%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL432-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 12:52:12 EDT 2022

% Result   : Unsatisfiable 39.66s 39.85s
% Output   : CNFRefutation 39.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_PropLog_Ocompleteness__0_0,axiom,
    ( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
    | c_in(V_p,c_PropLog_Othms(c_emptyset,T_a),tc_PropLog_Opl(T_a)) ) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_PropLog_Osat(c_emptyset,v_x,t_a) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ).

cnf(refute_0_0,plain,
    ( ~ c_PropLog_Osat(c_emptyset,v_x,t_a)
    | c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
    inference(subst,[],[cls_PropLog_Ocompleteness__0_0:[bind(T_a,$fot(t_a)),bind(V_p,$fot(v_x))]]) ).

cnf(refute_0_1,plain,
    c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    inference(resolve,[$cnf( c_PropLog_Osat(c_emptyset,v_x,t_a) )],[cls_conjecture_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_1,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL432-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.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 : Sun Jul  3 16:11:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 39.66/39.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.66/39.85  
% 39.66/39.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 39.66/39.85  
%------------------------------------------------------------------------------