%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 12:06:33 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 07:08:27 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 GeoParameters:
% 0.12/0.37
% 0.12/0.37 tptp_input = 1
% 0.12/0.37 tptp_output = 0
% 0.12/0.37 nonempty = 1
% 0.12/0.37 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 RuleSystem INPUT:
% 0.12/0.37
% 0.12/0.37 Initial Rules:
% 0.12/0.37 #0: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: pppp58-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #1: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp58-{F}(V0) | pppp57-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #2: input, references = 3, size of lhs = 5:
% 0.12/0.37 pppp57-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), r1-{F}(V0,V2), p1-{F}(V2) | pppp59-{T}(V1), p1-{T}(V1), p2-{T}(V2), pppp60-{T}(V2), pppp61-{T}(V0), pppp62-{T}(V0), pppp63-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #3: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp59-{F}(V0) | EXISTS V1: pppp46-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #4: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp60-{F}(V0) | EXISTS V1: pppp47-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #5: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp61-{F}(V0) | EXISTS V1: pppp50-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #6: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp62-{F}(V0) | EXISTS V1: pppp54-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #7: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp63-{F}(V0) | EXISTS V1: pppp56-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #8: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp57-{F}(V0) | EXISTS V1: pppp45-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #9: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp57-{F}(V0) | EXISTS V1: pppp44-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #10: input, references = 3, size of lhs = 5:
% 0.12/0.37 pppp57-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), r1-{F}(V0,V2), p2-{F}(V2) | pppp64-{T}(V1), p2-{T}(V1), p3-{T}(V2), pppp65-{T}(V2), pppp66-{T}(V0), pppp67-{T}(V0), pppp68-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #11: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp64-{F}(V0) | EXISTS V1: pppp33-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #12: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp65-{F}(V0) | EXISTS V1: pppp34-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #13: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp66-{F}(V0) | EXISTS V1: pppp37-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #14: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp67-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #15: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp68-{F}(V0) | EXISTS V1: pppp43-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #16: input, references = 3, size of lhs = 5:
% 0.12/0.37 pppp57-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), r1-{F}(V0,V2), p3-{F}(V2) | pppp69-{T}(V1), p3-{T}(V1), p4-{T}(V2), pppp70-{T}(V2), pppp71-{T}(V0), pppp72-{T}(V0), pppp73-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #17: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp69-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #18: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp70-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #19: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp71-{F}(V0) | EXISTS V1: pppp26-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #20: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp72-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #21: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp73-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #22: input, references = 3, size of lhs = 5:
% 0.12/0.37 pppp57-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), r1-{F}(V0,V2), p4-{F}(V2) | pppp74-{T}(V1), p4-{T}(V1), p5-{T}(V2), pppp75-{T}(V2), pppp76-{T}(V0), pppp77-{T}(V0), pppp78-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #23: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp74-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #24: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp75-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #25: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp76-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #26: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp77-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #27: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp78-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #28: input, references = 3, size of lhs = 5:
% 0.12/0.37 pppp57-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), r1-{F}(V0,V2), p5-{F}(V2) | pppp79-{T}(V1), p5-{T}(V1), p6-{T}(V2), pppp80-{T}(V2), pppp81-{T}(V0), pppp82-{T}(V0), pppp83-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #29: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp79-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #30: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp80-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #31: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp81-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #32: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp82-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #33: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp83-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #34: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp56-{F}(V0,V1) | pppp55-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #35: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp55-{F}(V0,V1) | p1-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #36: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp55-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #37: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp55-{F}(V0,V1) | p1-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #38: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp55-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #39: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp55-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #40: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp55-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #41: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp55-{F}(V0,V1) | p2-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #42: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp55-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #43: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp54-{F}(V0,V1) | pppp53-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #44: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp53-{F}(V0,V1) | EXISTS V2: pppp52-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #45: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp53-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #46: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp53-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #47: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp53-{F}(V0,V1) | p2-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #48: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp53-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #49: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp52-{F}(V0,V1) | pppp51-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #50: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp51-{F}(V0,V1) | p1-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #51: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp51-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #52: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp51-{F}(V0,V1) | p1-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #53: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp51-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #54: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp51-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #55: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp50-{F}(V0,V1) | pppp49-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #56: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp49-{F}(V0,V1) | p1-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #57: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp49-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #58: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp49-{F}(V0,V1) | p1-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #59: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp49-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #60: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp49-{F}(V0,V1) | EXISTS V2: pppp48-{T}(V2,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #61: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp49-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #62: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp48-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #63: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp48-{F}(V0,V1), r1-{F}(V0,V2) | p2-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #64: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp48-{F}(V0,V1) | p2-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #65: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp48-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #66: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp47-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #67: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp47-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #68: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp46-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #69: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp46-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #70: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp45-{F}(V0,V1) | p5-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #71: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp45-{F}(V0,V1), r1-{F}(V1,V2) | p5-{T}(V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #72: input, references = 4, size of lhs = 2:
% 0.12/0.37 pppp45-{F}(V0,V1), p5-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #73: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp45-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #74: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp44-{F}(V0,V1) | p5-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #75: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp44-{F}(V0,V1), r1-{F}(V1,V2) | p5-{T}(V2)
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% 0.12/0.37 #76: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp44-{F}(V0,V1), p5-{F}(V1) | FALSE
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% 0.12/0.37 #77: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp44-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.37 #78: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp43-{F}(V0,V1) | pppp42-{T}(V0,V1)
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% 0.12/0.37 #79: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp42-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.37 #80: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp42-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.12/0.37 pppp42-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.37 #82: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp42-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.12/0.37 #83: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp42-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.12/0.37 #84: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp42-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.12/0.37 pppp42-{F}(V0,V1) | p3-{T}(V1)
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% 0.12/0.37 #86: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp42-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.37 #87: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp41-{F}(V0,V1) | pppp40-{T}(V0,V1)
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% 0.12/0.37 #88: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp40-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V1,V2)
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% 0.12/0.37 #89: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp40-{F}(V0,V1), p2-{F}(V1) | FALSE
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% 0.12/0.37 #90: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp40-{F}(V0,V1), r1-{F}(V1,V2) | p3-{T}(V2)
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% 0.12/0.37 pppp40-{F}(V0,V1) | p3-{T}(V1)
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% 0.12/0.37 pppp40-{F}(V0,V1) | r1-{T}(V0,V1)
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% 0.12/0.37 #93: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp39-{F}(V0,V1) | pppp38-{T}(V1,V0)
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% 0.12/0.37 #94: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp38-{F}(V0,V1) | p2-{T}(V0)
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% 0.12/0.37 #95: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp38-{F}(V0,V1), r1-{F}(V0,V2) | p2-{T}(V2)
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% 0.12/0.37 pppp38-{F}(V0,V1) | p2-{T}(V0)
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% 0.12/0.37 #97: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp38-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.12/0.37 #98: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp38-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.37 #99: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp37-{F}(V0,V1) | pppp36-{T}(V0,V1)
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% 0.12/0.37 pppp36-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.37 pppp36-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2)
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% 0.12/0.37 pppp36-{F}(V0,V1) | p2-{T}(V1)
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% 0.12/0.37 #103: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp36-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.12/0.37 #104: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp36-{F}(V0,V1) | EXISTS V2: pppp35-{T}(V2,V1)
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% 0.12/0.37 #105: input, references = 3, size of lhs = 1:
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% 0.12/0.37 #106: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp35-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.12/0.37 pppp35-{F}(V0,V1), r1-{F}(V0,V2) | p3-{T}(V2)
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% 0.12/0.37 pppp35-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.37 pppp34-{F}(V0,V1), p2-{F}(V0) | FALSE
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% 0.12/0.37 pppp34-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.37 pppp33-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.12/0.37 pppp32-{F}(V0,V1) | pppp31-{T}(V0,V1)
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% 0.12/0.37 pppp31-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.12/0.37 pppp31-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.12/0.37 pppp31-{F}(V0,V1), r1-{F}(V1,V2) | p4-{T}(V2)
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% 0.12/0.37 pppp31-{F}(V0,V1) | p4-{T}(V1)
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% 0.12/0.37 pppp30-{F}(V0,V1) | pppp29-{T}(V0,V1)
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% 0.12/0.37 pppp29-{F}(V0,V1) | EXISTS V2: pppp28-{T}(V1,V2)
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% 0.12/0.37 pppp29-{F}(V0,V1), p3-{F}(V1) | FALSE
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% 0.12/0.37 pppp29-{F}(V0,V1), r1-{F}(V1,V2) | p4-{T}(V2)
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% 0.12/0.38 pppp28-{F}(V0,V1) | pppp27-{T}(V1,V0)
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% 0.12/0.38 pppp27-{F}(V0,V1), p4-{F}(V0) | FALSE
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% 0.12/0.38 pppp27-{F}(V0,V1) | r1-{T}(V1,V0)
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% 0.12/0.38 pppp25-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.12/0.38 pppp25-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V2,V1)
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% 0.12/0.38 pppp24-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.12/0.38 pppp24-{F}(V0,V1), r1-{F}(V0,V2) | p4-{T}(V2)
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% 0.12/0.38 pppp23-{F}(V0,V1), p3-{F}(V0) | FALSE
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% 0.12/0.38 pppp22-{F}(V0,V1), p4-{F}(V0) | FALSE
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% 0.12/0.38 pppp18-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V1,V2)
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% 0.12/0.38 pppp18-{F}(V0,V1), p4-{F}(V1) | FALSE
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% 0.12/0.38 #165: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp17-{F}(V0,V1) | pppp16-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #166: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp16-{F}(V0,V1) | p4-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #167: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp16-{F}(V0,V1), r1-{F}(V0,V2) | p4-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #168: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp16-{F}(V0,V1) | p4-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #169: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp16-{F}(V0,V1), p5-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #170: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp16-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #171: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp15-{F}(V0,V1) | pppp14-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #172: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp14-{F}(V0,V1) | p4-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #173: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp14-{F}(V0,V1), r1-{F}(V1,V2) | p4-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #174: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp14-{F}(V0,V1) | p4-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #175: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp14-{F}(V0,V1), p5-{F}(V1) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #176: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #177: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #178: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp13-{F}(V0,V1), p4-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #179: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp13-{F}(V0,V1), r1-{F}(V0,V2) | p5-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #180: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp13-{F}(V0,V1) | p5-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #181: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #182: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp12-{F}(V0,V1), p4-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #183: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #184: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp11-{F}(V0,V1), p5-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #185: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #186: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp10-{F}(V0,V1) | pppp9-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #187: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp9-{F}(V0,V1) | p5-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #188: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp9-{F}(V0,V1), r1-{F}(V1,V2) | p5-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #189: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp9-{F}(V0,V1) | p5-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #190: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp9-{F}(V0,V1), p6-{F}(V1) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #191: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp9-{F}(V0,V1), p5-{F}(V1) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #192: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp9-{F}(V0,V1), r1-{F}(V1,V2) | p6-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #193: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp9-{F}(V0,V1) | p6-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #194: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #195: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #196: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #197: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp7-{F}(V0,V1), p5-{F}(V1) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #198: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp7-{F}(V0,V1), r1-{F}(V1,V2) | p6-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #199: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp7-{F}(V0,V1) | p6-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #200: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #201: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp6-{F}(V0,V1) | pppp5-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #202: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp5-{F}(V0,V1) | p5-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #203: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp5-{F}(V0,V1), r1-{F}(V0,V2) | p5-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #204: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp5-{F}(V0,V1) | p5-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #205: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp5-{F}(V0,V1), p6-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #206: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #207: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp4-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #208: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp3-{F}(V0,V1) | p5-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #209: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp3-{F}(V0,V1), r1-{F}(V1,V2) | p5-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #210: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp3-{F}(V0,V1) | p5-{T}(V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #211: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp3-{F}(V0,V1), p6-{F}(V1) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #212: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #213: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #214: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp2-{F}(V0,V1), p5-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #215: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp2-{F}(V0,V1), r1-{F}(V0,V2) | p6-{T}(V2)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #216: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp2-{F}(V0,V1) | p6-{T}(V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #217: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #218: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp1-{F}(V0,V1), p5-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #219: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #220: input, references = 3, size of lhs = 2:
% 0.12/0.38 pppp0-{F}(V0,V1), p6-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #221: input, references = 3, size of lhs = 1:
% 0.12/0.38 pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 number of initial rules = 222
% 0.12/0.38
% 0.12/0.38 Simplifiers:
% 0.12/0.38 #222: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 r1-{F}(V0,V1), r1-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #223: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 pppp44-{F}(V0,V1), pppp44-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #224: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 pppp44-{F}(V0,V1), pppp44-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #225: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 pppp45-{F}(V0,V1), pppp45-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #226: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 pppp45-{F}(V0,V1), pppp45-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #227: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 pppp57-{F}(V0), pppp57-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #228: unsound, references = 3, size of lhs = 3:
% 0.12/0.38 pppp58-{F}(V0), pppp58-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 number of simplifiers = 7
% 0.12/0.38
% 0.12/0.38 Learnt:
% 0.12/0.38 #231: exists( #8, #229 ), references = 1, size of lhs = 1:
% 0.12/0.38 pppp57-{F}(V0) | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 #234: exists( #0, #232 ), references = 1, size of lhs = 0:
% 0.12/0.38 FALSE | FALSE
% 0.12/0.38 (used 0 times, uses = {})
% 0.12/0.38
% 0.12/0.38 number of learnt formulas = 2
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 randbase = 1
%------------------------------------------------------------------------------