%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV277-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 : Wed Jul 20 20:30:50 EDT 2022

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__subset__parts_0,axiom,
    c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ).

cnf(cls_Message_OkeysFor__mono_0,axiom,
    ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat)) ) ).

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_2,negated_conjecture,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ).

cnf(refute_0_0,plain,
    ( ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(V_H)),c_Message_OkeysFor(c_Message_Oparts(V_H)),tc_set(tc_nat)) ),
    inference(subst,[],[cls_Message_OkeysFor__mono_0:[bind(V_G,$fot(c_Message_Oanalz(V_H))),bind(V_H,$fot(c_Message_Oparts(V_H)))]]) ).

cnf(refute_0_1,plain,
    c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(V_H)),c_Message_OkeysFor(c_Message_Oparts(V_H)),tc_set(tc_nat)),
    inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) )],[cls_Message_Oanalz__subset__parts_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ c_in(X_7,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)
    | ~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(V_H)),c_Message_OkeysFor(c_Message_Oparts(V_H)),tc_set(tc_nat))
    | c_in(X_7,c_Message_OkeysFor(c_Message_Oparts(V_H)),tc_nat) ),
    inference(subst,[],[cls_Set_OsubsetD_0:[bind(T_a,$fot(tc_nat)),bind(V_A,$fot(c_Message_OkeysFor(c_Message_Oanalz(V_H)))),bind(V_B,$fot(c_Message_OkeysFor(c_Message_Oparts(V_H)))),bind(V_c,$fot(X_7))]]) ).

cnf(refute_0_3,plain,
    ( ~ c_in(X_7,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)
    | c_in(X_7,c_Message_OkeysFor(c_Message_Oparts(V_H)),tc_nat) ),
    inference(resolve,[$cnf( c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(V_H)),c_Message_OkeysFor(c_Message_Oparts(V_H)),tc_set(tc_nat)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
    | c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
    inference(subst,[],[refute_0_3:[bind(V_H,$fot(v_H)),bind(X_7,$fot(v_K))]]) ).

cnf(refute_0_5,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    inference(resolve,[$cnf( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) )],[cls_conjecture_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) )],[refute_0_5,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV277-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 23:34:50 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  
% 0.14/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35  
%------------------------------------------------------------------------------