## TSTP Solution File: SYN053-1 by Metis---2.4

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 : Thu Jul 21 08:59:00 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   5 unt;   2 nHn;   6 RR)
%            Number of literals    :   12 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   4 sgn)

%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( p
| big_f(X)
| big_f(Y) ) ).

cnf(clause_3,negated_conjecture,
~ p ).

cnf(clause_5,negated_conjecture,
( ~ big_f(a)
| ~ big_f(b) ) ).

cnf(refute_0_0,plain,
( big_f(X)
| big_f(Y) ),
inference(resolve,[\$cnf( p )],[clause_1,clause_3]) ).

cnf(refute_0_1,plain,
big_f(a),
inference(subst,[],[refute_0_0:[bind(X,\$fot(a)),bind(Y,\$fot(a))]]) ).

cnf(refute_0_2,plain,
~ big_f(b),
inference(resolve,[\$cnf( big_f(a) )],[refute_0_1,clause_5]) ).

cnf(refute_0_3,plain,
big_f(b),
inference(subst,[],[refute_0_0:[bind(X,\$fot(b)),bind(Y,\$fot(b))]]) ).

cnf(refute_0_4,plain,
\$false,
inference(resolve,[\$cnf( big_f(b) )],[refute_0_3,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 02:24:09 EDT 2022
% 0.13/0.33  % CPUTime  :
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------
```