TSTP Solution File: SWV327-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV327-2 : 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 : n016.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 11:03:44 EDT 2023
% Result : Unsatisfiable 3.89s 1.98s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 51
% Syntax : Number of formulae : 96 ( 25 unt; 34 typ; 0 def)
% Number of atoms : 121 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 113 ( 54 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 18 >; 15 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-3 aty)
% Number of variables : 74 (; 74 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > v_sko__usf > c_union > c_insert > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > c_Event_Oevent_OGets > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs4 > v_X > v_NB > v_NAa > v_NA > v_K > v_C > v_Ba > 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_K,type,
v_K: $i ).
tff(v_evs4,type,
v_evs4: $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(v_NAa,type,
v_NAa: $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(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_sko__usf,type,
v_sko__usf: ( $i * $i * $i ) > $i ).
tff(v_Ba,type,
v_Ba: $i ).
tff(c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: ( $i * $i ) > $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(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_evs4,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_evs4)),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_evs4)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_70,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_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_29,axiom,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_83,axiom,
! [V_evs,V_B,V_X] :
( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file(unknown,unknown) ).
tff(f_96,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_60,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_75,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),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_103,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_91,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_evs4),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_evs4,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_evs4)),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_evs4)),tc_Message_Omsg)
| ( v_C = v_B ) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_35,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_evs4)),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_evs4)),tc_Message_Omsg) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_14]) ).
tff(c_110,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_evs4)),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_35]) ).
tff(c_24,plain,
! [V_c_13,V_H_14] :
( c_in(V_c_13,c_Message_Oparts(V_H_14),tc_Message_Omsg)
| ~ c_in(V_c_13,c_Message_Oanalz(V_H_14),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_114,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_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_24,c_110]) ).
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_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6,plain,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_76,plain,
! [V_B_67,V_X_68,V_evs_69] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B_67,V_X_68,V_evs_69),V_B_67,V_X_68),c_List_Oset(V_evs_69,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(V_B_67,V_X_68),c_List_Oset(V_evs_69,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_69,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32,plain,
! [V_X_24,V_evs_25,V_A_22,V_B_23] :
( c_in(V_X_24,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A_22,V_B_23,V_X_24),c_List_Oset(V_evs_25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_81,plain,
! [V_X_70,V_evs_71,V_B_72] :
( c_in(V_X_70,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_71)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B_72,V_X_70),c_List_Oset(V_evs_71,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_71,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_76,c_32]) ).
tff(c_84,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_6,c_81]) ).
tff(c_87,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_84]) ).
tff(c_20,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_60]) ).
tff(c_95,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_87,c_20]) ).
tff(c_26,plain,
! [V_X_15,V_H_16] :
( c_in(V_X_15,c_Message_Osynth(V_H_16),tc_Message_Omsg)
| ~ c_in(V_X_15,V_H_16,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_39,plain,
! [V_X_37,V_H_38,V_Y_39] :
( c_in(V_X_37,c_Message_Osynth(c_Message_Oanalz(V_H_38)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_37,V_Y_39),c_Message_Osynth(c_Message_Oanalz(V_H_38)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_43,plain,
! [V_X_37,V_H_38,V_Y_39] :
( c_in(V_X_37,c_Message_Osynth(c_Message_Oanalz(V_H_38)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_37,V_Y_39),c_Message_Oanalz(V_H_38),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_26,c_39]) ).
tff(c_105,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_95,c_43]) ).
tff(c_18,plain,
! [V_Z_4,V_H_6,V_X_5] :
( c_in(V_Z_4,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_6)),c_Message_Oparts(V_H_6),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X_5,c_Message_Osynth(c_Message_Oanalz(V_H_6)),tc_Message_Omsg)
| ~ c_in(V_Z_4,c_Message_Oparts(c_insert(V_X_5,V_H_6,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_115,plain,
! [V_Z_73] :
( c_in(V_Z_73,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_Z_73,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_105,c_18]) ).
tff(c_34,plain,
! [V_c_26,V_A_27,T_a_29,V_B_28] :
( c_in(V_c_26,V_A_27,T_a_29)
| c_in(V_c_26,V_B_28,T_a_29)
| ~ c_in(V_c_26,c_union(V_A_27,V_B_28,T_a_29),T_a_29) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_125,plain,
! [V_Z_75] :
( c_in(V_Z_75,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(V_Z_75,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(V_Z_75,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_115,c_34]) ).
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_153,plain,
! [V_K_82,V_X_83] :
( c_in(c_Message_Omsg_OKey(V_K_82),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_82,V_X_83),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_82,V_X_83),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_82,V_X_83),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_125,c_16]) ).
tff(c_156,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),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_evs4)),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_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_153]) ).
tff(c_165,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_110,c_114,c_156]) ).
tff(c_53,plain,
! [V_A_54,V_evs_55] :
( c_in(V_A_54,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_54)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_55)),tc_Message_Omsg)
| ~ c_in(V_evs_55,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_57,plain,
! [V_A_54,V_evs_55] :
( c_in(V_A_54,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs_55,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_54)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_55)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_24,c_53]) ).
tff(c_170,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_165,c_57]) ).
tff(c_173,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_170]) ).
tff(c_175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_173]) ).
tff(c_176,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_evs4)),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_35]) ).
tff(c_181,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_evs4)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_24,c_176]) ).
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_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_183,plain,
! [V_Z_84] :
( c_in(V_Z_84,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_Z_84,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_105,c_18]) ).
tff(c_193,plain,
! [V_Z_86] :
( c_in(V_Z_86,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(V_Z_86,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(V_Z_86,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_183,c_34]) ).
tff(c_220,plain,
! [V_K_93,V_X_94] :
( c_in(c_Message_Omsg_OKey(V_K_93),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_93,V_X_94),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_93,V_X_94),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_93,V_X_94),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_193,c_16]) ).
tff(c_226,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),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_evs4)),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_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_8,c_220]) ).
tff(c_234,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_176,c_181,c_226]) ).
tff(c_238,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_234,c_57]) ).
tff(c_241,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_238]) ).
tff(c_243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV327-2 : 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
% 0.18/0.35 % Computer : n016.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 23:25:08 EDT 2023
% 0.18/0.35 % CPUTime :
% 3.89/1.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.89/1.99
% 3.89/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.89/2.03
% 3.89/2.03 Inference rules
% 3.89/2.03 ----------------------
% 3.89/2.03 #Ref : 0
% 3.89/2.03 #Sup : 39
% 3.89/2.03 #Fact : 0
% 3.89/2.03 #Define : 0
% 3.89/2.03 #Split : 3
% 3.89/2.03 #Chain : 0
% 3.89/2.03 #Close : 0
% 3.89/2.03
% 3.89/2.03 Ordering : KBO
% 3.89/2.03
% 3.89/2.03 Simplification rules
% 3.89/2.03 ----------------------
% 3.89/2.03 #Subsume : 2
% 3.89/2.03 #Demod : 4
% 3.89/2.03 #Tautology : 2
% 3.89/2.03 #SimpNegUnit : 5
% 3.89/2.03 #BackRed : 0
% 3.89/2.03
% 3.89/2.03 #Partial instantiations: 0
% 3.89/2.03 #Strategies tried : 1
% 3.89/2.03
% 3.89/2.03 Timing (in seconds)
% 3.89/2.03 ----------------------
% 3.89/2.03 Preprocessing : 0.51
% 3.89/2.03 Parsing : 0.29
% 3.89/2.03 CNF conversion : 0.02
% 3.89/2.03 Main loop : 0.41
% 3.89/2.03 Inferencing : 0.18
% 3.89/2.03 Reduction : 0.10
% 3.89/2.03 Demodulation : 0.07
% 3.89/2.03 BG Simplification : 0.02
% 3.89/2.03 Subsumption : 0.09
% 3.89/2.03 Abstraction : 0.01
% 3.89/2.03 MUC search : 0.00
% 3.89/2.03 Cooper : 0.00
% 3.89/2.03 Total : 0.98
% 3.89/2.03 Index Insertion : 0.00
% 3.89/2.03 Index Deletion : 0.00
% 3.89/2.04 Index Matching : 0.00
% 3.89/2.04 BG Taut test : 0.00
%------------------------------------------------------------------------------