TSTP Solution File: SWV330-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV330-2 : 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 : n001.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 11:03:45 EDT 2023

% Result   : Unsatisfiable 1.94s 1.46s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   18 (   5 unt;  13 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (   6   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :    2 (;   2   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > #nlpp > c_Message_Omsg_ONonce > v_evsf > v_Xa > v_NB > v_K > v_B > v_A > tc_Event_Oevent

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

tff(v_evsf,type,
    v_evsf: $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(f_29,axiom,
    ! [V_U] : ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_Xa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [V_U_1] : ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(V_U_1,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_2,plain,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_Xa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_5,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV330-2 : 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
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 23:35:56 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 1.94/1.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/1.46  
% 1.94/1.46  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.94/1.50  
% 1.94/1.50  Inference rules
% 1.94/1.50  ----------------------
% 1.94/1.50  #Ref     : 0
% 1.94/1.50  #Sup     : 0
% 1.94/1.50  #Fact    : 0
% 1.94/1.50  #Define  : 0
% 1.94/1.50  #Split   : 0
% 1.94/1.50  #Chain   : 0
% 1.94/1.50  #Close   : 0
% 1.94/1.50  
% 1.94/1.50  Ordering : KBO
% 1.94/1.50  
% 1.94/1.50  Simplification rules
% 1.94/1.50  ----------------------
% 1.94/1.50  #Subsume      : 1
% 1.94/1.50  #Demod        : 0
% 1.94/1.50  #Tautology    : 0
% 1.94/1.50  #SimpNegUnit  : 1
% 1.94/1.50  #BackRed      : 0
% 1.94/1.50  
% 1.94/1.50  #Partial instantiations: 0
% 1.94/1.50  #Strategies tried      : 1
% 1.94/1.50  
% 1.94/1.50  Timing (in seconds)
% 1.94/1.50  ----------------------
% 1.94/1.50  Preprocessing        : 0.38
% 1.94/1.50  Parsing              : 0.21
% 1.94/1.50  CNF conversion       : 0.02
% 1.94/1.50  Main loop            : 0.04
% 1.94/1.50  Inferencing          : 0.00
% 1.94/1.50  Reduction            : 0.01
% 1.94/1.50  Demodulation         : 0.00
% 1.94/1.50  BG Simplification    : 0.01
% 1.94/1.50  Subsumption          : 0.02
% 1.94/1.50  Abstraction          : 0.00
% 1.94/1.50  MUC search           : 0.00
% 1.94/1.50  Cooper               : 0.00
% 1.94/1.50  Total                : 0.47
% 1.94/1.50  Index Insertion      : 0.00
% 1.94/1.50  Index Deletion       : 0.00
% 1.94/1.50  Index Matching       : 0.00
% 1.94/1.50  BG Taut test         : 0.00
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