TSTP Solution File: SYN551+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SYN551+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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 12:34:16 EDT 2023
% Result : Theorem 0.31s 1.35s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN551+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.10 % Command : nanocop.sh %s %d
% 0.09/0.31 % Computer : n007.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Thu May 18 19:27:22 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.31/1.35
% 0.31/1.35 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.35 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.35 %-----------------------------------------------------
% 0.31/1.35 ncf(matrix, plain, [(32 ^ _19695) ^ [] : [34 ^ _19695 : [(47 ^ _19695) ^ [] : [48 ^ _19695 : [(49 ^ _19695) ^ [_21275] : [_21275 = g(f(_21275))]], 52 ^ _19695 : [(53 ^ _19695) ^ [] : [-(50 ^ [] = g(f(50 ^ [])))], (55 ^ _19695) ^ [] : [-(51 ^ [] = g(f(51 ^ [])))], (57 ^ _19695) ^ [] : [50 ^ [] = 51 ^ []]]], (35 ^ _19695) ^ [] : [-(33 ^ [] = f(g(33 ^ [])))], (37 ^ _19695) ^ [_20978, _20980] : [-(_20980 = _20978), _20980 = f(g(_20980)), _20978 = f(g(_20978))]], 59 ^ _19695 : [(72 ^ _19695) ^ [] : [73 ^ _19695 : [(74 ^ _19695) ^ [_22041] : [_22041 = f(g(_22041))]], 77 ^ _19695 : [(78 ^ _19695) ^ [] : [-(75 ^ [] = f(g(75 ^ [])))], (80 ^ _19695) ^ [] : [-(76 ^ [] = f(g(76 ^ [])))], (82 ^ _19695) ^ [] : [75 ^ [] = 76 ^ []]]], (60 ^ _19695) ^ [] : [-(58 ^ [] = g(f(58 ^ [])))], (62 ^ _19695) ^ [_21744, _21746] : [-(_21746 = _21744), _21746 = g(f(_21746)), _21744 = g(f(_21744))]]], (20 ^ _19695) ^ [_20423, _20425] : [_20425 = _20423, -(g(_20425) = g(_20423))], (26 ^ _19695) ^ [_20621, _20623] : [_20623 = _20621, -(f(_20623) = f(_20621))], (2 ^ _19695) ^ [_19799] : [-(_19799 = _19799)], (4 ^ _19695) ^ [_19906, _19908] : [_19908 = _19906, -(_19906 = _19908)], (10 ^ _19695) ^ [_20110, _20112, _20114] : [-(_20114 = _20110), _20114 = _20112, _20112 = _20110]], input).
% 0.31/1.35 ncf('1',plain,[49 : g(33 ^ []) = g(f(g(33 ^ []))), 57 : 50 ^ [] = 51 ^ [], 74 : f(58 ^ []) = f(g(f(58 ^ []))), 82 : 75 ^ [] = 76 ^ []],start(32 ^ 0,bind([[_21275, _22041], [g(33 ^ []), f(58 ^ [])]]))).
% 0.31/1.35 ncf('1.1',plain,[-(g(33 ^ []) = g(f(g(33 ^ [])))), 33 ^ [] = f(g(33 ^ []))],extension(20 ^ 5,bind([[_20423, _20425], [f(g(33 ^ [])), 33 ^ []]]))).
% 0.31/1.35 ncf('1.1.1',plain,[-(33 ^ [] = f(g(33 ^ [])))],extension(35 ^ 6)).
% 0.31/1.35 ncf('1.2',plain,[-(50 ^ [] = 51 ^ []), 50 ^ [] = g(f(50 ^ [])), g(f(50 ^ [])) = 51 ^ []],extension(10 ^ 5,bind([[_20110, _20112, _20114], [51 ^ [], g(f(50 ^ [])), 50 ^ []]]))).
% 0.31/1.35 ncf('1.2.1',plain,[-(50 ^ [] = g(f(50 ^ [])))],extension(53 ^ 6)).
% 0.31/1.35 ncf('1.2.2',plain,[-(g(f(50 ^ [])) = 51 ^ []), 51 ^ [] = g(f(50 ^ []))],extension(4 ^ 6,bind([[_19906, _19908], [g(f(50 ^ [])), 51 ^ []]]))).
% 0.31/1.35 ncf('1.2.2.1',plain,[-(51 ^ [] = g(f(50 ^ []))), 51 ^ [] = g(f(51 ^ [])), g(f(51 ^ [])) = g(f(50 ^ []))],extension(10 ^ 7,bind([[_20110, _20112, _20114], [g(f(50 ^ [])), g(f(51 ^ [])), 51 ^ []]]))).
% 0.31/1.35 ncf('1.2.2.1.1',plain,[-(51 ^ [] = g(f(51 ^ [])))],extension(55 ^ 8)).
% 0.31/1.35 ncf('1.2.2.1.2',plain,[-(g(f(51 ^ [])) = g(f(50 ^ []))), f(51 ^ []) = f(50 ^ [])],extension(20 ^ 8,bind([[_20423, _20425], [f(50 ^ []), f(51 ^ [])]]))).
% 0.31/1.35 ncf('1.2.2.1.2.1',plain,[-(f(51 ^ []) = f(50 ^ [])), f(51 ^ []) = f(g(f(51 ^ []))), f(50 ^ []) = f(g(f(50 ^ [])))],extension(37 ^ 9,bind([[_20978, _20980], [f(50 ^ []), f(51 ^ [])]]))).
% 0.31/1.35 ncf('1.2.2.1.2.1.1',plain,[-(f(51 ^ []) = f(g(f(51 ^ [])))), 51 ^ [] = g(f(51 ^ []))],extension(26 ^ 10,bind([[_20621, _20623], [g(f(51 ^ [])), 51 ^ []]]))).
% 0.31/1.35 ncf('1.2.2.1.2.1.1.1',plain,[-(51 ^ [] = g(f(51 ^ [])))],lemmata('[2, 2, 1].x')).
% 0.31/1.35 ncf('1.2.2.1.2.1.2',plain,[-(f(50 ^ []) = f(g(f(50 ^ [])))), 50 ^ [] = g(f(50 ^ []))],extension(26 ^ 10,bind([[_20621, _20623], [g(f(50 ^ [])), 50 ^ []]]))).
% 0.31/1.35 ncf('1.2.2.1.2.1.2.1',plain,[-(50 ^ [] = g(f(50 ^ [])))],lemmata('[1].x')).
% 0.31/1.35 ncf('1.3',plain,[-(f(58 ^ []) = f(g(f(58 ^ [])))), 58 ^ [] = g(f(58 ^ []))],extension(26 ^ 5,bind([[_20621, _20623], [g(f(58 ^ [])), 58 ^ []]]))).
% 0.31/1.35 ncf('1.3.1',plain,[-(58 ^ [] = g(f(58 ^ [])))],extension(60 ^ 6)).
% 0.31/1.35 ncf('1.4',plain,[-(75 ^ [] = 76 ^ []), 75 ^ [] = f(g(75 ^ [])), f(g(75 ^ [])) = 76 ^ []],extension(10 ^ 5,bind([[_20110, _20112, _20114], [76 ^ [], f(g(75 ^ [])), 75 ^ []]]))).
% 0.31/1.35 ncf('1.4.1',plain,[-(75 ^ [] = f(g(75 ^ [])))],extension(78 ^ 6)).
% 0.31/1.35 ncf('1.4.2',plain,[-(f(g(75 ^ [])) = 76 ^ []), 76 ^ [] = f(g(75 ^ []))],extension(4 ^ 6,bind([[_19906, _19908], [f(g(75 ^ [])), 76 ^ []]]))).
% 0.31/1.35 ncf('1.4.2.1',plain,[-(76 ^ [] = f(g(75 ^ []))), 76 ^ [] = f(g(76 ^ [])), f(g(76 ^ [])) = f(g(75 ^ []))],extension(10 ^ 7,bind([[_20110, _20112, _20114], [f(g(75 ^ [])), f(g(76 ^ [])), 76 ^ []]]))).
% 0.31/1.35 ncf('1.4.2.1.1',plain,[-(76 ^ [] = f(g(76 ^ [])))],extension(80 ^ 8)).
% 0.31/1.35 ncf('1.4.2.1.2',plain,[-(f(g(76 ^ [])) = f(g(75 ^ []))), g(76 ^ []) = g(75 ^ [])],extension(26 ^ 8,bind([[_20621, _20623], [g(75 ^ []), g(76 ^ [])]]))).
% 0.31/1.35 ncf('1.4.2.1.2.1',plain,[-(g(76 ^ []) = g(75 ^ [])), g(76 ^ []) = g(f(g(76 ^ []))), g(75 ^ []) = g(f(g(75 ^ [])))],extension(62 ^ 9,bind([[_21744, _21746], [g(75 ^ []), g(76 ^ [])]]))).
% 0.31/1.35 ncf('1.4.2.1.2.1.1',plain,[-(g(76 ^ []) = g(f(g(76 ^ [])))), 76 ^ [] = f(g(76 ^ []))],extension(20 ^ 10,bind([[_20423, _20425], [f(g(76 ^ [])), 76 ^ []]]))).
% 0.31/1.35 ncf('1.4.2.1.2.1.1.1',plain,[-(76 ^ [] = f(g(76 ^ [])))],lemmata('[2, 4, 1].x')).
% 0.31/1.35 ncf('1.4.2.1.2.1.2',plain,[-(g(75 ^ []) = g(f(g(75 ^ [])))), 75 ^ [] = f(g(75 ^ []))],extension(20 ^ 10,bind([[_20423, _20425], [f(g(75 ^ [])), 75 ^ []]]))).
% 0.31/1.35 ncf('1.4.2.1.2.1.2.1',plain,[-(75 ^ [] = f(g(75 ^ [])))],lemmata('[1].x')).
% 0.31/1.35 %-----------------------------------------------------
% 0.31/1.35 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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