%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET818-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 : Tue Jul 19 03:37:24 EDT 2022

% Result   : Unsatisfiable 0.72s 0.87s
% Output   : CNFRefutation 0.72s
% 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    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OemptyE_0,axiom,
    ~ c_in(V_a,c_emptyset,T_a) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_x(V_U),V_U,tc_IntDef_Oint) ).

cnf(refute_0_0,plain,
    ~ c_in(v_x(c_emptyset),c_emptyset,tc_IntDef_Oint),
    inference(subst,[],[cls_Set_OemptyE_0:[bind(T_a,$fot(tc_IntDef_Oint)),bind(V_a,$fot(v_x(c_emptyset)))]]) ).

cnf(refute_0_1,plain,
    c_in(v_x(c_emptyset),c_emptyset,tc_IntDef_Oint),
    inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_emptyset))]]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( c_in(v_x(c_emptyset),c_emptyset,tc_IntDef_Oint) )],[refute_0_1,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET818-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 11:05:43 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.72/0.87  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.87  
% 0.72/0.87  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.72/0.87  
%------------------------------------------------------------------------------