TSTP Solution File: SWV325-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV325-2 : 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 : n012.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 11:03:43 EDT 2023

% Result   : Unsatisfiable 3.30s 1.85s
% Output   : CNFRefutation 3.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   69 (  22 unt;  25 typ;   0 def)
%            Number of atoms       :   84 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   76 (  36   ~;  40   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  13   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  12 con; 0-3 aty)
%            Number of variables   :   36 (;  36   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_union > c_insert > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_Event_Oknows > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evsf > v_X > v_NA > v_C > v_B > 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_Message_Omsg_OMPair,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

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

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

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

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

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

tff(c_Message_Osynth,type,
    c_Message_Osynth: $i > $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(c_Message_Oparts,type,
    c_Message_Oparts: $i > $i ).

tff(c_union,type,
    c_union: ( $i * $i * $i ) > $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(v_A,type,
    v_A: $i ).

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

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

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

tff(f_27,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file(unknown,unknown) ).

tff(f_28,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_33,axiom,
    v_B != v_C,
    file(unknown,unknown) ).

tff(f_40,axiom,
    ( ( v_B = v_C )
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [V_c,V_H] :
      ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_31,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_29,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [V_Z,V_X,V_H] :
      ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
      | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_75,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
      | c_in(V_c,V_B,T_a)
      | c_in(V_c,V_A,T_a) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [V_K,V_X,V_H] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_68,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(f_30,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(c_2,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_4,plain,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_12,plain,
    v_C != v_B,
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_14,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ( v_C = v_B ) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_25,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(negUnitSimplification,[status(thm)],[c_12,c_14]) ).

tff(c_53,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(splitLeft,[status(thm)],[c_25]) ).

tff(c_20,plain,
    ! [V_c_7,V_H_8] :
      ( c_in(V_c_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
      | ~ c_in(V_c_7,c_Message_Oanalz(V_H_8),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_57,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_20,c_53]) ).

tff(c_10,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_6,plain,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_35,plain,
    ! [V_Z_28,V_H_29,V_X_30] :
      ( c_in(V_Z_28,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_29)),c_Message_Oparts(V_H_29),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(V_X_30,c_Message_Osynth(c_Message_Oanalz(V_H_29)),tc_Message_Omsg)
      | ~ c_in(V_Z_28,c_Message_Oparts(c_insert(V_X_30,V_H_29,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_39,plain,
    ! [V_Z_31] :
      ( c_in(V_Z_31,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(V_Z_31,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_6,c_35]) ).

tff(c_24,plain,
    ! [V_c_11,V_A_12,T_a_14,V_B_13] :
      ( c_in(V_c_11,V_A_12,T_a_14)
      | c_in(V_c_11,V_B_13,T_a_14)
      | ~ c_in(V_c_11,c_union(V_A_12,V_B_13,T_a_14),T_a_14) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_44,plain,
    ! [V_Z_32] :
      ( c_in(V_Z_32,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
      | c_in(V_Z_32,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | ~ c_in(V_Z_32,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_39,c_24]) ).

tff(c_16,plain,
    ! [V_K_1,V_H_3,V_X_2] :
      ( c_in(c_Message_Omsg_OKey(V_K_1),V_H_3,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K_1,V_X_2),V_H_3,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(V_K_1,V_X_2),c_Message_Osynth(V_H_3),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_58,plain,
    ! [V_K_33,V_X_34] :
      ( c_in(c_Message_Omsg_OKey(V_K_33),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_34),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_34),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_34),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_44,c_16]) ).

tff(c_64,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_10,c_58]) ).

tff(c_71,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_53,c_57,c_64]) ).

tff(c_28,plain,
    ! [V_A_21,V_evs_22] :
      ( c_in(V_A_21,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_21)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_22)),tc_Message_Omsg)
      | ~ c_in(V_evs_22,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_32,plain,
    ! [V_A_21,V_evs_22] :
      ( c_in(V_A_21,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(V_evs_22,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_21)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_22)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_20,c_28]) ).

tff(c_75,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_71,c_32]) ).

tff(c_78,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_75]) ).

tff(c_80,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_78]) ).

tff(c_81,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(splitRight,[status(thm)],[c_25]) ).

tff(c_99,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_20,c_81]) ).

tff(c_8,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_83,plain,
    ! [V_K_35,V_X_36] :
      ( c_in(c_Message_Omsg_OKey(V_K_35),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K_35,V_X_36),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(V_K_35,V_X_36),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(V_K_35,V_X_36),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_44,c_16]) ).

tff(c_93,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_8,c_83]) ).

tff(c_133,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_81,c_99,c_93]) ).

tff(c_136,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_133,c_32]) ).

tff(c_139,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_136]) ).

tff(c_141,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV325-2 : 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
% 0.14/0.35  % Computer : n012.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 23:02:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 3.30/1.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.30/1.85  
% 3.30/1.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.49/1.89  
% 3.49/1.89  Inference rules
% 3.49/1.89  ----------------------
% 3.49/1.89  #Ref     : 0
% 3.49/1.89  #Sup     : 22
% 3.49/1.89  #Fact    : 0
% 3.49/1.89  #Define  : 0
% 3.49/1.89  #Split   : 2
% 3.49/1.89  #Chain   : 0
% 3.49/1.89  #Close   : 0
% 3.49/1.89  
% 3.49/1.89  Ordering : KBO
% 3.49/1.89  
% 3.49/1.89  Simplification rules
% 3.49/1.89  ----------------------
% 3.49/1.89  #Subsume      : 1
% 3.49/1.89  #Demod        : 4
% 3.49/1.89  #Tautology    : 2
% 3.49/1.89  #SimpNegUnit  : 6
% 3.49/1.89  #BackRed      : 0
% 3.49/1.89  
% 3.49/1.89  #Partial instantiations: 0
% 3.49/1.89  #Strategies tried      : 1
% 3.49/1.89  
% 3.49/1.89  Timing (in seconds)
% 3.49/1.89  ----------------------
% 3.49/1.89  Preprocessing        : 0.48
% 3.49/1.89  Parsing              : 0.26
% 3.49/1.89  CNF conversion       : 0.02
% 3.49/1.89  Main loop            : 0.31
% 3.49/1.89  Inferencing          : 0.13
% 3.49/1.89  Reduction            : 0.08
% 3.49/1.89  Demodulation         : 0.06
% 3.49/1.89  BG Simplification    : 0.01
% 3.49/1.89  Subsumption          : 0.07
% 3.49/1.89  Abstraction          : 0.01
% 3.49/1.89  MUC search           : 0.00
% 3.49/1.89  Cooper               : 0.00
% 3.49/1.89  Total                : 0.84
% 3.49/1.89  Index Insertion      : 0.00
% 3.49/1.89  Index Deletion       : 0.00
% 3.49/1.89  Index Matching       : 0.00
% 3.49/1.89  BG Taut test         : 0.00
%------------------------------------------------------------------------------