TSTP Solution File: SWV314-2 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n024.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 16:18:04 EDT 2022

% Result   : Unsatisfiable 1.71s 1.13s
% Output   : CNFRefutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   44 (  13 unt;  27 typ;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   30 (  14   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    5 (   0 usr;   3 ari)
%            Number of type conns  :   26 (  14   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  13 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > c_Event_Oevent_ONotes > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Omsg_OKey > c_Message_Oanalz > v_evs > 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_Message_Oagent_OServer > 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(c_Public_OshrK,type,
    c_Public_OshrK: $i > $i ).

tff('#nlpp',type,
    '#nlpp': ( $real * $real ) > $real ).

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

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

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

tff('#nlpp_001',type,
    '#nlpp': ( $rat * $rat ) > $rat ).

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

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

tff('#nlpp_002',type,
    '#nlpp': ( $int * $int ) > $int ).

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

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

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

tff(f_32,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_33,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_34,axiom,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_26,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_evs,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [V_B,V_NA,V_NB,V_A,V_K,V_evs] :
      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(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_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    file(unknown,unknown) ).

tff(c_8,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_6,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_4,plain,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_10,plain,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_12,plain,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2,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_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_15,plain,
    ! [V_NA_11,V_evs_7,V_NB_12,V_K_8,V_B_10,V_A_9] :
      ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA_11,c_Message_Omsg_OMPair(V_NB_12,c_Message_Omsg_OKey(V_K_8)))),c_List_Oset(V_evs_7,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_A_9,c_Event_Obad,tc_Message_Oagent)
      | c_in(V_B_10,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(V_K_8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_7)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B_10,c_Message_Omsg_OMPair(V_NA_11,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_9),c_Message_Omsg_OMPair(V_NA_11,c_Message_Omsg_OKey(V_K_8))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_10),c_Message_Omsg_OMPair(V_NB_12,c_Message_Omsg_OKey(V_K_8)))))),c_List_Oset(V_evs_7,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs_7,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_18,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_2,c_15]) ).

tff(c_21,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_12,c_18]) ).

tff(c_23,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_4,c_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34  % Computer : n024.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 : Wed Jun 15 23:29:03 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 1.71/1.13  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.71/1.14  
% 1.71/1.14  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.71/1.16  
% 1.71/1.16  Inference rules
% 1.71/1.16  ----------------------
% 1.71/1.16  #Ref     : 0
% 1.71/1.16  #Sup     : 1
% 1.71/1.16  #Fact    : 0
% 1.71/1.16  #Define  : 0
% 1.71/1.16  #Split   : 0
% 1.71/1.16  #Chain   : 0
% 1.71/1.16  #Close   : 0
% 1.71/1.16  
% 1.71/1.16  Ordering : KBO
% 1.71/1.16  
% 1.71/1.16  Simplification rules
% 1.71/1.16  ----------------------
% 1.71/1.16  #Subsume      : 0
% 1.71/1.16  #Demod        : 2
% 1.71/1.16  #Tautology    : 0
% 1.71/1.16  #SimpNegUnit  : 1
% 1.71/1.16  #BackRed      : 0
% 1.71/1.16  
% 1.71/1.16  #Partial instantiations: 0
% 1.71/1.16  #Strategies tried      : 1
% 1.71/1.16  
% 1.71/1.16  Timing (in seconds)
% 1.71/1.16  ----------------------
% 1.71/1.16  Preprocessing        : 0.29
% 1.71/1.16  Parsing              : 0.17
% 1.71/1.16  CNF conversion       : 0.01
% 1.71/1.16  Main loop            : 0.08
% 1.71/1.16  Inferencing          : 0.03
% 1.71/1.16  Reduction            : 0.03
% 1.71/1.16  Demodulation         : 0.02
% 1.71/1.16  BG Simplification    : 0.01
% 1.71/1.16  Subsumption          : 0.01
% 1.71/1.16  Abstraction          : 0.00
% 1.71/1.16  MUC search           : 0.00
% 1.71/1.16  Cooper               : 0.00
% 1.71/1.16  Total                : 0.40
% 1.71/1.16  Index Insertion      : 0.00
% 1.71/1.16  Index Deletion       : 0.00
% 1.71/1.16  Index Matching       : 0.00
% 1.71/1.16  BG Taut test         : 0.00
%------------------------------------------------------------------------------