%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN331-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 09:01:23 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (   6 unt;   3 nHn;   5 RR)
%            Number of literals    :   16 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   20 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause3,negated_conjecture,
    ( f(X,Y)
    | ~ f(z(X,Y),z(X,Y)) ) ).

cnf(clause5,negated_conjecture,
    ( f(Y,X)
    | f(z(X,Y),z(X,Y)) ) ).

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

cnf(refute_0_0,plain,
    ~ f(z(X,X_24),X_24),
    inference(subst,[],[clause7:[bind(Y,$fot(X_24))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(z(X_20,X_21),z(X_20,X_21))
    | f(X_20,X_21) ),
    inference(subst,[],[clause3:[bind(X,$fot(X_20)),bind(Y,$fot(X_21))]]) ).

cnf(refute_0_2,plain,
    ( f(X_21,X_20)
    | f(z(X_20,X_21),z(X_20,X_21)) ),
    inference(subst,[],[clause5:[bind(X,$fot(X_20)),bind(Y,$fot(X_21))]]) ).

cnf(refute_0_3,plain,
    ( f(X_20,X_21)
    | f(X_21,X_20) ),
    inference(resolve,[$cnf( f(z(X_20,X_21),z(X_20,X_21)) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    f(z(X,Y),z(X,Y)),
    inference(subst,[],[refute_0_3:[bind(X_20,$fot(z(X,Y))),bind(X_21,$fot(z(X,Y)))]]) ).

cnf(refute_0_5,plain,
    f(X,Y),
    inference(resolve,[$cnf( f(z(X,Y),z(X,Y)) )],[refute_0_4,clause3]) ).

cnf(refute_0_6,plain,
    f(z(X,X_24),X_24),
    inference(subst,[],[refute_0_5:[bind(X,$fot(z(X,X_24))),bind(Y,$fot(X_24))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( f(z(X,X_24),X_24) )],[refute_0_6,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN331-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 22:56:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------