## TSTP Solution File: SEU163+1 by Metis---2.4

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 12:38:56 EDT 2022

% Result   : Theorem 0.16s 0.37s
% Output   : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   2 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   14 (   0 sgn  12   !;   2   ?)

%------------------------------------------------------------------------------
fof(t92_zfmisc_1,conjecture,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ) ).

fof(l50_zfmisc_1,axiom,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ) ).

fof(subgoal_0,plain,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
inference(strip,[],[t92_zfmisc_1]) ).

fof(negate_0_0,plain,
~ ! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
? [A,B] :
( ~ subset(A,union(B))
& in(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
! [A,B] :
( ~ in(A,B)
| subset(A,union(B)) ),
inference(canonicalize,[],[l50_zfmisc_1]) ).

fof(normalize_0_2,plain,
! [A,B] :
( ~ in(A,B)
| subset(A,union(B)) ),
inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
\$false,
inference(simplify,[],[normalize_0_0,normalize_0_2]) ).

cnf(refute_0_0,plain,
\$false,
inference(canonicalize,[],[normalize_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.15  % Command  : metis --show proof --show saturation %s
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Sun Jun 19 00:39:08 EDT 2022
% 0.16/0.36  % CPUTime  :
% 0.16/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.16/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37
% 0.16/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.16/0.37
%------------------------------------------------------------------------------
```