TSTP Solution File: GRP125-2.005 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP125-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:03:15 EDT 2022

% Result   : Unsatisfiable 6.49s 6.67s
% Output   : Refutation 6.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP125-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 14:00:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 6.49/6.67  GeoParameters:
% 6.49/6.67  
% 6.49/6.67  tptp_input =     1
% 6.49/6.67  tptp_output =    0
% 6.49/6.67  nonempty =       1
% 6.49/6.67  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.49/6.67  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.49/6.67  
% 6.49/6.67  
% 6.49/6.67  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.49/6.67  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.49/6.67  
% 6.49/6.67  RuleSystem INPUT:
% 6.49/6.67  
% 6.49/6.67  Initial Rules:
% 6.49/6.67  #0: input, references = 3, size of lhs = 2:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1: input, references = 4, size of lhs = 3:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | next-{T}(V1,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2: input, references = 4, size of lhs = 4:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | next-{T}(V2,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3: input, references = 3, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | next-{T}(V3,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V1,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #5: input, references = 3, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V2,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #6: input, references = 3, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V3,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #7: input, references = 3, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V4,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #8: input, references = 3, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V2,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #9: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V3,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #10: input, references = 3, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V4,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #11: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V3,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #12: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V4,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #13: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | greater-{T}(V4,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #14: input, references = 5, size of lhs = 8:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), greater-{F}(V5,V6), product-{F}(V7,V0,V5), next-{F}(V7,V6) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #15: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | group_element-{T}(V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #16: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | group_element-{T}(V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #17: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | group_element-{T}(V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #18: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | group_element-{T}(V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #19: input, references = 4, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4) | group_element-{T}(V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #20: input, references = 14, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V0,V1) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #21: input, references = 19, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V0,V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #22: input, references = 11, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V0,V3) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #23: input, references = 10, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V0,V4) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #24: input, references = 9, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V1,V0) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #25: input, references = 11, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V1,V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #26: input, references = 11, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V1,V3) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #27: input, references = 9, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V1,V4) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #28: input, references = 9, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V2,V0) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #29: input, references = 12, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V2,V1) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #30: input, references = 6, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V2,V3) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #31: input, references = 6, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V2,V4) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #32: input, references = 10, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V3,V0) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #33: input, references = 8, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V3,V1) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #34: input, references = 7, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V3,V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #35: input, references = 6, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V3,V4) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #36: input, references = 8, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V4,V0) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #37: input, references = 10, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V4,V1) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #38: input, references = 10, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V4,V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #39: input, references = 10, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), equalish-{F}(V4,V3) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #40: input, references = 37, size of lhs = 7:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), group_element-{F}(V5), group_element-{F}(V6) | product-{T}(V6,V5,V0), product-{T}(V6,V5,V1), product-{T}(V6,V5,V2), product-{T}(V6,V5,V3), product-{T}(V6,V5,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #41: input, references = 10, size of lhs = 7:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V8,V7,V5), product-{F}(V8,V7,V6) | equalish-{T}(V5,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #42: input, references = 59, size of lhs = 7:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V8,V5,V7), product-{F}(V8,V6,V7) | equalish-{T}(V5,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #43: input, references = 76, size of lhs = 7:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V5,V7,V8), product-{F}(V6,V7,V8) | equalish-{T}(V5,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #44: input, references = 11, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), #-{F} V5 | product-{T}(V5,V5,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #45: input, references = 19, size of lhs = 7:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V5,V8,V6), product-{F}(V8,V5,V7) | product-{T}(V6,V7,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #46: input, references = 4, size of lhs = 0:
% 6.49/6.67     FALSE | EXISTS V0: P_e_1-{T}(V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #47: input, references = 4, size of lhs = 0:
% 6.49/6.67     FALSE | EXISTS V0: P_e_2-{T}(V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #48: input, references = 5, size of lhs = 0:
% 6.49/6.67     FALSE | EXISTS V0: P_e_3-{T}(V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #49: input, references = 5, size of lhs = 0:
% 6.49/6.67     FALSE | EXISTS V0: P_e_4-{T}(V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #50: input, references = 7, size of lhs = 0:
% 6.49/6.67     FALSE | EXISTS V0: P_e_5-{T}(V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  number of initial rules = 51
% 6.49/6.67  
% 6.49/6.67  Simplifiers:
% 6.49/6.67  #51: unsound, references = 3, size of lhs = 3:
% 6.49/6.67     P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #52: unsound, references = 3, size of lhs = 3:
% 6.49/6.67     P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #53: unsound, references = 3, size of lhs = 3:
% 6.49/6.67     P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #54: unsound, references = 3, size of lhs = 3:
% 6.49/6.67     P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #55: unsound, references = 3, size of lhs = 3:
% 6.49/6.67     P_e_5-{F}(V0), P_e_5-{F}(V1), V0 == V1 | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  number of simplifiers = 5
% 6.49/6.67  
% 6.49/6.67  Learnt:
% 6.49/6.67  #71: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V8, V8 == V11; #62 ), references = 1, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0), P_e_3-{F}(V1), P_e_4-{F}(V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #79: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #72 ), references = 1, size of lhs = 4:
% 6.49/6.67     P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0), P_e_3-{F}(V1) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #85: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #80 ), references = 1, size of lhs = 3:
% 6.49/6.67     P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #102: mergings( V1 == V4, V4 == V5, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V5 == V8, V8 == V11; #93 ), references = 1, size of lhs = 5:
% 6.49/6.67     P_e_1-{F}(V0), P_e_4-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1), P_e_3-{F}(V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #119: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V11; #109 ), references = 1, size of lhs = 4:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #163: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V30, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #133 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #195: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V6, V6 == V8, V8 == V17, V17 == V25, V25 == V30, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V26, V26 == V31, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V27, V27 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V28, V28 == V33; #166 ), references = 2, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V3), P_e_4-{F}(V4), greater-{F}(V4,V2), P_e_5-{F}(V5), product-{F}(V5,V0,V3), greater-{F}(V5,V6), next-{F}(V1,V6) | product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #221: mergings( V0 == V5, V5 == V7, V1 == V8, V8 == V12, V12 == V16, V16 == V21, V2 == V9, V9 == V13, V13 == V17, V17 == V22, V3 == V10, V10 == V14, V14 == V18, V18 == V23, V4 == V11, V11 == V15, V15 == V19, V19 == V24; #201 ), references = 2, size of lhs = 12:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), next-{F}(V1,V2), P_e_2-{F}(V3), product-{F}(V1,V3,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), greater-{F}(V5,V2), P_e_5-{F}(V6), greater-{F}(V6,V7), next-{F}(V1,V7) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #262: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #232 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_5-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #305: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V31 == V35, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V36, V36 == V40, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V41, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #265 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_5-{F}(V3), product-{F}(V1,V2,V4), product-{F}(V4,V0,V2), P_e_4-{F}(V4) | product-{T}(V1,V0,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #344: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V31 == V35, V35 == V40, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V36, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V41, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #266 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_5-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V2), product-{F}(V3,V0,V4) | product-{T}(V1,V0,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #422: mergings( V0 == V12, V12 == V17, V17 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V65, V65 == V70, V1 == V7, V7 == V5, V5 == V13, V13 == V18, V18 == V21, V21 == V30, V30 == V35, V35 == V39, V39 == V48, V48 == V53, V53 == V57, V57 == V62, V62 == V66, V2 == V8, V8 == V11, V11 == V14, V14 == V22, V22 == V26, V26 == V31, V31 == V40, V40 == V44, V44 == V49, V49 == V58, V58 == V63, V63 == V67, V67 == V71, V3 == V6, V6 == V9, V9 == V15, V15 == V23, V23 == V27, V27 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V50, V50 == V54, V54 == V59, V59 == V68, V68 == V72, V4 == V10, V10 == V16, V16 == V19, V19 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64, V64 == V69, V69 == V73; #349 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_4-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), product-{F}(V3,V1,V4), P_e_5-{F}(V4) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #492: mergings( V0 == V12, V12 == V17, V17 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V65, V65 == V70, V1 == V7, V7 == V5, V5 == V13, V13 == V18, V18 == V21, V21 == V30, V30 == V35, V35 == V39, V39 == V48, V48 == V57, V57 == V62, V62 == V66, V2 == V8, V8 == V11, V11 == V14, V14 == V22, V22 == V26, V26 == V31, V31 == V40, V40 == V44, V44 == V49, V49 == V53, V53 == V58, V58 == V63, V63 == V67, V67 == V71, V3 == V6, V6 == V9, V9 == V15, V15 == V23, V23 == V27, V27 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V50, V50 == V54, V54 == V59, V59 == V68, V68 == V72, V4 == V10, V10 == V16, V16 == V19, V19 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64, V64 == V69, V69 == V73; #351 ), references = 1, size of lhs = 14:
% 6.49/6.67     group_element-{F}(V0), P_e_4-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), product-{F}(V3,V1,V4), product-{F}(V2,V4,V1), P_e_5-{F}(V4) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #530: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V33, V4 == V6, V6 == V11, V11 == V20, V20 == V29; #499 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V0,V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #560: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V32, V4 == V6, V6 == V11, V11 == V20, V20 == V29, V29 == V33; #498 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #590: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V17, V17 == V22, V22 == V26, V2 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V32, V4 == V6, V6 == V11, V11 == V15, V15 == V20, V20 == V29, V29 == V33; #500 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), product-{F}(V1,V2,V0), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #635: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V1 == V6, V6 == V8, V8 == V17, V17 == V26, V26 == V31, V31 == V36, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V37, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V3, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38; #598 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), P_e_3-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V4), P_e_5-{F}(V5), product-{F}(V5,V0,V2), product-{F}(V0,V1,V6), product-{F}(V5,V6,V1) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #670: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V1 == V6, V6 == V8, V8 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V36, V2 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V27, V27 == V32, V32 == V37, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V3, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38; #600 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V0), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2), product-{F}(V0,V1,V5), product-{F}(V4,V5,V1) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #704: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V1 == V6, V6 == V8, V8 == V17, V17 == V26, V26 == V31, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V36, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V37, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38; #599 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), P_e_3-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V4), P_e_5-{F}(V5), product-{F}(V5,V0,V2), product-{F}(V0,V1,V6), product-{F}(V4,V6,V5) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #742: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V27, V3 == V6, V6 == V10, V10 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #711 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_2-{F}(V3), product-{F}(V1,V2,V4), P_e_5-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #772: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V27, V27 == V32, V3 == V6, V6 == V10, V10 == V19, V19 == V23, V23 == V28, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #712 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_2-{F}(V3), product-{F}(V3,V0,V4), P_e_5-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #815: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V35, V35 == V40, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V27, V27 == V36, V36 == V41, V3 == V6, V6 == V10, V10 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V37, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #775 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_3-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_2-{F}(V3), product-{F}(V1,V2,V4), P_e_5-{F}(V4) | product-{T}(V1,V0,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #854: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V35, V35 == V40, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V27, V27 == V36, V3 == V6, V6 == V10, V10 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V41, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #776 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_2-{F}(V3), product-{F}(V1,V3,V0), product-{F}(V1,V2,V4), P_e_5-{F}(V4) | product-{T}(V1,V0,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #935: mergings( V0 == V6, V6 == V7, V7 == V12, V12 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V71, V71 == V76, V1 == V13, V13 == V17, V17 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V57, V57 == V62, V62 == V66, V66 == V72, V72 == V77, V2 == V8, V8 == V5, V5 == V14, V14 == V18, V18 == V22, V22 == V31, V31 == V40, V40 == V45, V45 == V49, V49 == V54, V54 == V58, V58 == V63, V63 == V67, V67 == V73, V3 == V9, V9 == V11, V11 == V15, V15 == V23, V23 == V27, V27 == V32, V32 == V36, V36 == V41, V41 == V50, V50 == V59, V59 == V64, V64 == V68, V68 == V74, V74 == V78, V4 == V10, V10 == V16, V16 == V19, V19 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V65, V65 == V69, V69 == V75, V75 == V79; #859 ), references = 1, size of lhs = 15:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V1,V0,V4), product-{F}(V2,V4,V2), P_e_2-{F}(V5), product-{F}(V0,V5,V3) | product-{T}(V0,V1,V0), product-{T}(V0,V1,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1021: mergings( V0 == V4, V4 == V5, V5 == V12, V12 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V71, V71 == V76, V76 == V80, V6 == V13, V13 == V17, V17 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V57, V57 == V62, V62 == V66, V66 == V72, V72 == V77, V77 == V81, V81 == V85, V1 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V31, V31 == V40, V40 == V45, V45 == V49, V49 == V54, V54 == V58, V58 == V63, V63 == V67, V67 == V73, V73 == V82, V82 == V86, V2 == V8, V8 == V11, V11 == V15, V15 == V23, V23 == V27, V27 == V32, V32 == V36, V36 == V41, V41 == V50, V50 == V59, V59 == V64, V64 == V68, V68 == V74, V74 == V78, V78 == V83, V83 == V87, V3 == V9, V9 == V16, V16 == V19, V19 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V65, V65 == V69, V69 == V75, V75 == V79, V79 == V84, V84 == V88; #937 ), references = 3, size of lhs = 15:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V1,V0,V4), product-{F}(V2,V4,V2), P_e_2-{F}(V5), product-{F}(V0,V5,V3) | product-{T}(V0,V1,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1064: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V17, V17 == V22, V22 == V26, V2 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V14, V14 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1033 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), P_e_3-{F}(V3), product-{F}(V1,V3,V2), P_e_5-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1094: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V6, V6 == V10, V10 == V14, V14 == V19, V19 == V28, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1034 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), product-{F}(V1,V3,V2), P_e_5-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1135: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V5, V5 == V8, V8 == V17, V17 == V22, V22 == V26, V26 == V35, V35 == V40, V2 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V31, V31 == V36, V36 == V41, V3 == V6, V6 == V10, V10 == V14, V14 == V19, V19 == V28, V28 == V32, V32 == V37, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #1096 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), P_e_3-{F}(V3), product-{F}(V1,V3,V2), P_e_5-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1212: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V65, V65 == V70, V1 == V8, V8 == V13, V13 == V17, V17 == V5, V5 == V22, V22 == V31, V31 == V36, V36 == V39, V39 == V48, V48 == V53, V53 == V57, V57 == V66, V9 == V14, V14 == V2, V2 == V23, V23 == V27, V27 == V32, V32 == V37, V37 == V40, V40 == V44, V44 == V49, V49 == V54, V54 == V58, V58 == V62, V62 == V67, V67 == V71, V3 == V10, V10 == V15, V15 == V18, V18 == V20, V20 == V24, V24 == V28, V28 == V33, V33 == V41, V41 == V45, V45 == V50, V50 == V59, V59 == V63, V63 == V68, V68 == V72, V4 == V6, V6 == V11, V11 == V19, V19 == V25, V25 == V29, V29 == V34, V34 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64, V64 == V69, V69 == V73; #1141 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_5-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), P_e_3-{F}(V4), product-{F}(V2,V4,V3) | product-{T}(V0,V1,V3), product-{T}(V0,V1,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1282: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V65, V65 == V70, V1 == V8, V8 == V17, V17 == V5, V5 == V22, V22 == V31, V31 == V36, V36 == V39, V39 == V48, V48 == V53, V53 == V57, V57 == V66, V9 == V13, V13 == V2, V2 == V23, V23 == V27, V27 == V32, V32 == V37, V37 == V40, V40 == V44, V44 == V49, V49 == V54, V54 == V58, V58 == V62, V62 == V67, V67 == V71, V3 == V10, V10 == V14, V14 == V18, V18 == V20, V20 == V24, V24 == V28, V28 == V33, V33 == V41, V41 == V45, V45 == V50, V50 == V59, V59 == V63, V63 == V68, V68 == V72, V4 == V6, V6 == V11, V11 == V15, V15 == V19, V19 == V25, V25 == V29, V29 == V34, V34 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64, V64 == V69, V69 == V73; #1142 ), references = 1, size of lhs = 14:
% 6.49/6.67     group_element-{F}(V0), P_e_5-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), P_e_1-{F}(V3), product-{F}(V0,V3,V1), product-{F}(V2,V3,V0), P_e_3-{F}(V4), product-{F}(V2,V4,V3) | product-{T}(V0,V1,V3), product-{T}(V0,V1,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1363: mergings( V0 == V5, V5 == V10, V10 == V14, V14 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V65, V65 == V70, V70 == V74, V74 == V79, V1 == V6, V6 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V31, V31 == V36, V36 == V39, V39 == V48, V48 == V53, V53 == V57, V57 == V66, V66 == V75, V75 == V80, V7 == V12, V12 == V16, V16 == V23, V23 == V27, V27 == V32, V32 == V37, V37 == V40, V40 == V44, V44 == V49, V49 == V54, V54 == V58, V58 == V62, V62 == V67, V67 == V71, V71 == V76, V76 == V81, V2 == V8, V8 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V28, V28 == V33, V33 == V41, V41 == V45, V45 == V50, V50 == V59, V59 == V63, V63 == V68, V68 == V72, V72 == V77, V77 == V82, V3 == V4, V4 == V9, V9 == V18, V18 == V25, V25 == V29, V29 == V34, V34 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64, V64 == V69, V69 == V73, V73 == V78; #1284 ), references = 2, size of lhs = 14:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_5-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), product-{F}(V3,V1,V2), P_e_3-{F}(V4), product-{F}(V2,V4,V3) | product-{T}(V0,V1,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1404: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1372 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1434: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V31, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1371 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V3), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1473: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V2 == V9, V9 == V14, V14 == V18, V18 == V22, V22 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1440 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V3), P_e_5-{F}(V3), P_e_3-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1513: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1481 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1542: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V6, V6 == V9, V9 == V18, V18 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1483 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V0,V1), P_e_4-{F}(V3), P_e_2-{F}(V4), P_e_5-{F}(V5), product-{F}(V5,V0,V2) | product-{T}(V1,V0,V4), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1572: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V31, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1480 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V3), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1615: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V31 == V35, V35 == V40, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V36, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V41, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #1575 ), references = 2, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1654: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V31 == V35, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V36, V36 == V40, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V41, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V38, V38 == V42; #1576 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_4-{F}(V3), product-{F}(V1,V3,V0), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1715: mergings( V0 == V6, V6 == V7, V7 == V16, V16 == V25, V25 == V30, V30 == V35, V35 == V40, V40 == V45, V45 == V50, V1 == V8, V8 == V12, V12 == V17, V17 == V21, V21 == V26, V26 == V31, V31 == V36, V36 == V41, V41 == V46, V46 == V51, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42, V42 == V47, V47 == V52, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V3, V3 == V43, V43 == V48, V48 == V53, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38, V38 == V44, V44 == V49, V49 == V54; #1665 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_2-{F}(V3), product-{F}(V2,V3,V0), P_e_3-{F}(V4), product-{F}(V4,V0,V4), P_e_4-{F}(V5), product-{F}(V5,V0,V1), product-{F}(V0,V1,V5), P_e_5-{F}(V6), product-{F}(V6,V3,V1) | product-{T}(V1,V0,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1765: mergings( V0 == V6, V6 == V7, V7 == V12, V12 == V16, V16 == V25, V25 == V30, V30 == V35, V35 == V40, V40 == V45, V45 == V50, V1 == V8, V8 == V13, V13 == V17, V17 == V21, V21 == V26, V26 == V31, V31 == V36, V36 == V41, V41 == V46, V46 == V51, V2 == V5, V5 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42, V42 == V47, V47 == V52, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V3, V3 == V43, V43 == V48, V48 == V53, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38, V38 == V44, V44 == V49, V49 == V54; #1663 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_3-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_2-{F}(V3), product-{F}(V2,V3,V0), P_e_4-{F}(V4), product-{F}(V0,V1,V4), P_e_5-{F}(V5), product-{F}(V5,V3,V1) | product-{T}(V1,V0,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1804: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V18, V18 == V23, V23 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V32, V4 == V6, V6 == V11, V11 == V15, V15 == V20, V20 == V29, V29 == V33; #1771 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), product-{F}(V1,V2,V3), P_e_2-{F}(V3), P_e_4-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1850: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V36 == V41, V1 == V5, V5 == V8, V8 == V17, V17 == V22, V22 == V32, V32 == V37, V37 == V42, V2 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V33, V33 == V38, V38 == V43, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V34, V34 == V39, V39 == V3, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V29, V29 == V35, V35 == V40, V40 == V44; #1811 ), references = 1, size of lhs = 12:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V2), P_e_1-{F}(V3), product-{F}(V1,V3,V3), P_e_3-{F}(V4), product-{F}(V2,V4,V4), P_e_4-{F}(V5), P_e_5-{F}(V6), product-{F}(V0,V1,V7), product-{F}(V6,V7,V1) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1901: mergings( V0 == V5, V5 == V6, V6 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V35, V35 == V40, V40 == V46, V1 == V4, V4 == V7, V7 == V16, V16 == V21, V21 == V31, V31 == V36, V36 == V41, V41 == V47, V47 == V51, V2 == V8, V8 == V12, V12 == V17, V17 == V22, V22 == V26, V26 == V32, V32 == V37, V37 == V42, V42 == V48, V48 == V52, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V33, V33 == V38, V38 == V43, V43 == V49, V49 == V53, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V34, V34 == V39, V39 == V44, V44 == V50, V50 == V54; #1852 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), product-{F}(V0,V1,V3), P_e_3-{F}(V4), product-{F}(V2,V4,V4), P_e_4-{F}(V5), P_e_5-{F}(V6), product-{F}(V6,V3,V1) | product-{T}(V1,V0,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1935: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V30, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1905 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), product-{F}(V2,V0,V3), P_e_3-{F}(V3), P_e_5-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #1965: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V1 == V8, V8 == V13, V13 == V17, V17 == V21, V21 == V25, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V26, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V27, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V28; #1939 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), greater-{F}(V4,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2002: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V30, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1971 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2031: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1972 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), P_e_3-{F}(V4), product-{F}(V4,V0,V1), P_e_5-{F}(V5), product-{F}(V5,V0,V3) | product-{T}(V1,V0,V4), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2054: mergings( V0 == V5, V5 == V7, V1 == V8, V8 == V12, V12 == V16, V16 == V21, V2 == V9, V9 == V13, V13 == V17, V17 == V22, V3 == V10, V10 == V14, V14 == V18, V18 == V23, V4 == V11, V11 == V15, V15 == V19, V19 == V24; #2034 ), references = 1, size of lhs = 12:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), next-{F}(V1,V2), P_e_2-{F}(V3), product-{F}(V1,V3,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), greater-{F}(V5,V2), P_e_5-{F}(V6), greater-{F}(V6,V7), next-{F}(V1,V7) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2088: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V30, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V32, V4 == V6, V6 == V11, V11 == V20, V20 == V29, V29 == V33; #2058 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), product-{F}(V2,V0,V3), P_e_3-{F}(V3), P_e_4-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2124: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V30, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #2093 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), product-{F}(V2,V0,V3), P_e_3-{F}(V3), P_e_5-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2166: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V33, V4 == V6, V6 == V11, V11 == V20, V20 == V29; #2134 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V4,V0,V2), P_e_4-{F}(V4), P_e_3-{F}(V5), product-{F}(V5,V0,V5) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2196: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V27, V27 == V32, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V23 == V28, V28 == V33, V4 == V6, V6 == V11, V11 == V20, V20 == V24, V24 == V29; #2135 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V4,V0,V2), product-{F}(V1,V4,V0), P_e_4-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2226: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V33, V4 == V6, V6 == V11, V11 == V15, V15 == V20, V20 == V29; #2136 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V1,V3,V2), product-{F}(V3,V0,V4), P_e_4-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2267: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V34 == V39, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V35, V35 == V40, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V32 == V36, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V41, V4 == V6, V6 == V11, V11 == V20, V20 == V29, V29 == V38, V38 == V42; #2228 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V4,V0,V2), P_e_4-{F}(V4) | product-{T}(V1,V0,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2353: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V56, V56 == V61, V61 == V65, V65 == V70, V1 == V6, V6 == V8, V8 == V17, V17 == V26, V26 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V57, V57 == V62, V62 == V66, V66 == V71, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V5, V5 == V32, V32 == V37, V37 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V67, V10 == V14, V14 == V19, V19 == V23, V23 == V3, V3 == V33, V33 == V38, V38 == V42, V42 == V47, V47 == V51, V51 == V55, V55 == V59, V59 == V63, V63 == V68, V68 == V72, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V28, V28 == V29, V29 == V34, V34 == V43, V43 == V52, V52 == V60, V60 == V64, V64 == V69, V69 == V73; #2276 ), references = 1, size of lhs = 12:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_5-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), P_e_4-{F}(V4), product-{F}(V4,V1,V3) | product-{T}(V0,V1,V0), product-{T}(V0,V1,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2423: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V56, V56 == V61, V61 == V65, V65 == V70, V1 == V6, V6 == V8, V8 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V57, V57 == V62, V62 == V66, V66 == V71, V2 == V9, V9 == V13, V13 == V18, V18 == V27, V27 == V5, V5 == V32, V32 == V37, V37 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V67, V10 == V14, V14 == V19, V19 == V23, V23 == V3, V3 == V33, V33 == V38, V38 == V42, V42 == V47, V47 == V51, V51 == V55, V55 == V59, V59 == V63, V63 == V68, V68 == V72, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V28, V28 == V29, V29 == V34, V34 == V43, V43 == V52, V52 == V60, V60 == V64, V64 == V69, V69 == V73; #2278 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_5-{F}(V2), P_e_1-{F}(V3), product-{F}(V0,V3,V1), product-{F}(V2,V3,V0), P_e_4-{F}(V4), product-{F}(V4,V1,V3) | product-{T}(V0,V1,V0), product-{T}(V0,V1,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2513: mergings( V0 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V56, V56 == V61, V61 == V65, V65 == V70, V70 == V74, V74 == V79, V79 == V84, V1 == V4, V4 == V6, V6 == V15, V15 == V24, V24 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V57, V57 == V62, V62 == V66, V66 == V71, V71 == V75, V75 == V80, V2 == V7, V7 == V11, V11 == V16, V16 == V20, V20 == V25, V25 == V28, V28 == V32, V32 == V37, V37 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V67, V67 == V76, V76 == V81, V81 == V85, V8 == V12, V12 == V17, V17 == V21, V21 == V26, V26 == V33, V33 == V38, V38 == V42, V42 == V47, V47 == V51, V51 == V55, V55 == V59, V59 == V63, V63 == V68, V68 == V72, V72 == V77, V77 == V82, V82 == V86, V3 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V29, V29 == V34, V34 == V43, V43 == V52, V52 == V60, V60 == V64, V64 == V69, V69 == V73, V73 == V78, V78 == V83, V83 == V87; #2429 ), references = 1, size of lhs = 14:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_5-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), P_e_4-{F}(V4), product-{F}(V4,V1,V3), product-{F}(V1,V0,V5), product-{F}(V2,V5,V2) | product-{T}(V0,V1,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2598: mergings( V0 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V56, V56 == V61, V61 == V65, V65 == V70, V70 == V74, V74 == V79, V79 == V84, V1 == V4, V4 == V6, V6 == V15, V15 == V24, V24 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V57, V57 == V62, V62 == V66, V66 == V71, V71 == V75, V75 == V80, V80 == V85, V2 == V7, V7 == V11, V11 == V16, V16 == V20, V20 == V25, V25 == V28, V28 == V32, V32 == V37, V37 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V67, V67 == V76, V76 == V81, V81 == V86, V8 == V12, V12 == V17, V17 == V21, V21 == V26, V26 == V33, V33 == V38, V38 == V42, V42 == V47, V47 == V51, V51 == V55, V55 == V59, V59 == V63, V63 == V68, V68 == V72, V72 == V77, V77 == V82, V82 == V87, V3 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V29, V29 == V34, V34 == V43, V43 == V52, V52 == V60, V60 == V64, V64 == V69, V69 == V73, V73 == V78, V78 == V83, V83 == V88; #2428 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_5-{F}(V2), product-{F}(V1,V0,V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), P_e_4-{F}(V4), product-{F}(V4,V1,V3) | product-{T}(V0,V1,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2731: mergings( V0 == V6, V6 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V40, V40 == V45, V45 == V48, V48 == V53, V53 == V63, V63 == V68, V68 == V71, V71 == V76, V76 == V80, V80 == V85, V85 == V88, V88 == V93, V93 == V97, V97 == V102, V102 == V106, V106 == V111, V111 == V116, V116 == V120, V120 == V125, V1 == V8, V8 == V17, V17 == V22, V22 == V32, V32 == V37, V37 == V5, V5 == V41, V41 == V49, V49 == V58, V58 == V64, V64 == V69, V69 == V72, V72 == V77, V77 == V81, V81 == V89, V89 == V94, V94 == V98, V98 == V103, V103 == V107, V107 == V112, V112 == V121, V121 == V126, V2 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V33, V33 == V38, V38 == V42, V42 == V46, V46 == V50, V50 == V54, V54 == V57, V57 == V59, V59 == V65, V65 == V70, V70 == V73, V73 == V78, V78 == V82, V82 == V86, V86 == V90, V90 == V99, V99 == V108, V108 == V113, V113 == V117, V117 == V122, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V34, V34 == V3, V3 == V43, V43 == V51, V51 == V55, V55 == V60, V60 == V66, V66 == V74, V74 == V79, V79 == V83, V83 == V87, V87 == V91, V91 == V95, V95 == V100, V100 == V104, V104 == V109, V109 == V114, V114 == V118, V118 == V123, V123 == V127, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V29, V29 == V35, V35 == V36, V36 == V39, V39 == V44, V44 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V62, V62 == V67, V67 == V75, V75 == V84, V84 == V92, V92 == V96, V96 == V101, V101 == V105, V105 == V110, V110 == V115, V115 == V119, V119 == V124, V124 == V128; #2607 ), references = 1, size of lhs = 20:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), product-{F}(V1,V0,V2), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_5-{F}(V2), group_element-{F}(V3), product-{F}(V2,V0,V3), P_e_2-{F}(V3), product-{F}(V3,V3,V3), product-{F}(V3,V0,V4), product-{F}(V3,V0,V5), product-{F}(V4,V5,V5), group_element-{F}(V5), product-{F}(V5,V5,V5), P_e_3-{F}(V5) | product-{T}(V0,V3,V3), product-{T}(V0,V3,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2866: mergings( V0 == V4, V4 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V40, V40 == V45, V45 == V48, V48 == V53, V53 == V63, V63 == V68, V68 == V71, V71 == V76, V76 == V80, V80 == V85, V85 == V88, V88 == V93, V93 == V97, V97 == V102, V102 == V106, V106 == V111, V111 == V116, V116 == V120, V120 == V125, V125 == V129, V1 == V6, V6 == V15, V15 == V20, V20 == V29, V29 == V35, V35 == V38, V38 == V41, V41 == V49, V49 == V58, V58 == V64, V64 == V69, V69 == V72, V72 == V77, V77 == V81, V81 == V89, V89 == V94, V94 == V98, V98 == V103, V103 == V107, V107 == V112, V112 == V121, V121 == V126, V126 == V130, V130 == V134, V2 == V7, V7 == V11, V11 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V36, V36 == V42, V42 == V46, V46 == V50, V50 == V54, V54 == V57, V57 == V59, V59 == V65, V65 == V70, V70 == V73, V73 == V78, V78 == V82, V82 == V86, V86 == V90, V90 == V99, V99 == V108, V108 == V113, V113 == V117, V117 == V122, V122 == V131, V131 == V135, V8 == V12, V12 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V34, V34 == V43, V43 == V51, V51 == V55, V55 == V60, V60 == V66, V66 == V74, V74 == V79, V79 == V83, V83 == V87, V87 == V91, V91 == V95, V95 == V100, V100 == V104, V104 == V109, V109 == V114, V114 == V118, V118 == V123, V123 == V127, V127 == V132, V132 == V136, V3 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V32, V32 == V33, V33 == V37, V37 == V44, V44 == V47, V47 == V52, V52 == V56, V56 == V61, V61 == V62, V62 == V67, V67 == V75, V75 == V84, V84 == V92, V92 == V96, V96 == V101, V101 == V105, V105 == V110, V110 == V115, V115 == V119, V119 == V124, V124 == V128, V128 == V133, V133 == V137; #2733 ), references = 2, size of lhs = 20:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), product-{F}(V1,V0,V2), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_5-{F}(V2), group_element-{F}(V3), product-{F}(V2,V0,V3), P_e_2-{F}(V3), product-{F}(V3,V3,V3), product-{F}(V3,V0,V4), product-{F}(V3,V0,V5), product-{F}(V4,V5,V5), group_element-{F}(V5), product-{F}(V5,V5,V5), P_e_3-{F}(V5) | product-{T}(V0,V3,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2904: mergings( V0 == V7, V7 == V12, V12 == V5, V5 == V19, V19 == V24, V1 == V8, V8 == V13, V13 == V18, V18 == V20, V20 == V25, V25 == V28, V2 == V9, V9 == V6, V6 == V21, V21 == V29, V3 == V10, V10 == V14, V14 == V16, V16 == V22, V22 == V26, V26 == V30, V4 == V11, V11 == V15, V15 == V17, V17 == V23, V23 == V27, V27 == V31; #2873 ), references = 1, size of lhs = 17:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V0,V4,V3), P_e_2-{F}(V4), greater-{F}(V3,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2932: mergings( V0 == V7, V7 == V12, V12 == V5, V5 == V19, V1 == V8, V8 == V13, V13 == V18, V18 == V20, V20 == V24, V24 == V28, V2 == V9, V9 == V6, V6 == V21, V21 == V25, V25 == V29, V3 == V10, V10 == V14, V14 == V16, V16 == V22, V22 == V26, V26 == V30, V4 == V11, V11 == V15, V15 == V17, V17 == V23, V23 == V27, V27 == V31; #2874 ), references = 1, size of lhs = 16:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V0,V4,V3), P_e_2-{F}(V4), greater-{F}(V3,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #2960: mergings( V0 == V7, V7 == V5, V5 == V19, V19 == V24, V1 == V8, V8 == V12, V12 == V18, V18 == V20, V20 == V25, V25 == V28, V2 == V9, V9 == V13, V13 == V6, V6 == V21, V21 == V29, V3 == V10, V10 == V14, V14 == V16, V16 == V22, V22 == V26, V26 == V30, V4 == V11, V11 == V15, V15 == V17, V17 == V23, V23 == V27, V27 == V31; #2875 ), references = 1, size of lhs = 17:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V1,V3,V4), product-{F}(V0,V4,V3), P_e_2-{F}(V4), greater-{F}(V3,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V1)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3001: mergings( V0 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V33, V33 == V38, V1 == V6, V6 == V11, V11 == V18, V18 == V20, V20 == V25, V25 == V28, V28 == V34, V34 == V39, V2 == V7, V7 == V15, V15 == V21, V21 == V29, V29 == V35, V3 == V8, V8 == V12, V12 == V16, V16 == V22, V22 == V26, V26 == V30, V30 == V36, V36 == V40, V4 == V9, V9 == V13, V13 == V17, V17 == V23, V23 == V27, V27 == V31, V31 == V37, V37 == V41; #2963 ), references = 1, size of lhs = 18:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V0,V4,V3), P_e_2-{F}(V4), product-{F}(V4,V0,V1), greater-{F}(V3,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3038: mergings( V0 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V33, V1 == V6, V6 == V11, V11 == V18, V18 == V20, V20 == V25, V25 == V28, V28 == V34, V34 == V38, V2 == V7, V7 == V15, V15 == V21, V21 == V29, V29 == V35, V35 == V39, V3 == V8, V8 == V12, V12 == V16, V16 == V22, V22 == V26, V26 == V30, V30 == V36, V36 == V40, V4 == V9, V9 == V13, V13 == V17, V17 == V23, V23 == V27, V27 == V31, V31 == V37, V37 == V41; #2964 ), references = 2, size of lhs = 17:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V2,V0,V3), product-{F}(V3,V1,V0), P_e_5-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V0,V4,V3), P_e_2-{F}(V4), greater-{F}(V3,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3248: mergings( V0 == V7, V7 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V29, V29 == V33, V33 == V44, V44 == V49, V49 == V52, V52 == V57, V57 == V65, V65 == V70, V70 == V73, V73 == V78, V78 == V82, V82 == V87, V87 == V90, V90 == V95, V95 == V99, V99 == V107, V107 == V112, V112 == V117, V117 == V121, V121 == V126, V126 == V130, V130 == V139, V139 == V144, V144 == V148, V148 == V153, V153 == V5, V5 == V160, V160 == V165, V165 == V174, V174 == V179, V179 == V183, V183 == V188, V188 == V192, V192 == V197, V197 == V201, V8 == V11, V11 == V20, V20 == V25, V25 == V34, V34 == V40, V40 == V43, V43 == V45, V45 == V53, V53 == V66, V66 == V71, V71 == V74, V74 == V79, V79 == V83, V83 == V91, V91 == V96, V96 == V100, V100 == V104, V104 == V108, V108 == V113, V113 == V122, V122 == V127, V127 == V131, V131 == V135, V135 == V140, V140 == V1, V1 == V149, V149 == V154, V154 == V161, V161 == V166, V166 == V169, V169 == V175, V175 == V180, V180 == V184, V184 == V189, V189 == V193, V193 == V198, V198 == V202, V202 == V206, V2 == V9, V9 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V61, V61 == V62, V62 == V67, V67 == V72, V72 == V75, V75 == V80, V80 == V84, V84 == V88, V88 == V92, V92 == V101, V101 == V109, V109 == V114, V114 == V118, V118 == V123, V123 == V132, V132 == V136, V136 == V141, V141 == V145, V145 == V150, V150 == V157, V157 == V162, V162 == V170, V170 == V176, V176 == V185, V185 == V194, V194 == V199, V199 == V203, V203 == V207, V3 == V13, V13 == V17, V17 == V22, V22 == V27, V27 == V31, V31 == V36, V36 == V39, V39 == V47, V47 == V55, V55 == V59, V59 == V63, V63 == V68, V68 == V76, V76 == V81, V81 == V85, V85 == V89, V89 == V93, V93 == V97, V97 == V102, V102 == V105, V105 == V110, V110 == V115, V115 == V119, V119 == V124, V124 == V128, V128 == V133, V133 == V137, V137 == V142, V142 == V146, V146 == V151, V151 == V155, V155 == V159, V159 == V163, V163 == V167, V167 == V171, V171 == V177, V177 == V181, V181 == V186, V186 == V190, V190 == V195, V195 == V200, V200 == V204, V204 == V208, V4 == V14, V14 == V18, V18 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V38, V38 == V42, V42 == V48, V48 == V51, V51 == V56, V56 == V60, V60 == V64, V64 == V6, V6 == V69, V69 == V77, V77 == V86, V86 == V94, V94 == V98, V98 == V103, V103 == V106, V106 == V111, V111 == V116, V116 == V120, V120 == V125, V125 == V129, V129 == V134, V134 == V138, V138 == V143, V143 == V147, V147 == V152, V152 == V158, V158 == V164, V164 == V168, V168 == V172, V172 == V178, V178 == V182, V182 == V187, V187 == V191, V191 == V196, V196 == V205, V205 == V209; #3043 ), references = 1, size of lhs = 21:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_5-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_1-{F}(V2), product-{F}(V0,V2,V3), group_element-{F}(V4), product-{F}(V3,V4,V4), product-{F}(V4,V4,V4), product-{F}(V0,V2,V4), P_e_3-{F}(V4), group_element-{F}(V5), product-{F}(V5,V5,V5), product-{F}(V5,V2,V1), P_e_4-{F}(V5), greater-{F}(V1,V6), next-{F}(V4,V6) | product-{T}(V1,V2,V2), product-{T}(V1,V2,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3452: mergings( V0 == V7, V7 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V29, V29 == V33, V33 == V44, V44 == V49, V49 == V52, V52 == V57, V57 == V65, V65 == V70, V70 == V73, V73 == V78, V78 == V82, V82 == V87, V87 == V90, V90 == V95, V95 == V99, V99 == V107, V107 == V112, V112 == V117, V117 == V121, V121 == V126, V126 == V130, V130 == V139, V139 == V144, V144 == V148, V148 == V153, V153 == V5, V5 == V160, V160 == V165, V165 == V174, V174 == V179, V179 == V183, V183 == V188, V188 == V192, V192 == V197, V197 == V201, V201 == V206, V8 == V11, V11 == V20, V20 == V25, V25 == V34, V34 == V40, V40 == V43, V43 == V45, V45 == V53, V53 == V66, V66 == V71, V71 == V74, V74 == V79, V79 == V83, V83 == V91, V91 == V96, V96 == V100, V100 == V104, V104 == V108, V108 == V113, V113 == V122, V122 == V127, V127 == V131, V131 == V135, V135 == V140, V140 == V1, V1 == V149, V149 == V154, V154 == V161, V161 == V166, V166 == V169, V169 == V175, V175 == V180, V180 == V184, V184 == V189, V189 == V193, V193 == V198, V198 == V202, V202 == V207, V2 == V9, V9 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V61, V61 == V62, V62 == V67, V67 == V72, V72 == V75, V75 == V80, V80 == V84, V84 == V88, V88 == V92, V92 == V101, V101 == V109, V109 == V114, V114 == V118, V118 == V123, V123 == V132, V132 == V136, V136 == V141, V141 == V145, V145 == V150, V150 == V157, V157 == V162, V162 == V170, V170 == V176, V176 == V185, V185 == V194, V194 == V199, V199 == V203, V203 == V208, V3 == V13, V13 == V17, V17 == V22, V22 == V27, V27 == V31, V31 == V36, V36 == V39, V39 == V47, V47 == V55, V55 == V59, V59 == V63, V63 == V68, V68 == V76, V76 == V81, V81 == V85, V85 == V89, V89 == V93, V93 == V97, V97 == V102, V102 == V105, V105 == V110, V110 == V115, V115 == V119, V119 == V124, V124 == V128, V128 == V133, V133 == V137, V137 == V142, V142 == V146, V146 == V151, V151 == V155, V155 == V159, V159 == V163, V163 == V167, V167 == V171, V171 == V177, V177 == V181, V181 == V186, V186 == V190, V190 == V195, V195 == V200, V200 == V204, V204 == V209, V4 == V14, V14 == V18, V18 == V23, V23 == V28, V28 == V32, V32 == V37, V37 == V38, V38 == V42, V42 == V48, V48 == V51, V51 == V56, V56 == V60, V60 == V64, V64 == V6, V6 == V69, V69 == V77, V77 == V86, V86 == V94, V94 == V98, V98 == V103, V103 == V106, V106 == V111, V111 == V116, V116 == V120, V120 == V125, V125 == V129, V129 == V134, V134 == V138, V138 == V143, V143 == V147, V147 == V152, V152 == V158, V158 == V164, V164 == V168, V168 == V172, V172 == V178, V178 == V182, V182 == V187, V187 == V191, V191 == V196, V196 == V205; #3044 ), references = 1, size of lhs = 21:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_5-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_1-{F}(V2), product-{F}(V0,V2,V3), group_element-{F}(V4), product-{F}(V3,V4,V4), product-{F}(V4,V4,V4), product-{F}(V0,V2,V4), P_e_3-{F}(V4), group_element-{F}(V5), product-{F}(V5,V5,V5), P_e_4-{F}(V5), product-{F}(V5,V2,V1), greater-{F}(V1,V6), next-{F}(V4,V6) | product-{T}(V1,V2,V2), product-{T}(V1,V2,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3482: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V1 == V8, V8 == V13, V13 == V17, V17 == V21, V21 == V25, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V26, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V27, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V28; #3456 ), references = 1, size of lhs = 11:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), greater-{F}(V4,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V3)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3519: mergings( V0 == V7, V7 == V12, V12 == V5, V5 == V20, V20 == V29, V29 == V34, V1 == V8, V8 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V9 == V14, V14 == V2, V2 == V22, V22 == V26, V26 == V31, V31 == V36, V3 == V10, V10 == V15, V15 == V18, V18 == V23, V23 == V27, V27 == V32, V32 == V37, V4 == V6, V6 == V11, V11 == V24, V24 == V28, V28 == V33; #3487 ), references = 1, size of lhs = 15:
% 6.49/6.67     group_element-{F}(V0), P_e_5-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), next-{F}(V2,V3), greater-{F}(V0,V4), next-{F}(V2,V4), P_e_3-{F}(V5), product-{F}(V5,V1,V6), greater-{F}(V6,V3), P_e_4-{F}(V6) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3532: mergings( V0 == V8, V8 == V13, V1 == V3, V3 == V9, V4 == V10, V10 == V14, V5 == V11, V11 == V15, V6 == V12, V12 == V16; #3521 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), next-{F}(V1,V2), next-{F}(V1,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), greater-{F}(V5,V2), P_e_5-{F}(V6), greater-{F}(V6,V3) | product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3567: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V6, V6 == V9, V9 == V18, V18 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #3537 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), product-{F}(V3,V0,V1), P_e_4-{F}(V4), P_e_5-{F}(V5), product-{F}(V5,V0,V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3597: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V21, V21 == V26, V26 == V31, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V22 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #3538 ), references = 1, size of lhs = 10:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3632: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V34, V2 == V6, V6 == V9, V9 == V18, V18 == V27, V27 == V35, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V36, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33, V33 == V37; #3598 ), references = 1, size of lhs = 12:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2), product-{F}(V2,V0,V1), P_e_4-{F}(V3), P_e_5-{F}(V4), product-{F}(V4,V0,V3), greater-{F}(V4,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3686: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42, V42 == V47, V1 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V38, V38 == V43, V43 == V48, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V2, V2 == V39, V39 == V44, V44 == V49, V3 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V34, V34 == V40, V40 == V45, V45 == V50, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V35, V35 == V41, V41 == V46, V46 == V4; #3642 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), product-{F}(V0,V1,V3), P_e_1-{F}(V4), product-{F}(V4,V4,V1), product-{F}(V3,V4,V0), P_e_2-{F}(V5), P_e_4-{F}(V6), P_e_5-{F}(V7), product-{F}(V0,V1,V8), product-{F}(V8,V4,V0) | product-{T}(V1,V0,V5), product-{T}(V1,V0,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3731: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42, V42 == V47, V1 == V5, V5 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V38, V38 == V43, V43 == V48, V2 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V33, V33 == V39, V39 == V44, V44 == V49, V3 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V34, V34 == V40, V40 == V45, V45 == V50, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V35, V35 == V41, V41 == V46, V46 == V4; #3641 ), references = 1, size of lhs = 13:
% 6.49/6.67     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), product-{F}(V0,V1,V3), product-{F}(V3,V2,V2), P_e_1-{F}(V4), product-{F}(V4,V4,V1), P_e_4-{F}(V5), P_e_5-{F}(V6), product-{F}(V0,V1,V7), product-{F}(V7,V4,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3792: mergings( V0 == V5, V5 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V36, V36 == V41, V41 == V46, V46 == V52, V52 == V57, V57 == V62, V1 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V37, V37 == V42, V42 == V47, V47 == V53, V53 == V58, V58 == V63, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V38, V38 == V43, V43 == V48, V48 == V54, V54 == V59, V59 == V64, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V39, V39 == V44, V44 == V49, V49 == V55, V55 == V60, V60 == V2, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V34, V34 == V40, V40 == V45, V45 == V50, V50 == V56, V56 == V61, V61 == V65; #3734 ), references = 1, size of lhs = 15:
% 6.49/6.67     group_element-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), P_e_1-{F}(V5), product-{F}(V5,V5,V1), product-{F}(V3,V5,V0), product-{F}(V4,V5,V0), P_e_2-{F}(V6), P_e_4-{F}(V7), P_e_5-{F}(V8), product-{F}(V0,V1,V9), product-{F}(V9,V5,V0) | product-{T}(V1,V0,V6)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3923: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V5, V5 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V61, V61 == V63, V63 == V64, V64 == V69, V69 == V74, V74 == V79, V79 == V84, V84 == V93, V93 == V98, V98 == V107, V107 == V112, V112 == V121, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V54, V54 == V56, V56 == V62, V62 == V65, V65 == V70, V70 == V75, V75 == V80, V80 == V85, V85 == V89, V89 == V94, V94 == V99, V99 == V103, V103 == V108, V108 == V113, V113 == V117, V117 == V122, V122 == V126, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V29, V29 == V32, V32 == V41, V41 == V50, V50 == V57, V57 == V66, V66 == V71, V71 == V76, V76 == V81, V81 == V86, V86 == V90, V90 == V95, V95 == V100, V100 == V104, V104 == V109, V109 == V114, V114 == V118, V118 == V123, V123 == V127, V10 == V15, V15 == V19, V19 == V24, V24 == V3, V3 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V58, V58 == V67, V67 == V72, V72 == V77, V77 == V82, V82 == V87, V87 == V91, V91 == V96, V96 == V101, V101 == V105, V105 == V110, V110 == V115, V115 == V119, V119 == V124, V124 == V128, V4 == V6, V6 == V11, V11 == V20, V20 == V28, V28 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V59, V59 == V68, V68 == V73, V73 == V78, V78 == V83, V83 == V88, V88 == V92, V92 == V97, V97 == V102, V102 == V106, V106 == V111, V111 == V116, V116 == V120, V120 == V125, V125 == V129; #3798 ), references = 1, size of lhs = 14:
% 6.49/6.67     group_element-{F}(V0), P_e_5-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), P_e_3-{F}(V2), greater-{F}(V0,V3), next-{F}(V2,V3), group_element-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V1,V4,V2), P_e_1-{F}(V4), P_e_4-{F}(V5) | product-{T}(V0,V4,V1), product-{T}(V0,V4,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #3968: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V27, V27 == V5, V5 == V35, V35 == V40, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V25, V25 == V28, V28 == V36, V36 == V41, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V26, V26 == V29, V29 == V33, V33 == V37, V3 == V10, V10 == V19, V19 == V30, V30 == V6, V6 == V38, V38 == V42, V11 == V15, V15 == V20, V20 == V24, V24 == V4, V4 == V31, V31 == V39, V39 == V43; #3930 ), references = 1, size of lhs = 21:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_5-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V0,V2,V1), P_e_1-{F}(V2), product-{F}(V2,V2,V2), product-{F}(V1,V2,V3), group_element-{F}(V4), product-{F}(V3,V4,V4), product-{F}(V4,V4,V4), product-{F}(V1,V2,V4), P_e_3-{F}(V4), group_element-{F}(V5), product-{F}(V5,V5,V5), P_e_4-{F}(V5), greater-{F}(V0,V6), next-{F}(V4,V6) | product-{T}(V5,V2,V2), product-{T}(V5,V2,V5)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4017: mergings( V0 == V4, V4 == V9, V9 == V13, V13 == V18, V18 == V25, V25 == V30, V30 == V35, V35 == V40, V40 == V44, V1 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V26, V26 == V36, V36 == V41, V41 == V45, V45 == V49, V2 == V6, V6 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V27, V27 == V32, V32 == V37, V37 == V46, V46 == V50, V3 == V7, V7 == V16, V16 == V28, V28 == V33, V33 == V38, V38 == V42, V42 == V47, V47 == V51, V8 == V12, V12 == V17, V17 == V21, V21 == V22, V22 == V29, V29 == V39, V39 == V43, V43 == V48, V48 == V52; #3970 ), references = 1, size of lhs = 21:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_5-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V0,V2,V1), product-{F}(V2,V2,V2), P_e_1-{F}(V2), product-{F}(V1,V2,V3), group_element-{F}(V4), product-{F}(V3,V4,V4), product-{F}(V4,V4,V4), product-{F}(V1,V2,V4), P_e_3-{F}(V4), group_element-{F}(V5), P_e_4-{F}(V5), product-{F}(V5,V5,V5), greater-{F}(V0,V6), next-{F}(V4,V6) | product-{T}(V5,V2,V2)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4200: mergings( V0 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V61, V61 == V63, V63 == V64, V64 == V69, V69 == V74, V74 == V79, V79 == V84, V84 == V93, V93 == V98, V98 == V107, V107 == V112, V112 == V121, V121 == V130, V130 == V133, V133 == V138, V138 == V141, V141 == V146, V146 == V151, V151 == V28, V28 == V160, V160 == V165, V165 == V169, V169 == V178, V178 == V183, V6 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V54, V54 == V56, V56 == V62, V62 == V65, V65 == V70, V70 == V75, V75 == V80, V80 == V85, V85 == V89, V89 == V94, V94 == V99, V99 == V103, V103 == V108, V108 == V113, V113 == V117, V117 == V122, V122 == V126, V126 == V134, V134 == V139, V139 == V142, V142 == V147, V147 == V1, V1 == V152, V152 == V161, V161 == V166, V166 == V170, V170 == V174, V174 == V179, V179 == V184, V2 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V29, V29 == V32, V32 == V41, V41 == V50, V50 == V57, V57 == V66, V66 == V71, V71 == V76, V76 == V81, V81 == V86, V86 == V90, V90 == V95, V95 == V100, V100 == V104, V104 == V109, V109 == V114, V114 == V118, V118 == V123, V123 == V127, V127 == V131, V131 == V135, V135 == V140, V140 == V143, V143 == V148, V148 == V150, V150 == V153, V153 == V157, V157 == V162, V162 == V171, V171 == V175, V175 == V180, V180 == V185, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V58, V58 == V67, V67 == V72, V72 == V77, V77 == V82, V82 == V87, V87 == V91, V91 == V96, V96 == V101, V101 == V105, V105 == V110, V110 == V115, V115 == V119, V119 == V124, V124 == V128, V128 == V132, V132 == V136, V136 == V144, V144 == V154, V154 == V158, V158 == V163, V163 == V167, V167 == V172, V172 == V176, V176 == V181, V3 == V9, V9 == V18, V18 == V27, V27 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V59, V59 == V68, V68 == V73, V73 == V78, V78 == V83, V83 == V88, V88 == V92, V92 == V97, V97 == V102, V102 == V106, V106 == V111, V111 == V116, V116 == V120, V120 == V125, V125 == V129, V129 == V137, V137 == V145, V145 == V149, V149 == V4, V4 == V155, V155 == V164, V164 == V168, V168 == V173, V173 == V177, V177 == V182, V182 == V186; #4020 ), references = 1, size of lhs = 22:
% 6.49/6.67     group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_5-{F}(V0), greater-{F}(V0,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), group_element-{F}(V3), P_e_1-{F}(V3), product-{F}(V3,V3,V3), product-{F}(V2,V3,V4), group_element-{F}(V5), next-{F}(V5,V1), product-{F}(V4,V5,V5), product-{F}(V5,V5,V5), product-{F}(V2,V3,V5), P_e_3-{F}(V5), group_element-{F}(V6), product-{F}(V6,V6,V6), P_e_4-{F}(V6), greater-{F}(V0,V7), next-{F}(V5,V7) | product-{T}(V0,V3,V0)
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4400: mergings( V1 == V4, V4 == V8, V8 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V49, V49 == V55, V55 == V62, V62 == V66, V66 == V70, V70 == V76, V76 == V80, V80 == V82, V82 == V86, V86 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V107, V107 == V114, V114 == V118, V118 == V125, V125 == V129, V129 == V136, V136 == V142, V142 == V146, V146 == V149, V149 == V153, V153 == V156, V156 == V162, V162 == V168, V168 == V174, V174 == V180, V2 == V5, V5 == V9, V9 == V12, V12 == V19, V19 == V22, V22 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V41, V41 == V45, V45 == V50, V50 == V56, V56 == V59, V59 == V63, V63 == V71, V71 == V74, V74 == V77, V77 == V83, V83 == V87, V87 == V89, V89 == V93, V93 == V97, V97 == V101, V101 == V104, V104 == V108, V108 == V111, V111 == V115, V115 == V119, V119 == V122, V122 == V126, V126 == V130, V130 == V133, V133 == V137, V137 == V143, V143 == V147, V147 == V150, V150 == V155, V155 == V157, V157 == V163, V163 == V166, V166 == V169, V169 == V172, V172 == V175, V175 == V178, V178 == V181, V181 == V184, V3 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V23, V23 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V51, V51 == V53, V53 == V57, V57 == V60, V60 == V64, V64 == V67, V67 == V72, V72 == V78, V78 == V84, V84 == V90, V90 == V94, V94 == V98, V98 == V105, V105 == V109, V109 == V112, V112 == V116, V116 == V120, V120 == V123, V123 == V127, V127 == V131, V131 == V134, V134 == V138, V138 == V140, V140 == V144, V144 == V148, V148 == V151, V151 == V154, V154 == V158, V158 == V160, V160 == V164, V164 == V170, V170 == V173, V173 == V176, V176 == V179, V179 == V182, V182 == V185, V7 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V48, V48 == V52, V52 == V54, V54 == V58, V58 == V61, V61 == V65, V65 == V68, V68 == V69, V69 == V73, V73 == V75, V75 == V79, V79 == V81, V81 == V85, V85 == V88, V88 == V91, V91 == V95, V95 == V99, V99 == V102, V102 == V106, V106 == V110, V110 == V113, V113 == V117, V117 == V121, V121 == V124, V124 == V128, V128 == V132, V132 == V135, V135 == V139, V139 == V141, V141 == V145, V145 == V152, V152 == V159, V159 == V161, V161 == V165, V165 == V167, V167 == V171, V171 == V177, V177 == V183, V183 == V186; #4217 ), references = 1, size of lhs = 6:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V2), next-{F}(V2,V3), P_e_4-{F}(V3) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4538: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V36, V36 == V39, V39 == V43, V43 == V48, V48 == V51, V51 == V53, V53 == V57, V57 == V60, V60 == V61, V61 == V64, V64 == V68, V68 == V71, V71 == V74, V74 == V76, V76 == V79, V79 == V84, V84 == V87, V87 == V92, V92 == V95, V95 == V100, V100 == V104, V104 == V107, V107 == V110, V110 == V113, V113 == V116, V116 == V120, V120 == V124, V124 == V129, V129 == V134, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V40, V40 == V44, V44 == V46, V46 == V49, V49 == V54, V54 == V56, V56 == V58, V58 == V62, V62 == V65, V65 == V66, V66 == V69, V69 == V72, V72 == V75, V75 == V77, V77 == V80, V80 == V82, V82 == V85, V85 == V88, V88 == V90, V90 == V93, V93 == V96, V96 == V98, V98 == V101, V101 == V105, V105 == V108, V108 == V111, V111 == V115, V115 == V117, V117 == V121, V121 == V123, V123 == V125, V125 == V127, V127 == V130, V130 == V132, V132 == V135, V135 == V137, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V38, V38 == V41, V41 == V42, V42 == V45, V45 == V47, V47 == V50, V50 == V52, V52 == V55, V55 == V59, V59 == V63, V63 == V67, V67 == V70, V70 == V73, V73 == V78, V78 == V81, V81 == V83, V83 == V86, V86 == V89, V89 == V91, V91 == V94, V94 == V97, V97 == V99, V99 == V102, V102 == V103, V103 == V106, V106 == V109, V109 == V112, V112 == V114, V114 == V118, V118 == V119, V119 == V122, V122 == V126, V126 == V128, V128 == V131, V131 == V133, V133 == V136, V136 == V138; #4402 ), references = 1, size of lhs = 4:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V2) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4630: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V36, V36 == V39, V39 == V41, V41 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V58, V58 == V60, V60 == V63, V63 == V65, V65 == V68, V68 == V70, V70 == V72, V72 == V74, V74 == V76, V76 == V78, V78 == V80, V80 == V83, V83 == V86, V86 == V89, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V37, V37 == V38, V38 == V40, V40 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V57, V57 == V59, V59 == V61, V61 == V62, V62 == V64, V64 == V66, V66 == V67, V67 == V69, V69 == V71, V71 == V73, V73 == V75, V75 == V77, V77 == V79, V79 == V81, V81 == V82, V82 == V84, V84 == V85, V85 == V87, V87 == V88, V88 == V90, V90 == V91; #4540 ), references = 1, size of lhs = 2:
% 6.49/6.67     P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4673: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42; #4631 ), references = 1, size of lhs = 1:
% 6.49/6.67     P_e_1-{F}(V0) | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  #4675: exists( #46, #4631 ), references = 1, size of lhs = 0:
% 6.49/6.67     FALSE | FALSE
% 6.49/6.67        (used 0 times, uses = {})
% 6.49/6.67  
% 6.49/6.67  number of learnt formulas = 86
% 6.49/6.67  
% 6.49/6.67  
% 6.49/6.67  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.49/6.67  
% 6.49/6.67  randbase = 1
%------------------------------------------------------------------------------