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nanoCoP---2.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:56:40 EDT 2023

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 19:13:57 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(86 ^ _15398) ^ [] : [87 ^ _15398 : [(88 ^ _15398) ^ [] : [-(set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ []))], (90 ^ _15398) ^ [] : [-(in(83 ^ [], 84 ^ []))]], 91 ^ _15398 : [(92 ^ _15398) ^ [] : [in(83 ^ [], 84 ^ [])], (94 ^ _15398) ^ [] : [set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ [])]]], (60 ^ _15398) ^ [_17456, _17458] : [in(_17458, _17456), in(_17456, _17458)], (67 ^ _15398) ^ [] : [-(empty(65 ^ []))], (70 ^ _15398) ^ [] : [empty(68 ^ [])], (72 ^ _15398) ^ [_17855, _17857] : [set_difference(singleton(_17857), _17855) = singleton(_17857), in(_17857, _17855)], (78 ^ _15398) ^ [_18032, _18034] : [-(in(_18034, _18032)), -(set_difference(singleton(_18034), _18032) = singleton(_18034))], (54 ^ _15398) ^ [_17232, _17234] : [_17234 = _17232, -(singleton(_17234) = singleton(_17232))], (44 ^ _15398) ^ [_16921, _16923, _16925, _16927] : [-(set_difference(_16927, _16923) = set_difference(_16925, _16921)), _16927 = _16925, _16923 = _16921], (2 ^ _15398) ^ [_15542] : [-(_15542 = _15542)], (4 ^ _15398) ^ [_15649, _15651] : [_15651 = _15649, -(_15649 = _15651)], (10 ^ _15398) ^ [_15853, _15855, _15857] : [-(_15857 = _15853), _15857 = _15855, _15855 = _15853], (20 ^ _15398) ^ [_16166, _16168] : [-(empty(_16166)), _16168 = _16166, empty(_16168)], (30 ^ _15398) ^ [_16469, _16471, _16473, _16475] : [-(in(_16473, _16469)), in(_16475, _16471), _16475 = _16473, _16471 = _16469]], input).
% 0.33/1.39  ncf('1',plain,[set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ []), in(83 ^ [], 84 ^ [])],start(72 ^ 0,bind([[_17855, _17857], [84 ^ [], 83 ^ []]]))).
% 0.33/1.39  ncf('1.1',plain,[-(set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ [])), -(in(83 ^ [], 84 ^ []))],extension(78 ^ 1,bind([[_18032, _18034], [84 ^ [], 83 ^ []]]))).
% 0.33/1.39  ncf('1.1.1',plain,[in(83 ^ [], 84 ^ []), 88 : -(set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ []))],extension(86 ^ 2)).
% 0.33/1.39  ncf('1.1.1.1',plain,[set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ [])],reduction('1')).
% 0.33/1.39  ncf('1.2',plain,[-(in(83 ^ [], 84 ^ [])), 94 : set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ [])],extension(86 ^ 1)).
% 0.33/1.39  ncf('1.2.1',plain,[-(set_difference(singleton(83 ^ []), 84 ^ []) = singleton(83 ^ []))],lemmata('x')).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------