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Geo-III---2018C.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL662+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n008.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 12:06:42 PM UTC 2026

% Result   : Theorem 0.83s 1.14s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL662+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % 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 21:29:08 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.83/1.14  GeoParameters:
% 0.83/1.14  
% 0.83/1.14  tptp_input =     1
% 0.83/1.14  tptp_output =    0
% 0.83/1.14  nonempty =       1
% 0.83/1.14  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.14  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.83/1.14  
% 0.83/1.14  
% 0.83/1.14  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.14  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.14  
% 0.83/1.14  RuleSystem INPUT:
% 0.83/1.14  
% 0.83/1.14  Initial Rules:
% 0.83/1.14  #0: input, references = 14, size of lhs = 1:
% 0.83/1.14     #-{F} V0 | r1-{T}(V0,V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #1: input, references = 4, size of lhs = 0:
% 0.83/1.14     FALSE | EXISTS V0: pppp35-{T}(V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #2: input, references = 4, size of lhs = 1:
% 0.83/1.14     pppp35-{F}(V0) | pppp34-{T}(V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #3: input, references = 3, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), p1-{F}(V0) | FALSE
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #4: input, references = 4, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1) | pppp36-{T}(V1), p1-{T}(V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #5: input, references = 3, size of lhs = 1:
% 0.83/1.14     pppp36-{F}(V0) | EXISTS V1: pppp33-{T}(V1,V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #6: input, references = 4, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1) | pppp37-{T}(V1), p1-{T}(V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #7: input, references = 4, size of lhs = 1:
% 0.83/1.14     pppp37-{F}(V0) | EXISTS V1: pppp32-{T}(V1,V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #8: input, references = 4, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1) | pppp38-{T}(V1), p2-{T}(V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #9: input, references = 3, size of lhs = 1:
% 0.83/1.14     pppp38-{F}(V0) | EXISTS V1: pppp31-{T}(V1,V0)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #10: input, references = 3, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp30-{T}(V2,V1)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #11: input, references = 3, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp28-{T}(V2,V1)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #12: input, references = 3, size of lhs = 2:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp26-{T}(V2,V1)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #13: input, references = 3, size of lhs = 3:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp24-{T}(V2,V3)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #14: input, references = 3, size of lhs = 3:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp21-{T}(V2,V3)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #15: input, references = 3, size of lhs = 3:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp18-{T}(V2,V3)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #16: input, references = 3, size of lhs = 4:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | EXISTS V4: pppp15-{T}(V4,V3)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #17: input, references = 3, size of lhs = 4:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | EXISTS V4: pppp11-{T}(V4,V3)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #18: input, references = 3, size of lhs = 4:
% 0.83/1.14     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | EXISTS V4: pppp7-{T}(V4,V3)
% 0.83/1.14        (used 0 times, uses = {})
% 0.83/1.14  
% 0.83/1.14  #19: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp3-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #20: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp33-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p2-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #21: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp33-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #22: input, references = 4, size of lhs = 6:
% 0.83/1.15     pppp32-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #23: input, references = 4, size of lhs = 1:
% 0.83/1.15     pppp32-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #24: input, references = 4, size of lhs = 6:
% 0.83/1.15     pppp31-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #25: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp31-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #26: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp30-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp39-{T}(V5), p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #27: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp39-{F}(V0) | EXISTS V1: pppp29-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #28: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp30-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #29: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp29-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p2-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #30: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp29-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #31: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp28-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp40-{T}(V5), p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #32: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp40-{F}(V0) | EXISTS V1: pppp27-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #33: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp28-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #34: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp27-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #35: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp27-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #36: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp26-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp41-{T}(V5), p2-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #37: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp41-{F}(V0) | EXISTS V1: pppp25-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #38: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp26-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #39: input, references = 4, size of lhs = 6:
% 0.83/1.15     pppp25-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #40: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp25-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #41: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp24-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp23-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #42: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp24-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #43: input, references = 3, size of lhs = 5:
% 0.83/1.15     pppp23-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp42-{T}(V5), p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #44: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp42-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #45: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp23-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #46: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp22-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p2-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #47: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp22-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #48: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp21-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp20-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #49: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp21-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #50: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp20-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp43-{T}(V5), p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #51: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp43-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #52: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp20-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #53: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp19-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #54: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp19-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #55: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp18-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp17-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #56: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp18-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #57: input, references = 3, size of lhs = 5:
% 0.83/1.15     pppp17-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp44-{T}(V5), p2-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #58: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp44-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #59: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp17-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #60: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp16-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #61: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp16-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #62: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp15-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp14-{T}(V5,V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #63: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp15-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #64: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp14-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp13-{T}(V5,V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #65: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp14-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #66: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp13-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp45-{T}(V5), p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #67: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp45-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #68: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #69: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp12-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p2-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #70: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp12-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #71: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp11-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp10-{T}(V5,V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #72: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #73: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp10-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp9-{T}(V5,V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #74: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #75: input, references = 4, size of lhs = 5:
% 0.83/1.15     pppp9-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp46-{T}(V5), p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #76: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp46-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #77: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #78: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp8-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #79: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #80: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp7-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp6-{T}(V5,V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #81: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #82: input, references = 3, size of lhs = 4:
% 0.83/1.15     pppp6-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp5-{T}(V5,V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #83: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #84: input, references = 3, size of lhs = 5:
% 0.83/1.15     pppp5-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp47-{T}(V5), p2-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #85: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp47-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #86: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #87: input, references = 3, size of lhs = 6:
% 0.83/1.15     pppp4-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), p1-{F}(V5) | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #88: input, references = 3, size of lhs = 1:
% 0.83/1.15     pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #89: input, references = 4, size of lhs = 4:
% 0.83/1.15     pppp3-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp2-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #90: input, references = 4, size of lhs = 1:
% 0.83/1.15     pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #91: input, references = 4, size of lhs = 4:
% 0.83/1.15     pppp2-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp1-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #92: input, references = 6, size of lhs = 1:
% 0.83/1.15     pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #93: input, references = 4, size of lhs = 4:
% 0.83/1.15     pppp1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | EXISTS V5: pppp0-{T}(V4,V5)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #94: input, references = 6, size of lhs = 1:
% 0.83/1.15     pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #95: input, references = 6, size of lhs = 4:
% 0.83/1.15     pppp0-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | p1-{T}(V4)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #96: input, references = 6, size of lhs = 1:
% 0.83/1.15     pppp0-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  number of initial rules = 97
% 0.83/1.15  
% 0.83/1.15  Simplifiers:
% 0.83/1.15  #97: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #98: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #99: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #100: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #101: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #102: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.83/1.15  
% 0.83/1.15  #103: unsound, references = 3, size of lhs = 3:
% 0.83/1.15     pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.83/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #104: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #105: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #106: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #107: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #108: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #109: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #110: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #111: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #112: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #113: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #114: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #115: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #116: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #117: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #118: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #119: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #120: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #121: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #122: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp25-{F}(V0,V1), pppp25-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #123: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #124: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp27-{F}(V0,V1), pppp27-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #125: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp28-{F}(V0,V1), pppp28-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #126: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp29-{F}(V0,V1), pppp29-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #127: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp30-{F}(V0,V1), pppp30-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #128: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp31-{F}(V0,V1), pppp31-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #129: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #130: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp33-{F}(V0,V1), pppp33-{F}(V2,V1), V0 == V2 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #131: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #132: unsound, references = 3, size of lhs = 3:
% 0.16/1.15     pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  number of simplifiers = 36
% 0.16/1.15  
% 0.16/1.15  Learnt:
% 0.16/1.15  #134: disj( #4, input ), references = 1, size of lhs = 2:
% 0.16/1.15     pppp34-{F}(V0), r1-{F}(V0,V1) | pppp36-{T}(V1)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #137: disj( #6, input ), references = 2, size of lhs = 2:
% 0.16/1.15     pppp34-{F}(V0), r1-{F}(V0,V1) | pppp37-{T}(V1)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #139: disj( #8, input ), references = 1, size of lhs = 7:
% 0.16/1.15     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), r1-{F}(V4,V3), r1-{F}(V5,V4), pppp33-{F}(V5,V6) | pppp38-{T}(V1)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #141: disj( #36, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp26-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp33-{F}(V9,V10) | pppp41-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #145: disj( #31, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp28-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp32-{F}(V9,V10) | pppp40-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #148: disj( #26, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp30-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp32-{F}(V9,V10) | pppp39-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #152: disj( #50, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp20-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp32-{F}(V9,V10) | pppp43-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #153: disj( #50, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp20-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp31-{F}(V9,V10) | pppp43-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #154: disj( #50, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp20-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp25-{F}(V10,V9) | pppp43-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #158: disj( #66, input ), references = 1, size of lhs = 6:
% 0.16/1.15     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V3,V2), r1-{F}(V4,V3), pppp13-{F}(V4,V5) | pppp45-{T}(V1)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #159: disj( #66, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp13-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp32-{F}(V9,V10) | pppp45-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #160: disj( #66, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp13-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp31-{F}(V9,V10) | pppp45-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #164: disj( #75, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp9-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp32-{F}(V9,V10) | pppp46-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #165: disj( #75, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp9-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp31-{F}(V9,V10) | pppp46-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #166: disj( #75, input ), references = 1, size of lhs = 10:
% 0.16/1.15     pppp9-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V6,V4), r1-{F}(V7,V6), r1-{F}(V8,V7), r1-{F}(V9,V8), pppp25-{F}(V10,V9) | pppp46-{T}(V5)
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #182: exists( #93, #176 ), references = 2, size of lhs = 8:
% 0.16/1.15     pppp1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), r1-{F}(V6,V5), r1-{F}(V7,V6), pppp32-{F}(V7,V8) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #183: exists( #93, #177 ), references = 2, size of lhs = 8:
% 0.16/1.15     pppp1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), r1-{F}(V6,V5), r1-{F}(V7,V6), pppp31-{F}(V7,V8) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #184: exists( #93, #178 ), references = 2, size of lhs = 8:
% 0.16/1.15     pppp1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), r1-{F}(V6,V5), r1-{F}(V7,V6), pppp25-{F}(V8,V7) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #194: exists( #91, #188 ), references = 2, size of lhs = 7:
% 0.16/1.15     pppp2-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), r1-{F}(V6,V5), pppp32-{F}(V6,V7) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #195: exists( #91, #189 ), references = 2, size of lhs = 7:
% 0.16/1.15     pppp2-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), r1-{F}(V6,V5), pppp31-{F}(V6,V7) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #196: exists( #91, #190 ), references = 2, size of lhs = 7:
% 0.16/1.15     pppp2-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), r1-{F}(V6,V5), pppp25-{F}(V7,V6) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #206: exists( #89, #200 ), references = 2, size of lhs = 6:
% 0.16/1.15     pppp3-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), pppp32-{F}(V5,V6) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #207: exists( #89, #201 ), references = 1, size of lhs = 6:
% 0.16/1.15     pppp3-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), pppp31-{F}(V5,V6) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #208: exists( #89, #202 ), references = 1, size of lhs = 6:
% 0.16/1.15     pppp3-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V5,V4), pppp25-{F}(V6,V5) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #212: exists( #7, #210 ), references = 2, size of lhs = 2:
% 0.16/1.15     pppp37-{F}(V0), pppp3-{F}(V1,V0) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #217: mergings( V0 == V4; #215 ), references = 1, size of lhs = 5:
% 0.16/1.15     pppp34-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V0) | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  #221: exists( #1, #219 ), references = 1, size of lhs = 0:
% 0.16/1.15     FALSE | FALSE
% 0.16/1.15        (used 0 times, uses = {})
% 0.16/1.15  
% 0.16/1.15  number of learnt formulas = 27
% 0.16/1.15  
% 0.16/1.15  
% 0.16/1.15  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/1.15  
% 0.16/1.15  randbase = 1
%------------------------------------------------------------------------------