TSTP Solution File: SWV307-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV307-2 : 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 : n005.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 11:03:37 EDT 2023
% Result : Unsatisfiable 2.21s 1.58s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 33 ( 11 unt; 16 typ; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 9 >; 5 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 16 (; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_Event_Oknows > #nlpp > c_Public_OshrK > c_Message_Oparts > c_Message_Omsg_ONonce > c_Message_Omsg_OAgent > c_Event_Oused > v_evs2 > v_NB > v_NA > v_B > v_A > tc_Message_Omsg > c_Message_Oagent_OSpy
%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_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_NB,type,
v_NB: $i ).
tff(v_evs2,type,
v_evs2: $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(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_B,type,
v_B: $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_A,type,
v_A: $i ).
tff(f_29,axiom,
v_NA = c_Message_Omsg_ONonce(v_NB),
file(unknown,unknown) ).
tff(f_27,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_28,axiom,
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_evs2)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_44,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_39,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_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_34,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_6,plain,
c_Message_Omsg_ONonce(v_NB) = v_NA,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_13,plain,
~ c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_4,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_evs2)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_12,plain,
! [V_X_7,V_H_8,V_K_6] :
( c_in(V_X_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_6,V_X_7),c_Message_Oparts(V_H_8),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_28,plain,
c_in(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_evs2)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_4,c_12]) ).
tff(c_10,plain,
! [V_X_3,V_H_5,V_Y_4] :
( c_in(V_X_3,c_Message_Oparts(V_H_5),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_3,V_Y_4),c_Message_Oparts(V_H_5),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_36,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_28,c_10]) ).
tff(c_8,plain,
! [V_c_1,V_evs_2] :
( c_in(V_c_1,c_Event_Oused(V_evs_2),tc_Message_Omsg)
| ~ c_in(V_c_1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_2)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_39,plain,
c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_36,c_8]) ).
tff(c_43,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13,c_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV307-2 : 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 : n005.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 22:57:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 2.21/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/1.58
% 2.21/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.67/1.62
% 2.67/1.62 Inference rules
% 2.67/1.62 ----------------------
% 2.67/1.62 #Ref : 0
% 2.67/1.62 #Sup : 7
% 2.67/1.62 #Fact : 0
% 2.67/1.62 #Define : 0
% 2.67/1.62 #Split : 0
% 2.67/1.62 #Chain : 0
% 2.67/1.62 #Close : 0
% 2.67/1.62
% 2.67/1.62 Ordering : KBO
% 2.67/1.62
% 2.67/1.62 Simplification rules
% 2.67/1.62 ----------------------
% 2.67/1.62 #Subsume : 0
% 2.67/1.62 #Demod : 1
% 2.67/1.62 #Tautology : 2
% 2.67/1.62 #SimpNegUnit : 1
% 2.67/1.62 #BackRed : 0
% 2.67/1.62
% 2.67/1.62 #Partial instantiations: 0
% 2.67/1.62 #Strategies tried : 1
% 2.67/1.62
% 2.67/1.62 Timing (in seconds)
% 2.67/1.62 ----------------------
% 2.67/1.62 Preprocessing : 0.40
% 2.67/1.62 Parsing : 0.22
% 2.67/1.62 CNF conversion : 0.02
% 2.67/1.62 Main loop : 0.16
% 2.67/1.62 Inferencing : 0.07
% 2.67/1.62 Reduction : 0.04
% 2.67/1.62 Demodulation : 0.03
% 2.67/1.62 BG Simplification : 0.01
% 2.67/1.63 Subsumption : 0.03
% 2.67/1.63 Abstraction : 0.01
% 2.67/1.63 MUC search : 0.00
% 2.67/1.63 Cooper : 0.00
% 2.67/1.63 Total : 0.62
% 2.67/1.63 Index Insertion : 0.00
% 2.67/1.63 Index Deletion : 0.00
% 2.67/1.63 Index Matching : 0.00
% 2.67/1.63 BG Taut test : 0.00
%------------------------------------------------------------------------------