TSTP Solution File: SET917+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 02:57:02 EDT 2022

% Result   : Theorem 0.31s 1.40s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 12:31:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.31/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41  
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  fof(t58_zfmisc_1, conjecture, ! [_16119, _16122] : (disjoint(singleton(_16119), _16122) | set_intersection2(singleton(_16119), _16122) = singleton(_16119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t58_zfmisc_1)).
% 0.31/1.41  fof(commutativity_k3_xboole_0, axiom, ! [_16316, _16319] : set_intersection2(_16316, _16319) = set_intersection2(_16319, _16316), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 0.31/1.41  fof(l28_zfmisc_1, axiom, ! [_16463, _16466] : (~ in(_16463, _16466) => disjoint(singleton(_16463), _16466)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 0.31/1.41  fof(l32_zfmisc_1, axiom, ! [_16625, _16628] : (in(_16625, _16628) => set_intersection2(_16628, singleton(_16625)) = singleton(_16625)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l32_zfmisc_1)).
% 0.31/1.41  
% 0.31/1.41  cnf(1, plain, [disjoint(singleton(3 ^ []), 4 ^ [])], clausify(t58_zfmisc_1)).
% 0.31/1.41  cnf(2, plain, [set_intersection2(singleton(3 ^ []), 4 ^ []) = singleton(3 ^ [])], clausify(t58_zfmisc_1)).
% 0.31/1.41  cnf(3, plain, [-(set_intersection2(_9254, _9299) = set_intersection2(_9299, _9254))], clausify(commutativity_k3_xboole_0)).
% 0.31/1.41  cnf(4, plain, [-(in(_9831, _9880)), -(disjoint(singleton(_9831), _9880))], clausify(l28_zfmisc_1)).
% 0.31/1.41  cnf(5, plain, [in(_10181, _10233), -(set_intersection2(_10233, singleton(_10181)) = singleton(_10181))], clausify(l32_zfmisc_1)).
% 0.31/1.41  cnf(6, plain, [-(_5842 = _5953), _5842 = _5898, _5898 = _5953], theory(equality)).
% 0.31/1.41  
% 0.31/1.41  cnf('1',plain,[set_intersection2(singleton(3 ^ []), 4 ^ []) = singleton(3 ^ [])],start(2)).
% 0.31/1.41  cnf('1.1',plain,[-(set_intersection2(singleton(3 ^ []), 4 ^ []) = singleton(3 ^ [])), set_intersection2(singleton(3 ^ []), 4 ^ []) = set_intersection2(4 ^ [], singleton(3 ^ [])), set_intersection2(4 ^ [], singleton(3 ^ [])) = singleton(3 ^ [])],extension(6,bind([[_5842, _5898, _5953], [set_intersection2(singleton(3 ^ []), 4 ^ []), set_intersection2(4 ^ [], singleton(3 ^ [])), singleton(3 ^ [])]]))).
% 0.31/1.41  cnf('1.1.1',plain,[-(set_intersection2(singleton(3 ^ []), 4 ^ []) = set_intersection2(4 ^ [], singleton(3 ^ [])))],extension(3,bind([[_9299, _9254], [4 ^ [], singleton(3 ^ [])]]))).
% 0.31/1.41  cnf('1.1.2',plain,[-(set_intersection2(4 ^ [], singleton(3 ^ [])) = singleton(3 ^ [])), in(3 ^ [], 4 ^ [])],extension(5,bind([[_10181, _10233], [3 ^ [], 4 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1',plain,[-(in(3 ^ [], 4 ^ [])), -(disjoint(singleton(3 ^ []), 4 ^ []))],extension(4,bind([[_9831, _9880], [3 ^ [], 4 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.1',plain,[disjoint(singleton(3 ^ []), 4 ^ [])],extension(1)).
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  
% 0.31/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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