TSTP Solution File: SEU424+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU424+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 09:05:27 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 24 ~; 15 |; 13 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(18,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
file('/tmp/tmpZUyNSY/sel_SEU424+1.p_1',t18_relset_2) ).
fof(23,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/tmp/tmpZUyNSY/sel_SEU424+1.p_1',s8_domain_1__e1_22__relset_2) ).
fof(44,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(48,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(50,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_simplification,[status(thm)],[23,theory(equality)]) ).
fof(105,negated_conjecture,
? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( m2_relset_1(X4,X1,X2)
& ~ m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(106,negated_conjecture,
? [X5] :
( ~ v1_xboole_0(X5)
& ? [X6,X7] :
( m1_subset_1(X7,k1_zfmisc_1(X5))
& ? [X8] :
( m2_relset_1(X8,X5,X6)
& ~ m1_subset_1(a_4_0_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ) ) ),
inference(variable_rename,[status(thm)],[105]) ).
fof(107,negated_conjecture,
( ~ v1_xboole_0(esk6_0)
& m1_subset_1(esk8_0,k1_zfmisc_1(esk6_0))
& m2_relset_1(esk9_0,esk6_0,esk7_0)
& ~ m1_subset_1(a_4_0_relset_2(esk6_0,esk7_0,esk8_0,esk9_0),k1_zfmisc_1(k1_zfmisc_1(esk7_0))) ),
inference(skolemize,[status(esa)],[106]) ).
cnf(108,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(esk6_0,esk7_0,esk8_0,esk9_0),k1_zfmisc_1(k1_zfmisc_1(esk7_0))),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(109,negated_conjecture,
m2_relset_1(esk9_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(110,negated_conjecture,
m1_subset_1(esk8_0,k1_zfmisc_1(esk6_0)),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(111,negated_conjecture,
~ v1_xboole_0(esk6_0),
inference(split_conjunct,[status(thm)],[107]) ).
fof(126,plain,
! [X1,X2,X3,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2)
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(127,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m2_relset_1(X8,X5,X6)
| m1_subset_1(a_4_0_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ),
inference(variable_rename,[status(thm)],[126]) ).
cnf(128,plain,
( m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(X1)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(233,negated_conjecture,
( v1_xboole_0(esk6_0)
| ~ m2_relset_1(esk9_0,esk6_0,esk7_0)
| ~ m1_subset_1(esk8_0,k1_zfmisc_1(esk6_0)) ),
inference(spm,[status(thm)],[108,128,theory(equality)]) ).
cnf(236,negated_conjecture,
( v1_xboole_0(esk6_0)
| $false
| ~ m1_subset_1(esk8_0,k1_zfmisc_1(esk6_0)) ),
inference(rw,[status(thm)],[233,109,theory(equality)]) ).
cnf(237,negated_conjecture,
( v1_xboole_0(esk6_0)
| $false
| $false ),
inference(rw,[status(thm)],[236,110,theory(equality)]) ).
cnf(238,negated_conjecture,
v1_xboole_0(esk6_0),
inference(cn,[status(thm)],[237,theory(equality)]) ).
cnf(239,negated_conjecture,
$false,
inference(sr,[status(thm)],[238,111,theory(equality)]) ).
cnf(240,negated_conjecture,
$false,
239,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU424+1.p
% --creating new selector for []
% -running prover on /tmp/tmpZUyNSY/sel_SEU424+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU424+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU424+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU424+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
%
%------------------------------------------------------------------------------