TSTP Solution File: SET593+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET593+3 : TPTP v5.0.0. Released v2.2.0.
% 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 03:03:48 EST 2010
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 161 ( 61 ~; 64 |; 29 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 4 sgn 51 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmpgmU2Jb/sel_SET593+3.p_1',subset_defn) ).
fof(2,conjecture,
! [X1,X2,X3] :
( subset(X1,union(X2,X3))
=> ( subset(difference(X1,X2),X3)
& subset(difference(X1,X3),X2) ) ),
file('/tmp/tmpgmU2Jb/sel_SET593+3.p_1',prove_th52) ).
fof(3,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/tmp/tmpgmU2Jb/sel_SET593+3.p_1',union_defn) ).
fof(6,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/tmp/tmpgmU2Jb/sel_SET593+3.p_1',difference_defn) ).
fof(8,negated_conjecture,
~ ! [X1,X2,X3] :
( subset(X1,union(X2,X3))
=> ( subset(difference(X1,X2),X3)
& subset(difference(X1,X3),X2) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(9,plain,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(10,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(11,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( member(X7,X4)
& ~ member(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[11]) ).
fof(13,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[12]) ).
fof(14,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( member(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[13]) ).
cnf(15,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(16,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(17,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[14]) ).
fof(18,negated_conjecture,
? [X1,X2,X3] :
( subset(X1,union(X2,X3))
& ( ~ subset(difference(X1,X2),X3)
| ~ subset(difference(X1,X3),X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(19,negated_conjecture,
? [X4,X5,X6] :
( subset(X4,union(X5,X6))
& ( ~ subset(difference(X4,X5),X6)
| ~ subset(difference(X4,X6),X5) ) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(20,negated_conjecture,
( subset(esk2_0,union(esk3_0,esk4_0))
& ( ~ subset(difference(esk2_0,esk3_0),esk4_0)
| ~ subset(difference(esk2_0,esk4_0),esk3_0) ) ),
inference(skolemize,[status(esa)],[19]) ).
cnf(21,negated_conjecture,
( ~ subset(difference(esk2_0,esk4_0),esk3_0)
| ~ subset(difference(esk2_0,esk3_0),esk4_0) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,negated_conjecture,
subset(esk2_0,union(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[20]) ).
fof(23,plain,
! [X1,X2,X3] :
( ( ~ member(X3,union(X1,X2))
| member(X3,X1)
| member(X3,X2) )
& ( ( ~ member(X3,X1)
& ~ member(X3,X2) )
| member(X3,union(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(24,plain,
! [X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ( ~ member(X6,X4)
& ~ member(X6,X5) )
| member(X6,union(X4,X5)) ) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,plain,
! [X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ~ member(X6,X4)
| member(X6,union(X4,X5)) )
& ( ~ member(X6,X5)
| member(X6,union(X4,X5)) ) ),
inference(distribute,[status(thm)],[24]) ).
cnf(28,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(40,plain,
! [X1,X2,X3] :
( ( ~ member(X3,difference(X1,X2))
| ( member(X3,X1)
& ~ member(X3,X2) ) )
& ( ~ member(X3,X1)
| member(X3,X2)
| member(X3,difference(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(41,plain,
! [X4,X5,X6] :
( ( ~ member(X6,difference(X4,X5))
| ( member(X6,X4)
& ~ member(X6,X5) ) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(variable_rename,[status(thm)],[40]) ).
fof(42,plain,
! [X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X5)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(44,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(45,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(52,plain,
( member(esk1_2(difference(X1,X2),X3),X1)
| subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[45,16,theory(equality)]) ).
cnf(54,negated_conjecture,
( member(X1,union(esk3_0,esk4_0))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[17,22,theory(equality)]) ).
cnf(59,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk1_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[44,16,theory(equality)]) ).
cnf(80,negated_conjecture,
( subset(X1,union(esk3_0,esk4_0))
| ~ member(esk1_2(X1,union(esk3_0,esk4_0)),esk2_0) ),
inference(spm,[status(thm)],[15,54,theory(equality)]) ).
cnf(81,negated_conjecture,
( member(X1,esk4_0)
| member(X1,esk3_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[28,54,theory(equality)]) ).
cnf(83,negated_conjecture,
( subset(X1,esk4_0)
| member(esk1_2(X1,esk4_0),esk3_0)
| ~ member(esk1_2(X1,esk4_0),esk2_0) ),
inference(spm,[status(thm)],[15,81,theory(equality)]) ).
cnf(91,negated_conjecture,
subset(difference(esk2_0,X1),union(esk3_0,esk4_0)),
inference(spm,[status(thm)],[80,52,theory(equality)]) ).
cnf(93,negated_conjecture,
( member(X1,union(esk3_0,esk4_0))
| ~ member(X1,difference(esk2_0,X2)) ),
inference(spm,[status(thm)],[17,91,theory(equality)]) ).
cnf(121,negated_conjecture,
( member(esk1_2(difference(esk2_0,X1),X2),union(esk3_0,esk4_0))
| subset(difference(esk2_0,X1),X2) ),
inference(spm,[status(thm)],[93,16,theory(equality)]) ).
cnf(138,negated_conjecture,
( member(esk1_2(difference(esk2_0,X1),X2),esk4_0)
| member(esk1_2(difference(esk2_0,X1),X2),esk3_0)
| subset(difference(esk2_0,X1),X2) ),
inference(spm,[status(thm)],[28,121,theory(equality)]) ).
cnf(164,negated_conjecture,
( subset(difference(X1,esk3_0),esk4_0)
| ~ member(esk1_2(difference(X1,esk3_0),esk4_0),esk2_0) ),
inference(spm,[status(thm)],[59,83,theory(equality)]) ).
cnf(167,negated_conjecture,
subset(difference(esk2_0,esk3_0),esk4_0),
inference(spm,[status(thm)],[164,52,theory(equality)]) ).
cnf(169,negated_conjecture,
( $false
| ~ subset(difference(esk2_0,esk4_0),esk3_0) ),
inference(rw,[status(thm)],[21,167,theory(equality)]) ).
cnf(170,negated_conjecture,
~ subset(difference(esk2_0,esk4_0),esk3_0),
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(2231,negated_conjecture,
( subset(difference(esk2_0,esk4_0),X1)
| member(esk1_2(difference(esk2_0,esk4_0),X1),esk3_0) ),
inference(spm,[status(thm)],[59,138,theory(equality)]) ).
cnf(2241,negated_conjecture,
subset(difference(esk2_0,esk4_0),esk3_0),
inference(spm,[status(thm)],[15,2231,theory(equality)]) ).
cnf(2251,negated_conjecture,
$false,
inference(sr,[status(thm)],[2241,170,theory(equality)]) ).
cnf(2252,negated_conjecture,
$false,
2251,
[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/SET593+3.p
% --creating new selector for []
% -running prover on /tmp/tmpgmU2Jb/sel_SET593+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET593+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET593+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET593+3.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
%
%------------------------------------------------------------------------------