TSTP Solution File: SYN551+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SYN551+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 12:34:17 EDT 2023
% Result : Theorem 0.90s 1.40s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN551+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:22:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.90/1.40
% 0.90/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.90/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.40 %-----------------------------------------------------
% 0.90/1.40 ncf(matrix, plain, [(32 ^ _22569) ^ [] : [34 ^ _22569 : [(48 ^ _22569) ^ [_24227] : [49 ^ _22569 : [(50 ^ _22569) ^ [] : [-(46 ^ [_24227] = g(f(46 ^ [_24227])))], (52 ^ _22569) ^ [] : [_24227 = 46 ^ [_24227]]], 53 ^ _22569 : [(54 ^ _22569) ^ [] : [-(_24227 = 46 ^ [_24227])], (56 ^ _22569) ^ [] : [46 ^ [_24227] = g(f(46 ^ [_24227]))]]], (35 ^ _22569) ^ [_23825] : [_23825 = f(g(_23825)), -(33 ^ [] = _23825)], (41 ^ _22569) ^ [_23989] : [33 ^ [] = _23989, -(_23989 = f(g(_23989)))]], 58 ^ _22569 : [(72 ^ _22569) ^ [_25123] : [73 ^ _22569 : [(74 ^ _22569) ^ [] : [-(70 ^ [_25123] = f(g(70 ^ [_25123])))], (76 ^ _22569) ^ [] : [_25123 = 70 ^ [_25123]]], 77 ^ _22569 : [(78 ^ _22569) ^ [] : [-(_25123 = 70 ^ [_25123])], (80 ^ _22569) ^ [] : [70 ^ [_25123] = f(g(70 ^ [_25123]))]]], (59 ^ _22569) ^ [_24721] : [_24721 = g(f(_24721)), -(57 ^ [] = _24721)], (65 ^ _22569) ^ [_24885] : [57 ^ [] = _24885, -(_24885 = g(f(_24885)))]]], (20 ^ _22569) ^ [_23297, _23299] : [_23299 = _23297, -(g(_23299) = g(_23297))], (26 ^ _22569) ^ [_23495, _23497] : [_23497 = _23495, -(f(_23497) = f(_23495))], (2 ^ _22569) ^ [_22673] : [-(_22673 = _22673)], (4 ^ _22569) ^ [_22780, _22782] : [_22782 = _22780, -(_22780 = _22782)], (10 ^ _22569) ^ [_22984, _22986, _22988] : [-(_22988 = _22984), _22988 = _22986, _22986 = _22984]], input).
% 0.90/1.40 ncf('1',plain,[52 : g(33 ^ []) = 46 ^ [g(33 ^ [])], 56 : 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])), 76 : f(57 ^ []) = 70 ^ [f(57 ^ [])], 80 : 70 ^ [f(57 ^ [])] = f(g(70 ^ [f(57 ^ [])]))],start(32 ^ 0,bind([[_24227, _25123], [g(33 ^ []), f(57 ^ [])]]))).
% 0.90/1.40 ncf('1.1',plain,[-(g(33 ^ []) = 46 ^ [g(33 ^ [])]), g(33 ^ []) = g(f(46 ^ [g(33 ^ [])])), g(f(46 ^ [g(33 ^ [])])) = 46 ^ [g(33 ^ [])]],extension(10 ^ 5,bind([[_22984, _22986, _22988], [46 ^ [g(33 ^ [])], g(f(46 ^ [g(33 ^ [])])), g(33 ^ [])]]))).
% 0.90/1.40 ncf('1.1.1',plain,[-(g(33 ^ []) = g(f(46 ^ [g(33 ^ [])]))), 33 ^ [] = f(46 ^ [g(33 ^ [])])],extension(20 ^ 6,bind([[_23297, _23299], [f(46 ^ [g(33 ^ [])]), 33 ^ []]]))).
% 0.90/1.40 ncf('1.1.1.1',plain,[-(33 ^ [] = f(46 ^ [g(33 ^ [])])), f(46 ^ [g(33 ^ [])]) = f(g(f(46 ^ [g(33 ^ [])])))],extension(35 ^ 7,bind([[_23825], [f(46 ^ [g(33 ^ [])])]]))).
% 0.90/1.40 ncf('1.1.1.1.1',plain,[-(f(46 ^ [g(33 ^ [])]) = f(g(f(46 ^ [g(33 ^ [])])))), 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])]))],extension(26 ^ 8,bind([[_23495, _23497], [g(f(46 ^ [g(33 ^ [])])), 46 ^ [g(33 ^ [])]]]))).
% 0.90/1.40 ncf('1.1.1.1.1.1',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])))],extension(50 ^ 9)).
% 0.90/1.40 ncf('1.1.2',plain,[-(g(f(46 ^ [g(33 ^ [])])) = 46 ^ [g(33 ^ [])]), 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])]))],extension(4 ^ 6,bind([[_22780, _22782], [g(f(46 ^ [g(33 ^ [])])), 46 ^ [g(33 ^ [])]]]))).
% 0.90/1.40 ncf('1.1.2.1',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])))],extension(50 ^ 7)).
% 0.90/1.40 ncf('1.2',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])]))), 46 ^ [g(33 ^ [])] = g(33 ^ []), g(33 ^ []) = g(f(46 ^ [g(33 ^ [])]))],extension(10 ^ 5,bind([[_22984, _22986, _22988], [g(f(46 ^ [g(33 ^ [])])), g(33 ^ []), 46 ^ [g(33 ^ [])]]]))).
% 0.90/1.40 ncf('1.2.1',plain,[-(46 ^ [g(33 ^ [])] = g(33 ^ [])), g(33 ^ []) = 46 ^ [g(33 ^ [])]],extension(4 ^ 6,bind([[_22780, _22782], [46 ^ [g(33 ^ [])], g(33 ^ [])]]))).
% 0.90/1.40 ncf('1.2.1.1',plain,[-(g(33 ^ []) = 46 ^ [g(33 ^ [])])],extension(54 ^ 7)).
% 0.90/1.40 ncf('1.2.2',plain,[-(g(33 ^ []) = g(f(46 ^ [g(33 ^ [])]))), 33 ^ [] = f(46 ^ [g(33 ^ [])])],extension(20 ^ 6,bind([[_23297, _23299], [f(46 ^ [g(33 ^ [])]), 33 ^ []]]))).
% 0.90/1.40 ncf('1.2.2.1',plain,[-(33 ^ [] = f(46 ^ [g(33 ^ [])])), 33 ^ [] = f(g(33 ^ [])), f(g(33 ^ [])) = f(46 ^ [g(33 ^ [])])],extension(10 ^ 7,bind([[_22984, _22986, _22988], [f(46 ^ [g(33 ^ [])]), f(g(33 ^ [])), 33 ^ []]]))).
% 0.90/1.40 ncf('1.2.2.1.1',plain,[-(33 ^ [] = f(g(33 ^ []))), 33 ^ [] = 33 ^ []],extension(41 ^ 8,bind([[_23989], [33 ^ []]]))).
% 0.90/1.40 ncf('1.2.2.1.1.1',plain,[-(33 ^ [] = 33 ^ [])],extension(2 ^ 9,bind([[_22673], [33 ^ []]]))).
% 0.90/1.40 ncf('1.2.2.1.2',plain,[-(f(g(33 ^ [])) = f(46 ^ [g(33 ^ [])])), g(33 ^ []) = 46 ^ [g(33 ^ [])]],extension(26 ^ 8,bind([[_23495, _23497], [46 ^ [g(33 ^ [])], g(33 ^ [])]]))).
% 0.90/1.40 ncf('1.2.2.1.2.1',plain,[-(g(33 ^ []) = 46 ^ [g(33 ^ [])])],extension(54 ^ 9)).
% 0.90/1.40 ncf('1.3',plain,[-(f(57 ^ []) = 70 ^ [f(57 ^ [])]), f(57 ^ []) = f(g(70 ^ [f(57 ^ [])])), f(g(70 ^ [f(57 ^ [])])) = 70 ^ [f(57 ^ [])]],extension(10 ^ 5,bind([[_22984, _22986, _22988], [70 ^ [f(57 ^ [])], f(g(70 ^ [f(57 ^ [])])), f(57 ^ [])]]))).
% 0.90/1.40 ncf('1.3.1',plain,[-(f(57 ^ []) = f(g(70 ^ [f(57 ^ [])]))), 57 ^ [] = g(70 ^ [f(57 ^ [])])],extension(26 ^ 6,bind([[_23495, _23497], [g(70 ^ [f(57 ^ [])]), 57 ^ []]]))).
% 0.90/1.40 ncf('1.3.1.1',plain,[-(57 ^ [] = g(70 ^ [f(57 ^ [])])), g(70 ^ [f(57 ^ [])]) = g(f(g(70 ^ [f(57 ^ [])])))],extension(59 ^ 7,bind([[_24721], [g(70 ^ [f(57 ^ [])])]]))).
% 0.90/1.40 ncf('1.3.1.1.1',plain,[-(g(70 ^ [f(57 ^ [])]) = g(f(g(70 ^ [f(57 ^ [])])))), 70 ^ [f(57 ^ [])] = f(g(70 ^ [f(57 ^ [])]))],extension(20 ^ 8,bind([[_23297, _23299], [f(g(70 ^ [f(57 ^ [])])), 70 ^ [f(57 ^ [])]]]))).
% 0.90/1.40 ncf('1.3.1.1.1.1',plain,[-(70 ^ [f(57 ^ [])] = f(g(70 ^ [f(57 ^ [])])))],extension(74 ^ 9)).
% 0.90/1.40 ncf('1.3.2',plain,[-(f(g(70 ^ [f(57 ^ [])])) = 70 ^ [f(57 ^ [])]), 70 ^ [f(57 ^ [])] = f(g(70 ^ [f(57 ^ [])]))],extension(4 ^ 6,bind([[_22780, _22782], [f(g(70 ^ [f(57 ^ [])])), 70 ^ [f(57 ^ [])]]]))).
% 0.90/1.40 ncf('1.3.2.1',plain,[-(70 ^ [f(57 ^ [])] = f(g(70 ^ [f(57 ^ [])])))],extension(74 ^ 7)).
% 0.90/1.40 ncf('1.4',plain,[-(70 ^ [f(57 ^ [])] = f(g(70 ^ [f(57 ^ [])]))), 70 ^ [f(57 ^ [])] = f(57 ^ []), f(57 ^ []) = f(g(70 ^ [f(57 ^ [])]))],extension(10 ^ 5,bind([[_22984, _22986, _22988], [f(g(70 ^ [f(57 ^ [])])), f(57 ^ []), 70 ^ [f(57 ^ [])]]]))).
% 0.90/1.40 ncf('1.4.1',plain,[-(70 ^ [f(57 ^ [])] = f(57 ^ [])), f(57 ^ []) = 70 ^ [f(57 ^ [])]],extension(4 ^ 6,bind([[_22780, _22782], [70 ^ [f(57 ^ [])], f(57 ^ [])]]))).
% 0.90/1.40 ncf('1.4.1.1',plain,[-(f(57 ^ []) = 70 ^ [f(57 ^ [])])],extension(78 ^ 7)).
% 0.90/1.40 ncf('1.4.2',plain,[-(f(57 ^ []) = f(g(70 ^ [f(57 ^ [])]))), 57 ^ [] = g(70 ^ [f(57 ^ [])])],extension(26 ^ 6,bind([[_23495, _23497], [g(70 ^ [f(57 ^ [])]), 57 ^ []]]))).
% 0.90/1.40 ncf('1.4.2.1',plain,[-(57 ^ [] = g(70 ^ [f(57 ^ [])])), 57 ^ [] = g(f(57 ^ [])), g(f(57 ^ [])) = g(70 ^ [f(57 ^ [])])],extension(10 ^ 7,bind([[_22984, _22986, _22988], [g(70 ^ [f(57 ^ [])]), g(f(57 ^ [])), 57 ^ []]]))).
% 0.90/1.40 ncf('1.4.2.1.1',plain,[-(57 ^ [] = g(f(57 ^ []))), 57 ^ [] = 57 ^ []],extension(65 ^ 8,bind([[_24885], [57 ^ []]]))).
% 0.90/1.40 ncf('1.4.2.1.1.1',plain,[-(57 ^ [] = 57 ^ [])],extension(2 ^ 9,bind([[_22673], [57 ^ []]]))).
% 0.90/1.40 ncf('1.4.2.1.2',plain,[-(g(f(57 ^ [])) = g(70 ^ [f(57 ^ [])])), f(57 ^ []) = 70 ^ [f(57 ^ [])]],extension(20 ^ 8,bind([[_23297, _23299], [70 ^ [f(57 ^ [])], f(57 ^ [])]]))).
% 0.90/1.40 ncf('1.4.2.1.2.1',plain,[-(f(57 ^ []) = 70 ^ [f(57 ^ [])])],extension(78 ^ 9)).
% 0.90/1.40 %-----------------------------------------------------
% 0.90/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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