TSTP Solution File: NUM584+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:45:04 EDT 2023
% Result : Theorem 43.15s 42.73s
% Output : Proof 43.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n006.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 17:37:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 43.15/42.73
% 43.15/42.73 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.15/42.73 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.15/42.73 %-----------------------------------------------------
% 43.15/42.73 ncf(matrix, plain, [(1685 ^ _265199) ^ [] : [aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))], !, (1310 ^ _210668) ^ [_251600] : [aFunction0(_251600), true___, -(true___)], (40 ^ _210668) ^ [_212006, _212008] : [-(isFinite0(_212006)), _212008 = _212006, isFinite0(_212008)], (644 ^ _210668) ^ [] : [-(aSet0(szNzAzT0))], (1615 ^ _210668) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1559 ^ _210668) ^ [] : [-(aSubsetOf0(xS, szNzAzT0))], (164 ^ _210668) ^ [_216069, _216071, _216073, _216075] : [-(sdtlcdtrc0(_216075, _216071) = sdtlcdtrc0(_216073, _216069)), _216075 = _216073, _216071 = _216069], (366 ^ _210668) ^ [_222486] : [aSet0(_222486), isFinite0(_222486), 373 ^ _210668 : [(374 ^ _210668) ^ [_222699] : [aSubsetOf0(_222699, _222486), -(isFinite0(_222699))]]], (10 ^ _210668) ^ [_211103, _211105, _211107] : [-(_211107 = _211103), _211107 = _211105, _211105 = _211103], (1229 ^ _210668) ^ [_249022] : [aSet0(_249022), -(isFinite0(_249022)), 1236 ^ _210668 : [(1237 ^ _210668) ^ [_249244] : [aElementOf0(_249244, szNzAzT0), slbdtsldtrb0(_249022, _249244) = slcrc0]]], (685 ^ _210668) ^ [_232492] : [aElementOf0(_232492, szNzAzT0), _232492 = szszuzczcdt0(_232492)], (1623 ^ _210668) ^ [] : [-(sdtlpdtrp0(xN, sz00) = xS)], (887 ^ _210668) ^ [_238219] : [aSet0(_238219), 890 ^ _210668 : [(891 ^ _210668) ^ [_238364] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_238219, _238364))) = sbrdtbr0(_238219)), isFinite0(_238219), aElementOf0(_238364, _238219)]]], (380 ^ _210668) ^ [_222902] : [aSet0(_222902), -(aSubsetOf0(_222902, _222902))], (138 ^ _210668) ^ [_215133, _215135, _215137, _215139] : [-(sdtexdt0(_215139, _215135) = sdtexdt0(_215137, _215133)), _215139 = _215137, _215135 = _215133], (672 ^ _210668) ^ [_232075] : [aElementOf0(_232075, szNzAzT0), -(_232075 = sz00), 680 ^ _210668 : [(683 ^ _210668) ^ [] : [-(_232075 = szszuzczcdt0(679 ^ [_232075]))], (681 ^ _210668) ^ [] : [-(aElementOf0(679 ^ [_232075], szNzAzT0))]]], (1561 ^ _210668) ^ [] : [-(isCountable0(xS))], (616 ^ _210668) ^ [_230386] : [aElement0(_230386), 619 ^ _210668 : [(620 ^ _210668) ^ [_230523] : [-(isFinite0(sdtpldt0(_230523, _230386))), aSet0(_230523), isFinite0(_230523)]]], (721 ^ _210668) ^ [_233550, _233552] : [aElementOf0(_233552, szNzAzT0), aElementOf0(_233550, szNzAzT0), 728 ^ _210668 : [(735 ^ _210668) ^ [] : [sdtlseqdt0(szszuzczcdt0(_233552), szszuzczcdt0(_233550)), -(sdtlseqdt0(_233552, _233550))], (729 ^ _210668) ^ [] : [sdtlseqdt0(_233552, _233550), -(sdtlseqdt0(szszuzczcdt0(_233552), szszuzczcdt0(_233550)))]]], (148 ^ _210668) ^ [_215492, _215494, _215496, _215498] : [-(sdtlbdtrb0(_215498, _215494) = sdtlbdtrb0(_215496, _215492)), _215498 = _215496, _215494 = _215492], (317 ^ _210668) ^ [_220943] : [isFinite0(_220943), aSet0(_220943), isCountable0(_220943)], (1567 ^ _210668) ^ [] : [-(aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT))], (709 ^ _210668) ^ [_233151] : [aElementOf0(_233151, szNzAzT0), -(sdtlseqdt0(sz00, _233151))], (1565 ^ _210668) ^ [] : [-(szDzozmdt0(xc) = slbdtsldtrb0(xS, xK))], (303 ^ _210668) ^ [_220602] : [aSet0(_220602), isCountable0(_220602), true___, -(true___)], (282 ^ _210668) ^ [_219971] : [_219971 = slcrc0, 285 ^ _210668 : [(288 ^ _210668) ^ [_220152] : [aElementOf0(_220152, _219971)], (286 ^ _210668) ^ [] : [-(aSet0(_219971))]]], (1119 ^ _210668) ^ [_245480, _245482] : [aElementOf0(_245482, szNzAzT0), aElementOf0(_245480, szNzAzT0), 1126 ^ _210668 : [(1133 ^ _210668) ^ [] : [aSubsetOf0(slbdtrb0(_245482), slbdtrb0(_245480)), -(sdtlseqdt0(_245482, _245480))], (1127 ^ _210668) ^ [] : [sdtlseqdt0(_245482, _245480), -(aSubsetOf0(slbdtrb0(_245482), slbdtrb0(_245480)))]]], (132 ^ _210668) ^ [_214887, _214889] : [_214889 = _214887, -(slbdtrb0(_214889) = slbdtrb0(_214887))], (1393 ^ _210668) ^ [_254389, _254391] : [-(aSubsetOf0(sdtlbdtrb0(_254391, _254389), szDzozmdt0(_254391))), aFunction0(_254391), aElement0(_254389)], (1617 ^ _210668) ^ [] : [-(szszuzczcdt0(xk) = xK)], (1261 ^ _210668) ^ [_249981] : [aElementOf0(_249981, szNzAzT0), 1264 ^ _210668 : [(1265 ^ _210668) ^ [_250168, _250170] : [aSet0(_250170), aSet0(_250168), -(_249981 = sz00), -(aSubsetOf0(_250170, _250168)), aSubsetOf0(slbdtsldtrb0(_250170, _249981), slbdtsldtrb0(_250168, _249981)), -(slbdtsldtrb0(_250170, _249981) = slcrc0)]]], (1158 ^ _210668) ^ [_246655, _246657] : [aSet0(_246657), aElementOf0(_246655, szNzAzT0), 1165 ^ _210668 : [(1166 ^ _210668) ^ [_246935] : [_246935 = slbdtsldtrb0(_246657, _246655), 1169 ^ _210668 : [(1180 ^ _210668) ^ [_247458] : [-(aElementOf0(_247458, _246935)), aSubsetOf0(_247458, _246657), sbrdtbr0(_247458) = _246655], (1172 ^ _210668) ^ [_247195] : [aElementOf0(_247195, _246935), 1175 ^ _210668 : [(1178 ^ _210668) ^ [] : [-(sbrdtbr0(_247195) = _246655)], (1176 ^ _210668) ^ [] : [-(aSubsetOf0(_247195, _246657))]]], (1170 ^ _210668) ^ [] : [-(aSet0(_246935))]]], (1190 ^ _210668) ^ [_247748] : [-(_247748 = slbdtsldtrb0(_246657, _246655)), aSet0(_247748), 1206 ^ _210668 : [(1211 ^ _210668) ^ [] : [aElementOf0(1195 ^ [_246655, _246657, _247748], _247748)], (1209 ^ _210668) ^ [] : [-(sbrdtbr0(1195 ^ [_246655, _246657, _247748]) = _246655)], (1207 ^ _210668) ^ [] : [-(aSubsetOf0(1195 ^ [_246655, _246657, _247748], _246657))]], 1198 ^ _210668 : [(1201 ^ _210668) ^ [] : [aSubsetOf0(1195 ^ [_246655, _246657, _247748], _246657), sbrdtbr0(1195 ^ [_246655, _246657, _247748]) = _246655], (1199 ^ _210668) ^ [] : [-(aElementOf0(1195 ^ [_246655, _246657, _247748], _247748))]]]]], (869 ^ _210668) ^ [_237676] : [aSet0(_237676), isFinite0(_237676), 876 ^ _210668 : [(877 ^ _210668) ^ [_237906] : [aElement0(_237906), -(aElementOf0(_237906, _237676)), -(sbrdtbr0(sdtpldt0(_237676, _237906)) = szszuzczcdt0(sbrdtbr0(_237676)))]]], (691 ^ _210668) ^ [_232701, _232703] : [aElementOf0(_232703, szNzAzT0), aElementOf0(_232701, szNzAzT0), sdtlseqdt0(_232703, _232701), true___, -(true___)], (212 ^ _210668) ^ [_217772, _217774] : [_217774 = _217772, -(szmzizndt0(_217774) = szmzizndt0(_217772))], (1152 ^ _210668) ^ [_246443] : [aElementOf0(_246443, szNzAzT0), -(sbrdtbr0(slbdtrb0(_246443)) = _246443)], (1681 ^ _210668) ^ [] : [-(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)], (1462 ^ _210668) ^ [_257048] : [aFunction0(_257048), 1465 ^ _210668 : [(1466 ^ _210668) ^ [_257189] : [aElementOf0(_257189, szDzozmdt0(_257048)), -(aElementOf0(sdtlpdtrp0(_257048, _257189), sdtlcdtrc0(_257048, szDzozmdt0(_257048))))]]], (969 ^ _210668) ^ [_240848] : [aSubsetOf0(_240848, szNzAzT0), isFinite0(_240848), -(_240848 = slcrc0), 980 ^ _210668 : [(993 ^ _210668) ^ [_241594] : [-(_241594 = szmzazxdt0(_240848)), aElementOf0(_241594, _240848), 999 ^ _210668 : [(1002 ^ _210668) ^ [] : [sdtlseqdt0(998 ^ [_240848, _241594], _241594)], (1000 ^ _210668) ^ [] : [-(aElementOf0(998 ^ [_240848, _241594], _240848))]]], (981 ^ _210668) ^ [_241200] : [_241200 = szmzazxdt0(_240848), 984 ^ _210668 : [(987 ^ _210668) ^ [_241415] : [aElementOf0(_241415, _240848), -(sdtlseqdt0(_241415, _241200))], (985 ^ _210668) ^ [] : [-(aElementOf0(_241200, _240848))]]]]], (753 ^ _210668) ^ [_234497, _234499] : [aElementOf0(_234499, szNzAzT0), aElementOf0(_234497, szNzAzT0), -(_234499 = _234497), sdtlseqdt0(_234499, _234497), sdtlseqdt0(_234497, _234499)], (30 ^ _210668) ^ [_211711, _211713] : [-(aSet0(_211711)), _211713 = _211711, aSet0(_211713)], (747 ^ _210668) ^ [_234293] : [aElementOf0(_234293, szNzAzT0), -(sdtlseqdt0(_234293, _234293))], (574 ^ _210668) ^ [_229141, _229143] : [aElement0(_229143), aSet0(_229141), -(aElementOf0(_229143, _229141)), -(sdtmndt0(sdtpldt0(_229141, _229143), _229143) = _229141)], (20 ^ _210668) ^ [_211416, _211418] : [-(aElement0(_211416)), _211418 = _211416, aElement0(_211418)], (1679 ^ _210668) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))), xk)))], (268 ^ _210668) ^ [_219601] : [aSet0(_219601), isFinite0(_219601), true___, -(true___)], (825 ^ _210668) ^ [_236427] : [aElementOf0(_236427, szNzAzT0), -(iLess0(_236427, szszuzczcdt0(_236427)))], (1085 ^ _210668) ^ [_244494] : [aElementOf0(_244494, szNzAzT0), -(isFinite0(slbdtrb0(_244494)))], (74 ^ _210668) ^ [_213040, _213042] : [-(isCountable0(_213040)), _213042 = _213040, isCountable0(_213042)], (404 ^ _210668) ^ [_223593, _223595, _223597] : [aSet0(_223597), aSet0(_223595), aSet0(_223593), -(aSubsetOf0(_223597, _223593)), aSubsetOf0(_223597, _223595), aSubsetOf0(_223595, _223593)], (248 ^ _210668) ^ [_219015] : [aElement0(_219015), true___, -(true___)], (1091 ^ _210668) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (158 ^ _210668) ^ [_215823, _215825] : [_215825 = _215823, -(szDzizrdt0(_215825) = szDzizrdt0(_215823))], (327 ^ _210668) ^ [_221213] : [_221213 = slcrc0, aSet0(_221213), isCountable0(_221213)], (495 ^ _210668) ^ [_226477, _226479] : [aSet0(_226479), aElement0(_226477), 502 ^ _210668 : [(503 ^ _210668) ^ [_226760] : [_226760 = sdtmndt0(_226479, _226477), 506 ^ _210668 : [(519 ^ _210668) ^ [_227361] : [-(aElementOf0(_227361, _226760)), aElement0(_227361), aElementOf0(_227361, _226479), -(_227361 = _226477)], (509 ^ _210668) ^ [_227025] : [aElementOf0(_227025, _226760), 512 ^ _210668 : [(517 ^ _210668) ^ [] : [_227025 = _226477], (515 ^ _210668) ^ [] : [-(aElementOf0(_227025, _226479))], (513 ^ _210668) ^ [] : [-(aElement0(_227025))]]], (507 ^ _210668) ^ [] : [-(aSet0(_226760))]]], (533 ^ _210668) ^ [_227745] : [-(_227745 = sdtmndt0(_226479, _226477)), aSet0(_227745), 553 ^ _210668 : [(556 ^ _210668) ^ [] : [-(aElementOf0(538 ^ [_226477, _226479, _227745], _226479))], (558 ^ _210668) ^ [] : [538 ^ [_226477, _226479, _227745] = _226477], (560 ^ _210668) ^ [] : [aElementOf0(538 ^ [_226477, _226479, _227745], _227745)], (554 ^ _210668) ^ [] : [-(aElement0(538 ^ [_226477, _226479, _227745]))]], 541 ^ _210668 : [(544 ^ _210668) ^ [] : [aElement0(538 ^ [_226477, _226479, _227745]), aElementOf0(538 ^ [_226477, _226479, _227745], _226479), -(538 ^ [_226477, _226479, _227745] = _226477)], (542 ^ _210668) ^ [] : [-(aElementOf0(538 ^ [_226477, _226479, _227745], _227745))]]]]], (646 ^ _210668) ^ [] : [-(isCountable0(szNzAzT0))], (202 ^ _210668) ^ [_217441, _217443, _217445, _217447] : [-(sdtpldt0(_217447, _217443) = sdtpldt0(_217445, _217441)), _217447 = _217445, _217443 = _217441], (50 ^ _210668) ^ [_212329, _212331, _212333, _212335] : [-(iLess0(_212333, _212329)), iLess0(_212335, _212331), _212335 = _212333, _212331 = _212329], (112 ^ _210668) ^ [_214231, _214233, _214235, _214237] : [-(aElementOf0(_214235, _214231)), aElementOf0(_214237, _214233), _214237 = _214235, _214233 = _214231], (1649 ^ _210668) ^ [_263671, _263673] : [aElementOf0(_263673, szNzAzT0), aElementOf0(_263671, szNzAzT0), sdtlseqdt0(_263671, _263673), -(aSubsetOf0(sdtlpdtrp0(xN, _263673), sdtlpdtrp0(xN, _263671)))], (1537 ^ _210668) ^ [_259956] : [aFunction0(_259956), 1548 ^ _210668 : [(1551 ^ _210668) ^ [] : [-(isCountable0(sdtlbdtrb0(_259956, szDzizrdt0(_259956))))], (1549 ^ _210668) ^ [] : [-(aElement0(szDzizrdt0(_259956)))]], isCountable0(szDzozmdt0(_259956)), isFinite0(sdtlcdtrc0(_259956, szDzozmdt0(_259956)))], (1326 ^ _210668) ^ [_252045] : [aFunction0(_252045), 1329 ^ _210668 : [(1330 ^ _210668) ^ [_252180] : [aElementOf0(_252180, szDzozmdt0(_252045)), -(aElement0(sdtlpdtrp0(_252045, _252180)))]]], (301 ^ _210668) ^ [] : [-(isFinite0(slcrc0))], (126 ^ _210668) ^ [_214669, _214671] : [_214671 = _214669, -(szmzazxdt0(_214671) = szmzazxdt0(_214669))], (1403 ^ _210668) ^ [_254680] : [aFunction0(_254680), 1406 ^ _210668 : [(1407 ^ _210668) ^ [_254857] : [aSubsetOf0(_254857, szDzozmdt0(_254680)), 1410 ^ _210668 : [(1411 ^ _210668) ^ [_255062] : [_255062 = sdtlcdtrc0(_254680, _254857), 1414 ^ _210668 : [(1426 ^ _210668) ^ [_255682] : [-(aElementOf0(_255682, _255062)), 1427 ^ _210668 : [(1428 ^ _210668) ^ [_255787] : [aElementOf0(_255787, _254857), sdtlpdtrp0(_254680, _255787) = _255682]]], (1417 ^ _210668) ^ [_255328] : [aElementOf0(_255328, _255062), 1421 ^ _210668 : [(1424 ^ _210668) ^ [] : [-(sdtlpdtrp0(_254680, 1420 ^ [_254680, _254857, _255062, _255328]) = _255328)], (1422 ^ _210668) ^ [] : [-(aElementOf0(1420 ^ [_254680, _254857, _255062, _255328], _254857))]]], (1415 ^ _210668) ^ [] : [-(aSet0(_255062))]]], (1436 ^ _210668) ^ [_256044] : [-(_256044 = sdtlcdtrc0(_254680, _254857)), aSet0(_256044), 1453 ^ _210668 : [(1458 ^ _210668) ^ [] : [aElementOf0(1441 ^ [_254680, _254857, _256044], _256044)], (1456 ^ _210668) ^ [] : [-(sdtlpdtrp0(_254680, 1452 ^ [_254680, _254857, _256044]) = 1441 ^ [_254680, _254857, _256044])], (1454 ^ _210668) ^ [] : [-(aElementOf0(1452 ^ [_254680, _254857, _256044], _254857))]], 1444 ^ _210668 : [(1447 ^ _210668) ^ [_256437] : [aElementOf0(_256437, _254857), sdtlpdtrp0(_254680, _256437) = 1441 ^ [_254680, _254857, _256044]], (1445 ^ _210668) ^ [] : [-(aElementOf0(1441 ^ [_254680, _254857, _256044], _256044))]]]]]]], (1613 ^ _210668) ^ [] : [xK = sz00], (741 ^ _210668) ^ [_234099] : [aElementOf0(_234099, szNzAzT0), -(sdtlseqdt0(_234099, szszuzczcdt0(_234099)))], (793 ^ _210668) ^ [_235582, _235584] : [aElementOf0(_235584, szNzAzT0), aElementOf0(_235582, szNzAzT0), -(sdtlseqdt0(_235584, _235582)), -(sdtlseqdt0(szszuzczcdt0(_235582), _235584))], (658 ^ _210668) ^ [_231691, _231693] : [aElementOf0(_231693, szNzAzT0), aElementOf0(_231691, szNzAzT0), szszuzczcdt0(_231693) = szszuzczcdt0(_231691), -(_231693 = _231691)], (1569 ^ _210668) ^ [_260839] : [aElementOf0(_260839, szNzAzT0), 1572 ^ _210668 : [(1573 ^ _210668) ^ [_261059] : [aSubsetOf0(_261059, szNzAzT0), isCountable0(_261059), 1580 ^ _210668 : [(1581 ^ _210668) ^ [_261356] : [aFunction0(_261356), szDzozmdt0(_261356) = slbdtsldtrb0(_261059, _260839), aSubsetOf0(sdtlcdtrc0(_261356, szDzozmdt0(_261356)), xT), iLess0(_260839, xK), 1597 ^ _210668 : [(1601 ^ _210668) ^ [] : [-(aSubsetOf0(1599 ^ [_260839, _261059, _261356], _261059))], (1603 ^ _210668) ^ [] : [-(isCountable0(1599 ^ [_260839, _261059, _261356]))], (1605 ^ _210668) ^ [_262231] : [aElementOf0(_262231, slbdtsldtrb0(1599 ^ [_260839, _261059, _261356], _260839)), -(sdtlpdtrp0(_261356, _262231) = 1596 ^ [_260839, _261059, _261356])], (1598 ^ _210668) ^ [] : [-(aElementOf0(1596 ^ [_260839, _261059, _261356], xT))]]]]]]], (1511 ^ _210668) ^ [_258896] : [aFunction0(_258896), 1514 ^ _210668 : [(1515 ^ _210668) ^ [_259084] : [aSubsetOf0(_259084, szDzozmdt0(_258896)), isCountable0(_259084), 1526 ^ _210668 : [(1529 ^ _210668) ^ [] : [-(aElementOf0(1525 ^ [_258896, _259084], szDzozmdt0(_258896)))], (1531 ^ _210668) ^ [] : [1524 ^ [_258896, _259084] = 1525 ^ [_258896, _259084]], (1533 ^ _210668) ^ [] : [-(sdtlpdtrp0(_258896, 1524 ^ [_258896, _259084]) = sdtlpdtrp0(_258896, 1525 ^ [_258896, _259084]))], (1527 ^ _210668) ^ [] : [-(aElementOf0(1524 ^ [_258896, _259084], szDzozmdt0(_258896)))]], -(isCountable0(sdtlcdtrc0(_258896, _259084)))]]], (218 ^ _210668) ^ [_218018, _218020, _218022, _218024] : [-(sdtlpdtrp0(_218024, _218020) = sdtlpdtrp0(_218022, _218018)), _218024 = _218022, _218020 = _218018], (1677 ^ _210668) ^ [] : [-(aElementOf0(xi, szNzAzT0))], (564 ^ _210668) ^ [_228775] : [aSet0(_228775), 567 ^ _210668 : [(568 ^ _210668) ^ [_228912] : [aElementOf0(_228912, _228775), -(sdtpldt0(sdtmndt0(_228775, _228912), _228912) = _228775)]]], (630 ^ _210668) ^ [_230815] : [aElement0(_230815), 633 ^ _210668 : [(634 ^ _210668) ^ [_230952] : [-(isFinite0(sdtmndt0(_230952, _230815))), aSet0(_230952), isFinite0(_230952)]]], (648 ^ _210668) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (1553 ^ _210668) ^ [] : [-(aSet0(xT))], (426 ^ _210668) ^ [_224179, _224181] : [aSet0(_224181), aElement0(_224179), 433 ^ _210668 : [(434 ^ _210668) ^ [_224460] : [_224460 = sdtpldt0(_224181, _224179), 437 ^ _210668 : [(452 ^ _210668) ^ [_225078] : [-(aElementOf0(_225078, _224460)), aElement0(_225078), 457 ^ _210668 : [(460 ^ _210668) ^ [] : [_225078 = _224179], (458 ^ _210668) ^ [] : [aElementOf0(_225078, _224181)]]], (440 ^ _210668) ^ [_224723] : [aElementOf0(_224723, _224460), 443 ^ _210668 : [(446 ^ _210668) ^ [] : [-(aElementOf0(_224723, _224181)), -(_224723 = _224179)], (444 ^ _210668) ^ [] : [-(aElement0(_224723))]]], (438 ^ _210668) ^ [] : [-(aSet0(_224460))]]], (464 ^ _210668) ^ [_225440] : [-(_225440 = sdtpldt0(_224181, _224179)), aSet0(_225440), 472 ^ _210668 : [(475 ^ _210668) ^ [] : [aElement0(469 ^ [_224179, _224181, _225440]), 478 ^ _210668 : [(481 ^ _210668) ^ [] : [469 ^ [_224179, _224181, _225440] = _224179], (479 ^ _210668) ^ [] : [aElementOf0(469 ^ [_224179, _224181, _225440], _224181)]]], (473 ^ _210668) ^ [] : [-(aElementOf0(469 ^ [_224179, _224181, _225440], _225440))]], 482 ^ _210668 : [(485 ^ _210668) ^ [] : [-(aElementOf0(469 ^ [_224179, _224181, _225440], _224181)), -(469 ^ [_224179, _224181, _225440] = _224179)], (483 ^ _210668) ^ [] : [-(aElement0(469 ^ [_224179, _224181, _225440]))], (491 ^ _210668) ^ [] : [aElementOf0(469 ^ [_224179, _224181, _225440], _225440)]]]]], (258 ^ _210668) ^ [_219270] : [aSet0(_219270), 261 ^ _210668 : [(262 ^ _210668) ^ [_219400] : [aElementOf0(_219400, _219270), -(aElement0(_219400))]]], (98 ^ _210668) ^ [_213807, _213809, _213811, _213813] : [-(aSubsetOf0(_213811, _213807)), aSubsetOf0(_213813, _213809), _213813 = _213811, _213809 = _213807], (228 ^ _210668) ^ [_218357, _218359, _218361, _218363] : [-(slbdtsldtrb0(_218363, _218359) = slbdtsldtrb0(_218361, _218357)), _218363 = _218361, _218359 = _218357], (602 ^ _210668) ^ [_229957] : [aElement0(_229957), 605 ^ _210668 : [(606 ^ _210668) ^ [_230094] : [-(isCountable0(sdtmndt0(_230094, _229957))), aSet0(_230094), isCountable0(_230094)]]], (901 ^ _210668) ^ [_238672] : [aSet0(_238672), 904 ^ _210668 : [(905 ^ _210668) ^ [_238812] : [-(sdtlseqdt0(sbrdtbr0(_238812), sbrdtbr0(_238672))), isFinite0(_238672), aSubsetOf0(_238812, _238672)]]], (1139 ^ _210668) ^ [_246029] : [1147 ^ _210668 : [(1150 ^ _210668) ^ [] : [-(aSubsetOf0(_246029, slbdtrb0(1146 ^ [_246029])))], (1148 ^ _210668) ^ [] : [-(aElementOf0(1146 ^ [_246029], szNzAzT0))]], aSubsetOf0(_246029, szNzAzT0), isFinite0(_246029)], (1287 ^ _210668) ^ [_250787, _250789] : [aSet0(_250789), aElementOf0(_250787, szNzAzT0), 1294 ^ _210668 : [(1295 ^ _210668) ^ [_251038] : [1303 ^ _210668 : [(1308 ^ _210668) ^ [] : [-(aSubsetOf0(_251038, slbdtsldtrb0(1302 ^ [_250787, _250789, _251038], _250787)))], (1306 ^ _210668) ^ [] : [-(isFinite0(1302 ^ [_250787, _250789, _251038]))], (1304 ^ _210668) ^ [] : [-(aSubsetOf0(1302 ^ [_250787, _250789, _251038], _250789))]], aSubsetOf0(_251038, slbdtsldtrb0(_250789, _250787)), isFinite0(_251038)]]], (84 ^ _210668) ^ [_213363, _213365, _213367, _213369] : [-(sdtlseqdt0(_213367, _213363)), sdtlseqdt0(_213369, _213365), _213369 = _213367, _213365 = _213363], (4 ^ _210668) ^ [_210899, _210901] : [_210901 = _210899, -(_210899 = _210901)], (1563 ^ _210668) ^ [] : [-(aFunction0(xc))], (837 ^ _210668) ^ [_236811] : [aSet0(_236811), 840 ^ _210668 : [(847 ^ _210668) ^ [] : [isFinite0(_236811), -(aElementOf0(sbrdtbr0(_236811), szNzAzT0))], (841 ^ _210668) ^ [] : [aElementOf0(sbrdtbr0(_236811), szNzAzT0), -(isFinite0(_236811))]]], (831 ^ _210668) ^ [_236621] : [aSet0(_236621), -(aElement0(sbrdtbr0(_236621)))], (386 ^ _210668) ^ [_223104, _223106] : [aSet0(_223106), aSet0(_223104), -(_223106 = _223104), aSubsetOf0(_223106, _223104), aSubsetOf0(_223104, _223106)], (1663 ^ _210668) ^ [_264073, _264075] : [szmzizndt0(sdtlpdtrp0(xN, _264075)) = szmzizndt0(sdtlpdtrp0(xN, _264073)), aElementOf0(_264075, szNzAzT0), aElementOf0(_264073, szNzAzT0), -(_264075 = _264073)], (180 ^ _210668) ^ [_216618, _216620] : [_216620 = _216618, -(szszuzczcdt0(_216620) = szszuzczcdt0(_216618))], (1006 ^ _210668) ^ [_242055, _242057] : [-(szmzizndt0(_242057) = szmzizndt0(_242055)), aElementOf0(szmzizndt0(_242057), _242055), aElementOf0(szmzizndt0(_242055), _242057), aSubsetOf0(_242057, szNzAzT0), aSubsetOf0(_242055, szNzAzT0), -(_242057 = slcrc0), -(_242055 = slcrc0)], (64 ^ _210668) ^ [_212745, _212747] : [-(aFunction0(_212745)), _212747 = _212745, aFunction0(_212747)], (1683 ^ _210668) ^ [] : [-(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS))], (196 ^ _210668) ^ [_217195, _217197] : [_217197 = _217195, -(sbrdtbr0(_217197) = sbrdtbr0(_217195))], (1625 ^ _210668) ^ [_262895] : [aElementOf0(_262895, szNzAzT0), 1636 ^ _210668 : [(1639 ^ _210668) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(_262895))))], (1637 ^ _210668) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(_262895)), sdtmndt0(sdtlpdtrp0(xN, _262895), szmzizndt0(sdtlpdtrp0(xN, _262895)))))]], aSubsetOf0(sdtlpdtrp0(xN, _262895), szNzAzT0), isCountable0(sdtlpdtrp0(xN, _262895))], (807 ^ _210668) ^ [_235977, _235979] : [aElementOf0(_235979, szNzAzT0), aElementOf0(_235977, szNzAzT0), iLess0(_235979, _235977), true___, -(true___)], (1215 ^ _210668) ^ [_248597] : [aSet0(_248597), isFinite0(_248597), 1222 ^ _210668 : [(1223 ^ _210668) ^ [_248813] : [aElementOf0(_248813, szNzAzT0), -(isFinite0(slbdtsldtrb0(_248597, _248813)))]]], (290 ^ _210668) ^ [_220220] : [-(_220220 = slcrc0), aSet0(_220220), -(aElementOf0(295 ^ [_220220], _220220))], (1641 ^ _210668) ^ [_263384] : [aElementOf0(_263384, szNzAzT0), 1644 ^ _210668 : [(1647 ^ _210668) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, _263384)))], (1645 ^ _210668) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, _263384), szNzAzT0))]]], (650 ^ _210668) ^ [_231405] : [aElementOf0(_231405, szNzAzT0), 653 ^ _210668 : [(656 ^ _210668) ^ [] : [szszuzczcdt0(_231405) = sz00], (654 ^ _210668) ^ [] : [-(aElementOf0(szszuzczcdt0(_231405), szNzAzT0))]]], (915 ^ _210668) ^ [_239124, _239126] : [aSet0(_239126), aElementOf0(_239124, szNzAzT0), 931 ^ _210668 : [(934 ^ _210668) ^ [] : [-(sbrdtbr0(930 ^ [_239124, _239126]) = _239124)], (932 ^ _210668) ^ [] : [-(aSubsetOf0(930 ^ [_239124, _239126], _239126))]], isFinite0(_239126), sdtlseqdt0(_239124, sbrdtbr0(_239126))], (715 ^ _210668) ^ [_233341] : [aElementOf0(_233341, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_233341), sz00)], (1336 ^ _210668) ^ [_252405, _252407] : [aFunction0(_252407), aElement0(_252405), 1343 ^ _210668 : [(1344 ^ _210668) ^ [_252686] : [_252686 = sdtlbdtrb0(_252407, _252405), 1347 ^ _210668 : [(1358 ^ _210668) ^ [_253218] : [-(aElementOf0(_253218, _252686)), aElementOf0(_253218, szDzozmdt0(_252407)), sdtlpdtrp0(_252407, _253218) = _252405], (1350 ^ _210668) ^ [_252949] : [aElementOf0(_252949, _252686), 1353 ^ _210668 : [(1356 ^ _210668) ^ [] : [-(sdtlpdtrp0(_252407, _252949) = _252405)], (1354 ^ _210668) ^ [] : [-(aElementOf0(_252949, szDzozmdt0(_252407)))]]], (1348 ^ _210668) ^ [] : [-(aSet0(_252686))]]], (1368 ^ _210668) ^ [_253514] : [-(_253514 = sdtlbdtrb0(_252407, _252405)), aSet0(_253514), 1384 ^ _210668 : [(1389 ^ _210668) ^ [] : [aElementOf0(1373 ^ [_252405, _252407, _253514], _253514)], (1387 ^ _210668) ^ [] : [-(sdtlpdtrp0(_252407, 1373 ^ [_252405, _252407, _253514]) = _252405)], (1385 ^ _210668) ^ [] : [-(aElementOf0(1373 ^ [_252405, _252407, _253514], szDzozmdt0(_252407)))]], 1376 ^ _210668 : [(1379 ^ _210668) ^ [] : [aElementOf0(1373 ^ [_252405, _252407, _253514], szDzozmdt0(_252407)), sdtlpdtrp0(_252407, 1373 ^ [_252405, _252407, _253514]) = _252405], (1377 ^ _210668) ^ [] : [-(aElementOf0(1373 ^ [_252405, _252407, _253514], _253514))]]]]], (1555 ^ _210668) ^ [] : [-(isFinite0(xT))], (1243 ^ _210668) ^ [_249456] : [aSet0(_249456), isCountable0(_249456), 1250 ^ _210668 : [(1251 ^ _210668) ^ [_249680] : [-(isCountable0(slbdtsldtrb0(_249456, _249680))), aElementOf0(_249680, szNzAzT0), -(_249680 = sz00)]]], (174 ^ _210668) ^ [_216400, _216402] : [_216402 = _216400, -(szDzozmdt0(_216402) = szDzozmdt0(_216400))], (1611 ^ _210668) ^ [] : [xK = sz00], (2 ^ _210668) ^ [_210792] : [-(_210792 = _210792)], (1320 ^ _210668) ^ [_251855] : [aFunction0(_251855), -(aSet0(szDzozmdt0(_251855)))], (588 ^ _210668) ^ [_229528] : [aElement0(_229528), 591 ^ _210668 : [(592 ^ _210668) ^ [_229665] : [-(isCountable0(sdtpldt0(_229665, _229528))), aSet0(_229665), isCountable0(_229665)]]], (337 ^ _210668) ^ [_221485] : [aSet0(_221485), 340 ^ _210668 : [(353 ^ _210668) ^ [_222049] : [-(aSubsetOf0(_222049, _221485)), aSet0(_222049), 359 ^ _210668 : [(362 ^ _210668) ^ [] : [aElementOf0(358 ^ [_221485, _222049], _221485)], (360 ^ _210668) ^ [] : [-(aElementOf0(358 ^ [_221485, _222049], _222049))]]], (341 ^ _210668) ^ [_221661] : [aSubsetOf0(_221661, _221485), 344 ^ _210668 : [(347 ^ _210668) ^ [_221870] : [aElementOf0(_221870, _221661), -(aElementOf0(_221870, _221485))], (345 ^ _210668) ^ [] : [-(aSet0(_221661))]]]]], (771 ^ _210668) ^ [_234990, _234992, _234994] : [aElementOf0(_234994, szNzAzT0), aElementOf0(_234992, szNzAzT0), aElementOf0(_234990, szNzAzT0), -(sdtlseqdt0(_234994, _234990)), sdtlseqdt0(_234994, _234992), sdtlseqdt0(_234992, _234990)], (1032 ^ _210668) ^ [_242722] : [aElementOf0(_242722, szNzAzT0), 1035 ^ _210668 : [(1036 ^ _210668) ^ [_242910] : [_242910 = slbdtrb0(_242722), 1039 ^ _210668 : [(1050 ^ _210668) ^ [_243413] : [-(aElementOf0(_243413, _242910)), aElementOf0(_243413, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_243413), _242722)], (1042 ^ _210668) ^ [_243160] : [aElementOf0(_243160, _242910), 1045 ^ _210668 : [(1048 ^ _210668) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_243160), _242722))], (1046 ^ _210668) ^ [] : [-(aElementOf0(_243160, szNzAzT0))]]], (1040 ^ _210668) ^ [] : [-(aSet0(_242910))]]], (1060 ^ _210668) ^ [_243691] : [-(_243691 = slbdtrb0(_242722)), aSet0(_243691), 1076 ^ _210668 : [(1081 ^ _210668) ^ [] : [aElementOf0(1065 ^ [_242722, _243691], _243691)], (1079 ^ _210668) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1065 ^ [_242722, _243691]), _242722))], (1077 ^ _210668) ^ [] : [-(aElementOf0(1065 ^ [_242722, _243691], szNzAzT0))]], 1068 ^ _210668 : [(1071 ^ _210668) ^ [] : [aElementOf0(1065 ^ [_242722, _243691], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1065 ^ [_242722, _243691]), _242722)], (1069 ^ _210668) ^ [] : [-(aElementOf0(1065 ^ [_242722, _243691], _243691))]]]]], (1619 ^ _210668) ^ [] : [-(aFunction0(xN))], (238 ^ _210668) ^ [_218760] : [aSet0(_218760), true___, -(true___)], (936 ^ _210668) ^ [_239740] : [aSubsetOf0(_239740, szNzAzT0), -(_239740 = slcrc0), 943 ^ _210668 : [(956 ^ _210668) ^ [_240403] : [-(_240403 = szmzizndt0(_239740)), aElementOf0(_240403, _239740), 962 ^ _210668 : [(965 ^ _210668) ^ [] : [sdtlseqdt0(_240403, 961 ^ [_239740, _240403])], (963 ^ _210668) ^ [] : [-(aElementOf0(961 ^ [_239740, _240403], _239740))]]], (944 ^ _210668) ^ [_240009] : [_240009 = szmzizndt0(_239740), 947 ^ _210668 : [(950 ^ _210668) ^ [_240224] : [aElementOf0(_240224, _239740), -(sdtlseqdt0(_240009, _240224))], (948 ^ _210668) ^ [] : [-(aElementOf0(_240009, _239740))]]]]], (853 ^ _210668) ^ [_237242] : [aSet0(_237242), 856 ^ _210668 : [(863 ^ _210668) ^ [] : [_237242 = slcrc0, -(sbrdtbr0(_237242) = sz00)], (857 ^ _210668) ^ [] : [sbrdtbr0(_237242) = sz00, -(_237242 = slcrc0)]]], (186 ^ _210668) ^ [_216864, _216866, _216868, _216870] : [-(sdtmndt0(_216870, _216866) = sdtmndt0(_216868, _216864)), _216870 = _216868, _216866 = _216864], (1557 ^ _210668) ^ [] : [-(aElementOf0(xK, szNzAzT0))], (1472 ^ _210668) ^ [_257412] : [aFunction0(_257412), 1475 ^ _210668 : [(1476 ^ _210668) ^ [_257589] : [aSubsetOf0(_257589, szDzozmdt0(_257412)), 1479 ^ _210668 : [(1494 ^ _210668) ^ [_258302] : [-(_258302 = sdtexdt0(_257412, _257589)), aFunction0(_258302), szDzozmdt0(_258302) = _257589, 1504 ^ _210668 : [(1507 ^ _210668) ^ [] : [sdtlpdtrp0(_258302, 1503 ^ [_257412, _257589, _258302]) = sdtlpdtrp0(_257412, 1503 ^ [_257412, _257589, _258302])], (1505 ^ _210668) ^ [] : [-(aElementOf0(1503 ^ [_257412, _257589, _258302], _257589))]]], (1480 ^ _210668) ^ [_257794] : [_257794 = sdtexdt0(_257412, _257589), 1483 ^ _210668 : [(1488 ^ _210668) ^ [_258101] : [aElementOf0(_258101, _257589), -(sdtlpdtrp0(_257794, _258101) = sdtlpdtrp0(_257412, _258101))], (1486 ^ _210668) ^ [] : [-(szDzozmdt0(_257794) = _257589)], (1484 ^ _210668) ^ [] : [-(aFunction0(_257794))]]]]]]], (1621 ^ _210668) ^ [] : [-(szDzozmdt0(xN) = szNzAzT0)], (1093 ^ _210668) ^ [_244753, _244755] : [aElementOf0(_244755, szNzAzT0), aElementOf0(_244753, szNzAzT0), 1100 ^ _210668 : [(1101 ^ _210668) ^ [] : [aElementOf0(_244755, slbdtrb0(szszuzczcdt0(_244753))), -(aElementOf0(_244755, slbdtrb0(_244753))), -(_244755 = _244753)], (1111 ^ _210668) ^ [] : [1112 ^ _210668 : [(1115 ^ _210668) ^ [] : [_244755 = _244753], (1113 ^ _210668) ^ [] : [aElementOf0(_244755, slbdtrb0(_244753))]], -(aElementOf0(_244755, slbdtrb0(szszuzczcdt0(_244753))))]]]], input).
% 43.15/42.74 ncf('1',plain,[aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))],start(1685 ^ 0)).
% 43.15/42.74 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))), 1180 : aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS), 1180 : sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK, 1180 : slbdtsldtrb0(xS, xK) = slbdtsldtrb0(xS, xK), 1166 : aSet0(xS), 1166 : aElementOf0(xK, szNzAzT0)],extension(1158 ^ 1,bind([[_246655, _246657, _246935, _247458], [xK, xS, slbdtsldtrb0(xS, xK), sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))]]))).
% 43.15/42.74 ncf('1.1.1',plain,[-(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS))],extension(1683 ^ 6)).
% 43.15/42.74 ncf('1.1.2',plain,[-(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)],extension(1681 ^ 6)).
% 43.15/42.74 ncf('1.1.3',plain,[-(slbdtsldtrb0(xS, xK) = slbdtsldtrb0(xS, xK))],extension(2 ^ 4,bind([[_210792], [slbdtsldtrb0(xS, xK)]]))).
% 43.15/42.74 ncf('1.1.4',plain,[-(aSet0(xS)), 341 : aSubsetOf0(xS, szNzAzT0), 341 : aSet0(szNzAzT0)],extension(337 ^ 2,bind([[_221485, _221661], [szNzAzT0, xS]]))).
% 43.15/42.74 ncf('1.1.4.1',plain,[-(aSubsetOf0(xS, szNzAzT0))],extension(1559 ^ 5)).
% 43.15/42.74 ncf('1.1.4.2',plain,[-(aSet0(szNzAzT0))],extension(644 ^ 3)).
% 43.15/42.74 ncf('1.1.5',plain,[-(aElementOf0(xK, szNzAzT0))],extension(1557 ^ 2)).
% 43.15/42.74 %-----------------------------------------------------
% 43.15/42.74 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------