TSTP Solution File: SWV295-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV295-2 : 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 : n010.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 11:03:34 EDT 2023

% Result   : Unsatisfiable 2.03s 1.57s
% Output   : CNFRefutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   34 (  12 unt;  16 typ;   0 def)
%            Number of atoms       :   24 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   9   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (;  16   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_Event_Oknows > #nlpp > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Event_Oused > v_evs1 > v_NAa > v_NA > v_K > v_Aa > tc_Message_Omsg > c_Message_Oagent_OSpy

%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_evs1,type,
    v_evs1: $i ).

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

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

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

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

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

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

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

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

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

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

tff(f_29,axiom,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [V_K,V_X,V_H] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),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_39,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_34,axiom,
    ! [V_c,V_evs] :
      ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_4,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_13,plain,
    ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).

tff(c_2,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_14,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).

tff(c_12,plain,
    ! [V_X_7,V_H_8,V_K_6] :
      ( c_in(V_X_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(V_K_6,V_X_7),c_Message_Oparts(V_H_8),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_29,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_14,c_12]) ).

tff(c_10,plain,
    ! [V_X_3,V_H_5,V_Y_4] :
      ( c_in(V_X_3,c_Message_Oparts(V_H_5),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_3,V_Y_4),c_Message_Oparts(V_H_5),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_37,plain,
    c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_29,c_10]) ).

tff(c_8,plain,
    ! [V_c_1,V_evs_2] :
      ( c_in(V_c_1,c_Event_Oused(V_evs_2),tc_Message_Omsg)
      | ~ c_in(V_c_1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_2)),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_40,plain,
    c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_37,c_8]) ).

tff(c_44,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13,c_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV295-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n010.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  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 22:15:58 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.03/1.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.03/1.58  
% 2.03/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.61  
% 2.60/1.61  Inference rules
% 2.60/1.61  ----------------------
% 2.60/1.61  #Ref     : 0
% 2.60/1.61  #Sup     : 7
% 2.60/1.61  #Fact    : 0
% 2.60/1.61  #Define  : 0
% 2.60/1.61  #Split   : 0
% 2.60/1.61  #Chain   : 0
% 2.60/1.61  #Close   : 0
% 2.60/1.61  
% 2.60/1.61  Ordering : KBO
% 2.60/1.61  
% 2.60/1.61  Simplification rules
% 2.60/1.61  ----------------------
% 2.60/1.61  #Subsume      : 0
% 2.60/1.61  #Demod        : 2
% 2.60/1.61  #Tautology    : 2
% 2.60/1.61  #SimpNegUnit  : 1
% 2.60/1.61  #BackRed      : 0
% 2.60/1.61  
% 2.60/1.61  #Partial instantiations: 0
% 2.60/1.61  #Strategies tried      : 1
% 2.60/1.61  
% 2.60/1.61  Timing (in seconds)
% 2.60/1.61  ----------------------
% 2.60/1.62  Preprocessing        : 0.40
% 2.60/1.62  Parsing              : 0.22
% 2.60/1.62  CNF conversion       : 0.02
% 2.60/1.62  Main loop            : 0.16
% 2.60/1.62  Inferencing          : 0.07
% 2.60/1.62  Reduction            : 0.04
% 2.60/1.62  Demodulation         : 0.03
% 2.60/1.62  BG Simplification    : 0.01
% 2.60/1.62  Subsumption          : 0.03
% 2.60/1.62  Abstraction          : 0.01
% 2.60/1.62  MUC search           : 0.00
% 2.60/1.62  Cooper               : 0.00
% 2.60/1.62  Total                : 0.61
% 2.60/1.62  Index Insertion      : 0.00
% 2.60/1.62  Index Deletion       : 0.00
% 2.60/1.62  Index Matching       : 0.00
% 2.60/1.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------