%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN058-1 : 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 08:59:05 EDT 2022

% Result   : Unsatisfiable 0.19s 0.34s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   24 (   0 equ;  10 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    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ big_p(X)
    | big_q(Y) ) ).

cnf(clause_3,axiom,
    ( ~ big_q(b)
    | big_s(c) ) ).

cnf(clause_6,axiom,
    ( ~ big_s(Y)
    | ~ big_f(X)
    | big_g(X) ) ).

cnf(clause_7,negated_conjecture,
    big_p(d) ).

cnf(clause_8,negated_conjecture,
    big_f(d) ).

cnf(clause_9,negated_conjecture,
    ~ big_g(d) ).

cnf(refute_0_0,plain,
    ( ~ big_p(d)
    | big_q(X_1) ),
    inference(subst,[],[clause_1:[bind(X,$fot(d)),bind(Y,$fot(X_1))]]) ).

cnf(refute_0_1,plain,
    big_q(X_1),
    inference(resolve,[$cnf( big_p(d) )],[clause_7,refute_0_0]) ).

cnf(refute_0_2,plain,
    big_q(b),
    inference(subst,[],[refute_0_1:[bind(X_1,$fot(b))]]) ).

cnf(refute_0_3,plain,
    big_s(c),
    inference(resolve,[$cnf( big_q(b) )],[refute_0_2,clause_3]) ).

cnf(refute_0_4,plain,
    ( ~ big_f(X_3)
    | ~ big_s(c)
    | big_g(X_3) ),
    inference(subst,[],[clause_6:[bind(X,$fot(X_3)),bind(Y,$fot(c))]]) ).

cnf(refute_0_5,plain,
    ( ~ big_f(X_3)
    | big_g(X_3) ),
    inference(resolve,[$cnf( big_s(c) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ big_f(d)
    | big_g(d) ),
    inference(subst,[],[refute_0_5:[bind(X_3,$fot(d))]]) ).

cnf(refute_0_7,plain,
    big_g(d),
    inference(resolve,[$cnf( big_f(d) )],[clause_8,refute_0_6]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( big_g(d) )],[refute_0_7,clause_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n014.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 13:50:49 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  
% 0.19/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.34  
%------------------------------------------------------------------------------