%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 09:01:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.34s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   3 unt;   5 nHn;   6 RR)
%            Number of literals    :   21 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   18 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(Y)
    | g(X) ) ).

cnf(clause5,negated_conjecture,
    ( ~ f(X)
    | h(X) ) ).

cnf(clause6,negated_conjecture,
    ( ~ g(X)
    | h(X) ) ).

cnf(clause7,negated_conjecture,
    ~ h(z2(X,Y)) ).

cnf(refute_0_0,plain,
    ( ~ g(X_9)
    | h(X_9) ),
    inference(subst,[],[clause6:[bind(X,$fot(X_9))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(X_6)
    | h(X_6) ),
    inference(subst,[],[clause5:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_2,plain,
    ( f(X_6)
    | g(X_5) ),
    inference(subst,[],[clause1:[bind(X,$fot(X_5)),bind(Y,$fot(X_6))]]) ).

cnf(refute_0_3,plain,
    ( g(X_5)
    | h(X_6) ),
    inference(resolve,[$cnf( f(X_6) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    ( g(X_9)
    | h(X_10) ),
    inference(subst,[],[refute_0_3:[bind(X_5,$fot(X_9)),bind(X_6,$fot(X_10))]]) ).

cnf(refute_0_5,plain,
    ( h(X_10)
    | h(X_9) ),
    inference(resolve,[$cnf( g(X_9) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    h(z2(X,Y)),
    inference(subst,[],[refute_0_5:[bind(X_10,$fot(z2(X,Y))),bind(X_9,$fot(z2(X,Y)))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( h(z2(X,Y)) )],[refute_0_6,clause7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 15:46:17 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34  
% 0.18/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.34  
%------------------------------------------------------------------------------