TSTP Solution File: SWC208+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC208+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 201.35s 194.79s
% Output : Proof 201.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC208+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 01:02:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 201.35/194.79
% 201.35/194.79 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 201.35/194.79 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 201.35/194.79 %-----------------------------------------------------
% 201.35/194.79 ncf(matrix, plain, [(1989 ^ _322237) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1997 ^ _322237) ^ [] : [1998 ^ _322237 : [(2001 ^ _322237) ^ [] : [-(nil = 1982 ^ [])], (1999 ^ _322237) ^ [] : [-(nil = 1985 ^ [])]], 2002 ^ _322237 : [(2005 ^ _322237) ^ [] : [-(frontsegP(1985 ^ [], 1982 ^ []))], (2003 ^ _322237) ^ [] : [-(neq(1982 ^ [], nil))]]], (1995 ^ _322237) ^ [] : [neq(1976 ^ [], nil)], (1991 ^ _322237) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1978 ^ _322237) ^ [] : [-(ssList(1976 ^ []))], (1987 ^ _322237) ^ [] : [-(ssList(1985 ^ []))], (1981 ^ _322237) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _322237) ^ [] : [-(ssList(1982 ^ []))], (1993 ^ _322237) ^ [] : [-(neq(1979 ^ [], nil))], !, (256 ^ _253912) ^ [_262027, _262029] : [_262029 = _262027, -(hd(_262029) = hd(_262027))], (891 ^ _253912) ^ [] : [-(ssList(nil))], (1023 ^ _253912) ^ [_291924] : [ssItem(_291924), 1026 ^ _253912 : [(1027 ^ _253912) ^ [_292066] : [ssItem(_292066), -(_291924 = _292066), leq(_291924, _292066), leq(_292066, _291924)]]], (299 ^ _253912) ^ [] : [-(ssItem(297 ^ []))], (1531 ^ _253912) ^ [] : [-(strictorderP(nil))], (1517 ^ _253912) ^ [_307304] : [ssItem(_307304), -(totalorderP(cons(_307304, nil)))], (1145 ^ _253912) ^ [_295636] : [ssItem(_295636), 1148 ^ _253912 : [(1149 ^ _253912) ^ [_295791] : [ssList(_295791), 1152 ^ _253912 : [(1153 ^ _253912) ^ [_295942] : [ssList(_295942), 1156 ^ _253912 : [(1157 ^ _253912) ^ [] : [memberP(app(_295791, _295942), _295636), -(memberP(_295791, _295636)), -(memberP(_295942, _295636))], (1167 ^ _253912) ^ [] : [1168 ^ _253912 : [(1171 ^ _253912) ^ [] : [memberP(_295942, _295636)], (1169 ^ _253912) ^ [] : [memberP(_295791, _295636)]], -(memberP(app(_295791, _295942), _295636))]]]]]]], (340 ^ _253912) ^ [_264906] : [ssList(_264906), 343 ^ _253912 : [(353 ^ _253912) ^ [] : [-(singletonP(_264906)), 354 ^ _253912 : [(355 ^ _253912) ^ [_265355] : [ssItem(_265355), cons(_265355, nil) = _264906]]], (344 ^ _253912) ^ [] : [singletonP(_264906), 348 ^ _253912 : [(351 ^ _253912) ^ [] : [-(cons(347 ^ [_264906], nil) = _264906)], (349 ^ _253912) ^ [] : [-(ssItem(347 ^ [_264906]))]]]]], (1863 ^ _253912) ^ [_318050] : [ssItem(_318050), -(geq(_318050, _318050))], (304 ^ _253912) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _253912) ^ [_263657] : [ssList(_263657), 309 ^ _253912 : [(310 ^ _253912) ^ [_263819] : [ssItem(_263819), 313 ^ _253912 : [(326 ^ _253912) ^ [] : [-(memberP(_263657, _263819)), 327 ^ _253912 : [(328 ^ _253912) ^ [_264467] : [ssList(_264467), 331 ^ _253912 : [(332 ^ _253912) ^ [_264615] : [ssList(_264615), app(_264467, cons(_263819, _264615)) = _263657]]]]], (314 ^ _253912) ^ [] : [memberP(_263657, _263819), 318 ^ _253912 : [(324 ^ _253912) ^ [] : [-(app(317 ^ [_263657, _263819], cons(_263819, 320 ^ [_263657, _263819])) = _263657)], (322 ^ _253912) ^ [] : [-(ssList(320 ^ [_263657, _263819]))], (319 ^ _253912) ^ [] : [-(ssList(317 ^ [_263657, _263819]))]]]]]]], (1841 ^ _253912) ^ [_317350] : [ssItem(_317350), 1844 ^ _253912 : [(1845 ^ _253912) ^ [_317502] : [ssItem(_317502), 1848 ^ _253912 : [(1849 ^ _253912) ^ [_317650] : [ssItem(_317650), -(geq(_317350, _317650)), geq(_317350, _317502), geq(_317502, _317650)]]]]], (1441 ^ _253912) ^ [_304924] : [ssList(_304924), 1444 ^ _253912 : [(1445 ^ _253912) ^ [_305066] : [ssList(_305066), -(_304924 = _305066), segmentP(_304924, _305066), segmentP(_305066, _304924)]]], (1459 ^ _253912) ^ [_305445] : [ssList(_305445), -(segmentP(_305445, _305445))], (184 ^ _253912) ^ [_259684, _259686] : [-(ssItem(_259684)), _259686 = _259684, ssItem(_259686)], (697 ^ _253912) ^ [_279454] : [ssList(_279454), 700 ^ _253912 : [(701 ^ _253912) ^ [] : [strictorderedP(_279454), 704 ^ _253912 : [(705 ^ _253912) ^ [_279750] : [ssItem(_279750), 708 ^ _253912 : [(709 ^ _253912) ^ [_279934] : [ssItem(_279934), 712 ^ _253912 : [(713 ^ _253912) ^ [_280114] : [ssList(_280114), 716 ^ _253912 : [(717 ^ _253912) ^ [_280290] : [ssList(_280290), 720 ^ _253912 : [(721 ^ _253912) ^ [_280462] : [ssList(_280462), app(app(_280114, cons(_279750, _280290)), cons(_279934, _280462)) = _279454, -(lt(_279750, _279934))]]]]]]]]]]], (731 ^ _253912) ^ [] : [733 ^ _253912 : [(746 ^ _253912) ^ [] : [-(ssList(744 ^ [_279454]))], (737 ^ _253912) ^ [] : [-(ssItem(735 ^ [_279454]))], (734 ^ _253912) ^ [] : [-(ssItem(732 ^ [_279454]))], (740 ^ _253912) ^ [] : [-(ssList(738 ^ [_279454]))], (748 ^ _253912) ^ [] : [-(app(app(738 ^ [_279454], cons(732 ^ [_279454], 741 ^ [_279454])), cons(735 ^ [_279454], 744 ^ [_279454])) = _279454)], (750 ^ _253912) ^ [] : [lt(732 ^ [_279454], 735 ^ [_279454])], (743 ^ _253912) ^ [] : [-(ssList(741 ^ [_279454]))]], -(strictorderedP(_279454))]]], (451 ^ _253912) ^ [_268652] : [ssList(_268652), 454 ^ _253912 : [(455 ^ _253912) ^ [] : [cyclefreeP(_268652), 458 ^ _253912 : [(459 ^ _253912) ^ [_268956] : [ssItem(_268956), 462 ^ _253912 : [(463 ^ _253912) ^ [_269148] : [ssItem(_269148), 466 ^ _253912 : [(467 ^ _253912) ^ [_269336] : [ssList(_269336), 470 ^ _253912 : [(471 ^ _253912) ^ [_269520] : [ssList(_269520), 474 ^ _253912 : [(475 ^ _253912) ^ [_269700] : [ssList(_269700), app(app(_269336, cons(_268956, _269520)), cons(_269148, _269700)) = _268652, leq(_268956, _269148), leq(_269148, _268956)]]]]]]]]]]], (489 ^ _253912) ^ [] : [491 ^ _253912 : [(501 ^ _253912) ^ [] : [-(ssList(499 ^ [_268652]))], (506 ^ _253912) ^ [] : [-(app(app(496 ^ [_268652], cons(490 ^ [_268652], 499 ^ [_268652])), cons(493 ^ [_268652], 502 ^ [_268652])) = _268652)], (504 ^ _253912) ^ [] : [-(ssList(502 ^ [_268652]))], (508 ^ _253912) ^ [] : [-(leq(490 ^ [_268652], 493 ^ [_268652]))], (495 ^ _253912) ^ [] : [-(ssItem(493 ^ [_268652]))], (492 ^ _253912) ^ [] : [-(ssItem(490 ^ [_268652]))], (498 ^ _253912) ^ [] : [-(ssList(496 ^ [_268652]))], (510 ^ _253912) ^ [] : [-(leq(493 ^ [_268652], 490 ^ [_268652]))]], -(cyclefreeP(_268652))]]], (893 ^ _253912) ^ [_287450] : [ssList(_287450), 896 ^ _253912 : [(897 ^ _253912) ^ [_287585] : [ssItem(_287585), cons(_287585, _287450) = _287450]]], (1541 ^ _253912) ^ [_308039] : [ssItem(_308039), 1544 ^ _253912 : [(1545 ^ _253912) ^ [_308198] : [ssList(_308198), 1548 ^ _253912 : [(1563 ^ _253912) ^ [] : [-(totalorderedP(cons(_308039, _308198))), 1564 ^ _253912 : [(1567 ^ _253912) ^ [] : [-(nil = _308198), totalorderedP(_308198), leq(_308039, hd(_308198))], (1565 ^ _253912) ^ [] : [nil = _308198]]], (1549 ^ _253912) ^ [] : [totalorderedP(cons(_308039, _308198)), -(nil = _308198), 1556 ^ _253912 : [(1561 ^ _253912) ^ [] : [-(leq(_308039, hd(_308198)))], (1559 ^ _253912) ^ [] : [-(totalorderedP(_308198))], (1557 ^ _253912) ^ [] : [nil = _308198]]]]]]], (1465 ^ _253912) ^ [_305633] : [ssList(_305633), 1468 ^ _253912 : [(1469 ^ _253912) ^ [_305795] : [ssList(_305795), 1472 ^ _253912 : [(1473 ^ _253912) ^ [_305953] : [ssList(_305953), 1476 ^ _253912 : [(1477 ^ _253912) ^ [_306107] : [ssList(_306107), segmentP(_305633, _305795), -(segmentP(app(app(_305953, _305633), _306107), _305795))]]]]]]], (1587 ^ _253912) ^ [_309378] : [ssItem(_309378), 1590 ^ _253912 : [(1591 ^ _253912) ^ [_309537] : [ssList(_309537), 1594 ^ _253912 : [(1609 ^ _253912) ^ [] : [-(strictorderedP(cons(_309378, _309537))), 1610 ^ _253912 : [(1613 ^ _253912) ^ [] : [-(nil = _309537), strictorderedP(_309537), lt(_309378, hd(_309537))], (1611 ^ _253912) ^ [] : [nil = _309537]]], (1595 ^ _253912) ^ [] : [strictorderedP(cons(_309378, _309537)), -(nil = _309537), 1602 ^ _253912 : [(1607 ^ _253912) ^ [] : [-(lt(_309378, hd(_309537)))], (1605 ^ _253912) ^ [] : [-(strictorderedP(_309537))], (1603 ^ _253912) ^ [] : [nil = _309537]]]]]]], (1311 ^ _253912) ^ [_300976] : [ssList(_300976), -(frontsegP(_300976, nil))], (2 ^ _253912) ^ [_254036] : [-(_254036 = _254036)], (1089 ^ _253912) ^ [_293920] : [ssItem(_293920), 1092 ^ _253912 : [(1093 ^ _253912) ^ [_294058] : [ssItem(_294058), lt(_293920, _294058), lt(_294058, _293920)]]], (1739 ^ _253912) ^ [_314063] : [ssList(_314063), 1742 ^ _253912 : [(1743 ^ _253912) ^ [_314202] : [ssItem(_314202), -(cons(_314202, _314063) = app(cons(_314202, nil), _314063))]]], (4 ^ _253912) ^ [_254143, _254145] : [_254145 = _254143, -(_254143 = _254145)], (1955 ^ _253912) ^ [_320813] : [ssItem(_320813), 1958 ^ _253912 : [(1959 ^ _253912) ^ [_320965] : [ssItem(_320965), 1962 ^ _253912 : [(1963 ^ _253912) ^ [_321113] : [ssItem(_321113), -(gt(_320813, _321113)), gt(_320813, _320965), gt(_320965, _321113)]]]]], (514 ^ _253912) ^ [_271438] : [ssList(_271438), 517 ^ _253912 : [(518 ^ _253912) ^ [] : [totalorderP(_271438), 521 ^ _253912 : [(522 ^ _253912) ^ [_271740] : [ssItem(_271740), 525 ^ _253912 : [(526 ^ _253912) ^ [_271930] : [ssItem(_271930), 529 ^ _253912 : [(530 ^ _253912) ^ [_272116] : [ssList(_272116), 533 ^ _253912 : [(534 ^ _253912) ^ [_272298] : [ssList(_272298), 537 ^ _253912 : [(538 ^ _253912) ^ [_272476] : [ssList(_272476), app(app(_272116, cons(_271740, _272298)), cons(_271930, _272476)) = _271438, -(leq(_271740, _271930)), -(leq(_271930, _271740))]]]]]]]]]]], (552 ^ _253912) ^ [] : [554 ^ _253912 : [(564 ^ _253912) ^ [] : [-(ssList(562 ^ [_271438]))], (569 ^ _253912) ^ [] : [-(app(app(559 ^ [_271438], cons(553 ^ [_271438], 562 ^ [_271438])), cons(556 ^ [_271438], 565 ^ [_271438])) = _271438)], (567 ^ _253912) ^ [] : [-(ssList(565 ^ [_271438]))], (571 ^ _253912) ^ [] : [leq(553 ^ [_271438], 556 ^ [_271438])], (558 ^ _253912) ^ [] : [-(ssItem(556 ^ [_271438]))], (555 ^ _253912) ^ [] : [-(ssItem(553 ^ [_271438]))], (561 ^ _253912) ^ [] : [-(ssList(559 ^ [_271438]))], (573 ^ _253912) ^ [] : [leq(556 ^ [_271438], 553 ^ [_271438])]], -(totalorderP(_271438))]]], (927 ^ _253912) ^ [_288700] : [ssList(_288700), -(nil = _288700), 935 ^ _253912 : [(941 ^ _253912) ^ [] : [-(cons(937 ^ [_288700], 934 ^ [_288700]) = _288700)], (939 ^ _253912) ^ [] : [-(ssItem(937 ^ [_288700]))], (936 ^ _253912) ^ [] : [-(ssList(934 ^ [_288700]))]]], (811 ^ _253912) ^ [_284452] : [ssList(_284452), 814 ^ _253912 : [(815 ^ _253912) ^ [] : [equalelemsP(_284452), 818 ^ _253912 : [(819 ^ _253912) ^ [_284735] : [ssItem(_284735), 822 ^ _253912 : [(823 ^ _253912) ^ [_284906] : [ssItem(_284906), 826 ^ _253912 : [(827 ^ _253912) ^ [_285073] : [ssList(_285073), 830 ^ _253912 : [(831 ^ _253912) ^ [_285236] : [ssList(_285236), app(_285073, cons(_284735, cons(_284906, _285236))) = _284452, -(_284735 = _284906)]]]]]]]]], (841 ^ _253912) ^ [] : [843 ^ _253912 : [(855 ^ _253912) ^ [] : [-(app(848 ^ [_284452], cons(842 ^ [_284452], cons(845 ^ [_284452], 851 ^ [_284452]))) = _284452)], (853 ^ _253912) ^ [] : [-(ssList(851 ^ [_284452]))], (857 ^ _253912) ^ [] : [842 ^ [_284452] = 845 ^ [_284452]], (844 ^ _253912) ^ [] : [-(ssItem(842 ^ [_284452]))], (847 ^ _253912) ^ [] : [-(ssItem(845 ^ [_284452]))], (850 ^ _253912) ^ [] : [-(ssList(848 ^ [_284452]))]], -(equalelemsP(_284452))]]], (1041 ^ _253912) ^ [_292445] : [ssItem(_292445), 1044 ^ _253912 : [(1045 ^ _253912) ^ [_292597] : [ssItem(_292597), 1048 ^ _253912 : [(1049 ^ _253912) ^ [_292745] : [ssItem(_292745), -(leq(_292445, _292745)), leq(_292445, _292597), leq(_292597, _292745)]]]]], (218 ^ _253912) ^ [_260746, _260748, _260750, _260752] : [-(neq(_260750, _260746)), neq(_260752, _260748), _260752 = _260750, _260748 = _260746], (208 ^ _253912) ^ [_260423, _260425] : [-(ssList(_260423)), _260425 = _260423, ssList(_260425)], (963 ^ _253912) ^ [_289885] : [ssList(_289885), 966 ^ _253912 : [(967 ^ _253912) ^ [_290020] : [ssItem(_290020), -(hd(cons(_290020, _289885)) = _290020)]]], (1355 ^ _253912) ^ [_302292] : [ssList(_302292), 1358 ^ _253912 : [(1359 ^ _253912) ^ [_302434] : [ssList(_302434), -(_302292 = _302434), rearsegP(_302292, _302434), rearsegP(_302434, _302292)]]], (417 ^ _253912) ^ [_267403] : [ssList(_267403), 420 ^ _253912 : [(421 ^ _253912) ^ [_267565] : [ssList(_267565), 424 ^ _253912 : [(437 ^ _253912) ^ [] : [-(segmentP(_267403, _267565)), 438 ^ _253912 : [(439 ^ _253912) ^ [_268213] : [ssList(_268213), 442 ^ _253912 : [(443 ^ _253912) ^ [_268361] : [ssList(_268361), app(app(_268213, _267565), _268361) = _267403]]]]], (425 ^ _253912) ^ [] : [segmentP(_267403, _267565), 429 ^ _253912 : [(435 ^ _253912) ^ [] : [-(app(app(428 ^ [_267403, _267565], _267565), 431 ^ [_267403, _267565]) = _267403)], (433 ^ _253912) ^ [] : [-(ssList(431 ^ [_267403, _267565]))], (430 ^ _253912) ^ [] : [-(ssList(428 ^ [_267403, _267565]))]]]]]]], (1525 ^ _253912) ^ [_307549] : [ssItem(_307549), -(strictorderP(cons(_307549, nil)))], (1017 ^ _253912) ^ [_291730] : [ssList(_291730), -(app(nil, _291730) = _291730)], (1175 ^ _253912) ^ [_296589] : [ssItem(_296589), 1178 ^ _253912 : [(1179 ^ _253912) ^ [_296744] : [ssItem(_296744), 1182 ^ _253912 : [(1183 ^ _253912) ^ [_296895] : [ssList(_296895), 1186 ^ _253912 : [(1187 ^ _253912) ^ [] : [memberP(cons(_296744, _296895), _296589), -(_296589 = _296744), -(memberP(_296895, _296589))], (1197 ^ _253912) ^ [] : [1198 ^ _253912 : [(1201 ^ _253912) ^ [] : [memberP(_296895, _296589)], (1199 ^ _253912) ^ [] : [_296589 = _296744]], -(memberP(cons(_296744, _296895), _296589))]]]]]]], (861 ^ _253912) ^ [_286469] : [ssList(_286469), 864 ^ _253912 : [(865 ^ _253912) ^ [_286607] : [ssList(_286607), 868 ^ _253912 : [(875 ^ _253912) ^ [] : [-(_286469 = _286607), -(neq(_286469, _286607))], (869 ^ _253912) ^ [] : [neq(_286469, _286607), _286469 = _286607]]]]], (170 ^ _253912) ^ [_259268, _259270, _259272, _259274] : [-(leq(_259272, _259268)), leq(_259274, _259270), _259274 = _259272, _259270 = _259268], (640 ^ _253912) ^ [_276966] : [ssList(_276966), 643 ^ _253912 : [(644 ^ _253912) ^ [] : [totalorderedP(_276966), 647 ^ _253912 : [(648 ^ _253912) ^ [_277262] : [ssItem(_277262), 651 ^ _253912 : [(652 ^ _253912) ^ [_277446] : [ssItem(_277446), 655 ^ _253912 : [(656 ^ _253912) ^ [_277626] : [ssList(_277626), 659 ^ _253912 : [(660 ^ _253912) ^ [_277802] : [ssList(_277802), 663 ^ _253912 : [(664 ^ _253912) ^ [_277974] : [ssList(_277974), app(app(_277626, cons(_277262, _277802)), cons(_277446, _277974)) = _276966, -(leq(_277262, _277446))]]]]]]]]]]], (674 ^ _253912) ^ [] : [676 ^ _253912 : [(689 ^ _253912) ^ [] : [-(ssList(687 ^ [_276966]))], (680 ^ _253912) ^ [] : [-(ssItem(678 ^ [_276966]))], (677 ^ _253912) ^ [] : [-(ssItem(675 ^ [_276966]))], (683 ^ _253912) ^ [] : [-(ssList(681 ^ [_276966]))], (691 ^ _253912) ^ [] : [-(app(app(681 ^ [_276966], cons(675 ^ [_276966], 684 ^ [_276966])), cons(678 ^ [_276966], 687 ^ [_276966])) = _276966)], (693 ^ _253912) ^ [] : [leq(675 ^ [_276966], 678 ^ [_276966])], (686 ^ _253912) ^ [] : [-(ssList(684 ^ [_276966]))]], -(totalorderedP(_276966))]]], (1277 ^ _253912) ^ [_299799] : [ssItem(_299799), 1280 ^ _253912 : [(1281 ^ _253912) ^ [_299967] : [ssItem(_299967), 1284 ^ _253912 : [(1285 ^ _253912) ^ [_300131] : [ssList(_300131), 1288 ^ _253912 : [(1289 ^ _253912) ^ [_300291] : [ssList(_300291), 1292 ^ _253912 : [(1301 ^ _253912) ^ [] : [-(frontsegP(cons(_299799, _300131), cons(_299967, _300291))), _299799 = _299967, frontsegP(_300131, _300291)], (1293 ^ _253912) ^ [] : [frontsegP(cons(_299799, _300131), cons(_299967, _300291)), 1296 ^ _253912 : [(1299 ^ _253912) ^ [] : [-(frontsegP(_300131, _300291))], (1297 ^ _253912) ^ [] : [-(_299799 = _299967)]]]]]]]]]]], (1205 ^ _253912) ^ [_297542] : [ssItem(_297542), memberP(nil, _297542)], (1631 ^ _253912) ^ [] : [-(duplicatefreeP(nil))], (10 ^ _253912) ^ [_254347, _254349, _254351] : [-(_254351 = _254347), _254351 = _254349, _254349 = _254347], (1213 ^ _253912) ^ [_297783] : [ssList(_297783), 1216 ^ _253912 : [(1217 ^ _253912) ^ [_297935] : [ssList(_297935), 1220 ^ _253912 : [(1221 ^ _253912) ^ [_298083] : [ssList(_298083), -(frontsegP(_297783, _298083)), frontsegP(_297783, _297935), frontsegP(_297935, _298083)]]]]], (1125 ^ _253912) ^ [_295049] : [ssItem(_295049), 1128 ^ _253912 : [(1129 ^ _253912) ^ [_295185] : [ssItem(_295185), 1132 ^ _253912 : [(1139 ^ _253912) ^ [] : [lt(_295185, _295049), -(gt(_295049, _295185))], (1133 ^ _253912) ^ [] : [gt(_295049, _295185), -(lt(_295185, _295049))]]]]], (246 ^ _253912) ^ [_261696, _261698, _261700, _261702] : [-(cons(_261702, _261698) = cons(_261700, _261696)), _261702 = _261700, _261698 = _261696], (1317 ^ _253912) ^ [_301164] : [ssList(_301164), 1320 ^ _253912 : [(1327 ^ _253912) ^ [] : [nil = _301164, -(frontsegP(nil, _301164))], (1321 ^ _253912) ^ [] : [frontsegP(nil, _301164), -(nil = _301164)]]], (1875 ^ _253912) ^ [_318427] : [ssItem(_318427), 1878 ^ _253912 : [(1879 ^ _253912) ^ [_318579] : [ssItem(_318579), 1882 ^ _253912 : [(1883 ^ _253912) ^ [_318727] : [ssItem(_318727), -(lt(_318427, _318727)), leq(_318427, _318579), lt(_318579, _318727)]]]]], (1823 ^ _253912) ^ [_316829] : [ssItem(_316829), 1826 ^ _253912 : [(1827 ^ _253912) ^ [_316971] : [ssItem(_316971), -(_316829 = _316971), geq(_316829, _316971), geq(_316971, _316829)]]], (1373 ^ _253912) ^ [_302813] : [ssList(_302813), -(rearsegP(_302813, _302813))], (302 ^ _253912) ^ [] : [-(ssItem(300 ^ []))], (1693 ^ _253912) ^ [_312535] : [ssList(_312535), -(nil = _312535), -(cons(hd(_312535), tl(_312535)) = _312535)], (1641 ^ _253912) ^ [_310962] : [ssList(_310962), -(nil = _310962), 1649 ^ _253912 : [(1652 ^ _253912) ^ [] : [-(hd(_310962) = 1648 ^ [_310962])], (1650 ^ _253912) ^ [] : [-(ssItem(1648 ^ [_310962]))]]], (1789 ^ _253912) ^ [_315722] : [ssList(_315722), -(app(_315722, nil) = _315722)], (1721 ^ _253912) ^ [_313444] : [ssList(_313444), 1724 ^ _253912 : [(1725 ^ _253912) ^ [_313596] : [ssList(_313596), 1728 ^ _253912 : [(1729 ^ _253912) ^ [_313744] : [ssList(_313744), app(_313596, _313744) = app(_313596, _313444), -(_313744 = _313444)]]]]], (82 ^ _253912) ^ [_256582, _256584] : [-(totalorderP(_256582)), _256584 = _256582, totalorderP(_256584)], (1211 ^ _253912) ^ [] : [singletonP(nil)], (132 ^ _253912) ^ [_258057, _258059] : [-(equalelemsP(_258057)), _258059 = _258057, equalelemsP(_258059)], (1795 ^ _253912) ^ [_315916] : [ssList(_315916), 1798 ^ _253912 : [(1799 ^ _253912) ^ [_316061] : [ssList(_316061), -(nil = _315916), -(hd(app(_315916, _316061)) = hd(_315916))]]], (953 ^ _253912) ^ [_289607] : [ssList(_289607), -(nil = _289607), -(ssItem(hd(_289607)))], (44 ^ _253912) ^ [_255427, _255429, _255431, _255433] : [-(rearsegP(_255431, _255427)), rearsegP(_255433, _255429), _255433 = _255431, _255429 = _255427], (20 ^ _253912) ^ [_254688, _254690, _254692, _254694] : [-(memberP(_254692, _254688)), memberP(_254694, _254690), _254694 = _254692, _254690 = _254688], (34 ^ _253912) ^ [_255104, _255106] : [-(singletonP(_255104)), _255106 = _255104, singletonP(_255106)], (232 ^ _253912) ^ [_261170, _261172, _261174, _261176] : [-(frontsegP(_261174, _261170)), frontsegP(_261176, _261172), _261176 = _261174, _261172 = _261170], (1493 ^ _253912) ^ [_306631] : [ssList(_306631), 1496 ^ _253912 : [(1503 ^ _253912) ^ [] : [nil = _306631, -(segmentP(nil, _306631))], (1497 ^ _253912) ^ [] : [segmentP(nil, _306631), -(nil = _306631)]]], (983 ^ _253912) ^ [_290509] : [ssList(_290509), 986 ^ _253912 : [(987 ^ _253912) ^ [_290644] : [ssItem(_290644), -(tl(cons(_290644, _290509)) = _290509)]]], (1515 ^ _253912) ^ [] : [-(cyclefreeP(nil))], (262 ^ _253912) ^ [_262273, _262275, _262277, _262279] : [-(app(_262279, _262275) = app(_262277, _262273)), _262279 = _262277, _262275 = _262273], (1063 ^ _253912) ^ [_293145] : [ssItem(_293145), -(leq(_293145, _293145))], (1633 ^ _253912) ^ [_310717] : [ssItem(_310717), -(equalelemsP(cons(_310717, nil)))], (1419 ^ _253912) ^ [_304224] : [ssList(_304224), 1422 ^ _253912 : [(1423 ^ _253912) ^ [_304376] : [ssList(_304376), 1426 ^ _253912 : [(1427 ^ _253912) ^ [_304524] : [ssList(_304524), -(segmentP(_304224, _304524)), segmentP(_304224, _304376), segmentP(_304376, _304524)]]]]], (1487 ^ _253912) ^ [_306443] : [ssList(_306443), -(segmentP(_306443, nil))], (1235 ^ _253912) ^ [_298483] : [ssList(_298483), 1238 ^ _253912 : [(1239 ^ _253912) ^ [_298625] : [ssList(_298625), -(_298483 = _298625), frontsegP(_298483, _298625), frontsegP(_298625, _298483)]]], (194 ^ _253912) ^ [_260007, _260009, _260011, _260013] : [-(gt(_260011, _260007)), gt(_260013, _260009), _260013 = _260011, _260009 = _260007], (272 ^ _253912) ^ [_262584, _262586] : [_262586 = _262584, -(tl(_262586) = tl(_262584))], (1941 ^ _253912) ^ [_320404] : [ssItem(_320404), 1944 ^ _253912 : [(1945 ^ _253912) ^ [_320542] : [ssItem(_320542), gt(_320404, _320542), gt(_320542, _320404)]]], (1003 ^ _253912) ^ [_291192] : [ssList(_291192), 1006 ^ _253912 : [(1007 ^ _253912) ^ [_291344] : [ssList(_291344), 1010 ^ _253912 : [(1011 ^ _253912) ^ [_291492] : [ssItem(_291492), -(cons(_291492, app(_291344, _291192)) = app(cons(_291492, _291344), _291192))]]]]], (754 ^ _253912) ^ [_281942] : [ssList(_281942), 757 ^ _253912 : [(758 ^ _253912) ^ [] : [duplicatefreeP(_281942), 761 ^ _253912 : [(762 ^ _253912) ^ [_282240] : [ssItem(_282240), 765 ^ _253912 : [(766 ^ _253912) ^ [_282426] : [ssItem(_282426), 769 ^ _253912 : [(770 ^ _253912) ^ [_282608] : [ssList(_282608), 773 ^ _253912 : [(774 ^ _253912) ^ [_282786] : [ssList(_282786), 777 ^ _253912 : [(778 ^ _253912) ^ [_282960] : [ssList(_282960), app(app(_282608, cons(_282240, _282786)), cons(_282426, _282960)) = _281942, _282240 = _282426]]]]]]]]]]], (788 ^ _253912) ^ [] : [790 ^ _253912 : [(803 ^ _253912) ^ [] : [-(ssList(801 ^ [_281942]))], (794 ^ _253912) ^ [] : [-(ssItem(792 ^ [_281942]))], (791 ^ _253912) ^ [] : [-(ssItem(789 ^ [_281942]))], (797 ^ _253912) ^ [] : [-(ssList(795 ^ [_281942]))], (805 ^ _253912) ^ [] : [-(app(app(795 ^ [_281942], cons(789 ^ [_281942], 798 ^ [_281942])), cons(792 ^ [_281942], 801 ^ [_281942])) = _281942)], (807 ^ _253912) ^ [] : [-(789 ^ [_281942] = 792 ^ [_281942])], (800 ^ _253912) ^ [] : [-(ssList(798 ^ [_281942]))]], -(duplicatefreeP(_281942))]]], (1915 ^ _253912) ^ [_319649] : [ssItem(_319649), 1918 ^ _253912 : [(1919 ^ _253912) ^ [_319793] : [ssItem(_319793), 1922 ^ _253912 : [(1931 ^ _253912) ^ [] : [-(lt(_319649, _319793)), -(_319649 = _319793), leq(_319649, _319793)], (1923 ^ _253912) ^ [] : [lt(_319649, _319793), 1926 ^ _253912 : [(1929 ^ _253912) ^ [] : [-(leq(_319649, _319793))], (1927 ^ _253912) ^ [] : [_319649 = _319793]]]]]]], (993 ^ _253912) ^ [_290855] : [ssList(_290855), 996 ^ _253912 : [(997 ^ _253912) ^ [_290987] : [ssList(_290987), -(ssList(app(_290855, _290987)))]]], (1749 ^ _253912) ^ [_314421] : [ssList(_314421), 1752 ^ _253912 : [(1753 ^ _253912) ^ [_314573] : [ssList(_314573), 1756 ^ _253912 : [(1757 ^ _253912) ^ [_314721] : [ssList(_314721), -(app(app(_314421, _314573), _314721) = app(_314421, app(_314573, _314721)))]]]]], (1103 ^ _253912) ^ [_294349] : [ssItem(_294349), 1106 ^ _253912 : [(1107 ^ _253912) ^ [_294501] : [ssItem(_294501), 1110 ^ _253912 : [(1111 ^ _253912) ^ [_294649] : [ssItem(_294649), -(lt(_294349, _294649)), lt(_294349, _294501), lt(_294501, _294649)]]]]], (156 ^ _253912) ^ [_258824, _258826, _258828, _258830] : [-(lt(_258828, _258824)), lt(_258830, _258826), _258830 = _258828, _258826 = _258824], (1579 ^ _253912) ^ [_309133] : [ssItem(_309133), -(strictorderedP(cons(_309133, nil)))], (92 ^ _253912) ^ [_256877, _256879] : [-(strictorderP(_256877)), _256879 = _256877, strictorderP(_256879)], (1625 ^ _253912) ^ [_310472] : [ssItem(_310472), -(duplicatefreeP(cons(_310472, nil)))], (1333 ^ _253912) ^ [_301592] : [ssList(_301592), 1336 ^ _253912 : [(1337 ^ _253912) ^ [_301744] : [ssList(_301744), 1340 ^ _253912 : [(1341 ^ _253912) ^ [_301892] : [ssList(_301892), -(rearsegP(_301592, _301892)), rearsegP(_301592, _301744), rearsegP(_301744, _301892)]]]]], (1253 ^ _253912) ^ [_299004] : [ssList(_299004), -(frontsegP(_299004, _299004))], (1259 ^ _253912) ^ [_299192] : [ssList(_299192), 1262 ^ _253912 : [(1263 ^ _253912) ^ [_299341] : [ssList(_299341), 1266 ^ _253912 : [(1267 ^ _253912) ^ [_299486] : [ssList(_299486), frontsegP(_299192, _299341), -(frontsegP(app(_299192, _299486), _299341))]]]]], (72 ^ _253912) ^ [_256287, _256289] : [-(cyclefreeP(_256287)), _256289 = _256287, cyclefreeP(_256289)], (1069 ^ _253912) ^ [_293333] : [ssItem(_293333), 1072 ^ _253912 : [(1073 ^ _253912) ^ [_293469] : [ssItem(_293469), 1076 ^ _253912 : [(1083 ^ _253912) ^ [] : [leq(_293469, _293333), -(geq(_293333, _293469))], (1077 ^ _253912) ^ [] : [geq(_293333, _293469), -(leq(_293469, _293333))]]]]], (881 ^ _253912) ^ [_287060] : [ssList(_287060), 884 ^ _253912 : [(885 ^ _253912) ^ [_287192] : [ssItem(_287192), -(ssList(cons(_287192, _287060)))]]], (278 ^ _253912) ^ [_262806] : [ssItem(_262806), 281 ^ _253912 : [(282 ^ _253912) ^ [_262944] : [ssItem(_262944), 285 ^ _253912 : [(292 ^ _253912) ^ [] : [-(_262806 = _262944), -(neq(_262806, _262944))], (286 ^ _253912) ^ [] : [neq(_262806, _262944), _262806 = _262944]]]]], (112 ^ _253912) ^ [_257467, _257469] : [-(strictorderedP(_257467)), _257469 = _257467, strictorderedP(_257469)], (1403 ^ _253912) ^ [_303796] : [ssList(_303796), 1406 ^ _253912 : [(1413 ^ _253912) ^ [] : [nil = _303796, -(rearsegP(nil, _303796))], (1407 ^ _253912) ^ [] : [rearsegP(nil, _303796), -(nil = _303796)]]], (1869 ^ _253912) ^ [_318238] : [ssItem(_318238), lt(_318238, _318238)], (1897 ^ _253912) ^ [_319127] : [ssItem(_319127), 1900 ^ _253912 : [(1901 ^ _253912) ^ [_319269] : [ssItem(_319269), leq(_319127, _319269), -(_319127 = _319269), -(lt(_319127, _319269))]]], (577 ^ _253912) ^ [_274202] : [ssList(_274202), 580 ^ _253912 : [(581 ^ _253912) ^ [] : [strictorderP(_274202), 584 ^ _253912 : [(585 ^ _253912) ^ [_274504] : [ssItem(_274504), 588 ^ _253912 : [(589 ^ _253912) ^ [_274694] : [ssItem(_274694), 592 ^ _253912 : [(593 ^ _253912) ^ [_274880] : [ssList(_274880), 596 ^ _253912 : [(597 ^ _253912) ^ [_275062] : [ssList(_275062), 600 ^ _253912 : [(601 ^ _253912) ^ [_275240] : [ssList(_275240), app(app(_274880, cons(_274504, _275062)), cons(_274694, _275240)) = _274202, -(lt(_274504, _274694)), -(lt(_274694, _274504))]]]]]]]]]]], (615 ^ _253912) ^ [] : [617 ^ _253912 : [(627 ^ _253912) ^ [] : [-(ssList(625 ^ [_274202]))], (632 ^ _253912) ^ [] : [-(app(app(622 ^ [_274202], cons(616 ^ [_274202], 625 ^ [_274202])), cons(619 ^ [_274202], 628 ^ [_274202])) = _274202)], (630 ^ _253912) ^ [] : [-(ssList(628 ^ [_274202]))], (634 ^ _253912) ^ [] : [lt(616 ^ [_274202], 619 ^ [_274202])], (621 ^ _253912) ^ [] : [-(ssItem(619 ^ [_274202]))], (618 ^ _253912) ^ [] : [-(ssItem(616 ^ [_274202]))], (624 ^ _253912) ^ [] : [-(ssList(622 ^ [_274202]))], (636 ^ _253912) ^ [] : [lt(619 ^ [_274202], 616 ^ [_274202])]], -(strictorderP(_274202))]]], (1667 ^ _253912) ^ [_311790] : [ssList(_311790), 1670 ^ _253912 : [(1671 ^ _253912) ^ [_311956] : [ssList(_311956), -(_311956 = _311790), -(nil = _311956), -(nil = _311790), hd(_311956) = hd(_311790), tl(_311956) = tl(_311790)]]], (1703 ^ _253912) ^ [_312825] : [ssList(_312825), 1706 ^ _253912 : [(1707 ^ _253912) ^ [_312977] : [ssList(_312977), 1710 ^ _253912 : [(1711 ^ _253912) ^ [_313125] : [ssList(_313125), app(_313125, _312977) = app(_312825, _312977), -(_313125 = _312825)]]]]], (390 ^ _253912) ^ [_266507] : [ssList(_266507), 393 ^ _253912 : [(394 ^ _253912) ^ [_266656] : [ssList(_266656), 397 ^ _253912 : [(407 ^ _253912) ^ [] : [-(rearsegP(_266507, _266656)), 408 ^ _253912 : [(409 ^ _253912) ^ [_267131] : [ssList(_267131), app(_267131, _266656) = _266507]]], (398 ^ _253912) ^ [] : [rearsegP(_266507, _266656), 402 ^ _253912 : [(405 ^ _253912) ^ [] : [-(app(401 ^ [_266507, _266656], _266656) = _266507)], (403 ^ _253912) ^ [] : [-(ssList(401 ^ [_266507, _266656]))]]]]]]], (973 ^ _253912) ^ [_290231] : [ssList(_290231), -(nil = _290231), -(ssList(tl(_290231)))], (1533 ^ _253912) ^ [_307794] : [ssItem(_307794), -(totalorderedP(cons(_307794, nil)))], (1763 ^ _253912) ^ [_314959] : [ssList(_314959), 1766 ^ _253912 : [(1767 ^ _253912) ^ [_315104] : [ssList(_315104), 1770 ^ _253912 : [(1779 ^ _253912) ^ [] : [-(nil = app(_314959, _315104)), nil = _315104, nil = _314959], (1771 ^ _253912) ^ [] : [nil = app(_314959, _315104), 1774 ^ _253912 : [(1777 ^ _253912) ^ [] : [-(nil = _314959)], (1775 ^ _253912) ^ [] : [-(nil = _315104)]]]]]]], (102 ^ _253912) ^ [_257172, _257174] : [-(totalorderedP(_257172)), _257174 = _257172, totalorderedP(_257174)], (363 ^ _253912) ^ [_265611] : [ssList(_265611), 366 ^ _253912 : [(367 ^ _253912) ^ [_265760] : [ssList(_265760), 370 ^ _253912 : [(380 ^ _253912) ^ [] : [-(frontsegP(_265611, _265760)), 381 ^ _253912 : [(382 ^ _253912) ^ [_266235] : [ssList(_266235), app(_265760, _266235) = _265611]]], (371 ^ _253912) ^ [] : [frontsegP(_265611, _265760), 375 ^ _253912 : [(378 ^ _253912) ^ [] : [-(app(_265760, 374 ^ [_265611, _265760]) = _265611)], (376 ^ _253912) ^ [] : [-(ssList(374 ^ [_265611, _265760]))]]]]]]], (1654 ^ _253912) ^ [_311376] : [ssList(_311376), -(nil = _311376), 1662 ^ _253912 : [(1665 ^ _253912) ^ [] : [-(tl(_311376) = 1661 ^ [_311376])], (1663 ^ _253912) ^ [] : [-(ssList(1661 ^ [_311376]))]]], (1809 ^ _253912) ^ [_316368] : [ssList(_316368), 1812 ^ _253912 : [(1813 ^ _253912) ^ [_316516] : [ssList(_316516), -(nil = _316368), -(tl(app(_316368, _316516)) = app(tl(_316368), _316516))]]], (1523 ^ _253912) ^ [] : [-(totalorderP(nil))], (1397 ^ _253912) ^ [_303608] : [ssList(_303608), -(rearsegP(_303608, nil))], (1639 ^ _253912) ^ [] : [-(equalelemsP(nil))], (1379 ^ _253912) ^ [_303001] : [ssList(_303001), 1382 ^ _253912 : [(1383 ^ _253912) ^ [_303150] : [ssList(_303150), 1386 ^ _253912 : [(1387 ^ _253912) ^ [_303295] : [ssList(_303295), rearsegP(_303001, _303150), -(rearsegP(app(_303295, _303001), _303150))]]]]], (122 ^ _253912) ^ [_257762, _257764] : [-(duplicatefreeP(_257762)), _257764 = _257762, duplicatefreeP(_257764)], (142 ^ _253912) ^ [_258380, _258382, _258384, _258386] : [-(geq(_258384, _258380)), geq(_258386, _258382), _258386 = _258384, _258382 = _258380], (1585 ^ _253912) ^ [] : [-(strictorderedP(nil))], (903 ^ _253912) ^ [_287793] : [ssList(_287793), 906 ^ _253912 : [(907 ^ _253912) ^ [_287961] : [ssList(_287961), 910 ^ _253912 : [(911 ^ _253912) ^ [_288125] : [ssItem(_288125), 914 ^ _253912 : [(915 ^ _253912) ^ [_288285] : [ssItem(_288285), cons(_288125, _287793) = cons(_288285, _287961), 922 ^ _253912 : [(925 ^ _253912) ^ [] : [-(_287961 = _287793)], (923 ^ _253912) ^ [] : [-(_288125 = _288285)]]]]]]]]], (58 ^ _253912) ^ [_255871, _255873, _255875, _255877] : [-(segmentP(_255875, _255871)), segmentP(_255877, _255873), _255877 = _255875, _255873 = _255871], (1539 ^ _253912) ^ [] : [-(totalorderedP(nil))], (1509 ^ _253912) ^ [_307059] : [ssItem(_307059), -(cyclefreeP(cons(_307059, nil)))], (943 ^ _253912) ^ [_289264] : [ssList(_289264), 946 ^ _253912 : [(947 ^ _253912) ^ [_289399] : [ssItem(_289399), nil = cons(_289399, _289264)]]]], input).
% 201.35/194.79 ncf('1',plain,[-(1979 ^ [] = 1985 ^ [])],start(1989 ^ 0)).
% 201.35/194.79 ncf('1.1',plain,[1979 ^ [] = 1985 ^ [], -(neq(1985 ^ [], 1985 ^ [])), neq(1979 ^ [], nil), nil = 1985 ^ []],extension(218 ^ 1,bind([[_260746, _260748, _260750, _260752], [1985 ^ [], nil, 1985 ^ [], 1979 ^ []]]))).
% 201.35/194.79 ncf('1.1.1',plain,[neq(1985 ^ [], 1985 ^ []), 869 : 1985 ^ [] = 1985 ^ [], 869 : ssList(1985 ^ []), 865 : ssList(1985 ^ [])],extension(861 ^ 2,bind([[_286469, _286607], [1985 ^ [], 1985 ^ []]]))).
% 201.35/194.79 ncf('1.1.1.1',plain,[-(1985 ^ [] = 1985 ^ [])],extension(2 ^ 7,bind([[_254036], [1985 ^ []]]))).
% 201.35/194.79 ncf('1.1.1.2',plain,[-(ssList(1985 ^ []))],extension(1987 ^ 5)).
% 201.35/194.79 ncf('1.1.1.3',plain,[-(ssList(1985 ^ []))],extension(1987 ^ 3)).
% 201.35/194.79 ncf('1.1.2',plain,[-(neq(1979 ^ [], nil))],extension(1993 ^ 2)).
% 201.35/194.79 ncf('1.1.3',plain,[-(nil = 1985 ^ []), 2003 : -(neq(1982 ^ [], nil))],extension(1997 ^ 2)).
% 201.35/194.79 ncf('1.1.3.1',plain,[neq(1982 ^ [], nil), -(neq(1976 ^ [], nil)), 1982 ^ [] = 1976 ^ [], nil = nil],extension(218 ^ 5,bind([[_260746, _260748, _260750, _260752], [nil, nil, 1976 ^ [], 1982 ^ []]]))).
% 201.35/194.79 ncf('1.1.3.1.1',plain,[neq(1976 ^ [], nil)],extension(1995 ^ 6)).
% 201.35/194.79 ncf('1.1.3.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 6,bind([[_254143, _254145], [1982 ^ [], 1976 ^ []]]))).
% 201.35/194.79 ncf('1.1.3.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 7)).
% 201.35/194.79 ncf('1.1.3.1.3',plain,[-(nil = nil)],extension(2 ^ 6,bind([[_254036], [nil]]))).
% 201.35/194.79 %-----------------------------------------------------
% 201.35/194.79 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------