TSTP Solution File: SWC210+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC210+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 12:12:52 EDT 2023
% Result : Theorem 0.73s 1.38s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC210+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n004.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 01:07:24 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.73/1.38
% 0.73/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.73/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/1.38 %-----------------------------------------------------
% 0.73/1.38 ncf(matrix, plain, [(1978 ^ _232507) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _232507) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _232507) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _232507) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _232507) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _232507) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _232507) ^ [] : [1994 ^ _232507 : [(1995 ^ _232507) ^ [] : [-(neq(1979 ^ [], nil))], (1997 ^ _232507) ^ [] : [-(singletonP(1982 ^ []))], (1999 ^ _232507) ^ [] : [neq(1976 ^ [], nil)]], 2000 ^ _232507 : [(2001 ^ _232507) ^ [] : [-(neq(1979 ^ [], nil))], (2003 ^ _232507) ^ [] : [neq(1985 ^ [], nil)]]], (246 ^ _232507) ^ [_240311, _240313, _240315, _240317] : [-(cons(_240317, _240313) = cons(_240315, _240311)), _240317 = _240315, _240313 = _240311], (256 ^ _232507) ^ [_240642, _240644] : [_240644 = _240642, -(hd(_240644) = hd(_240642))], (272 ^ _232507) ^ [_241199, _241201] : [_241201 = _241199, -(tl(_241201) = tl(_241199))], (262 ^ _232507) ^ [_240888, _240890, _240892, _240894] : [-(app(_240894, _240890) = app(_240892, _240888)), _240894 = _240892, _240890 = _240888], (2 ^ _232507) ^ [_232651] : [-(_232651 = _232651)], (4 ^ _232507) ^ [_232758, _232760] : [_232760 = _232758, -(_232758 = _232760)], (10 ^ _232507) ^ [_232962, _232964, _232966] : [-(_232966 = _232962), _232966 = _232964, _232964 = _232962], (20 ^ _232507) ^ [_233303, _233305, _233307, _233309] : [-(memberP(_233307, _233303)), memberP(_233309, _233305), _233309 = _233307, _233305 = _233303], (34 ^ _232507) ^ [_233747, _233749, _233751, _233753] : [-(frontsegP(_233751, _233747)), frontsegP(_233753, _233749), _233753 = _233751, _233749 = _233747], (48 ^ _232507) ^ [_234191, _234193, _234195, _234197] : [-(rearsegP(_234195, _234191)), rearsegP(_234197, _234193), _234197 = _234195, _234193 = _234191], (62 ^ _232507) ^ [_234635, _234637, _234639, _234641] : [-(segmentP(_234639, _234635)), segmentP(_234641, _234637), _234641 = _234639, _234637 = _234635], (76 ^ _232507) ^ [_235051, _235053] : [-(cyclefreeP(_235051)), _235053 = _235051, cyclefreeP(_235053)], (86 ^ _232507) ^ [_235346, _235348] : [-(totalorderP(_235346)), _235348 = _235346, totalorderP(_235348)], (96 ^ _232507) ^ [_235641, _235643] : [-(strictorderP(_235641)), _235643 = _235641, strictorderP(_235643)], (106 ^ _232507) ^ [_235936, _235938] : [-(totalorderedP(_235936)), _235938 = _235936, totalorderedP(_235938)], (116 ^ _232507) ^ [_236231, _236233] : [-(strictorderedP(_236231)), _236233 = _236231, strictorderedP(_236233)], (126 ^ _232507) ^ [_236526, _236528] : [-(duplicatefreeP(_236526)), _236528 = _236526, duplicatefreeP(_236528)], (136 ^ _232507) ^ [_236821, _236823] : [-(equalelemsP(_236821)), _236823 = _236821, equalelemsP(_236823)], (146 ^ _232507) ^ [_237144, _237146, _237148, _237150] : [-(geq(_237148, _237144)), geq(_237150, _237146), _237150 = _237148, _237146 = _237144], (160 ^ _232507) ^ [_237588, _237590, _237592, _237594] : [-(lt(_237592, _237588)), lt(_237594, _237590), _237594 = _237592, _237590 = _237588], (174 ^ _232507) ^ [_238032, _238034, _238036, _238038] : [-(leq(_238036, _238032)), leq(_238038, _238034), _238038 = _238036, _238034 = _238032], (188 ^ _232507) ^ [_238448, _238450] : [-(ssItem(_238448)), _238450 = _238448, ssItem(_238450)], (198 ^ _232507) ^ [_238771, _238773, _238775, _238777] : [-(gt(_238775, _238771)), gt(_238777, _238773), _238777 = _238775, _238773 = _238771], (212 ^ _232507) ^ [_239187, _239189] : [-(ssList(_239187)), _239189 = _239187, ssList(_239189)], (222 ^ _232507) ^ [_239482, _239484] : [-(singletonP(_239482)), _239484 = _239482, singletonP(_239484)], (232 ^ _232507) ^ [_239785, _239787, _239789, _239791] : [-(neq(_239789, _239785)), neq(_239791, _239787), _239791 = _239789, _239787 = _239785], (278 ^ _232507) ^ [_241421] : [ssItem(_241421), 281 ^ _232507 : [(282 ^ _232507) ^ [_241559] : [ssItem(_241559), 285 ^ _232507 : [(286 ^ _232507) ^ [] : [neq(_241421, _241559), _241421 = _241559], (292 ^ _232507) ^ [] : [-(_241421 = _241559), -(neq(_241421, _241559))]]]]], (299 ^ _232507) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _232507) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _232507) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _232507) ^ [_242272] : [ssList(_242272), 309 ^ _232507 : [(310 ^ _232507) ^ [_242434] : [ssItem(_242434), 313 ^ _232507 : [(314 ^ _232507) ^ [] : [memberP(_242272, _242434), 318 ^ _232507 : [(319 ^ _232507) ^ [] : [-(ssList(317 ^ [_242272, _242434]))], (322 ^ _232507) ^ [] : [-(ssList(320 ^ [_242272, _242434]))], (324 ^ _232507) ^ [] : [-(app(317 ^ [_242272, _242434], cons(_242434, 320 ^ [_242272, _242434])) = _242272)]]], (326 ^ _232507) ^ [] : [-(memberP(_242272, _242434)), 327 ^ _232507 : [(328 ^ _232507) ^ [_243082] : [ssList(_243082), 331 ^ _232507 : [(332 ^ _232507) ^ [_243230] : [ssList(_243230), app(_243082, cons(_242434, _243230)) = _242272]]]]]]]]], (340 ^ _232507) ^ [_243521] : [ssList(_243521), 343 ^ _232507 : [(344 ^ _232507) ^ [] : [singletonP(_243521), 348 ^ _232507 : [(349 ^ _232507) ^ [] : [-(ssItem(347 ^ [_243521]))], (351 ^ _232507) ^ [] : [-(cons(347 ^ [_243521], nil) = _243521)]]], (353 ^ _232507) ^ [] : [-(singletonP(_243521)), 354 ^ _232507 : [(355 ^ _232507) ^ [_243970] : [ssItem(_243970), cons(_243970, nil) = _243521]]]]], (363 ^ _232507) ^ [_244226] : [ssList(_244226), 366 ^ _232507 : [(367 ^ _232507) ^ [_244375] : [ssList(_244375), 370 ^ _232507 : [(371 ^ _232507) ^ [] : [frontsegP(_244226, _244375), 375 ^ _232507 : [(376 ^ _232507) ^ [] : [-(ssList(374 ^ [_244226, _244375]))], (378 ^ _232507) ^ [] : [-(app(_244375, 374 ^ [_244226, _244375]) = _244226)]]], (380 ^ _232507) ^ [] : [-(frontsegP(_244226, _244375)), 381 ^ _232507 : [(382 ^ _232507) ^ [_244850] : [ssList(_244850), app(_244375, _244850) = _244226]]]]]]], (390 ^ _232507) ^ [_245122] : [ssList(_245122), 393 ^ _232507 : [(394 ^ _232507) ^ [_245271] : [ssList(_245271), 397 ^ _232507 : [(398 ^ _232507) ^ [] : [rearsegP(_245122, _245271), 402 ^ _232507 : [(403 ^ _232507) ^ [] : [-(ssList(401 ^ [_245122, _245271]))], (405 ^ _232507) ^ [] : [-(app(401 ^ [_245122, _245271], _245271) = _245122)]]], (407 ^ _232507) ^ [] : [-(rearsegP(_245122, _245271)), 408 ^ _232507 : [(409 ^ _232507) ^ [_245746] : [ssList(_245746), app(_245746, _245271) = _245122]]]]]]], (417 ^ _232507) ^ [_246018] : [ssList(_246018), 420 ^ _232507 : [(421 ^ _232507) ^ [_246180] : [ssList(_246180), 424 ^ _232507 : [(425 ^ _232507) ^ [] : [segmentP(_246018, _246180), 429 ^ _232507 : [(430 ^ _232507) ^ [] : [-(ssList(428 ^ [_246018, _246180]))], (433 ^ _232507) ^ [] : [-(ssList(431 ^ [_246018, _246180]))], (435 ^ _232507) ^ [] : [-(app(app(428 ^ [_246018, _246180], _246180), 431 ^ [_246018, _246180]) = _246018)]]], (437 ^ _232507) ^ [] : [-(segmentP(_246018, _246180)), 438 ^ _232507 : [(439 ^ _232507) ^ [_246828] : [ssList(_246828), 442 ^ _232507 : [(443 ^ _232507) ^ [_246976] : [ssList(_246976), app(app(_246828, _246180), _246976) = _246018]]]]]]]]], (451 ^ _232507) ^ [_247267] : [ssList(_247267), 454 ^ _232507 : [(489 ^ _232507) ^ [] : [491 ^ _232507 : [(492 ^ _232507) ^ [] : [-(ssItem(490 ^ [_247267]))], (495 ^ _232507) ^ [] : [-(ssItem(493 ^ [_247267]))], (498 ^ _232507) ^ [] : [-(ssList(496 ^ [_247267]))], (501 ^ _232507) ^ [] : [-(ssList(499 ^ [_247267]))], (504 ^ _232507) ^ [] : [-(ssList(502 ^ [_247267]))], (506 ^ _232507) ^ [] : [-(app(app(496 ^ [_247267], cons(490 ^ [_247267], 499 ^ [_247267])), cons(493 ^ [_247267], 502 ^ [_247267])) = _247267)], (508 ^ _232507) ^ [] : [-(leq(490 ^ [_247267], 493 ^ [_247267]))], (510 ^ _232507) ^ [] : [-(leq(493 ^ [_247267], 490 ^ [_247267]))]], -(cyclefreeP(_247267))], (455 ^ _232507) ^ [] : [cyclefreeP(_247267), 458 ^ _232507 : [(459 ^ _232507) ^ [_247571] : [ssItem(_247571), 462 ^ _232507 : [(463 ^ _232507) ^ [_247763] : [ssItem(_247763), 466 ^ _232507 : [(467 ^ _232507) ^ [_247951] : [ssList(_247951), 470 ^ _232507 : [(471 ^ _232507) ^ [_248135] : [ssList(_248135), 474 ^ _232507 : [(475 ^ _232507) ^ [_248315] : [ssList(_248315), app(app(_247951, cons(_247571, _248135)), cons(_247763, _248315)) = _247267, leq(_247571, _247763), leq(_247763, _247571)]]]]]]]]]]]]], (514 ^ _232507) ^ [_250053] : [ssList(_250053), 517 ^ _232507 : [(552 ^ _232507) ^ [] : [554 ^ _232507 : [(555 ^ _232507) ^ [] : [-(ssItem(553 ^ [_250053]))], (558 ^ _232507) ^ [] : [-(ssItem(556 ^ [_250053]))], (561 ^ _232507) ^ [] : [-(ssList(559 ^ [_250053]))], (564 ^ _232507) ^ [] : [-(ssList(562 ^ [_250053]))], (567 ^ _232507) ^ [] : [-(ssList(565 ^ [_250053]))], (569 ^ _232507) ^ [] : [-(app(app(559 ^ [_250053], cons(553 ^ [_250053], 562 ^ [_250053])), cons(556 ^ [_250053], 565 ^ [_250053])) = _250053)], (571 ^ _232507) ^ [] : [leq(553 ^ [_250053], 556 ^ [_250053])], (573 ^ _232507) ^ [] : [leq(556 ^ [_250053], 553 ^ [_250053])]], -(totalorderP(_250053))], (518 ^ _232507) ^ [] : [totalorderP(_250053), 521 ^ _232507 : [(522 ^ _232507) ^ [_250355] : [ssItem(_250355), 525 ^ _232507 : [(526 ^ _232507) ^ [_250545] : [ssItem(_250545), 529 ^ _232507 : [(530 ^ _232507) ^ [_250731] : [ssList(_250731), 533 ^ _232507 : [(534 ^ _232507) ^ [_250913] : [ssList(_250913), 537 ^ _232507 : [(538 ^ _232507) ^ [_251091] : [ssList(_251091), app(app(_250731, cons(_250355, _250913)), cons(_250545, _251091)) = _250053, -(leq(_250355, _250545)), -(leq(_250545, _250355))]]]]]]]]]]]]], (577 ^ _232507) ^ [_252817] : [ssList(_252817), 580 ^ _232507 : [(615 ^ _232507) ^ [] : [617 ^ _232507 : [(618 ^ _232507) ^ [] : [-(ssItem(616 ^ [_252817]))], (621 ^ _232507) ^ [] : [-(ssItem(619 ^ [_252817]))], (624 ^ _232507) ^ [] : [-(ssList(622 ^ [_252817]))], (627 ^ _232507) ^ [] : [-(ssList(625 ^ [_252817]))], (630 ^ _232507) ^ [] : [-(ssList(628 ^ [_252817]))], (632 ^ _232507) ^ [] : [-(app(app(622 ^ [_252817], cons(616 ^ [_252817], 625 ^ [_252817])), cons(619 ^ [_252817], 628 ^ [_252817])) = _252817)], (634 ^ _232507) ^ [] : [lt(616 ^ [_252817], 619 ^ [_252817])], (636 ^ _232507) ^ [] : [lt(619 ^ [_252817], 616 ^ [_252817])]], -(strictorderP(_252817))], (581 ^ _232507) ^ [] : [strictorderP(_252817), 584 ^ _232507 : [(585 ^ _232507) ^ [_253119] : [ssItem(_253119), 588 ^ _232507 : [(589 ^ _232507) ^ [_253309] : [ssItem(_253309), 592 ^ _232507 : [(593 ^ _232507) ^ [_253495] : [ssList(_253495), 596 ^ _232507 : [(597 ^ _232507) ^ [_253677] : [ssList(_253677), 600 ^ _232507 : [(601 ^ _232507) ^ [_253855] : [ssList(_253855), app(app(_253495, cons(_253119, _253677)), cons(_253309, _253855)) = _252817, -(lt(_253119, _253309)), -(lt(_253309, _253119))]]]]]]]]]]]]], (640 ^ _232507) ^ [_255581] : [ssList(_255581), 643 ^ _232507 : [(674 ^ _232507) ^ [] : [676 ^ _232507 : [(677 ^ _232507) ^ [] : [-(ssItem(675 ^ [_255581]))], (680 ^ _232507) ^ [] : [-(ssItem(678 ^ [_255581]))], (683 ^ _232507) ^ [] : [-(ssList(681 ^ [_255581]))], (686 ^ _232507) ^ [] : [-(ssList(684 ^ [_255581]))], (689 ^ _232507) ^ [] : [-(ssList(687 ^ [_255581]))], (691 ^ _232507) ^ [] : [-(app(app(681 ^ [_255581], cons(675 ^ [_255581], 684 ^ [_255581])), cons(678 ^ [_255581], 687 ^ [_255581])) = _255581)], (693 ^ _232507) ^ [] : [leq(675 ^ [_255581], 678 ^ [_255581])]], -(totalorderedP(_255581))], (644 ^ _232507) ^ [] : [totalorderedP(_255581), 647 ^ _232507 : [(648 ^ _232507) ^ [_255877] : [ssItem(_255877), 651 ^ _232507 : [(652 ^ _232507) ^ [_256061] : [ssItem(_256061), 655 ^ _232507 : [(656 ^ _232507) ^ [_256241] : [ssList(_256241), 659 ^ _232507 : [(660 ^ _232507) ^ [_256417] : [ssList(_256417), 663 ^ _232507 : [(664 ^ _232507) ^ [_256589] : [ssList(_256589), app(app(_256241, cons(_255877, _256417)), cons(_256061, _256589)) = _255581, -(leq(_255877, _256061))]]]]]]]]]]]]], (697 ^ _232507) ^ [_258069] : [ssList(_258069), 700 ^ _232507 : [(731 ^ _232507) ^ [] : [733 ^ _232507 : [(734 ^ _232507) ^ [] : [-(ssItem(732 ^ [_258069]))], (737 ^ _232507) ^ [] : [-(ssItem(735 ^ [_258069]))], (740 ^ _232507) ^ [] : [-(ssList(738 ^ [_258069]))], (743 ^ _232507) ^ [] : [-(ssList(741 ^ [_258069]))], (746 ^ _232507) ^ [] : [-(ssList(744 ^ [_258069]))], (748 ^ _232507) ^ [] : [-(app(app(738 ^ [_258069], cons(732 ^ [_258069], 741 ^ [_258069])), cons(735 ^ [_258069], 744 ^ [_258069])) = _258069)], (750 ^ _232507) ^ [] : [lt(732 ^ [_258069], 735 ^ [_258069])]], -(strictorderedP(_258069))], (701 ^ _232507) ^ [] : [strictorderedP(_258069), 704 ^ _232507 : [(705 ^ _232507) ^ [_258365] : [ssItem(_258365), 708 ^ _232507 : [(709 ^ _232507) ^ [_258549] : [ssItem(_258549), 712 ^ _232507 : [(713 ^ _232507) ^ [_258729] : [ssList(_258729), 716 ^ _232507 : [(717 ^ _232507) ^ [_258905] : [ssList(_258905), 720 ^ _232507 : [(721 ^ _232507) ^ [_259077] : [ssList(_259077), app(app(_258729, cons(_258365, _258905)), cons(_258549, _259077)) = _258069, -(lt(_258365, _258549))]]]]]]]]]]]]], (754 ^ _232507) ^ [_260557] : [ssList(_260557), 757 ^ _232507 : [(788 ^ _232507) ^ [] : [790 ^ _232507 : [(791 ^ _232507) ^ [] : [-(ssItem(789 ^ [_260557]))], (794 ^ _232507) ^ [] : [-(ssItem(792 ^ [_260557]))], (797 ^ _232507) ^ [] : [-(ssList(795 ^ [_260557]))], (800 ^ _232507) ^ [] : [-(ssList(798 ^ [_260557]))], (803 ^ _232507) ^ [] : [-(ssList(801 ^ [_260557]))], (805 ^ _232507) ^ [] : [-(app(app(795 ^ [_260557], cons(789 ^ [_260557], 798 ^ [_260557])), cons(792 ^ [_260557], 801 ^ [_260557])) = _260557)], (807 ^ _232507) ^ [] : [-(789 ^ [_260557] = 792 ^ [_260557])]], -(duplicatefreeP(_260557))], (758 ^ _232507) ^ [] : [duplicatefreeP(_260557), 761 ^ _232507 : [(762 ^ _232507) ^ [_260855] : [ssItem(_260855), 765 ^ _232507 : [(766 ^ _232507) ^ [_261041] : [ssItem(_261041), 769 ^ _232507 : [(770 ^ _232507) ^ [_261223] : [ssList(_261223), 773 ^ _232507 : [(774 ^ _232507) ^ [_261401] : [ssList(_261401), 777 ^ _232507 : [(778 ^ _232507) ^ [_261575] : [ssList(_261575), app(app(_261223, cons(_260855, _261401)), cons(_261041, _261575)) = _260557, _260855 = _261041]]]]]]]]]]]]], (811 ^ _232507) ^ [_263067] : [ssList(_263067), 814 ^ _232507 : [(841 ^ _232507) ^ [] : [843 ^ _232507 : [(844 ^ _232507) ^ [] : [-(ssItem(842 ^ [_263067]))], (847 ^ _232507) ^ [] : [-(ssItem(845 ^ [_263067]))], (850 ^ _232507) ^ [] : [-(ssList(848 ^ [_263067]))], (853 ^ _232507) ^ [] : [-(ssList(851 ^ [_263067]))], (855 ^ _232507) ^ [] : [-(app(848 ^ [_263067], cons(842 ^ [_263067], cons(845 ^ [_263067], 851 ^ [_263067]))) = _263067)], (857 ^ _232507) ^ [] : [842 ^ [_263067] = 845 ^ [_263067]]], -(equalelemsP(_263067))], (815 ^ _232507) ^ [] : [equalelemsP(_263067), 818 ^ _232507 : [(819 ^ _232507) ^ [_263350] : [ssItem(_263350), 822 ^ _232507 : [(823 ^ _232507) ^ [_263521] : [ssItem(_263521), 826 ^ _232507 : [(827 ^ _232507) ^ [_263688] : [ssList(_263688), 830 ^ _232507 : [(831 ^ _232507) ^ [_263851] : [ssList(_263851), app(_263688, cons(_263350, cons(_263521, _263851))) = _263067, -(_263350 = _263521)]]]]]]]]]]], (861 ^ _232507) ^ [_265084] : [ssList(_265084), 864 ^ _232507 : [(865 ^ _232507) ^ [_265222] : [ssList(_265222), 868 ^ _232507 : [(869 ^ _232507) ^ [] : [neq(_265084, _265222), _265084 = _265222], (875 ^ _232507) ^ [] : [-(_265084 = _265222), -(neq(_265084, _265222))]]]]], (881 ^ _232507) ^ [_265675] : [ssList(_265675), 884 ^ _232507 : [(885 ^ _232507) ^ [_265807] : [ssItem(_265807), -(ssList(cons(_265807, _265675)))]]], (891 ^ _232507) ^ [] : [-(ssList(nil))], (893 ^ _232507) ^ [_266065] : [ssList(_266065), 896 ^ _232507 : [(897 ^ _232507) ^ [_266200] : [ssItem(_266200), cons(_266200, _266065) = _266065]]], (903 ^ _232507) ^ [_266408] : [ssList(_266408), 906 ^ _232507 : [(907 ^ _232507) ^ [_266576] : [ssList(_266576), 910 ^ _232507 : [(911 ^ _232507) ^ [_266740] : [ssItem(_266740), 914 ^ _232507 : [(915 ^ _232507) ^ [_266900] : [ssItem(_266900), cons(_266740, _266408) = cons(_266900, _266576), 922 ^ _232507 : [(923 ^ _232507) ^ [] : [-(_266740 = _266900)], (925 ^ _232507) ^ [] : [-(_266576 = _266408)]]]]]]]]], (927 ^ _232507) ^ [_267315] : [ssList(_267315), -(nil = _267315), 935 ^ _232507 : [(936 ^ _232507) ^ [] : [-(ssList(934 ^ [_267315]))], (939 ^ _232507) ^ [] : [-(ssItem(937 ^ [_267315]))], (941 ^ _232507) ^ [] : [-(cons(937 ^ [_267315], 934 ^ [_267315]) = _267315)]]], (943 ^ _232507) ^ [_267879] : [ssList(_267879), 946 ^ _232507 : [(947 ^ _232507) ^ [_268014] : [ssItem(_268014), nil = cons(_268014, _267879)]]], (953 ^ _232507) ^ [_268222] : [ssList(_268222), -(nil = _268222), -(ssItem(hd(_268222)))], (963 ^ _232507) ^ [_268500] : [ssList(_268500), 966 ^ _232507 : [(967 ^ _232507) ^ [_268635] : [ssItem(_268635), -(hd(cons(_268635, _268500)) = _268635)]]], (973 ^ _232507) ^ [_268846] : [ssList(_268846), -(nil = _268846), -(ssList(tl(_268846)))], (983 ^ _232507) ^ [_269124] : [ssList(_269124), 986 ^ _232507 : [(987 ^ _232507) ^ [_269259] : [ssItem(_269259), -(tl(cons(_269259, _269124)) = _269124)]]], (993 ^ _232507) ^ [_269470] : [ssList(_269470), 996 ^ _232507 : [(997 ^ _232507) ^ [_269602] : [ssList(_269602), -(ssList(app(_269470, _269602)))]]], (1003 ^ _232507) ^ [_269807] : [ssList(_269807), 1006 ^ _232507 : [(1007 ^ _232507) ^ [_269959] : [ssList(_269959), 1010 ^ _232507 : [(1011 ^ _232507) ^ [_270107] : [ssItem(_270107), -(cons(_270107, app(_269959, _269807)) = app(cons(_270107, _269959), _269807))]]]]], (1017 ^ _232507) ^ [_270345] : [ssList(_270345), -(app(nil, _270345) = _270345)], (1023 ^ _232507) ^ [_270539] : [ssItem(_270539), 1026 ^ _232507 : [(1027 ^ _232507) ^ [_270681] : [ssItem(_270681), -(_270539 = _270681), leq(_270539, _270681), leq(_270681, _270539)]]], (1041 ^ _232507) ^ [_271060] : [ssItem(_271060), 1044 ^ _232507 : [(1045 ^ _232507) ^ [_271212] : [ssItem(_271212), 1048 ^ _232507 : [(1049 ^ _232507) ^ [_271360] : [ssItem(_271360), -(leq(_271060, _271360)), leq(_271060, _271212), leq(_271212, _271360)]]]]], (1063 ^ _232507) ^ [_271760] : [ssItem(_271760), -(leq(_271760, _271760))], (1069 ^ _232507) ^ [_271948] : [ssItem(_271948), 1072 ^ _232507 : [(1073 ^ _232507) ^ [_272084] : [ssItem(_272084), 1076 ^ _232507 : [(1077 ^ _232507) ^ [] : [geq(_271948, _272084), -(leq(_272084, _271948))], (1083 ^ _232507) ^ [] : [leq(_272084, _271948), -(geq(_271948, _272084))]]]]], (1089 ^ _232507) ^ [_272535] : [ssItem(_272535), 1092 ^ _232507 : [(1093 ^ _232507) ^ [_272673] : [ssItem(_272673), lt(_272535, _272673), lt(_272673, _272535)]]], (1103 ^ _232507) ^ [_272964] : [ssItem(_272964), 1106 ^ _232507 : [(1107 ^ _232507) ^ [_273116] : [ssItem(_273116), 1110 ^ _232507 : [(1111 ^ _232507) ^ [_273264] : [ssItem(_273264), -(lt(_272964, _273264)), lt(_272964, _273116), lt(_273116, _273264)]]]]], (1125 ^ _232507) ^ [_273664] : [ssItem(_273664), 1128 ^ _232507 : [(1129 ^ _232507) ^ [_273800] : [ssItem(_273800), 1132 ^ _232507 : [(1133 ^ _232507) ^ [] : [gt(_273664, _273800), -(lt(_273800, _273664))], (1139 ^ _232507) ^ [] : [lt(_273800, _273664), -(gt(_273664, _273800))]]]]], (1145 ^ _232507) ^ [_274251] : [ssItem(_274251), 1148 ^ _232507 : [(1149 ^ _232507) ^ [_274406] : [ssList(_274406), 1152 ^ _232507 : [(1153 ^ _232507) ^ [_274557] : [ssList(_274557), 1156 ^ _232507 : [(1167 ^ _232507) ^ [] : [1168 ^ _232507 : [(1169 ^ _232507) ^ [] : [memberP(_274406, _274251)], (1171 ^ _232507) ^ [] : [memberP(_274557, _274251)]], -(memberP(app(_274406, _274557), _274251))], (1157 ^ _232507) ^ [] : [memberP(app(_274406, _274557), _274251), -(memberP(_274406, _274251)), -(memberP(_274557, _274251))]]]]]]], (1175 ^ _232507) ^ [_275204] : [ssItem(_275204), 1178 ^ _232507 : [(1179 ^ _232507) ^ [_275359] : [ssItem(_275359), 1182 ^ _232507 : [(1183 ^ _232507) ^ [_275510] : [ssList(_275510), 1186 ^ _232507 : [(1197 ^ _232507) ^ [] : [1198 ^ _232507 : [(1199 ^ _232507) ^ [] : [_275204 = _275359], (1201 ^ _232507) ^ [] : [memberP(_275510, _275204)]], -(memberP(cons(_275359, _275510), _275204))], (1187 ^ _232507) ^ [] : [memberP(cons(_275359, _275510), _275204), -(_275204 = _275359), -(memberP(_275510, _275204))]]]]]]], (1205 ^ _232507) ^ [_276157] : [ssItem(_276157), memberP(nil, _276157)], (1211 ^ _232507) ^ [] : [singletonP(nil)], (1213 ^ _232507) ^ [_276398] : [ssList(_276398), 1216 ^ _232507 : [(1217 ^ _232507) ^ [_276550] : [ssList(_276550), 1220 ^ _232507 : [(1221 ^ _232507) ^ [_276698] : [ssList(_276698), -(frontsegP(_276398, _276698)), frontsegP(_276398, _276550), frontsegP(_276550, _276698)]]]]], (1235 ^ _232507) ^ [_277098] : [ssList(_277098), 1238 ^ _232507 : [(1239 ^ _232507) ^ [_277240] : [ssList(_277240), -(_277098 = _277240), frontsegP(_277098, _277240), frontsegP(_277240, _277098)]]], (1253 ^ _232507) ^ [_277619] : [ssList(_277619), -(frontsegP(_277619, _277619))], (1259 ^ _232507) ^ [_277807] : [ssList(_277807), 1262 ^ _232507 : [(1263 ^ _232507) ^ [_277956] : [ssList(_277956), 1266 ^ _232507 : [(1267 ^ _232507) ^ [_278101] : [ssList(_278101), frontsegP(_277807, _277956), -(frontsegP(app(_277807, _278101), _277956))]]]]], (1277 ^ _232507) ^ [_278414] : [ssItem(_278414), 1280 ^ _232507 : [(1281 ^ _232507) ^ [_278582] : [ssItem(_278582), 1284 ^ _232507 : [(1285 ^ _232507) ^ [_278746] : [ssList(_278746), 1288 ^ _232507 : [(1289 ^ _232507) ^ [_278906] : [ssList(_278906), 1292 ^ _232507 : [(1293 ^ _232507) ^ [] : [frontsegP(cons(_278414, _278746), cons(_278582, _278906)), 1296 ^ _232507 : [(1297 ^ _232507) ^ [] : [-(_278414 = _278582)], (1299 ^ _232507) ^ [] : [-(frontsegP(_278746, _278906))]]], (1301 ^ _232507) ^ [] : [-(frontsegP(cons(_278414, _278746), cons(_278582, _278906))), _278414 = _278582, frontsegP(_278746, _278906)]]]]]]]]], (1311 ^ _232507) ^ [_279591] : [ssList(_279591), -(frontsegP(_279591, nil))], (1317 ^ _232507) ^ [_279779] : [ssList(_279779), 1320 ^ _232507 : [(1321 ^ _232507) ^ [] : [frontsegP(nil, _279779), -(nil = _279779)], (1327 ^ _232507) ^ [] : [nil = _279779, -(frontsegP(nil, _279779))]]], (1333 ^ _232507) ^ [_280207] : [ssList(_280207), 1336 ^ _232507 : [(1337 ^ _232507) ^ [_280359] : [ssList(_280359), 1340 ^ _232507 : [(1341 ^ _232507) ^ [_280507] : [ssList(_280507), -(rearsegP(_280207, _280507)), rearsegP(_280207, _280359), rearsegP(_280359, _280507)]]]]], (1355 ^ _232507) ^ [_280907] : [ssList(_280907), 1358 ^ _232507 : [(1359 ^ _232507) ^ [_281049] : [ssList(_281049), -(_280907 = _281049), rearsegP(_280907, _281049), rearsegP(_281049, _280907)]]], (1373 ^ _232507) ^ [_281428] : [ssList(_281428), -(rearsegP(_281428, _281428))], (1379 ^ _232507) ^ [_281616] : [ssList(_281616), 1382 ^ _232507 : [(1383 ^ _232507) ^ [_281765] : [ssList(_281765), 1386 ^ _232507 : [(1387 ^ _232507) ^ [_281910] : [ssList(_281910), rearsegP(_281616, _281765), -(rearsegP(app(_281910, _281616), _281765))]]]]], (1397 ^ _232507) ^ [_282223] : [ssList(_282223), -(rearsegP(_282223, nil))], (1403 ^ _232507) ^ [_282411] : [ssList(_282411), 1406 ^ _232507 : [(1407 ^ _232507) ^ [] : [rearsegP(nil, _282411), -(nil = _282411)], (1413 ^ _232507) ^ [] : [nil = _282411, -(rearsegP(nil, _282411))]]], (1419 ^ _232507) ^ [_282839] : [ssList(_282839), 1422 ^ _232507 : [(1423 ^ _232507) ^ [_282991] : [ssList(_282991), 1426 ^ _232507 : [(1427 ^ _232507) ^ [_283139] : [ssList(_283139), -(segmentP(_282839, _283139)), segmentP(_282839, _282991), segmentP(_282991, _283139)]]]]], (1441 ^ _232507) ^ [_283539] : [ssList(_283539), 1444 ^ _232507 : [(1445 ^ _232507) ^ [_283681] : [ssList(_283681), -(_283539 = _283681), segmentP(_283539, _283681), segmentP(_283681, _283539)]]], (1459 ^ _232507) ^ [_284060] : [ssList(_284060), -(segmentP(_284060, _284060))], (1465 ^ _232507) ^ [_284248] : [ssList(_284248), 1468 ^ _232507 : [(1469 ^ _232507) ^ [_284410] : [ssList(_284410), 1472 ^ _232507 : [(1473 ^ _232507) ^ [_284568] : [ssList(_284568), 1476 ^ _232507 : [(1477 ^ _232507) ^ [_284722] : [ssList(_284722), segmentP(_284248, _284410), -(segmentP(app(app(_284568, _284248), _284722), _284410))]]]]]]], (1487 ^ _232507) ^ [_285058] : [ssList(_285058), -(segmentP(_285058, nil))], (1493 ^ _232507) ^ [_285246] : [ssList(_285246), 1496 ^ _232507 : [(1497 ^ _232507) ^ [] : [segmentP(nil, _285246), -(nil = _285246)], (1503 ^ _232507) ^ [] : [nil = _285246, -(segmentP(nil, _285246))]]], (1509 ^ _232507) ^ [_285674] : [ssItem(_285674), -(cyclefreeP(cons(_285674, nil)))], (1515 ^ _232507) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _232507) ^ [_285919] : [ssItem(_285919), -(totalorderP(cons(_285919, nil)))], (1523 ^ _232507) ^ [] : [-(totalorderP(nil))], (1525 ^ _232507) ^ [_286164] : [ssItem(_286164), -(strictorderP(cons(_286164, nil)))], (1531 ^ _232507) ^ [] : [-(strictorderP(nil))], (1533 ^ _232507) ^ [_286409] : [ssItem(_286409), -(totalorderedP(cons(_286409, nil)))], (1539 ^ _232507) ^ [] : [-(totalorderedP(nil))], (1541 ^ _232507) ^ [_286654] : [ssItem(_286654), 1544 ^ _232507 : [(1545 ^ _232507) ^ [_286813] : [ssList(_286813), 1548 ^ _232507 : [(1549 ^ _232507) ^ [] : [totalorderedP(cons(_286654, _286813)), -(nil = _286813), 1556 ^ _232507 : [(1557 ^ _232507) ^ [] : [nil = _286813], (1559 ^ _232507) ^ [] : [-(totalorderedP(_286813))], (1561 ^ _232507) ^ [] : [-(leq(_286654, hd(_286813)))]]], (1563 ^ _232507) ^ [] : [-(totalorderedP(cons(_286654, _286813))), 1564 ^ _232507 : [(1565 ^ _232507) ^ [] : [nil = _286813], (1567 ^ _232507) ^ [] : [-(nil = _286813), totalorderedP(_286813), leq(_286654, hd(_286813))]]]]]]], (1579 ^ _232507) ^ [_287748] : [ssItem(_287748), -(strictorderedP(cons(_287748, nil)))], (1585 ^ _232507) ^ [] : [-(strictorderedP(nil))], (1587 ^ _232507) ^ [_287993] : [ssItem(_287993), 1590 ^ _232507 : [(1591 ^ _232507) ^ [_288152] : [ssList(_288152), 1594 ^ _232507 : [(1595 ^ _232507) ^ [] : [strictorderedP(cons(_287993, _288152)), -(nil = _288152), 1602 ^ _232507 : [(1603 ^ _232507) ^ [] : [nil = _288152], (1605 ^ _232507) ^ [] : [-(strictorderedP(_288152))], (1607 ^ _232507) ^ [] : [-(lt(_287993, hd(_288152)))]]], (1609 ^ _232507) ^ [] : [-(strictorderedP(cons(_287993, _288152))), 1610 ^ _232507 : [(1611 ^ _232507) ^ [] : [nil = _288152], (1613 ^ _232507) ^ [] : [-(nil = _288152), strictorderedP(_288152), lt(_287993, hd(_288152))]]]]]]], (1625 ^ _232507) ^ [_289087] : [ssItem(_289087), -(duplicatefreeP(cons(_289087, nil)))], (1631 ^ _232507) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _232507) ^ [_289332] : [ssItem(_289332), -(equalelemsP(cons(_289332, nil)))], (1639 ^ _232507) ^ [] : [-(equalelemsP(nil))], (1641 ^ _232507) ^ [_289577] : [ssList(_289577), -(nil = _289577), 1649 ^ _232507 : [(1650 ^ _232507) ^ [] : [-(ssItem(1648 ^ [_289577]))], (1652 ^ _232507) ^ [] : [-(hd(_289577) = 1648 ^ [_289577])]]], (1654 ^ _232507) ^ [_289991] : [ssList(_289991), -(nil = _289991), 1662 ^ _232507 : [(1663 ^ _232507) ^ [] : [-(ssList(1661 ^ [_289991]))], (1665 ^ _232507) ^ [] : [-(tl(_289991) = 1661 ^ [_289991])]]], (1667 ^ _232507) ^ [_290405] : [ssList(_290405), 1670 ^ _232507 : [(1671 ^ _232507) ^ [_290571] : [ssList(_290571), -(_290571 = _290405), -(nil = _290571), -(nil = _290405), hd(_290571) = hd(_290405), tl(_290571) = tl(_290405)]]], (1693 ^ _232507) ^ [_291150] : [ssList(_291150), -(nil = _291150), -(cons(hd(_291150), tl(_291150)) = _291150)], (1703 ^ _232507) ^ [_291440] : [ssList(_291440), 1706 ^ _232507 : [(1707 ^ _232507) ^ [_291592] : [ssList(_291592), 1710 ^ _232507 : [(1711 ^ _232507) ^ [_291740] : [ssList(_291740), app(_291740, _291592) = app(_291440, _291592), -(_291740 = _291440)]]]]], (1721 ^ _232507) ^ [_292059] : [ssList(_292059), 1724 ^ _232507 : [(1725 ^ _232507) ^ [_292211] : [ssList(_292211), 1728 ^ _232507 : [(1729 ^ _232507) ^ [_292359] : [ssList(_292359), app(_292211, _292359) = app(_292211, _292059), -(_292359 = _292059)]]]]], (1739 ^ _232507) ^ [_292678] : [ssList(_292678), 1742 ^ _232507 : [(1743 ^ _232507) ^ [_292817] : [ssItem(_292817), -(cons(_292817, _292678) = app(cons(_292817, nil), _292678))]]], (1749 ^ _232507) ^ [_293036] : [ssList(_293036), 1752 ^ _232507 : [(1753 ^ _232507) ^ [_293188] : [ssList(_293188), 1756 ^ _232507 : [(1757 ^ _232507) ^ [_293336] : [ssList(_293336), -(app(app(_293036, _293188), _293336) = app(_293036, app(_293188, _293336)))]]]]], (1763 ^ _232507) ^ [_293574] : [ssList(_293574), 1766 ^ _232507 : [(1767 ^ _232507) ^ [_293719] : [ssList(_293719), 1770 ^ _232507 : [(1771 ^ _232507) ^ [] : [nil = app(_293574, _293719), 1774 ^ _232507 : [(1775 ^ _232507) ^ [] : [-(nil = _293719)], (1777 ^ _232507) ^ [] : [-(nil = _293574)]]], (1779 ^ _232507) ^ [] : [-(nil = app(_293574, _293719)), nil = _293719, nil = _293574]]]]], (1789 ^ _232507) ^ [_294337] : [ssList(_294337), -(app(_294337, nil) = _294337)], (1795 ^ _232507) ^ [_294531] : [ssList(_294531), 1798 ^ _232507 : [(1799 ^ _232507) ^ [_294676] : [ssList(_294676), -(nil = _294531), -(hd(app(_294531, _294676)) = hd(_294531))]]], (1809 ^ _232507) ^ [_294983] : [ssList(_294983), 1812 ^ _232507 : [(1813 ^ _232507) ^ [_295131] : [ssList(_295131), -(nil = _294983), -(tl(app(_294983, _295131)) = app(tl(_294983), _295131))]]], (1823 ^ _232507) ^ [_295444] : [ssItem(_295444), 1826 ^ _232507 : [(1827 ^ _232507) ^ [_295586] : [ssItem(_295586), -(_295444 = _295586), geq(_295444, _295586), geq(_295586, _295444)]]], (1841 ^ _232507) ^ [_295965] : [ssItem(_295965), 1844 ^ _232507 : [(1845 ^ _232507) ^ [_296117] : [ssItem(_296117), 1848 ^ _232507 : [(1849 ^ _232507) ^ [_296265] : [ssItem(_296265), -(geq(_295965, _296265)), geq(_295965, _296117), geq(_296117, _296265)]]]]], (1863 ^ _232507) ^ [_296665] : [ssItem(_296665), -(geq(_296665, _296665))], (1869 ^ _232507) ^ [_296853] : [ssItem(_296853), lt(_296853, _296853)], (1875 ^ _232507) ^ [_297042] : [ssItem(_297042), 1878 ^ _232507 : [(1879 ^ _232507) ^ [_297194] : [ssItem(_297194), 1882 ^ _232507 : [(1883 ^ _232507) ^ [_297342] : [ssItem(_297342), -(lt(_297042, _297342)), leq(_297042, _297194), lt(_297194, _297342)]]]]], (1897 ^ _232507) ^ [_297742] : [ssItem(_297742), 1900 ^ _232507 : [(1901 ^ _232507) ^ [_297884] : [ssItem(_297884), leq(_297742, _297884), -(_297742 = _297884), -(lt(_297742, _297884))]]], (1915 ^ _232507) ^ [_298264] : [ssItem(_298264), 1918 ^ _232507 : [(1919 ^ _232507) ^ [_298408] : [ssItem(_298408), 1922 ^ _232507 : [(1923 ^ _232507) ^ [] : [lt(_298264, _298408), 1926 ^ _232507 : [(1927 ^ _232507) ^ [] : [_298264 = _298408], (1929 ^ _232507) ^ [] : [-(leq(_298264, _298408))]]], (1931 ^ _232507) ^ [] : [-(lt(_298264, _298408)), -(_298264 = _298408), leq(_298264, _298408)]]]]], (1941 ^ _232507) ^ [_299019] : [ssItem(_299019), 1944 ^ _232507 : [(1945 ^ _232507) ^ [_299157] : [ssItem(_299157), gt(_299019, _299157), gt(_299157, _299019)]]], (1955 ^ _232507) ^ [_299428] : [ssItem(_299428), 1958 ^ _232507 : [(1959 ^ _232507) ^ [_299580] : [ssItem(_299580), 1962 ^ _232507 : [(1963 ^ _232507) ^ [_299728] : [ssItem(_299728), -(gt(_299428, _299728)), gt(_299428, _299580), gt(_299580, _299728)]]]]]], input).
% 0.73/1.38 ncf('1',plain,[1999 : neq(1976 ^ [], nil), 2003 : neq(1985 ^ [], nil)],start(1993 ^ 0)).
% 0.73/1.38 ncf('1.1',plain,[-(neq(1976 ^ [], nil)), 875 : -(1976 ^ [] = nil), 875 : ssList(nil), 865 : ssList(1976 ^ [])],extension(861 ^ 3,bind([[_265084, _265222], [1976 ^ [], nil]]))).
% 0.73/1.38 ncf('1.1.1',plain,[1976 ^ [] = nil, -(1982 ^ [] = nil), 1982 ^ [] = 1976 ^ []],extension(10 ^ 8,bind([[_232962, _232964, _232966], [nil, 1976 ^ [], 1982 ^ []]]))).
% 0.73/1.38 ncf('1.1.1.1',plain,[1982 ^ [] = nil, -(singletonP(nil)), singletonP(1982 ^ [])],extension(222 ^ 9,bind([[_239482, _239484], [nil, 1982 ^ []]]))).
% 0.73/1.38 ncf('1.1.1.1.1',plain,[singletonP(nil)],extension(1211 ^ 10)).
% 0.73/1.38 ncf('1.1.1.1.2',plain,[-(singletonP(1982 ^ []))],extension(1997 ^ 10)).
% 0.73/1.38 ncf('1.1.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 9,bind([[_232758, _232760], [1982 ^ [], 1976 ^ []]]))).
% 0.73/1.38 ncf('1.1.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 10)).
% 0.73/1.38 ncf('1.1.2',plain,[-(ssList(nil))],extension(891 ^ 6)).
% 0.73/1.38 ncf('1.1.3',plain,[-(ssList(1976 ^ []))],extension(1978 ^ 4)).
% 0.73/1.38 ncf('1.2',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(232 ^ 3,bind([[_239785, _239787, _239789, _239791], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 0.73/1.38 ncf('1.2.1',plain,[-(neq(1979 ^ [], nil))],extension(2001 ^ 4)).
% 0.73/1.38 ncf('1.2.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 4)).
% 0.73/1.38 ncf('1.2.3',plain,[-(nil = nil)],extension(2 ^ 4,bind([[_232651], [nil]]))).
% 0.73/1.38 %-----------------------------------------------------
% 0.73/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------