TSTP Solution File: LCL644+1.015 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL644+1.015 : TPTP v8.1.0. Released v4.0.0.
% 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 06:09:35 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL644+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 22:51:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 GeoParameters:
% 0.12/0.38
% 0.12/0.38 tptp_input = 1
% 0.12/0.38 tptp_output = 0
% 0.12/0.38 nonempty = 1
% 0.12/0.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 RuleSystem INPUT:
% 0.12/0.38
% 0.12/0.38 Initial Rules:
% 0.12/0.38 #0: input, references = 4, size of lhs = 0:
% 0.12/0.38 FALSE | EXISTS V0: pppp168-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #1: input, references = 4, size of lhs = 1:
% 0.12/0.38 pppp168-{F}(V0) | pppp167-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #2: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V0,V2), p1-{F}(V2) | pppp169-{T}(V1), p1-{T}(V1), p2-{T}(V2), pppp170-{T}(V2), pppp171-{T}(V0), pppp172-{T}(V0), pppp173-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #3: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp169-{F}(V0) | EXISTS V1: pppp156-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #4: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp170-{F}(V0) | EXISTS V1: pppp157-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #5: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp171-{F}(V0) | EXISTS V1: pppp160-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #6: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp172-{F}(V0) | EXISTS V1: pppp164-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #7: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp173-{F}(V0) | EXISTS V1: pppp166-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #8: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), r1-{F}(V0,V2), p2-{F}(V2) | pppp174-{T}(V1), p2-{T}(V1), p3-{T}(V2), pppp175-{T}(V2), pppp176-{T}(V0), pppp177-{T}(V0), pppp178-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #9: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp174-{F}(V0) | EXISTS V1: pppp145-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #10: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp175-{F}(V0) | EXISTS V1: pppp146-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #11: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp176-{F}(V0) | EXISTS V1: pppp149-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #12: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp177-{F}(V0) | EXISTS V1: pppp153-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #13: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp178-{F}(V0) | EXISTS V1: pppp155-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #14: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), r1-{F}(V0,V2), p3-{F}(V2) | pppp179-{T}(V1), p3-{T}(V1), p4-{T}(V2), pppp180-{T}(V2), pppp181-{T}(V0), pppp182-{T}(V0), pppp183-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #15: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp179-{F}(V0) | EXISTS V1: pppp134-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #16: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp180-{F}(V0) | EXISTS V1: pppp135-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #17: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp181-{F}(V0) | EXISTS V1: pppp138-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #18: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp182-{F}(V0) | EXISTS V1: pppp142-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #19: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp183-{F}(V0) | EXISTS V1: pppp144-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #20: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), r1-{F}(V0,V2), p4-{F}(V2) | pppp184-{T}(V1), p4-{T}(V1), p5-{T}(V2), pppp185-{T}(V2), pppp186-{T}(V0), pppp187-{T}(V0), pppp188-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #21: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp184-{F}(V0) | EXISTS V1: pppp123-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #22: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp185-{F}(V0) | EXISTS V1: pppp124-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #23: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp186-{F}(V0) | EXISTS V1: pppp127-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #24: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp187-{F}(V0) | EXISTS V1: pppp131-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #25: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp188-{F}(V0) | EXISTS V1: pppp133-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #26: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), r1-{F}(V0,V2), p5-{F}(V2) | pppp189-{T}(V1), p5-{T}(V1), p6-{T}(V2), pppp190-{T}(V2), pppp191-{T}(V0), pppp192-{T}(V0), pppp193-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #27: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp189-{F}(V0) | EXISTS V1: pppp112-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #28: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp190-{F}(V0) | EXISTS V1: pppp113-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #29: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp191-{F}(V0) | EXISTS V1: pppp116-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #30: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp192-{F}(V0) | EXISTS V1: pppp120-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #31: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp193-{F}(V0) | EXISTS V1: pppp122-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #32: input, references = 4, size of lhs = 1:
% 0.12/0.38 pppp167-{F}(V0) | EXISTS V1: pppp111-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #33: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp167-{F}(V0) | EXISTS V1: pppp110-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #34: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p7-{F}(V1), r1-{F}(V0,V2), p6-{F}(V2) | pppp194-{T}(V1), p6-{T}(V1), p7-{T}(V2), pppp195-{T}(V2), pppp196-{T}(V0), pppp197-{T}(V0), pppp198-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #35: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp194-{F}(V0) | EXISTS V1: pppp99-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #36: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp195-{F}(V0) | EXISTS V1: pppp100-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #37: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp196-{F}(V0) | EXISTS V1: pppp103-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #38: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp197-{F}(V0) | EXISTS V1: pppp107-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #39: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp198-{F}(V0) | EXISTS V1: pppp109-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #40: input, references = 3, size of lhs = 5:
% 0.12/0.38 pppp167-{F}(V0), r1-{F}(V0,V1), p8-{F}(V1), r1-{F}(V0,V2), p7-{F}(V2) | pppp199-{T}(V1), p7-{T}(V1), p8-{T}(V2), pppp200-{T}(V2), pppp201-{T}(V0), pppp202-{T}(V0), pppp203-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #41: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp199-{F}(V0) | EXISTS V1: pppp88-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #42: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp200-{F}(V0) | EXISTS V1: pppp89-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #43: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp201-{F}(V0) | EXISTS V1: pppp92-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #44: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp202-{F}(V0) | EXISTS V1: pppp96-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #45: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp203-{F}(V0) | EXISTS V1: pppp98-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #46: input, references = 3, size of lhs = 5:
% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p9-{F}(V1), r1-{F}(V0,V2), p8-{F}(V2) | pppp204-{T}(V1), p8-{T}(V1), p9-{T}(V2), pppp205-{T}(V2), pppp206-{T}(V0), pppp207-{T}(V0), pppp208-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #47: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp204-{F}(V0) | EXISTS V1: pppp77-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #48: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp205-{F}(V0) | EXISTS V1: pppp78-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #49: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp206-{F}(V0) | EXISTS V1: pppp81-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #50: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp207-{F}(V0) | EXISTS V1: pppp85-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #51: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp208-{F}(V0) | EXISTS V1: pppp87-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #52: input, references = 3, size of lhs = 5:
% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p10-{F}(V1), r1-{F}(V0,V2), p9-{F}(V2) | pppp209-{T}(V1), p9-{T}(V1), p10-{T}(V2), pppp210-{T}(V2), pppp211-{T}(V0), pppp212-{T}(V0), pppp213-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #53: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp209-{F}(V0) | EXISTS V1: pppp66-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #54: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp210-{F}(V0) | EXISTS V1: pppp67-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #55: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp211-{F}(V0) | EXISTS V1: pppp70-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #56: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp212-{F}(V0) | EXISTS V1: pppp74-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #57: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp213-{F}(V0) | EXISTS V1: pppp76-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #58: input, references = 3, size of lhs = 5:
% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p11-{F}(V1), r1-{F}(V0,V2), p10-{F}(V2) | pppp214-{T}(V1), p10-{T}(V1), p11-{T}(V2), pppp215-{T}(V2), pppp216-{T}(V0), pppp217-{T}(V0), pppp218-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #59: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp214-{F}(V0) | EXISTS V1: pppp55-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #60: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp215-{F}(V0) | EXISTS V1: pppp56-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #61: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp216-{F}(V0) | EXISTS V1: pppp59-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #62: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp217-{F}(V0) | EXISTS V1: pppp63-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #63: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp218-{F}(V0) | EXISTS V1: pppp65-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #64: input, references = 3, size of lhs = 5:
% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p12-{F}(V1), r1-{F}(V0,V2), p11-{F}(V2) | pppp219-{T}(V1), p11-{T}(V1), p12-{T}(V2), pppp220-{T}(V2), pppp221-{T}(V0), pppp222-{T}(V0), pppp223-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #65: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp219-{F}(V0) | EXISTS V1: pppp44-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #66: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp220-{F}(V0) | EXISTS V1: pppp45-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #67: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp221-{F}(V0) | EXISTS V1: pppp48-{T}(V0,V1)
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% 0.12/0.39
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% 0.12/0.39 pppp222-{F}(V0) | EXISTS V1: pppp52-{T}(V0,V1)
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% 0.12/0.39 pppp223-{F}(V0) | EXISTS V1: pppp54-{T}(V0,V1)
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% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p13-{F}(V1), r1-{F}(V0,V2), p12-{F}(V2) | pppp224-{T}(V1), p12-{T}(V1), p13-{T}(V2), pppp225-{T}(V2), pppp226-{T}(V0), pppp227-{T}(V0), pppp228-{T}(V0)
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% 0.12/0.39 pppp224-{F}(V0) | EXISTS V1: pppp33-{T}(V1,V0)
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% 0.12/0.39 pppp225-{F}(V0) | EXISTS V1: pppp34-{T}(V1,V0)
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% 0.12/0.39 pppp226-{F}(V0) | EXISTS V1: pppp37-{T}(V0,V1)
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% 0.12/0.39 pppp227-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
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% 0.12/0.39 pppp228-{F}(V0) | EXISTS V1: pppp43-{T}(V0,V1)
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% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p14-{F}(V1), r1-{F}(V0,V2), p13-{F}(V2) | pppp229-{T}(V1), p13-{T}(V1), p14-{T}(V2), pppp230-{T}(V2), pppp231-{T}(V0), pppp232-{T}(V0), pppp233-{T}(V0)
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% 0.12/0.39 pppp229-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
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% 0.12/0.39 pppp230-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
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% 0.12/0.39 pppp231-{F}(V0) | EXISTS V1: pppp26-{T}(V0,V1)
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% 0.12/0.39 pppp232-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
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% 0.12/0.39 pppp233-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
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% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p15-{F}(V1), r1-{F}(V0,V2), p14-{F}(V2) | pppp234-{T}(V1), p14-{T}(V1), p15-{T}(V2), pppp235-{T}(V2), pppp236-{T}(V0), pppp237-{T}(V0), pppp238-{T}(V0)
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% 0.12/0.39 pppp234-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
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% 0.12/0.39 pppp235-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
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% 0.12/0.39 pppp236-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
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% 0.12/0.39 pppp237-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
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% 0.12/0.39 pppp238-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
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% 0.12/0.39 pppp167-{F}(V0), r1-{F}(V0,V1), p16-{F}(V1), r1-{F}(V0,V2), p15-{F}(V2) | pppp239-{T}(V1), p15-{T}(V1), p16-{T}(V2), pppp240-{T}(V2), pppp241-{T}(V0), pppp242-{T}(V0), pppp243-{T}(V0)
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% 0.12/0.39 pppp239-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
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% 0.12/0.39 pppp240-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
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% 0.12/0.39 pppp241-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
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% 0.12/0.39 pppp242-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
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% 0.12/0.39 pppp243-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
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% 0.12/0.39 pppp166-{F}(V0,V1) | pppp165-{T}(V0,V1)
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% 0.12/0.39 pppp165-{F}(V0,V1) | p1-{T}(V1)
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% 0.12/0.39 pppp165-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
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% 0.12/0.39 pppp165-{F}(V0,V1) | p1-{T}(V1)
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% 0.12/0.39 #98: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp165-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.12/0.39 pppp165-{F}(V0,V1), p1-{F}(V1) | FALSE
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% 0.12/0.39 pppp165-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.12/0.39 pppp165-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.39 pppp165-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.39 pppp164-{F}(V0,V1) | pppp163-{T}(V0,V1)
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% 0.12/0.39 pppp163-{F}(V0,V1) | EXISTS V2: pppp162-{T}(V1,V2)
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% 0.12/0.39 pppp163-{F}(V0,V1), p1-{F}(V1) | FALSE
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% 0.12/0.39 pppp163-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.12/0.39 pppp163-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.39 pppp163-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.39 pppp162-{F}(V0,V1) | pppp161-{T}(V1,V0)
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% 0.12/0.39 pppp161-{F}(V0,V1) | p1-{T}(V0)
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% 0.12/0.39 pppp161-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
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% 0.12/0.39 pppp161-{F}(V0,V1) | p1-{T}(V0)
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% 0.12/0.39 #113: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp161-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.12/0.39 pppp161-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.39 pppp160-{F}(V0,V1) | pppp159-{T}(V0,V1)
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% 0.12/0.39 pppp159-{F}(V0,V1) | p1-{T}(V1)
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% 0.12/0.39 pppp159-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
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% 0.12/0.39 pppp159-{F}(V0,V1) | p1-{T}(V1)
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% 0.12/0.39 pppp159-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.12/0.39 pppp159-{F}(V0,V1) | EXISTS V2: pppp158-{T}(V2,V1)
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% 0.12/0.39 pppp159-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.39 pppp158-{F}(V0,V1), p1-{F}(V0) | FALSE
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% 0.12/0.39 pppp158-{F}(V0,V1), r1-{F}(V0,V2) | p2-{T}(V2)
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% 0.12/0.39 pppp157-{F}(V0,V1), p1-{F}(V0) | FALSE
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% 0.12/0.39 pppp156-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.12/0.39 pppp155-{F}(V0,V1) | pppp154-{T}(V0,V1)
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% 0.12/0.39 pppp154-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.39 pppp154-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.12/0.39 pppp154-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.12/0.39 pppp154-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.12/0.39 pppp152-{F}(V0,V1) | EXISTS V2: pppp151-{T}(V1,V2)
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% 0.12/0.39 pppp152-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.12/0.39 pppp152-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.12/0.39 pppp150-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.12/0.39 pppp150-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.39 pppp93-{F}(V0,V1), p8-{F}(V0) | FALSE
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% 0.12/0.39 pppp91-{F}(V0,V1) | EXISTS V2: pppp90-{T}(V2,V1)
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% 0.12/0.39 pppp66-{F}(V0,V1), p10-{F}(V0) | FALSE
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% 0.12/0.39 pppp58-{F}(V0,V1) | EXISTS V2: pppp57-{T}(V2,V1)
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% 0.12/0.39 pppp40-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.39 pppp39-{F}(V0,V1) | pppp38-{T}(V1,V0)
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% 0.12/0.39 pppp38-{F}(V0,V1) | p12-{T}(V0)
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% 0.12/0.39 pppp38-{F}(V0,V1), r1-{F}(V0,V2) | p12-{T}(V2)
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% 0.12/0.39 pppp38-{F}(V0,V1) | p12-{T}(V0)
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% 0.12/0.39 #517: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp38-{F}(V0,V1), p13-{F}(V0) | FALSE
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% 0.12/0.39 pppp38-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.39 pppp37-{F}(V0,V1) | pppp36-{T}(V0,V1)
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% 0.12/0.39 pppp36-{F}(V0,V1) | p12-{T}(V1)
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% 0.12/0.39 pppp36-{F}(V0,V1), r1-{F}(V1,V2) | p12-{T}(V2)
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% 0.12/0.39 pppp36-{F}(V0,V1) | p12-{T}(V1)
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% 0.12/0.39 pppp36-{F}(V0,V1), p13-{F}(V1) | FALSE
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% 0.12/0.39 pppp36-{F}(V0,V1) | EXISTS V2: pppp35-{T}(V2,V1)
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% 0.12/0.39 pppp35-{F}(V0,V1), p12-{F}(V0) | FALSE
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% 0.12/0.39 pppp35-{F}(V0,V1), r1-{F}(V0,V2) | p13-{T}(V2)
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% 0.12/0.39 pppp34-{F}(V0,V1), p12-{F}(V0) | FALSE
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% 0.12/0.39 pppp33-{F}(V0,V1), p13-{F}(V0) | FALSE
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% 0.12/0.39 pppp31-{F}(V0,V1), p14-{F}(V1) | FALSE
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% 0.12/0.39 pppp31-{F}(V0,V1), p13-{F}(V1) | FALSE
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% 0.12/0.39 pppp31-{F}(V0,V1), r1-{F}(V1,V2) | p14-{T}(V2)
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% 0.12/0.39 pppp29-{F}(V0,V1) | EXISTS V2: pppp28-{T}(V1,V2)
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% 0.12/0.39 pppp27-{F}(V0,V1), p14-{F}(V0) | FALSE
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% 0.12/0.39 pppp25-{F}(V0,V1), p14-{F}(V1) | FALSE
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% 0.12/0.39 pppp25-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V2,V1)
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% 0.12/0.39 pppp23-{F}(V0,V1), p13-{F}(V0) | FALSE
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% 0.12/0.39 #601: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #602: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp12-{F}(V0,V1), p14-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #603: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #604: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp11-{F}(V0,V1), p15-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #605: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #606: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp10-{F}(V0,V1) | pppp9-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #607: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp9-{F}(V0,V1) | p15-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #608: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp9-{F}(V0,V1), r1-{F}(V1,V2) | p15-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #609: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp9-{F}(V0,V1) | p15-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #610: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp9-{F}(V0,V1), p16-{F}(V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #611: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp9-{F}(V0,V1), p15-{F}(V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #612: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp9-{F}(V0,V1), r1-{F}(V1,V2) | p16-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #613: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp9-{F}(V0,V1) | p16-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #614: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #615: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #616: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #617: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp7-{F}(V0,V1), p15-{F}(V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #618: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp7-{F}(V0,V1), r1-{F}(V1,V2) | p16-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #619: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp7-{F}(V0,V1) | p16-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #620: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #621: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp6-{F}(V0,V1) | pppp5-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #622: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp5-{F}(V0,V1) | p15-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #623: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp5-{F}(V0,V1), r1-{F}(V0,V2) | p15-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #624: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp5-{F}(V0,V1) | p15-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #625: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp5-{F}(V0,V1), p16-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #626: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #627: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp4-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #628: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp3-{F}(V0,V1) | p15-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #629: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp3-{F}(V0,V1), r1-{F}(V1,V2) | p15-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #630: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp3-{F}(V0,V1) | p15-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #631: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp3-{F}(V0,V1), p16-{F}(V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #632: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #633: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #634: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp2-{F}(V0,V1), p15-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #635: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp2-{F}(V0,V1), r1-{F}(V0,V2) | p16-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #636: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp2-{F}(V0,V1) | p16-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #637: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #638: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp1-{F}(V0,V1), p15-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #639: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #640: input, references = 3, size of lhs = 2:
% 0.12/0.39 pppp0-{F}(V0,V1), p16-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #641: input, references = 3, size of lhs = 1:
% 0.12/0.39 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of initial rules = 642
% 0.12/0.39
% 0.12/0.39 Simplifiers:
% 0.12/0.39 #642: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 r1-{F}(V0,V1), r1-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #643: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 pppp110-{F}(V0,V1), pppp110-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #644: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 pppp110-{F}(V0,V1), pppp110-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #645: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 pppp111-{F}(V0,V1), pppp111-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #646: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 pppp111-{F}(V0,V1), pppp111-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #647: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 pppp167-{F}(V0), pppp167-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #648: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 pppp168-{F}(V0), pppp168-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of simplifiers = 7
% 0.12/0.39
% 0.12/0.39 Learnt:
% 0.12/0.39 #651: exists( #32, #649 ), references = 1, size of lhs = 1:
% 0.12/0.39 pppp167-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #654: exists( #0, #652 ), references = 1, size of lhs = 0:
% 0.12/0.39 FALSE | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of learnt formulas = 2
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 randbase = 1
%------------------------------------------------------------------------------