TSTP Solution File: SET903+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 02:56:55 EDT 2022

% Result   : Theorem 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jul  9 17:50:00 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.34/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.40  
% 0.34/1.40  %-----------------------------------------------------
% 0.34/1.40  fof(t44_zfmisc_1, conjecture, ! [_18088, _18091, _18094] : ~ (singleton(_18088) = set_union2(_18091, _18094) & (! _18091) = _18094 & (! _18091) = empty_set & (! _18094) = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t44_zfmisc_1)).
% 0.34/1.40  fof(t43_zfmisc_1, axiom, ! [_18378, _18381, _18384] : ~ (singleton(_18378) = set_union2(_18381, _18384) & ~ (_18381 = singleton(_18378) & _18384 = singleton(_18378)) & ~ (_18381 = empty_set & _18384 = singleton(_18378)) & ~ (_18381 = singleton(_18378) & _18384 = empty_set)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t43_zfmisc_1)).
% 0.34/1.40  
% 0.34/1.40  cnf(1, plain, [-(singleton(3 ^ []) = set_union2(4 ^ [], 5 ^ []))], clausify(t44_zfmisc_1)).
% 0.34/1.40  cnf(2, plain, [4 ^ [] = 5 ^ []], clausify(t44_zfmisc_1)).
% 0.34/1.40  cnf(3, plain, [4 ^ [] = empty_set], clausify(t44_zfmisc_1)).
% 0.34/1.40  cnf(4, plain, [5 ^ [] = empty_set], clausify(t44_zfmisc_1)).
% 0.34/1.40  cnf(5, plain, [singleton(_9809) = set_union2(_9910, _10010), -(_9910 = empty_set), -(_9910 = singleton(_9809))], clausify(t43_zfmisc_1)).
% 0.34/1.40  cnf(6, plain, [singleton(_9809) = set_union2(_9910, _10010), -(_10010 = singleton(_9809)), -(_9910 = empty_set), -(_10010 = empty_set)], clausify(t43_zfmisc_1)).
% 0.34/1.40  cnf(7, plain, [_6029 = _6074, -(_6074 = _6029)], theory(equality)).
% 0.34/1.40  cnf(8, plain, [-(_6308 = _6419), _6308 = _6364, _6364 = _6419], theory(equality)).
% 0.34/1.40  
% 0.34/1.40  cnf('1',plain,[4 ^ [] = 5 ^ []],start(2)).
% 0.34/1.40  cnf('1.1',plain,[-(4 ^ [] = 5 ^ []), 4 ^ [] = singleton(3 ^ []), singleton(3 ^ []) = 5 ^ []],extension(8,bind([[_6308, _6364, _6419], [4 ^ [], singleton(3 ^ []), 5 ^ []]]))).
% 0.34/1.40  cnf('1.1.1',plain,[-(4 ^ [] = singleton(3 ^ [])), singleton(3 ^ []) = set_union2(4 ^ [], 5 ^ []), -(4 ^ [] = empty_set)],extension(5,bind([[_9809, _10010, _9910], [3 ^ [], 5 ^ [], 4 ^ []]]))).
% 0.34/1.40  cnf('1.1.1.1',plain,[-(singleton(3 ^ []) = set_union2(4 ^ [], 5 ^ []))],extension(1)).
% 0.34/1.40  cnf('1.1.1.2',plain,[4 ^ [] = empty_set],extension(3)).
% 0.34/1.40  cnf('1.1.2',plain,[-(singleton(3 ^ []) = 5 ^ []), 5 ^ [] = singleton(3 ^ [])],extension(7,bind([[_6029, _6074], [5 ^ [], singleton(3 ^ [])]]))).
% 0.34/1.40  cnf('1.1.2.1',plain,[-(5 ^ [] = singleton(3 ^ [])), singleton(3 ^ []) = set_union2(4 ^ [], 5 ^ []), -(4 ^ [] = empty_set), -(5 ^ [] = empty_set)],extension(6,bind([[_9809, _9910, _10010], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.34/1.40  cnf('1.1.2.1.1',plain,[-(singleton(3 ^ []) = set_union2(4 ^ [], 5 ^ []))],extension(1)).
% 0.34/1.40  cnf('1.1.2.1.2',plain,[4 ^ [] = empty_set],extension(3)).
% 0.34/1.40  cnf('1.1.2.1.3',plain,[5 ^ [] = empty_set],extension(4)).
% 0.34/1.40  %-----------------------------------------------------
% 0.34/1.41  
% 0.34/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------