TSTP Solution File: SWV331-2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV331-2 : 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 : n022.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 11:03:45 EDT 2023
% Result : Unsatisfiable 2.43s 1.61s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 35 ( 11 unt; 18 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 9 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Message_Omsg_OCrypt > c_Event_Oknows > #nlpp > tc_List_Olist > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OKey > c_Message_OkeysFor > c_Event_Oused > v_evs3 > v_NB > v_K > tc_nat > tc_Message_Omsg > tc_Event_Oevent > c_Yahalom_Oyahalom > c_Message_OsymKeys > c_Message_Oagent_OSpy
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(v_K,type,
v_K: $i ).
tff(c_Message_OkeysFor,type,
c_Message_OkeysFor: $i > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(v_NB,type,
v_NB: $i ).
tff(v_evs3,type,
v_evs3: $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(c_Message_OsymKeys,type,
c_Message_OsymKeys: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_nat,type,
tc_nat: $i ).
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(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(c_Yahalom_Oyahalom,type,
c_Yahalom_Oyahalom: $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_28,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_29,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_30,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_38,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [V_K,V_evs] :
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_4,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_6,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_8,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_13,plain,
! [V_K_6,V_H_7,V_X_8] :
( c_in(V_K_6,c_Message_OkeysFor(V_H_7),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_6,V_X_8),V_H_7,tc_Message_Omsg)
| ~ c_in(V_K_6,c_Message_OsymKeys,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_16,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(resolution,[status(thm)],[c_8,c_13]) ).
tff(c_19,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_16]) ).
tff(c_12,plain,
! [V_K_4,V_evs_5] :
( c_in(c_Message_Omsg_OKey(V_K_4),c_Event_Oused(V_evs_5),tc_Message_Omsg)
| ~ c_in(V_evs_5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K_4,c_Message_OsymKeys,tc_nat)
| ~ c_in(V_K_4,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_5))),tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_23,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(resolution,[status(thm)],[c_19,c_12]) ).
tff(c_26,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_23]) ).
tff(c_28,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV331-2 : 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
% 0.13/0.35 % Computer : n022.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 22:56:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.43/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/1.62
% 2.43/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.72/1.66
% 2.72/1.66 Inference rules
% 2.72/1.66 ----------------------
% 2.72/1.66 #Ref : 0
% 2.72/1.66 #Sup : 2
% 2.72/1.66 #Fact : 0
% 2.72/1.66 #Define : 0
% 2.72/1.66 #Split : 0
% 2.72/1.66 #Chain : 0
% 2.72/1.66 #Close : 0
% 2.72/1.66
% 2.72/1.66 Ordering : KBO
% 2.72/1.66
% 2.72/1.66 Simplification rules
% 2.72/1.66 ----------------------
% 2.72/1.66 #Subsume : 0
% 2.72/1.66 #Demod : 3
% 2.72/1.66 #Tautology : 0
% 2.72/1.66 #SimpNegUnit : 1
% 2.72/1.66 #BackRed : 0
% 2.72/1.66
% 2.72/1.66 #Partial instantiations: 0
% 2.72/1.66 #Strategies tried : 1
% 2.72/1.66
% 2.72/1.66 Timing (in seconds)
% 2.72/1.66 ----------------------
% 2.72/1.66 Preprocessing : 0.41
% 2.72/1.66 Parsing : 0.23
% 2.72/1.66 CNF conversion : 0.02
% 2.72/1.66 Main loop : 0.15
% 2.72/1.66 Inferencing : 0.07
% 2.72/1.66 Reduction : 0.04
% 2.72/1.66 Demodulation : 0.03
% 2.72/1.66 BG Simplification : 0.01
% 2.72/1.66 Subsumption : 0.02
% 2.72/1.66 Abstraction : 0.00
% 2.72/1.66 MUC search : 0.00
% 2.72/1.66 Cooper : 0.00
% 2.72/1.66 Total : 0.62
% 2.72/1.66 Index Insertion : 0.00
% 2.72/1.66 Index Deletion : 0.00
% 2.72/1.66 Index Matching : 0.00
% 2.72/1.66 BG Taut test : 0.00
%------------------------------------------------------------------------------