TSTP Solution File: SWV342-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV342-2 : 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 : n014.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 11:03:48 EDT 2023
% Result : Unsatisfiable 3.10s 1.86s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 31
% Syntax : Number of formulae : 48 ( 12 unt; 22 typ; 0 def)
% Number of atoms : 40 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 12 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 41 (; 41 !; 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_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > c_Event_Oused > v_nb > v_na > v_evs3 > v_K > v_B > v_A > tc_Message_Omsg > tc_Event_Oevent > c_Message_Oagent_OSpy > c_Message_Oagent_OServer
%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_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(v_evs3,type,
v_evs3: $i ).
tff(c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(v_na,type,
v_na: $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(v_nb,type,
v_nb: $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_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_28,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_33,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_43,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_60,axiom,
! [V_H] : ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
file(unknown,unknown) ).
tff(f_58,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_53,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(f_48,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_38,axiom,
! [V_c,V_evs] :
( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_2,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_6,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_33]) ).
tff(c_128,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_4,c_6]) ).
tff(c_10,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_43]) ).
tff(c_179,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_128,c_10]) ).
tff(c_18,plain,
! [V_H_18] : ( c_Message_Oparts(c_Message_Oanalz(V_H_18)) = c_Message_Oparts(V_H_18) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28,plain,
! [V_X_20,V_H_21] :
( c_in(V_X_20,c_Message_Oparts(V_H_21),tc_Message_Omsg)
| ~ c_in(V_X_20,V_H_21,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_31,plain,
! [V_X_20,V_H_18] :
( c_in(V_X_20,c_Message_Oparts(V_H_18),tc_Message_Omsg)
| ~ c_in(V_X_20,c_Message_Oanalz(V_H_18),tc_Message_Omsg) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_28]) ).
tff(c_63,plain,
! [V_X_32,V_H_33,V_K_34] :
( c_in(V_X_32,c_Message_Oparts(V_H_33),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_34,V_X_32),c_Message_Oparts(V_H_33),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_75,plain,
! [V_X_32,V_H_18,V_K_34] :
( c_in(V_X_32,c_Message_Oparts(V_H_18),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_34,V_X_32),c_Message_Oanalz(V_H_18),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_31,c_63]) ).
tff(c_206,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_179,c_75]) ).
tff(c_12,plain,
! [V_Y_11,V_H_12,V_X_10] :
( c_in(V_Y_11,c_Message_Oparts(V_H_12),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_10,V_Y_11),c_Message_Oparts(V_H_12),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_227,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_206,c_12]) ).
tff(c_8,plain,
! [V_c_5,V_evs_6] :
( c_in(V_c_5,c_Event_Oused(V_evs_6),tc_Message_Omsg)
| ~ c_in(V_c_5,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_6)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_230,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_227,c_8]) ).
tff(c_234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV342-2 : 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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 23:07:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.10/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.86
% 3.10/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/1.89
% 3.33/1.89 Inference rules
% 3.33/1.89 ----------------------
% 3.33/1.89 #Ref : 0
% 3.33/1.89 #Sup : 46
% 3.33/1.89 #Fact : 0
% 3.33/1.89 #Define : 0
% 3.33/1.89 #Split : 0
% 3.33/1.89 #Chain : 0
% 3.33/1.89 #Close : 0
% 3.33/1.89
% 3.33/1.89 Ordering : KBO
% 3.33/1.89
% 3.33/1.89 Simplification rules
% 3.33/1.89 ----------------------
% 3.33/1.89 #Subsume : 2
% 3.33/1.89 #Demod : 8
% 3.33/1.89 #Tautology : 2
% 3.33/1.89 #SimpNegUnit : 1
% 3.33/1.89 #BackRed : 0
% 3.33/1.89
% 3.33/1.89 #Partial instantiations: 0
% 3.33/1.89 #Strategies tried : 1
% 3.33/1.89
% 3.33/1.89 Timing (in seconds)
% 3.33/1.89 ----------------------
% 3.33/1.90 Preprocessing : 0.43
% 3.33/1.90 Parsing : 0.24
% 3.33/1.90 CNF conversion : 0.02
% 3.33/1.90 Main loop : 0.32
% 3.33/1.90 Inferencing : 0.13
% 3.33/1.90 Reduction : 0.08
% 3.33/1.90 Demodulation : 0.06
% 3.33/1.90 BG Simplification : 0.01
% 3.33/1.90 Subsumption : 0.07
% 3.33/1.90 Abstraction : 0.01
% 3.33/1.90 MUC search : 0.00
% 3.33/1.90 Cooper : 0.00
% 3.33/1.90 Total : 0.79
% 3.33/1.90 Index Insertion : 0.00
% 3.33/1.90 Index Deletion : 0.00
% 3.33/1.90 Index Matching : 0.00
% 3.33/1.90 BG Taut test : 0.00
%------------------------------------------------------------------------------