%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 12:03:04 EDT 2023

% Result   : Theorem 5.23s 5.51s
% Output   : Proof 5.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 13:07:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 5.23/5.51  
% 5.23/5.51  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 5.23/5.51  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.23/5.51  %-----------------------------------------------------
% 5.23/5.51  ncf(matrix, plain, [(789 ^ _105967) ^ [] : [-(relation(787 ^ []))], (791 ^ _105967) ^ [] : [-(function(787 ^ []))], (793 ^ _105967) ^ [] : [-(finite(relation_dom(787 ^ [])))], (795 ^ _105967) ^ [] : [finite(relation_rng(787 ^ []))], (222 ^ _105967) ^ [_112873, _112875, _112877, _112879] : [-(relation_image(_112879, _112875) = relation_image(_112877, _112873)), _112879 = _112877, _112875 = _112873], (232 ^ _105967) ^ [_113204, _113206] : [_113206 = _113204, -(powerset(_113206) = powerset(_113204))], (238 ^ _105967) ^ [_113422, _113424] : [_113424 = _113422, -(relation_dom(_113424) = relation_dom(_113422))], (244 ^ _105967) ^ [_113620, _113622] : [_113622 = _113620, -(relation_rng(_113622) = relation_rng(_113620))], (2 ^ _105967) ^ [_106111] : [-(_106111 = _106111)], (4 ^ _105967) ^ [_106218, _106220] : [_106220 = _106218, -(_106218 = _106220)], (10 ^ _105967) ^ [_106422, _106424, _106426] : [-(_106426 = _106422), _106426 = _106424, _106424 = _106422], (20 ^ _105967) ^ [_106735, _106737] : [-(with_non_empty_elements(_106735)), _106737 = _106735, with_non_empty_elements(_106737)], (30 ^ _105967) ^ [_107030, _107032] : [-(function_yielding(_107030)), _107032 = _107030, function_yielding(_107032)], (40 ^ _105967) ^ [_107325, _107327] : [-(being_limit_ordinal(_107325)), _107327 = _107325, being_limit_ordinal(_107327)], (50 ^ _105967) ^ [_107620, _107622] : [-(ordinal_yielding(_107620)), _107622 = _107620, ordinal_yielding(_107622)], (60 ^ _105967) ^ [_107915, _107917] : [-(natural(_107915)), _107917 = _107915, natural(_107917)], (70 ^ _105967) ^ [_108210, _108212] : [-(one_to_one(_108210)), _108212 = _108210, one_to_one(_108212)], (80 ^ _105967) ^ [_108505, _108507] : [-(epsilon_transitive(_108505)), _108507 = _108505, epsilon_transitive(_108507)], (90 ^ _105967) ^ [_108800, _108802] : [-(epsilon_connected(_108800)), _108802 = _108800, epsilon_connected(_108802)], (100 ^ _105967) ^ [_109095, _109097] : [-(ordinal(_109095)), _109097 = _109095, ordinal(_109097)], (110 ^ _105967) ^ [_109390, _109392] : [-(relation_empty_yielding(_109390)), _109392 = _109390, relation_empty_yielding(_109392)], (120 ^ _105967) ^ [_109685, _109687] : [-(transfinite_sequence(_109685)), _109687 = _109685, transfinite_sequence(_109687)], (130 ^ _105967) ^ [_109980, _109982] : [-(relation_non_empty(_109980)), _109982 = _109980, relation_non_empty(_109982)], (140 ^ _105967) ^ [_110303, _110305, _110307, _110309] : [-(subset(_110307, _110303)), subset(_110309, _110305), _110309 = _110307, _110305 = _110303], (154 ^ _105967) ^ [_110747, _110749, _110751, _110753] : [-(element(_110751, _110747)), element(_110753, _110749), _110753 = _110751, _110749 = _110747], (168 ^ _105967) ^ [_111191, _111193, _111195, _111197] : [-(in(_111195, _111191)), in(_111197, _111193), _111197 = _111195, _111193 = _111191], (182 ^ _105967) ^ [_111607, _111609] : [-(empty(_111607)), _111609 = _111607, empty(_111609)], (192 ^ _105967) ^ [_111902, _111904] : [-(relation(_111902)), _111904 = _111902, relation(_111904)], (202 ^ _105967) ^ [_112197, _112199] : [-(function(_112197)), _112199 = _112197, function(_112199)], (212 ^ _105967) ^ [_112472, _112474] : [-(finite(_112472)), _112474 = _112472, finite(_112474)], (250 ^ _105967) ^ [_113856, _113858] : [in(_113858, _113856), in(_113856, _113858)], (256 ^ _105967) ^ [_114053] : [ordinal(_114053), 259 ^ _105967 : [(260 ^ _105967) ^ [_114193] : [element(_114193, _114053), 263 ^ _105967 : [(264 ^ _105967) ^ [] : [-(epsilon_transitive(_114193))], (266 ^ _105967) ^ [] : [-(epsilon_connected(_114193))], (268 ^ _105967) ^ [] : [-(ordinal(_114193))]]]]], (270 ^ _105967) ^ [_114539] : [empty(_114539), -(finite(_114539))], (276 ^ _105967) ^ [_114725] : [empty(_114725), -(function(_114725))], (282 ^ _105967) ^ [_114911] : [ordinal(_114911), 285 ^ _105967 : [(286 ^ _105967) ^ [] : [-(epsilon_transitive(_114911))], (288 ^ _105967) ^ [] : [-(epsilon_connected(_114911))]]], (290 ^ _105967) ^ [_115168] : [empty(_115168), -(relation(_115168))], (296 ^ _105967) ^ [_115354] : [303 ^ _105967 : [(304 ^ _105967) ^ [] : [-(epsilon_transitive(_115354))], (306 ^ _105967) ^ [] : [-(epsilon_connected(_115354))], (308 ^ _105967) ^ [] : [-(ordinal(_115354))], (310 ^ _105967) ^ [] : [-(natural(_115354))]], empty(_115354), ordinal(_115354)], (312 ^ _105967) ^ [_115834] : [finite(_115834), 315 ^ _105967 : [(316 ^ _105967) ^ [_115966] : [element(_115966, powerset(_115834)), -(finite(_115966))]]], (322 ^ _105967) ^ [_116171] : [333 ^ _105967 : [(334 ^ _105967) ^ [] : [-(relation(_116171))], (336 ^ _105967) ^ [] : [-(function(_116171))], (338 ^ _105967) ^ [] : [-(one_to_one(_116171))]], relation(_116171), empty(_116171), function(_116171)], (340 ^ _105967) ^ [_116664] : [-(ordinal(_116664)), epsilon_transitive(_116664), epsilon_connected(_116664)], (350 ^ _105967) ^ [_116933] : [empty(_116933), 353 ^ _105967 : [(354 ^ _105967) ^ [] : [-(epsilon_transitive(_116933))], (356 ^ _105967) ^ [] : [-(epsilon_connected(_116933))], (358 ^ _105967) ^ [] : [-(ordinal(_116933))]]], (360 ^ _105967) ^ [_117260] : [element(_117260, positive_rationals), ordinal(_117260), 367 ^ _105967 : [(368 ^ _105967) ^ [] : [-(epsilon_transitive(_117260))], (370 ^ _105967) ^ [] : [-(epsilon_connected(_117260))], (372 ^ _105967) ^ [] : [-(ordinal(_117260))], (374 ^ _105967) ^ [] : [-(natural(_117260))]]], (377 ^ _105967) ^ [_117766] : [-(element(375 ^ [_117766], _117766))], (379 ^ _105967) ^ [] : [-(empty(empty_set))], (381 ^ _105967) ^ [] : [-(relation(empty_set))], (383 ^ _105967) ^ [] : [-(relation_empty_yielding(empty_set))], (385 ^ _105967) ^ [_118041, _118043] : [-(finite(relation_image(_118043, _118041))), relation(_118043), function(_118043), finite(_118041)], (399 ^ _105967) ^ [_118397] : [empty(powerset(_118397))], (401 ^ _105967) ^ [] : [-(empty(empty_set))], (403 ^ _105967) ^ [] : [-(relation(empty_set))], (405 ^ _105967) ^ [] : [-(relation_empty_yielding(empty_set))], (407 ^ _105967) ^ [] : [-(function(empty_set))], (409 ^ _105967) ^ [] : [-(one_to_one(empty_set))], (411 ^ _105967) ^ [] : [-(empty(empty_set))], (413 ^ _105967) ^ [] : [-(epsilon_transitive(empty_set))], (415 ^ _105967) ^ [] : [-(epsilon_connected(empty_set))], (417 ^ _105967) ^ [] : [-(ordinal(empty_set))], (419 ^ _105967) ^ [] : [-(empty(empty_set))], (421 ^ _105967) ^ [] : [-(relation(empty_set))], (423 ^ _105967) ^ [_119090] : [434 ^ _105967 : [(435 ^ _105967) ^ [] : [-(epsilon_transitive(relation_dom(_119090)))], (437 ^ _105967) ^ [] : [-(epsilon_connected(relation_dom(_119090)))], (439 ^ _105967) ^ [] : [-(ordinal(relation_dom(_119090)))]], relation(_119090), function(_119090), transfinite_sequence(_119090)], (441 ^ _105967) ^ [_119595] : [empty(relation_dom(_119595)), -(empty(_119595)), relation(_119595)], (451 ^ _105967) ^ [_119872] : [-(with_non_empty_elements(relation_rng(_119872))), relation(_119872), relation_non_empty(_119872), function(_119872)], (465 ^ _105967) ^ [_120228] : [empty(relation_rng(_120228)), -(empty(_120228)), relation(_120228)], (475 ^ _105967) ^ [_120505] : [empty(_120505), 478 ^ _105967 : [(479 ^ _105967) ^ [] : [-(empty(relation_dom(_120505)))], (481 ^ _105967) ^ [] : [-(relation(relation_dom(_120505)))]]], (483 ^ _105967) ^ [] : [empty(positive_rationals)], (485 ^ _105967) ^ [_120822] : [empty(_120822), 488 ^ _105967 : [(489 ^ _105967) ^ [] : [-(empty(relation_rng(_120822)))], (491 ^ _105967) ^ [] : [-(relation(relation_rng(_120822)))]]], (494 ^ _105967) ^ [] : [empty(492 ^ [])], (496 ^ _105967) ^ [] : [-(epsilon_transitive(492 ^ []))], (498 ^ _105967) ^ [] : [-(epsilon_connected(492 ^ []))], (500 ^ _105967) ^ [] : [-(ordinal(492 ^ []))], (502 ^ _105967) ^ [] : [-(natural(492 ^ []))], (505 ^ _105967) ^ [] : [empty(503 ^ [])], (507 ^ _105967) ^ [] : [-(finite(503 ^ []))], (510 ^ _105967) ^ [] : [-(relation(508 ^ []))], (512 ^ _105967) ^ [] : [-(function(508 ^ []))], (514 ^ _105967) ^ [] : [-(function_yielding(508 ^ []))], (517 ^ _105967) ^ [] : [-(relation(515 ^ []))], (519 ^ _105967) ^ [] : [-(function(515 ^ []))], (522 ^ _105967) ^ [] : [-(epsilon_transitive(520 ^ []))], (524 ^ _105967) ^ [] : [-(epsilon_connected(520 ^ []))], (526 ^ _105967) ^ [] : [-(ordinal(520 ^ []))], (529 ^ _105967) ^ [] : [-(epsilon_transitive(527 ^ []))], (531 ^ _105967) ^ [] : [-(epsilon_connected(527 ^ []))], (533 ^ _105967) ^ [] : [-(ordinal(527 ^ []))], (535 ^ _105967) ^ [] : [-(being_limit_ordinal(527 ^ []))], (538 ^ _105967) ^ [] : [-(empty(536 ^ []))], (540 ^ _105967) ^ [] : [-(relation(536 ^ []))], (542 ^ _105967) ^ [_122552] : [-(empty(_122552)), 546 ^ _105967 : [(547 ^ _105967) ^ [] : [-(element(545 ^ [_122552], powerset(_122552)))], (549 ^ _105967) ^ [] : [empty(545 ^ [_122552])]]], (552 ^ _105967) ^ [] : [-(empty(550 ^ []))], (555 ^ _105967) ^ [] : [-(element(553 ^ [], positive_rationals))], (557 ^ _105967) ^ [] : [empty(553 ^ [])], (559 ^ _105967) ^ [] : [-(epsilon_transitive(553 ^ []))], (561 ^ _105967) ^ [] : [-(epsilon_connected(553 ^ []))], (563 ^ _105967) ^ [] : [-(ordinal(553 ^ []))], (566 ^ _105967) ^ [_123395] : [-(element(564 ^ [_123395], powerset(_123395)))], (568 ^ _105967) ^ [_123466] : [-(empty(564 ^ [_123466]))], (570 ^ _105967) ^ [_123534] : [-(relation(564 ^ [_123534]))], (572 ^ _105967) ^ [_123602] : [-(function(564 ^ [_123602]))], (574 ^ _105967) ^ [_123670] : [-(one_to_one(564 ^ [_123670]))], (576 ^ _105967) ^ [_123738] : [-(epsilon_transitive(564 ^ [_123738]))], (578 ^ _105967) ^ [_123806] : [-(epsilon_connected(564 ^ [_123806]))], (580 ^ _105967) ^ [_123874] : [-(ordinal(564 ^ [_123874]))], (582 ^ _105967) ^ [_123942] : [-(natural(564 ^ [_123942]))], (584 ^ _105967) ^ [_123990] : [-(finite(564 ^ [_123990]))], (587 ^ _105967) ^ [] : [-(relation(585 ^ []))], (589 ^ _105967) ^ [] : [-(empty(585 ^ []))], (591 ^ _105967) ^ [] : [-(function(585 ^ []))], (594 ^ _105967) ^ [] : [-(relation(592 ^ []))], (596 ^ _105967) ^ [] : [-(function(592 ^ []))], (598 ^ _105967) ^ [] : [-(one_to_one(592 ^ []))], (600 ^ _105967) ^ [] : [-(empty(592 ^ []))], (602 ^ _105967) ^ [] : [-(epsilon_transitive(592 ^ []))], (604 ^ _105967) ^ [] : [-(epsilon_connected(592 ^ []))], (606 ^ _105967) ^ [] : [-(ordinal(592 ^ []))], (609 ^ _105967) ^ [] : [-(relation(607 ^ []))], (611 ^ _105967) ^ [] : [-(function(607 ^ []))], (613 ^ _105967) ^ [] : [-(transfinite_sequence(607 ^ []))], (615 ^ _105967) ^ [] : [-(ordinal_yielding(607 ^ []))], (618 ^ _105967) ^ [] : [empty(616 ^ [])], (620 ^ _105967) ^ [] : [-(relation(616 ^ []))], (623 ^ _105967) ^ [_125233] : [-(element(621 ^ [_125233], powerset(_125233)))], (625 ^ _105967) ^ [_125284] : [-(empty(621 ^ [_125284]))], (628 ^ _105967) ^ [] : [empty(626 ^ [])], (631 ^ _105967) ^ [] : [-(element(629 ^ [], positive_rationals))], (633 ^ _105967) ^ [] : [-(empty(629 ^ []))], (635 ^ _105967) ^ [] : [-(epsilon_transitive(629 ^ []))], (637 ^ _105967) ^ [] : [-(epsilon_connected(629 ^ []))], (639 ^ _105967) ^ [] : [-(ordinal(629 ^ []))], (641 ^ _105967) ^ [] : [-(natural(629 ^ []))], (643 ^ _105967) ^ [_125863] : [-(empty(_125863)), 647 ^ _105967 : [(648 ^ _105967) ^ [] : [-(element(646 ^ [_125863], powerset(_125863)))], (650 ^ _105967) ^ [] : [empty(646 ^ [_125863])], (652 ^ _105967) ^ [] : [-(finite(646 ^ [_125863]))]]], (655 ^ _105967) ^ [] : [-(relation(653 ^ []))], (657 ^ _105967) ^ [] : [-(function(653 ^ []))], (659 ^ _105967) ^ [] : [-(one_to_one(653 ^ []))], (662 ^ _105967) ^ [] : [empty(660 ^ [])], (664 ^ _105967) ^ [] : [-(epsilon_transitive(660 ^ []))], (666 ^ _105967) ^ [] : [-(epsilon_connected(660 ^ []))], (668 ^ _105967) ^ [] : [-(ordinal(660 ^ []))], (671 ^ _105967) ^ [] : [-(relation(669 ^ []))], (673 ^ _105967) ^ [] : [-(relation_empty_yielding(669 ^ []))], (676 ^ _105967) ^ [] : [-(relation(674 ^ []))], (678 ^ _105967) ^ [] : [-(relation_empty_yielding(674 ^ []))], (680 ^ _105967) ^ [] : [-(function(674 ^ []))], (683 ^ _105967) ^ [] : [-(relation(681 ^ []))], (685 ^ _105967) ^ [] : [-(function(681 ^ []))], (687 ^ _105967) ^ [] : [-(transfinite_sequence(681 ^ []))], (690 ^ _105967) ^ [] : [-(relation(688 ^ []))], (692 ^ _105967) ^ [] : [-(relation_non_empty(688 ^ []))], (694 ^ _105967) ^ [] : [-(function(688 ^ []))], (696 ^ _105967) ^ [_127529, _127531] : [-(subset(_127531, _127531))], (698 ^ _105967) ^ [_127624] : [relation(_127624), -(relation_image(_127624, relation_dom(_127624)) = relation_rng(_127624))], (704 ^ _105967) ^ [_127840, _127842] : [relation(_127840), function(_127840), finite(_127842), -(finite(relation_image(_127840, _127842)))], (718 ^ _105967) ^ [_128228, _128230] : [in(_128230, _128228), -(element(_128230, _128228))], (724 ^ _105967) ^ [_128438, _128440] : [element(_128440, _128438), -(empty(_128438)), -(in(_128440, _128438))], (734 ^ _105967) ^ [_128765, _128767] : [element(_128767, powerset(_128765)), -(subset(_128767, _128765))], (740 ^ _105967) ^ [_128931, _128933] : [subset(_128933, _128931), -(element(_128933, powerset(_128931)))], (746 ^ _105967) ^ [_129161, _129163, _129165] : [-(element(_129165, _129161)), in(_129165, _129163), element(_129163, powerset(_129161))], (756 ^ _105967) ^ [_129488, _129490, _129492] : [in(_129492, _129490), element(_129490, powerset(_129488)), empty(_129488)], (766 ^ _105967) ^ [_129784] : [empty(_129784), -(_129784 = empty_set)], (772 ^ _105967) ^ [_129986, _129988] : [in(_129988, _129986), empty(_129986)], (778 ^ _105967) ^ [_130173, _130175] : [empty(_130175), -(_130175 = _130173), empty(_130173)]], input).
% 5.23/5.51  ncf('1',plain,[finite(relation_rng(787 ^ []))],start(795 ^ 0)).
% 5.23/5.51  ncf('1.1',plain,[-(finite(relation_rng(787 ^ []))), 316 : element(relation_rng(787 ^ []), powerset(relation_image(787 ^ [], relation_dom(787 ^ [])))), 316 : finite(relation_image(787 ^ [], relation_dom(787 ^ [])))],extension(312 ^ 1,bind([[_115834, _115966], [relation_image(787 ^ [], relation_dom(787 ^ [])), relation_rng(787 ^ [])]]))).
% 5.23/5.51  ncf('1.1.1',plain,[-(element(relation_rng(787 ^ []), powerset(relation_image(787 ^ [], relation_dom(787 ^ []))))), subset(relation_rng(787 ^ []), relation_image(787 ^ [], relation_dom(787 ^ [])))],extension(740 ^ 4,bind([[_128931, _128933], [relation_image(787 ^ [], relation_dom(787 ^ [])), relation_rng(787 ^ [])]]))).
% 5.23/5.51  ncf('1.1.1.1',plain,[-(subset(relation_rng(787 ^ []), relation_image(787 ^ [], relation_dom(787 ^ [])))), subset(relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ []))), relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_rng(787 ^ []), relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ []))],extension(140 ^ 5,bind([[_110303, _110305, _110307, _110309], [relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])), relation_rng(787 ^ []), relation_image(787 ^ [], relation_dom(787 ^ []))]]))).
% 5.23/5.51  ncf('1.1.1.1.1',plain,[-(subset(relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])))), subset(relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ []))), relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ []))],extension(140 ^ 6,bind([[_110303, _110305, _110307, _110309], [relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ []))]]))).
% 5.23/5.51  ncf('1.1.1.1.1.1',plain,[-(subset(relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])))), subset(relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ []))), relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ []))],extension(140 ^ 7,bind([[_110303, _110305, _110307, _110309], [relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ []))]]))).
% 5.23/5.51  ncf('1.1.1.1.1.1.1',plain,[-(subset(relation_image(787 ^ [], relation_dom(787 ^ [])), relation_image(787 ^ [], relation_dom(787 ^ []))))],extension(696 ^ 8,bind([[_127529, _127531], [_77262, relation_image(787 ^ [], relation_dom(787 ^ []))]]))).
% 5.23/5.51  ncf('1.1.1.1.1.1.2',plain,[-(relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ [])))],extension(2 ^ 8,bind([[_106111], [relation_image(787 ^ [], relation_dom(787 ^ []))]]))).
% 5.23/5.51  ncf('1.1.1.1.1.1.3',plain,[-(relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ [])))],extension(2 ^ 8,bind([[_106111], [relation_image(787 ^ [], relation_dom(787 ^ []))]]))).
% 5.23/5.51  ncf('1.1.1.1.1.2',plain,[-(relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ []))), 787 ^ [] = 787 ^ [], relation_dom(787 ^ []) = relation_dom(787 ^ [])],extension(222 ^ 7,bind([[_112873, _112875, _112877, _112879], [relation_dom(787 ^ []), relation_dom(787 ^ []), 787 ^ [], 787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.1.2.1',plain,[-(787 ^ [] = 787 ^ [])],extension(2 ^ 8,bind([[_106111], [787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.1.2.2',plain,[-(relation_dom(787 ^ []) = relation_dom(787 ^ []))],extension(2 ^ 8,bind([[_106111], [relation_dom(787 ^ [])]]))).
% 5.23/5.51  ncf('1.1.1.1.1.3',plain,[-(relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ []))), 787 ^ [] = 787 ^ [], relation_dom(787 ^ []) = relation_dom(787 ^ [])],extension(222 ^ 7,bind([[_112873, _112875, _112877, _112879], [relation_dom(787 ^ []), relation_dom(787 ^ []), 787 ^ [], 787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.1.3.1',plain,[-(787 ^ [] = 787 ^ [])],extension(2 ^ 8,bind([[_106111], [787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.1.3.2',plain,[-(relation_dom(787 ^ []) = relation_dom(787 ^ []))],extension(2 ^ 8,bind([[_106111], [relation_dom(787 ^ [])]]))).
% 5.23/5.51  ncf('1.1.1.1.2',plain,[-(relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_rng(787 ^ [])), relation(787 ^ [])],extension(698 ^ 6,bind([[_127624], [787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.2.1',plain,[-(relation(787 ^ []))],extension(789 ^ 7)).
% 5.23/5.51  ncf('1.1.1.1.3',plain,[-(relation_image(787 ^ [], relation_dom(787 ^ [])) = relation_image(787 ^ [], relation_dom(787 ^ []))), 787 ^ [] = 787 ^ [], relation_dom(787 ^ []) = relation_dom(787 ^ [])],extension(222 ^ 6,bind([[_112873, _112875, _112877, _112879], [relation_dom(787 ^ []), relation_dom(787 ^ []), 787 ^ [], 787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.3.1',plain,[-(787 ^ [] = 787 ^ [])],extension(2 ^ 7,bind([[_106111], [787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.3.2',plain,[-(relation_dom(787 ^ []) = relation_dom(787 ^ [])), 787 ^ [] = 787 ^ []],extension(238 ^ 7,bind([[_113422, _113424], [787 ^ [], 787 ^ []]]))).
% 5.23/5.51  ncf('1.1.1.1.3.2.1',plain,[-(787 ^ [] = 787 ^ [])],extension(2 ^ 8,bind([[_106111], [787 ^ []]]))).
% 5.23/5.51  ncf('1.1.2',plain,[-(finite(relation_image(787 ^ [], relation_dom(787 ^ [])))), relation(787 ^ []), function(787 ^ []), finite(relation_dom(787 ^ []))],extension(385 ^ 2,bind([[_118041, _118043], [relation_dom(787 ^ []), 787 ^ []]]))).
% 5.23/5.51  ncf('1.1.2.1',plain,[-(relation(787 ^ []))],extension(789 ^ 3)).
% 5.23/5.51  ncf('1.1.2.2',plain,[-(function(787 ^ []))],extension(791 ^ 3)).
% 5.23/5.51  ncf('1.1.2.3',plain,[-(finite(relation_dom(787 ^ [])))],extension(793 ^ 3)).
% 5.23/5.51  %-----------------------------------------------------
% 5.23/5.51  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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