TSTP Solution File: COM019+4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COM019+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n005.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 05:59:19 EDT 2022

% Result   : Theorem 2.14s 2.32s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : COM019+4 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 16:57:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.14/2.32  GeoParameters:
% 2.14/2.32  
% 2.14/2.32  tptp_input =     1
% 2.14/2.32  tptp_output =    0
% 2.14/2.32  nonempty =       1
% 2.14/2.32  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.32  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.14/2.32  
% 2.14/2.32  
% 2.14/2.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.32  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.32  
% 2.14/2.32  RuleSystem INPUT:
% 2.14/2.32  
% 2.14/2.32  Initial Rules:
% 2.14/2.32  #0: input, references = 3, size of lhs = 3:
% 2.14/2.32     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #1: input, references = 5, size of lhs = 4:
% 2.14/2.32     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #2: input, references = 8, size of lhs = 4:
% 2.14/2.32     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #3: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp42-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #4: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp42-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #5: input, references = 7, size of lhs = 1:
% 2.14/2.32     aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #6: input, references = 4, size of lhs = 3:
% 2.14/2.32     aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #7: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #8: input, references = 5, size of lhs = 1:
% 2.14/2.32     pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #9: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #10: input, references = 4, size of lhs = 6:
% 2.14/2.32     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)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #11: input, references = 3, size of lhs = 4:
% 2.14/2.32     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #12: input, references = 5, size of lhs = 4:
% 2.14/2.32     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #13: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #14: input, references = 3, size of lhs = 2:
% 2.14/2.32     #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #15: input, references = 5, size of lhs = 1:
% 2.14/2.32     sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #16: input, references = 5, size of lhs = 6:
% 2.14/2.32     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)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #17: input, references = 3, size of lhs = 2:
% 2.14/2.32     aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #18: input, references = 3, size of lhs = 2:
% 2.14/2.32     aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #19: input, references = 3, size of lhs = 6:
% 2.14/2.32     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)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #20: input, references = 3, size of lhs = 1:
% 2.14/2.32     #-{F} V0 | pppp2-{T}(V0), pppp43-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #21: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp43-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #22: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #23: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #24: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #25: input, references = 3, size of lhs = 4:
% 2.14/2.32     pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #26: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #27: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #28: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #29: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #30: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #31: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #32: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #33: input, references = 3, size of lhs = 2:
% 2.14/2.32     aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #34: input, references = 3, size of lhs = 2:
% 2.14/2.32     aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #35: input, references = 3, size of lhs = 6:
% 2.14/2.32     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)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #36: input, references = 3, size of lhs = 1:
% 2.14/2.32     #-{F} V0 | pppp3-{T}(V0), pppp44-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #37: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp44-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #38: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #39: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #40: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #41: input, references = 3, size of lhs = 4:
% 2.14/2.32     pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #42: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #43: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #44: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #45: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #46: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #47: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #48: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #49: input, references = 4, size of lhs = 2:
% 2.14/2.32     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #50: input, references = 3, size of lhs = 2:
% 2.14/2.32     aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #51: input, references = 7, size of lhs = 4:
% 2.14/2.32     pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #52: input, references = 3, size of lhs = 1:
% 2.14/2.32     #-{F} V0 | pppp4-{T}(V0), pppp45-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #53: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp45-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #54: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #55: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #56: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #57: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #58: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #59: input, references = 10, size of lhs = 3:
% 2.14/2.32     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #60: input, references = 3, size of lhs = 3:
% 2.14/2.32     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #61: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #62: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #63: input, references = 5, size of lhs = 2:
% 2.14/2.32     pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #64: input, references = 5, size of lhs = 2:
% 2.14/2.32     aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp46-{T}(V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #65: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp46-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #66: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #67: input, references = 3, size of lhs = 3:
% 2.14/2.32     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #68: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #69: input, references = 4, size of lhs = 1:
% 2.14/2.32     P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #70: input, references = 4, size of lhs = 1:
% 2.14/2.32     P_xR-{F}(V0) | pppp23-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #71: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp23-{F}(V0) | isTerminating0-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #72: input, references = 3, size of lhs = 4:
% 2.14/2.32     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #73: input, references = 3, size of lhs = 6:
% 2.14/2.32     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)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #74: input, references = 3, size of lhs = 4:
% 2.14/2.32     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #75: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp23-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #76: input, references = 3, size of lhs = 6:
% 2.14/2.32     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)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #77: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp22-{F}(V0,V1,V2,V3) | pppp21-{T}(V0,V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #78: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #79: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #80: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp47-{T}(V1,V2,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #81: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp47-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #82: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #83: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #84: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp48-{T}(V0,V2,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #85: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp48-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #86: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp21-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #87: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp20-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #88: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp20-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #89: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #90: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #91: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #92: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #93: input, references = 4, size of lhs = 4:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #94: input, references = 4, size of lhs = 4:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #95: input, references = 3, size of lhs = 4:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #96: input, references = 4, size of lhs = 8:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1), aElement0-{F}(V5), aElement0-{F}(V6) | pppp29-{T}(V4,V5,V0), pppp28-{T}(V4,V6,V0), pppp49-{T}(V6,V5,V0)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #97: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp49-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V2,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #98: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp29-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #99: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp29-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #100: input, references = 3, size of lhs = 4:
% 2.14/2.32     pppp29-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #101: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp29-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #102: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp29-{F}(V1,V1,V2) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #103: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp28-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #104: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp28-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #105: input, references = 3, size of lhs = 4:
% 2.14/2.32     pppp28-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #106: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp28-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #107: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp28-{F}(V1,V1,V2) | FALSE
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #108: input, references = 11, size of lhs = 1:
% 2.14/2.32     pppp27-{F}(V0,V1,V2,V3) | pppp26-{T}(V0,V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #109: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #110: input, references = 4, size of lhs = 2:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #111: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp50-{T}(V1,V2,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #112: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp50-{F}(V0,V1,V2) | EXISTS V3: pppp25-{T}(V0,V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #113: input, references = 10, size of lhs = 1:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #114: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #115: input, references = 3, size of lhs = 2:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp51-{T}(V0,V2,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #116: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp51-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V3,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #117: input, references = 4, size of lhs = 1:
% 2.14/2.32     pppp26-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #118: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp25-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #119: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp25-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #120: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp25-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #121: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp24-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #122: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp24-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #123: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp24-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #124: input, references = 3, size of lhs = 4:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V2,V1,V0), pppp52-{T}(V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #125: input, references = 3, size of lhs = 1:
% 2.14/2.32     pppp52-{F}(V0,V1,V2) | EXISTS V3: pppp30-{T}(V3,V0,V1,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #126: input, references = 3, size of lhs = 4:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.32  
% 2.14/2.32  #127: input, references = 3, size of lhs = 4:
% 2.14/2.32     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V3,V1,V0), pppp53-{T}(V0,V1,V3)
% 2.14/2.32        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #128: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp53-{F}(V0,V1,V2) | EXISTS V3: pppp31-{T}(V3,V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #129: input, references = 3, size of lhs = 4:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #130: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #131: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #132: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #133: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #134: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #135: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #136: input, references = 5, size of lhs = 5:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | pppp33-{T}(V0,V1,V2,V4)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #137: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V3,V0,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #138: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3), V3 == V2 | sdtmndtplgtdt0-{T}(V3,V0,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #139: input, references = 4, size of lhs = 2:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3), V3 == V2 | aReductOfIn0-{T}(V2,V3,V0), pppp54-{T}(V0,V2,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #140: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp54-{F}(V0,V1,V2) | EXISTS V3: pppp32-{T}(V3,V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #141: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #142: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #143: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #144: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V3,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #145: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #146: input, references = 5, size of lhs = 6:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | pppp35-{T}(V0,V1,V3,V5)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #147: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V3,V0,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #148: input, references = 4, size of lhs = 2:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3), V3 == V2 | sdtmndtplgtdt0-{T}(V3,V0,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #149: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3), V3 == V2 | aReductOfIn0-{T}(V2,V3,V0), pppp55-{T}(V0,V2,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #150: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp55-{F}(V0,V1,V2) | EXISTS V3: pppp34-{T}(V3,V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #151: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #152: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #153: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #154: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V3,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #155: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #156: input, references = 9, size of lhs = 7:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6) | pppp38-{T}(V0,V4,V5,V6)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #157: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #158: input, references = 5, size of lhs = 2:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), V2 == V3 | sdtmndtplgtdt0-{T}(V2,V0,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #159: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), V2 == V3 | aReductOfIn0-{T}(V3,V2,V0), pppp56-{T}(V0,V2,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #160: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp56-{F}(V0,V1,V2) | EXISTS V3: pppp37-{T}(V3,V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #161: input, references = 6, size of lhs = 1:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #162: input, references = 6, size of lhs = 2:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), V1 == V3 | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #163: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), V1 == V3 | aReductOfIn0-{T}(V3,V1,V0), pppp57-{T}(V0,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #164: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp57-{F}(V0,V1,V2) | EXISTS V3: pppp36-{T}(V3,V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #165: input, references = 8, size of lhs = 1:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #166: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #167: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #168: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #169: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #170: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #171: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #172: input, references = 12, size of lhs = 8:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6), P_xd-{F}(V7) | pppp40-{T}(V0,V6,V7)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #173: input, references = 10, size of lhs = 1:
% 2.14/2.33     pppp40-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #174: input, references = 4, size of lhs = 2:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V0) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #175: input, references = 5, size of lhs = 1:
% 2.14/2.33     pppp40-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #176: input, references = 5, size of lhs = 2:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #177: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), V1 == V2 | aReductOfIn0-{T}(V2,V1,V0), pppp58-{T}(V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #178: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp58-{F}(V0,V1,V2) | EXISTS V3: pppp39-{T}(V3,V0,V1,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #179: input, references = 7, size of lhs = 1:
% 2.14/2.33     pppp40-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #180: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #181: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #182: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #183: input, references = 9, size of lhs = 8:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5), P_xw-{F}(V6), P_xd-{F}(V7) | pppp41-{T}(V0,V2,V7)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #184: input, references = 9, size of lhs = 2:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V1,V0,V2) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #185: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V1,V0,V2) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #186: input, references = 3, size of lhs = 4:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V1,V0), sdtmndtplgtdt0-{F}(V3,V0,V2) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #187: input, references = 3, size of lhs = 2:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), aReductOfIn0-{F}(V2,V1,V0) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #188: input, references = 3, size of lhs = 1:
% 2.14/2.33     pppp41-{F}(V0,V2,V2) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #189: input, references = 4, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xR-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #190: input, references = 4, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xa-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #191: input, references = 4, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xb-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #192: input, references = 4, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xc-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #193: input, references = 5, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xu-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #194: input, references = 7, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xv-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #195: input, references = 6, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xw-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #196: input, references = 7, size of lhs = 0:
% 2.14/2.33     FALSE | EXISTS V0: P_xd-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  number of initial rules = 197
% 2.14/2.33  
% 2.14/2.33  Simplifiers:
% 2.14/2.33  #197: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #198: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #199: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #200: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #201: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #202: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #203: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #204: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #205: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #206: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #207: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #208: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xw-{F}(V0), P_xw-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #209: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     P_xd-{F}(V0), P_xd-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #210: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #211: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #212: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #213: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #214: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #215: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #216: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #217: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #218: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #219: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #220: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #221: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #222: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #223: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #224: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #225: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #226: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #227: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #228: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #229: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #230: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #231: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #232: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #233: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #234: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #235: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #236: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #237: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #238: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #239: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #240: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #241: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #242: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #243: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #244: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #245: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #246: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #247: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #248: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #249: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #250: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #251: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #252: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #253: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #254: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #255: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #256: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #257: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #258: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #259: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #260: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #261: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #262: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #263: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #264: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #265: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #266: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #267: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #268: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #269: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #270: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #271: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #272: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #273: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #274: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #275: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #276: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #277: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #278: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #279: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #280: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #281: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #282: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #283: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #284: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #285: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #286: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3), pppp39-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #287: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3), pppp39-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #288: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3), pppp39-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #289: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp39-{F}(V0,V1,V2,V3), pppp39-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #290: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #291: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #292: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #293: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), pppp41-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #294: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), pppp41-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #295: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp41-{F}(V0,V1,V2), pppp41-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #296: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp47-{F}(V0,V1,V2), pppp47-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #297: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #298: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #299: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #300: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #301: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp52-{F}(V0,V1,V2), pppp52-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #302: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp52-{F}(V0,V1,V2), pppp52-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #303: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp52-{F}(V0,V1,V2), pppp52-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #304: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp53-{F}(V0,V1,V2), pppp53-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #305: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp53-{F}(V0,V1,V2), pppp53-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #306: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp53-{F}(V0,V1,V2), pppp53-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #307: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp54-{F}(V0,V1,V2), pppp54-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #308: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp54-{F}(V0,V1,V2), pppp54-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #309: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp54-{F}(V0,V1,V2), pppp54-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #310: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp55-{F}(V0,V1,V2), pppp55-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #311: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp55-{F}(V0,V1,V2), pppp55-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #312: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp55-{F}(V0,V1,V2), pppp55-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #313: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp56-{F}(V0,V1,V2), pppp56-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #314: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp56-{F}(V0,V1,V2), pppp56-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #315: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp56-{F}(V0,V1,V2), pppp56-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #316: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp57-{F}(V0,V1,V2), pppp57-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #317: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp57-{F}(V0,V1,V2), pppp57-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #318: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp57-{F}(V0,V1,V2), pppp57-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #319: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp58-{F}(V0,V1,V2), pppp58-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #320: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp58-{F}(V0,V1,V2), pppp58-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #321: unsound, references = 3, size of lhs = 3:
% 2.14/2.33     pppp58-{F}(V0,V1,V2), pppp58-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  number of simplifiers = 125
% 2.14/2.33  
% 2.14/2.33  Learnt:
% 2.14/2.33  #343: mergings( V1 == V8, V2 == V9, V3 == V10, V4 == V11, V5 == V12, V6 == V13; #335 ), references = 4, size of lhs = 11:
% 2.14/2.33     aElement0-{F}(V0), P_xw-{F}(V0), P_xR-{F}(V1), aRewritingSystem0-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V1,V0), P_xc-{F}(V4), P_xu-{F}(V5), P_xv-{F}(V6) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #355: mergings( V1 == V7, V2 == V4, V3 == V8, V4 == V9, V5 == V10; #349 ), references = 1, size of lhs = 8:
% 2.14/2.33     P_xb-{F}(V0), aElement0-{F}(V0), P_xu-{F}(V0), P_xR-{F}(V1), aRewritingSystem0-{F}(V1), P_xa-{F}(V2), P_xc-{F}(V3), P_xv-{F}(V4) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #361: mergings( V1 == V6, V2 == V4, V3 == V7, V4 == V8; #356 ), references = 1, size of lhs = 7:
% 2.14/2.33     P_xb-{F}(V0), aElement0-{F}(V0), P_xu-{F}(V0), P_xR-{F}(V1), aRewritingSystem0-{F}(V1), P_xa-{F}(V2), P_xc-{F}(V3) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #363: disj( #64, input ), references = 1, size of lhs = 3:
% 2.14/2.33     aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp46-{T}(V2,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #378: exists( #65, #376 ), references = 1, size of lhs = 2:
% 2.14/2.33     pppp46-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #380: disj( #64, exists( #65, #376 ) ), references = 1, size of lhs = 3:
% 2.14/2.33     aElement0-{F}(V0), sdtmndtasgtdt0-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0) | pppp5-{T}(V1,V2,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #387: disj( #96, input, input ), references = 1, size of lhs = 8:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), aElement0-{F}(V5), iLess0-{F}(V5,V1), sdtmndtasgtdt0-{F}(V5,V0,V4) | pppp49-{T}(V5,V4,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #388: disj( #96, input, input ), references = 1, size of lhs = 8:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), aElement0-{F}(V5), iLess0-{F}(V5,V1), sdtmndtplgtdt0-{F}(V5,V0,V4) | pppp49-{T}(V5,V4,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #389: disj( #96, input, input ), references = 8, size of lhs = 10:
% 2.14/2.33     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), aElement0-{F}(V4), iLess0-{F}(V4,V1), aElement0-{F}(V5), sdtmndtasgtdt0-{F}(V4,V0,V5), aElement0-{F}(V6), sdtmndtasgtdt0-{F}(V4,V0,V6) | pppp49-{T}(V6,V5,V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #411: disj( #139, input ), references = 1, size of lhs = 3:
% 2.14/2.33     pppp5-{F}(V0,V1,V2), pppp33-{F}(V1,V3,V4,V2), V2 == V4 | pppp54-{T}(V1,V4,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #412: disj( #139, input ), references = 1, size of lhs = 3:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), pppp33-{F}(V0,V3,V4,V2), V2 == V4 | pppp54-{T}(V0,V4,V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #424: disj( #3, input ), references = 2, size of lhs = 2:
% 2.14/2.33     pppp5-{F}(V0,V1,V2), pppp0-{F}(V2,V1,V3) | pppp42-{T}(V2,V1,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #425: disj( #3, input ), references = 2, size of lhs = 2:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), pppp0-{F}(V2,V0,V3) | pppp42-{T}(V2,V0,V3)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #450: exists( #4, #446 ), references = 2, size of lhs = 2:
% 2.14/2.33     pppp5-{F}(V0,V1,V2), pppp42-{F}(V2,V1,V3) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #451: exists( #4, #447 ), references = 2, size of lhs = 2:
% 2.14/2.33     pppp40-{F}(V0,V1,V2), pppp42-{F}(V2,V0,V3) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #525: exists( #97, #521 ), references = 7, size of lhs = 5:
% 2.14/2.33     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp49-{F}(V2,V1,V0), pppp5-{F}(V3,V0,V1), pppp5-{F}(V4,V0,V1) | pppp27-{T}(V2,V1,V0,V1)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #565: mergings( V1 == V7, V7 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V5 == V11, V6 == V12; #554 ), references = 1, size of lhs = 14:
% 2.14/2.33     aElement0-{F}(V0), P_xw-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), P_xu-{F}(V2), P_xv-{F}(V3), P_xR-{F}(V4), aRewritingSystem0-{F}(V4), P_xa-{F}(V5), P_xc-{F}(V6), aElement0-{F}(V7), aReductOfIn0-{F}(V0,V7,V4), iLess0-{F}(V7,V5), sdtmndtasgtdt0-{F}(V7,V4,V1) | P_xd-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #614: mergings( V1 == V7, V7 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V5 == V11, V6 == V12; #603 ), references = 4, size of lhs = 14:
% 2.14/2.33     aElement0-{F}(V0), P_xw-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), P_xu-{F}(V2), P_xv-{F}(V3), P_xR-{F}(V4), aRewritingSystem0-{F}(V4), P_xa-{F}(V5), P_xc-{F}(V6), aElement0-{F}(V7), sdtmndtplgtdt0-{F}(V7,V4,V0), iLess0-{F}(V7,V5), sdtmndtasgtdt0-{F}(V7,V4,V1) | P_xd-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #682: mergings( V1 == V6, V6 == V9, V9 == V14, V14 == V19, V19 == V22, V22 == V29, V2 == V7, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V28, V3 == V8, V8 == V11, V11 == V16, V16 == V21, V21 == V24, V24 == V30, V4 == V12, V12 == V17, V17 == V25, V25 == V31, V5 == V13, V13 == V18, V18 == V26, V26 == V32; #653 ), references = 5, size of lhs = 11:
% 2.14/2.33     aElement0-{F}(V0), P_xv-{F}(V0), iLess0-{F}(V0,V1), P_xa-{F}(V1), P_xR-{F}(V2), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V2,V3), P_xb-{F}(V3), aElement0-{F}(V3), P_xc-{F}(V4), P_xu-{F}(V5) | P_xw-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #709: mergings( V1 == V6, V6 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V29, V2 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V21, V21 == V24, V3 == V8, V8 == V12, V12 == V17, V17 == V22, V22 == V25, V25 == V30, V4 == V13, V13 == V18, V18 == V26, V26 == V31, V5 == V14, V14 == V19, V19 == V27, V27 == V32; #654 ), references = 1, size of lhs = 11:
% 2.14/2.33     aElement0-{F}(V0), P_xv-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), P_xR-{F}(V3), sdtmndtasgtdt0-{F}(V0,V3,V1), aRewritingSystem0-{F}(V3), P_xc-{F}(V4), P_xu-{F}(V5) | P_xw-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #749: mergings( V4 == V14, V5 == V8, V8 == V15, V15 == V17, V1 == V2, V2 == V9, V9 == V12, V12 == V18, V18 == V6, V6 == V10, V10 == V16, V16 == V19, V3 == V7, V7 == V11, V11 == V13, V13 == V20; #732 ), references = 1, size of lhs = 12:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), aElement0-{F}(V2), iLess0-{F}(V2,V1), P_xu-{F}(V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V2,V0,V3), P_xb-{F}(V3), P_xc-{F}(V3) | P_xv-{T}(V3), P_xv-{T}(V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #785: mergings( V1 == V7, V7 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V5 == V11, V6 == V12; #774 ), references = 4, size of lhs = 12:
% 2.14/2.33     aElement0-{F}(V0), P_xw-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), P_xu-{F}(V2), P_xv-{F}(V3), P_xR-{F}(V4), aRewritingSystem0-{F}(V4), sdtmndtasgtdt0-{F}(V0,V4,V1), P_xa-{F}(V5), iLess0-{F}(V0,V5), P_xc-{F}(V6) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #821: mergings( V3 == V13, V13 == V21, V21 == V33, V4 == V7, V7 == V14, V14 == V16, V16 == V20, V20 == V25, V25 == V29, V29 == V34, V0 == V1, V1 == V8, V8 == V11, V11 == V17, V17 == V22, V22 == V26, V26 == V30, V30 == V35, V35 == V5, V5 == V9, V9 == V15, V15 == V18, V18 == V23, V23 == V27, V27 == V31, V31 == V36, V2 == V6, V6 == V10, V10 == V12, V12 == V19, V19 == V24, V24 == V28, V28 == V32; #787 ), references = 1, size of lhs = 14:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), aElement0-{F}(V2), iLess0-{F}(V2,V1), P_xu-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V3), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V3,V0,V3), iLess0-{F}(V3,V1), P_xb-{F}(V3), P_xc-{F}(V3) | P_xv-{T}(V2)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #861: mergings( V2 == V6, V6 == V17, V17 == V26, V3 == V7, V7 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V27, V4 == V5, V5 == V10, V10 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V28, V28 == V31, V1 == V31, V31 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V25 == V29, V29 == V30, V30 == V32; #831 ), references = 1, size of lhs = 10:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V0,V2), iLess0-{F}(V2,V1), P_xb-{F}(V2), P_xc-{F}(V2) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #884: mergings( V1 == V8, V2 == V6, V6 == V10, V3 == V7, V7 == V9; #878 ), references = 1, size of lhs = 11:
% 2.14/2.33     aElement0-{F}(V0), P_xc-{F}(V0), pppp4-{F}(V1), P_xR-{F}(V1), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), P_xa-{F}(V2), aElement0-{F}(V3), P_xb-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xu-{F}(V4) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #983: mergings( V1 == V9, V9 == V11, V11 == V16, V16 == V21, V2 == V6, V6 == V12, V12 == V17, V17 == V20, V3 == V10, V10 == V13, V13 == V18, V18 == V22, V4 == V7, V7 == V14, V14 == V23, V5 == V8, V8 == V15, V15 == V24; #962 ), references = 1, size of lhs = 11:
% 2.14/2.33     aElement0-{F}(V0), P_xu-{F}(V0), iLess0-{F}(V0,V1), P_xa-{F}(V1), P_xR-{F}(V2), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V2,V3), P_xb-{F}(V3), aElement0-{F}(V3), P_xc-{F}(V4), P_xv-{F}(V5) | P_xw-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1002: mergings( V1 == V9, V9 == V11, V11 == V16, V16 == V22, V2 == V6, V6 == V12, V12 == V17, V17 == V23, V3 == V10, V10 == V13, V13 == V18, V18 == V24, V4 == V7, V7 == V14, V14 == V19, V5 == V8, V8 == V15, V15 == V20; #963 ), references = 1, size of lhs = 11:
% 2.14/2.33     aElement0-{F}(V0), P_xu-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), P_xv-{F}(V2), P_xR-{F}(V3), aRewritingSystem0-{F}(V3), sdtmndtasgtdt0-{F}(V0,V3,V1), P_xa-{F}(V4), iLess0-{F}(V0,V4), P_xc-{F}(V5) | P_xw-{T}(V0)
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1025: mergings( V16 == V23, V1 == V7, V7 == V9, V9 == V13, V13 == V18, V18 == V24, V2 == V5, V5 == V10, V10 == V14, V14 == V17, V17 == V21, V3 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V25, V4 == V6, V6 == V12, V12 == V20, V20 == V22; #1004 ), references = 1, size of lhs = 10:
% 2.14/2.33     aElement0-{F}(V0), P_xu-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), P_xR-{F}(V2), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V2,V1), P_xa-{F}(V3), iLess0-{F}(V0,V3), P_xc-{F}(V4) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1046: mergings( V3 == V4, V4 == V8, V8 == V13, V5 == V9, V9 == V11, V11 == V15, V1 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16; #1033 ), references = 1, size of lhs = 8:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), aElement0-{F}(V2), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1060: mergings( V1 == V3, V3 == V5, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V2 == V8, V8 == V10, V10 == V11, V11 == V13; #1049 ), references = 1, size of lhs = 5:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1068: mergings( V1 == V2, V2 == V4, V3 == V5, V5 == V6, V6 == V7, V7 == V8; #1061 ), references = 1, size of lhs = 4:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0), P_xa-{F}(V1) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1072: mergings( V1 == V2, V2 == V3; #1069 ), references = 1, size of lhs = 3:
% 2.14/2.33     pppp4-{F}(V0), P_xR-{F}(V0), aRewritingSystem0-{F}(V0) | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  #1078: exists( #189, #1076 ), references = 1, size of lhs = 0:
% 2.14/2.33     FALSE | FALSE
% 2.14/2.33        (used 0 times, uses = {})
% 2.14/2.33  
% 2.14/2.33  number of learnt formulas = 33
% 2.14/2.33  
% 2.14/2.33  
% 2.14/2.33  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.33  
% 2.14/2.33  randbase = 1
%------------------------------------------------------------------------------