TSTP Solution File: SWV338-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV338-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:21:29 EDT 2022
% Result : Unsatisfiable 1.99s 2.20s
% Output : Refutation 1.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV338-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 15:31:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.99/2.20 GeoParameters:
% 1.99/2.20
% 1.99/2.20 tptp_input = 1
% 1.99/2.20 tptp_output = 0
% 1.99/2.20 nonempty = 1
% 1.99/2.20 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.20 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.99/2.20
% 1.99/2.20
% 1.99/2.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.20
% 1.99/2.20 RuleSystem INPUT:
% 1.99/2.20
% 1.99/2.20 Initial Rules:
% 1.99/2.20 #0: input, references = 6, size of lhs = 6:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_c_Event_Oknows-{F}(V0,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_c_Event_Oused-{F}(V3,V6), c_in-{F}(V2,V5,V1) | c_in-{T}(V2,V6,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #1: input, references = 5, size of lhs = 16:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OinvKey-{F}(V3,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Oparts-{F}(V4,V7), P_c_Message_Oanalz-{F}(V4,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_union-{F}(V10,V4,V1,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_OkeysFor-{F}(V12,V13), P_c_insert-{F}(V14,V10,V1,V15), P_c_Message_Oparts-{F}(V15,V16), P_c_Message_OkeysFor-{F}(V16,V17), c_in-{F}(V3,V17,V2), c_in-{F}(V14,V9,V1) | c_in-{T}(V6,V7,V1), c_in-{T}(V3,V13,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #2: input, references = 4, size of lhs = 7:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_c_Message_OinvKey-{F}(V4,V5), c_in-{F}(V4,V3,V2), V5 == V4 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #3: input, references = 4, size of lhs = 6:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_c_union-{F}(V4,V4,V5,V6), V6 == V4 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #4: input, references = 4, size of lhs = 5:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4) | c_in-{T}(V4,V3,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #5: input, references = 9, size of lhs = 10:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9) | c_in-{T}(V5,V9,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #6: input, references = 7, size of lhs = 13:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_Omsg_OKey-{F}(V4,V10), P_c_Event_Oused-{F}(V6,V11), c_in-{F}(V10,V11,V1) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #7: input, references = 9, size of lhs = 15:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_Omsg_OKey-{F}(V4,V10), P_c_Event_Oused-{F}(V6,V11), P_c_insert-{F}(V5,V7,V1,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_OkeysFor-{F}(V13,V14) | c_in-{T}(V4,V14,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #8: input, references = 6, size of lhs = 18:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_Omsg_OKey-{F}(V4,V10), P_c_Event_Oused-{F}(V6,V11), P_c_insert-{F}(V5,V7,V1,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_OkeysFor-{F}(V13,V14), P_c_Message_Oparts-{F}(V7,V15), P_c_Message_OkeysFor-{F}(V15,V16), c_in-{F}(V4,V16,V2) | c_in-{T}(V10,V11,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #9: input, references = 6, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #10: input, references = 4, size of lhs = 2:
% 1.99/2.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Event_Oknows-{T}(V0,V1,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #11: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_c_Message_Oagent_OSpy-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #12: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #13: input, references = 4, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Event_Oused-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #14: input, references = 6, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Message_OkeysFor-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #15: input, references = 5, size of lhs = 3:
% 1.99/2.20 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #16: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #17: input, references = 6, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #18: input, references = 6, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #19: input, references = 4, size of lhs = 3:
% 1.99/2.20 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #20: input, references = 4, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OKey-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #21: input, references = 4, size of lhs = 1:
% 1.99/2.20 #-{F} V0 | EXISTS V1: P_c_Message_OinvKey-{T}(V0,V1)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #22: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_c_Message_OsymKeys-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #23: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_v_K-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #24: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #25: input, references = 4, size of lhs = 0:
% 1.99/2.20 FALSE | EXISTS V0: P_v_evsf-{T}(V0)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 number of initial rules = 26
% 1.99/2.20
% 1.99/2.20 Simplifiers:
% 1.99/2.20 #26: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #27: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Event_Oknows-{F}(V0,V1,V2), P_c_Event_Oknows-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #28: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #29: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #30: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Event_Oused-{F}(V0,V1), P_c_Event_Oused-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #31: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_Omsg_OKey-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #32: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #33: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_OkeysFor-{F}(V0,V1), P_c_Message_OkeysFor-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #34: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #35: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #36: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #37: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #38: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #39: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_c_Message_OsymKeys-{F}(V0), P_c_Message_OsymKeys-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #40: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_v_K-{F}(V0), P_v_K-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #41: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #42: unsound, references = 3, size of lhs = 3:
% 1.99/2.20 P_v_evsf-{F}(V0), P_v_evsf-{F}(V1), V0 == V1 | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 number of simplifiers = 17
% 1.99/2.20
% 1.99/2.20 Learnt:
% 1.99/2.20 #44: exists( #19, #3 ), references = 4, size of lhs = 6:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), #-{F} V4, #-{F} V5 | P_c_union-{T}(V4,V4,V5,V4)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #47: exists( #17, #6 ), references = 4, size of lhs = 12:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OKey-{F}(V4,V9), P_c_Event_Oused-{F}(V6,V10), c_in-{F}(V9,V10,V1) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #49: exists( #18, #46 ), references = 4, size of lhs = 11:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Omsg_OKey-{F}(V4,V8), P_c_Event_Oused-{F}(V6,V9), c_in-{F}(V8,V9,V1) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #59: mergings( V0 == V18, V2 == V19; #54 ), references = 4, size of lhs = 23:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Omsg_OKey-{F}(V4,V8), P_c_Event_Oused-{F}(V6,V9), P_c_Message_Oparts-{F}(V10,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Osynth-{F}(V11,V12), c_in-{F}(V13,V12,V1), P_c_Message_Omsg_OKey-{F}(V14,V8), P_c_Message_OinvKey-{F}(V15,V14), c_in-{F}(V15,V16,V2), P_c_Message_OkeysFor-{F}(V17,V16), P_c_Message_Oparts-{F}(V18,V17), P_c_insert-{F}(V13,V19,V1,V18), P_c_union-{F}(V19,V10,V1,V20), P_c_Message_Oparts-{F}(V20,V21), P_c_Message_OkeysFor-{F}(V21,V22) | c_in-{T}(V15,V22,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #62: mergings( V0 == V18, V2 == V19; #55 ), references = 1, size of lhs = 24:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OKey-{F}(V4,V9), P_c_Event_Oused-{F}(V6,V10), P_c_Message_Oparts-{F}(V11,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Osynth-{F}(V12,V13), c_in-{F}(V14,V13,V1), P_c_Message_Omsg_OKey-{F}(V15,V9), P_c_Message_OinvKey-{F}(V16,V15), c_in-{F}(V16,V17,V2), P_c_Message_OkeysFor-{F}(V18,V17), P_c_Message_Oparts-{F}(V19,V18), P_c_insert-{F}(V14,V20,V1,V19), P_c_union-{F}(V20,V11,V1,V21), P_c_Message_Oparts-{F}(V21,V22), P_c_Message_OkeysFor-{F}(V22,V23) | c_in-{T}(V16,V23,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #65: mergings( V0 == V18, V2 == V19; #56 ), references = 1, size of lhs = 25:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_Omsg_OKey-{F}(V4,V10), P_c_Event_Oused-{F}(V6,V11), P_c_Message_Oparts-{F}(V12,V11), P_c_Message_Oanalz-{F}(V12,V13), P_c_Message_Osynth-{F}(V13,V14), c_in-{F}(V15,V14,V1), P_c_Message_Omsg_OKey-{F}(V16,V10), P_c_Message_OinvKey-{F}(V17,V16), c_in-{F}(V17,V18,V2), P_c_Message_OkeysFor-{F}(V19,V18), P_c_Message_Oparts-{F}(V20,V19), P_c_insert-{F}(V15,V21,V1,V20), P_c_union-{F}(V21,V12,V1,V22), P_c_Message_Oparts-{F}(V22,V23), P_c_Message_OkeysFor-{F}(V23,V24) | c_in-{T}(V17,V24,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #106: mergings( V2 == V14, V14 == V28, V3 == V15, V15 == V16, V16 == V29, V4 == V17, V17 == V30, V5 == V18, V11 == V22, V18 == V31, V22 == V31, V6 == V19, V19 == V32, V7 == V20, V8 == V21, V12 == V23, V20 == V33, V21 == V34, V23 == V36; #84 ), references = 1, size of lhs = 25:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_insert-{F}(V4,V6,V0,V9), P_c_Message_Oparts-{F}(V9,V10), P_c_Message_OinvKey-{F}(V3,V11), P_c_Message_Omsg_OKey-{F}(V11,V3), P_c_Event_Oused-{F}(V5,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V0), P_c_Message_Oparts-{F}(V17,V10), P_c_insert-{F}(V16,V18,V0,V17), P_c_union-{F}(V18,V13,V0,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_OkeysFor-{F}(V20,V12) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #127: mergings( V2 == V14, V14 == V28, V3 == V15, V15 == V16, V16 == V29, V4 == V17, V17 == V30, V5 == V18, V11 == V22, V18 == V31, V22 == V31, V6 == V19, V19 == V32, V7 == V20, V8 == V21, V12 == V23, V20 == V33, V21 == V34, V23 == V37, V9 == V35; #85 ), references = 1, size of lhs = 25:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_insert-{F}(V4,V6,V0,V7), P_c_Message_Oparts-{F}(V7,V8), P_c_Message_Oanalz-{F}(V6,V9), P_c_Message_Osynth-{F}(V9,V10), P_c_Message_OinvKey-{F}(V3,V11), P_c_Message_Omsg_OKey-{F}(V11,V3), P_c_Event_Oused-{F}(V5,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V0), P_c_Message_Oparts-{F}(V17,V8), P_c_insert-{F}(V16,V18,V0,V17), P_c_union-{F}(V18,V13,V0,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_OkeysFor-{F}(V20,V12) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #149: mergings( V2 == V14, V14 == V28, V3 == V15, V15 == V16, V16 == V29, V4 == V17, V17 == V30, V5 == V18, V11 == V22, V18 == V31, V22 == V31, V6 == V19, V19 == V32, V7 == V20, V8 == V21, V12 == V23, V20 == V33, V21 == V34, V23 == V38, V9 == V35, V10 == V36; #86 ), references = 1, size of lhs = 25:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_insert-{F}(V4,V6,V0,V7), P_c_Message_Oparts-{F}(V7,V8), P_c_Message_Oanalz-{F}(V6,V9), P_c_Message_Osynth-{F}(V9,V10), P_c_Message_OinvKey-{F}(V3,V11), P_c_Message_Omsg_OKey-{F}(V11,V3), P_c_Event_Oused-{F}(V5,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V0), P_c_Message_Oparts-{F}(V17,V8), P_c_insert-{F}(V16,V18,V0,V17), P_c_union-{F}(V18,V13,V0,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_OkeysFor-{F}(V20,V12) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #172: mergings( V2 == V13, V13 == V27, V3 == V14, V14 == V15, V15 == V28, V4 == V16, V16 == V29, V5 == V17, V11 == V21, V17 == V30, V21 == V30, V6 == V18, V18 == V31, V7 == V19, V8 == V20, V12 == V22, V19 == V32, V20 == V33, V22 == V35; #150 ), references = 1, size of lhs = 23:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_insert-{F}(V4,V6,V0,V9), P_c_Message_OinvKey-{F}(V3,V10), P_c_Message_Omsg_OKey-{F}(V10,V3), P_c_Event_Oused-{F}(V5,V11), P_c_Message_Oparts-{F}(V12,V11), P_c_Message_Oanalz-{F}(V12,V13), P_c_Message_Osynth-{F}(V13,V14), c_in-{F}(V15,V14,V0), P_c_insert-{F}(V15,V16,V0,V9), P_c_union-{F}(V16,V12,V0,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_Message_OkeysFor-{F}(V18,V11) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #193: mergings( V2 == V13, V13 == V27, V3 == V14, V14 == V15, V15 == V28, V4 == V16, V16 == V29, V5 == V17, V11 == V21, V17 == V30, V21 == V30, V6 == V18, V18 == V31, V7 == V19, V8 == V20, V12 == V22, V19 == V32, V20 == V33, V22 == V36, V9 == V34; #151 ), references = 1, size of lhs = 23:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_insert-{F}(V4,V6,V0,V7), P_c_Message_Oanalz-{F}(V6,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_OinvKey-{F}(V3,V10), P_c_Message_Omsg_OKey-{F}(V10,V3), P_c_Event_Oused-{F}(V5,V11), P_c_Message_Oparts-{F}(V12,V11), P_c_Message_Oanalz-{F}(V12,V13), P_c_Message_Osynth-{F}(V13,V14), c_in-{F}(V15,V14,V0), P_c_insert-{F}(V15,V16,V0,V7), P_c_union-{F}(V16,V12,V0,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_Message_OkeysFor-{F}(V18,V11) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #215: mergings( V2 == V13, V13 == V27, V3 == V14, V14 == V15, V15 == V28, V4 == V16, V16 == V29, V5 == V17, V11 == V21, V17 == V30, V21 == V30, V6 == V18, V18 == V31, V7 == V19, V8 == V20, V12 == V22, V19 == V32, V20 == V33, V22 == V37, V9 == V34, V10 == V35; #152 ), references = 1, size of lhs = 23:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_insert-{F}(V4,V6,V0,V7), P_c_Message_Oanalz-{F}(V6,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_OinvKey-{F}(V3,V10), P_c_Message_Omsg_OKey-{F}(V10,V3), P_c_Event_Oused-{F}(V5,V11), P_c_Message_Oparts-{F}(V12,V11), P_c_Message_Oanalz-{F}(V12,V13), P_c_Message_Osynth-{F}(V13,V14), c_in-{F}(V15,V14,V0), P_c_insert-{F}(V15,V16,V0,V7), P_c_union-{F}(V16,V12,V0,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_Message_OkeysFor-{F}(V18,V11) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #237: mergings( V4 == V12, V12 == V24, V2 == V13, V13 == V25, V5 == V14, V14 == V26, V6 == V15, V10 == V19, V15 == V27, V19 == V27, V0 == V16, V16 == V28, V7 == V17, V1 == V18, V11 == V20, V17 == V29, V18 == V30, V20 == V32; #216 ), references = 2, size of lhs = 21:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_Message_OinvKey-{F}(V3,V9), P_c_Message_Omsg_OKey-{F}(V9,V3), P_c_Event_Oused-{F}(V5,V10), P_c_Message_Oparts-{F}(V11,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Osynth-{F}(V12,V13), c_in-{F}(V4,V13,V0), P_c_union-{F}(V6,V11,V0,V14), P_c_Message_Oparts-{F}(V14,V15), P_c_Message_OkeysFor-{F}(V15,V10) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #257: mergings( V4 == V12, V12 == V24, V2 == V13, V13 == V25, V5 == V14, V14 == V26, V6 == V15, V10 == V19, V15 == V27, V19 == V27, V0 == V16, V16 == V28, V7 == V17, V1 == V18, V11 == V20, V17 == V29, V18 == V30, V20 == V33, V8 == V31; #217 ), references = 2, size of lhs = 21:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_Message_OinvKey-{F}(V3,V9), P_c_Message_Omsg_OKey-{F}(V9,V3), P_c_Event_Oused-{F}(V5,V10), P_c_Message_Oparts-{F}(V11,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Osynth-{F}(V12,V13), c_in-{F}(V4,V13,V0), P_c_union-{F}(V6,V11,V0,V14), P_c_Message_Oparts-{F}(V14,V15), P_c_Message_OkeysFor-{F}(V15,V10) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #278: mergings( V4 == V12, V12 == V24, V2 == V13, V13 == V25, V5 == V14, V14 == V26, V6 == V15, V10 == V19, V15 == V27, V19 == V27, V0 == V16, V16 == V28, V7 == V17, V1 == V18, V11 == V20, V17 == V29, V18 == V30, V20 == V34, V8 == V31, V9 == V32; #218 ), references = 2, size of lhs = 21:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_Message_OinvKey-{F}(V3,V9), P_c_Message_Omsg_OKey-{F}(V9,V3), P_c_Event_Oused-{F}(V5,V10), P_c_Message_Oparts-{F}(V11,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Osynth-{F}(V12,V13), c_in-{F}(V4,V13,V0), P_c_union-{F}(V6,V11,V0,V14), P_c_Message_Oparts-{F}(V14,V15), P_c_Message_OkeysFor-{F}(V15,V10) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #294: mergings( V2 == V9, V3 == V8, V4 == V10, V5 == V11, V6 == V13, V7 == V14; #285 ), references = 1, size of lhs = 18:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_OinvKey-{F}(V3,V8), P_c_Message_Omsg_OKey-{F}(V8,V3), P_c_Event_Oused-{F}(V5,V9), P_c_Message_Oparts-{F}(V10,V9), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V6,V10,V0,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_OkeysFor-{F}(V12,V9) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #301: mergings( V2 == V9, V3 == V8, V4 == V10, V5 == V11, V6 == V13, V7 == V14; #286 ), references = 1, size of lhs = 18:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_OinvKey-{F}(V3,V8), P_c_Message_Omsg_OKey-{F}(V8,V3), P_c_Event_Oused-{F}(V5,V9), P_c_Message_Oparts-{F}(V10,V9), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V6,V10,V0,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_OkeysFor-{F}(V12,V9) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #308: mergings( V2 == V9, V3 == V8, V4 == V10, V5 == V11, V6 == V13, V7 == V14; #287 ), references = 1, size of lhs = 18:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_OinvKey-{F}(V3,V8), P_c_Message_Omsg_OKey-{F}(V8,V3), P_c_Event_Oused-{F}(V5,V9), P_c_Message_Oparts-{F}(V10,V9), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V6,V10,V0,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_OkeysFor-{F}(V12,V9) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #317: mergings( V2 == V8, V3 == V7, V4 == V9, V5 == V10, V6 == V12; #309 ), references = 1, size of lhs = 16:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_OinvKey-{F}(V3,V7), P_c_Message_Omsg_OKey-{F}(V7,V3), P_c_Event_Oused-{F}(V5,V8), P_c_Message_Oparts-{F}(V6,V8), P_c_union-{F}(V6,V6,V0,V9), P_c_Message_Oparts-{F}(V9,V10), P_c_Message_OkeysFor-{F}(V10,V8) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #323: mergings( V2 == V8, V3 == V7, V4 == V9, V5 == V10, V6 == V12; #310 ), references = 1, size of lhs = 16:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_OinvKey-{F}(V3,V7), P_c_Message_Omsg_OKey-{F}(V7,V3), P_c_Event_Oused-{F}(V5,V8), P_c_Message_Oparts-{F}(V6,V8), P_c_union-{F}(V6,V6,V0,V9), P_c_Message_Oparts-{F}(V9,V10), P_c_Message_OkeysFor-{F}(V10,V8) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #329: mergings( V2 == V8, V3 == V7, V4 == V9, V5 == V10, V6 == V12; #311 ), references = 1, size of lhs = 16:
% 1.99/2.20 P_tc_Message_Omsg-{F}(V0), P_tc_nat-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), P_c_Message_OsymKeys-{F}(V2), P_v_K-{F}(V3), P_c_Message_Omsg_OKey-{F}(V3,V3), P_v_X-{F}(V4), P_v_evsf-{F}(V5), P_c_Event_Oknows-{F}(V1,V5,V6), P_c_Message_OinvKey-{F}(V3,V7), P_c_Message_Omsg_OKey-{F}(V7,V3), P_c_Event_Oused-{F}(V5,V8), P_c_Message_Oparts-{F}(V6,V8), P_c_union-{F}(V6,V6,V0,V9), P_c_Message_Oparts-{F}(V9,V10), P_c_Message_OkeysFor-{F}(V10,V8) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #345: mergings( V0 == V18, V18 == V19, V2 == V20; #339 ), references = 1, size of lhs = 26:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Omsg_OKey-{F}(V4,V8), P_c_Event_Oused-{F}(V6,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Message_Omsg_OKey-{F}(V17,V8), P_c_Message_OinvKey-{F}(V18,V17), c_in-{F}(V18,V19,V2), P_c_Message_OkeysFor-{F}(V20,V19), P_c_Message_Oparts-{F}(V21,V20), P_c_insert-{F}(V16,V22,V1,V21), P_c_union-{F}(V22,V13,V1,V23), P_c_Message_Oparts-{F}(V23,V24), P_c_Message_OkeysFor-{F}(V24,V25) | c_in-{T}(V18,V25,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #349: mergings( V0 == V18, V18 == V19, V2 == V20; #340 ), references = 1, size of lhs = 27:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OKey-{F}(V4,V9), P_c_Event_Oused-{F}(V6,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_Oparts-{F}(V14,V13), P_c_Message_Oanalz-{F}(V14,V15), P_c_Message_Osynth-{F}(V15,V16), c_in-{F}(V17,V16,V1), P_c_Message_Omsg_OKey-{F}(V18,V9), P_c_Message_OinvKey-{F}(V19,V18), c_in-{F}(V19,V20,V2), P_c_Message_OkeysFor-{F}(V21,V20), P_c_Message_Oparts-{F}(V22,V21), P_c_insert-{F}(V17,V23,V1,V22), P_c_union-{F}(V23,V14,V1,V24), P_c_Message_Oparts-{F}(V24,V25), P_c_Message_OkeysFor-{F}(V25,V26) | c_in-{T}(V19,V26,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #353: mergings( V0 == V18, V18 == V19, V2 == V20; #341 ), references = 1, size of lhs = 28:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oknows-{F}(V0,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), P_c_Message_Omsg_OKey-{F}(V4,V10), P_c_Event_Oused-{F}(V6,V11), P_c_Event_Oused-{F}(V12,V11), P_c_Event_Oknows-{F}(V0,V12,V13), P_c_Message_Oparts-{F}(V13,V14), P_c_Message_Oparts-{F}(V15,V14), P_c_Message_Oanalz-{F}(V15,V16), P_c_Message_Osynth-{F}(V16,V17), c_in-{F}(V18,V17,V1), P_c_Message_Omsg_OKey-{F}(V19,V10), P_c_Message_OinvKey-{F}(V20,V19), c_in-{F}(V20,V21,V2), P_c_Message_OkeysFor-{F}(V22,V21), P_c_Message_Oparts-{F}(V23,V22), P_c_insert-{F}(V18,V24,V1,V23), P_c_union-{F}(V24,V15,V1,V25), P_c_Message_Oparts-{F}(V25,V26), P_c_Message_OkeysFor-{F}(V26,V27) | c_in-{T}(V20,V27,V2)
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #382: mergings( V2 == V3, V3 == V4, V4 == V21, V21 == V33, V5 == V34, V6 == V22, V22 == V38, V7 == V23, V23 == V39, V8 == V24, V12 == V31, V24 == V40, V9 == V26, V26 == V41, V10 == V27, V11 == V28, V13 == V32, V27 == V42, V28 == V43; #360 ), references = 2, size of lhs = 31:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oanalz-{F}(V17,V18), P_c_Message_Osynth-{F}(V18,V19), P_c_Message_Oparts-{F}(V17,V20), P_c_insert-{F}(V7,V17,V1,V21), P_c_Message_Oparts-{F}(V21,V22), P_c_Message_OkeysFor-{F}(V22,V23), c_in-{F}(V4,V24,V2), P_c_Message_OkeysFor-{F}(V25,V24), P_c_Message_Oparts-{F}(V26,V25), P_c_insert-{F}(V16,V27,V1,V26), P_c_union-{F}(V27,V13,V1,V28), P_c_Message_Oparts-{F}(V28,V20) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #403: mergings( V2 == V3, V3 == V4, V4 == V21, V21 == V33, V5 == V34, V6 == V22, V22 == V38, V7 == V23, V23 == V39, V8 == V24, V12 == V31, V24 == V40, V9 == V26, V26 == V41, V10 == V27, V11 == V28, V13 == V32, V27 == V42, V28 == V43, V29 == V44; #361 ), references = 2, size of lhs = 31:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_insert-{F}(V7,V17,V1,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_OkeysFor-{F}(V20,V21), P_c_Message_Oanalz-{F}(V17,V22), P_c_Message_Osynth-{F}(V22,V23), c_in-{F}(V4,V24,V2), P_c_Message_OkeysFor-{F}(V25,V24), P_c_Message_Oparts-{F}(V26,V25), P_c_insert-{F}(V16,V27,V1,V26), P_c_union-{F}(V27,V13,V1,V28), P_c_Message_Oparts-{F}(V28,V18) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #425: mergings( V2 == V3, V3 == V4, V4 == V21, V21 == V33, V5 == V34, V6 == V22, V22 == V38, V7 == V23, V23 == V39, V8 == V24, V12 == V31, V24 == V40, V9 == V26, V26 == V41, V10 == V27, V11 == V28, V13 == V32, V27 == V42, V28 == V43, V29 == V44, V30 == V45; #362 ), references = 2, size of lhs = 31:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_insert-{F}(V7,V17,V1,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_OkeysFor-{F}(V20,V21), P_c_Message_Oanalz-{F}(V17,V22), P_c_Message_Osynth-{F}(V22,V23), c_in-{F}(V4,V24,V2), P_c_Message_OkeysFor-{F}(V25,V24), P_c_Message_Oparts-{F}(V26,V25), P_c_insert-{F}(V16,V27,V1,V26), P_c_union-{F}(V27,V13,V1,V28), P_c_Message_Oparts-{F}(V28,V18) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #443: mergings( V2 == V12, V3 == V13, V17 == V19, V4 == V15, V5 == V20, V6 == V21, V7 == V30, V10 == V22, V11 == V34, V8 == V31, V9 == V32; #429 ), references = 2, size of lhs = 28:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oanalz-{F}(V17,V18), P_c_Message_Osynth-{F}(V18,V19), P_c_Message_Oparts-{F}(V17,V20), P_c_insert-{F}(V7,V17,V1,V21), P_c_Message_Oparts-{F}(V21,V22), P_c_Message_Oparts-{F}(V23,V22), P_c_insert-{F}(V16,V24,V1,V23), P_c_union-{F}(V24,V13,V1,V25), P_c_Message_Oparts-{F}(V25,V20) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #455: mergings( V2 == V12, V3 == V13, V17 == V19, V4 == V15, V5 == V20, V6 == V21, V7 == V30, V10 == V22, V11 == V32, V8 == V33, V9 == V34; #430 ), references = 2, size of lhs = 28:
% 1.99/2.20 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_insert-{F}(V7,V17,V1,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_Oanalz-{F}(V17,V21), P_c_Message_Osynth-{F}(V21,V22), P_c_Message_Oparts-{F}(V23,V20), P_c_insert-{F}(V16,V24,V1,V23), P_c_union-{F}(V24,V13,V1,V25), P_c_Message_Oparts-{F}(V25,V18) | FALSE
% 1.99/2.20 (used 0 times, uses = {})
% 1.99/2.20
% 1.99/2.20 #467: mergings( V2 == V12, V3 == V13, V17 == V19, V4 == V15, V5 == V20, V6 == V21, V7 == V30, V10 == V22, V11 == V32, V8 == V33, V9 == V34; #431 ), references = 2, size of lhs = 28:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_insert-{F}(V7,V17,V1,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Message_Oanalz-{F}(V17,V21), P_c_Message_Osynth-{F}(V21,V22), P_c_Message_Oparts-{F}(V23,V20), P_c_insert-{F}(V16,V24,V1,V23), P_c_union-{F}(V24,V13,V1,V25), P_c_Message_Oparts-{F}(V25,V18) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #471: exists( #9, #443 ), references = 1, size of lhs = 26:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oanalz-{F}(V17,V18), P_c_Message_Osynth-{F}(V18,V19), P_c_Message_Oparts-{F}(V17,V20), P_c_insert-{F}(V7,V17,V1,V21), P_c_insert-{F}(V16,V22,V1,V21), P_c_union-{F}(V22,V13,V1,V23), P_c_Message_Oparts-{F}(V23,V20) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #472: exists( #9, #455 ), references = 1, size of lhs = 26:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_insert-{F}(V7,V17,V1,V19), P_c_Message_Oanalz-{F}(V17,V20), P_c_Message_Osynth-{F}(V20,V21), P_c_insert-{F}(V16,V22,V1,V19), P_c_union-{F}(V22,V13,V1,V23), P_c_Message_Oparts-{F}(V23,V18) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #473: exists( #9, #467 ), references = 1, size of lhs = 26:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V16,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_insert-{F}(V7,V17,V1,V19), P_c_Message_Oanalz-{F}(V17,V20), P_c_Message_Osynth-{F}(V20,V21), P_c_insert-{F}(V16,V22,V1,V19), P_c_union-{F}(V22,V13,V1,V23), P_c_Message_Oparts-{F}(V23,V18) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #477: exists( #15, #468 ), references = 2, size of lhs = 24:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V7,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V16), P_c_Message_Oanalz-{F}(V16,V17), P_c_Message_Osynth-{F}(V17,V18), P_c_Message_Oparts-{F}(V16,V19), P_c_union-{F}(V16,V13,V1,V20), P_c_Message_Oparts-{F}(V20,V19) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #478: exists( #15, #469 ), references = 2, size of lhs = 24:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V7,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V16), P_c_Message_Oparts-{F}(V16,V17), P_c_Message_Oanalz-{F}(V16,V18), P_c_Message_Osynth-{F}(V18,V19), P_c_union-{F}(V16,V13,V1,V20), P_c_Message_Oparts-{F}(V20,V17) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #479: exists( #15, #470 ), references = 2, size of lhs = 24:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Message_Osynth-{F}(V14,V15), c_in-{F}(V7,V15,V1), P_c_Event_Oknows-{F}(V0,V8,V16), P_c_Message_Oparts-{F}(V16,V17), P_c_Message_Oanalz-{F}(V16,V18), P_c_Message_Osynth-{F}(V18,V19), P_c_union-{F}(V16,V13,V1,V20), P_c_Message_Oparts-{F}(V20,V17) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #492: mergings( V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V16, V7 == V22; #483 ), references = 1, size of lhs = 21:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Event_Oknows-{F}(V0,V8,V15), P_c_Message_Oanalz-{F}(V15,V14), P_c_Message_Oparts-{F}(V15,V16), P_c_union-{F}(V15,V13,V1,V17), P_c_Message_Oparts-{F}(V17,V16) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #499: mergings( V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V16, V7 == V22; #484 ), references = 1, size of lhs = 21:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Event_Oknows-{F}(V0,V8,V15), P_c_Message_Oanalz-{F}(V15,V14), P_c_Message_Oparts-{F}(V15,V16), P_c_union-{F}(V15,V13,V1,V17), P_c_Message_Oparts-{F}(V17,V16) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #506: mergings( V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V16, V7 == V22; #485 ), references = 1, size of lhs = 21:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V0,V10,V11), P_c_Message_Oparts-{F}(V11,V12), P_c_Message_Oparts-{F}(V13,V12), P_c_Message_Oanalz-{F}(V13,V14), P_c_Event_Oknows-{F}(V0,V8,V15), P_c_Message_Oanalz-{F}(V15,V14), P_c_Message_Oparts-{F}(V15,V16), P_c_union-{F}(V15,V13,V1,V17), P_c_Message_Oparts-{F}(V17,V16) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #516: mergings( V19 == V20, V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V15; #507 ), references = 1, size of lhs = 18:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oknows-{F}(V0,V8,V9), P_c_Event_Oused-{F}(V8,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_Oparts-{F}(V9,V13), P_c_union-{F}(V9,V9,V1,V14), P_c_Message_Oparts-{F}(V14,V13) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #523: mergings( V19 == V20, V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V15; #508 ), references = 1, size of lhs = 18:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oknows-{F}(V0,V8,V9), P_c_Event_Oused-{F}(V8,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_Oparts-{F}(V9,V13), P_c_union-{F}(V9,V9,V1,V14), P_c_Message_Oparts-{F}(V14,V13) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #530: mergings( V19 == V20, V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V15; #509 ), references = 1, size of lhs = 18:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oknows-{F}(V0,V8,V9), P_c_Event_Oused-{F}(V8,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_Oparts-{F}(V9,V13), P_c_union-{F}(V9,V9,V1,V14), P_c_Message_Oparts-{F}(V14,V13) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #539: mergings( V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V15; #531 ), references = 1, size of lhs = 15:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oknows-{F}(V0,V8,V9), P_c_union-{F}(V9,V9,V1,V9), P_c_Event_Oused-{F}(V8,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V9) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #545: mergings( V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V15; #532 ), references = 1, size of lhs = 15:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oknows-{F}(V0,V8,V9), P_c_union-{F}(V9,V9,V1,V9), P_c_Event_Oused-{F}(V8,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V9) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #551: mergings( V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V15; #533 ), references = 1, size of lhs = 15:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oknows-{F}(V0,V8,V9), P_c_union-{F}(V9,V9,V1,V9), P_c_Event_Oused-{F}(V8,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V0,V11,V9) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #565: mergings( V3 == V0, V4 == V10, V5 == V7, V7 == V11, V6 == V8, V8 == V12, V9 == V13; #555 ), references = 2, size of lhs = 11:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #573: mergings( V3 == V0, V4 == V10, V5 == V7, V7 == V11, V6 == V8, V8 == V12, V9 == V13; #556 ), references = 2, size of lhs = 11:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #581: mergings( V3 == V0, V4 == V10, V5 == V7, V7 == V11, V6 == V8, V8 == V12, V9 == V13; #557 ), references = 2, size of lhs = 11:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OKey-{F}(V4,V6), P_v_X-{F}(V7), P_v_evsf-{F}(V8), P_c_Event_Oused-{F}(V8,V9) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #583: exists( #21, #2 ), references = 1, size of lhs = 5:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), c_in-{F}(V4,V3,V2) | P_c_Message_OinvKey-{T}(V4,V4)
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #587: exists( #20, #565 ), references = 1, size of lhs = 9:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oused-{F}(V6,V7) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #588: exists( #20, #573 ), references = 1, size of lhs = 9:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oused-{F}(V6,V7) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #589: exists( #20, #581 ), references = 1, size of lhs = 9:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6), P_c_Event_Oused-{F}(V6,V7) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #593: exists( #13, #584 ), references = 1, size of lhs = 8:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #594: exists( #13, #585 ), references = 1, size of lhs = 8:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #595: exists( #13, #586 ), references = 1, size of lhs = 8:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5), P_v_evsf-{F}(V6) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #599: exists( #25, #590 ), references = 1, size of lhs = 7:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4), P_v_X-{F}(V5) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #603: exists( #24, #596 ), references = 1, size of lhs = 6:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3), P_v_K-{F}(V4), P_c_Message_OinvKey-{F}(V4,V4) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #619: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8, V5 == V9, V6 == V10; #610 ), references = 1, size of lhs = 4:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_OsymKeys-{F}(V3) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #628: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7, V5 == V8; #620 ), references = 1, size of lhs = 3:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #636: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #629 ), references = 1, size of lhs = 2:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0), P_tc_Message_Omsg-{F}(V1) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #642: mergings( V1 == V2, V2 == V3; #637 ), references = 1, size of lhs = 1:
% 1.99/2.21 P_c_Message_Oagent_OSpy-{F}(V0) | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 #646: exists( #11, #637 ), references = 1, size of lhs = 0:
% 1.99/2.21 FALSE | FALSE
% 1.99/2.21 (used 0 times, uses = {})
% 1.99/2.21
% 1.99/2.21 number of learnt formulas = 62
% 1.99/2.21
% 1.99/2.21
% 1.99/2.21 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/2.21
% 1.99/2.21 randbase = 1
%------------------------------------------------------------------------------