TSTP Solution File: NUM450+6 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM450+6 : 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 11:44:40 EDT 2023
% Result : Theorem 1.07s 1.36s
% Output : Proof 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM450+6 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % 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 17:47:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.07/1.36
% 1.07/1.36 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.07/1.36 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.36 %-----------------------------------------------------
% 1.07/1.36 ncf(matrix, plain, [(1485 ^ _191175) ^ [_240620] : [aInteger0(_240620), -(_240620 = sz00), 1492 ^ _191175 : [(1493 ^ _191175) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(sz10, _240620)))], (1495 ^ _191175) ^ [_241130] : [aElementOf0(_241130, szAzrzSzezqlpdtcmdtrp0(sz10, _240620)), 1498 ^ _191175 : [(1499 ^ _191175) ^ [] : [-(aInteger0(_241130))], (1502 ^ _191175) ^ [] : [-(aInteger0(1500 ^ [_240620, _241130]))], (1504 ^ _191175) ^ [] : [-(sdtasdt0(_240620, 1500 ^ [_240620, _241130]) = sdtpldt0(_241130, smndt0(sz10)))], (1506 ^ _191175) ^ [] : [-(aDivisorOf0(_240620, sdtpldt0(_241130, smndt0(sz10))))], (1508 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_241130, sz10, _240620))]]], (1510 ^ _191175) ^ [_241690] : [-(aElementOf0(_241690, szAzrzSzezqlpdtcmdtrp0(sz10, _240620))), aInteger0(_241690), 1515 ^ _191175 : [(1522 ^ _191175) ^ [] : [aDivisorOf0(_240620, sdtpldt0(_241690, smndt0(sz10)))], (1524 ^ _191175) ^ [] : [sdteqdtlpzmzozddtrp0(_241690, sz10, _240620)], (1516 ^ _191175) ^ [_241911] : [aInteger0(_241911), sdtasdt0(_240620, _241911) = sdtpldt0(_241690, smndt0(sz10))]]], (1574 ^ _191175) ^ [] : [-(aElementOf0(1572 ^ [_240620], szAzrzSzezqlpdtcmdtrp0(sz10, _240620)))], (1576 ^ _191175) ^ [] : [aElementOf0(1572 ^ [_240620], stldt0(sbsmnsldt0(xS)))], (1578 ^ _191175) ^ [] : [aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, _240620), stldt0(sbsmnsldt0(xS)))], (1555 ^ _191175) ^ [_243249] : [aElementOf0(_243249, stldt0(sbsmnsldt0(xS))), 1558 ^ _191175 : [(1559 ^ _191175) ^ [] : [-(aInteger0(_243249))], (1561 ^ _191175) ^ [] : [aElementOf0(_243249, sbsmnsldt0(xS))]]], (1563 ^ _191175) ^ [_243487] : [-(aElementOf0(_243487, stldt0(sbsmnsldt0(xS)))), aInteger0(_243487), -(aElementOf0(_243487, sbsmnsldt0(xS)))], (1528 ^ _191175) ^ [] : [-(aSet0(sbsmnsldt0(xS)))], (1530 ^ _191175) ^ [_242398] : [aElementOf0(_242398, sbsmnsldt0(xS)), 1533 ^ _191175 : [(1534 ^ _191175) ^ [] : [-(aInteger0(_242398))], (1537 ^ _191175) ^ [] : [-(aElementOf0(1535 ^ [_240620, _242398], xS))], (1539 ^ _191175) ^ [] : [-(aElementOf0(_242398, 1535 ^ [_240620, _242398]))]]], (1541 ^ _191175) ^ [_242779] : [-(aElementOf0(_242779, sbsmnsldt0(xS))), aInteger0(_242779), 1546 ^ _191175 : [(1547 ^ _191175) ^ [_242956] : [aElementOf0(_242956, xS), aElementOf0(_242779, _242956)]]]]], (140 ^ _191175) ^ [_195686, _195688, _195690, _195692] : [-(sdtslmnbsdt0(_195692, _195688) = sdtslmnbsdt0(_195690, _195686)), _195692 = _195690, _195688 = _195686], (150 ^ _191175) ^ [_196045, _196047, _196049, _196051] : [-(sdtbsmnsldt0(_196051, _196047) = sdtbsmnsldt0(_196049, _196045)), _196051 = _196049, _196047 = _196045], (160 ^ _191175) ^ [_196404, _196406, _196408, _196410] : [-(sdtasdt0(_196410, _196406) = sdtasdt0(_196408, _196404)), _196410 = _196408, _196406 = _196404], (170 ^ _191175) ^ [_196763, _196765, _196767, _196769] : [-(sdtpldt0(_196769, _196765) = sdtpldt0(_196767, _196763)), _196769 = _196767, _196765 = _196763], (180 ^ _191175) ^ [_197094, _197096] : [_197096 = _197094, -(smndt0(_197096) = smndt0(_197094))], (186 ^ _191175) ^ [_197340, _197342, _197344, _197346] : [-(szAzrzSzezqlpdtcmdtrp0(_197346, _197342) = szAzrzSzezqlpdtcmdtrp0(_197344, _197340)), _197346 = _197344, _197342 = _197340], (196 ^ _191175) ^ [_197671, _197673] : [_197673 = _197671, -(stldt0(_197673) = stldt0(_197671))], (202 ^ _191175) ^ [_197869, _197871] : [_197871 = _197869, -(sbsmnsldt0(_197871) = sbsmnsldt0(_197869))], (2 ^ _191175) ^ [_191319] : [-(_191319 = _191319)], (4 ^ _191175) ^ [_191426, _191428] : [_191428 = _191426, -(_191426 = _191428)], (10 ^ _191175) ^ [_191630, _191632, _191634] : [-(_191634 = _191630), _191634 = _191632, _191632 = _191630], (20 ^ _191175) ^ [_191943, _191945] : [-(isPrime0(_191943)), _191945 = _191943, isPrime0(_191945)], (30 ^ _191175) ^ [_192238, _192240] : [-(isFinite0(_192238)), _192240 = _192238, isFinite0(_192240)], (40 ^ _191175) ^ [_192533, _192535] : [-(isOpen0(_192533)), _192535 = _192533, isOpen0(_192535)], (50 ^ _191175) ^ [_192828, _192830] : [-(isClosed0(_192828)), _192830 = _192828, isClosed0(_192830)], (60 ^ _191175) ^ [_193151, _193153, _193155, _193157] : [-(aDivisorOf0(_193155, _193151)), aDivisorOf0(_193157, _193153), _193157 = _193155, _193153 = _193151], (74 ^ _191175) ^ [_193623, _193625, _193627, _193629, _193631, _193633] : [-(sdteqdtlpzmzozddtrp0(_193631, _193627, _193623)), sdteqdtlpzmzozddtrp0(_193633, _193629, _193625), _193633 = _193631, _193629 = _193627, _193625 = _193623], (92 ^ _191175) ^ [_194176, _194178] : [-(aSet0(_194176)), _194178 = _194176, aSet0(_194178)], (102 ^ _191175) ^ [_194471, _194473] : [-(aInteger0(_194471)), _194473 = _194471, aInteger0(_194473)], (112 ^ _191175) ^ [_194794, _194796, _194798, _194800] : [-(aElementOf0(_194798, _194794)), aElementOf0(_194800, _194796), _194800 = _194798, _194796 = _194794], (126 ^ _191175) ^ [_195218, _195220, _195222, _195224] : [-(aSubsetOf0(_195222, _195218)), aSubsetOf0(_195224, _195220), _195224 = _195222, _195220 = _195218], (208 ^ _191175) ^ [_198135] : [aInteger0(_198135), true___, -(true___)], (218 ^ _191175) ^ [] : [-(aInteger0(sz00))], (220 ^ _191175) ^ [] : [-(aInteger0(sz10))], (222 ^ _191175) ^ [_198496] : [aInteger0(_198496), -(aInteger0(smndt0(_198496)))], (228 ^ _191175) ^ [_198700, _198702] : [-(aInteger0(sdtpldt0(_198702, _198700))), aInteger0(_198702), aInteger0(_198700)], (238 ^ _191175) ^ [_198999, _199001] : [-(aInteger0(sdtasdt0(_199001, _198999))), aInteger0(_199001), aInteger0(_198999)], (248 ^ _191175) ^ [_199312, _199314, _199316] : [-(sdtpldt0(_199316, sdtpldt0(_199314, _199312)) = sdtpldt0(sdtpldt0(_199316, _199314), _199312)), aInteger0(_199316), aInteger0(_199314), aInteger0(_199312)], (262 ^ _191175) ^ [_199732, _199734] : [-(sdtpldt0(_199734, _199732) = sdtpldt0(_199732, _199734)), aInteger0(_199734), aInteger0(_199732)], (272 ^ _191175) ^ [_200025] : [aInteger0(_200025), 275 ^ _191175 : [(276 ^ _191175) ^ [] : [-(sdtpldt0(_200025, sz00) = _200025)], (278 ^ _191175) ^ [] : [-(_200025 = sdtpldt0(sz00, _200025))]]], (280 ^ _191175) ^ [_200298] : [aInteger0(_200298), 283 ^ _191175 : [(284 ^ _191175) ^ [] : [-(sdtpldt0(_200298, smndt0(_200298)) = sz00)], (286 ^ _191175) ^ [] : [-(sz00 = sdtpldt0(smndt0(_200298), _200298))]]], (288 ^ _191175) ^ [_200607, _200609, _200611] : [-(sdtasdt0(_200611, sdtasdt0(_200609, _200607)) = sdtasdt0(sdtasdt0(_200611, _200609), _200607)), aInteger0(_200611), aInteger0(_200609), aInteger0(_200607)], (302 ^ _191175) ^ [_201027, _201029] : [-(sdtasdt0(_201029, _201027) = sdtasdt0(_201027, _201029)), aInteger0(_201029), aInteger0(_201027)], (312 ^ _191175) ^ [_201320] : [aInteger0(_201320), 315 ^ _191175 : [(316 ^ _191175) ^ [] : [-(sdtasdt0(_201320, sz10) = _201320)], (318 ^ _191175) ^ [] : [-(_201320 = sdtasdt0(sz10, _201320))]]], (320 ^ _191175) ^ [_201621, _201623, _201625] : [331 ^ _191175 : [(332 ^ _191175) ^ [] : [-(sdtasdt0(_201625, sdtpldt0(_201623, _201621)) = sdtpldt0(sdtasdt0(_201625, _201623), sdtasdt0(_201625, _201621)))], (334 ^ _191175) ^ [] : [-(sdtasdt0(sdtpldt0(_201625, _201623), _201621) = sdtpldt0(sdtasdt0(_201625, _201621), sdtasdt0(_201623, _201621)))]], aInteger0(_201625), aInteger0(_201623), aInteger0(_201621)], (336 ^ _191175) ^ [_202140] : [aInteger0(_202140), 339 ^ _191175 : [(340 ^ _191175) ^ [] : [-(sdtasdt0(_202140, sz00) = sz00)], (342 ^ _191175) ^ [] : [-(sz00 = sdtasdt0(sz00, _202140))]]], (344 ^ _191175) ^ [_202413] : [aInteger0(_202413), 347 ^ _191175 : [(348 ^ _191175) ^ [] : [-(sdtasdt0(smndt0(sz10), _202413) = smndt0(_202413))], (350 ^ _191175) ^ [] : [-(smndt0(_202413) = sdtasdt0(_202413, smndt0(sz10)))]]], (352 ^ _191175) ^ [_202708, _202710] : [aInteger0(_202710), aInteger0(_202708), sdtasdt0(_202710, _202708) = sz00, -(_202710 = sz00), -(_202708 = sz00)], (370 ^ _191175) ^ [_203176] : [aInteger0(_203176), 373 ^ _191175 : [(374 ^ _191175) ^ [_203362] : [aDivisorOf0(_203362, _203176), 377 ^ _191175 : [(378 ^ _191175) ^ [] : [-(aInteger0(_203362))], (380 ^ _191175) ^ [] : [_203362 = sz00], (383 ^ _191175) ^ [] : [-(aInteger0(381 ^ [_203176, _203362]))], (385 ^ _191175) ^ [] : [-(sdtasdt0(_203362, 381 ^ [_203176, _203362]) = _203176)]]], (387 ^ _191175) ^ [_203824] : [-(aDivisorOf0(_203824, _203176)), aInteger0(_203824), -(_203824 = sz00), 396 ^ _191175 : [(397 ^ _191175) ^ [_204091] : [aInteger0(_204091), sdtasdt0(_203824, _204091) = _203176]]]]], (405 ^ _191175) ^ [_204394, _204396, _204398] : [aInteger0(_204398), aInteger0(_204396), aInteger0(_204394), -(_204394 = sz00), 420 ^ _191175 : [(421 ^ _191175) ^ [] : [sdteqdtlpzmzozddtrp0(_204398, _204396, _204394), -(aDivisorOf0(_204394, sdtpldt0(_204398, smndt0(_204396))))], (427 ^ _191175) ^ [] : [aDivisorOf0(_204394, sdtpldt0(_204398, smndt0(_204396))), -(sdteqdtlpzmzozddtrp0(_204398, _204396, _204394))]]], (433 ^ _191175) ^ [_205170, _205172] : [-(sdteqdtlpzmzozddtrp0(_205172, _205172, _205170)), aInteger0(_205172), aInteger0(_205170), -(_205170 = sz00)], (447 ^ _191175) ^ [_205573, _205575, _205577] : [sdteqdtlpzmzozddtrp0(_205577, _205575, _205573), -(sdteqdtlpzmzozddtrp0(_205575, _205577, _205573)), aInteger0(_205577), aInteger0(_205575), aInteger0(_205573), -(_205573 = sz00)], (469 ^ _191175) ^ [_206192, _206194, _206196, _206198] : [-(sdteqdtlpzmzozddtrp0(_206198, _206192, _206194)), sdteqdtlpzmzozddtrp0(_206198, _206196, _206194), sdteqdtlpzmzozddtrp0(_206196, _206192, _206194), aInteger0(_206198), aInteger0(_206196), aInteger0(_206194), -(_206194 = sz00), aInteger0(_206192)], (499 ^ _191175) ^ [_207029, _207031, _207033, _207035] : [sdteqdtlpzmzozddtrp0(_207035, _207033, sdtasdt0(_207031, _207029)), 526 ^ _191175 : [(527 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_207035, _207033, _207031))], (529 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_207035, _207033, _207029))]], aInteger0(_207035), aInteger0(_207033), aInteger0(_207031), -(_207031 = sz00), aInteger0(_207029), -(_207029 = sz00)], (531 ^ _191175) ^ [_207910] : [aInteger0(_207910), -(_207910 = sz00), isPrime0(_207910), true___, -(true___)], (549 ^ _191175) ^ [_208341] : [aInteger0(_208341), 552 ^ _191175 : [(553 ^ _191175) ^ [] : [560 ^ _191175 : [(561 ^ _191175) ^ [] : [_208341 = sz10], (563 ^ _191175) ^ [] : [_208341 = smndt0(sz10)]], 554 ^ _191175 : [(555 ^ _191175) ^ [_208548] : [aDivisorOf0(_208548, _208341), isPrime0(_208548)]]], (565 ^ _191175) ^ [] : [573 ^ _191175 : [(574 ^ _191175) ^ [] : [-(aDivisorOf0(572 ^ [_208341], _208341))], (576 ^ _191175) ^ [] : [-(isPrime0(572 ^ [_208341]))]], -(_208341 = sz10), -(_208341 = smndt0(sz10))]]], (578 ^ _191175) ^ [_209190] : [aSet0(_209190), true___, -(true___)], (588 ^ _191175) ^ [_209445] : [aSet0(_209445), 591 ^ _191175 : [(592 ^ _191175) ^ [_209573] : [aElementOf0(_209573, _209445), true___, -(true___)]]], (602 ^ _191175) ^ [_209850] : [aSet0(_209850), 605 ^ _191175 : [(606 ^ _191175) ^ [_210026] : [aSubsetOf0(_210026, _209850), 609 ^ _191175 : [(610 ^ _191175) ^ [] : [-(aSet0(_210026))], (612 ^ _191175) ^ [_210235] : [aElementOf0(_210235, _210026), -(aElementOf0(_210235, _209850))]]], (618 ^ _191175) ^ [_210414] : [-(aSubsetOf0(_210414, _209850)), aSet0(_210414), 624 ^ _191175 : [(625 ^ _191175) ^ [] : [-(aElementOf0(623 ^ [_209850, _210414], _210414))], (627 ^ _191175) ^ [] : [aElementOf0(623 ^ [_209850, _210414], _209850)]]]]], (631 ^ _191175) ^ [_210851] : [aSet0(_210851), isFinite0(_210851), true___, -(true___)], (645 ^ _191175) ^ [_211206, _211208] : [aSubsetOf0(_211208, cS1395), aSubsetOf0(_211206, cS1395), 652 ^ _191175 : [(683 ^ _191175) ^ [_212471] : [-(_212471 = sdtbsmnsldt0(_211208, _211206)), aSet0(_212471), 691 ^ _191175 : [(692 ^ _191175) ^ [] : [-(aElementOf0(688 ^ [_211206, _211208, _212471], _212471))], (694 ^ _191175) ^ [] : [aInteger0(688 ^ [_211206, _211208, _212471]), 697 ^ _191175 : [(698 ^ _191175) ^ [] : [aElementOf0(688 ^ [_211206, _211208, _212471], _211208)], (700 ^ _191175) ^ [] : [aElementOf0(688 ^ [_211206, _211208, _212471], _211206)]]]], 701 ^ _191175 : [(710 ^ _191175) ^ [] : [aElementOf0(688 ^ [_211206, _211208, _212471], _212471)], (702 ^ _191175) ^ [] : [-(aInteger0(688 ^ [_211206, _211208, _212471]))], (704 ^ _191175) ^ [] : [-(aElementOf0(688 ^ [_211206, _211208, _212471], _211208)), -(aElementOf0(688 ^ [_211206, _211208, _212471], _211206))]]], (653 ^ _191175) ^ [_211491] : [_211491 = sdtbsmnsldt0(_211208, _211206), 656 ^ _191175 : [(657 ^ _191175) ^ [] : [-(aSet0(_211491))], (659 ^ _191175) ^ [_211754] : [aElementOf0(_211754, _211491), 662 ^ _191175 : [(663 ^ _191175) ^ [] : [-(aInteger0(_211754))], (665 ^ _191175) ^ [] : [-(aElementOf0(_211754, _211208)), -(aElementOf0(_211754, _211206))]]], (671 ^ _191175) ^ [_212109] : [-(aElementOf0(_212109, _211491)), aInteger0(_212109), 676 ^ _191175 : [(677 ^ _191175) ^ [] : [aElementOf0(_212109, _211208)], (679 ^ _191175) ^ [] : [aElementOf0(_212109, _211206)]]]]]]], (714 ^ _191175) ^ [_213508, _213510] : [aSubsetOf0(_213510, cS1395), aSubsetOf0(_213508, cS1395), 721 ^ _191175 : [(752 ^ _191175) ^ [_214772] : [-(_214772 = sdtslmnbsdt0(_213510, _213508)), aSet0(_214772), 772 ^ _191175 : [(773 ^ _191175) ^ [] : [-(aInteger0(757 ^ [_213508, _213510, _214772]))], (775 ^ _191175) ^ [] : [-(aElementOf0(757 ^ [_213508, _213510, _214772], _213510))], (777 ^ _191175) ^ [] : [-(aElementOf0(757 ^ [_213508, _213510, _214772], _213508))], (779 ^ _191175) ^ [] : [aElementOf0(757 ^ [_213508, _213510, _214772], _214772)]], 760 ^ _191175 : [(761 ^ _191175) ^ [] : [-(aElementOf0(757 ^ [_213508, _213510, _214772], _214772))], (763 ^ _191175) ^ [] : [aInteger0(757 ^ [_213508, _213510, _214772]), aElementOf0(757 ^ [_213508, _213510, _214772], _213510), aElementOf0(757 ^ [_213508, _213510, _214772], _213508)]]], (722 ^ _191175) ^ [_213793] : [_213793 = sdtslmnbsdt0(_213510, _213508), 725 ^ _191175 : [(726 ^ _191175) ^ [] : [-(aSet0(_213793))], (728 ^ _191175) ^ [_214056] : [aElementOf0(_214056, _213793), 731 ^ _191175 : [(732 ^ _191175) ^ [] : [-(aInteger0(_214056))], (734 ^ _191175) ^ [] : [-(aElementOf0(_214056, _213510))], (736 ^ _191175) ^ [] : [-(aElementOf0(_214056, _213508))]]], (738 ^ _191175) ^ [_214391] : [-(aElementOf0(_214391, _213793)), aInteger0(_214391), aElementOf0(_214391, _213510), aElementOf0(_214391, _213508)]]]]], (783 ^ _191175) ^ [_215798] : [aSet0(_215798), 789 ^ _191175 : [(790 ^ _191175) ^ [] : [-(aElementOf0(788 ^ [_215798], _215798))], (792 ^ _191175) ^ [] : [aSubsetOf0(788 ^ [_215798], cS1395)]], 793 ^ _191175 : [(825 ^ _191175) ^ [_217301] : [-(_217301 = sbsmnsldt0(_215798)), aSet0(_217301), 845 ^ _191175 : [(846 ^ _191175) ^ [] : [-(aInteger0(830 ^ [_215798, _217301]))], (849 ^ _191175) ^ [] : [-(aElementOf0(847 ^ [_215798, _217301], _215798))], (851 ^ _191175) ^ [] : [-(aElementOf0(830 ^ [_215798, _217301], 847 ^ [_215798, _217301]))], (853 ^ _191175) ^ [] : [aElementOf0(830 ^ [_215798, _217301], _217301)]], 833 ^ _191175 : [(834 ^ _191175) ^ [] : [-(aElementOf0(830 ^ [_215798, _217301], _217301))], (836 ^ _191175) ^ [] : [aInteger0(830 ^ [_215798, _217301]), 839 ^ _191175 : [(840 ^ _191175) ^ [_217764] : [aElementOf0(_217764, _215798), aElementOf0(830 ^ [_215798, _217301], _217764)]]]]], (794 ^ _191175) ^ [_216212] : [_216212 = sbsmnsldt0(_215798), 797 ^ _191175 : [(798 ^ _191175) ^ [] : [-(aSet0(_216212))], (800 ^ _191175) ^ [_216470] : [aElementOf0(_216470, _216212), 803 ^ _191175 : [(804 ^ _191175) ^ [] : [-(aInteger0(_216470))], (807 ^ _191175) ^ [] : [-(aElementOf0(805 ^ [_215798, _216212, _216470], _215798))], (809 ^ _191175) ^ [] : [-(aElementOf0(_216470, 805 ^ [_215798, _216212, _216470]))]]], (811 ^ _191175) ^ [_216871] : [-(aElementOf0(_216871, _216212)), aInteger0(_216871), 816 ^ _191175 : [(817 ^ _191175) ^ [_217056] : [aElementOf0(_217056, _215798), aElementOf0(_216871, _217056)]]]]]]], (857 ^ _191175) ^ [_218406] : [aSubsetOf0(_218406, cS1395), 860 ^ _191175 : [(885 ^ _191175) ^ [_219365] : [-(_219365 = stldt0(_218406)), aSet0(_219365), 901 ^ _191175 : [(902 ^ _191175) ^ [] : [-(aInteger0(890 ^ [_218406, _219365]))], (904 ^ _191175) ^ [] : [aElementOf0(890 ^ [_218406, _219365], _218406)], (906 ^ _191175) ^ [] : [aElementOf0(890 ^ [_218406, _219365], _219365)]], 893 ^ _191175 : [(894 ^ _191175) ^ [] : [-(aElementOf0(890 ^ [_218406, _219365], _219365))], (896 ^ _191175) ^ [] : [aInteger0(890 ^ [_218406, _219365]), -(aElementOf0(890 ^ [_218406, _219365], _218406))]]], (861 ^ _191175) ^ [_218593] : [_218593 = stldt0(_218406), 864 ^ _191175 : [(865 ^ _191175) ^ [] : [-(aSet0(_218593))], (867 ^ _191175) ^ [_218842] : [aElementOf0(_218842, _218593), 870 ^ _191175 : [(871 ^ _191175) ^ [] : [-(aInteger0(_218842))], (873 ^ _191175) ^ [] : [aElementOf0(_218842, _218406)]]], (875 ^ _191175) ^ [_219090] : [-(aElementOf0(_219090, _218593)), aInteger0(_219090), -(aElementOf0(_219090, _218406))]]]]], (910 ^ _191175) ^ [_220174, _220176] : [aInteger0(_220176), aInteger0(_220174), -(_220174 = sz00), 921 ^ _191175 : [(946 ^ _191175) ^ [_221345] : [-(_221345 = szAzrzSzezqlpdtcmdtrp0(_220176, _220174)), aSet0(_221345), 962 ^ _191175 : [(963 ^ _191175) ^ [] : [-(aInteger0(951 ^ [_220174, _220176, _221345]))], (965 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(951 ^ [_220174, _220176, _221345], _220176, _220174))], (967 ^ _191175) ^ [] : [aElementOf0(951 ^ [_220174, _220176, _221345], _221345)]], 954 ^ _191175 : [(955 ^ _191175) ^ [] : [-(aElementOf0(951 ^ [_220174, _220176, _221345], _221345))], (957 ^ _191175) ^ [] : [aInteger0(951 ^ [_220174, _220176, _221345]), sdteqdtlpzmzozddtrp0(951 ^ [_220174, _220176, _221345], _220176, _220174)]]], (922 ^ _191175) ^ [_220542] : [_220542 = szAzrzSzezqlpdtcmdtrp0(_220176, _220174), 925 ^ _191175 : [(926 ^ _191175) ^ [] : [-(aSet0(_220542))], (928 ^ _191175) ^ [_220800] : [aElementOf0(_220800, _220542), 931 ^ _191175 : [(932 ^ _191175) ^ [] : [-(aInteger0(_220800))], (934 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_220800, _220176, _220174))]]], (936 ^ _191175) ^ [_221059] : [-(aElementOf0(_221059, _220542)), aInteger0(_221059), sdteqdtlpzmzozddtrp0(_221059, _220176, _220174)]]]]], (971 ^ _191175) ^ [_222188] : [aSubsetOf0(_222188, cS1395), 974 ^ _191175 : [(975 ^ _191175) ^ [] : [isOpen0(_222188), 978 ^ _191175 : [(979 ^ _191175) ^ [_222450] : [aElementOf0(_222450, _222188), 983 ^ _191175 : [(984 ^ _191175) ^ [] : [-(aInteger0(982 ^ [_222188, _222450]))], (986 ^ _191175) ^ [] : [982 ^ [_222188, _222450] = sz00], (988 ^ _191175) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_222450, 982 ^ [_222188, _222450]), _222188))]]]]], (990 ^ _191175) ^ [] : [-(isOpen0(_222188)), 992 ^ _191175 : [(993 ^ _191175) ^ [] : [-(aElementOf0(991 ^ [_222188], _222188))], (995 ^ _191175) ^ [_223043] : [aInteger0(_223043), -(_223043 = sz00), aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(991 ^ [_222188], _223043), _222188)]]]]], (1007 ^ _191175) ^ [_223403] : [aSubsetOf0(_223403, cS1395), 1010 ^ _191175 : [(1011 ^ _191175) ^ [] : [isClosed0(_223403), -(isOpen0(stldt0(_223403)))], (1017 ^ _191175) ^ [] : [isOpen0(stldt0(_223403)), -(isClosed0(_223403))]]], (1023 ^ _191175) ^ [_223833] : [-(isOpen0(sbsmnsldt0(_223833))), aSet0(_223833), 1029 ^ _191175 : [(1030 ^ _191175) ^ [] : [-(aElementOf0(1028 ^ [_223833], _223833))], (1032 ^ _191175) ^ [] : [aSubsetOf0(1028 ^ [_223833], cS1395), isOpen0(1028 ^ [_223833])]]], (1040 ^ _191175) ^ [_224350, _224352] : [-(isOpen0(sdtslmnbsdt0(_224352, _224350))), aSubsetOf0(_224352, cS1395), aSubsetOf0(_224350, cS1395), isOpen0(_224352), isOpen0(_224350)], (1058 ^ _191175) ^ [_224827, _224829] : [-(isClosed0(sdtbsmnsldt0(_224829, _224827))), aSubsetOf0(_224829, cS1395), aSubsetOf0(_224827, cS1395), isClosed0(_224829), isClosed0(_224827)], (1076 ^ _191175) ^ [_225290] : [-(isClosed0(sbsmnsldt0(_225290))), aSet0(_225290), isFinite0(_225290), 1086 ^ _191175 : [(1087 ^ _191175) ^ [] : [-(aElementOf0(1085 ^ [_225290], _225290))], (1089 ^ _191175) ^ [] : [aSubsetOf0(1085 ^ [_225290], cS1395), isClosed0(1085 ^ [_225290])]]], (1097 ^ _191175) ^ [_225890, _225892] : [1108 ^ _191175 : [(1109 ^ _191175) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_225892, _225890), cS1395))], (1111 ^ _191175) ^ [] : [-(isClosed0(szAzrzSzezqlpdtcmdtrp0(_225892, _225890)))]], aInteger0(_225892), aInteger0(_225890), -(_225890 = sz00)], (1113 ^ _191175) ^ [] : [-(aSet0(xS))], (1216 ^ _191175) ^ [] : [-(xS = cS2043)], (1115 ^ _191175) ^ [_226441] : [aElementOf0(_226441, xS), 1119 ^ _191175 : [(1120 ^ _191175) ^ [] : [-(aInteger0(1118 ^ [_226441]))], (1122 ^ _191175) ^ [] : [1118 ^ [_226441] = sz00], (1124 ^ _191175) ^ [] : [-(isPrime0(1118 ^ [_226441]))], (1126 ^ _191175) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(sz00, 1118 ^ [_226441])))], (1161 ^ _191175) ^ [] : [-(szAzrzSzezqlpdtcmdtrp0(sz00, 1118 ^ [_226441]) = _226441)], (1128 ^ _191175) ^ [_227200] : [aElementOf0(_227200, szAzrzSzezqlpdtcmdtrp0(sz00, 1118 ^ [_226441])), 1131 ^ _191175 : [(1132 ^ _191175) ^ [] : [-(aInteger0(_227200))], (1135 ^ _191175) ^ [] : [-(aInteger0(1133 ^ [_226441, _227200]))], (1137 ^ _191175) ^ [] : [-(sdtasdt0(1118 ^ [_226441], 1133 ^ [_226441, _227200]) = sdtpldt0(_227200, smndt0(sz00)))], (1139 ^ _191175) ^ [] : [-(aDivisorOf0(1118 ^ [_226441], sdtpldt0(_227200, smndt0(sz00))))], (1141 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_227200, sz00, 1118 ^ [_226441]))]]], (1143 ^ _191175) ^ [_227805] : [-(aElementOf0(_227805, szAzrzSzezqlpdtcmdtrp0(sz00, 1118 ^ [_226441]))), aInteger0(_227805), 1148 ^ _191175 : [(1155 ^ _191175) ^ [] : [aDivisorOf0(1118 ^ [_226441], sdtpldt0(_227805, smndt0(sz00)))], (1157 ^ _191175) ^ [] : [sdteqdtlpzmzozddtrp0(_227805, sz00, 1118 ^ [_226441])], (1149 ^ _191175) ^ [_228046] : [aInteger0(_228046), sdtasdt0(1118 ^ [_226441], _228046) = sdtpldt0(_227805, smndt0(sz00))]]]]], (1163 ^ _191175) ^ [_228499] : [-(aElementOf0(_228499, xS)), 1164 ^ _191175 : [(1165 ^ _191175) ^ [_228721] : [aInteger0(_228721), -(_228721 = sz00), isPrime0(_228721), 1176 ^ _191175 : [(1212 ^ _191175) ^ [] : [szAzrzSzezqlpdtcmdtrp0(sz00, _228721) = _228499], (1177 ^ _191175) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(sz00, _228721)))], (1179 ^ _191175) ^ [_229246] : [aElementOf0(_229246, szAzrzSzezqlpdtcmdtrp0(sz00, _228721)), 1182 ^ _191175 : [(1183 ^ _191175) ^ [] : [-(aInteger0(_229246))], (1186 ^ _191175) ^ [] : [-(aInteger0(1184 ^ [_228499, _228721, _229246]))], (1188 ^ _191175) ^ [] : [-(sdtasdt0(_228721, 1184 ^ [_228499, _228721, _229246]) = sdtpldt0(_229246, smndt0(sz00)))], (1190 ^ _191175) ^ [] : [-(aDivisorOf0(_228721, sdtpldt0(_229246, smndt0(sz00))))], (1192 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_229246, sz00, _228721))]]], (1194 ^ _191175) ^ [_229830] : [-(aElementOf0(_229830, szAzrzSzezqlpdtcmdtrp0(sz00, _228721))), aInteger0(_229830), 1199 ^ _191175 : [(1206 ^ _191175) ^ [] : [aDivisorOf0(_228721, sdtpldt0(_229830, smndt0(sz00)))], (1208 ^ _191175) ^ [] : [sdteqdtlpzmzozddtrp0(_229830, sz00, _228721)], (1200 ^ _191175) ^ [_230059] : [aInteger0(_230059), sdtasdt0(_228721, _230059) = sdtpldt0(_229830, smndt0(sz00))]]]]]]], (1218 ^ _191175) ^ [] : [-(aSet0(sbsmnsldt0(xS)))], (1220 ^ _191175) ^ [_230723] : [aElementOf0(_230723, sbsmnsldt0(xS)), 1223 ^ _191175 : [(1224 ^ _191175) ^ [] : [-(aInteger0(_230723))], (1227 ^ _191175) ^ [] : [-(aElementOf0(1225 ^ [_230723], xS))], (1229 ^ _191175) ^ [] : [-(aElementOf0(_230723, 1225 ^ [_230723]))]]], (1231 ^ _191175) ^ [_231084] : [-(aElementOf0(_231084, sbsmnsldt0(xS))), aInteger0(_231084), 1236 ^ _191175 : [(1237 ^ _191175) ^ [_231253] : [aElementOf0(_231253, xS), aElementOf0(_231084, _231253)]]], (1245 ^ _191175) ^ [] : [-(aSet0(stldt0(sbsmnsldt0(xS))))], (1247 ^ _191175) ^ [_231587] : [aElementOf0(_231587, stldt0(sbsmnsldt0(xS))), 1250 ^ _191175 : [(1251 ^ _191175) ^ [] : [-(aInteger0(_231587))], (1253 ^ _191175) ^ [] : [aElementOf0(_231587, sbsmnsldt0(xS))]]], (1255 ^ _191175) ^ [_231815] : [-(aElementOf0(_231815, stldt0(sbsmnsldt0(xS)))), aInteger0(_231815), -(aElementOf0(_231815, sbsmnsldt0(xS)))], (1283 ^ _191175) ^ [] : [-(stldt0(sbsmnsldt0(xS)) = cS2076)], (1275 ^ _191175) ^ [_232364] : [1276 ^ _191175 : [(1277 ^ _191175) ^ [] : [_232364 = sz10], (1279 ^ _191175) ^ [] : [_232364 = smndt0(sz10)]], -(aElementOf0(_232364, stldt0(sbsmnsldt0(xS))))], (1265 ^ _191175) ^ [_232122] : [aElementOf0(_232122, stldt0(sbsmnsldt0(xS))), -(_232122 = sz10), -(_232122 = smndt0(sz10))], (1285 ^ _191175) ^ [] : [-(isFinite0(xS))], (1287 ^ _191175) ^ [] : [-(aSet0(sbsmnsldt0(xS)))], (1289 ^ _191175) ^ [_232810] : [aElementOf0(_232810, sbsmnsldt0(xS)), 1292 ^ _191175 : [(1293 ^ _191175) ^ [] : [-(aInteger0(_232810))], (1296 ^ _191175) ^ [] : [-(aElementOf0(1294 ^ [_232810], xS))], (1298 ^ _191175) ^ [] : [-(aElementOf0(_232810, 1294 ^ [_232810]))]]], (1300 ^ _191175) ^ [_233171] : [-(aElementOf0(_233171, sbsmnsldt0(xS))), aInteger0(_233171), 1305 ^ _191175 : [(1306 ^ _191175) ^ [_233340] : [aElementOf0(_233340, xS), aElementOf0(_233171, _233340)]]], (1314 ^ _191175) ^ [_233621] : [aElementOf0(_233621, stldt0(sbsmnsldt0(xS))), 1317 ^ _191175 : [(1318 ^ _191175) ^ [] : [-(aInteger0(_233621))], (1320 ^ _191175) ^ [] : [aElementOf0(_233621, sbsmnsldt0(xS))]]], (1322 ^ _191175) ^ [_233849] : [-(aElementOf0(_233849, stldt0(sbsmnsldt0(xS)))), aInteger0(_233849), -(aElementOf0(_233849, sbsmnsldt0(xS)))], (1332 ^ _191175) ^ [_234127] : [aElementOf0(_234127, stldt0(sbsmnsldt0(xS))), 1336 ^ _191175 : [(1337 ^ _191175) ^ [] : [-(aInteger0(1335 ^ [_234127]))], (1339 ^ _191175) ^ [] : [1335 ^ [_234127] = sz00], (1341 ^ _191175) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(_234127, 1335 ^ [_234127])))], (1382 ^ _191175) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_234127, 1335 ^ [_234127]), stldt0(sbsmnsldt0(xS))))], (1376 ^ _191175) ^ [_236150] : [aElementOf0(_236150, szAzrzSzezqlpdtcmdtrp0(_234127, 1335 ^ [_234127])), -(aElementOf0(_236150, stldt0(sbsmnsldt0(xS))))], (1343 ^ _191175) ^ [_234864] : [aElementOf0(_234864, szAzrzSzezqlpdtcmdtrp0(_234127, 1335 ^ [_234127])), 1346 ^ _191175 : [(1347 ^ _191175) ^ [] : [-(aInteger0(_234864))], (1350 ^ _191175) ^ [] : [-(aInteger0(1348 ^ [_234127, _234864]))], (1352 ^ _191175) ^ [] : [-(sdtasdt0(1335 ^ [_234127], 1348 ^ [_234127, _234864]) = sdtpldt0(_234864, smndt0(_234127)))], (1354 ^ _191175) ^ [] : [-(aDivisorOf0(1335 ^ [_234127], sdtpldt0(_234864, smndt0(_234127))))], (1356 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_234864, _234127, 1335 ^ [_234127]))]]], (1358 ^ _191175) ^ [_235479] : [-(aElementOf0(_235479, szAzrzSzezqlpdtcmdtrp0(_234127, 1335 ^ [_234127]))), aInteger0(_235479), 1363 ^ _191175 : [(1370 ^ _191175) ^ [] : [aDivisorOf0(1335 ^ [_234127], sdtpldt0(_235479, smndt0(_234127)))], (1372 ^ _191175) ^ [] : [sdteqdtlpzmzozddtrp0(_235479, _234127, 1335 ^ [_234127])], (1364 ^ _191175) ^ [_235724] : [aInteger0(_235724), sdtasdt0(1335 ^ [_234127], _235724) = sdtpldt0(_235479, smndt0(_234127))]]]]], (1384 ^ _191175) ^ [] : [-(isOpen0(stldt0(sbsmnsldt0(xS))))], (1386 ^ _191175) ^ [] : [-(isClosed0(sbsmnsldt0(xS)))], (1388 ^ _191175) ^ [] : [-(aSet0(sbsmnsldt0(xS)))], (1390 ^ _191175) ^ [_236621] : [aElementOf0(_236621, sbsmnsldt0(xS)), 1393 ^ _191175 : [(1394 ^ _191175) ^ [] : [-(aInteger0(_236621))], (1397 ^ _191175) ^ [] : [-(aElementOf0(1395 ^ [_236621], xS))], (1399 ^ _191175) ^ [] : [-(aElementOf0(_236621, 1395 ^ [_236621]))]]], (1401 ^ _191175) ^ [_236982] : [-(aElementOf0(_236982, sbsmnsldt0(xS))), aInteger0(_236982), 1406 ^ _191175 : [(1407 ^ _191175) ^ [_237151] : [aElementOf0(_237151, xS), aElementOf0(_236982, _237151)]]], (1415 ^ _191175) ^ [_237432] : [aElementOf0(_237432, stldt0(sbsmnsldt0(xS))), 1418 ^ _191175 : [(1419 ^ _191175) ^ [] : [-(aInteger0(_237432))], (1421 ^ _191175) ^ [] : [aElementOf0(_237432, sbsmnsldt0(xS))]]], (1423 ^ _191175) ^ [_237660] : [-(aElementOf0(_237660, stldt0(sbsmnsldt0(xS)))), aInteger0(_237660), -(aElementOf0(_237660, sbsmnsldt0(xS)))], (1433 ^ _191175) ^ [_237918] : [aElementOf0(_237918, stldt0(sbsmnsldt0(xS))), 1437 ^ _191175 : [(1438 ^ _191175) ^ [] : [-(aInteger0(1436 ^ [_237918]))], (1440 ^ _191175) ^ [] : [1436 ^ [_237918] = sz00], (1442 ^ _191175) ^ [] : [-(aSet0(szAzrzSzezqlpdtcmdtrp0(_237918, 1436 ^ [_237918])))], (1483 ^ _191175) ^ [] : [-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_237918, 1436 ^ [_237918]), stldt0(sbsmnsldt0(xS))))], (1477 ^ _191175) ^ [_239941] : [aElementOf0(_239941, szAzrzSzezqlpdtcmdtrp0(_237918, 1436 ^ [_237918])), -(aElementOf0(_239941, stldt0(sbsmnsldt0(xS))))], (1444 ^ _191175) ^ [_238655] : [aElementOf0(_238655, szAzrzSzezqlpdtcmdtrp0(_237918, 1436 ^ [_237918])), 1447 ^ _191175 : [(1448 ^ _191175) ^ [] : [-(aInteger0(_238655))], (1451 ^ _191175) ^ [] : [-(aInteger0(1449 ^ [_237918, _238655]))], (1453 ^ _191175) ^ [] : [-(sdtasdt0(1436 ^ [_237918], 1449 ^ [_237918, _238655]) = sdtpldt0(_238655, smndt0(_237918)))], (1455 ^ _191175) ^ [] : [-(aDivisorOf0(1436 ^ [_237918], sdtpldt0(_238655, smndt0(_237918))))], (1457 ^ _191175) ^ [] : [-(sdteqdtlpzmzozddtrp0(_238655, _237918, 1436 ^ [_237918]))]]], (1459 ^ _191175) ^ [_239270] : [-(aElementOf0(_239270, szAzrzSzezqlpdtcmdtrp0(_237918, 1436 ^ [_237918]))), aInteger0(_239270), 1464 ^ _191175 : [(1471 ^ _191175) ^ [] : [aDivisorOf0(1436 ^ [_237918], sdtpldt0(_239270, smndt0(_237918)))], (1473 ^ _191175) ^ [] : [sdteqdtlpzmzozddtrp0(_239270, _237918, 1436 ^ [_237918])], (1465 ^ _191175) ^ [_239515] : [aInteger0(_239515), sdtasdt0(1436 ^ [_237918], _239515) = sdtpldt0(_239270, smndt0(_237918))]]]]]], input).
% 1.07/1.36 ncf('1',plain,[aElementOf0(sz10, stldt0(sbsmnsldt0(xS))), 1339 : 1335 ^ [sz10] = sz00],start(1332 ^ 0,bind([[_234127], [sz10]]))).
% 1.07/1.36 ncf('1.1',plain,[-(aElementOf0(sz10, stldt0(sbsmnsldt0(xS)))), 1277 : sz10 = sz10],extension(1275 ^ 1,bind([[_232364], [sz10]]))).
% 1.07/1.36 ncf('1.1.1',plain,[-(sz10 = sz10)],extension(2 ^ 4,bind([[_191319], [sz10]]))).
% 1.07/1.36 ncf('1.2',plain,[-(1335 ^ [sz10] = sz00), aInteger0(1335 ^ [sz10]), 1578 : aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, 1335 ^ [sz10]), stldt0(sbsmnsldt0(xS)))],extension(1485 ^ 3,bind([[_240620], [1335 ^ [sz10]]]))).
% 1.07/1.36 ncf('1.2.1',plain,[-(aInteger0(1335 ^ [sz10]))],extension(1337 ^ 4)).
% 1.07/1.36 ncf('1.2.2',plain,[-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, 1335 ^ [sz10]), stldt0(sbsmnsldt0(xS))))],extension(1382 ^ 6)).
% 1.07/1.36 %-----------------------------------------------------
% 1.07/1.36 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------