%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET828-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 03:37:32 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   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;   4 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
    ( ~ c_in(V_c,V_A,T_a)
    | ~ c_lessequals(V_A,V_B,tc_set(T_a))
    | c_in(V_c,V_B,T_a) ) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_X,v_Y,tc_set(t_a)) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_x,v_X,t_a) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a) ).

cnf(refute_0_0,plain,
    ( ~ c_in(X_3,v_X,t_a)
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | c_in(X_3,v_Y,t_a) ),
    inference(subst,[],[cls_Set_OsubsetD_0:[bind(T_a,$fot(t_a)),bind(V_A,$fot(v_X)),bind(V_B,$fot(v_Y)),bind(V_c,$fot(X_3))]]) ).

cnf(refute_0_1,plain,
    ( ~ c_in(X_3,v_X,t_a)
    | c_in(X_3,v_Y,t_a) ),
    inference(resolve,[$cnf( c_lessequals(v_X,v_Y,tc_set(t_a)) )],[cls_conjecture_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ c_in(v_x,v_X,t_a)
    | c_in(v_x,v_Y,t_a) ),
    inference(subst,[],[refute_0_1:[bind(X_3,$fot(v_x))]]) ).

cnf(refute_0_3,plain,
    c_in(v_x,v_Y,t_a),
    inference(resolve,[$cnf( c_in(v_x,v_X,t_a) )],[cls_conjecture_2,refute_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( c_in(v_x,v_Y,t_a) )],[refute_0_3,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET828-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 17:06:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------