TSTP Solution File: NUM578+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 0.80s 1.38s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n004.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 17:02:09 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.80/1.38
% 0.80/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.80/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/1.38 %-----------------------------------------------------
% 0.80/1.38 ncf(matrix, plain, [(1693 ^ _199041) ^ [] : [xi = xj], (1695 ^ _199041) ^ [] : [-(szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj)))], (1677 ^ _199041) ^ [_253350, _253352] : [aElementOf0(_253352, szNzAzT0), aElementOf0(_253350, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_253352), _253350), 1688 ^ _199041 : [(1689 ^ _199041) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, _253350), sdtmndt0(sdtlpdtrp0(xN, _253352), szmzizndt0(sdtlpdtrp0(xN, _253352)))))], (1691 ^ _199041) ^ [] : [szmzizndt0(sdtlpdtrp0(xN, _253350)) = szmzizndt0(sdtlpdtrp0(xN, _253352))]]], (126 ^ _199041) ^ [_203090, _203092, _203094, _203096] : [-(sdtpldt0(_203096, _203092) = sdtpldt0(_203094, _203090)), _203096 = _203094, _203092 = _203090], (136 ^ _199041) ^ [_203421, _203423] : [_203423 = _203421, -(szmzazxdt0(_203423) = szmzazxdt0(_203421))], (142 ^ _199041) ^ [_203639, _203641] : [_203641 = _203639, -(slbdtrb0(_203641) = slbdtrb0(_203639))], (148 ^ _199041) ^ [_203857, _203859] : [_203859 = _203857, -(sbrdtbr0(_203859) = sbrdtbr0(_203857))], (154 ^ _199041) ^ [_204103, _204105, _204107, _204109] : [-(sdtexdt0(_204109, _204105) = sdtexdt0(_204107, _204103)), _204109 = _204107, _204105 = _204103], (164 ^ _199041) ^ [_204462, _204464, _204466, _204468] : [-(sdtlbdtrb0(_204468, _204464) = sdtlbdtrb0(_204466, _204462)), _204468 = _204466, _204464 = _204462], (174 ^ _199041) ^ [_204793, _204795] : [_204795 = _204793, -(szDzizrdt0(_204795) = szDzizrdt0(_204793))], (180 ^ _199041) ^ [_205039, _205041, _205043, _205045] : [-(sdtlcdtrc0(_205045, _205041) = sdtlcdtrc0(_205043, _205039)), _205045 = _205043, _205041 = _205039], (190 ^ _199041) ^ [_205398, _205400, _205402, _205404] : [-(slbdtsldtrb0(_205404, _205400) = slbdtsldtrb0(_205402, _205398)), _205404 = _205402, _205400 = _205398], (200 ^ _199041) ^ [_205729, _205731] : [_205731 = _205729, -(szDzozmdt0(_205731) = szDzozmdt0(_205729))], (206 ^ _199041) ^ [_205947, _205949] : [_205949 = _205947, -(szszuzczcdt0(_205949) = szszuzczcdt0(_205947))], (212 ^ _199041) ^ [_206193, _206195, _206197, _206199] : [-(sdtmndt0(_206199, _206195) = sdtmndt0(_206197, _206193)), _206199 = _206197, _206195 = _206193], (222 ^ _199041) ^ [_206524, _206526] : [_206526 = _206524, -(szmzizndt0(_206526) = szmzizndt0(_206524))], (228 ^ _199041) ^ [_206750, _206752, _206754, _206756] : [-(sdtlpdtrp0(_206756, _206752) = sdtlpdtrp0(_206754, _206750)), _206756 = _206754, _206752 = _206750], (2 ^ _199041) ^ [_199185] : [-(_199185 = _199185)], (4 ^ _199041) ^ [_199292, _199294] : [_199294 = _199292, -(_199292 = _199294)], (10 ^ _199041) ^ [_199496, _199498, _199500] : [-(_199500 = _199496), _199500 = _199498, _199498 = _199496], (20 ^ _199041) ^ [_199809, _199811] : [-(aElement0(_199809)), _199811 = _199809, aElement0(_199811)], (30 ^ _199041) ^ [_200104, _200106] : [-(aSet0(_200104)), _200106 = _200104, aSet0(_200106)], (40 ^ _199041) ^ [_200399, _200401] : [-(isFinite0(_200399)), _200401 = _200399, isFinite0(_200401)], (50 ^ _199041) ^ [_200722, _200724, _200726, _200728] : [-(iLess0(_200726, _200722)), iLess0(_200728, _200724), _200728 = _200726, _200724 = _200722], (64 ^ _199041) ^ [_201138, _201140] : [-(aFunction0(_201138)), _201140 = _201138, aFunction0(_201140)], (74 ^ _199041) ^ [_201433, _201435] : [-(isCountable0(_201433)), _201435 = _201433, isCountable0(_201435)], (84 ^ _199041) ^ [_201756, _201758, _201760, _201762] : [-(aElementOf0(_201760, _201756)), aElementOf0(_201762, _201758), _201762 = _201760, _201758 = _201756], (98 ^ _199041) ^ [_202200, _202202, _202204, _202206] : [-(sdtlseqdt0(_202204, _202200)), sdtlseqdt0(_202206, _202202), _202206 = _202204, _202202 = _202200], (112 ^ _199041) ^ [_202624, _202626, _202628, _202630] : [-(aSubsetOf0(_202628, _202624)), aSubsetOf0(_202630, _202626), _202630 = _202628, _202626 = _202624], (238 ^ _199041) ^ [_207153] : [aSet0(_207153), true___, -(true___)], (248 ^ _199041) ^ [_207408] : [aElement0(_207408), true___, -(true___)], (258 ^ _199041) ^ [_207663] : [aSet0(_207663), 261 ^ _199041 : [(262 ^ _199041) ^ [_207793] : [aElementOf0(_207793, _207663), -(aElement0(_207793))]]], (268 ^ _199041) ^ [_207994] : [aSet0(_207994), isFinite0(_207994), true___, -(true___)], (282 ^ _199041) ^ [_208364] : [_208364 = slcrc0, 285 ^ _199041 : [(286 ^ _199041) ^ [] : [-(aSet0(_208364))], (288 ^ _199041) ^ [_208545] : [aElementOf0(_208545, _208364)]]], (290 ^ _199041) ^ [_208613] : [-(_208613 = slcrc0), aSet0(_208613), -(aElementOf0(295 ^ [_208613], _208613))], (301 ^ _199041) ^ [] : [-(isFinite0(slcrc0))], (303 ^ _199041) ^ [_208995] : [aSet0(_208995), isCountable0(_208995), true___, -(true___)], (317 ^ _199041) ^ [_209336] : [isFinite0(_209336), aSet0(_209336), isCountable0(_209336)], (327 ^ _199041) ^ [_209606] : [_209606 = slcrc0, aSet0(_209606), isCountable0(_209606)], (337 ^ _199041) ^ [_209878] : [aSet0(_209878), 340 ^ _199041 : [(341 ^ _199041) ^ [_210054] : [aSubsetOf0(_210054, _209878), 344 ^ _199041 : [(345 ^ _199041) ^ [] : [-(aSet0(_210054))], (347 ^ _199041) ^ [_210263] : [aElementOf0(_210263, _210054), -(aElementOf0(_210263, _209878))]]], (353 ^ _199041) ^ [_210442] : [-(aSubsetOf0(_210442, _209878)), aSet0(_210442), 359 ^ _199041 : [(360 ^ _199041) ^ [] : [-(aElementOf0(358 ^ [_209878, _210442], _210442))], (362 ^ _199041) ^ [] : [aElementOf0(358 ^ [_209878, _210442], _209878)]]]]], (366 ^ _199041) ^ [_210879] : [aSet0(_210879), isFinite0(_210879), 373 ^ _199041 : [(374 ^ _199041) ^ [_211092] : [aSubsetOf0(_211092, _210879), -(isFinite0(_211092))]]], (380 ^ _199041) ^ [_211295] : [aSet0(_211295), -(aSubsetOf0(_211295, _211295))], (386 ^ _199041) ^ [_211497, _211499] : [aSet0(_211499), aSet0(_211497), -(_211499 = _211497), aSubsetOf0(_211499, _211497), aSubsetOf0(_211497, _211499)], (404 ^ _199041) ^ [_211986, _211988, _211990] : [aSet0(_211990), aSet0(_211988), aSet0(_211986), -(aSubsetOf0(_211990, _211986)), aSubsetOf0(_211990, _211988), aSubsetOf0(_211988, _211986)], (426 ^ _199041) ^ [_212572, _212574] : [aSet0(_212574), aElement0(_212572), 433 ^ _199041 : [(464 ^ _199041) ^ [_213833] : [-(_213833 = sdtpldt0(_212574, _212572)), aSet0(_213833), 472 ^ _199041 : [(473 ^ _199041) ^ [] : [-(aElementOf0(469 ^ [_212572, _212574, _213833], _213833))], (475 ^ _199041) ^ [] : [aElement0(469 ^ [_212572, _212574, _213833]), 478 ^ _199041 : [(479 ^ _199041) ^ [] : [aElementOf0(469 ^ [_212572, _212574, _213833], _212574)], (481 ^ _199041) ^ [] : [469 ^ [_212572, _212574, _213833] = _212572]]]], 482 ^ _199041 : [(491 ^ _199041) ^ [] : [aElementOf0(469 ^ [_212572, _212574, _213833], _213833)], (483 ^ _199041) ^ [] : [-(aElement0(469 ^ [_212572, _212574, _213833]))], (485 ^ _199041) ^ [] : [-(aElementOf0(469 ^ [_212572, _212574, _213833], _212574)), -(469 ^ [_212572, _212574, _213833] = _212572)]]], (434 ^ _199041) ^ [_212853] : [_212853 = sdtpldt0(_212574, _212572), 437 ^ _199041 : [(438 ^ _199041) ^ [] : [-(aSet0(_212853))], (440 ^ _199041) ^ [_213116] : [aElementOf0(_213116, _212853), 443 ^ _199041 : [(444 ^ _199041) ^ [] : [-(aElement0(_213116))], (446 ^ _199041) ^ [] : [-(aElementOf0(_213116, _212574)), -(_213116 = _212572)]]], (452 ^ _199041) ^ [_213471] : [-(aElementOf0(_213471, _212853)), aElement0(_213471), 457 ^ _199041 : [(458 ^ _199041) ^ [] : [aElementOf0(_213471, _212574)], (460 ^ _199041) ^ [] : [_213471 = _212572]]]]]]], (495 ^ _199041) ^ [_214870, _214872] : [aSet0(_214872), aElement0(_214870), 502 ^ _199041 : [(533 ^ _199041) ^ [_216138] : [-(_216138 = sdtmndt0(_214872, _214870)), aSet0(_216138), 553 ^ _199041 : [(554 ^ _199041) ^ [] : [-(aElement0(538 ^ [_214870, _214872, _216138]))], (556 ^ _199041) ^ [] : [-(aElementOf0(538 ^ [_214870, _214872, _216138], _214872))], (558 ^ _199041) ^ [] : [538 ^ [_214870, _214872, _216138] = _214870], (560 ^ _199041) ^ [] : [aElementOf0(538 ^ [_214870, _214872, _216138], _216138)]], 541 ^ _199041 : [(542 ^ _199041) ^ [] : [-(aElementOf0(538 ^ [_214870, _214872, _216138], _216138))], (544 ^ _199041) ^ [] : [aElement0(538 ^ [_214870, _214872, _216138]), aElementOf0(538 ^ [_214870, _214872, _216138], _214872), -(538 ^ [_214870, _214872, _216138] = _214870)]]], (503 ^ _199041) ^ [_215153] : [_215153 = sdtmndt0(_214872, _214870), 506 ^ _199041 : [(507 ^ _199041) ^ [] : [-(aSet0(_215153))], (509 ^ _199041) ^ [_215418] : [aElementOf0(_215418, _215153), 512 ^ _199041 : [(513 ^ _199041) ^ [] : [-(aElement0(_215418))], (515 ^ _199041) ^ [] : [-(aElementOf0(_215418, _214872))], (517 ^ _199041) ^ [] : [_215418 = _214870]]], (519 ^ _199041) ^ [_215754] : [-(aElementOf0(_215754, _215153)), aElement0(_215754), aElementOf0(_215754, _214872), -(_215754 = _214870)]]]]], (564 ^ _199041) ^ [_217168] : [aSet0(_217168), 567 ^ _199041 : [(568 ^ _199041) ^ [_217305] : [aElementOf0(_217305, _217168), -(sdtpldt0(sdtmndt0(_217168, _217305), _217305) = _217168)]]], (574 ^ _199041) ^ [_217534, _217536] : [aElement0(_217536), aSet0(_217534), -(aElementOf0(_217536, _217534)), -(sdtmndt0(sdtpldt0(_217534, _217536), _217536) = _217534)], (588 ^ _199041) ^ [_217921] : [aElement0(_217921), 591 ^ _199041 : [(592 ^ _199041) ^ [_218058] : [-(isCountable0(sdtpldt0(_218058, _217921))), aSet0(_218058), isCountable0(_218058)]]], (602 ^ _199041) ^ [_218350] : [aElement0(_218350), 605 ^ _199041 : [(606 ^ _199041) ^ [_218487] : [-(isCountable0(sdtmndt0(_218487, _218350))), aSet0(_218487), isCountable0(_218487)]]], (616 ^ _199041) ^ [_218779] : [aElement0(_218779), 619 ^ _199041 : [(620 ^ _199041) ^ [_218916] : [-(isFinite0(sdtpldt0(_218916, _218779))), aSet0(_218916), isFinite0(_218916)]]], (630 ^ _199041) ^ [_219208] : [aElement0(_219208), 633 ^ _199041 : [(634 ^ _199041) ^ [_219345] : [-(isFinite0(sdtmndt0(_219345, _219208))), aSet0(_219345), isFinite0(_219345)]]], (644 ^ _199041) ^ [] : [-(aSet0(szNzAzT0))], (646 ^ _199041) ^ [] : [-(isCountable0(szNzAzT0))], (648 ^ _199041) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (650 ^ _199041) ^ [_219798] : [aElementOf0(_219798, szNzAzT0), 653 ^ _199041 : [(654 ^ _199041) ^ [] : [-(aElementOf0(szszuzczcdt0(_219798), szNzAzT0))], (656 ^ _199041) ^ [] : [szszuzczcdt0(_219798) = sz00]]], (658 ^ _199041) ^ [_220084, _220086] : [aElementOf0(_220086, szNzAzT0), aElementOf0(_220084, szNzAzT0), szszuzczcdt0(_220086) = szszuzczcdt0(_220084), -(_220086 = _220084)], (672 ^ _199041) ^ [_220468] : [aElementOf0(_220468, szNzAzT0), -(_220468 = sz00), 680 ^ _199041 : [(681 ^ _199041) ^ [] : [-(aElementOf0(679 ^ [_220468], szNzAzT0))], (683 ^ _199041) ^ [] : [-(_220468 = szszuzczcdt0(679 ^ [_220468]))]]], (685 ^ _199041) ^ [_220885] : [aElementOf0(_220885, szNzAzT0), _220885 = szszuzczcdt0(_220885)], (691 ^ _199041) ^ [_221094, _221096] : [aElementOf0(_221096, szNzAzT0), aElementOf0(_221094, szNzAzT0), sdtlseqdt0(_221096, _221094), true___, -(true___)], (709 ^ _199041) ^ [_221544] : [aElementOf0(_221544, szNzAzT0), -(sdtlseqdt0(sz00, _221544))], (715 ^ _199041) ^ [_221734] : [aElementOf0(_221734, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_221734), sz00)], (721 ^ _199041) ^ [_221943, _221945] : [aElementOf0(_221945, szNzAzT0), aElementOf0(_221943, szNzAzT0), 728 ^ _199041 : [(729 ^ _199041) ^ [] : [sdtlseqdt0(_221945, _221943), -(sdtlseqdt0(szszuzczcdt0(_221945), szszuzczcdt0(_221943)))], (735 ^ _199041) ^ [] : [sdtlseqdt0(szszuzczcdt0(_221945), szszuzczcdt0(_221943)), -(sdtlseqdt0(_221945, _221943))]]], (741 ^ _199041) ^ [_222492] : [aElementOf0(_222492, szNzAzT0), -(sdtlseqdt0(_222492, szszuzczcdt0(_222492)))], (747 ^ _199041) ^ [_222686] : [aElementOf0(_222686, szNzAzT0), -(sdtlseqdt0(_222686, _222686))], (753 ^ _199041) ^ [_222890, _222892] : [aElementOf0(_222892, szNzAzT0), aElementOf0(_222890, szNzAzT0), -(_222892 = _222890), sdtlseqdt0(_222892, _222890), sdtlseqdt0(_222890, _222892)], (771 ^ _199041) ^ [_223383, _223385, _223387] : [aElementOf0(_223387, szNzAzT0), aElementOf0(_223385, szNzAzT0), aElementOf0(_223383, szNzAzT0), -(sdtlseqdt0(_223387, _223383)), sdtlseqdt0(_223387, _223385), sdtlseqdt0(_223385, _223383)], (793 ^ _199041) ^ [_223975, _223977] : [aElementOf0(_223977, szNzAzT0), aElementOf0(_223975, szNzAzT0), -(sdtlseqdt0(_223977, _223975)), -(sdtlseqdt0(szszuzczcdt0(_223975), _223977))], (807 ^ _199041) ^ [_224370, _224372] : [aElementOf0(_224372, szNzAzT0), aElementOf0(_224370, szNzAzT0), iLess0(_224372, _224370), true___, -(true___)], (825 ^ _199041) ^ [_224820] : [aElementOf0(_224820, szNzAzT0), -(iLess0(_224820, szszuzczcdt0(_224820)))], (831 ^ _199041) ^ [_225014] : [aSet0(_225014), -(aElement0(sbrdtbr0(_225014)))], (837 ^ _199041) ^ [_225204] : [aSet0(_225204), 840 ^ _199041 : [(841 ^ _199041) ^ [] : [aElementOf0(sbrdtbr0(_225204), szNzAzT0), -(isFinite0(_225204))], (847 ^ _199041) ^ [] : [isFinite0(_225204), -(aElementOf0(sbrdtbr0(_225204), szNzAzT0))]]], (853 ^ _199041) ^ [_225635] : [aSet0(_225635), 856 ^ _199041 : [(857 ^ _199041) ^ [] : [sbrdtbr0(_225635) = sz00, -(_225635 = slcrc0)], (863 ^ _199041) ^ [] : [_225635 = slcrc0, -(sbrdtbr0(_225635) = sz00)]]], (869 ^ _199041) ^ [_226069] : [aSet0(_226069), isFinite0(_226069), 876 ^ _199041 : [(877 ^ _199041) ^ [_226299] : [aElement0(_226299), -(aElementOf0(_226299, _226069)), -(sbrdtbr0(sdtpldt0(_226069, _226299)) = szszuzczcdt0(sbrdtbr0(_226069)))]]], (887 ^ _199041) ^ [_226612] : [aSet0(_226612), 890 ^ _199041 : [(891 ^ _199041) ^ [_226757] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_226612, _226757))) = sbrdtbr0(_226612)), isFinite0(_226612), aElementOf0(_226757, _226612)]]], (901 ^ _199041) ^ [_227065] : [aSet0(_227065), 904 ^ _199041 : [(905 ^ _199041) ^ [_227205] : [-(sdtlseqdt0(sbrdtbr0(_227205), sbrdtbr0(_227065))), isFinite0(_227065), aSubsetOf0(_227205, _227065)]]], (915 ^ _199041) ^ [_227517, _227519] : [aSet0(_227519), aElementOf0(_227517, szNzAzT0), 931 ^ _199041 : [(932 ^ _199041) ^ [] : [-(aSubsetOf0(930 ^ [_227517, _227519], _227519))], (934 ^ _199041) ^ [] : [-(sbrdtbr0(930 ^ [_227517, _227519]) = _227517)]], isFinite0(_227519), sdtlseqdt0(_227517, sbrdtbr0(_227519))], (936 ^ _199041) ^ [_228133] : [aSubsetOf0(_228133, szNzAzT0), -(_228133 = slcrc0), 943 ^ _199041 : [(944 ^ _199041) ^ [_228402] : [_228402 = szmzizndt0(_228133), 947 ^ _199041 : [(948 ^ _199041) ^ [] : [-(aElementOf0(_228402, _228133))], (950 ^ _199041) ^ [_228617] : [aElementOf0(_228617, _228133), -(sdtlseqdt0(_228402, _228617))]]], (956 ^ _199041) ^ [_228796] : [-(_228796 = szmzizndt0(_228133)), aElementOf0(_228796, _228133), 962 ^ _199041 : [(963 ^ _199041) ^ [] : [-(aElementOf0(961 ^ [_228133, _228796], _228133))], (965 ^ _199041) ^ [] : [sdtlseqdt0(_228796, 961 ^ [_228133, _228796])]]]]], (969 ^ _199041) ^ [_229241] : [aSubsetOf0(_229241, szNzAzT0), isFinite0(_229241), -(_229241 = slcrc0), 980 ^ _199041 : [(981 ^ _199041) ^ [_229593] : [_229593 = szmzazxdt0(_229241), 984 ^ _199041 : [(985 ^ _199041) ^ [] : [-(aElementOf0(_229593, _229241))], (987 ^ _199041) ^ [_229808] : [aElementOf0(_229808, _229241), -(sdtlseqdt0(_229808, _229593))]]], (993 ^ _199041) ^ [_229987] : [-(_229987 = szmzazxdt0(_229241)), aElementOf0(_229987, _229241), 999 ^ _199041 : [(1000 ^ _199041) ^ [] : [-(aElementOf0(998 ^ [_229241, _229987], _229241))], (1002 ^ _199041) ^ [] : [sdtlseqdt0(998 ^ [_229241, _229987], _229987)]]]]], (1006 ^ _199041) ^ [_230448, _230450] : [-(szmzizndt0(_230450) = szmzizndt0(_230448)), aElementOf0(szmzizndt0(_230450), _230448), aElementOf0(szmzizndt0(_230448), _230450), aSubsetOf0(_230450, szNzAzT0), aSubsetOf0(_230448, szNzAzT0), -(_230450 = slcrc0), -(_230448 = slcrc0)], (1032 ^ _199041) ^ [_231115] : [aElementOf0(_231115, szNzAzT0), 1035 ^ _199041 : [(1060 ^ _199041) ^ [_232084] : [-(_232084 = slbdtrb0(_231115)), aSet0(_232084), 1076 ^ _199041 : [(1077 ^ _199041) ^ [] : [-(aElementOf0(1065 ^ [_231115, _232084], szNzAzT0))], (1079 ^ _199041) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1065 ^ [_231115, _232084]), _231115))], (1081 ^ _199041) ^ [] : [aElementOf0(1065 ^ [_231115, _232084], _232084)]], 1068 ^ _199041 : [(1069 ^ _199041) ^ [] : [-(aElementOf0(1065 ^ [_231115, _232084], _232084))], (1071 ^ _199041) ^ [] : [aElementOf0(1065 ^ [_231115, _232084], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1065 ^ [_231115, _232084]), _231115)]]], (1036 ^ _199041) ^ [_231303] : [_231303 = slbdtrb0(_231115), 1039 ^ _199041 : [(1040 ^ _199041) ^ [] : [-(aSet0(_231303))], (1042 ^ _199041) ^ [_231553] : [aElementOf0(_231553, _231303), 1045 ^ _199041 : [(1046 ^ _199041) ^ [] : [-(aElementOf0(_231553, szNzAzT0))], (1048 ^ _199041) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_231553), _231115))]]], (1050 ^ _199041) ^ [_231806] : [-(aElementOf0(_231806, _231303)), aElementOf0(_231806, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_231806), _231115)]]]]], (1085 ^ _199041) ^ [_232887] : [aElementOf0(_232887, szNzAzT0), -(isFinite0(slbdtrb0(_232887)))], (1091 ^ _199041) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1093 ^ _199041) ^ [_233146, _233148] : [aElementOf0(_233148, szNzAzT0), aElementOf0(_233146, szNzAzT0), 1100 ^ _199041 : [(1111 ^ _199041) ^ [] : [1112 ^ _199041 : [(1113 ^ _199041) ^ [] : [aElementOf0(_233148, slbdtrb0(_233146))], (1115 ^ _199041) ^ [] : [_233148 = _233146]], -(aElementOf0(_233148, slbdtrb0(szszuzczcdt0(_233146))))], (1101 ^ _199041) ^ [] : [aElementOf0(_233148, slbdtrb0(szszuzczcdt0(_233146))), -(aElementOf0(_233148, slbdtrb0(_233146))), -(_233148 = _233146)]]], (1119 ^ _199041) ^ [_233873, _233875] : [aElementOf0(_233875, szNzAzT0), aElementOf0(_233873, szNzAzT0), 1126 ^ _199041 : [(1127 ^ _199041) ^ [] : [sdtlseqdt0(_233875, _233873), -(aSubsetOf0(slbdtrb0(_233875), slbdtrb0(_233873)))], (1133 ^ _199041) ^ [] : [aSubsetOf0(slbdtrb0(_233875), slbdtrb0(_233873)), -(sdtlseqdt0(_233875, _233873))]]], (1139 ^ _199041) ^ [_234422] : [1147 ^ _199041 : [(1148 ^ _199041) ^ [] : [-(aElementOf0(1146 ^ [_234422], szNzAzT0))], (1150 ^ _199041) ^ [] : [-(aSubsetOf0(_234422, slbdtrb0(1146 ^ [_234422])))]], aSubsetOf0(_234422, szNzAzT0), isFinite0(_234422)], (1152 ^ _199041) ^ [_234836] : [aElementOf0(_234836, szNzAzT0), -(sbrdtbr0(slbdtrb0(_234836)) = _234836)], (1158 ^ _199041) ^ [_235048, _235050] : [aSet0(_235050), aElementOf0(_235048, szNzAzT0), 1165 ^ _199041 : [(1190 ^ _199041) ^ [_236141] : [-(_236141 = slbdtsldtrb0(_235050, _235048)), aSet0(_236141), 1206 ^ _199041 : [(1207 ^ _199041) ^ [] : [-(aSubsetOf0(1195 ^ [_235048, _235050, _236141], _235050))], (1209 ^ _199041) ^ [] : [-(sbrdtbr0(1195 ^ [_235048, _235050, _236141]) = _235048)], (1211 ^ _199041) ^ [] : [aElementOf0(1195 ^ [_235048, _235050, _236141], _236141)]], 1198 ^ _199041 : [(1199 ^ _199041) ^ [] : [-(aElementOf0(1195 ^ [_235048, _235050, _236141], _236141))], (1201 ^ _199041) ^ [] : [aSubsetOf0(1195 ^ [_235048, _235050, _236141], _235050), sbrdtbr0(1195 ^ [_235048, _235050, _236141]) = _235048]]], (1166 ^ _199041) ^ [_235328] : [_235328 = slbdtsldtrb0(_235050, _235048), 1169 ^ _199041 : [(1170 ^ _199041) ^ [] : [-(aSet0(_235328))], (1172 ^ _199041) ^ [_235588] : [aElementOf0(_235588, _235328), 1175 ^ _199041 : [(1176 ^ _199041) ^ [] : [-(aSubsetOf0(_235588, _235050))], (1178 ^ _199041) ^ [] : [-(sbrdtbr0(_235588) = _235048)]]], (1180 ^ _199041) ^ [_235851] : [-(aElementOf0(_235851, _235328)), aSubsetOf0(_235851, _235050), sbrdtbr0(_235851) = _235048]]]]], (1215 ^ _199041) ^ [_236990] : [aSet0(_236990), isFinite0(_236990), 1222 ^ _199041 : [(1223 ^ _199041) ^ [_237206] : [aElementOf0(_237206, szNzAzT0), -(isFinite0(slbdtsldtrb0(_236990, _237206)))]]], (1229 ^ _199041) ^ [_237415] : [aSet0(_237415), -(isFinite0(_237415)), 1236 ^ _199041 : [(1237 ^ _199041) ^ [_237637] : [aElementOf0(_237637, szNzAzT0), slbdtsldtrb0(_237415, _237637) = slcrc0]]], (1243 ^ _199041) ^ [_237849] : [aSet0(_237849), isCountable0(_237849), 1250 ^ _199041 : [(1251 ^ _199041) ^ [_238073] : [-(isCountable0(slbdtsldtrb0(_237849, _238073))), aElementOf0(_238073, szNzAzT0), -(_238073 = sz00)]]], (1261 ^ _199041) ^ [_238374] : [aElementOf0(_238374, szNzAzT0), 1264 ^ _199041 : [(1265 ^ _199041) ^ [_238561, _238563] : [aSet0(_238563), aSet0(_238561), -(_238374 = sz00), -(aSubsetOf0(_238563, _238561)), aSubsetOf0(slbdtsldtrb0(_238563, _238374), slbdtsldtrb0(_238561, _238374)), -(slbdtsldtrb0(_238563, _238374) = slcrc0)]]], (1287 ^ _199041) ^ [_239180, _239182] : [aSet0(_239182), aElementOf0(_239180, szNzAzT0), 1294 ^ _199041 : [(1295 ^ _199041) ^ [_239431] : [1303 ^ _199041 : [(1304 ^ _199041) ^ [] : [-(aSubsetOf0(1302 ^ [_239180, _239182, _239431], _239182))], (1306 ^ _199041) ^ [] : [-(isFinite0(1302 ^ [_239180, _239182, _239431]))], (1308 ^ _199041) ^ [] : [-(aSubsetOf0(_239431, slbdtsldtrb0(1302 ^ [_239180, _239182, _239431], _239180)))]], aSubsetOf0(_239431, slbdtsldtrb0(_239182, _239180)), isFinite0(_239431)]]], (1310 ^ _199041) ^ [_239993] : [aFunction0(_239993), true___, -(true___)], (1320 ^ _199041) ^ [_240248] : [aFunction0(_240248), -(aSet0(szDzozmdt0(_240248)))], (1326 ^ _199041) ^ [_240438] : [aFunction0(_240438), 1329 ^ _199041 : [(1330 ^ _199041) ^ [_240573] : [aElementOf0(_240573, szDzozmdt0(_240438)), -(aElement0(sdtlpdtrp0(_240438, _240573)))]]], (1336 ^ _199041) ^ [_240798, _240800] : [aFunction0(_240800), aElement0(_240798), 1343 ^ _199041 : [(1368 ^ _199041) ^ [_241907] : [-(_241907 = sdtlbdtrb0(_240800, _240798)), aSet0(_241907), 1384 ^ _199041 : [(1385 ^ _199041) ^ [] : [-(aElementOf0(1373 ^ [_240798, _240800, _241907], szDzozmdt0(_240800)))], (1387 ^ _199041) ^ [] : [-(sdtlpdtrp0(_240800, 1373 ^ [_240798, _240800, _241907]) = _240798)], (1389 ^ _199041) ^ [] : [aElementOf0(1373 ^ [_240798, _240800, _241907], _241907)]], 1376 ^ _199041 : [(1377 ^ _199041) ^ [] : [-(aElementOf0(1373 ^ [_240798, _240800, _241907], _241907))], (1379 ^ _199041) ^ [] : [aElementOf0(1373 ^ [_240798, _240800, _241907], szDzozmdt0(_240800)), sdtlpdtrp0(_240800, 1373 ^ [_240798, _240800, _241907]) = _240798]]], (1344 ^ _199041) ^ [_241079] : [_241079 = sdtlbdtrb0(_240800, _240798), 1347 ^ _199041 : [(1348 ^ _199041) ^ [] : [-(aSet0(_241079))], (1350 ^ _199041) ^ [_241342] : [aElementOf0(_241342, _241079), 1353 ^ _199041 : [(1354 ^ _199041) ^ [] : [-(aElementOf0(_241342, szDzozmdt0(_240800)))], (1356 ^ _199041) ^ [] : [-(sdtlpdtrp0(_240800, _241342) = _240798)]]], (1358 ^ _199041) ^ [_241611] : [-(aElementOf0(_241611, _241079)), aElementOf0(_241611, szDzozmdt0(_240800)), sdtlpdtrp0(_240800, _241611) = _240798]]]]], (1393 ^ _199041) ^ [_242782, _242784] : [-(aSubsetOf0(sdtlbdtrb0(_242784, _242782), szDzozmdt0(_242784))), aFunction0(_242784), aElement0(_242782)], (1403 ^ _199041) ^ [_243073] : [aFunction0(_243073), 1406 ^ _199041 : [(1407 ^ _199041) ^ [_243250] : [aSubsetOf0(_243250, szDzozmdt0(_243073)), 1410 ^ _199041 : [(1436 ^ _199041) ^ [_244437] : [-(_244437 = sdtlcdtrc0(_243073, _243250)), aSet0(_244437), 1453 ^ _199041 : [(1454 ^ _199041) ^ [] : [-(aElementOf0(1452 ^ [_243073, _243250, _244437], _243250))], (1456 ^ _199041) ^ [] : [-(sdtlpdtrp0(_243073, 1452 ^ [_243073, _243250, _244437]) = 1441 ^ [_243073, _243250, _244437])], (1458 ^ _199041) ^ [] : [aElementOf0(1441 ^ [_243073, _243250, _244437], _244437)]], 1444 ^ _199041 : [(1445 ^ _199041) ^ [] : [-(aElementOf0(1441 ^ [_243073, _243250, _244437], _244437))], (1447 ^ _199041) ^ [_244830] : [aElementOf0(_244830, _243250), sdtlpdtrp0(_243073, _244830) = 1441 ^ [_243073, _243250, _244437]]]], (1411 ^ _199041) ^ [_243455] : [_243455 = sdtlcdtrc0(_243073, _243250), 1414 ^ _199041 : [(1415 ^ _199041) ^ [] : [-(aSet0(_243455))], (1417 ^ _199041) ^ [_243721] : [aElementOf0(_243721, _243455), 1421 ^ _199041 : [(1422 ^ _199041) ^ [] : [-(aElementOf0(1420 ^ [_243073, _243250, _243455, _243721], _243250))], (1424 ^ _199041) ^ [] : [-(sdtlpdtrp0(_243073, 1420 ^ [_243073, _243250, _243455, _243721]) = _243721)]]], (1426 ^ _199041) ^ [_244075] : [-(aElementOf0(_244075, _243455)), 1427 ^ _199041 : [(1428 ^ _199041) ^ [_244180] : [aElementOf0(_244180, _243250), sdtlpdtrp0(_243073, _244180) = _244075]]]]]]]]], (1462 ^ _199041) ^ [_245441] : [aFunction0(_245441), 1465 ^ _199041 : [(1466 ^ _199041) ^ [_245582] : [aElementOf0(_245582, szDzozmdt0(_245441)), -(aElementOf0(sdtlpdtrp0(_245441, _245582), sdtlcdtrc0(_245441, szDzozmdt0(_245441))))]]], (1472 ^ _199041) ^ [_245805] : [aFunction0(_245805), 1475 ^ _199041 : [(1476 ^ _199041) ^ [_245982] : [aSubsetOf0(_245982, szDzozmdt0(_245805)), 1479 ^ _199041 : [(1480 ^ _199041) ^ [_246187] : [_246187 = sdtexdt0(_245805, _245982), 1483 ^ _199041 : [(1484 ^ _199041) ^ [] : [-(aFunction0(_246187))], (1486 ^ _199041) ^ [] : [-(szDzozmdt0(_246187) = _245982)], (1488 ^ _199041) ^ [_246494] : [aElementOf0(_246494, _245982), -(sdtlpdtrp0(_246187, _246494) = sdtlpdtrp0(_245805, _246494))]]], (1494 ^ _199041) ^ [_246695] : [-(_246695 = sdtexdt0(_245805, _245982)), aFunction0(_246695), szDzozmdt0(_246695) = _245982, 1504 ^ _199041 : [(1505 ^ _199041) ^ [] : [-(aElementOf0(1503 ^ [_245805, _245982, _246695], _245982))], (1507 ^ _199041) ^ [] : [sdtlpdtrp0(_246695, 1503 ^ [_245805, _245982, _246695]) = sdtlpdtrp0(_245805, 1503 ^ [_245805, _245982, _246695])]]]]]]], (1511 ^ _199041) ^ [_247289] : [aFunction0(_247289), 1514 ^ _199041 : [(1515 ^ _199041) ^ [_247477] : [aSubsetOf0(_247477, szDzozmdt0(_247289)), isCountable0(_247477), 1526 ^ _199041 : [(1527 ^ _199041) ^ [] : [-(aElementOf0(1524 ^ [_247289, _247477], szDzozmdt0(_247289)))], (1529 ^ _199041) ^ [] : [-(aElementOf0(1525 ^ [_247289, _247477], szDzozmdt0(_247289)))], (1531 ^ _199041) ^ [] : [1524 ^ [_247289, _247477] = 1525 ^ [_247289, _247477]], (1533 ^ _199041) ^ [] : [-(sdtlpdtrp0(_247289, 1524 ^ [_247289, _247477]) = sdtlpdtrp0(_247289, 1525 ^ [_247289, _247477]))]], -(isCountable0(sdtlcdtrc0(_247289, _247477)))]]], (1537 ^ _199041) ^ [_248349] : [aFunction0(_248349), 1548 ^ _199041 : [(1549 ^ _199041) ^ [] : [-(aElement0(szDzizrdt0(_248349)))], (1551 ^ _199041) ^ [] : [-(isCountable0(sdtlbdtrb0(_248349, szDzizrdt0(_248349))))]], isCountable0(szDzozmdt0(_248349)), isFinite0(sdtlcdtrc0(_248349, szDzozmdt0(_248349)))], (1553 ^ _199041) ^ [] : [-(aSet0(xT))], (1555 ^ _199041) ^ [] : [-(isFinite0(xT))], (1557 ^ _199041) ^ [] : [-(aElementOf0(xK, szNzAzT0))], (1559 ^ _199041) ^ [] : [-(aSubsetOf0(xS, szNzAzT0))], (1561 ^ _199041) ^ [] : [-(isCountable0(xS))], (1563 ^ _199041) ^ [] : [-(aFunction0(xc))], (1565 ^ _199041) ^ [] : [-(szDzozmdt0(xc) = slbdtsldtrb0(xS, xK))], (1567 ^ _199041) ^ [] : [-(aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT))], (1569 ^ _199041) ^ [_249232] : [aElementOf0(_249232, szNzAzT0), 1572 ^ _199041 : [(1573 ^ _199041) ^ [_249452] : [aSubsetOf0(_249452, szNzAzT0), isCountable0(_249452), 1580 ^ _199041 : [(1581 ^ _199041) ^ [_249749] : [aFunction0(_249749), szDzozmdt0(_249749) = slbdtsldtrb0(_249452, _249232), aSubsetOf0(sdtlcdtrc0(_249749, szDzozmdt0(_249749)), xT), iLess0(_249232, xK), 1597 ^ _199041 : [(1598 ^ _199041) ^ [] : [-(aElementOf0(1596 ^ [_249232, _249452, _249749], xT))], (1601 ^ _199041) ^ [] : [-(aSubsetOf0(1599 ^ [_249232, _249452, _249749], _249452))], (1603 ^ _199041) ^ [] : [-(isCountable0(1599 ^ [_249232, _249452, _249749]))], (1605 ^ _199041) ^ [_250624] : [aElementOf0(_250624, slbdtsldtrb0(1599 ^ [_249232, _249452, _249749], _249232)), -(sdtlpdtrp0(_249749, _250624) = 1596 ^ [_249232, _249452, _249749])]]]]]]], (1611 ^ _199041) ^ [] : [xK = sz00], (1613 ^ _199041) ^ [] : [xK = sz00], (1615 ^ _199041) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1617 ^ _199041) ^ [] : [-(szszuzczcdt0(xk) = xK)], (1619 ^ _199041) ^ [] : [-(aFunction0(xN))], (1621 ^ _199041) ^ [] : [-(szDzozmdt0(xN) = szNzAzT0)], (1623 ^ _199041) ^ [] : [-(sdtlpdtrp0(xN, sz00) = xS)], (1625 ^ _199041) ^ [_251288] : [aElementOf0(_251288, szNzAzT0), 1636 ^ _199041 : [(1637 ^ _199041) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(_251288)), sdtmndt0(sdtlpdtrp0(xN, _251288), szmzizndt0(sdtlpdtrp0(xN, _251288)))))], (1639 ^ _199041) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(_251288))))]], aSubsetOf0(sdtlpdtrp0(xN, _251288), szNzAzT0), isCountable0(sdtlpdtrp0(xN, _251288))], (1641 ^ _199041) ^ [_251777] : [aElementOf0(_251777, szNzAzT0), 1644 ^ _199041 : [(1645 ^ _199041) ^ [] : [-(aSubsetOf0(sdtlpdtrp0(xN, _251777), szNzAzT0))], (1647 ^ _199041) ^ [] : [-(isCountable0(sdtlpdtrp0(xN, _251777)))]]], (1663 ^ _199041) ^ [] : [-(aElementOf0(xi, szNzAzT0))], (1665 ^ _199041) ^ [] : [-(aElementOf0(xj, szNzAzT0))], (1667 ^ _199041) ^ [] : [-(xi = xj), -(sdtlseqdt0(szszuzczcdt0(xj), xi)), -(sdtlseqdt0(szszuzczcdt0(xi), xj))], (1649 ^ _199041) ^ [_252064, _252066] : [aElementOf0(_252066, szNzAzT0), aElementOf0(_252064, szNzAzT0), sdtlseqdt0(_252064, _252066), -(aSubsetOf0(sdtlpdtrp0(xN, _252066), sdtlpdtrp0(xN, _252064)))]], input).
% 0.80/1.38 ncf('1',plain,[xi = xj],start(1693 ^ 0)).
% 0.80/1.38 ncf('1.1',plain,[-(xi = xj), -(sdtlseqdt0(szszuzczcdt0(xj), xi)), -(sdtlseqdt0(szszuzczcdt0(xi), xj))],extension(1667 ^ 1)).
% 0.80/1.38 ncf('1.1.1',plain,[sdtlseqdt0(szszuzczcdt0(xj), xi), aElementOf0(xj, szNzAzT0), aElementOf0(xi, szNzAzT0), 1691 : szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj))],extension(1677 ^ 2,bind([[_253350, _253352], [xi, xj]]))).
% 0.80/1.38 ncf('1.1.1.1',plain,[-(aElementOf0(xj, szNzAzT0))],extension(1665 ^ 3)).
% 0.80/1.38 ncf('1.1.1.2',plain,[-(aElementOf0(xi, szNzAzT0))],extension(1663 ^ 3)).
% 0.80/1.38 ncf('1.1.1.3',plain,[-(szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj)))],extension(1695 ^ 5)).
% 0.80/1.38 ncf('1.1.2',plain,[sdtlseqdt0(szszuzczcdt0(xi), xj), aElementOf0(xi, szNzAzT0), aElementOf0(xj, szNzAzT0), 1691 : szmzizndt0(sdtlpdtrp0(xN, xj)) = szmzizndt0(sdtlpdtrp0(xN, xi))],extension(1677 ^ 2,bind([[_253350, _253352], [xj, xi]]))).
% 0.80/1.38 ncf('1.1.2.1',plain,[-(aElementOf0(xi, szNzAzT0))],extension(1663 ^ 3)).
% 0.80/1.38 ncf('1.1.2.2',plain,[-(aElementOf0(xj, szNzAzT0))],extension(1665 ^ 3)).
% 0.80/1.38 ncf('1.1.2.3',plain,[-(szmzizndt0(sdtlpdtrp0(xN, xj)) = szmzizndt0(sdtlpdtrp0(xN, xi))), szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj))],extension(4 ^ 5,bind([[_199292, _199294], [szmzizndt0(sdtlpdtrp0(xN, xj)), szmzizndt0(sdtlpdtrp0(xN, xi))]]))).
% 0.80/1.38 ncf('1.1.2.3.1',plain,[-(szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj)))],extension(1695 ^ 6)).
% 0.80/1.38 %-----------------------------------------------------
% 0.80/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------