%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN062-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.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 08:59:08 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (   7 unt;   0 nHn;  15 RR)
%            Number of literals    :   27 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

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

cnf(clause_3,axiom,
    ( ~ big_i(X)
    | ~ big_h(X)
    | big_j(X) ) ).

cnf(clause_4,axiom,
    ( ~ big_k(X)
    | big_h(X) ) ).

cnf(clause_5,negated_conjecture,
    big_f(a) ).

cnf(clause_6,negated_conjecture,
    big_k(a) ).

cnf(clause_7,negated_conjecture,
    ~ big_j(a) ).

cnf(refute_0_0,plain,
    ( ~ big_k(a)
    | big_h(a) ),
    inference(subst,[],[clause_4:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    big_h(a),
    inference(resolve,[$cnf( big_k(a) )],[clause_6,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ big_f(a)
    | ~ big_h(a)
    | big_i(a) ),
    inference(subst,[],[clause_2:[bind(X,$fot(a))]]) ).

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

cnf(refute_0_4,plain,
    big_i(a),
    inference(resolve,[$cnf( big_f(a) )],[clause_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ big_h(a)
    | ~ big_i(a)
    | big_j(a) ),
    inference(subst,[],[clause_3:[bind(X,$fot(a))]]) ).

cnf(refute_0_6,plain,
    ( ~ big_h(a)
    | big_j(a) ),
    inference(resolve,[$cnf( big_i(a) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    big_j(a),
    inference(resolve,[$cnf( big_h(a) )],[refute_0_1,refute_0_6]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( big_j(a) )],[refute_0_7,clause_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN062-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n007.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 02:59:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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  
%------------------------------------------------------------------------------