## TSTP Solution File: SEU163+1 by SInE---0.4

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU163+1 : TPTP v5.0.0. Released v3.3.0.
% 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 04:57:54 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   9   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn  10   !;   4   ?)

%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/tmp/tmpPVHKvR/sel_SEU163+1.p_1',t92_zfmisc_1) ).

fof(4,axiom,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/tmp/tmpPVHKvR/sel_SEU163+1.p_1',l50_zfmisc_1) ).

fof(6,negated_conjecture,
~ ! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
inference(assume_negation,[status(cth)],[1]) ).

fof(8,negated_conjecture,
? [X1,X2] :
( in(X1,X2)
& ~ subset(X1,union(X2)) ),
inference(fof_nnf,[status(thm)],[6]) ).

fof(9,negated_conjecture,
? [X3,X4] :
( in(X3,X4)
& ~ subset(X3,union(X4)) ),
inference(variable_rename,[status(thm)],[8]) ).

fof(10,negated_conjecture,
( in(esk1_0,esk2_0)
& ~ subset(esk1_0,union(esk2_0)) ),
inference(skolemize,[status(esa)],[9]) ).

cnf(11,negated_conjecture,
~ subset(esk1_0,union(esk2_0)),
inference(split_conjunct,[status(thm)],[10]) ).

cnf(12,negated_conjecture,
in(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[10]) ).

fof(17,plain,
! [X1,X2] :
( ~ in(X1,X2)
| subset(X1,union(X2)) ),
inference(fof_nnf,[status(thm)],[4]) ).

fof(18,plain,
! [X3,X4] :
( ~ in(X3,X4)
| subset(X3,union(X4)) ),
inference(variable_rename,[status(thm)],[17]) ).

cnf(19,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[18]) ).

cnf(23,negated_conjecture,
~ in(esk1_0,esk2_0),
inference(spm,[status(thm)],[11,19,theory(equality)]) ).

cnf(24,negated_conjecture,
\$false,
inference(rw,[status(thm)],[23,12,theory(equality)]) ).

cnf(25,negated_conjecture,
\$false,
inference(cn,[status(thm)],[24,theory(equality)]) ).

cnf(26,negated_conjecture,
\$false,
25,
[proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU163+1.p
% --creating new selector for []
% -running prover on /tmp/tmpPVHKvR/sel_SEU163+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU163+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU163+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU163+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
%
%------------------------------------------------------------------------------
```