TSTP Solution File: SYN551+3 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : SYN551+3 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 0.47s 1.39s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN551+3 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 19:52:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.47/1.39
% 0.47/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.47/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.39 %-----------------------------------------------------
% 0.47/1.39 ncf(matrix, plain, [(32 ^ _14994) ^ [] : [34 ^ _14994 : [(35 ^ _14994) ^ [] : [-(33 ^ [] = f(g(33 ^ [])))], (37 ^ _14994) ^ [_16284] : [_16284 = f(g(_16284)), -(_16284 = 33 ^ [])], (43 ^ _14994) ^ [_16464] : [_16464 = g(f(_16464)), 47 ^ _14994 : [(48 ^ _14994) ^ [] : [-(46 ^ [_16464] = g(f(46 ^ [_16464])))], (50 ^ _14994) ^ [] : [46 ^ [_16464] = _16464]]]], 52 ^ _14994 : [(53 ^ _14994) ^ [] : [-(51 ^ [] = g(f(51 ^ [])))], (55 ^ _14994) ^ [_16932] : [_16932 = g(f(_16932)), -(_16932 = 51 ^ [])], (61 ^ _14994) ^ [_17112] : [_17112 = f(g(_17112)), 65 ^ _14994 : [(66 ^ _14994) ^ [] : [-(64 ^ [_17112] = f(g(64 ^ [_17112])))], (68 ^ _14994) ^ [] : [64 ^ [_17112] = _17112]]]]], (20 ^ _14994) ^ [_15722, _15724] : [_15724 = _15722, -(g(_15724) = g(_15722))], (26 ^ _14994) ^ [_15920, _15922] : [_15922 = _15920, -(f(_15922) = f(_15920))], (2 ^ _14994) ^ [_15098] : [-(_15098 = _15098)], (4 ^ _14994) ^ [_15205, _15207] : [_15207 = _15205, -(_15205 = _15207)], (10 ^ _14994) ^ [_15409, _15411, _15413] : [-(_15413 = _15409), _15413 = _15411, _15411 = _15409]], input).
% 0.47/1.39 ncf('1',plain,[43 : g(33 ^ []) = g(f(g(33 ^ []))), 50 : 46 ^ [g(33 ^ [])] = g(33 ^ []), 61 : f(51 ^ []) = f(g(f(51 ^ []))), 68 : 64 ^ [f(51 ^ [])] = f(51 ^ [])],start(32 ^ 0,bind([[_16464, _17112], [g(33 ^ []), f(51 ^ [])]]))).
% 0.47/1.39 ncf('1.1',plain,[-(g(33 ^ []) = g(f(g(33 ^ [])))), 33 ^ [] = f(g(33 ^ []))],extension(20 ^ 3,bind([[_15722, _15724], [f(g(33 ^ [])), 33 ^ []]]))).
% 0.47/1.39 ncf('1.1.1',plain,[-(33 ^ [] = f(g(33 ^ [])))],extension(35 ^ 4)).
% 0.47/1.39 ncf('1.2',plain,[-(46 ^ [g(33 ^ [])] = g(33 ^ [])), 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])), g(f(46 ^ [g(33 ^ [])])) = g(33 ^ [])],extension(10 ^ 5,bind([[_15409, _15411, _15413], [g(33 ^ []), g(f(46 ^ [g(33 ^ [])])), 46 ^ [g(33 ^ [])]]]))).
% 0.47/1.39 ncf('1.2.1',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])))],extension(48 ^ 6)).
% 0.47/1.39 ncf('1.2.2',plain,[-(g(f(46 ^ [g(33 ^ [])])) = g(33 ^ [])), f(46 ^ [g(33 ^ [])]) = 33 ^ []],extension(20 ^ 6,bind([[_15722, _15724], [33 ^ [], f(46 ^ [g(33 ^ [])])]]))).
% 0.47/1.39 ncf('1.2.2.1',plain,[-(f(46 ^ [g(33 ^ [])]) = 33 ^ []), f(46 ^ [g(33 ^ [])]) = f(g(f(46 ^ [g(33 ^ [])])))],extension(37 ^ 7,bind([[_16284], [f(46 ^ [g(33 ^ [])])]]))).
% 0.47/1.39 ncf('1.2.2.1.1',plain,[-(f(46 ^ [g(33 ^ [])]) = f(g(f(46 ^ [g(33 ^ [])])))), 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])]))],extension(26 ^ 8,bind([[_15920, _15922], [g(f(46 ^ [g(33 ^ [])])), 46 ^ [g(33 ^ [])]]]))).
% 0.47/1.39 ncf('1.2.2.1.1.1',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])))],lemmata('[1].x')).
% 0.47/1.39 ncf('1.3',plain,[-(f(51 ^ []) = f(g(f(51 ^ [])))), 51 ^ [] = g(f(51 ^ []))],extension(26 ^ 3,bind([[_15920, _15922], [g(f(51 ^ [])), 51 ^ []]]))).
% 0.47/1.39 ncf('1.3.1',plain,[-(51 ^ [] = g(f(51 ^ [])))],extension(53 ^ 4)).
% 0.47/1.39 ncf('1.4',plain,[-(64 ^ [f(51 ^ [])] = f(51 ^ [])), 64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])])), f(g(64 ^ [f(51 ^ [])])) = f(51 ^ [])],extension(10 ^ 5,bind([[_15409, _15411, _15413], [f(51 ^ []), f(g(64 ^ [f(51 ^ [])])), 64 ^ [f(51 ^ [])]]]))).
% 0.47/1.39 ncf('1.4.1',plain,[-(64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])])))],extension(66 ^ 6)).
% 0.47/1.39 ncf('1.4.2',plain,[-(f(g(64 ^ [f(51 ^ [])])) = f(51 ^ [])), g(64 ^ [f(51 ^ [])]) = 51 ^ []],extension(26 ^ 6,bind([[_15920, _15922], [51 ^ [], g(64 ^ [f(51 ^ [])])]]))).
% 0.47/1.39 ncf('1.4.2.1',plain,[-(g(64 ^ [f(51 ^ [])]) = 51 ^ []), g(64 ^ [f(51 ^ [])]) = g(f(g(64 ^ [f(51 ^ [])])))],extension(55 ^ 7,bind([[_16932], [g(64 ^ [f(51 ^ [])])]]))).
% 0.47/1.39 ncf('1.4.2.1.1',plain,[-(g(64 ^ [f(51 ^ [])]) = g(f(g(64 ^ [f(51 ^ [])])))), 64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])]))],extension(20 ^ 8,bind([[_15722, _15724], [f(g(64 ^ [f(51 ^ [])])), 64 ^ [f(51 ^ [])]]]))).
% 0.47/1.39 ncf('1.4.2.1.1.1',plain,[-(64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])])))],lemmata('[1].x')).
% 0.47/1.39 %-----------------------------------------------------
% 0.47/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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