TSTP Solution File: SWV293-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV293-2 : 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 : n010.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 11:03:33 EDT 2023
% Result : Unsatisfiable 3.07s 1.78s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 52 ( 14 unt; 23 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 13 >; 11 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 41 (; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > v_sko__usf > 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_Oparts > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evs > v_NA > 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(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(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $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(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(v_A,type,
v_A: $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(f_28,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_29,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_OGets(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_59,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_64,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_41,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_36,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_51,axiom,
! [V_evs,V_A,V_NA,V_B] :
( ~ 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,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)
| 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_31,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(c_4,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_6,plain,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
c_in(c_Event_Oevent_OGets(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_28,plain,
! [V_B_29,V_X_30,V_evs_31] :
( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B_29,V_X_30,V_evs_31),V_B_29,V_X_30),c_List_Oset(V_evs_31,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(V_B_29,V_X_30),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_59]) ).
tff(c_18,plain,
! [V_X_15,V_evs_16,V_A_13,V_B_14] :
( c_in(V_X_15,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_16)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A_13,V_B_14,V_X_15),c_List_Oset(V_evs_16,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_33,plain,
! [V_X_32,V_evs_33,V_B_34] :
( c_in(V_X_32,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_33)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B_34,V_X_32),c_List_Oset(V_evs_33,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs_33,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_28,c_18]) ).
tff(c_36,plain,
( c_in(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_Message_Oanalz(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_33]) ).
tff(c_39,plain,
c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_36]) ).
tff(c_12,plain,
! [V_c_4,V_H_5] :
( c_in(V_c_4,c_Message_Oparts(V_H_5),tc_Message_Omsg)
| ~ c_in(V_c_4,c_Message_Oanalz(V_H_5),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_20,plain,
! [V_Y_19,V_H_20,V_X_21] :
( c_in(V_Y_19,c_Message_Oparts(V_H_20),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_21,V_Y_19),c_Message_Oparts(V_H_20),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_25,plain,
! [V_Y_19,V_H_5,V_X_21] :
( c_in(V_Y_19,c_Message_Oparts(V_H_5),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_21,V_Y_19),c_Message_Oanalz(V_H_5),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_12,c_20]) ).
tff(c_43,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(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),
inference(resolution,[status(thm)],[c_39,c_25]) ).
tff(c_10,plain,
! [V_Y_2,V_H_3,V_X_1] :
( c_in(V_Y_2,c_Message_Oparts(V_H_3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_1,V_Y_2),c_Message_Oparts(V_H_3),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_47,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(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),
inference(resolution,[status(thm)],[c_43,c_10]) ).
tff(c_51,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_evs)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_47,c_10]) ).
tff(c_52,plain,
! [V_A_35,V_B_36,V_NA_37,V_evs_38] :
( c_in(c_Event_Oevent_OSays(V_A_35,V_B_36,c_Message_Omsg_OMPair(V_NA_37,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_35),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_36),c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_35),c_Message_Omsg_OMPair(V_NA_37,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_35),c_Message_Omsg_OAgent(V_B_36)))))))),c_List_Oset(V_evs_38,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A_35,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_35),c_Message_Omsg_OMPair(V_NA_37,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_35),c_Message_Omsg_OAgent(V_B_36)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_38)),tc_Message_Omsg)
| ~ c_in(V_evs_38,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_8,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_31]) ).
tff(c_55,plain,
( 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_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_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_52,c_8]) ).
tff(c_61,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_51,c_55]) ).
tff(c_63,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV293-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:49:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.07/1.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.79
% 3.07/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.07/1.82
% 3.07/1.82 Inference rules
% 3.07/1.82 ----------------------
% 3.07/1.82 #Ref : 0
% 3.07/1.82 #Sup : 8
% 3.07/1.82 #Fact : 0
% 3.07/1.82 #Define : 0
% 3.07/1.82 #Split : 0
% 3.07/1.82 #Chain : 0
% 3.07/1.82 #Close : 0
% 3.07/1.82
% 3.07/1.82 Ordering : KBO
% 3.07/1.82
% 3.07/1.82 Simplification rules
% 3.07/1.82 ----------------------
% 3.07/1.82 #Subsume : 0
% 3.07/1.82 #Demod : 3
% 3.07/1.82 #Tautology : 0
% 3.07/1.82 #SimpNegUnit : 1
% 3.07/1.82 #BackRed : 0
% 3.07/1.82
% 3.07/1.82 #Partial instantiations: 0
% 3.07/1.82 #Strategies tried : 1
% 3.07/1.82
% 3.07/1.82 Timing (in seconds)
% 3.07/1.82 ----------------------
% 3.07/1.82 Preprocessing : 0.47
% 3.07/1.82 Parsing : 0.26
% 3.07/1.82 CNF conversion : 0.02
% 3.07/1.82 Main loop : 0.26
% 3.07/1.82 Inferencing : 0.14
% 3.07/1.82 Reduction : 0.05
% 3.07/1.82 Demodulation : 0.04
% 3.07/1.82 BG Simplification : 0.01
% 3.07/1.83 Subsumption : 0.04
% 3.07/1.83 Abstraction : 0.01
% 3.07/1.83 MUC search : 0.00
% 3.07/1.83 Cooper : 0.00
% 3.07/1.83 Total : 0.78
% 3.07/1.83 Index Insertion : 0.00
% 3.07/1.83 Index Deletion : 0.00
% 3.07/1.83 Index Matching : 0.00
% 3.07/1.83 BG Taut test : 0.00
%------------------------------------------------------------------------------