%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU143+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 12:02:21 EDT 2023

% Result   : Theorem 5.60s 6.51s
% Output   : Proof 5.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SEU143+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.10  % Command  : nanocop.sh %s %d
% 0.11/0.31  % Computer : n013.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May 18 13:39:05 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 5.60/6.51  
% 5.60/6.51  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 5.60/6.51  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.60/6.51  %-----------------------------------------------------
% 5.60/6.51  ncf(matrix, plain, [(715 ^ _97362) ^ [] : [-(singleton(713 ^ []) = empty_set)], (86 ^ _97362) ^ [_100223, _100225, _100227, _100229] : [-(set_intersection2(_100229, _100225) = set_intersection2(_100227, _100223)), _100229 = _100227, _100225 = _100223], (96 ^ _97362) ^ [_100582, _100584, _100586, _100588] : [-(unordered_pair(_100588, _100584) = unordered_pair(_100586, _100582)), _100588 = _100586, _100584 = _100582], (106 ^ _97362) ^ [_100941, _100943, _100945, _100947] : [-(set_difference(_100947, _100943) = set_difference(_100945, _100941)), _100947 = _100945, _100943 = _100941], (126 ^ _97362) ^ [_101611, _101613] : [_101613 = _101611, -(singleton(_101613) = singleton(_101611))], (116 ^ _97362) ^ [_101300, _101302, _101304, _101306] : [-(set_union2(_101306, _101302) = set_union2(_101304, _101300)), _101306 = _101304, _101302 = _101300], (2 ^ _97362) ^ [_97506] : [-(_97506 = _97506)], (4 ^ _97362) ^ [_97613, _97615] : [_97615 = _97613, -(_97613 = _97615)], (10 ^ _97362) ^ [_97817, _97819, _97821] : [-(_97821 = _97817), _97821 = _97819, _97819 = _97817], (20 ^ _97362) ^ [_98158, _98160, _98162, _98164] : [-(proper_subset(_98162, _98158)), proper_subset(_98164, _98160), _98164 = _98162, _98160 = _98158], (34 ^ _97362) ^ [_98602, _98604, _98606, _98608] : [-(in(_98606, _98602)), in(_98608, _98604), _98608 = _98606, _98604 = _98602], (48 ^ _97362) ^ [_99046, _99048, _99050, _99052] : [-(disjoint(_99050, _99046)), disjoint(_99052, _99048), _99052 = _99050, _99048 = _99046], (62 ^ _97362) ^ [_99462, _99464] : [-(empty(_99462)), _99464 = _99462, empty(_99464)], (72 ^ _97362) ^ [_99765, _99767, _99769, _99771] : [-(subset(_99769, _99765)), subset(_99771, _99767), _99771 = _99769, _99767 = _99765], (132 ^ _97362) ^ [_101847, _101849] : [in(_101849, _101847), in(_101847, _101849)], (138 ^ _97362) ^ [_102058, _102060] : [proper_subset(_102060, _102058), proper_subset(_102058, _102060)], (144 ^ _97362) ^ [_102254, _102256] : [-(unordered_pair(_102256, _102254) = unordered_pair(_102254, _102256))], (146 ^ _97362) ^ [_102354, _102356] : [-(set_union2(_102356, _102354) = set_union2(_102354, _102356))], (148 ^ _97362) ^ [_102454, _102456] : [-(set_intersection2(_102456, _102454) = set_intersection2(_102454, _102456))], (150 ^ _97362) ^ [_102598, _102600] : [_102600 = _102598, 153 ^ _97362 : [(154 ^ _97362) ^ [] : [-(subset(_102600, _102598))], (156 ^ _97362) ^ [] : [-(subset(_102598, _102600))]]], (158 ^ _97362) ^ [_102835, _102837] : [-(_102837 = _102835), subset(_102837, _102835), subset(_102835, _102837)], (184 ^ _97362) ^ [_103686, _103688] : [-(_103686 = singleton(_103688)), 188 ^ _97362 : [(189 ^ _97362) ^ [] : [-(in(185 ^ [_103686, _103688], _103686))], (191 ^ _97362) ^ [] : [185 ^ [_103686, _103688] = _103688]], 192 ^ _97362 : [(193 ^ _97362) ^ [] : [-(185 ^ [_103686, _103688] = _103688)], (195 ^ _97362) ^ [] : [in(185 ^ [_103686, _103688], _103686)]]], (168 ^ _97362) ^ [_103165, _103167] : [_103165 = singleton(_103167), 171 ^ _97362 : [(172 ^ _97362) ^ [_103335] : [in(_103335, _103165), -(_103335 = _103167)], (178 ^ _97362) ^ [_103507] : [_103507 = _103167, -(in(_103507, _103165))]]], (199 ^ _97362) ^ [_104237] : [_104237 = empty_set, 202 ^ _97362 : [(203 ^ _97362) ^ [_104350] : [in(_104350, _104237)]]], (205 ^ _97362) ^ [_104416] : [-(in(206 ^ [_104416], _104416)), -(_104416 = empty_set)], (234 ^ _97362) ^ [_105446, _105448, _105450] : [-(_105446 = unordered_pair(_105450, _105448)), 238 ^ _97362 : [(239 ^ _97362) ^ [] : [-(in(235 ^ [_105446, _105448, _105450], _105446))], (241 ^ _97362) ^ [] : [235 ^ [_105446, _105448, _105450] = _105450], (243 ^ _97362) ^ [] : [235 ^ [_105446, _105448, _105450] = _105448]], 244 ^ _97362 : [(251 ^ _97362) ^ [] : [in(235 ^ [_105446, _105448, _105450], _105446)], (245 ^ _97362) ^ [] : [-(235 ^ [_105446, _105448, _105450] = _105450), -(235 ^ [_105446, _105448, _105450] = _105448)]]], (212 ^ _97362) ^ [_104721, _104723, _104725] : [_104721 = unordered_pair(_104725, _104723), 215 ^ _97362 : [(226 ^ _97362) ^ [_105181] : [227 ^ _97362 : [(228 ^ _97362) ^ [] : [_105181 = _104725], (230 ^ _97362) ^ [] : [_105181 = _104723]], -(in(_105181, _104721))], (216 ^ _97362) ^ [_104903] : [in(_104903, _104721), -(_104903 = _104725), -(_104903 = _104723)]]], (277 ^ _97362) ^ [_106965, _106967, _106969] : [-(_106965 = set_union2(_106969, _106967)), 281 ^ _97362 : [(282 ^ _97362) ^ [] : [-(in(278 ^ [_106965, _106967, _106969], _106965))], (284 ^ _97362) ^ [] : [in(278 ^ [_106965, _106967, _106969], _106969)], (286 ^ _97362) ^ [] : [in(278 ^ [_106965, _106967, _106969], _106967)]], 287 ^ _97362 : [(294 ^ _97362) ^ [] : [in(278 ^ [_106965, _106967, _106969], _106965)], (288 ^ _97362) ^ [] : [-(in(278 ^ [_106965, _106967, _106969], _106969)), -(in(278 ^ [_106965, _106967, _106969], _106967))]]], (255 ^ _97362) ^ [_106240, _106242, _106244] : [_106240 = set_union2(_106244, _106242), 258 ^ _97362 : [(269 ^ _97362) ^ [_106700] : [270 ^ _97362 : [(271 ^ _97362) ^ [] : [in(_106700, _106244)], (273 ^ _97362) ^ [] : [in(_106700, _106242)]], -(in(_106700, _106240))], (259 ^ _97362) ^ [_106422] : [in(_106422, _106240), -(in(_106422, _106244)), -(in(_106422, _106242))]]], (308 ^ _97362) ^ [_108059, _108061] : [310 ^ _97362 : [(311 ^ _97362) ^ [] : [-(in(309 ^ [_108059, _108061], _108061))], (313 ^ _97362) ^ [] : [in(309 ^ [_108059, _108061], _108059)]], -(subset(_108061, _108059))], (298 ^ _97362) ^ [_107745, _107747] : [subset(_107747, _107745), 301 ^ _97362 : [(302 ^ _97362) ^ [_107882] : [in(_107882, _107747), -(in(_107882, _107745))]]], (339 ^ _97362) ^ [_109184, _109186, _109188] : [-(_109184 = set_intersection2(_109188, _109186)), 351 ^ _97362 : [(352 ^ _97362) ^ [] : [-(in(340 ^ [_109184, _109186, _109188], _109188))], (354 ^ _97362) ^ [] : [-(in(340 ^ [_109184, _109186, _109188], _109186))], (356 ^ _97362) ^ [] : [in(340 ^ [_109184, _109186, _109188], _109184)]], 343 ^ _97362 : [(344 ^ _97362) ^ [] : [-(in(340 ^ [_109184, _109186, _109188], _109184))], (346 ^ _97362) ^ [] : [in(340 ^ [_109184, _109186, _109188], _109188), in(340 ^ [_109184, _109186, _109188], _109186)]]], (317 ^ _97362) ^ [_108459, _108461, _108463] : [_108459 = set_intersection2(_108463, _108461), 320 ^ _97362 : [(321 ^ _97362) ^ [_108641] : [in(_108641, _108459), 324 ^ _97362 : [(325 ^ _97362) ^ [] : [-(in(_108641, _108463))], (327 ^ _97362) ^ [] : [-(in(_108641, _108461))]]], (329 ^ _97362) ^ [_108900] : [-(in(_108900, _108459)), in(_108900, _108463), in(_108900, _108461)]]], (382 ^ _97362) ^ [_110711, _110713, _110715] : [-(_110711 = set_difference(_110715, _110713)), 394 ^ _97362 : [(395 ^ _97362) ^ [] : [-(in(383 ^ [_110711, _110713, _110715], _110715))], (397 ^ _97362) ^ [] : [in(383 ^ [_110711, _110713, _110715], _110713)], (399 ^ _97362) ^ [] : [in(383 ^ [_110711, _110713, _110715], _110711)]], 386 ^ _97362 : [(387 ^ _97362) ^ [] : [-(in(383 ^ [_110711, _110713, _110715], _110711))], (389 ^ _97362) ^ [] : [in(383 ^ [_110711, _110713, _110715], _110715), -(in(383 ^ [_110711, _110713, _110715], _110713))]]], (360 ^ _97362) ^ [_109980, _109982, _109984] : [_109980 = set_difference(_109984, _109982), 363 ^ _97362 : [(364 ^ _97362) ^ [_110164] : [in(_110164, _109980), 367 ^ _97362 : [(368 ^ _97362) ^ [] : [-(in(_110164, _109984))], (370 ^ _97362) ^ [] : [in(_110164, _109982)]]], (372 ^ _97362) ^ [_110424] : [-(in(_110424, _109980)), in(_110424, _109984), -(in(_110424, _109982))]]], (403 ^ _97362) ^ [_111497, _111499] : [disjoint(_111499, _111497), -(set_intersection2(_111499, _111497) = empty_set)], (409 ^ _97362) ^ [_111665, _111667] : [set_intersection2(_111667, _111665) = empty_set, -(disjoint(_111667, _111665))], (415 ^ _97362) ^ [_111912, _111914] : [proper_subset(_111914, _111912), 418 ^ _97362 : [(419 ^ _97362) ^ [] : [-(subset(_111914, _111912))], (421 ^ _97362) ^ [] : [_111914 = _111912]]], (423 ^ _97362) ^ [_112150, _112152] : [-(proper_subset(_112152, _112150)), subset(_112152, _112150), -(_112152 = _112150)], (433 ^ _97362) ^ [] : [true___, -(true___)], (439 ^ _97362) ^ [] : [true___, -(true___)], (445 ^ _97362) ^ [] : [true___, -(true___)], (451 ^ _97362) ^ [] : [true___, -(true___)], (457 ^ _97362) ^ [] : [true___, -(true___)], (463 ^ _97362) ^ [] : [true___, -(true___)], (469 ^ _97362) ^ [] : [-(empty(empty_set))], (471 ^ _97362) ^ [_113221, _113223] : [-(empty(_113223)), empty(set_union2(_113223, _113221))], (477 ^ _97362) ^ [_113437, _113439] : [-(empty(_113439)), empty(set_union2(_113437, _113439))], (483 ^ _97362) ^ [_113638, _113640] : [-(set_union2(_113640, _113640) = _113640)], (485 ^ _97362) ^ [_113735, _113737] : [-(set_intersection2(_113737, _113737) = _113737)], (487 ^ _97362) ^ [_113831, _113833] : [proper_subset(_113833, _113833)], (489 ^ _97362) ^ [_113969, _113971] : [set_difference(_113971, _113969) = empty_set, -(subset(_113971, _113969))], (495 ^ _97362) ^ [_114137, _114139] : [subset(_114139, _114137), -(set_difference(_114139, _114137) = empty_set)], (502 ^ _97362) ^ [] : [-(empty(500 ^ []))], (505 ^ _97362) ^ [] : [empty(503 ^ [])], (507 ^ _97362) ^ [_114519, _114521] : [-(subset(_114521, _114521))], (509 ^ _97362) ^ [_114628, _114630] : [disjoint(_114630, _114628), -(disjoint(_114628, _114630))], (515 ^ _97362) ^ [_114838, _114840] : [subset(_114840, _114838), -(set_union2(_114840, _114838) = _114838)], (521 ^ _97362) ^ [_115039, _115041] : [-(subset(set_intersection2(_115041, _115039), _115041))], (523 ^ _97362) ^ [_115165, _115167, _115169] : [-(subset(_115169, set_intersection2(_115167, _115165))), subset(_115169, _115167), subset(_115169, _115165)], (533 ^ _97362) ^ [_115451] : [-(set_union2(_115451, empty_set) = _115451)], (535 ^ _97362) ^ [_115575, _115577, _115579] : [-(subset(_115579, _115575)), subset(_115579, _115577), subset(_115577, _115575)], (545 ^ _97362) ^ [_115898, _115900, _115902] : [subset(_115902, _115900), -(subset(set_intersection2(_115902, _115898), set_intersection2(_115900, _115898)))], (551 ^ _97362) ^ [_116126, _116128] : [subset(_116128, _116126), -(set_intersection2(_116128, _116126) = _116128)], (557 ^ _97362) ^ [_116313] : [-(set_intersection2(_116313, empty_set) = empty_set)], (559 ^ _97362) ^ [_116423, _116425] : [-(_116425 = _116423), 563 ^ _97362 : [(564 ^ _97362) ^ [] : [-(in(560 ^ [_116423, _116425], _116425))], (566 ^ _97362) ^ [] : [in(560 ^ [_116423, _116425], _116423)]], 567 ^ _97362 : [(568 ^ _97362) ^ [] : [-(in(560 ^ [_116423, _116425], _116423))], (570 ^ _97362) ^ [] : [in(560 ^ [_116423, _116425], _116425)]]], (574 ^ _97362) ^ [_116924] : [-(subset(empty_set, _116924))], (576 ^ _97362) ^ [_117045, _117047, _117049] : [subset(_117049, _117047), -(subset(set_difference(_117049, _117045), set_difference(_117047, _117045)))], (582 ^ _97362) ^ [_117258, _117260] : [-(subset(set_difference(_117260, _117258), _117260))], (584 ^ _97362) ^ [_117399, _117401] : [set_difference(_117401, _117399) = empty_set, -(subset(_117401, _117399))], (590 ^ _97362) ^ [_117567, _117569] : [subset(_117569, _117567), -(set_difference(_117569, _117567) = empty_set)], (596 ^ _97362) ^ [_117770, _117772] : [-(set_union2(_117772, set_difference(_117770, _117772)) = set_union2(_117772, _117770))], (598 ^ _97362) ^ [_117859] : [-(set_difference(_117859, empty_set) = _117859)], (600 ^ _97362) ^ [_117989, _117991] : [-(disjoint(_117991, _117989)), 604 ^ _97362 : [(605 ^ _97362) ^ [] : [-(in(603 ^ [_117989, _117991], _117991))], (607 ^ _97362) ^ [] : [-(in(603 ^ [_117989, _117991], _117989))]]], (609 ^ _97362) ^ [_118303, _118305] : [disjoint(_118305, _118303), 610 ^ _97362 : [(611 ^ _97362) ^ [_118395] : [in(_118395, _118305), in(_118395, _118303)]]], (619 ^ _97362) ^ [_118652] : [subset(_118652, empty_set), -(_118652 = empty_set)], (625 ^ _97362) ^ [_118841, _118843] : [-(set_difference(set_union2(_118843, _118841), _118841) = set_difference(_118843, _118841))], (627 ^ _97362) ^ [_118959, _118961] : [subset(_118961, _118959), -(_118959 = set_union2(_118961, set_difference(_118959, _118961)))], (633 ^ _97362) ^ [_119166, _119168] : [-(set_difference(_119168, set_difference(_119168, _119166)) = set_intersection2(_119168, _119166))], (635 ^ _97362) ^ [_119255] : [-(set_difference(empty_set, _119255) = empty_set)], (637 ^ _97362) ^ [_119385, _119387] : [-(disjoint(_119387, _119385)), -(in(640 ^ [_119385, _119387], set_intersection2(_119387, _119385)))], (644 ^ _97362) ^ [_119620, _119622] : [645 ^ _97362 : [(646 ^ _97362) ^ [_119693] : [in(_119693, set_intersection2(_119622, _119620))]], disjoint(_119622, _119620)], (650 ^ _97362) ^ [_119859, _119861] : [subset(_119861, _119859), proper_subset(_119859, _119861)], (656 ^ _97362) ^ [_120082, _120084, _120086] : [-(disjoint(_120086, _120082)), subset(_120086, _120084), disjoint(_120084, _120082)], (666 ^ _97362) ^ [_120362] : [-(unordered_pair(_120362, _120362) = singleton(_120362))], (668 ^ _97362) ^ [_120460] : [empty(_120460), -(_120460 = empty_set)], (674 ^ _97362) ^ [_120662, _120664] : [in(_120664, _120662), empty(_120662)], (680 ^ _97362) ^ [_120854, _120856] : [-(subset(_120856, set_union2(_120856, _120854)))], (682 ^ _97362) ^ [_120995, _120997] : [disjoint(_120997, _120995), -(set_difference(_120997, _120995) = _120997)], (688 ^ _97362) ^ [_121163, _121165] : [set_difference(_121165, _121163) = _121165, -(disjoint(_121165, _121163))], (694 ^ _97362) ^ [_121381, _121383] : [empty(_121383), -(_121383 = _121381), empty(_121381)], (704 ^ _97362) ^ [_121672, _121674, _121676] : [-(subset(set_union2(_121676, _121672), _121674)), subset(_121676, _121674), subset(_121672, _121674)]], input).
% 5.60/6.51  ncf('1',plain,[singleton(713 ^ []) = empty_set, 203 : in(185 ^ [singleton(713 ^ []), singleton(713 ^ [])], singleton(713 ^ []))],start(199 ^ 0,bind([[_104237, _104350], [singleton(713 ^ []), 185 ^ [singleton(713 ^ []), singleton(713 ^ [])]]]))).
% 5.60/6.51  ncf('1.1',plain,[-(singleton(713 ^ []) = empty_set)],extension(715 ^ 1)).
% 5.60/6.51  ncf('1.2',plain,[-(in(185 ^ [singleton(713 ^ []), singleton(713 ^ [])], singleton(713 ^ []))), -(singleton(713 ^ []) = singleton(singleton(713 ^ []))), 193 : -(185 ^ [singleton(713 ^ []), singleton(713 ^ [])] = singleton(713 ^ []))],extension(184 ^ 3,bind([[_103686, _103688], [singleton(713 ^ []), singleton(713 ^ [])]]))).
% 5.60/6.51  ncf('1.2.1',plain,[singleton(713 ^ []) = singleton(singleton(713 ^ [])), -(singleton(singleton(713 ^ [])) = singleton(713 ^ []))],extension(4 ^ 4,bind([[_97613, _97615], [singleton(singleton(713 ^ [])), singleton(713 ^ [])]]))).
% 5.60/6.51  ncf('1.2.1.1',plain,[singleton(singleton(713 ^ [])) = singleton(713 ^ []), -(in(singleton(713 ^ []), singleton(713 ^ []))), in(singleton(singleton(713 ^ [])), singleton(713 ^ [])), singleton(713 ^ []) = singleton(713 ^ [])],extension(34 ^ 5,bind([[_98602, _98604, _98606, _98608], [singleton(713 ^ []), singleton(713 ^ []), singleton(713 ^ []), singleton(singleton(713 ^ []))]]))).
% 5.60/6.51  ncf('1.2.1.1.1',plain,[in(singleton(713 ^ []), singleton(713 ^ [])), in(singleton(713 ^ []), singleton(713 ^ []))],extension(132 ^ 6,bind([[_101847, _101849], [singleton(713 ^ []), singleton(713 ^ [])]]))).
% 5.60/6.51  ncf('1.2.1.1.1.1',plain,[-(in(singleton(713 ^ []), singleton(713 ^ [])))],reduction('1.2.1.1')).
% 5.60/6.51  ncf('1.2.1.1.2',plain,[-(in(singleton(singleton(713 ^ [])), singleton(713 ^ []))), 178 : singleton(singleton(713 ^ [])) = singleton(713 ^ []), 178 : singleton(713 ^ []) = singleton(singleton(713 ^ []))],extension(168 ^ 6,bind([[_103165, _103167, _103507], [singleton(713 ^ []), singleton(713 ^ []), singleton(singleton(713 ^ []))]]))).
% 5.60/6.51  ncf('1.2.1.1.2.1',plain,[-(singleton(singleton(713 ^ [])) = singleton(713 ^ []))],reduction('1.2.1')).
% 5.60/6.51  ncf('1.2.1.1.2.2',plain,[-(singleton(713 ^ []) = singleton(singleton(713 ^ [])))],reduction('1.2')).
% 5.60/6.51  ncf('1.2.1.1.3',plain,[-(singleton(713 ^ []) = singleton(713 ^ []))],extension(2 ^ 6,bind([[_97506], [singleton(713 ^ [])]]))).
% 5.60/6.51  ncf('1.2.2',plain,[185 ^ [singleton(713 ^ []), singleton(713 ^ [])] = singleton(713 ^ []), 178 : 713 ^ [] = 713 ^ [], 178 : -(in(713 ^ [], 185 ^ [singleton(713 ^ []), singleton(713 ^ [])]))],extension(168 ^ 6,bind([[_103165, _103167, _103507], [185 ^ [singleton(713 ^ []), singleton(713 ^ [])], 713 ^ [], 713 ^ []]]))).
% 5.60/6.51  ncf('1.2.2.1',plain,[-(713 ^ [] = 713 ^ [])],extension(2 ^ 9,bind([[_97506], [713 ^ []]]))).
% 5.60/6.51  ncf('1.2.2.2',plain,[in(713 ^ [], 185 ^ [singleton(713 ^ []), singleton(713 ^ [])]), 185 ^ [singleton(713 ^ []), singleton(713 ^ [])] = empty_set],extension(199 ^ 9,bind([[_104237, _104350], [185 ^ [singleton(713 ^ []), singleton(713 ^ [])], 713 ^ []]]))).
% 5.60/6.51  ncf('1.2.2.2.1',plain,[-(185 ^ [singleton(713 ^ []), singleton(713 ^ [])] = empty_set), 185 ^ [singleton(713 ^ []), singleton(713 ^ [])] = singleton(713 ^ []), singleton(713 ^ []) = empty_set],extension(10 ^ 10,bind([[_97817, _97819, _97821], [empty_set, singleton(713 ^ []), 185 ^ [singleton(713 ^ []), singleton(713 ^ [])]]]))).
% 5.60/6.51  ncf('1.2.2.2.1.1',plain,[-(185 ^ [singleton(713 ^ []), singleton(713 ^ [])] = singleton(713 ^ []))],reduction('1.2')).
% 5.60/6.51  ncf('1.2.2.2.1.2',plain,[-(singleton(713 ^ []) = empty_set)],lemmata('x')).
% 5.60/6.51  %-----------------------------------------------------
% 5.60/6.51  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------