%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 12:02:20 EDT 2023

% Result   : Theorem 44.18s 43.83s
% Output   : Proof 44.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.19  % Problem  : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.20  % Command  : nanocop.sh %s %d
% 0.13/0.40  % Computer : n018.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8042.1875MB
% 0.13/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Thu May 18 12:47:12 EDT 2023
% 0.13/0.40  % CPUTime  : 
% 44.18/43.83  
% 44.18/43.83  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 44.18/43.83  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.18/43.83  %-----------------------------------------------------
% 44.18/43.83  ncf(matrix, plain, [(598 ^ _118418) ^ [] : [599 ^ _118418 : [(602 ^ _118418) ^ [] : [set_difference(595 ^ [], 596 ^ []) = 595 ^ []], (600 ^ _118418) ^ [] : [-(disjoint(595 ^ [], 596 ^ []))]], 603 ^ _118418 : [(606 ^ _118418) ^ [] : [disjoint(595 ^ [], 596 ^ [])], (604 ^ _118418) ^ [] : [-(set_difference(595 ^ [], 596 ^ []) = 595 ^ [])]]], !, (455 ^ _97573) ^ [_113086, _113088] : [-(_113088 = _113086), 459 ^ _97573 : [(462 ^ _97573) ^ [] : [in(456 ^ [_113086, _113088], _113086)], (460 ^ _97573) ^ [] : [-(in(456 ^ [_113086, _113088], _113088))]], 463 ^ _97573 : [(466 ^ _97573) ^ [] : [in(456 ^ [_113086, _113088], _113088)], (464 ^ _97573) ^ [] : [-(in(456 ^ [_113086, _113088], _113086))]]], (453 ^ _97573) ^ [_112976] : [-(set_intersection2(_112976, empty_set) = empty_set)], (140 ^ _97573) ^ [_102341, _102343] : [-(_102343 = _102341), subset(_102343, _102341), subset(_102341, _102343)], (185 ^ _97573) ^ [_103866, _103868, _103870] : [-(_103866 = set_union2(_103870, _103868)), 189 ^ _97573 : [(194 ^ _97573) ^ [] : [in(186 ^ [_103866, _103868, _103870], _103868)], (192 ^ _97573) ^ [] : [in(186 ^ [_103866, _103868, _103870], _103870)], (190 ^ _97573) ^ [] : [-(in(186 ^ [_103866, _103868, _103870], _103866))]], 195 ^ _97573 : [(196 ^ _97573) ^ [] : [-(in(186 ^ [_103866, _103868, _103870], _103870)), -(in(186 ^ [_103866, _103868, _103870], _103868))], (202 ^ _97573) ^ [] : [in(186 ^ [_103866, _103868, _103870], _103866)]]], (132 ^ _97573) ^ [_102104, _102106] : [_102106 = _102104, 135 ^ _97573 : [(138 ^ _97573) ^ [] : [-(subset(_102104, _102106))], (136 ^ _97573) ^ [] : [-(subset(_102106, _102104))]]], (216 ^ _97573) ^ [_104960, _104962] : [218 ^ _97573 : [(221 ^ _97573) ^ [] : [in(217 ^ [_104960, _104962], _104960)], (219 ^ _97573) ^ [] : [-(in(217 ^ [_104960, _104962], _104962))]], -(subset(_104962, _104960))], (405 ^ _97573) ^ [_111291, _111293] : [disjoint(_111293, _111291), -(disjoint(_111291, _111293))], (411 ^ _97573) ^ [_111501, _111503] : [subset(_111503, _111501), -(set_union2(_111503, _111501) = _111501)], (150 ^ _97573) ^ [_102657] : [_102657 = empty_set, 153 ^ _97573 : [(154 ^ _97573) ^ [_102770] : [in(_102770, _102657)]]], (323 ^ _97573) ^ [_108813, _108815] : [proper_subset(_108815, _108813), 326 ^ _97573 : [(329 ^ _97573) ^ [] : [_108815 = _108813], (327 ^ _97573) ^ [] : [-(subset(_108815, _108813))]]], (116 ^ _97573) ^ [_101453, _101455] : [in(_101455, _101453), in(_101453, _101455)], (540 ^ _97573) ^ [_116283, _116285] : [541 ^ _97573 : [(542 ^ _97573) ^ [_116356] : [in(_116356, set_intersection2(_116285, _116283))]], disjoint(_116285, _116283)], (373 ^ _97573) ^ [_110100, _110102] : [-(empty(_110102)), empty(set_union2(_110100, _110102))], (311 ^ _97573) ^ [_108398, _108400] : [disjoint(_108400, _108398), -(set_intersection2(_108400, _108398) = empty_set)], (367 ^ _97573) ^ [_109884, _109886] : [-(empty(_109886)), empty(set_union2(_109886, _109884))], (2 ^ _97573) ^ [_97697] : [-(_97697 = _97697)], (353 ^ _97573) ^ [] : [true___, -(true___)], (552 ^ _97573) ^ [_116745, _116747, _116749] : [-(disjoint(_116749, _116745)), subset(_116749, _116747), disjoint(_116747, _116745)], (586 ^ _97573) ^ [_117837, _117839, _117841] : [-(subset(set_union2(_117841, _117837), _117839)), subset(_117841, _117839), subset(_117837, _117839)], (331 ^ _97573) ^ [_109051, _109053] : [-(proper_subset(_109053, _109051)), subset(_109053, _109051), -(_109053 = _109051)], (391 ^ _97573) ^ [_110800, _110802] : [subset(_110802, _110800), -(set_difference(_110802, _110800) = empty_set)], (505 ^ _97573) ^ [_114966, _114968] : [disjoint(_114968, _114966), 506 ^ _97573 : [(507 ^ _97573) ^ [_115058] : [in(_115058, _114968), in(_115058, _114966)]]], (383 ^ _97573) ^ [_110494, _110496] : [proper_subset(_110496, _110496)], (58 ^ _97573) ^ [_99532, _99534, _99536, _99538] : [-(subset(_99536, _99532)), subset(_99538, _99534), _99538 = _99536, _99534 = _99532], (401 ^ _97573) ^ [] : [empty(399 ^ [])], (419 ^ _97573) ^ [_111828, _111830, _111832] : [-(subset(_111832, set_intersection2(_111830, _111828))), subset(_111832, _111830), subset(_111832, _111828)], (562 ^ _97573) ^ [_117040] : [empty(_117040), -(_117040 = empty_set)], (10 ^ _97573) ^ [_98008, _98010, _98012] : [-(_98012 = _98008), _98012 = _98010, _98010 = _98008], (106 ^ _97573) ^ [_101112, _101114, _101116, _101118] : [-(set_difference(_101118, _101114) = set_difference(_101116, _101112)), _101118 = _101116, _101114 = _101112], (72 ^ _97573) ^ [_99956, _99958, _99960, _99962] : [-(disjoint(_99960, _99956)), disjoint(_99962, _99958), _99962 = _99960, _99958 = _99956], (417 ^ _97573) ^ [_111702, _111704] : [-(subset(set_intersection2(_111704, _111702), _111704))], (96 ^ _97573) ^ [_100773, _100775, _100777, _100779] : [-(set_union2(_100779, _100775) = set_union2(_100777, _100773)), _100779 = _100777, _100775 = _100773], (20 ^ _97573) ^ [_98349, _98351, _98353, _98355] : [-(proper_subset(_98353, _98349)), proper_subset(_98355, _98351), _98355 = _98353, _98351 = _98349], (128 ^ _97573) ^ [_101860, _101862] : [-(set_union2(_101862, _101860) = set_union2(_101860, _101862))], (480 ^ _97573) ^ [_114062, _114064] : [set_difference(_114064, _114062) = empty_set, -(subset(_114064, _114062))], (486 ^ _97573) ^ [_114230, _114232] : [subset(_114232, _114230), -(set_difference(_114232, _114230) = empty_set)], (531 ^ _97573) ^ [_115918] : [-(set_difference(empty_set, _115918) = empty_set)], (206 ^ _97573) ^ [_104646, _104648] : [subset(_104648, _104646), 209 ^ _97573 : [(210 ^ _97573) ^ [_104783] : [in(_104783, _104648), -(in(_104783, _104646))]]], (34 ^ _97573) ^ [_98793, _98795, _98797, _98799] : [-(in(_98797, _98793)), in(_98799, _98795), _98799 = _98797, _98795 = _98793], (492 ^ _97573) ^ [_114433, _114435] : [-(set_union2(_114435, set_difference(_114433, _114435)) = set_union2(_114435, _114433))], (225 ^ _97573) ^ [_105360, _105362, _105364] : [_105360 = set_intersection2(_105364, _105362), 228 ^ _97573 : [(237 ^ _97573) ^ [_105801] : [-(in(_105801, _105360)), in(_105801, _105364), in(_105801, _105362)], (229 ^ _97573) ^ [_105542] : [in(_105542, _105360), 232 ^ _97573 : [(235 ^ _97573) ^ [] : [-(in(_105542, _105362))], (233 ^ _97573) ^ [] : [-(in(_105542, _105364))]]]]], (515 ^ _97573) ^ [_115315] : [subset(_115315, empty_set), -(_115315 = empty_set)], (576 ^ _97573) ^ [_117546, _117548] : [empty(_117548), -(_117548 = _117546), empty(_117546)], (4 ^ _97573) ^ [_97804, _97806] : [_97806 = _97804, -(_97804 = _97806)], (341 ^ _97573) ^ [] : [true___, -(true___)], (290 ^ _97573) ^ [_107612, _107614, _107616] : [-(_107612 = set_difference(_107616, _107614)), 302 ^ _97573 : [(307 ^ _97573) ^ [] : [in(291 ^ [_107612, _107614, _107616], _107612)], (305 ^ _97573) ^ [] : [in(291 ^ [_107612, _107614, _107616], _107614)], (303 ^ _97573) ^ [] : [-(in(291 ^ [_107612, _107614, _107616], _107616))]], 294 ^ _97573 : [(297 ^ _97573) ^ [] : [in(291 ^ [_107612, _107614, _107616], _107616), -(in(291 ^ [_107612, _107614, _107616], _107614))], (295 ^ _97573) ^ [] : [-(in(291 ^ [_107612, _107614, _107616], _107612))]]], (379 ^ _97573) ^ [_110301, _110303] : [-(set_union2(_110303, _110303) = _110303)], (546 ^ _97573) ^ [_116522, _116524] : [subset(_116524, _116522), proper_subset(_116522, _116524)], (529 ^ _97573) ^ [_115829, _115831] : [-(set_difference(_115831, set_difference(_115831, _115829)) = set_intersection2(_115831, _115829))], (130 ^ _97573) ^ [_101960, _101962] : [-(set_intersection2(_101962, _101960) = set_intersection2(_101960, _101962))], (122 ^ _97573) ^ [_101664, _101666] : [proper_subset(_101666, _101664), proper_subset(_101664, _101666)], (429 ^ _97573) ^ [_112114] : [-(set_union2(_112114, empty_set) = _112114)], (48 ^ _97573) ^ [_99209, _99211] : [-(empty(_99209)), _99211 = _99209, empty(_99211)], (381 ^ _97573) ^ [_110398, _110400] : [-(set_intersection2(_110400, _110400) = _110400)], (398 ^ _97573) ^ [] : [-(empty(396 ^ []))], (447 ^ _97573) ^ [_112789, _112791] : [subset(_112791, _112789), -(set_intersection2(_112791, _112789) = _112791)], (496 ^ _97573) ^ [_114652, _114654] : [-(disjoint(_114654, _114652)), 500 ^ _97573 : [(503 ^ _97573) ^ [] : [-(in(499 ^ [_114652, _114654], _114652))], (501 ^ _97573) ^ [] : [-(in(499 ^ [_114652, _114654], _114654))]]], (347 ^ _97573) ^ [] : [true___, -(true___)], (385 ^ _97573) ^ [_110632, _110634] : [set_difference(_110634, _110632) = empty_set, -(subset(_110634, _110632))], (156 ^ _97573) ^ [_102836] : [-(in(157 ^ [_102836], _102836)), -(_102836 = empty_set)], (568 ^ _97573) ^ [_117242, _117244] : [in(_117244, _117242), empty(_117242)], (470 ^ _97573) ^ [_113587] : [-(subset(empty_set, _113587))], (478 ^ _97573) ^ [_113921, _113923] : [-(subset(set_difference(_113923, _113921), _113923))], (521 ^ _97573) ^ [_115504, _115506] : [-(set_difference(set_union2(_115506, _115504), _115504) = set_difference(_115506, _115504))], (163 ^ _97573) ^ [_103141, _103143, _103145] : [_103141 = set_union2(_103145, _103143), 166 ^ _97573 : [(167 ^ _97573) ^ [_103323] : [in(_103323, _103141), -(in(_103323, _103145)), -(in(_103323, _103143))], (177 ^ _97573) ^ [_103601] : [178 ^ _97573 : [(181 ^ _97573) ^ [] : [in(_103601, _103143)], (179 ^ _97573) ^ [] : [in(_103601, _103145)]], -(in(_103601, _103141))]]], (431 ^ _97573) ^ [_112238, _112240, _112242] : [-(subset(_112242, _112238)), subset(_112242, _112240), subset(_112240, _112238)], (359 ^ _97573) ^ [] : [true___, -(true___)], (365 ^ _97573) ^ [] : [-(empty(empty_set))], (523 ^ _97573) ^ [_115622, _115624] : [subset(_115624, _115622), -(_115622 = set_union2(_115624, set_difference(_115622, _115624)))], (317 ^ _97573) ^ [_108566, _108568] : [set_intersection2(_108568, _108566) = empty_set, -(disjoint(_108568, _108566))], (533 ^ _97573) ^ [_116048, _116050] : [-(disjoint(_116050, _116048)), -(in(536 ^ [_116048, _116050], set_intersection2(_116050, _116048)))], (574 ^ _97573) ^ [_117434, _117436] : [-(subset(_117436, set_union2(_117436, _117434)))], (86 ^ _97573) ^ [_100414, _100416, _100418, _100420] : [-(set_intersection2(_100420, _100416) = set_intersection2(_100418, _100414)), _100420 = _100418, _100416 = _100414], (403 ^ _97573) ^ [_111182, _111184] : [-(subset(_111184, _111184))], (441 ^ _97573) ^ [_112561, _112563, _112565] : [subset(_112565, _112563), -(subset(set_intersection2(_112565, _112561), set_intersection2(_112563, _112561)))], (494 ^ _97573) ^ [_114522] : [-(set_difference(_114522, empty_set) = _114522)], (247 ^ _97573) ^ [_106085, _106087, _106089] : [-(_106085 = set_intersection2(_106089, _106087)), 259 ^ _97573 : [(264 ^ _97573) ^ [] : [in(248 ^ [_106085, _106087, _106089], _106085)], (262 ^ _97573) ^ [] : [-(in(248 ^ [_106085, _106087, _106089], _106087))], (260 ^ _97573) ^ [] : [-(in(248 ^ [_106085, _106087, _106089], _106089))]], 251 ^ _97573 : [(254 ^ _97573) ^ [] : [in(248 ^ [_106085, _106087, _106089], _106089), in(248 ^ [_106085, _106087, _106089], _106087)], (252 ^ _97573) ^ [] : [-(in(248 ^ [_106085, _106087, _106089], _106085))]]], (472 ^ _97573) ^ [_113708, _113710, _113712] : [subset(_113712, _113710), -(subset(set_difference(_113712, _113708), set_difference(_113710, _113708)))], (268 ^ _97573) ^ [_106881, _106883, _106885] : [_106881 = set_difference(_106885, _106883), 271 ^ _97573 : [(280 ^ _97573) ^ [_107325] : [-(in(_107325, _106881)), in(_107325, _106885), -(in(_107325, _106883))], (272 ^ _97573) ^ [_107065] : [in(_107065, _106881), 275 ^ _97573 : [(278 ^ _97573) ^ [] : [in(_107065, _106883)], (276 ^ _97573) ^ [] : [-(in(_107065, _106885))]]]]]], input).
% 44.18/43.83  ncf('1',plain,[600 : -(disjoint(595 ^ [], 596 ^ [])), 604 : -(set_difference(595 ^ [], 596 ^ []) = 595 ^ [])],start(598 ^ 0)).
% 44.18/43.83  ncf('1.1',plain,[disjoint(595 ^ [], 596 ^ []), -(disjoint(596 ^ [], 595 ^ []))],extension(405 ^ 3,bind([[_111291, _111293], [596 ^ [], 595 ^ []]]))).
% 44.18/43.83  ncf('1.1.1',plain,[disjoint(596 ^ [], 595 ^ []), 507 : in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 596 ^ []), 507 : in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ [])],extension(505 ^ 4,bind([[_114966, _114968, _115058], [595 ^ [], 596 ^ [], 291 ^ [595 ^ [], 596 ^ [], 595 ^ []]]]))).
% 44.18/43.83  ncf('1.1.1.1',plain,[-(in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 596 ^ [])), 297 : in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ []), 297 : -(595 ^ [] = set_difference(595 ^ [], 596 ^ [])), 307 : in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ [])],extension(290 ^ 7,bind([[_107612, _107614, _107616], [595 ^ [], 596 ^ [], 595 ^ []]]))).
% 44.18/43.83  ncf('1.1.1.1.1',plain,[-(in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ []))],extension(295 ^ 10)).
% 44.18/43.83  ncf('1.1.1.1.2',plain,[595 ^ [] = set_difference(595 ^ [], 596 ^ []), -(set_difference(595 ^ [], 596 ^ []) = 595 ^ [])],extension(4 ^ 8,bind([[_97804, _97806], [set_difference(595 ^ [], 596 ^ []), 595 ^ []]]))).
% 44.18/43.83  ncf('1.1.1.1.2.1',plain,[set_difference(595 ^ [], 596 ^ []) = 595 ^ []],extension(602 ^ 9)).
% 44.18/43.83  ncf('1.1.1.1.3',plain,[-(in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ []))],extension(303 ^ 10)).
% 44.18/43.83  ncf('1.1.1.2',plain,[-(in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ [])), -(595 ^ [] = set_difference(595 ^ [], 596 ^ [])), 295 : -(in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ []))],extension(290 ^ 7,bind([[_107612, _107614, _107616], [595 ^ [], 596 ^ [], 595 ^ []]]))).
% 44.18/43.83  ncf('1.1.1.2.1',plain,[595 ^ [] = set_difference(595 ^ [], 596 ^ []), -(set_difference(595 ^ [], 596 ^ []) = 595 ^ [])],extension(4 ^ 8,bind([[_97804, _97806], [set_difference(595 ^ [], 596 ^ []), 595 ^ []]]))).
% 44.18/43.83  ncf('1.1.1.2.1.1',plain,[set_difference(595 ^ [], 596 ^ []) = 595 ^ []],extension(602 ^ 9)).
% 44.18/43.83  ncf('1.1.1.2.2',plain,[in(291 ^ [595 ^ [], 596 ^ [], 595 ^ []], 595 ^ [])],reduction('1.1.1')).
% 44.18/43.83  ncf('1.2',plain,[set_difference(595 ^ [], 596 ^ []) = 595 ^ [], 138 : -(subset(595 ^ [], set_difference(595 ^ [], 596 ^ [])))],extension(132 ^ 3,bind([[_102104, _102106], [595 ^ [], set_difference(595 ^ [], 596 ^ [])]]))).
% 44.18/43.83  ncf('1.2.1',plain,[subset(595 ^ [], set_difference(595 ^ [], 596 ^ [])), -(595 ^ [] = set_difference(595 ^ [], 596 ^ [])), subset(set_difference(595 ^ [], 596 ^ []), 595 ^ [])],extension(140 ^ 6,bind([[_102341, _102343], [set_difference(595 ^ [], 596 ^ []), 595 ^ []]]))).
% 44.18/43.83  ncf('1.2.1.1',plain,[595 ^ [] = set_difference(595 ^ [], 596 ^ []), 272 : in(499 ^ [596 ^ [], 595 ^ []], 595 ^ []), 278 : in(499 ^ [596 ^ [], 595 ^ []], 596 ^ [])],extension(268 ^ 7,bind([[_106881, _106883, _106885, _107065], [595 ^ [], 596 ^ [], 595 ^ [], 499 ^ [596 ^ [], 595 ^ []]]]))).
% 44.18/43.83  ncf('1.2.1.1.1',plain,[-(in(499 ^ [596 ^ [], 595 ^ []], 595 ^ [])), -(disjoint(595 ^ [], 596 ^ []))],extension(496 ^ 10,bind([[_114652, _114654], [596 ^ [], 595 ^ []]]))).
% 44.18/43.83  ncf('1.2.1.1.1.1',plain,[disjoint(595 ^ [], 596 ^ [])],extension(606 ^ 11)).
% 44.18/43.83  ncf('1.2.1.1.2',plain,[-(in(499 ^ [596 ^ [], 595 ^ []], 596 ^ [])), -(disjoint(595 ^ [], 596 ^ []))],extension(496 ^ 12,bind([[_114652, _114654], [596 ^ [], 595 ^ []]]))).
% 44.18/43.83  ncf('1.2.1.1.2.1',plain,[disjoint(595 ^ [], 596 ^ [])],extension(606 ^ 13)).
% 44.18/43.83  ncf('1.2.1.2',plain,[-(subset(set_difference(595 ^ [], 596 ^ []), 595 ^ [])), 595 ^ [] = set_difference(595 ^ [], 596 ^ [])],extension(132 ^ 7,bind([[_102104, _102106], [set_difference(595 ^ [], 596 ^ []), 595 ^ []]]))).
% 44.18/43.83  ncf('1.2.1.2.1',plain,[-(595 ^ [] = set_difference(595 ^ [], 596 ^ [])), set_difference(595 ^ [], 596 ^ []) = 595 ^ []],extension(4 ^ 8,bind([[_97804, _97806], [595 ^ [], set_difference(595 ^ [], 596 ^ [])]]))).
% 44.18/43.83  ncf('1.2.1.2.1.1',plain,[-(set_difference(595 ^ [], 596 ^ []) = 595 ^ [])],reduction('1')).
% 44.18/43.83  %-----------------------------------------------------
% 44.18/43.83  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------