TSTP Solution File: SWV331-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:21:27 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 16:07:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41 GeoParameters:
% 0.18/0.41
% 0.18/0.41 tptp_input = 1
% 0.18/0.41 tptp_output = 0
% 0.18/0.41 nonempty = 1
% 0.18/0.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 RuleSystem INPUT:
% 0.18/0.41
% 0.18/0.41 Initial Rules:
% 0.18/0.41 #0: input, references = 4, size of lhs = 4:
% 0.18/0.41 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_tc_List_Olist-{F}(V2,V3) | c_in-{T}(V0,V1,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #1: input, references = 4, size of lhs = 9:
% 0.18/0.41 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_tc_List_Olist-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Event_Oused-{F}(V0,V6), P_tc_Message_Omsg-{F}(V7), c_in-{F}(V5,V6,V7) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #2: input, references = 4, size of lhs = 10:
% 0.18/0.41 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_tc_List_Olist-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Event_Oused-{F}(V0,V6), P_tc_Message_Omsg-{F}(V7), P_c_Message_OsymKeys-{F}(V8), P_tc_nat-{F}(V9) | c_in-{T}(V4,V8,V9)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #3: input, references = 4, size of lhs = 16:
% 0.18/0.41 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_tc_List_Olist-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Event_Oused-{F}(V0,V6), P_tc_Message_Omsg-{F}(V7), P_c_Message_OsymKeys-{F}(V8), P_tc_nat-{F}(V9), P_v_NB-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_Message_Omsg_OCrypt-{F}(V4,V11,V12), P_c_Message_Oagent_OSpy-{F}(V13), P_c_Event_Oknows-{F}(V13,V0,V14), P_c_Message_Oparts-{F}(V14,V15) | c_in-{T}(V12,V15,V7)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #4: input, references = 4, size of lhs = 20:
% 0.18/0.41 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_tc_List_Olist-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Event_Oused-{F}(V0,V6), P_tc_Message_Omsg-{F}(V7), P_c_Message_OsymKeys-{F}(V8), P_tc_nat-{F}(V9), P_v_NB-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_Message_Omsg_OCrypt-{F}(V4,V11,V12), P_c_Message_Oagent_OSpy-{F}(V13), P_c_Event_Oknows-{F}(V13,V0,V14), P_c_Message_Oparts-{F}(V14,V15), c_in-{F}(V16,V8,V9), P_c_Message_OkeysFor-{F}(V17,V18), P_c_Message_Omsg_OCrypt-{F}(V16,V19,V20), c_in-{F}(V20,V17,V7) | c_in-{T}(V16,V18,V9)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #5: input, references = 4, size of lhs = 24:
% 0.18/0.41 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_tc_List_Olist-{F}(V2,V3), P_v_K-{F}(V4), P_c_Message_Omsg_OKey-{F}(V4,V5), P_c_Event_Oused-{F}(V0,V6), P_tc_Message_Omsg-{F}(V7), P_c_Message_OsymKeys-{F}(V8), P_tc_nat-{F}(V9), P_v_NB-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_Message_Omsg_OCrypt-{F}(V4,V11,V12), P_c_Message_Oagent_OSpy-{F}(V13), P_c_Event_Oknows-{F}(V13,V0,V14), P_c_Message_Oparts-{F}(V14,V15), P_c_Event_Oknows-{F}(V13,V16,V17), P_c_Message_Oparts-{F}(V17,V18), P_c_Message_OkeysFor-{F}(V18,V19), P_c_Event_Oused-{F}(V16,V20), c_in-{F}(V16,V1,V3), P_c_Message_Omsg_OKey-{F}(V21,V22), c_in-{F}(V21,V19,V9), c_in-{F}(V21,V8,V9) | c_in-{T}(V22,V20,V7)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #6: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_v_evs3-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #7: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_c_Yahalom_Oyahalom-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #8: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_tc_List_Olist-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #9: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_tc_Event_Oevent-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #10: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OKey-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #11: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_v_K-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #12: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_c_Event_Oused-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #13: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #14: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_c_Message_OsymKeys-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #15: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #16: input, references = 5, size of lhs = 2:
% 0.18/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OCrypt-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #17: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_ONonce-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #18: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_v_NB-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #19: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #20: input, references = 4, size of lhs = 2:
% 0.18/0.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Event_Oknows-{T}(V0,V1,V2)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #21: input, references = 4, size of lhs = 0:
% 0.18/0.42 FALSE | EXISTS V0: P_c_Message_Oagent_OSpy-{T}(V0)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #22: input, references = 4, size of lhs = 1:
% 0.18/0.42 #-{F} V0 | EXISTS V1: P_c_Message_OkeysFor-{T}(V0,V1)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 number of initial rules = 23
% 0.18/0.42
% 0.18/0.42 Simplifiers:
% 0.18/0.42 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_v_evs3-{F}(V0), P_v_evs3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Yahalom_Oyahalom-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_tc_List_Olist-{F}(V0,V1), P_tc_List_Olist-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_tc_Event_Oevent-{F}(V0), P_tc_Event_Oevent-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_Omsg_OKey-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_v_K-{F}(V0), P_v_K-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Event_Oused-{F}(V0,V1), P_c_Event_Oused-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_c_Message_OsymKeys-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_Omsg_ONonce-{F}(V0,V1), P_c_Message_Omsg_ONonce-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_v_NB-{F}(V0), P_v_NB-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Event_Oknows-{F}(V0,V1,V2), P_c_Event_Oknows-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_Oagent_OSpy-{F}(V0), P_c_Message_Oagent_OSpy-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Message_OkeysFor-{F}(V0,V1), P_c_Message_OkeysFor-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 number of simplifiers = 17
% 0.18/0.42
% 0.18/0.42 Learnt:
% 0.18/0.42 #50: mergings( V3 == V22, V4 == V23, V5 == V24, V6 == V25, V0 == V26, V7 == V21, V8 == V19; #42 ), references = 2, size of lhs = 23:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), c_in-{F}(V5,V0,V1), P_c_Message_Omsg_OKey-{F}(V5,V6), P_v_evs3-{F}(V7), P_c_Event_Oknows-{F}(V4,V7,V8), P_c_Message_Oparts-{F}(V8,V9), P_c_Event_Oused-{F}(V7,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V4,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Message_OkeysFor-{F}(V13,V14), c_in-{F}(V5,V14,V1), P_c_Yahalom_Oyahalom-{F}(V15), c_in-{F}(V11,V15,V16), P_tc_Event_Oevent-{F}(V17), P_tc_List_Olist-{F}(V17,V16), P_v_K-{F}(V18), P_c_Message_Omsg_OKey-{F}(V18,V6), P_tc_Message_Omsg-{F}(V19) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #67: mergings( V2 == V24, V3 == V30, V4 == V32, V5 == V31, V6 == V33, V7 == V23, V8 == V27, V9 == V34, V10 == V17, V11 == V20, V12 == V21, V14 == V22, V15 == V25, V16 == V26; #52 ), references = 1, size of lhs = 24:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), c_in-{F}(V2,V0,V1), P_v_NB-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_c_Message_Oagent_OSpy-{F}(V5), P_c_Message_Omsg_OKey-{F}(V2,V6), P_v_evs3-{F}(V7), P_c_Event_Oknows-{F}(V5,V7,V8), P_c_Message_Oparts-{F}(V8,V9), P_c_Event_Oused-{F}(V7,V10), P_c_Event_Oused-{F}(V11,V10), P_c_Event_Oknows-{F}(V5,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Yahalom_Oyahalom-{F}(V14), c_in-{F}(V11,V14,V15), P_tc_Event_Oevent-{F}(V16), P_tc_List_Olist-{F}(V16,V15), P_v_K-{F}(V17), P_c_Message_Omsg_OKey-{F}(V17,V6), P_c_Message_Omsg_OCrypt-{F}(V17,V4,V18), P_tc_Message_Omsg-{F}(V19), c_in-{F}(V20,V13,V19), P_c_Message_Omsg_OCrypt-{F}(V2,V21,V20) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #95: mergings( V2 == V15, V15 == V35, V3 == V16, V16 == V38, V4 == V17, V5 == V18, V17 == V40, V18 == V39, V6 == V19, V7 == V20, V19 == V41, V20 == V34, V8 == V21, V21 == V36, V22 == V42, V9 == V23, V23 == V28, V10 == V29, V11 == V24, V12 == V25, V13 == V26, V24 == V31, V25 == V32, V14 == V27, V27 == V33; #69 ), references = 1, size of lhs = 21:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), c_in-{F}(V2,V0,V1), P_v_NB-{F}(V3), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_c_Message_Oagent_OSpy-{F}(V5), P_c_Message_Omsg_OKey-{F}(V2,V6), P_v_evs3-{F}(V7), P_c_Event_Oknows-{F}(V5,V7,V8), P_c_Event_Oused-{F}(V7,V9), P_c_Event_Oused-{F}(V10,V9), P_c_Event_Oknows-{F}(V5,V10,V8), P_c_Yahalom_Oyahalom-{F}(V11), c_in-{F}(V10,V11,V12), P_tc_Event_Oevent-{F}(V13), P_tc_List_Olist-{F}(V13,V12), P_v_K-{F}(V14), P_c_Message_Omsg_OKey-{F}(V14,V6), P_c_Message_Omsg_OCrypt-{F}(V14,V4,V15), P_tc_Message_Omsg-{F}(V16), P_c_Message_Omsg_OCrypt-{F}(V2,V17,V15) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #119: mergings( V3 == V14, V14 == V30, V4 == V15, V15 == V33, V5 == V16, V6 == V17, V16 == V35, V17 == V34, V7 == V18, V18 == V29, V0 == V36, V8 == V19, V19 == V31, V20 == V37, V9 == V21, V21 == V24, V10 == V25, V11 == V22, V22 == V26, V1 == V27, V12 == V23, V23 == V28; #96 ), references = 1, size of lhs = 18:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs3-{F}(V5), P_c_Event_Oknows-{F}(V4,V5,V6), P_c_Event_Oused-{F}(V5,V7), P_c_Event_Oused-{F}(V8,V7), P_c_Event_Oknows-{F}(V4,V8,V6), P_c_Yahalom_Oyahalom-{F}(V9), c_in-{F}(V8,V9,V10), P_tc_Event_Oevent-{F}(V11), P_tc_List_Olist-{F}(V11,V10), P_v_K-{F}(V12), c_in-{F}(V12,V0,V1), P_c_Message_Omsg_OKey-{F}(V12,V13), P_tc_Message_Omsg-{F}(V14) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #139: mergings( V3 == V11, V11 == V27, V4 == V12, V5 == V13, V12 == V29, V13 == V28, V15 == V16, V16 == V25, V14 == V30, V6 == V17, V17 == V26, V18 == V31, V7 == V19, V19 == V21, V8 == V22, V9 == V20, V20 == V23, V10 == V24; #120 ), references = 1, size of lhs = 15:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs3-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_c_Yahalom_Oyahalom-{F}(V7), c_in-{F}(V5,V7,V8), P_tc_Event_Oevent-{F}(V9), P_tc_List_Olist-{F}(V9,V8), P_v_K-{F}(V10), c_in-{F}(V10,V0,V1), P_c_Message_Omsg_OKey-{F}(V10,V11), P_tc_Message_Omsg-{F}(V12) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #162: mergings( V2 == V6, V6 == V13, V13 == V28, V3 == V7, V4 == V8, V7 == V14, V8 == V15, V14 == V30, V15 == V29, V17 == V18, V18 == V19, V19 == V27, V16 == V31, V5 == V20, V20 == V32, V9 == V22, V10 == V23, V11 == V21, V21 == V24, V12 == V25; #141 ), references = 1, size of lhs = 13:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs3-{F}(V5), P_c_Yahalom_Oyahalom-{F}(V6), c_in-{F}(V5,V6,V7), P_tc_Event_Oevent-{F}(V8), P_tc_List_Olist-{F}(V8,V7), P_v_K-{F}(V9), P_c_Message_Omsg_OKey-{F}(V9,V10), P_tc_Message_Omsg-{F}(V11) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #180: mergings( V2 == V6, V6 == V13, V13 == V24, V3 == V7, V4 == V8, V7 == V14, V8 == V15, V14 == V26, V15 == V25, V5 == V16, V16 == V27, V9 == V18, V10 == V19, V11 == V17, V17 == V20, V12 == V21; #163 ), references = 1, size of lhs = 12:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs3-{F}(V5), P_c_Yahalom_Oyahalom-{F}(V6), c_in-{F}(V5,V6,V7), P_tc_Event_Oevent-{F}(V8), P_tc_List_Olist-{F}(V8,V7), P_v_K-{F}(V9), P_tc_Message_Omsg-{F}(V10) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #193: mergings( V2 == V4, V4 == V9, V9 == V18, V3 == V10, V10 == V20, V5 == V12, V6 == V13, V7 == V11, V11 == V14, V8 == V15; #182 ), references = 1, size of lhs = 10:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_evs3-{F}(V5), P_c_Yahalom_Oyahalom-{F}(V6), P_tc_Event_Oevent-{F}(V7), P_v_K-{F}(V8), P_tc_Message_Omsg-{F}(V9) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #202: mergings( V2 == V4, V4 == V7, V7 == V13, V3 == V8, V8 == V16, V5 == V9, V6 == V10; #194 ), references = 1, size of lhs = 9:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_c_Message_Oagent_OSpy-{F}(V3), P_v_evs3-{F}(V4), P_c_Yahalom_Oyahalom-{F}(V5), P_tc_Event_Oevent-{F}(V6), P_v_K-{F}(V7), P_tc_Message_Omsg-{F}(V8) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #211: mergings( V1 == V3, V3 == V6, V6 == V12, V2 == V7, V7 == V15, V4 == V8, V5 == V9; #203 ), references = 1, size of lhs = 8:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_NB-{F}(V2), P_v_evs3-{F}(V3), P_c_Yahalom_Oyahalom-{F}(V4), P_tc_Event_Oevent-{F}(V5), P_v_K-{F}(V6), P_tc_Message_Omsg-{F}(V7) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #220: mergings( V1 == V3, V3 == V6, V6 == V11, V2 == V7, V7 == V14, V4 == V8, V5 == V9; #212 ), references = 1, size of lhs = 7:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_tc_nat-{F}(V1), P_v_evs3-{F}(V2), P_c_Yahalom_Oyahalom-{F}(V3), P_tc_Event_Oevent-{F}(V4), P_v_K-{F}(V5), P_tc_Message_Omsg-{F}(V6) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #228: mergings( V1 == V3, V3 == V5, V5 == V9, V2 == V6, V6 == V12, V4 == V7; #221 ), references = 1, size of lhs = 6:
% 0.18/0.42 P_c_Message_OsymKeys-{F}(V0), P_v_evs3-{F}(V1), P_c_Yahalom_Oyahalom-{F}(V2), P_tc_Event_Oevent-{F}(V3), P_v_K-{F}(V4), P_tc_Message_Omsg-{F}(V5) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #235: mergings( V1 == V3, V3 == V4, V4 == V7, V2 == V5, V5 == V10; #229 ), references = 1, size of lhs = 5:
% 0.18/0.42 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_v_K-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #240: mergings( V1 == V2, V2 == V3, V3 == V5; #236 ), references = 1, size of lhs = 4:
% 0.18/0.42 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2), P_v_K-{F}(V3) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #245: mergings( V1 == V2, V2 == V3, V3 == V5; #241 ), references = 1, size of lhs = 3:
% 0.18/0.42 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1), P_tc_Event_Oevent-{F}(V2) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #250: mergings( V1 == V2, V2 == V3, V3 == V5; #246 ), references = 1, size of lhs = 2:
% 0.18/0.42 P_v_evs3-{F}(V0), P_c_Yahalom_Oyahalom-{F}(V1) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #252: exists( #7, #246 ), references = 1, size of lhs = 1:
% 0.18/0.42 P_v_evs3-{F}(V0) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #254: exists( #6, #251 ), references = 1, size of lhs = 0:
% 0.18/0.42 FALSE | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 number of learnt formulas = 18
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42
% 0.18/0.42 randbase = 1
%------------------------------------------------------------------------------