TSTP Solution File: SWV291-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV291-2 : 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 : 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 11:03:32 EDT 2023
% Result : Unsatisfiable 3.16s 1.72s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 59 ( 15 unt; 26 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 28 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 15 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 11 con; 0-3 aty)
% Number of variables : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > c_insert > c_Event_Oevent_OSays > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Oset > c_Event_Oknows > #nlpp > tc_List_Olist > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_OKey > c_Message_Omsg_OAgent > c_Message_Oanalz > v_evsf > v_X > 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(v_X,type,
v_X: $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_Osynth,type,
c_Message_Osynth: $i > $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_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_B,type,
v_B: $i ).
tff(v_evsf,type,
v_evsf: $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_27,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file(unknown,unknown) ).
tff(f_28,axiom,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file(unknown,unknown) ).
tff(f_32,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
file(unknown,unknown) ).
tff(f_36,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_evsf,tc_Event_Oevent),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_evsf)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_56,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_30,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_29,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_51,axiom,
! [V_Z,V_X,V_H] :
( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [V_evs,V_A] :
( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),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) ),
file(unknown,unknown) ).
tff(c_2,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_10,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_12,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_evsf)),tc_Message_Omsg)
| 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_23,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_evsf)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_10,c_12]) ).
tff(c_18,plain,
! [V_c_7,V_H_8] :
( c_in(V_c_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
| ~ c_in(V_c_7,c_Message_Oanalz(V_H_8),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_29,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_18,c_23]) ).
tff(c_8,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_37,plain,
! [V_Z_28,V_H_29,V_X_30] :
( c_in(V_Z_28,c_union(c_Message_Osynth(c_Message_Oanalz(V_H_29)),c_Message_Oparts(V_H_29),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X_30,c_Message_Osynth(c_Message_Oanalz(V_H_29)),tc_Message_Omsg)
| ~ c_in(V_Z_28,c_Message_Oparts(c_insert(V_X_30,V_H_29,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_41,plain,
! [V_Z_31] :
( c_in(V_Z_31,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_Z_31,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_6,c_37]) ).
tff(c_22,plain,
! [V_c_11,V_A_12,T_a_14,V_B_13] :
( c_in(V_c_11,V_A_12,T_a_14)
| c_in(V_c_11,V_B_13,T_a_14)
| ~ c_in(V_c_11,c_union(V_A_12,V_B_13,T_a_14),T_a_14) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_46,plain,
! [V_Z_32] :
( c_in(V_Z_32,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(V_Z_32,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(V_Z_32,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_41,c_22]) ).
tff(c_14,plain,
! [V_K_1,V_H_3,V_X_2] :
( c_in(c_Message_Omsg_OKey(V_K_1),V_H_3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_1,V_X_2),V_H_3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_1,V_X_2),c_Message_Osynth(V_H_3),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_55,plain,
! [V_K_33,V_X_34] :
( c_in(c_Message_Omsg_OKey(V_K_33),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_34),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_34),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_34),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_46,c_14]) ).
tff(c_58,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| 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_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_8,c_55]) ).
tff(c_64,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_23,c_29,c_58]) ).
tff(c_30,plain,
! [V_A_21,V_evs_22] :
( c_in(V_A_21,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_21)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_22)),tc_Message_Omsg)
| ~ c_in(V_evs_22,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_34,plain,
! [V_A_21,V_evs_22] :
( c_in(V_A_21,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs_22,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_21)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_22)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_18,c_30]) ).
tff(c_68,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[c_64,c_34]) ).
tff(c_71,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68]) ).
tff(c_73,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV291-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 22:44:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.16/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/1.72
% 3.16/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.16/1.76
% 3.16/1.76 Inference rules
% 3.16/1.76 ----------------------
% 3.16/1.76 #Ref : 0
% 3.16/1.76 #Sup : 9
% 3.16/1.76 #Fact : 0
% 3.16/1.76 #Define : 0
% 3.16/1.76 #Split : 0
% 3.16/1.76 #Chain : 0
% 3.16/1.76 #Close : 0
% 3.16/1.76
% 3.16/1.76 Ordering : KBO
% 3.16/1.76
% 3.16/1.76 Simplification rules
% 3.16/1.76 ----------------------
% 3.16/1.76 #Subsume : 0
% 3.16/1.76 #Demod : 1
% 3.16/1.76 #Tautology : 0
% 3.16/1.76 #SimpNegUnit : 3
% 3.16/1.76 #BackRed : 0
% 3.16/1.76
% 3.16/1.76 #Partial instantiations: 0
% 3.16/1.76 #Strategies tried : 1
% 3.16/1.76
% 3.16/1.76 Timing (in seconds)
% 3.16/1.76 ----------------------
% 3.16/1.76 Preprocessing : 0.46
% 3.16/1.76 Parsing : 0.26
% 3.16/1.76 CNF conversion : 0.02
% 3.16/1.76 Main loop : 0.24
% 3.16/1.76 Inferencing : 0.11
% 3.16/1.76 Reduction : 0.06
% 3.16/1.76 Demodulation : 0.04
% 3.16/1.76 BG Simplification : 0.01
% 3.16/1.76 Subsumption : 0.04
% 3.16/1.76 Abstraction : 0.01
% 3.16/1.76 MUC search : 0.00
% 3.16/1.76 Cooper : 0.00
% 3.16/1.76 Total : 0.75
% 3.16/1.76 Index Insertion : 0.00
% 3.16/1.76 Index Deletion : 0.00
% 3.16/1.76 Index Matching : 0.00
% 3.16/1.76 BG Taut test : 0.00
%------------------------------------------------------------------------------