TSTP Solution File: NUM423+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 2.17s 2.39s
% Output : Proof 2.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n010.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 16:41:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 2.17/2.39
% 2.17/2.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 2.17/2.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.17/2.39 %-----------------------------------------------------
% 2.17/2.39 ncf(matrix, plain, [(325 ^ _53499) ^ [] : [aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa)))], (327 ^ _53499) ^ [] : [sdteqdtlpzmzozddtrp0(xa, xa, xq)], (319 ^ _53499) ^ [_63778] : [aInteger0(_63778), sdtasdt0(xq, _63778) = sdtpldt0(xa, smndt0(xa))], (62 ^ _53499) ^ [_55633, _55635, _55637, _55639] : [-(sdtasdt0(_55639, _55635) = sdtasdt0(_55637, _55633)), _55639 = _55637, _55635 = _55633], (82 ^ _53499) ^ [_56303, _56305] : [_56305 = _56303, -(smndt0(_56305) = smndt0(_56303))], (72 ^ _53499) ^ [_55992, _55994, _55996, _55998] : [-(sdtpldt0(_55998, _55994) = sdtpldt0(_55996, _55992)), _55998 = _55996, _55994 = _55992], (2 ^ _53499) ^ [_53643] : [-(_53643 = _53643)], (4 ^ _53499) ^ [_53750, _53752] : [_53752 = _53750, -(_53750 = _53752)], (10 ^ _53499) ^ [_53954, _53956, _53958] : [-(_53958 = _53954), _53958 = _53956, _53956 = _53954], (20 ^ _53499) ^ [_54267, _54269] : [-(aInteger0(_54267)), _54269 = _54267, aInteger0(_54269)], (30 ^ _53499) ^ [_54590, _54592, _54594, _54596] : [-(aDivisorOf0(_54594, _54590)), aDivisorOf0(_54596, _54592), _54596 = _54594, _54592 = _54590], (44 ^ _53499) ^ [_55042, _55044, _55046, _55048, _55050, _55052] : [-(sdteqdtlpzmzozddtrp0(_55050, _55046, _55042)), sdteqdtlpzmzozddtrp0(_55052, _55048, _55044), _55052 = _55050, _55048 = _55046, _55044 = _55042], (88 ^ _53499) ^ [_56517] : [aInteger0(_56517), true___, -(true___)], (98 ^ _53499) ^ [] : [-(aInteger0(sz00))], (100 ^ _53499) ^ [] : [-(aInteger0(sz10))], (102 ^ _53499) ^ [_56878] : [aInteger0(_56878), -(aInteger0(smndt0(_56878)))], (108 ^ _53499) ^ [_57082, _57084] : [-(aInteger0(sdtpldt0(_57084, _57082))), aInteger0(_57084), aInteger0(_57082)], (118 ^ _53499) ^ [_57381, _57383] : [-(aInteger0(sdtasdt0(_57383, _57381))), aInteger0(_57383), aInteger0(_57381)], (128 ^ _53499) ^ [_57694, _57696, _57698] : [-(sdtpldt0(_57698, sdtpldt0(_57696, _57694)) = sdtpldt0(sdtpldt0(_57698, _57696), _57694)), aInteger0(_57698), aInteger0(_57696), aInteger0(_57694)], (142 ^ _53499) ^ [_58114, _58116] : [-(sdtpldt0(_58116, _58114) = sdtpldt0(_58114, _58116)), aInteger0(_58116), aInteger0(_58114)], (152 ^ _53499) ^ [_58407] : [aInteger0(_58407), 155 ^ _53499 : [(156 ^ _53499) ^ [] : [-(sdtpldt0(_58407, sz00) = _58407)], (158 ^ _53499) ^ [] : [-(_58407 = sdtpldt0(sz00, _58407))]]], (160 ^ _53499) ^ [_58680] : [aInteger0(_58680), 163 ^ _53499 : [(164 ^ _53499) ^ [] : [-(sdtpldt0(_58680, smndt0(_58680)) = sz00)], (166 ^ _53499) ^ [] : [-(sz00 = sdtpldt0(smndt0(_58680), _58680))]]], (168 ^ _53499) ^ [_58989, _58991, _58993] : [-(sdtasdt0(_58993, sdtasdt0(_58991, _58989)) = sdtasdt0(sdtasdt0(_58993, _58991), _58989)), aInteger0(_58993), aInteger0(_58991), aInteger0(_58989)], (182 ^ _53499) ^ [_59409, _59411] : [-(sdtasdt0(_59411, _59409) = sdtasdt0(_59409, _59411)), aInteger0(_59411), aInteger0(_59409)], (192 ^ _53499) ^ [_59702] : [aInteger0(_59702), 195 ^ _53499 : [(196 ^ _53499) ^ [] : [-(sdtasdt0(_59702, sz10) = _59702)], (198 ^ _53499) ^ [] : [-(_59702 = sdtasdt0(sz10, _59702))]]], (200 ^ _53499) ^ [_60003, _60005, _60007] : [211 ^ _53499 : [(212 ^ _53499) ^ [] : [-(sdtasdt0(_60007, sdtpldt0(_60005, _60003)) = sdtpldt0(sdtasdt0(_60007, _60005), sdtasdt0(_60007, _60003)))], (214 ^ _53499) ^ [] : [-(sdtasdt0(sdtpldt0(_60007, _60005), _60003) = sdtpldt0(sdtasdt0(_60007, _60003), sdtasdt0(_60005, _60003)))]], aInteger0(_60007), aInteger0(_60005), aInteger0(_60003)], (216 ^ _53499) ^ [_60522] : [aInteger0(_60522), 219 ^ _53499 : [(220 ^ _53499) ^ [] : [-(sdtasdt0(_60522, sz00) = sz00)], (222 ^ _53499) ^ [] : [-(sz00 = sdtasdt0(sz00, _60522))]]], (224 ^ _53499) ^ [_60795] : [aInteger0(_60795), 227 ^ _53499 : [(228 ^ _53499) ^ [] : [-(sdtasdt0(smndt0(sz10), _60795) = smndt0(_60795))], (230 ^ _53499) ^ [] : [-(smndt0(_60795) = sdtasdt0(_60795, smndt0(sz10)))]]], (232 ^ _53499) ^ [_61090, _61092] : [aInteger0(_61092), aInteger0(_61090), sdtasdt0(_61092, _61090) = sz00, -(_61092 = sz00), -(_61090 = sz00)], (313 ^ _53499) ^ [] : [-(aInteger0(xa))], (315 ^ _53499) ^ [] : [-(aInteger0(xq))], (317 ^ _53499) ^ [] : [xq = sz00], (285 ^ _53499) ^ [_62776, _62778, _62780] : [aInteger0(_62780), aInteger0(_62778), aInteger0(_62776), -(_62776 = sz00), 300 ^ _53499 : [(301 ^ _53499) ^ [] : [sdteqdtlpzmzozddtrp0(_62780, _62778, _62776), -(aDivisorOf0(_62776, sdtpldt0(_62780, smndt0(_62778))))], (307 ^ _53499) ^ [] : [aDivisorOf0(_62776, sdtpldt0(_62780, smndt0(_62778))), -(sdteqdtlpzmzozddtrp0(_62780, _62778, _62776))]]], (250 ^ _53499) ^ [_61558] : [aInteger0(_61558), 253 ^ _53499 : [(254 ^ _53499) ^ [_61744] : [aDivisorOf0(_61744, _61558), 257 ^ _53499 : [(258 ^ _53499) ^ [] : [-(aInteger0(_61744))], (260 ^ _53499) ^ [] : [_61744 = sz00], (263 ^ _53499) ^ [] : [-(aInteger0(261 ^ [_61558, _61744]))], (265 ^ _53499) ^ [] : [-(sdtasdt0(_61744, 261 ^ [_61558, _61744]) = _61558)]]], (267 ^ _53499) ^ [_62206] : [-(aDivisorOf0(_62206, _61558)), aInteger0(_62206), -(_62206 = sz00), 276 ^ _53499 : [(277 ^ _53499) ^ [_62473] : [aInteger0(_62473), sdtasdt0(_62206, _62473) = _61558]]]]]], input).
% 2.17/2.39 ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(xq, sz00), 260 : xq = sz00],start(250 ^ 0,bind([[_61558, _61744], [sz00, xq]]))).
% 2.17/2.39 ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 2.17/2.39 ncf('1.2',plain,[-(aDivisorOf0(xq, sz00)), aDivisorOf0(sz00, sz00), sz00 = xq, sz00 = sz00],extension(30 ^ 3,bind([[_54590, _54592, _54594, _54596], [sz00, sz00, xq, sz00]]))).
% 2.17/2.39 ncf('1.2.1',plain,[-(aDivisorOf0(sz00, sz00)), aInteger0(sz00), -(sz00 = sz00), 277 : aInteger0(sz00), 277 : sdtasdt0(sz00, sz00) = sz00],extension(267 ^ 4,bind([[_62206, _62473], [sz00, sz00]]))).
% 2.17/2.39 ncf('1.2.1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 5)).
% 2.17/2.39 ncf('1.2.1.2',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 5,bind([[_53954, _53956, _53958], [sz00, sz00, xq]]))).
% 2.17/2.39 ncf('1.2.1.2.1',plain,[xq = sz00],extension(317 ^ 6)).
% 2.17/2.39 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([[_62206, _62473], [xq, sz00]]))).
% 2.17/2.39 ncf('1.2.1.2.2.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 2.17/2.39 ncf('1.2.1.2.2.2',plain,[-(aInteger0(xq))],extension(315 ^ 7)).
% 2.17/2.39 ncf('1.2.1.2.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 9)).
% 2.17/2.39 ncf('1.2.1.2.2.4',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 9,bind([[_60522], [xq]]))).
% 2.17/2.39 ncf('1.2.1.2.2.4.1',plain,[-(aInteger0(xq))],lemmata('[2, 1, 2, 1].x')).
% 2.17/2.39 ncf('1.2.1.3',plain,[-(aInteger0(sz00))],extension(98 ^ 7)).
% 2.17/2.39 ncf('1.2.1.4',plain,[-(sdtasdt0(sz00, sz00) = sz00), sz00 = sdtasdt0(sz00, sz00)],extension(4 ^ 7,bind([[_53750, _53752], [sdtasdt0(sz00, sz00), sz00]]))).
% 2.17/2.39 ncf('1.2.1.4.1',plain,[-(sz00 = sdtasdt0(sz00, sz00)), aInteger0(sz00)],extension(216 ^ 8,bind([[_60522], [sz00]]))).
% 2.17/2.39 ncf('1.2.1.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 2.17/2.39 ncf('1.2.2',plain,[-(sz00 = xq), xq = sz00],extension(4 ^ 4,bind([[_53750, _53752], [sz00, xq]]))).
% 2.17/2.39 ncf('1.2.2.1',plain,[-(xq = sz00), aInteger0(xq), aInteger0(sz00), sdtasdt0(xq, sz00) = sz00, -(sz00 = sz00)],extension(232 ^ 5,bind([[_61090, _61092], [sz00, xq]]))).
% 2.17/2.39 ncf('1.2.2.1.1',plain,[-(aInteger0(xq))],extension(315 ^ 6)).
% 2.17/2.39 ncf('1.2.2.1.2',plain,[-(aInteger0(sz00))],extension(98 ^ 6)).
% 2.17/2.39 ncf('1.2.2.1.3',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 6,bind([[_60522], [xq]]))).
% 2.17/2.39 ncf('1.2.2.1.3.1',plain,[-(aInteger0(xq))],lemmata('[2, 2, 1].x')).
% 2.17/2.39 ncf('1.2.2.1.4',plain,[sz00 = sz00, aDivisorOf0(sz00, sz00)],extension(254 ^ 6,bind([[_61744], [sz00]]))).
% 2.17/2.39 ncf('1.2.2.1.4.1',plain,[-(aDivisorOf0(sz00, sz00))],lemmata('[1].x')).
% 2.17/2.39 ncf('1.2.3',plain,[-(sz00 = sz00)],extension(2 ^ 4,bind([[_53643], [sz00]]))).
% 2.17/2.39 ncf('1.3',plain,[-(xq = sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), 277 : aInteger0(sz00), 277 : sdtasdt0(xq, sz00) = sz00],extension(267 ^ 5,bind([[_62206, _62473], [xq, sz00]]))).
% 2.17/2.39 ncf('1.3.1',plain,[aDivisorOf0(xq, sz00), -(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa)))), xq = xq, sz00 = sdtpldt0(xa, smndt0(xa))],extension(30 ^ 6,bind([[_54590, _54592, _54594, _54596], [sdtpldt0(xa, smndt0(xa)), sz00, xq, xq]]))).
% 2.17/2.39 ncf('1.3.1.1',plain,[aDivisorOf0(xq, sdtpldt0(xa, smndt0(xa)))],extension(325 ^ 7)).
% 2.17/2.39 ncf('1.3.1.2',plain,[-(xq = xq)],extension(2 ^ 7,bind([[_53643], [xq]]))).
% 2.17/2.39 ncf('1.3.1.3',plain,[-(sz00 = sdtpldt0(xa, smndt0(xa))), sdtpldt0(xa, smndt0(xa)) = sz00],extension(4 ^ 7,bind([[_53750, _53752], [sz00, sdtpldt0(xa, smndt0(xa))]]))).
% 2.17/2.39 ncf('1.3.1.3.1',plain,[-(sdtpldt0(xa, smndt0(xa)) = sz00), aInteger0(xa)],extension(160 ^ 8,bind([[_58680], [xa]]))).
% 2.17/2.39 ncf('1.3.1.3.1.1',plain,[-(aInteger0(xa))],extension(313 ^ 9)).
% 2.17/2.39 ncf('1.3.2',plain,[-(aInteger0(xq))],extension(315 ^ 6)).
% 2.17/2.39 ncf('1.3.3',plain,[-(aInteger0(sz00))],extension(98 ^ 8)).
% 2.17/2.39 ncf('1.3.4',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 8,bind([[_60522], [xq]]))).
% 2.17/2.39 ncf('1.3.4.1',plain,[-(aInteger0(xq))],lemmata('[1].x')).
% 2.17/2.39 %-----------------------------------------------------
% 2.17/2.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------