%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 08:58:59 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   5 unt;   2 nHn;   7 RR)
%            Number of literals    :   17 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( p
    | ~ big_f(X) ) ).

cnf(clause_2,negated_conjecture,
    ( big_f(X)
    | ~ p ) ).

cnf(clause_3,negated_conjecture,
    ( big_f(Y)
    | p ) ).

cnf(clause_4,negated_conjecture,
    ( ~ p
    | ~ big_f(a) ) ).

cnf(refute_0_0,plain,
    ( ~ big_f(X_1)
    | p ),
    inference(subst,[],[clause_1:[bind(X,$fot(X_1))]]) ).

cnf(refute_0_1,plain,
    ( big_f(X_1)
    | p ),
    inference(subst,[],[clause_3:[bind(Y,$fot(X_1))]]) ).

cnf(refute_0_2,plain,
    p,
    inference(resolve,[$cnf( big_f(X_1) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    big_f(X),
    inference(resolve,[$cnf( p )],[refute_0_2,clause_2]) ).

cnf(refute_0_4,plain,
    big_f(a),
    inference(subst,[],[refute_0_3:[bind(X,$fot(a))]]) ).

cnf(refute_0_5,plain,
    ~ p,
    inference(resolve,[$cnf( big_f(a) )],[refute_0_4,clause_4]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( p )],[refute_0_2,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.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 : Tue Jul 12 00:37:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------