%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN323-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 09:01:16 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   5 unt;   2 nHn;  10 RR)
%            Number of literals    :   21 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(X,a)
    | g(X,a) ) ).

cnf(clause2,negated_conjecture,
    ( ~ f(a,X)
    | g(X,a) ) ).

cnf(clause3,negated_conjecture,
    ( f(X,a)
    | ~ g(X,a) ) ).

cnf(clause4,negated_conjecture,
    ( ~ f(a,X)
    | ~ g(X,a) ) ).

cnf(refute_0_0,plain,
    ( ~ f(a,a)
    | ~ g(a,a) ),
    inference(subst,[],[clause4:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(a,a)
    | g(a,a) ),
    inference(subst,[],[clause2:[bind(X,$fot(a))]]) ).

cnf(refute_0_2,plain,
    ( f(X_4,a)
    | g(X_4,a) ),
    inference(subst,[],[clause1:[bind(X,$fot(X_4))]]) ).

cnf(refute_0_3,plain,
    ( ~ g(X_4,a)
    | f(X_4,a) ),
    inference(subst,[],[clause3:[bind(X,$fot(X_4))]]) ).

cnf(refute_0_4,plain,
    f(X_4,a),
    inference(resolve,[$cnf( g(X_4,a) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    f(a,a),
    inference(subst,[],[refute_0_4:[bind(X_4,$fot(a))]]) ).

cnf(refute_0_6,plain,
    g(a,a),
    inference(resolve,[$cnf( f(a,a) )],[refute_0_5,refute_0_1]) ).

cnf(refute_0_7,plain,
    ~ f(a,a),
    inference(resolve,[$cnf( g(a,a) )],[refute_0_6,refute_0_0]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( f(a,a) )],[refute_0_5,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN323-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 20:26:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------