TSTP Solution File: LCL688+1.005 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL688+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:09:58 EDT 2022

% Result   : Theorem 6.81s 7.04s
% Output   : Refutation 6.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL688+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 22:20:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 6.81/7.04  GeoParameters:
% 6.81/7.04  
% 6.81/7.04  tptp_input =     1
% 6.81/7.04  tptp_output =    0
% 6.81/7.04  nonempty =       1
% 6.81/7.04  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/7.04  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.81/7.04  
% 6.81/7.04  
% 6.81/7.04  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/7.04  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/7.04  
% 6.81/7.04  RuleSystem INPUT:
% 6.81/7.04  
% 6.81/7.04  Initial Rules:
% 6.81/7.04  #0: input, references = 13, size of lhs = 1:
% 6.81/7.04     #-{F} V0 | r1-{T}(V0,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1: input, references = 10, size of lhs = 2:
% 6.81/7.04     r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #2: input, references = 4, size of lhs = 0:
% 6.81/7.04     FALSE | EXISTS V0: pppp51-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #3: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp51-{F}(V0) | pppp50-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #4: input, references = 3, size of lhs = 5:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V3) | EXISTS V4: pppp49-{T}(V4,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #5: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp50-{F}(V0) | EXISTS V1: pppp48-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #6: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp50-{F}(V0) | EXISTS V1: pppp26-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #7: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1) | p1-{T}(V0), pppp52-{T}(V1), pppp53-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #8: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp52-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #9: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp53-{F}(V0) | EXISTS V1: pppp23-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #10: input, references = 4, size of lhs = 3:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V1), pppp54-{T}(V2), pppp55-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #11: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp54-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #12: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp55-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #13: input, references = 4, size of lhs = 4:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p1-{T}(V2), pppp56-{T}(V3), pppp57-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #14: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp56-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #15: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp57-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #16: input, references = 6, size of lhs = 4:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | pppp17-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #17: input, references = 3, size of lhs = 3:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #18: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp49-{F}(V0,V1) | p1-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #19: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp49-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #20: input, references = 3, size of lhs = 5:
% 6.81/7.04     pppp48-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V4) | EXISTS V5: pppp47-{T}(V2,V5)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #21: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp48-{F}(V0,V1) | EXISTS V2: pppp46-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #22: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp48-{F}(V0,V1) | EXISTS V2: pppp29-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #23: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp48-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #24: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp47-{F}(V0,V1) | p1-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #25: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp47-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #26: input, references = 3, size of lhs = 5:
% 6.81/7.04     pppp46-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V4) | EXISTS V5: pppp45-{T}(V5,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #27: input, references = 6, size of lhs = 1:
% 6.81/7.04     pppp46-{F}(V0,V1) | EXISTS V2: pppp44-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #28: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp46-{F}(V0,V1) | EXISTS V2: pppp32-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #29: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp46-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #30: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp45-{F}(V0,V1) | p1-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #31: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp45-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #32: input, references = 3, size of lhs = 5:
% 6.81/7.04     pppp44-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V4) | EXISTS V5: pppp43-{T}(V2,V5)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #33: input, references = 6, size of lhs = 1:
% 6.81/7.04     pppp44-{F}(V0,V1) | EXISTS V2: pppp42-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #34: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp44-{F}(V0,V1) | EXISTS V2: pppp35-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #35: input, references = 6, size of lhs = 1:
% 6.81/7.04     pppp44-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #36: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp43-{F}(V0,V1) | p1-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #37: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp43-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #38: input, references = 3, size of lhs = 5:
% 6.81/7.04     pppp42-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V4) | EXISTS V5: pppp41-{T}(V5,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #39: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp42-{F}(V0,V1) | EXISTS V2: pppp40-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #40: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp42-{F}(V0,V1) | EXISTS V2: pppp38-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #41: input, references = 6, size of lhs = 1:
% 6.81/7.04     pppp42-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #42: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp41-{F}(V0,V1) | p1-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #43: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp41-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #44: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp40-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp39-{T}(V2,V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #45: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp40-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #46: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp39-{F}(V0,V1), p2-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #47: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp39-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #48: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp38-{F}(V0,V1) | EXISTS V2: pppp37-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #49: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp38-{F}(V0,V1) | EXISTS V2: pppp36-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #50: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp38-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #51: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp37-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #52: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp37-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #53: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp36-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #54: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp36-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #55: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp35-{F}(V0,V1) | EXISTS V2: pppp34-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #56: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp35-{F}(V0,V1) | EXISTS V2: pppp33-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #57: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp35-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #58: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp34-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #59: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp34-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #60: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp33-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #61: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp33-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #62: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp32-{F}(V0,V1) | EXISTS V2: pppp31-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #63: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp32-{F}(V0,V1) | EXISTS V2: pppp30-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #64: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp32-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #65: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp31-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #66: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp31-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #67: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp30-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #68: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp30-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #69: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp29-{F}(V0,V1) | EXISTS V2: pppp28-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #70: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp29-{F}(V0,V1) | EXISTS V2: pppp27-{T}(V0,V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #71: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp29-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #72: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp28-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #73: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp28-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #74: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp27-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #75: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp27-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #76: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp26-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #77: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp26-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #78: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp26-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #79: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp25-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #80: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp25-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #81: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp24-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #82: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp24-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #83: input, references = 4, size of lhs = 4:
% 6.81/7.04     pppp23-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #84: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp23-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #85: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp23-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #86: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp22-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #87: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp22-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #88: input, references = 7, size of lhs = 4:
% 6.81/7.04     pppp21-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #89: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp21-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #90: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp21-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #91: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp20-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #92: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp20-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #93: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp19-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #94: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp19-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #95: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp19-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #96: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp18-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #97: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp18-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #98: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1) | p1-{T}(V0), pppp58-{T}(V1), pppp59-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #99: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp58-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #100: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp59-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #101: input, references = 4, size of lhs = 3:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V1), pppp60-{T}(V2), pppp61-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #102: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp60-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #103: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp61-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #104: input, references = 4, size of lhs = 4:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p1-{T}(V2), pppp62-{T}(V3), pppp63-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #105: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp62-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #106: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp63-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #107: input, references = 4, size of lhs = 5:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | p1-{T}(V3), pppp64-{T}(V4), pppp65-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #108: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp64-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #109: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp65-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #110: input, references = 8, size of lhs = 5:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | pppp8-{T}(V4)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #111: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp16-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #112: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp16-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #113: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp16-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #114: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp15-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #115: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp15-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #116: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp14-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #117: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp14-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #118: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #119: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp13-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #120: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #121: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp12-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #122: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp12-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #123: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #124: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp11-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #125: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #126: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp10-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #127: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp10-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #128: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #129: input, references = 4, size of lhs = 2:
% 6.81/7.04     pppp9-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #130: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #131: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1) | p1-{T}(V0), pppp66-{T}(V1), pppp67-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #132: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp66-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #133: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp67-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #134: input, references = 3, size of lhs = 3:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V1), pppp68-{T}(V2), pppp69-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #135: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp68-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #136: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp69-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #137: input, references = 5, size of lhs = 7:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p2-{F}(V3), r1-{F}(V3,V5) | p2-{T}(V4), pppp70-{T}(V5)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #138: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp70-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #139: input, references = 4, size of lhs = 7:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p2-{F}(V3), r1-{F}(V3,V5) | pppp71-{T}(V4), pppp72-{T}(V5)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #140: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp71-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #141: input, references = 4, size of lhs = 1:
% 6.81/7.04     pppp72-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #142: input, references = 5, size of lhs = 4:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | EXISTS V4: pppp1-{T}(V3,V4)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #143: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp7-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #144: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp7-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #145: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #146: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp6-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #147: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #148: input, references = 3, size of lhs = 4:
% 6.81/7.04     pppp5-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #149: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp5-{F}(V0,V1), p1-{F}(V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #150: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #151: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp4-{F}(V0,V1), p1-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #152: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #153: input, references = 4, size of lhs = 3:
% 6.81/7.04     pppp3-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #154: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #155: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp2-{F}(V0,V1), p3-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #156: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #157: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp1-{F}(V0,V1) | p2-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #158: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #159: input, references = 5, size of lhs = 1:
% 6.81/7.04     pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #160: input, references = 3, size of lhs = 2:
% 6.81/7.04     pppp0-{F}(V0,V1), p3-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #161: input, references = 3, size of lhs = 1:
% 6.81/7.04     pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  number of initial rules = 162
% 6.81/7.04  
% 6.81/7.04  Simplifiers:
% 6.81/7.04  #162: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #163: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #164: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #165: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #166: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #167: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #168: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #169: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #170: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #171: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #172: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #173: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #174: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #175: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #176: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #177: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #178: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #179: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #180: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #181: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #182: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #183: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #184: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #185: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp24-{F}(V0,V1), pppp24-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #186: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #187: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #188: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #189: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp27-{F}(V0,V1), pppp27-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #190: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #191: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp29-{F}(V0,V1), pppp29-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #192: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp30-{F}(V0,V1), pppp30-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #193: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp31-{F}(V0,V1), pppp31-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #194: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #195: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp33-{F}(V0,V1), pppp33-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #196: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp34-{F}(V0,V1), pppp34-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #197: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp35-{F}(V0,V1), pppp35-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #198: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp36-{F}(V0,V1), pppp36-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #199: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp37-{F}(V0,V1), pppp37-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #200: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp38-{F}(V0,V1), pppp38-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #201: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp39-{F}(V0,V1), pppp39-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #202: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp40-{F}(V0,V1), pppp40-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #203: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp41-{F}(V0,V1), pppp41-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #204: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp42-{F}(V0,V1), pppp42-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #205: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp43-{F}(V0,V1), pppp43-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #206: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp44-{F}(V0,V1), pppp44-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #207: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp45-{F}(V0,V1), pppp45-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #208: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp46-{F}(V0,V1), pppp46-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #209: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp47-{F}(V0,V1), pppp47-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #210: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp48-{F}(V0,V1), pppp48-{F}(V0,V3), V1 == V3 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #211: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp48-{F}(V0,V1), pppp48-{F}(V2,V3), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #212: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp49-{F}(V0,V1), pppp49-{F}(V2,V1), V0 == V2 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #213: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp50-{F}(V0), pppp50-{F}(V1), V0 == V1 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #214: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp51-{F}(V0), pppp51-{F}(V1), V0 == V1 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #215: unsound, references = 3, size of lhs = 3:
% 6.81/7.04     pppp53-{F}(V0), pppp53-{F}(V1), V0 == V1 | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  number of simplifiers = 54
% 6.81/7.04  
% 6.81/7.04  Learnt:
% 6.81/7.04  #277: exists( #55, #273 ), references = 1, size of lhs = 4:
% 6.81/7.04     p1-{F}(V0), pppp35-{F}(V0,V1), r1-{F}(V2,V0), pppp23-{F}(V3,V2) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #421: exists( #99, #417 ), references = 1, size of lhs = 2:
% 6.81/7.04     pppp58-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #425: disj( #98, input, exists( #99, #417 ) ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), pppp25-{F}(V0,V2), pppp30-{F}(V1,V3) | pppp59-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #426: disj( #98, input, exists( #99, #417 ) ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), pppp23-{F}(V2,V0), pppp30-{F}(V1,V3) | pppp59-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #427: disj( #98, input, exists( #99, #417 ) ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V0,V2), pppp30-{F}(V1,V3) | pppp59-{T}(V0)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #528: exists( #142, #526 ), references = 2, size of lhs = 5:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp3-{F}(V3,V4) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #533: exists( #141, #531 ), references = 1, size of lhs = 3:
% 6.81/7.04     pppp72-{F}(V0), pppp8-{F}(V1), r1-{F}(V1,V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #535: disj( #139, exists( #141, #531 ) ), references = 1, size of lhs = 9:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V3), r1-{F}(V3,V4), r1-{F}(V3,V5), pppp8-{F}(V6), r1-{F}(V6,V5) | pppp71-{T}(V4)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #645: exists( #11, #642 ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp54-{F}(V0), p1-{F}(V0), r1-{F}(V1,V0), pppp21-{F}(V1,V2) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #647: disj( #10, exists( #11, #642 ), exists( #11, #642 ) ), references = 1, size of lhs = 9:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), pppp54-{F}(V1), r1-{F}(V1,V2), p1-{F}(V2), r1-{F}(V3,V1), pppp21-{F}(V3,V4), r1-{F}(V5,V2), pppp21-{F}(V5,V6) | pppp55-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #782: exists( #14, #778 ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp56-{F}(V0), p1-{F}(V0), r1-{F}(V1,V0), pppp21-{F}(V1,V2) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #784: disj( #13, exists( #14, #778 ), exists( #14, #778 ) ), references = 1, size of lhs = 10:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp56-{F}(V2), r1-{F}(V2,V3), p1-{F}(V3), r1-{F}(V4,V2), pppp21-{F}(V4,V5), r1-{F}(V6,V3), pppp21-{F}(V6,V7) | pppp57-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #871: exists( #108, #868 ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp64-{F}(V0), p1-{F}(V0), r1-{F}(V1,V0), pppp21-{F}(V1,V2) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #873: disj( #107, exists( #108, #868 ), exists( #108, #868 ) ), references = 1, size of lhs = 11:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp64-{F}(V3), r1-{F}(V3,V4), p1-{F}(V4), r1-{F}(V5,V3), pppp21-{F}(V5,V6), r1-{F}(V7,V4), pppp21-{F}(V7,V8) | pppp65-{T}(V3)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #987: exists( #105, #984 ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp62-{F}(V0), p1-{F}(V0), r1-{F}(V1,V0), pppp21-{F}(V1,V2) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #989: disj( #104, exists( #105, #984 ), exists( #105, #984 ) ), references = 1, size of lhs = 10:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp62-{F}(V2), r1-{F}(V2,V3), p1-{F}(V3), r1-{F}(V4,V2), pppp21-{F}(V4,V5), r1-{F}(V6,V3), pppp21-{F}(V6,V7) | pppp63-{T}(V2)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1122: disj( #137, input ), references = 1, size of lhs = 8:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V3), r1-{F}(V3,V4), r1-{F}(V3,V5), pppp39-{F}(V6,V4) | pppp70-{T}(V5)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1168: exists( #138, #1166 ), references = 3, size of lhs = 4:
% 6.81/7.04     pppp70-{F}(V0), pppp8-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1175: exists( #44, #1173 ), references = 3, size of lhs = 10:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V3), r1-{F}(V3,V4), pppp8-{F}(V5), r1-{F}(V5,V4), r1-{F}(V6,V4), pppp40-{F}(V7,V6) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1179: exists( #39, #1177 ), references = 1, size of lhs = 7:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V3), pppp8-{F}(V3), pppp42-{F}(V3,V4) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1181: disj( #137, exists( #39, #1177 ) ), references = 3, size of lhs = 13:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V3), r1-{F}(V3,V4), pppp8-{F}(V4), r1-{F}(V3,V5), pppp8-{F}(V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V4), pppp42-{F}(V4,V9) | pppp70-{T}(V5)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1191: exists( #33, #1189 ), references = 1, size of lhs = 16:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V3), pppp44-{F}(V4,V3), pppp8-{F}(V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V3), r1-{F}(V3,V8), pppp8-{F}(V9), r1-{F}(V9,V3), pppp8-{F}(V10), r1-{F}(V10,V11), r1-{F}(V11,V8) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1228: exists( #33, #1226 ), references = 1, size of lhs = 17:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp44-{F}(V3,V2), pppp8-{F}(V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), p2-{F}(V7), r1-{F}(V7,V2), r1-{F}(V7,V8), pppp8-{F}(V9), r1-{F}(V9,V10), r1-{F}(V10,V7), pppp8-{F}(V11), r1-{F}(V11,V12), r1-{F}(V12,V8) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1231: exists( #27, #1229 ), references = 1, size of lhs = 15:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), pppp46-{F}(V1,V2), pppp8-{F}(V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V1), r1-{F}(V1,V6), pppp8-{F}(V7), r1-{F}(V7,V8), r1-{F}(V8,V1), pppp8-{F}(V9), r1-{F}(V9,V10), r1-{F}(V10,V6) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1332: exists( #102, #1328 ), references = 1, size of lhs = 2:
% 6.81/7.04     pppp60-{F}(V0), pppp24-{F}(V0,V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1336: disj( #101, input, exists( #102, #1328 ) ), references = 1, size of lhs = 5:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp23-{F}(V3,V1), pppp24-{F}(V2,V4) | pppp61-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1337: disj( #101, input, exists( #102, #1328 ) ), references = 1, size of lhs = 5:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V3,V1), pppp24-{F}(V2,V4) | pppp61-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1338: disj( #101, input, exists( #102, #1328 ) ), references = 1, size of lhs = 5:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp16-{F}(V1,V3), pppp24-{F}(V2,V4) | pppp61-{T}(V1)
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1425: exists( #142, #1423 ), references = 2, size of lhs = 8:
% 6.81/7.04     pppp8-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp8-{F}(V3), pppp8-{F}(V4), r1-{F}(V4,V3), pppp40-{F}(V5,V3) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1431: exists( #39, #1429 ), references = 1, size of lhs = 5:
% 6.81/7.04     pppp17-{F}(V0), r1-{F}(V0,V1), pppp42-{F}(V1,V2), pppp8-{F}(V3), r1-{F}(V3,V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1434: exists( #33, #1432 ), references = 3, size of lhs = 3:
% 6.81/7.04     pppp17-{F}(V0), pppp8-{F}(V0), pppp44-{F}(V1,V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1440: exists( #27, #1438 ), references = 1, size of lhs = 3:
% 6.81/7.04     pppp50-{F}(V0), pppp17-{F}(V0), pppp46-{F}(V0,V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1453: exists( #27, #1451 ), references = 2, size of lhs = 5:
% 6.81/7.04     pppp50-{F}(V0), r1-{F}(V0,V1), pppp46-{F}(V1,V2), pppp17-{F}(V3), r1-{F}(V3,V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1456: exists( #21, #1454 ), references = 1, size of lhs = 3:
% 6.81/7.04     pppp50-{F}(V0), pppp17-{F}(V0), pppp48-{F}(V1,V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1460: exists( #21, #1458 ), references = 1, size of lhs = 4:
% 6.81/7.04     pppp50-{F}(V0), pppp17-{F}(V0), r1-{F}(V0,V1), pppp48-{F}(V2,V1) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1463: exists( #5, #1461 ), references = 1, size of lhs = 2:
% 6.81/7.04     pppp50-{F}(V0), pppp17-{F}(V0) | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  #1468: exists( #2, #1466 ), references = 1, size of lhs = 0:
% 6.81/7.04     FALSE | FALSE
% 6.81/7.04        (used 0 times, uses = {})
% 6.81/7.04  
% 6.81/7.04  number of learnt formulas = 37
% 6.81/7.04  
% 6.81/7.04  
% 6.81/7.04  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/7.04  
% 6.81/7.04  randbase = 1
%------------------------------------------------------------------------------