TSTP Solution File: SWC276+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:13:04 EDT 2023

% Result   : Theorem 222.22s 214.46s
% Output   : Proof 222.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 01:00:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 222.22/214.46  
% 222.22/214.46  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 222.22/214.46  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 222.22/214.46  %-----------------------------------------------------
% 222.22/214.46  ncf(matrix, plain, [(1995 ^ _330818) ^ [] : [1997 ^ _330818 : [(2000 ^ _330818) ^ [] : [-(cons(1996 ^ [], nil) = 1982 ^ [])], (2002 ^ _330818) ^ [] : [-(memberP(1985 ^ [], 1996 ^ []))], (1998 ^ _330818) ^ [] : [-(ssItem(1996 ^ []))]], 2003 ^ _330818 : [(2006 ^ _330818) ^ [] : [-(nil = 1982 ^ [])], (2004 ^ _330818) ^ [] : [-(nil = 1985 ^ [])]]], (1989 ^ _330818) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _330818) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _330818) ^ [] : [totalorderedP(1976 ^ [])], (1984 ^ _330818) ^ [] : [-(ssList(1982 ^ []))], (1981 ^ _330818) ^ [] : [-(ssList(1979 ^ []))], (1978 ^ _330818) ^ [] : [-(ssList(1976 ^ []))], (1987 ^ _330818) ^ [] : [-(ssList(1985 ^ []))], !, (116 ^ _262489) ^ [_266193, _266195] : [-(strictorderedP(_266193)), _266195 = _266193, strictorderedP(_266195)], (1809 ^ _262489) ^ [_324945] : [ssList(_324945), 1812 ^ _262489 : [(1813 ^ _262489) ^ [_325093] : [ssList(_325093), -(nil = _324945), -(tl(app(_324945, _325093)) = app(tl(_324945), _325093))]]], (577 ^ _262489) ^ [_282779] : [ssList(_282779), 580 ^ _262489 : [(581 ^ _262489) ^ [] : [strictorderP(_282779), 584 ^ _262489 : [(585 ^ _262489) ^ [_283081] : [ssItem(_283081), 588 ^ _262489 : [(589 ^ _262489) ^ [_283271] : [ssItem(_283271), 592 ^ _262489 : [(593 ^ _262489) ^ [_283457] : [ssList(_283457), 596 ^ _262489 : [(597 ^ _262489) ^ [_283639] : [ssList(_283639), 600 ^ _262489 : [(601 ^ _262489) ^ [_283817] : [ssList(_283817), app(app(_283457, cons(_283081, _283639)), cons(_283271, _283817)) = _282779, -(lt(_283081, _283271)), -(lt(_283271, _283081))]]]]]]]]]]], (615 ^ _262489) ^ [] : [617 ^ _262489 : [(636 ^ _262489) ^ [] : [lt(619 ^ [_282779], 616 ^ [_282779])], (630 ^ _262489) ^ [] : [-(ssList(628 ^ [_282779]))], (632 ^ _262489) ^ [] : [-(app(app(622 ^ [_282779], cons(616 ^ [_282779], 625 ^ [_282779])), cons(619 ^ [_282779], 628 ^ [_282779])) = _282779)], (634 ^ _262489) ^ [] : [lt(616 ^ [_282779], 619 ^ [_282779])], (624 ^ _262489) ^ [] : [-(ssList(622 ^ [_282779]))], (621 ^ _262489) ^ [] : [-(ssItem(619 ^ [_282779]))], (618 ^ _262489) ^ [] : [-(ssItem(616 ^ [_282779]))], (627 ^ _262489) ^ [] : [-(ssList(625 ^ [_282779]))]], -(strictorderP(_282779))]]], (246 ^ _262489) ^ [_270245, _270247] : [_270247 = _270245, -(hd(_270247) = hd(_270245))], (1103 ^ _262489) ^ [_302926] : [ssItem(_302926), 1106 ^ _262489 : [(1107 ^ _262489) ^ [_303078] : [ssItem(_303078), 1110 ^ _262489 : [(1111 ^ _262489) ^ [_303226] : [ssItem(_303226), -(lt(_302926, _303226)), lt(_302926, _303078), lt(_303078, _303226)]]]]], (417 ^ _262489) ^ [_275980] : [ssList(_275980), 420 ^ _262489 : [(421 ^ _262489) ^ [_276142] : [ssList(_276142), 424 ^ _262489 : [(437 ^ _262489) ^ [] : [-(segmentP(_275980, _276142)), 438 ^ _262489 : [(439 ^ _262489) ^ [_276790] : [ssList(_276790), 442 ^ _262489 : [(443 ^ _262489) ^ [_276938] : [ssList(_276938), app(app(_276790, _276142), _276938) = _275980]]]]], (425 ^ _262489) ^ [] : [segmentP(_275980, _276142), 429 ^ _262489 : [(433 ^ _262489) ^ [] : [-(ssList(431 ^ [_275980, _276142]))], (435 ^ _262489) ^ [] : [-(app(app(428 ^ [_275980, _276142], _276142), 431 ^ [_275980, _276142]) = _275980)], (430 ^ _262489) ^ [] : [-(ssList(428 ^ [_275980, _276142]))]]]]]]], (1333 ^ _262489) ^ [_310169] : [ssList(_310169), 1336 ^ _262489 : [(1337 ^ _262489) ^ [_310321] : [ssList(_310321), 1340 ^ _262489 : [(1341 ^ _262489) ^ [_310469] : [ssList(_310469), -(rearsegP(_310169, _310469)), rearsegP(_310169, _310321), rearsegP(_310321, _310469)]]]]], (363 ^ _262489) ^ [_274188] : [ssList(_274188), 366 ^ _262489 : [(367 ^ _262489) ^ [_274337] : [ssList(_274337), 370 ^ _262489 : [(380 ^ _262489) ^ [] : [-(frontsegP(_274188, _274337)), 381 ^ _262489 : [(382 ^ _262489) ^ [_274812] : [ssList(_274812), app(_274337, _274812) = _274188]]], (371 ^ _262489) ^ [] : [frontsegP(_274188, _274337), 375 ^ _262489 : [(378 ^ _262489) ^ [] : [-(app(_274337, 374 ^ [_274188, _274337]) = _274188)], (376 ^ _262489) ^ [] : [-(ssList(374 ^ [_274188, _274337]))]]]]]]], (304 ^ _262489) ^ [] : [297 ^ [] = 300 ^ []], (20 ^ _262489) ^ [_263265, _263267, _263269, _263271] : [-(neq(_263269, _263265)), neq(_263271, _263267), _263271 = _263269, _263267 = _263265], (126 ^ _262489) ^ [_266488, _266490] : [-(duplicatefreeP(_266488)), _266490 = _266488, duplicatefreeP(_266490)], (232 ^ _262489) ^ [_269747, _269749, _269751, _269753] : [-(memberP(_269751, _269747)), memberP(_269753, _269749), _269753 = _269751, _269749 = _269747], (106 ^ _262489) ^ [_265898, _265900] : [-(strictorderP(_265898)), _265900 = _265898, strictorderP(_265900)], (1089 ^ _262489) ^ [_302497] : [ssItem(_302497), 1092 ^ _262489 : [(1093 ^ _262489) ^ [_302635] : [ssItem(_302635), lt(_302497, _302635), lt(_302635, _302497)]]], (299 ^ _262489) ^ [] : [-(ssItem(297 ^ []))], (640 ^ _262489) ^ [_285543] : [ssList(_285543), 643 ^ _262489 : [(644 ^ _262489) ^ [] : [totalorderedP(_285543), 647 ^ _262489 : [(648 ^ _262489) ^ [_285839] : [ssItem(_285839), 651 ^ _262489 : [(652 ^ _262489) ^ [_286023] : [ssItem(_286023), 655 ^ _262489 : [(656 ^ _262489) ^ [_286203] : [ssList(_286203), 659 ^ _262489 : [(660 ^ _262489) ^ [_286379] : [ssList(_286379), 663 ^ _262489 : [(664 ^ _262489) ^ [_286551] : [ssList(_286551), app(app(_286203, cons(_285839, _286379)), cons(_286023, _286551)) = _285543, -(leq(_285839, _286023))]]]]]]]]]]], (674 ^ _262489) ^ [] : [676 ^ _262489 : [(689 ^ _262489) ^ [] : [-(ssList(687 ^ [_285543]))], (683 ^ _262489) ^ [] : [-(ssList(681 ^ [_285543]))], (686 ^ _262489) ^ [] : [-(ssList(684 ^ [_285543]))], (677 ^ _262489) ^ [] : [-(ssItem(675 ^ [_285543]))], (693 ^ _262489) ^ [] : [leq(675 ^ [_285543], 678 ^ [_285543])], (691 ^ _262489) ^ [] : [-(app(app(681 ^ [_285543], cons(675 ^ [_285543], 684 ^ [_285543])), cons(678 ^ [_285543], 687 ^ [_285543])) = _285543)], (680 ^ _262489) ^ [] : [-(ssItem(678 ^ [_285543]))]], -(totalorderedP(_285543))]]], (1531 ^ _262489) ^ [] : [-(strictorderP(nil))], (174 ^ _262489) ^ [_267994, _267996, _267998, _268000] : [-(leq(_267998, _267994)), leq(_268000, _267996), _268000 = _267998, _267996 = _267994], (72 ^ _262489) ^ [_264892, _264894, _264896, _264898] : [-(segmentP(_264896, _264892)), segmentP(_264898, _264894), _264898 = _264896, _264894 = _264892], (1441 ^ _262489) ^ [_313501] : [ssList(_313501), 1444 ^ _262489 : [(1445 ^ _262489) ^ [_313643] : [ssList(_313643), -(_313501 = _313643), segmentP(_313501, _313643), segmentP(_313643, _313501)]]], (1419 ^ _262489) ^ [_312801] : [ssList(_312801), 1422 ^ _262489 : [(1423 ^ _262489) ^ [_312953] : [ssList(_312953), 1426 ^ _262489 : [(1427 ^ _262489) ^ [_313101] : [ssList(_313101), -(segmentP(_312801, _313101)), segmentP(_312801, _312953), segmentP(_312953, _313101)]]]]], (278 ^ _262489) ^ [_271383] : [ssItem(_271383), 281 ^ _262489 : [(282 ^ _262489) ^ [_271521] : [ssItem(_271521), 285 ^ _262489 : [(292 ^ _262489) ^ [] : [-(_271383 = _271521), -(neq(_271383, _271521))], (286 ^ _262489) ^ [] : [neq(_271383, _271521), _271383 = _271521]]]]], (1125 ^ _262489) ^ [_303626] : [ssItem(_303626), 1128 ^ _262489 : [(1129 ^ _262489) ^ [_303762] : [ssItem(_303762), 1132 ^ _262489 : [(1139 ^ _262489) ^ [] : [lt(_303762, _303626), -(gt(_303626, _303762))], (1133 ^ _262489) ^ [] : [gt(_303626, _303762), -(lt(_303762, _303626))]]]]], (302 ^ _262489) ^ [] : [-(ssItem(300 ^ []))], (1355 ^ _262489) ^ [_310869] : [ssList(_310869), 1358 ^ _262489 : [(1359 ^ _262489) ^ [_311011] : [ssList(_311011), -(_310869 = _311011), rearsegP(_310869, _311011), rearsegP(_311011, _310869)]]], (1277 ^ _262489) ^ [_308376] : [ssItem(_308376), 1280 ^ _262489 : [(1281 ^ _262489) ^ [_308544] : [ssItem(_308544), 1284 ^ _262489 : [(1285 ^ _262489) ^ [_308708] : [ssList(_308708), 1288 ^ _262489 : [(1289 ^ _262489) ^ [_308868] : [ssList(_308868), 1292 ^ _262489 : [(1301 ^ _262489) ^ [] : [-(frontsegP(cons(_308376, _308708), cons(_308544, _308868))), _308376 = _308544, frontsegP(_308708, _308868)], (1293 ^ _262489) ^ [] : [frontsegP(cons(_308376, _308708), cons(_308544, _308868)), 1296 ^ _262489 : [(1299 ^ _262489) ^ [] : [-(frontsegP(_308708, _308868))], (1297 ^ _262489) ^ [] : [-(_308376 = _308544)]]]]]]]]]]], (1587 ^ _262489) ^ [_317955] : [ssItem(_317955), 1590 ^ _262489 : [(1591 ^ _262489) ^ [_318114] : [ssList(_318114), 1594 ^ _262489 : [(1609 ^ _262489) ^ [] : [-(strictorderedP(cons(_317955, _318114))), 1610 ^ _262489 : [(1613 ^ _262489) ^ [] : [-(nil = _318114), strictorderedP(_318114), lt(_317955, hd(_318114))], (1611 ^ _262489) ^ [] : [nil = _318114]]], (1595 ^ _262489) ^ [] : [strictorderedP(cons(_317955, _318114)), -(nil = _318114), 1602 ^ _262489 : [(1605 ^ _262489) ^ [] : [-(strictorderedP(_318114))], (1607 ^ _262489) ^ [] : [-(lt(_317955, hd(_318114)))], (1603 ^ _262489) ^ [] : [nil = _318114]]]]]]], (1585 ^ _262489) ^ [] : [-(strictorderedP(nil))], (927 ^ _262489) ^ [_297277] : [ssList(_297277), -(nil = _297277), 935 ^ _262489 : [(939 ^ _262489) ^ [] : [-(ssItem(937 ^ [_297277]))], (941 ^ _262489) ^ [] : [-(cons(937 ^ [_297277], 934 ^ [_297277]) = _297277)], (936 ^ _262489) ^ [] : [-(ssList(934 ^ [_297277]))]]], (1459 ^ _262489) ^ [_314022] : [ssList(_314022), -(segmentP(_314022, _314022))], (1041 ^ _262489) ^ [_301022] : [ssItem(_301022), 1044 ^ _262489 : [(1045 ^ _262489) ^ [_301174] : [ssItem(_301174), 1048 ^ _262489 : [(1049 ^ _262489) ^ [_301322] : [ssItem(_301322), -(leq(_301022, _301322)), leq(_301022, _301174), leq(_301174, _301322)]]]]], (1693 ^ _262489) ^ [_321112] : [ssList(_321112), -(nil = _321112), -(cons(hd(_321112), tl(_321112)) = _321112)], (1235 ^ _262489) ^ [_307060] : [ssList(_307060), 1238 ^ _262489 : [(1239 ^ _262489) ^ [_307202] : [ssList(_307202), -(_307060 = _307202), frontsegP(_307060, _307202), frontsegP(_307202, _307060)]]], (1515 ^ _262489) ^ [] : [-(cyclefreeP(nil))], (1069 ^ _262489) ^ [_301910] : [ssItem(_301910), 1072 ^ _262489 : [(1073 ^ _262489) ^ [_302046] : [ssItem(_302046), 1076 ^ _262489 : [(1083 ^ _262489) ^ [] : [leq(_302046, _301910), -(geq(_301910, _302046))], (1077 ^ _262489) ^ [] : [geq(_301910, _302046), -(leq(_302046, _301910))]]]]], (1145 ^ _262489) ^ [_304213] : [ssItem(_304213), 1148 ^ _262489 : [(1149 ^ _262489) ^ [_304368] : [ssList(_304368), 1152 ^ _262489 : [(1153 ^ _262489) ^ [_304519] : [ssList(_304519), 1156 ^ _262489 : [(1157 ^ _262489) ^ [] : [memberP(app(_304368, _304519), _304213), -(memberP(_304368, _304213)), -(memberP(_304519, _304213))], (1167 ^ _262489) ^ [] : [1168 ^ _262489 : [(1171 ^ _262489) ^ [] : [memberP(_304519, _304213)], (1169 ^ _262489) ^ [] : [memberP(_304368, _304213)]], -(memberP(app(_304368, _304519), _304213))]]]]]]], (903 ^ _262489) ^ [_296370] : [ssList(_296370), 906 ^ _262489 : [(907 ^ _262489) ^ [_296538] : [ssList(_296538), 910 ^ _262489 : [(911 ^ _262489) ^ [_296702] : [ssItem(_296702), 914 ^ _262489 : [(915 ^ _262489) ^ [_296862] : [ssItem(_296862), cons(_296702, _296370) = cons(_296862, _296538), 922 ^ _262489 : [(925 ^ _262489) ^ [] : [-(_296538 = _296370)], (923 ^ _262489) ^ [] : [-(_296702 = _296862)]]]]]]]]], (34 ^ _262489) ^ [_263681, _263683] : [-(singletonP(_263681)), _263683 = _263681, singletonP(_263683)], (1373 ^ _262489) ^ [_311390] : [ssList(_311390), -(rearsegP(_311390, _311390))], (1523 ^ _262489) ^ [] : [-(totalorderP(nil))], (212 ^ _262489) ^ [_269149, _269151] : [-(totalorderedP(_269149)), _269151 = _269149, totalorderedP(_269151)], (188 ^ _262489) ^ [_268438, _268440, _268442, _268444] : [-(gt(_268442, _268438)), gt(_268444, _268440), _268444 = _268442, _268440 = _268438], (160 ^ _262489) ^ [_267550, _267552, _267554, _267556] : [-(lt(_267554, _267550)), lt(_267556, _267552), _267556 = _267554, _267552 = _267550], (1379 ^ _262489) ^ [_311578] : [ssList(_311578), 1382 ^ _262489 : [(1383 ^ _262489) ^ [_311727] : [ssList(_311727), 1386 ^ _262489 : [(1387 ^ _262489) ^ [_311872] : [ssList(_311872), rearsegP(_311578, _311727), -(rearsegP(app(_311872, _311578), _311727))]]]]], (222 ^ _262489) ^ [_269444, _269446] : [-(ssItem(_269444)), _269446 = _269444, ssItem(_269446)], (1525 ^ _262489) ^ [_316126] : [ssItem(_316126), -(strictorderP(cons(_316126, nil)))], (1517 ^ _262489) ^ [_315881] : [ssItem(_315881), -(totalorderP(cons(_315881, nil)))], (1213 ^ _262489) ^ [_306360] : [ssList(_306360), 1216 ^ _262489 : [(1217 ^ _262489) ^ [_306512] : [ssList(_306512), 1220 ^ _262489 : [(1221 ^ _262489) ^ [_306660] : [ssList(_306660), -(frontsegP(_306360, _306660)), frontsegP(_306360, _306512), frontsegP(_306512, _306660)]]]]], (44 ^ _262489) ^ [_264004, _264006, _264008, _264010] : [-(frontsegP(_264008, _264004)), frontsegP(_264010, _264006), _264010 = _264008, _264006 = _264004], (891 ^ _262489) ^ [] : [-(ssList(nil))], (811 ^ _262489) ^ [_293029] : [ssList(_293029), 814 ^ _262489 : [(815 ^ _262489) ^ [] : [equalelemsP(_293029), 818 ^ _262489 : [(819 ^ _262489) ^ [_293312] : [ssItem(_293312), 822 ^ _262489 : [(823 ^ _262489) ^ [_293483] : [ssItem(_293483), 826 ^ _262489 : [(827 ^ _262489) ^ [_293650] : [ssList(_293650), 830 ^ _262489 : [(831 ^ _262489) ^ [_293813] : [ssList(_293813), app(_293650, cons(_293312, cons(_293483, _293813))) = _293029, -(_293312 = _293483)]]]]]]]]], (841 ^ _262489) ^ [] : [843 ^ _262489 : [(855 ^ _262489) ^ [] : [-(app(848 ^ [_293029], cons(842 ^ [_293029], cons(845 ^ [_293029], 851 ^ [_293029]))) = _293029)], (850 ^ _262489) ^ [] : [-(ssList(848 ^ [_293029]))], (853 ^ _262489) ^ [] : [-(ssList(851 ^ [_293029]))], (857 ^ _262489) ^ [] : [842 ^ [_293029] = 845 ^ [_293029]], (844 ^ _262489) ^ [] : [-(ssItem(842 ^ [_293029]))], (847 ^ _262489) ^ [] : [-(ssItem(845 ^ [_293029]))]], -(equalelemsP(_293029))]]], (136 ^ _262489) ^ [_266783, _266785] : [-(equalelemsP(_266783)), _266785 = _266783, equalelemsP(_266785)], (1211 ^ _262489) ^ [] : [singletonP(nil)], (10 ^ _262489) ^ [_262924, _262926, _262928] : [-(_262928 = _262924), _262928 = _262926, _262926 = _262924], (390 ^ _262489) ^ [_275084] : [ssList(_275084), 393 ^ _262489 : [(394 ^ _262489) ^ [_275233] : [ssList(_275233), 397 ^ _262489 : [(407 ^ _262489) ^ [] : [-(rearsegP(_275084, _275233)), 408 ^ _262489 : [(409 ^ _262489) ^ [_275708] : [ssList(_275708), app(_275708, _275233) = _275084]]], (398 ^ _262489) ^ [] : [rearsegP(_275084, _275233), 402 ^ _262489 : [(405 ^ _262489) ^ [] : [-(app(401 ^ [_275084, _275233], _275233) = _275084)], (403 ^ _262489) ^ [] : [-(ssList(401 ^ [_275084, _275233]))]]]]]]], (1259 ^ _262489) ^ [_307769] : [ssList(_307769), 1262 ^ _262489 : [(1263 ^ _262489) ^ [_307918] : [ssList(_307918), 1266 ^ _262489 : [(1267 ^ _262489) ^ [_308063] : [ssList(_308063), frontsegP(_307769, _307918), -(frontsegP(app(_307769, _308063), _307918))]]]]], (1841 ^ _262489) ^ [_325927] : [ssItem(_325927), 1844 ^ _262489 : [(1845 ^ _262489) ^ [_326079] : [ssItem(_326079), 1848 ^ _262489 : [(1849 ^ _262489) ^ [_326227] : [ssItem(_326227), -(geq(_325927, _326227)), geq(_325927, _326079), geq(_326079, _326227)]]]]], (1253 ^ _262489) ^ [_307581] : [ssList(_307581), -(frontsegP(_307581, _307581))], (1397 ^ _262489) ^ [_312185] : [ssList(_312185), -(rearsegP(_312185, nil))], (1487 ^ _262489) ^ [_315020] : [ssList(_315020), -(segmentP(_315020, nil))], (1541 ^ _262489) ^ [_316616] : [ssItem(_316616), 1544 ^ _262489 : [(1545 ^ _262489) ^ [_316775] : [ssList(_316775), 1548 ^ _262489 : [(1563 ^ _262489) ^ [] : [-(totalorderedP(cons(_316616, _316775))), 1564 ^ _262489 : [(1567 ^ _262489) ^ [] : [-(nil = _316775), totalorderedP(_316775), leq(_316616, hd(_316775))], (1565 ^ _262489) ^ [] : [nil = _316775]]], (1549 ^ _262489) ^ [] : [totalorderedP(cons(_316616, _316775)), -(nil = _316775), 1556 ^ _262489 : [(1559 ^ _262489) ^ [] : [-(totalorderedP(_316775))], (1561 ^ _262489) ^ [] : [-(leq(_316616, hd(_316775)))], (1557 ^ _262489) ^ [] : [nil = _316775]]]]]]], (268 ^ _262489) ^ [_271048, _271050, _271052, _271054] : [-(cons(_271054, _271050) = cons(_271052, _271048)), _271054 = _271052, _271050 = _271048], (1317 ^ _262489) ^ [_309741] : [ssList(_309741), 1320 ^ _262489 : [(1327 ^ _262489) ^ [] : [nil = _309741, -(frontsegP(nil, _309741))], (1321 ^ _262489) ^ [] : [frontsegP(nil, _309741), -(nil = _309741)]]], (451 ^ _262489) ^ [_277229] : [ssList(_277229), 454 ^ _262489 : [(455 ^ _262489) ^ [] : [cyclefreeP(_277229), 458 ^ _262489 : [(459 ^ _262489) ^ [_277533] : [ssItem(_277533), 462 ^ _262489 : [(463 ^ _262489) ^ [_277725] : [ssItem(_277725), 466 ^ _262489 : [(467 ^ _262489) ^ [_277913] : [ssList(_277913), 470 ^ _262489 : [(471 ^ _262489) ^ [_278097] : [ssList(_278097), 474 ^ _262489 : [(475 ^ _262489) ^ [_278277] : [ssList(_278277), app(app(_277913, cons(_277533, _278097)), cons(_277725, _278277)) = _277229, leq(_277533, _277725), leq(_277725, _277533)]]]]]]]]]]], (489 ^ _262489) ^ [] : [491 ^ _262489 : [(510 ^ _262489) ^ [] : [-(leq(493 ^ [_277229], 490 ^ [_277229]))], (504 ^ _262489) ^ [] : [-(ssList(502 ^ [_277229]))], (506 ^ _262489) ^ [] : [-(app(app(496 ^ [_277229], cons(490 ^ [_277229], 499 ^ [_277229])), cons(493 ^ [_277229], 502 ^ [_277229])) = _277229)], (508 ^ _262489) ^ [] : [-(leq(490 ^ [_277229], 493 ^ [_277229]))], (498 ^ _262489) ^ [] : [-(ssList(496 ^ [_277229]))], (495 ^ _262489) ^ [] : [-(ssItem(493 ^ [_277229]))], (492 ^ _262489) ^ [] : [-(ssItem(490 ^ [_277229]))], (501 ^ _262489) ^ [] : [-(ssList(499 ^ [_277229]))]], -(cyclefreeP(_277229))]]], (1955 ^ _262489) ^ [_329390] : [ssItem(_329390), 1958 ^ _262489 : [(1959 ^ _262489) ^ [_329542] : [ssItem(_329542), 1962 ^ _262489 : [(1963 ^ _262489) ^ [_329690] : [ssItem(_329690), -(gt(_329390, _329690)), gt(_329390, _329542), gt(_329542, _329690)]]]]], (86 ^ _262489) ^ [_265308, _265310] : [-(cyclefreeP(_265308)), _265310 = _265308, cyclefreeP(_265310)], (1897 ^ _262489) ^ [_327704] : [ssItem(_327704), 1900 ^ _262489 : [(1901 ^ _262489) ^ [_327846] : [ssItem(_327846), leq(_327704, _327846), -(_327704 = _327846), -(lt(_327704, _327846))]]], (1749 ^ _262489) ^ [_322998] : [ssList(_322998), 1752 ^ _262489 : [(1753 ^ _262489) ^ [_323150] : [ssList(_323150), 1756 ^ _262489 : [(1757 ^ _262489) ^ [_323298] : [ssList(_323298), -(app(app(_322998, _323150), _323298) = app(_322998, app(_323150, _323298)))]]]]], (1633 ^ _262489) ^ [_319294] : [ssItem(_319294), -(equalelemsP(cons(_319294, nil)))], (96 ^ _262489) ^ [_265603, _265605] : [-(totalorderP(_265603)), _265605 = _265603, totalorderP(_265605)], (881 ^ _262489) ^ [_295637] : [ssList(_295637), 884 ^ _262489 : [(885 ^ _262489) ^ [_295769] : [ssItem(_295769), -(ssList(cons(_295769, _295637)))]]], (1205 ^ _262489) ^ [_306119] : [ssItem(_306119), memberP(nil, _306119)], (340 ^ _262489) ^ [_273483] : [ssList(_273483), 343 ^ _262489 : [(353 ^ _262489) ^ [] : [-(singletonP(_273483)), 354 ^ _262489 : [(355 ^ _262489) ^ [_273932] : [ssItem(_273932), cons(_273932, nil) = _273483]]], (344 ^ _262489) ^ [] : [singletonP(_273483), 348 ^ _262489 : [(351 ^ _262489) ^ [] : [-(cons(347 ^ [_273483], nil) = _273483)], (349 ^ _262489) ^ [] : [-(ssItem(347 ^ [_273483]))]]]]], (1869 ^ _262489) ^ [_326815] : [ssItem(_326815), lt(_326815, _326815)], (1667 ^ _262489) ^ [_320367] : [ssList(_320367), 1670 ^ _262489 : [(1671 ^ _262489) ^ [_320533] : [ssList(_320533), -(_320533 = _320367), -(nil = _320533), -(nil = _320367), hd(_320533) = hd(_320367), tl(_320533) = tl(_320367)]]], (1631 ^ _262489) ^ [] : [-(duplicatefreeP(nil))], (953 ^ _262489) ^ [_298184] : [ssList(_298184), -(nil = _298184), -(ssItem(hd(_298184)))], (146 ^ _262489) ^ [_267106, _267108, _267110, _267112] : [-(geq(_267110, _267106)), geq(_267112, _267108), _267112 = _267110, _267108 = _267106], (1509 ^ _262489) ^ [_315636] : [ssItem(_315636), -(cyclefreeP(cons(_315636, nil)))], (1875 ^ _262489) ^ [_327004] : [ssItem(_327004), 1878 ^ _262489 : [(1879 ^ _262489) ^ [_327156] : [ssItem(_327156), 1882 ^ _262489 : [(1883 ^ _262489) ^ [_327304] : [ssItem(_327304), -(lt(_327004, _327304)), leq(_327004, _327156), lt(_327156, _327304)]]]]], (1175 ^ _262489) ^ [_305166] : [ssItem(_305166), 1178 ^ _262489 : [(1179 ^ _262489) ^ [_305321] : [ssItem(_305321), 1182 ^ _262489 : [(1183 ^ _262489) ^ [_305472] : [ssList(_305472), 1186 ^ _262489 : [(1187 ^ _262489) ^ [] : [memberP(cons(_305321, _305472), _305166), -(_305166 = _305321), -(memberP(_305472, _305166))], (1197 ^ _262489) ^ [] : [1198 ^ _262489 : [(1201 ^ _262489) ^ [] : [memberP(_305472, _305166)], (1199 ^ _262489) ^ [] : [_305166 = _305321]], -(memberP(cons(_305321, _305472), _305166))]]]]]]], (1023 ^ _262489) ^ [_300501] : [ssItem(_300501), 1026 ^ _262489 : [(1027 ^ _262489) ^ [_300643] : [ssItem(_300643), -(_300501 = _300643), leq(_300501, _300643), leq(_300643, _300501)]]], (1721 ^ _262489) ^ [_322021] : [ssList(_322021), 1724 ^ _262489 : [(1725 ^ _262489) ^ [_322173] : [ssList(_322173), 1728 ^ _262489 : [(1729 ^ _262489) ^ [_322321] : [ssList(_322321), app(_322173, _322321) = app(_322173, _322021), -(_322321 = _322021)]]]]], (1493 ^ _262489) ^ [_315208] : [ssList(_315208), 1496 ^ _262489 : [(1503 ^ _262489) ^ [] : [nil = _315208, -(segmentP(nil, _315208))], (1497 ^ _262489) ^ [] : [segmentP(nil, _315208), -(nil = _315208)]]], (993 ^ _262489) ^ [_299432] : [ssList(_299432), 996 ^ _262489 : [(997 ^ _262489) ^ [_299564] : [ssList(_299564), -(ssList(app(_299432, _299564)))]]], (252 ^ _262489) ^ [_270491, _270493, _270495, _270497] : [-(app(_270497, _270493) = app(_270495, _270491)), _270497 = _270495, _270493 = _270491], (697 ^ _262489) ^ [_288031] : [ssList(_288031), 700 ^ _262489 : [(701 ^ _262489) ^ [] : [strictorderedP(_288031), 704 ^ _262489 : [(705 ^ _262489) ^ [_288327] : [ssItem(_288327), 708 ^ _262489 : [(709 ^ _262489) ^ [_288511] : [ssItem(_288511), 712 ^ _262489 : [(713 ^ _262489) ^ [_288691] : [ssList(_288691), 716 ^ _262489 : [(717 ^ _262489) ^ [_288867] : [ssList(_288867), 720 ^ _262489 : [(721 ^ _262489) ^ [_289039] : [ssList(_289039), app(app(_288691, cons(_288327, _288867)), cons(_288511, _289039)) = _288031, -(lt(_288327, _288511))]]]]]]]]]]], (731 ^ _262489) ^ [] : [733 ^ _262489 : [(746 ^ _262489) ^ [] : [-(ssList(744 ^ [_288031]))], (740 ^ _262489) ^ [] : [-(ssList(738 ^ [_288031]))], (743 ^ _262489) ^ [] : [-(ssList(741 ^ [_288031]))], (734 ^ _262489) ^ [] : [-(ssItem(732 ^ [_288031]))], (750 ^ _262489) ^ [] : [lt(732 ^ [_288031], 735 ^ [_288031])], (748 ^ _262489) ^ [] : [-(app(app(738 ^ [_288031], cons(732 ^ [_288031], 741 ^ [_288031])), cons(735 ^ [_288031], 744 ^ [_288031])) = _288031)], (737 ^ _262489) ^ [] : [-(ssItem(735 ^ [_288031]))]], -(strictorderedP(_288031))]]], (1533 ^ _262489) ^ [_316371] : [ssItem(_316371), -(totalorderedP(cons(_316371, nil)))], (1823 ^ _262489) ^ [_325406] : [ssItem(_325406), 1826 ^ _262489 : [(1827 ^ _262489) ^ [_325548] : [ssItem(_325548), -(_325406 = _325548), geq(_325406, _325548), geq(_325548, _325406)]]], (943 ^ _262489) ^ [_297841] : [ssList(_297841), 946 ^ _262489 : [(947 ^ _262489) ^ [_297976] : [ssItem(_297976), nil = cons(_297976, _297841)]]], (1641 ^ _262489) ^ [_319539] : [ssList(_319539), -(nil = _319539), 1649 ^ _262489 : [(1652 ^ _262489) ^ [] : [-(hd(_319539) = 1648 ^ [_319539])], (1650 ^ _262489) ^ [] : [-(ssItem(1648 ^ [_319539]))]]], (1915 ^ _262489) ^ [_328226] : [ssItem(_328226), 1918 ^ _262489 : [(1919 ^ _262489) ^ [_328370] : [ssItem(_328370), 1922 ^ _262489 : [(1931 ^ _262489) ^ [] : [-(lt(_328226, _328370)), -(_328226 = _328370), leq(_328226, _328370)], (1923 ^ _262489) ^ [] : [lt(_328226, _328370), 1926 ^ _262489 : [(1929 ^ _262489) ^ [] : [-(leq(_328226, _328370))], (1927 ^ _262489) ^ [] : [_328226 = _328370]]]]]]], (1311 ^ _262489) ^ [_309553] : [ssList(_309553), -(frontsegP(_309553, nil))], (2 ^ _262489) ^ [_262613] : [-(_262613 = _262613)], (1539 ^ _262489) ^ [] : [-(totalorderedP(nil))], (1941 ^ _262489) ^ [_328981] : [ssItem(_328981), 1944 ^ _262489 : [(1945 ^ _262489) ^ [_329119] : [ssItem(_329119), gt(_328981, _329119), gt(_329119, _328981)]]], (202 ^ _262489) ^ [_268854, _268856] : [-(ssList(_268854)), _268856 = _268854, ssList(_268856)], (1763 ^ _262489) ^ [_323536] : [ssList(_323536), 1766 ^ _262489 : [(1767 ^ _262489) ^ [_323681] : [ssList(_323681), 1770 ^ _262489 : [(1779 ^ _262489) ^ [] : [-(nil = app(_323536, _323681)), nil = _323681, nil = _323536], (1771 ^ _262489) ^ [] : [nil = app(_323536, _323681), 1774 ^ _262489 : [(1777 ^ _262489) ^ [] : [-(nil = _323536)], (1775 ^ _262489) ^ [] : [-(nil = _323681)]]]]]]], (306 ^ _262489) ^ [_272234] : [ssList(_272234), 309 ^ _262489 : [(310 ^ _262489) ^ [_272396] : [ssItem(_272396), 313 ^ _262489 : [(326 ^ _262489) ^ [] : [-(memberP(_272234, _272396)), 327 ^ _262489 : [(328 ^ _262489) ^ [_273044] : [ssList(_273044), 331 ^ _262489 : [(332 ^ _262489) ^ [_273192] : [ssList(_273192), app(_273044, cons(_272396, _273192)) = _272234]]]]], (314 ^ _262489) ^ [] : [memberP(_272234, _272396), 318 ^ _262489 : [(322 ^ _262489) ^ [] : [-(ssList(320 ^ [_272234, _272396]))], (324 ^ _262489) ^ [] : [-(app(317 ^ [_272234, _272396], cons(_272396, 320 ^ [_272234, _272396])) = _272234)], (319 ^ _262489) ^ [] : [-(ssList(317 ^ [_272234, _272396]))]]]]]]], (1003 ^ _262489) ^ [_299769] : [ssList(_299769), 1006 ^ _262489 : [(1007 ^ _262489) ^ [_299921] : [ssList(_299921), 1010 ^ _262489 : [(1011 ^ _262489) ^ [_300069] : [ssItem(_300069), -(cons(_300069, app(_299921, _299769)) = app(cons(_300069, _299921), _299769))]]]]], (4 ^ _262489) ^ [_262720, _262722] : [_262722 = _262720, -(_262720 = _262722)], (262 ^ _262489) ^ [_270822, _270824] : [_270824 = _270822, -(tl(_270824) = tl(_270822))], (973 ^ _262489) ^ [_298808] : [ssList(_298808), -(nil = _298808), -(ssList(tl(_298808)))], (1063 ^ _262489) ^ [_301722] : [ssItem(_301722), -(leq(_301722, _301722))], (1625 ^ _262489) ^ [_319049] : [ssItem(_319049), -(duplicatefreeP(cons(_319049, nil)))], (1579 ^ _262489) ^ [_317710] : [ssItem(_317710), -(strictorderedP(cons(_317710, nil)))], (1703 ^ _262489) ^ [_321402] : [ssList(_321402), 1706 ^ _262489 : [(1707 ^ _262489) ^ [_321554] : [ssList(_321554), 1710 ^ _262489 : [(1711 ^ _262489) ^ [_321702] : [ssList(_321702), app(_321702, _321554) = app(_321402, _321554), -(_321702 = _321402)]]]]], (1739 ^ _262489) ^ [_322640] : [ssList(_322640), 1742 ^ _262489 : [(1743 ^ _262489) ^ [_322779] : [ssItem(_322779), -(cons(_322779, _322640) = app(cons(_322779, nil), _322640))]]], (514 ^ _262489) ^ [_280015] : [ssList(_280015), 517 ^ _262489 : [(518 ^ _262489) ^ [] : [totalorderP(_280015), 521 ^ _262489 : [(522 ^ _262489) ^ [_280317] : [ssItem(_280317), 525 ^ _262489 : [(526 ^ _262489) ^ [_280507] : [ssItem(_280507), 529 ^ _262489 : [(530 ^ _262489) ^ [_280693] : [ssList(_280693), 533 ^ _262489 : [(534 ^ _262489) ^ [_280875] : [ssList(_280875), 537 ^ _262489 : [(538 ^ _262489) ^ [_281053] : [ssList(_281053), app(app(_280693, cons(_280317, _280875)), cons(_280507, _281053)) = _280015, -(leq(_280317, _280507)), -(leq(_280507, _280317))]]]]]]]]]]], (552 ^ _262489) ^ [] : [554 ^ _262489 : [(573 ^ _262489) ^ [] : [leq(556 ^ [_280015], 553 ^ [_280015])], (567 ^ _262489) ^ [] : [-(ssList(565 ^ [_280015]))], (569 ^ _262489) ^ [] : [-(app(app(559 ^ [_280015], cons(553 ^ [_280015], 562 ^ [_280015])), cons(556 ^ [_280015], 565 ^ [_280015])) = _280015)], (571 ^ _262489) ^ [] : [leq(553 ^ [_280015], 556 ^ [_280015])], (561 ^ _262489) ^ [] : [-(ssList(559 ^ [_280015]))], (558 ^ _262489) ^ [] : [-(ssItem(556 ^ [_280015]))], (555 ^ _262489) ^ [] : [-(ssItem(553 ^ [_280015]))], (564 ^ _262489) ^ [] : [-(ssList(562 ^ [_280015]))]], -(totalorderP(_280015))]]], (1639 ^ _262489) ^ [] : [-(equalelemsP(nil))], (58 ^ _262489) ^ [_264448, _264450, _264452, _264454] : [-(rearsegP(_264452, _264448)), rearsegP(_264454, _264450), _264454 = _264452, _264450 = _264448], (754 ^ _262489) ^ [_290519] : [ssList(_290519), 757 ^ _262489 : [(758 ^ _262489) ^ [] : [duplicatefreeP(_290519), 761 ^ _262489 : [(762 ^ _262489) ^ [_290817] : [ssItem(_290817), 765 ^ _262489 : [(766 ^ _262489) ^ [_291003] : [ssItem(_291003), 769 ^ _262489 : [(770 ^ _262489) ^ [_291185] : [ssList(_291185), 773 ^ _262489 : [(774 ^ _262489) ^ [_291363] : [ssList(_291363), 777 ^ _262489 : [(778 ^ _262489) ^ [_291537] : [ssList(_291537), app(app(_291185, cons(_290817, _291363)), cons(_291003, _291537)) = _290519, _290817 = _291003]]]]]]]]]]], (788 ^ _262489) ^ [] : [790 ^ _262489 : [(803 ^ _262489) ^ [] : [-(ssList(801 ^ [_290519]))], (797 ^ _262489) ^ [] : [-(ssList(795 ^ [_290519]))], (800 ^ _262489) ^ [] : [-(ssList(798 ^ [_290519]))], (791 ^ _262489) ^ [] : [-(ssItem(789 ^ [_290519]))], (807 ^ _262489) ^ [] : [-(789 ^ [_290519] = 792 ^ [_290519])], (805 ^ _262489) ^ [] : [-(app(app(795 ^ [_290519], cons(789 ^ [_290519], 798 ^ [_290519])), cons(792 ^ [_290519], 801 ^ [_290519])) = _290519)], (794 ^ _262489) ^ [] : [-(ssItem(792 ^ [_290519]))]], -(duplicatefreeP(_290519))]]], (1654 ^ _262489) ^ [_319953] : [ssList(_319953), -(nil = _319953), 1662 ^ _262489 : [(1665 ^ _262489) ^ [] : [-(tl(_319953) = 1661 ^ [_319953])], (1663 ^ _262489) ^ [] : [-(ssList(1661 ^ [_319953]))]]], (983 ^ _262489) ^ [_299086] : [ssList(_299086), 986 ^ _262489 : [(987 ^ _262489) ^ [_299221] : [ssItem(_299221), -(tl(cons(_299221, _299086)) = _299086)]]], (1465 ^ _262489) ^ [_314210] : [ssList(_314210), 1468 ^ _262489 : [(1469 ^ _262489) ^ [_314372] : [ssList(_314372), 1472 ^ _262489 : [(1473 ^ _262489) ^ [_314530] : [ssList(_314530), 1476 ^ _262489 : [(1477 ^ _262489) ^ [_314684] : [ssList(_314684), segmentP(_314210, _314372), -(segmentP(app(app(_314530, _314210), _314684), _314372))]]]]]]], (1403 ^ _262489) ^ [_312373] : [ssList(_312373), 1406 ^ _262489 : [(1413 ^ _262489) ^ [] : [nil = _312373, -(rearsegP(nil, _312373))], (1407 ^ _262489) ^ [] : [rearsegP(nil, _312373), -(nil = _312373)]]], (1789 ^ _262489) ^ [_324299] : [ssList(_324299), -(app(_324299, nil) = _324299)], (893 ^ _262489) ^ [_296027] : [ssList(_296027), 896 ^ _262489 : [(897 ^ _262489) ^ [_296162] : [ssItem(_296162), cons(_296162, _296027) = _296027]]], (861 ^ _262489) ^ [_295046] : [ssList(_295046), 864 ^ _262489 : [(865 ^ _262489) ^ [_295184] : [ssList(_295184), 868 ^ _262489 : [(875 ^ _262489) ^ [] : [-(_295046 = _295184), -(neq(_295046, _295184))], (869 ^ _262489) ^ [] : [neq(_295046, _295184), _295046 = _295184]]]]], (963 ^ _262489) ^ [_298462] : [ssList(_298462), 966 ^ _262489 : [(967 ^ _262489) ^ [_298597] : [ssItem(_298597), -(hd(cons(_298597, _298462)) = _298597)]]], (1795 ^ _262489) ^ [_324493] : [ssList(_324493), 1798 ^ _262489 : [(1799 ^ _262489) ^ [_324638] : [ssList(_324638), -(nil = _324493), -(hd(app(_324493, _324638)) = hd(_324493))]]], (1863 ^ _262489) ^ [_326627] : [ssItem(_326627), -(geq(_326627, _326627))], (1017 ^ _262489) ^ [_300307] : [ssList(_300307), -(app(nil, _300307) = _300307)]], input).
% 222.22/214.46  ncf('1',plain,[2000 : -(cons(1996 ^ [], nil) = 1982 ^ []), 2006 : -(nil = 1982 ^ [])],start(1995 ^ 0)).
% 222.22/214.46  ncf('1.1',plain,[cons(1996 ^ [], nil) = 1982 ^ [], -(totalorderedP(1982 ^ [])), totalorderedP(cons(1996 ^ [], nil))],extension(212 ^ 3,bind([[_269149, _269151], [1982 ^ [], cons(1996 ^ [], nil)]]))).
% 222.22/214.46  ncf('1.1.1',plain,[totalorderedP(1982 ^ []), -(totalorderedP(1976 ^ [])), 1982 ^ [] = 1976 ^ []],extension(212 ^ 4,bind([[_269149, _269151], [1976 ^ [], 1982 ^ []]]))).
% 222.22/214.46  ncf('1.1.1.1',plain,[totalorderedP(1976 ^ [])],extension(1993 ^ 5)).
% 222.22/214.46  ncf('1.1.1.2',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 5,bind([[_262720, _262722], [1982 ^ [], 1976 ^ []]]))).
% 222.22/214.46  ncf('1.1.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 6)).
% 222.22/214.46  ncf('1.1.2',plain,[-(totalorderedP(cons(1996 ^ [], nil))), 1565 : nil = nil, 1563 : ssList(nil), 1545 : ssItem(1996 ^ [])],extension(1541 ^ 4,bind([[_316616, _316775], [1996 ^ [], nil]]))).
% 222.22/214.46  ncf('1.1.2.1',plain,[-(nil = nil)],extension(2 ^ 11,bind([[_262613], [nil]]))).
% 222.22/214.46  ncf('1.1.2.2',plain,[-(ssList(nil))],extension(891 ^ 7)).
% 222.22/214.46  ncf('1.1.2.3',plain,[-(ssItem(1996 ^ []))],extension(1998 ^ 5)).
% 222.22/214.46  ncf('1.2',plain,[nil = 1982 ^ [], -(neq(1982 ^ [], nil)), neq(nil, 1976 ^ []), 1976 ^ [] = nil],extension(20 ^ 3,bind([[_263265, _263267, _263269, _263271], [nil, 1976 ^ [], 1982 ^ [], nil]]))).
% 222.22/214.46  ncf('1.2.1',plain,[neq(1982 ^ [], nil), -(neq(nil, 1982 ^ [])), 1982 ^ [] = nil, nil = 1982 ^ []],extension(20 ^ 4,bind([[_263265, _263267, _263269, _263271], [1982 ^ [], nil, nil, 1982 ^ []]]))).
% 222.22/214.46  ncf('1.2.1.1',plain,[neq(nil, 1982 ^ []), 869 : nil = 1982 ^ [], 869 : ssList(1982 ^ []), 865 : ssList(nil)],extension(861 ^ 5,bind([[_295046, _295184], [nil, 1982 ^ []]]))).
% 222.22/214.46  ncf('1.2.1.1.1',plain,[-(nil = 1982 ^ [])],reduction('1')).
% 222.22/214.46  ncf('1.2.1.1.2',plain,[-(ssList(1982 ^ []))],extension(1984 ^ 8)).
% 222.22/214.46  ncf('1.2.1.1.3',plain,[-(ssList(nil))],extension(891 ^ 6)).
% 222.22/214.46  ncf('1.2.1.2',plain,[-(1982 ^ [] = nil), nil = 1982 ^ []],extension(4 ^ 5,bind([[_262720, _262722], [1982 ^ [], nil]]))).
% 222.22/214.46  ncf('1.2.1.2.1',plain,[-(nil = 1982 ^ [])],reduction('1')).
% 222.22/214.46  ncf('1.2.1.3',plain,[-(nil = 1982 ^ [])],reduction('1')).
% 222.22/214.46  ncf('1.2.2',plain,[-(neq(nil, 1976 ^ [])), 875 : -(nil = 1976 ^ []), 875 : ssList(1976 ^ []), 865 : ssList(nil)],extension(861 ^ 4,bind([[_295046, _295184], [nil, 1976 ^ []]]))).
% 222.22/214.46  ncf('1.2.2.1',plain,[nil = 1976 ^ [], -(totalorderedP(1976 ^ [])), totalorderedP(nil)],extension(212 ^ 9,bind([[_269149, _269151], [1976 ^ [], nil]]))).
% 222.22/214.46  ncf('1.2.2.1.1',plain,[totalorderedP(1976 ^ [])],extension(1993 ^ 10)).
% 222.22/214.46  ncf('1.2.2.1.2',plain,[-(totalorderedP(nil))],extension(1539 ^ 10)).
% 222.22/214.46  ncf('1.2.2.2',plain,[-(ssList(1976 ^ []))],extension(1978 ^ 7)).
% 222.22/214.46  ncf('1.2.2.3',plain,[-(ssList(nil))],extension(891 ^ 5)).
% 222.22/214.46  ncf('1.2.3',plain,[-(1976 ^ [] = nil), 1976 ^ [] = 1982 ^ [], 1982 ^ [] = nil],extension(10 ^ 4,bind([[_262924, _262926, _262928], [nil, 1982 ^ [], 1976 ^ []]]))).
% 222.22/214.46  ncf('1.2.3.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 5)).
% 222.22/214.46  ncf('1.2.3.2',plain,[-(1982 ^ [] = nil), nil = 1982 ^ []],extension(4 ^ 5,bind([[_262720, _262722], [1982 ^ [], nil]]))).
% 222.22/214.46  ncf('1.2.3.2.1',plain,[-(nil = 1982 ^ [])],reduction('1')).
% 222.22/214.46  %-----------------------------------------------------
% 222.22/214.46  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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