TSTP Solution File: NUM582+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:45:03 EDT 2023
% Result : Theorem 111.36s 107.86s
% Output : Proof 111.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM582+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n001.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 : Thu May 18 17:52:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 111.36/107.86
% 111.36/107.86 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 111.36/107.86 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 111.36/107.86 %-----------------------------------------------------
% 111.36/107.86 ncf(matrix, plain, [(1683 ^ _197263) ^ [] : [aSubsetOf0(sdtlpdtrp0(xN, xi), xS)], (126 ^ _197263) ^ [_201284, _201286] : [_201286 = _201284, -(szmzazxdt0(_201286) = szmzazxdt0(_201284))], (132 ^ _197263) ^ [_201502, _201504] : [_201504 = _201502, -(slbdtrb0(_201504) = slbdtrb0(_201502))], (138 ^ _197263) ^ [_201748, _201750, _201752, _201754] : [-(sdtexdt0(_201754, _201750) = sdtexdt0(_201752, _201748)), _201754 = _201752, _201750 = _201748], (148 ^ _197263) ^ [_202107, _202109, _202111, _202113] : [-(sdtlbdtrb0(_202113, _202109) = sdtlbdtrb0(_202111, _202107)), _202113 = _202111, _202109 = _202107], (158 ^ _197263) ^ [_202438, _202440] : [_202440 = _202438, -(szDzizrdt0(_202440) = szDzizrdt0(_202438))], (164 ^ _197263) ^ [_202684, _202686, _202688, _202690] : [-(sdtlcdtrc0(_202690, _202686) = sdtlcdtrc0(_202688, _202684)), _202690 = _202688, _202686 = _202684], (174 ^ _197263) ^ [_203015, _203017] : [_203017 = _203015, -(szDzozmdt0(_203017) = szDzozmdt0(_203015))], (180 ^ _197263) ^ [_203233, _203235] : [_203235 = _203233, -(szszuzczcdt0(_203235) = szszuzczcdt0(_203233))], (186 ^ _197263) ^ [_203479, _203481, _203483, _203485] : [-(slbdtsldtrb0(_203485, _203481) = slbdtsldtrb0(_203483, _203479)), _203485 = _203483, _203481 = _203479], (196 ^ _197263) ^ [_203838, _203840, _203842, _203844] : [-(sdtmndt0(_203844, _203840) = sdtmndt0(_203842, _203838)), _203844 = _203842, _203840 = _203838], (206 ^ _197263) ^ [_204169, _204171] : [_204171 = _204169, -(sbrdtbr0(_204171) = sbrdtbr0(_204169))], (212 ^ _197263) ^ [_204415, _204417, _204419, _204421] : [-(sdtpldt0(_204421, _204417) = sdtpldt0(_204419, _204415)), _204421 = _204419, _204417 = _204415], (222 ^ _197263) ^ [_204746, _204748] : [_204748 = _204746, -(szmzizndt0(_204748) = szmzizndt0(_204746))], (228 ^ _197263) ^ [_204972, _204974, _204976, _204978] : [-(sdtlpdtrp0(_204978, _204974) = sdtlpdtrp0(_204976, _204972)), _204978 = _204976, _204974 = _204972], (2 ^ _197263) ^ [_197407] : [-(_197407 = _197407)], (4 ^ _197263) ^ [_197514, _197516] : [_197516 = _197514, -(_197514 = _197516)], (10 ^ _197263) ^ [_197718, _197720, _197722] : [-(_197722 = _197718), _197722 = _197720, _197720 = _197718], (20 ^ _197263) ^ [_198031, _198033] : [-(aElement0(_198031)), _198033 = _198031, aElement0(_198033)], (30 ^ _197263) ^ [_198326, _198328] : [-(aSet0(_198326)), _198328 = _198326, aSet0(_198328)], (40 ^ _197263) ^ [_198621, _198623] : [-(isFinite0(_198621)), _198623 = _198621, isFinite0(_198623)], (50 ^ _197263) ^ [_198944, _198946, _198948, _198950] : [-(iLess0(_198948, _198944)), iLess0(_198950, _198946), _198950 = _198948, _198946 = _198944], (64 ^ _197263) ^ [_199360, _199362] : [-(aFunction0(_199360)), _199362 = _199360, aFunction0(_199362)], (74 ^ _197263) ^ [_199655, _199657] : [-(isCountable0(_199655)), _199657 = _199655, isCountable0(_199657)], (84 ^ _197263) ^ [_199978, _199980, _199982, _199984] : [-(sdtlseqdt0(_199982, _199978)), sdtlseqdt0(_199984, _199980), _199984 = _199982, _199980 = _199978], (98 ^ _197263) ^ [_200422, _200424, _200426, _200428] : [-(aElementOf0(_200426, _200422)), aElementOf0(_200428, _200424), _200428 = _200426, _200424 = _200422], (112 ^ _197263) ^ [_200846, _200848, _200850, _200852] : [-(aSubsetOf0(_200850, _200846)), aSubsetOf0(_200852, _200848), _200852 = _200850, _200848 = _200846], (238 ^ _197263) ^ [_205375] : [aSet0(_205375), true___, -(true___)], (248 ^ _197263) ^ [_205630] : [aElement0(_205630), true___, -(true___)], (258 ^ _197263) ^ [_205885] : [aSet0(_205885), 261 ^ _197263 : [(262 ^ _197263) ^ [_206015] : [aElementOf0(_206015, _205885), -(aElement0(_206015))]]], (268 ^ _197263) ^ [_206216] : [aSet0(_206216), isFinite0(_206216), true___, -(true___)], (282 ^ _197263) ^ [_206586] : [_206586 = slcrc0, 285 ^ _197263 : [(286 ^ _197263) ^ [] : [-(aSet0(_206586))], (288 ^ _197263) ^ [_206767] : [aElementOf0(_206767, _206586)]]], (290 ^ _197263) ^ [_206835] : [-(_206835 = slcrc0), aSet0(_206835), -(aElementOf0(295 ^ [_206835], _206835))], (301 ^ _197263) ^ [] : [-(isFinite0(slcrc0))], (303 ^ _197263) ^ [_207217] : [aSet0(_207217), isCountable0(_207217), true___, -(true___)], (317 ^ _197263) ^ [_207558] : [isFinite0(_207558), aSet0(_207558), isCountable0(_207558)], (327 ^ _197263) ^ [_207828] : [_207828 = slcrc0, aSet0(_207828), isCountable0(_207828)], (337 ^ _197263) ^ [_208100] : [aSet0(_208100), 340 ^ _197263 : [(341 ^ _197263) ^ [_208276] : [aSubsetOf0(_208276, _208100), 344 ^ _197263 : [(345 ^ _197263) ^ [] : [-(aSet0(_208276))], (347 ^ _197263) ^ [_208485] : [aElementOf0(_208485, _208276), -(aElementOf0(_208485, _208100))]]], (353 ^ _197263) ^ [_208664] : [-(aSubsetOf0(_208664, _208100)), aSet0(_208664), 359 ^ _197263 : [(360 ^ _197263) ^ [] : [-(aElementOf0(358 ^ [_208100, _208664], _208664))], (362 ^ _197263) ^ [] : [aElementOf0(358 ^ [_208100, _208664], _208100)]]]]], (366 ^ _197263) ^ [_209101] : [aSet0(_209101), isFinite0(_209101), 373 ^ _197263 : [(374 ^ _197263) ^ [_209314] : [aSubsetOf0(_209314, _209101), -(isFinite0(_209314))]]], (380 ^ _197263) ^ [_209517] : [aSet0(_209517), -(aSubsetOf0(_209517, _209517))], (386 ^ _197263) ^ [_209719, _209721] : [aSet0(_209721), aSet0(_209719), -(_209721 = _209719), aSubsetOf0(_209721, _209719), aSubsetOf0(_209719, _209721)], (404 ^ _197263) ^ [_210208, _210210, _210212] : [aSet0(_210212), aSet0(_210210), aSet0(_210208), -(aSubsetOf0(_210212, _210208)), aSubsetOf0(_210212, _210210), aSubsetOf0(_210210, _210208)], (426 ^ _197263) ^ [_210794, _210796] : [aSet0(_210796), aElement0(_210794), 433 ^ _197263 : [(464 ^ _197263) ^ [_212055] : [-(_212055 = sdtpldt0(_210796, _210794)), aSet0(_212055), 472 ^ _197263 : [(473 ^ _197263) ^ [] : [-(aElementOf0(469 ^ [_210794, _210796, _212055], _212055))], (475 ^ _197263) ^ [] : [aElement0(469 ^ [_210794, _210796, _212055]), 478 ^ _197263 : [(479 ^ _197263) ^ [] : [aElementOf0(469 ^ [_210794, _210796, _212055], _210796)], (481 ^ _197263) ^ [] : [469 ^ [_210794, _210796, _212055] = _210794]]]], 482 ^ _197263 : [(491 ^ _197263) ^ [] : [aElementOf0(469 ^ [_210794, _210796, _212055], _212055)], (483 ^ _197263) ^ [] : [-(aElement0(469 ^ [_210794, _210796, _212055]))], (485 ^ _197263) ^ [] : [-(aElementOf0(469 ^ [_210794, _210796, _212055], _210796)), -(469 ^ [_210794, _210796, _212055] = _210794)]]], (434 ^ _197263) ^ [_211075] : [_211075 = sdtpldt0(_210796, _210794), 437 ^ _197263 : [(438 ^ _197263) ^ [] : [-(aSet0(_211075))], (440 ^ _197263) ^ [_211338] : [aElementOf0(_211338, _211075), 443 ^ _197263 : [(444 ^ _197263) ^ [] : [-(aElement0(_211338))], (446 ^ _197263) ^ [] : [-(aElementOf0(_211338, _210796)), -(_211338 = _210794)]]], (452 ^ _197263) ^ [_211693] : [-(aElementOf0(_211693, _211075)), aElement0(_211693), 457 ^ _197263 : [(458 ^ _197263) ^ [] : [aElementOf0(_211693, _210796)], (460 ^ _197263) ^ [] : [_211693 = _210794]]]]]]], (495 ^ _197263) ^ [_213092, _213094] : [aSet0(_213094), aElement0(_213092), 502 ^ _197263 : [(533 ^ _197263) ^ [_214360] : [-(_214360 = sdtmndt0(_213094, _213092)), aSet0(_214360), 553 ^ _197263 : [(554 ^ _197263) ^ [] : [-(aElement0(538 ^ [_213092, _213094, _214360]))], (556 ^ _197263) ^ [] : [-(aElementOf0(538 ^ [_213092, _213094, _214360], _213094))], (558 ^ _197263) ^ [] : [538 ^ [_213092, _213094, _214360] = _213092], (560 ^ _197263) ^ [] : [aElementOf0(538 ^ [_213092, _213094, _214360], _214360)]], 541 ^ _197263 : [(542 ^ _197263) ^ [] : [-(aElementOf0(538 ^ [_213092, _213094, _214360], _214360))], (544 ^ _197263) ^ [] : [aElement0(538 ^ [_213092, _213094, _214360]), aElementOf0(538 ^ [_213092, _213094, _214360], _213094), -(538 ^ [_213092, _213094, _214360] = _213092)]]], (503 ^ _197263) ^ [_213375] : [_213375 = sdtmndt0(_213094, _213092), 506 ^ _197263 : [(507 ^ _197263) ^ [] : [-(aSet0(_213375))], (509 ^ _197263) ^ [_213640] : [aElementOf0(_213640, _213375), 512 ^ _197263 : [(513 ^ _197263) ^ [] : [-(aElement0(_213640))], (515 ^ _197263) ^ [] : [-(aElementOf0(_213640, _213094))], (517 ^ _197263) ^ [] : [_213640 = _213092]]], (519 ^ _197263) ^ [_213976] : [-(aElementOf0(_213976, _213375)), aElement0(_213976), aElementOf0(_213976, _213094), -(_213976 = _213092)]]]]], (564 ^ _197263) ^ [_215390] : [aSet0(_215390), 567 ^ _197263 : [(568 ^ _197263) ^ [_215527] : [aElementOf0(_215527, _215390), -(sdtpldt0(sdtmndt0(_215390, _215527), _215527) = _215390)]]], (574 ^ _197263) ^ [_215756, _215758] : [aElement0(_215758), aSet0(_215756), -(aElementOf0(_215758, _215756)), -(sdtmndt0(sdtpldt0(_215756, _215758), _215758) = _215756)], (588 ^ _197263) ^ [_216143] : [aElement0(_216143), 591 ^ _197263 : [(592 ^ _197263) ^ [_216280] : [-(isCountable0(sdtpldt0(_216280, _216143))), aSet0(_216280), isCountable0(_216280)]]], (602 ^ _197263) ^ [_216572] : [aElement0(_216572), 605 ^ _197263 : [(606 ^ _197263) ^ [_216709] : [-(isCountable0(sdtmndt0(_216709, _216572))), aSet0(_216709), isCountable0(_216709)]]], (616 ^ _197263) ^ [_217001] : [aElement0(_217001), 619 ^ _197263 : [(620 ^ _197263) ^ [_217138] : [-(isFinite0(sdtpldt0(_217138, _217001))), aSet0(_217138), isFinite0(_217138)]]], (630 ^ _197263) ^ [_217430] : [aElement0(_217430), 633 ^ _197263 : [(634 ^ _197263) ^ [_217567] : [-(isFinite0(sdtmndt0(_217567, _217430))), aSet0(_217567), isFinite0(_217567)]]], (644 ^ _197263) ^ [] : [-(aSet0(szNzAzT0))], (646 ^ _197263) ^ [] : [-(isCountable0(szNzAzT0))], (648 ^ _197263) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (650 ^ _197263) ^ [_218020] : [aElementOf0(_218020, szNzAzT0), 653 ^ _197263 : [(654 ^ _197263) ^ [] : [-(aElementOf0(szszuzczcdt0(_218020), szNzAzT0))], (656 ^ _197263) ^ [] : [szszuzczcdt0(_218020) = sz00]]], (658 ^ _197263) ^ [_218306, _218308] : [aElementOf0(_218308, szNzAzT0), aElementOf0(_218306, szNzAzT0), szszuzczcdt0(_218308) = szszuzczcdt0(_218306), -(_218308 = _218306)], (672 ^ _197263) ^ [_218690] : [aElementOf0(_218690, szNzAzT0), -(_218690 = sz00), 680 ^ _197263 : [(681 ^ _197263) ^ [] : [-(aElementOf0(679 ^ [_218690], szNzAzT0))], (683 ^ _197263) ^ [] : [-(_218690 = szszuzczcdt0(679 ^ [_218690]))]]], (685 ^ _197263) ^ [_219107] : [aElementOf0(_219107, szNzAzT0), _219107 = szszuzczcdt0(_219107)], (691 ^ _197263) ^ [_219316, _219318] : [aElementOf0(_219318, szNzAzT0), aElementOf0(_219316, szNzAzT0), sdtlseqdt0(_219318, _219316), true___, -(true___)], (709 ^ _197263) ^ [_219766] : [aElementOf0(_219766, szNzAzT0), -(sdtlseqdt0(sz00, _219766))], (715 ^ _197263) ^ [_219956] : [aElementOf0(_219956, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_219956), sz00)], (721 ^ _197263) ^ [_220165, _220167] : [aElementOf0(_220167, szNzAzT0), aElementOf0(_220165, szNzAzT0), 728 ^ _197263 : [(729 ^ _197263) ^ [] : [sdtlseqdt0(_220167, _220165), -(sdtlseqdt0(szszuzczcdt0(_220167), szszuzczcdt0(_220165)))], (735 ^ _197263) ^ [] : [sdtlseqdt0(szszuzczcdt0(_220167), szszuzczcdt0(_220165)), -(sdtlseqdt0(_220167, _220165))]]], (741 ^ _197263) ^ [_220714] : [aElementOf0(_220714, szNzAzT0), -(sdtlseqdt0(_220714, szszuzczcdt0(_220714)))], (747 ^ _197263) ^ [_220908] : [aElementOf0(_220908, szNzAzT0), -(sdtlseqdt0(_220908, _220908))], (753 ^ _197263) ^ [_221112, _221114] : [aElementOf0(_221114, szNzAzT0), aElementOf0(_221112, szNzAzT0), -(_221114 = _221112), sdtlseqdt0(_221114, _221112), sdtlseqdt0(_221112, _221114)], (771 ^ _197263) ^ [_221605, _221607, _221609] : [aElementOf0(_221609, szNzAzT0), aElementOf0(_221607, szNzAzT0), aElementOf0(_221605, szNzAzT0), -(sdtlseqdt0(_221609, _221605)), sdtlseqdt0(_221609, _221607), sdtlseqdt0(_221607, _221605)], (793 ^ _197263) ^ [_222197, _222199] : [aElementOf0(_222199, szNzAzT0), aElementOf0(_222197, szNzAzT0), -(sdtlseqdt0(_222199, _222197)), -(sdtlseqdt0(szszuzczcdt0(_222197), _222199))], (807 ^ _197263) ^ [_222592, _222594] : [aElementOf0(_222594, szNzAzT0), aElementOf0(_222592, szNzAzT0), iLess0(_222594, _222592), true___, -(true___)], (825 ^ _197263) ^ [_223042] : [aElementOf0(_223042, szNzAzT0), -(iLess0(_223042, szszuzczcdt0(_223042)))], (831 ^ _197263) ^ [_223236] : [aSet0(_223236), -(aElement0(sbrdtbr0(_223236)))], (837 ^ _197263) ^ [_223426] : [aSet0(_223426), 840 ^ _197263 : [(841 ^ _197263) ^ [] : [aElementOf0(sbrdtbr0(_223426), szNzAzT0), -(isFinite0(_223426))], (847 ^ _197263) ^ [] : [isFinite0(_223426), -(aElementOf0(sbrdtbr0(_223426), szNzAzT0))]]], (853 ^ _197263) ^ [_223857] : [aSet0(_223857), 856 ^ _197263 : [(857 ^ _197263) ^ [] : [sbrdtbr0(_223857) = sz00, -(_223857 = slcrc0)], (863 ^ _197263) ^ [] : [_223857 = slcrc0, -(sbrdtbr0(_223857) = sz00)]]], (869 ^ _197263) ^ [_224291] : [aSet0(_224291), isFinite0(_224291), 876 ^ _197263 : [(877 ^ _197263) ^ [_224521] : [aElement0(_224521), -(aElementOf0(_224521, _224291)), -(sbrdtbr0(sdtpldt0(_224291, _224521)) = szszuzczcdt0(sbrdtbr0(_224291)))]]], (887 ^ _197263) ^ [_224834] : [aSet0(_224834), 890 ^ _197263 : [(891 ^ _197263) ^ [_224979] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_224834, _224979))) = sbrdtbr0(_224834)), isFinite0(_224834), aElementOf0(_224979, _224834)]]], (901 ^ _197263) ^ [_225287] : [aSet0(_225287), 904 ^ _197263 : [(905 ^ _197263) ^ [_225427] : [-(sdtlseqdt0(sbrdtbr0(_225427), sbrdtbr0(_225287))), isFinite0(_225287), aSubsetOf0(_225427, _225287)]]], (915 ^ _197263) ^ [_225739, _225741] : [aSet0(_225741), aElementOf0(_225739, szNzAzT0), 931 ^ _197263 : [(932 ^ _197263) ^ [] : [-(aSubsetOf0(930 ^ [_225739, _225741], _225741))], (934 ^ _197263) ^ [] : [-(sbrdtbr0(930 ^ [_225739, _225741]) = _225739)]], isFinite0(_225741), sdtlseqdt0(_225739, sbrdtbr0(_225741))], (936 ^ _197263) ^ [_226355] : [aSubsetOf0(_226355, szNzAzT0), -(_226355 = slcrc0), 943 ^ _197263 : [(944 ^ _197263) ^ [_226624] : [_226624 = szmzizndt0(_226355), 947 ^ _197263 : [(948 ^ _197263) ^ [] : [-(aElementOf0(_226624, _226355))], (950 ^ _197263) ^ [_226839] : [aElementOf0(_226839, _226355), -(sdtlseqdt0(_226624, _226839))]]], (956 ^ _197263) ^ [_227018] : [-(_227018 = szmzizndt0(_226355)), aElementOf0(_227018, _226355), 962 ^ _197263 : [(963 ^ _197263) ^ [] : [-(aElementOf0(961 ^ [_226355, _227018], _226355))], (965 ^ _197263) ^ [] : [sdtlseqdt0(_227018, 961 ^ [_226355, _227018])]]]]], (969 ^ _197263) ^ [_227463] : [aSubsetOf0(_227463, szNzAzT0), isFinite0(_227463), -(_227463 = slcrc0), 980 ^ _197263 : [(981 ^ _197263) ^ [_227815] : [_227815 = szmzazxdt0(_227463), 984 ^ _197263 : [(985 ^ _197263) ^ [] : [-(aElementOf0(_227815, _227463))], (987 ^ _197263) ^ [_228030] : [aElementOf0(_228030, _227463), -(sdtlseqdt0(_228030, _227815))]]], (993 ^ _197263) ^ [_228209] : [-(_228209 = szmzazxdt0(_227463)), aElementOf0(_228209, _227463), 999 ^ _197263 : [(1000 ^ _197263) ^ [] : [-(aElementOf0(998 ^ [_227463, _228209], _227463))], (1002 ^ _197263) ^ [] : [sdtlseqdt0(998 ^ [_227463, _228209], _228209)]]]]], (1006 ^ _197263) ^ [_228670, _228672] : [-(szmzizndt0(_228672) = szmzizndt0(_228670)), aElementOf0(szmzizndt0(_228672), _228670), aElementOf0(szmzizndt0(_228670), _228672), aSubsetOf0(_228672, szNzAzT0), aSubsetOf0(_228670, szNzAzT0), -(_228672 = slcrc0), -(_228670 = slcrc0)], (1032 ^ _197263) ^ [_229337] : [aElementOf0(_229337, szNzAzT0), 1035 ^ _197263 : [(1060 ^ _197263) ^ [_230306] : [-(_230306 = slbdtrb0(_229337)), aSet0(_230306), 1076 ^ _197263 : [(1077 ^ _197263) ^ [] : [-(aElementOf0(1065 ^ [_229337, _230306], szNzAzT0))], (1079 ^ _197263) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1065 ^ [_229337, _230306]), _229337))], (1081 ^ _197263) ^ [] : [aElementOf0(1065 ^ [_229337, _230306], _230306)]], 1068 ^ _197263 : [(1069 ^ _197263) ^ [] : [-(aElementOf0(1065 ^ [_229337, _230306], _230306))], (1071 ^ _197263) ^ [] : [aElementOf0(1065 ^ [_229337, _230306], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1065 ^ [_229337, _230306]), _229337)]]], (1036 ^ _197263) ^ [_229525] : [_229525 = slbdtrb0(_229337), 1039 ^ _197263 : [(1040 ^ _197263) ^ [] : [-(aSet0(_229525))], (1042 ^ _197263) ^ [_229775] : [aElementOf0(_229775, _229525), 1045 ^ _197263 : [(1046 ^ _197263) ^ [] : [-(aElementOf0(_229775, szNzAzT0))], (1048 ^ _197263) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_229775), _229337))]]], (1050 ^ _197263) ^ [_230028] : [-(aElementOf0(_230028, _229525)), aElementOf0(_230028, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_230028), _229337)]]]]], (1085 ^ _197263) ^ [_231109] : [aElementOf0(_231109, szNzAzT0), -(isFinite0(slbdtrb0(_231109)))], (1091 ^ _197263) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1093 ^ _197263) ^ [_231368, _231370] : [aElementOf0(_231370, szNzAzT0), aElementOf0(_231368, szNzAzT0), 1100 ^ _197263 : [(1111 ^ _197263) ^ [] : [1112 ^ _197263 : [(1113 ^ _197263) ^ [] : [aElementOf0(_231370, slbdtrb0(_231368))], (1115 ^ _197263) ^ [] : [_231370 = _231368]], -(aElementOf0(_231370, slbdtrb0(szszuzczcdt0(_231368))))], (1101 ^ _197263) ^ [] : [aElementOf0(_231370, slbdtrb0(szszuzczcdt0(_231368))), -(aElementOf0(_231370, slbdtrb0(_231368))), -(_231370 = _231368)]]], (1119 ^ _197263) ^ [_232095, _232097] : [aElementOf0(_232097, szNzAzT0), aElementOf0(_232095, szNzAzT0), 1126 ^ _197263 : [(1127 ^ _197263) ^ [] : [sdtlseqdt0(_232097, _232095), -(aSubsetOf0(slbdtrb0(_232097), slbdtrb0(_232095)))], (1133 ^ _197263) ^ [] : [aSubsetOf0(slbdtrb0(_232097), slbdtrb0(_232095)), -(sdtlseqdt0(_232097, _232095))]]], (1139 ^ _197263) ^ [_232644] : [1147 ^ _197263 : [(1148 ^ _197263) ^ [] : [-(aElementOf0(1146 ^ [_232644], szNzAzT0))], (1150 ^ _197263) ^ [] : [-(aSubsetOf0(_232644, slbdtrb0(1146 ^ [_232644])))]], aSubsetOf0(_232644, szNzAzT0), isFinite0(_232644)], (1152 ^ _197263) ^ [_233058] : [aElementOf0(_233058, szNzAzT0), -(sbrdtbr0(slbdtrb0(_233058)) = _233058)], (1158 ^ _197263) ^ [_233270, _233272] : [aSet0(_233272), aElementOf0(_233270, szNzAzT0), 1165 ^ _197263 : [(1190 ^ _197263) ^ [_234363] : [-(_234363 = slbdtsldtrb0(_233272, _233270)), aSet0(_234363), 1206 ^ _197263 : [(1207 ^ _197263) ^ [] : [-(aSubsetOf0(1195 ^ [_233270, _233272, _234363], _233272))], (1209 ^ _197263) ^ [] : [-(sbrdtbr0(1195 ^ [_233270, _233272, _234363]) = _233270)], (1211 ^ _197263) ^ [] : [aElementOf0(1195 ^ [_233270, _233272, _234363], _234363)]], 1198 ^ _197263 : [(1199 ^ _197263) ^ [] : [-(aElementOf0(1195 ^ [_233270, _233272, _234363], _234363))], (1201 ^ _197263) ^ [] : [aSubsetOf0(1195 ^ [_233270, _233272, _234363], _233272), sbrdtbr0(1195 ^ [_233270, _233272, _234363]) = _233270]]], (1166 ^ _197263) ^ [_233550] : [_233550 = slbdtsldtrb0(_233272, _233270), 1169 ^ _197263 : [(1170 ^ _197263) ^ [] : [-(aSet0(_233550))], (1172 ^ _197263) ^ [_233810] : [aElementOf0(_233810, _233550), 1175 ^ _197263 : [(1176 ^ _197263) ^ [] : [-(aSubsetOf0(_233810, _233272))], (1178 ^ _197263) ^ [] : [-(sbrdtbr0(_233810) = _233270)]]], (1180 ^ _197263) ^ [_234073] : [-(aElementOf0(_234073, _233550)), aSubsetOf0(_234073, _233272), sbrdtbr0(_234073) = _233270]]]]], (1215 ^ _197263) ^ [_235212] : [aSet0(_235212), isFinite0(_235212), 1222 ^ _197263 : [(1223 ^ _197263) ^ [_235428] : [aElementOf0(_235428, szNzAzT0), -(isFinite0(slbdtsldtrb0(_235212, _235428)))]]], (1229 ^ _197263) ^ [_235637] : [aSet0(_235637), -(isFinite0(_235637)), 1236 ^ _197263 : [(1237 ^ _197263) ^ [_235859] : [aElementOf0(_235859, szNzAzT0), slbdtsldtrb0(_235637, _235859) = slcrc0]]], (1243 ^ _197263) ^ [_236071] : [aSet0(_236071), isCountable0(_236071), 1250 ^ _197263 : [(1251 ^ _197263) ^ [_236295] : [-(isCountable0(slbdtsldtrb0(_236071, _236295))), aElementOf0(_236295, szNzAzT0), -(_236295 = sz00)]]], (1261 ^ _197263) ^ [_236596] : [aElementOf0(_236596, szNzAzT0), 1264 ^ _197263 : [(1265 ^ _197263) ^ [_236783, _236785] : [aSet0(_236785), aSet0(_236783), -(_236596 = sz00), -(aSubsetOf0(_236785, _236783)), aSubsetOf0(slbdtsldtrb0(_236785, _236596), slbdtsldtrb0(_236783, _236596)), -(slbdtsldtrb0(_236785, _236596) = slcrc0)]]], (1287 ^ _197263) ^ [_237402, _237404] : [aSet0(_237404), aElementOf0(_237402, szNzAzT0), 1294 ^ _197263 : [(1295 ^ _197263) ^ [_237653] : [1303 ^ _197263 : [(1304 ^ _197263) ^ [] : [-(aSubsetOf0(1302 ^ [_237402, _237404, _237653], _237404))], (1306 ^ _197263) ^ [] : [-(isFinite0(1302 ^ [_237402, _237404, _237653]))], (1308 ^ _197263) ^ [] : [-(aSubsetOf0(_237653, slbdtsldtrb0(1302 ^ [_237402, _237404, _237653], _237402)))]], aSubsetOf0(_237653, slbdtsldtrb0(_237404, _237402)), isFinite0(_237653)]]], (1310 ^ _197263) ^ [_238215] : [aFunction0(_238215), true___, -(true___)], (1320 ^ _197263) ^ [_238470] : [aFunction0(_238470), -(aSet0(szDzozmdt0(_238470)))], (1326 ^ _197263) ^ [_238660] : [aFunction0(_238660), 1329 ^ _197263 : [(1330 ^ _197263) ^ [_238795] : [aElementOf0(_238795, szDzozmdt0(_238660)), -(aElement0(sdtlpdtrp0(_238660, _238795)))]]], (1336 ^ _197263) ^ [_239020, _239022] : [aFunction0(_239022), aElement0(_239020), 1343 ^ _197263 : [(1368 ^ _197263) ^ [_240129] : [-(_240129 = sdtlbdtrb0(_239022, _239020)), aSet0(_240129), 1384 ^ _197263 : [(1385 ^ _197263) ^ [] : [-(aElementOf0(1373 ^ [_239020, _239022, _240129], szDzozmdt0(_239022)))], (1387 ^ _197263) ^ [] : [-(sdtlpdtrp0(_239022, 1373 ^ [_239020, _239022, _240129]) = _239020)], (1389 ^ _197263) ^ [] : [aElementOf0(1373 ^ [_239020, _239022, _240129], _240129)]], 1376 ^ _197263 : [(1377 ^ _197263) ^ [] : [-(aElementOf0(1373 ^ [_239020, _239022, _240129], _240129))], (1379 ^ _197263) ^ [] : [aElementOf0(1373 ^ [_239020, _239022, _240129], szDzozmdt0(_239022)), sdtlpdtrp0(_239022, 1373 ^ [_239020, _239022, _240129]) = _239020]]], (1344 ^ _197263) ^ [_239301] : [_239301 = sdtlbdtrb0(_239022, _239020), 1347 ^ _197263 : [(1348 ^ _197263) ^ [] : [-(aSet0(_239301))], (1350 ^ _197263) ^ [_239564] : [aElementOf0(_239564, _239301), 1353 ^ _197263 : [(1354 ^ _197263) ^ [] : [-(aElementOf0(_239564, szDzozmdt0(_239022)))], (1356 ^ _197263) ^ [] : [-(sdtlpdtrp0(_239022, _239564) = _239020)]]], (1358 ^ _197263) ^ [_239833] : [-(aElementOf0(_239833, _239301)), aElementOf0(_239833, szDzozmdt0(_239022)), sdtlpdtrp0(_239022, _239833) = _239020]]]]], (1393 ^ _197263) ^ [_241004, _241006] : [-(aSubsetOf0(sdtlbdtrb0(_241006, _241004), szDzozmdt0(_241006))), aFunction0(_241006), aElement0(_241004)], (1403 ^ _197263) ^ [_241295] : [aFunction0(_241295), 1406 ^ _197263 : [(1407 ^ _197263) ^ [_241472] : [aSubsetOf0(_241472, szDzozmdt0(_241295)), 1410 ^ _197263 : [(1436 ^ _197263) ^ [_242659] : [-(_242659 = sdtlcdtrc0(_241295, _241472)), aSet0(_242659), 1453 ^ _197263 : [(1454 ^ _197263) ^ [] : [-(aElementOf0(1452 ^ [_241295, _241472, _242659], _241472))], (1456 ^ _197263) ^ [] : [-(sdtlpdtrp0(_241295, 1452 ^ [_241295, _241472, _242659]) = 1441 ^ [_241295, _241472, _242659])], (1458 ^ _197263) ^ [] : [aElementOf0(1441 ^ [_241295, _241472, _242659], _242659)]], 1444 ^ _197263 : [(1445 ^ _197263) ^ [] : [-(aElementOf0(1441 ^ [_241295, _241472, _242659], _242659))], (1447 ^ _197263) ^ [_243052] : [aElementOf0(_243052, _241472), sdtlpdtrp0(_241295, _243052) = 1441 ^ [_241295, _241472, _242659]]]], (1411 ^ _197263) ^ [_241677] : [_241677 = sdtlcdtrc0(_241295, _241472), 1414 ^ _197263 : [(1415 ^ _197263) ^ [] : [-(aSet0(_241677))], (1417 ^ _197263) ^ [_241943] : [aElementOf0(_241943, _241677), 1421 ^ _197263 : [(1422 ^ _197263) ^ [] : [-(aElementOf0(1420 ^ [_241295, _241472, _241677, _241943], _241472))], (1424 ^ _197263) ^ [] : [-(sdtlpdtrp0(_241295, 1420 ^ [_241295, _241472, _241677, _241943]) = _241943)]]], (1426 ^ _197263) ^ [_242297] : [-(aElementOf0(_242297, _241677)), 1427 ^ _197263 : [(1428 ^ _197263) ^ [_242402] : [aElementOf0(_242402, _241472), sdtlpdtrp0(_241295, _242402) = _242297]]]]]]]]], (1462 ^ _197263) ^ [_243663] : [aFunction0(_243663), 1465 ^ _197263 : [(1466 ^ _197263) ^ [_243804] : [aElementOf0(_243804, szDzozmdt0(_243663)), -(aElementOf0(sdtlpdtrp0(_243663, _243804), sdtlcdtrc0(_243663, szDzozmdt0(_243663))))]]], (1472 ^ _197263) ^ [_244027] : [aFunction0(_244027), 1475 ^ _197263 : [(1476 ^ _197263) ^ [_244204] : [aSubsetOf0(_244204, szDzozmdt0(_244027)), 1479 ^ _197263 : [(1480 ^ _197263) ^ [_244409] : [_244409 = sdtexdt0(_244027, _244204), 1483 ^ _197263 : [(1484 ^ _197263) ^ [] : [-(aFunction0(_244409))], (1486 ^ _197263) ^ [] : [-(szDzozmdt0(_244409) = _244204)], (1488 ^ _197263) ^ [_244716] : [aElementOf0(_244716, _244204), -(sdtlpdtrp0(_244409, _244716) = sdtlpdtrp0(_244027, _244716))]]], (1494 ^ _197263) ^ [_244917] : [-(_244917 = sdtexdt0(_244027, _244204)), aFunction0(_244917), szDzozmdt0(_244917) = _244204, 1504 ^ _197263 : [(1505 ^ _197263) ^ [] : [-(aElementOf0(1503 ^ [_244027, _244204, _244917], _244204))], (1507 ^ _197263) ^ [] : [sdtlpdtrp0(_244917, 1503 ^ [_244027, _244204, _244917]) = sdtlpdtrp0(_244027, 1503 ^ [_244027, _244204, _244917])]]]]]]], (1511 ^ _197263) ^ [_245511] : [aFunction0(_245511), 1514 ^ _197263 : [(1515 ^ _197263) ^ [_245699] : [aSubsetOf0(_245699, szDzozmdt0(_245511)), isCountable0(_245699), 1526 ^ _197263 : [(1527 ^ _197263) ^ [] : [-(aElementOf0(1524 ^ [_245511, _245699], szDzozmdt0(_245511)))], (1529 ^ _197263) ^ [] : [-(aElementOf0(1525 ^ [_245511, _245699], szDzozmdt0(_245511)))], (1531 ^ _197263) ^ [] : [1524 ^ [_245511, _245699] = 1525 ^ [_245511, _245699]], (1533 ^ _197263) ^ [] : [-(sdtlpdtrp0(_245511, 1524 ^ [_245511, _245699]) = sdtlpdtrp0(_245511, 1525 ^ [_245511, _245699]))]], -(isCountable0(sdtlcdtrc0(_245511, _245699)))]]], (1537 ^ _197263) ^ [_246571] : [aFunction0(_246571), 1548 ^ _197263 : [(1549 ^ _197263) ^ [] : [-(aElement0(szDzizrdt0(_246571)))], (1551 ^ _197263) ^ [] : [-(isCountable0(sdtlbdtrb0(_246571, szDzizrdt0(_246571))))]], isCountable0(szDzozmdt0(_246571)), isFinite0(sdtlcdtrc0(_246571, szDzozmdt0(_246571)))], (1553 ^ _197263) ^ [] : [-(aSet0(xT))], (1555 ^ _197263) ^ [] : [-(isFinite0(xT))], (1557 ^ _197263) ^ [] : [-(aElementOf0(xK, szNzAzT0))], (1559 ^ _197263) ^ [] : [-(aSubsetOf0(xS, szNzAzT0))], (1561 ^ _197263) ^ [] : [-(isCountable0(xS))], (1563 ^ _197263) ^ [] : [-(aFunction0(xc))], (1565 ^ _197263) ^ [] : [-(szDzozmdt0(xc) = slbdtsldtrb0(xS, xK))], (1567 ^ _197263) ^ [] : [-(aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT))], (1569 ^ _197263) ^ [_247454] : [aElementOf0(_247454, szNzAzT0), 1572 ^ _197263 : [(1573 ^ _197263) ^ [_247674] : [aSubsetOf0(_247674, szNzAzT0), isCountable0(_247674), 1580 ^ _197263 : [(1581 ^ _197263) ^ [_247971] : [aFunction0(_247971), szDzozmdt0(_247971) = slbdtsldtrb0(_247674, _247454), aSubsetOf0(sdtlcdtrc0(_247971, szDzozmdt0(_247971)), xT), iLess0(_247454, xK), 1597 ^ _197263 : [(1598 ^ _197263) ^ [] : [-(aElementOf0(1596 ^ [_247454, _247674, _247971], xT))], (1601 ^ _197263) ^ [] : [-(aSubsetOf0(1599 ^ [_247454, _247674, _247971], _247674))], (1603 ^ _197263) ^ [] : [-(isCountable0(1599 ^ [_247454, _247674, _247971]))], (1605 ^ _197263) ^ [_248846] : [aElementOf0(_248846, slbdtsldtrb0(1599 ^ [_247454, _247674, _247971], _247454)), -(sdtlpdtrp0(_247971, _248846) = 1596 ^ [_247454, _247674, _247971])]]]]]]], (1611 ^ _197263) ^ [] : [xK = sz00], (1613 ^ _197263) ^ [] : [xK = sz00], (1615 ^ _197263) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1617 ^ _197263) ^ [] : [-(szszuzczcdt0(xk) = xK)], (1619 ^ _197263) ^ [] : [-(aFunction0(xN))], (1621 ^ _197263) ^ [] : [-(szDzozmdt0(xN) = szNzAzT0)], (1623 ^ _197263) ^ [] : [-(sdtlpdtrp0(xN, sz00) = xS)], (1625 ^ _197263) ^ [_249510] : [aElementOf0(_249510, szNzAzT0), 1636 ^ _197263 : [(1637 ^ _197263) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(_249510)), sdtmndt0(sdtlpdtrp0(xN, _249510), szmzizndt0(sdtlpdtrp0(xN, _249510)))))], (1639 ^ _197263) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(_249510))))]], aSubsetOf0(sdtlpdtrp0(xN, _249510), szNzAzT0), isCountable0(sdtlpdtrp0(xN, _249510))], (1641 ^ _197263) ^ [_249999] : [aElementOf0(_249999, szNzAzT0), 1644 ^ _197263 : [(1645 ^ _197263) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, _249999), szNzAzT0))], (1647 ^ _197263) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, _249999)))]]], (1649 ^ _197263) ^ [_250286, _250288] : [aElementOf0(_250288, szNzAzT0), aElementOf0(_250286, szNzAzT0), sdtlseqdt0(_250286, _250288), -(aSubsetOf0(sdtlpdtrp0(xN, _250288), sdtlpdtrp0(xN, _250286)))], (1677 ^ _197263) ^ [] : [-(aElementOf0(xi, szNzAzT0))], (1679 ^ _197263) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))), xk)))], (1681 ^ _197263) ^ [] : [-(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)], (1663 ^ _197263) ^ [_250688, _250690] : [szmzizndt0(sdtlpdtrp0(xN, _250690)) = szmzizndt0(sdtlpdtrp0(xN, _250688)), aElementOf0(_250690, szNzAzT0), aElementOf0(_250688, szNzAzT0), -(_250690 = _250688)]], input).
% 111.36/107.86 ncf('1',plain,[aSubsetOf0(sdtlpdtrp0(xN, xi), xS)],start(1683 ^ 0)).
% 111.36/107.86 ncf('1.1',plain,[-(aSubsetOf0(sdtlpdtrp0(xN, xi), xS)), aSubsetOf0(sdtlpdtrp0(xN, xi), sdtlpdtrp0(xN, sz00)), sdtlpdtrp0(xN, xi) = sdtlpdtrp0(xN, xi), sdtlpdtrp0(xN, sz00) = xS],extension(112 ^ 1,bind([[_200846, _200848, _200850, _200852], [xS, sdtlpdtrp0(xN, sz00), sdtlpdtrp0(xN, xi), sdtlpdtrp0(xN, xi)]]))).
% 111.36/107.86 ncf('1.1.1',plain,[-(aSubsetOf0(sdtlpdtrp0(xN, xi), sdtlpdtrp0(xN, sz00))), aElementOf0(xi, szNzAzT0), aElementOf0(sz00, szNzAzT0), sdtlseqdt0(sz00, xi)],extension(1649 ^ 2,bind([[_250286, _250288], [sz00, xi]]))).
% 111.36/107.86 ncf('1.1.1.1',plain,[-(aElementOf0(xi, szNzAzT0))],extension(1677 ^ 3)).
% 111.36/107.86 ncf('1.1.1.2',plain,[-(aElementOf0(sz00, szNzAzT0))],extension(648 ^ 3)).
% 111.36/107.86 ncf('1.1.1.3',plain,[-(sdtlseqdt0(sz00, xi)), aElementOf0(xi, szNzAzT0)],extension(709 ^ 3,bind([[_219766], [xi]]))).
% 111.36/107.86 ncf('1.1.1.3.1',plain,[-(aElementOf0(xi, szNzAzT0))],lemmata('[1, 1].x')).
% 111.36/107.86 ncf('1.1.2',plain,[-(sdtlpdtrp0(xN, xi) = sdtlpdtrp0(xN, xi)), xN = xN, xi = xi],extension(228 ^ 2,bind([[_204972, _204974, _204976, _204978], [xi, xi, xN, xN]]))).
% 111.36/107.86 ncf('1.1.2.1',plain,[-(xN = xN)],extension(2 ^ 3,bind([[_197407], [xN]]))).
% 111.36/107.86 ncf('1.1.2.2',plain,[-(xi = xi)],extension(2 ^ 3,bind([[_197407], [xi]]))).
% 111.36/107.86 ncf('1.1.3',plain,[-(sdtlpdtrp0(xN, sz00) = xS), sdtlpdtrp0(xN, sz00) = xS, xS = xS],extension(10 ^ 2,bind([[_197718, _197720, _197722], [xS, xS, sdtlpdtrp0(xN, sz00)]]))).
% 111.36/107.86 ncf('1.1.3.1',plain,[-(sdtlpdtrp0(xN, sz00) = xS)],extension(1623 ^ 3)).
% 111.36/107.86 ncf('1.1.3.2',plain,[-(xS = xS)],extension(2 ^ 3,bind([[_197407], [xS]]))).
% 111.36/107.86 %-----------------------------------------------------
% 111.36/107.86 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------