%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 02:56:47 EDT 2022

% Result   : Theorem 0.31s 1.39s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n025.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  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 04:05:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.31/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41  
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  fof(t21_zfmisc_1, conjecture, ! [_13575, _13578] : (set_difference(singleton(_13575), singleton(_13578)) = empty_set => _13575 = _13578), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t21_zfmisc_1)).
% 0.31/1.41  fof(l36_zfmisc_1, axiom, ! [_13762, _13765] : (set_difference(singleton(_13762), _13765) = empty_set <=> in(_13762, _13765)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l36_zfmisc_1)).
% 0.31/1.41  fof(d1_tarski, axiom, ! [_13930, _13933] : (_13933 = singleton(_13930) <=> ! [_13951] : (in(_13951, _13933) <=> _13951 = _13930)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.31/1.41  
% 0.31/1.41  cnf(1, plain, [-(set_difference(singleton(4 ^ []), singleton(5 ^ [])) = empty_set)], clausify(t21_zfmisc_1)).
% 0.31/1.41  cnf(2, plain, [4 ^ [] = 5 ^ []], clausify(t21_zfmisc_1)).
% 0.31/1.41  cnf(3, plain, [set_difference(singleton(_8478), _8528) = empty_set, -(in(_8478, _8528))], clausify(l36_zfmisc_1)).
% 0.31/1.41  cnf(4, plain, [_7943 = singleton(_7885), in(_8075, _7943), -(_8075 = _7885)], clausify(d1_tarski)).
% 0.31/1.41  cnf(5, plain, [-(_4680 = _4680)], theory(equality)).
% 0.31/1.41  
% 0.31/1.41  cnf('1',plain,[4 ^ [] = 5 ^ []],start(2)).
% 0.31/1.41  cnf('1.1',plain,[-(4 ^ [] = 5 ^ []), singleton(5 ^ []) = singleton(5 ^ []), in(4 ^ [], singleton(5 ^ []))],extension(4,bind([[_7885, _8075, _7943], [5 ^ [], 4 ^ [], singleton(5 ^ [])]]))).
% 0.31/1.41  cnf('1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(5,bind([[_4680], [singleton(5 ^ [])]]))).
% 0.31/1.41  cnf('1.1.2',plain,[-(in(4 ^ [], singleton(5 ^ []))), set_difference(singleton(4 ^ []), singleton(5 ^ [])) = empty_set],extension(3,bind([[_8478, _8528], [4 ^ [], singleton(5 ^ [])]]))).
% 0.31/1.41  cnf('1.1.2.1',plain,[-(set_difference(singleton(4 ^ []), singleton(5 ^ [])) = empty_set)],extension(1)).
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  
% 0.31/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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