TSTP Solution File: NUM440+6 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 11:44:38 EDT 2023

% Result   : Theorem 9.27s 9.69s
% Output   : Proof 9.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 17:09:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 9.27/9.69  
% 9.27/9.69  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 9.27/9.69  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.27/9.69  %-----------------------------------------------------
% 9.27/9.69  ncf(matrix, plain, [(1258 ^ _209920) ^ [] : [1259 ^ _209920 : [(1295 ^ _209920) ^ [] : [-(aElementOf0(1293 ^ [], stldt0(xA)))], (1297 ^ _209920) ^ [] : [aElementOf0(1293 ^ [], cS1395)], (1299 ^ _209920) ^ [] : [aSubsetOf0(stldt0(xA), cS1395)], (1280 ^ _209920) ^ [] : [-(aSet0(cS1395))], (1282 ^ _209920) ^ [_252045] : [aElementOf0(_252045, cS1395), -(aInteger0(_252045))], (1288 ^ _209920) ^ [_252199] : [aInteger0(_252199), -(aElementOf0(_252199, cS1395))], (1260 ^ _209920) ^ [] : [-(aSet0(stldt0(xA)))], (1262 ^ _209920) ^ [_251455] : [aElementOf0(_251455, stldt0(xA)), 1265 ^ _209920 : [(1266 ^ _209920) ^ [] : [-(aInteger0(_251455))], (1268 ^ _209920) ^ [] : [aElementOf0(_251455, xA)]]], (1270 ^ _209920) ^ [_251683] : [-(aElementOf0(_251683, stldt0(xA))), aInteger0(_251683), -(aElementOf0(_251683, xA))]], 1302 ^ _209920 : [(1338 ^ _209920) ^ [] : [-(aElementOf0(1336 ^ [], stldt0(xB)))], (1340 ^ _209920) ^ [] : [aElementOf0(1336 ^ [], cS1395)], (1342 ^ _209920) ^ [] : [aSubsetOf0(stldt0(xB), cS1395)], (1323 ^ _209920) ^ [] : [-(aSet0(cS1395))], (1325 ^ _209920) ^ [_253297] : [aElementOf0(_253297, cS1395), -(aInteger0(_253297))], (1331 ^ _209920) ^ [_253451] : [aInteger0(_253451), -(aElementOf0(_253451, cS1395))], (1303 ^ _209920) ^ [] : [-(aSet0(stldt0(xB)))], (1305 ^ _209920) ^ [_252707] : [aElementOf0(_252707, stldt0(xB)), 1308 ^ _209920 : [(1309 ^ _209920) ^ [] : [-(aInteger0(_252707))], (1311 ^ _209920) ^ [] : [aElementOf0(_252707, xB)]]], (1313 ^ _209920) ^ [_252935] : [-(aElementOf0(_252935, stldt0(xB))), aInteger0(_252935), -(aElementOf0(_252935, xB))]], 1343 ^ _209920 : [(1344 ^ _209920) ^ [] : [-(aSet0(sdtbsmnsldt0(xA, xB)))], (1346 ^ _209920) ^ [_253929] : [aElementOf0(_253929, sdtbsmnsldt0(xA, xB)), 1349 ^ _209920 : [(1350 ^ _209920) ^ [] : [-(aInteger0(_253929))], (1352 ^ _209920) ^ [] : [-(aElementOf0(_253929, xA)), -(aElementOf0(_253929, xB))]]], (1358 ^ _209920) ^ [_254242] : [-(aElementOf0(_254242, sdtbsmnsldt0(xA, xB))), aInteger0(_254242), 1363 ^ _209920 : [(1364 ^ _209920) ^ [] : [aElementOf0(_254242, xA)], (1366 ^ _209920) ^ [] : [aElementOf0(_254242, xB)]]], (1370 ^ _209920) ^ [] : [-(aSet0(stldt0(sdtbsmnsldt0(xA, xB))))], (1372 ^ _209920) ^ [_254673] : [aElementOf0(_254673, stldt0(sdtbsmnsldt0(xA, xB))), 1375 ^ _209920 : [(1376 ^ _209920) ^ [] : [-(aInteger0(_254673))], (1378 ^ _209920) ^ [] : [aElementOf0(_254673, sdtbsmnsldt0(xA, xB))]]], (1380 ^ _209920) ^ [_254901] : [-(aElementOf0(_254901, stldt0(sdtbsmnsldt0(xA, xB)))), aInteger0(_254901), -(aElementOf0(_254901, sdtbsmnsldt0(xA, xB)))], (1390 ^ _209920) ^ [_255210] : [aElementOf0(_255210, stldt0(xA)), 1393 ^ _209920 : [(1394 ^ _209920) ^ [] : [-(aInteger0(_255210))], (1396 ^ _209920) ^ [] : [aElementOf0(_255210, xA)]]], (1398 ^ _209920) ^ [_255438] : [-(aElementOf0(_255438, stldt0(xA))), aInteger0(_255438), -(aElementOf0(_255438, xA))], (1449 ^ _209920) ^ [] : [stldt0(sdtbsmnsldt0(xA, xB)) = sdtslmnbsdt0(stldt0(xA), stldt0(xB))], (1427 ^ _209920) ^ [] : [1440 ^ _209920 : [(1441 ^ _209920) ^ [] : [-(aInteger0(1425 ^ []))], (1443 ^ _209920) ^ [] : [-(aElementOf0(1425 ^ [], stldt0(xA)))], (1445 ^ _209920) ^ [] : [-(aElementOf0(1425 ^ [], stldt0(xB)))], (1447 ^ _209920) ^ [] : [aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB)))]], 1428 ^ _209920 : [(1429 ^ _209920) ^ [] : [-(aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB))))], (1431 ^ _209920) ^ [] : [aInteger0(1425 ^ []), aElementOf0(1425 ^ [], stldt0(xA)), aElementOf0(1425 ^ [], stldt0(xB))]]], (1408 ^ _209920) ^ [_255745] : [aElementOf0(_255745, stldt0(xB)), 1411 ^ _209920 : [(1412 ^ _209920) ^ [] : [-(aInteger0(_255745))], (1414 ^ _209920) ^ [] : [aElementOf0(_255745, xB)]]], (1416 ^ _209920) ^ [_255973] : [-(aElementOf0(_255973, stldt0(xB))), aInteger0(_255973), -(aElementOf0(_255973, xB))]]], (140 ^ _209920) ^ [_214403, _214405] : [_214405 = _214403, -(sbsmnsldt0(_214405) = sbsmnsldt0(_214403))], (146 ^ _209920) ^ [_214649, _214651, _214653, _214655] : [-(sdtasdt0(_214655, _214651) = sdtasdt0(_214653, _214649)), _214655 = _214653, _214651 = _214649], (156 ^ _209920) ^ [_215008, _215010, _215012, _215014] : [-(sdtpldt0(_215014, _215010) = sdtpldt0(_215012, _215008)), _215014 = _215012, _215010 = _215008], (166 ^ _209920) ^ [_215339, _215341] : [_215341 = _215339, -(smndt0(_215341) = smndt0(_215339))], (172 ^ _209920) ^ [_215585, _215587, _215589, _215591] : [-(szAzrzSzezqlpdtcmdtrp0(_215591, _215587) = szAzrzSzezqlpdtcmdtrp0(_215589, _215585)), _215591 = _215589, _215587 = _215585], (182 ^ _209920) ^ [_215944, _215946, _215948, _215950] : [-(sdtbsmnsldt0(_215950, _215946) = sdtbsmnsldt0(_215948, _215944)), _215950 = _215948, _215946 = _215944], (202 ^ _209920) ^ [_216614, _216616] : [_216616 = _216614, -(stldt0(_216616) = stldt0(_216614))], (192 ^ _209920) ^ [_216303, _216305, _216307, _216309] : [-(sdtslmnbsdt0(_216309, _216305) = sdtslmnbsdt0(_216307, _216303)), _216309 = _216307, _216305 = _216303], (2 ^ _209920) ^ [_210064] : [-(_210064 = _210064)], (4 ^ _209920) ^ [_210171, _210173] : [_210173 = _210171, -(_210171 = _210173)], (10 ^ _209920) ^ [_210375, _210377, _210379] : [-(_210379 = _210375), _210379 = _210377, _210377 = _210375], (20 ^ _209920) ^ [_210688, _210690] : [-(isPrime0(_210688)), _210690 = _210688, isPrime0(_210690)], (30 ^ _209920) ^ [_210983, _210985] : [-(isFinite0(_210983)), _210985 = _210983, isFinite0(_210985)], (40 ^ _209920) ^ [_211306, _211308, _211310, _211312] : [-(aDivisorOf0(_211310, _211306)), aDivisorOf0(_211312, _211308), _211312 = _211310, _211308 = _211306], (54 ^ _209920) ^ [_211778, _211780, _211782, _211784, _211786, _211788] : [-(sdteqdtlpzmzozddtrp0(_211786, _211782, _211778)), sdteqdtlpzmzozddtrp0(_211788, _211784, _211780), _211788 = _211786, _211784 = _211782, _211780 = _211778], (72 ^ _209920) ^ [_212331, _212333] : [-(isOpen0(_212331)), _212333 = _212331, isOpen0(_212333)], (82 ^ _209920) ^ [_212626, _212628] : [-(isClosed0(_212626)), _212628 = _212626, isClosed0(_212628)], (92 ^ _209920) ^ [_212949, _212951, _212953, _212955] : [-(aSubsetOf0(_212953, _212949)), aSubsetOf0(_212955, _212951), _212955 = _212953, _212951 = _212949], (106 ^ _209920) ^ [_213365, _213367] : [-(aSet0(_213365)), _213367 = _213365, aSet0(_213367)], (116 ^ _209920) ^ [_213660, _213662] : [-(aInteger0(_213660)), _213662 = _213660, aInteger0(_213662)], (126 ^ _209920) ^ [_213963, _213965, _213967, _213969] : [-(aElementOf0(_213967, _213963)), aElementOf0(_213969, _213965), _213969 = _213967, _213965 = _213963], (208 ^ _209920) ^ [_216880] : [aInteger0(_216880), true___, -(true___)], (218 ^ _209920) ^ [] : [-(aInteger0(sz00))], (220 ^ _209920) ^ [] : [-(aInteger0(sz10))], (222 ^ _209920) ^ [_217241] : [aInteger0(_217241), -(aInteger0(smndt0(_217241)))], (228 ^ _209920) ^ [_217445, _217447] : [-(aInteger0(sdtpldt0(_217447, _217445))), aInteger0(_217447), aInteger0(_217445)], (238 ^ _209920) ^ [_217744, _217746] : [-(aInteger0(sdtasdt0(_217746, _217744))), aInteger0(_217746), aInteger0(_217744)], (248 ^ _209920) ^ [_218057, _218059, _218061] : [-(sdtpldt0(_218061, sdtpldt0(_218059, _218057)) = sdtpldt0(sdtpldt0(_218061, _218059), _218057)), aInteger0(_218061), aInteger0(_218059), aInteger0(_218057)], (262 ^ _209920) ^ [_218477, _218479] : [-(sdtpldt0(_218479, _218477) = sdtpldt0(_218477, _218479)), aInteger0(_218479), aInteger0(_218477)], (272 ^ _209920) ^ [_218770] : [aInteger0(_218770), 275 ^ _209920 : [(276 ^ _209920) ^ [] : [-(sdtpldt0(_218770, sz00) = _218770)], (278 ^ _209920) ^ [] : [-(_218770 = sdtpldt0(sz00, _218770))]]], (280 ^ _209920) ^ [_219043] : [aInteger0(_219043), 283 ^ _209920 : [(284 ^ _209920) ^ [] : [-(sdtpldt0(_219043, smndt0(_219043)) = sz00)], (286 ^ _209920) ^ [] : [-(sz00 = sdtpldt0(smndt0(_219043), _219043))]]], (288 ^ _209920) ^ [_219352, _219354, _219356] : [-(sdtasdt0(_219356, sdtasdt0(_219354, _219352)) = sdtasdt0(sdtasdt0(_219356, _219354), _219352)), aInteger0(_219356), aInteger0(_219354), aInteger0(_219352)], (302 ^ _209920) ^ [_219772, _219774] : [-(sdtasdt0(_219774, _219772) = sdtasdt0(_219772, _219774)), aInteger0(_219774), aInteger0(_219772)], (312 ^ _209920) ^ [_220065] : [aInteger0(_220065), 315 ^ _209920 : [(316 ^ _209920) ^ [] : [-(sdtasdt0(_220065, sz10) = _220065)], (318 ^ _209920) ^ [] : [-(_220065 = sdtasdt0(sz10, _220065))]]], (320 ^ _209920) ^ [_220366, _220368, _220370] : [331 ^ _209920 : [(332 ^ _209920) ^ [] : [-(sdtasdt0(_220370, sdtpldt0(_220368, _220366)) = sdtpldt0(sdtasdt0(_220370, _220368), sdtasdt0(_220370, _220366)))], (334 ^ _209920) ^ [] : [-(sdtasdt0(sdtpldt0(_220370, _220368), _220366) = sdtpldt0(sdtasdt0(_220370, _220366), sdtasdt0(_220368, _220366)))]], aInteger0(_220370), aInteger0(_220368), aInteger0(_220366)], (336 ^ _209920) ^ [_220885] : [aInteger0(_220885), 339 ^ _209920 : [(340 ^ _209920) ^ [] : [-(sdtasdt0(_220885, sz00) = sz00)], (342 ^ _209920) ^ [] : [-(sz00 = sdtasdt0(sz00, _220885))]]], (344 ^ _209920) ^ [_221158] : [aInteger0(_221158), 347 ^ _209920 : [(348 ^ _209920) ^ [] : [-(sdtasdt0(smndt0(sz10), _221158) = smndt0(_221158))], (350 ^ _209920) ^ [] : [-(smndt0(_221158) = sdtasdt0(_221158, smndt0(sz10)))]]], (352 ^ _209920) ^ [_221453, _221455] : [aInteger0(_221455), aInteger0(_221453), sdtasdt0(_221455, _221453) = sz00, -(_221455 = sz00), -(_221453 = sz00)], (370 ^ _209920) ^ [_221921] : [aInteger0(_221921), 373 ^ _209920 : [(374 ^ _209920) ^ [_222107] : [aDivisorOf0(_222107, _221921), 377 ^ _209920 : [(378 ^ _209920) ^ [] : [-(aInteger0(_222107))], (380 ^ _209920) ^ [] : [_222107 = sz00], (383 ^ _209920) ^ [] : [-(aInteger0(381 ^ [_221921, _222107]))], (385 ^ _209920) ^ [] : [-(sdtasdt0(_222107, 381 ^ [_221921, _222107]) = _221921)]]], (387 ^ _209920) ^ [_222569] : [-(aDivisorOf0(_222569, _221921)), aInteger0(_222569), -(_222569 = sz00), 396 ^ _209920 : [(397 ^ _209920) ^ [_222836] : [aInteger0(_222836), sdtasdt0(_222569, _222836) = _221921]]]]], (405 ^ _209920) ^ [_223139, _223141, _223143] : [aInteger0(_223143), aInteger0(_223141), aInteger0(_223139), -(_223139 = sz00), 420 ^ _209920 : [(421 ^ _209920) ^ [] : [sdteqdtlpzmzozddtrp0(_223143, _223141, _223139), -(aDivisorOf0(_223139, sdtpldt0(_223143, smndt0(_223141))))], (427 ^ _209920) ^ [] : [aDivisorOf0(_223139, sdtpldt0(_223143, smndt0(_223141))), -(sdteqdtlpzmzozddtrp0(_223143, _223141, _223139))]]], (433 ^ _209920) ^ [_223915, _223917] : [-(sdteqdtlpzmzozddtrp0(_223917, _223917, _223915)), aInteger0(_223917), aInteger0(_223915), -(_223915 = sz00)], (447 ^ _209920) ^ [_224318, _224320, _224322] : [sdteqdtlpzmzozddtrp0(_224322, _224320, _224318), -(sdteqdtlpzmzozddtrp0(_224320, _224322, _224318)), aInteger0(_224322), aInteger0(_224320), aInteger0(_224318), -(_224318 = sz00)], (469 ^ _209920) ^ [_224937, _224939, _224941, _224943] : [-(sdteqdtlpzmzozddtrp0(_224943, _224937, _224939)), sdteqdtlpzmzozddtrp0(_224943, _224941, _224939), sdteqdtlpzmzozddtrp0(_224941, _224937, _224939), aInteger0(_224943), aInteger0(_224941), aInteger0(_224939), -(_224939 = sz00), aInteger0(_224937)], (499 ^ _209920) ^ [_225774, _225776, _225778, _225780] : [sdteqdtlpzmzozddtrp0(_225780, _225778, sdtasdt0(_225776, _225774)), 526 ^ _209920 : [(527 ^ _209920) ^ [] : [-(sdteqdtlpzmzozddtrp0(_225780, _225778, _225776))], (529 ^ _209920) ^ [] : [-(sdteqdtlpzmzozddtrp0(_225780, _225778, _225774))]], aInteger0(_225780), aInteger0(_225778), aInteger0(_225776), -(_225776 = sz00), aInteger0(_225774), -(_225774 = sz00)], (531 ^ _209920) ^ [_226655] : [aInteger0(_226655), -(_226655 = sz00), isPrime0(_226655), true___, -(true___)], (549 ^ _209920) ^ [_227086] : [aInteger0(_227086), 552 ^ _209920 : [(553 ^ _209920) ^ [] : [560 ^ _209920 : [(561 ^ _209920) ^ [] : [_227086 = sz10], (563 ^ _209920) ^ [] : [_227086 = smndt0(sz10)]], 554 ^ _209920 : [(555 ^ _209920) ^ [_227293] : [aDivisorOf0(_227293, _227086), isPrime0(_227293)]]], (565 ^ _209920) ^ [] : [573 ^ _209920 : [(574 ^ _209920) ^ [] : [-(aDivisorOf0(572 ^ [_227086], _227086))], (576 ^ _209920) ^ [] : [-(isPrime0(572 ^ [_227086]))]], -(_227086 = sz10), -(_227086 = smndt0(sz10))]]], (578 ^ _209920) ^ [_227935] : [aSet0(_227935), true___, -(true___)], (588 ^ _209920) ^ [_228190] : [aSet0(_228190), 591 ^ _209920 : [(592 ^ _209920) ^ [_228318] : [aElementOf0(_228318, _228190), true___, -(true___)]]], (602 ^ _209920) ^ [_228595] : [aSet0(_228595), 605 ^ _209920 : [(606 ^ _209920) ^ [_228771] : [aSubsetOf0(_228771, _228595), 609 ^ _209920 : [(610 ^ _209920) ^ [] : [-(aSet0(_228771))], (612 ^ _209920) ^ [_228980] : [aElementOf0(_228980, _228771), -(aElementOf0(_228980, _228595))]]], (618 ^ _209920) ^ [_229159] : [-(aSubsetOf0(_229159, _228595)), aSet0(_229159), 624 ^ _209920 : [(625 ^ _209920) ^ [] : [-(aElementOf0(623 ^ [_228595, _229159], _229159))], (627 ^ _209920) ^ [] : [aElementOf0(623 ^ [_228595, _229159], _228595)]]]]], (631 ^ _209920) ^ [_229596] : [aSet0(_229596), isFinite0(_229596), true___, -(true___)], (645 ^ _209920) ^ [_229951, _229953] : [aSubsetOf0(_229953, cS1395), aSubsetOf0(_229951, cS1395), 652 ^ _209920 : [(683 ^ _209920) ^ [_231216] : [-(_231216 = sdtbsmnsldt0(_229953, _229951)), aSet0(_231216), 691 ^ _209920 : [(692 ^ _209920) ^ [] : [-(aElementOf0(688 ^ [_229951, _229953, _231216], _231216))], (694 ^ _209920) ^ [] : [aInteger0(688 ^ [_229951, _229953, _231216]), 697 ^ _209920 : [(698 ^ _209920) ^ [] : [aElementOf0(688 ^ [_229951, _229953, _231216], _229953)], (700 ^ _209920) ^ [] : [aElementOf0(688 ^ [_229951, _229953, _231216], _229951)]]]], 701 ^ _209920 : [(710 ^ _209920) ^ [] : [aElementOf0(688 ^ [_229951, _229953, _231216], _231216)], (702 ^ _209920) ^ [] : [-(aInteger0(688 ^ [_229951, _229953, _231216]))], (704 ^ _209920) ^ [] : [-(aElementOf0(688 ^ [_229951, _229953, _231216], _229953)), -(aElementOf0(688 ^ [_229951, _229953, _231216], _229951))]]], (653 ^ _209920) ^ [_230236] : [_230236 = sdtbsmnsldt0(_229953, _229951), 656 ^ _209920 : [(657 ^ _209920) ^ [] : [-(aSet0(_230236))], (659 ^ _209920) ^ [_230499] : [aElementOf0(_230499, _230236), 662 ^ _209920 : [(663 ^ _209920) ^ [] : [-(aInteger0(_230499))], (665 ^ _209920) ^ [] : [-(aElementOf0(_230499, _229953)), -(aElementOf0(_230499, _229951))]]], (671 ^ _209920) ^ [_230854] : [-(aElementOf0(_230854, _230236)), aInteger0(_230854), 676 ^ _209920 : [(677 ^ _209920) ^ [] : [aElementOf0(_230854, _229953)], (679 ^ _209920) ^ [] : [aElementOf0(_230854, _229951)]]]]]]], (714 ^ _209920) ^ [_232253, _232255] : [aSubsetOf0(_232255, cS1395), aSubsetOf0(_232253, cS1395), 721 ^ _209920 : [(752 ^ _209920) ^ [_233517] : [-(_233517 = sdtslmnbsdt0(_232255, _232253)), aSet0(_233517), 772 ^ _209920 : [(773 ^ _209920) ^ [] : [-(aInteger0(757 ^ [_232253, _232255, _233517]))], (775 ^ _209920) ^ [] : [-(aElementOf0(757 ^ [_232253, _232255, _233517], _232255))], (777 ^ _209920) ^ [] : [-(aElementOf0(757 ^ [_232253, _232255, _233517], _232253))], (779 ^ _209920) ^ [] : [aElementOf0(757 ^ [_232253, _232255, _233517], _233517)]], 760 ^ _209920 : [(761 ^ _209920) ^ [] : [-(aElementOf0(757 ^ [_232253, _232255, _233517], _233517))], (763 ^ _209920) ^ [] : [aInteger0(757 ^ [_232253, _232255, _233517]), aElementOf0(757 ^ [_232253, _232255, _233517], _232255), aElementOf0(757 ^ [_232253, _232255, _233517], _232253)]]], (722 ^ _209920) ^ [_232538] : [_232538 = sdtslmnbsdt0(_232255, _232253), 725 ^ _209920 : [(726 ^ _209920) ^ [] : [-(aSet0(_232538))], (728 ^ _209920) ^ [_232801] : [aElementOf0(_232801, _232538), 731 ^ _209920 : [(732 ^ _209920) ^ [] : [-(aInteger0(_232801))], (734 ^ _209920) ^ [] : [-(aElementOf0(_232801, _232255))], (736 ^ _209920) ^ [] : [-(aElementOf0(_232801, _232253))]]], (738 ^ _209920) ^ [_233136] : [-(aElementOf0(_233136, _232538)), aInteger0(_233136), aElementOf0(_233136, _232255), aElementOf0(_233136, _232253)]]]]], (783 ^ _209920) ^ [_234543] : [aSet0(_234543), 789 ^ _209920 : [(790 ^ _209920) ^ [] : [-(aElementOf0(788 ^ [_234543], _234543))], (792 ^ _209920) ^ [] : [aSubsetOf0(788 ^ [_234543], cS1395)]], 793 ^ _209920 : [(825 ^ _209920) ^ [_236046] : [-(_236046 = sbsmnsldt0(_234543)), aSet0(_236046), 845 ^ _209920 : [(846 ^ _209920) ^ [] : [-(aInteger0(830 ^ [_234543, _236046]))], (849 ^ _209920) ^ [] : [-(aElementOf0(847 ^ [_234543, _236046], _234543))], (851 ^ _209920) ^ [] : [-(aElementOf0(830 ^ [_234543, _236046], 847 ^ [_234543, _236046]))], (853 ^ _209920) ^ [] : [aElementOf0(830 ^ [_234543, _236046], _236046)]], 833 ^ _209920 : [(834 ^ _209920) ^ [] : [-(aElementOf0(830 ^ [_234543, _236046], _236046))], (836 ^ _209920) ^ [] : [aInteger0(830 ^ [_234543, _236046]), 839 ^ _209920 : [(840 ^ _209920) ^ [_236509] : [aElementOf0(_236509, _234543), aElementOf0(830 ^ [_234543, _236046], _236509)]]]]], (794 ^ _209920) ^ [_234957] : [_234957 = sbsmnsldt0(_234543), 797 ^ _209920 : [(798 ^ _209920) ^ [] : [-(aSet0(_234957))], (800 ^ _209920) ^ [_235215] : [aElementOf0(_235215, _234957), 803 ^ _209920 : [(804 ^ _209920) ^ [] : [-(aInteger0(_235215))], (807 ^ _209920) ^ [] : [-(aElementOf0(805 ^ [_234543, _234957, _235215], _234543))], (809 ^ _209920) ^ [] : [-(aElementOf0(_235215, 805 ^ [_234543, _234957, _235215]))]]], (811 ^ _209920) ^ [_235616] : [-(aElementOf0(_235616, _234957)), aInteger0(_235616), 816 ^ _209920 : [(817 ^ _209920) ^ [_235801] : [aElementOf0(_235801, _234543), aElementOf0(_235616, _235801)]]]]]]], (857 ^ _209920) ^ [_237151] : [aSubsetOf0(_237151, cS1395), 860 ^ _209920 : [(885 ^ _209920) ^ [_238110] : [-(_238110 = stldt0(_237151)), aSet0(_238110), 901 ^ _209920 : [(902 ^ _209920) ^ [] : [-(aInteger0(890 ^ [_237151, _238110]))], (904 ^ _209920) ^ [] : [aElementOf0(890 ^ [_237151, _238110], _237151)], (906 ^ _209920) ^ [] : [aElementOf0(890 ^ [_237151, _238110], _238110)]], 893 ^ _209920 : [(894 ^ _209920) ^ [] : [-(aElementOf0(890 ^ [_237151, _238110], _238110))], (896 ^ _209920) ^ [] : [aInteger0(890 ^ [_237151, _238110]), -(aElementOf0(890 ^ [_237151, _238110], _237151))]]], (861 ^ _209920) ^ [_237338] : [_237338 = stldt0(_237151), 864 ^ _209920 : [(865 ^ _209920) ^ [] : [-(aSet0(_237338))], (867 ^ _209920) ^ [_237587] : [aElementOf0(_237587, _237338), 870 ^ _209920 : [(871 ^ _209920) ^ [] : [-(aInteger0(_237587))], (873 ^ _209920) ^ [] : [aElementOf0(_237587, _237151)]]], (875 ^ _209920) ^ [_237835] : [-(aElementOf0(_237835, _237338)), aInteger0(_237835), -(aElementOf0(_237835, _237151))]]]]], (910 ^ _209920) ^ [_238919, _238921] : [aInteger0(_238921), aInteger0(_238919), -(_238919 = sz00), 921 ^ _209920 : [(946 ^ _209920) ^ [_240090] : [-(_240090 = szAzrzSzezqlpdtcmdtrp0(_238921, _238919)), aSet0(_240090), 962 ^ _209920 : [(963 ^ _209920) ^ [] : [-(aInteger0(951 ^ [_238919, _238921, _240090]))], (965 ^ _209920) ^ [] : [-(sdteqdtlpzmzozddtrp0(951 ^ [_238919, _238921, _240090], _238921, _238919))], (967 ^ _209920) ^ [] : [aElementOf0(951 ^ [_238919, _238921, _240090], _240090)]], 954 ^ _209920 : [(955 ^ _209920) ^ [] : [-(aElementOf0(951 ^ [_238919, _238921, _240090], _240090))], (957 ^ _209920) ^ [] : [aInteger0(951 ^ [_238919, _238921, _240090]), sdteqdtlpzmzozddtrp0(951 ^ [_238919, _238921, _240090], _238921, _238919)]]], (922 ^ _209920) ^ [_239287] : [_239287 = szAzrzSzezqlpdtcmdtrp0(_238921, _238919), 925 ^ _209920 : [(926 ^ _209920) ^ [] : [-(aSet0(_239287))], (928 ^ _209920) ^ [_239545] : [aElementOf0(_239545, _239287), 931 ^ _209920 : [(932 ^ _209920) ^ [] : [-(aInteger0(_239545))], (934 ^ _209920) ^ [] : [-(sdteqdtlpzmzozddtrp0(_239545, _238921, _238919))]]], (936 ^ _209920) ^ [_239804] : [-(aElementOf0(_239804, _239287)), aInteger0(_239804), sdteqdtlpzmzozddtrp0(_239804, _238921, _238919)]]]]], (971 ^ _209920) ^ [_240933] : [aSubsetOf0(_240933, cS1395), 974 ^ _209920 : [(975 ^ _209920) ^ [] : [isOpen0(_240933), 978 ^ _209920 : [(979 ^ _209920) ^ [_241195] : [aElementOf0(_241195, _240933), 983 ^ _209920 : [(984 ^ _209920) ^ [] : [-(aInteger0(982 ^ [_240933, _241195]))], (986 ^ _209920) ^ [] : [982 ^ [_240933, _241195] = sz00], (988 ^ _209920) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_241195, 982 ^ [_240933, _241195]), _240933))]]]]], (990 ^ _209920) ^ [] : [-(isOpen0(_240933)), 992 ^ _209920 : [(993 ^ _209920) ^ [] : [-(aElementOf0(991 ^ [_240933], _240933))], (995 ^ _209920) ^ [_241788] : [aInteger0(_241788), -(_241788 = sz00), aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(991 ^ [_240933], _241788), _240933)]]]]], (1007 ^ _209920) ^ [_242148] : [aSubsetOf0(_242148, cS1395), 1010 ^ _209920 : [(1011 ^ _209920) ^ [] : [isClosed0(_242148), -(isOpen0(stldt0(_242148)))], (1017 ^ _209920) ^ [] : [isOpen0(stldt0(_242148)), -(isClosed0(_242148))]]], (1023 ^ _209920) ^ [_242578] : [-(isOpen0(sbsmnsldt0(_242578))), aSet0(_242578), 1029 ^ _209920 : [(1030 ^ _209920) ^ [] : [-(aElementOf0(1028 ^ [_242578], _242578))], (1032 ^ _209920) ^ [] : [aSubsetOf0(1028 ^ [_242578], cS1395), isOpen0(1028 ^ [_242578])]]], (1040 ^ _209920) ^ [_243095, _243097] : [-(isOpen0(sdtslmnbsdt0(_243097, _243095))), aSubsetOf0(_243097, cS1395), aSubsetOf0(_243095, cS1395), isOpen0(_243097), isOpen0(_243095)], (1058 ^ _209920) ^ [] : [-(aSet0(cS1395))], (1060 ^ _209920) ^ [_243640] : [aElementOf0(_243640, cS1395), -(aInteger0(_243640))], (1066 ^ _209920) ^ [_243794] : [aInteger0(_243794), -(aElementOf0(_243794, cS1395))], (1072 ^ _209920) ^ [] : [-(aSet0(xA))], (1074 ^ _209920) ^ [_244037] : [aElementOf0(_244037, xA), -(aElementOf0(_244037, cS1395))], (1080 ^ _209920) ^ [] : [-(aSubsetOf0(xA, cS1395))], (1082 ^ _209920) ^ [] : [-(aSet0(cS1395))], (1084 ^ _209920) ^ [_244362] : [aElementOf0(_244362, cS1395), -(aInteger0(_244362))], (1090 ^ _209920) ^ [_244516] : [aInteger0(_244516), -(aElementOf0(_244516, cS1395))], (1096 ^ _209920) ^ [] : [-(aSet0(xB))], (1098 ^ _209920) ^ [_244759] : [aElementOf0(_244759, xB), -(aElementOf0(_244759, cS1395))], (1104 ^ _209920) ^ [] : [-(aSubsetOf0(xB, cS1395))], (1106 ^ _209920) ^ [] : [-(aSet0(stldt0(xA)))], (1108 ^ _209920) ^ [_245084] : [aElementOf0(_245084, stldt0(xA)), 1111 ^ _209920 : [(1112 ^ _209920) ^ [] : [-(aInteger0(_245084))], (1114 ^ _209920) ^ [] : [aElementOf0(_245084, xA)]]], (1116 ^ _209920) ^ [_245312] : [-(aElementOf0(_245312, stldt0(xA))), aInteger0(_245312), -(aElementOf0(_245312, xA))], (1126 ^ _209920) ^ [_245590] : [aElementOf0(_245590, stldt0(xA)), 1130 ^ _209920 : [(1131 ^ _209920) ^ [] : [-(aInteger0(1129 ^ [_245590]))], (1133 ^ _209920) ^ [] : [1129 ^ [_245590] = sz00], (1135 ^ _209920) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(_245590, 1129 ^ [_245590])))], (1176 ^ _209920) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_245590, 1129 ^ [_245590]), stldt0(xA)))], (1170 ^ _209920) ^ [_247613] : [aElementOf0(_247613, szAzrzSzezqlpdtcmdtrp0(_245590, 1129 ^ [_245590])), -(aElementOf0(_247613, stldt0(xA)))], (1137 ^ _209920) ^ [_246327] : [aElementOf0(_246327, szAzrzSzezqlpdtcmdtrp0(_245590, 1129 ^ [_245590])), 1140 ^ _209920 : [(1141 ^ _209920) ^ [] : [-(aInteger0(_246327))], (1144 ^ _209920) ^ [] : [-(aInteger0(1142 ^ [_245590, _246327]))], (1146 ^ _209920) ^ [] : [-(sdtasdt0(1129 ^ [_245590], 1142 ^ [_245590, _246327]) = sdtpldt0(_246327, smndt0(_245590)))], (1148 ^ _209920) ^ [] : [-(aDivisorOf0(1129 ^ [_245590], sdtpldt0(_246327, smndt0(_245590))))], (1150 ^ _209920) ^ [] : [-(sdteqdtlpzmzozddtrp0(_246327, _245590, 1129 ^ [_245590]))]]], (1152 ^ _209920) ^ [_246942] : [-(aElementOf0(_246942, szAzrzSzezqlpdtcmdtrp0(_245590, 1129 ^ [_245590]))), aInteger0(_246942), 1157 ^ _209920 : [(1164 ^ _209920) ^ [] : [aDivisorOf0(1129 ^ [_245590], sdtpldt0(_246942, smndt0(_245590)))], (1166 ^ _209920) ^ [] : [sdteqdtlpzmzozddtrp0(_246942, _245590, 1129 ^ [_245590])], (1158 ^ _209920) ^ [_247187] : [aInteger0(_247187), sdtasdt0(1129 ^ [_245590], _247187) = sdtpldt0(_246942, smndt0(_245590))]]]]], (1178 ^ _209920) ^ [] : [-(isOpen0(stldt0(xA)))], (1180 ^ _209920) ^ [] : [-(isClosed0(xA))], (1182 ^ _209920) ^ [] : [-(aSet0(stldt0(xB)))], (1184 ^ _209920) ^ [_248084] : [aElementOf0(_248084, stldt0(xB)), 1187 ^ _209920 : [(1188 ^ _209920) ^ [] : [-(aInteger0(_248084))], (1190 ^ _209920) ^ [] : [aElementOf0(_248084, xB)]]], (1192 ^ _209920) ^ [_248312] : [-(aElementOf0(_248312, stldt0(xB))), aInteger0(_248312), -(aElementOf0(_248312, xB))], (1254 ^ _209920) ^ [] : [-(isOpen0(stldt0(xB)))], (1256 ^ _209920) ^ [] : [-(isClosed0(xB))], (1202 ^ _209920) ^ [_248590] : [aElementOf0(_248590, stldt0(xB)), 1206 ^ _209920 : [(1207 ^ _209920) ^ [] : [-(aInteger0(1205 ^ [_248590]))], (1209 ^ _209920) ^ [] : [1205 ^ [_248590] = sz00], (1211 ^ _209920) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(_248590, 1205 ^ [_248590])))], (1252 ^ _209920) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_248590, 1205 ^ [_248590]), stldt0(xB)))], (1246 ^ _209920) ^ [_250613] : [aElementOf0(_250613, szAzrzSzezqlpdtcmdtrp0(_248590, 1205 ^ [_248590])), -(aElementOf0(_250613, stldt0(xB)))], (1213 ^ _209920) ^ [_249327] : [aElementOf0(_249327, szAzrzSzezqlpdtcmdtrp0(_248590, 1205 ^ [_248590])), 1216 ^ _209920 : [(1217 ^ _209920) ^ [] : [-(aInteger0(_249327))], (1220 ^ _209920) ^ [] : [-(aInteger0(1218 ^ [_248590, _249327]))], (1222 ^ _209920) ^ [] : [-(sdtasdt0(1205 ^ [_248590], 1218 ^ [_248590, _249327]) = sdtpldt0(_249327, smndt0(_248590)))], (1224 ^ _209920) ^ [] : [-(aDivisorOf0(1205 ^ [_248590], sdtpldt0(_249327, smndt0(_248590))))], (1226 ^ _209920) ^ [] : [-(sdteqdtlpzmzozddtrp0(_249327, _248590, 1205 ^ [_248590]))]]], (1228 ^ _209920) ^ [_249942] : [-(aElementOf0(_249942, szAzrzSzezqlpdtcmdtrp0(_248590, 1205 ^ [_248590]))), aInteger0(_249942), 1233 ^ _209920 : [(1240 ^ _209920) ^ [] : [aDivisorOf0(1205 ^ [_248590], sdtpldt0(_249942, smndt0(_248590)))], (1242 ^ _209920) ^ [] : [sdteqdtlpzmzozddtrp0(_249942, _248590, 1205 ^ [_248590])], (1234 ^ _209920) ^ [_250187] : [aInteger0(_250187), sdtasdt0(1205 ^ [_248590], _250187) = sdtpldt0(_249942, smndt0(_248590))]]]]]], input).
% 9.27/9.69  ncf('1',plain,[1297 : aElementOf0(1293 ^ [], cS1395), 1340 : aElementOf0(1336 ^ [], cS1395), 1447 : aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB))), 1431 : aInteger0(1425 ^ []), 1431 : aElementOf0(1425 ^ [], stldt0(xA)), 1431 : aElementOf0(1425 ^ [], stldt0(xB))],start(1258 ^ 0)).
% 9.27/9.69  ncf('1.1',plain,[-(aElementOf0(1293 ^ [], cS1395)), aInteger0(1293 ^ [])],extension(1288 ^ 3,bind([[_252199], [1293 ^ []]]))).
% 9.27/9.69  ncf('1.1.1',plain,[-(aInteger0(1293 ^ [])), aElementOf0(1293 ^ [], stldt0(xA))],extension(1262 ^ 4,bind([[_251455], [1293 ^ []]]))).
% 9.27/9.69  ncf('1.1.1.1',plain,[-(aElementOf0(1293 ^ [], stldt0(xA)))],extension(1295 ^ 5)).
% 9.27/9.69  ncf('1.2',plain,[-(aElementOf0(1336 ^ [], cS1395)), aInteger0(1336 ^ [])],extension(1331 ^ 3,bind([[_253451], [1336 ^ []]]))).
% 9.27/9.69  ncf('1.2.1',plain,[-(aInteger0(1336 ^ [])), aElementOf0(1336 ^ [], stldt0(xB))],extension(1305 ^ 4,bind([[_252707], [1336 ^ []]]))).
% 9.27/9.69  ncf('1.2.1.1',plain,[-(aElementOf0(1336 ^ [], stldt0(xB)))],extension(1338 ^ 5)).
% 9.27/9.69  ncf('1.3',plain,[-(aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB)))), aInteger0(1425 ^ []), -(aElementOf0(1425 ^ [], sdtbsmnsldt0(xA, xB)))],extension(1380 ^ 5,bind([[_254901], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.3.1',plain,[-(aInteger0(1425 ^ [])), aElementOf0(1425 ^ [], stldt0(xA))],extension(1390 ^ 6,bind([[_255210], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.3.1.1',plain,[-(aElementOf0(1425 ^ [], stldt0(xA)))],extension(1443 ^ 7)).
% 9.27/9.69  ncf('1.3.2',plain,[aElementOf0(1425 ^ [], sdtbsmnsldt0(xA, xB)), 1352 : -(aElementOf0(1425 ^ [], xA)), 1352 : -(aElementOf0(1425 ^ [], xB))],extension(1346 ^ 6,bind([[_253929], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.3.2.1',plain,[aElementOf0(1425 ^ [], xA), aElementOf0(1425 ^ [], stldt0(xA))],extension(1390 ^ 9,bind([[_255210], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.3.2.1.1',plain,[-(aElementOf0(1425 ^ [], stldt0(xA)))],extension(1443 ^ 10)).
% 9.27/9.69  ncf('1.3.2.2',plain,[aElementOf0(1425 ^ [], xB), aElementOf0(1425 ^ [], stldt0(xB))],extension(1408 ^ 9,bind([[_255745], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.3.2.2.1',plain,[-(aElementOf0(1425 ^ [], stldt0(xB)))],extension(1445 ^ 10)).
% 9.27/9.69  ncf('1.4',plain,[-(aInteger0(1425 ^ [])), aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB)))],extension(1372 ^ 5,bind([[_254673], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.4.1',plain,[-(aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB))))],extension(1429 ^ 6)).
% 9.27/9.69  ncf('1.5',plain,[-(aElementOf0(1425 ^ [], stldt0(xA))), aInteger0(1425 ^ []), -(aElementOf0(1425 ^ [], xA))],extension(1398 ^ 5,bind([[_255438], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.5.1',plain,[-(aInteger0(1425 ^ []))],lemmata('x')).
% 9.27/9.69  ncf('1.5.2',plain,[aElementOf0(1425 ^ [], xA), -(aElementOf0(1425 ^ [], sdtbsmnsldt0(xA, xB))), aInteger0(1425 ^ [])],extension(1358 ^ 6,bind([[_254242], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.5.2.1',plain,[aElementOf0(1425 ^ [], sdtbsmnsldt0(xA, xB)), aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB)))],extension(1372 ^ 7,bind([[_254673], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.5.2.1.1',plain,[-(aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB))))],extension(1429 ^ 8)).
% 9.27/9.69  ncf('1.5.2.2',plain,[-(aInteger0(1425 ^ []))],lemmata('[1].x')).
% 9.27/9.69  ncf('1.6',plain,[-(aElementOf0(1425 ^ [], stldt0(xB))), aInteger0(1425 ^ []), -(aElementOf0(1425 ^ [], xB))],extension(1416 ^ 5,bind([[_255973], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.6.1',plain,[-(aInteger0(1425 ^ []))],lemmata('x')).
% 9.27/9.69  ncf('1.6.2',plain,[aElementOf0(1425 ^ [], xB), -(aElementOf0(1425 ^ [], sdtbsmnsldt0(xA, xB))), aInteger0(1425 ^ [])],extension(1358 ^ 6,bind([[_254242], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.6.2.1',plain,[aElementOf0(1425 ^ [], sdtbsmnsldt0(xA, xB)), aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB)))],extension(1372 ^ 7,bind([[_254673], [1425 ^ []]]))).
% 9.27/9.69  ncf('1.6.2.1.1',plain,[-(aElementOf0(1425 ^ [], stldt0(sdtbsmnsldt0(xA, xB))))],extension(1429 ^ 8)).
% 9.27/9.69  ncf('1.6.2.2',plain,[-(aInteger0(1425 ^ []))],lemmata('[1].x')).
% 9.27/9.69  %-----------------------------------------------------
% 9.27/9.69  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------