%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN061-1 : 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 : Thu Jul 21 08:59:07 EDT 2022

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   5 unt;   2 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_2,axiom,
    ( ~ big_f(X)
    | ~ big_h(X) ) ).

cnf(clause_3,axiom,
    big_i(a) ).

cnf(clause_4,axiom,
    big_f(a) ).

cnf(clause_5,axiom,
    ( big_h(X)
    | big_j(X) ) ).

cnf(clause_6,negated_conjecture,
    ( ~ big_i(X)
    | ~ big_j(X) ) ).

cnf(refute_0_0,plain,
    ( ~ big_f(a)
    | ~ big_h(a) ),
    inference(subst,[],[clause_2:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ big_i(X_2)
    | ~ big_j(X_2) ),
    inference(subst,[],[clause_6:[bind(X,$fot(X_2))]]) ).

cnf(refute_0_2,plain,
    ( big_h(X_2)
    | big_j(X_2) ),
    inference(subst,[],[clause_5:[bind(X,$fot(X_2))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_i(X_2)
    | big_h(X_2) ),
    inference(resolve,[$cnf( big_j(X_2) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    ( ~ big_i(a)
    | big_h(a) ),
    inference(subst,[],[refute_0_3:[bind(X_2,$fot(a))]]) ).

cnf(refute_0_5,plain,
    big_h(a),
    inference(resolve,[$cnf( big_i(a) )],[clause_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ big_f(a),
    inference(resolve,[$cnf( big_h(a) )],[refute_0_5,refute_0_0]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( big_f(a) )],[clause_4,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : SYN061-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 12:01:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  
% 0.14/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35  
%------------------------------------------------------------------------------