TSTP Solution File: SWV323-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV323-2 : 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 : n011.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 3.59s 1.92s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 47
% Syntax : Number of formulae : 86 ( 19 unt; 30 typ; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 95 ( 49 ~; 46 |; 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 : 32 ( 17 >; 15 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 13 con; 0-3 aty)
% Number of variables : 77 (; 77 !; 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_Oanalz > v_evs4 > v_X > v_NB > v_NA > v_K > 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(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(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(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(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_31,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_72,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_95,axiom,
! [V_A,V_evs] :
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_39,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_27,axiom,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_90,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_44,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_82,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_67,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_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_62,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_52,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_102,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_57,axiom,
! [V_K,V_H] :
( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [V_a,V_B,T_a,V_b] :
( ~ c_in(V_a,V_B,T_a)
| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_36,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_6,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_46,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_22,plain,
! [V_c_16,V_H_17] :
( c_in(V_c_16,c_Message_Oparts(V_H_17),tc_Message_Omsg)
| ~ c_in(V_c_16,c_Message_Oanalz(V_H_17),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_53,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(resolution,[status(thm)],[c_22,c_46]) ).
tff(c_30,plain,
! [V_A_25,V_evs_26] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_25)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_26),tc_Message_Omsg)
| ~ c_in(V_A_25,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_24,plain,
! [V_X_18,V_H_19] :
( c_in(V_X_18,c_Message_Oparts(V_H_19),tc_Message_Omsg)
| ~ c_in(V_X_18,V_H_19,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_54,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_24,c_46]) ).
tff(c_63,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolution,[status(thm)],[c_30,c_54]) ).
tff(c_10,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_39]) ).
tff(c_73,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_63,c_10]) ).
tff(c_2,plain,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_4,plain,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_27]) ).
tff(c_95,plain,
! [V_B_81,V_X_82,V_evs_83] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B_81,V_X_82,V_evs_83),V_B_81,V_X_82),c_List_Oset(V_evs_83,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(V_B_81,V_X_82),c_List_Oset(V_evs_83,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_83,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_12,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_44]) ).
tff(c_100,plain,
! [V_X_84,V_evs_85,V_B_86] :
( c_in(V_X_84,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_85)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B_86,V_X_84),c_List_Oset(V_evs_85,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_85,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_95,c_12]) ).
tff(c_103,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_4,c_100]) ).
tff(c_106,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_2,c_103]) ).
tff(c_26,plain,
! [V_X_20,V_H_21] :
( c_in(V_X_20,c_Message_Osynth(V_H_21),tc_Message_Omsg)
| ~ c_in(V_X_20,V_H_21,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_55,plain,
! [V_Y_49,V_H_50,V_X_51] :
( c_in(V_Y_49,c_Message_Osynth(c_Message_Oanalz(V_H_50)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_51,V_Y_49),c_Message_Osynth(c_Message_Oanalz(V_H_50)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_59,plain,
! [V_Y_49,V_H_50,V_X_51] :
( c_in(V_Y_49,c_Message_Osynth(c_Message_Oanalz(V_H_50)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_51,V_Y_49),c_Message_Oanalz(V_H_50),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_26,c_55]) ).
tff(c_117,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_106,c_59]) ).
tff(c_18,plain,
! [V_X_10,V_H_12,V_Y_11] :
( c_in(V_X_10,c_Message_Osynth(c_Message_Oanalz(V_H_12)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_10,V_Y_11),c_Message_Osynth(c_Message_Oanalz(V_H_12)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_135,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_117,c_18]) ).
tff(c_14,plain,
! [V_Z_5,V_H_7,V_X_6] :
( c_in(V_Z_5,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_7)),c_Message_Oparts(V_H_7),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X_6,c_Message_Osynth(c_Message_Oanalz(V_H_7)),tc_Message_Omsg)
| ~ c_in(V_Z_5,c_Message_Oparts(c_insert(V_X_6,V_H_7,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_155,plain,
! [V_Z_90] :
( c_in(V_Z_90,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_90,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_135,c_14]) ).
tff(c_32,plain,
! [V_c_27,V_A_28,T_a_30,V_B_29] :
( c_in(V_c_27,V_A_28,T_a_30)
| c_in(V_c_27,V_B_29,T_a_30)
| ~ c_in(V_c_27,c_union(V_A_28,V_B_29,T_a_30),T_a_30) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_160,plain,
! [V_Z_91] :
( c_in(V_Z_91,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(V_Z_91,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(V_Z_91,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_155,c_32]) ).
tff(c_16,plain,
! [V_K_8,V_H_9] :
( c_in(c_Message_Omsg_OKey(V_K_8),V_H_9,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K_8),c_Message_Osynth(V_H_9),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_197,plain,
! [V_K_95] :
( c_in(c_Message_Omsg_OKey(V_K_95),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K_95),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K_95),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_160,c_16]) ).
tff(c_200,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_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_73,c_197]) ).
tff(c_210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_53,c_200]) ).
tff(c_211,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_34,plain,
! [V_a_31,V_b_34,V_B_32,T_a_33] :
( c_in(V_a_31,c_insert(V_b_34,V_B_32,T_a_33),T_a_33)
| ~ c_in(V_a_31,V_B_32,T_a_33) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_8,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_229,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_211,c_8]) ).
tff(c_237,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_24,c_229]) ).
tff(c_241,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_34,c_237]) ).
tff(c_244,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolution,[status(thm)],[c_30,c_241]) ).
tff(c_248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_211,c_244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV323-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:43:51 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.59/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.79/1.93
% 3.79/1.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.79/1.96
% 3.79/1.96 Inference rules
% 3.79/1.96 ----------------------
% 3.79/1.96 #Ref : 0
% 3.79/1.96 #Sup : 41
% 3.79/1.96 #Fact : 0
% 3.79/1.96 #Define : 0
% 3.79/1.96 #Split : 2
% 3.79/1.96 #Chain : 0
% 3.79/1.96 #Close : 0
% 3.79/1.96
% 3.79/1.96 Ordering : KBO
% 3.79/1.96
% 3.79/1.96 Simplification rules
% 3.79/1.96 ----------------------
% 3.79/1.96 #Subsume : 3
% 3.79/1.96 #Demod : 5
% 3.79/1.96 #Tautology : 2
% 3.79/1.96 #SimpNegUnit : 2
% 3.79/1.96 #BackRed : 0
% 3.79/1.96
% 3.79/1.96 #Partial instantiations: 0
% 3.79/1.96 #Strategies tried : 1
% 3.90/1.96
% 3.90/1.96 Timing (in seconds)
% 3.90/1.96 ----------------------
% 3.90/1.97 Preprocessing : 0.47
% 3.90/1.97 Parsing : 0.26
% 3.90/1.97 CNF conversion : 0.02
% 3.90/1.97 Main loop : 0.40
% 3.90/1.97 Inferencing : 0.18
% 3.90/1.97 Reduction : 0.09
% 3.90/1.97 Demodulation : 0.06
% 3.90/1.97 BG Simplification : 0.02
% 3.90/1.97 Subsumption : 0.10
% 3.90/1.97 Abstraction : 0.01
% 3.90/1.97 MUC search : 0.00
% 3.90/1.97 Cooper : 0.00
% 3.90/1.97 Total : 0.93
% 3.90/1.97 Index Insertion : 0.00
% 3.90/1.97 Index Deletion : 0.00
% 3.90/1.97 Index Matching : 0.00
% 3.90/1.97 BG Taut test : 0.00
%------------------------------------------------------------------------------