%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS012-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 03:18:25 EDT 2022

% Result   : Unsatisfiable 0.20s 0.35s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   22 (   6 unt;  10 nHn;  19 RR)
%            Number of literals    :   51 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

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

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

cnf(clause_3,axiom,
    ( e(X3)
    | ~ c(X1)
    | ~ r(X1,X3)
    | ~ d(X3) ) ).

cnf(clause_4,axiom,
    ( d(X2)
    | ~ c(X1)
    | ~ r(X1,X2) ) ).

cnf(clause_12,axiom,
    ( f(X1)
    | ~ e(u1r1(X1)) ) ).

cnf(clause_13,axiom,
    ( f(X1)
    | r(X1,u1r1(X1)) ) ).

cnf(refute_0_0,plain,
    ( ~ e(u1r1(exists))
    | f(exists) ),
    inference(subst,[],[clause_12:[bind(X1,$fot(exists))]]) ).

cnf(refute_0_1,plain,
    ( f(X_8)
    | r(X_8,u1r1(X_8)) ),
    inference(subst,[],[clause_13:[bind(X1,$fot(X_8))]]) ).

cnf(refute_0_2,plain,
    ( ~ c(X_8)
    | ~ r(X_8,u1r1(X_8))
    | d(u1r1(X_8)) ),
    inference(subst,[],[clause_4:[bind(X1,$fot(X_8)),bind(X2,$fot(u1r1(X_8)))]]) ).

cnf(refute_0_3,plain,
    ( ~ c(X_8)
    | d(u1r1(X_8))
    | f(X_8) ),
    inference(resolve,[$cnf( r(X_8,u1r1(X_8)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ c(exists)
    | d(u1r1(exists))
    | f(exists) ),
    inference(subst,[],[refute_0_3:[bind(X_8,$fot(exists))]]) ).

cnf(refute_0_5,plain,
    ( d(u1r1(exists))
    | f(exists) ),
    inference(resolve,[$cnf( c(exists) )],[clause_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    d(u1r1(exists)),
    inference(resolve,[$cnf( f(exists) )],[refute_0_5,clause_2]) ).

cnf(refute_0_7,plain,
    ( f(X_14)
    | r(X_14,u1r1(X_14)) ),
    inference(subst,[],[clause_13:[bind(X1,$fot(X_14))]]) ).

cnf(refute_0_8,plain,
    ( ~ c(X_14)
    | ~ d(u1r1(X_14))
    | ~ r(X_14,u1r1(X_14))
    | e(u1r1(X_14)) ),
    inference(subst,[],[clause_3:[bind(X1,$fot(X_14)),bind(X3,$fot(u1r1(X_14)))]]) ).

cnf(refute_0_9,plain,
    ( ~ c(X_14)
    | ~ d(u1r1(X_14))
    | e(u1r1(X_14))
    | f(X_14) ),
    inference(resolve,[$cnf( r(X_14,u1r1(X_14)) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ c(exists)
    | ~ d(u1r1(exists))
    | e(u1r1(exists))
    | f(exists) ),
    inference(subst,[],[refute_0_9:[bind(X_14,$fot(exists))]]) ).

cnf(refute_0_11,plain,
    ( ~ c(exists)
    | e(u1r1(exists))
    | f(exists) ),
    inference(resolve,[$cnf( d(u1r1(exists)) )],[refute_0_6,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( e(u1r1(exists))
    | f(exists) ),
    inference(resolve,[$cnf( c(exists) )],[clause_1,refute_0_11]) ).

cnf(refute_0_13,plain,
    e(u1r1(exists)),
    inference(resolve,[$cnf( f(exists) )],[refute_0_12,clause_2]) ).

cnf(refute_0_14,plain,
    f(exists),
    inference(resolve,[$cnf( e(u1r1(exists)) )],[refute_0_13,refute_0_0]) ).

cnf(refute_0_15,plain,
    $false,
    inference(resolve,[$cnf( f(exists) )],[refute_0_14,clause_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS012-1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n019.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 Jun  7 08:26:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  
% 0.20/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.36  
%------------------------------------------------------------------------------