%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN326-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 09:01:18 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (   8 unt;   2 nHn;   7 RR)
%            Number of literals    :   20 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   13 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
    ( g(y(X))
    | f(X,X) ) ).

cnf(clause3,negated_conjecture,
    ( ~ h(X)
    | f(X,X) ) ).

cnf(clause5,negated_conjecture,
    ( ~ g(X)
    | h(z(X)) ) ).

cnf(clause7,negated_conjecture,
    ~ f(z(X),z(X)) ).

cnf(refute_0_0,plain,
    ( ~ h(z(y(z(X_6))))
    | f(z(y(z(X_6))),z(y(z(X_6)))) ),
    inference(subst,[],[clause3:[bind(X,$fot(z(y(z(X_6)))))]]) ).

cnf(refute_0_1,plain,
    ( ~ g(y(z(X_5)))
    | h(z(y(z(X_5)))) ),
    inference(subst,[],[clause5:[bind(X,$fot(y(z(X_5))))]]) ).

cnf(refute_0_2,plain,
    ( f(z(X),z(X))
    | g(y(z(X))) ),
    inference(subst,[],[clause2:[bind(X,$fot(z(X)))]]) ).

cnf(refute_0_3,plain,
    g(y(z(X))),
    inference(resolve,[$cnf( f(z(X),z(X)) )],[refute_0_2,clause7]) ).

cnf(refute_0_4,plain,
    g(y(z(X_5))),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_5))]]) ).

cnf(refute_0_5,plain,
    h(z(y(z(X_5)))),
    inference(resolve,[$cnf( g(y(z(X_5))) )],[refute_0_4,refute_0_1]) ).

cnf(refute_0_6,plain,
    h(z(y(z(X_6)))),
    inference(subst,[],[refute_0_5:[bind(X_5,$fot(X_6))]]) ).

cnf(refute_0_7,plain,
    f(z(y(z(X_6))),z(y(z(X_6)))),
    inference(resolve,[$cnf( h(z(y(z(X_6)))) )],[refute_0_6,refute_0_0]) ).

cnf(refute_0_8,plain,
    ~ f(z(y(z(X_6))),z(y(z(X_6)))),
    inference(subst,[],[clause7:[bind(X,$fot(y(z(X_6))))]]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( f(z(y(z(X_6))),z(y(z(X_6)))) )],[refute_0_7,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN326-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n024.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 04:17:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------