%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU144+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 214.03s 206.62s
% Output   : Proof 214.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU144+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 13:12:15 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 214.03/206.62  
% 214.03/206.62  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 214.03/206.62  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 214.03/206.62  %-----------------------------------------------------
% 214.03/206.62  ncf(matrix, plain, [(718 ^ _138391) ^ [] : [719 ^ _138391 : [(722 ^ _138391) ^ [] : [in(715 ^ [], 716 ^ [])], (720 ^ _138391) ^ [] : [-(subset(singleton(715 ^ []), 716 ^ []))]], 723 ^ _138391 : [(726 ^ _138391) ^ [] : [subset(singleton(715 ^ []), 716 ^ [])], (724 ^ _138391) ^ [] : [-(in(715 ^ [], 716 ^ []))]]], !, (150 ^ _113378) ^ [_118594, _118596] : [_118596 = _118594, 153 ^ _113378 : [(156 ^ _113378) ^ [] : [-(subset(_118594, _118596))], (154 ^ _113378) ^ [] : [-(subset(_118596, _118594))]]], (168 ^ _113378) ^ [_119161, _119163] : [_119161 = singleton(_119163), 171 ^ _113378 : [(178 ^ _113378) ^ [_119503] : [_119503 = _119163, -(in(_119503, _119161))], (172 ^ _113378) ^ [_119331] : [in(_119331, _119161), -(_119331 = _119163)]]], (670 ^ _113378) ^ [_136535] : [empty(_136535), -(_136535 = empty_set)], (138 ^ _113378) ^ [_118054, _118056] : [proper_subset(_118056, _118054), proper_subset(_118054, _118056)], (600 ^ _113378) ^ [_133934] : [-(set_difference(_133934, empty_set) = _133934)], (525 ^ _113378) ^ [_131240, _131242, _131244] : [-(subset(_131244, set_intersection2(_131242, _131240))), subset(_131244, _131242), subset(_131244, _131240)], (106 ^ _113378) ^ [_116937, _116939, _116941, _116943] : [-(set_difference(_116943, _116939) = set_difference(_116941, _116937)), _116943 = _116941, _116939 = _116937], (403 ^ _113378) ^ [_127493, _127495] : [disjoint(_127495, _127493), -(set_intersection2(_127495, _127493) = empty_set)], (559 ^ _113378) ^ [_132388] : [-(set_intersection2(_132388, empty_set) = empty_set)], (126 ^ _113378) ^ [_117607, _117609] : [_117609 = _117607, -(singleton(_117609) = singleton(_117607))], (696 ^ _113378) ^ [_137456, _137458] : [empty(_137458), -(_137458 = _137456), empty(_137456)], (561 ^ _113378) ^ [_132498, _132500] : [-(_132500 = _132498), 565 ^ _113378 : [(568 ^ _113378) ^ [] : [in(562 ^ [_132498, _132500], _132498)], (566 ^ _113378) ^ [] : [-(in(562 ^ [_132498, _132500], _132500))]], 569 ^ _113378 : [(572 ^ _113378) ^ [] : [in(562 ^ [_132498, _132500], _132500)], (570 ^ _113378) ^ [] : [-(in(562 ^ [_132498, _132500], _132498))]]], (439 ^ _113378) ^ [] : [true___, -(true___)], (602 ^ _113378) ^ [_134064, _134066] : [-(disjoint(_134066, _134064)), 606 ^ _113378 : [(609 ^ _113378) ^ [] : [-(in(605 ^ [_134064, _134066], _134064))], (607 ^ _113378) ^ [] : [-(in(605 ^ [_134064, _134066], _134066))]]], (621 ^ _113378) ^ [_134727] : [subset(_134727, empty_set), -(_134727 = empty_set)], (684 ^ _113378) ^ [_137070, _137072] : [disjoint(_137072, _137070), -(set_difference(_137072, _137070) = _137072)], (86 ^ _113378) ^ [_116219, _116221, _116223, _116225] : [-(set_intersection2(_116225, _116221) = set_intersection2(_116223, _116219)), _116225 = _116223, _116221 = _116219], (255 ^ _113378) ^ [_122236, _122238, _122240] : [_122236 = set_union2(_122240, _122238), 258 ^ _113378 : [(259 ^ _113378) ^ [_122418] : [in(_122418, _122236), -(in(_122418, _122240)), -(in(_122418, _122238))], (269 ^ _113378) ^ [_122696] : [270 ^ _113378 : [(273 ^ _113378) ^ [] : [in(_122696, _122238)], (271 ^ _113378) ^ [] : [in(_122696, _122240)]], -(in(_122696, _122236))]]], (517 ^ _113378) ^ [_130913, _130915] : [subset(_130915, _130913), -(set_union2(_130915, _130913) = _130913)], (58 ^ _113378) ^ [_115337, _115339, _115341, _115343] : [-(subset(_115341, _115337)), subset(_115343, _115339), _115343 = _115341, _115339 = _115337], (10 ^ _113378) ^ [_113813, _113815, _113817] : [-(_113817 = _113813), _113817 = _113815, _113815 = _113813], (477 ^ _113378) ^ [_129433, _129435] : [-(empty(_129435)), empty(set_union2(_129433, _129435))], (317 ^ _113378) ^ [_124455, _124457, _124459] : [_124455 = set_intersection2(_124459, _124457), 320 ^ _113378 : [(329 ^ _113378) ^ [_124896] : [-(in(_124896, _124455)), in(_124896, _124459), in(_124896, _124457)], (321 ^ _113378) ^ [_124637] : [in(_124637, _124455), 324 ^ _113378 : [(327 ^ _113378) ^ [] : [-(in(_124637, _124457))], (325 ^ _113378) ^ [] : [-(in(_124637, _124459))]]]]], (48 ^ _113378) ^ [_115014, _115016] : [-(empty(_115014)), _115016 = _115014, empty(_115016)], (706 ^ _113378) ^ [_137747, _137749, _137751] : [-(subset(set_union2(_137751, _137747), _137749)), subset(_137751, _137749), subset(_137747, _137749)], (491 ^ _113378) ^ [_130044, _130046] : [set_difference(_130046, _130044) = empty_set, -(subset(_130046, _130044))], (463 ^ _113378) ^ [] : [true___, -(true___)], (433 ^ _113378) ^ [] : [true___, -(true___)], (586 ^ _113378) ^ [_133474, _133476] : [set_difference(_133476, _133474) = empty_set, -(subset(_133476, _133474))], (72 ^ _113378) ^ [_115761, _115763, _115765, _115767] : [-(in(_115765, _115761)), in(_115767, _115763), _115767 = _115765, _115763 = _115761], (487 ^ _113378) ^ [_129827, _129829] : [proper_subset(_129829, _129829)], (507 ^ _113378) ^ [] : [empty(505 ^ [])], (592 ^ _113378) ^ [_133642, _133644] : [subset(_133644, _133642), -(set_difference(_133644, _133642) = empty_set)], (652 ^ _113378) ^ [_135934, _135936] : [subset(_135936, _135934), proper_subset(_135934, _135936)], (635 ^ _113378) ^ [_135241, _135243] : [-(set_difference(_135243, set_difference(_135243, _135241)) = set_intersection2(_135243, _135241))], (584 ^ _113378) ^ [_133333, _133335] : [-(subset(set_difference(_133335, _133333), _133335))], (2 ^ _113378) ^ [_113502] : [-(_113502 = _113502)], (132 ^ _113378) ^ [_117843, _117845] : [in(_117845, _117843), in(_117843, _117845)], (576 ^ _113378) ^ [_132999] : [-(subset(empty_set, _132999))], (682 ^ _113378) ^ [_136929, _136931] : [-(subset(_136931, set_union2(_136931, _136929)))], (646 ^ _113378) ^ [_135695, _135697] : [647 ^ _113378 : [(648 ^ _113378) ^ [_135768] : [in(_135768, set_intersection2(_135697, _135695))]], disjoint(_135697, _135695)], (4 ^ _113378) ^ [_113609, _113611] : [_113611 = _113609, -(_113609 = _113611)], (360 ^ _113378) ^ [_125976, _125978, _125980] : [_125976 = set_difference(_125980, _125978), 363 ^ _113378 : [(372 ^ _113378) ^ [_126420] : [-(in(_126420, _125976)), in(_126420, _125980), -(in(_126420, _125978))], (364 ^ _113378) ^ [_126160] : [in(_126160, _125976), 367 ^ _113378 : [(370 ^ _113378) ^ [] : [in(_126160, _125978)], (368 ^ _113378) ^ [] : [-(in(_126160, _125980))]]]]], (205 ^ _113378) ^ [_120412] : [-(in(206 ^ [_120412], _120412)), -(_120412 = empty_set)], (629 ^ _113378) ^ [_135034, _135036] : [subset(_135036, _135034), -(_135034 = set_union2(_135036, set_difference(_135034, _135036)))], (598 ^ _113378) ^ [_133845, _133847] : [-(set_union2(_133847, set_difference(_133845, _133847)) = set_union2(_133847, _133845))], (96 ^ _113378) ^ [_116578, _116580, _116582, _116584] : [-(unordered_pair(_116584, _116580) = unordered_pair(_116582, _116578)), _116584 = _116582, _116580 = _116578], (34 ^ _113378) ^ [_114598, _114600, _114602, _114604] : [-(disjoint(_114602, _114598)), disjoint(_114604, _114600), _114604 = _114602, _114600 = _114598], (184 ^ _113378) ^ [_119682, _119684] : [-(_119682 = singleton(_119684)), 188 ^ _113378 : [(191 ^ _113378) ^ [] : [185 ^ [_119682, _119684] = _119684], (189 ^ _113378) ^ [] : [-(in(185 ^ [_119682, _119684], _119682))]], 192 ^ _113378 : [(195 ^ _113378) ^ [] : [in(185 ^ [_119682, _119684], _119682)], (193 ^ _113378) ^ [] : [-(185 ^ [_119682, _119684] = _119684)]]], (423 ^ _113378) ^ [_128146, _128148] : [-(proper_subset(_128148, _128146)), subset(_128148, _128146), -(_128148 = _128146)], (504 ^ _113378) ^ [] : [-(empty(502 ^ []))], (690 ^ _113378) ^ [_137238, _137240] : [set_difference(_137240, _137238) = _137240, -(disjoint(_137240, _137238))], (415 ^ _113378) ^ [_127908, _127910] : [proper_subset(_127910, _127908), 418 ^ _113378 : [(421 ^ _113378) ^ [] : [_127910 = _127908], (419 ^ _113378) ^ [] : [-(subset(_127910, _127908))]]], (212 ^ _113378) ^ [_120717, _120719, _120721] : [_120717 = unordered_pair(_120721, _120719), 215 ^ _113378 : [(216 ^ _113378) ^ [_120899] : [in(_120899, _120717), -(_120899 = _120721), -(_120899 = _120719)], (226 ^ _113378) ^ [_121177] : [227 ^ _113378 : [(230 ^ _113378) ^ [] : [_121177 = _120719], (228 ^ _113378) ^ [] : [_121177 = _120721]], -(in(_121177, _120717))]]], (639 ^ _113378) ^ [_135460, _135462] : [-(disjoint(_135462, _135460)), -(in(642 ^ [_135460, _135462], set_intersection2(_135462, _135460)))], (547 ^ _113378) ^ [_131973, _131975, _131977] : [subset(_131977, _131975), -(subset(set_intersection2(_131977, _131973), set_intersection2(_131975, _131973)))], (658 ^ _113378) ^ [_136157, _136159, _136161] : [-(disjoint(_136161, _136157)), subset(_136161, _136159), disjoint(_136159, _136157)], (637 ^ _113378) ^ [_135330] : [-(set_difference(empty_set, _135330) = empty_set)], (485 ^ _113378) ^ [_129731, _129733] : [-(set_intersection2(_129733, _129733) = _129733)], (553 ^ _113378) ^ [_132201, _132203] : [subset(_132203, _132201), -(set_intersection2(_132203, _132201) = _132203)], (382 ^ _113378) ^ [_126707, _126709, _126711] : [-(_126707 = set_difference(_126711, _126709)), 394 ^ _113378 : [(399 ^ _113378) ^ [] : [in(383 ^ [_126707, _126709, _126711], _126707)], (397 ^ _113378) ^ [] : [in(383 ^ [_126707, _126709, _126711], _126709)], (395 ^ _113378) ^ [] : [-(in(383 ^ [_126707, _126709, _126711], _126711))]], 386 ^ _113378 : [(389 ^ _113378) ^ [] : [in(383 ^ [_126707, _126709, _126711], _126711), -(in(383 ^ [_126707, _126709, _126711], _126709))], (387 ^ _113378) ^ [] : [-(in(383 ^ [_126707, _126709, _126711], _126707))]]], (537 ^ _113378) ^ [_131650, _131652, _131654] : [-(subset(_131654, _131650)), subset(_131654, _131652), subset(_131652, _131650)], (339 ^ _113378) ^ [_125180, _125182, _125184] : [-(_125180 = set_intersection2(_125184, _125182)), 351 ^ _113378 : [(356 ^ _113378) ^ [] : [in(340 ^ [_125180, _125182, _125184], _125180)], (354 ^ _113378) ^ [] : [-(in(340 ^ [_125180, _125182, _125184], _125182))], (352 ^ _113378) ^ [] : [-(in(340 ^ [_125180, _125182, _125184], _125184))]], 343 ^ _113378 : [(346 ^ _113378) ^ [] : [in(340 ^ [_125180, _125182, _125184], _125184), in(340 ^ [_125180, _125182, _125184], _125182)], (344 ^ _113378) ^ [] : [-(in(340 ^ [_125180, _125182, _125184], _125180))]]], (409 ^ _113378) ^ [_127661, _127663] : [set_intersection2(_127663, _127661) = empty_set, -(disjoint(_127663, _127661))], (158 ^ _113378) ^ [_118831, _118833] : [-(_118833 = _118831), subset(_118833, _118831), subset(_118831, _118833)], (148 ^ _113378) ^ [_118450, _118452] : [-(set_intersection2(_118452, _118450) = set_intersection2(_118450, _118452))], (471 ^ _113378) ^ [_129217, _129219] : [-(empty(_129219)), empty(set_union2(_129219, _129217))], (298 ^ _113378) ^ [_123741, _123743] : [subset(_123743, _123741), 301 ^ _113378 : [(302 ^ _113378) ^ [_123878] : [in(_123878, _123743), -(in(_123878, _123741))]]], (489 ^ _113378) ^ [_129906] : [singleton(_129906) = empty_set], (509 ^ _113378) ^ [_130594, _130596] : [-(subset(_130596, _130596))], (676 ^ _113378) ^ [_136737, _136739] : [in(_136739, _136737), empty(_136737)], (627 ^ _113378) ^ [_134916, _134918] : [-(set_difference(set_union2(_134918, _134916), _134916) = set_difference(_134918, _134916))], (578 ^ _113378) ^ [_133120, _133122, _133124] : [subset(_133124, _133122), -(subset(set_difference(_133124, _133120), set_difference(_133122, _133120)))], (457 ^ _113378) ^ [] : [true___, -(true___)], (116 ^ _113378) ^ [_117296, _117298, _117300, _117302] : [-(set_union2(_117302, _117298) = set_union2(_117300, _117296)), _117302 = _117300, _117298 = _117296], (469 ^ _113378) ^ [] : [-(empty(empty_set))], (451 ^ _113378) ^ [] : [true___, -(true___)], (611 ^ _113378) ^ [_134378, _134380] : [disjoint(_134380, _134378), 612 ^ _113378 : [(613 ^ _113378) ^ [_134470] : [in(_134470, _134380), in(_134470, _134378)]]], (146 ^ _113378) ^ [_118350, _118352] : [-(set_union2(_118352, _118350) = set_union2(_118350, _118352))], (483 ^ _113378) ^ [_129634, _129636] : [-(set_union2(_129636, _129636) = _129636)], (668 ^ _113378) ^ [_136437] : [-(unordered_pair(_136437, _136437) = singleton(_136437))], (20 ^ _113378) ^ [_114154, _114156, _114158, _114160] : [-(proper_subset(_114158, _114154)), proper_subset(_114160, _114156), _114160 = _114158, _114156 = _114154], (445 ^ _113378) ^ [] : [true___, -(true___)], (144 ^ _113378) ^ [_118250, _118252] : [-(unordered_pair(_118252, _118250) = unordered_pair(_118250, _118252))], (497 ^ _113378) ^ [_130212, _130214] : [subset(_130214, _130212), -(set_difference(_130214, _130212) = empty_set)], (199 ^ _113378) ^ [_120233] : [_120233 = empty_set, 202 ^ _113378 : [(203 ^ _113378) ^ [_120346] : [in(_120346, _120233)]]], (234 ^ _113378) ^ [_121442, _121444, _121446] : [-(_121442 = unordered_pair(_121446, _121444)), 238 ^ _113378 : [(243 ^ _113378) ^ [] : [235 ^ [_121442, _121444, _121446] = _121444], (241 ^ _113378) ^ [] : [235 ^ [_121442, _121444, _121446] = _121446], (239 ^ _113378) ^ [] : [-(in(235 ^ [_121442, _121444, _121446], _121442))]], 244 ^ _113378 : [(245 ^ _113378) ^ [] : [-(235 ^ [_121442, _121444, _121446] = _121446), -(235 ^ [_121442, _121444, _121446] = _121444)], (251 ^ _113378) ^ [] : [in(235 ^ [_121442, _121444, _121446], _121442)]]], (308 ^ _113378) ^ [_124055, _124057] : [310 ^ _113378 : [(313 ^ _113378) ^ [] : [in(309 ^ [_124055, _124057], _124055)], (311 ^ _113378) ^ [] : [-(in(309 ^ [_124055, _124057], _124057))]], -(subset(_124057, _124055))], (511 ^ _113378) ^ [_130703, _130705] : [disjoint(_130705, _130703), -(disjoint(_130703, _130705))], (523 ^ _113378) ^ [_131114, _131116] : [-(subset(set_intersection2(_131116, _131114), _131116))], (277 ^ _113378) ^ [_122961, _122963, _122965] : [-(_122961 = set_union2(_122965, _122963)), 281 ^ _113378 : [(286 ^ _113378) ^ [] : [in(278 ^ [_122961, _122963, _122965], _122963)], (284 ^ _113378) ^ [] : [in(278 ^ [_122961, _122963, _122965], _122965)], (282 ^ _113378) ^ [] : [-(in(278 ^ [_122961, _122963, _122965], _122961))]], 287 ^ _113378 : [(288 ^ _113378) ^ [] : [-(in(278 ^ [_122961, _122963, _122965], _122965)), -(in(278 ^ [_122961, _122963, _122965], _122963))], (294 ^ _113378) ^ [] : [in(278 ^ [_122961, _122963, _122965], _122961)]]], (535 ^ _113378) ^ [_131526] : [-(set_union2(_131526, empty_set) = _131526)]], input).
% 214.03/206.62  ncf('1',plain,[722 : in(715 ^ [], 716 ^ []), 726 : subset(singleton(715 ^ []), 716 ^ [])],start(718 ^ 0)).
% 214.03/206.62  ncf('1.1',plain,[-(in(715 ^ [], 716 ^ [])), 273 : in(715 ^ [], set_difference(singleton(715 ^ []), empty_set)), 269 : 716 ^ [] = set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set))],extension(255 ^ 3,bind([[_122236, _122238, _122240, _122696], [716 ^ [], set_difference(singleton(715 ^ []), empty_set), 716 ^ [], 715 ^ []]]))).
% 214.03/206.62  ncf('1.1.1',plain,[-(in(715 ^ [], set_difference(singleton(715 ^ []), empty_set))), 178 : 715 ^ [] = 715 ^ [], 178 : set_difference(singleton(715 ^ []), empty_set) = singleton(715 ^ [])],extension(168 ^ 8,bind([[_119161, _119163, _119503], [set_difference(singleton(715 ^ []), empty_set), 715 ^ [], 715 ^ []]]))).
% 214.03/206.62  ncf('1.1.1.1',plain,[-(715 ^ [] = 715 ^ []), 172 : in(715 ^ [], set_difference(singleton(715 ^ []), empty_set)), 172 : set_difference(singleton(715 ^ []), empty_set) = singleton(715 ^ [])],extension(168 ^ 11,bind([[_119161, _119163, _119331], [set_difference(singleton(715 ^ []), empty_set), 715 ^ [], 715 ^ []]]))).
% 214.03/206.62  ncf('1.1.1.1.1',plain,[-(in(715 ^ [], set_difference(singleton(715 ^ []), empty_set))), 178 : 715 ^ [] = 715 ^ [], 178 : set_difference(singleton(715 ^ []), empty_set) = singleton(715 ^ [])],extension(168 ^ 14,bind([[_119161, _119163, _119503], [set_difference(singleton(715 ^ []), empty_set), 715 ^ [], 715 ^ []]]))).
% 214.03/206.62  ncf('1.1.1.1.1.1',plain,[-(715 ^ [] = 715 ^ [])],extension(2 ^ 17,bind([[_113502], [715 ^ []]]))).
% 214.03/206.62  ncf('1.1.1.1.1.2',plain,[-(set_difference(singleton(715 ^ []), empty_set) = singleton(715 ^ []))],extension(600 ^ 15,bind([[_133934], [singleton(715 ^ [])]]))).
% 214.03/206.62  ncf('1.1.1.1.2',plain,[-(set_difference(singleton(715 ^ []), empty_set) = singleton(715 ^ []))],extension(600 ^ 12,bind([[_133934], [singleton(715 ^ [])]]))).
% 214.03/206.62  ncf('1.1.1.2',plain,[-(set_difference(singleton(715 ^ []), empty_set) = singleton(715 ^ []))],extension(600 ^ 9,bind([[_133934], [singleton(715 ^ [])]]))).
% 214.03/206.62  ncf('1.1.2',plain,[-(716 ^ [] = set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set))), subset(716 ^ [], set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set))), subset(set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set)), 716 ^ [])],extension(158 ^ 4,bind([[_118831, _118833], [set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set)), 716 ^ []]]))).
% 214.03/206.62  ncf('1.1.2.1',plain,[-(subset(716 ^ [], set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set))))],extension(682 ^ 5,bind([[_136929, _136931], [set_difference(singleton(715 ^ []), empty_set), 716 ^ []]]))).
% 214.03/206.62  ncf('1.1.2.2',plain,[-(subset(set_union2(716 ^ [], set_difference(singleton(715 ^ []), empty_set)), 716 ^ [])), subset(716 ^ [], 716 ^ []), subset(set_difference(singleton(715 ^ []), empty_set), 716 ^ [])],extension(706 ^ 5,bind([[_137747, _137749, _137751], [set_difference(singleton(715 ^ []), empty_set), 716 ^ [], 716 ^ []]]))).
% 214.03/206.62  ncf('1.1.2.2.1',plain,[-(subset(716 ^ [], 716 ^ [])), 716 ^ [] = 716 ^ []],extension(150 ^ 6,bind([[_118594, _118596], [716 ^ [], 716 ^ []]]))).
% 214.03/206.62  ncf('1.1.2.2.1.1',plain,[-(716 ^ [] = 716 ^ [])],extension(2 ^ 7,bind([[_113502], [716 ^ []]]))).
% 214.03/206.62  ncf('1.1.2.2.2',plain,[-(subset(set_difference(singleton(715 ^ []), empty_set), 716 ^ [])), subset(set_difference(singleton(715 ^ []), empty_set), singleton(715 ^ [])), subset(singleton(715 ^ []), 716 ^ [])],extension(537 ^ 6,bind([[_131650, _131652, _131654], [716 ^ [], singleton(715 ^ []), set_difference(singleton(715 ^ []), empty_set)]]))).
% 214.03/206.62  ncf('1.1.2.2.2.1',plain,[-(subset(set_difference(singleton(715 ^ []), empty_set), singleton(715 ^ [])))],extension(584 ^ 7,bind([[_133333, _133335], [empty_set, singleton(715 ^ [])]]))).
% 214.03/206.62  ncf('1.1.2.2.2.2',plain,[-(subset(singleton(715 ^ []), 716 ^ []))],extension(720 ^ 7)).
% 214.03/206.62  ncf('1.2',plain,[-(subset(singleton(715 ^ []), 716 ^ [])), 313 : in(309 ^ [716 ^ [], singleton(715 ^ [])], 716 ^ [])],extension(308 ^ 3,bind([[_124055, _124057], [716 ^ [], singleton(715 ^ [])]]))).
% 214.03/206.62  ncf('1.2.1',plain,[-(in(309 ^ [716 ^ [], singleton(715 ^ [])], 716 ^ [])), in(715 ^ [], 716 ^ []), 715 ^ [] = 309 ^ [716 ^ [], singleton(715 ^ [])], 716 ^ [] = 716 ^ []],extension(72 ^ 6,bind([[_115761, _115763, _115765, _115767], [716 ^ [], 716 ^ [], 309 ^ [716 ^ [], singleton(715 ^ [])], 715 ^ []]]))).
% 214.03/206.62  ncf('1.2.1.1',plain,[-(in(715 ^ [], 716 ^ []))],extension(724 ^ 7)).
% 214.03/206.62  ncf('1.2.1.2',plain,[-(715 ^ [] = 309 ^ [716 ^ [], singleton(715 ^ [])]), 309 ^ [716 ^ [], singleton(715 ^ [])] = 715 ^ []],extension(4 ^ 7,bind([[_113609, _113611], [715 ^ [], 309 ^ [716 ^ [], singleton(715 ^ [])]]]))).
% 214.03/206.62  ncf('1.2.1.2.1',plain,[-(309 ^ [716 ^ [], singleton(715 ^ [])] = 715 ^ []), 172 : in(309 ^ [716 ^ [], singleton(715 ^ [])], singleton(715 ^ [])), 172 : singleton(715 ^ []) = singleton(715 ^ [])],extension(168 ^ 8,bind([[_119161, _119163, _119331], [singleton(715 ^ []), 715 ^ [], 309 ^ [716 ^ [], singleton(715 ^ [])]]]))).
% 214.03/206.62  ncf('1.2.1.2.1.1',plain,[-(in(309 ^ [716 ^ [], singleton(715 ^ [])], singleton(715 ^ [])))],extension(311 ^ 11)).
% 214.03/206.62  ncf('1.2.1.2.1.2',plain,[-(singleton(715 ^ []) = singleton(715 ^ []))],extension(2 ^ 9,bind([[_113502], [singleton(715 ^ [])]]))).
% 214.03/206.62  ncf('1.2.1.3',plain,[-(716 ^ [] = 716 ^ []), 172 : in(716 ^ [], set_difference(singleton(716 ^ []), empty_set)), 172 : set_difference(singleton(716 ^ []), empty_set) = singleton(716 ^ [])],extension(168 ^ 7,bind([[_119161, _119163, _119331], [set_difference(singleton(716 ^ []), empty_set), 716 ^ [], 716 ^ []]]))).
% 214.03/206.62  ncf('1.2.1.3.1',plain,[-(in(716 ^ [], set_difference(singleton(716 ^ []), empty_set))), 178 : 716 ^ [] = 716 ^ [], 178 : set_difference(singleton(716 ^ []), empty_set) = singleton(716 ^ [])],extension(168 ^ 10,bind([[_119161, _119163, _119503], [set_difference(singleton(716 ^ []), empty_set), 716 ^ [], 716 ^ []]]))).
% 214.03/206.62  ncf('1.2.1.3.1.1',plain,[-(716 ^ [] = 716 ^ [])],extension(2 ^ 13,bind([[_113502], [716 ^ []]]))).
% 214.03/206.62  ncf('1.2.1.3.1.2',plain,[-(set_difference(singleton(716 ^ []), empty_set) = singleton(716 ^ []))],extension(600 ^ 11,bind([[_133934], [singleton(716 ^ [])]]))).
% 214.03/206.62  ncf('1.2.1.3.2',plain,[-(set_difference(singleton(716 ^ []), empty_set) = singleton(716 ^ []))],extension(600 ^ 8,bind([[_133934], [singleton(716 ^ [])]]))).
% 214.03/206.62  %-----------------------------------------------------
% 214.03/206.62  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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