%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ANA042-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 14 19:14:52 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_f(V_U,V_V),t_c),c_times(v_x,v_h(V_U,V_V),t_c),t_c) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(V_U),v_xb(V_U)),t_c),c_times(V_U,v_h(v_xa(V_U),v_xb(V_U)),t_c),t_c) ).

cnf(refute_0_0,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x),v_xb(v_x)),t_c),c_times(v_x,v_h(v_xa(v_x),v_xb(v_x)),t_c),t_c),
    inference(subst,[],[cls_conjecture_3:[bind(V_U,$fot(v_x))]]) ).

cnf(refute_0_1,plain,
    c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x),v_xb(v_x)),t_c),c_times(v_x,v_h(v_xa(v_x),v_xb(v_x)),t_c),t_c),
    inference(subst,[],[cls_conjecture_1:[bind(V_U,$fot(v_xa(v_x))),bind(V_V,$fot(v_xb(v_x)))]]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x),v_xb(v_x)),t_c),c_times(v_x,v_h(v_xa(v_x),v_xb(v_x)),t_c),t_c) )],[refute_0_1,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ANA042-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n022.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 : Fri Jul  8 05:35:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------