TSTP Solution File: SWV307-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:21:23 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
% 0.06/0.12 % Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 16:06:40 EDT 2022
% 0.12/0.33 % 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/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation for /export/starexec/sandbox/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 = 5, size of lhs = 6:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V1,V3,V4) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #1: input, references = 5, size of lhs = 17:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Omsg_OMPair-{F}(V7,V11,V12), P_c_Message_Omsg_OCrypt-{F}(V6,V12,V13), P_c_Message_Oagent_OSpy-{F}(V14), P_c_Event_Oknows-{F}(V14,V2,V15), P_c_Message_Oparts-{F}(V15,V16) | c_in-{T}(V13,V16,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #2: input, references = 4, size of lhs = 18:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Omsg_OMPair-{F}(V7,V11,V12), P_c_Message_Omsg_OCrypt-{F}(V6,V12,V13), P_c_Message_Oagent_OSpy-{F}(V14), P_c_Event_Oknows-{F}(V14,V2,V15), P_c_Message_Oparts-{F}(V15,V16), V7 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #3: input, references = 5, size of lhs = 21:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Omsg_OMPair-{F}(V7,V11,V12), P_c_Message_Omsg_OCrypt-{F}(V6,V12,V13), P_c_Message_Oagent_OSpy-{F}(V14), P_c_Event_Oknows-{F}(V14,V2,V15), P_c_Message_Oparts-{F}(V15,V16), P_c_Event_Oknows-{F}(V14,V18,V19), P_c_Message_Oparts-{F}(V19,V20), P_c_Event_Oused-{F}(V18,V21), c_in-{F}(V17,V20,V4) | c_in-{T}(V17,V21,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #4: input, references = 5, size of lhs = 20:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Omsg_OMPair-{F}(V7,V11,V12), P_c_Message_Omsg_OCrypt-{F}(V6,V12,V13), P_c_Message_Oagent_OSpy-{F}(V14), P_c_Event_Oknows-{F}(V14,V2,V15), P_c_Message_Oparts-{F}(V15,V16), P_c_Message_Oparts-{F}(V18,V19), P_c_Message_Omsg_OMPair-{F}(V17,V20,V21), c_in-{F}(V21,V19,V4) | c_in-{T}(V17,V19,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #5: input, references = 4, size of lhs = 20:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Omsg_OMPair-{F}(V7,V11,V12), P_c_Message_Omsg_OCrypt-{F}(V6,V12,V13), P_c_Message_Oagent_OSpy-{F}(V14), P_c_Event_Oknows-{F}(V14,V2,V15), P_c_Message_Oparts-{F}(V15,V16), P_c_Message_Oparts-{F}(V18,V19), P_c_Message_Omsg_OCrypt-{F}(V20,V17,V21), c_in-{F}(V21,V19,V4) | c_in-{T}(V17,V19,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #6: 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 #7: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_NB-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #8: input, references = 5, 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 #9: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_evs2-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #10: 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 #11: input, references = 5, 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 #12: input, references = 5, 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 #13: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_v_A-{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 = 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 #15: 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 #16: input, references = 6, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OAgent-{T}(V0,V1)
% 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_B-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #18: input, references = 6, 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 #19: input, references = 6, 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 #20: 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 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_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 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_NB-{F}(V0), P_v_NB-{F}(V1), V0 == V1 | 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_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 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_evs2-{F}(V0), P_v_evs2-{F}(V1), V0 == V1 | 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_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 #27: 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 #28: 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 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_v_A-{F}(V0), P_v_A-{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_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 #31: 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 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c_Message_Omsg_OAgent-{F}(V0,V1), P_c_Message_Omsg_OAgent-{F}(V0,V3), V1 == V3 | 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_B-{F}(V0), P_v_B-{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_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 #35: 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 #36: 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 number of simplifiers = 16
% 0.18/0.52
% 0.18/0.52 Learnt:
% 0.18/0.52 #38: exists( #11, #2 ), references = 1, size of lhs = 17:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), V7 == V1, P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Omsg_OMPair-{F}(V7,V11,V12), P_c_Message_Oagent_OSpy-{F}(V13), P_c_Event_Oknows-{F}(V13,V2,V14), P_c_Message_Oparts-{F}(V14,V15) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #40: exists( #14, #37 ), references = 1, size of lhs = 16:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), V7 == V1, P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Omsg_OMPair-{F}(V8,V10,V11), P_c_Message_Oagent_OSpy-{F}(V12), P_c_Event_Oknows-{F}(V12,V2,V13), P_c_Message_Oparts-{F}(V13,V14) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #42: exists( #14, #39 ), references = 2, size of lhs = 15:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), V7 == V1, P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Oagent_OSpy-{F}(V11), P_c_Event_Oknows-{F}(V11,V2,V12), P_c_Message_Oparts-{F}(V12,V13) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #46: exists( #18, #42 ), references = 1, size of lhs = 14:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), V7 == V1, P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Oagent_OSpy-{F}(V11), P_c_Event_Oknows-{F}(V11,V2,V12) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #48: exists( #19, #43 ), references = 1, size of lhs = 13:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), V7 == V1, P_c_Message_Omsg_OAgent-{F}(V5,V8), P_v_B-{F}(V9), P_c_Message_Omsg_OAgent-{F}(V9,V10), P_c_Message_Oagent_OSpy-{F}(V11) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #50: exists( #16, #47 ), references = 1, size of lhs = 12:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_c_Public_OshrK-{F}(V5,V6), P_v_NA-{F}(V7), V7 == V1, P_v_B-{F}(V8), P_c_Message_Omsg_OAgent-{F}(V8,V9), P_c_Message_Oagent_OSpy-{F}(V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #52: exists( #12, #49 ), references = 1, size of lhs = 11:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_c_Event_Oused-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_v_A-{F}(V5), P_v_NA-{F}(V6), V6 == V1, P_v_B-{F}(V7), P_c_Message_Omsg_OAgent-{F}(V7,V8), P_c_Message_Oagent_OSpy-{F}(V9) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #54: exists( #8, #51 ), references = 1, size of lhs = 10:
% 0.18/0.52 P_v_NB-{F}(V0), P_c_Message_Omsg_ONonce-{F}(V0,V1), P_v_evs2-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_v_A-{F}(V4), P_v_NA-{F}(V5), V5 == V1, P_v_B-{F}(V6), P_c_Message_Omsg_OAgent-{F}(V6,V7), P_c_Message_Oagent_OSpy-{F}(V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #56: exists( #6, #53 ), references = 1, size of lhs = 8:
% 0.18/0.52 P_v_NB-{F}(V0), P_v_evs2-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_A-{F}(V3), P_v_NA-{F}(V4), P_v_B-{F}(V5), P_c_Message_Omsg_OAgent-{F}(V5,V6), P_c_Message_Oagent_OSpy-{F}(V7) | P_c_Message_Omsg_ONonce-{T}(V0,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #96: mergings( V2 == V16, V3 == V17, V16 == V30, V17 == V31, V30 == V44, V31 == V45, V4 == V18, V5 == V19, V18 == V32, V19 == V33, V32 == V46, V33 == V47, V6 == V20, V7 == V21, V20 == V34, V21 == V35, V8 == V22, V22 == V36, V9 == V23, V23 == V37, V10 == V24, V11 == V25, V12 == V26, V13 == V27, V14 == V28, V24 == V38, V25 == V39, V26 == V40, V27 == V41, V28 == V42, V15 == V29, V29 == V43; #63 ), references = 1, size of lhs = 19:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OMPair-{F}(V2,V6,V7), P_c_Message_Omsg_OCrypt-{F}(V1,V7,V8), P_c_Message_Oagent_OSpy-{F}(V9), P_v_NB-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_evs2-{F}(V12), P_c_Event_Oknows-{F}(V9,V12,V13), P_c_Event_Oused-{F}(V12,V14), P_c_Event_Oused-{F}(V15,V14), P_c_Event_Oknows-{F}(V9,V15,V13), P_tc_Message_Omsg-{F}(V16), P_c_Message_Omsg_OMPair-{F}(V11,V17,V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #126: mergings( V3 == V15, V4 == V16, V15 == V27, V16 == V28, V27 == V39, V28 == V40, V5 == V17, V17 == V29, V29 == V42, V1 == V41, V6 == V18, V7 == V19, V18 == V30, V19 == V31, V8 == V20, V20 == V32, V9 == V21, V21 == V33, V10 == V22, V11 == V23, V12 == V24, V13 == V25, V14 == V26, V22 == V34, V23 == V35, V24 == V36, V25 == V37, V26 == V38; #97 ), references = 1, size of lhs = 16:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OMPair-{F}(V2,V6,V7), P_c_Message_Omsg_OCrypt-{F}(V1,V7,V8), P_c_Message_Oagent_OSpy-{F}(V9), P_v_NB-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_evs2-{F}(V12), P_c_Event_Oused-{F}(V12,V13), P_tc_Message_Omsg-{F}(V14), P_c_Message_Omsg_OMPair-{F}(V11,V15,V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #179: mergings( V3 == V16, V4 == V17, V16 == V29, V17 == V30, V29 == V42, V30 == V43, V42 == V55, V43 == V56, V5 == V18, V6 == V19, V18 == V31, V19 == V32, V31 == V44, V32 == V45, V44 == V57, V45 == V58, V7 == V20, V20 == V33, V33 == V46, V8 == V21, V21 == V34, V34 == V47, V9 == V22, V22 == V35, V35 == V48, V10 == V23, V11 == V24, V12 == V25, V23 == V36, V24 == V37, V25 == V38, V36 == V49, V37 == V50, V38 == V51, V13 == V26, V14 == V27, V15 == V28, V26 == V39, V27 == V40, V28 == V41, V39 == V52, V40 == V53, V41 == V54; #135 ), references = 1, size of lhs = 22:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Omsg_OMPair-{F}(V2,V6,V7), P_c_Message_Oagent_OSpy-{F}(V8), P_v_NB-{F}(V9), P_c_Message_Omsg_ONonce-{F}(V9,V10), P_v_evs2-{F}(V11), P_c_Event_Oknows-{F}(V8,V11,V12), P_c_Message_Oparts-{F}(V12,V13), P_c_Event_Oused-{F}(V11,V14), P_c_Event_Oused-{F}(V15,V14), P_c_Event_Oknows-{F}(V8,V15,V16), P_c_Message_Oparts-{F}(V16,V13), P_c_Message_Oparts-{F}(V17,V13), P_c_Message_Oparts-{F}(V18,V13), P_tc_Message_Omsg-{F}(V19), P_c_Message_Omsg_OMPair-{F}(V10,V20,V7) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #218: mergings( V3 == V15, V4 == V16, V15 == V26, V16 == V27, V26 == V37, V27 == V38, V37 == V48, V38 == V0, V5 == V17, V6 == V18, V17 == V28, V18 == V29, V28 == V39, V29 == V40, V39 == V49, V40 == V50, V7 == V19, V19 == V30, V30 == V41, V9 == V20, V20 == V31, V31 == V42, V10 == V21, V11 == V22, V21 == V32, V22 == V33, V32 == V43, V33 == V44, V12 == V23, V13 == V24, V14 == V25, V23 == V34, V24 == V35, V25 == V36, V34 == V45, V35 == V46, V36 == V47; #180 ), references = 2, size of lhs = 20:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V2), P_v_evs2-{F}(V9), P_c_Event_Oknows-{F}(V7,V9,V10), P_c_Message_Oparts-{F}(V10,V11), P_c_Event_Oused-{F}(V9,V12), P_c_Event_Oused-{F}(V13,V12), P_c_Event_Oknows-{F}(V7,V13,V14), P_c_Message_Oparts-{F}(V14,V11), P_c_Message_Oparts-{F}(V15,V11), P_c_Message_Oparts-{F}(V16,V11), P_tc_Message_Omsg-{F}(V17) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #220: exists( #18, #218 ), references = 1, size of lhs = 16:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V2), P_v_evs2-{F}(V9), P_c_Event_Oknows-{F}(V7,V9,V10), P_c_Event_Oused-{F}(V9,V11), P_c_Event_Oused-{F}(V12,V11), P_c_Event_Oknows-{F}(V7,V12,V10), P_tc_Message_Omsg-{F}(V13) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #222: exists( #19, #219 ), references = 1, size of lhs = 13:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Omsg_OMPair-{F}(V3,V5,V6), P_c_Message_Oagent_OSpy-{F}(V7), P_v_NB-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V8,V2), P_v_evs2-{F}(V9), P_c_Event_Oused-{F}(V9,V10), P_tc_Message_Omsg-{F}(V11) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #224: exists( #14, #221 ), references = 1, size of lhs = 12:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V0,V3), P_v_B-{F}(V4), P_c_Message_Omsg_OAgent-{F}(V4,V5), P_c_Message_Oagent_OSpy-{F}(V6), P_v_NB-{F}(V7), P_c_Message_Omsg_ONonce-{F}(V7,V2), P_v_evs2-{F}(V8), P_c_Event_Oused-{F}(V8,V9), P_tc_Message_Omsg-{F}(V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #226: exists( #16, #223 ), references = 1, size of lhs = 11:
% 0.18/0.52 P_v_A-{F}(V0), P_c_Public_OshrK-{F}(V0,V1), P_v_NA-{F}(V2), P_v_B-{F}(V3), P_c_Message_Omsg_OAgent-{F}(V3,V4), P_c_Message_Oagent_OSpy-{F}(V5), P_v_NB-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V6,V2), P_v_evs2-{F}(V7), P_c_Event_Oused-{F}(V7,V8), P_tc_Message_Omsg-{F}(V9) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #228: exists( #12, #225 ), references = 1, size of lhs = 10:
% 0.18/0.52 P_v_A-{F}(V0), P_v_NA-{F}(V1), P_v_B-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_NB-{F}(V5), P_c_Message_Omsg_ONonce-{F}(V5,V1), P_v_evs2-{F}(V6), P_c_Event_Oused-{F}(V6,V7), P_tc_Message_Omsg-{F}(V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #230: exists( #8, #227 ), references = 1, size of lhs = 9:
% 0.18/0.52 P_v_A-{F}(V0), P_v_NA-{F}(V1), P_v_B-{F}(V2), P_c_Message_Omsg_OAgent-{F}(V2,V3), P_c_Message_Oagent_OSpy-{F}(V4), P_v_NB-{F}(V5), P_c_Message_Omsg_ONonce-{F}(V5,V1), P_v_evs2-{F}(V6), P_tc_Message_Omsg-{F}(V7) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #237: mergings( V2 == V10, V3 == V11, V4 == V6, V5 == V8; #232 ), references = 1, size of lhs = 7:
% 0.18/0.52 P_v_A-{F}(V0), P_v_NA-{F}(V1), P_v_B-{F}(V2), P_c_Message_Oagent_OSpy-{F}(V3), P_v_NB-{F}(V4), P_v_evs2-{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 #242: mergings( V1 == V8, V2 == V9, V3 == V4; #238 ), references = 1, size of lhs = 6:
% 0.18/0.52 P_v_A-{F}(V0), P_v_NA-{F}(V1), P_v_B-{F}(V2), P_v_NB-{F}(V3), P_v_evs2-{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 #247: mergings( V1 == V7, V2 == V8, V3 == V4; #243 ), references = 1, size of lhs = 5:
% 0.18/0.52 P_v_A-{F}(V0), P_v_NA-{F}(V1), P_v_NB-{F}(V2), P_v_evs2-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #252: mergings( V1 == V6, V2 == V7, V3 == V4; #248 ), references = 1, size of lhs = 4:
% 0.18/0.52 P_v_A-{F}(V0), P_v_NB-{F}(V1), P_v_evs2-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #256: mergings( V1 == V4, V2 == V5; #253 ), references = 1, size of lhs = 3:
% 0.18/0.52 P_v_NB-{F}(V0), P_v_evs2-{F}(V1), P_tc_Message_Omsg-{F}(V2) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #259: mergings( V1 == V3; #257 ), references = 1, size of lhs = 2:
% 0.18/0.52 P_v_NB-{F}(V0), P_v_evs2-{F}(V1) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #261: exists( #9, #257 ), references = 1, size of lhs = 1:
% 0.18/0.52 P_v_NB-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #263: exists( #7, #260 ), 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 = 27
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 randbase = 1
%------------------------------------------------------------------------------