TSTP Solution File: SWV320-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV320-2 : 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/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 : n003.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 11:03:42 EDT 2023

% Result   : Unsatisfiable 2.35s 1.53s
% Output   : CNFRefutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   25 (   8 unt;  14 typ;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   6   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oknows > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_OKey > v_evs > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_OtwayRees_Ootway > c_Message_Oagent_OSpy > c_Event_Obad

%Foreground sorts:

%Background operators:

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

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

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

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

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

tff(f_29,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file(unknown,unknown) ).

tff(f_27,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [V_evs,V_A] :
      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_4,plain,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_2,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_9,plain,
    ! [V_A_3,V_evs_4] :
      ( c_in(V_A_3,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_4)),tc_Message_Omsg)
      | ~ c_in(V_evs_4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_12,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_2,c_9]) ).

tff(c_15,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_12]) ).

tff(c_17,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV320-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -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
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 23:12:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 2.35/1.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/1.53  
% 2.35/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.55/1.58  
% 2.55/1.58  Inference rules
% 2.55/1.58  ----------------------
% 2.55/1.58  #Ref     : 0
% 2.55/1.58  #Sup     : 1
% 2.55/1.58  #Fact    : 0
% 2.55/1.58  #Define  : 0
% 2.55/1.58  #Split   : 0
% 2.55/1.58  #Chain   : 0
% 2.55/1.58  #Close   : 0
% 2.55/1.58  
% 2.55/1.58  Ordering : KBO
% 2.55/1.58  
% 2.55/1.58  Simplification rules
% 2.55/1.58  ----------------------
% 2.55/1.58  #Subsume      : 0
% 2.55/1.58  #Demod        : 1
% 2.55/1.58  #Tautology    : 0
% 2.55/1.58  #SimpNegUnit  : 1
% 2.55/1.58  #BackRed      : 0
% 2.55/1.58  
% 2.55/1.58  #Partial instantiations: 0
% 2.55/1.58  #Strategies tried      : 1
% 2.55/1.58  
% 2.55/1.58  Timing (in seconds)
% 2.55/1.58  ----------------------
% 2.55/1.58  Preprocessing        : 0.40
% 2.55/1.58  Parsing              : 0.22
% 2.55/1.58  CNF conversion       : 0.02
% 2.55/1.58  Main loop            : 0.13
% 2.55/1.58  Inferencing          : 0.06
% 2.55/1.58  Reduction            : 0.03
% 2.55/1.58  Demodulation         : 0.02
% 2.55/1.58  BG Simplification    : 0.01
% 2.55/1.58  Subsumption          : 0.03
% 2.55/1.58  Abstraction          : 0.01
% 2.55/1.58  MUC search           : 0.00
% 2.55/1.58  Cooper               : 0.00
% 2.55/1.58  Total                : 0.59
% 2.55/1.58  Index Insertion      : 0.00
% 2.55/1.58  Index Deletion       : 0.00
% 2.55/1.58  Index Matching       : 0.00
% 2.55/1.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------