%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN321-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 09:01:15 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   5 unt;   2 nHn;   8 RR)
%            Number of literals    :   19 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( ~ f(a,Z)
    | g(a,U) ) ).

cnf(clause2,negated_conjecture,
    ( ~ g(U,U)
    | f(U,b) ) ).

cnf(clause3,negated_conjecture,
    ( f(a,b)
    | g(a,U) ) ).

cnf(clause4,negated_conjecture,
    ( ~ f(a,b)
    | ~ g(a,d) ) ).

cnf(refute_0_0,plain,
    ( ~ g(a,a)
    | f(a,b) ),
    inference(subst,[],[clause2:[bind(U,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( f(a,b)
    | g(a,a) ),
    inference(subst,[],[clause3:[bind(U,$fot(a))]]) ).

cnf(refute_0_2,plain,
    f(a,b),
    inference(resolve,[$cnf( g(a,a) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ( ~ f(a,b)
    | g(a,X_2) ),
    inference(subst,[],[clause1:[bind(U,$fot(X_2)),bind(Z,$fot(b))]]) ).

cnf(refute_0_4,plain,
    g(a,X_2),
    inference(resolve,[$cnf( f(a,b) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    g(a,d),
    inference(subst,[],[refute_0_4:[bind(X_2,$fot(d))]]) ).

cnf(refute_0_6,plain,
    ~ f(a,b),
    inference(resolve,[$cnf( g(a,d) )],[refute_0_5,clause4]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( f(a,b) )],[refute_0_2,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN321-1 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul 11 15:02:28 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.37  
%------------------------------------------------------------------------------