%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL678+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 12:06:50 PM UTC 2026
% Result : Theorem 5.56s 5.85s
% Output : Refutation 5.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL678+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 18:17:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 5.56/5.85 GeoParameters:
% 5.56/5.85
% 5.56/5.85 tptp_input = 1
% 5.56/5.85 tptp_output = 0
% 5.56/5.85 nonempty = 1
% 5.56/5.85 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.85 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.56/5.85
% 5.56/5.85
% 5.56/5.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.85
% 5.56/5.85 RuleSystem INPUT:
% 5.56/5.85
% 5.56/5.85 Initial Rules:
% 5.56/5.85 #0: input, references = 4, size of lhs = 1:
% 5.56/5.85 #-{F} V0 | r1-{T}(V0,V0)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #1: input, references = 37, size of lhs = 2:
% 5.56/5.85 r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #2: input, references = 4, size of lhs = 0:
% 5.56/5.85 FALSE | EXISTS V0: pppp31-{T}(V0)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #3: input, references = 4, size of lhs = 1:
% 5.56/5.85 pppp31-{F}(V0) | pppp30-{T}(V0)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #4: input, references = 4, size of lhs = 2:
% 5.56/5.85 pppp30-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp29-{T}(V2,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #5: input, references = 11, size of lhs = 2:
% 5.56/5.85 pppp30-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V2,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #6: input, references = 5, size of lhs = 2:
% 5.56/5.85 pppp30-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V2,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #7: input, references = 6, size of lhs = 2:
% 5.56/5.85 pppp30-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V2,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #8: input, references = 8, size of lhs = 2:
% 5.56/5.85 pppp30-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #9: input, references = 4, size of lhs = 2:
% 5.56/5.85 pppp29-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #10: input, references = 3, size of lhs = 1:
% 5.56/5.85 pppp29-{F}(V0,V1) | pppp32-{T}(V0), pppp33-{T}(V0), pppp34-{T}(V0), pppp35-{T}(V0), pppp36-{T}(V0)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #11: input, references = 3, size of lhs = 1:
% 5.56/5.85 pppp32-{F}(V0) | EXISTS V1: pppp24-{T}(V0,V1)
% 5.56/5.85 (used 0 times, uses = {})
% 5.56/5.85
% 5.56/5.85 #12: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp33-{F}(V0) | EXISTS V1: pppp25-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #13: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp34-{F}(V0) | EXISTS V1: pppp26-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #14: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp35-{F}(V0) | EXISTS V1: pppp27-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #15: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp36-{F}(V0) | EXISTS V1: pppp28-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #16: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp29-{F}(V0,V1) | r1-{T}(V1,V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #17: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp28-{F}(V0,V1), p1-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #18: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp28-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #19: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp27-{F}(V0,V1), p2-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #20: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp27-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #21: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp26-{F}(V0,V1), p3-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #22: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp26-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #23: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp25-{F}(V0,V1), p4-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #24: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp25-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #25: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp24-{F}(V0,V1), p5-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #26: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp24-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #27: input, references = 6, size of lhs = 2:
% 5.56/5.86 pppp23-{F}(V0,V1), r1-{F}(V0,V2) | p2-{T}(V2)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #28: input, references = 6, size of lhs = 1:
% 5.56/5.86 pppp23-{F}(V0,V1) | pppp37-{T}(V0), pppp38-{T}(V0), pppp39-{T}(V0), pppp40-{T}(V0), pppp41-{T}(V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #29: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp37-{F}(V0) | EXISTS V1: pppp18-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #30: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp38-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #31: input, references = 5, size of lhs = 1:
% 5.56/5.86 pppp39-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #32: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp40-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #33: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp41-{F}(V0) | EXISTS V1: pppp22-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #34: input, references = 11, size of lhs = 1:
% 5.56/5.86 pppp23-{F}(V0,V1) | r1-{T}(V1,V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #35: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp22-{F}(V0,V1), p1-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #36: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp22-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #37: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp21-{F}(V0,V1), p2-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #38: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp21-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #39: input, references = 5, size of lhs = 2:
% 5.56/5.86 pppp20-{F}(V0,V1), p3-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #40: input, references = 5, size of lhs = 1:
% 5.56/5.86 pppp20-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #41: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp19-{F}(V0,V1), p4-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #42: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp19-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #43: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp18-{F}(V0,V1), p5-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #44: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp18-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #45: input, references = 6, size of lhs = 2:
% 5.56/5.86 pppp17-{F}(V0,V1), r1-{F}(V0,V2) | p3-{T}(V2)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #46: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp17-{F}(V0,V1) | pppp42-{T}(V0), pppp43-{T}(V0), pppp44-{T}(V0), pppp45-{T}(V0), pppp46-{T}(V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #47: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp42-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #48: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp43-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #49: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp44-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #50: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp45-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #51: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp46-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #52: input, references = 5, size of lhs = 1:
% 5.56/5.86 pppp17-{F}(V0,V1) | r1-{T}(V1,V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #53: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp16-{F}(V0,V1), p1-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #54: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp16-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #55: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp15-{F}(V0,V1), p2-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #56: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #57: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp14-{F}(V0,V1), p3-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #58: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #59: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp13-{F}(V0,V1), p4-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #60: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp13-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #61: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp12-{F}(V0,V1), p5-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #62: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #63: input, references = 6, size of lhs = 2:
% 5.56/5.86 pppp11-{F}(V0,V1), r1-{F}(V0,V2) | p4-{T}(V2)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #64: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp11-{F}(V0,V1) | pppp47-{T}(V0), pppp48-{T}(V0), pppp49-{T}(V0), pppp50-{T}(V0), pppp51-{T}(V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #65: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp47-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #66: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp48-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #67: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp49-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #68: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp50-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #69: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp51-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #70: input, references = 6, size of lhs = 1:
% 5.56/5.86 pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #71: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp10-{F}(V0,V1), p1-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #72: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #73: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp9-{F}(V0,V1), p2-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #74: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #75: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp8-{F}(V0,V1), p3-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #76: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #77: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp7-{F}(V0,V1), p4-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #78: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #79: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp6-{F}(V0,V1), p5-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #80: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #81: input, references = 5, size of lhs = 2:
% 5.56/5.86 pppp5-{F}(V0,V1), r1-{F}(V0,V2) | p5-{T}(V2)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #82: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp5-{F}(V0,V1) | pppp52-{T}(V0), pppp53-{T}(V0), pppp54-{T}(V0), pppp55-{T}(V0), pppp56-{T}(V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #83: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp52-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #84: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp53-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #85: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp54-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #86: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp55-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #87: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp56-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #88: input, references = 8, size of lhs = 1:
% 5.56/5.86 pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #89: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp4-{F}(V0,V1), p1-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #90: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #91: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp3-{F}(V0,V1), p2-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #92: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #93: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp2-{F}(V0,V1), p3-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #94: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #95: input, references = 3, size of lhs = 2:
% 5.56/5.86 pppp1-{F}(V0,V1), p4-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #96: input, references = 3, size of lhs = 1:
% 5.56/5.86 pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #97: input, references = 4, size of lhs = 2:
% 5.56/5.86 pppp0-{F}(V0,V1), p5-{F}(V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #98: input, references = 4, size of lhs = 1:
% 5.56/5.86 pppp0-{F}(V0,V1) | r1-{T}(V0,V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 number of initial rules = 99
% 5.56/5.86
% 5.56/5.86 Simplifiers:
% 5.56/5.86 #99: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #100: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #101: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #102: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #103: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #104: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #105: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #106: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #107: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #108: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #109: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #110: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #111: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #112: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #113: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #114: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #115: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #116: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #117: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #118: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #119: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #120: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #121: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #122: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #123: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #124: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp25-{F}(V0,V1), pppp25-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #125: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #126: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp27-{F}(V0,V1), pppp27-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #127: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #128: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp29-{F}(V0,V1), pppp29-{F}(V2,V1), V0 == V2 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #129: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #130: unsound, references = 3, size of lhs = 3:
% 5.56/5.86 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 number of simplifiers = 32
% 5.56/5.86
% 5.56/5.86 Learnt:
% 5.56/5.86 #135: exists( #14, #133 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp35-{F}(V0), r1-{F}(V1,V0), pppp23-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #143: exists( #31, #141 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp39-{F}(V0), pppp17-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #150: exists( #33, #148 ), references = 9, size of lhs = 3:
% 5.56/5.86 pppp41-{F}(V0), r1-{F}(V1,V0), pppp29-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #157: exists( #30, #155 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp38-{F}(V0), r1-{F}(V1,V0), pppp11-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #159: disj( #28, exists( #30, #155 ), exists( #31, #141 ), exists( #33, #148 ) ), references = 1, size of lhs = 6:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp11-{F}(V0,V3), pppp17-{F}(V1,V4), r1-{F}(V5,V1), pppp29-{F}(V5,V6) | pppp37-{T}(V1), pppp40-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #165: exists( #32, #163 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp40-{F}(V0), pppp23-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #167: disj( #158, exists( #32, #163 ) ), references = 1, size of lhs = 7:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp11-{F}(V0,V3), pppp17-{F}(V1,V4), r1-{F}(V5,V1), pppp29-{F}(V5,V6), pppp23-{F}(V1,V7) | pppp37-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #172: exists( #29, #170 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp37-{F}(V0), r1-{F}(V1,V0), pppp5-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #183: exists( #12, #181 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp33-{F}(V0), pppp11-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #207: exists( #48, #205 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp43-{F}(V0), r1-{F}(V1,V0), pppp11-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #219: exists( #50, #217 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp45-{F}(V0), pppp23-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #234: exists( #83, #231 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp52-{F}(V0), pppp5-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #249: disj( #28, exists( #29, #170 ), exists( #30, #155 ), exists( #32, #163 ) ), references = 1, size of lhs = 6:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp5-{F}(V0,V3), r1-{F}(V4,V1), pppp11-{F}(V4,V5), pppp23-{F}(V1,V6) | pppp39-{T}(V1), pppp41-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #267: exists( #85, #264 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp54-{F}(V0), pppp17-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #285: exists( #31, #283 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp39-{F}(V0), r1-{F}(V1,V0), pppp17-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #287: disj( #248, exists( #31, #283 ) ), references = 9, size of lhs = 8:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp5-{F}(V0,V3), r1-{F}(V4,V1), pppp11-{F}(V4,V5), pppp23-{F}(V1,V6), r1-{F}(V7,V1), pppp17-{F}(V7,V8) | pppp41-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #300: exists( #5, #298 ), references = 2, size of lhs = 8:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp5-{F}(V1,V3), pppp11-{F}(V2,V4), pppp29-{F}(V2,V5), r1-{F}(V6,V1), pppp17-{F}(V6,V7) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #305: mergings( V0 == V3; #303 ), references = 1, size of lhs = 5:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V0,V2), pppp29-{F}(V0,V3), pppp17-{F}(V1,V4) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #308: disj( #28, exists( #29, #170 ), exists( #31, #141 ), exists( #33, #148 ) ), references = 1, size of lhs = 6:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp5-{F}(V0,V3), pppp17-{F}(V1,V4), r1-{F}(V5,V1), pppp29-{F}(V5,V6) | pppp38-{T}(V1), pppp40-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #309: disj( #28, exists( #29, #170 ), exists( #31, #283 ), exists( #33, #148 ) ), references = 1, size of lhs = 7:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp5-{F}(V0,V3), r1-{F}(V4,V1), pppp17-{F}(V4,V5), r1-{F}(V6,V1), pppp29-{F}(V6,V7) | pppp38-{T}(V1), pppp40-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #311: disj( #306, exists( #32, #163 ) ), references = 1, size of lhs = 7:
% 5.56/5.86 r1-{F}(V0,V1), pppp23-{F}(V1,V2), pppp5-{F}(V0,V3), pppp17-{F}(V1,V4), r1-{F}(V5,V1), pppp29-{F}(V5,V6), pppp23-{F}(V1,V7) | pppp38-{T}(V1)
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #319: exists( #5, #317 ), references = 1, size of lhs = 7:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp5-{F}(V2,V3), pppp11-{F}(V1,V4), pppp17-{F}(V2,V5), pppp29-{F}(V1,V6) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #331: exists( #5, #329 ), references = 2, size of lhs = 8:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp11-{F}(V1,V3), pppp29-{F}(V2,V4), r1-{F}(V5,V1), pppp5-{F}(V5,V6), pppp17-{F}(V5,V7) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #341: mergings( V0 == V3; #339 ), references = 1, size of lhs = 5:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp29-{F}(V0,V2), pppp5-{F}(V1,V3), pppp17-{F}(V1,V4) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #355: exists( #5, #353 ), references = 1, size of lhs = 8:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp5-{F}(V1,V3), pppp11-{F}(V1,V4), pppp29-{F}(V2,V5), r1-{F}(V6,V1), pppp17-{F}(V6,V7) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #375: exists( #5, #373 ), references = 1, size of lhs = 8:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp5-{F}(V1,V2), r1-{F}(V3,V1), r1-{F}(V4,V3), pppp11-{F}(V3,V5), pppp17-{F}(V3,V6), pppp29-{F}(V4,V7) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #380: mergings( V0 == V3; #378 ), references = 1, size of lhs = 6:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp11-{F}(V1,V3), pppp17-{F}(V1,V4), pppp29-{F}(V2,V5) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #413: mergings( V0 == V3; #411 ), references = 1, size of lhs = 6:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V1,V2), pppp29-{F}(V1,V3), r1-{F}(V4,V1), pppp17-{F}(V4,V5) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #465: exists( #5, #463 ), references = 2, size of lhs = 9:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V1,V2), r1-{F}(V3,V1), pppp5-{F}(V3,V4), r1-{F}(V5,V1), r1-{F}(V6,V5), pppp17-{F}(V5,V7), pppp29-{F}(V6,V8) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #487: exists( #5, #485 ), references = 1, size of lhs = 8:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp5-{F}(V1,V3), pppp17-{F}(V2,V4), pppp29-{F}(V1,V5), r1-{F}(V6,V1), pppp11-{F}(V6,V7) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #525: exists( #5, #523 ), references = 2, size of lhs = 8:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp5-{F}(V1,V3), pppp17-{F}(V2,V4), pppp29-{F}(V2,V5), r1-{F}(V6,V1), pppp11-{F}(V6,V7) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #543: mergings( V0 == V3; #541 ), references = 2, size of lhs = 6:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V1,V2), r1-{F}(V3,V1), pppp17-{F}(V3,V4), pppp29-{F}(V3,V5) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #561: mergings( V0 == V3; #559 ), references = 1, size of lhs = 4:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp17-{F}(V1,V2), pppp29-{F}(V1,V3) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #603: mergings( V0 == V3; #601 ), references = 1, size of lhs = 7:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp5-{F}(V1,V2), r1-{F}(V3,V1), r1-{F}(V4,V3), pppp17-{F}(V3,V5), pppp29-{F}(V4,V6) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #608: mergings( V0 == V3; #606 ), references = 3, size of lhs = 5:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V1), pppp17-{F}(V1,V3), pppp29-{F}(V2,V4) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #612: mergings( V0 == V1; #610 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V0), pppp29-{F}(V0,V1) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #620: mergings( V0 == V3; #618 ), references = 1, size of lhs = 3:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V1), pppp29-{F}(V1,V2) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #624: mergings( V0 == V1; #622 ), references = 1, size of lhs = 2:
% 5.56/5.86 pppp30-{F}(V0), r1-{F}(V0,V0) | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 #628: exists( #2, #626 ), references = 1, size of lhs = 0:
% 5.56/5.86 FALSE | FALSE
% 5.56/5.86 (used 0 times, uses = {})
% 5.56/5.86
% 5.56/5.86 number of learnt formulas = 39
% 5.56/5.86
% 5.56/5.86
% 5.56/5.86 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.86
% 5.56/5.86 randbase = 1
%------------------------------------------------------------------------------