TSTP Solution File: SEU142+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU142+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 34.24s 33.42s
% Output   : Proof 34.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU142+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n020.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 12:27:17 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 34.24/33.42  
% 34.24/33.42  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 34.24/33.42  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.24/33.42  %-----------------------------------------------------
% 34.24/33.42  ncf(matrix, plain, [(713 ^ _97689) ^ [] : [unordered_pair(711 ^ [], 711 ^ []) = singleton(711 ^ [])], (86 ^ _97689) ^ [_100550, _100552, _100554, _100556] : [-(set_intersection2(_100556, _100552) = set_intersection2(_100554, _100550)), _100556 = _100554, _100552 = _100550], (96 ^ _97689) ^ [_100909, _100911, _100913, _100915] : [-(set_difference(_100915, _100911) = set_difference(_100913, _100909)), _100915 = _100913, _100911 = _100909], (106 ^ _97689) ^ [_101268, _101270, _101272, _101274] : [-(set_union2(_101274, _101270) = set_union2(_101272, _101268)), _101274 = _101272, _101270 = _101268], (126 ^ _97689) ^ [_101938, _101940] : [_101940 = _101938, -(singleton(_101940) = singleton(_101938))], (116 ^ _97689) ^ [_101627, _101629, _101631, _101633] : [-(unordered_pair(_101633, _101629) = unordered_pair(_101631, _101627)), _101633 = _101631, _101629 = _101627], (2 ^ _97689) ^ [_97833] : [-(_97833 = _97833)], (4 ^ _97689) ^ [_97940, _97942] : [_97942 = _97940, -(_97940 = _97942)], (10 ^ _97689) ^ [_98144, _98146, _98148] : [-(_98148 = _98144), _98148 = _98146, _98146 = _98144], (20 ^ _97689) ^ [_98485, _98487, _98489, _98491] : [-(proper_subset(_98489, _98485)), proper_subset(_98491, _98487), _98491 = _98489, _98487 = _98485], (34 ^ _97689) ^ [_98929, _98931, _98933, _98935] : [-(in(_98933, _98929)), in(_98935, _98931), _98935 = _98933, _98931 = _98929], (48 ^ _97689) ^ [_99373, _99375, _99377, _99379] : [-(disjoint(_99377, _99373)), disjoint(_99379, _99375), _99379 = _99377, _99375 = _99373], (62 ^ _97689) ^ [_99789, _99791] : [-(empty(_99789)), _99791 = _99789, empty(_99791)], (72 ^ _97689) ^ [_100092, _100094, _100096, _100098] : [-(subset(_100096, _100092)), subset(_100098, _100094), _100098 = _100096, _100094 = _100092], (132 ^ _97689) ^ [_102174, _102176] : [in(_102176, _102174), in(_102174, _102176)], (138 ^ _97689) ^ [_102385, _102387] : [proper_subset(_102387, _102385), proper_subset(_102385, _102387)], (144 ^ _97689) ^ [_102581, _102583] : [-(unordered_pair(_102583, _102581) = unordered_pair(_102581, _102583))], (146 ^ _97689) ^ [_102681, _102683] : [-(set_union2(_102683, _102681) = set_union2(_102681, _102683))], (148 ^ _97689) ^ [_102781, _102783] : [-(set_intersection2(_102783, _102781) = set_intersection2(_102781, _102783))], (150 ^ _97689) ^ [_102925, _102927] : [_102927 = _102925, 153 ^ _97689 : [(154 ^ _97689) ^ [] : [-(subset(_102927, _102925))], (156 ^ _97689) ^ [] : [-(subset(_102925, _102927))]]], (158 ^ _97689) ^ [_103162, _103164] : [-(_103164 = _103162), subset(_103164, _103162), subset(_103162, _103164)], (184 ^ _97689) ^ [_104013, _104015] : [-(_104013 = singleton(_104015)), 188 ^ _97689 : [(189 ^ _97689) ^ [] : [-(in(185 ^ [_104013, _104015], _104013))], (191 ^ _97689) ^ [] : [185 ^ [_104013, _104015] = _104015]], 192 ^ _97689 : [(193 ^ _97689) ^ [] : [-(185 ^ [_104013, _104015] = _104015)], (195 ^ _97689) ^ [] : [in(185 ^ [_104013, _104015], _104013)]]], (168 ^ _97689) ^ [_103492, _103494] : [_103492 = singleton(_103494), 171 ^ _97689 : [(172 ^ _97689) ^ [_103662] : [in(_103662, _103492), -(_103662 = _103494)], (178 ^ _97689) ^ [_103834] : [_103834 = _103494, -(in(_103834, _103492))]]], (199 ^ _97689) ^ [_104564] : [_104564 = empty_set, 202 ^ _97689 : [(203 ^ _97689) ^ [_104677] : [in(_104677, _104564)]]], (205 ^ _97689) ^ [_104743] : [-(in(206 ^ [_104743], _104743)), -(_104743 = empty_set)], (234 ^ _97689) ^ [_105773, _105775, _105777] : [-(_105773 = unordered_pair(_105777, _105775)), 238 ^ _97689 : [(239 ^ _97689) ^ [] : [-(in(235 ^ [_105773, _105775, _105777], _105773))], (241 ^ _97689) ^ [] : [235 ^ [_105773, _105775, _105777] = _105777], (243 ^ _97689) ^ [] : [235 ^ [_105773, _105775, _105777] = _105775]], 244 ^ _97689 : [(251 ^ _97689) ^ [] : [in(235 ^ [_105773, _105775, _105777], _105773)], (245 ^ _97689) ^ [] : [-(235 ^ [_105773, _105775, _105777] = _105777), -(235 ^ [_105773, _105775, _105777] = _105775)]]], (212 ^ _97689) ^ [_105048, _105050, _105052] : [_105048 = unordered_pair(_105052, _105050), 215 ^ _97689 : [(226 ^ _97689) ^ [_105508] : [227 ^ _97689 : [(228 ^ _97689) ^ [] : [_105508 = _105052], (230 ^ _97689) ^ [] : [_105508 = _105050]], -(in(_105508, _105048))], (216 ^ _97689) ^ [_105230] : [in(_105230, _105048), -(_105230 = _105052), -(_105230 = _105050)]]], (277 ^ _97689) ^ [_107292, _107294, _107296] : [-(_107292 = set_union2(_107296, _107294)), 281 ^ _97689 : [(282 ^ _97689) ^ [] : [-(in(278 ^ [_107292, _107294, _107296], _107292))], (284 ^ _97689) ^ [] : [in(278 ^ [_107292, _107294, _107296], _107296)], (286 ^ _97689) ^ [] : [in(278 ^ [_107292, _107294, _107296], _107294)]], 287 ^ _97689 : [(294 ^ _97689) ^ [] : [in(278 ^ [_107292, _107294, _107296], _107292)], (288 ^ _97689) ^ [] : [-(in(278 ^ [_107292, _107294, _107296], _107296)), -(in(278 ^ [_107292, _107294, _107296], _107294))]]], (255 ^ _97689) ^ [_106567, _106569, _106571] : [_106567 = set_union2(_106571, _106569), 258 ^ _97689 : [(269 ^ _97689) ^ [_107027] : [270 ^ _97689 : [(271 ^ _97689) ^ [] : [in(_107027, _106571)], (273 ^ _97689) ^ [] : [in(_107027, _106569)]], -(in(_107027, _106567))], (259 ^ _97689) ^ [_106749] : [in(_106749, _106567), -(in(_106749, _106571)), -(in(_106749, _106569))]]], (308 ^ _97689) ^ [_108386, _108388] : [310 ^ _97689 : [(311 ^ _97689) ^ [] : [-(in(309 ^ [_108386, _108388], _108388))], (313 ^ _97689) ^ [] : [in(309 ^ [_108386, _108388], _108386)]], -(subset(_108388, _108386))], (298 ^ _97689) ^ [_108072, _108074] : [subset(_108074, _108072), 301 ^ _97689 : [(302 ^ _97689) ^ [_108209] : [in(_108209, _108074), -(in(_108209, _108072))]]], (339 ^ _97689) ^ [_109511, _109513, _109515] : [-(_109511 = set_intersection2(_109515, _109513)), 351 ^ _97689 : [(352 ^ _97689) ^ [] : [-(in(340 ^ [_109511, _109513, _109515], _109515))], (354 ^ _97689) ^ [] : [-(in(340 ^ [_109511, _109513, _109515], _109513))], (356 ^ _97689) ^ [] : [in(340 ^ [_109511, _109513, _109515], _109511)]], 343 ^ _97689 : [(344 ^ _97689) ^ [] : [-(in(340 ^ [_109511, _109513, _109515], _109511))], (346 ^ _97689) ^ [] : [in(340 ^ [_109511, _109513, _109515], _109515), in(340 ^ [_109511, _109513, _109515], _109513)]]], (317 ^ _97689) ^ [_108786, _108788, _108790] : [_108786 = set_intersection2(_108790, _108788), 320 ^ _97689 : [(321 ^ _97689) ^ [_108968] : [in(_108968, _108786), 324 ^ _97689 : [(325 ^ _97689) ^ [] : [-(in(_108968, _108790))], (327 ^ _97689) ^ [] : [-(in(_108968, _108788))]]], (329 ^ _97689) ^ [_109227] : [-(in(_109227, _108786)), in(_109227, _108790), in(_109227, _108788)]]], (382 ^ _97689) ^ [_111038, _111040, _111042] : [-(_111038 = set_difference(_111042, _111040)), 394 ^ _97689 : [(395 ^ _97689) ^ [] : [-(in(383 ^ [_111038, _111040, _111042], _111042))], (397 ^ _97689) ^ [] : [in(383 ^ [_111038, _111040, _111042], _111040)], (399 ^ _97689) ^ [] : [in(383 ^ [_111038, _111040, _111042], _111038)]], 386 ^ _97689 : [(387 ^ _97689) ^ [] : [-(in(383 ^ [_111038, _111040, _111042], _111038))], (389 ^ _97689) ^ [] : [in(383 ^ [_111038, _111040, _111042], _111042), -(in(383 ^ [_111038, _111040, _111042], _111040))]]], (360 ^ _97689) ^ [_110307, _110309, _110311] : [_110307 = set_difference(_110311, _110309), 363 ^ _97689 : [(364 ^ _97689) ^ [_110491] : [in(_110491, _110307), 367 ^ _97689 : [(368 ^ _97689) ^ [] : [-(in(_110491, _110311))], (370 ^ _97689) ^ [] : [in(_110491, _110309)]]], (372 ^ _97689) ^ [_110751] : [-(in(_110751, _110307)), in(_110751, _110311), -(in(_110751, _110309))]]], (403 ^ _97689) ^ [_111824, _111826] : [disjoint(_111826, _111824), -(set_intersection2(_111826, _111824) = empty_set)], (409 ^ _97689) ^ [_111992, _111994] : [set_intersection2(_111994, _111992) = empty_set, -(disjoint(_111994, _111992))], (415 ^ _97689) ^ [_112239, _112241] : [proper_subset(_112241, _112239), 418 ^ _97689 : [(419 ^ _97689) ^ [] : [-(subset(_112241, _112239))], (421 ^ _97689) ^ [] : [_112241 = _112239]]], (423 ^ _97689) ^ [_112477, _112479] : [-(proper_subset(_112479, _112477)), subset(_112479, _112477), -(_112479 = _112477)], (433 ^ _97689) ^ [] : [true___, -(true___)], (439 ^ _97689) ^ [] : [true___, -(true___)], (445 ^ _97689) ^ [] : [true___, -(true___)], (451 ^ _97689) ^ [] : [true___, -(true___)], (457 ^ _97689) ^ [] : [true___, -(true___)], (463 ^ _97689) ^ [] : [true___, -(true___)], (469 ^ _97689) ^ [] : [-(empty(empty_set))], (471 ^ _97689) ^ [_113548, _113550] : [-(empty(_113550)), empty(set_union2(_113550, _113548))], (477 ^ _97689) ^ [_113764, _113766] : [-(empty(_113766)), empty(set_union2(_113764, _113766))], (483 ^ _97689) ^ [_113965, _113967] : [-(set_union2(_113967, _113967) = _113967)], (485 ^ _97689) ^ [_114062, _114064] : [-(set_intersection2(_114064, _114064) = _114064)], (487 ^ _97689) ^ [_114158, _114160] : [proper_subset(_114160, _114160)], (489 ^ _97689) ^ [_114296, _114298] : [set_difference(_114298, _114296) = empty_set, -(subset(_114298, _114296))], (495 ^ _97689) ^ [_114464, _114466] : [subset(_114466, _114464), -(set_difference(_114466, _114464) = empty_set)], (502 ^ _97689) ^ [] : [-(empty(500 ^ []))], (505 ^ _97689) ^ [] : [empty(503 ^ [])], (507 ^ _97689) ^ [_114846, _114848] : [-(subset(_114848, _114848))], (509 ^ _97689) ^ [_114955, _114957] : [disjoint(_114957, _114955), -(disjoint(_114955, _114957))], (515 ^ _97689) ^ [_115165, _115167] : [subset(_115167, _115165), -(set_union2(_115167, _115165) = _115165)], (521 ^ _97689) ^ [_115366, _115368] : [-(subset(set_intersection2(_115368, _115366), _115368))], (523 ^ _97689) ^ [_115492, _115494, _115496] : [-(subset(_115496, set_intersection2(_115494, _115492))), subset(_115496, _115494), subset(_115496, _115492)], (533 ^ _97689) ^ [_115778] : [-(set_union2(_115778, empty_set) = _115778)], (535 ^ _97689) ^ [_115902, _115904, _115906] : [-(subset(_115906, _115902)), subset(_115906, _115904), subset(_115904, _115902)], (545 ^ _97689) ^ [_116225, _116227, _116229] : [subset(_116229, _116227), -(subset(set_intersection2(_116229, _116225), set_intersection2(_116227, _116225)))], (551 ^ _97689) ^ [_116453, _116455] : [subset(_116455, _116453), -(set_intersection2(_116455, _116453) = _116455)], (557 ^ _97689) ^ [_116640] : [-(set_intersection2(_116640, empty_set) = empty_set)], (559 ^ _97689) ^ [_116750, _116752] : [-(_116752 = _116750), 563 ^ _97689 : [(564 ^ _97689) ^ [] : [-(in(560 ^ [_116750, _116752], _116752))], (566 ^ _97689) ^ [] : [in(560 ^ [_116750, _116752], _116750)]], 567 ^ _97689 : [(568 ^ _97689) ^ [] : [-(in(560 ^ [_116750, _116752], _116750))], (570 ^ _97689) ^ [] : [in(560 ^ [_116750, _116752], _116752)]]], (574 ^ _97689) ^ [_117251] : [-(subset(empty_set, _117251))], (576 ^ _97689) ^ [_117372, _117374, _117376] : [subset(_117376, _117374), -(subset(set_difference(_117376, _117372), set_difference(_117374, _117372)))], (582 ^ _97689) ^ [_117585, _117587] : [-(subset(set_difference(_117587, _117585), _117587))], (584 ^ _97689) ^ [_117726, _117728] : [set_difference(_117728, _117726) = empty_set, -(subset(_117728, _117726))], (590 ^ _97689) ^ [_117894, _117896] : [subset(_117896, _117894), -(set_difference(_117896, _117894) = empty_set)], (596 ^ _97689) ^ [_118097, _118099] : [-(set_union2(_118099, set_difference(_118097, _118099)) = set_union2(_118099, _118097))], (598 ^ _97689) ^ [_118186] : [-(set_difference(_118186, empty_set) = _118186)], (600 ^ _97689) ^ [_118316, _118318] : [-(disjoint(_118318, _118316)), 604 ^ _97689 : [(605 ^ _97689) ^ [] : [-(in(603 ^ [_118316, _118318], _118318))], (607 ^ _97689) ^ [] : [-(in(603 ^ [_118316, _118318], _118316))]]], (609 ^ _97689) ^ [_118630, _118632] : [disjoint(_118632, _118630), 610 ^ _97689 : [(611 ^ _97689) ^ [_118722] : [in(_118722, _118632), in(_118722, _118630)]]], (619 ^ _97689) ^ [_118979] : [subset(_118979, empty_set), -(_118979 = empty_set)], (625 ^ _97689) ^ [_119168, _119170] : [-(set_difference(set_union2(_119170, _119168), _119168) = set_difference(_119170, _119168))], (627 ^ _97689) ^ [_119286, _119288] : [subset(_119288, _119286), -(_119286 = set_union2(_119288, set_difference(_119286, _119288)))], (633 ^ _97689) ^ [_119493, _119495] : [-(set_difference(_119495, set_difference(_119495, _119493)) = set_intersection2(_119495, _119493))], (635 ^ _97689) ^ [_119582] : [-(set_difference(empty_set, _119582) = empty_set)], (637 ^ _97689) ^ [_119712, _119714] : [-(disjoint(_119714, _119712)), -(in(640 ^ [_119712, _119714], set_intersection2(_119714, _119712)))], (644 ^ _97689) ^ [_119947, _119949] : [645 ^ _97689 : [(646 ^ _97689) ^ [_120020] : [in(_120020, set_intersection2(_119949, _119947))]], disjoint(_119949, _119947)], (650 ^ _97689) ^ [_120186, _120188] : [subset(_120188, _120186), proper_subset(_120186, _120188)], (656 ^ _97689) ^ [_120409, _120411, _120413] : [-(disjoint(_120413, _120409)), subset(_120413, _120411), disjoint(_120411, _120409)], (666 ^ _97689) ^ [_120704] : [empty(_120704), -(_120704 = empty_set)], (672 ^ _97689) ^ [_120906, _120908] : [in(_120908, _120906), empty(_120906)], (678 ^ _97689) ^ [_121098, _121100] : [-(subset(_121100, set_union2(_121100, _121098)))], (680 ^ _97689) ^ [_121239, _121241] : [disjoint(_121241, _121239), -(set_difference(_121241, _121239) = _121241)], (686 ^ _97689) ^ [_121407, _121409] : [set_difference(_121409, _121407) = _121409, -(disjoint(_121409, _121407))], (692 ^ _97689) ^ [_121625, _121627] : [empty(_121627), -(_121627 = _121625), empty(_121625)], (702 ^ _97689) ^ [_121916, _121918, _121920] : [-(subset(set_union2(_121920, _121916), _121918)), subset(_121920, _121918), subset(_121916, _121918)]], input).
% 34.24/33.42  ncf('1',plain,[unordered_pair(711 ^ [], 711 ^ []) = singleton(711 ^ [])],start(713 ^ 0)).
% 34.24/33.42  ncf('1.1',plain,[-(unordered_pair(711 ^ [], 711 ^ []) = singleton(711 ^ [])), singleton(711 ^ []) = unordered_pair(711 ^ [], 711 ^ [])],extension(4 ^ 1,bind([[_97940, _97942], [unordered_pair(711 ^ [], 711 ^ []), singleton(711 ^ [])]]))).
% 34.24/33.42  ncf('1.1.1',plain,[-(singleton(711 ^ []) = unordered_pair(711 ^ [], 711 ^ [])), 239 : -(in(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(711 ^ []))), 251 : in(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(711 ^ []))],extension(234 ^ 2,bind([[_105773, _105775, _105777], [singleton(711 ^ []), 711 ^ [], 711 ^ []]]))).
% 34.24/33.42  ncf('1.1.1.1',plain,[in(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(711 ^ [])), 172 : -(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ []), 172 : singleton(711 ^ []) = singleton(711 ^ [])],extension(168 ^ 5,bind([[_103492, _103494, _103662], [singleton(711 ^ []), 711 ^ [], 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.1.1',plain,[235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ [], -(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ []), 711 ^ [] = 711 ^ []],extension(10 ^ 8,bind([[_98144, _98146, _98148], [711 ^ [], 711 ^ [], 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.1.1.1',plain,[235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ []],extension(241 ^ 9)).
% 34.24/33.42  ncf('1.1.1.1.1.2',plain,[-(711 ^ [] = 711 ^ [])],extension(2 ^ 9,bind([[_97833], [711 ^ []]]))).
% 34.24/33.42  ncf('1.1.1.1.2',plain,[-(singleton(711 ^ []) = singleton(711 ^ [])), 711 ^ [] = 711 ^ []],extension(126 ^ 6,bind([[_101938, _101940], [711 ^ [], 711 ^ []]]))).
% 34.24/33.42  ncf('1.1.1.1.2.1',plain,[-(711 ^ [] = 711 ^ [])],extension(2 ^ 7,bind([[_97833], [711 ^ []]]))).
% 34.24/33.42  ncf('1.1.1.2',plain,[-(in(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(711 ^ []))), in(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []])), 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]) = singleton(711 ^ [])],extension(34 ^ 5,bind([[_98929, _98931, _98933, _98935], [singleton(711 ^ []), singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]), 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.2.1',plain,[-(in(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]))), 178 : 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], 178 : singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]) = singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []])],extension(168 ^ 6,bind([[_103492, _103494, _103834], [singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]), 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []], 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.2.1.1',plain,[-(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []])],extension(2 ^ 9,bind([[_97833], [235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.2.1.2',plain,[-(singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]) = singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]))],extension(2 ^ 7,bind([[_97833], [singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []])]]))).
% 34.24/33.42  ncf('1.1.1.2.2',plain,[-(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []])],extension(2 ^ 6,bind([[_97833], [235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.2.3',plain,[-(singleton(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]) = singleton(711 ^ [])), 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ []],extension(126 ^ 6,bind([[_101938, _101940], [711 ^ [], 235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []]]]))).
% 34.24/33.42  ncf('1.1.1.2.3.1',plain,[-(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ []), -(235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ [])],extension(245 ^ 7)).
% 34.24/33.42  ncf('1.1.1.2.3.1.1',plain,[235 ^ [singleton(711 ^ []), 711 ^ [], 711 ^ []] = 711 ^ []],reduction('1.1.1.2.3')).
% 34.24/33.42  %-----------------------------------------------------
% 34.24/33.42  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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