TSTP Solution File: NUM423+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 11:44:35 EDT 2023
% Result : Theorem 2.11s 2.41s
% Output : Proof 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.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 16:44:18 EDT 2023
% 0.12/0.33 % CPUTime :
% 2.11/2.41
% 2.11/2.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.11/2.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.11/2.41 %-----------------------------------------------------
% 2.11/2.41 ncf(matrix, plain, [(319 ^ _53451) ^ [] : [sdteqdtlpzmzozddtrp0(xa, xa, xq)], (62 ^ _53451) ^ [_55585, _55587, _55589, _55591] : [-(sdtasdt0(_55591, _55587) = sdtasdt0(_55589, _55585)), _55591 = _55589, _55587 = _55585], (82 ^ _53451) ^ [_56255, _56257] : [_56257 = _56255, -(smndt0(_56257) = smndt0(_56255))], (72 ^ _53451) ^ [_55944, _55946, _55948, _55950] : [-(sdtpldt0(_55950, _55946) = sdtpldt0(_55948, _55944)), _55950 = _55948, _55946 = _55944], (2 ^ _53451) ^ [_53595] : [-(_53595 = _53595)], (4 ^ _53451) ^ [_53702, _53704] : [_53704 = _53702, -(_53702 = _53704)], (10 ^ _53451) ^ [_53906, _53908, _53910] : [-(_53910 = _53906), _53910 = _53908, _53908 = _53906], (20 ^ _53451) ^ [_54247, _54249, _54251, _54253] : [-(aDivisorOf0(_54251, _54247)), aDivisorOf0(_54253, _54249), _54253 = _54251, _54249 = _54247], (34 ^ _53451) ^ [_54663, _54665] : [-(aInteger0(_54663)), _54665 = _54663, aInteger0(_54665)], (44 ^ _53451) ^ [_54994, _54996, _54998, _55000, _55002, _55004] : [-(sdteqdtlpzmzozddtrp0(_55002, _54998, _54994)), sdteqdtlpzmzozddtrp0(_55004, _55000, _54996), _55004 = _55002, _55000 = _54998, _54996 = _54994], (88 ^ _53451) ^ [_56469] : [aInteger0(_56469), true___, -(true___)], (98 ^ _53451) ^ [] : [-(aInteger0(sz00))], (100 ^ _53451) ^ [] : [-(aInteger0(sz10))], (102 ^ _53451) ^ [_56830] : [aInteger0(_56830), -(aInteger0(smndt0(_56830)))], (108 ^ _53451) ^ [_57034, _57036] : [-(aInteger0(sdtpldt0(_57036, _57034))), aInteger0(_57036), aInteger0(_57034)], (118 ^ _53451) ^ [_57333, _57335] : [-(aInteger0(sdtasdt0(_57335, _57333))), aInteger0(_57335), aInteger0(_57333)], (128 ^ _53451) ^ [_57646, _57648, _57650] : [-(sdtpldt0(_57650, sdtpldt0(_57648, _57646)) = sdtpldt0(sdtpldt0(_57650, _57648), _57646)), aInteger0(_57650), aInteger0(_57648), aInteger0(_57646)], (142 ^ _53451) ^ [_58066, _58068] : [-(sdtpldt0(_58068, _58066) = sdtpldt0(_58066, _58068)), aInteger0(_58068), aInteger0(_58066)], (152 ^ _53451) ^ [_58359] : [aInteger0(_58359), 155 ^ _53451 : [(156 ^ _53451) ^ [] : [-(sdtpldt0(_58359, sz00) = _58359)], (158 ^ _53451) ^ [] : [-(_58359 = sdtpldt0(sz00, _58359))]]], (160 ^ _53451) ^ [_58632] : [aInteger0(_58632), 163 ^ _53451 : [(164 ^ _53451) ^ [] : [-(sdtpldt0(_58632, smndt0(_58632)) = sz00)], (166 ^ _53451) ^ [] : [-(sz00 = sdtpldt0(smndt0(_58632), _58632))]]], (168 ^ _53451) ^ [_58941, _58943, _58945] : [-(sdtasdt0(_58945, sdtasdt0(_58943, _58941)) = sdtasdt0(sdtasdt0(_58945, _58943), _58941)), aInteger0(_58945), aInteger0(_58943), aInteger0(_58941)], (182 ^ _53451) ^ [_59361, _59363] : [-(sdtasdt0(_59363, _59361) = sdtasdt0(_59361, _59363)), aInteger0(_59363), aInteger0(_59361)], (192 ^ _53451) ^ [_59654] : [aInteger0(_59654), 195 ^ _53451 : [(196 ^ _53451) ^ [] : [-(sdtasdt0(_59654, sz10) = _59654)], (198 ^ _53451) ^ [] : [-(_59654 = sdtasdt0(sz10, _59654))]]], (200 ^ _53451) ^ [_59955, _59957, _59959] : [211 ^ _53451 : [(212 ^ _53451) ^ [] : [-(sdtasdt0(_59959, sdtpldt0(_59957, _59955)) = sdtpldt0(sdtasdt0(_59959, _59957), sdtasdt0(_59959, _59955)))], (214 ^ _53451) ^ [] : [-(sdtasdt0(sdtpldt0(_59959, _59957), _59955) = sdtpldt0(sdtasdt0(_59959, _59955), sdtasdt0(_59957, _59955)))]], aInteger0(_59959), aInteger0(_59957), aInteger0(_59955)], (216 ^ _53451) ^ [_60474] : [aInteger0(_60474), 219 ^ _53451 : [(220 ^ _53451) ^ [] : [-(sdtasdt0(_60474, sz00) = sz00)], (222 ^ _53451) ^ [] : [-(sz00 = sdtasdt0(sz00, _60474))]]], (224 ^ _53451) ^ [_60747] : [aInteger0(_60747), 227 ^ _53451 : [(228 ^ _53451) ^ [] : [-(sdtasdt0(smndt0(sz10), _60747) = smndt0(_60747))], (230 ^ _53451) ^ [] : [-(smndt0(_60747) = sdtasdt0(_60747, smndt0(sz10)))]]], (232 ^ _53451) ^ [_61042, _61044] : [aInteger0(_61044), aInteger0(_61042), sdtasdt0(_61044, _61042) = sz00, -(_61044 = sz00), -(_61042 = sz00)], (313 ^ _53451) ^ [] : [-(aInteger0(xa))], (315 ^ _53451) ^ [] : [-(aInteger0(xq))], (317 ^ _53451) ^ [] : [xq = sz00], (285 ^ _53451) ^ [_62728, _62730, _62732] : [aInteger0(_62732), aInteger0(_62730), aInteger0(_62728), -(_62728 = sz00), 300 ^ _53451 : [(301 ^ _53451) ^ [] : [sdteqdtlpzmzozddtrp0(_62732, _62730, _62728), -(aDivisorOf0(_62728, sdtpldt0(_62732, smndt0(_62730))))], (307 ^ _53451) ^ [] : [aDivisorOf0(_62728, sdtpldt0(_62732, smndt0(_62730))), -(sdteqdtlpzmzozddtrp0(_62732, _62730, _62728))]]], (250 ^ _53451) ^ [_61510] : [aInteger0(_61510), 253 ^ _53451 : [(254 ^ _53451) ^ [_61696] : [aDivisorOf0(_61696, _61510), 257 ^ _53451 : [(258 ^ _53451) ^ [] : [-(aInteger0(_61696))], (260 ^ _53451) ^ [] : [_61696 = sz00], (263 ^ _53451) ^ [] : [-(aInteger0(261 ^ [_61510, _61696]))], (265 ^ _53451) ^ [] : [-(sdtasdt0(_61696, 261 ^ [_61510, _61696]) = _61510)]]], (267 ^ _53451) ^ [_62158] : [-(aDivisorOf0(_62158, _61510)), aInteger0(_62158), -(_62158 = sz00), 276 ^ _53451 : [(277 ^ _53451) ^ [_62425] : [aInteger0(_62425), sdtasdt0(_62158, _62425) = _61510]]]]]], input).
% 2.11/2.41 ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(xq, sz00), 260 : xq = sz00],start(250 ^ 0,bind([[_61510, _61696], [sz00, xq]]))).
% 2.11/2.41 ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 2.11/2.41 ncf('1.2',plain,[-(aDivisorOf0(xq, sz00)), aDivisorOf0(sz00, sz00), sz00 = xq, sz00 = sz00],extension(20 ^ 3,bind([[_54247, _54249, _54251, _54253], [sz00, sz00, xq, sz00]]))).
% 2.11/2.41 ncf('1.2.1',plain,[-(aDivisorOf0(sz00, sz00)), aInteger0(sz00), -(sz00 = sz00), 277 : aInteger0(sz00), 277 : sdtasdt0(sz00, sz00) = sz00],extension(267 ^ 4,bind([[_62158, _62425], [sz00, sz00]]))).
% 2.11/2.41 ncf('1.2.1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 5)).
% 2.11/2.41 ncf('1.2.1.2',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 5,bind([[_53906, _53908, _53910], [sz00, sz00, xq]]))).
% 2.11/2.41 ncf('1.2.1.2.1',plain,[xq = sz00],extension(317 ^ 6)).
% 2.11/2.41 ncf('1.2.1.2.2',plain,[-(xq = sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), 277 : aInteger0(sz00), 277 : sdtasdt0(xq, sz00) = sz00],extension(267 ^ 6,bind([[_62158, _62425], [xq, sz00]]))).
% 2.11/2.41 ncf('1.2.1.2.2.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 2.11/2.41 ncf('1.2.1.2.2.2',plain,[-(aInteger0(xq))],extension(315 ^ 7)).
% 2.11/2.41 ncf('1.2.1.2.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 9)).
% 2.11/2.41 ncf('1.2.1.2.2.4',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 9,bind([[_60474], [xq]]))).
% 2.11/2.41 ncf('1.2.1.2.2.4.1',plain,[-(aInteger0(xq))],lemmata('[2, 1, 2, 1].x')).
% 2.11/2.41 ncf('1.2.1.3',plain,[-(aInteger0(sz00))],extension(98 ^ 7)).
% 2.11/2.41 ncf('1.2.1.4',plain,[-(sdtasdt0(sz00, sz00) = sz00), sz00 = sdtasdt0(sz00, sz00)],extension(4 ^ 7,bind([[_53702, _53704], [sdtasdt0(sz00, sz00), sz00]]))).
% 2.11/2.41 ncf('1.2.1.4.1',plain,[-(sz00 = sdtasdt0(sz00, sz00)), aInteger0(sz00)],extension(216 ^ 8,bind([[_60474], [sz00]]))).
% 2.11/2.41 ncf('1.2.1.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 2.11/2.41 ncf('1.2.2',plain,[-(sz00 = xq), xq = sz00],extension(4 ^ 4,bind([[_53702, _53704], [sz00, xq]]))).
% 2.11/2.41 ncf('1.2.2.1',plain,[-(xq = sz00), aInteger0(xq), aInteger0(sz00), sdtasdt0(xq, sz00) = sz00, -(sz00 = sz00)],extension(232 ^ 5,bind([[_61042, _61044], [sz00, xq]]))).
% 2.11/2.41 ncf('1.2.2.1.1',plain,[-(aInteger0(xq))],extension(315 ^ 6)).
% 2.11/2.41 ncf('1.2.2.1.2',plain,[-(aInteger0(sz00))],extension(98 ^ 6)).
% 2.11/2.41 ncf('1.2.2.1.3',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 6,bind([[_60474], [xq]]))).
% 2.11/2.41 ncf('1.2.2.1.3.1',plain,[-(aInteger0(xq))],lemmata('[2, 2, 1].x')).
% 2.11/2.41 ncf('1.2.2.1.4',plain,[sz00 = sz00, aDivisorOf0(sz00, sz00)],extension(254 ^ 6,bind([[_61696], [sz00]]))).
% 2.11/2.41 ncf('1.2.2.1.4.1',plain,[-(aDivisorOf0(sz00, sz00))],lemmata('[1].x')).
% 2.11/2.41 ncf('1.2.3',plain,[-(sz00 = sz00)],extension(2 ^ 4,bind([[_53595], [sz00]]))).
% 2.11/2.41 ncf('1.3',plain,[-(xq = sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), 277 : aInteger0(sz00), 277 : sdtasdt0(xq, sz00) = sz00],extension(267 ^ 5,bind([[_62158, _62425], [xq, sz00]]))).
% 2.11/2.41 ncf('1.3.1',plain,[aDivisorOf0(xq, sz00), -(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa)))), xq = xq, sz00 = sdtpldt0(xa, smndt0(xa))],extension(20 ^ 6,bind([[_54247, _54249, _54251, _54253], [sdtpldt0(xa, smndt0(xa)), sz00, xq, xq]]))).
% 2.11/2.41 ncf('1.3.1.1',plain,[aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa))), -(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa)))), xq = xq, sdtpldt0(xa, smndt0(xa)) = sdtpldt0(xa, smndt0(xa))],extension(20 ^ 7,bind([[_54247, _54249, _54251, _54253], [sdtpldt0(xa, smndt0(xa)), sdtpldt0(xa, smndt0(xa)), xq, xq]]))).
% 2.11/2.41 ncf('1.3.1.1.1',plain,[aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa))), -(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa)))), xq = xq, sdtpldt0(xa, smndt0(xa)) = sdtpldt0(xa, smndt0(xa))],extension(20 ^ 8,bind([[_54247, _54249, _54251, _54253], [sdtpldt0(xa, smndt0(xa)), sdtpldt0(xa, smndt0(xa)), xq, xq]]))).
% 2.11/2.41 ncf('1.3.1.1.1.1',plain,[aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa))), 307 : -(sdteqdtlpzmzozddtrp0(xa, xa, xq)), 307 : aInteger0(xa), 307 : aInteger0(xa), 307 : aInteger0(xq), 307 : -(xq = sz00)],extension(285 ^ 9,bind([[_62728, _62730, _62732], [xq, xa, xa]]))).
% 2.11/2.41 ncf('1.3.1.1.1.1.1',plain,[sdteqdtlpzmzozddtrp0(xa, xa, xq)],extension(319 ^ 12)).
% 2.11/2.41 ncf('1.3.1.1.1.1.2',plain,[-(aInteger0(xa))],extension(313 ^ 10)).
% 2.11/2.41 ncf('1.3.1.1.1.1.3',plain,[-(aInteger0(xa))],lemmata('[1, 1, 1, 3, 1].x')).
% 2.11/2.41 ncf('1.3.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(315 ^ 10)).
% 2.11/2.41 ncf('1.3.1.1.1.1.5',plain,[xq = sz00],reduction('1')).
% 2.11/2.41 ncf('1.3.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 9,bind([[_53595], [xq]]))).
% 2.11/2.41 ncf('1.3.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xa)) = sdtpldt0(xa, smndt0(xa)))],extension(2 ^ 9,bind([[_53595], [sdtpldt0(xa, smndt0(xa))]]))).
% 2.11/2.41 ncf('1.3.1.1.2',plain,[-(xq = xq)],extension(2 ^ 8,bind([[_53595], [xq]]))).
% 2.11/2.41 ncf('1.3.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xa)) = sdtpldt0(xa, smndt0(xa))), xa = xa, smndt0(xa) = smndt0(xa)],extension(72 ^ 8,bind([[_55944, _55946, _55948, _55950], [smndt0(xa), smndt0(xa), xa, xa]]))).
% 2.11/2.41 ncf('1.3.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 9,bind([[_53595], [xa]]))).
% 2.11/2.41 ncf('1.3.1.1.3.2',plain,[-(smndt0(xa) = smndt0(xa))],extension(2 ^ 9,bind([[_53595], [smndt0(xa)]]))).
% 2.11/2.41 ncf('1.3.1.2',plain,[-(xq = xq)],extension(2 ^ 7,bind([[_53595], [xq]]))).
% 2.11/2.41 ncf('1.3.1.3',plain,[-(sz00 = sdtpldt0(xa, smndt0(xa))), sdtpldt0(xa, smndt0(xa)) = sz00],extension(4 ^ 7,bind([[_53702, _53704], [sz00, sdtpldt0(xa, smndt0(xa))]]))).
% 2.11/2.41 ncf('1.3.1.3.1',plain,[-(sdtpldt0(xa, smndt0(xa)) = sz00), aInteger0(xa)],extension(160 ^ 8,bind([[_58632], [xa]]))).
% 2.11/2.41 ncf('1.3.1.3.1.1',plain,[-(aInteger0(xa))],extension(313 ^ 9)).
% 2.11/2.41 ncf('1.3.2',plain,[-(aInteger0(xq))],extension(315 ^ 6)).
% 2.11/2.41 ncf('1.3.3',plain,[-(aInteger0(sz00))],extension(98 ^ 8)).
% 2.11/2.41 ncf('1.3.4',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 8,bind([[_60474], [xq]]))).
% 2.11/2.41 ncf('1.3.4.1',plain,[-(aInteger0(xq))],lemmata('[1].x')).
% 2.11/2.41 %-----------------------------------------------------
% 2.11/2.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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