TSTP Solution File: SWV346-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 : Sat Jul 23 06:21:30 EDT 2022
% Result : Unsatisfiable 9.50s 9.74s
% Output : Refutation 9.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 15:12:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.50/9.74 GeoParameters:
% 9.50/9.74
% 9.50/9.74 tptp_input = 1
% 9.50/9.74 tptp_output = 0
% 9.50/9.74 nonempty = 1
% 9.50/9.74 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.50/9.74 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 9.50/9.74
% 9.50/9.74
% 9.50/9.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.50/9.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.50/9.74
% 9.50/9.74 RuleSystem INPUT:
% 9.50/9.74
% 9.50/9.74 Initial Rules:
% 9.50/9.74 #0: input, references = 5, size of lhs = 26:
% 9.50/9.74 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_c_List_Oset-{F}(V6,V1,V7), c_in-{F}(V6,V0,V2), P_c_Message_Omsg_OKey-{F}(V8,V9), P_c_Public_OshrK-{F}(V13,V14), P_c_Message_Omsg_OAgent-{F}(V12,V15), P_c_Message_Omsg_OMPair-{F}(V4,V11,V16), P_c_Message_Omsg_OMPair-{F}(V9,V16,V17), P_c_Message_Omsg_OMPair-{F}(V15,V17,V18), P_c_Message_Omsg_OCrypt-{F}(V14,V18,V19), P_c_Message_Omsg_OMPair-{F}(V19,V10,V20), P_c_Event_Oevent_OSays-{F}(V3,V13,V20,V21), c_in-{F}(V21,V7,V1), P_c_Public_OshrK-{F}(V25,V26), P_c_Message_Omsg_OAgent-{F}(V24,V27), P_c_Message_Omsg_OMPair-{F}(V5,V23,V28), P_c_Message_Omsg_OMPair-{F}(V9,V28,V29), P_c_Message_Omsg_OMPair-{F}(V27,V29,V30), P_c_Message_Omsg_OCrypt-{F}(V26,V30,V31), P_c_Message_Omsg_OMPair-{F}(V31,V22,V32), P_c_Event_Oevent_OSays-{F}(V3,V25,V32,V33), c_in-{F}(V33,V7,V1), V5 == V4 | FALSE
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #1: input, references = 4, size of lhs = 5:
% 9.50/9.74 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4) | c_in-{T}(V4,V0,V2)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #2: input, references = 5, size of lhs = 23:
% 9.50/9.74 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22) | c_in-{T}(V21,V22,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #3: input, references = 4, size of lhs = 39:
% 9.50/9.74 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22), P_v_A-{F}(V23), P_c_Public_OshrK-{F}(V23,V24), P_v_B-{F}(V25), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_v_na-{F}(V27), P_v_nb-{F}(V28), P_c_Message_Omsg_OMPair-{F}(V27,V28,V29), P_c_Message_Omsg_OMPair-{F}(V10,V29,V30), P_c_Message_Omsg_OMPair-{F}(V26,V30,V31), P_c_Message_Omsg_OCrypt-{F}(V24,V31,V32), P_c_Public_OshrK-{F}(V25,V33), P_c_Message_Omsg_OAgent-{F}(V23,V34), P_c_Message_Omsg_OMPair-{F}(V34,V10,V35), P_c_Message_Omsg_OCrypt-{F}(V33,V35,V36), P_c_Message_Omsg_OMPair-{F}(V32,V36,V37), P_c_Event_Oevent_OSays-{F}(V3,V23,V37,V38) | c_in-{T}(V38,V22,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #4: input, references = 4, size of lhs = 39:
% 9.50/9.74 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22), P_v_A-{F}(V23), P_c_Public_OshrK-{F}(V23,V24), P_v_B-{F}(V25), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_v_na-{F}(V12), P_v_nb-{F}(V28), P_c_Message_Omsg_OMPair-{F}(V12,V28,V29), P_c_Message_Omsg_OMPair-{F}(V10,V29,V30), P_c_Message_Omsg_OMPair-{F}(V26,V30,V31), P_c_Message_Omsg_OCrypt-{F}(V24,V31,V32), P_c_Public_OshrK-{F}(V25,V33), P_c_Message_Omsg_OAgent-{F}(V23,V34), P_c_Message_Omsg_OMPair-{F}(V34,V10,V35), P_c_Message_Omsg_OCrypt-{F}(V33,V35,V36), P_c_Message_Omsg_OMPair-{F}(V32,V36,V37), P_c_Event_Oevent_OSays-{F}(V3,V23,V37,V38) | FALSE
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #5: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_c_Yahalom_Oyahalom-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #6: input, references = 5, size of lhs = 1:
% 9.50/9.74 #-{F} V0 | EXISTS V1: P_tc_List_Olist-{T}(V0,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #7: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_tc_Event_Oevent-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #8: input, references = 8, size of lhs = 3:
% 9.50/9.74 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Event_Oevent_OSays-{T}(V0,V1,V2,V3)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #9: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_c_Message_Oagent_OServer-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #10: input, references = 25, size of lhs = 2:
% 9.50/9.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OMPair-{T}(V0,V1,V2)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #11: input, references = 11, size of lhs = 2:
% 9.50/9.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OCrypt-{T}(V0,V1,V2)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #12: input, references = 11, size of lhs = 1:
% 9.50/9.74 #-{F} V0 | EXISTS V1: P_c_Public_OshrK-{T}(V0,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #13: input, references = 10, size of lhs = 1:
% 9.50/9.74 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OAgent-{T}(V0,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #14: input, references = 5, size of lhs = 1:
% 9.50/9.74 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OKey-{T}(V0,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #15: input, references = 6, size of lhs = 2:
% 9.50/9.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_List_Oset-{T}(V0,V1,V2)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #16: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_evso-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #17: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_Aa-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #18: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_Ba-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #19: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_K-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #20: input, references = 7, size of lhs = 1:
% 9.50/9.74 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_ONonce-{T}(V0,V1)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #21: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_NA-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #22: input, references = 4, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_NB-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #23: input, references = 5, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #24: input, references = 5, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #25: input, references = 5, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_B-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #26: input, references = 6, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_na-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 #27: input, references = 6, size of lhs = 0:
% 9.50/9.74 FALSE | EXISTS V0: P_v_nb-{T}(V0)
% 9.50/9.74 (used 0 times, uses = {})
% 9.50/9.74
% 9.50/9.74 number of initial rules = 28
% 9.50/9.74
% 9.50/9.74 Simplifiers:
% 9.50/9.74 #28: unsound, references = 3, size of lhs = 3:
% 9.50/9.74 P_c_Yahalom_Oyahalom-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #29: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_tc_List_Olist-{F}(V0,V1), P_tc_List_Olist-{F}(V0,V3), V1 == V3 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #30: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_tc_Event_Oevent-{F}(V0), P_tc_Event_Oevent-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #31: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Event_Oevent_OSays-{F}(V0,V1,V2,V3), P_c_Event_Oevent_OSays-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #32: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Message_Oagent_OServer-{F}(V0), P_c_Message_Oagent_OServer-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #33: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_c_Message_Omsg_OMPair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #34: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #35: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Public_OshrK-{F}(V0,V1), P_c_Public_OshrK-{F}(V0,V3), V1 == V3 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #36: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Message_Omsg_OAgent-{F}(V0,V1), P_c_Message_Omsg_OAgent-{F}(V0,V3), V1 == V3 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #37: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_Omsg_OKey-{F}(V0,V3), V1 == V3 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #38: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_List_Oset-{F}(V0,V1,V2), P_c_List_Oset-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #39: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_evso-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #40: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_Aa-{F}(V0), P_v_Aa-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #41: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_Ba-{F}(V0), P_v_Ba-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #42: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_K-{F}(V0), P_v_K-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #43: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_c_Message_Omsg_ONonce-{F}(V0,V1), P_c_Message_Omsg_ONonce-{F}(V0,V3), V1 == V3 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #44: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_NA-{F}(V0), P_v_NA-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #45: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_NB-{F}(V0), P_v_NB-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #46: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #47: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #48: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_B-{F}(V0), P_v_B-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #49: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_na-{F}(V0), P_v_na-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #50: unsound, references = 3, size of lhs = 3:
% 9.50/9.75 P_v_nb-{F}(V0), P_v_nb-{F}(V1), V0 == V1 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 number of simplifiers = 23
% 9.50/9.75
% 9.50/9.75 Learnt:
% 9.50/9.75 #57: mergings( V4 == V20, V22 == V24, V6 == V28, V28 == V31; #52 ), references = 2, size of lhs = 38:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_c_List_Oset-{F}(V0,V15,V16), P_tc_List_Olist-{F}(V15,V17), P_c_Message_Oagent_OServer-{F}(V18), P_c_List_Oset-{F}(V19,V15,V16), c_in-{F}(V19,V14,V17), P_c_Public_OshrK-{F}(V1,V20), P_c_Message_Omsg_OCrypt-{F}(V20,V12,V21), P_c_Message_Omsg_OMPair-{F}(V21,V13,V22), P_c_Message_Omsg_OKey-{F}(V23,V24), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_c_Message_Omsg_OAgent-{F}(V27,V28), P_c_Message_Omsg_OMPair-{F}(V24,V29,V30), P_c_Message_Omsg_OMPair-{F}(V26,V30,V31), P_c_Message_Omsg_OCrypt-{F}(V20,V31,V32), P_c_Message_Omsg_OMPair-{F}(V32,V33,V22), P_c_Message_Omsg_OMPair-{F}(V34,V35,V29), P_c_Message_Omsg_OMPair-{F}(V24,V36,V37), P_c_Message_Omsg_OMPair-{F}(V28,V37,V38), P_c_Message_Omsg_OCrypt-{F}(V20,V38,V39), P_c_Message_Omsg_OMPair-{F}(V39,V40,V22), P_c_Message_Omsg_OMPair-{F}(V41,V42,V36), V41 == V34 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #63: mergings( V3 == V20, V21 == V22, V5 == V24, V24 == V25; #58 ), references = 2, size of lhs = 36:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_tc_List_Olist-{F}(V15,V16), c_in-{F}(V0,V14,V16), P_c_Message_Oagent_OServer-{F}(V17), P_c_Public_OshrK-{F}(V1,V18), P_c_Message_Omsg_OCrypt-{F}(V18,V12,V19), P_c_Message_Omsg_OMPair-{F}(V19,V13,V20), P_c_Message_Omsg_OKey-{F}(V21,V22), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_c_Message_Omsg_OMPair-{F}(V22,V27,V28), P_c_Message_Omsg_OMPair-{F}(V24,V28,V29), P_c_Message_Omsg_OCrypt-{F}(V18,V29,V30), P_c_Message_Omsg_OMPair-{F}(V30,V31,V20), P_c_Message_Omsg_OMPair-{F}(V32,V33,V27), P_c_Message_Omsg_OMPair-{F}(V22,V34,V35), P_c_Message_Omsg_OMPair-{F}(V26,V35,V36), P_c_Message_Omsg_OCrypt-{F}(V18,V36,V37), P_c_Message_Omsg_OMPair-{F}(V37,V38,V20), P_c_Message_Omsg_OMPair-{F}(V39,V40,V34), V39 == V32 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #65: exists( #8, #4 ), references = 1, size of lhs = 38:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22), P_v_A-{F}(V23), P_c_Public_OshrK-{F}(V23,V24), P_v_B-{F}(V25), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_v_nb-{F}(V27), P_c_Message_Omsg_OMPair-{F}(V12,V27,V28), P_c_Message_Omsg_OMPair-{F}(V10,V28,V29), P_c_Message_Omsg_OMPair-{F}(V26,V29,V30), P_c_Message_Omsg_OCrypt-{F}(V24,V30,V31), P_c_Public_OshrK-{F}(V25,V32), P_c_Message_Omsg_OAgent-{F}(V23,V33), P_c_Message_Omsg_OMPair-{F}(V33,V10,V34), P_c_Message_Omsg_OCrypt-{F}(V32,V34,V35), P_c_Message_Omsg_OMPair-{F}(V31,V35,V36) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #67: exists( #10, #64 ), references = 2, size of lhs = 37:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22), P_v_A-{F}(V23), P_c_Public_OshrK-{F}(V23,V24), P_v_B-{F}(V25), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_v_nb-{F}(V27), P_c_Message_Omsg_OMPair-{F}(V12,V27,V28), P_c_Message_Omsg_OMPair-{F}(V10,V28,V29), P_c_Message_Omsg_OMPair-{F}(V26,V29,V30), P_c_Message_Omsg_OCrypt-{F}(V24,V30,V31), P_c_Public_OshrK-{F}(V25,V32), P_c_Message_Omsg_OAgent-{F}(V23,V33), P_c_Message_Omsg_OMPair-{F}(V33,V10,V34), P_c_Message_Omsg_OCrypt-{F}(V32,V34,V35) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #69: exists( #8, #66 ), references = 2, size of lhs = 36:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_List_Oset-{F}(V4,V1,V21), P_v_A-{F}(V22), P_c_Public_OshrK-{F}(V22,V23), P_v_B-{F}(V24), P_c_Message_Omsg_OAgent-{F}(V24,V25), P_v_nb-{F}(V26), P_c_Message_Omsg_OMPair-{F}(V12,V26,V27), P_c_Message_Omsg_OMPair-{F}(V10,V27,V28), P_c_Message_Omsg_OMPair-{F}(V25,V28,V29), P_c_Message_Omsg_OCrypt-{F}(V23,V29,V30), P_c_Public_OshrK-{F}(V24,V31), P_c_Message_Omsg_OAgent-{F}(V22,V32), P_c_Message_Omsg_OMPair-{F}(V32,V10,V33), P_c_Message_Omsg_OCrypt-{F}(V31,V33,V34) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #71: exists( #15, #68 ), references = 2, size of lhs = 35:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Message_Omsg_OMPair-{F}(V12,V25,V26), P_c_Message_Omsg_OMPair-{F}(V10,V26,V27), P_c_Message_Omsg_OMPair-{F}(V24,V27,V28), P_c_Message_Omsg_OCrypt-{F}(V22,V28,V29), P_c_Public_OshrK-{F}(V23,V30), P_c_Message_Omsg_OAgent-{F}(V21,V31), P_c_Message_Omsg_OMPair-{F}(V31,V10,V32), P_c_Message_Omsg_OCrypt-{F}(V30,V32,V33) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #73: exists( #11, #70 ), references = 1, size of lhs = 33:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Public_OshrK-{F}(V23,V22), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Message_Omsg_OMPair-{F}(V12,V25,V26), P_c_Message_Omsg_OMPair-{F}(V10,V26,V27), P_c_Message_Omsg_OMPair-{F}(V24,V27,V28), P_c_Message_Omsg_OAgent-{F}(V21,V29), P_c_Message_Omsg_OMPair-{F}(V29,V10,V28) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #77: exists( #11, #71 ), references = 2, size of lhs = 34:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Message_Omsg_OMPair-{F}(V12,V25,V26), P_c_Message_Omsg_OMPair-{F}(V10,V26,V27), P_c_Message_Omsg_OMPair-{F}(V24,V27,V28), P_c_Public_OshrK-{F}(V23,V29), P_c_Message_Omsg_OAgent-{F}(V21,V30), P_c_Message_Omsg_OMPair-{F}(V30,V10,V31), P_c_Message_Omsg_OCrypt-{F}(V29,V31,V32) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #78: exists( #11, #69 ), references = 2, size of lhs = 35:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_List_Oset-{F}(V4,V1,V21), P_v_A-{F}(V22), P_c_Public_OshrK-{F}(V22,V23), P_v_B-{F}(V24), P_c_Message_Omsg_OAgent-{F}(V24,V25), P_v_nb-{F}(V26), P_c_Message_Omsg_OMPair-{F}(V12,V26,V27), P_c_Message_Omsg_OMPair-{F}(V10,V27,V28), P_c_Message_Omsg_OMPair-{F}(V25,V28,V29), P_c_Public_OshrK-{F}(V24,V30), P_c_Message_Omsg_OAgent-{F}(V22,V31), P_c_Message_Omsg_OMPair-{F}(V31,V10,V32), P_c_Message_Omsg_OCrypt-{F}(V30,V32,V33) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #79: exists( #11, #67 ), references = 2, size of lhs = 36:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22), P_v_A-{F}(V23), P_c_Public_OshrK-{F}(V23,V24), P_v_B-{F}(V25), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_v_nb-{F}(V27), P_c_Message_Omsg_OMPair-{F}(V12,V27,V28), P_c_Message_Omsg_OMPair-{F}(V10,V28,V29), P_c_Message_Omsg_OMPair-{F}(V26,V29,V30), P_c_Public_OshrK-{F}(V25,V31), P_c_Message_Omsg_OAgent-{F}(V23,V32), P_c_Message_Omsg_OMPair-{F}(V32,V10,V33), P_c_Message_Omsg_OCrypt-{F}(V31,V33,V34) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #83: exists( #10, #77 ), references = 1, size of lhs = 33:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Message_Omsg_OMPair-{F}(V12,V25,V26), P_c_Message_Omsg_OMPair-{F}(V10,V26,V27), P_c_Public_OshrK-{F}(V23,V28), P_c_Message_Omsg_OAgent-{F}(V21,V29), P_c_Message_Omsg_OMPair-{F}(V29,V10,V30), P_c_Message_Omsg_OCrypt-{F}(V28,V30,V31) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #84: exists( #10, #78 ), references = 1, size of lhs = 34:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_List_Oset-{F}(V4,V1,V21), P_v_A-{F}(V22), P_c_Public_OshrK-{F}(V22,V23), P_v_B-{F}(V24), P_c_Message_Omsg_OAgent-{F}(V24,V25), P_v_nb-{F}(V26), P_c_Message_Omsg_OMPair-{F}(V12,V26,V27), P_c_Message_Omsg_OMPair-{F}(V10,V27,V28), P_c_Public_OshrK-{F}(V24,V29), P_c_Message_Omsg_OAgent-{F}(V22,V30), P_c_Message_Omsg_OMPair-{F}(V30,V10,V31), P_c_Message_Omsg_OCrypt-{F}(V29,V31,V32) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #85: exists( #10, #79 ), references = 1, size of lhs = 35:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Event_Oevent_OSays-{F}(V3,V5,V20,V21), P_c_List_Oset-{F}(V4,V1,V22), P_v_A-{F}(V23), P_c_Public_OshrK-{F}(V23,V24), P_v_B-{F}(V25), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_v_nb-{F}(V27), P_c_Message_Omsg_OMPair-{F}(V12,V27,V28), P_c_Message_Omsg_OMPair-{F}(V10,V28,V29), P_c_Public_OshrK-{F}(V25,V30), P_c_Message_Omsg_OAgent-{F}(V23,V31), P_c_Message_Omsg_OMPair-{F}(V31,V10,V32), P_c_Message_Omsg_OCrypt-{F}(V30,V32,V33) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #89: exists( #10, #80 ), references = 1, size of lhs = 32:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Message_Omsg_OMPair-{F}(V12,V25,V26), P_c_Public_OshrK-{F}(V23,V27), P_c_Message_Omsg_OAgent-{F}(V21,V28), P_c_Message_Omsg_OMPair-{F}(V28,V10,V29), P_c_Message_Omsg_OCrypt-{F}(V27,V29,V30) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #91: exists( #11, #86 ), references = 1, size of lhs = 31:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Message_Omsg_OMPair-{F}(V12,V25,V26), P_c_Public_OshrK-{F}(V23,V27), P_c_Message_Omsg_OAgent-{F}(V21,V28), P_c_Message_Omsg_OMPair-{F}(V28,V10,V29) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #93: exists( #10, #90 ), references = 2, size of lhs = 30:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_v_A-{F}(V21), P_c_Public_OshrK-{F}(V21,V22), P_v_B-{F}(V23), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_v_nb-{F}(V25), P_c_Public_OshrK-{F}(V23,V26), P_c_Message_Omsg_OAgent-{F}(V21,V27), P_c_Message_Omsg_OMPair-{F}(V27,V10,V28) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #97: exists( #10, #93 ), references = 1, size of lhs = 29:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_c_Message_Omsg_OCrypt-{F}(V6,V17,V18), P_v_X-{F}(V19), P_v_A-{F}(V20), P_c_Public_OshrK-{F}(V20,V21), P_v_B-{F}(V22), P_c_Message_Omsg_OAgent-{F}(V22,V23), P_v_nb-{F}(V24), P_c_Public_OshrK-{F}(V22,V25), P_c_Message_Omsg_OAgent-{F}(V20,V26), P_c_Message_Omsg_OMPair-{F}(V26,V10,V27) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #99: exists( #11, #94 ), references = 2, size of lhs = 28:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_c_Message_Omsg_OMPair-{F}(V8,V16,V17), P_v_X-{F}(V18), P_v_A-{F}(V19), P_c_Public_OshrK-{F}(V19,V20), P_v_B-{F}(V21), P_c_Message_Omsg_OAgent-{F}(V21,V22), P_v_nb-{F}(V23), P_c_Public_OshrK-{F}(V21,V24), P_c_Message_Omsg_OAgent-{F}(V19,V25), P_c_Message_Omsg_OMPair-{F}(V25,V10,V26) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #101: exists( #10, #99 ), references = 1, size of lhs = 27:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_c_Message_Omsg_OMPair-{F}(V10,V15,V16), P_v_X-{F}(V17), P_v_A-{F}(V18), P_c_Public_OshrK-{F}(V18,V19), P_v_B-{F}(V20), P_c_Message_Omsg_OAgent-{F}(V20,V21), P_v_nb-{F}(V22), P_c_Public_OshrK-{F}(V20,V23), P_c_Message_Omsg_OAgent-{F}(V18,V24), P_c_Message_Omsg_OMPair-{F}(V24,V10,V25) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #103: exists( #10, #100 ), references = 1, size of lhs = 26:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_c_Message_Omsg_OMPair-{F}(V12,V14,V15), P_v_X-{F}(V16), P_v_A-{F}(V17), P_c_Public_OshrK-{F}(V17,V18), P_v_B-{F}(V19), P_c_Message_Omsg_OAgent-{F}(V19,V20), P_v_nb-{F}(V21), P_c_Public_OshrK-{F}(V19,V22), P_c_Message_Omsg_OAgent-{F}(V17,V23), P_c_Message_Omsg_OMPair-{F}(V23,V10,V24) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #105: exists( #10, #102 ), references = 1, size of lhs = 25:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_v_X-{F}(V15), P_v_A-{F}(V16), P_c_Public_OshrK-{F}(V16,V17), P_v_B-{F}(V18), P_c_Message_Omsg_OAgent-{F}(V18,V19), P_v_nb-{F}(V20), P_c_Public_OshrK-{F}(V18,V21), P_c_Message_Omsg_OAgent-{F}(V16,V22), P_c_Message_Omsg_OMPair-{F}(V22,V10,V23) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #107: exists( #10, #104 ), references = 1, size of lhs = 24:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_v_X-{F}(V15), P_v_A-{F}(V16), P_c_Public_OshrK-{F}(V16,V17), P_v_B-{F}(V18), P_c_Message_Omsg_OAgent-{F}(V18,V19), P_v_nb-{F}(V20), P_c_Public_OshrK-{F}(V18,V21), P_c_Message_Omsg_OAgent-{F}(V16,V22) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #109: exists( #13, #106 ), references = 1, size of lhs = 23:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_v_X-{F}(V15), P_v_A-{F}(V16), P_c_Public_OshrK-{F}(V16,V17), P_v_B-{F}(V18), P_c_Message_Omsg_OAgent-{F}(V18,V19), P_v_nb-{F}(V20), P_c_Public_OshrK-{F}(V18,V21) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #111: exists( #12, #108 ), references = 1, size of lhs = 22:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_tc_List_Olist-{F}(V1,V2), P_c_Message_Oagent_OServer-{F}(V3), P_v_evso-{F}(V4), P_v_Aa-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_Ba-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_v_NA-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_v_na-{F}(V12), P_v_NB-{F}(V13), P_c_Message_Omsg_ONonce-{F}(V13,V14), P_v_X-{F}(V15), P_v_A-{F}(V16), P_v_B-{F}(V17), P_c_Message_Omsg_OAgent-{F}(V17,V18), P_v_nb-{F}(V19), P_c_Public_OshrK-{F}(V17,V20) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #113: exists( #6, #110 ), references = 3, size of lhs = 21:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_v_K-{F}(V8), P_c_Message_Omsg_OKey-{F}(V8,V9), P_v_NA-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_na-{F}(V11), P_v_NB-{F}(V12), P_c_Message_Omsg_ONonce-{F}(V12,V13), P_v_X-{F}(V14), P_v_A-{F}(V15), P_v_B-{F}(V16), P_c_Message_Omsg_OAgent-{F}(V16,V17), P_v_nb-{F}(V18), P_c_Public_OshrK-{F}(V16,V19) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #116: exists( #10, #63 ), references = 1, size of lhs = 33:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_tc_List_Olist-{F}(V15,V16), c_in-{F}(V0,V14,V16), P_c_Message_Oagent_OServer-{F}(V17), P_c_Public_OshrK-{F}(V1,V18), P_c_Message_Omsg_OCrypt-{F}(V18,V12,V19), P_c_Message_Omsg_OCrypt-{F}(V18,V20,V19), P_c_Message_Omsg_OCrypt-{F}(V18,V21,V19), P_c_Message_Omsg_OKey-{F}(V22,V23), P_c_Message_Omsg_OAgent-{F}(V24,V25), P_c_Message_Omsg_OMPair-{F}(V25,V26,V20), P_c_Message_Omsg_OMPair-{F}(V23,V27,V26), P_c_Message_Omsg_OAgent-{F}(V28,V29), P_c_Message_Omsg_OMPair-{F}(V29,V30,V21), P_c_Message_Omsg_OMPair-{F}(V23,V31,V30), P_c_Message_Omsg_OMPair-{F}(V32,V33,V27), P_c_Message_Omsg_OMPair-{F}(V34,V35,V31), V34 == V32 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #117: exists( #10, #57 ), references = 1, size of lhs = 35:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_c_List_Oset-{F}(V0,V15,V16), P_tc_List_Olist-{F}(V15,V17), P_c_Message_Oagent_OServer-{F}(V18), P_c_List_Oset-{F}(V19,V15,V16), c_in-{F}(V19,V14,V17), P_c_Public_OshrK-{F}(V1,V20), P_c_Message_Omsg_OCrypt-{F}(V20,V12,V21), P_c_Message_Omsg_OCrypt-{F}(V20,V22,V21), P_c_Message_Omsg_OCrypt-{F}(V20,V23,V21), P_c_Message_Omsg_OKey-{F}(V24,V25), P_c_Message_Omsg_OAgent-{F}(V26,V27), P_c_Message_Omsg_OMPair-{F}(V27,V28,V22), P_c_Message_Omsg_OMPair-{F}(V25,V29,V28), P_c_Message_Omsg_OAgent-{F}(V30,V31), P_c_Message_Omsg_OMPair-{F}(V31,V32,V23), P_c_Message_Omsg_OMPair-{F}(V25,V33,V32), P_c_Message_Omsg_OMPair-{F}(V34,V35,V29), P_c_Message_Omsg_OMPair-{F}(V36,V37,V33), V36 == V34 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #120: exists( #11, #114 ), references = 2, size of lhs = 30:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_tc_List_Olist-{F}(V15,V16), c_in-{F}(V0,V14,V16), P_c_Message_Oagent_OServer-{F}(V17), P_c_Public_OshrK-{F}(V1,V18), P_c_Message_Omsg_OKey-{F}(V19,V20), P_c_Message_Omsg_OAgent-{F}(V21,V22), P_c_Message_Omsg_OMPair-{F}(V22,V23,V12), P_c_Message_Omsg_OMPair-{F}(V20,V24,V23), P_c_Message_Omsg_OAgent-{F}(V25,V26), P_c_Message_Omsg_OMPair-{F}(V26,V27,V12), P_c_Message_Omsg_OMPair-{F}(V20,V28,V27), P_c_Message_Omsg_OMPair-{F}(V29,V30,V24), P_c_Message_Omsg_OMPair-{F}(V31,V32,V28), V31 == V29 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #121: exists( #11, #115 ), references = 2, size of lhs = 32:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_c_List_Oset-{F}(V0,V15,V16), P_tc_List_Olist-{F}(V15,V17), P_c_Message_Oagent_OServer-{F}(V18), P_c_List_Oset-{F}(V19,V15,V16), c_in-{F}(V19,V14,V17), P_c_Public_OshrK-{F}(V1,V20), P_c_Message_Omsg_OKey-{F}(V21,V22), P_c_Message_Omsg_OAgent-{F}(V23,V24), P_c_Message_Omsg_OMPair-{F}(V24,V25,V12), P_c_Message_Omsg_OMPair-{F}(V22,V26,V25), P_c_Message_Omsg_OAgent-{F}(V27,V28), P_c_Message_Omsg_OMPair-{F}(V28,V29,V12), P_c_Message_Omsg_OMPair-{F}(V22,V30,V29), P_c_Message_Omsg_OMPair-{F}(V31,V32,V26), P_c_Message_Omsg_OMPair-{F}(V33,V34,V30), V33 == V31 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #124: exists( #10, #120 ), references = 1, size of lhs = 27:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_v_X-{F}(V12), P_c_Yahalom_Oyahalom-{F}(V13), P_tc_Event_Oevent-{F}(V14), P_tc_List_Olist-{F}(V14,V15), c_in-{F}(V0,V13,V15), P_c_Message_Oagent_OServer-{F}(V16), P_c_Public_OshrK-{F}(V1,V17), P_c_Message_Omsg_OAgent-{F}(V18,V3), P_c_Message_Omsg_OAgent-{F}(V19,V3), P_c_Message_Omsg_OKey-{F}(V20,V21), P_c_Message_Omsg_OMPair-{F}(V21,V22,V11), P_c_Message_Omsg_OMPair-{F}(V21,V23,V11), P_c_Message_Omsg_OMPair-{F}(V24,V25,V22), P_c_Message_Omsg_OMPair-{F}(V26,V27,V23), V26 == V24 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #125: exists( #10, #121 ), references = 1, size of lhs = 29:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_v_X-{F}(V12), P_c_Yahalom_Oyahalom-{F}(V13), P_tc_Event_Oevent-{F}(V14), P_c_List_Oset-{F}(V0,V14,V15), P_tc_List_Olist-{F}(V14,V16), P_c_Message_Oagent_OServer-{F}(V17), P_c_List_Oset-{F}(V18,V14,V15), c_in-{F}(V18,V13,V16), P_c_Public_OshrK-{F}(V1,V19), P_c_Message_Omsg_OAgent-{F}(V20,V3), P_c_Message_Omsg_OAgent-{F}(V21,V3), P_c_Message_Omsg_OKey-{F}(V22,V23), P_c_Message_Omsg_OMPair-{F}(V23,V24,V11), P_c_Message_Omsg_OMPair-{F}(V23,V25,V11), P_c_Message_Omsg_OMPair-{F}(V26,V27,V24), P_c_Message_Omsg_OMPair-{F}(V28,V29,V25), V28 == V26 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #128: exists( #10, #122 ), references = 1, size of lhs = 24:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_c_Yahalom_Oyahalom-{F}(V12), P_tc_Event_Oevent-{F}(V13), P_tc_List_Olist-{F}(V13,V14), c_in-{F}(V0,V12,V14), P_c_Message_Oagent_OServer-{F}(V15), P_c_Public_OshrK-{F}(V1,V16), P_c_Message_Omsg_OAgent-{F}(V17,V3), P_c_Message_Omsg_OAgent-{F}(V18,V3), P_c_Message_Omsg_OKey-{F}(V19,V5), P_c_Message_Omsg_OMPair-{F}(V20,V21,V10), P_c_Message_Omsg_OMPair-{F}(V22,V23,V10), V22 == V20 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #129: exists( #10, #123 ), references = 1, size of lhs = 26:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_c_Yahalom_Oyahalom-{F}(V12), P_tc_Event_Oevent-{F}(V13), P_c_List_Oset-{F}(V0,V13,V14), P_tc_List_Olist-{F}(V13,V15), P_c_Message_Oagent_OServer-{F}(V16), P_c_List_Oset-{F}(V17,V13,V14), c_in-{F}(V17,V12,V15), P_c_Public_OshrK-{F}(V1,V18), P_c_Message_Omsg_OAgent-{F}(V19,V3), P_c_Message_Omsg_OAgent-{F}(V20,V3), P_c_Message_Omsg_OKey-{F}(V21,V5), P_c_Message_Omsg_OMPair-{F}(V22,V23,V10), P_c_Message_Omsg_OMPair-{F}(V24,V25,V10), V24 == V22 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #154: mergings( V4 == V20, V20 == V52, V54 == V56, V56 == V57, V6 == V22, V22 == V61, V5 == V21, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V11 == V27, V12 == V28, V13 == V29, V14 == V30, V15 == V31, V16 == V32, V17 == V33, V18 == V34, V19 == V35; #133 ), references = 1, size of lhs = 56:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_c_Public_OshrK-{F}(V14,V15), P_v_B-{F}(V16), P_c_Message_Omsg_OAgent-{F}(V16,V17), P_v_na-{F}(V18), P_v_nb-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Message_Omsg_OMPair-{F}(V5,V20,V21), P_c_Message_Omsg_OMPair-{F}(V17,V21,V22), P_c_Message_Omsg_OCrypt-{F}(V15,V22,V23), P_c_Public_OshrK-{F}(V16,V24), P_c_Message_Omsg_OAgent-{F}(V14,V25), P_c_Message_Omsg_OMPair-{F}(V25,V5,V26), P_c_Message_Omsg_OCrypt-{F}(V24,V26,V27), P_c_Message_Omsg_OMPair-{F}(V23,V27,V28), P_c_Yahalom_Oyahalom-{F}(V29), P_tc_Event_Oevent-{F}(V30), P_c_List_Oset-{F}(V0,V30,V31), P_tc_List_Olist-{F}(V30,V32), P_c_Message_Oagent_OServer-{F}(V33), P_c_Event_Oevent_OSays-{F}(V33,V14,V28,V34), P_c_List_Oset-{F}(V35,V30,V31), c_in-{F}(V35,V29,V32), P_c_Public_OshrK-{F}(V1,V36), P_c_Message_Omsg_OCrypt-{F}(V36,V12,V37), P_c_Message_Omsg_OMPair-{F}(V37,V13,V38), P_c_Message_Omsg_OKey-{F}(V39,V40), P_c_Message_Omsg_OAgent-{F}(V41,V42), P_c_Public_OshrK-{F}(V43,V44), P_c_Event_Oevent_OSays-{F}(V33,V43,V45,V34), P_c_Message_Omsg_OAgent-{F}(V46,V47), P_c_Message_Omsg_OMPair-{F}(V40,V48,V49), P_c_Message_Omsg_OMPair-{F}(V42,V49,V50), P_c_Message_Omsg_OCrypt-{F}(V36,V50,V51), P_c_Message_Omsg_OMPair-{F}(V51,V52,V38), P_c_Message_Omsg_OMPair-{F}(V53,V54,V48), P_c_Message_Omsg_OMPair-{F}(V40,V55,V56), P_c_Message_Omsg_OMPair-{F}(V47,V56,V57), P_c_Message_Omsg_OCrypt-{F}(V44,V57,V58), P_c_Message_Omsg_OMPair-{F}(V58,V59,V45), P_c_Message_Omsg_OMPair-{F}(V60,V61,V55), V60 == V53 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #174: mergings( V3 == V16, V16 == V47, V49 == V51, V51 == V52, V19 == V20, V20 == V56, V4 == V17, V5 == V21, V6 == V22, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V11 == V27, V12 == V28, V13 == V29, V14 == V30, V15 == V31; #155 ), references = 1, size of lhs = 54:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_c_Public_OshrK-{F}(V14,V15), P_v_B-{F}(V16), P_c_Message_Omsg_OAgent-{F}(V16,V17), P_v_na-{F}(V18), P_v_nb-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V18,V19,V20), P_c_Message_Omsg_OMPair-{F}(V5,V20,V21), P_c_Message_Omsg_OMPair-{F}(V17,V21,V22), P_c_Message_Omsg_OCrypt-{F}(V15,V22,V23), P_c_Public_OshrK-{F}(V16,V24), P_c_Message_Omsg_OAgent-{F}(V14,V25), P_c_Message_Omsg_OMPair-{F}(V25,V5,V26), P_c_Message_Omsg_OCrypt-{F}(V24,V26,V27), P_c_Message_Omsg_OMPair-{F}(V23,V27,V28), P_c_Yahalom_Oyahalom-{F}(V29), P_tc_Event_Oevent-{F}(V30), P_c_List_Oset-{F}(V0,V30,V31), P_tc_List_Olist-{F}(V30,V32), P_c_Message_Oagent_OServer-{F}(V33), P_c_Event_Oevent_OSays-{F}(V33,V14,V28,V34), P_c_List_Oset-{F}(V35,V30,V31), c_in-{F}(V35,V29,V32), P_c_Public_OshrK-{F}(V1,V36), P_c_Message_Omsg_OCrypt-{F}(V36,V12,V37), P_c_Message_Omsg_OCrypt-{F}(V36,V38,V37), P_c_Message_Omsg_OKey-{F}(V39,V40), P_c_Message_Omsg_OAgent-{F}(V41,V42), P_c_Message_Omsg_OMPair-{F}(V42,V43,V38), P_c_Message_Omsg_OMPair-{F}(V40,V44,V43), P_c_Public_OshrK-{F}(V45,V46), P_c_Event_Oevent_OSays-{F}(V33,V45,V47,V34), P_c_Message_Omsg_OAgent-{F}(V48,V49), P_c_Message_Omsg_OMPair-{F}(V50,V51,V44), P_c_Message_Omsg_OMPair-{F}(V40,V52,V53), P_c_Message_Omsg_OMPair-{F}(V49,V53,V54), P_c_Message_Omsg_OCrypt-{F}(V46,V54,V55), P_c_Message_Omsg_OMPair-{F}(V55,V56,V47), P_c_Message_Omsg_OMPair-{F}(V57,V58,V52), V57 == V50 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #195: mergings( V4 == V17, V17 == V48, V50 == V52, V52 == V53, V20 == V22, V22 == V55, V35 == V63, V5 == V18, V6 == V23, V7 == V24, V8 == V25, V9 == V26, V10 == V27, V11 == V28, V12 == V29, V13 == V30, V14 == V31, V15 == V32, V16 == V33; #175 ), references = 1, size of lhs = 51:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_v_B-{F}(V15), P_c_Message_Omsg_OAgent-{F}(V15,V16), P_v_na-{F}(V17), P_v_nb-{F}(V18), P_c_Message_Omsg_OMPair-{F}(V17,V18,V19), P_c_Message_Omsg_OMPair-{F}(V5,V19,V20), P_c_Message_Omsg_OMPair-{F}(V16,V20,V21), P_c_Public_OshrK-{F}(V15,V22), P_c_Message_Omsg_OAgent-{F}(V14,V23), P_c_Message_Omsg_OMPair-{F}(V23,V5,V24), P_c_Message_Omsg_OCrypt-{F}(V22,V24,V25), P_c_Yahalom_Oyahalom-{F}(V26), P_tc_Event_Oevent-{F}(V27), P_c_List_Oset-{F}(V0,V27,V28), P_tc_List_Olist-{F}(V27,V29), P_c_Message_Oagent_OServer-{F}(V30), P_c_List_Oset-{F}(V31,V27,V28), c_in-{F}(V31,V26,V29), P_c_Public_OshrK-{F}(V1,V32), P_c_Message_Omsg_OCrypt-{F}(V32,V12,V33), P_c_Public_OshrK-{F}(V14,V34), P_c_Message_Omsg_OCrypt-{F}(V34,V21,V35), P_c_Message_Omsg_OMPair-{F}(V35,V25,V36), P_c_Message_Omsg_OCrypt-{F}(V32,V37,V33), P_c_Message_Omsg_OKey-{F}(V38,V39), P_c_Message_Omsg_OAgent-{F}(V40,V41), P_c_Message_Omsg_OMPair-{F}(V41,V42,V37), P_c_Message_Omsg_OMPair-{F}(V39,V43,V42), P_c_Message_Omsg_OAgent-{F}(V44,V45), P_c_Message_Omsg_OMPair-{F}(V46,V47,V43), P_c_Message_Omsg_OMPair-{F}(V39,V48,V49), P_c_Message_Omsg_OMPair-{F}(V45,V49,V50), P_c_Message_Omsg_OCrypt-{F}(V34,V50,V51), P_c_Message_Omsg_OMPair-{F}(V51,V52,V36), P_c_Message_Omsg_OMPair-{F}(V53,V54,V48), V53 == V46 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #213: mergings( V3 == V15, V15 == V44, V46 == V48, V48 == V49, V30 == V52, V4 == V16, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V9 == V22, V10 == V23, V11 == V24, V12 == V25, V13 == V26, V14 == V27; #196 ), references = 1, size of lhs = 49:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_c_Message_Omsg_OMPair-{F}(V3,V11,V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_v_B-{F}(V15), P_c_Message_Omsg_OAgent-{F}(V15,V16), P_v_na-{F}(V17), P_v_nb-{F}(V18), P_c_Message_Omsg_OMPair-{F}(V17,V18,V19), P_c_Message_Omsg_OMPair-{F}(V5,V19,V20), P_c_Message_Omsg_OMPair-{F}(V16,V20,V21), P_c_Public_OshrK-{F}(V15,V22), P_c_Message_Omsg_OAgent-{F}(V14,V23), P_c_Message_Omsg_OMPair-{F}(V23,V5,V24), P_c_Message_Omsg_OCrypt-{F}(V22,V24,V25), P_c_Yahalom_Oyahalom-{F}(V26), P_tc_Event_Oevent-{F}(V27), P_c_List_Oset-{F}(V0,V27,V28), P_tc_List_Olist-{F}(V27,V29), P_c_Message_Oagent_OServer-{F}(V30), P_c_List_Oset-{F}(V31,V27,V28), c_in-{F}(V31,V26,V29), P_c_Public_OshrK-{F}(V1,V32), P_c_Public_OshrK-{F}(V14,V33), P_c_Message_Omsg_OCrypt-{F}(V33,V21,V34), P_c_Message_Omsg_OMPair-{F}(V34,V25,V35), P_c_Message_Omsg_OKey-{F}(V36,V37), P_c_Message_Omsg_OAgent-{F}(V38,V39), P_c_Message_Omsg_OMPair-{F}(V39,V40,V12), P_c_Message_Omsg_OMPair-{F}(V37,V41,V40), P_c_Message_Omsg_OAgent-{F}(V42,V43), P_c_Message_Omsg_OMPair-{F}(V44,V45,V41), P_c_Message_Omsg_OMPair-{F}(V37,V46,V47), P_c_Message_Omsg_OMPair-{F}(V43,V47,V48), P_c_Message_Omsg_OCrypt-{F}(V33,V48,V49), P_c_Message_Omsg_OMPair-{F}(V49,V50,V35), P_c_Message_Omsg_OMPair-{F}(V51,V52,V46), V51 == V44 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #229: mergings( V3 == V13, V13 == V40, V42 == V44, V44 == V45, V26 == V49, V4 == V14, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V11 == V22, V12 == V23; #214 ), references = 2, size of lhs = 47:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_c_Message_Omsg_OMPair-{F}(V5,V10,V11), P_v_X-{F}(V12), P_v_A-{F}(V13), P_v_B-{F}(V14), P_c_Message_Omsg_OAgent-{F}(V14,V15), P_v_na-{F}(V16), P_v_nb-{F}(V17), P_c_Message_Omsg_OMPair-{F}(V16,V17,V18), P_c_Message_Omsg_OMPair-{F}(V5,V18,V19), P_c_Message_Omsg_OMPair-{F}(V15,V19,V20), P_c_Public_OshrK-{F}(V14,V21), P_c_Message_Omsg_OAgent-{F}(V13,V22), P_c_Message_Omsg_OMPair-{F}(V22,V5,V23), P_c_Message_Omsg_OCrypt-{F}(V21,V23,V24), P_c_Yahalom_Oyahalom-{F}(V25), P_tc_Event_Oevent-{F}(V26), P_c_List_Oset-{F}(V0,V26,V27), P_tc_List_Olist-{F}(V26,V28), P_c_Message_Oagent_OServer-{F}(V29), P_c_List_Oset-{F}(V30,V26,V27), c_in-{F}(V30,V25,V28), P_c_Public_OshrK-{F}(V1,V31), P_c_Public_OshrK-{F}(V13,V32), P_c_Message_Omsg_OCrypt-{F}(V32,V20,V33), P_c_Message_Omsg_OMPair-{F}(V33,V24,V34), P_c_Message_Omsg_OAgent-{F}(V35,V3), P_c_Message_Omsg_OKey-{F}(V36,V37), P_c_Message_Omsg_OMPair-{F}(V37,V38,V11), P_c_Message_Omsg_OAgent-{F}(V39,V40), P_c_Message_Omsg_OMPair-{F}(V41,V42,V38), P_c_Message_Omsg_OMPair-{F}(V37,V43,V44), P_c_Message_Omsg_OMPair-{F}(V40,V44,V45), P_c_Message_Omsg_OCrypt-{F}(V32,V45,V46), P_c_Message_Omsg_OMPair-{F}(V46,V47,V34), P_c_Message_Omsg_OMPair-{F}(V48,V49,V43), V48 == V41 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #243: mergings( V3 == V12, V12 == V34, V36 == V38, V38 == V39, V23 == V43, V4 == V13, V5 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19, V11 == V20; #230 ), references = 1, size of lhs = 43:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_v_A-{F}(V12), P_v_B-{F}(V13), P_c_Message_Omsg_OAgent-{F}(V13,V14), P_v_na-{F}(V15), P_v_nb-{F}(V16), P_c_Message_Omsg_OMPair-{F}(V15,V16,V17), P_c_Message_Omsg_OMPair-{F}(V5,V17,V18), P_c_Message_Omsg_OMPair-{F}(V14,V18,V19), P_c_Public_OshrK-{F}(V13,V20), P_c_Message_Omsg_OAgent-{F}(V12,V21), P_c_Message_Omsg_OMPair-{F}(V21,V5,V22), P_c_Message_Omsg_OCrypt-{F}(V20,V22,V10), P_c_Yahalom_Oyahalom-{F}(V23), P_tc_Event_Oevent-{F}(V24), P_c_List_Oset-{F}(V0,V24,V25), P_tc_List_Olist-{F}(V24,V26), P_c_Message_Oagent_OServer-{F}(V27), P_c_List_Oset-{F}(V28,V24,V25), c_in-{F}(V28,V23,V26), P_c_Public_OshrK-{F}(V1,V29), P_c_Public_OshrK-{F}(V12,V30), P_c_Message_Omsg_OCrypt-{F}(V30,V19,V5), P_c_Message_Omsg_OAgent-{F}(V31,V3), P_c_Message_Omsg_OKey-{F}(V32,V5), P_c_Message_Omsg_OCrypt-{F}(V30,V33,V5), P_c_Message_Omsg_OAgent-{F}(V34,V35), P_c_Message_Omsg_OMPair-{F}(V35,V36,V33), P_c_Message_Omsg_OMPair-{F}(V5,V37,V36), P_c_Message_Omsg_OMPair-{F}(V38,V39,V10), P_c_Message_Omsg_OMPair-{F}(V40,V41,V37), V40 == V38 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #245: exists( #10, #229 ), references = 2, size of lhs = 45:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_v_A-{F}(V12), P_v_B-{F}(V13), P_c_Message_Omsg_OAgent-{F}(V13,V14), P_v_na-{F}(V15), P_v_nb-{F}(V16), P_c_Message_Omsg_OMPair-{F}(V15,V16,V17), P_c_Message_Omsg_OMPair-{F}(V5,V17,V18), P_c_Message_Omsg_OMPair-{F}(V14,V18,V19), P_c_Public_OshrK-{F}(V13,V20), P_c_Message_Omsg_OAgent-{F}(V12,V21), P_c_Message_Omsg_OMPair-{F}(V21,V5,V22), P_c_Message_Omsg_OCrypt-{F}(V20,V22,V23), P_c_Yahalom_Oyahalom-{F}(V24), P_tc_Event_Oevent-{F}(V25), P_c_List_Oset-{F}(V0,V25,V26), P_tc_List_Olist-{F}(V25,V27), P_c_Message_Oagent_OServer-{F}(V28), P_c_List_Oset-{F}(V29,V25,V26), c_in-{F}(V29,V24,V27), P_c_Public_OshrK-{F}(V1,V30), P_c_Public_OshrK-{F}(V12,V31), P_c_Message_Omsg_OCrypt-{F}(V31,V19,V32), P_c_Message_Omsg_OMPair-{F}(V32,V23,V33), P_c_Message_Omsg_OAgent-{F}(V34,V3), P_c_Message_Omsg_OKey-{F}(V35,V5), P_c_Message_Omsg_OAgent-{F}(V36,V37), P_c_Message_Omsg_OMPair-{F}(V38,V39,V10), P_c_Message_Omsg_OMPair-{F}(V5,V40,V41), P_c_Message_Omsg_OMPair-{F}(V37,V41,V42), P_c_Message_Omsg_OCrypt-{F}(V31,V42,V43), P_c_Message_Omsg_OMPair-{F}(V43,V44,V33), P_c_Message_Omsg_OMPair-{F}(V45,V46,V40), V45 == V38 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #247: exists( #10, #245 ), references = 1, size of lhs = 43:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_v_A-{F}(V12), P_v_B-{F}(V13), P_c_Message_Omsg_OAgent-{F}(V13,V14), P_v_na-{F}(V15), P_v_nb-{F}(V16), P_c_Message_Omsg_OMPair-{F}(V15,V16,V17), P_c_Message_Omsg_OMPair-{F}(V5,V17,V18), P_c_Message_Omsg_OMPair-{F}(V14,V18,V19), P_c_Public_OshrK-{F}(V13,V20), P_c_Message_Omsg_OAgent-{F}(V12,V21), P_c_Message_Omsg_OMPair-{F}(V21,V5,V22), P_c_Message_Omsg_OCrypt-{F}(V20,V22,V23), P_c_Yahalom_Oyahalom-{F}(V24), P_tc_Event_Oevent-{F}(V25), P_c_List_Oset-{F}(V0,V25,V26), P_tc_List_Olist-{F}(V25,V27), P_c_Message_Oagent_OServer-{F}(V28), P_c_List_Oset-{F}(V29,V25,V26), c_in-{F}(V29,V24,V27), P_c_Public_OshrK-{F}(V1,V30), P_c_Public_OshrK-{F}(V12,V31), P_c_Message_Omsg_OCrypt-{F}(V31,V19,V32), P_c_Message_Omsg_OAgent-{F}(V33,V3), P_c_Message_Omsg_OKey-{F}(V34,V5), P_c_Message_Omsg_OCrypt-{F}(V31,V35,V32), P_c_Message_Omsg_OAgent-{F}(V36,V37), P_c_Message_Omsg_OMPair-{F}(V37,V38,V35), P_c_Message_Omsg_OMPair-{F}(V5,V39,V38), P_c_Message_Omsg_OMPair-{F}(V40,V41,V10), P_c_Message_Omsg_OMPair-{F}(V42,V43,V39), V42 == V40 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #249: exists( #11, #246 ), references = 1, size of lhs = 42:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_v_A-{F}(V12), P_v_B-{F}(V13), P_c_Message_Omsg_OAgent-{F}(V13,V14), P_v_na-{F}(V15), P_v_nb-{F}(V16), P_c_Message_Omsg_OMPair-{F}(V15,V16,V17), P_c_Message_Omsg_OMPair-{F}(V5,V17,V18), P_c_Message_Omsg_OMPair-{F}(V14,V18,V19), P_c_Public_OshrK-{F}(V13,V20), P_c_Message_Omsg_OAgent-{F}(V12,V21), P_c_Message_Omsg_OMPair-{F}(V21,V5,V22), P_c_Yahalom_Oyahalom-{F}(V23), P_tc_Event_Oevent-{F}(V24), P_c_List_Oset-{F}(V0,V24,V25), P_tc_List_Olist-{F}(V24,V26), P_c_Message_Oagent_OServer-{F}(V27), P_c_List_Oset-{F}(V28,V24,V25), c_in-{F}(V28,V23,V26), P_c_Public_OshrK-{F}(V1,V29), P_c_Public_OshrK-{F}(V12,V30), P_c_Message_Omsg_OCrypt-{F}(V30,V19,V31), P_c_Message_Omsg_OAgent-{F}(V32,V3), P_c_Message_Omsg_OKey-{F}(V33,V5), P_c_Message_Omsg_OCrypt-{F}(V30,V34,V31), P_c_Message_Omsg_OAgent-{F}(V35,V36), P_c_Message_Omsg_OMPair-{F}(V36,V37,V34), P_c_Message_Omsg_OMPair-{F}(V5,V38,V37), P_c_Message_Omsg_OMPair-{F}(V39,V40,V10), P_c_Message_Omsg_OMPair-{F}(V41,V42,V38), V41 == V39 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #251: exists( #10, #248 ), references = 1, size of lhs = 41:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V7,V9,V10), P_v_X-{F}(V11), P_v_A-{F}(V12), P_v_B-{F}(V13), P_c_Message_Omsg_OAgent-{F}(V13,V14), P_v_na-{F}(V15), P_v_nb-{F}(V16), P_c_Message_Omsg_OMPair-{F}(V15,V16,V17), P_c_Message_Omsg_OMPair-{F}(V5,V17,V18), P_c_Message_Omsg_OMPair-{F}(V14,V18,V19), P_c_Public_OshrK-{F}(V13,V20), P_c_Message_Omsg_OAgent-{F}(V12,V21), P_c_Yahalom_Oyahalom-{F}(V22), P_tc_Event_Oevent-{F}(V23), P_c_List_Oset-{F}(V0,V23,V24), P_tc_List_Olist-{F}(V23,V25), P_c_Message_Oagent_OServer-{F}(V26), P_c_List_Oset-{F}(V27,V23,V24), c_in-{F}(V27,V22,V25), P_c_Public_OshrK-{F}(V1,V28), P_c_Public_OshrK-{F}(V12,V29), P_c_Message_Omsg_OCrypt-{F}(V29,V19,V30), P_c_Message_Omsg_OAgent-{F}(V31,V3), P_c_Message_Omsg_OKey-{F}(V32,V5), P_c_Message_Omsg_OCrypt-{F}(V29,V33,V30), P_c_Message_Omsg_OAgent-{F}(V34,V35), P_c_Message_Omsg_OMPair-{F}(V35,V36,V33), P_c_Message_Omsg_OMPair-{F}(V5,V37,V36), P_c_Message_Omsg_OMPair-{F}(V38,V39,V10), P_c_Message_Omsg_OMPair-{F}(V40,V41,V37), V40 == V38 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #253: exists( #10, #250 ), references = 1, size of lhs = 39:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), P_v_nb-{F}(V15), P_c_Message_Omsg_OMPair-{F}(V14,V15,V16), P_c_Message_Omsg_OMPair-{F}(V5,V16,V17), P_c_Message_Omsg_OMPair-{F}(V13,V17,V18), P_c_Public_OshrK-{F}(V12,V19), P_c_Message_Omsg_OAgent-{F}(V11,V20), P_c_Yahalom_Oyahalom-{F}(V21), P_tc_Event_Oevent-{F}(V22), P_c_List_Oset-{F}(V0,V22,V23), P_tc_List_Olist-{F}(V22,V24), P_c_Message_Oagent_OServer-{F}(V25), P_c_List_Oset-{F}(V26,V22,V23), c_in-{F}(V26,V21,V24), P_c_Public_OshrK-{F}(V1,V27), P_c_Public_OshrK-{F}(V11,V28), P_c_Message_Omsg_OCrypt-{F}(V28,V18,V29), P_c_Message_Omsg_OAgent-{F}(V30,V3), P_c_Message_Omsg_OKey-{F}(V31,V5), P_c_Message_Omsg_OCrypt-{F}(V28,V32,V29), P_c_Message_Omsg_OAgent-{F}(V33,V34), P_c_Message_Omsg_OMPair-{F}(V34,V35,V32), P_c_Message_Omsg_OMPair-{F}(V5,V36,V35), P_c_Message_Omsg_OMPair-{F}(V37,V38,V36), V37 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #255: exists( #11, #252 ), references = 2, size of lhs = 37:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), P_v_nb-{F}(V15), P_c_Message_Omsg_OMPair-{F}(V14,V15,V16), P_c_Message_Omsg_OMPair-{F}(V5,V16,V17), P_c_Message_Omsg_OMPair-{F}(V13,V17,V18), P_c_Public_OshrK-{F}(V12,V19), P_c_Message_Omsg_OAgent-{F}(V11,V20), P_c_Yahalom_Oyahalom-{F}(V21), P_tc_Event_Oevent-{F}(V22), P_c_List_Oset-{F}(V0,V22,V23), P_tc_List_Olist-{F}(V22,V24), P_c_Message_Oagent_OServer-{F}(V25), P_c_List_Oset-{F}(V26,V22,V23), c_in-{F}(V26,V21,V24), P_c_Public_OshrK-{F}(V1,V27), P_c_Public_OshrK-{F}(V11,V28), P_c_Message_Omsg_OAgent-{F}(V29,V3), P_c_Message_Omsg_OKey-{F}(V30,V5), P_c_Message_Omsg_OAgent-{F}(V31,V32), P_c_Message_Omsg_OMPair-{F}(V32,V33,V18), P_c_Message_Omsg_OMPair-{F}(V5,V34,V33), P_c_Message_Omsg_OMPair-{F}(V35,V36,V34), V35 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #257: exists( #15, #254 ), references = 2, size of lhs = 35:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), P_v_nb-{F}(V15), P_c_Message_Omsg_OMPair-{F}(V14,V15,V16), P_c_Message_Omsg_OMPair-{F}(V5,V16,V17), P_c_Message_Omsg_OMPair-{F}(V13,V17,V18), P_c_Public_OshrK-{F}(V12,V19), P_c_Message_Omsg_OAgent-{F}(V11,V20), P_c_Yahalom_Oyahalom-{F}(V21), P_tc_Event_Oevent-{F}(V22), P_tc_List_Olist-{F}(V22,V23), c_in-{F}(V0,V21,V23), P_c_Message_Oagent_OServer-{F}(V24), P_c_Public_OshrK-{F}(V1,V25), P_c_Public_OshrK-{F}(V11,V26), P_c_Message_Omsg_OAgent-{F}(V27,V3), P_c_Message_Omsg_OKey-{F}(V28,V5), P_c_Message_Omsg_OAgent-{F}(V29,V30), P_c_Message_Omsg_OMPair-{F}(V30,V31,V18), P_c_Message_Omsg_OMPair-{F}(V5,V32,V31), P_c_Message_Omsg_OMPair-{F}(V33,V34,V32), V33 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #260: exists( #10, #257 ), references = 1, size of lhs = 33:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), P_v_nb-{F}(V15), P_c_Message_Omsg_OMPair-{F}(V14,V15,V16), P_c_Message_Omsg_OMPair-{F}(V5,V16,V17), P_c_Public_OshrK-{F}(V12,V18), P_c_Message_Omsg_OAgent-{F}(V11,V19), P_c_Yahalom_Oyahalom-{F}(V20), P_tc_Event_Oevent-{F}(V21), P_tc_List_Olist-{F}(V21,V22), c_in-{F}(V0,V20,V22), P_c_Message_Oagent_OServer-{F}(V23), P_c_Public_OshrK-{F}(V1,V24), P_c_Public_OshrK-{F}(V11,V25), P_c_Message_Omsg_OAgent-{F}(V26,V3), P_c_Message_Omsg_OKey-{F}(V27,V5), P_c_Message_Omsg_OAgent-{F}(V28,V13), P_c_Message_Omsg_OMPair-{F}(V5,V29,V17), P_c_Message_Omsg_OMPair-{F}(V30,V31,V29), V30 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #261: exists( #10, #255 ), references = 1, size of lhs = 35:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), P_v_nb-{F}(V15), P_c_Message_Omsg_OMPair-{F}(V14,V15,V16), P_c_Message_Omsg_OMPair-{F}(V5,V16,V17), P_c_Public_OshrK-{F}(V12,V18), P_c_Message_Omsg_OAgent-{F}(V11,V19), P_c_Yahalom_Oyahalom-{F}(V20), P_tc_Event_Oevent-{F}(V21), P_c_List_Oset-{F}(V0,V21,V22), P_tc_List_Olist-{F}(V21,V23), P_c_Message_Oagent_OServer-{F}(V24), P_c_List_Oset-{F}(V25,V21,V22), c_in-{F}(V25,V20,V23), P_c_Public_OshrK-{F}(V1,V26), P_c_Public_OshrK-{F}(V11,V27), P_c_Message_Omsg_OAgent-{F}(V28,V3), P_c_Message_Omsg_OKey-{F}(V29,V5), P_c_Message_Omsg_OAgent-{F}(V30,V13), P_c_Message_Omsg_OMPair-{F}(V5,V31,V17), P_c_Message_Omsg_OMPair-{F}(V32,V33,V31), V32 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #264: exists( #10, #258 ), references = 1, size of lhs = 31:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), P_v_nb-{F}(V15), P_c_Message_Omsg_OMPair-{F}(V14,V15,V16), P_c_Public_OshrK-{F}(V12,V17), P_c_Message_Omsg_OAgent-{F}(V11,V18), P_c_Yahalom_Oyahalom-{F}(V19), P_tc_Event_Oevent-{F}(V20), P_tc_List_Olist-{F}(V20,V21), c_in-{F}(V0,V19,V21), P_c_Message_Oagent_OServer-{F}(V22), P_c_Public_OshrK-{F}(V1,V23), P_c_Public_OshrK-{F}(V11,V24), P_c_Message_Omsg_OAgent-{F}(V25,V3), P_c_Message_Omsg_OKey-{F}(V26,V5), P_c_Message_Omsg_OAgent-{F}(V27,V13), P_c_Message_Omsg_OMPair-{F}(V28,V29,V16), V28 == V7 | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #266: exists( #10, #262 ), references = 1, size of lhs = 29:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), V14 == V7, P_v_nb-{F}(V15), P_c_Public_OshrK-{F}(V12,V16), P_c_Message_Omsg_OAgent-{F}(V11,V17), P_c_Yahalom_Oyahalom-{F}(V18), P_tc_Event_Oevent-{F}(V19), P_tc_List_Olist-{F}(V19,V20), c_in-{F}(V0,V18,V20), P_c_Message_Oagent_OServer-{F}(V21), P_c_Public_OshrK-{F}(V1,V22), P_c_Public_OshrK-{F}(V11,V23), P_c_Message_Omsg_OAgent-{F}(V24,V3), P_c_Message_Omsg_OKey-{F}(V25,V5), P_c_Message_Omsg_OAgent-{F}(V26,V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #268: exists( #13, #265 ), references = 1, size of lhs = 28:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), V14 == V7, P_v_nb-{F}(V15), P_c_Public_OshrK-{F}(V12,V16), P_c_Yahalom_Oyahalom-{F}(V17), P_tc_Event_Oevent-{F}(V18), P_tc_List_Olist-{F}(V18,V19), c_in-{F}(V0,V17,V19), P_c_Message_Oagent_OServer-{F}(V20), P_c_Public_OshrK-{F}(V1,V21), P_c_Public_OshrK-{F}(V11,V22), P_c_Message_Omsg_OAgent-{F}(V23,V3), P_c_Message_Omsg_OKey-{F}(V24,V5), P_c_Message_Omsg_OAgent-{F}(V25,V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #270: exists( #12, #267 ), references = 2, size of lhs = 27:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), V14 == V7, P_v_nb-{F}(V15), P_c_Public_OshrK-{F}(V12,V16), P_c_Yahalom_Oyahalom-{F}(V17), P_tc_Event_Oevent-{F}(V18), P_tc_List_Olist-{F}(V18,V19), c_in-{F}(V0,V17,V19), P_c_Message_Oagent_OServer-{F}(V20), P_c_Public_OshrK-{F}(V1,V21), P_c_Message_Omsg_OAgent-{F}(V22,V3), P_c_Message_Omsg_OKey-{F}(V23,V5), P_c_Message_Omsg_OAgent-{F}(V24,V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #274: mergings( V2 == V21; #272 ), references = 2, size of lhs = 25:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_c_Message_Omsg_OAgent-{F}(V12,V13), P_v_na-{F}(V14), V14 == V7, P_v_nb-{F}(V15), P_c_Public_OshrK-{F}(V12,V16), P_c_Yahalom_Oyahalom-{F}(V17), P_tc_Event_Oevent-{F}(V18), P_c_Message_Oagent_OServer-{F}(V19), P_c_Public_OshrK-{F}(V1,V20), P_c_Message_Omsg_OAgent-{F}(V21,V3), P_c_Message_Omsg_OKey-{F}(V22,V5), P_c_Message_Omsg_OAgent-{F}(V23,V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #277: mergings( V2 == V18; #275 ), references = 1, size of lhs = 22:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_v_NB-{F}(V6), P_v_X-{F}(V7), P_v_A-{F}(V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_v_na-{F}(V11), P_v_nb-{F}(V12), P_c_Public_OshrK-{F}(V9,V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_c_Message_Oagent_OServer-{F}(V16), P_c_Public_OshrK-{F}(V1,V17), P_c_Message_Omsg_OAgent-{F}(V18,V3), P_c_Message_Omsg_OKey-{F}(V19,V5), P_c_Message_Omsg_OAgent-{F}(V20,V10) | P_c_Message_Omsg_ONonce-{T}(V6,V11)
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #295: mergings( V13 == V19, V14 == V20, V2 == V15, V15 == V21, V3 == V22, V4 == V23, V16 == V24, V5 == V25, V6 == V26, V7 == V29, V8 == V30, V9 == V31, V12 == V34, V10 == V32, V11 == V33; #279 ), references = 2, size of lhs = 20:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_c_Message_Omsg_OAgent-{F}(V8,V7), P_v_K-{F}(V9), P_v_NA-{F}(V10), P_v_NB-{F}(V10), P_v_na-{F}(V11), P_v_X-{F}(V12), P_v_A-{F}(V13), P_v_B-{F}(V14), P_c_Message_Omsg_OAgent-{F}(V14,V15), P_c_Message_Omsg_OAgent-{F}(V16,V15), P_v_nb-{F}(V17), P_c_Public_OshrK-{F}(V14,V18) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #308: mergings( V9 == V13, V10 == V14, V2 == V11, V11 == V15, V8 == V25, V3 == V16, V4 == V17, V12 == V18, V5 == V22, V6 == V23, V7 == V24; #296 ), references = 1, size of lhs = 16:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_v_B-{F}(V6), P_v_K-{F}(V7), P_v_NA-{F}(V8), P_v_NB-{F}(V8), P_v_na-{F}(V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_nb-{F}(V12), P_c_Public_OshrK-{F}(V6,V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #318: mergings( V7 == V10, V8 == V11, V2 == V9, V9 == V12, V3 == V13, V4 == V17, V5 == V18, V6 == V19; #309 ), references = 1, size of lhs = 14:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V4), P_v_B-{F}(V4), P_v_K-{F}(V5), P_v_NA-{F}(V6), P_v_NB-{F}(V6), P_v_na-{F}(V7), P_v_X-{F}(V8), P_v_A-{F}(V9), P_v_nb-{F}(V10) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #327: mergings( V5 == V8, V6 == V9, V1 == V7, V7 == V10, V2 == V11, V3 == V16, V4 == V17; #319 ), references = 1, size of lhs = 13:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V4), P_v_B-{F}(V4), P_v_K-{F}(V5), P_v_NA-{F}(V6), P_v_NB-{F}(V6), P_v_na-{F}(V7), P_v_X-{F}(V8), P_v_A-{F}(V9) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #336: mergings( V5 == V8, V6 == V9, V1 == V7, V7 == V10, V2 == V11, V3 == V15, V4 == V16; #328 ), references = 1, size of lhs = 12:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V4), P_v_B-{F}(V4), P_v_K-{F}(V5), P_v_NA-{F}(V6), P_v_NB-{F}(V6), P_v_X-{F}(V7), P_v_A-{F}(V8) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #340: exists( #13, #295 ), references = 1, size of lhs = 18:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_c_Message_Omsg_OAgent-{F}(V8,V7), P_v_K-{F}(V9), P_v_NA-{F}(V10), P_v_NB-{F}(V10), P_v_na-{F}(V11), P_v_X-{F}(V12), P_v_A-{F}(V13), P_v_B-{F}(V14), P_v_nb-{F}(V15), P_c_Public_OshrK-{F}(V14,V16) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #341: exists( #13, #274 ), references = 2, size of lhs = 23:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_v_na-{F}(V13), V13 == V7, P_v_nb-{F}(V14), P_c_Public_OshrK-{F}(V12,V15), P_c_Yahalom_Oyahalom-{F}(V16), P_tc_Event_Oevent-{F}(V17), P_c_Message_Oagent_OServer-{F}(V18), P_c_Public_OshrK-{F}(V1,V19), P_c_Message_Omsg_OAgent-{F}(V20,V3), P_c_Message_Omsg_OKey-{F}(V21,V5) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #342: exists( #13, #270 ), references = 2, size of lhs = 25:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_v_na-{F}(V13), V13 == V7, P_v_nb-{F}(V14), P_c_Public_OshrK-{F}(V12,V15), P_c_Yahalom_Oyahalom-{F}(V16), P_tc_Event_Oevent-{F}(V17), P_tc_List_Olist-{F}(V17,V18), c_in-{F}(V0,V16,V18), P_c_Message_Oagent_OServer-{F}(V19), P_c_Public_OshrK-{F}(V1,V20), P_c_Message_Omsg_OAgent-{F}(V21,V3), P_c_Message_Omsg_OKey-{F}(V22,V5) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #346: exists( #12, #337 ), references = 1, size of lhs = 17:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_c_Message_Omsg_OAgent-{F}(V8,V7), P_v_K-{F}(V9), P_v_NA-{F}(V10), P_v_NB-{F}(V10), P_v_na-{F}(V11), P_v_X-{F}(V12), P_v_A-{F}(V13), P_v_B-{F}(V14), P_v_nb-{F}(V15) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #348: exists( #13, #343 ), references = 1, size of lhs = 15:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_v_K-{F}(V7), P_v_NA-{F}(V8), P_v_NB-{F}(V8), P_v_na-{F}(V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_v_nb-{F}(V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #350: exists( #12, #347 ), references = 1, size of lhs = 14:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V7), P_v_na-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10), P_v_B-{F}(V11), P_v_nb-{F}(V12) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #352: exists( #27, #349 ), references = 1, size of lhs = 13:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V7), P_v_na-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10), P_v_B-{F}(V11) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #354: exists( #26, #351 ), references = 1, size of lhs = 12:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V7), P_v_X-{F}(V8), P_v_A-{F}(V9), P_v_B-{F}(V10) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #356: exists( #25, #353 ), references = 1, size of lhs = 11:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V7), P_v_X-{F}(V8), P_v_A-{F}(V9) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #358: exists( #24, #355 ), references = 1, size of lhs = 10:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V7), P_v_X-{F}(V8) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #360: exists( #23, #357 ), references = 1, size of lhs = 9:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V7) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #362: exists( #20, #113 ), references = 1, size of lhs = 20:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_v_K-{F}(V8), P_c_Message_Omsg_OKey-{F}(V8,V9), P_v_NA-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_na-{F}(V11), P_v_NB-{F}(V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_v_B-{F}(V15), P_c_Message_Omsg_OAgent-{F}(V15,V16), P_v_nb-{F}(V17), P_c_Public_OshrK-{F}(V15,V18) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #364: exists( #13, #361 ), references = 1, size of lhs = 19:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_v_K-{F}(V8), P_c_Message_Omsg_OKey-{F}(V8,V9), P_v_NA-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_na-{F}(V11), P_v_NB-{F}(V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_v_B-{F}(V15), P_v_nb-{F}(V16), P_c_Public_OshrK-{F}(V15,V17) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #366: exists( #12, #363 ), references = 2, size of lhs = 18:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_v_K-{F}(V8), P_c_Message_Omsg_OKey-{F}(V8,V9), P_v_NA-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_na-{F}(V11), P_v_NB-{F}(V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_v_B-{F}(V15), P_v_nb-{F}(V16) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #370: exists( #20, #341 ), references = 1, size of lhs = 22:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10), P_v_B-{F}(V11), P_v_na-{F}(V12), V12 == V7, P_v_nb-{F}(V13), P_c_Public_OshrK-{F}(V11,V14), P_c_Yahalom_Oyahalom-{F}(V15), P_tc_Event_Oevent-{F}(V16), P_c_Message_Oagent_OServer-{F}(V17), P_c_Public_OshrK-{F}(V1,V18), P_c_Message_Omsg_OAgent-{F}(V19,V3), P_c_Message_Omsg_OKey-{F}(V20,V5) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #371: exists( #20, #342 ), references = 1, size of lhs = 24:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10), P_v_B-{F}(V11), P_v_na-{F}(V12), V12 == V7, P_v_nb-{F}(V13), P_c_Public_OshrK-{F}(V11,V14), P_c_Yahalom_Oyahalom-{F}(V15), P_tc_Event_Oevent-{F}(V16), P_tc_List_Olist-{F}(V16,V17), c_in-{F}(V0,V15,V17), P_c_Message_Oagent_OServer-{F}(V18), P_c_Public_OshrK-{F}(V1,V19), P_c_Message_Omsg_OAgent-{F}(V20,V3), P_c_Message_Omsg_OKey-{F}(V21,V5) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #374: exists( #12, #367 ), references = 1, size of lhs = 21:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_v_NB-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10), P_v_B-{F}(V11), P_v_na-{F}(V12), V12 == V7, P_v_nb-{F}(V13), P_c_Yahalom_Oyahalom-{F}(V14), P_tc_Event_Oevent-{F}(V15), P_c_Message_Oagent_OServer-{F}(V16), P_c_Public_OshrK-{F}(V1,V17), P_c_Message_Omsg_OAgent-{F}(V18,V3), P_c_Message_Omsg_OKey-{F}(V19,V5) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #376: exists( #20, #372 ), references = 1, size of lhs = 19:
% 9.50/9.75 P_v_evso-{F}(V0), P_v_Aa-{F}(V1), P_v_Ba-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_v_NA-{F}(V6), P_v_NB-{F}(V7), P_v_X-{F}(V8), P_v_A-{F}(V9), P_v_B-{F}(V10), P_v_na-{F}(V11), P_v_nb-{F}(V12), P_c_Yahalom_Oyahalom-{F}(V13), P_tc_Event_Oevent-{F}(V14), P_c_Message_Oagent_OServer-{F}(V15), P_c_Public_OshrK-{F}(V1,V16), P_c_Message_Omsg_OAgent-{F}(V17,V3), P_c_Message_Omsg_OKey-{F}(V18,V5) | P_c_Message_Omsg_ONonce-{T}(V6,V11)
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #392: mergings( V11 == V16, V12 == V17, V13 == V18, V2 == V19, V3 == V20, V14 == V21, V4 == V22, V5 == V23, V6 == V26, V7 == V27, V8 == V28, V9 == V29, V10 == V30; #378 ), references = 1, size of lhs = 17:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_c_Message_Omsg_OAgent-{F}(V8,V7), P_v_K-{F}(V9), P_v_NA-{F}(V10), P_v_na-{F}(V11), P_v_NB-{F}(V12), P_v_X-{F}(V13), P_v_A-{F}(V14), P_v_B-{F}(V15), P_v_nb-{F}(V16) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #405: mergings( V9 == V13, V10 == V14, V11 == V15, V2 == V16, V3 == V17, V12 == V18, V4 == V22, V5 == V23, V6 == V24, V7 == V25, V8 == V26; #393 ), references = 1, size of lhs = 15:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_c_Public_OshrK-{F}(V4,V5), P_v_Ba-{F}(V6), P_v_K-{F}(V7), P_v_NA-{F}(V8), P_v_na-{F}(V9), P_v_NB-{F}(V10), P_v_X-{F}(V11), P_v_A-{F}(V12), P_v_B-{F}(V13), P_v_nb-{F}(V14) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #416: mergings( V8 == V11, V9 == V12, V10 == V13, V2 == V14, V3 == V19, V4 == V20, V5 == V21, V6 == V22, V7 == V23; #406 ), references = 1, size of lhs = 14:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_na-{F}(V8), P_v_NB-{F}(V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12), P_v_nb-{F}(V13) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #426: mergings( V6 == V9, V7 == V10, V8 == V11, V1 == V12, V2 == V18, V3 == V19, V4 == V20, V5 == V21; #417 ), references = 1, size of lhs = 13:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_na-{F}(V8), P_v_NB-{F}(V9), P_v_X-{F}(V10), P_v_A-{F}(V11), P_v_B-{F}(V12) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #436: mergings( V6 == V9, V7 == V10, V8 == V11, V1 == V12, V2 == V17, V3 == V18, V4 == V19, V5 == V20; #427 ), references = 1, size of lhs = 12:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10), P_v_B-{F}(V11) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #445: mergings( V5 == V8, V6 == V9, V7 == V10, V1 == V11, V2 == V16, V3 == V17, V4 == V18; #437 ), references = 1, size of lhs = 11:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V8), P_v_X-{F}(V9), P_v_A-{F}(V10) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #453: mergings( V4 == V7, V5 == V8, V6 == V9, V1 == V10, V2 == V15, V3 == V16; #446 ), references = 1, size of lhs = 10:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V8), P_v_X-{F}(V9) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #460: mergings( V3 == V6, V4 == V7, V5 == V8, V1 == V9, V2 == V14; #454 ), references = 1, size of lhs = 9:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7), P_v_NB-{F}(V8) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #466: mergings( V2 == V5, V3 == V6, V4 == V7, V1 == V8; #461 ), references = 1, size of lhs = 8:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6), P_v_NA-{F}(V7) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #472: mergings( V2 == V5, V3 == V6, V4 == V7, V1 == V8; #467 ), references = 1, size of lhs = 7:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5), P_v_K-{F}(V6) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #478: mergings( V2 == V5, V3 == V6, V4 == V7, V1 == V8; #473 ), references = 1, size of lhs = 6:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4), P_v_Ba-{F}(V5) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #484: mergings( V2 == V5, V3 == V6, V4 == V7, V1 == V8; #479 ), references = 1, size of lhs = 5:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3), P_v_Aa-{F}(V4) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #490: mergings( V2 == V5, V3 == V6, V4 == V7, V1 == V8; #485 ), references = 1, size of lhs = 4:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2), P_v_evso-{F}(V3) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #495: mergings( V1 == V4, V2 == V5, V3 == V6; #491 ), references = 1, size of lhs = 3:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1), P_c_Message_Oagent_OServer-{F}(V2) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #499: mergings( V1 == V3, V2 == V4; #496 ), references = 1, size of lhs = 2:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0), P_tc_Event_Oevent-{F}(V1) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #502: mergings( V1 == V2; #500 ), references = 1, size of lhs = 1:
% 9.50/9.75 P_c_Yahalom_Oyahalom-{F}(V0) | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 #504: exists( #5, #500 ), references = 1, size of lhs = 0:
% 9.50/9.75 FALSE | FALSE
% 9.50/9.75 (used 0 times, uses = {})
% 9.50/9.75
% 9.50/9.75 number of learnt formulas = 94
% 9.50/9.75
% 9.50/9.75
% 9.50/9.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.50/9.75
% 9.50/9.75 randbase = 1
%------------------------------------------------------------------------------