TSTP Solution File: SET926+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET926+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 03:52:21 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 42 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 12 |; 7 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( set_difference(singleton(X1),X2) = empty_set
<=> in(X1,X2) ),
file('/tmp/tmphoaLVg/sel_SET926+1.p_1',l36_zfmisc_1) ).
fof(5,axiom,
! [X1,X2] :
( set_difference(singleton(X1),X2) = singleton(X1)
<=> ~ in(X1,X2) ),
file('/tmp/tmphoaLVg/sel_SET926+1.p_1',l34_zfmisc_1) ).
fof(7,conjecture,
! [X1,X2] :
( set_difference(singleton(X1),X2) = empty_set
| set_difference(singleton(X1),X2) = singleton(X1) ),
file('/tmp/tmphoaLVg/sel_SET926+1.p_1',t69_zfmisc_1) ).
fof(8,negated_conjecture,
~ ! [X1,X2] :
( set_difference(singleton(X1),X2) = empty_set
| set_difference(singleton(X1),X2) = singleton(X1) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(11,plain,
! [X1,X2] :
( set_difference(singleton(X1),X2) = singleton(X1)
<=> ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(12,plain,
! [X1,X2] :
( ( set_difference(singleton(X1),X2) != empty_set
| in(X1,X2) )
& ( ~ in(X1,X2)
| set_difference(singleton(X1),X2) = empty_set ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(13,plain,
! [X3,X4] :
( ( set_difference(singleton(X3),X4) != empty_set
| in(X3,X4) )
& ( ~ in(X3,X4)
| set_difference(singleton(X3),X4) = empty_set ) ),
inference(variable_rename,[status(thm)],[12]) ).
cnf(14,plain,
( set_difference(singleton(X1),X2) = empty_set
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(25,plain,
! [X1,X2] :
( ( set_difference(singleton(X1),X2) != singleton(X1)
| ~ in(X1,X2) )
& ( in(X1,X2)
| set_difference(singleton(X1),X2) = singleton(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(26,plain,
! [X3,X4] :
( ( set_difference(singleton(X3),X4) != singleton(X3)
| ~ in(X3,X4) )
& ( in(X3,X4)
| set_difference(singleton(X3),X4) = singleton(X3) ) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( set_difference(singleton(X1),X2) = singleton(X1)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(30,negated_conjecture,
? [X1,X2] :
( set_difference(singleton(X1),X2) != empty_set
& set_difference(singleton(X1),X2) != singleton(X1) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(31,negated_conjecture,
? [X3,X4] :
( set_difference(singleton(X3),X4) != empty_set
& set_difference(singleton(X3),X4) != singleton(X3) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,negated_conjecture,
( set_difference(singleton(esk3_0),esk4_0) != empty_set
& set_difference(singleton(esk3_0),esk4_0) != singleton(esk3_0) ),
inference(skolemize,[status(esa)],[31]) ).
cnf(33,negated_conjecture,
set_difference(singleton(esk3_0),esk4_0) != singleton(esk3_0),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(34,negated_conjecture,
set_difference(singleton(esk3_0),esk4_0) != empty_set,
inference(split_conjunct,[status(thm)],[32]) ).
cnf(36,negated_conjecture,
in(esk3_0,esk4_0),
inference(spm,[status(thm)],[33,27,theory(equality)]) ).
cnf(40,negated_conjecture,
set_difference(singleton(esk3_0),esk4_0) = empty_set,
inference(spm,[status(thm)],[14,36,theory(equality)]) ).
cnf(41,negated_conjecture,
$false,
inference(sr,[status(thm)],[40,34,theory(equality)]) ).
cnf(42,negated_conjecture,
$false,
41,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET926+1.p
% --creating new selector for []
% -running prover on /tmp/tmphoaLVg/sel_SET926+1.p_1 with time limit 29
% -prover status Theorem
% Problem SET926+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET926+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET926+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------