%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC361+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 12:13:20 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC361+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.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 : Fri May 19 01:11:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(1978 ^ _232133) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _232133) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _232133) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _232133) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _232133) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _232133) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _232133) ^ [] : [-(neq(1979 ^ [], nil))], (1995 ^ _232133) ^ [] : [-(segmentP(1985 ^ [], 1982 ^ []))], (1997 ^ _232133) ^ [] : [-(strictorderedP(1982 ^ []))], (2017 ^ _232133) ^ [] : [segmentP(1979 ^ [], 1976 ^ [])], (1999 ^ _232133) ^ [_301397] : [ssList(_301397), neq(1982 ^ [], _301397), segmentP(1985 ^ [], _301397), segmentP(_301397, 1982 ^ []), strictorderedP(_301397)], (246 ^ _232133) ^ [_239937, _239939, _239941, _239943] : [-(cons(_239943, _239939) = cons(_239941, _239937)), _239943 = _239941, _239939 = _239937], (256 ^ _232133) ^ [_240268, _240270] : [_240270 = _240268, -(hd(_240270) = hd(_240268))], (272 ^ _232133) ^ [_240825, _240827] : [_240827 = _240825, -(tl(_240827) = tl(_240825))], (262 ^ _232133) ^ [_240514, _240516, _240518, _240520] : [-(app(_240520, _240516) = app(_240518, _240514)), _240520 = _240518, _240516 = _240514], (2 ^ _232133) ^ [_232277] : [-(_232277 = _232277)], (4 ^ _232133) ^ [_232384, _232386] : [_232386 = _232384, -(_232384 = _232386)], (10 ^ _232133) ^ [_232588, _232590, _232592] : [-(_232592 = _232588), _232592 = _232590, _232590 = _232588], (20 ^ _232133) ^ [_232929, _232931, _232933, _232935] : [-(memberP(_232933, _232929)), memberP(_232935, _232931), _232935 = _232933, _232931 = _232929], (34 ^ _232133) ^ [_233345, _233347] : [-(singletonP(_233345)), _233347 = _233345, singletonP(_233347)], (44 ^ _232133) ^ [_233668, _233670, _233672, _233674] : [-(frontsegP(_233672, _233668)), frontsegP(_233674, _233670), _233674 = _233672, _233670 = _233668], (58 ^ _232133) ^ [_234112, _234114, _234116, _234118] : [-(rearsegP(_234116, _234112)), rearsegP(_234118, _234114), _234118 = _234116, _234114 = _234112], (72 ^ _232133) ^ [_234528, _234530] : [-(cyclefreeP(_234528)), _234530 = _234528, cyclefreeP(_234530)], (82 ^ _232133) ^ [_234823, _234825] : [-(totalorderP(_234823)), _234825 = _234823, totalorderP(_234825)], (92 ^ _232133) ^ [_235118, _235120] : [-(strictorderP(_235118)), _235120 = _235118, strictorderP(_235120)], (102 ^ _232133) ^ [_235413, _235415] : [-(totalorderedP(_235413)), _235415 = _235413, totalorderedP(_235415)], (112 ^ _232133) ^ [_235708, _235710] : [-(duplicatefreeP(_235708)), _235710 = _235708, duplicatefreeP(_235710)], (122 ^ _232133) ^ [_236003, _236005] : [-(equalelemsP(_236003)), _236005 = _236003, equalelemsP(_236005)], (132 ^ _232133) ^ [_236326, _236328, _236330, _236332] : [-(geq(_236330, _236326)), geq(_236332, _236328), _236332 = _236330, _236328 = _236326], (146 ^ _232133) ^ [_236770, _236772, _236774, _236776] : [-(lt(_236774, _236770)), lt(_236776, _236772), _236776 = _236774, _236772 = _236770], (160 ^ _232133) ^ [_237214, _237216, _237218, _237220] : [-(leq(_237218, _237214)), leq(_237220, _237216), _237220 = _237218, _237216 = _237214], (174 ^ _232133) ^ [_237630, _237632] : [-(ssItem(_237630)), _237632 = _237630, ssItem(_237632)], (184 ^ _232133) ^ [_237953, _237955, _237957, _237959] : [-(gt(_237957, _237953)), gt(_237959, _237955), _237959 = _237957, _237955 = _237953], (198 ^ _232133) ^ [_238369, _238371] : [-(ssList(_238369)), _238371 = _238369, ssList(_238371)], (208 ^ _232133) ^ [_238692, _238694, _238696, _238698] : [-(neq(_238696, _238692)), neq(_238698, _238694), _238698 = _238696, _238694 = _238692], (222 ^ _232133) ^ [_239108, _239110] : [-(strictorderedP(_239108)), _239110 = _239108, strictorderedP(_239110)], (232 ^ _232133) ^ [_239411, _239413, _239415, _239417] : [-(segmentP(_239415, _239411)), segmentP(_239417, _239413), _239417 = _239415, _239413 = _239411], (278 ^ _232133) ^ [_241047] : [ssItem(_241047), 281 ^ _232133 : [(282 ^ _232133) ^ [_241185] : [ssItem(_241185), 285 ^ _232133 : [(286 ^ _232133) ^ [] : [neq(_241047, _241185), _241047 = _241185], (292 ^ _232133) ^ [] : [-(_241047 = _241185), -(neq(_241047, _241185))]]]]], (299 ^ _232133) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _232133) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _232133) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _232133) ^ [_241898] : [ssList(_241898), 309 ^ _232133 : [(310 ^ _232133) ^ [_242060] : [ssItem(_242060), 313 ^ _232133 : [(314 ^ _232133) ^ [] : [memberP(_241898, _242060), 318 ^ _232133 : [(319 ^ _232133) ^ [] : [-(ssList(317 ^ [_241898, _242060]))], (322 ^ _232133) ^ [] : [-(ssList(320 ^ [_241898, _242060]))], (324 ^ _232133) ^ [] : [-(app(317 ^ [_241898, _242060], cons(_242060, 320 ^ [_241898, _242060])) = _241898)]]], (326 ^ _232133) ^ [] : [-(memberP(_241898, _242060)), 327 ^ _232133 : [(328 ^ _232133) ^ [_242708] : [ssList(_242708), 331 ^ _232133 : [(332 ^ _232133) ^ [_242856] : [ssList(_242856), app(_242708, cons(_242060, _242856)) = _241898]]]]]]]]], (340 ^ _232133) ^ [_243147] : [ssList(_243147), 343 ^ _232133 : [(344 ^ _232133) ^ [] : [singletonP(_243147), 348 ^ _232133 : [(349 ^ _232133) ^ [] : [-(ssItem(347 ^ [_243147]))], (351 ^ _232133) ^ [] : [-(cons(347 ^ [_243147], nil) = _243147)]]], (353 ^ _232133) ^ [] : [-(singletonP(_243147)), 354 ^ _232133 : [(355 ^ _232133) ^ [_243596] : [ssItem(_243596), cons(_243596, nil) = _243147]]]]], (363 ^ _232133) ^ [_243852] : [ssList(_243852), 366 ^ _232133 : [(367 ^ _232133) ^ [_244001] : [ssList(_244001), 370 ^ _232133 : [(371 ^ _232133) ^ [] : [frontsegP(_243852, _244001), 375 ^ _232133 : [(376 ^ _232133) ^ [] : [-(ssList(374 ^ [_243852, _244001]))], (378 ^ _232133) ^ [] : [-(app(_244001, 374 ^ [_243852, _244001]) = _243852)]]], (380 ^ _232133) ^ [] : [-(frontsegP(_243852, _244001)), 381 ^ _232133 : [(382 ^ _232133) ^ [_244476] : [ssList(_244476), app(_244001, _244476) = _243852]]]]]]], (390 ^ _232133) ^ [_244748] : [ssList(_244748), 393 ^ _232133 : [(394 ^ _232133) ^ [_244897] : [ssList(_244897), 397 ^ _232133 : [(398 ^ _232133) ^ [] : [rearsegP(_244748, _244897), 402 ^ _232133 : [(403 ^ _232133) ^ [] : [-(ssList(401 ^ [_244748, _244897]))], (405 ^ _232133) ^ [] : [-(app(401 ^ [_244748, _244897], _244897) = _244748)]]], (407 ^ _232133) ^ [] : [-(rearsegP(_244748, _244897)), 408 ^ _232133 : [(409 ^ _232133) ^ [_245372] : [ssList(_245372), app(_245372, _244897) = _244748]]]]]]], (417 ^ _232133) ^ [_245644] : [ssList(_245644), 420 ^ _232133 : [(421 ^ _232133) ^ [_245806] : [ssList(_245806), 424 ^ _232133 : [(425 ^ _232133) ^ [] : [segmentP(_245644, _245806), 429 ^ _232133 : [(430 ^ _232133) ^ [] : [-(ssList(428 ^ [_245644, _245806]))], (433 ^ _232133) ^ [] : [-(ssList(431 ^ [_245644, _245806]))], (435 ^ _232133) ^ [] : [-(app(app(428 ^ [_245644, _245806], _245806), 431 ^ [_245644, _245806]) = _245644)]]], (437 ^ _232133) ^ [] : [-(segmentP(_245644, _245806)), 438 ^ _232133 : [(439 ^ _232133) ^ [_246454] : [ssList(_246454), 442 ^ _232133 : [(443 ^ _232133) ^ [_246602] : [ssList(_246602), app(app(_246454, _245806), _246602) = _245644]]]]]]]]], (451 ^ _232133) ^ [_246893] : [ssList(_246893), 454 ^ _232133 : [(489 ^ _232133) ^ [] : [491 ^ _232133 : [(492 ^ _232133) ^ [] : [-(ssItem(490 ^ [_246893]))], (495 ^ _232133) ^ [] : [-(ssItem(493 ^ [_246893]))], (498 ^ _232133) ^ [] : [-(ssList(496 ^ [_246893]))], (501 ^ _232133) ^ [] : [-(ssList(499 ^ [_246893]))], (504 ^ _232133) ^ [] : [-(ssList(502 ^ [_246893]))], (506 ^ _232133) ^ [] : [-(app(app(496 ^ [_246893], cons(490 ^ [_246893], 499 ^ [_246893])), cons(493 ^ [_246893], 502 ^ [_246893])) = _246893)], (508 ^ _232133) ^ [] : [-(leq(490 ^ [_246893], 493 ^ [_246893]))], (510 ^ _232133) ^ [] : [-(leq(493 ^ [_246893], 490 ^ [_246893]))]], -(cyclefreeP(_246893))], (455 ^ _232133) ^ [] : [cyclefreeP(_246893), 458 ^ _232133 : [(459 ^ _232133) ^ [_247197] : [ssItem(_247197), 462 ^ _232133 : [(463 ^ _232133) ^ [_247389] : [ssItem(_247389), 466 ^ _232133 : [(467 ^ _232133) ^ [_247577] : [ssList(_247577), 470 ^ _232133 : [(471 ^ _232133) ^ [_247761] : [ssList(_247761), 474 ^ _232133 : [(475 ^ _232133) ^ [_247941] : [ssList(_247941), app(app(_247577, cons(_247197, _247761)), cons(_247389, _247941)) = _246893, leq(_247197, _247389), leq(_247389, _247197)]]]]]]]]]]]]], (514 ^ _232133) ^ [_249679] : [ssList(_249679), 517 ^ _232133 : [(552 ^ _232133) ^ [] : [554 ^ _232133 : [(555 ^ _232133) ^ [] : [-(ssItem(553 ^ [_249679]))], (558 ^ _232133) ^ [] : [-(ssItem(556 ^ [_249679]))], (561 ^ _232133) ^ [] : [-(ssList(559 ^ [_249679]))], (564 ^ _232133) ^ [] : [-(ssList(562 ^ [_249679]))], (567 ^ _232133) ^ [] : [-(ssList(565 ^ [_249679]))], (569 ^ _232133) ^ [] : [-(app(app(559 ^ [_249679], cons(553 ^ [_249679], 562 ^ [_249679])), cons(556 ^ [_249679], 565 ^ [_249679])) = _249679)], (571 ^ _232133) ^ [] : [leq(553 ^ [_249679], 556 ^ [_249679])], (573 ^ _232133) ^ [] : [leq(556 ^ [_249679], 553 ^ [_249679])]], -(totalorderP(_249679))], (518 ^ _232133) ^ [] : [totalorderP(_249679), 521 ^ _232133 : [(522 ^ _232133) ^ [_249981] : [ssItem(_249981), 525 ^ _232133 : [(526 ^ _232133) ^ [_250171] : [ssItem(_250171), 529 ^ _232133 : [(530 ^ _232133) ^ [_250357] : [ssList(_250357), 533 ^ _232133 : [(534 ^ _232133) ^ [_250539] : [ssList(_250539), 537 ^ _232133 : [(538 ^ _232133) ^ [_250717] : [ssList(_250717), app(app(_250357, cons(_249981, _250539)), cons(_250171, _250717)) = _249679, -(leq(_249981, _250171)), -(leq(_250171, _249981))]]]]]]]]]]]]], (577 ^ _232133) ^ [_252443] : [ssList(_252443), 580 ^ _232133 : [(615 ^ _232133) ^ [] : [617 ^ _232133 : [(618 ^ _232133) ^ [] : [-(ssItem(616 ^ [_252443]))], (621 ^ _232133) ^ [] : [-(ssItem(619 ^ [_252443]))], (624 ^ _232133) ^ [] : [-(ssList(622 ^ [_252443]))], (627 ^ _232133) ^ [] : [-(ssList(625 ^ [_252443]))], (630 ^ _232133) ^ [] : [-(ssList(628 ^ [_252443]))], (632 ^ _232133) ^ [] : [-(app(app(622 ^ [_252443], cons(616 ^ [_252443], 625 ^ [_252443])), cons(619 ^ [_252443], 628 ^ [_252443])) = _252443)], (634 ^ _232133) ^ [] : [lt(616 ^ [_252443], 619 ^ [_252443])], (636 ^ _232133) ^ [] : [lt(619 ^ [_252443], 616 ^ [_252443])]], -(strictorderP(_252443))], (581 ^ _232133) ^ [] : [strictorderP(_252443), 584 ^ _232133 : [(585 ^ _232133) ^ [_252745] : [ssItem(_252745), 588 ^ _232133 : [(589 ^ _232133) ^ [_252935] : [ssItem(_252935), 592 ^ _232133 : [(593 ^ _232133) ^ [_253121] : [ssList(_253121), 596 ^ _232133 : [(597 ^ _232133) ^ [_253303] : [ssList(_253303), 600 ^ _232133 : [(601 ^ _232133) ^ [_253481] : [ssList(_253481), app(app(_253121, cons(_252745, _253303)), cons(_252935, _253481)) = _252443, -(lt(_252745, _252935)), -(lt(_252935, _252745))]]]]]]]]]]]]], (640 ^ _232133) ^ [_255207] : [ssList(_255207), 643 ^ _232133 : [(674 ^ _232133) ^ [] : [676 ^ _232133 : [(677 ^ _232133) ^ [] : [-(ssItem(675 ^ [_255207]))], (680 ^ _232133) ^ [] : [-(ssItem(678 ^ [_255207]))], (683 ^ _232133) ^ [] : [-(ssList(681 ^ [_255207]))], (686 ^ _232133) ^ [] : [-(ssList(684 ^ [_255207]))], (689 ^ _232133) ^ [] : [-(ssList(687 ^ [_255207]))], (691 ^ _232133) ^ [] : [-(app(app(681 ^ [_255207], cons(675 ^ [_255207], 684 ^ [_255207])), cons(678 ^ [_255207], 687 ^ [_255207])) = _255207)], (693 ^ _232133) ^ [] : [leq(675 ^ [_255207], 678 ^ [_255207])]], -(totalorderedP(_255207))], (644 ^ _232133) ^ [] : [totalorderedP(_255207), 647 ^ _232133 : [(648 ^ _232133) ^ [_255503] : [ssItem(_255503), 651 ^ _232133 : [(652 ^ _232133) ^ [_255687] : [ssItem(_255687), 655 ^ _232133 : [(656 ^ _232133) ^ [_255867] : [ssList(_255867), 659 ^ _232133 : [(660 ^ _232133) ^ [_256043] : [ssList(_256043), 663 ^ _232133 : [(664 ^ _232133) ^ [_256215] : [ssList(_256215), app(app(_255867, cons(_255503, _256043)), cons(_255687, _256215)) = _255207, -(leq(_255503, _255687))]]]]]]]]]]]]], (697 ^ _232133) ^ [_257695] : [ssList(_257695), 700 ^ _232133 : [(731 ^ _232133) ^ [] : [733 ^ _232133 : [(734 ^ _232133) ^ [] : [-(ssItem(732 ^ [_257695]))], (737 ^ _232133) ^ [] : [-(ssItem(735 ^ [_257695]))], (740 ^ _232133) ^ [] : [-(ssList(738 ^ [_257695]))], (743 ^ _232133) ^ [] : [-(ssList(741 ^ [_257695]))], (746 ^ _232133) ^ [] : [-(ssList(744 ^ [_257695]))], (748 ^ _232133) ^ [] : [-(app(app(738 ^ [_257695], cons(732 ^ [_257695], 741 ^ [_257695])), cons(735 ^ [_257695], 744 ^ [_257695])) = _257695)], (750 ^ _232133) ^ [] : [lt(732 ^ [_257695], 735 ^ [_257695])]], -(strictorderedP(_257695))], (701 ^ _232133) ^ [] : [strictorderedP(_257695), 704 ^ _232133 : [(705 ^ _232133) ^ [_257991] : [ssItem(_257991), 708 ^ _232133 : [(709 ^ _232133) ^ [_258175] : [ssItem(_258175), 712 ^ _232133 : [(713 ^ _232133) ^ [_258355] : [ssList(_258355), 716 ^ _232133 : [(717 ^ _232133) ^ [_258531] : [ssList(_258531), 720 ^ _232133 : [(721 ^ _232133) ^ [_258703] : [ssList(_258703), app(app(_258355, cons(_257991, _258531)), cons(_258175, _258703)) = _257695, -(lt(_257991, _258175))]]]]]]]]]]]]], (754 ^ _232133) ^ [_260183] : [ssList(_260183), 757 ^ _232133 : [(788 ^ _232133) ^ [] : [790 ^ _232133 : [(791 ^ _232133) ^ [] : [-(ssItem(789 ^ [_260183]))], (794 ^ _232133) ^ [] : [-(ssItem(792 ^ [_260183]))], (797 ^ _232133) ^ [] : [-(ssList(795 ^ [_260183]))], (800 ^ _232133) ^ [] : [-(ssList(798 ^ [_260183]))], (803 ^ _232133) ^ [] : [-(ssList(801 ^ [_260183]))], (805 ^ _232133) ^ [] : [-(app(app(795 ^ [_260183], cons(789 ^ [_260183], 798 ^ [_260183])), cons(792 ^ [_260183], 801 ^ [_260183])) = _260183)], (807 ^ _232133) ^ [] : [-(789 ^ [_260183] = 792 ^ [_260183])]], -(duplicatefreeP(_260183))], (758 ^ _232133) ^ [] : [duplicatefreeP(_260183), 761 ^ _232133 : [(762 ^ _232133) ^ [_260481] : [ssItem(_260481), 765 ^ _232133 : [(766 ^ _232133) ^ [_260667] : [ssItem(_260667), 769 ^ _232133 : [(770 ^ _232133) ^ [_260849] : [ssList(_260849), 773 ^ _232133 : [(774 ^ _232133) ^ [_261027] : [ssList(_261027), 777 ^ _232133 : [(778 ^ _232133) ^ [_261201] : [ssList(_261201), app(app(_260849, cons(_260481, _261027)), cons(_260667, _261201)) = _260183, _260481 = _260667]]]]]]]]]]]]], (811 ^ _232133) ^ [_262693] : [ssList(_262693), 814 ^ _232133 : [(841 ^ _232133) ^ [] : [843 ^ _232133 : [(844 ^ _232133) ^ [] : [-(ssItem(842 ^ [_262693]))], (847 ^ _232133) ^ [] : [-(ssItem(845 ^ [_262693]))], (850 ^ _232133) ^ [] : [-(ssList(848 ^ [_262693]))], (853 ^ _232133) ^ [] : [-(ssList(851 ^ [_262693]))], (855 ^ _232133) ^ [] : [-(app(848 ^ [_262693], cons(842 ^ [_262693], cons(845 ^ [_262693], 851 ^ [_262693]))) = _262693)], (857 ^ _232133) ^ [] : [842 ^ [_262693] = 845 ^ [_262693]]], -(equalelemsP(_262693))], (815 ^ _232133) ^ [] : [equalelemsP(_262693), 818 ^ _232133 : [(819 ^ _232133) ^ [_262976] : [ssItem(_262976), 822 ^ _232133 : [(823 ^ _232133) ^ [_263147] : [ssItem(_263147), 826 ^ _232133 : [(827 ^ _232133) ^ [_263314] : [ssList(_263314), 830 ^ _232133 : [(831 ^ _232133) ^ [_263477] : [ssList(_263477), app(_263314, cons(_262976, cons(_263147, _263477))) = _262693, -(_262976 = _263147)]]]]]]]]]]], (861 ^ _232133) ^ [_264710] : [ssList(_264710), 864 ^ _232133 : [(865 ^ _232133) ^ [_264848] : [ssList(_264848), 868 ^ _232133 : [(869 ^ _232133) ^ [] : [neq(_264710, _264848), _264710 = _264848], (875 ^ _232133) ^ [] : [-(_264710 = _264848), -(neq(_264710, _264848))]]]]], (881 ^ _232133) ^ [_265301] : [ssList(_265301), 884 ^ _232133 : [(885 ^ _232133) ^ [_265433] : [ssItem(_265433), -(ssList(cons(_265433, _265301)))]]], (891 ^ _232133) ^ [] : [-(ssList(nil))], (893 ^ _232133) ^ [_265691] : [ssList(_265691), 896 ^ _232133 : [(897 ^ _232133) ^ [_265826] : [ssItem(_265826), cons(_265826, _265691) = _265691]]], (903 ^ _232133) ^ [_266034] : [ssList(_266034), 906 ^ _232133 : [(907 ^ _232133) ^ [_266202] : [ssList(_266202), 910 ^ _232133 : [(911 ^ _232133) ^ [_266366] : [ssItem(_266366), 914 ^ _232133 : [(915 ^ _232133) ^ [_266526] : [ssItem(_266526), cons(_266366, _266034) = cons(_266526, _266202), 922 ^ _232133 : [(923 ^ _232133) ^ [] : [-(_266366 = _266526)], (925 ^ _232133) ^ [] : [-(_266202 = _266034)]]]]]]]]], (927 ^ _232133) ^ [_266941] : [ssList(_266941), -(nil = _266941), 935 ^ _232133 : [(936 ^ _232133) ^ [] : [-(ssList(934 ^ [_266941]))], (939 ^ _232133) ^ [] : [-(ssItem(937 ^ [_266941]))], (941 ^ _232133) ^ [] : [-(cons(937 ^ [_266941], 934 ^ [_266941]) = _266941)]]], (943 ^ _232133) ^ [_267505] : [ssList(_267505), 946 ^ _232133 : [(947 ^ _232133) ^ [_267640] : [ssItem(_267640), nil = cons(_267640, _267505)]]], (953 ^ _232133) ^ [_267848] : [ssList(_267848), -(nil = _267848), -(ssItem(hd(_267848)))], (963 ^ _232133) ^ [_268126] : [ssList(_268126), 966 ^ _232133 : [(967 ^ _232133) ^ [_268261] : [ssItem(_268261), -(hd(cons(_268261, _268126)) = _268261)]]], (973 ^ _232133) ^ [_268472] : [ssList(_268472), -(nil = _268472), -(ssList(tl(_268472)))], (983 ^ _232133) ^ [_268750] : [ssList(_268750), 986 ^ _232133 : [(987 ^ _232133) ^ [_268885] : [ssItem(_268885), -(tl(cons(_268885, _268750)) = _268750)]]], (993 ^ _232133) ^ [_269096] : [ssList(_269096), 996 ^ _232133 : [(997 ^ _232133) ^ [_269228] : [ssList(_269228), -(ssList(app(_269096, _269228)))]]], (1003 ^ _232133) ^ [_269433] : [ssList(_269433), 1006 ^ _232133 : [(1007 ^ _232133) ^ [_269585] : [ssList(_269585), 1010 ^ _232133 : [(1011 ^ _232133) ^ [_269733] : [ssItem(_269733), -(cons(_269733, app(_269585, _269433)) = app(cons(_269733, _269585), _269433))]]]]], (1017 ^ _232133) ^ [_269971] : [ssList(_269971), -(app(nil, _269971) = _269971)], (1023 ^ _232133) ^ [_270165] : [ssItem(_270165), 1026 ^ _232133 : [(1027 ^ _232133) ^ [_270307] : [ssItem(_270307), -(_270165 = _270307), leq(_270165, _270307), leq(_270307, _270165)]]], (1041 ^ _232133) ^ [_270686] : [ssItem(_270686), 1044 ^ _232133 : [(1045 ^ _232133) ^ [_270838] : [ssItem(_270838), 1048 ^ _232133 : [(1049 ^ _232133) ^ [_270986] : [ssItem(_270986), -(leq(_270686, _270986)), leq(_270686, _270838), leq(_270838, _270986)]]]]], (1063 ^ _232133) ^ [_271386] : [ssItem(_271386), -(leq(_271386, _271386))], (1069 ^ _232133) ^ [_271574] : [ssItem(_271574), 1072 ^ _232133 : [(1073 ^ _232133) ^ [_271710] : [ssItem(_271710), 1076 ^ _232133 : [(1077 ^ _232133) ^ [] : [geq(_271574, _271710), -(leq(_271710, _271574))], (1083 ^ _232133) ^ [] : [leq(_271710, _271574), -(geq(_271574, _271710))]]]]], (1089 ^ _232133) ^ [_272161] : [ssItem(_272161), 1092 ^ _232133 : [(1093 ^ _232133) ^ [_272299] : [ssItem(_272299), lt(_272161, _272299), lt(_272299, _272161)]]], (1103 ^ _232133) ^ [_272590] : [ssItem(_272590), 1106 ^ _232133 : [(1107 ^ _232133) ^ [_272742] : [ssItem(_272742), 1110 ^ _232133 : [(1111 ^ _232133) ^ [_272890] : [ssItem(_272890), -(lt(_272590, _272890)), lt(_272590, _272742), lt(_272742, _272890)]]]]], (1125 ^ _232133) ^ [_273290] : [ssItem(_273290), 1128 ^ _232133 : [(1129 ^ _232133) ^ [_273426] : [ssItem(_273426), 1132 ^ _232133 : [(1133 ^ _232133) ^ [] : [gt(_273290, _273426), -(lt(_273426, _273290))], (1139 ^ _232133) ^ [] : [lt(_273426, _273290), -(gt(_273290, _273426))]]]]], (1145 ^ _232133) ^ [_273877] : [ssItem(_273877), 1148 ^ _232133 : [(1149 ^ _232133) ^ [_274032] : [ssList(_274032), 1152 ^ _232133 : [(1153 ^ _232133) ^ [_274183] : [ssList(_274183), 1156 ^ _232133 : [(1167 ^ _232133) ^ [] : [1168 ^ _232133 : [(1169 ^ _232133) ^ [] : [memberP(_274032, _273877)], (1171 ^ _232133) ^ [] : [memberP(_274183, _273877)]], -(memberP(app(_274032, _274183), _273877))], (1157 ^ _232133) ^ [] : [memberP(app(_274032, _274183), _273877), -(memberP(_274032, _273877)), -(memberP(_274183, _273877))]]]]]]], (1175 ^ _232133) ^ [_274830] : [ssItem(_274830), 1178 ^ _232133 : [(1179 ^ _232133) ^ [_274985] : [ssItem(_274985), 1182 ^ _232133 : [(1183 ^ _232133) ^ [_275136] : [ssList(_275136), 1186 ^ _232133 : [(1197 ^ _232133) ^ [] : [1198 ^ _232133 : [(1199 ^ _232133) ^ [] : [_274830 = _274985], (1201 ^ _232133) ^ [] : [memberP(_275136, _274830)]], -(memberP(cons(_274985, _275136), _274830))], (1187 ^ _232133) ^ [] : [memberP(cons(_274985, _275136), _274830), -(_274830 = _274985), -(memberP(_275136, _274830))]]]]]]], (1205 ^ _232133) ^ [_275783] : [ssItem(_275783), memberP(nil, _275783)], (1211 ^ _232133) ^ [] : [singletonP(nil)], (1213 ^ _232133) ^ [_276024] : [ssList(_276024), 1216 ^ _232133 : [(1217 ^ _232133) ^ [_276176] : [ssList(_276176), 1220 ^ _232133 : [(1221 ^ _232133) ^ [_276324] : [ssList(_276324), -(frontsegP(_276024, _276324)), frontsegP(_276024, _276176), frontsegP(_276176, _276324)]]]]], (1235 ^ _232133) ^ [_276724] : [ssList(_276724), 1238 ^ _232133 : [(1239 ^ _232133) ^ [_276866] : [ssList(_276866), -(_276724 = _276866), frontsegP(_276724, _276866), frontsegP(_276866, _276724)]]], (1253 ^ _232133) ^ [_277245] : [ssList(_277245), -(frontsegP(_277245, _277245))], (1259 ^ _232133) ^ [_277433] : [ssList(_277433), 1262 ^ _232133 : [(1263 ^ _232133) ^ [_277582] : [ssList(_277582), 1266 ^ _232133 : [(1267 ^ _232133) ^ [_277727] : [ssList(_277727), frontsegP(_277433, _277582), -(frontsegP(app(_277433, _277727), _277582))]]]]], (1277 ^ _232133) ^ [_278040] : [ssItem(_278040), 1280 ^ _232133 : [(1281 ^ _232133) ^ [_278208] : [ssItem(_278208), 1284 ^ _232133 : [(1285 ^ _232133) ^ [_278372] : [ssList(_278372), 1288 ^ _232133 : [(1289 ^ _232133) ^ [_278532] : [ssList(_278532), 1292 ^ _232133 : [(1293 ^ _232133) ^ [] : [frontsegP(cons(_278040, _278372), cons(_278208, _278532)), 1296 ^ _232133 : [(1297 ^ _232133) ^ [] : [-(_278040 = _278208)], (1299 ^ _232133) ^ [] : [-(frontsegP(_278372, _278532))]]], (1301 ^ _232133) ^ [] : [-(frontsegP(cons(_278040, _278372), cons(_278208, _278532))), _278040 = _278208, frontsegP(_278372, _278532)]]]]]]]]], (1311 ^ _232133) ^ [_279217] : [ssList(_279217), -(frontsegP(_279217, nil))], (1317 ^ _232133) ^ [_279405] : [ssList(_279405), 1320 ^ _232133 : [(1321 ^ _232133) ^ [] : [frontsegP(nil, _279405), -(nil = _279405)], (1327 ^ _232133) ^ [] : [nil = _279405, -(frontsegP(nil, _279405))]]], (1333 ^ _232133) ^ [_279833] : [ssList(_279833), 1336 ^ _232133 : [(1337 ^ _232133) ^ [_279985] : [ssList(_279985), 1340 ^ _232133 : [(1341 ^ _232133) ^ [_280133] : [ssList(_280133), -(rearsegP(_279833, _280133)), rearsegP(_279833, _279985), rearsegP(_279985, _280133)]]]]], (1355 ^ _232133) ^ [_280533] : [ssList(_280533), 1358 ^ _232133 : [(1359 ^ _232133) ^ [_280675] : [ssList(_280675), -(_280533 = _280675), rearsegP(_280533, _280675), rearsegP(_280675, _280533)]]], (1373 ^ _232133) ^ [_281054] : [ssList(_281054), -(rearsegP(_281054, _281054))], (1379 ^ _232133) ^ [_281242] : [ssList(_281242), 1382 ^ _232133 : [(1383 ^ _232133) ^ [_281391] : [ssList(_281391), 1386 ^ _232133 : [(1387 ^ _232133) ^ [_281536] : [ssList(_281536), rearsegP(_281242, _281391), -(rearsegP(app(_281536, _281242), _281391))]]]]], (1397 ^ _232133) ^ [_281849] : [ssList(_281849), -(rearsegP(_281849, nil))], (1403 ^ _232133) ^ [_282037] : [ssList(_282037), 1406 ^ _232133 : [(1407 ^ _232133) ^ [] : [rearsegP(nil, _282037), -(nil = _282037)], (1413 ^ _232133) ^ [] : [nil = _282037, -(rearsegP(nil, _282037))]]], (1419 ^ _232133) ^ [_282465] : [ssList(_282465), 1422 ^ _232133 : [(1423 ^ _232133) ^ [_282617] : [ssList(_282617), 1426 ^ _232133 : [(1427 ^ _232133) ^ [_282765] : [ssList(_282765), -(segmentP(_282465, _282765)), segmentP(_282465, _282617), segmentP(_282617, _282765)]]]]], (1441 ^ _232133) ^ [_283165] : [ssList(_283165), 1444 ^ _232133 : [(1445 ^ _232133) ^ [_283307] : [ssList(_283307), -(_283165 = _283307), segmentP(_283165, _283307), segmentP(_283307, _283165)]]], (1459 ^ _232133) ^ [_283686] : [ssList(_283686), -(segmentP(_283686, _283686))], (1465 ^ _232133) ^ [_283874] : [ssList(_283874), 1468 ^ _232133 : [(1469 ^ _232133) ^ [_284036] : [ssList(_284036), 1472 ^ _232133 : [(1473 ^ _232133) ^ [_284194] : [ssList(_284194), 1476 ^ _232133 : [(1477 ^ _232133) ^ [_284348] : [ssList(_284348), segmentP(_283874, _284036), -(segmentP(app(app(_284194, _283874), _284348), _284036))]]]]]]], (1487 ^ _232133) ^ [_284684] : [ssList(_284684), -(segmentP(_284684, nil))], (1493 ^ _232133) ^ [_284872] : [ssList(_284872), 1496 ^ _232133 : [(1497 ^ _232133) ^ [] : [segmentP(nil, _284872), -(nil = _284872)], (1503 ^ _232133) ^ [] : [nil = _284872, -(segmentP(nil, _284872))]]], (1509 ^ _232133) ^ [_285300] : [ssItem(_285300), -(cyclefreeP(cons(_285300, nil)))], (1515 ^ _232133) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _232133) ^ [_285545] : [ssItem(_285545), -(totalorderP(cons(_285545, nil)))], (1523 ^ _232133) ^ [] : [-(totalorderP(nil))], (1525 ^ _232133) ^ [_285790] : [ssItem(_285790), -(strictorderP(cons(_285790, nil)))], (1531 ^ _232133) ^ [] : [-(strictorderP(nil))], (1533 ^ _232133) ^ [_286035] : [ssItem(_286035), -(totalorderedP(cons(_286035, nil)))], (1539 ^ _232133) ^ [] : [-(totalorderedP(nil))], (1541 ^ _232133) ^ [_286280] : [ssItem(_286280), 1544 ^ _232133 : [(1545 ^ _232133) ^ [_286439] : [ssList(_286439), 1548 ^ _232133 : [(1549 ^ _232133) ^ [] : [totalorderedP(cons(_286280, _286439)), -(nil = _286439), 1556 ^ _232133 : [(1557 ^ _232133) ^ [] : [nil = _286439], (1559 ^ _232133) ^ [] : [-(totalorderedP(_286439))], (1561 ^ _232133) ^ [] : [-(leq(_286280, hd(_286439)))]]], (1563 ^ _232133) ^ [] : [-(totalorderedP(cons(_286280, _286439))), 1564 ^ _232133 : [(1565 ^ _232133) ^ [] : [nil = _286439], (1567 ^ _232133) ^ [] : [-(nil = _286439), totalorderedP(_286439), leq(_286280, hd(_286439))]]]]]]], (1579 ^ _232133) ^ [_287374] : [ssItem(_287374), -(strictorderedP(cons(_287374, nil)))], (1585 ^ _232133) ^ [] : [-(strictorderedP(nil))], (1587 ^ _232133) ^ [_287619] : [ssItem(_287619), 1590 ^ _232133 : [(1591 ^ _232133) ^ [_287778] : [ssList(_287778), 1594 ^ _232133 : [(1595 ^ _232133) ^ [] : [strictorderedP(cons(_287619, _287778)), -(nil = _287778), 1602 ^ _232133 : [(1603 ^ _232133) ^ [] : [nil = _287778], (1605 ^ _232133) ^ [] : [-(strictorderedP(_287778))], (1607 ^ _232133) ^ [] : [-(lt(_287619, hd(_287778)))]]], (1609 ^ _232133) ^ [] : [-(strictorderedP(cons(_287619, _287778))), 1610 ^ _232133 : [(1611 ^ _232133) ^ [] : [nil = _287778], (1613 ^ _232133) ^ [] : [-(nil = _287778), strictorderedP(_287778), lt(_287619, hd(_287778))]]]]]]], (1625 ^ _232133) ^ [_288713] : [ssItem(_288713), -(duplicatefreeP(cons(_288713, nil)))], (1631 ^ _232133) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _232133) ^ [_288958] : [ssItem(_288958), -(equalelemsP(cons(_288958, nil)))], (1639 ^ _232133) ^ [] : [-(equalelemsP(nil))], (1641 ^ _232133) ^ [_289203] : [ssList(_289203), -(nil = _289203), 1649 ^ _232133 : [(1650 ^ _232133) ^ [] : [-(ssItem(1648 ^ [_289203]))], (1652 ^ _232133) ^ [] : [-(hd(_289203) = 1648 ^ [_289203])]]], (1654 ^ _232133) ^ [_289617] : [ssList(_289617), -(nil = _289617), 1662 ^ _232133 : [(1663 ^ _232133) ^ [] : [-(ssList(1661 ^ [_289617]))], (1665 ^ _232133) ^ [] : [-(tl(_289617) = 1661 ^ [_289617])]]], (1667 ^ _232133) ^ [_290031] : [ssList(_290031), 1670 ^ _232133 : [(1671 ^ _232133) ^ [_290197] : [ssList(_290197), -(_290197 = _290031), -(nil = _290197), -(nil = _290031), hd(_290197) = hd(_290031), tl(_290197) = tl(_290031)]]], (1693 ^ _232133) ^ [_290776] : [ssList(_290776), -(nil = _290776), -(cons(hd(_290776), tl(_290776)) = _290776)], (1703 ^ _232133) ^ [_291066] : [ssList(_291066), 1706 ^ _232133 : [(1707 ^ _232133) ^ [_291218] : [ssList(_291218), 1710 ^ _232133 : [(1711 ^ _232133) ^ [_291366] : [ssList(_291366), app(_291366, _291218) = app(_291066, _291218), -(_291366 = _291066)]]]]], (1721 ^ _232133) ^ [_291685] : [ssList(_291685), 1724 ^ _232133 : [(1725 ^ _232133) ^ [_291837] : [ssList(_291837), 1728 ^ _232133 : [(1729 ^ _232133) ^ [_291985] : [ssList(_291985), app(_291837, _291985) = app(_291837, _291685), -(_291985 = _291685)]]]]], (1739 ^ _232133) ^ [_292304] : [ssList(_292304), 1742 ^ _232133 : [(1743 ^ _232133) ^ [_292443] : [ssItem(_292443), -(cons(_292443, _292304) = app(cons(_292443, nil), _292304))]]], (1749 ^ _232133) ^ [_292662] : [ssList(_292662), 1752 ^ _232133 : [(1753 ^ _232133) ^ [_292814] : [ssList(_292814), 1756 ^ _232133 : [(1757 ^ _232133) ^ [_292962] : [ssList(_292962), -(app(app(_292662, _292814), _292962) = app(_292662, app(_292814, _292962)))]]]]], (1763 ^ _232133) ^ [_293200] : [ssList(_293200), 1766 ^ _232133 : [(1767 ^ _232133) ^ [_293345] : [ssList(_293345), 1770 ^ _232133 : [(1771 ^ _232133) ^ [] : [nil = app(_293200, _293345), 1774 ^ _232133 : [(1775 ^ _232133) ^ [] : [-(nil = _293345)], (1777 ^ _232133) ^ [] : [-(nil = _293200)]]], (1779 ^ _232133) ^ [] : [-(nil = app(_293200, _293345)), nil = _293345, nil = _293200]]]]], (1789 ^ _232133) ^ [_293963] : [ssList(_293963), -(app(_293963, nil) = _293963)], (1795 ^ _232133) ^ [_294157] : [ssList(_294157), 1798 ^ _232133 : [(1799 ^ _232133) ^ [_294302] : [ssList(_294302), -(nil = _294157), -(hd(app(_294157, _294302)) = hd(_294157))]]], (1809 ^ _232133) ^ [_294609] : [ssList(_294609), 1812 ^ _232133 : [(1813 ^ _232133) ^ [_294757] : [ssList(_294757), -(nil = _294609), -(tl(app(_294609, _294757)) = app(tl(_294609), _294757))]]], (1823 ^ _232133) ^ [_295070] : [ssItem(_295070), 1826 ^ _232133 : [(1827 ^ _232133) ^ [_295212] : [ssItem(_295212), -(_295070 = _295212), geq(_295070, _295212), geq(_295212, _295070)]]], (1841 ^ _232133) ^ [_295591] : [ssItem(_295591), 1844 ^ _232133 : [(1845 ^ _232133) ^ [_295743] : [ssItem(_295743), 1848 ^ _232133 : [(1849 ^ _232133) ^ [_295891] : [ssItem(_295891), -(geq(_295591, _295891)), geq(_295591, _295743), geq(_295743, _295891)]]]]], (1863 ^ _232133) ^ [_296291] : [ssItem(_296291), -(geq(_296291, _296291))], (1869 ^ _232133) ^ [_296479] : [ssItem(_296479), lt(_296479, _296479)], (1875 ^ _232133) ^ [_296668] : [ssItem(_296668), 1878 ^ _232133 : [(1879 ^ _232133) ^ [_296820] : [ssItem(_296820), 1882 ^ _232133 : [(1883 ^ _232133) ^ [_296968] : [ssItem(_296968), -(lt(_296668, _296968)), leq(_296668, _296820), lt(_296820, _296968)]]]]], (1897 ^ _232133) ^ [_297368] : [ssItem(_297368), 1900 ^ _232133 : [(1901 ^ _232133) ^ [_297510] : [ssItem(_297510), leq(_297368, _297510), -(_297368 = _297510), -(lt(_297368, _297510))]]], (1915 ^ _232133) ^ [_297890] : [ssItem(_297890), 1918 ^ _232133 : [(1919 ^ _232133) ^ [_298034] : [ssItem(_298034), 1922 ^ _232133 : [(1923 ^ _232133) ^ [] : [lt(_297890, _298034), 1926 ^ _232133 : [(1927 ^ _232133) ^ [] : [_297890 = _298034], (1929 ^ _232133) ^ [] : [-(leq(_297890, _298034))]]], (1931 ^ _232133) ^ [] : [-(lt(_297890, _298034)), -(_297890 = _298034), leq(_297890, _298034)]]]]], (1941 ^ _232133) ^ [_298645] : [ssItem(_298645), 1944 ^ _232133 : [(1945 ^ _232133) ^ [_298783] : [ssItem(_298783), gt(_298645, _298783), gt(_298783, _298645)]]], (1955 ^ _232133) ^ [_299054] : [ssItem(_299054), 1958 ^ _232133 : [(1959 ^ _232133) ^ [_299206] : [ssItem(_299206), 1962 ^ _232133 : [(1963 ^ _232133) ^ [_299354] : [ssItem(_299354), -(gt(_299054, _299354)), gt(_299054, _299206), gt(_299206, _299354)]]]]]], input).
% 0.34/1.37  ncf('1',plain,[segmentP(1979 ^ [], 1976 ^ [])],start(2017 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(segmentP(1979 ^ [], 1976 ^ [])), segmentP(1985 ^ [], 1982 ^ []), 1985 ^ [] = 1979 ^ [], 1982 ^ [] = 1976 ^ []],extension(232 ^ 1,bind([[_239411, _239413, _239415, _239417], [1976 ^ [], 1982 ^ [], 1979 ^ [], 1985 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(segmentP(1985 ^ [], 1982 ^ []))],extension(1995 ^ 2)).
% 0.34/1.37  ncf('1.1.2',plain,[-(1985 ^ [] = 1979 ^ []), 1979 ^ [] = 1985 ^ []],extension(4 ^ 2,bind([[_232384, _232386], [1985 ^ [], 1979 ^ []]]))).
% 0.34/1.37  ncf('1.1.2.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 3)).
% 0.34/1.37  ncf('1.1.3',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 2,bind([[_232384, _232386], [1982 ^ [], 1976 ^ []]]))).
% 0.34/1.37  ncf('1.1.3.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------