TSTP Solution File: SWV288-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV288-2 : 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 11:03:32 EDT 2023
% Result : Unsatisfiable 2.96s 1.73s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 35
% Syntax : Number of formulae : 52 ( 14 unt; 26 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 13 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% Number of variables : 36 (; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > v_sko__u7f > 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_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs > v_NA > v_K > v_B_H > v_B > 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(v_K,type,
v_K: $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_B_H,type,
v_B_H: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(v_sko__u7f,type,
v_sko__u7f: ( $i * $i * $i * $i * $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_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_evs,type,
v_evs: $i ).
tff(v_B,type,
v_B: $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_27,axiom,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_38,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_48,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_43,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_29,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_30,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,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(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_61,axiom,
! [V_B,V_NA,V_A,V_K,V_evs] :
( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OMPair(V_NA,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(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),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)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(v_sko__u7f(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_U] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(c_4,plain,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_12,plain,
! [V_X_4,V_evs_5,V_A_2,V_B_3] :
( c_in(V_X_4,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A_2,V_B_3,V_X_4),c_List_Oset(V_evs_5,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_31,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_4,c_12]) ).
tff(c_16,plain,
! [V_c_9,V_H_10] :
( c_in(V_c_9,c_Message_Oparts(V_H_10),tc_Message_Omsg)
| ~ c_in(V_c_9,c_Message_Oanalz(V_H_10),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_20,plain,
! [V_Y_18,V_H_19,V_X_20] :
( c_in(V_Y_18,c_Message_Oparts(V_H_19),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_20,V_Y_18),c_Message_Oparts(V_H_19),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_25,plain,
! [V_Y_18,V_H_10,V_X_20] :
( c_in(V_Y_18,c_Message_Oparts(V_H_10),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_20,V_Y_18),c_Message_Oanalz(V_H_10),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_16,c_20]) ).
tff(c_35,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_31,c_25]) ).
tff(c_6,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_8,plain,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_2,plain,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,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(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_53,plain,
! [V_A_33,V_evs_31,V_B_29,V_K_30,V_NA_32] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B_29,c_Message_Omsg_OMPair(V_NA_32,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_33),c_Message_Omsg_OMPair(V_NA_32,c_Message_Omsg_OKey(V_K_30))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_29),c_Message_Omsg_OMPair(v_sko__u7f(V_A_33,V_B_29,V_K_30,V_NA_32,V_evs_31),c_Message_Omsg_OKey(V_K_30)))))),c_List_Oset(V_evs_31,tc_Event_Oevent),tc_Event_Oevent)
| 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_32,c_Message_Omsg_OKey(V_K_30))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_31)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A_33,V_B_29,c_Message_Omsg_OMPair(V_NA_32,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_33),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_29),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_29)))))))),c_List_Oset(V_evs_31,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_31,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_55,plain,
! [V_K_30] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(V_K_30))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u7f(v_A,v_B,V_K_30,v_NA,v_evs),c_Message_Omsg_OKey(V_K_30)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| 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,c_Message_Omsg_OKey(V_K_30))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_2,c_53]) ).
tff(c_58,plain,
! [V_K_30] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(V_K_30))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u7f(v_A,v_B,V_K_30,v_NA,v_evs),c_Message_Omsg_OKey(V_K_30)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| 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,c_Message_Omsg_OKey(V_K_30))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_55]) ).
tff(c_60,plain,
! [V_K_34] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(V_K_34))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u7f(v_A,v_B,V_K_34,v_NA,v_evs),c_Message_Omsg_OKey(V_K_34)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(V_K_34))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_58]) ).
tff(c_10,plain,
! [V_U_1] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_U_1,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_64,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_60,c_10]) ).
tff(c_71,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV288-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % 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
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:33:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 2.96/1.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.96/1.73
% 2.96/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.13/1.76
% 3.13/1.76 Inference rules
% 3.13/1.76 ----------------------
% 3.13/1.76 #Ref : 0
% 3.13/1.76 #Sup : 10
% 3.13/1.76 #Fact : 0
% 3.13/1.76 #Define : 0
% 3.13/1.76 #Split : 0
% 3.13/1.76 #Chain : 0
% 3.13/1.76 #Close : 0
% 3.13/1.76
% 3.13/1.76 Ordering : KBO
% 3.13/1.76
% 3.13/1.76 Simplification rules
% 3.13/1.76 ----------------------
% 3.13/1.76 #Subsume : 0
% 3.13/1.76 #Demod : 2
% 3.13/1.76 #Tautology : 0
% 3.13/1.76 #SimpNegUnit : 1
% 3.13/1.76 #BackRed : 0
% 3.13/1.76
% 3.13/1.76 #Partial instantiations: 0
% 3.13/1.76 #Strategies tried : 1
% 3.13/1.76
% 3.13/1.76 Timing (in seconds)
% 3.13/1.76 ----------------------
% 3.13/1.77 Preprocessing : 0.46
% 3.13/1.77 Parsing : 0.26
% 3.13/1.77 CNF conversion : 0.02
% 3.13/1.77 Main loop : 0.23
% 3.13/1.77 Inferencing : 0.10
% 3.13/1.77 Reduction : 0.06
% 3.13/1.77 Demodulation : 0.05
% 3.13/1.77 BG Simplification : 0.01
% 3.13/1.77 Subsumption : 0.04
% 3.13/1.77 Abstraction : 0.01
% 3.13/1.77 MUC search : 0.00
% 3.13/1.77 Cooper : 0.00
% 3.13/1.77 Total : 0.74
% 3.13/1.77 Index Insertion : 0.00
% 3.13/1.77 Index Deletion : 0.00
% 3.13/1.77 Index Matching : 0.00
% 3.13/1.77 BG Taut test : 0.00
%------------------------------------------------------------------------------