%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET045-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 03:31:46 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     :    9 (   5 unt;   3 nHn;   6 RR)
%            Number of literals    :   15 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   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   :    8 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_2,axiom,
    ( ~ element(X,f(Y))
    | ~ element(X,X) ) ).

cnf(clause_3,axiom,
    ( ~ element(X,Y)
    | element(X,X)
    | element(X,f(Y)) ) ).

cnf(clause_4,negated_conjecture,
    element(X,a) ).

cnf(refute_0_0,plain,
    element(X_6,a),
    inference(subst,[],[clause_4:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_1,plain,
    ( ~ element(X_6,a)
    | element(X_6,X_6)
    | element(X_6,f(a)) ),
    inference(subst,[],[clause_3:[bind(X,$fot(X_6)),bind(Y,$fot(a))]]) ).

cnf(refute_0_2,plain,
    ( element(X_6,X_6)
    | element(X_6,f(a)) ),
    inference(resolve,[$cnf( element(X_6,a) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    element(f(a),f(a)),
    inference(subst,[],[refute_0_2:[bind(X_6,$fot(f(a)))]]) ).

cnf(refute_0_4,plain,
    ~ element(f(a),f(a)),
    inference(subst,[],[clause_2:[bind(X,$fot(f(a))),bind(Y,$fot(a))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( element(f(a),f(a)) )],[refute_0_3,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET045-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 00:09:08 EDT 2022
% 0.13/0.34  % 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
% 0.13/0.35  
%------------------------------------------------------------------------------