TSTP Solution File: SET751+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET751+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% 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 03:34:31 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 141 ( 50 ~; 47 |; 39 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 96 ( 0 sgn 51 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmp2nlmEJ/sel_SET751+4.p_1',subset) ).
fof(3,axiom,
! [X4,X1,X5] :
( member(X5,image2(X4,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X4,X3,X5) ) ),
file('/tmp/tmp2nlmEJ/sel_SET751+4.p_1',image2) ).
fof(4,conjecture,
! [X4,X1,X2,X3,X5] :
( ( maps(X4,X1,X2)
& subset(X3,X1)
& subset(X5,X1)
& subset(X3,X5) )
=> subset(image2(X4,X3),image2(X4,X5)) ),
file('/tmp/tmp2nlmEJ/sel_SET751+4.p_1',thIIa01) ).
fof(5,negated_conjecture,
~ ! [X4,X1,X2,X3,X5] :
( ( maps(X4,X1,X2)
& subset(X3,X1)
& subset(X5,X1)
& subset(X3,X5) )
=> subset(image2(X4,X3),image2(X4,X5)) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(6,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(7,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)],[6]) ).
fof(8,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)],[7]) ).
fof(9,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)],[8]) ).
fof(10,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)],[9]) ).
cnf(11,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(12,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(13,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(34,plain,
! [X4,X1,X5] :
( ( ~ member(X5,image2(X4,X1))
| ? [X3] :
( member(X3,X1)
& apply(X4,X3,X5) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| ~ apply(X4,X3,X5) )
| member(X5,image2(X4,X1)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(35,plain,
! [X6,X7,X8] :
( ( ~ member(X8,image2(X6,X7))
| ? [X9] :
( member(X9,X7)
& apply(X6,X9,X8) ) )
& ( ! [X10] :
( ~ member(X10,X7)
| ~ apply(X6,X10,X8) )
| member(X8,image2(X6,X7)) ) ),
inference(variable_rename,[status(thm)],[34]) ).
fof(36,plain,
! [X6,X7,X8] :
( ( ~ member(X8,image2(X6,X7))
| ( member(esk7_3(X6,X7,X8),X7)
& apply(X6,esk7_3(X6,X7,X8),X8) ) )
& ( ! [X10] :
( ~ member(X10,X7)
| ~ apply(X6,X10,X8) )
| member(X8,image2(X6,X7)) ) ),
inference(skolemize,[status(esa)],[35]) ).
fof(37,plain,
! [X6,X7,X8,X10] :
( ( ~ member(X10,X7)
| ~ apply(X6,X10,X8)
| member(X8,image2(X6,X7)) )
& ( ~ member(X8,image2(X6,X7))
| ( member(esk7_3(X6,X7,X8),X7)
& apply(X6,esk7_3(X6,X7,X8),X8) ) ) ),
inference(shift_quantors,[status(thm)],[36]) ).
fof(38,plain,
! [X6,X7,X8,X10] :
( ( ~ member(X10,X7)
| ~ apply(X6,X10,X8)
| member(X8,image2(X6,X7)) )
& ( member(esk7_3(X6,X7,X8),X7)
| ~ member(X8,image2(X6,X7)) )
& ( apply(X6,esk7_3(X6,X7,X8),X8)
| ~ member(X8,image2(X6,X7)) ) ),
inference(distribute,[status(thm)],[37]) ).
cnf(39,plain,
( apply(X2,esk7_3(X2,X3,X1),X1)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(40,plain,
( member(esk7_3(X2,X3,X1),X3)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,plain,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(42,negated_conjecture,
? [X4,X1,X2,X3,X5] :
( maps(X4,X1,X2)
& subset(X3,X1)
& subset(X5,X1)
& subset(X3,X5)
& ~ subset(image2(X4,X3),image2(X4,X5)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(43,negated_conjecture,
? [X6,X7,X8,X9,X10] :
( maps(X6,X7,X8)
& subset(X9,X7)
& subset(X10,X7)
& subset(X9,X10)
& ~ subset(image2(X6,X9),image2(X6,X10)) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,negated_conjecture,
( maps(esk8_0,esk9_0,esk10_0)
& subset(esk11_0,esk9_0)
& subset(esk12_0,esk9_0)
& subset(esk11_0,esk12_0)
& ~ subset(image2(esk8_0,esk11_0),image2(esk8_0,esk12_0)) ),
inference(skolemize,[status(esa)],[43]) ).
cnf(45,negated_conjecture,
~ subset(image2(esk8_0,esk11_0),image2(esk8_0,esk12_0)),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(46,negated_conjecture,
subset(esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(52,negated_conjecture,
( member(X1,esk12_0)
| ~ member(X1,esk11_0) ),
inference(spm,[status(thm)],[13,46,theory(equality)]) ).
cnf(54,plain,
( member(X1,image2(X2,X3))
| ~ member(esk7_3(X2,X4,X1),X3)
| ~ member(X1,image2(X2,X4)) ),
inference(spm,[status(thm)],[41,39,theory(equality)]) ).
cnf(90,negated_conjecture,
( member(X1,image2(X2,esk12_0))
| ~ member(X1,image2(X2,X3))
| ~ member(esk7_3(X2,X3,X1),esk11_0) ),
inference(spm,[status(thm)],[54,52,theory(equality)]) ).
cnf(124,negated_conjecture,
( member(X1,image2(X2,esk12_0))
| ~ member(X1,image2(X2,esk11_0)) ),
inference(spm,[status(thm)],[90,40,theory(equality)]) ).
cnf(125,negated_conjecture,
( subset(X1,image2(X2,esk12_0))
| ~ member(esk1_2(X1,image2(X2,esk12_0)),image2(X2,esk11_0)) ),
inference(spm,[status(thm)],[11,124,theory(equality)]) ).
cnf(128,negated_conjecture,
subset(image2(X1,esk11_0),image2(X1,esk12_0)),
inference(spm,[status(thm)],[125,12,theory(equality)]) ).
cnf(130,negated_conjecture,
$false,
inference(rw,[status(thm)],[45,128,theory(equality)]) ).
cnf(131,negated_conjecture,
$false,
inference(cn,[status(thm)],[130,theory(equality)]) ).
cnf(132,negated_conjecture,
$false,
131,
[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/SET751+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmp2nlmEJ/sel_SET751+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET751+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET751+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET751+4.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
%
%------------------------------------------------------------------------------