TSTP Solution File: COM020+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n026.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 0.71s 0.89s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n026.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 17:13:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/0.89  GeoParameters:
% 0.71/0.89  
% 0.71/0.89  tptp_input =     1
% 0.71/0.89  tptp_output =    0
% 0.71/0.89  nonempty =       1
% 0.71/0.89  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.89  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.71/0.89  
% 0.71/0.89  
% 0.71/0.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.89  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.89  
% 0.71/0.89  RuleSystem INPUT:
% 0.71/0.89  
% 0.71/0.89  Initial Rules:
% 0.71/0.89  #0: input, references = 3, size of lhs = 3:
% 0.71/0.89     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aReductOfIn0-{F}(V2,V1,V0) | aElement0-{T}(V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #1: input, references = 3, size of lhs = 4:
% 0.71/0.89     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V1,V0) | pppp0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #2: input, references = 4, size of lhs = 4:
% 0.71/0.89     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp0-{F}(V2,V1,V0) | sdtmndtplgtdt0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #3: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp0-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V0,V1), pppp20-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #4: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #5: input, references = 4, size of lhs = 1:
% 0.71/0.89     aReductOfIn0-{F}(V2,V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #6: input, references = 3, size of lhs = 3:
% 0.71/0.89     aElement0-{F}(V3), aReductOfIn0-{F}(V3,V0,V1), sdtmndtplgtdt0-{F}(V3,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #7: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp6-{F}(V0,V1,V2,V3) | sdtmndtplgtdt0-{T}(V3,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #8: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp6-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V0,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #9: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp6-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #10: input, references = 3, size of lhs = 6:
% 0.71/0.89     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)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #11: input, references = 3, size of lhs = 4:
% 0.71/0.89     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #12: input, references = 4, size of lhs = 4:
% 0.71/0.89     aElement0-{F}(V0), aRewritingSystem0-{F}(V1), aElement0-{F}(V2), pppp1-{F}(V2,V1,V0) | sdtmndtasgtdt0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #13: input, references = 3, size of lhs = 2:
% 0.71/0.89     pppp1-{F}(V0,V1,V2), V0 == V2 | sdtmndtplgtdt0-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #14: input, references = 4, size of lhs = 2:
% 0.71/0.89     #-{F} V2, #-{F} V1 | pppp1-{T}(V2,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #15: input, references = 3, size of lhs = 1:
% 0.71/0.89     sdtmndtplgtdt0-{F}(V0,V1,V2) | pppp1-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #16: input, references = 5, size of lhs = 6:
% 0.71/0.89     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)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #17: input, references = 3, size of lhs = 2:
% 0.71/0.89     aRewritingSystem0-{F}(V0), isConfluent0-{F}(V0) | pppp2-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #18: input, references = 3, size of lhs = 2:
% 0.71/0.89     aRewritingSystem0-{F}(V0), pppp2-{F}(V0) | isConfluent0-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #19: input, references = 3, size of lhs = 6:
% 0.71/0.89     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)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #20: input, references = 3, size of lhs = 1:
% 0.71/0.89     #-{F} V0 | pppp2-{T}(V0), pppp21-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #21: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #22: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #23: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp10-{F}(V0,V1) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #24: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #25: input, references = 3, size of lhs = 4:
% 0.71/0.89     pppp9-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #26: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp9-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #27: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #28: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp8-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #29: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp8-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #30: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #31: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp7-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #32: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp7-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #33: input, references = 3, size of lhs = 2:
% 0.71/0.89     aRewritingSystem0-{F}(V0), isLocallyConfluent0-{F}(V0) | pppp3-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #34: input, references = 3, size of lhs = 2:
% 0.71/0.89     aRewritingSystem0-{F}(V0), pppp3-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #35: input, references = 3, size of lhs = 6:
% 0.71/0.89     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)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #36: input, references = 3, size of lhs = 1:
% 0.71/0.89     #-{F} V0 | pppp3-{T}(V0), pppp22-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #37: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp22-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #38: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #39: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp14-{F}(V0,V1) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #40: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #41: input, references = 3, size of lhs = 4:
% 0.71/0.89     pppp13-{F}(V0,V1,V2), aElement0-{F}(V3), sdtmndtasgtdt0-{F}(V1,V0,V3), sdtmndtasgtdt0-{F}(V2,V0,V3) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #42: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp13-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #43: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V3,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #44: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp12-{F}(V0,V1,V2,V3) | aReductOfIn0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #45: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp12-{F}(V0,V1,V2,V3) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #46: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V2,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #47: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp11-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #48: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp11-{F}(V0,V1,V2,V3) | aElement0-{T}(V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #49: input, references = 4, size of lhs = 2:
% 0.71/0.89     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0) | pppp4-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #50: input, references = 3, size of lhs = 2:
% 0.71/0.89     aRewritingSystem0-{F}(V0), pppp4-{F}(V0) | isTerminating0-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #51: input, references = 4, size of lhs = 4:
% 0.71/0.89     pppp4-{F}(V0), aElement0-{F}(V1), aElement0-{F}(V2), sdtmndtplgtdt0-{F}(V2,V0,V1) | iLess0-{T}(V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #52: input, references = 3, size of lhs = 1:
% 0.71/0.89     #-{F} V0 | pppp4-{T}(V0), pppp23-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #53: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #54: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #55: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp16-{F}(V0,V1) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #56: input, references = 3, size of lhs = 2:
% 0.71/0.89     pppp15-{F}(V0,V1,V2), iLess0-{F}(V2,V1) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #57: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp15-{F}(V0,V1,V2) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #58: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp15-{F}(V0,V1,V2) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #59: input, references = 6, size of lhs = 3:
% 0.71/0.89     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), aNormalFormOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V1,V0,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #60: input, references = 3, size of lhs = 3:
% 0.71/0.89     aRewritingSystem0-{F}(V0), aElement0-{F}(V1), pppp5-{F}(V1,V0,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #61: input, references = 6, size of lhs = 1:
% 0.71/0.89     pppp5-{F}(V0,V1,V2) | aElement0-{T}(V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #62: input, references = 6, size of lhs = 1:
% 0.71/0.89     pppp5-{F}(V0,V1,V2) | sdtmndtasgtdt0-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #63: input, references = 3, size of lhs = 2:
% 0.71/0.89     pppp5-{F}(V0,V1,V2), aReductOfIn0-{F}(V3,V2,V1) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #64: input, references = 4, size of lhs = 2:
% 0.71/0.89     aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #65: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp24-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #66: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp17-{F}(V0,V1,V2) | aReductOfIn0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #67: input, references = 3, size of lhs = 3:
% 0.71/0.89     aRewritingSystem0-{F}(V0), isTerminating0-{F}(V0), aElement0-{F}(V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #68: input, references = 3, size of lhs = 1:
% 0.71/0.89     pppp18-{F}(V0,V1,V2) | aNormalFormOfIn0-{T}(V2,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #69: input, references = 4, size of lhs = 1:
% 0.71/0.89     P_xR-{F}(V0) | aRewritingSystem0-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #70: input, references = 3, size of lhs = 1:
% 0.71/0.89     P_xR-{F}(V0) | isLocallyConfluent0-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #71: input, references = 4, size of lhs = 1:
% 0.71/0.89     P_xR-{F}(V0) | isTerminating0-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #72: input, references = 4, size of lhs = 4:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V1)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #73: input, references = 4, size of lhs = 4:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #74: input, references = 3, size of lhs = 4:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | aElement0-{T}(V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #75: input, references = 4, size of lhs = 10:
% 0.71/0.89     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) | EXISTS V7: pppp19-{T}(V6,V5,V7,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #76: input, references = 4, size of lhs = 1:
% 0.71/0.89     pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V1,V3,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #77: input, references = 4, size of lhs = 1:
% 0.71/0.89     pppp19-{F}(V0,V1,V2,V3) | sdtmndtasgtdt0-{T}(V0,V3,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #78: input, references = 4, size of lhs = 1:
% 0.71/0.89     pppp19-{F}(V0,V1,V2,V3) | aElement0-{T}(V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #79: input, references = 3, size of lhs = 4:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #80: input, references = 3, size of lhs = 4:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3) | sdtmndtplgtdt0-{T}(V1,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #81: input, references = 4, size of lhs = 5:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | aElement0-{T}(V4)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #82: input, references = 4, size of lhs = 5:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | aReductOfIn0-{T}(V4,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #83: input, references = 4, size of lhs = 5:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4) | sdtmndtasgtdt0-{T}(V4,V0,V2)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #84: input, references = 3, size of lhs = 6:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | aElement0-{T}(V5)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #85: input, references = 3, size of lhs = 6:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | aReductOfIn0-{T}(V5,V1,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #86: input, references = 3, size of lhs = 6:
% 0.71/0.89     P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2), P_xc-{F}(V3), P_xu-{F}(V4), P_xv-{F}(V5) | sdtmndtasgtdt0-{T}(V5,V0,V3)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #87: input, references = 5, size of lhs = 7:
% 0.71/0.89     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-{T}(V6)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #88: input, references = 5, size of lhs = 7:
% 0.71/0.89     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) | sdtmndtasgtdt0-{T}(V4,V0,V6)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #89: input, references = 3, size of lhs = 7:
% 0.71/0.89     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) | sdtmndtasgtdt0-{T}(V5,V0,V6)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #90: input, references = 6, size of lhs = 8:
% 0.71/0.89     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) | aNormalFormOfIn0-{T}(V7,V6,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #91: input, references = 5, size of lhs = 11:
% 0.71/0.89     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), aElement0-{F}(V8), sdtmndtasgtdt0-{F}(V2,V0,V8), sdtmndtasgtdt0-{F}(V7,V0,V8) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #92: input, references = 4, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xR-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #93: input, references = 4, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xa-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #94: input, references = 4, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xb-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #95: input, references = 4, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xc-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #96: input, references = 4, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xu-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #97: input, references = 5, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xv-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #98: input, references = 5, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xw-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #99: input, references = 6, size of lhs = 0:
% 0.71/0.89     FALSE | EXISTS V0: P_xd-{T}(V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  number of initial rules = 100
% 0.71/0.89  
% 0.71/0.89  Simplifiers:
% 0.71/0.89  #100: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     aRewritingSystem0-{F}(V0), aRewritingSystem0-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #101: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     isConfluent0-{F}(V0), isConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #102: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     isLocallyConfluent0-{F}(V0), isLocallyConfluent0-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #103: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     isTerminating0-{F}(V0), isTerminating0-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #104: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     aNormalFormOfIn0-{F}(V0,V1,V2), aNormalFormOfIn0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #105: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xR-{F}(V0), P_xR-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #106: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xa-{F}(V0), P_xa-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #107: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xb-{F}(V0), P_xb-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #108: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xc-{F}(V0), P_xc-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #109: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xu-{F}(V0), P_xu-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #110: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xv-{F}(V0), P_xv-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #111: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xw-{F}(V0), P_xw-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #112: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     P_xd-{F}(V0), P_xd-{F}(V1), V0 == V1 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #113: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #114: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #115: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #116: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #117: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #118: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #119: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #120: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #121: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #122: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #123: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #124: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #125: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #126: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #127: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #128: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #129: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #130: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #131: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #132: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #133: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #134: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #135: unsound, references = 3, size of lhs = 3:
% 0.71/0.89     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  number of simplifiers = 36
% 0.71/0.89  
% 0.71/0.89  Learnt:
% 0.71/0.89  #150: mergings( V1 == V9, V2 == V7, V3 == V10, V4 == V11, V5 == V12, V6 == V13; #143 ), references = 2, size of lhs = 11:
% 0.71/0.89     aElement0-{F}(V0), P_xw-{F}(V0), aElement0-{F}(V1), P_xb-{F}(V1), aRewritingSystem0-{F}(V2), sdtmndtasgtdt0-{F}(V1,V2,V0), P_xR-{F}(V2), P_xa-{F}(V3), P_xc-{F}(V4), P_xu-{F}(V5), P_xv-{F}(V6) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #166: mergings( V1 == V12, V2 == V7, V7 == V13, V3 == V8, V8 == V10, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V6 == V11, V11 == V16; #154 ), references = 1, size of lhs = 8:
% 0.71/0.89     aElement0-{F}(V0), P_xb-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), P_xa-{F}(V2), P_xc-{F}(V3), P_xv-{F}(V4) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #177: mergings( V1 == V10, V2 == V6, V6 == V11, V3 == V7, V7 == V9, V4 == V8, V8 == V12, V5 == V9, V9 == V13; #167 ), references = 1, size of lhs = 7:
% 0.71/0.89     aElement0-{F}(V0), P_xb-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), P_xa-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #179: disj( #64, input ), references = 1, size of lhs = 3:
% 0.71/0.89     aElement0-{F}(V0), aReductOfIn0-{F}(V1,V0,V2), sdtmndtasgtdt0-{F}(V3,V2,V0) | pppp24-{T}(V2,V0)
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #212: mergings( V1 == V8, V2 == V5, V3 == V9; #208 ), references = 2, size of lhs = 14:
% 0.71/0.89     aElement0-{F}(V0), iLess0-{F}(V0,V1), P_xa-{F}(V1), aElement0-{F}(V2), P_xb-{F}(V2), aElement0-{F}(V3), P_xd-{F}(V3), P_xR-{F}(V4), sdtmndtasgtdt0-{F}(V0,V4,V2), sdtmndtasgtdt0-{F}(V0,V4,V3), P_xc-{F}(V5), P_xu-{F}(V6), P_xv-{F}(V7), P_xw-{F}(V8) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #227: mergings( V1 == V8, V8 == V12, V2 == V9, V9 == V11, V3 == V10, V10 == V13, V4 == V14, V5 == V15, V6 == V16; #217 ), references = 1, size of lhs = 12:
% 0.71/0.89     aElement0-{F}(V0), P_xw-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), aElement0-{F}(V3), P_xb-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xc-{F}(V4), P_xu-{F}(V5), P_xv-{F}(V6) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #246: mergings( V1 == V9, V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14; #239 ), references = 1, size of lhs = 14:
% 0.71/0.89     aElement0-{F}(V0), P_xw-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), aElement0-{F}(V2), sdtmndtasgtdt0-{F}(V2,V1,V0), iLess0-{F}(V2,V3), P_xa-{F}(V3), aElement0-{F}(V4), P_xb-{F}(V4), sdtmndtasgtdt0-{F}(V2,V1,V4), P_xc-{F}(V5), P_xu-{F}(V6), P_xv-{F}(V7) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #266: mergings( V1 == V17, V2 == V7, V7 == V12, V12 == V18, V3 == V8, V8 == V13, V13 == V19, V4 == V9, V9 == V14, V14 == V20, V5 == V10, V10 == V15, V15 == V21, V6 == V11, V11 == V16, V16 == V22; #249 ), references = 1, size of lhs = 11:
% 0.71/0.89     aElement0-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), aElement0-{F}(V3), P_xb-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xc-{F}(V4), P_xv-{F}(V5) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #281: mergings( V1 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V4 == V8, V8 == V12, V12 == V17, V5 == V9, V9 == V13, V13 == V18; #267 ), references = 1, size of lhs = 10:
% 0.71/0.89     aElement0-{F}(V0), P_xu-{F}(V0), aRewritingSystem0-{F}(V1), P_xR-{F}(V1), iLess0-{F}(V0,V2), P_xa-{F}(V2), aElement0-{F}(V3), P_xb-{F}(V3), sdtmndtasgtdt0-{F}(V0,V1,V3), P_xc-{F}(V4) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #308: mergings( V5 == V21, V1 == V11, V11 == V21, V2 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18, V3 == V6, V6 == V13, V13 == V16, V16 == V19, V19 == V22, V4 == V7, V7 == V9, V9 == V14, V14 == V17, V17 == V20, V20 == V23; #288 ), references = 1, size of lhs = 8:
% 0.71/0.89     pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), aElement0-{F}(V1), P_xa-{F}(V1), aElement0-{F}(V2), P_xb-{F}(V2), P_xc-{F}(V3) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #329: mergings( V8 == V19, V1 == V3, V3 == V5, V5 == V12, V12 == V19, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20; #311 ), references = 1, size of lhs = 5:
% 0.71/0.89     pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1), P_xb-{F}(V2) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #342: mergings( V6 == V13, V1 == V2, V2 == V4, V4 == V9, V9 == V13, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12; #330 ), references = 1, size of lhs = 4:
% 0.71/0.89     pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0), P_xa-{F}(V1) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #349: mergings( V4 == V6, V1 == V2, V2 == V3, V3 == V5, V5 == V6; #343 ), references = 1, size of lhs = 3:
% 0.71/0.89     pppp4-{F}(V0), aRewritingSystem0-{F}(V0), P_xR-{F}(V0) | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  #354: exists( #92, #352 ), references = 1, size of lhs = 0:
% 0.71/0.89     FALSE | FALSE
% 0.71/0.89        (used 0 times, uses = {})
% 0.71/0.89  
% 0.71/0.89  number of learnt formulas = 14
% 0.71/0.89  
% 0.71/0.89  
% 0.71/0.89  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.89  
% 0.71/0.89  randbase = 1
%------------------------------------------------------------------------------