TSTP Solution File: SWV295-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV295-2 : 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 06:21:22 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV295-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 14:45:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.52 GeoParameters:
% 0.18/0.52
% 0.18/0.52 tptp_input = 1
% 0.18/0.52 tptp_output = 0
% 0.18/0.52 nonempty = 1
% 0.18/0.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 RuleSystem INPUT:
% 0.18/0.52
% 0.18/0.52 Initial Rules:
% 0.18/0.52 #0: input, references = 6, size of lhs = 13:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12) | c_in-{T}(V7,V11,V12)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #1: input, references = 6, size of lhs = 15:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V9,V13), c_in-{F}(V3,V13,V12) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #2: input, references = 4, size of lhs = 16:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V9,V13), P_v_NA-{F}(V14), V14 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #3: input, references = 6, size of lhs = 19:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V9,V13), P_v_NA-{F}(V14), P_c_Event_Oknows-{F}(V8,V16,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_Event_Oused-{F}(V16,V19), c_in-{F}(V15,V18,V12) | c_in-{T}(V15,V19,V12)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #4: input, references = 4, size of lhs = 18:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V9,V13), P_v_NA-{F}(V14), P_c_Message_Oparts-{F}(V16,V17), P_c_Message_Omsg_OMPair-{F}(V15,V18,V19), c_in-{F}(V19,V17,V12) | c_in-{T}(V15,V17,V12)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #5: input, references = 5, size of lhs = 18:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V9,V13), P_v_NA-{F}(V14), P_c_Message_Oparts-{F}(V16,V17), P_c_Message_Omsg_OCrypt-{F}(V18,V15,V19), c_in-{F}(V19,V17,V12) | c_in-{T}(V15,V17,V12)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #6: input, references = 6, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OCrypt-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #7: input, references = 4, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_c_Public_OshrK-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #8: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_Aa-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #9: input, references = 5, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OMPair-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #10: input, references = 4, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_ONonce-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #11: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_NAa-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #12: input, references = 5, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OKey-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #13: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_K-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #14: input, references = 7, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #15: input, references = 7, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Event_Oknows-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #16: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_c_Message_Oagent_OSpy-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #17: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_evs1-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #18: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #19: input, references = 4, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_c_Event_Oused-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #20: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_NA-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of initial rules = 21
% 0.18/0.52
% 0.18/0.52 Simplifiers:
% 0.18/0.52 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Public_OshrK-{F}(V0,V1), P_c_Public_OshrK-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_Aa-{F}(V0), P_v_Aa-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_c_Message_Omsg_OMPair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Omsg_ONonce-{F}(V0,V1), P_c_Message_Omsg_ONonce-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_NAa-{F}(V0), P_v_NAa-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_Omsg_OKey-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_K-{F}(V0), P_v_K-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Event_Oknows-{F}(V0,V1,V2), P_c_Event_Oknows-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Oagent_OSpy-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_evs1-{F}(V0), P_v_evs1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Event_Oused-{F}(V0,V1), P_c_Event_Oused-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_NA-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of simplifiers = 16
% 0.18/0.52
% 0.18/0.52 Learnt:
% 0.18/0.52 #38: exists( #14, #2 ), references = 1, size of lhs = 15:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_tc_Message_Omsg-{F}(V11), P_c_Event_Oused-{F}(V9,V12), P_v_NA-{F}(V13), V13 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #40: exists( #15, #37 ), references = 2, size of lhs = 14:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OCrypt-{F}(V1,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_tc_Message_Omsg-{F}(V10), P_c_Event_Oused-{F}(V9,V11), P_v_NA-{F}(V12), V12 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #44: exists( #6, #40 ), references = 1, size of lhs = 13:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_evs1-{F}(V8), P_tc_Message_Omsg-{F}(V9), P_c_Event_Oused-{F}(V8,V10), P_v_NA-{F}(V11), V11 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #46: exists( #9, #41 ), references = 1, size of lhs = 12:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Message_Oagent_OSpy-{F}(V6), P_v_evs1-{F}(V7), P_tc_Message_Omsg-{F}(V8), P_c_Event_Oused-{F}(V7,V9), P_v_NA-{F}(V10), V10 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #48: exists( #12, #45 ), references = 1, size of lhs = 11:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Oagent_OSpy-{F}(V5), P_v_evs1-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_Event_Oused-{F}(V6,V8), P_v_NA-{F}(V9), V9 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #50: exists( #10, #47 ), references = 1, size of lhs = 9:
% 0.18/0.52 P_v_Aa-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NAa-{F}(V2), P_v_K-{F}(V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs1-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_Event_Oused-{F}(V5,V7), P_v_NA-{F}(V8) | P_c_Message_Omsg_ONonce-{T}(V2,V8)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #77: mergings( V2 == V12, V3 == V13, V12 == V24, V13 == V25, V4 == V14, V5 == V15, V14 == V26, V15 == V9, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V16 == V27, V17 == V28, V18 == V29, V19 == V30, V10 == V20, V20 == V31, V11 == V21, V21 == V32, V22 == V34; #55 ), references = 1, size of lhs = 16:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OMPair-{F}(V4,V6,V7), P_c_Message_Omsg_OCrypt-{F}(V2,V7,V4), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_tc_Message_Omsg-{F}(V11), P_c_Event_Oused-{F}(V9,V12), P_c_Event_Oused-{F}(V13,V12), P_c_Event_Oknows-{F}(V8,V13,V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #96: mergings( V3 == V11, V4 == V12, V11 == V21, V12 == V22, V5 == V13, V6 == V14, V13 == V23, V14 == V10, V7 == V15, V8 == V16, V9 == V17, V10 == V18, V15 == V24, V16 == V25, V17 == V26, V18 == V27, V19 == V29; #78 ), references = 1, size of lhs = 13:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OMPair-{F}(V4,V6,V7), P_c_Message_Omsg_OCrypt-{F}(V2,V7,V4), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_tc_Message_Omsg-{F}(V10), P_c_Event_Oused-{F}(V9,V11) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #139: mergings( V2 == V12, V3 == V13, V12 == V24, V13 == V25, V24 == V36, V25 == V37, V4 == V14, V5 == V15, V14 == V26, V15 == V27, V26 == V38, V27 == V39, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V16 == V28, V17 == V29, V18 == V30, V19 == V31, V28 == V40, V29 == V41, V30 == V42, V31 == V43, V10 == V20, V20 == V32, V32 == V44, V11 == V21, V21 == V33, V33 == V45, V22 == V34, V34 == V47, V23 == V35; #105 ), references = 1, size of lhs = 17:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OMPair-{F}(V4,V6,V7), P_c_Message_Omsg_OCrypt-{F}(V2,V7,V8), P_c_Message_Oagent_OSpy-{F}(V9), P_v_evs1-{F}(V10), P_c_Event_Oknows-{F}(V9,V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V10,V13), P_c_Event_Oused-{F}(V14,V13), P_c_Event_Oknows-{F}(V9,V14,V11), P_c_Message_Omsg_OCrypt-{F}(V15,V4,V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #168: mergings( V3 == V11, V4 == V12, V11 == V21, V12 == V22, V21 == V31, V22 == V32, V5 == V13, V6 == V14, V13 == V23, V14 == V24, V23 == V33, V24 == V34, V7 == V15, V8 == V16, V9 == V17, V10 == V18, V15 == V25, V16 == V26, V17 == V27, V18 == V28, V25 == V35, V26 == V36, V27 == V37, V28 == V38, V19 == V29, V29 == V40, V20 == V30; #140 ), references = 1, size of lhs = 14:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OMPair-{F}(V4,V6,V7), P_c_Message_Omsg_OCrypt-{F}(V2,V7,V8), P_c_Message_Oagent_OSpy-{F}(V9), P_v_evs1-{F}(V10), P_tc_Message_Omsg-{F}(V11), P_c_Event_Oused-{F}(V10,V12), P_c_Message_Omsg_OCrypt-{F}(V13,V4,V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #188: mergings( V3 == V8, V8 == V14, V14 == V20, V4 == V9, V5 == V10, V9 == V15, V10 == V16, V15 == V21, V16 == V1, V6 == V11, V7 == V12, V11 == V17, V12 == V18, V17 == V22, V18 == V23, V26 == V27, V27 == V29, V13 == V19; #169 ), references = 1, size of lhs = 12:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OMPair-{F}(V4,V6,V4), P_c_Message_Oagent_OSpy-{F}(V7), P_v_evs1-{F}(V8), P_tc_Message_Omsg-{F}(V9), P_c_Event_Oused-{F}(V8,V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #238: mergings( V3 == V12, V12 == V23, V23 == V34, V34 == V45, V4 == V13, V5 == V14, V13 == V24, V14 == V25, V24 == V35, V25 == V36, V35 == V46, V36 == V47, V6 == V15, V7 == V16, V15 == V26, V16 == V27, V26 == V37, V27 == V38, V37 == V48, V38 == V49, V8 == V17, V17 == V28, V28 == V39, V39 == V50, V9 == V18, V10 == V19, V11 == V20, V18 == V29, V19 == V30, V20 == V31, V29 == V40, V30 == V41, V31 == V42, V40 == V51, V41 == V52, V42 == V53, V21 == V32, V32 == V43, V43 == V55, V22 == V33, V33 == V44; #196 ), references = 1, size of lhs = 20:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Omsg_OMPair-{F}(V4,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_evs1-{F}(V9), P_c_Event_Oknows-{F}(V8,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12), P_c_Event_Oused-{F}(V9,V13), P_c_Event_Oused-{F}(V14,V13), P_c_Event_Oknows-{F}(V8,V14,V15), P_c_Message_Oparts-{F}(V15,V11), P_c_Message_Oparts-{F}(V16,V11), P_c_Message_Oparts-{F}(V17,V11), P_c_Message_Omsg_OMPair-{F}(V4,V18,V7) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #273: mergings( V3 == V11, V11 == V20, V20 == V29, V29 == V38, V5 == V12, V12 == V21, V21 == V30, V30 == V39, V6 == V13, V13 == V22, V22 == V31, V31 == V40, V7 == V14, V14 == V23, V23 == V32, V32 == V41, V8 == V15, V9 == V16, V10 == V17, V15 == V24, V16 == V25, V17 == V26, V24 == V33, V25 == V34, V26 == V35, V33 == V42, V34 == V43, V35 == V44, V18 == V27, V27 == V36, V36 == V46, V19 == V28, V28 == V37; #239 ), references = 2, size of lhs = 18:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_evs1-{F}(V8), P_c_Event_Oknows-{F}(V7,V8,V9), P_c_Message_Oparts-{F}(V9,V10), P_tc_Message_Omsg-{F}(V11), P_c_Event_Oused-{F}(V8,V12), P_c_Event_Oused-{F}(V13,V12), P_c_Event_Oknows-{F}(V7,V13,V14), P_c_Message_Oparts-{F}(V14,V10), P_c_Message_Oparts-{F}(V15,V10), P_c_Message_Oparts-{F}(V16,V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #275: exists( #14, #273 ), references = 1, size of lhs = 14:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_evs1-{F}(V8), P_c_Event_Oknows-{F}(V7,V8,V9), P_tc_Message_Omsg-{F}(V10), P_c_Event_Oused-{F}(V8,V11), P_c_Event_Oused-{F}(V12,V11), P_c_Event_Oknows-{F}(V7,V12,V9) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #277: exists( #15, #274 ), references = 1, size of lhs = 11:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Omsg_OKey-{F}(V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_evs1-{F}(V8), P_tc_Message_Omsg-{F}(V9), P_c_Event_Oused-{F}(V8,V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #279: exists( #12, #276 ), references = 1, size of lhs = 10:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_c_Public_OshrK-{F}(V1,V2), P_v_NAa-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_K-{F}(V5), P_c_Message_Oagent_OSpy-{F}(V6), P_v_evs1-{F}(V7), P_tc_Message_Omsg-{F}(V8), P_c_Event_Oused-{F}(V7,V9) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #288: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V8; #281 ), references = 1, size of lhs = 8:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_v_NAa-{F}(V2), P_v_K-{F}(V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs1-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_Event_Oused-{F}(V5,V7) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #294: mergings( V2 == V9, V3 == V10, V4 == V11, V5 == V6; #289 ), references = 1, size of lhs = 7:
% 0.18/0.52 P_v_NA-{F}(V0), P_v_Aa-{F}(V1), P_v_NAa-{F}(V2), P_v_K-{F}(V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs1-{F}(V5), P_tc_Message_Omsg-{F}(V6) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #299: mergings( V1 == V6, V2 == V7, V3 == V9; #295 ), references = 1, size of lhs = 6:
% 0.18/0.52 P_v_Aa-{F}(V0), P_v_NAa-{F}(V1), P_v_K-{F}(V2), P_c_Message_Oagent_OSpy-{F}(V3), P_v_evs1-{F}(V4), P_tc_Message_Omsg-{F}(V5) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #303: mergings( V1 == V5, V2 == V6; #300 ), references = 1, size of lhs = 5:
% 0.18/0.52 P_v_Aa-{F}(V0), P_v_NAa-{F}(V1), P_v_K-{F}(V2), P_c_Message_Oagent_OSpy-{F}(V3), P_v_evs1-{F}(V4) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #307: mergings( V1 == V5, V2 == V6; #304 ), references = 1, size of lhs = 4:
% 0.18/0.52 P_v_Aa-{F}(V0), P_v_NAa-{F}(V1), P_v_K-{F}(V2), P_c_Message_Oagent_OSpy-{F}(V3) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #310: mergings( V1 == V4; #308 ), references = 1, size of lhs = 3:
% 0.18/0.52 P_v_Aa-{F}(V0), P_v_NAa-{F}(V1), P_v_K-{F}(V2) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #312: exists( #13, #308 ), references = 1, size of lhs = 2:
% 0.18/0.52 P_v_Aa-{F}(V0), P_v_NAa-{F}(V1) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #314: exists( #11, #311 ), references = 1, size of lhs = 1:
% 0.18/0.52 P_v_Aa-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #316: exists( #8, #313 ), references = 1, size of lhs = 0:
% 0.18/0.52 FALSE | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of learnt formulas = 25
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 randbase = 1
%------------------------------------------------------------------------------