TSTP Solution File: SYO578+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 06:26:27 EDT 2022

% Result   : Theorem 0.46s 0.63s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Jul 23 01:08:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.46/0.63  GeoParameters:
% 0.46/0.63  
% 0.46/0.63  tptp_input =     1
% 0.46/0.63  tptp_output =    0
% 0.46/0.63  nonempty =       1
% 0.46/0.63  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63  
% 0.46/0.63  RuleSystem INPUT:
% 0.46/0.63  
% 0.46/0.63  Initial Rules:
% 0.46/0.63  #0: input, references = 3, size of lhs = 1:
% 0.46/0.63     k04_buttercup10620-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #1: input, references = 4, size of lhs = 1:
% 0.46/0.63     k04_buttercup10622-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #2: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10102-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #3: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10104-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #4: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10107-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #5: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10108-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #6: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10109-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #7: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10110-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #8: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10111-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #9: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10104-{F}(V0), k04_buttercup10100-{F}(V1), k04_buttercup10100-{F}(V2), b48_buttercup10104-{F}(V2) | pppp5-{T}(), k04_buttercup10100-{T}(V0), b48_buttercup10104-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #10: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10104-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10104-{F}(V1) | pppp5-{T}(), k04_buttercup10100-{T}(V0), pppp65-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #11: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp65-{F}() | EXISTS V0: pppp4-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #12: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10100-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10104-{F}(V1) | pppp5-{T}(), pppp66-{T}(), b48_buttercup10104-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #13: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp66-{F}() | EXISTS V0: pppp3-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #14: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10100-{F}(V0), b48_buttercup10104-{F}(V0) | pppp5-{T}(), pppp67-{T}(), pppp68-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #15: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp67-{F}() | EXISTS V0: pppp3-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #16: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp68-{F}() | EXISTS V0: pppp4-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #17: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp5-{F}() | EXISTS V0: pppp2-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #18: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp5-{F}() | EXISTS V0: pppp1-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #19: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp5-{F}() | EXISTS V0: pppp0-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #20: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp4-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #21: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp4-{F}(V0) | b48_buttercup10104-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #22: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp3-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #23: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp3-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #24: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp2-{F}(V0) | b48_buttercup10104-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #25: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp2-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #26: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp1-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #27: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp1-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #28: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp0-{F}(V0) | b48_buttercup10104-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #29: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp0-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #30: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10109-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #31: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #32: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp6-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #33: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp6-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #34: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10111-{F}(V0), k04_buttercup10619-{F}(V1), k04_buttercup10619-{F}(V2), b48_buttercup10111-{F}(V2) | pppp12-{T}(), k04_buttercup10619-{T}(V0), b48_buttercup10111-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #35: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10111-{F}(V0), k04_buttercup10619-{F}(V1), b48_buttercup10111-{F}(V1) | pppp12-{T}(), k04_buttercup10619-{T}(V0), pppp69-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #36: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp69-{F}() | EXISTS V0: pppp11-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #37: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10619-{F}(V0), k04_buttercup10619-{F}(V1), b48_buttercup10111-{F}(V1) | pppp12-{T}(), pppp70-{T}(), b48_buttercup10111-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #38: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp70-{F}() | EXISTS V0: pppp10-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #39: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10619-{F}(V0), b48_buttercup10111-{F}(V0) | pppp12-{T}(), pppp71-{T}(), pppp72-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #40: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp71-{F}() | EXISTS V0: pppp10-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #41: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp72-{F}() | EXISTS V0: pppp11-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #42: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp12-{F}() | EXISTS V0: pppp9-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #43: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp12-{F}() | EXISTS V0: pppp8-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #44: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp12-{F}() | EXISTS V0: pppp7-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #45: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp11-{F}(V0), k04_buttercup10619-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #46: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp11-{F}(V0) | b48_buttercup10111-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #47: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp10-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #48: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp10-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #49: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp9-{F}(V0) | b48_buttercup10111-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #50: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp9-{F}(V0), k04_buttercup10619-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #51: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp8-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #52: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp8-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #53: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp7-{F}(V0) | b48_buttercup10111-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #54: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp7-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #55: input, references = 4, size of lhs = 1:
% 0.46/0.63     k04_buttercup10619-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #56: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp13-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #57: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp13-{F}(V0), k04_buttercup10619-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #58: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp13-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #59: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10109-{F}(V0), k04_buttercup10619-{F}(V1), k04_buttercup10619-{F}(V2), b48_buttercup10109-{F}(V2) | pppp19-{T}(), k04_buttercup10619-{T}(V0), b48_buttercup10109-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #60: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10109-{F}(V0), k04_buttercup10619-{F}(V1), b48_buttercup10109-{F}(V1) | pppp19-{T}(), k04_buttercup10619-{T}(V0), pppp73-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #61: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp73-{F}() | EXISTS V0: pppp18-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #62: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10619-{F}(V0), k04_buttercup10619-{F}(V1), b48_buttercup10109-{F}(V1) | pppp19-{T}(), pppp74-{T}(), b48_buttercup10109-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #63: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp74-{F}() | EXISTS V0: pppp17-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #64: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10619-{F}(V0), b48_buttercup10109-{F}(V0) | pppp19-{T}(), pppp75-{T}(), pppp76-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #65: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp75-{F}() | EXISTS V0: pppp17-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #66: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp76-{F}() | EXISTS V0: pppp18-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #67: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp19-{F}() | EXISTS V0: pppp16-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #68: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp19-{F}() | EXISTS V0: pppp15-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #69: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp19-{F}() | EXISTS V0: pppp14-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #70: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp18-{F}(V0), k04_buttercup10619-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #71: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp18-{F}(V0) | b48_buttercup10109-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #72: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp17-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #73: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp17-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #74: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp16-{F}(V0) | b48_buttercup10109-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #75: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp16-{F}(V0), k04_buttercup10619-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #76: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp15-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #77: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp15-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #78: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp14-{F}(V0) | b48_buttercup10109-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #79: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp14-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #80: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10111-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #81: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp20-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #82: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp20-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #83: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp20-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #84: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10108-{F}(V0), k04_buttercup10100-{F}(V1), k04_buttercup10100-{F}(V2), b48_buttercup10108-{F}(V2) | pppp26-{T}(), k04_buttercup10100-{T}(V0), b48_buttercup10108-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #85: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10108-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10108-{F}(V1) | pppp26-{T}(), k04_buttercup10100-{T}(V0), pppp77-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #86: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp77-{F}() | EXISTS V0: pppp25-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #87: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10100-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10108-{F}(V1) | pppp26-{T}(), pppp78-{T}(), b48_buttercup10108-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #88: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp78-{F}() | EXISTS V0: pppp24-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #89: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10100-{F}(V0), b48_buttercup10108-{F}(V0) | pppp26-{T}(), pppp79-{T}(), pppp80-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #90: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp79-{F}() | EXISTS V0: pppp24-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #91: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp80-{F}() | EXISTS V0: pppp25-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #92: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp26-{F}() | EXISTS V0: pppp23-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #93: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp26-{F}() | EXISTS V0: pppp22-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #94: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp26-{F}() | EXISTS V0: pppp21-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #95: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp25-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #96: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp25-{F}(V0) | b48_buttercup10108-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #97: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp24-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #98: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp24-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #99: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp23-{F}(V0) | b48_buttercup10108-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #100: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp23-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #101: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp22-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #102: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp22-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #103: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp21-{F}(V0) | b48_buttercup10108-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #104: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp21-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #105: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10110-{F}(V0), k04_buttercup10100-{F}(V1), k04_buttercup10100-{F}(V2), b48_buttercup10110-{F}(V2) | pppp32-{T}(), k04_buttercup10100-{T}(V0), b48_buttercup10110-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #106: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10110-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10110-{F}(V1) | pppp32-{T}(), k04_buttercup10100-{T}(V0), pppp81-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #107: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp81-{F}() | EXISTS V0: pppp31-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #108: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10100-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10110-{F}(V1) | pppp32-{T}(), pppp82-{T}(), b48_buttercup10110-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #109: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp82-{F}() | EXISTS V0: pppp30-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #110: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10100-{F}(V0), b48_buttercup10110-{F}(V0) | pppp32-{T}(), pppp83-{T}(), pppp84-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #111: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp83-{F}() | EXISTS V0: pppp30-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #112: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp84-{F}() | EXISTS V0: pppp31-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #113: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp32-{F}() | EXISTS V0: pppp29-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #114: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp32-{F}() | EXISTS V0: pppp28-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #115: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp32-{F}() | EXISTS V0: pppp27-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #116: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp31-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #117: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp31-{F}(V0) | b48_buttercup10110-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #118: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp30-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #119: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp30-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #120: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp29-{F}(V0) | b48_buttercup10110-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #121: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp29-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #122: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp28-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #123: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp28-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #124: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp27-{F}(V0) | b48_buttercup10110-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #125: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp27-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #126: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10104-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #127: input, references = 4, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp33-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #128: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp33-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #129: input, references = 4, size of lhs = 1:
% 0.46/0.63     pppp33-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #130: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10110-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #131: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp34-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #132: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp34-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #133: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp34-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #134: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10108-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #135: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp35-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #136: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp35-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #137: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp35-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #138: input, references = 4, size of lhs = 1:
% 0.46/0.63     k04_buttercup10100-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #139: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp36-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #140: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp36-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #141: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp36-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #142: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10102-{F}(V0), k04_buttercup10100-{F}(V1), k04_buttercup10100-{F}(V2), b48_buttercup10102-{F}(V2) | pppp42-{T}(), k04_buttercup10100-{T}(V0), b48_buttercup10102-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #143: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10102-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10102-{F}(V1) | pppp42-{T}(), k04_buttercup10100-{T}(V0), pppp85-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #144: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp85-{F}() | EXISTS V0: pppp41-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #145: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10100-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10102-{F}(V1) | pppp42-{T}(), pppp86-{T}(), b48_buttercup10102-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #146: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp86-{F}() | EXISTS V0: pppp40-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #147: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10100-{F}(V0), b48_buttercup10102-{F}(V0) | pppp42-{T}(), pppp87-{T}(), pppp88-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #148: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp87-{F}() | EXISTS V0: pppp40-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #149: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp88-{F}() | EXISTS V0: pppp41-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #150: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp42-{F}() | EXISTS V0: pppp39-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #151: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp42-{F}() | EXISTS V0: pppp38-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #152: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp42-{F}() | EXISTS V0: pppp37-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #153: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp41-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #154: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp41-{F}(V0) | b48_buttercup10102-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #155: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp40-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #156: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp40-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #157: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp39-{F}(V0) | b48_buttercup10102-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #158: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp39-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #159: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp38-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #160: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp38-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #161: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp37-{F}(V0) | b48_buttercup10102-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #162: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp37-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #163: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10102-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #164: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp43-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #165: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp43-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #166: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp43-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #167: input, references = 3, size of lhs = 1:
% 0.46/0.63     k04_buttercup10620-{F}(V0) | b48_buttercup10107-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #168: input, references = 3, size of lhs = 1:
% 0.46/0.63     b48_buttercup10107-{F}(V0) | k04_buttercup10620-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #169: input, references = 3, size of lhs = 4:
% 0.46/0.63     b48_buttercup10107-{F}(V0), k04_buttercup10100-{F}(V1), k04_buttercup10100-{F}(V2), b48_buttercup10107-{F}(V2) | pppp49-{T}(), k04_buttercup10100-{T}(V0), b48_buttercup10107-{T}(V1)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #170: input, references = 3, size of lhs = 3:
% 0.46/0.63     b48_buttercup10107-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10107-{F}(V1) | pppp49-{T}(), k04_buttercup10100-{T}(V0), pppp89-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #171: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp89-{F}() | EXISTS V0: pppp48-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #172: input, references = 3, size of lhs = 3:
% 0.46/0.63     k04_buttercup10100-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10107-{F}(V1) | pppp49-{T}(), pppp90-{T}(), b48_buttercup10107-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #173: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp90-{F}() | EXISTS V0: pppp47-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #174: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10100-{F}(V0), b48_buttercup10107-{F}(V0) | pppp49-{T}(), pppp91-{T}(), pppp92-{T}()
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #175: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp91-{F}() | EXISTS V0: pppp47-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #176: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp92-{F}() | EXISTS V0: pppp48-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #177: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp49-{F}() | EXISTS V0: pppp46-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #178: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp49-{F}() | EXISTS V0: pppp45-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #179: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp49-{F}() | EXISTS V0: pppp44-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #180: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp48-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #181: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp48-{F}(V0) | b48_buttercup10107-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #182: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp47-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #183: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp47-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #184: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp46-{F}(V0) | b48_buttercup10107-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #185: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp46-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #186: input, references = 3, size of lhs = 2:
% 0.46/0.63     pppp45-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #187: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp45-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #188: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp44-{F}(V0) | b48_buttercup10107-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #189: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp44-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #190: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp50-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #191: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp50-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #192: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp51-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #193: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp51-{F}(V0) | k04_buttercup10619-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #194: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp52-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #195: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp52-{F}(V0) | k04_buttercup10620-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #196: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp53-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #197: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp53-{F}(V0) | k04_buttercup10622-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #198: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp54-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #199: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp54-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #200: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp55-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #201: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp55-{F}(V0) | b48_buttercup10111-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #202: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp56-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #203: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp56-{F}(V0) | b48_buttercup10110-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #204: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp57-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #205: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp57-{F}(V0) | b48_buttercup10102-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #206: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp58-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #207: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp58-{F}(V0) | b48_buttercup10104-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #208: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp59-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #209: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp59-{F}(V0) | b48_buttercup10107-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #210: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp60-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #211: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp60-{F}(V0) | b48_buttercup10108-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #212: input, references = 3, size of lhs = 0:
% 0.46/0.63     FALSE | EXISTS V0: pppp61-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #213: input, references = 3, size of lhs = 1:
% 0.46/0.63     pppp61-{F}(V0) | b48_buttercup10109-{T}(V0)
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #214: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10100-{F}(V0), k04_buttercup10619-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #215: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10620-{F}(V0), k04_buttercup10622-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #216: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10622-{F}(V0), k04_buttercup10620-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #217: input, references = 3, size of lhs = 2:
% 0.46/0.63     k04_buttercup10619-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #218: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10102-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #219: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10102-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #220: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10102-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #221: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10102-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #222: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10102-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #223: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10102-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #224: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10104-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #225: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10104-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #226: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10104-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #227: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10104-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #228: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10104-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #229: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10104-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #230: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10107-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #231: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10107-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.63  
% 0.46/0.63  #232: input, references = 3, size of lhs = 2:
% 0.46/0.63     b48_buttercup10107-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.63        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #233: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10107-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #234: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10107-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #235: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10107-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #236: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10108-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #237: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10108-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #238: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10108-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #239: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10108-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #240: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10108-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #241: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10108-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #242: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10109-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #243: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10109-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #244: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10109-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #245: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10109-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #246: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10109-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #247: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10109-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #248: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10110-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #249: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10110-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #250: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10110-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #251: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10110-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #252: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10110-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #253: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10110-{F}(V0), b48_buttercup10111-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #254: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10111-{F}(V0), b48_buttercup10102-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #255: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10111-{F}(V0), b48_buttercup10104-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #256: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10111-{F}(V0), b48_buttercup10107-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #257: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10111-{F}(V0), b48_buttercup10108-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #258: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10111-{F}(V0), b48_buttercup10109-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #259: input, references = 3, size of lhs = 2:
% 0.46/0.64     b48_buttercup10111-{F}(V0), b48_buttercup10110-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #260: input, references = 3, size of lhs = 1:
% 0.46/0.64     k04_buttercup10619-{F}(V0) | k04_buttercup10620-{T}(V0), k04_buttercup10622-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #261: input, references = 3, size of lhs = 1:
% 0.46/0.64     b48_buttercup10098-{F}(V0) | b48_buttercup10102-{T}(V0), b48_buttercup10104-{T}(V0), b48_buttercup10107-{T}(V0), b48_buttercup10108-{T}(V0), b48_buttercup10109-{T}(V0), b48_buttercup10110-{T}(V0), b48_buttercup10111-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #262: input, references = 3, size of lhs = 1:
% 0.46/0.64     k04_buttercup10100-{F}(V0) | pppp93-{T}(), b48_buttercup10098-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #263: input, references = 3, size of lhs = 1:
% 0.46/0.64     pppp93-{F}() | EXISTS V0: pppp62-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #264: input, references = 4, size of lhs = 1:
% 0.46/0.64     b48_buttercup10098-{F}(V0) | pppp94-{T}(), k04_buttercup10100-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #265: input, references = 4, size of lhs = 1:
% 0.46/0.64     pppp94-{F}() | EXISTS V0: pppp63-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #266: input, references = 3, size of lhs = 4:
% 0.46/0.64     k04_buttercup10100-{F}(V0), b48_buttercup10098-{F}(V0), k04_buttercup10100-{F}(V1), b48_buttercup10098-{F}(V2) | b48_buttercup10098-{T}(V1), k04_buttercup10100-{T}(V2)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #267: input, references = 3, size of lhs = 0:
% 0.46/0.64     FALSE | EXISTS V0: pppp64-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #268: input, references = 3, size of lhs = 1:
% 0.46/0.64     pppp64-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #269: input, references = 3, size of lhs = 1:
% 0.46/0.64     pppp64-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #270: input, references = 4, size of lhs = 2:
% 0.46/0.64     pppp63-{F}(V0), b48_buttercup10098-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #271: input, references = 4, size of lhs = 1:
% 0.46/0.64     pppp63-{F}(V0) | k04_buttercup10100-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #272: input, references = 3, size of lhs = 2:
% 0.46/0.64     pppp62-{F}(V0), k04_buttercup10100-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #273: input, references = 3, size of lhs = 1:
% 0.46/0.64     pppp62-{F}(V0) | b48_buttercup10098-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  number of initial rules = 274
% 0.46/0.64  
% 0.46/0.64  Simplifiers:
% 0.46/0.64  #274: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #275: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #276: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #277: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #278: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #279: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #280: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #281: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #282: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #283: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #284: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #285: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #286: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #287: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #288: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #289: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #290: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #291: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #292: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #293: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #294: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #295: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #296: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #297: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #298: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #299: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #300: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #301: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #302: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #303: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #304: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #305: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp36-{F}(V0), pppp36-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #306: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp37-{F}(V0), pppp37-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #307: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp38-{F}(V0), pppp38-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #308: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp39-{F}(V0), pppp39-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #309: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp40-{F}(V0), pppp40-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #310: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp41-{F}(V0), pppp41-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #311: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp43-{F}(V0), pppp43-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #312: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp44-{F}(V0), pppp44-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #313: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp45-{F}(V0), pppp45-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #314: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp46-{F}(V0), pppp46-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #315: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp47-{F}(V0), pppp47-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #316: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp48-{F}(V0), pppp48-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #317: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp50-{F}(V0), pppp50-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #318: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp51-{F}(V0), pppp51-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #319: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp52-{F}(V0), pppp52-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #320: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp53-{F}(V0), pppp53-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #321: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp54-{F}(V0), pppp54-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #322: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp55-{F}(V0), pppp55-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #323: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp56-{F}(V0), pppp56-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #324: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp57-{F}(V0), pppp57-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #325: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp58-{F}(V0), pppp58-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #326: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp59-{F}(V0), pppp59-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #327: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp60-{F}(V0), pppp60-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #328: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp61-{F}(V0), pppp61-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #329: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp62-{F}(V0), pppp62-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #330: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp63-{F}(V0), pppp63-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #331: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     pppp64-{F}(V0), pppp64-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  number of simplifiers = 58
% 0.46/0.64  
% 0.46/0.64  Learnt:
% 0.46/0.64  #418: disj( #264, input ), references = 1, size of lhs = 2:
% 0.46/0.64     b48_buttercup10098-{F}(V0), k04_buttercup10619-{F}(V0) | pppp94-{T}()
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #489: exists( #265, #487 ), references = 1, size of lhs = 1:
% 0.46/0.64     pppp94-{F}() | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #495: exists( #127, #493 ), references = 1, size of lhs = 0:
% 0.46/0.64     FALSE | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  number of learnt formulas = 3
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64  
% 0.46/0.64  randbase = 1
%------------------------------------------------------------------------------