%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU150+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 12:02:23 EDT 2023

% Result   : Theorem 84.21s 82.00s
% Output   : Proof 84.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU150+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 13:34:03 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 84.21/82.00  
% 84.21/82.00  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 84.21/82.00  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.21/82.00  %-----------------------------------------------------
% 84.21/82.00  ncf(matrix, plain, [(818 ^ _147408) ^ [] : [813 ^ [] = 814 ^ []], (816 ^ _147408) ^ [] : [-(singleton(812 ^ []) = unordered_pair(813 ^ [], 814 ^ []))], !, (190 ^ _119009) ^ [_125535, _125537] : [-(_125535 = singleton(_125537)), 194 ^ _119009 : [(197 ^ _119009) ^ [] : [191 ^ [_125535, _125537] = _125537], (195 ^ _119009) ^ [] : [-(in(191 ^ [_125535, _125537], _125535))]], 198 ^ _119009 : [(201 ^ _119009) ^ [] : [in(191 ^ [_125535, _125537], _125535)], (199 ^ _119009) ^ [] : [-(191 ^ [_125535, _125537] = _125537)]]], (72 ^ _119009) ^ [_121392, _121394, _121396, _121398] : [-(subset(_121396, _121392)), subset(_121398, _121394), _121398 = _121396, _121394 = _121392], (671 ^ _119009) ^ [_141913, _141915] : [set_difference(_141915, _141913) = empty_set, -(subset(_141915, _141913))], (753 ^ _119009) ^ [_144876] : [-(unordered_pair(_144876, _144876) = singleton(_144876))], (512 ^ _119009) ^ [] : [-(empty(empty_set))], (761 ^ _119009) ^ [_145176, _145178] : [subset(singleton(_145178), singleton(_145176)), -(_145178 = _145176)], (138 ^ _119009) ^ [_123696, _123698] : [in(_123698, _123696), in(_123696, _123698)], (685 ^ _119009) ^ [_142373] : [-(set_difference(_142373, empty_set) = _142373)], (558 ^ _119009) ^ [_137913, _137915, _137917] : [subset(_137917, _137915), -(in(_137913, _137917)), -(subset(_137917, set_difference(_137915, singleton(_137913))))], (218 ^ _119009) ^ [_126556, _126558] : [_126556 = powerset(_126558), 221 ^ _119009 : [(228 ^ _119009) ^ [_126898] : [subset(_126898, _126558), -(in(_126898, _126556))], (222 ^ _119009) ^ [_126726] : [in(_126726, _126556), -(subset(_126726, _126558))]]], (528 ^ _119009) ^ [_136789, _136791] : [-(set_intersection2(_136791, _136791) = _136791)], (122 ^ _119009) ^ [_123117, _123119] : [_123119 = _123117, -(singleton(_123119) = singleton(_123117))], (724 ^ _119009) ^ [_143899, _143901] : [-(disjoint(_143901, _143899)), -(in(727 ^ [_143899, _143901], set_intersection2(_143901, _143899)))], (807 ^ _119009) ^ [_146733, _146735, _146737] : [singleton(_146737) = unordered_pair(_146735, _146733), -(_146737 = _146735)], (10 ^ _119009) ^ [_119444, _119446, _119448] : [-(_119448 = _119444), _119448 = _119446, _119446 = _119444], (144 ^ _119009) ^ [_123907, _123909] : [proper_subset(_123909, _123907), proper_subset(_123907, _123909)], (419 ^ _119009) ^ [_133646, _133648, _133650] : [-(_133646 = set_difference(_133650, _133648)), 431 ^ _119009 : [(436 ^ _119009) ^ [] : [in(420 ^ [_133646, _133648, _133650], _133646)], (434 ^ _119009) ^ [] : [in(420 ^ [_133646, _133648, _133650], _133648)], (432 ^ _119009) ^ [] : [-(in(420 ^ [_133646, _133648, _133650], _133650))]], 423 ^ _119009 : [(426 ^ _119009) ^ [] : [in(420 ^ [_133646, _133648, _133650], _133650), -(in(420 ^ [_133646, _133648, _133650], _133648))], (424 ^ _119009) ^ [] : [-(in(420 ^ [_133646, _133648, _133650], _133646))]]], (755 ^ _119009) ^ [_144974] : [empty(_144974), -(_144974 = empty_set)], (661 ^ _119009) ^ [_141438] : [-(subset(empty_set, _141438))], (86 ^ _119009) ^ [_121822, _121824] : [_121824 = _121822, -(powerset(_121824) = powerset(_121822))], (34 ^ _119009) ^ [_120229, _120231, _120233, _120235] : [-(in(_120233, _120229)), in(_120235, _120231), _120235 = _120233, _120231 = _120229], (128 ^ _119009) ^ [_123343, _123345, _123347, _123349] : [-(unordered_pair(_123349, _123345) = unordered_pair(_123347, _123343)), _123349 = _123347, _123345 = _123343], (618 ^ _119009) ^ [_139912] : [-(set_union2(_139912, empty_set) = _139912)], (154 ^ _119009) ^ [_124303, _124305] : [-(set_intersection2(_124305, _124303) = set_intersection2(_124303, _124305))], (440 ^ _119009) ^ [_134432, _134434] : [disjoint(_134434, _134432), -(set_intersection2(_134434, _134432) = empty_set)], (211 ^ _119009) ^ [_126265] : [-(in(212 ^ [_126265], _126265)), -(_126265 = empty_set)], (514 ^ _119009) ^ [_136275, _136277] : [-(empty(_136277)), empty(set_union2(_136277, _136275))], (482 ^ _119009) ^ [] : [true___, -(true___)], (722 ^ _119009) ^ [_143769] : [-(set_difference(empty_set, _143769) = empty_set)], (62 ^ _119009) ^ [_121089, _121091] : [-(empty(_121089)), _121091 = _121089, empty(_121091)], (646 ^ _119009) ^ [_140937, _140939] : [-(_140939 = _140937), 650 ^ _119009 : [(653 ^ _119009) ^ [] : [in(647 ^ [_140937, _140939], _140937)], (651 ^ _119009) ^ [] : [-(in(647 ^ [_140937, _140939], _140939))]], 654 ^ _119009 : [(657 ^ _119009) ^ [] : [in(647 ^ [_140937, _140939], _140939)], (655 ^ _119009) ^ [] : [-(in(647 ^ [_140937, _140939], _140937))]]], (2 ^ _119009) ^ [_119133] : [-(_119133 = _119133)], (249 ^ _119009) ^ [_127656, _127658, _127660] : [_127656 = unordered_pair(_127660, _127658), 252 ^ _119009 : [(253 ^ _119009) ^ [_127838] : [in(_127838, _127656), -(_127838 = _127660), -(_127838 = _127658)], (263 ^ _119009) ^ [_128116] : [264 ^ _119009 : [(267 ^ _119009) ^ [] : [_128116 = _127658], (265 ^ _119009) ^ [] : [_128116 = _127660]], -(in(_128116, _127656))]]], (205 ^ _119009) ^ [_126086] : [_126086 = empty_set, 208 ^ _119009 : [(209 ^ _119009) ^ [_126199] : [in(_126199, _126086)]]], (587 ^ _119009) ^ [] : [-(empty(585 ^ []))], (20 ^ _119009) ^ [_119785, _119787, _119789, _119791] : [-(proper_subset(_119789, _119785)), proper_subset(_119791, _119787), _119791 = _119789, _119787 = _119785], (376 ^ _119009) ^ [_132119, _132121, _132123] : [-(_132119 = set_intersection2(_132123, _132121)), 388 ^ _119009 : [(393 ^ _119009) ^ [] : [in(377 ^ [_132119, _132121, _132123], _132119)], (391 ^ _119009) ^ [] : [-(in(377 ^ [_132119, _132121, _132123], _132121))], (389 ^ _119009) ^ [] : [-(in(377 ^ [_132119, _132121, _132123], _132123))]], 380 ^ _119009 : [(383 ^ _119009) ^ [] : [in(377 ^ [_132119, _132121, _132123], _132123), in(377 ^ [_132119, _132121, _132123], _132121)], (381 ^ _119009) ^ [] : [-(in(377 ^ [_132119, _132121, _132123], _132119))]]], (606 ^ _119009) ^ [_139500, _139502] : [-(subset(set_intersection2(_139502, _139500), _139502))], (112 ^ _119009) ^ [_122786, _122788, _122790, _122792] : [-(set_union2(_122792, _122788) = set_union2(_122790, _122786)), _122792 = _122790, _122788 = _122786], (164 ^ _119009) ^ [_124684, _124686] : [-(_124686 = _124684), subset(_124686, _124684), subset(_124684, _124686)], (150 ^ _119009) ^ [_124103, _124105] : [-(unordered_pair(_124105, _124103) = unordered_pair(_124103, _124105))], (446 ^ _119009) ^ [_134600, _134602] : [set_intersection2(_134602, _134600) = empty_set, -(disjoint(_134602, _134600))], (630 ^ _119009) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (767 ^ _119009) ^ [_145394, _145396] : [in(_145396, _145394), empty(_145394)], (663 ^ _119009) ^ [_141559, _141561, _141563] : [subset(_141563, _141561), -(subset(set_difference(_141563, _141559), set_difference(_141561, _141559)))], (687 ^ _119009) ^ [_142503, _142505] : [-(disjoint(_142505, _142503)), 691 ^ _119009 : [(694 ^ _119009) ^ [] : [-(in(690 ^ [_142503, _142505], _142503))], (692 ^ _119009) ^ [] : [-(in(690 ^ [_142503, _142505], _142505))]]], (683 ^ _119009) ^ [_142284, _142286] : [-(set_union2(_142286, set_difference(_142284, _142286)) = set_union2(_142286, _142284))], (677 ^ _119009) ^ [_142081, _142083] : [subset(_142083, _142081), -(set_difference(_142083, _142081) = empty_set)], (592 ^ _119009) ^ [_138980, _138982] : [-(subset(_138982, _138982))], (552 ^ _119009) ^ [_137681, _137683] : [subset(_137683, _137681), -(set_difference(_137683, _137681) = empty_set)], (714 ^ _119009) ^ [_143473, _143475] : [subset(_143475, _143473), -(_143473 = set_union2(_143475, set_difference(_143473, _143475)))], (712 ^ _119009) ^ [_143355, _143357] : [-(set_difference(set_union2(_143357, _143355), _143355) = set_difference(_143357, _143355))], (534 ^ _119009) ^ [_137102, _137104] : [subset(singleton(_137104), _137102), -(in(_137104, _137102))], (590 ^ _119009) ^ [] : [empty(588 ^ [])], (669 ^ _119009) ^ [_141772, _141774] : [-(subset(set_difference(_141774, _141772), _141774))], (506 ^ _119009) ^ [] : [true___, -(true___)], (594 ^ _119009) ^ [_139089, _139091] : [disjoint(_139091, _139089), -(disjoint(_139089, _139091))], (271 ^ _119009) ^ [_128381, _128383, _128385] : [-(_128381 = unordered_pair(_128385, _128383)), 275 ^ _119009 : [(280 ^ _119009) ^ [] : [272 ^ [_128381, _128383, _128385] = _128383], (278 ^ _119009) ^ [] : [272 ^ [_128381, _128383, _128385] = _128385], (276 ^ _119009) ^ [] : [-(in(272 ^ [_128381, _128383, _128385], _128381))]], 281 ^ _119009 : [(282 ^ _119009) ^ [] : [-(272 ^ [_128381, _128383, _128385] = _128385), -(272 ^ [_128381, _128383, _128385] = _128383)], (288 ^ _119009) ^ [] : [in(272 ^ [_128381, _128383, _128385], _128381)]]], (540 ^ _119009) ^ [_137268, _137270] : [in(_137270, _137268), -(subset(singleton(_137270), _137268))], (292 ^ _119009) ^ [_129175, _129177, _129179] : [_129175 = set_union2(_129179, _129177), 295 ^ _119009 : [(296 ^ _119009) ^ [_129357] : [in(_129357, _129175), -(in(_129357, _129179)), -(in(_129357, _129177))], (306 ^ _119009) ^ [_129635] : [307 ^ _119009 : [(310 ^ _119009) ^ [] : [in(_129635, _129177)], (308 ^ _119009) ^ [] : [in(_129635, _129179)]], -(in(_129635, _129175))]]], (775 ^ _119009) ^ [_145727, _145729] : [disjoint(_145729, _145727), -(set_difference(_145729, _145727) = _145729)], (743 ^ _119009) ^ [_144596, _144598, _144600] : [-(disjoint(_144600, _144596)), subset(_144600, _144598), disjoint(_144598, _144596)], (500 ^ _119009) ^ [] : [true___, -(true___)], (773 ^ _119009) ^ [_145586, _145588] : [-(subset(_145588, set_union2(_145588, _145586)))], (696 ^ _119009) ^ [_142817, _142819] : [disjoint(_142819, _142817), 697 ^ _119009 : [(698 ^ _119009) ^ [_142909] : [in(_142909, _142819), in(_142909, _142817)]]], (706 ^ _119009) ^ [_143166] : [subset(_143166, empty_set), -(_143166 = empty_set)], (644 ^ _119009) ^ [_140827] : [-(set_intersection2(_140827, empty_set) = empty_set)], (92 ^ _119009) ^ [_122068, _122070, _122072, _122074] : [-(set_intersection2(_122074, _122070) = set_intersection2(_122072, _122068)), _122074 = _122072, _122070 = _122068], (600 ^ _119009) ^ [_139299, _139301] : [subset(_139301, _139299), -(set_union2(_139301, _139299) = _139299)], (174 ^ _119009) ^ [_125014, _125016] : [_125014 = singleton(_125016), 177 ^ _119009 : [(184 ^ _119009) ^ [_125356] : [_125356 = _125016, -(in(_125356, _125014))], (178 ^ _119009) ^ [_125184] : [in(_125184, _125014), -(_125184 = _125016)]]], (737 ^ _119009) ^ [_144373, _144375] : [subset(_144375, _144373), proper_subset(_144373, _144375)], (520 ^ _119009) ^ [_136491, _136493] : [-(empty(_136493)), empty(set_union2(_136491, _136493))], (797 ^ _119009) ^ [_146424, _146426, _146428] : [-(subset(set_union2(_146428, _146424), _146426)), subset(_146428, _146426), subset(_146424, _146426)], (335 ^ _119009) ^ [_130680, _130682] : [subset(_130682, _130680), 338 ^ _119009 : [(339 ^ _119009) ^ [_130817] : [in(_130817, _130682), -(in(_130817, _130680))]]], (156 ^ _119009) ^ [_124447, _124449] : [_124449 = _124447, 159 ^ _119009 : [(162 ^ _119009) ^ [] : [-(subset(_124447, _124449))], (160 ^ _119009) ^ [] : [-(subset(_124449, _124447))]]], (452 ^ _119009) ^ [_134847, _134849] : [proper_subset(_134849, _134847), 455 ^ _119009 : [(458 ^ _119009) ^ [] : [_134849 = _134847], (456 ^ _119009) ^ [] : [-(subset(_134849, _134847))]]], (48 ^ _119009) ^ [_120673, _120675, _120677, _120679] : [-(disjoint(_120677, _120673)), disjoint(_120679, _120675), _120679 = _120677, _120675 = _120673], (4 ^ _119009) ^ [_119240, _119242] : [_119242 = _119240, -(_119240 = _119242)], (720 ^ _119009) ^ [_143680, _143682] : [-(set_difference(_143682, set_difference(_143682, _143680)) = set_intersection2(_143682, _143680))], (731 ^ _119009) ^ [_144134, _144136] : [732 ^ _119009 : [(733 ^ _119009) ^ [_144207] : [in(_144207, set_intersection2(_144136, _144134))]], disjoint(_144136, _144134)], (354 ^ _119009) ^ [_131394, _131396, _131398] : [_131394 = set_intersection2(_131398, _131396), 357 ^ _119009 : [(366 ^ _119009) ^ [_131835] : [-(in(_131835, _131394)), in(_131835, _131398), in(_131835, _131396)], (358 ^ _119009) ^ [_131576] : [in(_131576, _131394), 361 ^ _119009 : [(364 ^ _119009) ^ [] : [-(in(_131576, _131396))], (362 ^ _119009) ^ [] : [-(in(_131576, _131398))]]]]], (102 ^ _119009) ^ [_122427, _122429, _122431, _122433] : [-(set_difference(_122433, _122429) = set_difference(_122431, _122427)), _122433 = _122431, _122429 = _122427], (530 ^ _119009) ^ [_136885, _136887] : [proper_subset(_136887, _136887)], (152 ^ _119009) ^ [_124203, _124205] : [-(set_union2(_124205, _124203) = set_union2(_124203, _124205))], (632 ^ _119009) ^ [_140412, _140414, _140416] : [subset(_140416, _140414), -(subset(set_intersection2(_140416, _140412), set_intersection2(_140414, _140412)))], (638 ^ _119009) ^ [_140640, _140642] : [subset(_140642, _140640), -(set_intersection2(_140642, _140640) = _140642)], (781 ^ _119009) ^ [_145895, _145897] : [set_difference(_145897, _145895) = _145897, -(disjoint(_145897, _145895))], (314 ^ _119009) ^ [_129900, _129902, _129904] : [-(_129900 = set_union2(_129904, _129902)), 318 ^ _119009 : [(323 ^ _119009) ^ [] : [in(315 ^ [_129900, _129902, _129904], _129902)], (321 ^ _119009) ^ [] : [in(315 ^ [_129900, _129902, _129904], _129904)], (319 ^ _119009) ^ [] : [-(in(315 ^ [_129900, _129902, _129904], _129900))]], 324 ^ _119009 : [(325 ^ _119009) ^ [] : [-(in(315 ^ [_129900, _129902, _129904], _129904)), -(in(315 ^ [_129900, _129902, _129904], _129902))], (331 ^ _119009) ^ [] : [in(315 ^ [_129900, _129902, _129904], _129900)]]], (608 ^ _119009) ^ [_139626, _139628, _139630] : [-(subset(_139630, set_intersection2(_139628, _139626))), subset(_139630, _139628), subset(_139630, _139626)], (460 ^ _119009) ^ [_135085, _135087] : [-(proper_subset(_135087, _135085)), subset(_135087, _135085), -(_135087 = _135085)], (787 ^ _119009) ^ [_146113, _146115] : [empty(_146115), -(_146115 = _146113), empty(_146113)], (568 ^ _119009) ^ [_138262, _138264] : [subset(_138264, singleton(_138262)), -(_138264 = empty_set), -(_138264 = singleton(_138262))], (578 ^ _119009) ^ [_138522, _138524] : [579 ^ _119009 : [(582 ^ _119009) ^ [] : [_138524 = singleton(_138522)], (580 ^ _119009) ^ [] : [_138524 = empty_set]], -(subset(_138524, singleton(_138522)))], (620 ^ _119009) ^ [_140036, _140038, _140040] : [-(subset(_140040, _140036)), subset(_140040, _140038), subset(_140038, _140036)], (532 ^ _119009) ^ [_136964] : [singleton(_136964) = empty_set], (488 ^ _119009) ^ [] : [true___, -(true___)], (234 ^ _119009) ^ [_127077, _127079] : [-(_127077 = powerset(_127079)), 238 ^ _119009 : [(241 ^ _119009) ^ [] : [subset(235 ^ [_127077, _127079], _127079)], (239 ^ _119009) ^ [] : [-(in(235 ^ [_127077, _127079], _127077))]], 242 ^ _119009 : [(245 ^ _119009) ^ [] : [in(235 ^ [_127077, _127079], _127077)], (243 ^ _119009) ^ [] : [-(subset(235 ^ [_127077, _127079], _127079))]]], (345 ^ _119009) ^ [_130994, _130996] : [347 ^ _119009 : [(350 ^ _119009) ^ [] : [in(346 ^ [_130994, _130996], _130994)], (348 ^ _119009) ^ [] : [-(in(346 ^ [_130994, _130996], _130996))]], -(subset(_130996, _130994))], (494 ^ _119009) ^ [] : [true___, -(true___)], (476 ^ _119009) ^ [] : [true___, -(true___)], (546 ^ _119009) ^ [_137513, _137515] : [set_difference(_137515, _137513) = empty_set, -(subset(_137515, _137513))], (470 ^ _119009) ^ [] : [true___, -(true___)], (397 ^ _119009) ^ [_132915, _132917, _132919] : [_132915 = set_difference(_132919, _132917), 400 ^ _119009 : [(409 ^ _119009) ^ [_133359] : [-(in(_133359, _132915)), in(_133359, _132919), -(in(_133359, _132917))], (401 ^ _119009) ^ [_133099] : [in(_133099, _132915), 404 ^ _119009 : [(407 ^ _119009) ^ [] : [in(_133099, _132917)], (405 ^ _119009) ^ [] : [-(in(_133099, _132919))]]]]], (526 ^ _119009) ^ [_136692, _136694] : [-(set_union2(_136694, _136694) = _136694)]], input).
% 84.21/82.00  ncf('1',plain,[813 ^ [] = 814 ^ []],start(818 ^ 0)).
% 84.21/82.00  ncf('1.1',plain,[-(813 ^ [] = 814 ^ []), 814 ^ [] = 813 ^ []],extension(4 ^ 1,bind([[_119240, _119242], [813 ^ [], 814 ^ []]]))).
% 84.21/82.00  ncf('1.1.1',plain,[-(814 ^ [] = 813 ^ []), 178 : in(814 ^ [], singleton(812 ^ [])), 178 : singleton(812 ^ []) = singleton(813 ^ [])],extension(174 ^ 2,bind([[_125014, _125016, _125184], [singleton(812 ^ []), 813 ^ [], 814 ^ []]]))).
% 84.21/82.00  ncf('1.1.1.1',plain,[-(in(814 ^ [], singleton(812 ^ []))), 267 : 814 ^ [] = 814 ^ [], 263 : singleton(812 ^ []) = unordered_pair(813 ^ [], 814 ^ [])],extension(249 ^ 5,bind([[_127656, _127658, _127660, _128116], [singleton(812 ^ []), 814 ^ [], 813 ^ [], 814 ^ []]]))).
% 84.21/82.00  ncf('1.1.1.1.1',plain,[-(814 ^ [] = 814 ^ []), subset(singleton(814 ^ []), singleton(814 ^ []))],extension(761 ^ 10,bind([[_145176, _145178], [814 ^ [], 814 ^ []]]))).
% 84.21/82.00  ncf('1.1.1.1.1.1',plain,[-(subset(singleton(814 ^ []), singleton(814 ^ [])))],extension(592 ^ 11,bind([[_138980, _138982], [_90836, singleton(814 ^ [])]]))).
% 84.21/82.00  ncf('1.1.1.1.2',plain,[-(singleton(812 ^ []) = unordered_pair(813 ^ [], 814 ^ []))],extension(816 ^ 6)).
% 84.21/82.00  ncf('1.1.1.2',plain,[-(singleton(812 ^ []) = singleton(813 ^ [])), 812 ^ [] = 813 ^ []],extension(122 ^ 3,bind([[_123117, _123119], [813 ^ [], 812 ^ []]]))).
% 84.21/82.00  ncf('1.1.1.2.1',plain,[-(812 ^ [] = 813 ^ []), singleton(812 ^ []) = unordered_pair(813 ^ [], 814 ^ [])],extension(807 ^ 4,bind([[_146733, _146735, _146737], [814 ^ [], 813 ^ [], 812 ^ []]]))).
% 84.21/82.00  ncf('1.1.1.2.1.1',plain,[-(singleton(812 ^ []) = unordered_pair(813 ^ [], 814 ^ []))],extension(816 ^ 5)).
% 84.21/82.00  %-----------------------------------------------------
% 84.21/82.00  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------