%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS017-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Sun Jul 17 03:18:27 EDT 2022

% Result   : Unsatisfiable 0.22s 0.36s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   5 unt;   0 nHn;  10 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    e(exists) ).

cnf(clause_2,negated_conjecture,
    ~ a(exists) ).

cnf(clause_3,axiom,
    ( r(X1,u0r3(X1))
    | ~ e(X1) ) ).

cnf(clause_4,axiom,
    ( a(X3)
    | ~ e(X1)
    | ~ r(X1,X2)
    | ~ r(X3,X2) ) ).

cnf(refute_0_0,plain,
    ( ~ e(exists)
    | r(exists,u0r3(exists)) ),
    inference(subst,[],[clause_3:[bind(X1,$fot(exists))]]) ).

cnf(refute_0_1,plain,
    r(exists,u0r3(exists)),
    inference(resolve,[$cnf( e(exists) )],[clause_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ e(exists)
    | ~ r(exists,u0r3(exists))
    | a(exists) ),
    inference(subst,[],[clause_4:[bind(X1,$fot(exists)),bind(X2,$fot(u0r3(exists))),bind(X3,$fot(exists))]]) ).

cnf(refute_0_3,plain,
    ( ~ e(exists)
    | a(exists) ),
    inference(resolve,[$cnf( r(exists,u0r3(exists)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    a(exists),
    inference(resolve,[$cnf( e(exists) )],[clause_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( a(exists) )],[refute_0_4,clause_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : KRS017-1 : TPTP v8.1.0. Released v2.0.0.
% 0.15/0.14  % Command  : metis --show proof --show saturation %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue Jun  7 13:51:36 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36  
% 0.22/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.36  
%------------------------------------------------------------------------------