TSTP Solution File: SET901+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n007.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 1.41s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 13:35:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.34/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42  
% 0.34/1.42  %-----------------------------------------------------
% 0.34/1.42  fof(t42_zfmisc_1, conjecture, ! [_18531, _18534, _18537] : (subset(_18531, unordered_pair(_18534, _18537)) <=> ~ ((! _18531) = empty_set & (! _18531) = singleton(_18534) & (! _18531) = singleton(_18537) & (! _18531) = unordered_pair(_18534, _18537))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t42_zfmisc_1)).
% 0.34/1.42  fof(l46_zfmisc_1, axiom, ! [_18923, _18926, _18929] : (subset(_18923, unordered_pair(_18926, _18929)) <=> ~ ((! _18923) = empty_set & (! _18923) = singleton(_18926) & (! _18923) = singleton(_18929) & (! _18923) = unordered_pair(_18926, _18929))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l46_zfmisc_1)).
% 0.34/1.42  
% 0.34/1.42  cnf(1, plain, [-(7 ^ []), -(3 ^ [] = empty_set), -(3 ^ [] = singleton(4 ^ [])), -(3 ^ [] = singleton(5 ^ [])), -(3 ^ [] = unordered_pair(4 ^ [], 5 ^ []))], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(2, plain, [-(7 ^ []), subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ []))], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(3, plain, [-(6 ^ []), 3 ^ [] = unordered_pair(4 ^ [], 5 ^ [])], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(4, plain, [-(6 ^ []), 3 ^ [] = singleton(5 ^ [])], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(5, plain, [-(6 ^ []), 3 ^ [] = singleton(4 ^ [])], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(6, plain, [-(6 ^ []), 3 ^ [] = empty_set], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(7, plain, [-(6 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(8, plain, [6 ^ [], 7 ^ []], clausify(t42_zfmisc_1)).
% 0.34/1.42  cnf(9, plain, [-(subset(_9109, unordered_pair(_9197, _9284))), _9109 = empty_set], clausify(l46_zfmisc_1)).
% 0.34/1.42  cnf(10, plain, [-(subset(_9109, unordered_pair(_9197, _9284))), _9109 = singleton(_9197)], clausify(l46_zfmisc_1)).
% 0.34/1.42  cnf(11, plain, [-(subset(_9109, unordered_pair(_9197, _9284))), _9109 = singleton(_9284)], clausify(l46_zfmisc_1)).
% 0.34/1.42  cnf(12, plain, [-(subset(_9109, unordered_pair(_9197, _9284))), _9109 = unordered_pair(_9197, _9284)], clausify(l46_zfmisc_1)).
% 0.34/1.42  cnf(13, plain, [subset(_9109, unordered_pair(_9197, _9284)), -(_9109 = empty_set), -(_9109 = singleton(_9197)), -(_9109 = singleton(_9284)), -(_9109 = unordered_pair(_9197, _9284))], clausify(l46_zfmisc_1)).
% 0.34/1.42  
% 0.34/1.42  cnf('1',plain,[6 ^ [], 7 ^ []],start(8)).
% 0.34/1.42  cnf('1.1',plain,[-(6 ^ []), 3 ^ [] = unordered_pair(4 ^ [], 5 ^ [])],extension(3)).
% 0.34/1.42  cnf('1.1.1',plain,[-(3 ^ [] = unordered_pair(4 ^ [], 5 ^ [])), subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(3 ^ [] = empty_set), -(3 ^ [] = singleton(4 ^ [])), -(3 ^ [] = singleton(5 ^ []))],extension(13,bind([[_9197, _9109, _9284], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.34/1.42  cnf('1.1.1.1',plain,[-(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ []))), -(6 ^ [])],extension(7)).
% 0.34/1.42  cnf('1.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.1.1.2',plain,[3 ^ [] = empty_set, -(6 ^ [])],extension(6)).
% 0.34/1.42  cnf('1.1.1.2.1',plain,[6 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.1.1.3',plain,[3 ^ [] = singleton(4 ^ []), -(6 ^ [])],extension(5)).
% 0.34/1.42  cnf('1.1.1.3.1',plain,[6 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.1.1.4',plain,[3 ^ [] = singleton(5 ^ []), -(6 ^ [])],extension(4)).
% 0.34/1.42  cnf('1.1.1.4.1',plain,[6 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.2',plain,[-(7 ^ []), -(3 ^ [] = empty_set), -(3 ^ [] = singleton(4 ^ [])), -(3 ^ [] = singleton(5 ^ [])), -(3 ^ [] = unordered_pair(4 ^ [], 5 ^ []))],extension(1)).
% 0.34/1.42  cnf('1.2.1',plain,[3 ^ [] = empty_set, -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(9,bind([[_9109, _9197, _9284], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.34/1.42  cnf('1.2.1.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.34/1.42  cnf('1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.2.2',plain,[3 ^ [] = singleton(4 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(10,bind([[_9109, _9197, _9284], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.34/1.42  cnf('1.2.2.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.34/1.42  cnf('1.2.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.2.3',plain,[3 ^ [] = singleton(5 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(11,bind([[_9109, _9197, _9284], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.34/1.42  cnf('1.2.3.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.34/1.42  cnf('1.2.3.1.1',plain,[7 ^ []],reduction('1')).
% 0.34/1.42  cnf('1.2.4',plain,[3 ^ [] = unordered_pair(4 ^ [], 5 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(12,bind([[_9109, _9197, _9284], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.34/1.42  cnf('1.2.4.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.34/1.42  cnf('1.2.4.1.1',plain,[7 ^ []],reduction('1')).
% 0.34/1.42  %-----------------------------------------------------
% 0.34/1.43  
% 0.34/1.43  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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