%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:02:32 EDT 2023

% Result   : Theorem 0.58s 1.37s
% Output   : Proof 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May 18 13:59:28 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.58/1.37  
% 0.58/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.58/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.37  %-----------------------------------------------------
% 0.58/1.37  ncf(matrix, plain, [(1816 ^ _250310) ^ [] : [-(relation(1814 ^ []))], (1818 ^ _250310) ^ [] : [-(in(ordered_pair(1812 ^ [], 1813 ^ []), 1814 ^ []))], (1820 ^ _250310) ^ [] : [in(1812 ^ [], relation_dom(1814 ^ [])), in(1813 ^ [], relation_rng(1814 ^ []))], (2 ^ _250310) ^ [_250454] : [-(_250454 = _250454)], (4 ^ _250310) ^ [_250561, _250563] : [_250563 = _250561, -(_250561 = _250563)], (10 ^ _250310) ^ [_250765, _250767, _250769] : [-(_250769 = _250765), _250769 = _250767, _250767 = _250765], (20 ^ _250310) ^ [_251106, _251108, _251110, _251112] : [-(element(_251110, _251106)), element(_251112, _251108), _251112 = _251110, _251108 = _251106], (34 ^ _250310) ^ [_251550, _251552, _251554, _251556] : [-(proper_subset(_251554, _251550)), proper_subset(_251556, _251552), _251556 = _251554, _251552 = _251550], (48 ^ _250310) ^ [_251994, _251996, _251998, _252000] : [-(disjoint(_251998, _251994)), disjoint(_252000, _251996), _252000 = _251998, _251996 = _251994], (62 ^ _250310) ^ [_252410, _252412] : [-(empty(_252410)), _252412 = _252410, empty(_252412)], (72 ^ _250310) ^ [_252733, _252735, _252737, _252739] : [-(subset(_252737, _252733)), subset(_252739, _252735), _252739 = _252737, _252735 = _252733], (86 ^ _250310) ^ [_253177, _253179, _253181, _253183] : [-(are_equipotent(_253181, _253177)), are_equipotent(_253183, _253179), _253183 = _253181, _253179 = _253177], (100 ^ _250310) ^ [_253593, _253595] : [-(relation(_253593)), _253595 = _253593, relation(_253595)], (110 ^ _250310) ^ [_253896, _253898, _253900, _253902] : [-(in(_253900, _253896)), in(_253902, _253898), _253902 = _253900, _253898 = _253896], (124 ^ _250310) ^ [_254332, _254334] : [_254334 = _254332, -(set_meet(_254334) = set_meet(_254332))], (130 ^ _250310) ^ [_254578, _254580, _254582, _254584] : [-(cartesian_product2(_254584, _254580) = cartesian_product2(_254582, _254578)), _254584 = _254582, _254580 = _254578], (140 ^ _250310) ^ [_254937, _254939, _254941, _254943] : [-(union_of_subsets(_254943, _254939) = union_of_subsets(_254941, _254937)), _254943 = _254941, _254939 = _254937], (150 ^ _250310) ^ [_255296, _255298, _255300, _255302] : [-(complements_of_subsets(_255302, _255298) = complements_of_subsets(_255300, _255296)), _255302 = _255300, _255298 = _255296], (160 ^ _250310) ^ [_255683, _255685, _255687, _255689, _255691, _255693] : [-(subset_difference(_255693, _255689, _255685) = subset_difference(_255691, _255687, _255683)), _255693 = _255691, _255689 = _255687, _255685 = _255683], (174 ^ _250310) ^ [_256143, _256145] : [_256145 = _256143, -(cast_to_subset(_256145) = cast_to_subset(_256143))], (180 ^ _250310) ^ [_256389, _256391, _256393, _256395] : [-(meet_of_subsets(_256395, _256391) = meet_of_subsets(_256393, _256389)), _256395 = _256393, _256391 = _256389], (190 ^ _250310) ^ [_256748, _256750, _256752, _256754] : [-(set_intersection2(_256754, _256750) = set_intersection2(_256752, _256748)), _256754 = _256752, _256750 = _256748], (200 ^ _250310) ^ [_257107, _257109, _257111, _257113] : [-(subset_complement(_257113, _257109) = subset_complement(_257111, _257107)), _257113 = _257111, _257109 = _257107], (210 ^ _250310) ^ [_257466, _257468, _257470, _257472] : [-(set_difference(_257472, _257468) = set_difference(_257470, _257466)), _257472 = _257470, _257468 = _257466], (220 ^ _250310) ^ [_257825, _257827, _257829, _257831] : [-(set_union2(_257831, _257827) = set_union2(_257829, _257825)), _257831 = _257829, _257827 = _257825], (230 ^ _250310) ^ [_258156, _258158] : [_258158 = _258156, -(union(_258158) = union(_258156))], (236 ^ _250310) ^ [_258374, _258376] : [_258376 = _258374, -(powerset(_258376) = powerset(_258374))], (242 ^ _250310) ^ [_258592, _258594] : [_258594 = _258592, -(singleton(_258594) = singleton(_258592))], (248 ^ _250310) ^ [_258838, _258840, _258842, _258844] : [-(unordered_pair(_258844, _258840) = unordered_pair(_258842, _258838)), _258844 = _258842, _258840 = _258838], (258 ^ _250310) ^ [_259197, _259199, _259201, _259203] : [-(ordered_pair(_259203, _259199) = ordered_pair(_259201, _259197)), _259203 = _259201, _259199 = _259197], (268 ^ _250310) ^ [_259528, _259530] : [_259530 = _259528, -(relation_dom(_259530) = relation_dom(_259528))], (274 ^ _250310) ^ [_259726, _259728] : [_259728 = _259726, -(relation_rng(_259728) = relation_rng(_259726))], (280 ^ _250310) ^ [_260032, _260034] : [in(_260034, _260032), in(_260032, _260034)], (286 ^ _250310) ^ [_260243, _260245] : [proper_subset(_260245, _260243), proper_subset(_260243, _260245)], (292 ^ _250310) ^ [_260439, _260441] : [-(unordered_pair(_260441, _260439) = unordered_pair(_260439, _260441))], (294 ^ _250310) ^ [_260539, _260541] : [-(set_union2(_260541, _260539) = set_union2(_260539, _260541))], (296 ^ _250310) ^ [_260639, _260641] : [-(set_intersection2(_260641, _260639) = set_intersection2(_260639, _260641))], (298 ^ _250310) ^ [_260783, _260785] : [_260785 = _260783, 301 ^ _250310 : [(302 ^ _250310) ^ [] : [-(subset(_260785, _260783))], (304 ^ _250310) ^ [] : [-(subset(_260783, _260785))]]], (306 ^ _250310) ^ [_261020, _261022] : [-(_261022 = _261020), subset(_261022, _261020), subset(_261020, _261022)], (365 ^ _250310) ^ [_263048, _263050] : [_263050 = empty_set, 368 ^ _250310 : [(369 ^ _250310) ^ [] : [_263048 = set_meet(_263050), -(_263048 = empty_set)], (375 ^ _250310) ^ [] : [_263048 = empty_set, -(_263048 = set_meet(_263050))]]], (316 ^ _250310) ^ [_261341, _261343] : [-(_261343 = empty_set), 319 ^ _250310 : [(343 ^ _250310) ^ [] : [-(_261341 = set_meet(_261343)), 347 ^ _250310 : [(348 ^ _250310) ^ [] : [-(in(344 ^ [_261341, _261343], _261341))], (351 ^ _250310) ^ [] : [-(in(349 ^ [_261341, _261343], _261343))], (353 ^ _250310) ^ [] : [in(344 ^ [_261341, _261343], 349 ^ [_261341, _261343])]], 354 ^ _250310 : [(361 ^ _250310) ^ [] : [in(344 ^ [_261341, _261343], _261341)], (355 ^ _250310) ^ [_262743] : [in(_262743, _261343), -(in(344 ^ [_261341, _261343], _262743))]]], (320 ^ _250310) ^ [] : [_261341 = set_meet(_261343), 323 ^ _250310 : [(334 ^ _250310) ^ [_261969] : [336 ^ _250310 : [(337 ^ _250310) ^ [] : [-(in(335 ^ [_261341, _261343, _261969], _261343))], (339 ^ _250310) ^ [] : [in(_261969, 335 ^ [_261341, _261343, _261969])]], -(in(_261969, _261341))], (324 ^ _250310) ^ [_261639] : [in(_261639, _261341), 327 ^ _250310 : [(328 ^ _250310) ^ [_261784] : [in(_261784, _261343), -(in(_261639, _261784))]]]]]]], (397 ^ _250310) ^ [_264066, _264068] : [-(_264066 = singleton(_264068)), 401 ^ _250310 : [(402 ^ _250310) ^ [] : [-(in(398 ^ [_264066, _264068], _264066))], (404 ^ _250310) ^ [] : [398 ^ [_264066, _264068] = _264068]], 405 ^ _250310 : [(406 ^ _250310) ^ [] : [-(398 ^ [_264066, _264068] = _264068)], (408 ^ _250310) ^ [] : [in(398 ^ [_264066, _264068], _264066)]]], (381 ^ _250310) ^ [_263545, _263547] : [_263545 = singleton(_263547), 384 ^ _250310 : [(385 ^ _250310) ^ [_263715] : [in(_263715, _263545), -(_263715 = _263547)], (391 ^ _250310) ^ [_263887] : [_263887 = _263547, -(in(_263887, _263545))]]], (412 ^ _250310) ^ [_264617] : [_264617 = empty_set, 415 ^ _250310 : [(416 ^ _250310) ^ [_264730] : [in(_264730, _264617)]]], (418 ^ _250310) ^ [_264796] : [-(in(419 ^ [_264796], _264796)), -(_264796 = empty_set)], (441 ^ _250310) ^ [_265608, _265610] : [-(_265608 = powerset(_265610)), 445 ^ _250310 : [(446 ^ _250310) ^ [] : [-(in(442 ^ [_265608, _265610], _265608))], (448 ^ _250310) ^ [] : [subset(442 ^ [_265608, _265610], _265610)]], 449 ^ _250310 : [(450 ^ _250310) ^ [] : [-(subset(442 ^ [_265608, _265610], _265610))], (452 ^ _250310) ^ [] : [in(442 ^ [_265608, _265610], _265608)]]], (425 ^ _250310) ^ [_265087, _265089] : [_265087 = powerset(_265089), 428 ^ _250310 : [(429 ^ _250310) ^ [_265257] : [in(_265257, _265087), -(subset(_265257, _265089))], (435 ^ _250310) ^ [_265429] : [subset(_265429, _265089), -(in(_265429, _265087))]]], (456 ^ _250310) ^ [_266164, _266166] : [-(empty(_266166)), 459 ^ _250310 : [(460 ^ _250310) ^ [] : [element(_266164, _266166), -(in(_266164, _266166))], (466 ^ _250310) ^ [] : [in(_266164, _266166), -(element(_266164, _266166))]]], (472 ^ _250310) ^ [_266577, _266579] : [empty(_266579), 475 ^ _250310 : [(476 ^ _250310) ^ [] : [element(_266577, _266579), -(empty(_266577))], (482 ^ _250310) ^ [] : [empty(_266577), -(element(_266577, _266579))]]], (510 ^ _250310) ^ [_267802, _267804, _267806] : [-(_267802 = unordered_pair(_267806, _267804)), 514 ^ _250310 : [(515 ^ _250310) ^ [] : [-(in(511 ^ [_267802, _267804, _267806], _267802))], (517 ^ _250310) ^ [] : [511 ^ [_267802, _267804, _267806] = _267806], (519 ^ _250310) ^ [] : [511 ^ [_267802, _267804, _267806] = _267804]], 520 ^ _250310 : [(527 ^ _250310) ^ [] : [in(511 ^ [_267802, _267804, _267806], _267802)], (521 ^ _250310) ^ [] : [-(511 ^ [_267802, _267804, _267806] = _267806), -(511 ^ [_267802, _267804, _267806] = _267804)]]], (488 ^ _250310) ^ [_267077, _267079, _267081] : [_267077 = unordered_pair(_267081, _267079), 491 ^ _250310 : [(502 ^ _250310) ^ [_267537] : [503 ^ _250310 : [(504 ^ _250310) ^ [] : [_267537 = _267081], (506 ^ _250310) ^ [] : [_267537 = _267079]], -(in(_267537, _267077))], (492 ^ _250310) ^ [_267259] : [in(_267259, _267077), -(_267259 = _267081), -(_267259 = _267079)]]], (553 ^ _250310) ^ [_269321, _269323, _269325] : [-(_269321 = set_union2(_269325, _269323)), 557 ^ _250310 : [(558 ^ _250310) ^ [] : [-(in(554 ^ [_269321, _269323, _269325], _269321))], (560 ^ _250310) ^ [] : [in(554 ^ [_269321, _269323, _269325], _269325)], (562 ^ _250310) ^ [] : [in(554 ^ [_269321, _269323, _269325], _269323)]], 563 ^ _250310 : [(570 ^ _250310) ^ [] : [in(554 ^ [_269321, _269323, _269325], _269321)], (564 ^ _250310) ^ [] : [-(in(554 ^ [_269321, _269323, _269325], _269325)), -(in(554 ^ [_269321, _269323, _269325], _269323))]]], (531 ^ _250310) ^ [_268596, _268598, _268600] : [_268596 = set_union2(_268600, _268598), 534 ^ _250310 : [(545 ^ _250310) ^ [_269056] : [546 ^ _250310 : [(547 ^ _250310) ^ [] : [in(_269056, _268600)], (549 ^ _250310) ^ [] : [in(_269056, _268598)]], -(in(_269056, _268596))], (535 ^ _250310) ^ [_268778] : [in(_268778, _268596), -(in(_268778, _268600)), -(in(_268778, _268598))]]], (604 ^ _250310) ^ [_271372, _271374, _271376] : [-(_271372 = cartesian_product2(_271376, _271374)), 622 ^ _250310 : [(623 ^ _250310) ^ [] : [-(in(620 ^ [_271372, _271374, _271376], _271376))], (625 ^ _250310) ^ [] : [-(in(621 ^ [_271372, _271374, _271376], _271374))], (627 ^ _250310) ^ [] : [-(605 ^ [_271372, _271374, _271376] = ordered_pair(620 ^ [_271372, _271374, _271376], 621 ^ [_271372, _271374, _271376]))], (629 ^ _250310) ^ [] : [in(605 ^ [_271372, _271374, _271376], _271372)]], 608 ^ _250310 : [(609 ^ _250310) ^ [] : [-(in(605 ^ [_271372, _271374, _271376], _271372))], (611 ^ _250310) ^ [_271710, _271712] : [in(_271712, _271376), in(_271710, _271374), 605 ^ [_271372, _271374, _271376] = ordered_pair(_271712, _271710)]]], (574 ^ _250310) ^ [_270115, _270117, _270119] : [_270115 = cartesian_product2(_270119, _270117), 577 ^ _250310 : [(578 ^ _250310) ^ [_270316] : [in(_270316, _270115), 583 ^ _250310 : [(584 ^ _250310) ^ [] : [-(in(581 ^ [_270115, _270117, _270119, _270316], _270119))], (586 ^ _250310) ^ [] : [-(in(582 ^ [_270115, _270117, _270119, _270316], _270117))], (588 ^ _250310) ^ [] : [-(_270316 = ordered_pair(581 ^ [_270115, _270117, _270119, _270316], 582 ^ [_270115, _270117, _270119, _270316]))]]], (590 ^ _250310) ^ [_270876] : [-(in(_270876, _270115)), 591 ^ _250310 : [(592 ^ _250310) ^ [_271006, _271008] : [in(_271008, _270119), in(_271006, _270117), _270876 = ordered_pair(_271008, _271006)]]]]], (643 ^ _250310) ^ [_272963, _272965] : [645 ^ _250310 : [(646 ^ _250310) ^ [] : [-(in(644 ^ [_272963, _272965], _272965))], (648 ^ _250310) ^ [] : [in(644 ^ [_272963, _272965], _272963)]], -(subset(_272965, _272963))], (633 ^ _250310) ^ [_272649, _272651] : [subset(_272651, _272649), 636 ^ _250310 : [(637 ^ _250310) ^ [_272786] : [in(_272786, _272651), -(in(_272786, _272649))]]], (674 ^ _250310) ^ [_274088, _274090, _274092] : [-(_274088 = set_intersection2(_274092, _274090)), 686 ^ _250310 : [(687 ^ _250310) ^ [] : [-(in(675 ^ [_274088, _274090, _274092], _274092))], (689 ^ _250310) ^ [] : [-(in(675 ^ [_274088, _274090, _274092], _274090))], (691 ^ _250310) ^ [] : [in(675 ^ [_274088, _274090, _274092], _274088)]], 678 ^ _250310 : [(679 ^ _250310) ^ [] : [-(in(675 ^ [_274088, _274090, _274092], _274088))], (681 ^ _250310) ^ [] : [in(675 ^ [_274088, _274090, _274092], _274092), in(675 ^ [_274088, _274090, _274092], _274090)]]], (652 ^ _250310) ^ [_273363, _273365, _273367] : [_273363 = set_intersection2(_273367, _273365), 655 ^ _250310 : [(656 ^ _250310) ^ [_273545] : [in(_273545, _273363), 659 ^ _250310 : [(660 ^ _250310) ^ [] : [-(in(_273545, _273367))], (662 ^ _250310) ^ [] : [-(in(_273545, _273365))]]], (664 ^ _250310) ^ [_273804] : [-(in(_273804, _273363)), in(_273804, _273367), in(_273804, _273365)]]], (695 ^ _250310) ^ [_274827] : [relation(_274827), 698 ^ _250310 : [(716 ^ _250310) ^ [_275639] : [-(_275639 = relation_dom(_274827)), 720 ^ _250310 : [(721 ^ _250310) ^ [] : [-(in(717 ^ [_274827, _275639], _275639))], (723 ^ _250310) ^ [_275902] : [in(ordered_pair(717 ^ [_274827, _275639], _275902), _274827)]], 725 ^ _250310 : [(726 ^ _250310) ^ [] : [-(in(ordered_pair(717 ^ [_274827, _275639], 724 ^ [_274827, _275639]), _274827))], (728 ^ _250310) ^ [] : [in(717 ^ [_274827, _275639], _275639)]]], (699 ^ _250310) ^ [_275008] : [_275008 = relation_dom(_274827), 702 ^ _250310 : [(703 ^ _250310) ^ [_275188] : [in(_275188, _275008), -(in(ordered_pair(_275188, 706 ^ [_274827, _275008, _275188]), _274827))], (710 ^ _250310) ^ [_275432] : [711 ^ _250310 : [(712 ^ _250310) ^ [_275511] : [in(ordered_pair(_275432, _275511), _274827)]], -(in(_275432, _275008))]]]]], (732 ^ _250310) ^ [_276253] : [-(cast_to_subset(_276253) = _276253)], (757 ^ _250310) ^ [_277236, _277238] : [-(_277236 = union(_277238)), 770 ^ _250310 : [(771 ^ _250310) ^ [] : [-(in(758 ^ [_277236, _277238], 769 ^ [_277236, _277238]))], (773 ^ _250310) ^ [] : [-(in(769 ^ [_277236, _277238], _277238))], (775 ^ _250310) ^ [] : [in(758 ^ [_277236, _277238], _277236)]], 761 ^ _250310 : [(762 ^ _250310) ^ [] : [-(in(758 ^ [_277236, _277238], _277236))], (764 ^ _250310) ^ [_277519] : [in(758 ^ [_277236, _277238], _277519), in(_277519, _277238)]]], (734 ^ _250310) ^ [_276391, _276393] : [_276391 = union(_276393), 737 ^ _250310 : [(738 ^ _250310) ^ [_276572] : [in(_276572, _276391), 742 ^ _250310 : [(743 ^ _250310) ^ [] : [-(in(_276572, 741 ^ [_276391, _276393, _276572]))], (745 ^ _250310) ^ [] : [-(in(741 ^ [_276391, _276393, _276572], _276393))]]], (747 ^ _250310) ^ [_276899] : [-(in(_276899, _276391)), 748 ^ _250310 : [(749 ^ _250310) ^ [_276997] : [in(_276899, _276997), in(_276997, _276393)]]]]], (801 ^ _250310) ^ [_278857, _278859, _278861] : [-(_278857 = set_difference(_278861, _278859)), 813 ^ _250310 : [(814 ^ _250310) ^ [] : [-(in(802 ^ [_278857, _278859, _278861], _278861))], (816 ^ _250310) ^ [] : [in(802 ^ [_278857, _278859, _278861], _278859)], (818 ^ _250310) ^ [] : [in(802 ^ [_278857, _278859, _278861], _278857)]], 805 ^ _250310 : [(806 ^ _250310) ^ [] : [-(in(802 ^ [_278857, _278859, _278861], _278857))], (808 ^ _250310) ^ [] : [in(802 ^ [_278857, _278859, _278861], _278861), -(in(802 ^ [_278857, _278859, _278861], _278859))]]], (779 ^ _250310) ^ [_278126, _278128, _278130] : [_278126 = set_difference(_278130, _278128), 782 ^ _250310 : [(783 ^ _250310) ^ [_278310] : [in(_278310, _278126), 786 ^ _250310 : [(787 ^ _250310) ^ [] : [-(in(_278310, _278130))], (789 ^ _250310) ^ [] : [in(_278310, _278128)]]], (791 ^ _250310) ^ [_278570] : [-(in(_278570, _278126)), in(_278570, _278130), -(in(_278570, _278128))]]], (822 ^ _250310) ^ [_279600] : [relation(_279600), 825 ^ _250310 : [(843 ^ _250310) ^ [_280412] : [-(_280412 = relation_rng(_279600)), 847 ^ _250310 : [(848 ^ _250310) ^ [] : [-(in(844 ^ [_279600, _280412], _280412))], (850 ^ _250310) ^ [_280675] : [in(ordered_pair(_280675, 844 ^ [_279600, _280412]), _279600)]], 852 ^ _250310 : [(853 ^ _250310) ^ [] : [-(in(ordered_pair(851 ^ [_279600, _280412], 844 ^ [_279600, _280412]), _279600))], (855 ^ _250310) ^ [] : [in(844 ^ [_279600, _280412], _280412)]]], (826 ^ _250310) ^ [_279781] : [_279781 = relation_rng(_279600), 829 ^ _250310 : [(830 ^ _250310) ^ [_279961] : [in(_279961, _279781), -(in(ordered_pair(833 ^ [_279600, _279781, _279961], _279961), _279600))], (837 ^ _250310) ^ [_280205] : [838 ^ _250310 : [(839 ^ _250310) ^ [_280284] : [in(ordered_pair(_280284, _280205), _279600)]], -(in(_280205, _279781))]]]]], (859 ^ _250310) ^ [_281055, _281057] : [element(_281055, powerset(_281057)), -(subset_complement(_281057, _281055) = set_difference(_281057, _281055))], (865 ^ _250310) ^ [_281266, _281268] : [-(ordered_pair(_281268, _281266) = unordered_pair(unordered_pair(_281268, _281266), singleton(_281268)))], (867 ^ _250310) ^ [_281415, _281417] : [disjoint(_281417, _281415), -(set_intersection2(_281417, _281415) = empty_set)], (873 ^ _250310) ^ [_281583, _281585] : [set_intersection2(_281585, _281583) = empty_set, -(disjoint(_281585, _281583))], (879 ^ _250310) ^ [_281801, _281803] : [element(_281801, powerset(powerset(_281803))), 882 ^ _250310 : [(883 ^ _250310) ^ [_281981] : [element(_281981, powerset(powerset(_281803))), 886 ^ _250310 : [(907 ^ _250310) ^ [] : [-(_281981 = complements_of_subsets(_281803, _281801)), 909 ^ _250310 : [(910 ^ _250310) ^ [] : [-(element(908 ^ [_281801, _281803, _281981], powerset(_281803)))], (912 ^ _250310) ^ [] : [913 ^ _250310 : [(914 ^ _250310) ^ [] : [-(in(908 ^ [_281801, _281803, _281981], _281981))], (916 ^ _250310) ^ [] : [in(subset_complement(_281803, 908 ^ [_281801, _281803, _281981]), _281801)]], 917 ^ _250310 : [(918 ^ _250310) ^ [] : [-(in(subset_complement(_281803, 908 ^ [_281801, _281803, _281981]), _281801))], (920 ^ _250310) ^ [] : [in(908 ^ [_281801, _281803, _281981], _281981)]]]]], (887 ^ _250310) ^ [] : [_281981 = complements_of_subsets(_281803, _281801), 890 ^ _250310 : [(891 ^ _250310) ^ [_282269] : [element(_282269, powerset(_281803)), 894 ^ _250310 : [(895 ^ _250310) ^ [] : [in(_282269, _281981), -(in(subset_complement(_281803, _282269), _281801))], (901 ^ _250310) ^ [] : [in(subset_complement(_281803, _282269), _281801), -(in(_282269, _281981))]]]]]]]]], (924 ^ _250310) ^ [_283392, _283394] : [proper_subset(_283394, _283392), 927 ^ _250310 : [(928 ^ _250310) ^ [] : [-(subset(_283394, _283392))], (930 ^ _250310) ^ [] : [_283394 = _283392]]], (932 ^ _250310) ^ [_283630, _283632] : [-(proper_subset(_283632, _283630)), subset(_283632, _283630), -(_283632 = _283630)], (942 ^ _250310) ^ [] : [true___, -(true___)], (948 ^ _250310) ^ [] : [true___, -(true___)], (954 ^ _250310) ^ [] : [true___, -(true___)], (960 ^ _250310) ^ [] : [true___, -(true___)], (966 ^ _250310) ^ [] : [true___, -(true___)], (972 ^ _250310) ^ [] : [true___, -(true___)], (978 ^ _250310) ^ [_284619] : [-(element(cast_to_subset(_284619), powerset(_284619)))], (980 ^ _250310) ^ [] : [true___, -(true___)], (986 ^ _250310) ^ [] : [true___, -(true___)], (992 ^ _250310) ^ [] : [true___, -(true___)], (998 ^ _250310) ^ [_285087, _285089] : [element(_285087, powerset(_285089)), -(element(subset_complement(_285089, _285087), powerset(_285089)))], (1004 ^ _250310) ^ [] : [true___, -(true___)], (1010 ^ _250310) ^ [] : [true___, -(true___)], (1016 ^ _250310) ^ [] : [true___, -(true___)], (1022 ^ _250310) ^ [] : [true___, -(true___)], (1028 ^ _250310) ^ [_285787, _285789] : [element(_285787, powerset(powerset(_285789))), -(element(union_of_subsets(_285789, _285787), powerset(_285789)))], (1034 ^ _250310) ^ [_286015, _286017] : [element(_286015, powerset(powerset(_286017))), -(element(meet_of_subsets(_286017, _286015), powerset(_286017)))], (1040 ^ _250310) ^ [_286257, _286259, _286261] : [-(element(subset_difference(_286261, _286259, _286257), powerset(_286261))), element(_286259, powerset(_286261)), element(_286257, powerset(_286261))], (1050 ^ _250310) ^ [_286586, _286588] : [element(_286586, powerset(powerset(_286588))), -(element(complements_of_subsets(_286588, _286586), powerset(powerset(_286588))))], (1056 ^ _250310) ^ [] : [true___, -(true___)], (1063 ^ _250310) ^ [_286947] : [-(element(1061 ^ [_286947], _286947))], (1065 ^ _250310) ^ [_287029] : [empty(powerset(_287029))], (1067 ^ _250310) ^ [] : [-(empty(empty_set))], (1069 ^ _250310) ^ [_287174, _287176] : [empty(ordered_pair(_287176, _287174))], (1071 ^ _250310) ^ [_287255] : [empty(singleton(_287255))], (1073 ^ _250310) ^ [_287363, _287365] : [-(empty(_287365)), empty(set_union2(_287365, _287363))], (1079 ^ _250310) ^ [_287563, _287565] : [empty(unordered_pair(_287565, _287563))], (1081 ^ _250310) ^ [_287674, _287676] : [-(empty(_287676)), empty(set_union2(_287674, _287676))], (1087 ^ _250310) ^ [_287875, _287877] : [-(set_union2(_287877, _287877) = _287877)], (1089 ^ _250310) ^ [_287972, _287974] : [-(set_intersection2(_287974, _287974) = _287974)], (1091 ^ _250310) ^ [_288084, _288086] : [element(_288084, powerset(_288086)), -(subset_complement(_288086, subset_complement(_288086, _288084)) = _288084)], (1097 ^ _250310) ^ [_288310, _288312] : [element(_288310, powerset(powerset(_288312))), -(complements_of_subsets(_288312, complements_of_subsets(_288312, _288310)) = _288310)], (1103 ^ _250310) ^ [_288524, _288526] : [proper_subset(_288526, _288526)], (1105 ^ _250310) ^ [_288603] : [singleton(_288603) = empty_set], (1107 ^ _250310) ^ [_288712, _288714] : [in(_288714, _288712), -(set_union2(singleton(_288714), _288712) = _288712)], (1113 ^ _250310) ^ [_288932, _288934] : [disjoint(singleton(_288934), _288932), in(_288934, _288932)], (1119 ^ _250310) ^ [_289145, _289147] : [-(in(_289147, _289145)), -(disjoint(singleton(_289147), _289145))], (1125 ^ _250310) ^ [_289391, _289393] : [subset(singleton(_289393), _289391), -(in(_289393, _289391))], (1131 ^ _250310) ^ [_289557, _289559] : [in(_289559, _289557), -(subset(singleton(_289559), _289557))], (1137 ^ _250310) ^ [_289802, _289804] : [set_difference(_289804, _289802) = empty_set, -(subset(_289804, _289802))], (1143 ^ _250310) ^ [_289970, _289972] : [subset(_289972, _289970), -(set_difference(_289972, _289970) = empty_set)], (1149 ^ _250310) ^ [_290188, _290190] : [element(_290188, powerset(_290190)), 1152 ^ _250310 : [(1153 ^ _250310) ^ [_290329] : [in(_290329, _290188), -(in(_290329, _290190))]]], (1159 ^ _250310) ^ [_290568, _290570, _290572] : [subset(_290572, _290570), -(in(_290568, _290572)), -(subset(_290572, set_difference(_290570, singleton(_290568))))], (1179 ^ _250310) ^ [_291177, _291179] : [1180 ^ _250310 : [(1181 ^ _250310) ^ [] : [_291179 = empty_set], (1183 ^ _250310) ^ [] : [_291179 = singleton(_291177)]], -(subset(_291179, singleton(_291177)))], (1169 ^ _250310) ^ [_290917, _290919] : [subset(_290919, singleton(_290917)), -(_290919 = empty_set), -(_290919 = singleton(_290917))], (1187 ^ _250310) ^ [_291471, _291473] : [in(_291473, _291471), -(subset(_291473, union(_291471)))], (1193 ^ _250310) ^ [_291742, _291744, _291746, _291748] : [in(ordered_pair(_291748, _291746), cartesian_product2(_291744, _291742)), 1196 ^ _250310 : [(1197 ^ _250310) ^ [] : [-(in(_291748, _291744))], (1199 ^ _250310) ^ [] : [-(in(_291746, _291742))]]], (1201 ^ _250310) ^ [_292007, _292009, _292011, _292013] : [-(in(ordered_pair(_292013, _292011), cartesian_product2(_292009, _292007))), in(_292013, _292009), in(_292011, _292007)], (1211 ^ _250310) ^ [_292340, _292342] : [1213 ^ _250310 : [(1214 ^ _250310) ^ [] : [-(in(1212 ^ [_292340, _292342], _292342))], (1216 ^ _250310) ^ [] : [in(1212 ^ [_292340, _292342], _292340)]], -(element(_292342, powerset(_292340)))], (1221 ^ _250310) ^ [] : [-(empty(1219 ^ []))], (1223 ^ _250310) ^ [] : [-(relation(1219 ^ []))], (1225 ^ _250310) ^ [_292834] : [-(empty(_292834)), 1229 ^ _250310 : [(1230 ^ _250310) ^ [] : [-(element(1228 ^ [_292834], powerset(_292834)))], (1232 ^ _250310) ^ [] : [empty(1228 ^ [_292834])]]], (1235 ^ _250310) ^ [] : [-(empty(1233 ^ []))], (1238 ^ _250310) ^ [_293306] : [-(element(1236 ^ [_293306], powerset(_293306)))], (1240 ^ _250310) ^ [_293357] : [-(empty(1236 ^ [_293357]))], (1243 ^ _250310) ^ [] : [empty(1241 ^ [])], (1245 ^ _250310) ^ [_293560, _293562] : [element(_293560, powerset(powerset(_293562))), -(union_of_subsets(_293562, _293560) = union(_293560))], (1251 ^ _250310) ^ [_293788, _293790] : [element(_293788, powerset(powerset(_293790))), -(meet_of_subsets(_293790, _293788) = set_meet(_293788))], (1257 ^ _250310) ^ [_294030, _294032, _294034] : [-(subset_difference(_294034, _294032, _294030) = set_difference(_294032, _294030)), element(_294032, powerset(_294034)), element(_294030, powerset(_294034))], (1267 ^ _250310) ^ [_294346, _294348] : [-(subset(_294348, _294348))], (1269 ^ _250310) ^ [_294455, _294457] : [disjoint(_294457, _294455), -(disjoint(_294455, _294457))], (1275 ^ _250310) ^ [_294722, _294724, _294726, _294728] : [in(ordered_pair(_294728, _294726), cartesian_product2(_294724, _294722)), 1278 ^ _250310 : [(1279 ^ _250310) ^ [] : [-(in(_294728, _294724))], (1281 ^ _250310) ^ [] : [-(in(_294726, _294722))]]], (1283 ^ _250310) ^ [_294987, _294989, _294991, _294993] : [-(in(ordered_pair(_294993, _294991), cartesian_product2(_294989, _294987))), in(_294993, _294989), in(_294991, _294987)], (1293 ^ _250310) ^ [_295348, _295350, _295352, _295354] : [unordered_pair(_295354, _295352) = unordered_pair(_295350, _295348), -(_295354 = _295350), -(_295354 = _295348)], (1303 ^ _250310) ^ [_295698, _295700, _295702] : [subset(_295702, _295700), 1306 ^ _250310 : [(1307 ^ _250310) ^ [] : [-(subset(cartesian_product2(_295702, _295698), cartesian_product2(_295700, _295698)))], (1309 ^ _250310) ^ [] : [-(subset(cartesian_product2(_295698, _295702), cartesian_product2(_295698, _295700)))]]], (1311 ^ _250310) ^ [_296043, _296045, _296047, _296049] : [-(subset(cartesian_product2(_296049, _296045), cartesian_product2(_296047, _296043))), subset(_296049, _296047), subset(_296045, _296043)], (1321 ^ _250310) ^ [_296374, _296376] : [subset(_296376, _296374), -(set_union2(_296376, _296374) = _296374)], (1328 ^ _250310) ^ [_296696] : [-(in(_296696, 1326 ^ [_296696]))], (1330 ^ _250310) ^ [_296808, _296810, _296812] : [-(in(_296808, 1326 ^ [_296812])), in(_296810, 1326 ^ [_296812]), subset(_296808, _296810)], (1340 ^ _250310) ^ [_297123, _297125] : [in(_297123, 1326 ^ [_297125]), -(in(powerset(_297123), 1326 ^ [_297125]))], (1346 ^ _250310) ^ [_297323, _297325] : [subset(_297323, 1326 ^ [_297325]), -(are_equipotent(_297323, 1326 ^ [_297325])), -(in(_297323, 1326 ^ [_297325]))], (1356 ^ _250310) ^ [_297648, _297650] : [-(subset(set_intersection2(_297650, _297648), _297650))], (1358 ^ _250310) ^ [_297774, _297776, _297778] : [-(subset(_297778, set_intersection2(_297776, _297774))), subset(_297778, _297776), subset(_297778, _297774)], (1368 ^ _250310) ^ [_298060] : [-(set_union2(_298060, empty_set) = _298060)], (1370 ^ _250310) ^ [_298170, _298172] : [in(_298172, _298170), -(element(_298172, _298170))], (1376 ^ _250310) ^ [_298394, _298396, _298398] : [-(subset(_298398, _298394)), subset(_298398, _298396), subset(_298396, _298394)], (1386 ^ _250310) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (1388 ^ _250310) ^ [_298770, _298772, _298774] : [subset(_298774, _298772), -(subset(set_intersection2(_298774, _298770), set_intersection2(_298772, _298770)))], (1394 ^ _250310) ^ [_298998, _299000] : [subset(_299000, _298998), -(set_intersection2(_299000, _298998) = _299000)], (1400 ^ _250310) ^ [_299185] : [-(set_intersection2(_299185, empty_set) = empty_set)], (1402 ^ _250310) ^ [_299295, _299297] : [element(_299297, _299295), -(empty(_299295)), -(in(_299297, _299295))], (1412 ^ _250310) ^ [_299593, _299595] : [-(_299595 = _299593), 1416 ^ _250310 : [(1417 ^ _250310) ^ [] : [-(in(1413 ^ [_299593, _299595], _299595))], (1419 ^ _250310) ^ [] : [in(1413 ^ [_299593, _299595], _299593)]], 1420 ^ _250310 : [(1421 ^ _250310) ^ [] : [-(in(1413 ^ [_299593, _299595], _299593))], (1423 ^ _250310) ^ [] : [in(1413 ^ [_299593, _299595], _299595)]]], (1427 ^ _250310) ^ [_300094] : [-(subset(empty_set, _300094))], (1429 ^ _250310) ^ [_300215, _300217, _300219] : [subset(_300219, _300217), -(subset(set_difference(_300219, _300215), set_difference(_300217, _300215)))], (1435 ^ _250310) ^ [_300471, _300473, _300475, _300477] : [ordered_pair(_300477, _300475) = ordered_pair(_300473, _300471), 1438 ^ _250310 : [(1439 ^ _250310) ^ [] : [-(_300477 = _300473)], (1441 ^ _250310) ^ [] : [-(_300475 = _300471)]]], (1443 ^ _250310) ^ [_300769, _300771] : [-(subset(set_difference(_300771, _300769), _300771))], (1445 ^ _250310) ^ [_300910, _300912] : [set_difference(_300912, _300910) = empty_set, -(subset(_300912, _300910))], (1451 ^ _250310) ^ [_301078, _301080] : [subset(_301080, _301078), -(set_difference(_301080, _301078) = empty_set)], (1457 ^ _250310) ^ [_301325, _301327] : [subset(singleton(_301327), _301325), -(in(_301327, _301325))], (1463 ^ _250310) ^ [_301491, _301493] : [in(_301493, _301491), -(subset(singleton(_301493), _301491))], (1469 ^ _250310) ^ [_301750, _301752, _301754] : [subset(unordered_pair(_301754, _301752), _301750), 1472 ^ _250310 : [(1473 ^ _250310) ^ [] : [-(in(_301754, _301750))], (1475 ^ _250310) ^ [] : [-(in(_301752, _301750))]]], (1477 ^ _250310) ^ [_302001, _302003, _302005] : [-(subset(unordered_pair(_302005, _302003), _302001)), in(_302005, _302001), in(_302003, _302001)], (1487 ^ _250310) ^ [_302303, _302305] : [-(set_union2(_302305, set_difference(_302303, _302305)) = set_union2(_302305, _302303))], (1499 ^ _250310) ^ [_302710, _302712] : [1500 ^ _250310 : [(1501 ^ _250310) ^ [] : [_302712 = empty_set], (1503 ^ _250310) ^ [] : [_302712 = singleton(_302710)]], -(subset(_302712, singleton(_302710)))], (1489 ^ _250310) ^ [_302450, _302452] : [subset(_302452, singleton(_302450)), -(_302452 = empty_set), -(_302452 = singleton(_302450))], (1507 ^ _250310) ^ [_302975] : [-(set_difference(_302975, empty_set) = _302975)], (1509 ^ _250310) ^ [_303114, _303116] : [element(_303116, powerset(_303114)), -(subset(_303116, _303114))], (1515 ^ _250310) ^ [_303280, _303282] : [subset(_303282, _303280), -(element(_303282, powerset(_303280)))], (1521 ^ _250310) ^ [_303516, _303518] : [-(disjoint(_303518, _303516)), 1525 ^ _250310 : [(1526 ^ _250310) ^ [] : [-(in(1524 ^ [_303516, _303518], _303518))], (1528 ^ _250310) ^ [] : [-(in(1524 ^ [_303516, _303518], _303516))]]], (1530 ^ _250310) ^ [_303830, _303832] : [disjoint(_303832, _303830), 1531 ^ _250310 : [(1532 ^ _250310) ^ [_303922] : [in(_303922, _303832), in(_303922, _303830)]]], (1540 ^ _250310) ^ [_304179] : [subset(_304179, empty_set), -(_304179 = empty_set)], (1546 ^ _250310) ^ [_304368, _304370] : [-(set_difference(set_union2(_304370, _304368), _304368) = set_difference(_304370, _304368))], (1548 ^ _250310) ^ [_304486, _304488] : [element(_304486, powerset(_304488)), 1551 ^ _250310 : [(1552 ^ _250310) ^ [_304638] : [element(_304638, powerset(_304488)), 1555 ^ _250310 : [(1556 ^ _250310) ^ [] : [disjoint(_304486, _304638), -(subset(_304486, subset_complement(_304488, _304638)))], (1562 ^ _250310) ^ [] : [subset(_304486, subset_complement(_304488, _304638)), -(disjoint(_304486, _304638))]]]]], (1568 ^ _250310) ^ [_305136, _305138] : [subset(_305138, _305136), -(_305136 = set_union2(_305138, set_difference(_305136, _305138)))], (1574 ^ _250310) ^ [_305358, _305360] : [element(_305358, powerset(powerset(_305360))), -(_305358 = empty_set), complements_of_subsets(_305360, _305358) = empty_set], (1584 ^ _250310) ^ [_305675, _305677] : [in(_305677, _305675), -(set_union2(singleton(_305677), _305675) = _305675)], (1590 ^ _250310) ^ [_305895, _305897] : [element(_305895, powerset(powerset(_305897))), -(_305895 = empty_set), -(subset_difference(_305897, cast_to_subset(_305897), union_of_subsets(_305897, _305895)) = meet_of_subsets(_305897, complements_of_subsets(_305897, _305895)))], (1600 ^ _250310) ^ [_306235, _306237] : [element(_306235, powerset(powerset(_306237))), -(_306235 = empty_set), -(union_of_subsets(_306237, complements_of_subsets(_306237, _306235)) = subset_difference(_306237, cast_to_subset(_306237), meet_of_subsets(_306237, _306235)))], (1610 ^ _250310) ^ [_306560, _306562] : [-(set_difference(_306562, set_difference(_306562, _306560)) = set_intersection2(_306562, _306560))], (1612 ^ _250310) ^ [_306649] : [-(set_difference(empty_set, _306649) = empty_set)], (1614 ^ _250310) ^ [_306773, _306775, _306777] : [-(element(_306777, _306773)), in(_306777, _306775), element(_306775, powerset(_306773))], (1624 ^ _250310) ^ [_307106, _307108] : [-(disjoint(_307108, _307106)), -(in(1627 ^ [_307106, _307108], set_intersection2(_307108, _307106)))], (1631 ^ _250310) ^ [_307341, _307343] : [1632 ^ _250310 : [(1633 ^ _250310) ^ [_307414] : [in(_307414, set_intersection2(_307343, _307341))]], disjoint(_307343, _307341)], (1637 ^ _250310) ^ [_307566] : [-(_307566 = empty_set), 1640 ^ _250310 : [(1641 ^ _250310) ^ [_307726] : [element(_307726, powerset(_307566)), 1644 ^ _250310 : [(1645 ^ _250310) ^ [_307880] : [element(_307880, _307566), -(in(_307880, _307726)), -(in(_307880, subset_complement(_307566, _307726)))]]]]], (1655 ^ _250310) ^ [_308226, _308228, _308230] : [element(_308226, powerset(_308230)), in(_308228, subset_complement(_308230, _308226)), in(_308228, _308226)], (1665 ^ _250310) ^ [_308560, _308562, _308564] : [in(_308564, _308562), element(_308562, powerset(_308560)), empty(_308560)], (1675 ^ _250310) ^ [_308870, _308872] : [subset(_308872, _308870), proper_subset(_308870, _308872)], (1681 ^ _250310) ^ [_309093, _309095, _309097] : [-(disjoint(_309097, _309093)), subset(_309097, _309095), disjoint(_309095, _309093)], (1691 ^ _250310) ^ [_309431, _309433] : [set_difference(_309433, singleton(_309431)) = _309433, in(_309431, _309433)], (1697 ^ _250310) ^ [_309604, _309606] : [-(in(_309604, _309606)), -(set_difference(_309606, singleton(_309604)) = _309606)], (1703 ^ _250310) ^ [_309800] : [-(unordered_pair(_309800, _309800) = singleton(_309800))], (1705 ^ _250310) ^ [_309898] : [empty(_309898), -(_309898 = empty_set)], (1711 ^ _250310) ^ [_310100, _310102] : [subset(singleton(_310102), singleton(_310100)), -(_310102 = _310100)], (1717 ^ _250310) ^ [_310318, _310320] : [in(_310320, _310318), empty(_310318)], (1723 ^ _250310) ^ [_310510, _310512] : [-(subset(_310512, set_union2(_310512, _310510)))], (1725 ^ _250310) ^ [_310651, _310653] : [disjoint(_310653, _310651), -(set_difference(_310653, _310651) = _310653)], (1731 ^ _250310) ^ [_310819, _310821] : [set_difference(_310821, _310819) = _310821, -(disjoint(_310821, _310819))], (1737 ^ _250310) ^ [_311037, _311039] : [empty(_311039), -(_311039 = _311037), empty(_311037)], (1747 ^ _250310) ^ [_311348, _311350, _311352] : [-(subset(set_union2(_311352, _311348), _311350)), subset(_311352, _311350), subset(_311348, _311350)], (1757 ^ _250310) ^ [_311677, _311679, _311681] : [singleton(_311681) = unordered_pair(_311679, _311677), -(_311681 = _311679)], (1763 ^ _250310) ^ [_311903, _311905] : [in(_311905, _311903), -(subset(_311905, union(_311903)))], (1769 ^ _250310) ^ [_312088] : [-(union(powerset(_312088)) = _312088)], (1807 ^ _250310) ^ [_313609, _313611, _313613] : [singleton(_313613) = unordered_pair(_313611, _313609), -(_313611 = _313609)], (1772 ^ _250310) ^ [_312329] : [-(in(_312329, 1770 ^ [_312329]))], (1774 ^ _250310) ^ [_312441, _312443, _312445] : [-(in(_312441, 1770 ^ [_312445])), in(_312443, 1770 ^ [_312445]), subset(_312441, _312443)], (1784 ^ _250310) ^ [_312756, _312758] : [in(_312756, 1770 ^ [_312758]), 1788 ^ _250310 : [(1789 ^ _250310) ^ [] : [-(in(1787 ^ [_312756, _312758], 1770 ^ [_312758]))], (1791 ^ _250310) ^ [_313068] : [subset(_313068, _312756), -(in(_313068, 1787 ^ [_312756, _312758]))]]], (1797 ^ _250310) ^ [_313275, _313277] : [subset(_313275, 1770 ^ [_313277]), -(are_equipotent(_313275, 1770 ^ [_313277])), -(in(_313275, 1770 ^ [_313277]))]], input).
% 0.58/1.37  ncf('1',plain,[in(1812 ^ [], relation_dom(1814 ^ [])), in(1813 ^ [], relation_rng(1814 ^ []))],start(1820 ^ 0)).
% 0.58/1.37  ncf('1.1',plain,[-(in(1812 ^ [], relation_dom(1814 ^ []))), 712 : in(ordered_pair(1812 ^ [], 1813 ^ []), 1814 ^ []), 710 : relation_dom(1814 ^ []) = relation_dom(1814 ^ []), 699 : relation(1814 ^ [])],extension(695 ^ 1,bind([[_274827, _275008, _275432, _275511], [1814 ^ [], relation_dom(1814 ^ []), 1812 ^ [], 1813 ^ []]]))).
% 0.58/1.37  ncf('1.1.1',plain,[-(in(ordered_pair(1812 ^ [], 1813 ^ []), 1814 ^ []))],extension(1818 ^ 8)).
% 0.58/1.37  ncf('1.1.2',plain,[-(relation_dom(1814 ^ []) = relation_dom(1814 ^ []))],extension(2 ^ 4,bind([[_250454], [relation_dom(1814 ^ [])]]))).
% 0.58/1.37  ncf('1.1.3',plain,[-(relation(1814 ^ []))],extension(1816 ^ 2)).
% 0.58/1.37  ncf('1.2',plain,[-(in(1813 ^ [], relation_rng(1814 ^ []))), 839 : in(ordered_pair(1812 ^ [], 1813 ^ []), 1814 ^ []), 837 : relation_rng(1814 ^ []) = relation_rng(1814 ^ []), 826 : relation(1814 ^ [])],extension(822 ^ 1,bind([[_279600, _279781, _280205, _280284], [1814 ^ [], relation_rng(1814 ^ []), 1813 ^ [], 1812 ^ []]]))).
% 0.58/1.37  ncf('1.2.1',plain,[-(in(ordered_pair(1812 ^ [], 1813 ^ []), 1814 ^ []))],extension(1818 ^ 8)).
% 0.58/1.37  ncf('1.2.2',plain,[-(relation_rng(1814 ^ []) = relation_rng(1814 ^ []))],extension(2 ^ 4,bind([[_250454], [relation_rng(1814 ^ [])]]))).
% 0.58/1.37  ncf('1.2.3',plain,[-(relation(1814 ^ []))],extension(1816 ^ 2)).
% 0.58/1.37  %-----------------------------------------------------
% 0.58/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------