%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU154+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:02:24 EDT 2023

% Result   : Theorem 7.86s 8.61s
% Output   : Proof 7.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SEU154+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 13:40:18 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 7.86/8.61  
% 7.86/8.61  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 7.86/8.61  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.86/8.61  %-----------------------------------------------------
% 7.86/8.61  ncf(matrix, plain, [(843 ^ _117945) ^ [] : [in(840 ^ [], 841 ^ [])], (845 ^ _117945) ^ [] : [disjoint(singleton(840 ^ []), 841 ^ [])], (86 ^ _117945) ^ [_120778, _120780] : [_120780 = _120778, -(powerset(_120780) = powerset(_120778))], (92 ^ _117945) ^ [_121024, _121026, _121028, _121030] : [-(set_intersection2(_121030, _121026) = set_intersection2(_121028, _121024)), _121030 = _121028, _121026 = _121024], (102 ^ _117945) ^ [_121383, _121385, _121387, _121389] : [-(set_difference(_121389, _121385) = set_difference(_121387, _121383)), _121389 = _121387, _121385 = _121383], (112 ^ _117945) ^ [_121742, _121744, _121746, _121748] : [-(set_union2(_121748, _121744) = set_union2(_121746, _121742)), _121748 = _121746, _121744 = _121742], (132 ^ _117945) ^ [_122412, _122414] : [_122414 = _122412, -(singleton(_122414) = singleton(_122412))], (122 ^ _117945) ^ [_122101, _122103, _122105, _122107] : [-(unordered_pair(_122107, _122103) = unordered_pair(_122105, _122101)), _122107 = _122105, _122103 = _122101], (2 ^ _117945) ^ [_118089] : [-(_118089 = _118089)], (4 ^ _117945) ^ [_118196, _118198] : [_118198 = _118196, -(_118196 = _118198)], (10 ^ _117945) ^ [_118400, _118402, _118404] : [-(_118404 = _118400), _118404 = _118402, _118402 = _118400], (20 ^ _117945) ^ [_118741, _118743, _118745, _118747] : [-(proper_subset(_118745, _118741)), proper_subset(_118747, _118743), _118747 = _118745, _118743 = _118741], (34 ^ _117945) ^ [_119157, _119159] : [-(empty(_119157)), _119159 = _119157, empty(_119159)], (44 ^ _117945) ^ [_119480, _119482, _119484, _119486] : [-(subset(_119484, _119480)), subset(_119486, _119482), _119486 = _119484, _119482 = _119480], (58 ^ _117945) ^ [_119924, _119926, _119928, _119930] : [-(in(_119928, _119924)), in(_119930, _119926), _119930 = _119928, _119926 = _119924], (72 ^ _117945) ^ [_120348, _120350, _120352, _120354] : [-(disjoint(_120352, _120348)), disjoint(_120354, _120350), _120354 = _120352, _120350 = _120348], (138 ^ _117945) ^ [_122652, _122654] : [in(_122654, _122652), in(_122652, _122654)], (144 ^ _117945) ^ [_122863, _122865] : [proper_subset(_122865, _122863), proper_subset(_122863, _122865)], (150 ^ _117945) ^ [_123059, _123061] : [-(unordered_pair(_123061, _123059) = unordered_pair(_123059, _123061))], (152 ^ _117945) ^ [_123159, _123161] : [-(set_union2(_123161, _123159) = set_union2(_123159, _123161))], (154 ^ _117945) ^ [_123259, _123261] : [-(set_intersection2(_123261, _123259) = set_intersection2(_123259, _123261))], (156 ^ _117945) ^ [_123403, _123405] : [_123405 = _123403, 159 ^ _117945 : [(160 ^ _117945) ^ [] : [-(subset(_123405, _123403))], (162 ^ _117945) ^ [] : [-(subset(_123403, _123405))]]], (164 ^ _117945) ^ [_123640, _123642] : [-(_123642 = _123640), subset(_123642, _123640), subset(_123640, _123642)], (190 ^ _117945) ^ [_124491, _124493] : [-(_124491 = singleton(_124493)), 194 ^ _117945 : [(195 ^ _117945) ^ [] : [-(in(191 ^ [_124491, _124493], _124491))], (197 ^ _117945) ^ [] : [191 ^ [_124491, _124493] = _124493]], 198 ^ _117945 : [(199 ^ _117945) ^ [] : [-(191 ^ [_124491, _124493] = _124493)], (201 ^ _117945) ^ [] : [in(191 ^ [_124491, _124493], _124491)]]], (174 ^ _117945) ^ [_123970, _123972] : [_123970 = singleton(_123972), 177 ^ _117945 : [(178 ^ _117945) ^ [_124140] : [in(_124140, _123970), -(_124140 = _123972)], (184 ^ _117945) ^ [_124312] : [_124312 = _123972, -(in(_124312, _123970))]]], (205 ^ _117945) ^ [_125042] : [_125042 = empty_set, 208 ^ _117945 : [(209 ^ _117945) ^ [_125155] : [in(_125155, _125042)]]], (211 ^ _117945) ^ [_125221] : [-(in(212 ^ [_125221], _125221)), -(_125221 = empty_set)], (234 ^ _117945) ^ [_126033, _126035] : [-(_126033 = powerset(_126035)), 238 ^ _117945 : [(239 ^ _117945) ^ [] : [-(in(235 ^ [_126033, _126035], _126033))], (241 ^ _117945) ^ [] : [subset(235 ^ [_126033, _126035], _126035)]], 242 ^ _117945 : [(243 ^ _117945) ^ [] : [-(subset(235 ^ [_126033, _126035], _126035))], (245 ^ _117945) ^ [] : [in(235 ^ [_126033, _126035], _126033)]]], (218 ^ _117945) ^ [_125512, _125514] : [_125512 = powerset(_125514), 221 ^ _117945 : [(222 ^ _117945) ^ [_125682] : [in(_125682, _125512), -(subset(_125682, _125514))], (228 ^ _117945) ^ [_125854] : [subset(_125854, _125514), -(in(_125854, _125512))]]], (271 ^ _117945) ^ [_127337, _127339, _127341] : [-(_127337 = unordered_pair(_127341, _127339)), 275 ^ _117945 : [(276 ^ _117945) ^ [] : [-(in(272 ^ [_127337, _127339, _127341], _127337))], (278 ^ _117945) ^ [] : [272 ^ [_127337, _127339, _127341] = _127341], (280 ^ _117945) ^ [] : [272 ^ [_127337, _127339, _127341] = _127339]], 281 ^ _117945 : [(288 ^ _117945) ^ [] : [in(272 ^ [_127337, _127339, _127341], _127337)], (282 ^ _117945) ^ [] : [-(272 ^ [_127337, _127339, _127341] = _127341), -(272 ^ [_127337, _127339, _127341] = _127339)]]], (249 ^ _117945) ^ [_126612, _126614, _126616] : [_126612 = unordered_pair(_126616, _126614), 252 ^ _117945 : [(263 ^ _117945) ^ [_127072] : [264 ^ _117945 : [(265 ^ _117945) ^ [] : [_127072 = _126616], (267 ^ _117945) ^ [] : [_127072 = _126614]], -(in(_127072, _126612))], (253 ^ _117945) ^ [_126794] : [in(_126794, _126612), -(_126794 = _126616), -(_126794 = _126614)]]], (314 ^ _117945) ^ [_128856, _128858, _128860] : [-(_128856 = set_union2(_128860, _128858)), 318 ^ _117945 : [(319 ^ _117945) ^ [] : [-(in(315 ^ [_128856, _128858, _128860], _128856))], (321 ^ _117945) ^ [] : [in(315 ^ [_128856, _128858, _128860], _128860)], (323 ^ _117945) ^ [] : [in(315 ^ [_128856, _128858, _128860], _128858)]], 324 ^ _117945 : [(331 ^ _117945) ^ [] : [in(315 ^ [_128856, _128858, _128860], _128856)], (325 ^ _117945) ^ [] : [-(in(315 ^ [_128856, _128858, _128860], _128860)), -(in(315 ^ [_128856, _128858, _128860], _128858))]]], (292 ^ _117945) ^ [_128131, _128133, _128135] : [_128131 = set_union2(_128135, _128133), 295 ^ _117945 : [(306 ^ _117945) ^ [_128591] : [307 ^ _117945 : [(308 ^ _117945) ^ [] : [in(_128591, _128135)], (310 ^ _117945) ^ [] : [in(_128591, _128133)]], -(in(_128591, _128131))], (296 ^ _117945) ^ [_128313] : [in(_128313, _128131), -(in(_128313, _128135)), -(in(_128313, _128133))]]], (345 ^ _117945) ^ [_129950, _129952] : [347 ^ _117945 : [(348 ^ _117945) ^ [] : [-(in(346 ^ [_129950, _129952], _129952))], (350 ^ _117945) ^ [] : [in(346 ^ [_129950, _129952], _129950)]], -(subset(_129952, _129950))], (335 ^ _117945) ^ [_129636, _129638] : [subset(_129638, _129636), 338 ^ _117945 : [(339 ^ _117945) ^ [_129773] : [in(_129773, _129638), -(in(_129773, _129636))]]], (376 ^ _117945) ^ [_131075, _131077, _131079] : [-(_131075 = set_intersection2(_131079, _131077)), 388 ^ _117945 : [(389 ^ _117945) ^ [] : [-(in(377 ^ [_131075, _131077, _131079], _131079))], (391 ^ _117945) ^ [] : [-(in(377 ^ [_131075, _131077, _131079], _131077))], (393 ^ _117945) ^ [] : [in(377 ^ [_131075, _131077, _131079], _131075)]], 380 ^ _117945 : [(381 ^ _117945) ^ [] : [-(in(377 ^ [_131075, _131077, _131079], _131075))], (383 ^ _117945) ^ [] : [in(377 ^ [_131075, _131077, _131079], _131079), in(377 ^ [_131075, _131077, _131079], _131077)]]], (354 ^ _117945) ^ [_130350, _130352, _130354] : [_130350 = set_intersection2(_130354, _130352), 357 ^ _117945 : [(358 ^ _117945) ^ [_130532] : [in(_130532, _130350), 361 ^ _117945 : [(362 ^ _117945) ^ [] : [-(in(_130532, _130354))], (364 ^ _117945) ^ [] : [-(in(_130532, _130352))]]], (366 ^ _117945) ^ [_130791] : [-(in(_130791, _130350)), in(_130791, _130354), in(_130791, _130352)]]], (419 ^ _117945) ^ [_132602, _132604, _132606] : [-(_132602 = set_difference(_132606, _132604)), 431 ^ _117945 : [(432 ^ _117945) ^ [] : [-(in(420 ^ [_132602, _132604, _132606], _132606))], (434 ^ _117945) ^ [] : [in(420 ^ [_132602, _132604, _132606], _132604)], (436 ^ _117945) ^ [] : [in(420 ^ [_132602, _132604, _132606], _132602)]], 423 ^ _117945 : [(424 ^ _117945) ^ [] : [-(in(420 ^ [_132602, _132604, _132606], _132602))], (426 ^ _117945) ^ [] : [in(420 ^ [_132602, _132604, _132606], _132606), -(in(420 ^ [_132602, _132604, _132606], _132604))]]], (397 ^ _117945) ^ [_131871, _131873, _131875] : [_131871 = set_difference(_131875, _131873), 400 ^ _117945 : [(401 ^ _117945) ^ [_132055] : [in(_132055, _131871), 404 ^ _117945 : [(405 ^ _117945) ^ [] : [-(in(_132055, _131875))], (407 ^ _117945) ^ [] : [in(_132055, _131873)]]], (409 ^ _117945) ^ [_132315] : [-(in(_132315, _131871)), in(_132315, _131875), -(in(_132315, _131873))]]], (440 ^ _117945) ^ [_133388, _133390] : [disjoint(_133390, _133388), -(set_intersection2(_133390, _133388) = empty_set)], (446 ^ _117945) ^ [_133556, _133558] : [set_intersection2(_133558, _133556) = empty_set, -(disjoint(_133558, _133556))], (452 ^ _117945) ^ [_133803, _133805] : [proper_subset(_133805, _133803), 455 ^ _117945 : [(456 ^ _117945) ^ [] : [-(subset(_133805, _133803))], (458 ^ _117945) ^ [] : [_133805 = _133803]]], (460 ^ _117945) ^ [_134041, _134043] : [-(proper_subset(_134043, _134041)), subset(_134043, _134041), -(_134043 = _134041)], (470 ^ _117945) ^ [] : [true___, -(true___)], (476 ^ _117945) ^ [] : [true___, -(true___)], (482 ^ _117945) ^ [] : [true___, -(true___)], (488 ^ _117945) ^ [] : [true___, -(true___)], (494 ^ _117945) ^ [] : [true___, -(true___)], (500 ^ _117945) ^ [] : [true___, -(true___)], (506 ^ _117945) ^ [] : [true___, -(true___)], (512 ^ _117945) ^ [] : [-(empty(empty_set))], (514 ^ _117945) ^ [_135231, _135233] : [-(empty(_135233)), empty(set_union2(_135233, _135231))], (520 ^ _117945) ^ [_135447, _135449] : [-(empty(_135449)), empty(set_union2(_135447, _135449))], (526 ^ _117945) ^ [_135648, _135650] : [-(set_union2(_135650, _135650) = _135650)], (528 ^ _117945) ^ [_135745, _135747] : [-(set_intersection2(_135747, _135747) = _135747)], (530 ^ _117945) ^ [_135841, _135843] : [proper_subset(_135843, _135843)], (532 ^ _117945) ^ [_135920] : [singleton(_135920) = empty_set], (534 ^ _117945) ^ [_136029, _136031] : [in(_136031, _136029), -(set_union2(singleton(_136031), _136029) = _136029)], (540 ^ _117945) ^ [_136249, _136251] : [disjoint(singleton(_136251), _136249), in(_136251, _136249)], (546 ^ _117945) ^ [_136491, _136493] : [subset(singleton(_136493), _136491), -(in(_136493, _136491))], (552 ^ _117945) ^ [_136657, _136659] : [in(_136659, _136657), -(subset(singleton(_136659), _136657))], (558 ^ _117945) ^ [_136902, _136904] : [set_difference(_136904, _136902) = empty_set, -(subset(_136904, _136902))], (564 ^ _117945) ^ [_137070, _137072] : [subset(_137072, _137070), -(set_difference(_137072, _137070) = empty_set)], (570 ^ _117945) ^ [_137302, _137304, _137306] : [subset(_137306, _137304), -(in(_137302, _137306)), -(subset(_137306, set_difference(_137304, singleton(_137302))))], (590 ^ _117945) ^ [_137911, _137913] : [591 ^ _117945 : [(592 ^ _117945) ^ [] : [_137913 = empty_set], (594 ^ _117945) ^ [] : [_137913 = singleton(_137911)]], -(subset(_137913, singleton(_137911)))], (580 ^ _117945) ^ [_137651, _137653] : [subset(_137653, singleton(_137651)), -(_137653 = empty_set), -(_137653 = singleton(_137651))], (599 ^ _117945) ^ [] : [-(empty(597 ^ []))], (602 ^ _117945) ^ [] : [empty(600 ^ [])], (604 ^ _117945) ^ [_138369, _138371] : [-(subset(_138371, _138371))], (606 ^ _117945) ^ [_138478, _138480] : [disjoint(_138480, _138478), -(disjoint(_138478, _138480))], (612 ^ _117945) ^ [_138716, _138718, _138720, _138722] : [unordered_pair(_138722, _138720) = unordered_pair(_138718, _138716), -(_138722 = _138718), -(_138722 = _138716)], (622 ^ _117945) ^ [_139052, _139054] : [subset(_139054, _139052), -(set_union2(_139054, _139052) = _139052)], (628 ^ _117945) ^ [_139253, _139255] : [-(subset(set_intersection2(_139255, _139253), _139255))], (630 ^ _117945) ^ [_139379, _139381, _139383] : [-(subset(_139383, set_intersection2(_139381, _139379))), subset(_139383, _139381), subset(_139383, _139379)], (640 ^ _117945) ^ [_139665] : [-(set_union2(_139665, empty_set) = _139665)], (642 ^ _117945) ^ [_139789, _139791, _139793] : [-(subset(_139793, _139789)), subset(_139793, _139791), subset(_139791, _139789)], (652 ^ _117945) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (654 ^ _117945) ^ [_140165, _140167, _140169] : [subset(_140169, _140167), -(subset(set_intersection2(_140169, _140165), set_intersection2(_140167, _140165)))], (660 ^ _117945) ^ [_140393, _140395] : [subset(_140395, _140393), -(set_intersection2(_140395, _140393) = _140395)], (666 ^ _117945) ^ [_140580] : [-(set_intersection2(_140580, empty_set) = empty_set)], (668 ^ _117945) ^ [_140690, _140692] : [-(_140692 = _140690), 672 ^ _117945 : [(673 ^ _117945) ^ [] : [-(in(669 ^ [_140690, _140692], _140692))], (675 ^ _117945) ^ [] : [in(669 ^ [_140690, _140692], _140690)]], 676 ^ _117945 : [(677 ^ _117945) ^ [] : [-(in(669 ^ [_140690, _140692], _140690))], (679 ^ _117945) ^ [] : [in(669 ^ [_140690, _140692], _140692)]]], (683 ^ _117945) ^ [_141191] : [-(subset(empty_set, _141191))], (685 ^ _117945) ^ [_141312, _141314, _141316] : [subset(_141316, _141314), -(subset(set_difference(_141316, _141312), set_difference(_141314, _141312)))], (691 ^ _117945) ^ [_141525, _141527] : [-(subset(set_difference(_141527, _141525), _141527))], (693 ^ _117945) ^ [_141666, _141668] : [set_difference(_141668, _141666) = empty_set, -(subset(_141668, _141666))], (699 ^ _117945) ^ [_141834, _141836] : [subset(_141836, _141834), -(set_difference(_141836, _141834) = empty_set)], (705 ^ _117945) ^ [_142037, _142039] : [-(set_union2(_142039, set_difference(_142037, _142039)) = set_union2(_142039, _142037))], (707 ^ _117945) ^ [_142126] : [-(set_difference(_142126, empty_set) = _142126)], (709 ^ _117945) ^ [_142256, _142258] : [-(disjoint(_142258, _142256)), 713 ^ _117945 : [(714 ^ _117945) ^ [] : [-(in(712 ^ [_142256, _142258], _142258))], (716 ^ _117945) ^ [] : [-(in(712 ^ [_142256, _142258], _142256))]]], (718 ^ _117945) ^ [_142570, _142572] : [disjoint(_142572, _142570), 719 ^ _117945 : [(720 ^ _117945) ^ [_142662] : [in(_142662, _142572), in(_142662, _142570)]]], (728 ^ _117945) ^ [_142919] : [subset(_142919, empty_set), -(_142919 = empty_set)], (734 ^ _117945) ^ [_143108, _143110] : [-(set_difference(set_union2(_143110, _143108), _143108) = set_difference(_143110, _143108))], (736 ^ _117945) ^ [_143226, _143228] : [subset(_143228, _143226), -(_143226 = set_union2(_143228, set_difference(_143226, _143228)))], (742 ^ _117945) ^ [_143433, _143435] : [-(set_difference(_143435, set_difference(_143435, _143433)) = set_intersection2(_143435, _143433))], (744 ^ _117945) ^ [_143522] : [-(set_difference(empty_set, _143522) = empty_set)], (746 ^ _117945) ^ [_143652, _143654] : [-(disjoint(_143654, _143652)), -(in(749 ^ [_143652, _143654], set_intersection2(_143654, _143652)))], (753 ^ _117945) ^ [_143887, _143889] : [754 ^ _117945 : [(755 ^ _117945) ^ [_143960] : [in(_143960, set_intersection2(_143889, _143887))]], disjoint(_143889, _143887)], (759 ^ _117945) ^ [_144126, _144128] : [subset(_144128, _144126), proper_subset(_144126, _144128)], (765 ^ _117945) ^ [_144349, _144351, _144353] : [-(disjoint(_144353, _144349)), subset(_144353, _144351), disjoint(_144351, _144349)], (775 ^ _117945) ^ [_144629] : [-(unordered_pair(_144629, _144629) = singleton(_144629))], (777 ^ _117945) ^ [_144727] : [empty(_144727), -(_144727 = empty_set)], (783 ^ _117945) ^ [_144929, _144931] : [subset(singleton(_144931), singleton(_144929)), -(_144931 = _144929)], (789 ^ _117945) ^ [_145147, _145149] : [in(_145149, _145147), empty(_145147)], (795 ^ _117945) ^ [_145339, _145341] : [-(subset(_145341, set_union2(_145341, _145339)))], (797 ^ _117945) ^ [_145480, _145482] : [disjoint(_145482, _145480), -(set_difference(_145482, _145480) = _145482)], (803 ^ _117945) ^ [_145648, _145650] : [set_difference(_145650, _145648) = _145650, -(disjoint(_145650, _145648))], (809 ^ _117945) ^ [_145866, _145868] : [empty(_145868), -(_145868 = _145866), empty(_145866)], (819 ^ _117945) ^ [_146177, _146179, _146181] : [-(subset(set_union2(_146181, _146177), _146179)), subset(_146181, _146179), subset(_146177, _146179)], (829 ^ _117945) ^ [_146506, _146508, _146510] : [singleton(_146510) = unordered_pair(_146508, _146506), -(_146510 = _146508)], (835 ^ _117945) ^ [_146726, _146728, _146730] : [singleton(_146730) = unordered_pair(_146728, _146726), -(_146728 = _146726)]], input).
% 7.86/8.61  ncf('1',plain,[in(840 ^ [], 841 ^ [])],start(843 ^ 0)).
% 7.86/8.61  ncf('1.1',plain,[-(in(840 ^ [], 841 ^ [])), 339 : in(840 ^ [], singleton(840 ^ [])), 339 : subset(singleton(840 ^ []), 841 ^ [])],extension(335 ^ 1,bind([[_129636, _129638, _129773], [841 ^ [], singleton(840 ^ []), 840 ^ []]]))).
% 7.86/8.61  ncf('1.1.1',plain,[-(in(840 ^ [], singleton(840 ^ []))), in(712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ [])), 712 ^ [841 ^ [], singleton(840 ^ [])] = 840 ^ [], singleton(840 ^ []) = singleton(840 ^ [])],extension(58 ^ 4,bind([[_119924, _119926, _119928, _119930], [singleton(840 ^ []), singleton(840 ^ []), 840 ^ [], 712 ^ [841 ^ [], singleton(840 ^ [])]]]))).
% 7.86/8.61  ncf('1.1.1.1',plain,[-(in(712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ []))), in(712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ [])), 712 ^ [841 ^ [], singleton(840 ^ [])] = 712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ []) = singleton(840 ^ [])],extension(58 ^ 5,bind([[_119924, _119926, _119928, _119930], [singleton(840 ^ []), singleton(840 ^ []), 712 ^ [841 ^ [], singleton(840 ^ [])], 712 ^ [841 ^ [], singleton(840 ^ [])]]]))).
% 7.86/8.61  ncf('1.1.1.1.1',plain,[-(in(712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ []))), -(disjoint(singleton(840 ^ []), 841 ^ []))],extension(709 ^ 6,bind([[_142256, _142258], [841 ^ [], singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.1.1.1.1',plain,[disjoint(singleton(840 ^ []), 841 ^ [])],extension(845 ^ 7)).
% 7.86/8.61  ncf('1.1.1.1.2',plain,[-(712 ^ [841 ^ [], singleton(840 ^ [])] = 712 ^ [841 ^ [], singleton(840 ^ [])])],extension(2 ^ 6,bind([[_118089], [712 ^ [841 ^ [], singleton(840 ^ [])]]]))).
% 7.86/8.61  ncf('1.1.1.1.3',plain,[-(singleton(840 ^ []) = singleton(840 ^ []))],extension(2 ^ 6,bind([[_118089], [singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.1.2',plain,[-(712 ^ [841 ^ [], singleton(840 ^ [])] = 840 ^ []), 178 : in(712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ [])), 178 : singleton(840 ^ []) = singleton(840 ^ [])],extension(174 ^ 5,bind([[_123970, _123972, _124140], [singleton(840 ^ []), 840 ^ [], 712 ^ [841 ^ [], singleton(840 ^ [])]]]))).
% 7.86/8.61  ncf('1.1.1.2.1',plain,[-(in(712 ^ [841 ^ [], singleton(840 ^ [])], singleton(840 ^ []))), -(disjoint(singleton(840 ^ []), 841 ^ []))],extension(709 ^ 8,bind([[_142256, _142258], [841 ^ [], singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.1.2.1.1',plain,[disjoint(singleton(840 ^ []), 841 ^ [])],extension(845 ^ 9)).
% 7.86/8.61  ncf('1.1.1.2.2',plain,[-(singleton(840 ^ []) = singleton(840 ^ []))],extension(2 ^ 6,bind([[_118089], [singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.1.3',plain,[-(singleton(840 ^ []) = singleton(840 ^ [])), 840 ^ [] = 840 ^ []],extension(132 ^ 5,bind([[_122412, _122414], [840 ^ [], 840 ^ []]]))).
% 7.86/8.61  ncf('1.1.1.3.1',plain,[-(840 ^ [] = 840 ^ [])],extension(2 ^ 6,bind([[_118089], [840 ^ []]]))).
% 7.86/8.61  ncf('1.1.2',plain,[-(subset(singleton(840 ^ []), 841 ^ [])), set_difference(singleton(840 ^ []), 841 ^ []) = empty_set],extension(558 ^ 2,bind([[_136902, _136904], [841 ^ [], singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.2.1',plain,[-(set_difference(singleton(840 ^ []), 841 ^ []) = empty_set), subset(set_difference(singleton(840 ^ []), 841 ^ []), singleton(840 ^ [])), -(set_difference(singleton(840 ^ []), 841 ^ []) = singleton(840 ^ []))],extension(580 ^ 3,bind([[_137651, _137653], [840 ^ [], set_difference(singleton(840 ^ []), 841 ^ [])]]))).
% 7.86/8.61  ncf('1.1.2.1.1',plain,[-(subset(set_difference(singleton(840 ^ []), 841 ^ []), singleton(840 ^ [])))],extension(691 ^ 4,bind([[_141525, _141527], [841 ^ [], singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.2.1.2',plain,[set_difference(singleton(840 ^ []), 841 ^ []) = singleton(840 ^ []), -(disjoint(singleton(840 ^ []), 841 ^ []))],extension(803 ^ 4,bind([[_145648, _145650], [841 ^ [], singleton(840 ^ [])]]))).
% 7.86/8.61  ncf('1.1.2.1.2.1',plain,[disjoint(singleton(840 ^ []), 841 ^ [])],extension(845 ^ 5)).
% 7.86/8.61  %-----------------------------------------------------
% 7.86/8.61  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------