TSTP Solution File: SEU144+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n032.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 12:00:25 EDT 2022

% Result   : Theorem 0.23s 1.32s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.07  % Command  : leancop_casc.sh %s %d
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Sun Jun 19 06:07:32 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.23/1.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/1.33  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/1.33  
% 0.23/1.33  %-----------------------------------------------------
% 0.23/1.33  fof(l2_zfmisc_1, conjecture, ! [_17137, _17140] : (subset(singleton(_17137), _17140) <=> in(_17137, _17140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_zfmisc_1)).
% 0.23/1.33  fof(d3_tarski, axiom, ! [_17388, _17391] : (subset(_17388, _17391) <=> ! [_17409] : (in(_17409, _17388) => in(_17409, _17391))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.23/1.33  fof(d1_tarski, axiom, ! [_17616, _17619] : (_17619 = singleton(_17616) <=> ! [_17637] : (in(_17637, _17619) <=> _17637 = _17616)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.23/1.33  
% 0.23/1.33  cnf(1, plain, [-(6 ^ []), subset(singleton(3 ^ []), 4 ^ [])], clausify(l2_zfmisc_1)).
% 0.23/1.33  cnf(2, plain, [-(6 ^ []), -(in(3 ^ [], 4 ^ []))], clausify(l2_zfmisc_1)).
% 0.23/1.33  cnf(3, plain, [-(5 ^ []), in(3 ^ [], 4 ^ [])], clausify(l2_zfmisc_1)).
% 0.23/1.33  cnf(4, plain, [-(5 ^ []), -(subset(singleton(3 ^ []), 4 ^ []))], clausify(l2_zfmisc_1)).
% 0.23/1.33  cnf(5, plain, [5 ^ [], 6 ^ []], clausify(l2_zfmisc_1)).
% 0.23/1.33  cnf(6, plain, [_6692 = _6741, -(singleton(_6692) = singleton(_6741))], theory(equality)).
% 0.23/1.33  cnf(7, plain, [-(_4526 = _4526)], theory(equality)).
% 0.23/1.33  cnf(8, plain, [_4679 = _4724, -(_4724 = _4679)], theory(equality)).
% 0.23/1.33  cnf(9, plain, [-(in(_5501, _5632)), in(_5434, _5567), _5434 = _5501, _5567 = _5632], theory(equality)).
% 0.23/1.33  cnf(10, plain, [-(subset(_7868, _7924)), -(in(2 ^ [_7924, _7868], _7868))], clausify(d3_tarski)).
% 0.23/1.33  cnf(11, plain, [-(subset(_7868, _7924)), in(2 ^ [_7924, _7868], _7924)], clausify(d3_tarski)).
% 0.23/1.33  cnf(12, plain, [subset(_7868, _7924), in(_8038, _7868), -(in(_8038, _7924))], clausify(d3_tarski)).
% 0.23/1.33  cnf(13, plain, [_7445 = singleton(_7387), in(_7577, _7445), -(_7577 = _7387)], clausify(d1_tarski)).
% 0.23/1.33  cnf(14, plain, [_7445 = singleton(_7387), -(in(_7577, _7445)), _7577 = _7387], clausify(d1_tarski)).
% 0.23/1.33  
% 0.23/1.33  cnf('1',plain,[5 ^ [], 6 ^ []],start(5)).
% 0.23/1.33  cnf('1.1',plain,[-(5 ^ []), in(3 ^ [], 4 ^ [])],extension(3)).
% 0.23/1.33  cnf('1.1.1',plain,[-(in(3 ^ [], 4 ^ [])), subset(singleton(3 ^ []), 4 ^ []), in(3 ^ [], singleton(3 ^ []))],extension(12,bind([[_7924, _8038, _7868], [4 ^ [], 3 ^ [], singleton(3 ^ [])]]))).
% 0.23/1.33  cnf('1.1.1.1',plain,[-(subset(singleton(3 ^ []), 4 ^ [])), -(5 ^ [])],extension(4)).
% 0.23/1.33  cnf('1.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 0.23/1.33  cnf('1.1.1.2',plain,[-(in(3 ^ [], singleton(3 ^ []))), singleton(3 ^ []) = singleton(3 ^ []), 3 ^ [] = 3 ^ []],extension(14,bind([[_7445, _7577, _7387], [singleton(3 ^ []), 3 ^ [], 3 ^ []]]))).
% 0.23/1.33  cnf('1.1.1.2.1',plain,[-(singleton(3 ^ []) = singleton(3 ^ [])), 3 ^ [] = 3 ^ []],extension(6,bind([[_6692, _6741], [3 ^ [], 3 ^ []]]))).
% 0.23/1.33  cnf('1.1.1.2.1.1',plain,[-(3 ^ [] = 3 ^ [])],extension(7,bind([[_4526], [3 ^ []]]))).
% 0.23/1.33  cnf('1.1.1.2.2',plain,[-(3 ^ [] = 3 ^ [])],extension(7,bind([[_4526], [3 ^ []]]))).
% 0.23/1.33  cnf('1.2',plain,[-(6 ^ []), subset(singleton(3 ^ []), 4 ^ [])],extension(1)).
% 0.23/1.33  cnf('1.2.1',plain,[-(subset(singleton(3 ^ []), 4 ^ [])), in(2 ^ [4 ^ [], singleton(3 ^ [])], 4 ^ [])],extension(11,bind([[_7868, _7924], [singleton(3 ^ []), 4 ^ []]]))).
% 0.23/1.33  cnf('1.2.1.1',plain,[-(in(2 ^ [4 ^ [], singleton(3 ^ [])], 4 ^ [])), in(3 ^ [], 4 ^ []), 3 ^ [] = 2 ^ [4 ^ [], singleton(3 ^ [])], 4 ^ [] = 4 ^ []],extension(9,bind([[_5434, _5501, _5567, _5632], [3 ^ [], 2 ^ [4 ^ [], singleton(3 ^ [])], 4 ^ [], 4 ^ []]]))).
% 0.23/1.33  cnf('1.2.1.1.1',plain,[-(in(3 ^ [], 4 ^ [])), -(6 ^ [])],extension(2)).
% 0.23/1.33  cnf('1.2.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.23/1.33  cnf('1.2.1.1.2',plain,[-(3 ^ [] = 2 ^ [4 ^ [], singleton(3 ^ [])]), 2 ^ [4 ^ [], singleton(3 ^ [])] = 3 ^ []],extension(8,bind([[_4679, _4724], [2 ^ [4 ^ [], singleton(3 ^ [])], 3 ^ []]]))).
% 0.23/1.33  cnf('1.2.1.1.2.1',plain,[-(2 ^ [4 ^ [], singleton(3 ^ [])] = 3 ^ []), singleton(3 ^ []) = singleton(3 ^ []), in(2 ^ [4 ^ [], singleton(3 ^ [])], singleton(3 ^ []))],extension(13,bind([[_7387, _7577, _7445], [3 ^ [], 2 ^ [4 ^ [], singleton(3 ^ [])], singleton(3 ^ [])]]))).
% 0.23/1.33  cnf('1.2.1.1.2.1.1',plain,[-(singleton(3 ^ []) = singleton(3 ^ []))],extension(7,bind([[_4526], [singleton(3 ^ [])]]))).
% 0.23/1.33  cnf('1.2.1.1.2.1.2',plain,[-(in(2 ^ [4 ^ [], singleton(3 ^ [])], singleton(3 ^ []))), -(subset(singleton(3 ^ []), 4 ^ []))],extension(10,bind([[_7868, _7924], [singleton(3 ^ []), 4 ^ []]]))).
% 0.23/1.33  cnf('1.2.1.1.2.1.2.1',plain,[subset(singleton(3 ^ []), 4 ^ [])],reduction('1.2')).
% 0.23/1.33  cnf('1.2.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(7,bind([[_4526], [4 ^ []]]))).
% 0.23/1.33  %-----------------------------------------------------
% 0.23/1.33  
% 0.23/1.33  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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