TSTP Solution File: SET942+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n028.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 02:57:14 EDT 2022

% Result   : Theorem 0.36s 1.39s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jul 10 20:26:57 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.36/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.39  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40  
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  fof(t95_zfmisc_1, conjecture, ! [_18921, _18924] : (subset(_18921, _18924) => subset(union(_18921), union(_18924))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t95_zfmisc_1)).
% 0.36/1.40  fof(d3_tarski, axiom, ! [_19126, _19129] : (subset(_19126, _19129) <=> ! [_19147] : (in(_19147, _19126) => in(_19147, _19129))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.36/1.40  fof(d4_tarski, axiom, ! [_19357, _19360] : (_19360 = union(_19357) <=> ! [_19378] : (in(_19378, _19360) <=> ? [_19396] : (in(_19378, _19396) & in(_19396, _19357)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 0.36/1.40  
% 0.36/1.40  cnf(1, plain, [-(subset(7 ^ [], 8 ^ []))], clausify(t95_zfmisc_1)).
% 0.36/1.40  cnf(2, plain, [subset(union(7 ^ []), union(8 ^ []))], clausify(t95_zfmisc_1)).
% 0.36/1.40  cnf(3, plain, [_7495 = _7544, -(union(_7495) = union(_7544))], theory(equality)).
% 0.36/1.40  cnf(4, plain, [-(_4985 = _4985)], theory(equality)).
% 0.36/1.40  cnf(5, plain, [-(subset(_8190, _8246)), -(in(1 ^ [_8246, _8190], _8190))], clausify(d3_tarski)).
% 0.36/1.40  cnf(6, plain, [-(subset(_8190, _8246)), in(1 ^ [_8246, _8190], _8246)], clausify(d3_tarski)).
% 0.36/1.40  cnf(7, plain, [subset(_8190, _8246), in(_8360, _8190), -(in(_8360, _8246))], clausify(d3_tarski)).
% 0.36/1.40  cnf(8, plain, [_8720 = union(_8651), in(_8863, _8720), -(in(_8863, 2 ^ [_8863, _8720, _8651]))], clausify(d4_tarski)).
% 0.36/1.40  cnf(9, plain, [_8720 = union(_8651), in(_8863, _8720), -(in(2 ^ [_8863, _8720, _8651], _8651))], clausify(d4_tarski)).
% 0.36/1.40  cnf(10, plain, [_8720 = union(_8651), -(in(_8863, _8720)), in(_8863, _8982), in(_8982, _8651)], clausify(d4_tarski)).
% 0.36/1.40  
% 0.36/1.40  cnf('1',plain,[subset(union(7 ^ []), union(8 ^ []))],start(2)).
% 0.36/1.40  cnf('1.1',plain,[-(subset(union(7 ^ []), union(8 ^ []))), -(in(1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ [])))],extension(5,bind([[_8246, _8190], [union(8 ^ []), union(7 ^ [])]]))).
% 0.36/1.40  cnf('1.1.1',plain,[in(1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ [])), union(7 ^ []) = union(7 ^ []), -(in(1 ^ [union(8 ^ []), union(7 ^ [])], 2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []]))],extension(8,bind([[_8863, _8720, _8651], [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.1',plain,[-(union(7 ^ []) = union(7 ^ [])), 7 ^ [] = 7 ^ []],extension(3,bind([[_7495, _7544], [7 ^ [], 7 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_4985], [7 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.2',plain,[in(1 ^ [union(8 ^ []), union(7 ^ [])], 2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []]), union(8 ^ []) = union(8 ^ []), -(in(1 ^ [union(8 ^ []), union(7 ^ [])], union(8 ^ []))), in(2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []], 8 ^ [])],extension(10,bind([[_8863, _8720, _8982, _8651], [1 ^ [union(8 ^ []), union(7 ^ [])], union(8 ^ []), 2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []], 8 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.2.1',plain,[-(union(8 ^ []) = union(8 ^ [])), 8 ^ [] = 8 ^ []],extension(3,bind([[_7495, _7544], [8 ^ [], 8 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.2.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_4985], [8 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.2.2',plain,[in(1 ^ [union(8 ^ []), union(7 ^ [])], union(8 ^ [])), -(subset(union(7 ^ []), union(8 ^ [])))],extension(6,bind([[_8190, _8246], [union(7 ^ []), union(8 ^ [])]]))).
% 0.36/1.40  cnf('1.1.1.2.2.1',plain,[subset(union(7 ^ []), union(8 ^ []))],extension(2)).
% 0.36/1.40  cnf('1.1.1.2.3',plain,[-(in(2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []], 8 ^ [])), subset(7 ^ [], 8 ^ []), in(2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []], 7 ^ [])],extension(7,bind([[_8246, _8360, _8190], [8 ^ [], 2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []], 7 ^ []]]))).
% 0.36/1.40  cnf('1.1.1.2.3.1',plain,[-(subset(7 ^ [], 8 ^ []))],extension(1)).
% 0.36/1.40  cnf('1.1.1.2.3.2',plain,[-(in(2 ^ [1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []), 7 ^ []], 7 ^ [])), union(7 ^ []) = union(7 ^ []), in(1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ []))],extension(9,bind([[_8651, _8863, _8720], [7 ^ [], 1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ [])]]))).
% 0.36/1.40  cnf('1.1.1.2.3.2.1',plain,[-(union(7 ^ []) = union(7 ^ []))],extension(4,bind([[_4985], [union(7 ^ [])]]))).
% 0.36/1.40  cnf('1.1.1.2.3.2.2',plain,[-(in(1 ^ [union(8 ^ []), union(7 ^ [])], union(7 ^ [])))],reduction('1.1')).
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  
% 0.36/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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