TSTP Solution File: SWV304-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV304-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n014.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  : 300s
% DateTime : Tue Aug 22 11:03:36 EDT 2023

% Result   : Unsatisfiable 3.90s 2.09s
% Output   : CNFRefutation 3.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  110 (  30 unt;  38 typ;   0 def)
%            Number of atoms       :  134 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  126 (  64   ~;  62   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  19   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   37 (  37 usr;  19 con; 0-5 aty)
%            Number of variables   :   90 (;  90   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > v_sko__vCt > v_sko__uwX > c_union > c_insert > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > v_x > v_evs4 > v_X > v_NBa > v_NB > v_NAa > v_NA > v_Ka > v_K > v_Ba > v_B > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_OtwayRees_Ootway > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(v_x,type,
    v_x: $i ).

tff(v_Ka,type,
    v_Ka: $i ).

tff(c_Message_Omsg_OMPair,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(c_Event_Oknows,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

tff(v_K,type,
    v_K: $i ).

tff(v_evs4,type,
    v_evs4: $i ).

tff(v_X,type,
    v_X: $i ).

tff(c_Public_OshrK,type,
    c_Public_OshrK: $i > $i ).

tff(c_Message_Oanalz,type,
    c_Message_Oanalz: $i > $i ).

tff(v_NAa,type,
    v_NAa: $i ).

tff(c_OtwayRees_Ootway,type,
    c_OtwayRees_Ootway: $i ).

tff(v_sko__uwX,type,
    v_sko__uwX: ( $i * $i * $i ) > $i ).

tff(v_sko__vCt,type,
    v_sko__vCt: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_Event_Obad,type,
    c_Event_Obad: $i ).

tff(c_Message_Oagent_OSpy,type,
    c_Message_Oagent_OSpy: $i ).

tff(tc_Event_Oevent,type,
    tc_Event_Oevent: $i ).

tff(v_NA,type,
    v_NA: $i ).

tff(v_NB,type,
    v_NB: $i ).

tff(v_NBa,type,
    v_NBa: $i ).

tff(c_List_Oset,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(tc_Message_Oagent,type,
    tc_Message_Oagent: $i ).

tff(c_Message_Osynth,type,
    c_Message_Osynth: $i > $i ).

tff(c_Message_Omsg_OAgent,type,
    c_Message_Omsg_OAgent: $i > $i ).

tff(tc_List_Olist,type,
    tc_List_Olist: $i > $i ).

tff(c_in,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(tc_Message_Omsg,type,
    tc_Message_Omsg: $i ).

tff(c_Message_Oparts,type,
    c_Message_Oparts: $i > $i ).

tff(c_union,type,
    c_union: ( $i * $i * $i ) > $i ).

tff(c_Message_Omsg_OCrypt,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(v_B,type,
    v_B: $i ).

tff(c_Message_Oagent_OServer,type,
    c_Message_Oagent_OServer: $i ).

tff(v_Ba,type,
    v_Ba: $i ).

tff(c_Event_Oevent_OGets,type,
    c_Event_Oevent_OGets: ( $i * $i ) > $i ).

tff(c_Message_Omsg_ONonce,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(v_A,type,
    v_A: $i ).

tff(c_Event_Oevent_OSays,type,
    c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).

tff(c_insert,type,
    c_insert: ( $i * $i * $i ) > $i ).

tff(c_Message_Omsg_OKey,type,
    c_Message_Omsg_OKey: $i > $i ).

tff(f_111,axiom,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_123,axiom,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ! [V_evs,V_B,V_X] :
      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(v_sko__uwX(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [V_A,V_B,V_X,V_evs] :
      ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ! [V_c,V_H] :
      ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file(unknown,unknown) ).

tff(f_126,axiom,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ! [V_U] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_124,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_75,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
      | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_45,axiom,
    ! [V_Z,V_X,V_H] :
      ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
      | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_108,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
      | c_in(V_c,V_B,T_a)
      | c_in(V_c,V_A,T_a) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [V_K,V_X,V_H] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ! [V_evs,V_A] :
      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
    file(unknown,unknown) ).

tff(f_114,axiom,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ( c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X ) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_85,axiom,
    ! [V_B,V_NA,V_NB,V_A,V_evs] :
      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(v_sko__vCt(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    file(unknown,unknown) ).

tff(c_30,plain,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_111]) ).

tff(c_36,plain,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_87,plain,
    ! [V_B_88,V_X_89,V_evs_90] :
      ( c_in(c_Event_Oevent_OSays(v_sko__uwX(V_B_88,V_X_89,V_evs_90),V_B_88,V_X_89),c_List_Oset(V_evs_90,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(V_B_88,V_X_89),c_List_Oset(V_evs_90,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs_90,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_2,plain,
    ! [V_X_3,V_evs_4,V_A_1,V_B_2] :
      ( c_in(V_X_3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(V_A_1,V_B_2,V_X_3),c_List_Oset(V_evs_4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_92,plain,
    ! [V_X_91,V_evs_92,V_B_93] :
      ( c_in(V_X_91,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_92)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(V_B_93,V_X_91),c_List_Oset(V_evs_92,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs_92,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_87,c_2]) ).

tff(c_95,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_36,c_92]) ).

tff(c_98,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_95]) ).

tff(c_8,plain,
    ! [V_Y_12,V_H_13,V_X_11] :
      ( c_in(V_Y_12,c_Message_Oanalz(V_H_13),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_11,V_Y_12),c_Message_Oanalz(V_H_13),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_113,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_98,c_8]) ).

tff(c_10,plain,
    ! [V_X_14,V_H_16,V_Y_15] :
      ( c_in(V_X_14,c_Message_Oanalz(V_H_16),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_14,V_Y_15),c_Message_Oanalz(V_H_16),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_325,plain,
    c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_113,c_10]) ).

tff(c_16,plain,
    ! [V_c_23,V_H_24] :
      ( c_in(V_c_23,c_Message_Oparts(V_H_24),tc_Message_Omsg)
      | ~ c_in(V_c_23,c_Message_Oanalz(V_H_24),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_28,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_40,plain,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_34,plain,
    ! [V_U_41] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U_41,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_41,plain,
    ! [V_U_41] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U_41,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(negUnitSimplification,[status(thm)],[c_40,c_34]) ).

tff(c_115,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(splitLeft,[status(thm)],[c_41]) ).

tff(c_122,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_16,c_115]) ).

tff(c_139,plain,
    c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_113,c_10]) ).

tff(c_38,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_124]) ).

tff(c_18,plain,
    ! [V_X_25,V_H_26] :
      ( c_in(V_X_25,c_Message_Osynth(V_H_26),tc_Message_Omsg)
      | ~ c_in(V_X_25,V_H_26,tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_73,plain,
    ! [V_Z_79,V_H_80,V_X_81] :
      ( c_in(V_Z_79,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_80)),c_Message_Oparts(V_H_80),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(V_X_81,c_Message_Osynth(c_Message_Oanalz(V_H_80)),tc_Message_Omsg)
      | ~ c_in(V_Z_79,c_Message_Oparts(c_insert(V_X_81,V_H_80,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_78,plain,
    ! [V_Z_82,V_H_83,V_X_84] :
      ( c_in(V_Z_82,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_83)),c_Message_Oparts(V_H_83),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(V_Z_82,c_Message_Oparts(c_insert(V_X_84,V_H_83,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(V_X_84,c_Message_Oanalz(V_H_83),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_18,c_73]) ).

tff(c_84,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_38,c_78]) ).

tff(c_189,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_139,c_84]) ).

tff(c_26,plain,
    ! [V_c_37,V_A_38,T_a_40,V_B_39] :
      ( c_in(V_c_37,V_A_38,T_a_40)
      | c_in(V_c_37,V_B_39,T_a_40)
      | ~ c_in(V_c_37,c_union(V_A_38,V_B_39,T_a_40),T_a_40) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_192,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_189,c_26]) ).

tff(c_195,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_115,c_192]) ).

tff(c_4,plain,
    ! [V_K_5,V_H_7,V_X_6] :
      ( c_in(c_Message_Omsg_OKey(V_K_5),V_H_7,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K_5,V_X_6),V_H_7,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(V_K_5,V_X_6),c_Message_Osynth(V_H_7),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_200,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_195,c_4]) ).

tff(c_204,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_122,c_200]) ).

tff(c_61,plain,
    ! [V_A_72,V_evs_73] :
      ( c_in(V_A_72,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_72)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_73)),tc_Message_Omsg)
      | ~ c_in(V_evs_73,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_65,plain,
    ! [V_A_72,V_evs_73] :
      ( c_in(V_A_72,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(V_evs_73,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_72)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_73)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_16,c_61]) ).

tff(c_226,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_204,c_65]) ).

tff(c_229,plain,
    c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_226]) ).

tff(c_231,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_28,c_229]) ).

tff(c_232,plain,
    ! [V_U_41] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U_41,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(splitRight,[status(thm)],[c_41]) ).

tff(c_32,plain,
    ( ( c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X )
    | c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnfTransformation,[status(thm)],[f_114]) ).

tff(c_234,plain,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(splitLeft,[status(thm)],[c_32]) ).

tff(c_304,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_232,c_234]) ).

tff(c_305,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X,
    inference(splitRight,[status(thm)],[c_32]) ).

tff(c_12,plain,
    ! [V_Y_18,V_H_19,V_X_17] :
      ( c_in(V_Y_18,c_Message_Oparts(V_H_19),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_17,V_Y_18),c_Message_Oparts(V_H_19),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_422,plain,
    ! [V_H_134] :
      ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oparts(V_H_134),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Oparts(V_H_134),tc_Message_Omsg) ),
    inference(superposition,[status(thm),theory(equality)],[c_305,c_12]) ).

tff(c_436,plain,
    ! [V_H_135] :
      ( c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oparts(V_H_135),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Oparts(V_H_135),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_422,c_12]) ).

tff(c_449,plain,
    ! [V_H_135] :
      ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(V_H_135),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Oparts(V_H_135),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_436,c_12]) ).

tff(c_20,plain,
    ! [V_A_30,V_evs_31,V_B_27,V_NB_29,V_NA_28] :
      ( c_in(c_Event_Oevent_OSays(V_B_27,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(V_NA_28,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_30),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_27),c_Message_Omsg_OMPair(v_sko__vCt(V_A_30,V_B_27,V_NA_28,V_NB_29,V_evs_31),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_27),c_Message_Omsg_OMPair(V_NA_28,c_Message_Omsg_OMPair(V_NB_29,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_30),c_Message_Omsg_OAgent(V_B_27)))))))))),c_List_Oset(V_evs_31,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_B_27,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_27),c_Message_Omsg_OMPair(V_NA_28,c_Message_Omsg_OMPair(V_NB_29,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_30),c_Message_Omsg_OAgent(V_B_27))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_31)),tc_Message_Omsg)
      | ~ c_in(V_evs_31,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_514,plain,
    ! [V_U_141] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U_141,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(splitRight,[status(thm)],[c_41]) ).

tff(c_520,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_20,c_514]) ).

tff(c_523,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_520]) ).

tff(c_524,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_28,c_523]) ).

tff(c_531,plain,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_449,c_524]) ).

tff(c_535,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_16,c_531]) ).

tff(c_539,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_325,c_535]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV304-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 22:40:03 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 3.90/2.09  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.90/2.09  
% 3.90/2.09  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.90/2.14  
% 3.90/2.14  Inference rules
% 3.90/2.14  ----------------------
% 3.90/2.14  #Ref     : 0
% 3.90/2.14  #Sup     : 106
% 3.90/2.14  #Fact    : 0
% 3.90/2.14  #Define  : 0
% 3.90/2.14  #Split   : 3
% 3.90/2.14  #Chain   : 0
% 3.90/2.14  #Close   : 0
% 3.90/2.14  
% 3.90/2.14  Ordering : KBO
% 3.90/2.14  
% 3.90/2.14  Simplification rules
% 3.90/2.14  ----------------------
% 3.90/2.14  #Subsume      : 3
% 3.90/2.14  #Demod        : 10
% 3.90/2.14  #Tautology    : 6
% 3.90/2.14  #SimpNegUnit  : 7
% 3.90/2.14  #BackRed      : 0
% 3.90/2.14  
% 3.90/2.14  #Partial instantiations: 0
% 3.90/2.14  #Strategies tried      : 1
% 3.90/2.14  
% 3.90/2.14  Timing (in seconds)
% 3.90/2.14  ----------------------
% 3.90/2.14  Preprocessing        : 0.51
% 3.90/2.14  Parsing              : 0.29
% 3.90/2.14  CNF conversion       : 0.03
% 3.90/2.14  Main loop            : 0.52
% 3.90/2.14  Inferencing          : 0.23
% 3.90/2.14  Reduction            : 0.13
% 3.90/2.14  Demodulation         : 0.09
% 3.90/2.14  BG Simplification    : 0.02
% 3.90/2.14  Subsumption          : 0.11
% 3.90/2.14  Abstraction          : 0.02
% 3.90/2.14  MUC search           : 0.00
% 3.90/2.14  Cooper               : 0.00
% 3.90/2.14  Total                : 1.10
% 3.90/2.14  Index Insertion      : 0.00
% 3.90/2.14  Index Deletion       : 0.00
% 3.90/2.14  Index Matching       : 0.00
% 3.90/2.14  BG Taut test         : 0.00
%------------------------------------------------------------------------------