TSTP Solution File: SEU451+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU451+1 : TPTP v5.0.0. Released v3.4.0.
% 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 10:06:03 EST 2010
% Result : Theorem 0.47s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 8 unt; 0 def)
% Number of atoms : 143 ( 44 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 155 ( 69 ~; 66 |; 13 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 141 ( 8 sgn 71 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',dt_k6_partfun1) ).
fof(11,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X5,X1,X2)
& m1_relset_1(X6,X3,X4) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',redefinition_k7_relset_1) ).
fof(14,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',t65_relset_2) ).
fof(18,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',t23_funct_2) ).
fof(27,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',redefinition_m2_relset_1) ).
fof(33,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',dt_m2_relset_1) ).
fof(42,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/tmp/tmpGJWQzq/sel_SEU451+1.p_1',redefinition_k9_relset_2) ).
fof(49,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(55,plain,
! [X2] :
( v1_partfun1(k6_partfun1(X2),X2,X2)
& m2_relset_1(k6_partfun1(X2),X2,X2) ),
inference(variable_rename,[status(thm)],[1]) ).
cnf(56,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[55]) ).
fof(100,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ m1_relset_1(X5,X1,X2)
| ~ m1_relset_1(X6,X3,X4)
| k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(101,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ m1_relset_1(X11,X7,X8)
| ~ m1_relset_1(X12,X9,X10)
| k7_relset_1(X7,X8,X9,X10,X11,X12) = k5_relat_1(X11,X12) ),
inference(variable_rename,[status(thm)],[100]) ).
cnf(102,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(110,negated_conjecture,
? [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
& k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) != k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(111,negated_conjecture,
? [X4,X5,X6] :
( m2_relset_1(X6,X4,X5)
& k9_relset_2(X4,X4,X5,k6_partfun1(X4),X6) != k9_relset_2(X4,X5,X5,X6,k6_partfun1(X5)) ),
inference(variable_rename,[status(thm)],[110]) ).
fof(112,negated_conjecture,
( m2_relset_1(esk6_0,esk4_0,esk5_0)
& k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0) != k9_relset_2(esk4_0,esk5_0,esk5_0,esk6_0,k6_partfun1(esk5_0)) ),
inference(skolemize,[status(esa)],[111]) ).
cnf(113,negated_conjecture,
k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0) != k9_relset_2(esk4_0,esk5_0,esk5_0,esk6_0,k6_partfun1(esk5_0)),
inference(split_conjunct,[status(thm)],[112]) ).
cnf(114,negated_conjecture,
m2_relset_1(esk6_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[112]) ).
fof(124,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(125,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| ( k7_relset_1(X4,X4,X4,X5,k6_partfun1(X4),X6) = X6
& k7_relset_1(X4,X5,X5,X5,X6,k6_partfun1(X5)) = X6 ) ),
inference(variable_rename,[status(thm)],[124]) ).
fof(126,plain,
! [X4,X5,X6] :
( ( k7_relset_1(X4,X4,X4,X5,k6_partfun1(X4),X6) = X6
| ~ m2_relset_1(X6,X4,X5) )
& ( k7_relset_1(X4,X5,X5,X5,X6,k6_partfun1(X5)) = X6
| ~ m2_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[125]) ).
cnf(127,plain,
( k7_relset_1(X2,X3,X3,X3,X1,k6_partfun1(X3)) = X1
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[126]) ).
cnf(128,plain,
( k7_relset_1(X2,X2,X2,X3,k6_partfun1(X2),X1) = X1
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[126]) ).
fof(152,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(153,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[152]) ).
cnf(155,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[153]) ).
fof(169,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(170,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[169]) ).
cnf(171,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[170]) ).
fof(194,plain,
! [X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(195,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| k9_relset_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[194]) ).
cnf(196,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(split_conjunct,[status(thm)],[195]) ).
cnf(266,plain,
( k5_relat_1(X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[127,102,theory(equality)]) ).
cnf(267,plain,
( k5_relat_1(k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| ~ m1_relset_1(k6_partfun1(X1),X1,X1) ),
inference(spm,[status(thm)],[128,102,theory(equality)]) ).
cnf(272,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X5,X2,X3) ),
inference(spm,[status(thm)],[196,171,theory(equality)]) ).
cnf(431,plain,
( k5_relat_1(X3,k6_partfun1(X2)) = X3
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| ~ m2_relset_1(X3,X1,X2) ),
inference(csr,[status(thm)],[266,155]) ).
cnf(432,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2)
| ~ m2_relset_1(k6_partfun1(X2),X2,X2) ),
inference(spm,[status(thm)],[431,155,theory(equality)]) ).
cnf(433,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2)
| $false ),
inference(rw,[status(thm)],[432,56,theory(equality)]) ).
cnf(434,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(cn,[status(thm)],[433,theory(equality)]) ).
cnf(467,negated_conjecture,
k5_relat_1(esk6_0,k6_partfun1(esk5_0)) = esk6_0,
inference(spm,[status(thm)],[434,114,theory(equality)]) ).
cnf(477,plain,
( k5_relat_1(k6_partfun1(X1),X3) = X3
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| ~ m2_relset_1(X3,X1,X2) ),
inference(csr,[status(thm)],[267,155]) ).
cnf(478,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(k6_partfun1(X1),X1,X1) ),
inference(spm,[status(thm)],[477,155,theory(equality)]) ).
cnf(479,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3)
| $false ),
inference(rw,[status(thm)],[478,56,theory(equality)]) ).
cnf(480,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(cn,[status(thm)],[479,theory(equality)]) ).
cnf(668,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m2_relset_1(X5,X2,X3)
| ~ m2_relset_1(X4,X1,X2) ),
inference(spm,[status(thm)],[272,171,theory(equality)]) ).
cnf(1265,negated_conjecture,
k5_relat_1(k6_partfun1(esk4_0),esk6_0) = esk6_0,
inference(spm,[status(thm)],[480,114,theory(equality)]) ).
cnf(7350,negated_conjecture,
( k5_relat_1(esk6_0,k6_partfun1(esk5_0)) != k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0)
| ~ m2_relset_1(k6_partfun1(esk5_0),esk5_0,esk5_0)
| ~ m2_relset_1(esk6_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[113,668,theory(equality)]) ).
cnf(7355,negated_conjecture,
( esk6_0 != k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0)
| ~ m2_relset_1(k6_partfun1(esk5_0),esk5_0,esk5_0)
| ~ m2_relset_1(esk6_0,esk4_0,esk5_0) ),
inference(rw,[status(thm)],[7350,467,theory(equality)]) ).
cnf(7356,negated_conjecture,
( esk6_0 != k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0)
| $false
| ~ m2_relset_1(esk6_0,esk4_0,esk5_0) ),
inference(rw,[status(thm)],[7355,56,theory(equality)]) ).
cnf(7357,negated_conjecture,
( esk6_0 != k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0)
| $false
| $false ),
inference(rw,[status(thm)],[7356,114,theory(equality)]) ).
cnf(7358,negated_conjecture,
esk6_0 != k9_relset_2(esk4_0,esk4_0,esk5_0,k6_partfun1(esk4_0),esk6_0),
inference(cn,[status(thm)],[7357,theory(equality)]) ).
cnf(7359,negated_conjecture,
( k5_relat_1(k6_partfun1(esk4_0),esk6_0) != esk6_0
| ~ m2_relset_1(esk6_0,esk4_0,esk5_0)
| ~ m2_relset_1(k6_partfun1(esk4_0),esk4_0,esk4_0) ),
inference(spm,[status(thm)],[7358,668,theory(equality)]) ).
cnf(7360,negated_conjecture,
( $false
| ~ m2_relset_1(esk6_0,esk4_0,esk5_0)
| ~ m2_relset_1(k6_partfun1(esk4_0),esk4_0,esk4_0) ),
inference(rw,[status(thm)],[7359,1265,theory(equality)]) ).
cnf(7361,negated_conjecture,
( $false
| $false
| ~ m2_relset_1(k6_partfun1(esk4_0),esk4_0,esk4_0) ),
inference(rw,[status(thm)],[7360,114,theory(equality)]) ).
cnf(7362,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[7361,56,theory(equality)]) ).
cnf(7363,negated_conjecture,
$false,
inference(cn,[status(thm)],[7362,theory(equality)]) ).
cnf(7364,negated_conjecture,
$false,
7363,
[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/SEU/SEU451+1.p
% --creating new selector for []
% -running prover on /tmp/tmpGJWQzq/sel_SEU451+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU451+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU451+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU451+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
%
%------------------------------------------------------------------------------