%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:34 PM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.36 % Computer : n027.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 13:09:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.42 GeoParameters:
% 0.14/0.42
% 0.14/0.42 tptp_input = 1
% 0.14/0.42 tptp_output = 0
% 0.14/0.42 nonempty = 1
% 0.14/0.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.14/0.42
% 0.14/0.42
% 0.14/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 RuleSystem INPUT:
% 0.14/0.42
% 0.14/0.42 Initial Rules:
% 0.14/0.42 #0: input, references = 4, size of lhs = 0:
% 0.14/0.42 FALSE | EXISTS V0: pppp113-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #1: input, references = 4, size of lhs = 1:
% 0.14/0.42 pppp113-{F}(V0) | pppp112-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #2: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V0,V2), p1-{F}(V2) | pppp114-{T}(V1), p1-{T}(V1), p2-{T}(V2), pppp115-{T}(V2), pppp116-{T}(V0), pppp117-{T}(V0), pppp118-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #3: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp114-{F}(V0) | EXISTS V1: pppp101-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #4: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp115-{F}(V0) | EXISTS V1: pppp102-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #5: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp116-{F}(V0) | EXISTS V1: pppp105-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #6: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp117-{F}(V0) | EXISTS V1: pppp109-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #7: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp118-{F}(V0) | EXISTS V1: pppp111-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #8: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), r1-{F}(V0,V2), p2-{F}(V2) | pppp119-{T}(V1), p2-{T}(V1), p3-{T}(V2), pppp120-{T}(V2), pppp121-{T}(V0), pppp122-{T}(V0), pppp123-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #9: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp119-{F}(V0) | EXISTS V1: pppp90-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #10: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp120-{F}(V0) | EXISTS V1: pppp91-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #11: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp121-{F}(V0) | EXISTS V1: pppp94-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #12: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp122-{F}(V0) | EXISTS V1: pppp98-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #13: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp123-{F}(V0) | EXISTS V1: pppp100-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #14: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), r1-{F}(V0,V2), p3-{F}(V2) | pppp124-{T}(V1), p3-{T}(V1), p4-{T}(V2), pppp125-{T}(V2), pppp126-{T}(V0), pppp127-{T}(V0), pppp128-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #15: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp124-{F}(V0) | EXISTS V1: pppp79-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #16: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp125-{F}(V0) | EXISTS V1: pppp80-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #17: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp126-{F}(V0) | EXISTS V1: pppp83-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #18: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp127-{F}(V0) | EXISTS V1: pppp87-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #19: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp128-{F}(V0) | EXISTS V1: pppp89-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #20: input, references = 4, size of lhs = 1:
% 0.14/0.42 pppp112-{F}(V0) | EXISTS V1: pppp78-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #21: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp112-{F}(V0) | EXISTS V1: pppp77-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #22: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), r1-{F}(V0,V2), p4-{F}(V2) | pppp129-{T}(V1), p4-{T}(V1), p5-{T}(V2), pppp130-{T}(V2), pppp131-{T}(V0), pppp132-{T}(V0), pppp133-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #23: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp129-{F}(V0) | EXISTS V1: pppp66-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #24: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp130-{F}(V0) | EXISTS V1: pppp67-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #25: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp131-{F}(V0) | EXISTS V1: pppp70-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #26: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp132-{F}(V0) | EXISTS V1: pppp74-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #27: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp133-{F}(V0) | EXISTS V1: pppp76-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #28: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), r1-{F}(V0,V2), p5-{F}(V2) | pppp134-{T}(V1), p5-{T}(V1), p6-{T}(V2), pppp135-{T}(V2), pppp136-{T}(V0), pppp137-{T}(V0), pppp138-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #29: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp134-{F}(V0) | EXISTS V1: pppp55-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #30: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp135-{F}(V0) | EXISTS V1: pppp56-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #31: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp136-{F}(V0) | EXISTS V1: pppp59-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #32: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp137-{F}(V0) | EXISTS V1: pppp63-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #33: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp138-{F}(V0) | EXISTS V1: pppp65-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #34: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p7-{F}(V1), r1-{F}(V0,V2), p6-{F}(V2) | pppp139-{T}(V1), p6-{T}(V1), p7-{T}(V2), pppp140-{T}(V2), pppp141-{T}(V0), pppp142-{T}(V0), pppp143-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #35: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp139-{F}(V0) | EXISTS V1: pppp44-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #36: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp140-{F}(V0) | EXISTS V1: pppp45-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #37: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp141-{F}(V0) | EXISTS V1: pppp48-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #38: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp142-{F}(V0) | EXISTS V1: pppp52-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #39: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp143-{F}(V0) | EXISTS V1: pppp54-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #40: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p8-{F}(V1), r1-{F}(V0,V2), p7-{F}(V2) | pppp144-{T}(V1), p7-{T}(V1), p8-{T}(V2), pppp145-{T}(V2), pppp146-{T}(V0), pppp147-{T}(V0), pppp148-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #41: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp144-{F}(V0) | EXISTS V1: pppp33-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #42: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp145-{F}(V0) | EXISTS V1: pppp34-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #43: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp146-{F}(V0) | EXISTS V1: pppp37-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #44: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp147-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #45: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp148-{F}(V0) | EXISTS V1: pppp43-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #46: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p9-{F}(V1), r1-{F}(V0,V2), p8-{F}(V2) | pppp149-{T}(V1), p8-{T}(V1), p9-{T}(V2), pppp150-{T}(V2), pppp151-{T}(V0), pppp152-{T}(V0), pppp153-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #47: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp149-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #48: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp150-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #49: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp151-{F}(V0) | EXISTS V1: pppp26-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #50: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp152-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #51: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp153-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #52: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p10-{F}(V1), r1-{F}(V0,V2), p9-{F}(V2) | pppp154-{T}(V1), p9-{T}(V1), p10-{T}(V2), pppp155-{T}(V2), pppp156-{T}(V0), pppp157-{T}(V0), pppp158-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #53: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp154-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #54: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp155-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #55: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp156-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #56: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp157-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #57: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp158-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #58: input, references = 3, size of lhs = 5:
% 0.14/0.42 pppp112-{F}(V0), r1-{F}(V0,V1), p11-{F}(V1), r1-{F}(V0,V2), p10-{F}(V2) | pppp159-{T}(V1), p10-{T}(V1), p11-{T}(V2), pppp160-{T}(V2), pppp161-{T}(V0), pppp162-{T}(V0), pppp163-{T}(V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #59: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp159-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #60: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp160-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #61: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp161-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #62: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp162-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #63: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp163-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #64: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp111-{F}(V0,V1) | pppp110-{T}(V0,V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #65: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp110-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #66: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp110-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #67: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp110-{F}(V0,V1) | p1-{T}(V1)
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #68: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp110-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.14/0.42 (used 0 times, uses = {})
% 0.14/0.42
% 0.14/0.42 #69: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp110-{F}(V0,V1), p1-{F}(V1) | FALSE
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% 0.14/0.42 #70: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp110-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.14/0.42 pppp110-{F}(V0,V1) | p2-{T}(V1)
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% 0.14/0.42 #72: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp110-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.42 #73: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp109-{F}(V0,V1) | pppp108-{T}(V0,V1)
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% 0.14/0.42 #74: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp108-{F}(V0,V1) | EXISTS V2: pppp107-{T}(V1,V2)
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% 0.14/0.42 #75: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp108-{F}(V0,V1), p1-{F}(V1) | FALSE
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% 0.14/0.42 pppp108-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.14/0.42 pppp108-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.42 #79: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp107-{F}(V0,V1) | pppp106-{T}(V1,V0)
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% 0.14/0.42 pppp106-{F}(V0,V1) | p1-{T}(V0)
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% 0.14/0.42 pppp106-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
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% 0.14/0.42 pppp106-{F}(V0,V1) | p1-{T}(V0)
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% 0.14/0.42 #83: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp106-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.14/0.42 pppp106-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 #85: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp105-{F}(V0,V1) | pppp104-{T}(V0,V1)
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% 0.14/0.42 pppp104-{F}(V0,V1) | p1-{T}(V1)
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% 0.14/0.42 pppp104-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
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% 0.14/0.42 pppp104-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.14/0.42 #90: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp104-{F}(V0,V1) | EXISTS V2: pppp103-{T}(V2,V1)
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% 0.14/0.42 pppp103-{F}(V0,V1), p1-{F}(V0) | FALSE
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% 0.14/0.42 pppp103-{F}(V0,V1), r1-{F}(V0,V2) | p2-{T}(V2)
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% 0.14/0.42 pppp103-{F}(V0,V1) | p2-{T}(V0)
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% 0.14/0.42 pppp103-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 #96: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp102-{F}(V0,V1), p1-{F}(V0) | FALSE
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% 0.14/0.42 #97: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp102-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 #98: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp101-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.14/0.42 #99: input, references = 3, size of lhs = 1:
% 0.14/0.42 pppp101-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 pppp100-{F}(V0,V1) | pppp99-{T}(V0,V1)
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% 0.14/0.42 pppp99-{F}(V0,V1) | p2-{T}(V1)
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% 0.14/0.42 pppp99-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.14/0.42 pppp99-{F}(V0,V1) | p2-{T}(V1)
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% 0.14/0.42 pppp99-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.14/0.42 pppp99-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.14/0.42 pppp99-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.14/0.42 pppp98-{F}(V0,V1) | pppp97-{T}(V0,V1)
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% 0.14/0.42 pppp97-{F}(V0,V1) | EXISTS V2: pppp96-{T}(V1,V2)
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% 0.14/0.42 #111: input, references = 3, size of lhs = 2:
% 0.14/0.42 pppp97-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.14/0.42 pppp97-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.14/0.42 pppp96-{F}(V0,V1) | pppp95-{T}(V1,V0)
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% 0.14/0.42 pppp95-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.14/0.42 pppp93-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.14/0.42 pppp93-{F}(V0,V1) | EXISTS V2: pppp92-{T}(V2,V1)
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% 0.14/0.42 pppp91-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.14/0.42 pppp90-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.14/0.42 pppp88-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.14/0.42 pppp82-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.14/0.42 pppp82-{F}(V0,V1) | p3-{T}(V1)
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% 0.14/0.42 pppp82-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.14/0.42 pppp82-{F}(V0,V1) | EXISTS V2: pppp81-{T}(V2,V1)
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% 0.14/0.42 pppp82-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.42 pppp81-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.14/0.42 pppp81-{F}(V0,V1), r1-{F}(V0,V2) | p4-{T}(V2)
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% 0.14/0.42 pppp81-{F}(V0,V1) | p4-{T}(V0)
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% 0.14/0.42 pppp81-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 pppp80-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.14/0.42 pppp80-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 pppp79-{F}(V0,V1), p4-{F}(V0) | FALSE
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% 0.14/0.42 pppp79-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.42 pppp78-{F}(V0,V1) | p10-{T}(V1)
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% 0.14/0.42 pppp78-{F}(V0,V1), r1-{F}(V1,V2) | p10-{T}(V2)
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% 0.14/0.42 pppp78-{F}(V0,V1), p10-{F}(V1) | FALSE
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% 0.14/0.42 pppp78-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.42 pppp77-{F}(V0,V1) | p10-{T}(V1)
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% 0.14/0.42 pppp77-{F}(V0,V1), r1-{F}(V1,V2) | p10-{T}(V2)
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% 0.14/0.42 pppp77-{F}(V0,V1), p10-{F}(V1) | FALSE
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% 0.14/0.42 pppp77-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.42 pppp76-{F}(V0,V1) | pppp75-{T}(V0,V1)
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% 0.14/0.42 pppp75-{F}(V0,V1) | p4-{T}(V1)
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% 0.14/0.42 pppp75-{F}(V0,V1), r1-{F}(V1,V2) | p4-{T}(V2)
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% 0.14/0.42 pppp75-{F}(V0,V1) | p4-{T}(V1)
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% 0.14/0.42 pppp75-{F}(V0,V1), p5-{F}(V1) | FALSE
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% 0.14/0.42 pppp75-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.14/0.42 pppp75-{F}(V0,V1), r1-{F}(V1,V2) | p5-{T}(V2)
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% 0.14/0.42 pppp75-{F}(V0,V1) | p5-{T}(V1)
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% 0.14/0.42 pppp75-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.42 pppp74-{F}(V0,V1) | pppp73-{T}(V0,V1)
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% 0.14/0.42 pppp73-{F}(V0,V1) | EXISTS V2: pppp72-{T}(V1,V2)
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% 0.14/0.42 pppp73-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.14/0.42 pppp73-{F}(V0,V1), r1-{F}(V1,V2) | p5-{T}(V2)
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% 0.14/0.42 pppp73-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.43 pppp71-{F}(V0,V1) | p4-{T}(V0)
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% 0.14/0.43 pppp71-{F}(V0,V1), p5-{F}(V0) | FALSE
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% 0.14/0.43 pppp71-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.43 pppp69-{F}(V0,V1), r1-{F}(V1,V2) | p4-{T}(V2)
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% 0.14/0.43 pppp69-{F}(V0,V1), p5-{F}(V1) | FALSE
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% 0.14/0.43 pppp69-{F}(V0,V1) | EXISTS V2: pppp68-{T}(V2,V1)
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% 0.14/0.43 pppp68-{F}(V0,V1), p4-{F}(V0) | FALSE
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% 0.14/0.43 pppp67-{F}(V0,V1), p4-{F}(V0) | FALSE
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% 0.14/0.43 pppp66-{F}(V0,V1), p5-{F}(V0) | FALSE
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% 0.14/0.43 pppp62-{F}(V0,V1) | EXISTS V2: pppp61-{T}(V1,V2)
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% 0.14/0.43 pppp55-{F}(V0,V1), p6-{F}(V0) | FALSE
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% 0.14/0.43 pppp54-{F}(V0,V1) | pppp53-{T}(V0,V1)
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% 0.14/0.43 pppp53-{F}(V0,V1), r1-{F}(V1,V2) | p6-{T}(V2)
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% 0.14/0.43 pppp53-{F}(V0,V1), p7-{F}(V1) | FALSE
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% 0.14/0.43 pppp53-{F}(V0,V1), p6-{F}(V1) | FALSE
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% 0.14/0.43 pppp53-{F}(V0,V1), r1-{F}(V1,V2) | p7-{T}(V2)
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% 0.14/0.43 pppp52-{F}(V0,V1) | pppp51-{T}(V0,V1)
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% 0.14/0.43 pppp51-{F}(V0,V1) | EXISTS V2: pppp50-{T}(V1,V2)
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% 0.14/0.43 pppp51-{F}(V0,V1), p6-{F}(V1) | FALSE
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% 0.14/0.43 pppp49-{F}(V0,V1), r1-{F}(V0,V2) | p6-{T}(V2)
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% 0.14/0.43 pppp49-{F}(V0,V1), p7-{F}(V0) | FALSE
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% 0.14/0.43 pppp48-{F}(V0,V1) | pppp47-{T}(V0,V1)
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% 0.14/0.43 pppp47-{F}(V0,V1), p7-{F}(V1) | FALSE
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% 0.14/0.43 pppp47-{F}(V0,V1) | EXISTS V2: pppp46-{T}(V2,V1)
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% 0.14/0.43 pppp46-{F}(V0,V1), p6-{F}(V0) | FALSE
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% 0.14/0.43 pppp45-{F}(V0,V1), p6-{F}(V0) | FALSE
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% 0.14/0.43 pppp44-{F}(V0,V1), p7-{F}(V0) | FALSE
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% 0.14/0.43 pppp42-{F}(V0,V1), p8-{F}(V1) | FALSE
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% 0.14/0.43 pppp42-{F}(V0,V1), p7-{F}(V1) | FALSE
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% 0.14/0.43 pppp42-{F}(V0,V1), r1-{F}(V1,V2) | p8-{T}(V2)
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% 0.14/0.43 pppp40-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V1,V2)
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% 0.14/0.43 pppp40-{F}(V0,V1), p7-{F}(V1) | FALSE
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% 0.14/0.43 pppp36-{F}(V0,V1) | EXISTS V2: pppp35-{T}(V2,V1)
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% 0.14/0.43 pppp29-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.43 #339: input, references = 3, size of lhs = 1:
% 0.14/0.43 pppp28-{F}(V0,V1) | pppp27-{T}(V1,V0)
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% 0.14/0.43 pppp27-{F}(V0,V1) | p8-{T}(V0)
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% 0.14/0.43 pppp27-{F}(V0,V1), r1-{F}(V0,V2) | p8-{T}(V2)
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% 0.14/0.43 pppp27-{F}(V0,V1) | p8-{T}(V0)
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% 0.14/0.43 #343: input, references = 3, size of lhs = 2:
% 0.14/0.43 pppp27-{F}(V0,V1), p9-{F}(V0) | FALSE
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% 0.14/0.43 pppp27-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.43 pppp26-{F}(V0,V1) | pppp25-{T}(V0,V1)
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% 0.14/0.43 pppp25-{F}(V0,V1) | p8-{T}(V1)
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% 0.14/0.43 pppp25-{F}(V0,V1), r1-{F}(V1,V2) | p8-{T}(V2)
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% 0.14/0.43 pppp25-{F}(V0,V1) | p8-{T}(V1)
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% 0.14/0.43 pppp25-{F}(V0,V1), p9-{F}(V1) | FALSE
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% 0.14/0.43 #350: input, references = 3, size of lhs = 1:
% 0.14/0.43 pppp25-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V2,V1)
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% 0.14/0.43 pppp25-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.14/0.43 pppp24-{F}(V0,V1), p8-{F}(V0) | FALSE
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% 0.14/0.43 pppp24-{F}(V0,V1), r1-{F}(V0,V2) | p9-{T}(V2)
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% 0.14/0.43 pppp24-{F}(V0,V1) | p9-{T}(V0)
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% 0.14/0.43 pppp24-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.43 pppp23-{F}(V0,V1), p8-{F}(V0) | FALSE
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% 0.14/0.43 pppp23-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.43 pppp22-{F}(V0,V1), p9-{F}(V0) | FALSE
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% 0.14/0.43 pppp22-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.14/0.43 pppp21-{F}(V0,V1) | pppp20-{T}(V0,V1)
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% 0.14/0.43 pppp20-{F}(V0,V1) | p9-{T}(V1)
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% 0.14/0.43 pppp20-{F}(V0,V1), r1-{F}(V1,V2) | p9-{T}(V2)
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% 0.14/0.43 pppp20-{F}(V0,V1), p10-{F}(V1) | FALSE
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% 0.14/0.43 pppp20-{F}(V0,V1), p9-{F}(V1) | FALSE
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% 0.14/0.43 pppp20-{F}(V0,V1), r1-{F}(V1,V2) | p10-{T}(V2)
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% 0.14/0.43 pppp19-{F}(V0,V1) | pppp18-{T}(V0,V1)
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% 0.14/0.43 pppp18-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V1,V2)
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% 0.14/0.43 pppp18-{F}(V0,V1), p9-{F}(V1) | FALSE
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% 0.14/0.43 pppp18-{F}(V0,V1), r1-{F}(V1,V2) | p10-{T}(V2)
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% 0.14/0.43 pppp16-{F}(V0,V1), p10-{F}(V0) | FALSE
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% 0.14/0.43 pppp14-{F}(V0,V1) | p9-{T}(V1)
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% 0.14/0.43 pppp14-{F}(V0,V1), p10-{F}(V1) | FALSE
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% 0.14/0.43 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1)
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% 0.14/0.43 pppp12-{F}(V0,V1), p9-{F}(V0) | FALSE
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% 0.14/0.43 pppp9-{F}(V0,V1), p11-{F}(V1) | FALSE
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% 0.14/0.43 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V2)
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% 0.14/0.43
% 0.14/0.43 #428: input, references = 3, size of lhs = 2:
% 0.14/0.43 pppp1-{F}(V0,V1), p10-{F}(V0) | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #429: input, references = 3, size of lhs = 1:
% 0.14/0.43 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #430: input, references = 3, size of lhs = 2:
% 0.14/0.43 pppp0-{F}(V0,V1), p11-{F}(V0) | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #431: input, references = 3, size of lhs = 1:
% 0.14/0.43 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 number of initial rules = 432
% 0.14/0.43
% 0.14/0.43 Simplifiers:
% 0.14/0.43 #432: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 r1-{F}(V0,V1), r1-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #433: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 pppp77-{F}(V0,V1), pppp77-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #434: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 pppp77-{F}(V0,V1), pppp77-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #435: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 pppp78-{F}(V0,V1), pppp78-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #436: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 pppp78-{F}(V0,V1), pppp78-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #437: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 pppp112-{F}(V0), pppp112-{F}(V1), V0 == V1 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #438: unsound, references = 3, size of lhs = 3:
% 0.14/0.43 pppp113-{F}(V0), pppp113-{F}(V1), V0 == V1 | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 number of simplifiers = 7
% 0.14/0.43
% 0.14/0.43 Learnt:
% 0.14/0.43 #441: exists( #20, #439 ), references = 1, size of lhs = 1:
% 0.14/0.43 pppp112-{F}(V0) | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 #444: exists( #0, #442 ), references = 1, size of lhs = 0:
% 0.14/0.43 FALSE | FALSE
% 0.14/0.43 (used 0 times, uses = {})
% 0.14/0.43
% 0.14/0.43 number of learnt formulas = 2
% 0.14/0.43
% 0.14/0.43
% 0.14/0.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43
% 0.14/0.43 randbase = 1
%------------------------------------------------------------------------------