TSTP Solution File: SWV318-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV318-2 : 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 : n003.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 11:03:41 EDT 2023

% Result   : Unsatisfiable 4.96s 2.39s
% Output   : CNFRefutation 5.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   42
% Syntax   : Number of formulae    :   76 (  23 unt;  28 typ;   0 def)
%            Number of atoms       :   76 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  35   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  15   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  13 con; 0-3 aty)
%            Number of variables   :   54 (;  54   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > v_sko__usf > 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_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Oanalz > v_evs4 > v_X > v_NB > v_NA > v_K > v_B > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_OtwayRees_Ootway > c_Message_Oagent_OSpy > c_Event_Obad

%Foreground sorts:

%Background operators:

%Foreground operators:
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(c_OtwayRees_Ootway,type,
    c_OtwayRees_Ootway: $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(c_List_Oset,type,
    c_List_Oset: ( $i * $i ) > $i ).

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

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

tff(v_sko__usf,type,
    v_sko__usf: ( $i * $i * $i ) > $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_76,axiom,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [V_H] : ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
    file(unknown,unknown) ).

tff(f_71,axiom,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_72,axiom,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_60,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__usf(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_45,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
      | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_35,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_40,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_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ( c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) ) ),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ! [V_A,V_evs] :
      ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_84,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ! [V_a,V_A,T_a,V_b] :
      ( ~ c_in(V_a,V_A,T_a)
      | c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
    file(unknown,unknown) ).

tff(f_81,axiom,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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(c_24,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_174,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(splitLeft,[status(thm)],[c_24]) ).

tff(c_10,plain,
    ! [V_H_13] : ( c_Message_Oparts(c_Message_Oanalz(V_H_13)) = c_Message_Oparts(V_H_13) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_20,plain,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_22,plain,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_317,plain,
    ! [V_B_106,V_X_107,V_evs_108] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B_106,V_X_107,V_evs_108),V_B_106,V_X_107),c_List_Oset(V_evs_108,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(V_B_106,V_X_107),c_List_Oset(V_evs_108,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs_108,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

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_479,plain,
    ! [V_X_160,V_evs_161,V_B_162] :
      ( c_in(V_X_160,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_161)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(V_B_162,V_X_160),c_List_Oset(V_evs_161,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs_161,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_317,c_2]) ).

tff(c_482,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),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_22,c_479]) ).

tff(c_485,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_482]) ).

tff(c_8,plain,
    ! [V_X_11,V_H_12] :
      ( c_in(V_X_11,c_Message_Oparts(V_H_12),tc_Message_Omsg)
      | ~ c_in(V_X_11,V_H_12,tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_47,plain,
    ! [V_Y_34,V_H_35,V_X_36] :
      ( c_in(V_Y_34,c_Message_Oparts(V_H_35),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_36,V_Y_34),c_Message_Oparts(V_H_35),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_60,plain,
    ! [V_Y_34,V_H_12,V_X_36] :
      ( c_in(V_Y_34,c_Message_Oparts(V_H_12),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_36,V_Y_34),V_H_12,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_8,c_47]) ).

tff(c_742,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_485,c_60]) ).

tff(c_810,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_742]) ).

tff(c_6,plain,
    ! [V_X_8,V_H_10,V_Y_9] :
      ( c_in(V_X_8,c_Message_Oparts(V_H_10),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_8,V_Y_9),c_Message_Oparts(V_H_10),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_1227,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_810,c_6]) ).

tff(c_12,plain,
    ! [V_X_14,V_H_15] :
      ( ( c_Message_Oparts(c_insert(V_X_14,V_H_15,tc_Message_Omsg)) = c_Message_Oparts(V_H_15) )
      | ~ c_in(V_X_14,c_Message_Oparts(V_H_15),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_1233,plain,
    c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),
    inference(resolution,[status(thm)],[c_1227,c_12]) ).

tff(c_16,plain,
    ! [V_A_19,V_evs_20] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_19)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_20),tc_Message_Omsg)
      | ~ c_in(V_A_19,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_182,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_8,c_174]) ).

tff(c_186,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(resolution,[status(thm)],[c_16,c_182]) ).

tff(c_28,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_84]) ).

tff(c_224,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_186,c_28]) ).

tff(c_1239,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_1233,c_224]) ).

tff(c_1241,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_174,c_1239]) ).

tff(c_1242,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(splitRight,[status(thm)],[c_24]) ).

tff(c_18,plain,
    ! [V_a_21,V_b_24,V_A_22,T_a_23] :
      ( c_in(V_a_21,c_insert(V_b_24,V_A_22,T_a_23),T_a_23)
      | ~ c_in(V_a_21,V_A_22,T_a_23) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_26,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_1371,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_1242,c_26]) ).

tff(c_1384,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_8,c_1371]) ).

tff(c_1388,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_18,c_1384]) ).

tff(c_1391,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(resolution,[status(thm)],[c_16,c_1388]) ).

tff(c_1395,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1242,c_1391]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV318-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % 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
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 22:49:23 EDT 2023
% 0.20/0.36  % CPUTime  : 
% 4.96/2.39  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.96/2.40  
% 4.96/2.40  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.38/2.44  
% 5.38/2.44  Inference rules
% 5.38/2.44  ----------------------
% 5.38/2.44  #Ref     : 0
% 5.38/2.44  #Sup     : 336
% 5.38/2.44  #Fact    : 0
% 5.38/2.44  #Define  : 0
% 5.38/2.44  #Split   : 1
% 5.38/2.44  #Chain   : 0
% 5.38/2.44  #Close   : 0
% 5.38/2.44  
% 5.38/2.44  Ordering : KBO
% 5.38/2.44  
% 5.38/2.44  Simplification rules
% 5.38/2.44  ----------------------
% 5.38/2.44  #Subsume      : 17
% 5.38/2.44  #Demod        : 85
% 5.38/2.44  #Tautology    : 59
% 5.38/2.44  #SimpNegUnit  : 3
% 5.38/2.44  #BackRed      : 2
% 5.38/2.44  
% 5.38/2.44  #Partial instantiations: 0
% 5.38/2.44  #Strategies tried      : 1
% 5.38/2.44  
% 5.38/2.44  Timing (in seconds)
% 5.38/2.44  ----------------------
% 5.38/2.44  Preprocessing        : 0.49
% 5.38/2.44  Parsing              : 0.29
% 5.38/2.44  CNF conversion       : 0.02
% 5.38/2.44  Main loop            : 0.75
% 5.38/2.44  Inferencing          : 0.27
% 5.38/2.44  Reduction            : 0.20
% 5.38/2.44  Demodulation         : 0.14
% 5.38/2.44  BG Simplification    : 0.03
% 5.38/2.44  Subsumption          : 0.20
% 5.38/2.44  Abstraction          : 0.03
% 5.38/2.44  MUC search           : 0.00
% 5.38/2.44  Cooper               : 0.00
% 5.38/2.44  Total                : 1.29
% 5.38/2.44  Index Insertion      : 0.00
% 5.38/2.44  Index Deletion       : 0.00
% 5.38/2.44  Index Matching       : 0.00
% 5.38/2.44  BG Taut test         : 0.00
%------------------------------------------------------------------------------