TSTP Solution File: SWV299-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV299-2 : 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 : n002.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 11:03:35 EDT 2023

% Result   : Unsatisfiable 3.13s 1.84s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   57 (  19 unt;  26 typ;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  24   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  12   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :   48 (;  48   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs3 > v_NB > v_NA > v_B > v_Aaa > v_Aa > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_OtwayRees_Ootway > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > 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(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(v_NB,type,
    v_NB: $i ).

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

tff(v_evs3,type,
    v_evs3: $i ).

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

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

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

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

tff(v_Aaa,type,
    v_Aaa: $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_27,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file(unknown,unknown) ).

tff(f_28,axiom,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file(unknown,unknown) ).

tff(f_29,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [V_A,V_B,V_X,V_evs] :
      ( ~ c_in(c_Event_Oevent_OSays(V_A,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_45,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(f_40,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_56,axiom,
    ! [V_B,V_NA,V_A_H,V_A,V_NA_H,V_evs] :
      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OAgent(V_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),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_evs)),tc_Message_Omsg)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    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_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_6,plain,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_10,plain,
    ! [V_X_3,V_evs_4,V_A_1,V_B_2] :
      ( c_in(V_X_3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(V_A_1,V_B_2,V_X_3),c_List_Oset(V_evs_4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_23,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_6,c_10]) ).

tff(c_14,plain,
    ! [V_Y_8,V_H_9,V_X_7] :
      ( c_in(V_Y_8,c_Message_Oanalz(V_H_9),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_7,V_Y_8),c_Message_Oanalz(V_H_9),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_27,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_23,c_14]) ).

tff(c_31,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_27,c_14]) ).

tff(c_35,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_31,c_14]) ).

tff(c_12,plain,
    ! [V_c_5,V_H_6] :
      ( c_in(V_c_5,c_Message_Oparts(V_H_6),tc_Message_Omsg)
      | ~ c_in(V_c_5,c_Message_Oanalz(V_H_6),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_56,plain,
    ! [V_A_30,V_evs_26,V_B_28,V_NA_29,V_A_H_25,V_NA_H_27] :
      ( c_in(V_A_30,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_30),c_Message_Omsg_OMPair(V_NA_29,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_30),c_Message_Omsg_OAgent(V_B_28)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_26)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_30),c_Message_Omsg_OMPair(V_NA_H_27,c_Message_Omsg_OMPair(V_NA_29,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_25),c_Message_Omsg_OAgent(V_A_30))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_26)),tc_Message_Omsg)
      | ~ c_in(V_evs_26,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_61,plain,
    ! [V_evs_34,V_A_H_35,V_A_33,V_B_31,V_NA_32,V_NA_H_36] :
      ( c_in(V_A_33,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_33),c_Message_Omsg_OMPair(V_NA_H_36,c_Message_Omsg_OMPair(V_NA_32,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_35),c_Message_Omsg_OAgent(V_A_33))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_34)),tc_Message_Omsg)
      | ~ c_in(V_evs_34,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_33),c_Message_Omsg_OMPair(V_NA_32,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_33),c_Message_Omsg_OAgent(V_B_31)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_34)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_12,c_56]) ).

tff(c_66,plain,
    ! [V_A_41,V_NA_42,V_NA_H_40,V_A_H_38,V_evs_37,V_B_39] :
      ( c_in(V_A_41,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(V_evs_37,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_41),c_Message_Omsg_OMPair(V_NA_42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_41),c_Message_Omsg_OAgent(V_B_39)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_37)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_41),c_Message_Omsg_OMPair(V_NA_H_40,c_Message_Omsg_OMPair(V_NA_42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_38),c_Message_Omsg_OAgent(V_A_41))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_37)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_12,c_61]) ).

tff(c_68,plain,
    ! [V_NA_H_40,V_A_H_38] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(V_NA_H_40,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_38),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_35,c_66]) ).

tff(c_71,plain,
    ! [V_NA_H_40,V_A_H_38] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(V_NA_H_40,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_38),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_68]) ).

tff(c_72,plain,
    ! [V_NA_H_40,V_A_H_38] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(V_NA_H_40,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H_38),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_2,c_71]) ).

tff(c_8,plain,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_39,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_8,c_10]) ).

tff(c_43,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_39,c_14]) ).

tff(c_47,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_43,c_14]) ).

tff(c_51,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_47,c_14]) ).

tff(c_55,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_51,c_14]) ).

tff(c_74,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_72,c_55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV299-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 23:28:31 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.13/1.84  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/1.84  
% 3.13/1.84  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.13/1.88  
% 3.13/1.88  Inference rules
% 3.13/1.88  ----------------------
% 3.13/1.88  #Ref     : 0
% 3.13/1.88  #Sup     : 12
% 3.13/1.88  #Fact    : 0
% 3.13/1.88  #Define  : 0
% 3.13/1.88  #Split   : 0
% 3.13/1.88  #Chain   : 0
% 3.13/1.88  #Close   : 0
% 3.13/1.88  
% 3.13/1.88  Ordering : KBO
% 3.13/1.88  
% 3.13/1.88  Simplification rules
% 3.13/1.88  ----------------------
% 3.13/1.88  #Subsume      : 0
% 3.13/1.88  #Demod        : 1
% 3.13/1.88  #Tautology    : 0
% 3.13/1.88  #SimpNegUnit  : 2
% 3.13/1.88  #BackRed      : 1
% 3.13/1.88  
% 3.13/1.88  #Partial instantiations: 0
% 3.13/1.88  #Strategies tried      : 1
% 3.13/1.88  
% 3.13/1.88  Timing (in seconds)
% 3.13/1.88  ----------------------
% 3.13/1.88  Preprocessing        : 0.46
% 3.13/1.88  Parsing              : 0.26
% 3.13/1.88  CNF conversion       : 0.02
% 3.13/1.88  Main loop            : 0.26
% 3.13/1.88  Inferencing          : 0.12
% 3.13/1.88  Reduction            : 0.07
% 3.13/1.88  Demodulation         : 0.05
% 3.13/1.88  BG Simplification    : 0.01
% 3.13/1.88  Subsumption          : 0.04
% 3.13/1.88  Abstraction          : 0.01
% 3.13/1.88  MUC search           : 0.00
% 3.13/1.88  Cooper               : 0.00
% 3.13/1.88  Total                : 0.77
% 3.13/1.88  Index Insertion      : 0.00
% 3.13/1.88  Index Deletion       : 0.00
% 3.13/1.88  Index Matching       : 0.00
% 3.13/1.88  BG Taut test         : 0.00
%------------------------------------------------------------------------------