_199255, _199257)))], (1012 ^ _164204) ^ [_199682, _199684] : [-(set_difference(_199684, set_difference(_199684, _199682)) = set_intersection2(_199684, _199682))], (848 ^ _164204) ^ [_193748] : [-(set_union2(_193748, empty_set) = _193748)], (1065 ^ _164204) ^ [_201605, _201607] : [subset(singleton(_201607), singleton(_201605)), -(_201607 = _201605)], (951 ^ _164204) ^ [_197483, _197485] : [-(set_union2(_197485, set_difference(_197483, _197485)) = set_union2(_197485, _197483))], (584 ^ _164204) ^ [_185362, _185364] : [proper_subset(_185364, _185362), 587 ^ _164204 : [(590 ^ _164204) ^ [] : [_185364 = _185362], (588 ^ _164204) ^ [] : [-(subset(_185364, _185362))]]], (154 ^ _164204) ^ [_169474, _169476, _169478, _169480] : [-(cartesian_product2(_169480, _169476) = cartesian_product2(_169478, _169474)), _169480 = _169478, _169476 = _169474], (788 ^ _164204) ^ [_191575, _191577] : [disjoint(_191577, _191575), -(disjoint(_191575, _191577))], (992 ^ _164204) ^ [_198948] : [subset(_198948, empty_set), -(_198948 = empty_set)], (868 ^ _164204) ^ [_194476, _194478] : [subset(_194478, _194476), -(set_intersection2(_194478, _194476) = _194478)], (728 ^ _164204) ^ [_189530, _189532, _189534] : [subset(_189534, _189532), -(in(_189530, _189534)), -(subset(_189534, set_difference(_189532, singleton(_189530))))], (482 ^ _164204) ^ [_181590, _181592] : [_181590 = union(_181592), 485 ^ _164204 : [(495 ^ _164204) ^ [_182098] : [-(in(_182098, _181590)), 496 ^ _164204 : [(497 ^ _164204) ^ [_182196] : [in(_182098, _182196), in(_182196, _181592)]]], (486 ^ _164204) ^ [_181771] : [in(_181771, _181590), 490 ^ _164204 : [(493 ^ _164204) ^ [] : [-(in(489 ^ [_181590, _181592, _181771], _181592))], (491 ^ _164204) ^ [] : [-(in(_181771, 489 ^ [_181590, _181592, _181771]))]]]]], (592 ^ _164204) ^ [_185600, _185602] : [-(proper_subset(_185602, _185600)), subset(_185602, _185600), -(_185602 = _185600)], (812 ^ _164204) ^ [_192468, _192470, _192472, _192474] : [unordered_pair(_192474, _192472) = unordered_pair(_192470, _192468), -(_192474 = _192470), -(_192474 = _192468)], (1117 ^ _164204) ^ [_203408, _203410] : [in(_203410, _203408), -(subset(_203410, union(_203408)))], (1029 ^ _164204) ^ [_200375, _200377] : [subset(_200377, _200375), proper_subset(_200375, _200377)], (96 ^ _164204) ^ [_167404, _167406, _167408, _167410] : [-(set_intersection2(_167410, _167406) = set_intersection2(_167408, _167404)), _167410 = _167408, _167406 = _167404], (998 ^ _164204) ^ [_199137, _199139] : [-(set_difference(set_union2(_199139, _199137), _199137) = set_difference(_199139, _199137))], (927 ^ _164204) ^ [_196671, _196673] : [in(_196673, _196671), -(subset(singleton(_196673), _196671))], (505 ^ _164204) ^ [_182435, _182437] : [-(_182435 = union(_182437)), 518 ^ _164204 : [(523 ^ _164204) ^ [] : [in(506 ^ [_182435, _182437], _182435)], (521 ^ _164204) ^ [] : [-(in(517 ^ [_182435, _182437], _182437))], (519 ^ _164204) ^ [] : [-(in(506 ^ [_182435, _182437], 517 ^ [_182435, _182437]))]], 509 ^ _164204 : [(512 ^ _164204) ^ [_182718] : [in(506 ^ [_182435, _182437], _182718), in(_182718, _182437)], (510 ^ _164204) ^ [] : [-(in(506 ^ [_182435, _182437], _182435))]]], (86 ^ _164204) ^ [_167045, _167047, _167049, _167051] : [-(ordered_pair(_167051, _167047) = ordered_pair(_167049, _167045)), _167051 = _167049, _167047 = _167045], (664 ^ _164204) ^ [_187131, _187133] : [empty(ordered_pair(_187133, _187131))], (608 ^ _164204) ^ [] : [true___, -(true___)], (794 ^ _164204) ^ [_191842, _191844, _191846, _191848] : [in(ordered_pair(_191848, _191846), cartesian_product2(_191844, _191842)), 797 ^ _164204 : [(800 ^ _164204) ^ [] : [-(in(_191846, _191842))], (798 ^ _164204) ^ [] : [-(in(_191848, _191844))]]], (614 ^ _164204) ^ [] : [true___, -(true___)], (216 ^ _164204) ^ [_171676, _171678] : [-(_171676 = singleton(_171678)), 220 ^ _164204 : [(223 ^ _164204) ^ [] : [217 ^ [_171676, _171678] = _171678], (221 ^ _164204) ^ [] : [-(in(217 ^ [_171676, _171678], _171676))]], 224 ^ _164204 : [(227 ^ _164204) ^ [] : [in(217 ^ [_171676, _171678], _171676)], (225 ^ _164204) ^ [] : [-(217 ^ [_171676, _171678] = _171678)]]], (20 ^ _164204) ^ [_164980, _164982, _164984, _164986] : [-(proper_subset(_164984, _164980)), proper_subset(_164986, _164982), _164986 = _164984, _164982 = _164980], (1045 ^ _164204) ^ [_200936, _200938] : [set_difference(_200938, singleton(_200936)) = _200938, in(_200936, _200938)], (297 ^ _164204) ^ [_174522, _174524, _174526] : [-(_174522 = unordered_pair(_174526, _174524)), 301 ^ _164204 : [(306 ^ _164204) ^ [] : [298 ^ [_174522, _174524, _174526] = _174524], (304 ^ _164204) ^ [] : [298 ^ [_174522, _174524, _174526] = _174526], (302 ^ _164204) ^ [] : [-(in(298 ^ [_174522, _174524, _174526], _174522))]], 307 ^ _164204 : [(308 ^ _164204) ^ [] : [-(298 ^ [_174522, _174524, _174526] = _174526), -(298 ^ [_174522, _174524, _174526] = _174524)], (314 ^ _164204) ^ [] : [in(298 ^ [_174522, _174524, _174526], _174522)]]], (4 ^ _164204) ^ [_164435, _164437] : [_164437 = _164435, -(_164435 = _164437)], (461 ^ _164204) ^ [_180808, _180810, _180812] : [-(_180808 = set_intersection2(_180812, _180810)), 473 ^ _164204 : [(478 ^ _164204) ^ [] : [in(462 ^ [_180808, _180810, _180812], _180808)], (476 ^ _164204) ^ [] : [-(in(462 ^ [_180808, _180810, _180812], _180810))], (474 ^ _164204) ^ [] : [-(in(462 ^ [_180808, _180810, _180812], _180812))]], 465 ^ _164204 : [(468 ^ _164204) ^ [] : [in(462 ^ [_180808, _180810, _180812], _180812), in(462 ^ [_180808, _180810, _180812], _180810)], (466 ^ _164204) ^ [] : [-(in(462 ^ [_180808, _180810, _180812], _180808))]]], (164 ^ _164204) ^ [_169837, _169839] : [in(_169839, _169837), in(_169837, _169839)], (340 ^ _164204) ^ [_176041, _176043, _176045] : [-(_176041 = set_union2(_176045, _176043)), 344 ^ _164204 : [(349 ^ _164204) ^ [] : [in(341 ^ [_176041, _176043, _176045], _176043)], (347 ^ _164204) ^ [] : [in(341 ^ [_176041, _176043, _176045], _176045)], (345 ^ _164204) ^ [] : [-(in(341 ^ [_176041, _176043, _176045], _176041))]], 350 ^ _164204 : [(351 ^ _164204) ^ [] : [-(in(341 ^ [_176041, _176043, _176045], _176045)), -(in(341 ^ [_176041, _176043, _176045], _176043))], (357 ^ _164204) ^ [] : [in(341 ^ [_176041, _176043, _176045], _176041)]]], (786 ^ _164204) ^ [_191466, _191468] : [-(subset(_191468, _191468))], (58 ^ _164204) ^ [_166163, _166165, _166167, _166169] : [-(in(_166167, _166163)), in(_166169, _166165), _166169 = _166167, _166165 = _166163], (830 ^ _164204) ^ [_193135, _193137] : [subset(_193137, _193135), -(set_union2(_193137, _193135) = _193135)], (72 ^ _164204) ^ [_166587, _166589, _166591, _166593] : [-(subset(_166591, _166587)), subset(_166593, _166589), _166593 = _166591, _166589 = _166587], (182 ^ _164204) ^ [_170588, _170590] : [_170590 = _170588, 185 ^ _164204 : [(188 ^ _164204) ^ [] : [-(subset(_170588, _170590))], (186 ^ _164204) ^ [] : [-(subset(_170590, _170588))]]], (190 ^ _164204) ^ [_170825, _170827] : [-(_170827 = _170825), subset(_170827, _170825), subset(_170825, _170827)], (138 ^ _164204) ^ [_168889, _168891] : [_168891 = _168889, -(singleton(_168891) = singleton(_168889))], (971 ^ _164204) ^ [_198155] : [-(set_difference(_198155, empty_set) = _198155)], (1014 ^ _164204) ^ [_199771] : [-(set_difference(empty_set, _199771) = empty_set)], (1091 ^ _164204) ^ [_202542, _202544] : [empty(_202544), -(_202544 = _202542), empty(_202542)], (1006 ^ _164204) ^ [_199477, _199479] : [in(_199479, _199477), -(set_union2(singleton(_199479), _199477) = _199477)], (1071 ^ _164204) ^ [_201823, _201825] : [in(_201825, _201823), empty(_201823)], (822 ^ _164204) ^ [_192818, _192820, _192822] : [subset(_192822, _192820), 825 ^ _164204 : [(828 ^ _164204) ^ [] : [-(subset(cartesian_product2(_192818, _192822), cartesian_product2(_192818, _192820)))], (826 ^ _164204) ^ [] : [-(subset(cartesian_product2(_192822, _192818), cartesian_product2(_192820, _192818)))]]], (116 ^ _164204) ^ [_168122, _168124, _168126, _168128] : [-(set_union2(_168128, _168124) = set_union2(_168126, _168122)), _168128 = _168126, _168124 = _168122], (1111 ^ _164204) ^ [_203182, _203184, _203186] : [singleton(_203186) = unordered_pair(_203184, _203182), -(_203186 = _203184)], (1101 ^ _164204) ^ [_202853, _202855, _202857] : [-(subset(set_union2(_202857, _202853), _202855)), subset(_202857, _202855), subset(_202853, _202855)], (941 ^ _164204) ^ [_197181, _197183, _197185] : [-(subset(unordered_pair(_197185, _197183), _197181)), in(_197185, _197181), in(_197183, _197181)], (420 ^ _164204) ^ [_179369, _179371] : [subset(_179371, _179369), 423 ^ _164204 : [(424 ^ _164204) ^ [_179506] : [in(_179506, _179371), -(in(_179506, _179369))]]], (716 ^ _164204) ^ [_189130, _189132] : [set_difference(_189132, _189130) = empty_set, -(subset(_189132, _189130))], (237 ^ _164204) ^ [_172406] : [-(in(238 ^ [_172406], _172406)), -(_172406 = empty_set)], (200 ^ _164204) ^ [_171155, _171157] : [_171155 = singleton(_171157), 203 ^ _164204 : [(210 ^ _164204) ^ [_171497] : [_171497 = _171157, -(in(_171497, _171155))], (204 ^ _164204) ^ [_171325] : [in(_171325, _171155), -(_171325 = _171157)]]], (527 ^ _164204) ^ [_183325, _183327, _183329] : [_183325 = set_difference(_183329, _183327), 530 ^ _164204 : [(539 ^ _164204) ^ [_183769] : [-(in(_183769, _183325)), in(_183769, _183329), -(in(_183769, _183327))], (531 ^ _164204) ^ [_183509] : [in(_183509, _183325), 534 ^ _164204 : [(537 ^ _164204) ^ [] : [in(_183509, _183327)], (535 ^ _164204) ^ [] : [-(in(_183509, _183329))]]]]], (144 ^ _164204) ^ [_169135, _169137, _169139, _169141] : [-(unordered_pair(_169141, _169137) = unordered_pair(_169139, _169135)), _169141 = _169139, _169137 = _169135], (180 ^ _164204) ^ [_170444, _170446] : [-(set_intersection2(_170446, _170444) = set_intersection2(_170444, _170446))], (620 ^ _164204) ^ [] : [true___, -(true___)], (963 ^ _164204) ^ [_197890, _197892] : [964 ^ _164204 : [(967 ^ _164204) ^ [] : [_197892 = singleton(_197890)], (965 ^ _164204) ^ [] : [_197892 = empty_set]], -(subset(_197892, singleton(_197890)))], (570 ^ _164204) ^ [_184798, _184800] : [-(ordered_pair(_184800, _184798) = unordered_pair(unordered_pair(_184800, _184798), singleton(_184800)))], (672 ^ _164204) ^ [_187458, _187460] : [-(empty(_187460)), empty(set_union2(_187458, _187460))], (260 ^ _164204) ^ [_173218, _173220] : [-(_173218 = powerset(_173220)), 264 ^ _164204 : [(267 ^ _164204) ^ [] : [subset(261 ^ [_173218, _173220], _173220)], (265 ^ _164204) ^ [] : [-(in(261 ^ [_173218, _173220], _173218))]], 268 ^ _164204 : [(271 ^ _164204) ^ [] : [in(261 ^ [_173218, _173220], _173218)], (269 ^ _164204) ^ [] : [-(subset(261 ^ [_173218, _173220], _173220))]]], (602 ^ _164204) ^ [] : [true___, -(true___)], (132 ^ _164204) ^ [_168671, _168673] : [_168673 = _168671, -(powerset(_168673) = powerset(_168671))], (1123 ^ _164204) ^ [_203593] : [-(union(powerset(_203593)) = _203593)], (170 ^ _164204) ^ [_170048, _170050] : [proper_subset(_170050, _170048), proper_subset(_170048, _170050)], (1057 ^ _164204) ^ [_201305] : [-(unordered_pair(_201305, _201305) = singleton(_201305))], (1125 ^ _164204) ^ [_203698, _203700, _203702] : [singleton(_203702) = unordered_pair(_203700, _203698), -(_203700 = _203698)], (876 ^ _164204) ^ [_194773, _194775] : [-(_194775 = _194773), 880 ^ _164204 : [(883 ^ _164204) ^ [] : [in(877 ^ [_194773, _194775], _194773)], (881 ^ _164204) ^ [] : [-(in(877 ^ [_194773, _194775], _194775))]], 884 ^ _164204 : [(887 ^ _164204) ^ [] : [in(877 ^ [_194773, _194775], _194775)], (885 ^ _164204) ^ [] : [-(in(877 ^ [_194773, _194775], _194773))]]], (176 ^ _164204) ^ [_170244, _170246] : [-(unordered_pair(_170246, _170244) = unordered_pair(_170244, _170246))], (899 ^ _164204) ^ [_195651, _195653, _195655, _195657] : [ordered_pair(_195657, _195655) = ordered_pair(_195653, _195651), 902 ^ _164204 : [(905 ^ _164204) ^ [] : [-(_195655 = _195651)], (903 ^ _164204) ^ [] : [-(_195657 = _195653)]]], (678 ^ _164204) ^ [_187659, _187661] : [-(set_union2(_187661, _187661) = _187661)], (781 ^ _164204) ^ [] : [-(empty(779 ^ []))], (907 ^ _164204) ^ [_195949, _195951] : [-(subset(set_difference(_195951, _195949), _195951))], (178 ^ _164204) ^ [_170344, _170346] : [-(set_union2(_170346, _170344) = set_union2(_170344, _170346))], (909 ^ _164204) ^ [_196090, _196092] : [set_difference(_196092, _196090) = empty_set, -(subset(_196092, _196090))], (318 ^ _164204) ^ [_175316, _175318, _175320] : [_175316 = set_union2(_175320, _175318), 321 ^ _164204 : [(322 ^ _164204) ^ [_175498] : [in(_175498, _175316), -(in(_175498, _175320)), -(in(_175498, _175318))], (332 ^ _164204) ^ [_175776] : [333 ^ _164204 : [(336 ^ _164204) ^ [] : [in(_175776, _175318)], (334 ^ _164204) ^ [] : [in(_175776, _175320)]], -(in(_175776, _175316))]]], (722 ^ _164204) ^ [_189298, _189300] : [subset(_189300, _189298), -(set_difference(_189300, _189298) = empty_set)], (682 ^ _164204) ^ [_187852, _187854] : [proper_subset(_187854, _187854)], (915 ^ _164204) ^ [_196258, _196260] : [subset(_196260, _196258), -(set_difference(_196260, _196258) = empty_set)], (244 ^ _164204) ^ [_172697, _172699] : [_172697 = powerset(_172699), 247 ^ _164204 : [(254 ^ _164204) ^ [_173039] : [subset(_173039, _172699), -(in(_173039, _172697))], (248 ^ _164204) ^ [_172867] : [in(_172867, _172697), -(subset(_172867, _172699))]]], (1023 ^ _164204) ^ [_200136, _200138] : [1024 ^ _164204 : [(1025 ^ _164204) ^ [_200209] : [in(_200209, set_intersection2(_200138, _200136))]], disjoint(_200138, _200136)], (1077 ^ _164204) ^ [_202015, _202017] : [-(subset(_202017, set_union2(_202017, _202015)))], (891 ^ _164204) ^ [_195274] : [-(subset(empty_set, _195274))], (34 ^ _164204) ^ [_165424, _165426, _165428, _165430] : [-(disjoint(_165428, _165424)), disjoint(_165430, _165426), _165430 = _165428, _165426 = _165424], (686 ^ _164204) ^ [_188040, _188042] : [in(_188042, _188040), -(set_union2(singleton(_188042), _188040) = _188040)], (626 ^ _164204) ^ [] : [true___, -(true___)], (784 ^ _164204) ^ [] : [empty(782 ^ [])], (684 ^ _164204) ^ [_187931] : [singleton(_187931) = empty_set], (1059 ^ _164204) ^ [_201403] : [empty(_201403), -(_201403 = empty_set)], (361 ^ _164204) ^ [_176835, _176837, _176839] : [_176835 = cartesian_product2(_176839, _176837), 364 ^ _164204 : [(377 ^ _164204) ^ [_177596] : [-(in(_177596, _176835)), 378 ^ _164204 : [(379 ^ _164204) ^ [_177726, _177728] : [in(_177728, _176839), in(_177726, _176837), _177596 = ordered_pair(_177728, _177726)]]], (365 ^ _164204) ^ [_177036] : [in(_177036, _176835), 370 ^ _164204 : [(375 ^ _164204) ^ [] : [-(_177036 = ordered_pair(368 ^ [_176835, _176837, _176839, _177036], 369 ^ [_176835, _176837, _176839, _177036]))], (373 ^ _164204) ^ [] : [-(in(369 ^ [_176835, _176837, _176839, _177036], _176837))], (371 ^ _164204) ^ [] : [-(in(368 ^ [_176835, _176837, _176839, _177036], _176839))]]]]], (1016 ^ _164204) ^ [_199901, _199903] : [-(disjoint(_199903, _199901)), -(in(1019 ^ [_199901, _199903], set_intersection2(_199903, _199901)))], (680 ^ _164204) ^ [_187756, _187758] : [-(set_intersection2(_187758, _187758) = _187758)], (770 ^ _164204) ^ [_190969, _190971, _190973, _190975] : [-(in(ordered_pair(_190975, _190973), cartesian_product2(_190971, _190969))), in(_190975, _190971), in(_190973, _190969)], (1079 ^ _164204) ^ [_202156, _202158] : [disjoint(_202158, _202156), -(set_difference(_202158, _202156) = _202158)], (874 ^ _164204) ^ [_194663] : [-(set_intersection2(_194663, empty_set) = empty_set)], (2 ^ _164204) ^ [_164328] : [-(_164328 = _164328)], (666 ^ _164204) ^ [_187242, _187244] : [-(empty(_187244)), empty(set_union2(_187244, _187242))], (632 ^ _164204) ^ [] : [true___, -(true___)], (921 ^ _164204) ^ [_196505, _196507] : [subset(singleton(_196507), _196505), -(in(_196507, _196505))], (862 ^ _164204) ^ [_194248, _194250, _194252] : [subset(_194252, _194250), -(subset(set_intersection2(_194252, _194248), set_intersection2(_194250, _194248)))], (662 ^ _164204) ^ [] : [-(empty(empty_set))], (762 ^ _164204) ^ [_190704, _190706, _190708, _190710] : [in(ordered_pair(_190710, _190708), cartesian_product2(_190706, _190704)), 765 ^ _164204 : [(768 ^ _164204) ^ [] : [-(in(_190708, _190704))], (766 ^ _164204) ^ [] : [-(in(_190710, _190706))]]], (106 ^ _164204) ^ [_167763, _167765, _167767, _167769] : [-(set_difference(_167769, _167765) = set_difference(_167767, _167763)), _167769 = _167767, _167765 = _167763], (748 ^ _164204) ^ [_190139, _190141] : [749 ^ _164204 : [(752 ^ _164204) ^ [] : [_190141 = singleton(_190139)], (750 ^ _164204) ^ [] : [_190141 = empty_set]], -(subset(_190141, singleton(_190139)))], (698 ^ _164204) ^ [_188473, _188475] : [-(in(_188475, _188473)), -(disjoint(singleton(_188475), _188473))], (275 ^ _164204) ^ [_173797, _173799, _173801] : [_173797 = unordered_pair(_173801, _173799), 278 ^ _164204 : [(279 ^ _164204) ^ [_173979] : [in(_173979, _173797), -(_173979 = _173801), -(_173979 = _173799)], (289 ^ _164204) ^ [_174257] : [290 ^ _164204 : [(293 ^ _164204) ^ [] : [_174257 = _173799], (291 ^ _164204) ^ [] : [_174257 = _173801]], -(in(_174257, _173797))]]]], input).
% 44.32/43.77  ncf('1',plain,[-(subset(1132 ^ [], 1133 ^ []))],start(1137 ^ 0)).
% 44.32/43.77  ncf('1.1',plain,[subset(1132 ^ [], 1133 ^ []), 828 : -(subset(cartesian_product2(1130 ^ [], 1132 ^ []), cartesian_product2(1130 ^ [], 1133 ^ [])))],extension(822 ^ 1,bind([[_192818, _192820, _192822], [1130 ^ [], 1133 ^ [], 1132 ^ []]]))).
% 44.32/43.77  ncf('1.1.1',plain,[subset(cartesian_product2(1130 ^ [], 1132 ^ []), cartesian_product2(1130 ^ [], 1133 ^ [])), -(subset(cartesian_product2(1130 ^ [], 1132 ^ []), cartesian_product2(1131 ^ [], 1133 ^ []))), subset(cartesian_product2(1130 ^ [], 1133 ^ []), cartesian_product2(1131 ^ [], 1133 ^ []))],extension(850 ^ 4,bind([[_193872, _193874, _193876], [cartesian_product2(1131 ^ [], 1133 ^ []), cartesian_product2(1130 ^ [], 1133 ^ []), cartesian_product2(1130 ^ [], 1132 ^ [])]]))).
% 44.32/43.77  ncf('1.1.1.1',plain,[subset(cartesian_product2(1130 ^ [], 1132 ^ []), cartesian_product2(1131 ^ [], 1133 ^ []))],extension(1139 ^ 5)).
% 44.32/43.77  ncf('1.1.1.2',plain,[-(subset(cartesian_product2(1130 ^ [], 1133 ^ []), cartesian_product2(1131 ^ [], 1133 ^ []))), subset(1130 ^ [], 1131 ^ [])],extension(822 ^ 5,bind([[_192818, _192820, _192822], [1133 ^ [], 1131 ^ [], 1130 ^ []]]))).
% 44.32/43.77  ncf('1.1.1.2.1',plain,[-(subset(1130 ^ [], 1131 ^ []))],extension(1135 ^ 6)).
% 44.32/43.77  %-----------------------------------------------------
% 44.32/43.77  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------