↑ Up

leanCoP---2.2.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU148+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n019.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 12:00:27 EDT 2022

% Result   : Theorem 0.33s 1.42s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SEU148+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 13:41:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.33/1.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.43  
% 0.33/1.43  %-----------------------------------------------------
% 0.33/1.43  fof(t6_zfmisc_1, conjecture, ! [_17806, _17809] : (subset(singleton(_17806), singleton(_17809)) => _17806 = _17809), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t6_zfmisc_1)).
% 0.33/1.43  fof(l1_zfmisc_1, axiom, ! [_18019] : (! singleton(_18019)) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', l1_zfmisc_1)).
% 0.33/1.43  fof(l4_zfmisc_1, axiom, ! [_18143, _18146] : (subset(_18143, singleton(_18146)) <=> _18143 = empty_set | _18143 = singleton(_18146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l4_zfmisc_1)).
% 0.33/1.43  fof(d1_tarski, axiom, ! [_18327, _18330] : (_18330 = singleton(_18327) <=> ! [_18348] : (in(_18348, _18330) <=> _18348 = _18327)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.33/1.43  
% 0.33/1.43  cnf(1, plain, [-(subset(singleton(4 ^ []), singleton(5 ^ [])))], clausify(t6_zfmisc_1)).
% 0.33/1.43  cnf(2, plain, [4 ^ [] = 5 ^ []], clausify(t6_zfmisc_1)).
% 0.33/1.43  cnf(3, plain, [_7786 = _7835, -(singleton(_7786) = singleton(_7835))], theory(equality)).
% 0.33/1.43  cnf(4, plain, [-(_5276 = _5276)], theory(equality)).
% 0.33/1.43  cnf(5, plain, [-(in(_6580, _6711)), in(_6513, _6646), _6513 = _6580, _6646 = _6711], theory(equality)).
% 0.33/1.43  cnf(6, plain, [singleton(_9340) = empty_set], clausify(l1_zfmisc_1)).
% 0.33/1.43  cnf(7, plain, [subset(_9550, singleton(_9605)), -(_9550 = empty_set), -(_9550 = singleton(_9605))], clausify(l4_zfmisc_1)).
% 0.33/1.43  cnf(8, plain, [_8539 = singleton(_8481), in(_8671, _8539), -(_8671 = _8481)], clausify(d1_tarski)).
% 0.33/1.43  cnf(9, plain, [_8539 = singleton(_8481), -(in(_8671, _8539)), _8671 = _8481], clausify(d1_tarski)).
% 0.33/1.43  
% 0.33/1.43  cnf('1',plain,[4 ^ [] = 5 ^ []],start(2)).
% 0.33/1.43  cnf('1.1',plain,[-(4 ^ [] = 5 ^ []), singleton(5 ^ []) = singleton(5 ^ []), in(4 ^ [], singleton(5 ^ []))],extension(8,bind([[_8481, _8671, _8539], [5 ^ [], 4 ^ [], singleton(5 ^ [])]]))).
% 0.33/1.43  cnf('1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ [])), 5 ^ [] = 5 ^ []],extension(3,bind([[_7786, _7835], [5 ^ [], 5 ^ []]]))).
% 0.33/1.43  cnf('1.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_5276], [5 ^ []]]))).
% 0.33/1.43  cnf('1.1.2',plain,[-(in(4 ^ [], singleton(5 ^ []))), in(4 ^ [], singleton(4 ^ [])), 4 ^ [] = 4 ^ [], singleton(4 ^ []) = singleton(5 ^ [])],extension(5,bind([[_6513, _6580, _6646, _6711], [4 ^ [], 4 ^ [], singleton(4 ^ []), singleton(5 ^ [])]]))).
% 0.33/1.43  cnf('1.1.2.1',plain,[-(in(4 ^ [], singleton(4 ^ []))), singleton(4 ^ []) = singleton(4 ^ []), 4 ^ [] = 4 ^ []],extension(9,bind([[_8539, _8671, _8481], [singleton(4 ^ []), 4 ^ [], 4 ^ []]]))).
% 0.33/1.43  cnf('1.1.2.1.1',plain,[-(singleton(4 ^ []) = singleton(4 ^ []))],extension(4,bind([[_5276], [singleton(4 ^ [])]]))).
% 0.33/1.43  cnf('1.1.2.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(4,bind([[_5276], [4 ^ []]]))).
% 0.33/1.43  cnf('1.1.2.2',plain,[-(4 ^ [] = 4 ^ [])],extension(4,bind([[_5276], [4 ^ []]]))).
% 0.33/1.43  cnf('1.1.2.3',plain,[-(singleton(4 ^ []) = singleton(5 ^ [])), subset(singleton(4 ^ []), singleton(5 ^ [])), -(singleton(4 ^ []) = empty_set)],extension(7,bind([[_9605, _9550], [5 ^ [], singleton(4 ^ [])]]))).
% 0.33/1.43  cnf('1.1.2.3.1',plain,[-(subset(singleton(4 ^ []), singleton(5 ^ [])))],extension(1)).
% 0.33/1.43  cnf('1.1.2.3.2',plain,[singleton(4 ^ []) = empty_set],extension(6,bind([[_9340], [4 ^ []]]))).
% 0.33/1.43  %-----------------------------------------------------
% 0.33/1.43  
% 0.33/1.44  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------