TSTP Solution File: SYN417+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 12:33:59 EDT 2023

% Result   : Theorem 7.41s 7.58s
% Output   : Proof 7.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 20:01:04 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 7.41/7.58  
% 7.41/7.58  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 7.41/7.58  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.41/7.58  %-----------------------------------------------------
% 7.41/7.58  ncf(matrix, plain, [(32 ^ _16521) ^ [] : [34 ^ _16521 : [(35 ^ _16521) ^ [] : [-(33 ^ [] = f(g(33 ^ [])))], (37 ^ _16521) ^ [_17811] : [_17811 = f(g(_17811)), -(33 ^ [] = _17811)], (43 ^ _16521) ^ [_17991] : [_17991 = g(f(_17991)), 47 ^ _16521 : [(48 ^ _16521) ^ [] : [-(46 ^ [_17991] = g(f(46 ^ [_17991])))], (50 ^ _16521) ^ [] : [_17991 = 46 ^ [_17991]]]]], 52 ^ _16521 : [(53 ^ _16521) ^ [] : [-(51 ^ [] = g(f(51 ^ [])))], (55 ^ _16521) ^ [_18459] : [_18459 = g(f(_18459)), -(51 ^ [] = _18459)], (61 ^ _16521) ^ [_18639] : [_18639 = f(g(_18639)), 65 ^ _16521 : [(66 ^ _16521) ^ [] : [-(64 ^ [_18639] = f(g(64 ^ [_18639])))], (68 ^ _16521) ^ [] : [_18639 = 64 ^ [_18639]]]]]], (20 ^ _16521) ^ [_17249, _17251] : [_17251 = _17249, -(g(_17251) = g(_17249))], (26 ^ _16521) ^ [_17447, _17449] : [_17449 = _17447, -(f(_17449) = f(_17447))], (2 ^ _16521) ^ [_16625] : [-(_16625 = _16625)], (4 ^ _16521) ^ [_16732, _16734] : [_16734 = _16732, -(_16732 = _16734)], (10 ^ _16521) ^ [_16936, _16938, _16940] : [-(_16940 = _16936), _16940 = _16938, _16938 = _16936]], input).
% 7.41/7.58  ncf('1',plain,[43 : g(33 ^ []) = g(f(g(33 ^ []))), 50 : g(33 ^ []) = 46 ^ [g(33 ^ [])], 61 : f(51 ^ []) = f(g(f(51 ^ []))), 68 : f(51 ^ []) = 64 ^ [f(51 ^ [])]],start(32 ^ 0,bind([[_17991, _18639], [g(33 ^ []), f(51 ^ [])]]))).
% 7.41/7.58  ncf('1.1',plain,[-(g(33 ^ []) = g(f(g(33 ^ [])))), 33 ^ [] = f(g(33 ^ []))],extension(20 ^ 3,bind([[_17249, _17251], [f(g(33 ^ [])), 33 ^ []]]))).
% 7.41/7.58  ncf('1.1.1',plain,[-(33 ^ [] = f(g(33 ^ [])))],extension(35 ^ 4)).
% 7.41/7.58  ncf('1.2',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([[_16936, _16938, _16940], [46 ^ [g(33 ^ [])], g(f(46 ^ [g(33 ^ [])])), g(33 ^ [])]]))).
% 7.41/7.58  ncf('1.2.1',plain,[-(g(33 ^ []) = g(f(46 ^ [g(33 ^ [])]))), 33 ^ [] = f(46 ^ [g(33 ^ [])])],extension(20 ^ 6,bind([[_17249, _17251], [f(46 ^ [g(33 ^ [])]), 33 ^ []]]))).
% 7.41/7.58  ncf('1.2.1.1',plain,[-(33 ^ [] = f(46 ^ [g(33 ^ [])])), f(46 ^ [g(33 ^ [])]) = f(g(f(46 ^ [g(33 ^ [])])))],extension(37 ^ 7,bind([[_17811], [f(46 ^ [g(33 ^ [])])]]))).
% 7.41/7.58  ncf('1.2.1.1.1',plain,[-(f(46 ^ [g(33 ^ [])]) = f(g(f(46 ^ [g(33 ^ [])])))), 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])]))],extension(26 ^ 8,bind([[_17447, _17449], [g(f(46 ^ [g(33 ^ [])])), 46 ^ [g(33 ^ [])]]]))).
% 7.41/7.58  ncf('1.2.1.1.1.1',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])))],extension(48 ^ 9)).
% 7.41/7.58  ncf('1.2.2',plain,[-(g(f(46 ^ [g(33 ^ [])])) = 46 ^ [g(33 ^ [])]), 46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])]))],extension(4 ^ 6,bind([[_16732, _16734], [g(f(46 ^ [g(33 ^ [])])), 46 ^ [g(33 ^ [])]]]))).
% 7.41/7.58  ncf('1.2.2.1',plain,[-(46 ^ [g(33 ^ [])] = g(f(46 ^ [g(33 ^ [])])))],extension(48 ^ 7)).
% 7.41/7.58  ncf('1.3',plain,[-(f(51 ^ []) = f(g(f(51 ^ [])))), 51 ^ [] = g(f(51 ^ []))],extension(26 ^ 3,bind([[_17447, _17449], [g(f(51 ^ [])), 51 ^ []]]))).
% 7.41/7.58  ncf('1.3.1',plain,[-(51 ^ [] = g(f(51 ^ [])))],extension(53 ^ 4)).
% 7.41/7.58  ncf('1.4',plain,[-(f(51 ^ []) = 64 ^ [f(51 ^ [])]), f(51 ^ []) = f(g(64 ^ [f(51 ^ [])])), f(g(64 ^ [f(51 ^ [])])) = 64 ^ [f(51 ^ [])]],extension(10 ^ 5,bind([[_16936, _16938, _16940], [64 ^ [f(51 ^ [])], f(g(64 ^ [f(51 ^ [])])), f(51 ^ [])]]))).
% 7.41/7.58  ncf('1.4.1',plain,[-(f(51 ^ []) = f(g(64 ^ [f(51 ^ [])]))), 51 ^ [] = g(64 ^ [f(51 ^ [])])],extension(26 ^ 6,bind([[_17447, _17449], [g(64 ^ [f(51 ^ [])]), 51 ^ []]]))).
% 7.41/7.58  ncf('1.4.1.1',plain,[-(51 ^ [] = g(64 ^ [f(51 ^ [])])), g(64 ^ [f(51 ^ [])]) = g(f(g(64 ^ [f(51 ^ [])])))],extension(55 ^ 7,bind([[_18459], [g(64 ^ [f(51 ^ [])])]]))).
% 7.41/7.58  ncf('1.4.1.1.1',plain,[-(g(64 ^ [f(51 ^ [])]) = g(f(g(64 ^ [f(51 ^ [])])))), 64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])]))],extension(20 ^ 8,bind([[_17249, _17251], [f(g(64 ^ [f(51 ^ [])])), 64 ^ [f(51 ^ [])]]]))).
% 7.41/7.58  ncf('1.4.1.1.1.1',plain,[-(64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])])))],extension(66 ^ 9)).
% 7.41/7.58  ncf('1.4.2',plain,[-(f(g(64 ^ [f(51 ^ [])])) = 64 ^ [f(51 ^ [])]), 64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])]))],extension(4 ^ 6,bind([[_16732, _16734], [f(g(64 ^ [f(51 ^ [])])), 64 ^ [f(51 ^ [])]]]))).
% 7.41/7.58  ncf('1.4.2.1',plain,[-(64 ^ [f(51 ^ [])] = f(g(64 ^ [f(51 ^ [])])))],extension(66 ^ 7)).
% 7.41/7.58  %-----------------------------------------------------
% 7.41/7.58  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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