TSTP Solution File: RNG106+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 11:49:51 EDT 2023
% Result : Theorem 0.34s 1.37s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n029.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 20:36:28 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.37
% 0.34/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 ncf(matrix, plain, [(916 ^ _126411) ^ [_157256, _157258, _157260] : [940 ^ _126411 : [(941 ^ _126411) ^ [] : [-(aElement0(939 ^ [_157256, _157258, _157260]))], (943 ^ _126411) ^ [] : [-(sdtasdt0(xc, 939 ^ [_157256, _157258, _157260]) = _157260)], (946 ^ _126411) ^ [] : [-(aElement0(944 ^ [_157256, _157258, _157260]))], (948 ^ _126411) ^ [] : [-(sdtasdt0(xc, 944 ^ [_157256, _157258, _157260]) = _157258)], (950 ^ _126411) ^ [] : [-(sdtpldt0(_157260, _157258) = sdtasdt0(xc, sdtpldt0(939 ^ [_157256, _157258, _157260], 944 ^ [_157256, _157258, _157260])))], (952 ^ _126411) ^ [] : [-(sdtasdt0(_157256, _157260) = sdtasdt0(xc, sdtasdt0(939 ^ [_157256, _157258, _157260], _157256)))], (955 ^ _126411) ^ [] : [-(aElement0(953 ^ [_157256, _157258, _157260]))], (957 ^ _126411) ^ [] : [-(sdtasdt0(xc, 953 ^ [_157256, _157258, _157260]) = sdtpldt0(_157260, _157258))], (959 ^ _126411) ^ [] : [-(aElementOf0(sdtpldt0(_157260, _157258), slsdtgt0(xc)))], (962 ^ _126411) ^ [] : [-(aElement0(960 ^ [_157256, _157258, _157260]))], (964 ^ _126411) ^ [] : [-(sdtasdt0(xc, 960 ^ [_157256, _157258, _157260]) = sdtasdt0(_157256, _157260))], (966 ^ _126411) ^ [] : [-(aElementOf0(sdtasdt0(_157256, _157260), slsdtgt0(xc)))]], 919 ^ _126411 : [(926 ^ _126411) ^ [] : [aElementOf0(_157260, slsdtgt0(xc))], (920 ^ _126411) ^ [_157568] : [aElement0(_157568), sdtasdt0(xc, _157568) = _157260]], aElement0(_157256), 929 ^ _126411 : [(936 ^ _126411) ^ [] : [aElementOf0(_157258, slsdtgt0(xc))], (930 ^ _126411) ^ [_157870] : [aElement0(_157870), sdtasdt0(xc, _157870) = _157258]]], (1004 ^ _126411) ^ [] : [aIdeal0(slsdtgt0(xc))], (990 ^ _126411) ^ [] : [-(aElementOf0(988 ^ [], slsdtgt0(xc)))], (992 ^ _126411) ^ [] : [994 ^ _126411 : [(995 ^ _126411) ^ [] : [-(aElementOf0(993 ^ [], slsdtgt0(xc)))], (997 ^ _126411) ^ [] : [aElementOf0(sdtpldt0(988 ^ [], 993 ^ []), slsdtgt0(xc))]], 999 ^ _126411 : [(1000 ^ _126411) ^ [] : [-(aElement0(998 ^ []))], (1002 ^ _126411) ^ [] : [aElementOf0(sdtasdt0(998 ^ [], 988 ^ []), slsdtgt0(xc))]]], (968 ^ _126411) ^ [] : [-(aSet0(slsdtgt0(xc)))], (970 ^ _126411) ^ [_159693] : [aElementOf0(_159693, slsdtgt0(xc)), 974 ^ _126411 : [(975 ^ _126411) ^ [] : [-(aElement0(973 ^ [_159693]))], (977 ^ _126411) ^ [] : [-(sdtasdt0(xc, 973 ^ [_159693]) = _159693)]]], (979 ^ _126411) ^ [_159990] : [-(aElementOf0(_159990, slsdtgt0(xc))), 980 ^ _126411 : [(981 ^ _126411) ^ [_160082] : [aElement0(_160082), sdtasdt0(xc, _160082) = _159990]]], (166 ^ _126411) ^ [_131831, _131833, _131835, _131837] : [-(sdtasasdt0(_131837, _131833) = sdtasasdt0(_131835, _131831)), _131837 = _131835, _131833 = _131831], (176 ^ _126411) ^ [_132162, _132164] : [_132164 = _132162, -(smndt0(_132164) = smndt0(_132162))], (182 ^ _126411) ^ [_132408, _132410, _132412, _132414] : [-(sdtpldt1(_132414, _132410) = sdtpldt1(_132412, _132408)), _132414 = _132412, _132410 = _132408], (192 ^ _126411) ^ [_132739, _132741] : [_132741 = _132739, -(sbrdtbr0(_132741) = sbrdtbr0(_132739))], (198 ^ _126411) ^ [_132985, _132987, _132989, _132991] : [-(sdtpldt0(_132991, _132987) = sdtpldt0(_132989, _132985)), _132991 = _132989, _132987 = _132985], (218 ^ _126411) ^ [_133655, _133657] : [_133657 = _133655, -(slsdtgt0(_133657) = slsdtgt0(_133655))], (208 ^ _126411) ^ [_133344, _133346, _133348, _133350] : [-(sdtasdt0(_133350, _133346) = sdtasdt0(_133348, _133344)), _133350 = _133348, _133346 = _133344], (2 ^ _126411) ^ [_126555] : [-(_126555 = _126555)], (4 ^ _126411) ^ [_126662, _126664] : [_126664 = _126662, -(_126662 = _126664)], (10 ^ _126411) ^ [_126866, _126868, _126870] : [-(_126870 = _126866), _126870 = _126868, _126868 = _126866], (20 ^ _126411) ^ [_127235, _127237, _127239, _127241, _127243, _127245] : [-(sdteqdtlpzmzozddtrp0(_127243, _127239, _127235)), sdteqdtlpzmzozddtrp0(_127245, _127241, _127237), _127245 = _127243, _127241 = _127239, _127237 = _127235], (38 ^ _126411) ^ [_127788, _127790] : [-(aNaturalNumber0(_127788)), _127790 = _127788, aNaturalNumber0(_127790)], (48 ^ _126411) ^ [_128111, _128113, _128115, _128117] : [-(iLess0(_128115, _128111)), iLess0(_128117, _128113), _128117 = _128115, _128113 = _128111], (62 ^ _126411) ^ [_128555, _128557, _128559, _128561] : [-(aDivisorOf0(_128559, _128555)), aDivisorOf0(_128561, _128557), _128561 = _128559, _128557 = _128555], (76 ^ _126411) ^ [_128999, _129001, _129003, _129005] : [-(doDivides0(_129003, _128999)), doDivides0(_129005, _129001), _129005 = _129003, _129001 = _128999], (90 ^ _126411) ^ [_129443, _129445, _129447, _129449] : [-(misRelativelyPrime0(_129447, _129443)), misRelativelyPrime0(_129449, _129445), _129449 = _129447, _129445 = _129443], (104 ^ _126411) ^ [_129915, _129917, _129919, _129921, _129923, _129925] : [-(aGcdOfAnd0(_129923, _129919, _129915)), aGcdOfAnd0(_129925, _129921, _129917), _129925 = _129923, _129921 = _129919, _129917 = _129915], (122 ^ _126411) ^ [_130468, _130470] : [-(aSet0(_130468)), _130470 = _130468, aSet0(_130470)], (132 ^ _126411) ^ [_130763, _130765] : [-(aElement0(_130763)), _130765 = _130763, aElement0(_130765)], (156 ^ _126411) ^ [_131482, _131484] : [-(aIdeal0(_131482)), _131484 = _131482, aIdeal0(_131484)], (142 ^ _126411) ^ [_131086, _131088, _131090, _131092] : [-(aElementOf0(_131090, _131086)), aElementOf0(_131092, _131088), _131092 = _131090, _131088 = _131086], (224 ^ _126411) ^ [_133917] : [aElement0(_133917), true___, -(true___)], (234 ^ _126411) ^ [] : [-(aElement0(sz00))], (236 ^ _126411) ^ [] : [-(aElement0(sz10))], (238 ^ _126411) ^ [_134278] : [aElement0(_134278), -(aElement0(smndt0(_134278)))], (244 ^ _126411) ^ [_134482, _134484] : [-(aElement0(sdtpldt0(_134484, _134482))), aElement0(_134484), aElement0(_134482)], (254 ^ _126411) ^ [_134781, _134783] : [-(aElement0(sdtasdt0(_134783, _134781))), aElement0(_134783), aElement0(_134781)], (264 ^ _126411) ^ [_135080, _135082] : [-(sdtpldt0(_135082, _135080) = sdtpldt0(_135080, _135082)), aElement0(_135082), aElement0(_135080)], (274 ^ _126411) ^ [_135401, _135403, _135405] : [-(sdtpldt0(sdtpldt0(_135405, _135403), _135401) = sdtpldt0(_135405, sdtpldt0(_135403, _135401))), aElement0(_135405), aElement0(_135403), aElement0(_135401)], (288 ^ _126411) ^ [_135807] : [aElement0(_135807), 291 ^ _126411 : [(292 ^ _126411) ^ [] : [-(sdtpldt0(_135807, sz00) = _135807)], (294 ^ _126411) ^ [] : [-(_135807 = sdtpldt0(sz00, _135807))]]], (296 ^ _126411) ^ [_136080] : [aElement0(_136080), 299 ^ _126411 : [(300 ^ _126411) ^ [] : [-(sdtpldt0(_136080, smndt0(_136080)) = sz00)], (302 ^ _126411) ^ [] : [-(sz00 = sdtpldt0(smndt0(_136080), _136080))]]], (304 ^ _126411) ^ [_136375, _136377] : [-(sdtasdt0(_136377, _136375) = sdtasdt0(_136375, _136377)), aElement0(_136377), aElement0(_136375)], (314 ^ _126411) ^ [_136696, _136698, _136700] : [-(sdtasdt0(sdtasdt0(_136700, _136698), _136696) = sdtasdt0(_136700, sdtasdt0(_136698, _136696))), aElement0(_136700), aElement0(_136698), aElement0(_136696)], (328 ^ _126411) ^ [_137102] : [aElement0(_137102), 331 ^ _126411 : [(332 ^ _126411) ^ [] : [-(sdtasdt0(_137102, sz10) = _137102)], (334 ^ _126411) ^ [] : [-(_137102 = sdtasdt0(sz10, _137102))]]], (336 ^ _126411) ^ [_137403, _137405, _137407] : [347 ^ _126411 : [(348 ^ _126411) ^ [] : [-(sdtasdt0(_137407, sdtpldt0(_137405, _137403)) = sdtpldt0(sdtasdt0(_137407, _137405), sdtasdt0(_137407, _137403)))], (350 ^ _126411) ^ [] : [-(sdtasdt0(sdtpldt0(_137405, _137403), _137407) = sdtpldt0(sdtasdt0(_137405, _137407), sdtasdt0(_137403, _137407)))]], aElement0(_137407), aElement0(_137405), aElement0(_137403)], (352 ^ _126411) ^ [_137922] : [aElement0(_137922), 355 ^ _126411 : [(356 ^ _126411) ^ [] : [-(sdtasdt0(smndt0(sz10), _137922) = smndt0(_137922))], (358 ^ _126411) ^ [] : [-(smndt0(_137922) = sdtasdt0(_137922, smndt0(sz10)))]]], (360 ^ _126411) ^ [_138203] : [aElement0(_138203), 363 ^ _126411 : [(364 ^ _126411) ^ [] : [-(sdtasdt0(_138203, sz00) = sz00)], (366 ^ _126411) ^ [] : [-(sz00 = sdtasdt0(sz00, _138203))]]], (368 ^ _126411) ^ [_138490, _138492] : [aElement0(_138492), aElement0(_138490), sdtasdt0(_138492, _138490) = sz00, -(_138492 = sz00), -(_138490 = sz00)], (386 ^ _126411) ^ [] : [sz10 = sz00], (388 ^ _126411) ^ [_139010] : [aSet0(_139010), true___, -(true___)], (398 ^ _126411) ^ [_139265] : [aSet0(_139265), 401 ^ _126411 : [(402 ^ _126411) ^ [_139395] : [aElementOf0(_139395, _139265), -(aElement0(_139395))]]], (408 ^ _126411) ^ [_139610, _139612] : [aSet0(_139612), aSet0(_139610), -(_139612 = _139610), 420 ^ _126411 : [(421 ^ _126411) ^ [] : [-(aElementOf0(419 ^ [_139610, _139612], _139612))], (423 ^ _126411) ^ [] : [aElementOf0(419 ^ [_139610, _139612], _139610)]], 425 ^ _126411 : [(426 ^ _126411) ^ [] : [-(aElementOf0(424 ^ [_139610, _139612], _139610))], (428 ^ _126411) ^ [] : [aElementOf0(424 ^ [_139610, _139612], _139612)]]], (432 ^ _126411) ^ [_140375, _140377] : [aSet0(_140377), aSet0(_140375), 439 ^ _126411 : [(472 ^ _126411) ^ [_142005] : [-(_142005 = sdtpldt1(_140377, _140375)), aSet0(_142005), 494 ^ _126411 : [(495 ^ _126411) ^ [] : [-(aElementOf0(492 ^ [_140375, _140377, _142005], _140377))], (497 ^ _126411) ^ [] : [-(aElementOf0(493 ^ [_140375, _140377, _142005], _140375))], (499 ^ _126411) ^ [] : [-(sdtpldt0(492 ^ [_140375, _140377, _142005], 493 ^ [_140375, _140377, _142005]) = 477 ^ [_140375, _140377, _142005])], (501 ^ _126411) ^ [] : [aElementOf0(477 ^ [_140375, _140377, _142005], _142005)]], 480 ^ _126411 : [(481 ^ _126411) ^ [] : [-(aElementOf0(477 ^ [_140375, _140377, _142005], _142005))], (483 ^ _126411) ^ [_142434, _142436] : [aElementOf0(_142436, _140377), aElementOf0(_142434, _140375), sdtpldt0(_142436, _142434) = 477 ^ [_140375, _140377, _142005]]]], (440 ^ _126411) ^ [_140670] : [_140670 = sdtpldt1(_140377, _140375), 443 ^ _126411 : [(444 ^ _126411) ^ [] : [-(aSet0(_140670))], (446 ^ _126411) ^ [_140947] : [aElementOf0(_140947, _140670), 451 ^ _126411 : [(452 ^ _126411) ^ [] : [-(aElementOf0(449 ^ [_140375, _140377, _140670, _140947], _140377))], (454 ^ _126411) ^ [] : [-(aElementOf0(450 ^ [_140375, _140377, _140670, _140947], _140375))], (456 ^ _126411) ^ [] : [-(sdtpldt0(449 ^ [_140375, _140377, _140670, _140947], 450 ^ [_140375, _140377, _140670, _140947]) = _140947)]]], (458 ^ _126411) ^ [_141507] : [-(aElementOf0(_141507, _140670)), 459 ^ _126411 : [(460 ^ _126411) ^ [_141637, _141639] : [aElementOf0(_141639, _140377), aElementOf0(_141637, _140375), sdtpldt0(_141639, _141637) = _141507]]]]]]], (505 ^ _126411) ^ [_143355, _143357] : [aSet0(_143357), aSet0(_143355), 512 ^ _126411 : [(537 ^ _126411) ^ [_144434] : [-(_144434 = sdtasasdt0(_143357, _143355)), aSet0(_144434), 553 ^ _126411 : [(554 ^ _126411) ^ [] : [-(aElementOf0(542 ^ [_143355, _143357, _144434], _143357))], (556 ^ _126411) ^ [] : [-(aElementOf0(542 ^ [_143355, _143357, _144434], _143355))], (558 ^ _126411) ^ [] : [aElementOf0(542 ^ [_143355, _143357, _144434], _144434)]], 545 ^ _126411 : [(546 ^ _126411) ^ [] : [-(aElementOf0(542 ^ [_143355, _143357, _144434], _144434))], (548 ^ _126411) ^ [] : [aElementOf0(542 ^ [_143355, _143357, _144434], _143357), aElementOf0(542 ^ [_143355, _143357, _144434], _143355)]]], (513 ^ _126411) ^ [_143631] : [_143631 = sdtasasdt0(_143357, _143355), 516 ^ _126411 : [(517 ^ _126411) ^ [] : [-(aSet0(_143631))], (519 ^ _126411) ^ [_143889] : [aElementOf0(_143889, _143631), 522 ^ _126411 : [(523 ^ _126411) ^ [] : [-(aElementOf0(_143889, _143357))], (525 ^ _126411) ^ [] : [-(aElementOf0(_143889, _143355))]]], (527 ^ _126411) ^ [_144148] : [-(aElementOf0(_144148, _143631)), aElementOf0(_144148, _143357), aElementOf0(_144148, _143355)]]]]], (584 ^ _126411) ^ [_146099] : [-(aIdeal0(_146099)), aSet0(_146099), 590 ^ _126411 : [(591 ^ _126411) ^ [] : [-(aElementOf0(589 ^ [_146099], _146099))], (593 ^ _126411) ^ [] : [595 ^ _126411 : [(596 ^ _126411) ^ [] : [-(aElementOf0(594 ^ [_146099], _146099))], (598 ^ _126411) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_146099], 594 ^ [_146099]), _146099)]], 600 ^ _126411 : [(601 ^ _126411) ^ [] : [-(aElement0(599 ^ [_146099]))], (603 ^ _126411) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_146099], 589 ^ [_146099]), _146099)]]]]], (562 ^ _126411) ^ [_145304] : [aIdeal0(_145304), 565 ^ _126411 : [(566 ^ _126411) ^ [] : [-(aSet0(_145304))], (568 ^ _126411) ^ [_145536] : [aElementOf0(_145536, _145304), 571 ^ _126411 : [(572 ^ _126411) ^ [_145717] : [aElementOf0(_145717, _145304), -(aElementOf0(sdtpldt0(_145536, _145717), _145304))], (578 ^ _126411) ^ [_145909] : [aElement0(_145909), -(aElementOf0(sdtasdt0(_145909, _145536), _145304))]]]]], (607 ^ _126411) ^ [_146939, _146941] : [-(aIdeal0(sdtpldt1(_146941, _146939))), aIdeal0(_146941), aIdeal0(_146939)], (617 ^ _126411) ^ [_147238, _147240] : [-(aIdeal0(sdtasasdt0(_147240, _147238))), aIdeal0(_147240), aIdeal0(_147238)], (627 ^ _126411) ^ [_147551, _147553, _147555] : [aElement0(_147555), aElement0(_147553), aIdeal0(_147551), 638 ^ _126411 : [(639 ^ _126411) ^ [] : [sdteqdtlpzmzozddtrp0(_147555, _147553, _147551), -(aElementOf0(sdtpldt0(_147555, smndt0(_147553)), _147551))], (645 ^ _126411) ^ [] : [aElementOf0(sdtpldt0(_147555, smndt0(_147553)), _147551), -(sdteqdtlpzmzozddtrp0(_147555, _147553, _147551))]]], (651 ^ _126411) ^ [_148229, _148231] : [aIdeal0(_148231), aIdeal0(_148229), 661 ^ _126411 : [(662 ^ _126411) ^ [] : [-(aElement0(660 ^ [_148229, _148231]))], (664 ^ _126411) ^ [] : [aElementOf0(660 ^ [_148229, _148231], sdtpldt1(_148231, _148229))]], 665 ^ _126411 : [(666 ^ _126411) ^ [_148727, _148729] : [674 ^ _126411 : [(675 ^ _126411) ^ [] : [-(aElement0(673 ^ [_148229, _148231, _148727, _148729]))], (677 ^ _126411) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_148229, _148231, _148727, _148729], _148729, _148231))], (679 ^ _126411) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_148229, _148231, _148727, _148729], _148727, _148229))]], aElement0(_148729), aElement0(_148727)]]], (681 ^ _126411) ^ [_149307] : [aNaturalNumber0(_149307), true___, -(true___)], (691 ^ _126411) ^ [_149562] : [-(aNaturalNumber0(sbrdtbr0(_149562))), aElement0(_149562), -(_149562 = sz00)], (701 ^ _126411) ^ [_149854, _149856] : [aNaturalNumber0(_149856), aNaturalNumber0(_149854), iLess0(_149856, _149854), true___, -(true___)], (719 ^ _126411) ^ [_150314, _150316] : [732 ^ _126411 : [(733 ^ _126411) ^ [] : [-(aElement0(730 ^ [_150314, _150316]))], (735 ^ _126411) ^ [] : [-(aElement0(731 ^ [_150314, _150316]))], (737 ^ _126411) ^ [] : [-(_150316 = sdtpldt0(sdtasdt0(730 ^ [_150314, _150316], _150314), 731 ^ [_150314, _150316]))], (739 ^ _126411) ^ [] : [-(731 ^ [_150314, _150316] = sz00), -(iLess0(sbrdtbr0(731 ^ [_150314, _150316]), sbrdtbr0(_150314)))]], aElement0(_150316), aElement0(_150314), -(_150314 = sz00)], (745 ^ _126411) ^ [_151261, _151263] : [aElement0(_151263), aElement0(_151261), 752 ^ _126411 : [(753 ^ _126411) ^ [] : [doDivides0(_151263, _151261), 757 ^ _126411 : [(758 ^ _126411) ^ [] : [-(aElement0(756 ^ [_151261, _151263]))], (760 ^ _126411) ^ [] : [-(sdtasdt0(_151263, 756 ^ [_151261, _151263]) = _151261)]]], (762 ^ _126411) ^ [] : [-(doDivides0(_151263, _151261)), 763 ^ _126411 : [(764 ^ _126411) ^ [_151821] : [aElement0(_151821), sdtasdt0(_151263, _151821) = _151261]]]]], (772 ^ _126411) ^ [_152090] : [aElement0(_152090), 775 ^ _126411 : [(776 ^ _126411) ^ [_152255] : [aDivisorOf0(_152255, _152090), 779 ^ _126411 : [(780 ^ _126411) ^ [] : [-(aElement0(_152255))], (782 ^ _126411) ^ [] : [-(doDivides0(_152255, _152090))]]], (784 ^ _126411) ^ [_152492] : [-(aDivisorOf0(_152492, _152090)), aElement0(_152492), doDivides0(_152492, _152090)]]], (794 ^ _126411) ^ [_152798, _152800] : [aElement0(_152800), aElement0(_152798), 801 ^ _126411 : [(802 ^ _126411) ^ [_153079] : [aGcdOfAnd0(_153079, _152800, _152798), 805 ^ _126411 : [(806 ^ _126411) ^ [] : [-(aDivisorOf0(_153079, _152800))], (808 ^ _126411) ^ [] : [-(aDivisorOf0(_153079, _152798))], (810 ^ _126411) ^ [_153380] : [-(doDivides0(_153380, _153079)), aDivisorOf0(_153380, _152800), aDivisorOf0(_153380, _152798)]]], (820 ^ _126411) ^ [_153666] : [-(aGcdOfAnd0(_153666, _152800, _152798)), aDivisorOf0(_153666, _152800), aDivisorOf0(_153666, _152798), 830 ^ _126411 : [(831 ^ _126411) ^ [] : [-(aDivisorOf0(829 ^ [_152798, _152800, _153666], _152800))], (833 ^ _126411) ^ [] : [-(aDivisorOf0(829 ^ [_152798, _152800, _153666], _152798))], (835 ^ _126411) ^ [] : [doDivides0(829 ^ [_152798, _152800, _153666], _153666)]]]]], (839 ^ _126411) ^ [_154331, _154333] : [aElement0(_154333), aElement0(_154331), 846 ^ _126411 : [(847 ^ _126411) ^ [] : [misRelativelyPrime0(_154333, _154331), -(aGcdOfAnd0(sz10, _154333, _154331))], (853 ^ _126411) ^ [] : [aGcdOfAnd0(sz10, _154333, _154331), -(misRelativelyPrime0(_154333, _154331))]]], (914 ^ _126411) ^ [] : [-(aElement0(xc))], (859 ^ _126411) ^ [_154867] : [aElement0(_154867), 862 ^ _126411 : [(888 ^ _126411) ^ [_155991] : [-(_155991 = slsdtgt0(_154867)), aSet0(_155991), 905 ^ _126411 : [(906 ^ _126411) ^ [] : [-(aElement0(904 ^ [_154867, _155991]))], (908 ^ _126411) ^ [] : [-(sdtasdt0(_154867, 904 ^ [_154867, _155991]) = 893 ^ [_154867, _155991])], (910 ^ _126411) ^ [] : [aElementOf0(893 ^ [_154867, _155991], _155991)]], 896 ^ _126411 : [(897 ^ _126411) ^ [] : [-(aElementOf0(893 ^ [_154867, _155991], _155991))], (899 ^ _126411) ^ [_156363] : [aElement0(_156363), sdtasdt0(_154867, _156363) = 893 ^ [_154867, _155991]]]], (863 ^ _126411) ^ [_155058] : [_155058 = slsdtgt0(_154867), 866 ^ _126411 : [(867 ^ _126411) ^ [] : [-(aSet0(_155058))], (869 ^ _126411) ^ [_155313] : [aElementOf0(_155313, _155058), 873 ^ _126411 : [(874 ^ _126411) ^ [] : [-(aElement0(872 ^ [_154867, _155058, _155313]))], (876 ^ _126411) ^ [] : [-(sdtasdt0(_154867, 872 ^ [_154867, _155058, _155313]) = _155313)]]], (878 ^ _126411) ^ [_155646] : [-(aElementOf0(_155646, _155058)), 879 ^ _126411 : [(880 ^ _126411) ^ [_155746] : [aElement0(_155746), sdtasdt0(_154867, _155746) = _155646]]]]]]]], input).
% 0.34/1.37 ncf('1',plain,[997 : aElementOf0(sdtpldt0(988 ^ [], 993 ^ []), slsdtgt0(xc)), 1002 : aElementOf0(sdtasdt0(998 ^ [], 988 ^ []), slsdtgt0(xc))],start(992 ^ 0)).
% 0.34/1.37 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(988 ^ [], 993 ^ []), slsdtgt0(xc))), 926 : aElementOf0(988 ^ [], slsdtgt0(xc)), 926 : aElement0(sz00), 936 : aElementOf0(993 ^ [], slsdtgt0(xc))],extension(916 ^ 3,bind([[_157256, _157258, _157260], [sz00, 993 ^ [], 988 ^ []]]))).
% 0.34/1.37 ncf('1.1.1',plain,[-(aElementOf0(988 ^ [], slsdtgt0(xc)))],extension(990 ^ 6)).
% 0.34/1.37 ncf('1.1.2',plain,[-(aElement0(sz00))],extension(234 ^ 4)).
% 0.34/1.37 ncf('1.1.3',plain,[-(aElementOf0(993 ^ [], slsdtgt0(xc)))],extension(995 ^ 6)).
% 0.34/1.37 ncf('1.2',plain,[-(aElementOf0(sdtasdt0(998 ^ [], 988 ^ []), slsdtgt0(xc))), 926 : aElementOf0(988 ^ [], slsdtgt0(xc)), 926 : aElement0(998 ^ []), 936 : aElementOf0(988 ^ [], slsdtgt0(xc))],extension(916 ^ 3,bind([[_157256, _157258, _157260], [998 ^ [], 988 ^ [], 988 ^ []]]))).
% 0.34/1.37 ncf('1.2.1',plain,[-(aElementOf0(988 ^ [], slsdtgt0(xc)))],extension(990 ^ 6)).
% 0.34/1.37 ncf('1.2.2',plain,[-(aElement0(998 ^ []))],extension(1000 ^ 4)).
% 0.34/1.37 ncf('1.2.3',plain,[-(aElementOf0(988 ^ [], slsdtgt0(xc)))],extension(990 ^ 6)).
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------