%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 08:58:31 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   12 (   5 unt;   4 nHn;  10 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,axiom,
    ( g(A,a)
    | g(f(A),A) ) ).

cnf(clause2,axiom,
    ( g(A,a)
    | g(A,f(A)) ) ).

cnf(theorem,negated_conjecture,
    ( ~ g(A,B)
    | ~ g(B,a) ) ).

cnf(refute_0_0,plain,
    ( g(a,a)
    | g(a,f(a)) ),
    inference(subst,[],[clause2:[bind(A,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( g(a,a)
    | g(f(a),a) ),
    inference(subst,[],[clause1:[bind(A,$fot(a))]]) ).

cnf(refute_0_2,plain,
    ( ~ g(X_2,f(a))
    | ~ g(f(a),a) ),
    inference(subst,[],[theorem:[bind(A,$fot(X_2)),bind(B,$fot(f(a)))]]) ).

cnf(refute_0_3,plain,
    ( ~ g(X_2,f(a))
    | g(a,a) ),
    inference(resolve,[$cnf( g(f(a),a) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ~ g(a,a),
    inference(subst,[],[theorem:[bind(A,$fot(a)),bind(B,$fot(a))]]) ).

cnf(refute_0_5,plain,
    ~ g(X_2,f(a)),
    inference(resolve,[$cnf( g(a,a) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ g(a,f(a)),
    inference(subst,[],[refute_0_5:[bind(X_2,$fot(a))]]) ).

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

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( g(a,a) )],[refute_0_7,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n023.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 : Mon Jul 11 20:11:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34  
%------------------------------------------------------------------------------