TSTP Solution File: SWC209+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC209+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 201.63s 194.85s
% Output : Proof 201.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC209+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % 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 01:03:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 201.63/194.85
% 201.63/194.85 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 201.63/194.85 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.63/194.85 %-----------------------------------------------------
% 201.63/194.85 ncf(matrix, plain, [(1989 ^ _322204) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1997 ^ _322204) ^ [] : [1998 ^ _322204 : [(2001 ^ _322204) ^ [] : [-(nil = 1982 ^ [])], (1999 ^ _322204) ^ [] : [-(nil = 1985 ^ [])]], 2002 ^ _322204 : [(2005 ^ _322204) ^ [] : [-(segmentP(1985 ^ [], 1982 ^ []))], (2003 ^ _322204) ^ [] : [-(neq(1982 ^ [], nil))]]], (1995 ^ _322204) ^ [] : [neq(1976 ^ [], nil)], (1991 ^ _322204) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1978 ^ _322204) ^ [] : [-(ssList(1976 ^ []))], (1987 ^ _322204) ^ [] : [-(ssList(1985 ^ []))], (1981 ^ _322204) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _322204) ^ [] : [-(ssList(1982 ^ []))], (1993 ^ _322204) ^ [] : [-(neq(1979 ^ [], nil))], !, (256 ^ _253879) ^ [_261994, _261996] : [_261996 = _261994, -(hd(_261996) = hd(_261994))], (891 ^ _253879) ^ [] : [-(ssList(nil))], (1023 ^ _253879) ^ [_291891] : [ssItem(_291891), 1026 ^ _253879 : [(1027 ^ _253879) ^ [_292033] : [ssItem(_292033), -(_291891 = _292033), leq(_291891, _292033), leq(_292033, _291891)]]], (299 ^ _253879) ^ [] : [-(ssItem(297 ^ []))], (1531 ^ _253879) ^ [] : [-(strictorderP(nil))], (1517 ^ _253879) ^ [_307271] : [ssItem(_307271), -(totalorderP(cons(_307271, nil)))], (1145 ^ _253879) ^ [_295603] : [ssItem(_295603), 1148 ^ _253879 : [(1149 ^ _253879) ^ [_295758] : [ssList(_295758), 1152 ^ _253879 : [(1153 ^ _253879) ^ [_295909] : [ssList(_295909), 1156 ^ _253879 : [(1157 ^ _253879) ^ [] : [memberP(app(_295758, _295909), _295603), -(memberP(_295758, _295603)), -(memberP(_295909, _295603))], (1167 ^ _253879) ^ [] : [1168 ^ _253879 : [(1171 ^ _253879) ^ [] : [memberP(_295909, _295603)], (1169 ^ _253879) ^ [] : [memberP(_295758, _295603)]], -(memberP(app(_295758, _295909), _295603))]]]]]]], (340 ^ _253879) ^ [_264873] : [ssList(_264873), 343 ^ _253879 : [(353 ^ _253879) ^ [] : [-(singletonP(_264873)), 354 ^ _253879 : [(355 ^ _253879) ^ [_265322] : [ssItem(_265322), cons(_265322, nil) = _264873]]], (344 ^ _253879) ^ [] : [singletonP(_264873), 348 ^ _253879 : [(351 ^ _253879) ^ [] : [-(cons(347 ^ [_264873], nil) = _264873)], (349 ^ _253879) ^ [] : [-(ssItem(347 ^ [_264873]))]]]]], (1863 ^ _253879) ^ [_318017] : [ssItem(_318017), -(geq(_318017, _318017))], (304 ^ _253879) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _253879) ^ [_263624] : [ssList(_263624), 309 ^ _253879 : [(310 ^ _253879) ^ [_263786] : [ssItem(_263786), 313 ^ _253879 : [(326 ^ _253879) ^ [] : [-(memberP(_263624, _263786)), 327 ^ _253879 : [(328 ^ _253879) ^ [_264434] : [ssList(_264434), 331 ^ _253879 : [(332 ^ _253879) ^ [_264582] : [ssList(_264582), app(_264434, cons(_263786, _264582)) = _263624]]]]], (314 ^ _253879) ^ [] : [memberP(_263624, _263786), 318 ^ _253879 : [(324 ^ _253879) ^ [] : [-(app(317 ^ [_263624, _263786], cons(_263786, 320 ^ [_263624, _263786])) = _263624)], (322 ^ _253879) ^ [] : [-(ssList(320 ^ [_263624, _263786]))], (319 ^ _253879) ^ [] : [-(ssList(317 ^ [_263624, _263786]))]]]]]]], (1841 ^ _253879) ^ [_317317] : [ssItem(_317317), 1844 ^ _253879 : [(1845 ^ _253879) ^ [_317469] : [ssItem(_317469), 1848 ^ _253879 : [(1849 ^ _253879) ^ [_317617] : [ssItem(_317617), -(geq(_317317, _317617)), geq(_317317, _317469), geq(_317469, _317617)]]]]], (1441 ^ _253879) ^ [_304891] : [ssList(_304891), 1444 ^ _253879 : [(1445 ^ _253879) ^ [_305033] : [ssList(_305033), -(_304891 = _305033), segmentP(_304891, _305033), segmentP(_305033, _304891)]]], (1459 ^ _253879) ^ [_305412] : [ssList(_305412), -(segmentP(_305412, _305412))], (184 ^ _253879) ^ [_259651, _259653] : [-(ssItem(_259651)), _259653 = _259651, ssItem(_259653)], (697 ^ _253879) ^ [_279421] : [ssList(_279421), 700 ^ _253879 : [(701 ^ _253879) ^ [] : [strictorderedP(_279421), 704 ^ _253879 : [(705 ^ _253879) ^ [_279717] : [ssItem(_279717), 708 ^ _253879 : [(709 ^ _253879) ^ [_279901] : [ssItem(_279901), 712 ^ _253879 : [(713 ^ _253879) ^ [_280081] : [ssList(_280081), 716 ^ _253879 : [(717 ^ _253879) ^ [_280257] : [ssList(_280257), 720 ^ _253879 : [(721 ^ _253879) ^ [_280429] : [ssList(_280429), app(app(_280081, cons(_279717, _280257)), cons(_279901, _280429)) = _279421, -(lt(_279717, _279901))]]]]]]]]]]], (731 ^ _253879) ^ [] : [733 ^ _253879 : [(746 ^ _253879) ^ [] : [-(ssList(744 ^ [_279421]))], (737 ^ _253879) ^ [] : [-(ssItem(735 ^ [_279421]))], (734 ^ _253879) ^ [] : [-(ssItem(732 ^ [_279421]))], (740 ^ _253879) ^ [] : [-(ssList(738 ^ [_279421]))], (748 ^ _253879) ^ [] : [-(app(app(738 ^ [_279421], cons(732 ^ [_279421], 741 ^ [_279421])), cons(735 ^ [_279421], 744 ^ [_279421])) = _279421)], (750 ^ _253879) ^ [] : [lt(732 ^ [_279421], 735 ^ [_279421])], (743 ^ _253879) ^ [] : [-(ssList(741 ^ [_279421]))]], -(strictorderedP(_279421))]]], (451 ^ _253879) ^ [_268619] : [ssList(_268619), 454 ^ _253879 : [(455 ^ _253879) ^ [] : [cyclefreeP(_268619), 458 ^ _253879 : [(459 ^ _253879) ^ [_268923] : [ssItem(_268923), 462 ^ _253879 : [(463 ^ _253879) ^ [_269115] : [ssItem(_269115), 466 ^ _253879 : [(467 ^ _253879) ^ [_269303] : [ssList(_269303), 470 ^ _253879 : [(471 ^ _253879) ^ [_269487] : [ssList(_269487), 474 ^ _253879 : [(475 ^ _253879) ^ [_269667] : [ssList(_269667), app(app(_269303, cons(_268923, _269487)), cons(_269115, _269667)) = _268619, leq(_268923, _269115), leq(_269115, _268923)]]]]]]]]]]], (489 ^ _253879) ^ [] : [491 ^ _253879 : [(501 ^ _253879) ^ [] : [-(ssList(499 ^ [_268619]))], (506 ^ _253879) ^ [] : [-(app(app(496 ^ [_268619], cons(490 ^ [_268619], 499 ^ [_268619])), cons(493 ^ [_268619], 502 ^ [_268619])) = _268619)], (504 ^ _253879) ^ [] : [-(ssList(502 ^ [_268619]))], (508 ^ _253879) ^ [] : [-(leq(490 ^ [_268619], 493 ^ [_268619]))], (495 ^ _253879) ^ [] : [-(ssItem(493 ^ [_268619]))], (492 ^ _253879) ^ [] : [-(ssItem(490 ^ [_268619]))], (498 ^ _253879) ^ [] : [-(ssList(496 ^ [_268619]))], (510 ^ _253879) ^ [] : [-(leq(493 ^ [_268619], 490 ^ [_268619]))]], -(cyclefreeP(_268619))]]], (893 ^ _253879) ^ [_287417] : [ssList(_287417), 896 ^ _253879 : [(897 ^ _253879) ^ [_287552] : [ssItem(_287552), cons(_287552, _287417) = _287417]]], (1541 ^ _253879) ^ [_308006] : [ssItem(_308006), 1544 ^ _253879 : [(1545 ^ _253879) ^ [_308165] : [ssList(_308165), 1548 ^ _253879 : [(1563 ^ _253879) ^ [] : [-(totalorderedP(cons(_308006, _308165))), 1564 ^ _253879 : [(1567 ^ _253879) ^ [] : [-(nil = _308165), totalorderedP(_308165), leq(_308006, hd(_308165))], (1565 ^ _253879) ^ [] : [nil = _308165]]], (1549 ^ _253879) ^ [] : [totalorderedP(cons(_308006, _308165)), -(nil = _308165), 1556 ^ _253879 : [(1561 ^ _253879) ^ [] : [-(leq(_308006, hd(_308165)))], (1559 ^ _253879) ^ [] : [-(totalorderedP(_308165))], (1557 ^ _253879) ^ [] : [nil = _308165]]]]]]], (1465 ^ _253879) ^ [_305600] : [ssList(_305600), 1468 ^ _253879 : [(1469 ^ _253879) ^ [_305762] : [ssList(_305762), 1472 ^ _253879 : [(1473 ^ _253879) ^ [_305920] : [ssList(_305920), 1476 ^ _253879 : [(1477 ^ _253879) ^ [_306074] : [ssList(_306074), segmentP(_305600, _305762), -(segmentP(app(app(_305920, _305600), _306074), _305762))]]]]]]], (1587 ^ _253879) ^ [_309345] : [ssItem(_309345), 1590 ^ _253879 : [(1591 ^ _253879) ^ [_309504] : [ssList(_309504), 1594 ^ _253879 : [(1609 ^ _253879) ^ [] : [-(strictorderedP(cons(_309345, _309504))), 1610 ^ _253879 : [(1613 ^ _253879) ^ [] : [-(nil = _309504), strictorderedP(_309504), lt(_309345, hd(_309504))], (1611 ^ _253879) ^ [] : [nil = _309504]]], (1595 ^ _253879) ^ [] : [strictorderedP(cons(_309345, _309504)), -(nil = _309504), 1602 ^ _253879 : [(1607 ^ _253879) ^ [] : [-(lt(_309345, hd(_309504)))], (1605 ^ _253879) ^ [] : [-(strictorderedP(_309504))], (1603 ^ _253879) ^ [] : [nil = _309504]]]]]]], (1311 ^ _253879) ^ [_300943] : [ssList(_300943), -(frontsegP(_300943, nil))], (2 ^ _253879) ^ [_254003] : [-(_254003 = _254003)], (1089 ^ _253879) ^ [_293887] : [ssItem(_293887), 1092 ^ _253879 : [(1093 ^ _253879) ^ [_294025] : [ssItem(_294025), lt(_293887, _294025), lt(_294025, _293887)]]], (1739 ^ _253879) ^ [_314030] : [ssList(_314030), 1742 ^ _253879 : [(1743 ^ _253879) ^ [_314169] : [ssItem(_314169), -(cons(_314169, _314030) = app(cons(_314169, nil), _314030))]]], (4 ^ _253879) ^ [_254110, _254112] : [_254112 = _254110, -(_254110 = _254112)], (1955 ^ _253879) ^ [_320780] : [ssItem(_320780), 1958 ^ _253879 : [(1959 ^ _253879) ^ [_320932] : [ssItem(_320932), 1962 ^ _253879 : [(1963 ^ _253879) ^ [_321080] : [ssItem(_321080), -(gt(_320780, _321080)), gt(_320780, _320932), gt(_320932, _321080)]]]]], (514 ^ _253879) ^ [_271405] : [ssList(_271405), 517 ^ _253879 : [(518 ^ _253879) ^ [] : [totalorderP(_271405), 521 ^ _253879 : [(522 ^ _253879) ^ [_271707] : [ssItem(_271707), 525 ^ _253879 : [(526 ^ _253879) ^ [_271897] : [ssItem(_271897), 529 ^ _253879 : [(530 ^ _253879) ^ [_272083] : [ssList(_272083), 533 ^ _253879 : [(534 ^ _253879) ^ [_272265] : [ssList(_272265), 537 ^ _253879 : [(538 ^ _253879) ^ [_272443] : [ssList(_272443), app(app(_272083, cons(_271707, _272265)), cons(_271897, _272443)) = _271405, -(leq(_271707, _271897)), -(leq(_271897, _271707))]]]]]]]]]]], (552 ^ _253879) ^ [] : [554 ^ _253879 : [(564 ^ _253879) ^ [] : [-(ssList(562 ^ [_271405]))], (569 ^ _253879) ^ [] : [-(app(app(559 ^ [_271405], cons(553 ^ [_271405], 562 ^ [_271405])), cons(556 ^ [_271405], 565 ^ [_271405])) = _271405)], (567 ^ _253879) ^ [] : [-(ssList(565 ^ [_271405]))], (571 ^ _253879) ^ [] : [leq(553 ^ [_271405], 556 ^ [_271405])], (558 ^ _253879) ^ [] : [-(ssItem(556 ^ [_271405]))], (555 ^ _253879) ^ [] : [-(ssItem(553 ^ [_271405]))], (561 ^ _253879) ^ [] : [-(ssList(559 ^ [_271405]))], (573 ^ _253879) ^ [] : [leq(556 ^ [_271405], 553 ^ [_271405])]], -(totalorderP(_271405))]]], (927 ^ _253879) ^ [_288667] : [ssList(_288667), -(nil = _288667), 935 ^ _253879 : [(941 ^ _253879) ^ [] : [-(cons(937 ^ [_288667], 934 ^ [_288667]) = _288667)], (939 ^ _253879) ^ [] : [-(ssItem(937 ^ [_288667]))], (936 ^ _253879) ^ [] : [-(ssList(934 ^ [_288667]))]]], (811 ^ _253879) ^ [_284419] : [ssList(_284419), 814 ^ _253879 : [(815 ^ _253879) ^ [] : [equalelemsP(_284419), 818 ^ _253879 : [(819 ^ _253879) ^ [_284702] : [ssItem(_284702), 822 ^ _253879 : [(823 ^ _253879) ^ [_284873] : [ssItem(_284873), 826 ^ _253879 : [(827 ^ _253879) ^ [_285040] : [ssList(_285040), 830 ^ _253879 : [(831 ^ _253879) ^ [_285203] : [ssList(_285203), app(_285040, cons(_284702, cons(_284873, _285203))) = _284419, -(_284702 = _284873)]]]]]]]]], (841 ^ _253879) ^ [] : [843 ^ _253879 : [(855 ^ _253879) ^ [] : [-(app(848 ^ [_284419], cons(842 ^ [_284419], cons(845 ^ [_284419], 851 ^ [_284419]))) = _284419)], (853 ^ _253879) ^ [] : [-(ssList(851 ^ [_284419]))], (857 ^ _253879) ^ [] : [842 ^ [_284419] = 845 ^ [_284419]], (844 ^ _253879) ^ [] : [-(ssItem(842 ^ [_284419]))], (847 ^ _253879) ^ [] : [-(ssItem(845 ^ [_284419]))], (850 ^ _253879) ^ [] : [-(ssList(848 ^ [_284419]))]], -(equalelemsP(_284419))]]], (1041 ^ _253879) ^ [_292412] : [ssItem(_292412), 1044 ^ _253879 : [(1045 ^ _253879) ^ [_292564] : [ssItem(_292564), 1048 ^ _253879 : [(1049 ^ _253879) ^ [_292712] : [ssItem(_292712), -(leq(_292412, _292712)), leq(_292412, _292564), leq(_292564, _292712)]]]]], (218 ^ _253879) ^ [_260713, _260715, _260717, _260719] : [-(neq(_260717, _260713)), neq(_260719, _260715), _260719 = _260717, _260715 = _260713], (208 ^ _253879) ^ [_260390, _260392] : [-(ssList(_260390)), _260392 = _260390, ssList(_260392)], (963 ^ _253879) ^ [_289852] : [ssList(_289852), 966 ^ _253879 : [(967 ^ _253879) ^ [_289987] : [ssItem(_289987), -(hd(cons(_289987, _289852)) = _289987)]]], (1355 ^ _253879) ^ [_302259] : [ssList(_302259), 1358 ^ _253879 : [(1359 ^ _253879) ^ [_302401] : [ssList(_302401), -(_302259 = _302401), rearsegP(_302259, _302401), rearsegP(_302401, _302259)]]], (417 ^ _253879) ^ [_267370] : [ssList(_267370), 420 ^ _253879 : [(421 ^ _253879) ^ [_267532] : [ssList(_267532), 424 ^ _253879 : [(437 ^ _253879) ^ [] : [-(segmentP(_267370, _267532)), 438 ^ _253879 : [(439 ^ _253879) ^ [_268180] : [ssList(_268180), 442 ^ _253879 : [(443 ^ _253879) ^ [_268328] : [ssList(_268328), app(app(_268180, _267532), _268328) = _267370]]]]], (425 ^ _253879) ^ [] : [segmentP(_267370, _267532), 429 ^ _253879 : [(435 ^ _253879) ^ [] : [-(app(app(428 ^ [_267370, _267532], _267532), 431 ^ [_267370, _267532]) = _267370)], (433 ^ _253879) ^ [] : [-(ssList(431 ^ [_267370, _267532]))], (430 ^ _253879) ^ [] : [-(ssList(428 ^ [_267370, _267532]))]]]]]]], (1525 ^ _253879) ^ [_307516] : [ssItem(_307516), -(strictorderP(cons(_307516, nil)))], (1017 ^ _253879) ^ [_291697] : [ssList(_291697), -(app(nil, _291697) = _291697)], (1175 ^ _253879) ^ [_296556] : [ssItem(_296556), 1178 ^ _253879 : [(1179 ^ _253879) ^ [_296711] : [ssItem(_296711), 1182 ^ _253879 : [(1183 ^ _253879) ^ [_296862] : [ssList(_296862), 1186 ^ _253879 : [(1187 ^ _253879) ^ [] : [memberP(cons(_296711, _296862), _296556), -(_296556 = _296711), -(memberP(_296862, _296556))], (1197 ^ _253879) ^ [] : [1198 ^ _253879 : [(1201 ^ _253879) ^ [] : [memberP(_296862, _296556)], (1199 ^ _253879) ^ [] : [_296556 = _296711]], -(memberP(cons(_296711, _296862), _296556))]]]]]]], (861 ^ _253879) ^ [_286436] : [ssList(_286436), 864 ^ _253879 : [(865 ^ _253879) ^ [_286574] : [ssList(_286574), 868 ^ _253879 : [(875 ^ _253879) ^ [] : [-(_286436 = _286574), -(neq(_286436, _286574))], (869 ^ _253879) ^ [] : [neq(_286436, _286574), _286436 = _286574]]]]], (170 ^ _253879) ^ [_259235, _259237, _259239, _259241] : [-(leq(_259239, _259235)), leq(_259241, _259237), _259241 = _259239, _259237 = _259235], (640 ^ _253879) ^ [_276933] : [ssList(_276933), 643 ^ _253879 : [(644 ^ _253879) ^ [] : [totalorderedP(_276933), 647 ^ _253879 : [(648 ^ _253879) ^ [_277229] : [ssItem(_277229), 651 ^ _253879 : [(652 ^ _253879) ^ [_277413] : [ssItem(_277413), 655 ^ _253879 : [(656 ^ _253879) ^ [_277593] : [ssList(_277593), 659 ^ _253879 : [(660 ^ _253879) ^ [_277769] : [ssList(_277769), 663 ^ _253879 : [(664 ^ _253879) ^ [_277941] : [ssList(_277941), app(app(_277593, cons(_277229, _277769)), cons(_277413, _277941)) = _276933, -(leq(_277229, _277413))]]]]]]]]]]], (674 ^ _253879) ^ [] : [676 ^ _253879 : [(689 ^ _253879) ^ [] : [-(ssList(687 ^ [_276933]))], (680 ^ _253879) ^ [] : [-(ssItem(678 ^ [_276933]))], (677 ^ _253879) ^ [] : [-(ssItem(675 ^ [_276933]))], (683 ^ _253879) ^ [] : [-(ssList(681 ^ [_276933]))], (691 ^ _253879) ^ [] : [-(app(app(681 ^ [_276933], cons(675 ^ [_276933], 684 ^ [_276933])), cons(678 ^ [_276933], 687 ^ [_276933])) = _276933)], (693 ^ _253879) ^ [] : [leq(675 ^ [_276933], 678 ^ [_276933])], (686 ^ _253879) ^ [] : [-(ssList(684 ^ [_276933]))]], -(totalorderedP(_276933))]]], (1277 ^ _253879) ^ [_299766] : [ssItem(_299766), 1280 ^ _253879 : [(1281 ^ _253879) ^ [_299934] : [ssItem(_299934), 1284 ^ _253879 : [(1285 ^ _253879) ^ [_300098] : [ssList(_300098), 1288 ^ _253879 : [(1289 ^ _253879) ^ [_300258] : [ssList(_300258), 1292 ^ _253879 : [(1301 ^ _253879) ^ [] : [-(frontsegP(cons(_299766, _300098), cons(_299934, _300258))), _299766 = _299934, frontsegP(_300098, _300258)], (1293 ^ _253879) ^ [] : [frontsegP(cons(_299766, _300098), cons(_299934, _300258)), 1296 ^ _253879 : [(1299 ^ _253879) ^ [] : [-(frontsegP(_300098, _300258))], (1297 ^ _253879) ^ [] : [-(_299766 = _299934)]]]]]]]]]]], (1205 ^ _253879) ^ [_297509] : [ssItem(_297509), memberP(nil, _297509)], (1631 ^ _253879) ^ [] : [-(duplicatefreeP(nil))], (10 ^ _253879) ^ [_254314, _254316, _254318] : [-(_254318 = _254314), _254318 = _254316, _254316 = _254314], (1213 ^ _253879) ^ [_297750] : [ssList(_297750), 1216 ^ _253879 : [(1217 ^ _253879) ^ [_297902] : [ssList(_297902), 1220 ^ _253879 : [(1221 ^ _253879) ^ [_298050] : [ssList(_298050), -(frontsegP(_297750, _298050)), frontsegP(_297750, _297902), frontsegP(_297902, _298050)]]]]], (1125 ^ _253879) ^ [_295016] : [ssItem(_295016), 1128 ^ _253879 : [(1129 ^ _253879) ^ [_295152] : [ssItem(_295152), 1132 ^ _253879 : [(1139 ^ _253879) ^ [] : [lt(_295152, _295016), -(gt(_295016, _295152))], (1133 ^ _253879) ^ [] : [gt(_295016, _295152), -(lt(_295152, _295016))]]]]], (246 ^ _253879) ^ [_261663, _261665, _261667, _261669] : [-(cons(_261669, _261665) = cons(_261667, _261663)), _261669 = _261667, _261665 = _261663], (1317 ^ _253879) ^ [_301131] : [ssList(_301131), 1320 ^ _253879 : [(1327 ^ _253879) ^ [] : [nil = _301131, -(frontsegP(nil, _301131))], (1321 ^ _253879) ^ [] : [frontsegP(nil, _301131), -(nil = _301131)]]], (1875 ^ _253879) ^ [_318394] : [ssItem(_318394), 1878 ^ _253879 : [(1879 ^ _253879) ^ [_318546] : [ssItem(_318546), 1882 ^ _253879 : [(1883 ^ _253879) ^ [_318694] : [ssItem(_318694), -(lt(_318394, _318694)), leq(_318394, _318546), lt(_318546, _318694)]]]]], (1823 ^ _253879) ^ [_316796] : [ssItem(_316796), 1826 ^ _253879 : [(1827 ^ _253879) ^ [_316938] : [ssItem(_316938), -(_316796 = _316938), geq(_316796, _316938), geq(_316938, _316796)]]], (1373 ^ _253879) ^ [_302780] : [ssList(_302780), -(rearsegP(_302780, _302780))], (302 ^ _253879) ^ [] : [-(ssItem(300 ^ []))], (1693 ^ _253879) ^ [_312502] : [ssList(_312502), -(nil = _312502), -(cons(hd(_312502), tl(_312502)) = _312502)], (1641 ^ _253879) ^ [_310929] : [ssList(_310929), -(nil = _310929), 1649 ^ _253879 : [(1652 ^ _253879) ^ [] : [-(hd(_310929) = 1648 ^ [_310929])], (1650 ^ _253879) ^ [] : [-(ssItem(1648 ^ [_310929]))]]], (1789 ^ _253879) ^ [_315689] : [ssList(_315689), -(app(_315689, nil) = _315689)], (1721 ^ _253879) ^ [_313411] : [ssList(_313411), 1724 ^ _253879 : [(1725 ^ _253879) ^ [_313563] : [ssList(_313563), 1728 ^ _253879 : [(1729 ^ _253879) ^ [_313711] : [ssList(_313711), app(_313563, _313711) = app(_313563, _313411), -(_313711 = _313411)]]]]], (82 ^ _253879) ^ [_256549, _256551] : [-(totalorderP(_256549)), _256551 = _256549, totalorderP(_256551)], (1211 ^ _253879) ^ [] : [singletonP(nil)], (132 ^ _253879) ^ [_258024, _258026] : [-(equalelemsP(_258024)), _258026 = _258024, equalelemsP(_258026)], (1795 ^ _253879) ^ [_315883] : [ssList(_315883), 1798 ^ _253879 : [(1799 ^ _253879) ^ [_316028] : [ssList(_316028), -(nil = _315883), -(hd(app(_315883, _316028)) = hd(_315883))]]], (953 ^ _253879) ^ [_289574] : [ssList(_289574), -(nil = _289574), -(ssItem(hd(_289574)))], (44 ^ _253879) ^ [_255394, _255396, _255398, _255400] : [-(frontsegP(_255398, _255394)), frontsegP(_255400, _255396), _255400 = _255398, _255396 = _255394], (20 ^ _253879) ^ [_254655, _254657, _254659, _254661] : [-(memberP(_254659, _254655)), memberP(_254661, _254657), _254661 = _254659, _254657 = _254655], (34 ^ _253879) ^ [_255071, _255073] : [-(singletonP(_255071)), _255073 = _255071, singletonP(_255073)], (232 ^ _253879) ^ [_261137, _261139, _261141, _261143] : [-(segmentP(_261141, _261137)), segmentP(_261143, _261139), _261143 = _261141, _261139 = _261137], (1493 ^ _253879) ^ [_306598] : [ssList(_306598), 1496 ^ _253879 : [(1503 ^ _253879) ^ [] : [nil = _306598, -(segmentP(nil, _306598))], (1497 ^ _253879) ^ [] : [segmentP(nil, _306598), -(nil = _306598)]]], (983 ^ _253879) ^ [_290476] : [ssList(_290476), 986 ^ _253879 : [(987 ^ _253879) ^ [_290611] : [ssItem(_290611), -(tl(cons(_290611, _290476)) = _290476)]]], (1515 ^ _253879) ^ [] : [-(cyclefreeP(nil))], (262 ^ _253879) ^ [_262240, _262242, _262244, _262246] : [-(app(_262246, _262242) = app(_262244, _262240)), _262246 = _262244, _262242 = _262240], (1063 ^ _253879) ^ [_293112] : [ssItem(_293112), -(leq(_293112, _293112))], (1633 ^ _253879) ^ [_310684] : [ssItem(_310684), -(equalelemsP(cons(_310684, nil)))], (1419 ^ _253879) ^ [_304191] : [ssList(_304191), 1422 ^ _253879 : [(1423 ^ _253879) ^ [_304343] : [ssList(_304343), 1426 ^ _253879 : [(1427 ^ _253879) ^ [_304491] : [ssList(_304491), -(segmentP(_304191, _304491)), segmentP(_304191, _304343), segmentP(_304343, _304491)]]]]], (1487 ^ _253879) ^ [_306410] : [ssList(_306410), -(segmentP(_306410, nil))], (1235 ^ _253879) ^ [_298450] : [ssList(_298450), 1238 ^ _253879 : [(1239 ^ _253879) ^ [_298592] : [ssList(_298592), -(_298450 = _298592), frontsegP(_298450, _298592), frontsegP(_298592, _298450)]]], (194 ^ _253879) ^ [_259974, _259976, _259978, _259980] : [-(gt(_259978, _259974)), gt(_259980, _259976), _259980 = _259978, _259976 = _259974], (272 ^ _253879) ^ [_262551, _262553] : [_262553 = _262551, -(tl(_262553) = tl(_262551))], (1941 ^ _253879) ^ [_320371] : [ssItem(_320371), 1944 ^ _253879 : [(1945 ^ _253879) ^ [_320509] : [ssItem(_320509), gt(_320371, _320509), gt(_320509, _320371)]]], (1003 ^ _253879) ^ [_291159] : [ssList(_291159), 1006 ^ _253879 : [(1007 ^ _253879) ^ [_291311] : [ssList(_291311), 1010 ^ _253879 : [(1011 ^ _253879) ^ [_291459] : [ssItem(_291459), -(cons(_291459, app(_291311, _291159)) = app(cons(_291459, _291311), _291159))]]]]], (754 ^ _253879) ^ [_281909] : [ssList(_281909), 757 ^ _253879 : [(758 ^ _253879) ^ [] : [duplicatefreeP(_281909), 761 ^ _253879 : [(762 ^ _253879) ^ [_282207] : [ssItem(_282207), 765 ^ _253879 : [(766 ^ _253879) ^ [_282393] : [ssItem(_282393), 769 ^ _253879 : [(770 ^ _253879) ^ [_282575] : [ssList(_282575), 773 ^ _253879 : [(774 ^ _253879) ^ [_282753] : [ssList(_282753), 777 ^ _253879 : [(778 ^ _253879) ^ [_282927] : [ssList(_282927), app(app(_282575, cons(_282207, _282753)), cons(_282393, _282927)) = _281909, _282207 = _282393]]]]]]]]]]], (788 ^ _253879) ^ [] : [790 ^ _253879 : [(803 ^ _253879) ^ [] : [-(ssList(801 ^ [_281909]))], (794 ^ _253879) ^ [] : [-(ssItem(792 ^ [_281909]))], (791 ^ _253879) ^ [] : [-(ssItem(789 ^ [_281909]))], (797 ^ _253879) ^ [] : [-(ssList(795 ^ [_281909]))], (805 ^ _253879) ^ [] : [-(app(app(795 ^ [_281909], cons(789 ^ [_281909], 798 ^ [_281909])), cons(792 ^ [_281909], 801 ^ [_281909])) = _281909)], (807 ^ _253879) ^ [] : [-(789 ^ [_281909] = 792 ^ [_281909])], (800 ^ _253879) ^ [] : [-(ssList(798 ^ [_281909]))]], -(duplicatefreeP(_281909))]]], (1915 ^ _253879) ^ [_319616] : [ssItem(_319616), 1918 ^ _253879 : [(1919 ^ _253879) ^ [_319760] : [ssItem(_319760), 1922 ^ _253879 : [(1931 ^ _253879) ^ [] : [-(lt(_319616, _319760)), -(_319616 = _319760), leq(_319616, _319760)], (1923 ^ _253879) ^ [] : [lt(_319616, _319760), 1926 ^ _253879 : [(1929 ^ _253879) ^ [] : [-(leq(_319616, _319760))], (1927 ^ _253879) ^ [] : [_319616 = _319760]]]]]]], (993 ^ _253879) ^ [_290822] : [ssList(_290822), 996 ^ _253879 : [(997 ^ _253879) ^ [_290954] : [ssList(_290954), -(ssList(app(_290822, _290954)))]]], (1749 ^ _253879) ^ [_314388] : [ssList(_314388), 1752 ^ _253879 : [(1753 ^ _253879) ^ [_314540] : [ssList(_314540), 1756 ^ _253879 : [(1757 ^ _253879) ^ [_314688] : [ssList(_314688), -(app(app(_314388, _314540), _314688) = app(_314388, app(_314540, _314688)))]]]]], (1103 ^ _253879) ^ [_294316] : [ssItem(_294316), 1106 ^ _253879 : [(1107 ^ _253879) ^ [_294468] : [ssItem(_294468), 1110 ^ _253879 : [(1111 ^ _253879) ^ [_294616] : [ssItem(_294616), -(lt(_294316, _294616)), lt(_294316, _294468), lt(_294468, _294616)]]]]], (156 ^ _253879) ^ [_258791, _258793, _258795, _258797] : [-(lt(_258795, _258791)), lt(_258797, _258793), _258797 = _258795, _258793 = _258791], (1579 ^ _253879) ^ [_309100] : [ssItem(_309100), -(strictorderedP(cons(_309100, nil)))], (92 ^ _253879) ^ [_256844, _256846] : [-(strictorderP(_256844)), _256846 = _256844, strictorderP(_256846)], (1625 ^ _253879) ^ [_310439] : [ssItem(_310439), -(duplicatefreeP(cons(_310439, nil)))], (1333 ^ _253879) ^ [_301559] : [ssList(_301559), 1336 ^ _253879 : [(1337 ^ _253879) ^ [_301711] : [ssList(_301711), 1340 ^ _253879 : [(1341 ^ _253879) ^ [_301859] : [ssList(_301859), -(rearsegP(_301559, _301859)), rearsegP(_301559, _301711), rearsegP(_301711, _301859)]]]]], (1253 ^ _253879) ^ [_298971] : [ssList(_298971), -(frontsegP(_298971, _298971))], (1259 ^ _253879) ^ [_299159] : [ssList(_299159), 1262 ^ _253879 : [(1263 ^ _253879) ^ [_299308] : [ssList(_299308), 1266 ^ _253879 : [(1267 ^ _253879) ^ [_299453] : [ssList(_299453), frontsegP(_299159, _299308), -(frontsegP(app(_299159, _299453), _299308))]]]]], (72 ^ _253879) ^ [_256254, _256256] : [-(cyclefreeP(_256254)), _256256 = _256254, cyclefreeP(_256256)], (1069 ^ _253879) ^ [_293300] : [ssItem(_293300), 1072 ^ _253879 : [(1073 ^ _253879) ^ [_293436] : [ssItem(_293436), 1076 ^ _253879 : [(1083 ^ _253879) ^ [] : [leq(_293436, _293300), -(geq(_293300, _293436))], (1077 ^ _253879) ^ [] : [geq(_293300, _293436), -(leq(_293436, _293300))]]]]], (881 ^ _253879) ^ [_287027] : [ssList(_287027), 884 ^ _253879 : [(885 ^ _253879) ^ [_287159] : [ssItem(_287159), -(ssList(cons(_287159, _287027)))]]], (278 ^ _253879) ^ [_262773] : [ssItem(_262773), 281 ^ _253879 : [(282 ^ _253879) ^ [_262911] : [ssItem(_262911), 285 ^ _253879 : [(292 ^ _253879) ^ [] : [-(_262773 = _262911), -(neq(_262773, _262911))], (286 ^ _253879) ^ [] : [neq(_262773, _262911), _262773 = _262911]]]]], (112 ^ _253879) ^ [_257434, _257436] : [-(strictorderedP(_257434)), _257436 = _257434, strictorderedP(_257436)], (1403 ^ _253879) ^ [_303763] : [ssList(_303763), 1406 ^ _253879 : [(1413 ^ _253879) ^ [] : [nil = _303763, -(rearsegP(nil, _303763))], (1407 ^ _253879) ^ [] : [rearsegP(nil, _303763), -(nil = _303763)]]], (1869 ^ _253879) ^ [_318205] : [ssItem(_318205), lt(_318205, _318205)], (1897 ^ _253879) ^ [_319094] : [ssItem(_319094), 1900 ^ _253879 : [(1901 ^ _253879) ^ [_319236] : [ssItem(_319236), leq(_319094, _319236), -(_319094 = _319236), -(lt(_319094, _319236))]]], (577 ^ _253879) ^ [_274169] : [ssList(_274169), 580 ^ _253879 : [(581 ^ _253879) ^ [] : [strictorderP(_274169), 584 ^ _253879 : [(585 ^ _253879) ^ [_274471] : [ssItem(_274471), 588 ^ _253879 : [(589 ^ _253879) ^ [_274661] : [ssItem(_274661), 592 ^ _253879 : [(593 ^ _253879) ^ [_274847] : [ssList(_274847), 596 ^ _253879 : [(597 ^ _253879) ^ [_275029] : [ssList(_275029), 600 ^ _253879 : [(601 ^ _253879) ^ [_275207] : [ssList(_275207), app(app(_274847, cons(_274471, _275029)), cons(_274661, _275207)) = _274169, -(lt(_274471, _274661)), -(lt(_274661, _274471))]]]]]]]]]]], (615 ^ _253879) ^ [] : [617 ^ _253879 : [(627 ^ _253879) ^ [] : [-(ssList(625 ^ [_274169]))], (632 ^ _253879) ^ [] : [-(app(app(622 ^ [_274169], cons(616 ^ [_274169], 625 ^ [_274169])), cons(619 ^ [_274169], 628 ^ [_274169])) = _274169)], (630 ^ _253879) ^ [] : [-(ssList(628 ^ [_274169]))], (634 ^ _253879) ^ [] : [lt(616 ^ [_274169], 619 ^ [_274169])], (621 ^ _253879) ^ [] : [-(ssItem(619 ^ [_274169]))], (618 ^ _253879) ^ [] : [-(ssItem(616 ^ [_274169]))], (624 ^ _253879) ^ [] : [-(ssList(622 ^ [_274169]))], (636 ^ _253879) ^ [] : [lt(619 ^ [_274169], 616 ^ [_274169])]], -(strictorderP(_274169))]]], (1667 ^ _253879) ^ [_311757] : [ssList(_311757), 1670 ^ _253879 : [(1671 ^ _253879) ^ [_311923] : [ssList(_311923), -(_311923 = _311757), -(nil = _311923), -(nil = _311757), hd(_311923) = hd(_311757), tl(_311923) = tl(_311757)]]], (1703 ^ _253879) ^ [_312792] : [ssList(_312792), 1706 ^ _253879 : [(1707 ^ _253879) ^ [_312944] : [ssList(_312944), 1710 ^ _253879 : [(1711 ^ _253879) ^ [_313092] : [ssList(_313092), app(_313092, _312944) = app(_312792, _312944), -(_313092 = _312792)]]]]], (390 ^ _253879) ^ [_266474] : [ssList(_266474), 393 ^ _253879 : [(394 ^ _253879) ^ [_266623] : [ssList(_266623), 397 ^ _253879 : [(407 ^ _253879) ^ [] : [-(rearsegP(_266474, _266623)), 408 ^ _253879 : [(409 ^ _253879) ^ [_267098] : [ssList(_267098), app(_267098, _266623) = _266474]]], (398 ^ _253879) ^ [] : [rearsegP(_266474, _266623), 402 ^ _253879 : [(405 ^ _253879) ^ [] : [-(app(401 ^ [_266474, _266623], _266623) = _266474)], (403 ^ _253879) ^ [] : [-(ssList(401 ^ [_266474, _266623]))]]]]]]], (973 ^ _253879) ^ [_290198] : [ssList(_290198), -(nil = _290198), -(ssList(tl(_290198)))], (1533 ^ _253879) ^ [_307761] : [ssItem(_307761), -(totalorderedP(cons(_307761, nil)))], (1763 ^ _253879) ^ [_314926] : [ssList(_314926), 1766 ^ _253879 : [(1767 ^ _253879) ^ [_315071] : [ssList(_315071), 1770 ^ _253879 : [(1779 ^ _253879) ^ [] : [-(nil = app(_314926, _315071)), nil = _315071, nil = _314926], (1771 ^ _253879) ^ [] : [nil = app(_314926, _315071), 1774 ^ _253879 : [(1777 ^ _253879) ^ [] : [-(nil = _314926)], (1775 ^ _253879) ^ [] : [-(nil = _315071)]]]]]]], (102 ^ _253879) ^ [_257139, _257141] : [-(totalorderedP(_257139)), _257141 = _257139, totalorderedP(_257141)], (363 ^ _253879) ^ [_265578] : [ssList(_265578), 366 ^ _253879 : [(367 ^ _253879) ^ [_265727] : [ssList(_265727), 370 ^ _253879 : [(380 ^ _253879) ^ [] : [-(frontsegP(_265578, _265727)), 381 ^ _253879 : [(382 ^ _253879) ^ [_266202] : [ssList(_266202), app(_265727, _266202) = _265578]]], (371 ^ _253879) ^ [] : [frontsegP(_265578, _265727), 375 ^ _253879 : [(378 ^ _253879) ^ [] : [-(app(_265727, 374 ^ [_265578, _265727]) = _265578)], (376 ^ _253879) ^ [] : [-(ssList(374 ^ [_265578, _265727]))]]]]]]], (1654 ^ _253879) ^ [_311343] : [ssList(_311343), -(nil = _311343), 1662 ^ _253879 : [(1665 ^ _253879) ^ [] : [-(tl(_311343) = 1661 ^ [_311343])], (1663 ^ _253879) ^ [] : [-(ssList(1661 ^ [_311343]))]]], (1809 ^ _253879) ^ [_316335] : [ssList(_316335), 1812 ^ _253879 : [(1813 ^ _253879) ^ [_316483] : [ssList(_316483), -(nil = _316335), -(tl(app(_316335, _316483)) = app(tl(_316335), _316483))]]], (1523 ^ _253879) ^ [] : [-(totalorderP(nil))], (1397 ^ _253879) ^ [_303575] : [ssList(_303575), -(rearsegP(_303575, nil))], (1639 ^ _253879) ^ [] : [-(equalelemsP(nil))], (1379 ^ _253879) ^ [_302968] : [ssList(_302968), 1382 ^ _253879 : [(1383 ^ _253879) ^ [_303117] : [ssList(_303117), 1386 ^ _253879 : [(1387 ^ _253879) ^ [_303262] : [ssList(_303262), rearsegP(_302968, _303117), -(rearsegP(app(_303262, _302968), _303117))]]]]], (122 ^ _253879) ^ [_257729, _257731] : [-(duplicatefreeP(_257729)), _257731 = _257729, duplicatefreeP(_257731)], (142 ^ _253879) ^ [_258347, _258349, _258351, _258353] : [-(geq(_258351, _258347)), geq(_258353, _258349), _258353 = _258351, _258349 = _258347], (1585 ^ _253879) ^ [] : [-(strictorderedP(nil))], (903 ^ _253879) ^ [_287760] : [ssList(_287760), 906 ^ _253879 : [(907 ^ _253879) ^ [_287928] : [ssList(_287928), 910 ^ _253879 : [(911 ^ _253879) ^ [_288092] : [ssItem(_288092), 914 ^ _253879 : [(915 ^ _253879) ^ [_288252] : [ssItem(_288252), cons(_288092, _287760) = cons(_288252, _287928), 922 ^ _253879 : [(925 ^ _253879) ^ [] : [-(_287928 = _287760)], (923 ^ _253879) ^ [] : [-(_288092 = _288252)]]]]]]]]], (58 ^ _253879) ^ [_255838, _255840, _255842, _255844] : [-(rearsegP(_255842, _255838)), rearsegP(_255844, _255840), _255844 = _255842, _255840 = _255838], (1539 ^ _253879) ^ [] : [-(totalorderedP(nil))], (1509 ^ _253879) ^ [_307026] : [ssItem(_307026), -(cyclefreeP(cons(_307026, nil)))], (943 ^ _253879) ^ [_289231] : [ssList(_289231), 946 ^ _253879 : [(947 ^ _253879) ^ [_289366] : [ssItem(_289366), nil = cons(_289366, _289231)]]]], input).
% 201.63/194.85 ncf('1',plain,[-(1979 ^ [] = 1985 ^ [])],start(1989 ^ 0)).
% 201.63/194.85 ncf('1.1',plain,[1979 ^ [] = 1985 ^ [], -(neq(1985 ^ [], 1985 ^ [])), neq(1979 ^ [], nil), nil = 1985 ^ []],extension(218 ^ 1,bind([[_260713, _260715, _260717, _260719], [1985 ^ [], nil, 1985 ^ [], 1979 ^ []]]))).
% 201.63/194.85 ncf('1.1.1',plain,[neq(1985 ^ [], 1985 ^ []), 869 : 1985 ^ [] = 1985 ^ [], 869 : ssList(1985 ^ []), 865 : ssList(1985 ^ [])],extension(861 ^ 2,bind([[_286436, _286574], [1985 ^ [], 1985 ^ []]]))).
% 201.63/194.85 ncf('1.1.1.1',plain,[-(1985 ^ [] = 1985 ^ [])],extension(2 ^ 7,bind([[_254003], [1985 ^ []]]))).
% 201.63/194.85 ncf('1.1.1.2',plain,[-(ssList(1985 ^ []))],extension(1987 ^ 5)).
% 201.63/194.85 ncf('1.1.1.3',plain,[-(ssList(1985 ^ []))],extension(1987 ^ 3)).
% 201.63/194.85 ncf('1.1.2',plain,[-(neq(1979 ^ [], nil))],extension(1993 ^ 2)).
% 201.63/194.85 ncf('1.1.3',plain,[-(nil = 1985 ^ []), 2003 : -(neq(1982 ^ [], nil))],extension(1997 ^ 2)).
% 201.63/194.85 ncf('1.1.3.1',plain,[neq(1982 ^ [], nil), -(neq(1976 ^ [], nil)), 1982 ^ [] = 1976 ^ [], nil = nil],extension(218 ^ 5,bind([[_260713, _260715, _260717, _260719], [nil, nil, 1976 ^ [], 1982 ^ []]]))).
% 201.63/194.85 ncf('1.1.3.1.1',plain,[neq(1976 ^ [], nil)],extension(1995 ^ 6)).
% 201.63/194.85 ncf('1.1.3.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 6,bind([[_254110, _254112], [1982 ^ [], 1976 ^ []]]))).
% 201.63/194.85 ncf('1.1.3.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 7)).
% 201.63/194.85 ncf('1.1.3.1.3',plain,[-(nil = nil)],extension(2 ^ 6,bind([[_254003], [nil]]))).
% 201.63/194.85 %-----------------------------------------------------
% 201.63/194.85 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------