TSTP Solution File: SWV357-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV357-2 : 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 : n008.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 11:03:52 EDT 2023

% Result   : Unsatisfiable 2.07s 1.56s
% Output   : CNFRefutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   31 (   9 unt;  17 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   9   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   12 (;  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Message_Omsg_OMPair > c_List_Oset > c_Event_Oknows > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs2 > v_NB > v_Ba > v_Aa > tc_Message_Omsg > tc_Event_Oevent > c_Yahalom_Oyahalom > 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(c_Message_Oanalz,type,
    c_Message_Oanalz: $i > $i ).

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

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

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

tff(v_evs2,type,
    v_evs2: $i ).

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

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

tff(f_29,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_27,axiom,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [V_evs,V_B,V_X] :
      ( ~ c_in(V_evs,c_Yahalom_Oyahalom,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(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_34,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(c_6,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_2,plain,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_4,plain,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_12,plain,
    ! [V_X_10,V_evs_11,V_B_12] :
      ( c_in(V_X_10,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_11)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(V_B_12,V_X_10),c_List_Oset(V_evs_11,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs_11,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_15,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_4,c_12]) ).

tff(c_18,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15]) ).

tff(c_8,plain,
    ! [V_Y_2,V_H_3,V_X_1] :
      ( c_in(V_Y_2,c_Message_Oanalz(V_H_3),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_1,V_Y_2),c_Message_Oanalz(V_H_3),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_21,plain,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_18,c_8]) ).

tff(c_25,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV357-2 : 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 : n008.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 23:11:19 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.07/1.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/1.56  
% 2.07/1.56  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.07/1.60  
% 2.07/1.60  Inference rules
% 2.07/1.60  ----------------------
% 2.07/1.60  #Ref     : 0
% 2.07/1.60  #Sup     : 2
% 2.07/1.60  #Fact    : 0
% 2.07/1.60  #Define  : 0
% 2.07/1.60  #Split   : 0
% 2.07/1.60  #Chain   : 0
% 2.07/1.60  #Close   : 0
% 2.07/1.60  
% 2.07/1.60  Ordering : KBO
% 2.07/1.60  
% 2.07/1.60  Simplification rules
% 2.07/1.60  ----------------------
% 2.07/1.60  #Subsume      : 0
% 2.07/1.60  #Demod        : 1
% 2.07/1.60  #Tautology    : 0
% 2.07/1.60  #SimpNegUnit  : 1
% 2.07/1.60  #BackRed      : 0
% 2.07/1.60  
% 2.07/1.60  #Partial instantiations: 0
% 2.07/1.60  #Strategies tried      : 1
% 2.07/1.60  
% 2.07/1.60  Timing (in seconds)
% 2.07/1.60  ----------------------
% 2.07/1.61  Preprocessing        : 0.39
% 2.07/1.61  Parsing              : 0.22
% 2.07/1.61  CNF conversion       : 0.02
% 2.07/1.61  Main loop            : 0.14
% 2.07/1.61  Inferencing          : 0.06
% 2.07/1.61  Reduction            : 0.03
% 2.07/1.61  Demodulation         : 0.03
% 2.07/1.61  BG Simplification    : 0.01
% 2.07/1.61  Subsumption          : 0.02
% 2.07/1.61  Abstraction          : 0.00
% 2.07/1.61  MUC search           : 0.00
% 2.07/1.61  Cooper               : 0.00
% 2.07/1.61  Total                : 0.59
% 2.07/1.61  Index Insertion      : 0.00
% 2.07/1.61  Index Deletion       : 0.00
% 2.07/1.61  Index Matching       : 0.00
% 2.07/1.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------