%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 02:57:31 EDT 2022

% Result   : Theorem 0.34s 1.43s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 12:10:02 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.34/1.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.44  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.44  
% 0.34/1.44  %-----------------------------------------------------
% 0.34/1.44  fof(t141_zfmisc_1, conjecture, ! [_16892, _16895] : (~ in(_16892, _16895) => set_difference(set_union2(_16895, singleton(_16892)), singleton(_16892)) = _16895), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t141_zfmisc_1)).
% 0.34/1.44  fof(t40_xboole_1, axiom, ! [_17109, _17112] : set_difference(set_union2(_17109, _17112), _17112) = set_difference(_17109, _17112), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t40_xboole_1)).
% 0.34/1.44  fof(t65_zfmisc_1, axiom, ! [_17272, _17275] : (set_difference(_17272, singleton(_17275)) = _17272 <=> ~ in(_17275, _17272)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t65_zfmisc_1)).
% 0.34/1.44  
% 0.34/1.44  cnf(1, plain, [in(3 ^ [], 4 ^ [])], clausify(t141_zfmisc_1)).
% 0.34/1.44  cnf(2, plain, [set_difference(set_union2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])) = 4 ^ []], clausify(t141_zfmisc_1)).
% 0.34/1.44  cnf(3, plain, [-(set_difference(set_union2(_11287, _11335), _11335) = set_difference(_11287, _11335))], clausify(t40_xboole_1)).
% 0.34/1.44  cnf(4, plain, [-(set_difference(_11630, singleton(_11682)) = _11630), -(in(_11682, _11630))], clausify(t65_zfmisc_1)).
% 0.34/1.44  cnf(5, plain, [-(_6280 = _6391), _6280 = _6336, _6336 = _6391], theory(equality)).
% 0.34/1.44  
% 0.34/1.44  cnf('1',plain,[set_difference(set_union2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])) = 4 ^ []],start(2)).
% 0.34/1.44  cnf('1.1',plain,[-(set_difference(set_union2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])) = 4 ^ []), set_difference(set_union2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])) = set_difference(4 ^ [], singleton(3 ^ [])), set_difference(4 ^ [], singleton(3 ^ [])) = 4 ^ []],extension(5,bind([[_6280, _6336, _6391], [set_difference(set_union2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])), set_difference(4 ^ [], singleton(3 ^ [])), 4 ^ []]]))).
% 0.34/1.44  cnf('1.1.1',plain,[-(set_difference(set_union2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])) = set_difference(4 ^ [], singleton(3 ^ [])))],extension(3,bind([[_11287, _11335], [4 ^ [], singleton(3 ^ [])]]))).
% 0.34/1.44  cnf('1.1.2',plain,[-(set_difference(4 ^ [], singleton(3 ^ [])) = 4 ^ []), -(in(3 ^ [], 4 ^ []))],extension(4,bind([[_11682, _11630], [3 ^ [], 4 ^ []]]))).
% 0.34/1.44  cnf('1.1.2.1',plain,[in(3 ^ [], 4 ^ [])],extension(1)).
% 0.34/1.44  %-----------------------------------------------------
% 0.34/1.45  
% 0.34/1.45  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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