%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n009.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 08:59:33 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   8 unt;   0 nHn;  17 RR)
%            Number of literals    :   31 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(m_s2_goal_1,negated_conjecture,
    ~ p_1_3(X) ).

cnf(m_s2_type11_1,axiom,
    ( p_1_2(X)
    | ~ p_2_2(X)
    | ~ p_1_1(X) ) ).

cnf(m_s2_type11_3,axiom,
    ( p_1_3(X)
    | ~ p_2_3(X)
    | ~ p_1_2(X) ) ).

cnf(m_s2_type11_5,axiom,
    ( p_2_3(X)
    | ~ p_3_3(X)
    | ~ p_2_2(X) ) ).

cnf(m_t2_1,axiom,
    p_1_1(a) ).

cnf(m_t2_3,axiom,
    p_2_2(a) ).

cnf(m_t2_5,axiom,
    p_3_3(a) ).

cnf(refute_0_0,plain,
    ( ~ p_2_2(a)
    | ~ p_3_3(a)
    | p_2_3(a) ),
    inference(subst,[],[m_s2_type11_5:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ p_2_2(a)
    | p_2_3(a) ),
    inference(resolve,[$cnf( p_3_3(a) )],[m_t2_5,refute_0_0]) ).

cnf(refute_0_2,plain,
    p_2_3(a),
    inference(resolve,[$cnf( p_2_2(a) )],[m_t2_3,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p_1_2(X)
    | ~ p_2_3(X) ),
    inference(resolve,[$cnf( p_1_3(X) )],[m_s2_type11_3,m_s2_goal_1]) ).

cnf(refute_0_4,plain,
    ( ~ p_1_2(a)
    | ~ p_2_3(a) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(a))]]) ).

cnf(refute_0_5,plain,
    ~ p_1_2(a),
    inference(resolve,[$cnf( p_2_3(a) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p_1_1(a)
    | ~ p_2_2(a)
    | p_1_2(a) ),
    inference(subst,[],[m_s2_type11_1:[bind(X,$fot(a))]]) ).

cnf(refute_0_7,plain,
    ( ~ p_1_1(a)
    | p_1_2(a) ),
    inference(resolve,[$cnf( p_2_2(a) )],[m_t2_3,refute_0_6]) ).

cnf(refute_0_8,plain,
    p_1_2(a),
    inference(resolve,[$cnf( p_1_1(a) )],[m_t2_1,refute_0_7]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( p_1_2(a) )],[refute_0_8,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 22:23:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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  
%------------------------------------------------------------------------------