TSTP Solution File: COM015+4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COM015+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n012.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 05:59:18 EDT 2022

% Result   : Theorem 19.85s 20.05s
% Output   : Refutation 19.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM015+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n012.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 16:56:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 19.85/20.05  GeoParameters:
% 19.85/20.05  
% 19.85/20.05  tptp_input =     1
% 19.85/20.05  tptp_output =    0
% 19.85/20.05  nonempty =       1
% 19.85/20.05  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.85/20.05  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 19.85/20.05  
% 19.85/20.05  
% 19.85/20.05  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.85/20.05  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.85/20.05  
% 19.85/20.05  RuleSystem INPUT:
% 19.85/20.05  
% 19.85/20.05  Initial Rules:
% 19.85/20.05  #0: input, references = 3, size of lhs = 3:
% 19.85/20.05     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1: input, references = 18, size of lhs = 4:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2: input, references = 14, size of lhs = 4:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #3: input, references = 10, size of lhs = 1:
% 19.85/20.05     pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp39-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #4: input, references = 10, size of lhs = 1:
% 19.85/20.05     pppp39-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #5: input, references = 14, size of lhs = 1:
% 19.85/20.05     aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #6: input, references = 3, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #7: input, references = 14, size of lhs = 1:
% 19.85/20.05     pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #8: input, references = 15, size of lhs = 1:
% 19.85/20.05     pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #9: input, references = 14, size of lhs = 1:
% 19.85/20.05     pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #10: input, references = 12, size of lhs = 6:
% 19.85/20.05     aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtplgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V2,V1) | sdtmndtplgtdt0-{T}(V3,V2,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #11: input, references = 11, size of lhs = 4:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #12: input, references = 16, size of lhs = 4:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #13: input, references = 11, size of lhs = 2:
% 19.85/20.05     pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #14: input, references = 5, size of lhs = 2:
% 19.85/20.05     #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #15: input, references = 14, size of lhs = 1:
% 19.85/20.05     sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #16: input, references = 11, size of lhs = 6:
% 19.85/20.05     aElement0-{F}(V0), aElement0-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V1,V2,V0), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V2,V1) | sdtmndtasgtdt0-{T}(V3,V2,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #17: input, references = 3, size of lhs = 2:
% 19.85/20.05     aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #18: input, references = 3, size of lhs = 2:
% 19.85/20.05     aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #19: input, references = 4, size of lhs = 6:
% 19.85/20.05     pppp2-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V4,V0,V2), sdtmndtasgtdt0-{F}(V4,V0,V1) | EXISTS V3: pppp7-{T}(V0,V2,V1,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #20: input, references = 4, size of lhs = 1:
% 19.85/20.05     #-{F} V0 | pppp2-{T}(V0), pppp40-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #21: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp40-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #22: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #23: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #24: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #25: input, references = 7, size of lhs = 4:
% 19.85/20.05     pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #26: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #27: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #28: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #29: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #30: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #31: input, references = 5, size of lhs = 1:
% 19.85/20.05     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #32: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #33: input, references = 4, size of lhs = 2:
% 19.85/20.05     aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #34: input, references = 3, size of lhs = 2:
% 19.85/20.05     aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #35: input, references = 5, size of lhs = 6:
% 19.85/20.05     pppp3-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), aReductOfIn0-{F}(V2,V4,V0), aReductOfIn0-{F}(V1,V4,V0) | EXISTS V3: pppp11-{T}(V0,V2,V1,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #36: input, references = 3, size of lhs = 1:
% 19.85/20.05     #-{F} V0 | pppp3-{T}(V0), pppp41-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #37: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp41-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #38: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #39: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #40: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #41: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #42: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #43: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #44: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #45: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #46: input, references = 6, size of lhs = 1:
% 19.85/20.05     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #47: input, references = 6, size of lhs = 1:
% 19.85/20.05     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #48: input, references = 6, size of lhs = 1:
% 19.85/20.05     pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #49: input, references = 4, size of lhs = 2:
% 19.85/20.05     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #50: input, references = 3, size of lhs = 2:
% 19.85/20.05     aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #51: input, references = 15, size of lhs = 4:
% 19.85/20.05     pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #52: input, references = 3, size of lhs = 1:
% 19.85/20.05     #-{F} V0 | pppp4-{T}(V0), pppp42-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #53: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp42-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #54: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #55: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #56: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #57: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #58: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #59: input, references = 19, size of lhs = 3:
% 19.85/20.05     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #60: input, references = 3, size of lhs = 3:
% 19.85/20.05     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #61: input, references = 11, size of lhs = 1:
% 19.85/20.05     pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #62: input, references = 11, size of lhs = 1:
% 19.85/20.05     pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #63: input, references = 5, size of lhs = 2:
% 19.85/20.05     pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #64: input, references = 11, size of lhs = 2:
% 19.85/20.05     aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp43-{T}(V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #65: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp43-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #66: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #67: input, references = 9, size of lhs = 3:
% 19.85/20.05     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #68: input, references = 19, size of lhs = 1:
% 19.85/20.05     pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #69: input, references = 4, size of lhs = 1:
% 19.85/20.05     P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #70: input, references = 4, size of lhs = 1:
% 19.85/20.05     P_xR-{F}(V0) | pppp23-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #71: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp23-{F}(V0) | isTerminating0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #72: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #73: input, references = 3, size of lhs = 6:
% 19.85/20.05     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), sdtmndtplgtdt0-{F}(V3,V0,V1) | iLess0-{T}(V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #74: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #75: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp23-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #76: input, references = 4, size of lhs = 6:
% 19.85/20.05     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V4), aReductOfIn0-{F}(V2,V4,V0), aReductOfIn0-{F}(V1,V4,V0) | EXISTS V3: pppp22-{T}(V2,V1,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #77: input, references = 18, size of lhs = 1:
% 19.85/20.05     pppp22-{F}(V0,V1,V2,V3) | pppp21-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #78: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #79: input, references = 4, size of lhs = 2:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #80: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp44-{T}(V1,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #81: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp44-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #82: input, references = 14, size of lhs = 1:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #83: input, references = 6, size of lhs = 2:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #84: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp45-{T}(V0,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #85: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp45-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #86: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #87: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp20-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #88: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp20-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #89: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #90: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #91: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #92: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #93: input, references = 5, size of lhs = 1:
% 19.85/20.05     P_xR-{F}(V0) | EXISTS V1: pppp38-{T}(V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #94: input, references = 5, size of lhs = 1:
% 19.85/20.05     pppp38-{F}(V0,V1) | EXISTS V2: pppp37-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #95: input, references = 11, size of lhs = 5:
% 19.85/20.05     pppp38-{F}(V0,V1), aElement0-{F}(V2), iLess0-{F}(V2,V0), aElement0-{F}(V3), aElement0-{F}(V4) | pppp29-{T}(V2,V3,V1), pppp28-{T}(V2,V4,V1), pppp46-{T}(V4,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #96: input, references = 5, size of lhs = 1:
% 19.85/20.05     pppp46-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #97: input, references = 5, size of lhs = 1:
% 19.85/20.05     pppp38-{F}(V0,V1) | aElement0-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #98: input, references = 7, size of lhs = 1:
% 19.85/20.05     pppp37-{F}(V0,V1,V2) | pppp36-{T}(V0,V2,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #99: input, references = 10, size of lhs = 1:
% 19.85/20.05     pppp36-{F}(V0,V1,V2) | EXISTS V3: pppp35-{T}(V0,V1,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #100: input, references = 6, size of lhs = 1:
% 19.85/20.05     pppp36-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V2,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #101: input, references = 5, size of lhs = 2:
% 19.85/20.05     pppp36-{F}(V0,V1,V2), V0 == V1 | sdtmndtplgtdt0-{T}(V0,V2,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #102: input, references = 5, size of lhs = 2:
% 19.85/20.05     pppp36-{F}(V0,V1,V2), V0 == V1 | aReductOfIn0-{T}(V1,V0,V2), pppp47-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #103: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp47-{F}(V0,V1,V2) | EXISTS V3: pppp30-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #104: input, references = 6, size of lhs = 1:
% 19.85/20.05     pppp36-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #105: input, references = 17, size of lhs = 1:
% 19.85/20.05     pppp35-{F}(V0,V1,V2,V3) | pppp34-{T}(V0,V3,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #106: input, references = 5, size of lhs = 2:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), aElement0-{F}(V4) | pppp32-{T}(V1,V4,V3), pppp33-{T}(V2,V4,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #107: input, references = 7, size of lhs = 1:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #108: input, references = 7, size of lhs = 2:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), V0 == V1 | sdtmndtplgtdt0-{T}(V0,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #109: input, references = 5, size of lhs = 2:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), V0 == V1 | aReductOfIn0-{T}(V1,V0,V3), pppp48-{T}(V0,V1,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #110: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp48-{F}(V0,V1,V2) | EXISTS V3: pppp31-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #111: input, references = 10, size of lhs = 1:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #112: input, references = 5, size of lhs = 2:
% 19.85/20.05     pppp33-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #113: input, references = 4, size of lhs = 2:
% 19.85/20.05     pppp33-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #114: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp33-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #115: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp33-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #116: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp33-{F}(V1,V1,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #117: input, references = 14, size of lhs = 2:
% 19.85/20.05     pppp32-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #118: input, references = 11, size of lhs = 2:
% 19.85/20.05     pppp32-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #119: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp32-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #120: input, references = 4, size of lhs = 2:
% 19.85/20.05     pppp32-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #121: input, references = 4, size of lhs = 1:
% 19.85/20.05     pppp32-{F}(V1,V1,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #122: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp31-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #123: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp31-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #124: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp31-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #125: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #126: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #127: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #128: input, references = 8, size of lhs = 2:
% 19.85/20.05     pppp29-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #129: input, references = 7, size of lhs = 2:
% 19.85/20.05     pppp29-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #130: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp29-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #131: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp29-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #132: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp29-{F}(V1,V1,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #133: input, references = 6, size of lhs = 2:
% 19.85/20.05     pppp28-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #134: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp28-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #135: input, references = 3, size of lhs = 4:
% 19.85/20.05     pppp28-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #136: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp28-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #137: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp28-{F}(V1,V1,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #138: input, references = 25, size of lhs = 1:
% 19.85/20.05     pppp27-{F}(V0,V1,V2,V3) | pppp26-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #139: input, references = 10, size of lhs = 1:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #140: input, references = 9, size of lhs = 2:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #141: input, references = 4, size of lhs = 2:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp49-{T}(V1,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #142: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp49-{F}(V0,V1,V2) | EXISTS V3: pppp25-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #143: input, references = 9, size of lhs = 1:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #144: input, references = 6, size of lhs = 2:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #145: input, references = 3, size of lhs = 2:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp50-{T}(V0,V2,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #146: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp50-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #147: input, references = 5, size of lhs = 1:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #148: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp25-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #149: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp25-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #150: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp25-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #151: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp24-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #152: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp24-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #153: input, references = 3, size of lhs = 1:
% 19.85/20.05     pppp24-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #154: input, references = 4, size of lhs = 0:
% 19.85/20.05     FALSE | EXISTS V0: P_xR-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  number of initial rules = 155
% 19.85/20.05  
% 19.85/20.05  Simplifiers:
% 19.85/20.05  #155: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #156: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #157: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #158: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #159: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #160: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #161: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #162: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #163: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #164: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #165: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #166: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #167: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #168: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #169: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #170: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #171: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #172: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #173: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #174: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #175: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #176: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #177: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #178: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #179: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #180: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #181: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #182: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #183: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #184: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #185: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #186: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #187: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #188: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #189: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #190: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #191: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #192: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #193: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #194: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #195: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #196: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #197: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #198: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #199: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #200: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #201: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #202: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #203: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #204: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #205: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #206: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #207: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #208: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #209: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp33-{F}(V0,V1,V2), pppp33-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #210: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #211: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #212: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #213: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #214: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #215: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V0,V5,V2,V7), V1 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #216: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V2,V7), V0 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #217: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #218: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V4,V2), V1 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #219: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V2), V0 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #220: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #221: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp37-{F}(V0,V1,V2), pppp37-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #222: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V1,V5), V0 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #223: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp37-{F}(V0,V1,V2), pppp37-{F}(V3,V4,V5), V1 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #224: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp38-{F}(V0,V1), pppp38-{F}(V2,V1), V0 == V2 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #225: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp38-{F}(V0,V1), pppp38-{F}(V2,V3), V1 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #226: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp44-{F}(V0,V1,V2), pppp44-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #227: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp45-{F}(V0,V1,V2), pppp45-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #228: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp46-{F}(V0,V1,V2), pppp46-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #229: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp47-{F}(V0,V1,V2), pppp47-{F}(V0,V4,V2), V1 == V4 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #230: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp47-{F}(V0,V1,V2), pppp47-{F}(V3,V4,V2), V0 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #231: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp47-{F}(V0,V1,V2), pppp47-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #232: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V2), V0 == V3 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #233: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #234: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #235: unsound, references = 3, size of lhs = 3:
% 19.85/20.05     pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V2 == V5 | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  number of simplifiers = 81
% 19.85/20.05  
% 19.85/20.05  Learnt:
% 19.85/20.05  #237: disj( #102, input ), references = 1, size of lhs = 3:
% 19.85/20.05     pppp36-{F}(V0,V1,V2), V0 == V1, pppp5-{F}(V3,V2,V0) | pppp47-{T}(V0,V1,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #241: exists( #65, #239 ), references = 2, size of lhs = 2:
% 19.85/20.05     pppp43-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #250: disj( #95, input, input ), references = 2, size of lhs = 5:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V3) | pppp46-{T}(V3,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #251: disj( #95, input, input ), references = 1, size of lhs = 5:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V0,V2,V3) | pppp46-{T}(V3,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #252: disj( #95, input, input ), references = 8, size of lhs = 7:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V3), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V0,V2,V4) | pppp46-{T}(V4,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #255: disj( #106, input ), references = 16, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp34-{F}(V3,V4,V1,V2) | pppp32-{T}(V4,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #256: disj( #106, input ), references = 2, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V0), sdtmndtplgtdt0-{F}(V1,V2,V0), pppp34-{F}(V3,V4,V1,V2) | pppp32-{T}(V4,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #277: exists( #99, #273 ), references = 1, size of lhs = 5:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp36-{F}(V0,V2,V1), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp35-{T}(V0,V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #322: disj( #3, input ), references = 6, size of lhs = 2:
% 19.85/20.05     pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp39-{T}(V2,V1,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #365: disj( #64, exists( #65, #239 ) ), references = 20, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0) | pppp5-{T}(V1,V2,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #384: exists( #4, #380 ), references = 6, size of lhs = 2:
% 19.85/20.05     pppp5-{F}(V0,V1,V2), pppp39-{F}(V2,V1,V3) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #392: exists( #19, #390 ), references = 3, size of lhs = 9:
% 19.85/20.05     pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp7-{T}(V0,V1,V3,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #404: exists( #99, #402 ), references = 2, size of lhs = 9:
% 19.85/20.05     pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp36-{F}(V1,V2,V0), sdtmndtasgtdt0-{F}(V1,V0,V3), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #414: exists( #67, #412 ), references = 2, size of lhs = 7:
% 19.85/20.05     isTerminating0-{F}(V0), pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), pppp36-{F}(V2,V1,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #421: exists( #94, #419 ), references = 1, size of lhs = 5:
% 19.85/20.05     isTerminating0-{F}(V0), pppp2-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #424: exists( #93, #422 ), references = 1, size of lhs = 4:
% 19.85/20.05     P_xR-{F}(V0), isTerminating0-{F}(V0), pppp2-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #426: disj( #20, exists( #93, #422 ) ), references = 1, size of lhs = 3:
% 19.85/20.05     P_xR-{F}(V0), isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0) | pppp40-{T}(V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #461: exists( #67, #459 ), references = 7, size of lhs = 5:
% 19.85/20.05     isTerminating0-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V3,V0,V1) | pppp18-{T}(V0,V1,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #488: disj( #106, input ), references = 2, size of lhs = 2:
% 19.85/20.05     aElement0-{F}(V0), pppp34-{F}(V1,V0,V2,V3) | pppp33-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #489: disj( #106, input ), references = 3, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp34-{F}(V3,V1,V4,V2) | pppp33-{T}(V4,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #534: exists( #96, #532 ), references = 12, size of lhs = 5:
% 19.85/20.05     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp46-{F}(V1,V2,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1) | pppp27-{T}(V1,V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #540: disj( #95, input, #533+#138+#139+#25 ), references = 1, size of lhs = 9:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2), pppp9-{F}(V1,V0,V6), sdtmndtasgtdt0-{F}(V6,V1,V2) | pppp29-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #541: disj( #95, input, #533+#138+#139+#25 ), references = 1, size of lhs = 11:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4), pppp9-{F}(V2,V3,V7), sdtmndtasgtdt0-{F}(V7,V2,V4) | pppp29-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #581: exists( #99, #577 ), references = 1, size of lhs = 10:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), pppp36-{F}(V0,V3,V2), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V3,V2,V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #607: disj( #95, #534+#138+#139+#128, #534+#138+#139+#128 ), references = 3, size of lhs = 12:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), pppp46-{F}(V3,V0,V2), pppp5-{F}(V4,V2,V3), pppp5-{F}(V5,V2,V3), aElement0-{F}(V6), pppp29-{F}(V3,V6,V2), pppp5-{F}(V7,V2,V6), pppp5-{F}(V8,V2,V6) | pppp28-{T}(V0,V6,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #608: disj( #95, #534+#138+#139+#128, #534+#138+#140+#129 ), references = 1, size of lhs = 13:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), pppp46-{F}(V3,V0,V2), pppp5-{F}(V4,V2,V3), pppp5-{F}(V5,V2,V3), aElement0-{F}(V6), V3 == V6, pppp29-{F}(V3,V6,V2), pppp5-{F}(V7,V2,V6), pppp5-{F}(V8,V2,V6) | pppp28-{T}(V0,V6,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #622: disj( #64, exists( #4, #380 ) ), references = 1, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp39-{F}(V0,V2,V3) | pppp43-{T}(V2,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #641: exists( #76, #639 ), references = 15, size of lhs = 9:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp22-{T}(V1,V3,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #661: disj( #95, input, #534+#138+#139+#112 ), references = 2, size of lhs = 8:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp33-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp29-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #662: disj( #95, input, #534+#138+#140+#113 ), references = 1, size of lhs = 9:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), V0 == V2, pppp33-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp29-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #663: disj( #95, input, #534+#138+#139+#112 ), references = 5, size of lhs = 10:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), pppp33-{F}(V3,V4,V2), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4) | pppp29-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #676: disj( #109, #641+#77+#82+#117 ), references = 1, size of lhs = 11:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), V2 == V1, pppp34-{F}(V2,V1,V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V2,V0), pppp32-{F}(V1,V4,V0), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4) | pppp48-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #677: disj( #109, #641+#77+#83+#118 ), references = 1, size of lhs = 12:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), V2 == V1, pppp34-{F}(V2,V1,V3,V0), aElement0-{F}(V4), V1 == V4, aReductOfIn0-{F}(V4,V2,V0), pppp32-{F}(V1,V4,V0), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4) | pppp48-{T}(V2,V1,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #705: disj( #3, #641+#77+#82+#117 ), references = 5, size of lhs = 10:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp32-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp39-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #706: disj( #3, #641+#77+#83+#118 ), references = 1, size of lhs = 11:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), aElement0-{F}(V3), V1 == V3, aReductOfIn0-{F}(V3,V2,V0), pppp32-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp39-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #708: disj( #64, input ), references = 1, size of lhs = 3:
% 19.85/20.05     aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp43-{T}(V2,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #719: disj( #3, #641+#77+#82+#25 ), references = 1, size of lhs = 11:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0), pppp0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), sdtmndtasgtdt0-{F}(V6,V0,V3), pppp9-{F}(V0,V6,V1) | pppp39-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #804: exists( #4, #798 ), references = 3, size of lhs = 14:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp32-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #805: exists( #4, #799 ), references = 3, size of lhs = 15:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), V1 == V3, aReductOfIn0-{F}(V3,V2,V0), pppp32-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #820: exists( #99, #816 ), references = 4, size of lhs = 15:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0), pppp36-{F}(V1,V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V1,V0), sdtmndtasgtdt0-{F}(V2,V0,V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3), pppp5-{F}(V8,V0,V3), pppp5-{F}(V9,V0,V3) | pppp35-{T}(V1,V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #847: disj( #3, #820+#105+#255+#120 ), references = 9, size of lhs = 15:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), pppp36-{F}(V1,V3,V0), sdtmndtasgtdt0-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2), pppp5-{F}(V7,V0,V2), pppp5-{F}(V8,V0,V2), pppp5-{F}(V9,V0,V2) | pppp39-{T}(V1,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #848: disj( #3, #820+#105+#255+#117 ), references = 1, size of lhs = 18:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), pppp36-{F}(V1,V3,V0), sdtmndtasgtdt0-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2), pppp5-{F}(V7,V0,V2), pppp5-{F}(V8,V0,V2), pppp5-{F}(V9,V0,V2), aElement0-{F}(V10), sdtmndtasgtdt0-{F}(V3,V0,V10), sdtmndtasgtdt0-{F}(V1,V0,V10) | pppp39-{T}(V1,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #849: disj( #3, #820+#105+#255+#118 ), references = 1, size of lhs = 18:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0), pppp0-{F}(V1,V0,V2), aElement0-{F}(V2), pppp36-{F}(V1,V3,V0), sdtmndtasgtdt0-{F}(V3,V0,V2), pppp5-{F}(V4,V0,V2), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2), pppp5-{F}(V7,V0,V2), pppp5-{F}(V8,V0,V2), pppp5-{F}(V9,V0,V2), aElement0-{F}(V10), sdtmndtasgtdt0-{F}(V3,V0,V10), sdtmndtplgtdt0-{F}(V1,V0,V10) | pppp39-{T}(V1,V0,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #884: disj( #3, #641+#77+#82+#25 ), references = 1, size of lhs = 11:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0), pppp0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp9-{F}(V0,V1,V6), sdtmndtasgtdt0-{F}(V6,V0,V3) | pppp39-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #899: disj( #64, #365+#641+#77+#82+#365+#663+#128 ), references = 1, size of lhs = 14:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp38-{F}(V3,V0), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V1,V0), pppp33-{F}(V4,V5,V0), sdtmndtasgtdt0-{F}(V6,V0,V5), sdtmndtasgtdt0-{F}(V7,V0,V5) | pppp43-{T}(V0,V5)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #900: disj( #64, #365+#641+#77+#82+#365+#663+#129 ), references = 1, size of lhs = 14:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp38-{F}(V3,V0), aElement0-{F}(V4), sdtmndtplgtdt0-{F}(V2,V0,V4), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V1,V0), pppp33-{F}(V4,V5,V0), sdtmndtasgtdt0-{F}(V6,V0,V5), sdtmndtasgtdt0-{F}(V7,V0,V5) | pppp43-{T}(V0,V5)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #930: disj( #141, #705+#804 ), references = 1, size of lhs = 17:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), V2 == V3, pppp32-{F}(V1,V3,V0), pppp26-{F}(V4,V2,V3,V0), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3), pppp5-{F}(V8,V0,V3), pppp5-{F}(V9,V0,V3), pppp5-{F}(V10,V0,V3) | pppp49-{T}(V2,V3,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #931: disj( #141, #705+#805 ), references = 1, size of lhs = 18:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), V2 == V3, V1 == V3, pppp32-{F}(V1,V3,V0), pppp26-{F}(V4,V2,V3,V0), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3), pppp5-{F}(V8,V0,V3), pppp5-{F}(V9,V0,V3), pppp5-{F}(V10,V0,V3) | pppp49-{T}(V2,V3,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1001: disj( #95, input, #534+#138+#139+#117 ), references = 1, size of lhs = 8:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp32-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp29-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1002: disj( #95, input, #534+#138+#140+#118 ), references = 1, size of lhs = 9:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), V0 == V2, pppp32-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp29-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1003: disj( #95, input, #534+#138+#139+#117 ), references = 2, size of lhs = 10:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), pppp32-{F}(V3,V4,V2), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4) | pppp29-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1084: exists( #96, #1082 ), references = 9, size of lhs = 5:
% 19.85/20.05     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp46-{F}(V2,V1,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1) | pppp27-{T}(V2,V1,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1089: disj( #102, #705+#804 ), references = 1, size of lhs = 17:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), V2 == V3, pppp36-{F}(V2,V3,V0), pppp32-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3), pppp5-{F}(V8,V0,V3), pppp5-{F}(V9,V0,V3) | pppp47-{T}(V2,V3,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1090: disj( #102, #705+#805 ), references = 1, size of lhs = 18:
% 19.85/20.05     pppp4-{F}(V0), pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), V2 == V3, V1 == V3, pppp36-{F}(V2,V3,V0), pppp32-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3), pppp5-{F}(V8,V0,V3), pppp5-{F}(V9,V0,V3) | pppp47-{T}(V2,V3,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1191: exists( #35, #1185 ), references = 1, size of lhs = 14:
% 19.85/20.05     pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp38-{F}(V3,V0), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), pppp32-{F}(V7,V4,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1201: exists( #4, #1199 ), references = 3, size of lhs = 12:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V2,V0), pppp32-{F}(V5,V1,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1229: disj( #109, exists( #4, #1199 ) ), references = 1, size of lhs = 13:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1), aElement0-{F}(V5), V2 == V5, pppp32-{F}(V5,V1,V0), pppp34-{F}(V2,V5,V6,V0) | pppp48-{T}(V2,V5,V0)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1254: disj( #3, exists( #4, #1199 ) ), references = 3, size of lhs = 12:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), pppp0-{F}(V2,V0,V3), aElement0-{F}(V3), pppp32-{F}(V3,V1,V0), pppp5-{F}(V4,V0,V1), pppp5-{F}(V5,V0,V1) | pppp39-{T}(V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1292: disj( #3, #641+#77+#82+#128 ), references = 1, size of lhs = 10:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp29-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp39-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1293: disj( #3, #641+#77+#82+#133 ), references = 1, size of lhs = 10:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), pppp28-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp39-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1294: disj( #3, #641+#77+#83+#129 ), references = 1, size of lhs = 11:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V0,V1), aElement0-{F}(V3), V1 == V3, aReductOfIn0-{F}(V3,V2,V0), pppp29-{F}(V1,V3,V0), pppp5-{F}(V4,V0,V3), pppp5-{F}(V5,V0,V3) | pppp39-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1307: disj( #64, #365+#641+#77+#82+#365+#252+#1084+#138+#144+#1+#322+#384 ), references = 1, size of lhs = 16:
% 19.85/20.05     pppp23-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp38-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V1,V0), sdtmndtasgtdt0-{F}(V5,V0,V4), sdtmndtasgtdt0-{F}(V6,V0,V4), sdtmndtasgtdt0-{F}(V2,V0,V7), V7 == V4, aElement0-{F}(V7), pppp5-{F}(V8,V0,V7), pppp5-{F}(V9,V0,V7) | pppp43-{T}(V0,V4)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1359: disj( #95, input, #1084+#138+#143+#128 ), references = 1, size of lhs = 8:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp29-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp28-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1360: disj( #95, input, #1084+#138+#143+#133 ), references = 1, size of lhs = 8:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp28-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp28-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1361: disj( #95, input, #1084+#138+#144+#129 ), references = 1, size of lhs = 9:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), V0 == V2, pppp29-{F}(V0,V2,V1), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2) | pppp28-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1483: exists( #35, #1477 ), references = 3, size of lhs = 14:
% 19.85/20.05     pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp38-{F}(V3,V0), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), pppp29-{F}(V7,V4,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1484: exists( #35, #1479 ), references = 3, size of lhs = 14:
% 19.85/20.05     pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), pppp38-{F}(V3,V0), sdtmndtasgtdt0-{F}(V2,V0,V4), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), aElement0-{F}(V7), aReductOfIn0-{F}(V7,V1,V0), pppp28-{F}(V7,V4,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1533: exists( #4, #1529 ), references = 4, size of lhs = 12:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V2,V0), pppp29-{F}(V5,V1,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1534: exists( #4, #1530 ), references = 3, size of lhs = 12:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V2,V0), pppp28-{F}(V5,V1,V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1539: disj( #64, exists( #4, #1529 ) ), references = 1, size of lhs = 11:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp39-{F}(V3,V0,V1), pppp38-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V3,V0), pppp29-{F}(V4,V1,V0) | pppp43-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1541: mergings( V7 == V9; #1538 ), references = 1, size of lhs = 17:
% 19.85/20.05     aElement0-{F}(V0), pppp4-{F}(V1), pppp3-{F}(V1), aRewritingSystem0-{F}(V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V3,V1,V0), aElement0-{F}(V4), pppp29-{F}(V0,V4,V1), sdtmndtasgtdt0-{F}(V5,V1,V4), sdtmndtasgtdt0-{F}(V6,V1,V4), aElement0-{F}(V7), pppp39-{F}(V7,V1,V4), pppp38-{F}(V7,V1), aElement0-{F}(V8), pppp46-{F}(V0,V8,V1), aReductOfIn0-{F}(V8,V7,V1), iLess0-{F}(V8,V7) | pppp43-{T}(V1,V4)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1631: exists( #4, #1625 ), references = 1, size of lhs = 15:
% 19.85/20.05     aElement0-{F}(V0), aElement0-{F}(V1), pppp4-{F}(V2), sdtmndtplgtdt0-{F}(V0,V2,V1), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), pppp5-{F}(V3,V2,V1), aElement0-{F}(V4), pppp33-{F}(V4,V1,V2), aElement0-{F}(V5), pppp39-{F}(V5,V2,V0), pppp39-{F}(V5,V2,V4), pppp38-{F}(V5,V2), pppp5-{F}(V6,V2,V4), pppp5-{F}(V7,V2,V4) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1632: exists( #4, #1626 ), references = 1, size of lhs = 18:
% 19.85/20.05     aElement0-{F}(V0), aElement0-{F}(V1), pppp4-{F}(V2), sdtmndtplgtdt0-{F}(V0,V2,V1), pppp3-{F}(V2), aRewritingSystem0-{F}(V2), pppp5-{F}(V3,V2,V1), pppp5-{F}(V4,V2,V1), aElement0-{F}(V5), pppp29-{F}(V1,V5,V2), pppp5-{F}(V6,V2,V5), pppp5-{F}(V7,V2,V5), aElement0-{F}(V8), pppp39-{F}(V8,V2,V0), pppp39-{F}(V8,V2,V5), pppp38-{F}(V8,V2), pppp5-{F}(V9,V2,V5), pppp5-{F}(V10,V2,V5) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1634: mergings( V0 == V7; #1630 ), references = 1, size of lhs = 18:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V1,V0,V2), pppp5-{F}(V3,V0,V2), aElement0-{F}(V4), pppp39-{F}(V4,V0,V1), pppp38-{F}(V4,V0), aElement0-{F}(V5), aReductOfIn0-{F}(V5,V4,V0), iLess0-{F}(V5,V4), sdtmndtasgtdt0-{F}(V5,V0,V6), pppp33-{F}(V6,V2,V0), aElement0-{F}(V6), pppp5-{F}(V7,V0,V6), pppp5-{F}(V8,V0,V6) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1673: exists( #67, #1667 ), references = 1, size of lhs = 13:
% 19.85/20.05     isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp34-{F}(V3,V1,V2,V0), aElement0-{F}(V4), pppp39-{F}(V4,V0,V1), pppp39-{F}(V4,V0,V2), pppp38-{F}(V4,V0), pppp5-{F}(V5,V0,V2), pppp5-{F}(V6,V0,V2) | pppp18-{T}(V0,V1,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1675: mergings( V4 == V9; #1671 ), references = 1, size of lhs = 18:
% 19.85/20.05     isTerminating0-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), pppp4-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), aElement0-{F}(V3), pppp34-{F}(V4,V2,V3,V0), pppp5-{F}(V5,V0,V3), pppp5-{F}(V6,V0,V3), aElement0-{F}(V7), sdtmndtplgtdt0-{F}(V7,V0,V2), pppp39-{F}(V7,V0,V2), pppp39-{F}(V7,V0,V3), pppp38-{F}(V7,V0), pppp5-{F}(V8,V0,V3), pppp5-{F}(V9,V0,V3) | pppp18-{T}(V0,V2,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1698: exists( #4, #1696 ), references = 2, size of lhs = 14:
% 19.85/20.05     aElement0-{F}(V0), pppp4-{F}(V1), pppp3-{F}(V1), aRewritingSystem0-{F}(V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V3,V1,V0), aElement0-{F}(V4), pppp32-{F}(V4,V0,V1), aElement0-{F}(V5), pppp39-{F}(V5,V1,V0), pppp39-{F}(V5,V1,V4), pppp38-{F}(V5,V1), pppp5-{F}(V6,V1,V4), pppp5-{F}(V7,V1,V4) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1711: exists( #99, #1709 ), references = 3, size of lhs = 18:
% 19.85/20.05     isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V3,V0,V1), aElement0-{F}(V4), sdtmndtasgtdt0-{F}(V1,V0,V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), pppp5-{F}(V7,V0,V4), pppp5-{F}(V8,V0,V4), aElement0-{F}(V9), pppp36-{F}(V9,V1,V0), pppp39-{F}(V9,V0,V1), pppp39-{F}(V9,V0,V4), pppp38-{F}(V9,V0) | pppp35-{T}(V9,V1,V0,V9)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1767: exists( #99, #1763 ), references = 2, size of lhs = 1:
% 19.85/20.05     pppp36-{F}(V0,V0,V1) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1801: disj( #95, input, #1084+#138+#143+#25 ), references = 1, size of lhs = 9:
% 19.85/20.05     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), iLess0-{F}(V2,V3), pppp38-{F}(V3,V1), pppp5-{F}(V4,V1,V2), pppp5-{F}(V5,V1,V2), pppp9-{F}(V1,V0,V6), sdtmndtasgtdt0-{F}(V6,V1,V2) | pppp28-{T}(V2,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1802: disj( #95, input, #1084+#138+#143+#25 ), references = 1, size of lhs = 11:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V4), aElement0-{F}(V4), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4), pppp9-{F}(V2,V3,V7), sdtmndtasgtdt0-{F}(V7,V2,V4) | pppp28-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1848: disj( #64, #365+#847+#1201 ), references = 1, size of lhs = 15:
% 19.85/20.05     pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V3,V0,V1), sdtmndtasgtdt0-{F}(V4,V0,V1), aElement0-{F}(V5), pppp0-{F}(V5,V0,V1), pppp36-{F}(V5,V4,V0), pppp38-{F}(V5,V0), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V5,V0), pppp32-{F}(V6,V1,V0) | pppp43-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1849: disj( #64, #365+#847+#1533 ), references = 1, size of lhs = 15:
% 19.85/20.05     pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V3,V0,V1), sdtmndtasgtdt0-{F}(V4,V0,V1), aElement0-{F}(V5), pppp0-{F}(V5,V0,V1), pppp36-{F}(V5,V4,V0), pppp38-{F}(V5,V0), aElement0-{F}(V6), aReductOfIn0-{F}(V6,V5,V0), pppp29-{F}(V6,V1,V0) | pppp43-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1876: exists( #67, #1874 ), references = 1, size of lhs = 15:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V0,V1), pppp36-{F}(V3,V1,V0), pppp38-{F}(V3,V0), aElement0-{F}(V4), aReductOfIn0-{F}(V4,V3,V0), pppp34-{F}(V5,V4,V1,V0) | pppp18-{T}(V0,V1,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1900: mergings( V4 == V0; #1897 ), references = 1, size of lhs = 16:
% 19.85/20.05     pppp23-{F}(V0), isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V1), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V3,V0,V1), aElement0-{F}(V4), pppp0-{F}(V4,V0,V1), pppp36-{F}(V4,V1,V0), pppp38-{F}(V4,V0), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V1,V0,V5), sdtmndtasgtdt0-{F}(V4,V0,V5) | pppp43-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1902: mergings( V4 == V0; #1898 ), references = 1, size of lhs = 16:
% 19.85/20.05     pppp23-{F}(V0), isTerminating0-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V1), sdtmndtasgtdt0-{F}(V2,V0,V1), sdtmndtasgtdt0-{F}(V3,V0,V1), aElement0-{F}(V4), pppp0-{F}(V4,V0,V1), pppp36-{F}(V4,V1,V0), pppp38-{F}(V4,V0), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V1,V0,V5), sdtmndtplgtdt0-{F}(V4,V0,V5) | pppp43-{T}(V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #1967: exists( #67, #1965 ), references = 1, size of lhs = 17:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp34-{F}(V4,V3,V1,V0), aElement0-{F}(V5), sdtmndtplgtdt0-{F}(V5,V0,V1), pppp36-{F}(V5,V1,V0), pppp39-{F}(V5,V0,V3), pppp38-{F}(V5,V0), pppp5-{F}(V6,V0,V3), pppp5-{F}(V7,V0,V3) | pppp18-{T}(V0,V1,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2082: disj( #95, input, #534+#138+#139+#117 ), references = 1, size of lhs = 8:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), pppp32-{F}(V0,V3,V2), pppp5-{F}(V4,V2,V3), pppp5-{F}(V5,V2,V3) | pppp28-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2083: disj( #95, input, #534+#138+#140+#118 ), references = 1, size of lhs = 9:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), V0 == V3, pppp32-{F}(V0,V3,V2), pppp5-{F}(V4,V2,V3), pppp5-{F}(V5,V2,V3) | pppp28-{T}(V0,V3,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2084: disj( #95, input, #534+#138+#139+#117 ), references = 3, size of lhs = 10:
% 19.85/20.05     aElement0-{F}(V0), iLess0-{F}(V0,V1), pppp38-{F}(V1,V2), aRewritingSystem0-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V2,V3), aElement0-{F}(V4), pppp32-{F}(V3,V4,V2), pppp5-{F}(V5,V2,V4), pppp5-{F}(V6,V2,V4) | pppp28-{T}(V0,V4,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2198: exists( #4, #2194 ), references = 2, size of lhs = 14:
% 19.85/20.05     aElement0-{F}(V0), pppp4-{F}(V1), pppp3-{F}(V1), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp32-{F}(V0,V2,V1), pppp5-{F}(V3,V1,V2), pppp5-{F}(V4,V1,V2), aElement0-{F}(V5), pppp39-{F}(V5,V1,V0), pppp39-{F}(V5,V1,V2), pppp38-{F}(V5,V1), pppp5-{F}(V6,V1,V2), pppp5-{F}(V7,V1,V2) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2200: mergings( V0 == V5; #2197 ), references = 2, size of lhs = 17:
% 19.85/20.05     pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), pppp39-{F}(V2,V0,V1), pppp38-{F}(V2,V0), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V0), iLess0-{F}(V3,V2), sdtmndtasgtdt0-{F}(V3,V0,V4), pppp32-{F}(V1,V4,V0), aElement0-{F}(V4), pppp5-{F}(V5,V0,V4), pppp5-{F}(V6,V0,V4), pppp5-{F}(V7,V0,V4), pppp5-{F}(V8,V0,V4) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2252: exists( #67, #2248 ), references = 1, size of lhs = 15:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V1), aElement0-{F}(V3), pppp34-{F}(V4,V3,V1,V0), aElement0-{F}(V5), sdtmndtplgtdt0-{F}(V5,V0,V1), pppp36-{F}(V5,V1,V0), pppp0-{F}(V5,V0,V3), pppp38-{F}(V5,V0) | pppp18-{T}(V0,V1,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2253: exists( #67, #2249 ), references = 1, size of lhs = 17:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), sdtmndtplgtdt0-{F}(V4,V0,V2), pppp0-{F}(V4,V0,V3), pppp38-{F}(V4,V0), pppp36-{F}(V4,V2,V0), aReductOfIn0-{F}(V2,V4,V0), iLess0-{F}(V2,V4), pppp34-{F}(V5,V3,V2,V0) | pppp18-{T}(V0,V2,V2)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2262: exists( #99, #2260 ), references = 1, size of lhs = 13:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), sdtmndtasgtdt0-{F}(V1,V0,V2), aElement0-{F}(V2), pppp43-{F}(V0,V2), aElement0-{F}(V3), sdtmndtplgtdt0-{F}(V3,V0,V2), pppp36-{F}(V3,V2,V0), pppp38-{F}(V3,V0) | pppp35-{T}(V3,V2,V0,V3)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2287: exists( #94, #2283 ), references = 2, size of lhs = 7:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0) | pppp37-{T}(V1,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2288: exists( #94, #2284 ), references = 1, size of lhs = 7:
% 19.85/20.05     isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp38-{F}(V1,V0) | pppp37-{T}(V1,V0,V1)
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2295: exists( #93, #2293 ), references = 1, size of lhs = 6:
% 19.85/20.05     P_xR-{F}(V0), isTerminating0-{F}(V0), pppp23-{F}(V0), pppp4-{F}(V0), pppp3-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  #2303: exists( #154, #2301 ), references = 1, size of lhs = 0:
% 19.85/20.05     FALSE | FALSE
% 19.85/20.05        (used 0 times, uses = {})
% 19.85/20.05  
% 19.85/20.05  number of learnt formulas = 99
% 19.85/20.05  
% 19.85/20.05  
% 19.85/20.05  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.85/20.05  
% 19.85/20.05  randbase = 1
%------------------------------------------------------------------------------