%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN234-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:00:37 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   8 unt;   0 nHn;  17 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_13,axiom,
    r0(e) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(axiom_28,axiom,
    k0(e) ).

cnf(rule_021,axiom,
    ( m1(I,J,I)
    | ~ l0(I)
    | ~ k0(J) ) ).

cnf(rule_176,axiom,
    ( p2(D,E,D)
    | ~ m1(E,D,E) ) ).

cnf(rule_215,axiom,
    ( l3(G,H)
    | ~ r0(G)
    | ~ p2(G,H,G) ) ).

cnf(prove_this,negated_conjecture,
    ~ l3(e,a) ).

cnf(refute_0_0,plain,
    ( ~ m1(a,e,a)
    | p2(e,a,e) ),
    inference(subst,[],[rule_176:[bind(D,$fot(e)),bind(E,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ k0(X_171)
    | ~ l0(a)
    | m1(a,X_171,a) ),
    inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_171))]]) ).

cnf(refute_0_2,plain,
    ( ~ k0(X_171)
    | m1(a,X_171,a) ),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ k0(e)
    | m1(a,e,a) ),
    inference(subst,[],[refute_0_2:[bind(X_171,$fot(e))]]) ).

cnf(refute_0_4,plain,
    m1(a,e,a),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_3]) ).

cnf(refute_0_5,plain,
    p2(e,a,e),
    inference(resolve,[$cnf( m1(a,e,a) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    ( ~ p2(e,a,e)
    | ~ r0(e)
    | l3(e,a) ),
    inference(subst,[],[rule_215:[bind(G,$fot(e)),bind(H,$fot(a))]]) ).

cnf(refute_0_7,plain,
    ( ~ r0(e)
    | l3(e,a) ),
    inference(resolve,[$cnf( p2(e,a,e) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    l3(e,a),
    inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_7]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( l3(e,a) )],[refute_0_8,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN234-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon Jul 11 22:21:47 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.45  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  
% 0.18/0.45  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46  
%------------------------------------------------------------------------------