TSTP Solution File: SWV319-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV319-2 : 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 : n029.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 11:03:41 EDT 2023
% Result : Unsatisfiable 2.98s 1.96s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 51 ( 13 unt; 24 typ; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 11 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 30 (; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > #nlpp > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_Oanalz > v_evso > v_X > v_NB > v_NA > v_K > v_B > v_A > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > 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(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_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_evso,type,
v_evso: $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_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(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_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_28,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_35,axiom,
( ( c_Public_OshrK(v_A) = v_K )
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(f_32,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_evso)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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_evso,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_40,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_55,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_50,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_60,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_4,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_8,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Public_OshrK(v_A) = v_K ) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_19,plain,
c_Public_OshrK(v_A) = v_K,
inference(negUnitSimplification,[status(thm)],[c_4,c_8]) ).
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_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_20,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_4,c_6]) ).
tff(c_21,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_19,c_20]) ).
tff(c_2,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_26]) ).
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_40]) ).
tff(c_50,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_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_2,c_10]) ).
tff(c_16,plain,
! [V_X_11,V_H_12] :
( c_in(V_X_11,c_Message_Oparts(V_H_12),tc_Message_Omsg)
| ~ c_in(V_X_11,c_Message_Oanalz(V_H_12),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_32,plain,
! [V_Y_21,V_H_22,V_X_23] :
( c_in(V_Y_21,c_Message_Oparts(V_H_22),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_23,V_Y_21),c_Message_Oparts(V_H_22),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_37,plain,
! [V_Y_21,V_H_12,V_X_23] :
( c_in(V_Y_21,c_Message_Oparts(V_H_12),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_23,V_Y_21),c_Message_Oanalz(V_H_12),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_16,c_32]) ).
tff(c_57,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_50,c_37]) ).
tff(c_14,plain,
! [V_Y_9,V_H_10,V_X_8] :
( c_in(V_Y_9,c_Message_Oparts(V_H_10),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_8,V_Y_9),c_Message_Oparts(V_H_10),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_62,plain,
c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_57,c_14]) ).
tff(c_18,plain,
! [V_X_14,V_H_15,V_K_13] :
( c_in(V_X_14,c_Message_Oparts(V_H_15),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_13,V_X_14),c_Message_Oparts(V_H_15),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_66,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_62,c_18]) ).
tff(c_78,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_66,c_14]) ).
tff(c_82,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV319-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % 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
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Thu Aug 3 22:48:52 EDT 2023
% 0.15/0.31 % CPUTime :
% 2.98/1.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/1.97
% 2.98/1.97 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.98/2.02
% 2.98/2.02 Inference rules
% 2.98/2.02 ----------------------
% 2.98/2.02 #Ref : 0
% 2.98/2.02 #Sup : 13
% 2.98/2.02 #Fact : 0
% 2.98/2.02 #Define : 0
% 2.98/2.02 #Split : 0
% 2.98/2.02 #Chain : 0
% 2.98/2.02 #Close : 0
% 2.98/2.02
% 2.98/2.02 Ordering : KBO
% 2.98/2.02
% 2.98/2.02 Simplification rules
% 2.98/2.02 ----------------------
% 2.98/2.02 #Subsume : 0
% 2.98/2.02 #Demod : 2
% 2.98/2.02 #Tautology : 3
% 2.98/2.02 #SimpNegUnit : 3
% 2.98/2.02 #BackRed : 0
% 2.98/2.02
% 2.98/2.02 #Partial instantiations: 0
% 2.98/2.02 #Strategies tried : 1
% 2.98/2.02
% 2.98/2.02 Timing (in seconds)
% 2.98/2.02 ----------------------
% 2.98/2.03 Preprocessing : 0.54
% 2.98/2.03 Parsing : 0.32
% 2.98/2.03 CNF conversion : 0.02
% 2.98/2.03 Main loop : 0.29
% 2.98/2.03 Inferencing : 0.15
% 2.98/2.03 Reduction : 0.06
% 2.98/2.03 Demodulation : 0.04
% 2.98/2.03 BG Simplification : 0.01
% 2.98/2.03 Subsumption : 0.04
% 2.98/2.03 Abstraction : 0.01
% 2.98/2.03 MUC search : 0.00
% 2.98/2.03 Cooper : 0.00
% 2.98/2.03 Total : 0.90
% 2.98/2.03 Index Insertion : 0.00
% 2.98/2.03 Index Deletion : 0.00
% 2.98/2.03 Index Matching : 0.00
% 2.98/2.03 BG Taut test : 0.00
%------------------------------------------------------------------------------