TSTP Solution File: SET908+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET908+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 02:56:58 EDT 2022

% Result   : Theorem 0.35s 1.42s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET908+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n029.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 19:27:31 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.35/1.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.43  
% 0.35/1.43  %-----------------------------------------------------
% 0.35/1.43  fof(t49_zfmisc_1, conjecture, ! [_20117, _20120] : (! set_union2(singleton(_20117), _20120)) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', t49_zfmisc_1)).
% 0.35/1.43  fof(d1_tarski, axiom, ! [_20295, _20298] : (_20298 = singleton(_20295) <=> ! [_20316] : (in(_20316, _20298) <=> _20316 = _20295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.35/1.43  fof(d1_xboole_0, axiom, ! [_20502] : (_20502 = empty_set <=> ! [_20516] : ~ in(_20516, _20502)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.35/1.43  fof(d2_xboole_0, axiom, ! [_20677, _20680, _20683] : (_20683 = set_union2(_20677, _20680) <=> ! [_20704] : (in(_20704, _20683) <=> in(_20704, _20677) | in(_20704, _20680))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.35/1.43  
% 0.35/1.43  cnf(1, plain, [-(set_union2(singleton(6 ^ []), 7 ^ []) = empty_set)], clausify(t49_zfmisc_1)).
% 0.35/1.43  cnf(2, plain, [-(set_union2(_8149, _8282) = set_union2(_8216, _8347)), _8149 = _8216, _8282 = _8347], theory(equality)).
% 0.35/1.43  cnf(3, plain, [-(_6268 = _6268)], theory(equality)).
% 0.35/1.43  cnf(4, plain, [_9841 = singleton(_9783), -(in(_9973, _9841)), _9973 = _9783], clausify(d1_tarski)).
% 0.35/1.43  cnf(5, plain, [_10264 = empty_set, in(_10370, _10264)], clausify(d1_xboole_0)).
% 0.35/1.43  cnf(6, plain, [_10727 = set_union2(_10588, _10658), -(in(_10891, _10727)), in(_10891, _10588)], clausify(d2_xboole_0)).
% 0.35/1.43  
% 0.35/1.43  cnf('1',plain,[set_union2(singleton(6 ^ []), 7 ^ []) = empty_set, in(6 ^ [], set_union2(singleton(6 ^ []), 7 ^ []))],start(5,bind([[_10370, _10264], [6 ^ [], set_union2(singleton(6 ^ []), 7 ^ [])]]))).
% 0.35/1.43  cnf('1.1',plain,[-(set_union2(singleton(6 ^ []), 7 ^ []) = empty_set)],extension(1)).
% 0.35/1.43  cnf('1.2',plain,[-(in(6 ^ [], set_union2(singleton(6 ^ []), 7 ^ []))), set_union2(singleton(6 ^ []), 7 ^ []) = set_union2(singleton(6 ^ []), 7 ^ []), in(6 ^ [], singleton(6 ^ []))],extension(6,bind([[_10727, _10658, _10891, _10588], [set_union2(singleton(6 ^ []), 7 ^ []), 7 ^ [], 6 ^ [], singleton(6 ^ [])]]))).
% 0.35/1.43  cnf('1.2.1',plain,[-(set_union2(singleton(6 ^ []), 7 ^ []) = set_union2(singleton(6 ^ []), 7 ^ [])), singleton(6 ^ []) = singleton(6 ^ []), 7 ^ [] = 7 ^ []],extension(2,bind([[_8149, _8216, _8282, _8347], [singleton(6 ^ []), singleton(6 ^ []), 7 ^ [], 7 ^ []]]))).
% 0.35/1.43  cnf('1.2.1.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(3,bind([[_6268], [singleton(6 ^ [])]]))).
% 0.35/1.43  cnf('1.2.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(3,bind([[_6268], [7 ^ []]]))).
% 0.35/1.43  cnf('1.2.2',plain,[-(in(6 ^ [], singleton(6 ^ []))), singleton(6 ^ []) = singleton(6 ^ []), 6 ^ [] = 6 ^ []],extension(4,bind([[_9841, _9973, _9783], [singleton(6 ^ []), 6 ^ [], 6 ^ []]]))).
% 0.35/1.43  cnf('1.2.2.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(3,bind([[_6268], [singleton(6 ^ [])]]))).
% 0.35/1.43  cnf('1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(3,bind([[_6268], [6 ^ []]]))).
% 0.35/1.43  %-----------------------------------------------------
% 0.35/1.44  
% 0.35/1.44  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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