TSTP Solution File: SWV326-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV326-2 : 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 : n016.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 11:03:43 EDT 2023
% Result : Unsatisfiable 2.75s 1.79s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 49 ( 18 unt; 19 typ; 0 def)
% Number of atoms : 42 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 18 ( 18 usr; 10 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_evs1 > v_NAa > v_NA > v_C > v_Ba > v_B > v_Aa > 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(v_evs1,type,
v_evs1: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(v_NAa,type,
v_NAa: $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(v_NA,type,
v_NA: $i ).
tff(v_Aa,type,
v_Aa: $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(v_Ba,type,
v_Ba: $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_A,type,
v_A: $i ).
tff(v_C,type,
v_C: $i ).
tff(f_51,axiom,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file(unknown,unknown) ).
tff(f_42,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_45,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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ( v_C = v_Ba ) ),
file(unknown,unknown) ).
tff(f_40,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_35,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_30,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(f_46,axiom,
v_A = v_Aa,
file(unknown,unknown) ).
tff(f_50,axiom,
( ( v_Ba != v_C )
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_16,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_8,plain,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_19,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_8]) ).
tff(c_10,plain,
( ( v_C = v_Ba )
| 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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_31,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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_6,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_40]) ).
tff(c_38,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_31,c_6]) ).
tff(c_4,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_35]) ).
tff(c_47,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_38,c_4]) ).
tff(c_2,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_30]) ).
tff(c_50,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_47,c_2]) ).
tff(c_54,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_50]) ).
tff(c_55,plain,
v_C = v_Ba,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
v_Aa = v_A,
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_14,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ( v_C != v_Ba ) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_17,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ( v_C != v_Ba ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14]) ).
tff(c_18,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_evs1)),tc_Message_Omsg)
| ( v_C != v_Ba ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_12,c_17]) ).
tff(c_63,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_evs1)),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_55,c_18]) ).
tff(c_70,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_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_63,c_6]) ).
tff(c_79,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_70,c_4]) ).
tff(c_82,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_79,c_2]) ).
tff(c_86,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV326-2 : 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
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 23:11:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 2.75/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.75/1.79
% 2.75/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.99/1.82
% 2.99/1.82 Inference rules
% 2.99/1.82 ----------------------
% 2.99/1.82 #Ref : 0
% 2.99/1.82 #Sup : 16
% 2.99/1.82 #Fact : 0
% 2.99/1.82 #Define : 0
% 2.99/1.82 #Split : 1
% 2.99/1.82 #Chain : 0
% 2.99/1.82 #Close : 0
% 2.99/1.82
% 2.99/1.82 Ordering : KBO
% 2.99/1.82
% 2.99/1.82 Simplification rules
% 2.99/1.82 ----------------------
% 2.99/1.82 #Subsume : 0
% 2.99/1.82 #Demod : 6
% 2.99/1.82 #Tautology : 6
% 2.99/1.82 #SimpNegUnit : 2
% 2.99/1.82 #BackRed : 0
% 2.99/1.82
% 2.99/1.82 #Partial instantiations: 0
% 2.99/1.82 #Strategies tried : 1
% 2.99/1.82
% 2.99/1.82 Timing (in seconds)
% 2.99/1.82 ----------------------
% 2.99/1.83 Preprocessing : 0.44
% 2.99/1.83 Parsing : 0.24
% 2.99/1.83 CNF conversion : 0.02
% 2.99/1.83 Main loop : 0.19
% 2.99/1.83 Inferencing : 0.07
% 2.99/1.83 Reduction : 0.05
% 2.99/1.83 Demodulation : 0.04
% 2.99/1.83 BG Simplification : 0.01
% 2.99/1.83 Subsumption : 0.03
% 2.99/1.83 Abstraction : 0.01
% 2.99/1.83 MUC search : 0.00
% 2.99/1.83 Cooper : 0.00
% 2.99/1.83 Total : 0.69
% 2.99/1.83 Index Insertion : 0.00
% 2.99/1.83 Index Deletion : 0.00
% 2.99/1.83 Index Matching : 0.00
% 2.99/1.83 BG Taut test : 0.00
%------------------------------------------------------------------------------