%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN112-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 08:59:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
    n0(d,e) ).

cnf(rule_002,axiom,
    ( l1(G,G)
    | ~ n0(H,G) ) ).

cnf(rule_130,axiom,
    ( k2(e,e)
    | ~ l1(e,e) ) ).

cnf(prove_this,negated_conjecture,
    ~ k2(e,X) ).

cnf(refute_0_0,plain,
    ( ~ n0(d,e)
    | l1(e,e) ),
    inference(subst,[],[rule_002:[bind(G,$fot(e)),bind(H,$fot(d))]]) ).

cnf(refute_0_1,plain,
    l1(e,e),
    inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_0]) ).

cnf(refute_0_2,plain,
    ~ k2(e,e),
    inference(subst,[],[prove_this:[bind(X,$fot(e))]]) ).

cnf(refute_0_3,plain,
    ~ l1(e,e),
    inference(resolve,[$cnf( k2(e,e) )],[rule_130,refute_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( l1(e,e) )],[refute_0_1,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN112-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n027.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 05:25:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47  
%------------------------------------------------------------------------------