%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV331-2 : 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 20:31:10 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   28 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ).

cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,
    ( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
    | c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) ) ).

cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,
    ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
    | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
    | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).

cnf(refute_0_0,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
    inference(subst,[],[cls_Public_OCrypt__imp__keysFor_0:[bind(V_H,$fot(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),bind(V_K,$fot(v_K)),bind(V_X,$fot(c_Message_Omsg_ONonce(v_NB)))]]) ).

cnf(refute_0_1,plain,
    ( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) )],[cls_conjecture_5,refute_0_0]) ).

cnf(refute_0_2,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
    inference(resolve,[$cnf( c_in(v_K,c_Message_OsymKeys,tc_nat) )],[cls_conjecture_2,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
    | ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(subst,[],[cls_Yahalom_Onew__keys__not__used_0:[bind(V_K,$fot(v_K)),bind(V_evs,$fot(v_evs3))]]) ).

cnf(refute_0_4,plain,
    ( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(resolve,[$cnf( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    inference(resolve,[$cnf( c_in(v_K,c_Message_OsymKeys,tc_nat) )],[cls_conjecture_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )],[cls_conjecture_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) )],[refute_0_6,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 14:51:20 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36  
%------------------------------------------------------------------------------