## TSTP Solution File: SEU163+1 by Faust---1.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU163+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:50:20 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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   :    4 (   0 sgn   2   !;   0   ?)

%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l50_zfmisc_1,plain,
! [A,B] :
( ~ in(A,B)
| subset(A,union(B)) ),
file('/tmp/SystemOnTPTP13152/SEU163+1.p',unknown),
[] ).

cnf(144386824,plain,
( ~ in(A,B)
| subset(A,union(B)) ),
inference(rewrite,[status(thm)],[l50_zfmisc_1]),
[] ).

fof(t92_zfmisc_1,plain,
( in(a,b)
& ~ subset(a,union(b)) ),
file('/tmp/SystemOnTPTP13152/SEU163+1.p',unknown),
[] ).

cnf(144382112,plain,
in(a,b),
inference(rewrite,[status(thm)],[t92_zfmisc_1]),
[] ).

cnf(154798536,plain,
subset(a,union(b)),
inference(resolution,[status(thm)],[144386824,144382112]),
[] ).

cnf(144373256,plain,
~ subset(a,union(b)),
inference(rewrite,[status(thm)],[t92_zfmisc_1]),
[] ).

\$false,
inference(resolution,[status(thm)],[154798536,144373256]),
[] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l50_zfmisc_1,plain,(~in(A,B)|subset(A,union(B))),file('/tmp/SystemOnTPTP13152/SEU163+1.p',unknown),[]).
%
% cnf(144386824,plain,(~in(A,B)|subset(A,union(B))),inference(rewrite,[status(thm)],[l50_zfmisc_1]),[]).
%
% fof(t92_zfmisc_1,plain,((in(a,b)&~subset(a,union(b)))),file('/tmp/SystemOnTPTP13152/SEU163+1.p',unknown),[]).
%
% cnf(144382112,plain,(in(a,b)),inference(rewrite,[status(thm)],[t92_zfmisc_1]),[]).
%
% cnf(154798536,plain,(subset(a,union(b))),inference(resolution,[status(thm)],[144386824,144382112]),[]).
%
% cnf(144373256,plain,(~subset(a,union(b))),inference(rewrite,[status(thm)],[t92_zfmisc_1]),[]).
%