%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC150+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 12:12:42 EDT 2023

% Result   : Theorem 0.38s 1.37s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC150+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 00:49:30 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.38/1.37  
% 0.38/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  ncf(matrix, plain, [(1978 ^ _229253) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _229253) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _229253) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _229253) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _229253) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _229253) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _229253) ^ [] : [-(neq(1979 ^ [], nil))], (1995 ^ _229253) ^ [] : [neq(1985 ^ [], nil)], (1997 ^ _229253) ^ [] : [singletonP(1979 ^ [])], (246 ^ _229253) ^ [_237057, _237059, _237061, _237063] : [-(cons(_237063, _237059) = cons(_237061, _237057)), _237063 = _237061, _237059 = _237057], (256 ^ _229253) ^ [_237388, _237390] : [_237390 = _237388, -(hd(_237390) = hd(_237388))], (272 ^ _229253) ^ [_237945, _237947] : [_237947 = _237945, -(tl(_237947) = tl(_237945))], (262 ^ _229253) ^ [_237634, _237636, _237638, _237640] : [-(app(_237640, _237636) = app(_237638, _237634)), _237640 = _237638, _237636 = _237634], (2 ^ _229253) ^ [_229397] : [-(_229397 = _229397)], (4 ^ _229253) ^ [_229504, _229506] : [_229506 = _229504, -(_229504 = _229506)], (10 ^ _229253) ^ [_229708, _229710, _229712] : [-(_229712 = _229708), _229712 = _229710, _229710 = _229708], (20 ^ _229253) ^ [_230049, _230051, _230053, _230055] : [-(memberP(_230053, _230049)), memberP(_230055, _230051), _230055 = _230053, _230051 = _230049], (34 ^ _229253) ^ [_230493, _230495, _230497, _230499] : [-(frontsegP(_230497, _230493)), frontsegP(_230499, _230495), _230499 = _230497, _230495 = _230493], (48 ^ _229253) ^ [_230937, _230939, _230941, _230943] : [-(rearsegP(_230941, _230937)), rearsegP(_230943, _230939), _230943 = _230941, _230939 = _230937], (62 ^ _229253) ^ [_231381, _231383, _231385, _231387] : [-(segmentP(_231385, _231381)), segmentP(_231387, _231383), _231387 = _231385, _231383 = _231381], (76 ^ _229253) ^ [_231797, _231799] : [-(cyclefreeP(_231797)), _231799 = _231797, cyclefreeP(_231799)], (86 ^ _229253) ^ [_232092, _232094] : [-(totalorderP(_232092)), _232094 = _232092, totalorderP(_232094)], (96 ^ _229253) ^ [_232387, _232389] : [-(strictorderP(_232387)), _232389 = _232387, strictorderP(_232389)], (106 ^ _229253) ^ [_232682, _232684] : [-(totalorderedP(_232682)), _232684 = _232682, totalorderedP(_232684)], (116 ^ _229253) ^ [_232977, _232979] : [-(strictorderedP(_232977)), _232979 = _232977, strictorderedP(_232979)], (126 ^ _229253) ^ [_233272, _233274] : [-(duplicatefreeP(_233272)), _233274 = _233272, duplicatefreeP(_233274)], (136 ^ _229253) ^ [_233567, _233569] : [-(equalelemsP(_233567)), _233569 = _233567, equalelemsP(_233569)], (146 ^ _229253) ^ [_233890, _233892, _233894, _233896] : [-(geq(_233894, _233890)), geq(_233896, _233892), _233896 = _233894, _233892 = _233890], (160 ^ _229253) ^ [_234334, _234336, _234338, _234340] : [-(lt(_234338, _234334)), lt(_234340, _234336), _234340 = _234338, _234336 = _234334], (174 ^ _229253) ^ [_234778, _234780, _234782, _234784] : [-(leq(_234782, _234778)), leq(_234784, _234780), _234784 = _234782, _234780 = _234778], (188 ^ _229253) ^ [_235194, _235196] : [-(ssItem(_235194)), _235196 = _235194, ssItem(_235196)], (198 ^ _229253) ^ [_235517, _235519, _235521, _235523] : [-(gt(_235521, _235517)), gt(_235523, _235519), _235523 = _235521, _235519 = _235517], (212 ^ _229253) ^ [_235933, _235935] : [-(ssList(_235933)), _235935 = _235933, ssList(_235935)], (236 ^ _229253) ^ [_236652, _236654] : [-(singletonP(_236652)), _236654 = _236652, singletonP(_236654)], (222 ^ _229253) ^ [_236256, _236258, _236260, _236262] : [-(neq(_236260, _236256)), neq(_236262, _236258), _236262 = _236260, _236258 = _236256], (278 ^ _229253) ^ [_238167] : [ssItem(_238167), 281 ^ _229253 : [(282 ^ _229253) ^ [_238305] : [ssItem(_238305), 285 ^ _229253 : [(286 ^ _229253) ^ [] : [neq(_238167, _238305), _238167 = _238305], (292 ^ _229253) ^ [] : [-(_238167 = _238305), -(neq(_238167, _238305))]]]]], (299 ^ _229253) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _229253) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _229253) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _229253) ^ [_239018] : [ssList(_239018), 309 ^ _229253 : [(310 ^ _229253) ^ [_239180] : [ssItem(_239180), 313 ^ _229253 : [(314 ^ _229253) ^ [] : [memberP(_239018, _239180), 318 ^ _229253 : [(319 ^ _229253) ^ [] : [-(ssList(317 ^ [_239018, _239180]))], (322 ^ _229253) ^ [] : [-(ssList(320 ^ [_239018, _239180]))], (324 ^ _229253) ^ [] : [-(app(317 ^ [_239018, _239180], cons(_239180, 320 ^ [_239018, _239180])) = _239018)]]], (326 ^ _229253) ^ [] : [-(memberP(_239018, _239180)), 327 ^ _229253 : [(328 ^ _229253) ^ [_239828] : [ssList(_239828), 331 ^ _229253 : [(332 ^ _229253) ^ [_239976] : [ssList(_239976), app(_239828, cons(_239180, _239976)) = _239018]]]]]]]]], (340 ^ _229253) ^ [_240267] : [ssList(_240267), 343 ^ _229253 : [(344 ^ _229253) ^ [] : [singletonP(_240267), 348 ^ _229253 : [(349 ^ _229253) ^ [] : [-(ssItem(347 ^ [_240267]))], (351 ^ _229253) ^ [] : [-(cons(347 ^ [_240267], nil) = _240267)]]], (353 ^ _229253) ^ [] : [-(singletonP(_240267)), 354 ^ _229253 : [(355 ^ _229253) ^ [_240716] : [ssItem(_240716), cons(_240716, nil) = _240267]]]]], (363 ^ _229253) ^ [_240972] : [ssList(_240972), 366 ^ _229253 : [(367 ^ _229253) ^ [_241121] : [ssList(_241121), 370 ^ _229253 : [(371 ^ _229253) ^ [] : [frontsegP(_240972, _241121), 375 ^ _229253 : [(376 ^ _229253) ^ [] : [-(ssList(374 ^ [_240972, _241121]))], (378 ^ _229253) ^ [] : [-(app(_241121, 374 ^ [_240972, _241121]) = _240972)]]], (380 ^ _229253) ^ [] : [-(frontsegP(_240972, _241121)), 381 ^ _229253 : [(382 ^ _229253) ^ [_241596] : [ssList(_241596), app(_241121, _241596) = _240972]]]]]]], (390 ^ _229253) ^ [_241868] : [ssList(_241868), 393 ^ _229253 : [(394 ^ _229253) ^ [_242017] : [ssList(_242017), 397 ^ _229253 : [(398 ^ _229253) ^ [] : [rearsegP(_241868, _242017), 402 ^ _229253 : [(403 ^ _229253) ^ [] : [-(ssList(401 ^ [_241868, _242017]))], (405 ^ _229253) ^ [] : [-(app(401 ^ [_241868, _242017], _242017) = _241868)]]], (407 ^ _229253) ^ [] : [-(rearsegP(_241868, _242017)), 408 ^ _229253 : [(409 ^ _229253) ^ [_242492] : [ssList(_242492), app(_242492, _242017) = _241868]]]]]]], (417 ^ _229253) ^ [_242764] : [ssList(_242764), 420 ^ _229253 : [(421 ^ _229253) ^ [_242926] : [ssList(_242926), 424 ^ _229253 : [(425 ^ _229253) ^ [] : [segmentP(_242764, _242926), 429 ^ _229253 : [(430 ^ _229253) ^ [] : [-(ssList(428 ^ [_242764, _242926]))], (433 ^ _229253) ^ [] : [-(ssList(431 ^ [_242764, _242926]))], (435 ^ _229253) ^ [] : [-(app(app(428 ^ [_242764, _242926], _242926), 431 ^ [_242764, _242926]) = _242764)]]], (437 ^ _229253) ^ [] : [-(segmentP(_242764, _242926)), 438 ^ _229253 : [(439 ^ _229253) ^ [_243574] : [ssList(_243574), 442 ^ _229253 : [(443 ^ _229253) ^ [_243722] : [ssList(_243722), app(app(_243574, _242926), _243722) = _242764]]]]]]]]], (451 ^ _229253) ^ [_244013] : [ssList(_244013), 454 ^ _229253 : [(489 ^ _229253) ^ [] : [491 ^ _229253 : [(492 ^ _229253) ^ [] : [-(ssItem(490 ^ [_244013]))], (495 ^ _229253) ^ [] : [-(ssItem(493 ^ [_244013]))], (498 ^ _229253) ^ [] : [-(ssList(496 ^ [_244013]))], (501 ^ _229253) ^ [] : [-(ssList(499 ^ [_244013]))], (504 ^ _229253) ^ [] : [-(ssList(502 ^ [_244013]))], (506 ^ _229253) ^ [] : [-(app(app(496 ^ [_244013], cons(490 ^ [_244013], 499 ^ [_244013])), cons(493 ^ [_244013], 502 ^ [_244013])) = _244013)], (508 ^ _229253) ^ [] : [-(leq(490 ^ [_244013], 493 ^ [_244013]))], (510 ^ _229253) ^ [] : [-(leq(493 ^ [_244013], 490 ^ [_244013]))]], -(cyclefreeP(_244013))], (455 ^ _229253) ^ [] : [cyclefreeP(_244013), 458 ^ _229253 : [(459 ^ _229253) ^ [_244317] : [ssItem(_244317), 462 ^ _229253 : [(463 ^ _229253) ^ [_244509] : [ssItem(_244509), 466 ^ _229253 : [(467 ^ _229253) ^ [_244697] : [ssList(_244697), 470 ^ _229253 : [(471 ^ _229253) ^ [_244881] : [ssList(_244881), 474 ^ _229253 : [(475 ^ _229253) ^ [_245061] : [ssList(_245061), app(app(_244697, cons(_244317, _244881)), cons(_244509, _245061)) = _244013, leq(_244317, _244509), leq(_244509, _244317)]]]]]]]]]]]]], (514 ^ _229253) ^ [_246799] : [ssList(_246799), 517 ^ _229253 : [(552 ^ _229253) ^ [] : [554 ^ _229253 : [(555 ^ _229253) ^ [] : [-(ssItem(553 ^ [_246799]))], (558 ^ _229253) ^ [] : [-(ssItem(556 ^ [_246799]))], (561 ^ _229253) ^ [] : [-(ssList(559 ^ [_246799]))], (564 ^ _229253) ^ [] : [-(ssList(562 ^ [_246799]))], (567 ^ _229253) ^ [] : [-(ssList(565 ^ [_246799]))], (569 ^ _229253) ^ [] : [-(app(app(559 ^ [_246799], cons(553 ^ [_246799], 562 ^ [_246799])), cons(556 ^ [_246799], 565 ^ [_246799])) = _246799)], (571 ^ _229253) ^ [] : [leq(553 ^ [_246799], 556 ^ [_246799])], (573 ^ _229253) ^ [] : [leq(556 ^ [_246799], 553 ^ [_246799])]], -(totalorderP(_246799))], (518 ^ _229253) ^ [] : [totalorderP(_246799), 521 ^ _229253 : [(522 ^ _229253) ^ [_247101] : [ssItem(_247101), 525 ^ _229253 : [(526 ^ _229253) ^ [_247291] : [ssItem(_247291), 529 ^ _229253 : [(530 ^ _229253) ^ [_247477] : [ssList(_247477), 533 ^ _229253 : [(534 ^ _229253) ^ [_247659] : [ssList(_247659), 537 ^ _229253 : [(538 ^ _229253) ^ [_247837] : [ssList(_247837), app(app(_247477, cons(_247101, _247659)), cons(_247291, _247837)) = _246799, -(leq(_247101, _247291)), -(leq(_247291, _247101))]]]]]]]]]]]]], (577 ^ _229253) ^ [_249563] : [ssList(_249563), 580 ^ _229253 : [(615 ^ _229253) ^ [] : [617 ^ _229253 : [(618 ^ _229253) ^ [] : [-(ssItem(616 ^ [_249563]))], (621 ^ _229253) ^ [] : [-(ssItem(619 ^ [_249563]))], (624 ^ _229253) ^ [] : [-(ssList(622 ^ [_249563]))], (627 ^ _229253) ^ [] : [-(ssList(625 ^ [_249563]))], (630 ^ _229253) ^ [] : [-(ssList(628 ^ [_249563]))], (632 ^ _229253) ^ [] : [-(app(app(622 ^ [_249563], cons(616 ^ [_249563], 625 ^ [_249563])), cons(619 ^ [_249563], 628 ^ [_249563])) = _249563)], (634 ^ _229253) ^ [] : [lt(616 ^ [_249563], 619 ^ [_249563])], (636 ^ _229253) ^ [] : [lt(619 ^ [_249563], 616 ^ [_249563])]], -(strictorderP(_249563))], (581 ^ _229253) ^ [] : [strictorderP(_249563), 584 ^ _229253 : [(585 ^ _229253) ^ [_249865] : [ssItem(_249865), 588 ^ _229253 : [(589 ^ _229253) ^ [_250055] : [ssItem(_250055), 592 ^ _229253 : [(593 ^ _229253) ^ [_250241] : [ssList(_250241), 596 ^ _229253 : [(597 ^ _229253) ^ [_250423] : [ssList(_250423), 600 ^ _229253 : [(601 ^ _229253) ^ [_250601] : [ssList(_250601), app(app(_250241, cons(_249865, _250423)), cons(_250055, _250601)) = _249563, -(lt(_249865, _250055)), -(lt(_250055, _249865))]]]]]]]]]]]]], (640 ^ _229253) ^ [_252327] : [ssList(_252327), 643 ^ _229253 : [(674 ^ _229253) ^ [] : [676 ^ _229253 : [(677 ^ _229253) ^ [] : [-(ssItem(675 ^ [_252327]))], (680 ^ _229253) ^ [] : [-(ssItem(678 ^ [_252327]))], (683 ^ _229253) ^ [] : [-(ssList(681 ^ [_252327]))], (686 ^ _229253) ^ [] : [-(ssList(684 ^ [_252327]))], (689 ^ _229253) ^ [] : [-(ssList(687 ^ [_252327]))], (691 ^ _229253) ^ [] : [-(app(app(681 ^ [_252327], cons(675 ^ [_252327], 684 ^ [_252327])), cons(678 ^ [_252327], 687 ^ [_252327])) = _252327)], (693 ^ _229253) ^ [] : [leq(675 ^ [_252327], 678 ^ [_252327])]], -(totalorderedP(_252327))], (644 ^ _229253) ^ [] : [totalorderedP(_252327), 647 ^ _229253 : [(648 ^ _229253) ^ [_252623] : [ssItem(_252623), 651 ^ _229253 : [(652 ^ _229253) ^ [_252807] : [ssItem(_252807), 655 ^ _229253 : [(656 ^ _229253) ^ [_252987] : [ssList(_252987), 659 ^ _229253 : [(660 ^ _229253) ^ [_253163] : [ssList(_253163), 663 ^ _229253 : [(664 ^ _229253) ^ [_253335] : [ssList(_253335), app(app(_252987, cons(_252623, _253163)), cons(_252807, _253335)) = _252327, -(leq(_252623, _252807))]]]]]]]]]]]]], (697 ^ _229253) ^ [_254815] : [ssList(_254815), 700 ^ _229253 : [(731 ^ _229253) ^ [] : [733 ^ _229253 : [(734 ^ _229253) ^ [] : [-(ssItem(732 ^ [_254815]))], (737 ^ _229253) ^ [] : [-(ssItem(735 ^ [_254815]))], (740 ^ _229253) ^ [] : [-(ssList(738 ^ [_254815]))], (743 ^ _229253) ^ [] : [-(ssList(741 ^ [_254815]))], (746 ^ _229253) ^ [] : [-(ssList(744 ^ [_254815]))], (748 ^ _229253) ^ [] : [-(app(app(738 ^ [_254815], cons(732 ^ [_254815], 741 ^ [_254815])), cons(735 ^ [_254815], 744 ^ [_254815])) = _254815)], (750 ^ _229253) ^ [] : [lt(732 ^ [_254815], 735 ^ [_254815])]], -(strictorderedP(_254815))], (701 ^ _229253) ^ [] : [strictorderedP(_254815), 704 ^ _229253 : [(705 ^ _229253) ^ [_255111] : [ssItem(_255111), 708 ^ _229253 : [(709 ^ _229253) ^ [_255295] : [ssItem(_255295), 712 ^ _229253 : [(713 ^ _229253) ^ [_255475] : [ssList(_255475), 716 ^ _229253 : [(717 ^ _229253) ^ [_255651] : [ssList(_255651), 720 ^ _229253 : [(721 ^ _229253) ^ [_255823] : [ssList(_255823), app(app(_255475, cons(_255111, _255651)), cons(_255295, _255823)) = _254815, -(lt(_255111, _255295))]]]]]]]]]]]]], (754 ^ _229253) ^ [_257303] : [ssList(_257303), 757 ^ _229253 : [(788 ^ _229253) ^ [] : [790 ^ _229253 : [(791 ^ _229253) ^ [] : [-(ssItem(789 ^ [_257303]))], (794 ^ _229253) ^ [] : [-(ssItem(792 ^ [_257303]))], (797 ^ _229253) ^ [] : [-(ssList(795 ^ [_257303]))], (800 ^ _229253) ^ [] : [-(ssList(798 ^ [_257303]))], (803 ^ _229253) ^ [] : [-(ssList(801 ^ [_257303]))], (805 ^ _229253) ^ [] : [-(app(app(795 ^ [_257303], cons(789 ^ [_257303], 798 ^ [_257303])), cons(792 ^ [_257303], 801 ^ [_257303])) = _257303)], (807 ^ _229253) ^ [] : [-(789 ^ [_257303] = 792 ^ [_257303])]], -(duplicatefreeP(_257303))], (758 ^ _229253) ^ [] : [duplicatefreeP(_257303), 761 ^ _229253 : [(762 ^ _229253) ^ [_257601] : [ssItem(_257601), 765 ^ _229253 : [(766 ^ _229253) ^ [_257787] : [ssItem(_257787), 769 ^ _229253 : [(770 ^ _229253) ^ [_257969] : [ssList(_257969), 773 ^ _229253 : [(774 ^ _229253) ^ [_258147] : [ssList(_258147), 777 ^ _229253 : [(778 ^ _229253) ^ [_258321] : [ssList(_258321), app(app(_257969, cons(_257601, _258147)), cons(_257787, _258321)) = _257303, _257601 = _257787]]]]]]]]]]]]], (811 ^ _229253) ^ [_259813] : [ssList(_259813), 814 ^ _229253 : [(841 ^ _229253) ^ [] : [843 ^ _229253 : [(844 ^ _229253) ^ [] : [-(ssItem(842 ^ [_259813]))], (847 ^ _229253) ^ [] : [-(ssItem(845 ^ [_259813]))], (850 ^ _229253) ^ [] : [-(ssList(848 ^ [_259813]))], (853 ^ _229253) ^ [] : [-(ssList(851 ^ [_259813]))], (855 ^ _229253) ^ [] : [-(app(848 ^ [_259813], cons(842 ^ [_259813], cons(845 ^ [_259813], 851 ^ [_259813]))) = _259813)], (857 ^ _229253) ^ [] : [842 ^ [_259813] = 845 ^ [_259813]]], -(equalelemsP(_259813))], (815 ^ _229253) ^ [] : [equalelemsP(_259813), 818 ^ _229253 : [(819 ^ _229253) ^ [_260096] : [ssItem(_260096), 822 ^ _229253 : [(823 ^ _229253) ^ [_260267] : [ssItem(_260267), 826 ^ _229253 : [(827 ^ _229253) ^ [_260434] : [ssList(_260434), 830 ^ _229253 : [(831 ^ _229253) ^ [_260597] : [ssList(_260597), app(_260434, cons(_260096, cons(_260267, _260597))) = _259813, -(_260096 = _260267)]]]]]]]]]]], (861 ^ _229253) ^ [_261830] : [ssList(_261830), 864 ^ _229253 : [(865 ^ _229253) ^ [_261968] : [ssList(_261968), 868 ^ _229253 : [(869 ^ _229253) ^ [] : [neq(_261830, _261968), _261830 = _261968], (875 ^ _229253) ^ [] : [-(_261830 = _261968), -(neq(_261830, _261968))]]]]], (881 ^ _229253) ^ [_262421] : [ssList(_262421), 884 ^ _229253 : [(885 ^ _229253) ^ [_262553] : [ssItem(_262553), -(ssList(cons(_262553, _262421)))]]], (891 ^ _229253) ^ [] : [-(ssList(nil))], (893 ^ _229253) ^ [_262811] : [ssList(_262811), 896 ^ _229253 : [(897 ^ _229253) ^ [_262946] : [ssItem(_262946), cons(_262946, _262811) = _262811]]], (903 ^ _229253) ^ [_263154] : [ssList(_263154), 906 ^ _229253 : [(907 ^ _229253) ^ [_263322] : [ssList(_263322), 910 ^ _229253 : [(911 ^ _229253) ^ [_263486] : [ssItem(_263486), 914 ^ _229253 : [(915 ^ _229253) ^ [_263646] : [ssItem(_263646), cons(_263486, _263154) = cons(_263646, _263322), 922 ^ _229253 : [(923 ^ _229253) ^ [] : [-(_263486 = _263646)], (925 ^ _229253) ^ [] : [-(_263322 = _263154)]]]]]]]]], (927 ^ _229253) ^ [_264061] : [ssList(_264061), -(nil = _264061), 935 ^ _229253 : [(936 ^ _229253) ^ [] : [-(ssList(934 ^ [_264061]))], (939 ^ _229253) ^ [] : [-(ssItem(937 ^ [_264061]))], (941 ^ _229253) ^ [] : [-(cons(937 ^ [_264061], 934 ^ [_264061]) = _264061)]]], (943 ^ _229253) ^ [_264625] : [ssList(_264625), 946 ^ _229253 : [(947 ^ _229253) ^ [_264760] : [ssItem(_264760), nil = cons(_264760, _264625)]]], (953 ^ _229253) ^ [_264968] : [ssList(_264968), -(nil = _264968), -(ssItem(hd(_264968)))], (963 ^ _229253) ^ [_265246] : [ssList(_265246), 966 ^ _229253 : [(967 ^ _229253) ^ [_265381] : [ssItem(_265381), -(hd(cons(_265381, _265246)) = _265381)]]], (973 ^ _229253) ^ [_265592] : [ssList(_265592), -(nil = _265592), -(ssList(tl(_265592)))], (983 ^ _229253) ^ [_265870] : [ssList(_265870), 986 ^ _229253 : [(987 ^ _229253) ^ [_266005] : [ssItem(_266005), -(tl(cons(_266005, _265870)) = _265870)]]], (993 ^ _229253) ^ [_266216] : [ssList(_266216), 996 ^ _229253 : [(997 ^ _229253) ^ [_266348] : [ssList(_266348), -(ssList(app(_266216, _266348)))]]], (1003 ^ _229253) ^ [_266553] : [ssList(_266553), 1006 ^ _229253 : [(1007 ^ _229253) ^ [_266705] : [ssList(_266705), 1010 ^ _229253 : [(1011 ^ _229253) ^ [_266853] : [ssItem(_266853), -(cons(_266853, app(_266705, _266553)) = app(cons(_266853, _266705), _266553))]]]]], (1017 ^ _229253) ^ [_267091] : [ssList(_267091), -(app(nil, _267091) = _267091)], (1023 ^ _229253) ^ [_267285] : [ssItem(_267285), 1026 ^ _229253 : [(1027 ^ _229253) ^ [_267427] : [ssItem(_267427), -(_267285 = _267427), leq(_267285, _267427), leq(_267427, _267285)]]], (1041 ^ _229253) ^ [_267806] : [ssItem(_267806), 1044 ^ _229253 : [(1045 ^ _229253) ^ [_267958] : [ssItem(_267958), 1048 ^ _229253 : [(1049 ^ _229253) ^ [_268106] : [ssItem(_268106), -(leq(_267806, _268106)), leq(_267806, _267958), leq(_267958, _268106)]]]]], (1063 ^ _229253) ^ [_268506] : [ssItem(_268506), -(leq(_268506, _268506))], (1069 ^ _229253) ^ [_268694] : [ssItem(_268694), 1072 ^ _229253 : [(1073 ^ _229253) ^ [_268830] : [ssItem(_268830), 1076 ^ _229253 : [(1077 ^ _229253) ^ [] : [geq(_268694, _268830), -(leq(_268830, _268694))], (1083 ^ _229253) ^ [] : [leq(_268830, _268694), -(geq(_268694, _268830))]]]]], (1089 ^ _229253) ^ [_269281] : [ssItem(_269281), 1092 ^ _229253 : [(1093 ^ _229253) ^ [_269419] : [ssItem(_269419), lt(_269281, _269419), lt(_269419, _269281)]]], (1103 ^ _229253) ^ [_269710] : [ssItem(_269710), 1106 ^ _229253 : [(1107 ^ _229253) ^ [_269862] : [ssItem(_269862), 1110 ^ _229253 : [(1111 ^ _229253) ^ [_270010] : [ssItem(_270010), -(lt(_269710, _270010)), lt(_269710, _269862), lt(_269862, _270010)]]]]], (1125 ^ _229253) ^ [_270410] : [ssItem(_270410), 1128 ^ _229253 : [(1129 ^ _229253) ^ [_270546] : [ssItem(_270546), 1132 ^ _229253 : [(1133 ^ _229253) ^ [] : [gt(_270410, _270546), -(lt(_270546, _270410))], (1139 ^ _229253) ^ [] : [lt(_270546, _270410), -(gt(_270410, _270546))]]]]], (1145 ^ _229253) ^ [_270997] : [ssItem(_270997), 1148 ^ _229253 : [(1149 ^ _229253) ^ [_271152] : [ssList(_271152), 1152 ^ _229253 : [(1153 ^ _229253) ^ [_271303] : [ssList(_271303), 1156 ^ _229253 : [(1167 ^ _229253) ^ [] : [1168 ^ _229253 : [(1169 ^ _229253) ^ [] : [memberP(_271152, _270997)], (1171 ^ _229253) ^ [] : [memberP(_271303, _270997)]], -(memberP(app(_271152, _271303), _270997))], (1157 ^ _229253) ^ [] : [memberP(app(_271152, _271303), _270997), -(memberP(_271152, _270997)), -(memberP(_271303, _270997))]]]]]]], (1175 ^ _229253) ^ [_271950] : [ssItem(_271950), 1178 ^ _229253 : [(1179 ^ _229253) ^ [_272105] : [ssItem(_272105), 1182 ^ _229253 : [(1183 ^ _229253) ^ [_272256] : [ssList(_272256), 1186 ^ _229253 : [(1197 ^ _229253) ^ [] : [1198 ^ _229253 : [(1199 ^ _229253) ^ [] : [_271950 = _272105], (1201 ^ _229253) ^ [] : [memberP(_272256, _271950)]], -(memberP(cons(_272105, _272256), _271950))], (1187 ^ _229253) ^ [] : [memberP(cons(_272105, _272256), _271950), -(_271950 = _272105), -(memberP(_272256, _271950))]]]]]]], (1205 ^ _229253) ^ [_272903] : [ssItem(_272903), memberP(nil, _272903)], (1211 ^ _229253) ^ [] : [singletonP(nil)], (1213 ^ _229253) ^ [_273144] : [ssList(_273144), 1216 ^ _229253 : [(1217 ^ _229253) ^ [_273296] : [ssList(_273296), 1220 ^ _229253 : [(1221 ^ _229253) ^ [_273444] : [ssList(_273444), -(frontsegP(_273144, _273444)), frontsegP(_273144, _273296), frontsegP(_273296, _273444)]]]]], (1235 ^ _229253) ^ [_273844] : [ssList(_273844), 1238 ^ _229253 : [(1239 ^ _229253) ^ [_273986] : [ssList(_273986), -(_273844 = _273986), frontsegP(_273844, _273986), frontsegP(_273986, _273844)]]], (1253 ^ _229253) ^ [_274365] : [ssList(_274365), -(frontsegP(_274365, _274365))], (1259 ^ _229253) ^ [_274553] : [ssList(_274553), 1262 ^ _229253 : [(1263 ^ _229253) ^ [_274702] : [ssList(_274702), 1266 ^ _229253 : [(1267 ^ _229253) ^ [_274847] : [ssList(_274847), frontsegP(_274553, _274702), -(frontsegP(app(_274553, _274847), _274702))]]]]], (1277 ^ _229253) ^ [_275160] : [ssItem(_275160), 1280 ^ _229253 : [(1281 ^ _229253) ^ [_275328] : [ssItem(_275328), 1284 ^ _229253 : [(1285 ^ _229253) ^ [_275492] : [ssList(_275492), 1288 ^ _229253 : [(1289 ^ _229253) ^ [_275652] : [ssList(_275652), 1292 ^ _229253 : [(1293 ^ _229253) ^ [] : [frontsegP(cons(_275160, _275492), cons(_275328, _275652)), 1296 ^ _229253 : [(1297 ^ _229253) ^ [] : [-(_275160 = _275328)], (1299 ^ _229253) ^ [] : [-(frontsegP(_275492, _275652))]]], (1301 ^ _229253) ^ [] : [-(frontsegP(cons(_275160, _275492), cons(_275328, _275652))), _275160 = _275328, frontsegP(_275492, _275652)]]]]]]]]], (1311 ^ _229253) ^ [_276337] : [ssList(_276337), -(frontsegP(_276337, nil))], (1317 ^ _229253) ^ [_276525] : [ssList(_276525), 1320 ^ _229253 : [(1321 ^ _229253) ^ [] : [frontsegP(nil, _276525), -(nil = _276525)], (1327 ^ _229253) ^ [] : [nil = _276525, -(frontsegP(nil, _276525))]]], (1333 ^ _229253) ^ [_276953] : [ssList(_276953), 1336 ^ _229253 : [(1337 ^ _229253) ^ [_277105] : [ssList(_277105), 1340 ^ _229253 : [(1341 ^ _229253) ^ [_277253] : [ssList(_277253), -(rearsegP(_276953, _277253)), rearsegP(_276953, _277105), rearsegP(_277105, _277253)]]]]], (1355 ^ _229253) ^ [_277653] : [ssList(_277653), 1358 ^ _229253 : [(1359 ^ _229253) ^ [_277795] : [ssList(_277795), -(_277653 = _277795), rearsegP(_277653, _277795), rearsegP(_277795, _277653)]]], (1373 ^ _229253) ^ [_278174] : [ssList(_278174), -(rearsegP(_278174, _278174))], (1379 ^ _229253) ^ [_278362] : [ssList(_278362), 1382 ^ _229253 : [(1383 ^ _229253) ^ [_278511] : [ssList(_278511), 1386 ^ _229253 : [(1387 ^ _229253) ^ [_278656] : [ssList(_278656), rearsegP(_278362, _278511), -(rearsegP(app(_278656, _278362), _278511))]]]]], (1397 ^ _229253) ^ [_278969] : [ssList(_278969), -(rearsegP(_278969, nil))], (1403 ^ _229253) ^ [_279157] : [ssList(_279157), 1406 ^ _229253 : [(1407 ^ _229253) ^ [] : [rearsegP(nil, _279157), -(nil = _279157)], (1413 ^ _229253) ^ [] : [nil = _279157, -(rearsegP(nil, _279157))]]], (1419 ^ _229253) ^ [_279585] : [ssList(_279585), 1422 ^ _229253 : [(1423 ^ _229253) ^ [_279737] : [ssList(_279737), 1426 ^ _229253 : [(1427 ^ _229253) ^ [_279885] : [ssList(_279885), -(segmentP(_279585, _279885)), segmentP(_279585, _279737), segmentP(_279737, _279885)]]]]], (1441 ^ _229253) ^ [_280285] : [ssList(_280285), 1444 ^ _229253 : [(1445 ^ _229253) ^ [_280427] : [ssList(_280427), -(_280285 = _280427), segmentP(_280285, _280427), segmentP(_280427, _280285)]]], (1459 ^ _229253) ^ [_280806] : [ssList(_280806), -(segmentP(_280806, _280806))], (1465 ^ _229253) ^ [_280994] : [ssList(_280994), 1468 ^ _229253 : [(1469 ^ _229253) ^ [_281156] : [ssList(_281156), 1472 ^ _229253 : [(1473 ^ _229253) ^ [_281314] : [ssList(_281314), 1476 ^ _229253 : [(1477 ^ _229253) ^ [_281468] : [ssList(_281468), segmentP(_280994, _281156), -(segmentP(app(app(_281314, _280994), _281468), _281156))]]]]]]], (1487 ^ _229253) ^ [_281804] : [ssList(_281804), -(segmentP(_281804, nil))], (1493 ^ _229253) ^ [_281992] : [ssList(_281992), 1496 ^ _229253 : [(1497 ^ _229253) ^ [] : [segmentP(nil, _281992), -(nil = _281992)], (1503 ^ _229253) ^ [] : [nil = _281992, -(segmentP(nil, _281992))]]], (1509 ^ _229253) ^ [_282420] : [ssItem(_282420), -(cyclefreeP(cons(_282420, nil)))], (1515 ^ _229253) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _229253) ^ [_282665] : [ssItem(_282665), -(totalorderP(cons(_282665, nil)))], (1523 ^ _229253) ^ [] : [-(totalorderP(nil))], (1525 ^ _229253) ^ [_282910] : [ssItem(_282910), -(strictorderP(cons(_282910, nil)))], (1531 ^ _229253) ^ [] : [-(strictorderP(nil))], (1533 ^ _229253) ^ [_283155] : [ssItem(_283155), -(totalorderedP(cons(_283155, nil)))], (1539 ^ _229253) ^ [] : [-(totalorderedP(nil))], (1541 ^ _229253) ^ [_283400] : [ssItem(_283400), 1544 ^ _229253 : [(1545 ^ _229253) ^ [_283559] : [ssList(_283559), 1548 ^ _229253 : [(1549 ^ _229253) ^ [] : [totalorderedP(cons(_283400, _283559)), -(nil = _283559), 1556 ^ _229253 : [(1557 ^ _229253) ^ [] : [nil = _283559], (1559 ^ _229253) ^ [] : [-(totalorderedP(_283559))], (1561 ^ _229253) ^ [] : [-(leq(_283400, hd(_283559)))]]], (1563 ^ _229253) ^ [] : [-(totalorderedP(cons(_283400, _283559))), 1564 ^ _229253 : [(1565 ^ _229253) ^ [] : [nil = _283559], (1567 ^ _229253) ^ [] : [-(nil = _283559), totalorderedP(_283559), leq(_283400, hd(_283559))]]]]]]], (1579 ^ _229253) ^ [_284494] : [ssItem(_284494), -(strictorderedP(cons(_284494, nil)))], (1585 ^ _229253) ^ [] : [-(strictorderedP(nil))], (1587 ^ _229253) ^ [_284739] : [ssItem(_284739), 1590 ^ _229253 : [(1591 ^ _229253) ^ [_284898] : [ssList(_284898), 1594 ^ _229253 : [(1595 ^ _229253) ^ [] : [strictorderedP(cons(_284739, _284898)), -(nil = _284898), 1602 ^ _229253 : [(1603 ^ _229253) ^ [] : [nil = _284898], (1605 ^ _229253) ^ [] : [-(strictorderedP(_284898))], (1607 ^ _229253) ^ [] : [-(lt(_284739, hd(_284898)))]]], (1609 ^ _229253) ^ [] : [-(strictorderedP(cons(_284739, _284898))), 1610 ^ _229253 : [(1611 ^ _229253) ^ [] : [nil = _284898], (1613 ^ _229253) ^ [] : [-(nil = _284898), strictorderedP(_284898), lt(_284739, hd(_284898))]]]]]]], (1625 ^ _229253) ^ [_285833] : [ssItem(_285833), -(duplicatefreeP(cons(_285833, nil)))], (1631 ^ _229253) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _229253) ^ [_286078] : [ssItem(_286078), -(equalelemsP(cons(_286078, nil)))], (1639 ^ _229253) ^ [] : [-(equalelemsP(nil))], (1641 ^ _229253) ^ [_286323] : [ssList(_286323), -(nil = _286323), 1649 ^ _229253 : [(1650 ^ _229253) ^ [] : [-(ssItem(1648 ^ [_286323]))], (1652 ^ _229253) ^ [] : [-(hd(_286323) = 1648 ^ [_286323])]]], (1654 ^ _229253) ^ [_286737] : [ssList(_286737), -(nil = _286737), 1662 ^ _229253 : [(1663 ^ _229253) ^ [] : [-(ssList(1661 ^ [_286737]))], (1665 ^ _229253) ^ [] : [-(tl(_286737) = 1661 ^ [_286737])]]], (1667 ^ _229253) ^ [_287151] : [ssList(_287151), 1670 ^ _229253 : [(1671 ^ _229253) ^ [_287317] : [ssList(_287317), -(_287317 = _287151), -(nil = _287317), -(nil = _287151), hd(_287317) = hd(_287151), tl(_287317) = tl(_287151)]]], (1693 ^ _229253) ^ [_287896] : [ssList(_287896), -(nil = _287896), -(cons(hd(_287896), tl(_287896)) = _287896)], (1703 ^ _229253) ^ [_288186] : [ssList(_288186), 1706 ^ _229253 : [(1707 ^ _229253) ^ [_288338] : [ssList(_288338), 1710 ^ _229253 : [(1711 ^ _229253) ^ [_288486] : [ssList(_288486), app(_288486, _288338) = app(_288186, _288338), -(_288486 = _288186)]]]]], (1721 ^ _229253) ^ [_288805] : [ssList(_288805), 1724 ^ _229253 : [(1725 ^ _229253) ^ [_288957] : [ssList(_288957), 1728 ^ _229253 : [(1729 ^ _229253) ^ [_289105] : [ssList(_289105), app(_288957, _289105) = app(_288957, _288805), -(_289105 = _288805)]]]]], (1739 ^ _229253) ^ [_289424] : [ssList(_289424), 1742 ^ _229253 : [(1743 ^ _229253) ^ [_289563] : [ssItem(_289563), -(cons(_289563, _289424) = app(cons(_289563, nil), _289424))]]], (1749 ^ _229253) ^ [_289782] : [ssList(_289782), 1752 ^ _229253 : [(1753 ^ _229253) ^ [_289934] : [ssList(_289934), 1756 ^ _229253 : [(1757 ^ _229253) ^ [_290082] : [ssList(_290082), -(app(app(_289782, _289934), _290082) = app(_289782, app(_289934, _290082)))]]]]], (1763 ^ _229253) ^ [_290320] : [ssList(_290320), 1766 ^ _229253 : [(1767 ^ _229253) ^ [_290465] : [ssList(_290465), 1770 ^ _229253 : [(1771 ^ _229253) ^ [] : [nil = app(_290320, _290465), 1774 ^ _229253 : [(1775 ^ _229253) ^ [] : [-(nil = _290465)], (1777 ^ _229253) ^ [] : [-(nil = _290320)]]], (1779 ^ _229253) ^ [] : [-(nil = app(_290320, _290465)), nil = _290465, nil = _290320]]]]], (1789 ^ _229253) ^ [_291083] : [ssList(_291083), -(app(_291083, nil) = _291083)], (1795 ^ _229253) ^ [_291277] : [ssList(_291277), 1798 ^ _229253 : [(1799 ^ _229253) ^ [_291422] : [ssList(_291422), -(nil = _291277), -(hd(app(_291277, _291422)) = hd(_291277))]]], (1809 ^ _229253) ^ [_291729] : [ssList(_291729), 1812 ^ _229253 : [(1813 ^ _229253) ^ [_291877] : [ssList(_291877), -(nil = _291729), -(tl(app(_291729, _291877)) = app(tl(_291729), _291877))]]], (1823 ^ _229253) ^ [_292190] : [ssItem(_292190), 1826 ^ _229253 : [(1827 ^ _229253) ^ [_292332] : [ssItem(_292332), -(_292190 = _292332), geq(_292190, _292332), geq(_292332, _292190)]]], (1841 ^ _229253) ^ [_292711] : [ssItem(_292711), 1844 ^ _229253 : [(1845 ^ _229253) ^ [_292863] : [ssItem(_292863), 1848 ^ _229253 : [(1849 ^ _229253) ^ [_293011] : [ssItem(_293011), -(geq(_292711, _293011)), geq(_292711, _292863), geq(_292863, _293011)]]]]], (1863 ^ _229253) ^ [_293411] : [ssItem(_293411), -(geq(_293411, _293411))], (1869 ^ _229253) ^ [_293599] : [ssItem(_293599), lt(_293599, _293599)], (1875 ^ _229253) ^ [_293788] : [ssItem(_293788), 1878 ^ _229253 : [(1879 ^ _229253) ^ [_293940] : [ssItem(_293940), 1882 ^ _229253 : [(1883 ^ _229253) ^ [_294088] : [ssItem(_294088), -(lt(_293788, _294088)), leq(_293788, _293940), lt(_293940, _294088)]]]]], (1897 ^ _229253) ^ [_294488] : [ssItem(_294488), 1900 ^ _229253 : [(1901 ^ _229253) ^ [_294630] : [ssItem(_294630), leq(_294488, _294630), -(_294488 = _294630), -(lt(_294488, _294630))]]], (1915 ^ _229253) ^ [_295010] : [ssItem(_295010), 1918 ^ _229253 : [(1919 ^ _229253) ^ [_295154] : [ssItem(_295154), 1922 ^ _229253 : [(1923 ^ _229253) ^ [] : [lt(_295010, _295154), 1926 ^ _229253 : [(1927 ^ _229253) ^ [] : [_295010 = _295154], (1929 ^ _229253) ^ [] : [-(leq(_295010, _295154))]]], (1931 ^ _229253) ^ [] : [-(lt(_295010, _295154)), -(_295010 = _295154), leq(_295010, _295154)]]]]], (1941 ^ _229253) ^ [_295765] : [ssItem(_295765), 1944 ^ _229253 : [(1945 ^ _229253) ^ [_295903] : [ssItem(_295903), gt(_295765, _295903), gt(_295903, _295765)]]], (1955 ^ _229253) ^ [_296174] : [ssItem(_296174), 1958 ^ _229253 : [(1959 ^ _229253) ^ [_296326] : [ssItem(_296326), 1962 ^ _229253 : [(1963 ^ _229253) ^ [_296474] : [ssItem(_296474), -(gt(_296174, _296474)), gt(_296174, _296326), gt(_296326, _296474)]]]]]], input).
% 0.38/1.37  ncf('1',plain,[neq(1985 ^ [], nil)],start(1995 ^ 0)).
% 0.38/1.37  ncf('1.1',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(222 ^ 1,bind([[_236256, _236258, _236260, _236262], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 0.38/1.37  ncf('1.1.1',plain,[-(neq(1979 ^ [], nil))],extension(1993 ^ 2)).
% 0.38/1.37  ncf('1.1.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 2)).
% 0.38/1.37  ncf('1.1.3',plain,[-(nil = nil)],extension(2 ^ 2,bind([[_229397], [nil]]))).
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------