TSTP Solution File: SWC130-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWC130-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n021.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 06:20:05 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC130-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n021.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 : Fri Jul 22 12:38:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  GeoParameters:
% 0.19/0.51  
% 0.19/0.51  tptp_input =     1
% 0.19/0.51  tptp_output =    0
% 0.19/0.51  nonempty =       1
% 0.19/0.51  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  
% 0.19/0.51  RuleSystem INPUT:
% 0.19/0.51  
% 0.19/0.51  Initial Rules:
% 0.19/0.51  #0: input, references = 3, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | equalelemsP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #1: input, references = 3, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | duplicatefreeP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #2: input, references = 3, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | strictorderedP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #3: input, references = 3, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | totalorderedP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #4: input, references = 3, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | strictorderP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #5: input, references = 3, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | totalorderP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #6: input, references = 4, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | cyclefreeP-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #7: input, references = 4, size of lhs = 1:
% 0.19/0.51     P_nil-{F}(V0) | ssList-{T}(V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #8: input, references = 3, size of lhs = 2:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1) | ssItem-{T}(V1)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #9: input, references = 3, size of lhs = 3:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2) | ssItem-{T}(V2)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #10: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), singletonP-{F}(V0) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #11: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf83-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #12: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf82-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #13: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf81-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #14: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf80-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #15: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf79-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #16: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf78-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #17: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf77-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #18: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf76-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #19: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf75-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #20: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf74-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #21: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf73-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #22: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf72-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #23: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf71-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #24: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf70-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #25: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf69-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #26: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf68-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #27: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf67-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #28: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf66-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #29: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf65-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #30: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf64-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #31: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf63-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #32: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf62-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #33: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf61-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #34: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf60-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #35: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf59-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #36: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf58-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #37: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf57-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #38: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf56-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #39: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf55-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #40: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf54-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #41: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf53-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #42: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf52-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #43: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf51-{F}(V3,V4) | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #44: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf50-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #45: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf49-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #46: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf44-{F}(V3,V4) | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #47: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf48-{F}(V3,V4,V5) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #48: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf47-{F}(V3,V4,V5) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #49: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf46-{F}(V3,V4,V5) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #50: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf45-{F}(V3,V4,V5) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #51: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf43-{F}(V3,V4,V5) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #52: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf42-{F}(V3,V4,V5) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #53: input, references = 3, size of lhs = 3:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V2), P_skac2-{F}(V2) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #54: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3) | geq-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #55: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | segmentP-{T}(V3,V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #56: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | segmentP-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #57: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | rearsegP-{T}(V3,V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #58: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | rearsegP-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #59: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | frontsegP-{T}(V3,V0)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #60: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | frontsegP-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #61: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3) | leq-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #62: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), lt-{F}(V3,V3), ssItem-{F}(V3) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #63: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | equalelemsP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #64: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | duplicatefreeP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #65: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | strictorderedP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #66: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | totalorderedP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #67: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | strictorderP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #68: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | totalorderP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #69: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_cons-{F}(V3,V0,V4), ssItem-{F}(V3) | cyclefreeP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #70: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), memberP-{F}(V0,V3), ssItem-{F}(V3) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #71: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), #-{F} V3, ssList-{F}(V4) | ssItem-{T}(V3), duplicatefreeP-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #72: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_app-{F}(V3,V0,V4), ssList-{F}(V3), V4 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #73: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_app-{F}(V0,V3,V4), ssList-{F}(V3), V4 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #74: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_tl-{F}(V3,V4), ssList-{F}(V3), V0 == V3 | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #75: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), ssList-{F}(V3), V0 == V3 | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #76: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_tl-{F}(V3,V4), ssList-{F}(V3), V0 == V3 | ssList-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #77: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), ssList-{F}(V3), V0 == V3 | ssItem-{T}(V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #78: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V3), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | segmentP-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #79: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), segmentP-{F}(V0,V3), ssList-{F}(V3), V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #80: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V3), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | rearsegP-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #81: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), rearsegP-{F}(V0,V3), ssList-{F}(V3), V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #82: input, references = 3, size of lhs = 4:
% 0.19/0.51     P_nil-{F}(V3), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3) | frontsegP-{T}(V3,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #83: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), frontsegP-{F}(V0,V3), ssList-{F}(V3), V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #84: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_app-{F}(V3,V4,V5), ssList-{F}(V4) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #85: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), ssItem-{F}(V4) | ssList-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #86: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf50-{F}(V3,V4), P_skaf49-{F}(V3,V5), ssList-{F}(V3) | cyclefreeP-{T}(V3), leq-{T}(V4,V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #87: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf49-{F}(V3,V4), P_skaf50-{F}(V3,V5), ssList-{F}(V3) | cyclefreeP-{T}(V3), leq-{T}(V4,V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #88: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf79-{F}(V3,V5), P_skaf78-{F}(V3,V5), ssList-{F}(V3) | equalelemsP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #89: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf69-{F}(V3,V4), P_skaf70-{F}(V3,V5), lt-{F}(V4,V5), ssList-{F}(V3) | strictorderedP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #90: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf64-{F}(V3,V4), P_skaf65-{F}(V3,V5), leq-{F}(V4,V5), ssList-{F}(V3) | totalorderedP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #91: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf60-{F}(V3,V4), P_skaf59-{F}(V3,V5), lt-{F}(V4,V5), ssList-{F}(V3) | strictorderP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #92: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf59-{F}(V3,V4), P_skaf60-{F}(V3,V5), lt-{F}(V4,V5), ssList-{F}(V3) | strictorderP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #93: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf55-{F}(V3,V4), P_skaf54-{F}(V3,V5), leq-{F}(V4,V5), ssList-{F}(V3) | totalorderP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #94: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf54-{F}(V3,V4), P_skaf55-{F}(V3,V5), leq-{F}(V4,V5), ssList-{F}(V3) | totalorderP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #95: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), P_tl-{F}(V5,V6), ssItem-{F}(V4), V6 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #96: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), P_hd-{F}(V5,V6), ssItem-{F}(V4), V6 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #97: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V0), ssItem-{F}(V4) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #98: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V3), ssItem-{F}(V4) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #99: input, references = 4, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), V3 == V4 | neq-{T}(V3,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #100: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf44-{F}(V3,V4), P_cons-{F}(V4,V0,V5), singletonP-{F}(V3), ssList-{F}(V3), V5 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #101: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssItem-{F}(V4), V3 == V4 | neq-{T}(V3,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #102: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), lt-{F}(V4,V3), ssItem-{F}(V4) | leq-{T}(V4,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #103: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), P_tl-{F}(V3,V5), P_cons-{F}(V4,V5,V6), ssList-{F}(V3), V6 == V3, V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #104: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), gt-{F}(V4,V3), ssItem-{F}(V4) | lt-{T}(V3,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #105: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), lt-{F}(V4,V3), ssItem-{F}(V4) | gt-{T}(V3,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #106: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), geq-{F}(V4,V3), ssItem-{F}(V4) | leq-{T}(V3,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #107: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), leq-{F}(V4,V3), ssItem-{F}(V4) | geq-{T}(V3,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #108: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf83-{F}(V3,V4), P_skaf82-{F}(V3,V5), P_cons-{F}(V4,V5,V6), ssList-{F}(V3), V6 == V3, V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #109: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), gt-{F}(V4,V3), gt-{F}(V3,V4), ssItem-{F}(V4) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #110: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), lt-{F}(V3,V3) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #111: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V3), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), ssItem-{F}(V4) | strictorderedP-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #112: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V3), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), ssItem-{F}(V4) | totalorderedP-{T}(V5)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #113: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), lt-{F}(V4,V3), lt-{F}(V3,V4), ssItem-{F}(V4) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #114: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), neq-{F}(V3,V3) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #115: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V0,V3), ssItem-{F}(V4) | singletonP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #116: input, references = 3, size of lhs = 5:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), neq-{F}(V3,V3) | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #117: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_app-{F}(V3,V4,V0), ssList-{F}(V4), V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #118: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_app-{F}(V4,V3,V0), ssList-{F}(V4), V0 == V3 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #119: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V0,V5), P_app-{F}(V5,V3,V6), P_cons-{F}(V4,V3,V7), ssItem-{F}(V4), V6 == V7 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #120: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), leq-{F}(V4,V3), ssItem-{F}(V4), V4 == V3 | lt-{T}(V4,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #121: input, references = 3, size of lhs = 7:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), leq-{F}(V4,V3), ssItem-{F}(V4), V4 == V3 | lt-{T}(V4,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #122: input, references = 3, size of lhs = 10:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), ssList-{F}(V3), P_app-{F}(V3,V5,V6), P_hd-{F}(V6,V7), ssList-{F}(V5), V0 == V3, V7 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #123: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), strictorderedP-{F}(V5), ssItem-{F}(V4), V0 == V3 | strictorderedP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #124: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_cons-{F}(V4,V3,V5), totalorderedP-{F}(V5), ssItem-{F}(V4), V0 == V3 | totalorderedP-{T}(V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #125: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), geq-{F}(V4,V3), geq-{F}(V3,V4), ssItem-{F}(V4), V3 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #126: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), segmentP-{F}(V4,V3), segmentP-{F}(V3,V4), ssList-{F}(V4), V3 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #127: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), rearsegP-{F}(V4,V3), rearsegP-{F}(V3,V4), ssList-{F}(V4), V3 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #128: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), frontsegP-{F}(V4,V3), frontsegP-{F}(V3,V4), ssList-{F}(V4), V3 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #129: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), leq-{F}(V4,V3), leq-{F}(V3,V4), ssItem-{F}(V4), V3 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #130: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_skaf46-{F}(V4,V3,V5), P_app-{F}(V5,V3,V6), rearsegP-{F}(V4,V3), ssList-{F}(V4), V6 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #131: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_skaf45-{F}(V4,V3,V5), P_app-{F}(V3,V5,V6), frontsegP-{F}(V4,V3), ssList-{F}(V4), V6 == V4 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #132: input, references = 3, size of lhs = 11:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_tl-{F}(V3,V4), ssList-{F}(V3), P_app-{F}(V3,V5,V6), P_tl-{F}(V6,V7), P_app-{F}(V4,V5,V8), ssList-{F}(V5), V0 == V3, V7 == V8 | FALSE
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #133: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), ssList-{F}(V3), P_cons-{F}(V5,V3,V6), strictorderedP-{F}(V6), ssItem-{F}(V5), V0 == V3 | lt-{T}(V5,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #134: input, references = 3, size of lhs = 9:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), ssList-{F}(V3), P_cons-{F}(V5,V3,V6), totalorderedP-{F}(V6), ssItem-{F}(V5), V0 == V3 | leq-{T}(V5,V4)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #135: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), rearsegP-{F}(V4,V3), ssList-{F}(V4), P_app-{F}(V5,V4,V6), ssList-{F}(V5) | rearsegP-{T}(V6,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #136: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), frontsegP-{F}(V4,V3), ssList-{F}(V4), P_app-{F}(V4,V5,V6), ssList-{F}(V5) | frontsegP-{T}(V6,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #137: input, references = 3, size of lhs = 6:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), P_cons-{F}(V3,V5,V6), ssList-{F}(V5) | memberP-{T}(V6,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #138: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), memberP-{F}(V4,V3), ssList-{F}(V4), P_cons-{F}(V5,V4,V6), ssItem-{F}(V5) | memberP-{T}(V6,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #139: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), memberP-{F}(V4,V3), ssList-{F}(V4), P_app-{F}(V4,V5,V6), ssList-{F}(V5) | memberP-{T}(V6,V3)
% 0.19/0.51        (used 0 times, uses = {})
% 0.19/0.51  
% 0.19/0.51  #140: input, references = 3, size of lhs = 8:
% 0.19/0.51     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), memberP-{F}(V4,V3), ssList-{F}(V4), P_app-{F}(V5,V4,V6), ssList-{F}(V5) | memberP-{T}(V6,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #141: input, references = 3, size of lhs = 12:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf80-{F}(V3,V4), P_skaf78-{F}(V3,V5), P_skaf79-{F}(V3,V6), P_skaf81-{F}(V3,V7), P_cons-{F}(V6,V7,V8), P_cons-{F}(V5,V8,V9), P_app-{F}(V4,V9,V10), ssList-{F}(V3), V10 == V3 | equalelemsP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #142: input, references = 3, size of lhs = 7:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), P_app-{F}(V5,V4,V3), ssList-{F}(V5) | rearsegP-{T}(V3,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #143: input, references = 3, size of lhs = 7:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), P_app-{F}(V4,V5,V3), ssList-{F}(V5) | frontsegP-{T}(V3,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #144: input, references = 3, size of lhs = 6:
% 0.19/0.52     P_nil-{F}(V4), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V4), P_app-{F}(V4,V4,V5), V5 == V4 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #145: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), gt-{F}(V4,V3), ssItem-{F}(V4), gt-{F}(V5,V4), ssItem-{F}(V5) | gt-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #146: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), lt-{F}(V4,V3), ssItem-{F}(V4), leq-{F}(V5,V4), ssItem-{F}(V5) | lt-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #147: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), geq-{F}(V4,V3), ssItem-{F}(V4), geq-{F}(V5,V4), ssItem-{F}(V5) | geq-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #148: input, references = 3, size of lhs = 11:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_app-{F}(V3,V4,V5), ssList-{F}(V4), P_app-{F}(V5,V6,V7), P_app-{F}(V4,V6,V8), P_app-{F}(V3,V8,V9), ssList-{F}(V6), V7 == V9 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #149: input, references = 3, size of lhs = 9:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), P_app-{F}(V5,V4,V7), P_app-{F}(V5,V3,V7), ssList-{F}(V5), V4 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #150: input, references = 3, size of lhs = 9:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), P_app-{F}(V4,V5,V7), P_app-{F}(V3,V5,V7), ssList-{F}(V5), V4 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #151: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), segmentP-{F}(V4,V3), ssList-{F}(V4), segmentP-{F}(V5,V4), ssList-{F}(V5) | segmentP-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #152: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), rearsegP-{F}(V4,V3), ssList-{F}(V4), rearsegP-{F}(V5,V4), ssList-{F}(V5) | rearsegP-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #153: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), frontsegP-{F}(V4,V3), ssList-{F}(V4), frontsegP-{F}(V5,V4), ssList-{F}(V5) | frontsegP-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #154: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), lt-{F}(V4,V3), ssItem-{F}(V4), lt-{F}(V5,V4), ssItem-{F}(V5) | lt-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #155: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), leq-{F}(V4,V3), ssItem-{F}(V4), leq-{F}(V5,V4), ssItem-{F}(V5) | leq-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #156: input, references = 3, size of lhs = 11:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_app-{F}(V4,V3,V5), ssList-{F}(V4), P_cons-{F}(V6,V5,V7), P_cons-{F}(V6,V4,V8), P_app-{F}(V8,V3,V9), ssItem-{F}(V6), V7 == V9 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #157: input, references = 3, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssList-{F}(V4), P_app-{F}(V5,V4,V6), memberP-{F}(V6,V3), ssList-{F}(V5) | memberP-{T}(V4,V3), memberP-{T}(V5,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #158: input, references = 3, size of lhs = 10:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), totalorderedP-{F}(V3), ssList-{F}(V3), P_cons-{F}(V5,V3,V6), leq-{F}(V5,V4), ssItem-{F}(V5), V0 == V3 | totalorderedP-{T}(V6)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #159: input, references = 3, size of lhs = 10:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_hd-{F}(V3,V4), strictorderedP-{F}(V3), ssList-{F}(V3), P_cons-{F}(V5,V3,V6), lt-{F}(V5,V4), ssItem-{F}(V5), V0 == V3 | strictorderedP-{T}(V6)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #160: input, references = 3, size of lhs = 9:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssList-{F}(V4), P_cons-{F}(V5,V4,V6), memberP-{F}(V6,V3), ssItem-{F}(V5), V3 == V5 | memberP-{T}(V4,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #161: input, references = 3, size of lhs = 13:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf75-{F}(V3,V4), P_skaf74-{F}(V3,V5), P_skaf76-{F}(V3,V6), P_cons-{F}(V5,V6,V7), P_app-{F}(V4,V7,V8), P_skaf77-{F}(V3,V9), P_cons-{F}(V5,V9,V10), P_app-{F}(V8,V10,V11), ssList-{F}(V3), V11 == V3 | duplicatefreeP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #162: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf71-{F}(V3,V4), P_skaf69-{F}(V3,V5), P_skaf72-{F}(V3,V6), P_cons-{F}(V5,V6,V7), P_app-{F}(V4,V7,V8), P_skaf70-{F}(V3,V9), P_skaf73-{F}(V3,V10), P_cons-{F}(V9,V10,V11), P_app-{F}(V8,V11,V12), ssList-{F}(V3), V12 == V3 | strictorderedP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #163: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf66-{F}(V3,V4), P_skaf64-{F}(V3,V5), P_skaf67-{F}(V3,V6), P_cons-{F}(V5,V6,V7), P_app-{F}(V4,V7,V8), P_skaf65-{F}(V3,V9), P_skaf68-{F}(V3,V10), P_cons-{F}(V9,V10,V11), P_app-{F}(V8,V11,V12), ssList-{F}(V3), V12 == V3 | totalorderedP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #164: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf61-{F}(V3,V4), P_skaf59-{F}(V3,V5), P_skaf62-{F}(V3,V6), P_cons-{F}(V5,V6,V7), P_app-{F}(V4,V7,V8), P_skaf60-{F}(V3,V9), P_skaf63-{F}(V3,V10), P_cons-{F}(V9,V10,V11), P_app-{F}(V8,V11,V12), ssList-{F}(V3), V12 == V3 | strictorderP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #165: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf56-{F}(V3,V4), P_skaf54-{F}(V3,V5), P_skaf57-{F}(V3,V6), P_cons-{F}(V5,V6,V7), P_app-{F}(V4,V7,V8), P_skaf55-{F}(V3,V9), P_skaf58-{F}(V3,V10), P_cons-{F}(V9,V10,V11), P_app-{F}(V8,V11,V12), ssList-{F}(V3), V12 == V3 | totalorderP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #166: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_skaf51-{F}(V3,V4), P_skaf49-{F}(V3,V5), P_skaf52-{F}(V3,V6), P_cons-{F}(V5,V6,V7), P_app-{F}(V4,V7,V8), P_skaf50-{F}(V3,V9), P_skaf53-{F}(V3,V10), P_cons-{F}(V9,V10,V11), P_app-{F}(V8,V11,V12), ssList-{F}(V3), V12 == V3 | cyclefreeP-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #167: input, references = 3, size of lhs = 11:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), P_skaf47-{F}(V4,V3,V5), P_app-{F}(V5,V3,V6), P_skaf48-{F}(V3,V4,V7), P_app-{F}(V6,V7,V8), segmentP-{F}(V4,V3), ssList-{F}(V4), V8 == V4 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #168: input, references = 3, size of lhs = 11:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), P_skaf42-{F}(V4,V3,V5), P_skaf43-{F}(V3,V4,V6), P_cons-{F}(V3,V6,V7), P_app-{F}(V5,V7,V8), memberP-{F}(V4,V3), ssList-{F}(V4), V8 == V4 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #169: input, references = 3, size of lhs = 10:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssItem-{F}(V4), P_cons-{F}(V3,V5,V6), ssList-{F}(V5), P_cons-{F}(V4,V7,V6), ssList-{F}(V7), V4 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #170: input, references = 3, size of lhs = 10:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), P_cons-{F}(V5,V3,V6), ssItem-{F}(V5), P_cons-{F}(V7,V4,V6), ssItem-{F}(V7), V3 == V4 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #171: input, references = 3, size of lhs = 10:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), segmentP-{F}(V4,V3), ssList-{F}(V4), P_app-{F}(V5,V4,V6), ssList-{F}(V5), P_app-{F}(V6,V7,V8), ssList-{F}(V7) | segmentP-{T}(V8,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #172: input, references = 3, size of lhs = 9:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), ssList-{F}(V5), P_app-{F}(V6,V4,V7), P_app-{F}(V7,V5,V3), ssList-{F}(V6) | segmentP-{T}(V3,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #173: input, references = 3, size of lhs = 10:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssList-{F}(V4), P_cons-{F}(V5,V3,V6), ssItem-{F}(V5), P_cons-{F}(V7,V4,V8), frontsegP-{F}(V8,V6), ssItem-{F}(V7) | frontsegP-{T}(V4,V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #174: input, references = 3, size of lhs = 9:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssList-{F}(V3), ssItem-{F}(V4), P_cons-{F}(V4,V5,V6), ssList-{F}(V5), P_app-{F}(V7,V6,V3), ssList-{F}(V7) | memberP-{T}(V3,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #175: input, references = 3, size of lhs = 11:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssItem-{F}(V4), P_cons-{F}(V3,V5,V6), ssList-{F}(V5), P_cons-{F}(V4,V7,V8), frontsegP-{F}(V8,V6), ssList-{F}(V7), V4 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #176: input, references = 3, size of lhs = 12:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_tl-{F}(V3,V4), P_hd-{F}(V3,V5), ssList-{F}(V3), P_tl-{F}(V6,V4), P_hd-{F}(V6,V5), ssList-{F}(V6), V0 == V3, V6 == V3, V0 == V6 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #177: input, references = 3, size of lhs = 9:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), P_cons-{F}(V3,V5,V6), ssList-{F}(V5), P_cons-{F}(V3,V7,V8), frontsegP-{F}(V7,V5), ssList-{F}(V7) | frontsegP-{T}(V8,V6)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #178: input, references = 3, size of lhs = 13:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), duplicatefreeP-{F}(V3), ssList-{F}(V3), ssList-{F}(V4), ssList-{F}(V5), P_cons-{F}(V6,V5,V7), P_cons-{F}(V6,V4,V8), ssItem-{F}(V6), P_app-{F}(V9,V7,V10), P_app-{F}(V10,V8,V3), ssList-{F}(V9) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #179: input, references = 3, size of lhs = 13:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), equalelemsP-{F}(V3), ssList-{F}(V3), ssItem-{F}(V4), ssItem-{F}(V5), P_cons-{F}(V4,V6,V7), P_cons-{F}(V5,V7,V8), ssList-{F}(V6), P_app-{F}(V9,V8,V3), ssList-{F}(V9), V5 == V4 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #180: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), strictorderedP-{F}(V3), ssList-{F}(V3), ssItem-{F}(V4), ssItem-{F}(V5), P_cons-{F}(V4,V6,V7), ssList-{F}(V6), P_cons-{F}(V5,V8,V9), ssList-{F}(V8), P_app-{F}(V10,V9,V11), P_app-{F}(V11,V7,V3), ssList-{F}(V10) | lt-{T}(V5,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #181: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), totalorderedP-{F}(V3), ssList-{F}(V3), ssItem-{F}(V4), ssItem-{F}(V5), P_cons-{F}(V4,V6,V7), ssList-{F}(V6), P_cons-{F}(V5,V8,V9), ssList-{F}(V8), P_app-{F}(V10,V9,V11), P_app-{F}(V11,V7,V3), ssList-{F}(V10) | leq-{T}(V5,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #182: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssItem-{F}(V4), strictorderP-{F}(V5), ssList-{F}(V5), P_cons-{F}(V3,V6,V7), ssList-{F}(V6), P_cons-{F}(V4,V8,V9), ssList-{F}(V8), P_app-{F}(V10,V9,V11), P_app-{F}(V11,V7,V5), ssList-{F}(V10) | lt-{T}(V4,V3), lt-{T}(V3,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #183: input, references = 3, size of lhs = 14:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), ssItem-{F}(V4), totalorderP-{F}(V5), ssList-{F}(V5), P_cons-{F}(V3,V6,V7), ssList-{F}(V6), P_cons-{F}(V4,V8,V9), ssList-{F}(V8), P_app-{F}(V10,V9,V11), P_app-{F}(V11,V7,V5), ssList-{F}(V10) | leq-{T}(V4,V3), leq-{T}(V3,V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #184: input, references = 3, size of lhs = 16:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), ssItem-{F}(V3), leq-{F}(V4,V3), leq-{F}(V3,V4), ssItem-{F}(V4), cyclefreeP-{F}(V5), ssList-{F}(V5), P_cons-{F}(V3,V6,V7), ssList-{F}(V6), P_cons-{F}(V4,V8,V9), ssList-{F}(V8), P_app-{F}(V10,V9,V11), P_app-{F}(V11,V7,V5), ssList-{F}(V10) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #185: input, references = 3, size of lhs = 4:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3) | ssList-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #186: input, references = 4, size of lhs = 5:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4) | ssList-{T}(V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #187: input, references = 3, size of lhs = 6:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5) | ssList-{T}(V5)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #188: input, references = 3, size of lhs = 7:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5), P_sk4-{F}(V6) | ssList-{T}(V6)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #189: input, references = 4, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5), P_sk4-{F}(V6), V4 == V6 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #190: input, references = 4, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5), P_sk4-{F}(V6), V3 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #191: input, references = 4, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5), P_sk4-{F}(V6), neq-{F}(V6,V0) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #192: input, references = 4, size of lhs = 8:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5), P_sk4-{F}(V6), cyclefreeP-{F}(V4) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #193: input, references = 4, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_nil-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #194: input, references = 4, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_skac3-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #195: input, references = 4, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_skac2-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #196: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf83-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #197: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf82-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #198: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf81-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #199: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf80-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #200: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf79-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #201: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf78-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #202: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf77-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #203: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf76-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #204: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf75-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #205: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf74-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #206: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf73-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #207: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf72-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #208: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf71-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #209: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf70-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #210: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf69-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #211: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf68-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #212: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf67-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #213: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf66-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #214: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf65-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #215: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf64-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #216: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf63-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #217: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf62-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #218: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf61-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #219: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf60-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #220: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf59-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #221: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf58-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #222: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf57-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #223: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf56-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #224: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf55-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #225: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf54-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #226: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf53-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #227: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf52-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #228: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf51-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #229: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf50-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #230: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf49-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #231: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_skaf44-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #232: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_skaf48-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #233: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_skaf47-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #234: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_skaf46-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #235: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_skaf45-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #236: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_skaf43-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #237: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_skaf42-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #238: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #239: input, references = 3, size of lhs = 2:
% 0.19/0.52     #-{F} V0, #-{F} V1 | EXISTS V2: P_app-{T}(V0,V1,V2)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #240: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_tl-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #241: input, references = 3, size of lhs = 1:
% 0.19/0.52     #-{F} V0 | EXISTS V1: P_hd-{T}(V0,V1)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #242: input, references = 4, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #243: input, references = 4, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #244: input, references = 4, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #245: input, references = 5, size of lhs = 0:
% 0.19/0.52     FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  number of initial rules = 246
% 0.19/0.52  
% 0.19/0.52  Simplifiers:
% 0.19/0.52  #246: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #247: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skac3-{F}(V0), P_skac3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #248: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skac2-{F}(V0), P_skac2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #249: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf83-{F}(V0,V1), P_skaf83-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #250: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf82-{F}(V0,V1), P_skaf82-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #251: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf81-{F}(V0,V1), P_skaf81-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #252: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf80-{F}(V0,V1), P_skaf80-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #253: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf79-{F}(V0,V1), P_skaf79-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #254: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf78-{F}(V0,V1), P_skaf78-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #255: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf77-{F}(V0,V1), P_skaf77-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #256: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf76-{F}(V0,V1), P_skaf76-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #257: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf75-{F}(V0,V1), P_skaf75-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #258: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf74-{F}(V0,V1), P_skaf74-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #259: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf73-{F}(V0,V1), P_skaf73-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #260: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf72-{F}(V0,V1), P_skaf72-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #261: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf71-{F}(V0,V1), P_skaf71-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #262: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf70-{F}(V0,V1), P_skaf70-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #263: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf69-{F}(V0,V1), P_skaf69-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #264: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf68-{F}(V0,V1), P_skaf68-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #265: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf67-{F}(V0,V1), P_skaf67-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #266: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf66-{F}(V0,V1), P_skaf66-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #267: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf65-{F}(V0,V1), P_skaf65-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #268: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf64-{F}(V0,V1), P_skaf64-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #269: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf63-{F}(V0,V1), P_skaf63-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #270: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf62-{F}(V0,V1), P_skaf62-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #271: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf61-{F}(V0,V1), P_skaf61-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #272: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf60-{F}(V0,V1), P_skaf60-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #273: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf59-{F}(V0,V1), P_skaf59-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #274: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf58-{F}(V0,V1), P_skaf58-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #275: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf57-{F}(V0,V1), P_skaf57-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #276: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf56-{F}(V0,V1), P_skaf56-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #277: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf55-{F}(V0,V1), P_skaf55-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #278: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf54-{F}(V0,V1), P_skaf54-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #279: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf53-{F}(V0,V1), P_skaf53-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #280: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf52-{F}(V0,V1), P_skaf52-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #281: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf51-{F}(V0,V1), P_skaf51-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #282: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf50-{F}(V0,V1), P_skaf50-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #283: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf49-{F}(V0,V1), P_skaf49-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #284: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf44-{F}(V0,V1), P_skaf44-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #285: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf48-{F}(V0,V1,V2), P_skaf48-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #286: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf47-{F}(V0,V1,V2), P_skaf47-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #287: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf46-{F}(V0,V1,V2), P_skaf46-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #288: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf45-{F}(V0,V1,V2), P_skaf45-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #289: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf43-{F}(V0,V1,V2), P_skaf43-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #290: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_skaf42-{F}(V0,V1,V2), P_skaf42-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #291: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #292: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_app-{F}(V0,V1,V2), P_app-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #293: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_tl-{F}(V0,V1), P_tl-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #294: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_hd-{F}(V0,V1), P_hd-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #295: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #296: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #297: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #298: unsound, references = 3, size of lhs = 3:
% 0.19/0.52     P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  number of simplifiers = 53
% 0.19/0.52  
% 0.19/0.52  Learnt:
% 0.19/0.52  #301: exists( #245, #190 ), references = 1, size of lhs = 7:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_sk3-{F}(V5), V3 == V5 | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #303: mergings( V4 == V6; #300 ), references = 1, size of lhs = 7:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk3-{F}(V3), P_sk2-{F}(V4), cyclefreeP-{F}(V4) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #306: exists( #244, #300 ), references = 2, size of lhs = 6:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), cyclefreeP-{F}(V4) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #307: exists( #244, #299 ), references = 2, size of lhs = 5:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4) | P_sk3-{T}(V3)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #310: mergings( V4 == V6; #308 ), references = 1, size of lhs = 6:
% 0.19/0.52     P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3), P_sk3-{F}(V3), P_sk2-{F}(V4) | P_sk4-{T}(V4)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #331: mergings( V1 == V5, V5 == V9, V9 == V12, V12 == V13, V2 == V6, V6 == V10, V10 == V14, V14 == V17, V3 == V7, V7 == V11, V11 == V15, V15 == V18, V4 == V8, V8 == V16, V16 == V19; #315 ), references = 1, size of lhs = 5:
% 0.19/0.52     ssList-{F}(V0), P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2), P_sk1-{F}(V3) | P_sk2-{T}(V0)
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #349: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V16, V2 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V17, V3 == V6, V6 == V9, V9 == V13, V13 == V15, V15 == V18; #333 ), references = 1, size of lhs = 5:
% 0.19/0.52     ssList-{F}(V0), cyclefreeP-{F}(V0), P_nil-{F}(V0), P_skac3-{F}(V1), P_skac2-{F}(V2) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #361: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12; #350 ), references = 1, size of lhs = 4:
% 0.19/0.52     ssList-{F}(V0), cyclefreeP-{F}(V0), P_nil-{F}(V0), P_skac3-{F}(V1) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #368: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #362 ), references = 1, size of lhs = 3:
% 0.19/0.52     ssList-{F}(V0), cyclefreeP-{F}(V0), P_nil-{F}(V0) | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  #372: exists( #193, #370 ), references = 1, size of lhs = 0:
% 0.19/0.52     FALSE | FALSE
% 0.19/0.52        (used 0 times, uses = {})
% 0.19/0.52  
% 0.19/0.52  number of learnt formulas = 10
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  
% 0.19/0.52  randbase = 1
%------------------------------------------------------------------------------