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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n017.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  : 600s
% DateTime : Tue Jul 19 02:51:19 EDT 2022

% Result   : Theorem 0.93s 1.44s
% Output   : Proof 0.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jul 10 23:36:18 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.93/1.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.45  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.46  
% 0.94/1.46  %-----------------------------------------------------
% 0.94/1.46  fof(thI44, conjecture, ! [_29177, _29180] : (member(_29180, _29177) => subset(singleton(_29180), _29177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI44)).
% 0.94/1.46  fof(subset, axiom, ! [_29390, _29393] : (subset(_29390, _29393) <=> ! [_29411] : (member(_29411, _29390) => member(_29411, _29393))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.94/1.46  fof(singleton, axiom, ! [_29622, _29625] : (member(_29622, singleton(_29625)) <=> _29622 = _29625), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', singleton)).
% 0.94/1.46  
% 0.94/1.46  cnf(1, plain, [-(member(5 ^ [], 4 ^ []))], clausify(thI44)).
% 0.94/1.46  cnf(2, plain, [subset(singleton(5 ^ []), 4 ^ [])], clausify(thI44)).
% 0.94/1.46  cnf(3, plain, [-(_7923 = _7923)], theory(equality)).
% 0.94/1.46  cnf(4, plain, [_8076 = _8121, -(_8121 = _8076)], theory(equality)).
% 0.94/1.46  cnf(5, plain, [-(member(_9522, _9653)), member(_9455, _9588), _9455 = _9522, _9588 = _9653], theory(equality)).
% 0.94/1.46  cnf(6, plain, [-(subset(_14681, _14737)), -(member(1 ^ [_14737, _14681], _14681))], clausify(subset)).
% 0.94/1.46  cnf(7, plain, [-(subset(_14681, _14737)), member(1 ^ [_14737, _14681], _14737)], clausify(subset)).
% 0.94/1.46  cnf(8, plain, [member(_17621, singleton(_17668)), -(_17621 = _17668)], clausify(singleton)).
% 0.94/1.46  
% 0.94/1.46  cnf('1',plain,[subset(singleton(5 ^ []), 4 ^ [])],start(2)).
% 0.94/1.46  cnf('1.1',plain,[-(subset(singleton(5 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], singleton(5 ^ [])], singleton(5 ^ [])))],extension(6,bind([[_14737, _14681], [4 ^ [], singleton(5 ^ [])]]))).
% 0.94/1.46  cnf('1.1.1',plain,[member(1 ^ [4 ^ [], singleton(5 ^ [])], singleton(5 ^ [])), -(1 ^ [4 ^ [], singleton(5 ^ [])] = 5 ^ [])],extension(8,bind([[_17621, _17668], [1 ^ [4 ^ [], singleton(5 ^ [])], 5 ^ []]]))).
% 0.94/1.46  cnf('1.1.1.1',plain,[1 ^ [4 ^ [], singleton(5 ^ [])] = 5 ^ [], -(5 ^ [] = 1 ^ [4 ^ [], singleton(5 ^ [])])],extension(4,bind([[_8121, _8076], [5 ^ [], 1 ^ [4 ^ [], singleton(5 ^ [])]]]))).
% 0.94/1.46  cnf('1.1.1.1.1',plain,[5 ^ [] = 1 ^ [4 ^ [], singleton(5 ^ [])], -(member(1 ^ [4 ^ [], singleton(5 ^ [])], 4 ^ [])), member(5 ^ [], 4 ^ []), 4 ^ [] = 4 ^ []],extension(5,bind([[_9522, _9455, _9588, _9653], [1 ^ [4 ^ [], singleton(5 ^ [])], 5 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.94/1.46  cnf('1.1.1.1.1.1',plain,[member(1 ^ [4 ^ [], singleton(5 ^ [])], 4 ^ []), -(subset(singleton(5 ^ []), 4 ^ []))],extension(7,bind([[_14681, _14737], [singleton(5 ^ []), 4 ^ []]]))).
% 0.94/1.46  cnf('1.1.1.1.1.1.1',plain,[subset(singleton(5 ^ []), 4 ^ [])],extension(2)).
% 0.94/1.46  cnf('1.1.1.1.1.2',plain,[-(member(5 ^ [], 4 ^ []))],extension(1)).
% 0.94/1.46  cnf('1.1.1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(3,bind([[_7923], [4 ^ []]]))).
% 0.94/1.46  %-----------------------------------------------------
% 0.94/1.47  
% 0.94/1.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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