TSTP Solution File: COM018+4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COM018+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 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 16:57:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.50  GeoParameters:
% 0.20/0.50  
% 0.20/0.50  tptp_input =     1
% 0.20/0.50  tptp_output =    0
% 0.20/0.50  nonempty =       1
% 0.20/0.50  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  
% 0.20/0.50  RuleSystem INPUT:
% 0.20/0.50  
% 0.20/0.50  Initial Rules:
% 0.20/0.50  #0: input, references = 3, size of lhs = 3:
% 0.20/0.50     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #1: input, references = 3, size of lhs = 4:
% 0.20/0.50     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #2: input, references = 3, size of lhs = 4:
% 0.20/0.50     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #3: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp41-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #4: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp41-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #5: input, references = 3, size of lhs = 1:
% 0.20/0.50     aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #6: input, references = 3, size of lhs = 3:
% 0.20/0.50     aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #7: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #8: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #9: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #10: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #11: input, references = 3, size of lhs = 4:
% 0.20/0.50     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #12: input, references = 3, size of lhs = 4:
% 0.20/0.50     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #13: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #14: input, references = 3, size of lhs = 2:
% 0.20/0.50     #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #15: input, references = 3, size of lhs = 1:
% 0.20/0.50     sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #16: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #17: input, references = 3, size of lhs = 2:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #18: input, references = 3, size of lhs = 2:
% 0.20/0.50     aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #19: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #20: input, references = 3, size of lhs = 1:
% 0.20/0.50     #-{F} V0 | pppp2-{T}(V0), pppp42-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #21: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp42-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #22: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #23: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #24: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #25: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #26: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #27: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #28: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #29: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #30: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #31: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #32: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #33: input, references = 3, size of lhs = 2:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #34: input, references = 3, size of lhs = 2:
% 0.20/0.50     aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #35: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #36: input, references = 3, size of lhs = 1:
% 0.20/0.50     #-{F} V0 | pppp3-{T}(V0), pppp43-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #37: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp43-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #38: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #39: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #40: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #41: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #42: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #43: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #44: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #45: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #46: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #47: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #48: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #49: input, references = 3, size of lhs = 2:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #50: input, references = 3, size of lhs = 2:
% 0.20/0.50     aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #51: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #52: input, references = 3, size of lhs = 1:
% 0.20/0.50     #-{F} V0 | pppp4-{T}(V0), pppp44-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #53: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp44-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #54: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #55: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #56: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #57: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #58: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #59: input, references = 3, size of lhs = 3:
% 0.20/0.50     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #60: input, references = 3, size of lhs = 3:
% 0.20/0.50     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #61: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #62: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #63: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #64: input, references = 4, size of lhs = 2:
% 0.20/0.50     aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp45-{T}(V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #65: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp45-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #66: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #67: input, references = 4, size of lhs = 3:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #68: input, references = 4, size of lhs = 1:
% 0.20/0.50     pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #69: input, references = 4, size of lhs = 1:
% 0.20/0.50     P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #70: input, references = 4, size of lhs = 1:
% 0.20/0.50     P_xR-{F}(V0) | pppp23-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #71: input, references = 4, size of lhs = 1:
% 0.20/0.50     pppp23-{F}(V0) | isTerminating0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #72: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #73: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #74: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp23-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), aReductOfIn0-{F}(V1,V2,V0) | iLess0-{T}(V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #75: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp23-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #76: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #77: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp22-{F}(V0,V1,V2,V3) | pppp21-{T}(V0,V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #78: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #79: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #80: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp46-{T}(V1,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #81: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp46-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #82: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #83: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #84: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp47-{T}(V0,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #85: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp47-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #86: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #87: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp20-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #88: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp20-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #89: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp20-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #90: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp19-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #91: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp19-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #92: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #93: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #94: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #95: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #96: input, references = 3, size of lhs = 8:
% 0.20/0.50     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), pppp48-{T}(V6,V5,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #97: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp48-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #98: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp29-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #99: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp29-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #100: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp29-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #101: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp29-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #102: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp29-{F}(V1,V1,V2) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #103: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp28-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V0,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #104: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp28-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V0,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #105: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp28-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V2), sdtmndtplgtdt0-{F}(V3,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #106: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp28-{F}(V0,V1,V2), aReductOfIn0-{F}(V1,V0,V2) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #107: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp28-{F}(V1,V1,V2) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #108: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp27-{F}(V0,V1,V2,V3) | pppp26-{T}(V0,V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #109: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #110: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3), V1 == V2 | sdtmndtplgtdt0-{T}(V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #111: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3), V1 == V2 | aReductOfIn0-{T}(V2,V1,V3), pppp49-{T}(V1,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #112: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp49-{F}(V0,V1,V2) | EXISTS V3: pppp25-{T}(V0,V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #113: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #114: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #115: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3), V0 == V2 | aReductOfIn0-{T}(V2,V0,V3), pppp50-{T}(V0,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #116: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp50-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V3,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #117: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #118: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp25-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #119: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp25-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #120: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp25-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #121: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp24-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V2,V3,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #122: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp24-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #123: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp24-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #124: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V2,V1,V0), pppp51-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #125: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp51-{F}(V0,V1,V2) | EXISTS V3: pppp30-{T}(V3,V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #126: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #127: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aReductOfIn0-{T}(V3,V1,V0), pppp52-{T}(V0,V1,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #128: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp52-{F}(V0,V1,V2) | EXISTS V3: pppp31-{T}(V3,V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #129: input, references = 3, size of lhs = 4:
% 0.20/0.50     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #130: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #131: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #132: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #133: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #134: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #135: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #136: input, references = 3, size of lhs = 5:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #137: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V3,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #138: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3), V3 == V2 | sdtmndtplgtdt0-{T}(V3,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #139: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3), V3 == V2 | aReductOfIn0-{T}(V2,V3,V0), pppp53-{T}(V0,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #140: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp53-{F}(V0,V1,V2) | EXISTS V3: pppp32-{T}(V3,V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #141: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #142: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #143: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #144: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V3,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #145: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #146: input, references = 3, size of lhs = 6:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #147: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V3,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #148: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3), V3 == V2 | sdtmndtplgtdt0-{T}(V3,V0,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #149: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3), V3 == V2 | aReductOfIn0-{T}(V2,V3,V0), pppp54-{T}(V0,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #150: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp54-{F}(V0,V1,V2) | EXISTS V3: pppp34-{T}(V3,V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #151: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #152: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #153: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #154: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V3,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #155: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #156: input, references = 4, size of lhs = 7:
% 0.20/0.50     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)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #157: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #158: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), V2 == V3 | sdtmndtplgtdt0-{T}(V2,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #159: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), V2 == V3 | aReductOfIn0-{T}(V3,V2,V0), pppp55-{T}(V0,V2,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #160: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp55-{F}(V0,V1,V2) | EXISTS V3: pppp37-{T}(V3,V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #161: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #162: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), V1 == V3 | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #163: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), V1 == V3 | aReductOfIn0-{T}(V3,V1,V0), pppp56-{T}(V0,V1,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #164: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp56-{F}(V0,V1,V2) | EXISTS V3: pppp36-{T}(V3,V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #165: input, references = 4, size of lhs = 1:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #166: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #167: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #168: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #169: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V0,V1,V3)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #170: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V0,V2,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #171: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3) | aElement0-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #172: input, references = 3, size of lhs = 8:
% 0.20/0.50     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), aElement0-{F}(V7) | pppp40-{T}(V7,V0,V6), pppp57-{T}(V7,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #173: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp57-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V0,V1,V2)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #174: input, references = 4, size of lhs = 8:
% 0.20/0.50     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), aNormalFormOfIn0-{F}(V7,V6,V0) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #175: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp40-{F}(V0,V1,V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #176: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp40-{F}(V0,V1,V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #177: input, references = 3, size of lhs = 4:
% 0.20/0.50     pppp40-{F}(V0,V1,V2), aElement0-{F}(V3), aReductOfIn0-{F}(V3,V2,V1), sdtmndtplgtdt0-{F}(V3,V1,V0) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #178: input, references = 3, size of lhs = 2:
% 0.20/0.50     pppp40-{F}(V0,V1,V2), aReductOfIn0-{F}(V0,V2,V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #179: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp40-{F}(V0,V1,V0) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #180: input, references = 3, size of lhs = 1:
% 0.20/0.50     pppp39-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #181: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #182: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #183: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #184: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #185: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xu-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #186: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xv-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #187: input, references = 4, size of lhs = 0:
% 0.20/0.50     FALSE | EXISTS V0: P_xw-{T}(V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  number of initial rules = 188
% 0.20/0.50  
% 0.20/0.50  Simplifiers:
% 0.20/0.50  #188: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #189: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #190: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #191: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #192: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #193: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #194: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #195: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #196: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #197: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #198: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #199: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     P_xw-{F}(V0), P_xw-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #200: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #201: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #202: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #203: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #204: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #205: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #206: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #207: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #208: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #209: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #210: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #211: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #212: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #213: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #214: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #215: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #216: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #217: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #218: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #219: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #220: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #221: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #222: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #223: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #224: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #225: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #226: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #227: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #228: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #229: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #230: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #231: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #232: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #233: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp25-{F}(V0,V1,V2,V3), pppp25-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #234: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #235: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #236: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #237: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #238: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #239: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #240: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #241: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #242: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #243: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp30-{F}(V0,V1,V2,V3), pppp30-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #244: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #245: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #246: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #247: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp31-{F}(V0,V1,V2,V3), pppp31-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #248: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #249: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #250: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #251: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #252: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #253: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #254: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #255: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp33-{F}(V0,V1,V2,V3), pppp33-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #256: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #257: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #258: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #259: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp34-{F}(V0,V1,V2,V3), pppp34-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #260: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #261: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #262: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #263: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp35-{F}(V0,V1,V2,V3), pppp35-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #264: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #265: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #266: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #267: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #268: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #269: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #270: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #271: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #272: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #273: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #274: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #275: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp38-{F}(V0,V1,V2,V3), pppp38-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #276: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp39-{F}(V0,V1,V2), pppp39-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #277: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp39-{F}(V0,V1,V2), pppp39-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #278: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #279: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #280: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp46-{F}(V0,V1,V2), pppp46-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #281: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp47-{F}(V0,V1,V2), pppp47-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #282: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp48-{F}(V0,V1,V2), pppp48-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #283: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #284: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp50-{F}(V0,V1,V2), pppp50-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #285: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #286: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #287: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp51-{F}(V0,V1,V2), pppp51-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #288: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp52-{F}(V0,V1,V2), pppp52-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #289: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp52-{F}(V0,V1,V2), pppp52-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #290: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp52-{F}(V0,V1,V2), pppp52-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #291: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp53-{F}(V0,V1,V2), pppp53-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #292: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp53-{F}(V0,V1,V2), pppp53-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #293: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp53-{F}(V0,V1,V2), pppp53-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #294: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp54-{F}(V0,V1,V2), pppp54-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #295: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp54-{F}(V0,V1,V2), pppp54-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #296: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp54-{F}(V0,V1,V2), pppp54-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #297: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp55-{F}(V0,V1,V2), pppp55-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #298: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp55-{F}(V0,V1,V2), pppp55-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #299: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp55-{F}(V0,V1,V2), pppp55-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #300: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp56-{F}(V0,V1,V2), pppp56-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #301: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp56-{F}(V0,V1,V2), pppp56-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #302: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp56-{F}(V0,V1,V2), pppp56-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #303: unsound, references = 3, size of lhs = 3:
% 0.20/0.50     pppp57-{F}(V0,V1), pppp57-{F}(V2,V3), V1 == V3 | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  number of simplifiers = 116
% 0.20/0.50  
% 0.20/0.50  Learnt:
% 0.20/0.50  #305: disj( #64, input ), references = 1, size of lhs = 3:
% 0.20/0.50     aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp45-{T}(V2,V0)
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #308: exists( #67, #306 ), references = 2, size of lhs = 10:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xw-{F}(V1), P_xa-{F}(V2), P_xb-{F}(V3), P_xc-{F}(V4), P_xu-{F}(V5), P_xv-{F}(V6) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #318: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #311 ), references = 1, size of lhs = 8:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #325: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #319 ), references = 1, size of lhs = 7:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #331: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8; #326 ), references = 1, size of lhs = 6:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #336: mergings( V1 == V4, V2 == V5, V3 == V6; #332 ), references = 1, size of lhs = 5:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #340: mergings( V1 == V3, V2 == V4; #337 ), references = 1, size of lhs = 4:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #343: mergings( V1 == V2; #341 ), references = 1, size of lhs = 3:
% 0.20/0.50     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), P_xR-{F}(V0) | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  #348: exists( #181, #346 ), references = 1, size of lhs = 0:
% 0.20/0.50     FALSE | FALSE
% 0.20/0.50        (used 0 times, uses = {})
% 0.20/0.50  
% 0.20/0.50  number of learnt formulas = 9
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  
% 0.20/0.50  randbase = 1
%------------------------------------------------------------------------------