TSTP Solution File: LCL642+1.001 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL642+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:09:33 EDT 2022

% Result   : Theorem 2.42s 2.60s
% Output   : Refutation 2.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL642+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n023.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 21:57:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.42/2.60  GeoParameters:
% 2.42/2.60  
% 2.42/2.60  tptp_input =     1
% 2.42/2.60  tptp_output =    0
% 2.42/2.60  nonempty =       1
% 2.42/2.60  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.42/2.60  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.42/2.60  
% 2.42/2.60  
% 2.42/2.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.42/2.60  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.42/2.60  
% 2.42/2.60  RuleSystem INPUT:
% 2.42/2.60  
% 2.42/2.60  Initial Rules:
% 2.42/2.60  #0: input, references = 4, size of lhs = 0:
% 2.42/2.60     FALSE | EXISTS V0: pppp32-{T}(V0)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #1: input, references = 4, size of lhs = 1:
% 2.42/2.60     pppp32-{F}(V0) | pppp31-{T}(V0)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #2: input, references = 8, size of lhs = 2:
% 2.42/2.60     pppp31-{F}(V0), r1-{F}(V0,V1) | p2-{T}(V1), pppp33-{T}(V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #3: input, references = 7, size of lhs = 1:
% 2.42/2.60     pppp33-{F}(V0) | EXISTS V1: pppp30-{T}(V1,V0)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #4: input, references = 3, size of lhs = 1:
% 2.42/2.60     pppp31-{F}(V0) | p2-{T}(V0), pppp34-{T}(V0), pppp35-{T}(V0)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #5: input, references = 3, size of lhs = 1:
% 2.42/2.60     pppp34-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #6: input, references = 3, size of lhs = 1:
% 2.42/2.60     pppp35-{F}(V0) | EXISTS V1: pppp29-{T}(V0,V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #7: input, references = 4, size of lhs = 3:
% 2.42/2.60     pppp31-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2), pppp36-{T}(V2), pppp37-{T}(V0), pppp38-{T}(V0)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #8: input, references = 4, size of lhs = 1:
% 2.42/2.60     pppp36-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #9: input, references = 4, size of lhs = 1:
% 2.42/2.60     pppp37-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #10: input, references = 4, size of lhs = 1:
% 2.42/2.60     pppp38-{F}(V0) | EXISTS V1: pppp29-{T}(V0,V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #11: input, references = 4, size of lhs = 2:
% 2.42/2.60     pppp31-{F}(V0), r1-{F}(V0,V1) | p1-{T}(V1), pppp39-{T}(V1)
% 2.42/2.60        (used 0 times, uses = {})
% 2.42/2.60  
% 2.42/2.60  #12: input, references = 3, size of lhs = 1:
% 2.42/2.60     pppp39-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #13: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp31-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #14: input, references = 8, size of lhs = 2:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1) | p2-{T}(V1), pppp40-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #15: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp40-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #16: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp31-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #17: input, references = 5, size of lhs = 2:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1) | p3-{T}(V1), pppp41-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #18: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp41-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #19: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp31-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #20: input, references = 9, size of lhs = 4:
% 2.42/2.61     pppp30-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p2-{F}(V2) | p2-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #21: input, references = 4, size of lhs = 2:
% 2.42/2.61     pppp30-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #22: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp30-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #23: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp29-{F}(V0,V1) | pppp28-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #24: input, references = 8, size of lhs = 6:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V2,V4), r1-{F}(V4,V5), p2-{F}(V4) | pppp27-{T}(V2), p2-{T}(V3), pppp42-{T}(V3), p2-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #25: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp42-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #26: input, references = 5, size of lhs = 4:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2) | pppp27-{T}(V2), p2-{T}(V3), pppp43-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #27: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp43-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #28: input, references = 5, size of lhs = 5:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p2-{F}(V3) | pppp27-{T}(V2), pppp44-{T}(V2), p2-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #29: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp44-{F}(V0) | EXISTS V1: pppp24-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #30: input, references = 4, size of lhs = 3:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2) | pppp27-{T}(V2), pppp45-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #31: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp45-{F}(V0) | EXISTS V1: pppp24-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #32: input, references = 6, size of lhs = 5:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V1,V3), r1-{F}(V3,V4), p2-{F}(V3) | p2-{T}(V2), pppp46-{T}(V2), p2-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #33: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp46-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #34: input, references = 10, size of lhs = 3:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V1) | p2-{T}(V2), pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #35: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp47-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #36: input, references = 5, size of lhs = 4:
% 2.42/2.61     pppp28-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2) | pppp48-{T}(V1), p2-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #37: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp48-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #38: input, references = 4, size of lhs = 2:
% 2.42/2.61     pppp28-{F}(V0,V1), p2-{F}(V1) | EXISTS V2: pppp15-{T}(V2,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #39: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp28-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #40: input, references = 7, size of lhs = 2:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1) | p2-{T}(V1), pppp49-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #41: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp49-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #42: input, references = 3, size of lhs = 4:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3) | p2-{T}(V3), pppp50-{T}(V3), pppp51-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #43: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp50-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #44: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp51-{F}(V0) | EXISTS V1: pppp20-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #45: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp26-{F}(V0,V1) | p2-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #46: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp26-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #47: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp26-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #48: input, references = 5, size of lhs = 2:
% 2.42/2.61     pppp25-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #49: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp25-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #50: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp24-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V2,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #51: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp24-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #52: input, references = 3, size of lhs = 4:
% 2.42/2.61     pppp23-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p2-{F}(V2) | p2-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #53: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp23-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #54: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp23-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #55: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp22-{F}(V0,V1) | p2-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #56: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #57: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp22-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #58: input, references = 5, size of lhs = 2:
% 2.42/2.61     pppp21-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #59: input, references = 5, size of lhs = 1:
% 2.42/2.61     pppp21-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #60: input, references = 3, size of lhs = 4:
% 2.42/2.61     pppp20-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p2-{F}(V2) | p2-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #61: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp20-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #62: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp20-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #63: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp19-{F}(V0,V1) | p2-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #64: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #65: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp19-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #66: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp18-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #67: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp18-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #68: input, references = 9, size of lhs = 1:
% 2.42/2.61     pppp17-{F}(V0,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #69: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V2,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #70: input, references = 9, size of lhs = 1:
% 2.42/2.61     pppp17-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #71: input, references = 6, size of lhs = 2:
% 2.42/2.61     pppp16-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #72: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp16-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #73: input, references = 6, size of lhs = 1:
% 2.42/2.61     pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #74: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp15-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #75: input, references = 7, size of lhs = 4:
% 2.42/2.61     pppp14-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2) | p2-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #76: input, references = 4, size of lhs = 2:
% 2.42/2.61     pppp14-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #77: input, references = 6, size of lhs = 1:
% 2.42/2.61     pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #78: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp13-{F}(V0,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #79: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #80: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp13-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #81: input, references = 4, size of lhs = 2:
% 2.42/2.61     pppp12-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #82: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp12-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #83: input, references = 4, size of lhs = 4:
% 2.42/2.61     pppp11-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2) | p2-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #84: input, references = 4, size of lhs = 2:
% 2.42/2.61     pppp11-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #85: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #86: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp10-{F}(V0,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #87: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #88: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #89: input, references = 4, size of lhs = 2:
% 2.42/2.61     pppp9-{F}(V0,V1), p2-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #90: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #91: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp8-{F}(V0,V1) | p1-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #92: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #93: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #94: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp7-{F}(V0,V1), p1-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #95: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp7-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #96: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp6-{F}(V0,V1), p1-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #97: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #98: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp5-{F}(V0,V1) | p2-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #99: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #100: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #101: input, references = 6, size of lhs = 2:
% 2.42/2.61     pppp4-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #102: input, references = 7, size of lhs = 1:
% 2.42/2.61     pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #103: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp3-{F}(V0,V1), p2-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #104: input, references = 4, size of lhs = 1:
% 2.42/2.61     pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #105: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp2-{F}(V0,V1) | p3-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #106: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #107: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #108: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp1-{F}(V0,V1), p3-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #109: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #110: input, references = 3, size of lhs = 2:
% 2.42/2.61     pppp0-{F}(V0,V1), p3-{F}(V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #111: input, references = 3, size of lhs = 1:
% 2.42/2.61     pppp0-{F}(V0,V1) | r1-{T}(V0,V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  number of initial rules = 112
% 2.42/2.61  
% 2.42/2.61  Simplifiers:
% 2.42/2.61  #112: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #113: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #114: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #115: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #116: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #117: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #118: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #119: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #120: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #121: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #122: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #123: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #124: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #125: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #126: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #127: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #128: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #129: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #130: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #131: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #132: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #133: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #134: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #135: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #136: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #137: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #138: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #139: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #140: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #141: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #142: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp25-{F}(V0,V1), pppp25-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #143: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #144: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #145: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp28-{F}(V0,V1), pppp28-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #146: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp29-{F}(V0,V1), pppp29-{F}(V0,V3), V1 == V3 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #147: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp29-{F}(V0,V1), pppp29-{F}(V2,V3), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #148: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp30-{F}(V0,V1), pppp30-{F}(V2,V1), V0 == V2 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #149: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #150: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp32-{F}(V0), pppp32-{F}(V1), V0 == V1 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #151: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #152: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #153: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp37-{F}(V0), pppp37-{F}(V1), V0 == V1 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #154: unsound, references = 3, size of lhs = 3:
% 2.42/2.61     pppp38-{F}(V0), pppp38-{F}(V1), V0 == V1 | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  number of simplifiers = 43
% 2.42/2.61  
% 2.42/2.61  Learnt:
% 2.42/2.61  #157: disj( #11, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp6-{F}(V2,V1) | pppp39-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #159: disj( #17, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp41-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #161: disj( #2, input ), references = 2, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1) | pppp33-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #168: exists( #79, #166 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp13-{F}(V1,V0), r1-{F}(V2,V0), pppp30-{F}(V2,V3) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #174: disj( #2, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp30-{F}(V1,V2) | pppp33-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #181: disj( #14, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp30-{F}(V1,V2) | pppp40-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #200: disj( #24, input, input ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp12-{F}(V4,V5), r1-{F}(V6,V3), pppp28-{F}(V7,V6) | pppp27-{T}(V3), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #201: disj( #24, input, input ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp12-{F}(V4,V5), r1-{F}(V6,V3), pppp28-{F}(V7,V6) | pppp27-{T}(V3), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #202: disj( #24, input, input ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp3-{F}(V5,V4), r1-{F}(V6,V3), pppp28-{F}(V7,V6) | pppp27-{T}(V3), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #212: disj( #40, input ), references = 7, size of lhs = 3:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1), pppp30-{F}(V1,V2) | pppp49-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #217: disj( #17, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp1-{F}(V2,V1) | pppp41-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #223: disj( #40, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1), pppp4-{F}(V2,V1) | pppp49-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #226: disj( #40, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2) | pppp49-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #227: disj( #40, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1) | pppp49-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #240: disj( #36, input ), references = 1, size of lhs = 5:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), pppp28-{F}(V4,V3) | pppp48-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #241: disj( #36, input ), references = 1, size of lhs = 5:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), pppp28-{F}(V4,V3) | pppp48-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #258: disj( #32, input, input ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), pppp28-{F}(V4,V3), r1-{F}(V3,V5), pppp30-{F}(V5,V6) | pppp46-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #259: disj( #32, input, input ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), pppp28-{F}(V4,V3), r1-{F}(V3,V5), pppp30-{F}(V5,V6) | pppp46-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #260: disj( #32, input, input ), references = 2, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp4-{F}(V2,V1), r1-{F}(V3,V0), pppp28-{F}(V4,V3), r1-{F}(V3,V5), pppp30-{F}(V5,V6) | pppp46-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #276: disj( #32, input, input ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), pppp28-{F}(V4,V3), r1-{F}(V3,V5), pppp4-{F}(V6,V5) | pppp46-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #277: disj( #32, input, input ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), pppp28-{F}(V4,V3), r1-{F}(V3,V5), pppp4-{F}(V6,V5) | pppp46-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #297: exists( #99, #295 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp5-{F}(V0,V1), r1-{F}(V2,V0), pppp30-{F}(V2,V3) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #301: exists( #15, #299 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp40-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #305: exists( #3, #303 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp33-{F}(V0), pppp31-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #308: mergings( V0 == V1; #306 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V0) | p2-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #311: disj( #14, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1) | pppp40-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #331: exists( #69, #328 ), references = 2, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp17-{F}(V1,V0), r1-{F}(V2,V0), pppp30-{F}(V2,V3) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #335: exists( #33, #333 ), references = 2, size of lhs = 2:
% 2.42/2.61     pppp46-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #346: disj( #34, input ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp12-{F}(V2,V3) | pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #347: disj( #34, input ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp3-{F}(V3,V2) | pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #348: disj( #34, input ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp4-{F}(V3,V2) | pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #362: exists( #35, #359 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp47-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #364: disj( #34, exists( #35, #359 ) ), references = 2, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp30-{F}(V2,V3) | p2-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #382: exists( #99, #380 ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), pppp5-{F}(V0,V1), r1-{F}(V2,V0), pppp28-{F}(V3,V2), r1-{F}(V2,V4), pppp30-{F}(V4,V5), pppp30-{F}(V4,V6) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #386: exists( #15, #384 ), references = 1, size of lhs = 5:
% 2.42/2.61     pppp40-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp30-{F}(V2,V3), pppp30-{F}(V2,V4) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #389: exists( #3, #387 ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp33-{F}(V0), pppp40-{F}(V0), pppp28-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #391: disj( #14, exists( #3, #387 ) ), references = 1, size of lhs = 4:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp33-{F}(V1), pppp28-{F}(V2,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #395: exists( #3, #393 ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp33-{F}(V0), p2-{F}(V0), pppp28-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #400: mergings( V3 == V4, V0 == V2; #397 ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp28-{F}(V2,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #409: disj( #34, input ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp14-{F}(V3,V2) | pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #411: disj( #36, input ), references = 1, size of lhs = 5:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1), r1-{F}(V3,V0), pppp28-{F}(V4,V3) | pppp48-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #423: disj( #32, input, input ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1), r1-{F}(V3,V0), pppp28-{F}(V4,V3), r1-{F}(V3,V5), pppp14-{F}(V6,V5) | pppp46-{T}(V5)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #439: exists( #69, #436 ), references = 2, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp17-{F}(V1,V0), r1-{F}(V2,V0), pppp14-{F}(V3,V2) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #443: exists( #33, #441 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp46-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #447: exists( #73, #445 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V0), pppp15-{F}(V0,V1), pppp28-{F}(V2,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #455: disj( #2, input ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1) | pppp33-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #503: exists( #99, #500 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp5-{F}(V0,V1), r1-{F}(V2,V0), pppp14-{F}(V3,V2) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #507: exists( #15, #505 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp40-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #509: disj( #14, exists( #15, #505 ) ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #513: exists( #73, #511 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp31-{F}(V0), pppp15-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #542: exists( #56, #539 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp22-{F}(V0,V1), r1-{F}(V2,V0), pppp30-{F}(V2,V3) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #546: exists( #41, #544 ), references = 6, size of lhs = 2:
% 2.42/2.61     pppp49-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #551: disj( #28, #212+#545, input ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp30-{F}(V4,V5), pppp30-{F}(V4,V6), r1-{F}(V7,V3), pppp28-{F}(V8,V7) | pppp44-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #552: disj( #28, #212+#545, input ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp30-{F}(V4,V5), pppp30-{F}(V4,V6), r1-{F}(V7,V3), pppp28-{F}(V8,V7) | pppp44-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #553: disj( #28, #212+#545, input ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp4-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp30-{F}(V4,V5), pppp30-{F}(V4,V6), r1-{F}(V7,V3), pppp28-{F}(V8,V7) | pppp44-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #558: disj( #24, #212+#546, input ), references = 1, size of lhs = 10:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), r1-{F}(V3,V5), pppp30-{F}(V5,V6), pppp30-{F}(V5,V7), r1-{F}(V8,V3), pppp28-{F}(V9,V8) | p2-{T}(V4), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #559: disj( #24, #212+#546, input ), references = 1, size of lhs = 10:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), r1-{F}(V3,V5), pppp30-{F}(V5,V6), pppp30-{F}(V5,V7), r1-{F}(V8,V3), pppp28-{F}(V9,V8) | p2-{T}(V4), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #560: disj( #24, #212+#546, input ), references = 1, size of lhs = 10:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp4-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), r1-{F}(V3,V5), pppp30-{F}(V5,V6), pppp30-{F}(V5,V7), r1-{F}(V8,V3), pppp28-{F}(V9,V8) | p2-{T}(V4), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #562: disj( #555, input ), references = 1, size of lhs = 11:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), r1-{F}(V3,V5), pppp30-{F}(V5,V6), pppp30-{F}(V5,V7), pppp30-{F}(V4,V8), r1-{F}(V9,V3), pppp28-{F}(V10,V9) | pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #578: mergings( V7 == V6, V5 == V3; #567 ), references = 1, size of lhs = 7:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V1), r1-{F}(V4,V3), pppp28-{F}(V5,V4) | pppp27-{T}(V3), pppp42-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #579: disj( #24, input, input ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp3-{F}(V5,V4), r1-{F}(V6,V3), pppp28-{F}(V7,V6) | pppp27-{T}(V3), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #580: disj( #24, input, input ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp3-{F}(V2,V1), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp12-{F}(V4,V5), r1-{F}(V6,V3), pppp28-{F}(V7,V6) | pppp27-{T}(V3), pppp42-{T}(V4)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #597: exists( #46, #593 ), references = 2, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp26-{F}(V0,V1), r1-{F}(V2,V0), pppp30-{F}(V2,V3) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #601: exists( #25, #599 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp42-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #614: disj( #34, input ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp16-{F}(V2,V3) | pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #618: disj( #28, #212+#546, input ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp30-{F}(V4,V5), pppp30-{F}(V4,V6), r1-{F}(V7,V3), pppp28-{F}(V8,V7) | pppp44-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #622: disj( #24, input, exists( #25, #599 ) ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V2,V3), pppp14-{F}(V4,V3), pppp30-{F}(V3,V5), r1-{F}(V6,V2), pppp28-{F}(V7,V6) | pppp27-{T}(V2), p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #623: disj( #24, input, exists( #25, #599 ) ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V2,V3), pppp30-{F}(V3,V4), pppp30-{F}(V3,V5), r1-{F}(V6,V2), pppp28-{F}(V7,V6) | pppp27-{T}(V2), p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #625: disj( #620, input ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp16-{F}(V1,V2), r1-{F}(V3,V0), r1-{F}(V3,V4), pppp14-{F}(V5,V4), pppp30-{F}(V4,V6), r1-{F}(V7,V3), pppp28-{F}(V8,V7) | pppp27-{T}(V3)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #630: exists( #69, #628 ), references = 2, size of lhs = 11:
% 2.42/2.61     p2-{F}(V0), pppp17-{F}(V1,V0), r1-{F}(V2,V0), r1-{F}(V2,V3), pppp14-{F}(V4,V3), pppp30-{F}(V3,V5), r1-{F}(V2,V6), pppp30-{F}(V6,V7), pppp30-{F}(V6,V8), r1-{F}(V9,V2), pppp28-{F}(V10,V9) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #641: exists( #35, #639 ), references = 1, size of lhs = 9:
% 2.42/2.61     pppp47-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1), pppp30-{F}(V1,V3), r1-{F}(V0,V4), pppp30-{F}(V4,V5), pppp30-{F}(V4,V6), r1-{F}(V7,V0), pppp28-{F}(V8,V7) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #645: mergings( V0 == V10, V1 == V9; #642 ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp14-{F}(V3,V2), pppp30-{F}(V2,V4), r1-{F}(V1,V5), pppp30-{F}(V5,V6), pppp30-{F}(V5,V7), pppp28-{F}(V8,V0) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #648: disj( #30, #212+#546 ), references = 1, size of lhs = 6:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp30-{F}(V1,V2), pppp30-{F}(V1,V3), r1-{F}(V4,V0), pppp28-{F}(V5,V4) | pppp45-{T}(V0)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #660: disj( #34, input ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0), r1-{F}(V0,V2), pppp23-{F}(V2,V3) | pppp47-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #666: exists( #27, #663 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp43-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #668: disj( #26, #212+#546, exists( #27, #663 ) ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), pppp30-{F}(V2,V3), pppp30-{F}(V2,V4), pppp30-{F}(V1,V5), r1-{F}(V6,V0), pppp28-{F}(V7,V6) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #684: exists( #35, #682 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp47-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #715: exists( #46, #711 ), references = 2, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp26-{F}(V0,V1), r1-{F}(V2,V0), pppp14-{F}(V3,V2) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #719: exists( #25, #717 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp42-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #721: disj( #24, input, exists( #25, #717 ) ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V2,V3), pppp14-{F}(V4,V3), pppp14-{F}(V5,V3), r1-{F}(V6,V2), pppp28-{F}(V7,V6) | pppp27-{T}(V2), p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #725: disj( #40, input ), references = 2, size of lhs = 3:
% 2.42/2.61     pppp27-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1) | pppp49-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #747: exists( #56, #744 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp22-{F}(V0,V1), r1-{F}(V2,V0), pppp14-{F}(V3,V2) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #751: exists( #41, #749 ), references = 2, size of lhs = 2:
% 2.42/2.61     pppp49-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #754: disj( #720, #724+#750 ), references = 2, size of lhs = 11:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V2,V0), r1-{F}(V2,V3), pppp14-{F}(V4,V3), pppp14-{F}(V5,V3), r1-{F}(V2,V6), pppp14-{F}(V7,V6), pppp14-{F}(V8,V6), r1-{F}(V9,V2), pppp28-{F}(V10,V9) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #772: exists( #69, #769 ), references = 2, size of lhs = 11:
% 2.42/2.61     p2-{F}(V0), pppp17-{F}(V1,V0), r1-{F}(V2,V0), r1-{F}(V2,V3), pppp14-{F}(V4,V3), pppp14-{F}(V5,V3), r1-{F}(V2,V6), pppp14-{F}(V7,V6), pppp14-{F}(V8,V6), r1-{F}(V9,V2), pppp28-{F}(V10,V9) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #777: exists( #35, #775 ), references = 1, size of lhs = 9:
% 2.42/2.61     pppp47-{F}(V0), r1-{F}(V0,V1), pppp14-{F}(V2,V1), pppp14-{F}(V3,V1), r1-{F}(V0,V4), pppp14-{F}(V5,V4), pppp14-{F}(V6,V4), r1-{F}(V7,V0), pppp28-{F}(V8,V7) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #781: mergings( V0 == V10, V1 == V9; #778 ), references = 1, size of lhs = 9:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp14-{F}(V3,V2), pppp14-{F}(V4,V2), r1-{F}(V1,V5), pppp14-{F}(V6,V5), pppp14-{F}(V7,V5), pppp28-{F}(V8,V0) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #784: disj( #26, #725+#751, input ), references = 1, size of lhs = 8:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), pppp14-{F}(V3,V2), pppp14-{F}(V4,V2), pppp14-{F}(V5,V1), r1-{F}(V6,V0), pppp28-{F}(V7,V6) | pppp43-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #790: exists( #27, #788 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp43-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #799: mergings( V4 == V6, V3 == V5, V6 == V8, V5 == V7; #794 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), r1-{F}(V0,V1), pppp15-{F}(V1,V2), pppp28-{F}(V3,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #805: mergings( V0 == V3, V3 == V4, V4 == V5; #801 ), references = 1, size of lhs = 2:
% 2.42/2.61     p2-{F}(V0), pppp28-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #810: exists( #10, #808 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp38-{F}(V0), pppp31-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #831: exists( #99, #827 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp5-{F}(V0,V1), r1-{F}(V2,V0), pppp11-{F}(V3,V2) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #835: exists( #15, #833 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp40-{F}(V0), pppp11-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #837: disj( #14, exists( #15, #833 ) ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V2,V1) | p2-{T}(V1)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #841: exists( #9, #839 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp37-{F}(V0), pppp31-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #843: disj( #7, exists( #9, #839 ), exists( #10, #808 ) ), references = 2, size of lhs = 3:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2), pppp36-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #847: disj( #843, input ), references = 1, size of lhs = 4:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp30-{F}(V2,V3) | pppp36-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #848: disj( #843, input ), references = 1, size of lhs = 4:
% 2.42/2.61     pppp31-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp12-{F}(V2,V3) | pppp36-{T}(V2)
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #865: exists( #87, #863 ), references = 1, size of lhs = 4:
% 2.42/2.61     p2-{F}(V0), pppp10-{F}(V1,V0), r1-{F}(V2,V0), pppp30-{F}(V2,V3) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #869: exists( #8, #867 ), references = 1, size of lhs = 2:
% 2.42/2.61     pppp36-{F}(V0), pppp30-{F}(V0,V1) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #873: exists( #3, #871 ), references = 1, size of lhs = 3:
% 2.42/2.61     pppp33-{F}(V0), pppp31-{F}(V1), r1-{F}(V1,V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #877: exists( #16, #875 ), references = 1, size of lhs = 1:
% 2.42/2.61     pppp31-{F}(V0) | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  #880: exists( #0, #878 ), references = 1, size of lhs = 0:
% 2.42/2.61     FALSE | FALSE
% 2.42/2.61        (used 0 times, uses = {})
% 2.42/2.61  
% 2.42/2.61  number of learnt formulas = 104
% 2.42/2.61  
% 2.42/2.61  
% 2.42/2.61  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.42/2.61  
% 2.42/2.61  randbase = 1
%------------------------------------------------------------------------------