TSTP Solution File: SWC365+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC365+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 12:13:21 EDT 2023
% Result : Theorem 10.81s 10.68s
% Output : Proof 10.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC365+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n020.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 01:21:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 10.81/10.68
% 10.81/10.68 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 10.81/10.68 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.81/10.68 %-----------------------------------------------------
% 10.81/10.68 ncf(matrix, plain, [(1978 ^ _231937) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _231937) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _231937) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _231937) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _231937) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _231937) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _231937) ^ [] : [-(neq(1979 ^ [], nil))], (1995 ^ _231937) ^ [] : [rearsegP(1979 ^ [], 1976 ^ [])], (1997 ^ _231937) ^ [] : [-(nil = 1982 ^ []), nil = 1985 ^ []], (2003 ^ _231937) ^ [] : [neq(1985 ^ [], nil), 2006 ^ _231937 : [(2007 ^ _231937) ^ [] : [-(neq(1982 ^ [], nil))], (2009 ^ _231937) ^ [] : [-(rearsegP(1985 ^ [], 1982 ^ []))]]], (246 ^ _231937) ^ [_239741, _239743, _239745, _239747] : [-(cons(_239747, _239743) = cons(_239745, _239741)), _239747 = _239745, _239743 = _239741], (256 ^ _231937) ^ [_240072, _240074] : [_240074 = _240072, -(hd(_240074) = hd(_240072))], (272 ^ _231937) ^ [_240629, _240631] : [_240631 = _240629, -(tl(_240631) = tl(_240629))], (262 ^ _231937) ^ [_240318, _240320, _240322, _240324] : [-(app(_240324, _240320) = app(_240322, _240318)), _240324 = _240322, _240320 = _240318], (2 ^ _231937) ^ [_232081] : [-(_232081 = _232081)], (4 ^ _231937) ^ [_232188, _232190] : [_232190 = _232188, -(_232188 = _232190)], (10 ^ _231937) ^ [_232392, _232394, _232396] : [-(_232396 = _232392), _232396 = _232394, _232394 = _232392], (20 ^ _231937) ^ [_232733, _232735, _232737, _232739] : [-(memberP(_232737, _232733)), memberP(_232739, _232735), _232739 = _232737, _232735 = _232733], (34 ^ _231937) ^ [_233149, _233151] : [-(singletonP(_233149)), _233151 = _233149, singletonP(_233151)], (44 ^ _231937) ^ [_233472, _233474, _233476, _233478] : [-(frontsegP(_233476, _233472)), frontsegP(_233478, _233474), _233478 = _233476, _233474 = _233472], (58 ^ _231937) ^ [_233916, _233918, _233920, _233922] : [-(segmentP(_233920, _233916)), segmentP(_233922, _233918), _233922 = _233920, _233918 = _233916], (72 ^ _231937) ^ [_234332, _234334] : [-(cyclefreeP(_234332)), _234334 = _234332, cyclefreeP(_234334)], (82 ^ _231937) ^ [_234627, _234629] : [-(totalorderP(_234627)), _234629 = _234627, totalorderP(_234629)], (92 ^ _231937) ^ [_234922, _234924] : [-(strictorderP(_234922)), _234924 = _234922, strictorderP(_234924)], (102 ^ _231937) ^ [_235217, _235219] : [-(totalorderedP(_235217)), _235219 = _235217, totalorderedP(_235219)], (112 ^ _231937) ^ [_235512, _235514] : [-(strictorderedP(_235512)), _235514 = _235512, strictorderedP(_235514)], (122 ^ _231937) ^ [_235807, _235809] : [-(duplicatefreeP(_235807)), _235809 = _235807, duplicatefreeP(_235809)], (132 ^ _231937) ^ [_236102, _236104] : [-(equalelemsP(_236102)), _236104 = _236102, equalelemsP(_236104)], (142 ^ _231937) ^ [_236425, _236427, _236429, _236431] : [-(geq(_236429, _236425)), geq(_236431, _236427), _236431 = _236429, _236427 = _236425], (156 ^ _231937) ^ [_236869, _236871, _236873, _236875] : [-(lt(_236873, _236869)), lt(_236875, _236871), _236875 = _236873, _236871 = _236869], (170 ^ _231937) ^ [_237313, _237315, _237317, _237319] : [-(leq(_237317, _237313)), leq(_237319, _237315), _237319 = _237317, _237315 = _237313], (184 ^ _231937) ^ [_237729, _237731] : [-(ssItem(_237729)), _237731 = _237729, ssItem(_237731)], (194 ^ _231937) ^ [_238052, _238054, _238056, _238058] : [-(gt(_238056, _238052)), gt(_238058, _238054), _238058 = _238056, _238054 = _238052], (208 ^ _231937) ^ [_238468, _238470] : [-(ssList(_238468)), _238470 = _238468, ssList(_238470)], (218 ^ _231937) ^ [_238791, _238793, _238795, _238797] : [-(neq(_238795, _238791)), neq(_238797, _238793), _238797 = _238795, _238793 = _238791], (232 ^ _231937) ^ [_239215, _239217, _239219, _239221] : [-(rearsegP(_239219, _239215)), rearsegP(_239221, _239217), _239221 = _239219, _239217 = _239215], (278 ^ _231937) ^ [_240851] : [ssItem(_240851), 281 ^ _231937 : [(282 ^ _231937) ^ [_240989] : [ssItem(_240989), 285 ^ _231937 : [(286 ^ _231937) ^ [] : [neq(_240851, _240989), _240851 = _240989], (292 ^ _231937) ^ [] : [-(_240851 = _240989), -(neq(_240851, _240989))]]]]], (299 ^ _231937) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _231937) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _231937) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _231937) ^ [_241702] : [ssList(_241702), 309 ^ _231937 : [(310 ^ _231937) ^ [_241864] : [ssItem(_241864), 313 ^ _231937 : [(314 ^ _231937) ^ [] : [memberP(_241702, _241864), 318 ^ _231937 : [(319 ^ _231937) ^ [] : [-(ssList(317 ^ [_241702, _241864]))], (322 ^ _231937) ^ [] : [-(ssList(320 ^ [_241702, _241864]))], (324 ^ _231937) ^ [] : [-(app(317 ^ [_241702, _241864], cons(_241864, 320 ^ [_241702, _241864])) = _241702)]]], (326 ^ _231937) ^ [] : [-(memberP(_241702, _241864)), 327 ^ _231937 : [(328 ^ _231937) ^ [_242512] : [ssList(_242512), 331 ^ _231937 : [(332 ^ _231937) ^ [_242660] : [ssList(_242660), app(_242512, cons(_241864, _242660)) = _241702]]]]]]]]], (340 ^ _231937) ^ [_242951] : [ssList(_242951), 343 ^ _231937 : [(344 ^ _231937) ^ [] : [singletonP(_242951), 348 ^ _231937 : [(349 ^ _231937) ^ [] : [-(ssItem(347 ^ [_242951]))], (351 ^ _231937) ^ [] : [-(cons(347 ^ [_242951], nil) = _242951)]]], (353 ^ _231937) ^ [] : [-(singletonP(_242951)), 354 ^ _231937 : [(355 ^ _231937) ^ [_243400] : [ssItem(_243400), cons(_243400, nil) = _242951]]]]], (363 ^ _231937) ^ [_243656] : [ssList(_243656), 366 ^ _231937 : [(367 ^ _231937) ^ [_243805] : [ssList(_243805), 370 ^ _231937 : [(371 ^ _231937) ^ [] : [frontsegP(_243656, _243805), 375 ^ _231937 : [(376 ^ _231937) ^ [] : [-(ssList(374 ^ [_243656, _243805]))], (378 ^ _231937) ^ [] : [-(app(_243805, 374 ^ [_243656, _243805]) = _243656)]]], (380 ^ _231937) ^ [] : [-(frontsegP(_243656, _243805)), 381 ^ _231937 : [(382 ^ _231937) ^ [_244280] : [ssList(_244280), app(_243805, _244280) = _243656]]]]]]], (390 ^ _231937) ^ [_244552] : [ssList(_244552), 393 ^ _231937 : [(394 ^ _231937) ^ [_244701] : [ssList(_244701), 397 ^ _231937 : [(398 ^ _231937) ^ [] : [rearsegP(_244552, _244701), 402 ^ _231937 : [(403 ^ _231937) ^ [] : [-(ssList(401 ^ [_244552, _244701]))], (405 ^ _231937) ^ [] : [-(app(401 ^ [_244552, _244701], _244701) = _244552)]]], (407 ^ _231937) ^ [] : [-(rearsegP(_244552, _244701)), 408 ^ _231937 : [(409 ^ _231937) ^ [_245176] : [ssList(_245176), app(_245176, _244701) = _244552]]]]]]], (417 ^ _231937) ^ [_245448] : [ssList(_245448), 420 ^ _231937 : [(421 ^ _231937) ^ [_245610] : [ssList(_245610), 424 ^ _231937 : [(425 ^ _231937) ^ [] : [segmentP(_245448, _245610), 429 ^ _231937 : [(430 ^ _231937) ^ [] : [-(ssList(428 ^ [_245448, _245610]))], (433 ^ _231937) ^ [] : [-(ssList(431 ^ [_245448, _245610]))], (435 ^ _231937) ^ [] : [-(app(app(428 ^ [_245448, _245610], _245610), 431 ^ [_245448, _245610]) = _245448)]]], (437 ^ _231937) ^ [] : [-(segmentP(_245448, _245610)), 438 ^ _231937 : [(439 ^ _231937) ^ [_246258] : [ssList(_246258), 442 ^ _231937 : [(443 ^ _231937) ^ [_246406] : [ssList(_246406), app(app(_246258, _245610), _246406) = _245448]]]]]]]]], (451 ^ _231937) ^ [_246697] : [ssList(_246697), 454 ^ _231937 : [(489 ^ _231937) ^ [] : [491 ^ _231937 : [(492 ^ _231937) ^ [] : [-(ssItem(490 ^ [_246697]))], (495 ^ _231937) ^ [] : [-(ssItem(493 ^ [_246697]))], (498 ^ _231937) ^ [] : [-(ssList(496 ^ [_246697]))], (501 ^ _231937) ^ [] : [-(ssList(499 ^ [_246697]))], (504 ^ _231937) ^ [] : [-(ssList(502 ^ [_246697]))], (506 ^ _231937) ^ [] : [-(app(app(496 ^ [_246697], cons(490 ^ [_246697], 499 ^ [_246697])), cons(493 ^ [_246697], 502 ^ [_246697])) = _246697)], (508 ^ _231937) ^ [] : [-(leq(490 ^ [_246697], 493 ^ [_246697]))], (510 ^ _231937) ^ [] : [-(leq(493 ^ [_246697], 490 ^ [_246697]))]], -(cyclefreeP(_246697))], (455 ^ _231937) ^ [] : [cyclefreeP(_246697), 458 ^ _231937 : [(459 ^ _231937) ^ [_247001] : [ssItem(_247001), 462 ^ _231937 : [(463 ^ _231937) ^ [_247193] : [ssItem(_247193), 466 ^ _231937 : [(467 ^ _231937) ^ [_247381] : [ssList(_247381), 470 ^ _231937 : [(471 ^ _231937) ^ [_247565] : [ssList(_247565), 474 ^ _231937 : [(475 ^ _231937) ^ [_247745] : [ssList(_247745), app(app(_247381, cons(_247001, _247565)), cons(_247193, _247745)) = _246697, leq(_247001, _247193), leq(_247193, _247001)]]]]]]]]]]]]], (514 ^ _231937) ^ [_249483] : [ssList(_249483), 517 ^ _231937 : [(552 ^ _231937) ^ [] : [554 ^ _231937 : [(555 ^ _231937) ^ [] : [-(ssItem(553 ^ [_249483]))], (558 ^ _231937) ^ [] : [-(ssItem(556 ^ [_249483]))], (561 ^ _231937) ^ [] : [-(ssList(559 ^ [_249483]))], (564 ^ _231937) ^ [] : [-(ssList(562 ^ [_249483]))], (567 ^ _231937) ^ [] : [-(ssList(565 ^ [_249483]))], (569 ^ _231937) ^ [] : [-(app(app(559 ^ [_249483], cons(553 ^ [_249483], 562 ^ [_249483])), cons(556 ^ [_249483], 565 ^ [_249483])) = _249483)], (571 ^ _231937) ^ [] : [leq(553 ^ [_249483], 556 ^ [_249483])], (573 ^ _231937) ^ [] : [leq(556 ^ [_249483], 553 ^ [_249483])]], -(totalorderP(_249483))], (518 ^ _231937) ^ [] : [totalorderP(_249483), 521 ^ _231937 : [(522 ^ _231937) ^ [_249785] : [ssItem(_249785), 525 ^ _231937 : [(526 ^ _231937) ^ [_249975] : [ssItem(_249975), 529 ^ _231937 : [(530 ^ _231937) ^ [_250161] : [ssList(_250161), 533 ^ _231937 : [(534 ^ _231937) ^ [_250343] : [ssList(_250343), 537 ^ _231937 : [(538 ^ _231937) ^ [_250521] : [ssList(_250521), app(app(_250161, cons(_249785, _250343)), cons(_249975, _250521)) = _249483, -(leq(_249785, _249975)), -(leq(_249975, _249785))]]]]]]]]]]]]], (577 ^ _231937) ^ [_252247] : [ssList(_252247), 580 ^ _231937 : [(615 ^ _231937) ^ [] : [617 ^ _231937 : [(618 ^ _231937) ^ [] : [-(ssItem(616 ^ [_252247]))], (621 ^ _231937) ^ [] : [-(ssItem(619 ^ [_252247]))], (624 ^ _231937) ^ [] : [-(ssList(622 ^ [_252247]))], (627 ^ _231937) ^ [] : [-(ssList(625 ^ [_252247]))], (630 ^ _231937) ^ [] : [-(ssList(628 ^ [_252247]))], (632 ^ _231937) ^ [] : [-(app(app(622 ^ [_252247], cons(616 ^ [_252247], 625 ^ [_252247])), cons(619 ^ [_252247], 628 ^ [_252247])) = _252247)], (634 ^ _231937) ^ [] : [lt(616 ^ [_252247], 619 ^ [_252247])], (636 ^ _231937) ^ [] : [lt(619 ^ [_252247], 616 ^ [_252247])]], -(strictorderP(_252247))], (581 ^ _231937) ^ [] : [strictorderP(_252247), 584 ^ _231937 : [(585 ^ _231937) ^ [_252549] : [ssItem(_252549), 588 ^ _231937 : [(589 ^ _231937) ^ [_252739] : [ssItem(_252739), 592 ^ _231937 : [(593 ^ _231937) ^ [_252925] : [ssList(_252925), 596 ^ _231937 : [(597 ^ _231937) ^ [_253107] : [ssList(_253107), 600 ^ _231937 : [(601 ^ _231937) ^ [_253285] : [ssList(_253285), app(app(_252925, cons(_252549, _253107)), cons(_252739, _253285)) = _252247, -(lt(_252549, _252739)), -(lt(_252739, _252549))]]]]]]]]]]]]], (640 ^ _231937) ^ [_255011] : [ssList(_255011), 643 ^ _231937 : [(674 ^ _231937) ^ [] : [676 ^ _231937 : [(677 ^ _231937) ^ [] : [-(ssItem(675 ^ [_255011]))], (680 ^ _231937) ^ [] : [-(ssItem(678 ^ [_255011]))], (683 ^ _231937) ^ [] : [-(ssList(681 ^ [_255011]))], (686 ^ _231937) ^ [] : [-(ssList(684 ^ [_255011]))], (689 ^ _231937) ^ [] : [-(ssList(687 ^ [_255011]))], (691 ^ _231937) ^ [] : [-(app(app(681 ^ [_255011], cons(675 ^ [_255011], 684 ^ [_255011])), cons(678 ^ [_255011], 687 ^ [_255011])) = _255011)], (693 ^ _231937) ^ [] : [leq(675 ^ [_255011], 678 ^ [_255011])]], -(totalorderedP(_255011))], (644 ^ _231937) ^ [] : [totalorderedP(_255011), 647 ^ _231937 : [(648 ^ _231937) ^ [_255307] : [ssItem(_255307), 651 ^ _231937 : [(652 ^ _231937) ^ [_255491] : [ssItem(_255491), 655 ^ _231937 : [(656 ^ _231937) ^ [_255671] : [ssList(_255671), 659 ^ _231937 : [(660 ^ _231937) ^ [_255847] : [ssList(_255847), 663 ^ _231937 : [(664 ^ _231937) ^ [_256019] : [ssList(_256019), app(app(_255671, cons(_255307, _255847)), cons(_255491, _256019)) = _255011, -(leq(_255307, _255491))]]]]]]]]]]]]], (697 ^ _231937) ^ [_257499] : [ssList(_257499), 700 ^ _231937 : [(731 ^ _231937) ^ [] : [733 ^ _231937 : [(734 ^ _231937) ^ [] : [-(ssItem(732 ^ [_257499]))], (737 ^ _231937) ^ [] : [-(ssItem(735 ^ [_257499]))], (740 ^ _231937) ^ [] : [-(ssList(738 ^ [_257499]))], (743 ^ _231937) ^ [] : [-(ssList(741 ^ [_257499]))], (746 ^ _231937) ^ [] : [-(ssList(744 ^ [_257499]))], (748 ^ _231937) ^ [] : [-(app(app(738 ^ [_257499], cons(732 ^ [_257499], 741 ^ [_257499])), cons(735 ^ [_257499], 744 ^ [_257499])) = _257499)], (750 ^ _231937) ^ [] : [lt(732 ^ [_257499], 735 ^ [_257499])]], -(strictorderedP(_257499))], (701 ^ _231937) ^ [] : [strictorderedP(_257499), 704 ^ _231937 : [(705 ^ _231937) ^ [_257795] : [ssItem(_257795), 708 ^ _231937 : [(709 ^ _231937) ^ [_257979] : [ssItem(_257979), 712 ^ _231937 : [(713 ^ _231937) ^ [_258159] : [ssList(_258159), 716 ^ _231937 : [(717 ^ _231937) ^ [_258335] : [ssList(_258335), 720 ^ _231937 : [(721 ^ _231937) ^ [_258507] : [ssList(_258507), app(app(_258159, cons(_257795, _258335)), cons(_257979, _258507)) = _257499, -(lt(_257795, _257979))]]]]]]]]]]]]], (754 ^ _231937) ^ [_259987] : [ssList(_259987), 757 ^ _231937 : [(788 ^ _231937) ^ [] : [790 ^ _231937 : [(791 ^ _231937) ^ [] : [-(ssItem(789 ^ [_259987]))], (794 ^ _231937) ^ [] : [-(ssItem(792 ^ [_259987]))], (797 ^ _231937) ^ [] : [-(ssList(795 ^ [_259987]))], (800 ^ _231937) ^ [] : [-(ssList(798 ^ [_259987]))], (803 ^ _231937) ^ [] : [-(ssList(801 ^ [_259987]))], (805 ^ _231937) ^ [] : [-(app(app(795 ^ [_259987], cons(789 ^ [_259987], 798 ^ [_259987])), cons(792 ^ [_259987], 801 ^ [_259987])) = _259987)], (807 ^ _231937) ^ [] : [-(789 ^ [_259987] = 792 ^ [_259987])]], -(duplicatefreeP(_259987))], (758 ^ _231937) ^ [] : [duplicatefreeP(_259987), 761 ^ _231937 : [(762 ^ _231937) ^ [_260285] : [ssItem(_260285), 765 ^ _231937 : [(766 ^ _231937) ^ [_260471] : [ssItem(_260471), 769 ^ _231937 : [(770 ^ _231937) ^ [_260653] : [ssList(_260653), 773 ^ _231937 : [(774 ^ _231937) ^ [_260831] : [ssList(_260831), 777 ^ _231937 : [(778 ^ _231937) ^ [_261005] : [ssList(_261005), app(app(_260653, cons(_260285, _260831)), cons(_260471, _261005)) = _259987, _260285 = _260471]]]]]]]]]]]]], (811 ^ _231937) ^ [_262497] : [ssList(_262497), 814 ^ _231937 : [(841 ^ _231937) ^ [] : [843 ^ _231937 : [(844 ^ _231937) ^ [] : [-(ssItem(842 ^ [_262497]))], (847 ^ _231937) ^ [] : [-(ssItem(845 ^ [_262497]))], (850 ^ _231937) ^ [] : [-(ssList(848 ^ [_262497]))], (853 ^ _231937) ^ [] : [-(ssList(851 ^ [_262497]))], (855 ^ _231937) ^ [] : [-(app(848 ^ [_262497], cons(842 ^ [_262497], cons(845 ^ [_262497], 851 ^ [_262497]))) = _262497)], (857 ^ _231937) ^ [] : [842 ^ [_262497] = 845 ^ [_262497]]], -(equalelemsP(_262497))], (815 ^ _231937) ^ [] : [equalelemsP(_262497), 818 ^ _231937 : [(819 ^ _231937) ^ [_262780] : [ssItem(_262780), 822 ^ _231937 : [(823 ^ _231937) ^ [_262951] : [ssItem(_262951), 826 ^ _231937 : [(827 ^ _231937) ^ [_263118] : [ssList(_263118), 830 ^ _231937 : [(831 ^ _231937) ^ [_263281] : [ssList(_263281), app(_263118, cons(_262780, cons(_262951, _263281))) = _262497, -(_262780 = _262951)]]]]]]]]]]], (861 ^ _231937) ^ [_264514] : [ssList(_264514), 864 ^ _231937 : [(865 ^ _231937) ^ [_264652] : [ssList(_264652), 868 ^ _231937 : [(869 ^ _231937) ^ [] : [neq(_264514, _264652), _264514 = _264652], (875 ^ _231937) ^ [] : [-(_264514 = _264652), -(neq(_264514, _264652))]]]]], (881 ^ _231937) ^ [_265105] : [ssList(_265105), 884 ^ _231937 : [(885 ^ _231937) ^ [_265237] : [ssItem(_265237), -(ssList(cons(_265237, _265105)))]]], (891 ^ _231937) ^ [] : [-(ssList(nil))], (893 ^ _231937) ^ [_265495] : [ssList(_265495), 896 ^ _231937 : [(897 ^ _231937) ^ [_265630] : [ssItem(_265630), cons(_265630, _265495) = _265495]]], (903 ^ _231937) ^ [_265838] : [ssList(_265838), 906 ^ _231937 : [(907 ^ _231937) ^ [_266006] : [ssList(_266006), 910 ^ _231937 : [(911 ^ _231937) ^ [_266170] : [ssItem(_266170), 914 ^ _231937 : [(915 ^ _231937) ^ [_266330] : [ssItem(_266330), cons(_266170, _265838) = cons(_266330, _266006), 922 ^ _231937 : [(923 ^ _231937) ^ [] : [-(_266170 = _266330)], (925 ^ _231937) ^ [] : [-(_266006 = _265838)]]]]]]]]], (927 ^ _231937) ^ [_266745] : [ssList(_266745), -(nil = _266745), 935 ^ _231937 : [(936 ^ _231937) ^ [] : [-(ssList(934 ^ [_266745]))], (939 ^ _231937) ^ [] : [-(ssItem(937 ^ [_266745]))], (941 ^ _231937) ^ [] : [-(cons(937 ^ [_266745], 934 ^ [_266745]) = _266745)]]], (943 ^ _231937) ^ [_267309] : [ssList(_267309), 946 ^ _231937 : [(947 ^ _231937) ^ [_267444] : [ssItem(_267444), nil = cons(_267444, _267309)]]], (953 ^ _231937) ^ [_267652] : [ssList(_267652), -(nil = _267652), -(ssItem(hd(_267652)))], (963 ^ _231937) ^ [_267930] : [ssList(_267930), 966 ^ _231937 : [(967 ^ _231937) ^ [_268065] : [ssItem(_268065), -(hd(cons(_268065, _267930)) = _268065)]]], (973 ^ _231937) ^ [_268276] : [ssList(_268276), -(nil = _268276), -(ssList(tl(_268276)))], (983 ^ _231937) ^ [_268554] : [ssList(_268554), 986 ^ _231937 : [(987 ^ _231937) ^ [_268689] : [ssItem(_268689), -(tl(cons(_268689, _268554)) = _268554)]]], (993 ^ _231937) ^ [_268900] : [ssList(_268900), 996 ^ _231937 : [(997 ^ _231937) ^ [_269032] : [ssList(_269032), -(ssList(app(_268900, _269032)))]]], (1003 ^ _231937) ^ [_269237] : [ssList(_269237), 1006 ^ _231937 : [(1007 ^ _231937) ^ [_269389] : [ssList(_269389), 1010 ^ _231937 : [(1011 ^ _231937) ^ [_269537] : [ssItem(_269537), -(cons(_269537, app(_269389, _269237)) = app(cons(_269537, _269389), _269237))]]]]], (1017 ^ _231937) ^ [_269775] : [ssList(_269775), -(app(nil, _269775) = _269775)], (1023 ^ _231937) ^ [_269969] : [ssItem(_269969), 1026 ^ _231937 : [(1027 ^ _231937) ^ [_270111] : [ssItem(_270111), -(_269969 = _270111), leq(_269969, _270111), leq(_270111, _269969)]]], (1041 ^ _231937) ^ [_270490] : [ssItem(_270490), 1044 ^ _231937 : [(1045 ^ _231937) ^ [_270642] : [ssItem(_270642), 1048 ^ _231937 : [(1049 ^ _231937) ^ [_270790] : [ssItem(_270790), -(leq(_270490, _270790)), leq(_270490, _270642), leq(_270642, _270790)]]]]], (1063 ^ _231937) ^ [_271190] : [ssItem(_271190), -(leq(_271190, _271190))], (1069 ^ _231937) ^ [_271378] : [ssItem(_271378), 1072 ^ _231937 : [(1073 ^ _231937) ^ [_271514] : [ssItem(_271514), 1076 ^ _231937 : [(1077 ^ _231937) ^ [] : [geq(_271378, _271514), -(leq(_271514, _271378))], (1083 ^ _231937) ^ [] : [leq(_271514, _271378), -(geq(_271378, _271514))]]]]], (1089 ^ _231937) ^ [_271965] : [ssItem(_271965), 1092 ^ _231937 : [(1093 ^ _231937) ^ [_272103] : [ssItem(_272103), lt(_271965, _272103), lt(_272103, _271965)]]], (1103 ^ _231937) ^ [_272394] : [ssItem(_272394), 1106 ^ _231937 : [(1107 ^ _231937) ^ [_272546] : [ssItem(_272546), 1110 ^ _231937 : [(1111 ^ _231937) ^ [_272694] : [ssItem(_272694), -(lt(_272394, _272694)), lt(_272394, _272546), lt(_272546, _272694)]]]]], (1125 ^ _231937) ^ [_273094] : [ssItem(_273094), 1128 ^ _231937 : [(1129 ^ _231937) ^ [_273230] : [ssItem(_273230), 1132 ^ _231937 : [(1133 ^ _231937) ^ [] : [gt(_273094, _273230), -(lt(_273230, _273094))], (1139 ^ _231937) ^ [] : [lt(_273230, _273094), -(gt(_273094, _273230))]]]]], (1145 ^ _231937) ^ [_273681] : [ssItem(_273681), 1148 ^ _231937 : [(1149 ^ _231937) ^ [_273836] : [ssList(_273836), 1152 ^ _231937 : [(1153 ^ _231937) ^ [_273987] : [ssList(_273987), 1156 ^ _231937 : [(1167 ^ _231937) ^ [] : [1168 ^ _231937 : [(1169 ^ _231937) ^ [] : [memberP(_273836, _273681)], (1171 ^ _231937) ^ [] : [memberP(_273987, _273681)]], -(memberP(app(_273836, _273987), _273681))], (1157 ^ _231937) ^ [] : [memberP(app(_273836, _273987), _273681), -(memberP(_273836, _273681)), -(memberP(_273987, _273681))]]]]]]], (1175 ^ _231937) ^ [_274634] : [ssItem(_274634), 1178 ^ _231937 : [(1179 ^ _231937) ^ [_274789] : [ssItem(_274789), 1182 ^ _231937 : [(1183 ^ _231937) ^ [_274940] : [ssList(_274940), 1186 ^ _231937 : [(1197 ^ _231937) ^ [] : [1198 ^ _231937 : [(1199 ^ _231937) ^ [] : [_274634 = _274789], (1201 ^ _231937) ^ [] : [memberP(_274940, _274634)]], -(memberP(cons(_274789, _274940), _274634))], (1187 ^ _231937) ^ [] : [memberP(cons(_274789, _274940), _274634), -(_274634 = _274789), -(memberP(_274940, _274634))]]]]]]], (1205 ^ _231937) ^ [_275587] : [ssItem(_275587), memberP(nil, _275587)], (1211 ^ _231937) ^ [] : [singletonP(nil)], (1213 ^ _231937) ^ [_275828] : [ssList(_275828), 1216 ^ _231937 : [(1217 ^ _231937) ^ [_275980] : [ssList(_275980), 1220 ^ _231937 : [(1221 ^ _231937) ^ [_276128] : [ssList(_276128), -(frontsegP(_275828, _276128)), frontsegP(_275828, _275980), frontsegP(_275980, _276128)]]]]], (1235 ^ _231937) ^ [_276528] : [ssList(_276528), 1238 ^ _231937 : [(1239 ^ _231937) ^ [_276670] : [ssList(_276670), -(_276528 = _276670), frontsegP(_276528, _276670), frontsegP(_276670, _276528)]]], (1253 ^ _231937) ^ [_277049] : [ssList(_277049), -(frontsegP(_277049, _277049))], (1259 ^ _231937) ^ [_277237] : [ssList(_277237), 1262 ^ _231937 : [(1263 ^ _231937) ^ [_277386] : [ssList(_277386), 1266 ^ _231937 : [(1267 ^ _231937) ^ [_277531] : [ssList(_277531), frontsegP(_277237, _277386), -(frontsegP(app(_277237, _277531), _277386))]]]]], (1277 ^ _231937) ^ [_277844] : [ssItem(_277844), 1280 ^ _231937 : [(1281 ^ _231937) ^ [_278012] : [ssItem(_278012), 1284 ^ _231937 : [(1285 ^ _231937) ^ [_278176] : [ssList(_278176), 1288 ^ _231937 : [(1289 ^ _231937) ^ [_278336] : [ssList(_278336), 1292 ^ _231937 : [(1293 ^ _231937) ^ [] : [frontsegP(cons(_277844, _278176), cons(_278012, _278336)), 1296 ^ _231937 : [(1297 ^ _231937) ^ [] : [-(_277844 = _278012)], (1299 ^ _231937) ^ [] : [-(frontsegP(_278176, _278336))]]], (1301 ^ _231937) ^ [] : [-(frontsegP(cons(_277844, _278176), cons(_278012, _278336))), _277844 = _278012, frontsegP(_278176, _278336)]]]]]]]]], (1311 ^ _231937) ^ [_279021] : [ssList(_279021), -(frontsegP(_279021, nil))], (1317 ^ _231937) ^ [_279209] : [ssList(_279209), 1320 ^ _231937 : [(1321 ^ _231937) ^ [] : [frontsegP(nil, _279209), -(nil = _279209)], (1327 ^ _231937) ^ [] : [nil = _279209, -(frontsegP(nil, _279209))]]], (1333 ^ _231937) ^ [_279637] : [ssList(_279637), 1336 ^ _231937 : [(1337 ^ _231937) ^ [_279789] : [ssList(_279789), 1340 ^ _231937 : [(1341 ^ _231937) ^ [_279937] : [ssList(_279937), -(rearsegP(_279637, _279937)), rearsegP(_279637, _279789), rearsegP(_279789, _279937)]]]]], (1355 ^ _231937) ^ [_280337] : [ssList(_280337), 1358 ^ _231937 : [(1359 ^ _231937) ^ [_280479] : [ssList(_280479), -(_280337 = _280479), rearsegP(_280337, _280479), rearsegP(_280479, _280337)]]], (1373 ^ _231937) ^ [_280858] : [ssList(_280858), -(rearsegP(_280858, _280858))], (1379 ^ _231937) ^ [_281046] : [ssList(_281046), 1382 ^ _231937 : [(1383 ^ _231937) ^ [_281195] : [ssList(_281195), 1386 ^ _231937 : [(1387 ^ _231937) ^ [_281340] : [ssList(_281340), rearsegP(_281046, _281195), -(rearsegP(app(_281340, _281046), _281195))]]]]], (1397 ^ _231937) ^ [_281653] : [ssList(_281653), -(rearsegP(_281653, nil))], (1403 ^ _231937) ^ [_281841] : [ssList(_281841), 1406 ^ _231937 : [(1407 ^ _231937) ^ [] : [rearsegP(nil, _281841), -(nil = _281841)], (1413 ^ _231937) ^ [] : [nil = _281841, -(rearsegP(nil, _281841))]]], (1419 ^ _231937) ^ [_282269] : [ssList(_282269), 1422 ^ _231937 : [(1423 ^ _231937) ^ [_282421] : [ssList(_282421), 1426 ^ _231937 : [(1427 ^ _231937) ^ [_282569] : [ssList(_282569), -(segmentP(_282269, _282569)), segmentP(_282269, _282421), segmentP(_282421, _282569)]]]]], (1441 ^ _231937) ^ [_282969] : [ssList(_282969), 1444 ^ _231937 : [(1445 ^ _231937) ^ [_283111] : [ssList(_283111), -(_282969 = _283111), segmentP(_282969, _283111), segmentP(_283111, _282969)]]], (1459 ^ _231937) ^ [_283490] : [ssList(_283490), -(segmentP(_283490, _283490))], (1465 ^ _231937) ^ [_283678] : [ssList(_283678), 1468 ^ _231937 : [(1469 ^ _231937) ^ [_283840] : [ssList(_283840), 1472 ^ _231937 : [(1473 ^ _231937) ^ [_283998] : [ssList(_283998), 1476 ^ _231937 : [(1477 ^ _231937) ^ [_284152] : [ssList(_284152), segmentP(_283678, _283840), -(segmentP(app(app(_283998, _283678), _284152), _283840))]]]]]]], (1487 ^ _231937) ^ [_284488] : [ssList(_284488), -(segmentP(_284488, nil))], (1493 ^ _231937) ^ [_284676] : [ssList(_284676), 1496 ^ _231937 : [(1497 ^ _231937) ^ [] : [segmentP(nil, _284676), -(nil = _284676)], (1503 ^ _231937) ^ [] : [nil = _284676, -(segmentP(nil, _284676))]]], (1509 ^ _231937) ^ [_285104] : [ssItem(_285104), -(cyclefreeP(cons(_285104, nil)))], (1515 ^ _231937) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _231937) ^ [_285349] : [ssItem(_285349), -(totalorderP(cons(_285349, nil)))], (1523 ^ _231937) ^ [] : [-(totalorderP(nil))], (1525 ^ _231937) ^ [_285594] : [ssItem(_285594), -(strictorderP(cons(_285594, nil)))], (1531 ^ _231937) ^ [] : [-(strictorderP(nil))], (1533 ^ _231937) ^ [_285839] : [ssItem(_285839), -(totalorderedP(cons(_285839, nil)))], (1539 ^ _231937) ^ [] : [-(totalorderedP(nil))], (1541 ^ _231937) ^ [_286084] : [ssItem(_286084), 1544 ^ _231937 : [(1545 ^ _231937) ^ [_286243] : [ssList(_286243), 1548 ^ _231937 : [(1549 ^ _231937) ^ [] : [totalorderedP(cons(_286084, _286243)), -(nil = _286243), 1556 ^ _231937 : [(1557 ^ _231937) ^ [] : [nil = _286243], (1559 ^ _231937) ^ [] : [-(totalorderedP(_286243))], (1561 ^ _231937) ^ [] : [-(leq(_286084, hd(_286243)))]]], (1563 ^ _231937) ^ [] : [-(totalorderedP(cons(_286084, _286243))), 1564 ^ _231937 : [(1565 ^ _231937) ^ [] : [nil = _286243], (1567 ^ _231937) ^ [] : [-(nil = _286243), totalorderedP(_286243), leq(_286084, hd(_286243))]]]]]]], (1579 ^ _231937) ^ [_287178] : [ssItem(_287178), -(strictorderedP(cons(_287178, nil)))], (1585 ^ _231937) ^ [] : [-(strictorderedP(nil))], (1587 ^ _231937) ^ [_287423] : [ssItem(_287423), 1590 ^ _231937 : [(1591 ^ _231937) ^ [_287582] : [ssList(_287582), 1594 ^ _231937 : [(1595 ^ _231937) ^ [] : [strictorderedP(cons(_287423, _287582)), -(nil = _287582), 1602 ^ _231937 : [(1603 ^ _231937) ^ [] : [nil = _287582], (1605 ^ _231937) ^ [] : [-(strictorderedP(_287582))], (1607 ^ _231937) ^ [] : [-(lt(_287423, hd(_287582)))]]], (1609 ^ _231937) ^ [] : [-(strictorderedP(cons(_287423, _287582))), 1610 ^ _231937 : [(1611 ^ _231937) ^ [] : [nil = _287582], (1613 ^ _231937) ^ [] : [-(nil = _287582), strictorderedP(_287582), lt(_287423, hd(_287582))]]]]]]], (1625 ^ _231937) ^ [_288517] : [ssItem(_288517), -(duplicatefreeP(cons(_288517, nil)))], (1631 ^ _231937) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _231937) ^ [_288762] : [ssItem(_288762), -(equalelemsP(cons(_288762, nil)))], (1639 ^ _231937) ^ [] : [-(equalelemsP(nil))], (1641 ^ _231937) ^ [_289007] : [ssList(_289007), -(nil = _289007), 1649 ^ _231937 : [(1650 ^ _231937) ^ [] : [-(ssItem(1648 ^ [_289007]))], (1652 ^ _231937) ^ [] : [-(hd(_289007) = 1648 ^ [_289007])]]], (1654 ^ _231937) ^ [_289421] : [ssList(_289421), -(nil = _289421), 1662 ^ _231937 : [(1663 ^ _231937) ^ [] : [-(ssList(1661 ^ [_289421]))], (1665 ^ _231937) ^ [] : [-(tl(_289421) = 1661 ^ [_289421])]]], (1667 ^ _231937) ^ [_289835] : [ssList(_289835), 1670 ^ _231937 : [(1671 ^ _231937) ^ [_290001] : [ssList(_290001), -(_290001 = _289835), -(nil = _290001), -(nil = _289835), hd(_290001) = hd(_289835), tl(_290001) = tl(_289835)]]], (1693 ^ _231937) ^ [_290580] : [ssList(_290580), -(nil = _290580), -(cons(hd(_290580), tl(_290580)) = _290580)], (1703 ^ _231937) ^ [_290870] : [ssList(_290870), 1706 ^ _231937 : [(1707 ^ _231937) ^ [_291022] : [ssList(_291022), 1710 ^ _231937 : [(1711 ^ _231937) ^ [_291170] : [ssList(_291170), app(_291170, _291022) = app(_290870, _291022), -(_291170 = _290870)]]]]], (1721 ^ _231937) ^ [_291489] : [ssList(_291489), 1724 ^ _231937 : [(1725 ^ _231937) ^ [_291641] : [ssList(_291641), 1728 ^ _231937 : [(1729 ^ _231937) ^ [_291789] : [ssList(_291789), app(_291641, _291789) = app(_291641, _291489), -(_291789 = _291489)]]]]], (1739 ^ _231937) ^ [_292108] : [ssList(_292108), 1742 ^ _231937 : [(1743 ^ _231937) ^ [_292247] : [ssItem(_292247), -(cons(_292247, _292108) = app(cons(_292247, nil), _292108))]]], (1749 ^ _231937) ^ [_292466] : [ssList(_292466), 1752 ^ _231937 : [(1753 ^ _231937) ^ [_292618] : [ssList(_292618), 1756 ^ _231937 : [(1757 ^ _231937) ^ [_292766] : [ssList(_292766), -(app(app(_292466, _292618), _292766) = app(_292466, app(_292618, _292766)))]]]]], (1763 ^ _231937) ^ [_293004] : [ssList(_293004), 1766 ^ _231937 : [(1767 ^ _231937) ^ [_293149] : [ssList(_293149), 1770 ^ _231937 : [(1771 ^ _231937) ^ [] : [nil = app(_293004, _293149), 1774 ^ _231937 : [(1775 ^ _231937) ^ [] : [-(nil = _293149)], (1777 ^ _231937) ^ [] : [-(nil = _293004)]]], (1779 ^ _231937) ^ [] : [-(nil = app(_293004, _293149)), nil = _293149, nil = _293004]]]]], (1789 ^ _231937) ^ [_293767] : [ssList(_293767), -(app(_293767, nil) = _293767)], (1795 ^ _231937) ^ [_293961] : [ssList(_293961), 1798 ^ _231937 : [(1799 ^ _231937) ^ [_294106] : [ssList(_294106), -(nil = _293961), -(hd(app(_293961, _294106)) = hd(_293961))]]], (1809 ^ _231937) ^ [_294413] : [ssList(_294413), 1812 ^ _231937 : [(1813 ^ _231937) ^ [_294561] : [ssList(_294561), -(nil = _294413), -(tl(app(_294413, _294561)) = app(tl(_294413), _294561))]]], (1823 ^ _231937) ^ [_294874] : [ssItem(_294874), 1826 ^ _231937 : [(1827 ^ _231937) ^ [_295016] : [ssItem(_295016), -(_294874 = _295016), geq(_294874, _295016), geq(_295016, _294874)]]], (1841 ^ _231937) ^ [_295395] : [ssItem(_295395), 1844 ^ _231937 : [(1845 ^ _231937) ^ [_295547] : [ssItem(_295547), 1848 ^ _231937 : [(1849 ^ _231937) ^ [_295695] : [ssItem(_295695), -(geq(_295395, _295695)), geq(_295395, _295547), geq(_295547, _295695)]]]]], (1863 ^ _231937) ^ [_296095] : [ssItem(_296095), -(geq(_296095, _296095))], (1869 ^ _231937) ^ [_296283] : [ssItem(_296283), lt(_296283, _296283)], (1875 ^ _231937) ^ [_296472] : [ssItem(_296472), 1878 ^ _231937 : [(1879 ^ _231937) ^ [_296624] : [ssItem(_296624), 1882 ^ _231937 : [(1883 ^ _231937) ^ [_296772] : [ssItem(_296772), -(lt(_296472, _296772)), leq(_296472, _296624), lt(_296624, _296772)]]]]], (1897 ^ _231937) ^ [_297172] : [ssItem(_297172), 1900 ^ _231937 : [(1901 ^ _231937) ^ [_297314] : [ssItem(_297314), leq(_297172, _297314), -(_297172 = _297314), -(lt(_297172, _297314))]]], (1915 ^ _231937) ^ [_297694] : [ssItem(_297694), 1918 ^ _231937 : [(1919 ^ _231937) ^ [_297838] : [ssItem(_297838), 1922 ^ _231937 : [(1923 ^ _231937) ^ [] : [lt(_297694, _297838), 1926 ^ _231937 : [(1927 ^ _231937) ^ [] : [_297694 = _297838], (1929 ^ _231937) ^ [] : [-(leq(_297694, _297838))]]], (1931 ^ _231937) ^ [] : [-(lt(_297694, _297838)), -(_297694 = _297838), leq(_297694, _297838)]]]]], (1941 ^ _231937) ^ [_298449] : [ssItem(_298449), 1944 ^ _231937 : [(1945 ^ _231937) ^ [_298587] : [ssItem(_298587), gt(_298449, _298587), gt(_298587, _298449)]]], (1955 ^ _231937) ^ [_298858] : [ssItem(_298858), 1958 ^ _231937 : [(1959 ^ _231937) ^ [_299010] : [ssItem(_299010), 1962 ^ _231937 : [(1963 ^ _231937) ^ [_299158] : [ssItem(_299158), -(gt(_298858, _299158)), gt(_298858, _299010), gt(_299010, _299158)]]]]]], input).
% 10.81/10.68 ncf('1',plain,[rearsegP(1979 ^ [], 1976 ^ [])],start(1995 ^ 0)).
% 10.81/10.68 ncf('1.1',plain,[-(rearsegP(1979 ^ [], 1976 ^ [])), rearsegP(1985 ^ [], 1982 ^ []), 1985 ^ [] = 1979 ^ [], 1982 ^ [] = 1976 ^ []],extension(232 ^ 1,bind([[_239215, _239217, _239219, _239221], [1976 ^ [], 1982 ^ [], 1979 ^ [], 1985 ^ []]]))).
% 10.81/10.68 ncf('1.1.1',plain,[-(rearsegP(1985 ^ [], 1982 ^ [])), neq(1985 ^ [], nil)],extension(2003 ^ 2)).
% 10.81/10.68 ncf('1.1.1.1',plain,[-(neq(1985 ^ [], nil)), neq(1979 ^ [], nil), 1979 ^ [] = 1985 ^ [], nil = nil],extension(218 ^ 3,bind([[_238791, _238793, _238795, _238797], [nil, nil, 1985 ^ [], 1979 ^ []]]))).
% 10.81/10.68 ncf('1.1.1.1.1',plain,[-(neq(1979 ^ [], nil))],extension(1993 ^ 4)).
% 10.81/10.68 ncf('1.1.1.1.2',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 4)).
% 10.81/10.68 ncf('1.1.1.1.3',plain,[-(nil = nil)],extension(2 ^ 4,bind([[_232081], [nil]]))).
% 10.81/10.68 ncf('1.1.2',plain,[-(1985 ^ [] = 1979 ^ []), 1979 ^ [] = 1985 ^ []],extension(4 ^ 2,bind([[_232188, _232190], [1985 ^ [], 1979 ^ []]]))).
% 10.81/10.68 ncf('1.1.2.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 3)).
% 10.81/10.68 ncf('1.1.3',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 2,bind([[_232188, _232190], [1982 ^ [], 1976 ^ []]]))).
% 10.81/10.68 ncf('1.1.3.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 3)).
% 10.81/10.68 %-----------------------------------------------------
% 10.81/10.68 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------