TSTP Solution File: SEU444+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU444+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 09:45:18 EST 2010
% Result : Theorem 10.85s
% Output : CNFRefutation 10.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 44 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 20 ~; 12 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2183,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k10_relset_1(X2,X1,X3,X2)) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k2_funct_5(X3)) ) ),
file('/tmp/tmpcQn_0D/sel_SEU444+2.p_1',t56_relset_2) ).
fof(2215,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/tmp/tmpcQn_0D/sel_SEU444+2.p_1',t51_relset_2) ).
fof(2230,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k10_relset_1(X2,X1,X3,X2)) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k2_funct_5(X3)) ) ),
inference(assume_negation,[status(cth)],[2183]) ).
fof(9209,negated_conjecture,
? [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
& ( k1_funct_5(X3) != k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
| k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k10_relset_1(X2,X1,X3,X2)) != k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k2_funct_5(X3)) ) ),
inference(fof_nnf,[status(thm)],[2230]) ).
fof(9210,negated_conjecture,
? [X4,X5,X6] :
( m2_relset_1(X6,X5,X4)
& ( k1_funct_5(X6) != k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),X4)
| k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),k10_relset_1(X5,X4,X6,X5)) != k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),k2_funct_5(X6)) ) ),
inference(variable_rename,[status(thm)],[9209]) ).
fof(9211,negated_conjecture,
( m2_relset_1(esk351_0,esk350_0,esk349_0)
& ( k1_funct_5(esk351_0) != k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),esk349_0)
| k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),k10_relset_1(esk350_0,esk349_0,esk351_0,esk350_0)) != k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),k2_funct_5(esk351_0)) ) ),
inference(skolemize,[status(esa)],[9210]) ).
cnf(9212,negated_conjecture,
( k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),k10_relset_1(esk350_0,esk349_0,esk351_0,esk350_0)) != k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),k2_funct_5(esk351_0))
| k1_funct_5(esk351_0) != k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),esk349_0) ),
inference(split_conjunct,[status(thm)],[9211]) ).
cnf(9213,negated_conjecture,
m2_relset_1(esk351_0,esk350_0,esk349_0),
inference(split_conjunct,[status(thm)],[9211]) ).
fof(9344,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X1)
| ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[2215]) ).
fof(9345,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X5,X4)
| ( k1_funct_5(X6) = k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),X4)
& k2_funct_5(X6) = k10_relset_1(X5,X4,X6,X5) ) ),
inference(variable_rename,[status(thm)],[9344]) ).
fof(9346,plain,
! [X4,X5,X6] :
( ( k1_funct_5(X6) = k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),X4)
| ~ m2_relset_1(X6,X5,X4) )
& ( k2_funct_5(X6) = k10_relset_1(X5,X4,X6,X5)
| ~ m2_relset_1(X6,X5,X4) ) ),
inference(distribute,[status(thm)],[9345]) ).
cnf(9347,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[9346]) ).
cnf(9348,plain,
( k1_funct_5(X1) = k10_relset_1(X3,X2,k6_relset_1(X2,X3,X1),X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[9346]) ).
cnf(12351,negated_conjecture,
( k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),esk349_0) != k1_funct_5(esk351_0)
| ~ m2_relset_1(esk351_0,esk350_0,esk349_0) ),
inference(spm,[status(thm)],[9212,9347,theory(equality)]) ).
cnf(12352,negated_conjecture,
( k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),esk349_0) != k1_funct_5(esk351_0)
| $false ),
inference(rw,[status(thm)],[12351,9213,theory(equality)]) ).
cnf(12353,negated_conjecture,
k10_relset_1(esk349_0,esk350_0,k6_relset_1(esk350_0,esk349_0,esk351_0),esk349_0) != k1_funct_5(esk351_0),
inference(cn,[status(thm)],[12352,theory(equality)]) ).
cnf(84628,negated_conjecture,
~ m2_relset_1(esk351_0,esk350_0,esk349_0),
inference(spm,[status(thm)],[12353,9348,theory(equality)]) ).
cnf(84630,negated_conjecture,
$false,
inference(rw,[status(thm)],[84628,9213,theory(equality)]) ).
cnf(84631,negated_conjecture,
$false,
inference(cn,[status(thm)],[84630,theory(equality)]) ).
cnf(84632,negated_conjecture,
$false,
84631,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU444+2.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+6.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+13.ax, SET007+14.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+20.ax, SET007+22.ax, SET007+24.ax, SET007+26.ax, SET007+31.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+64.ax, SET007+80.ax, SET007+117.ax, SET007+126.ax, SET007+188.ax, SET007+200.ax, SET007+210.ax, SET007+212.ax, SET007+213.ax, SET007+225.ax, SET007+363.ax, SET007+393.ax, SET007+441.ax]
% -running prover on /tmp/tmpcQn_0D/sel_SEU444+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU444+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU444+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU444+2.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
%
%------------------------------------------------------------------------------