TSTP Solution File: SWV349-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV349-2 : 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 : n027.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 11:03:50 EDT 2023

% Result   : Unsatisfiable 2.20s 1.54s
% Output   : CNFRefutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   16 (   5 unt;  11 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  :   10 (   5   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (;   2   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Message_Omsg_OMPair > c_List_Oset > c_Event_Oevent_ONotes > #nlpp > c_Message_Omsg_ONonce > v_k > v_evso > v_NB > v_NA > tc_Event_Oevent > 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_Message_Oagent_OSpy,type,
    c_Message_Oagent_OSpy: $i ).

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

tff(v_evso,type,
    v_evso: $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(v_k,type,
    v_k: $i ).

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

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

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

tff(f_28,axiom,
    ! [V_U] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),V_U))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_29,axiom,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),v_k))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(c_2,plain,
    ! [V_U_1] : ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),V_U_1))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_4,plain,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),v_k))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV349-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % 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
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 23:00:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.20/1.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.20/1.55  
% 2.20/1.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.20/1.59  
% 2.20/1.59  Inference rules
% 2.20/1.59  ----------------------
% 2.20/1.59  #Ref     : 0
% 2.20/1.59  #Sup     : 0
% 2.20/1.59  #Fact    : 0
% 2.20/1.59  #Define  : 0
% 2.20/1.59  #Split   : 0
% 2.20/1.59  #Chain   : 0
% 2.20/1.59  #Close   : 0
% 2.20/1.59  
% 2.20/1.59  Ordering : KBO
% 2.20/1.59  
% 2.20/1.59  Simplification rules
% 2.20/1.59  ----------------------
% 2.20/1.59  #Subsume      : 1
% 2.20/1.59  #Demod        : 0
% 2.20/1.59  #Tautology    : 0
% 2.20/1.59  #SimpNegUnit  : 1
% 2.20/1.59  #BackRed      : 0
% 2.20/1.59  
% 2.20/1.59  #Partial instantiations: 0
% 2.20/1.59  #Strategies tried      : 1
% 2.20/1.59  
% 2.20/1.59  Timing (in seconds)
% 2.20/1.59  ----------------------
% 2.20/1.59  Preprocessing        : 0.42
% 2.20/1.59  Parsing              : 0.23
% 2.20/1.59  CNF conversion       : 0.02
% 2.20/1.59  Main loop            : 0.05
% 2.20/1.59  Inferencing          : 0.00
% 2.20/1.59  Reduction            : 0.03
% 2.20/1.59  Demodulation         : 0.02
% 2.20/1.59  BG Simplification    : 0.01
% 2.20/1.59  Subsumption          : 0.02
% 2.20/1.59  Abstraction          : 0.00
% 2.20/1.59  MUC search           : 0.00
% 2.20/1.59  Cooper               : 0.00
% 2.20/1.59  Total                : 0.53
% 2.20/1.59  Index Insertion      : 0.00
% 2.20/1.59  Index Deletion       : 0.00
% 2.20/1.59  Index Matching       : 0.00
% 2.20/1.59  BG Taut test         : 0.00
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