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Geo-III---2018C.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : FLD008-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n021.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 06:01:02 EDT 2022

% Result   : Unsatisfiable 42.39s 42.56s
% Output   : Refutation 42.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD008-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 10:12:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 42.39/42.56  GeoParameters:
% 42.39/42.56  
% 42.39/42.56  tptp_input =     1
% 42.39/42.56  tptp_output =    0
% 42.39/42.56  nonempty =       1
% 42.39/42.56  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.39/42.56  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 42.39/42.56  
% 42.39/42.56  
% 42.39/42.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.39/42.56  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.39/42.56  
% 42.39/42.56  RuleSystem INPUT:
% 42.39/42.56  
% 42.39/42.56  Initial Rules:
% 42.39/42.56  #0: input, references = 112, size of lhs = 3:
% 42.39/42.56     sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1: input, references = 94, size of lhs = 3:
% 42.39/42.56     sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2: input, references = 76, size of lhs = 2:
% 42.39/42.56     P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3: input, references = 56, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4: input, references = 146, size of lhs = 2:
% 42.39/42.56     P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #5: input, references = 15, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), product-{F}(V2,V3,V1), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2) | product-{T}(V6,V5,V1)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #6: input, references = 6, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2), product-{F}(V6,V5,V1) | product-{T}(V2,V3,V1)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #7: input, references = 12, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #8: input, references = 3, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | product-{T}(V3,V2,V1), sum-{T}(V0,V2,V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #9: input, references = 33, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #10: input, references = 42, size of lhs = 6:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | sum-{T}(V2,V3,V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #11: input, references = 15, size of lhs = 6:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | product-{T}(V5,V6,V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #12: input, references = 9, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #13: input, references = 4, size of lhs = 2:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #14: input, references = 42, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #15: input, references = 15, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #16: input, references = 3, size of lhs = 2:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #17: input, references = 3, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), sum-{T}(V0,V2,V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #18: input, references = 15, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | sum-{T}(V3,V2,V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #19: input, references = 18, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | product-{T}(V3,V2,V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #20: input, references = 3, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | sum-{T}(V0,V2,V3)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #21: input, references = 3, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #22: input, references = 3, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #23: input, references = 3, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V5,V2), sum-{F}(V5,V4,V3), sum-{F}(V2,V4,V6) | less_or_equal-{T}(V3,V6)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #24: input, references = 3, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V0,V4), product-{F}(V4,V3,V2) | less_or_equal-{T}(V0,V2)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #25: input, references = 4, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #26: input, references = 4, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #27: input, references = 4, size of lhs = 4:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #28: input, references = 10, size of lhs = 5:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | defined-{T}(V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #29: input, references = 19, size of lhs = 6:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | defined-{T}(V5)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #30: input, references = 19, size of lhs = 6:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | sum-{T}(V2,V3,V4)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #31: input, references = 9, size of lhs = 8:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7) | sum-{T}(V6,V7,V5)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #32: input, references = 7, size of lhs = 10:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_additive_inverse-{F}(V4,V8), sum-{F}(V0,V8,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #33: input, references = 4, size of lhs = 0:
% 42.39/42.56     FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #34: input, references = 26, size of lhs = 1:
% 42.39/42.56     #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #35: input, references = 4, size of lhs = 0:
% 42.39/42.56     FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #36: input, references = 3, size of lhs = 1:
% 42.39/42.56     #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #37: input, references = 7, size of lhs = 2:
% 42.39/42.56     #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #38: input, references = 8, size of lhs = 2:
% 42.39/42.56     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #39: input, references = 4, size of lhs = 0:
% 42.39/42.56     FALSE | EXISTS V0: P_a-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #40: input, references = 4, size of lhs = 0:
% 42.39/42.56     FALSE | EXISTS V0: P_b-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #41: input, references = 6, size of lhs = 0:
% 42.39/42.56     FALSE | EXISTS V0: P_c-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #42: input, references = 9, size of lhs = 0:
% 42.39/42.56     FALSE | EXISTS V0: P_d-{T}(V0)
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  number of initial rules = 43
% 42.39/42.56  
% 42.39/42.56  Simplifiers:
% 42.39/42.56  #43: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #44: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #45: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #46: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #47: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #48: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #49: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #50: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #51: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #52: unsound, references = 3, size of lhs = 3:
% 42.39/42.56     P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  number of simplifiers = 10
% 42.39/42.56  
% 42.39/42.56  Learnt:
% 42.39/42.56  #89: mergings( V2 == V4, V4 == V8, V8 == V9, V9 == V10, V3 == V5, V5 == V11; #82 ), references = 1, size of lhs = 14:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V3,V5,V4), sum-{F}(V0,V5,V6), sum-{F}(V7,V3,V6), sum-{F}(V8,V7,V9), sum-{F}(V10,V8,V0), sum-{F}(V2,V10,V11), sum-{F}(V11,V9,V3) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #101: exists( #34, #32 ), references = 2, size of lhs = 8:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_additive_inverse-{F}(V3,V5), sum-{F}(V0,V5,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #107: mergings( V2 == V0, V0 == V3; #104 ), references = 1, size of lhs = 7:
% 42.39/42.56     P_d-{F}(V0), defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #129: mergings( V2 == V3, V3 == V7, V4 == V8, V5 == V9, V6 == V10; #123 ), references = 2, size of lhs = 16:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_additive_inverse-{F}(V3,V5), sum-{F}(V6,V5,V7), sum-{F}(V8,V7,V4), sum-{F}(V4,V9,V8), sum-{F}(V0,V10,V9), sum-{F}(V1,V10,V11), sum-{F}(V9,V12,V11), sum-{F}(V12,V6,V13), sum-{F}(V11,V13,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #136: mergings( V2 == V3, V3 == V7, V4 == V8, V0 == V9, V5 == V10, V6 == V11; #122 ), references = 2, size of lhs = 16:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_additive_inverse-{F}(V3,V5), sum-{F}(V6,V5,V7), sum-{F}(V8,V7,V4), sum-{F}(V4,V9,V8), sum-{F}(V0,V10,V9), sum-{F}(V1,V10,V11), sum-{F}(V9,V12,V11), sum-{F}(V12,V6,V13), sum-{F}(V11,V13,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #145: mergings( V2 == V3, V3 == V5; #141 ), references = 2, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V2,V4), sum-{F}(V4,V6,V5), sum-{F}(V1,V7,V6), sum-{F}(V2,V7,V8), sum-{F}(V6,V9,V8), sum-{F}(V9,V0,V10), sum-{F}(V8,V10,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #148: mergings( V2 == V3, V3 == V5; #142 ), references = 2, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V2,V4), sum-{F}(V4,V6,V5), sum-{F}(V1,V7,V6), sum-{F}(V2,V7,V8), sum-{F}(V6,V9,V8), sum-{F}(V9,V0,V10), sum-{F}(V8,V10,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #170: mergings( V1 == V6, V6 == V9, V9 == V10, V10 == V12, V2 == V7, V7 == V14, V3 == V13, V4 == V8, V8 == V13, V5 == V12, V12 == V11; #157 ), references = 1, size of lhs = 10:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), sum-{F}(V0,V1,V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V3,V1), sum-{F}(V3,V0,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #182: mergings( V1 == V6, V6 == V9, V9 == V10, V10 == V12, V2 == V7, V7 == V14, V3 == V13, V4 == V8, V8 == V13, V5 == V12, V12 == V11; #158 ), references = 1, size of lhs = 10:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), sum-{F}(V0,V1,V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V3,V1), sum-{F}(V3,V0,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #270: mergings( V2 == V4, V4 == V6, V3 == V7; #264 ), references = 2, size of lhs = 12:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V4,V2,V5), sum-{F}(V5,V2,V4), sum-{F}(V1,V6,V0), sum-{F}(V2,V6,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #274: mergings( V2 == V4, V4 == V6, V3 == V7; #265 ), references = 2, size of lhs = 12:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V4,V2,V5), sum-{F}(V5,V2,V4), sum-{F}(V1,V6,V0), sum-{F}(V2,V6,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #296: mergings( V1 == V6, V6 == V9, V9 == V12, V2 == V7, V7 == V13, V3 == V11, V4 == V8, V8 == V11, V5 == V10; #285 ), references = 1, size of lhs = 8:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V1,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #306: mergings( V1 == V6, V6 == V9, V9 == V12, V2 == V7, V7 == V13, V3 == V11, V4 == V8, V8 == V11, V5 == V10; #286 ), references = 1, size of lhs = 8:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V1,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #323: mergings( V1 == V5, V5 == V9, V9 == V12, V12 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V13, V4 == V8, V8 == V11, V11 == V13; #309 ), references = 1, size of lhs = 6:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V0,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #348: exists( #34, #32 ), references = 2, size of lhs = 9:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V3,V6), P_additive_inverse-{F}(V4,V7), sum-{F}(V0,V7,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #350: exists( #34, #347 ), references = 2, size of lhs = 8:
% 42.39/42.56     P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V4,V6), sum-{F}(V0,V6,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #458: mergings( V2 == V3, V3 == V5, V5 == V11, V11 == V12, V12 == V13, V13 == V14, V4 == V6, V6 == V15, V0 == V16, V7 == V17, V8 == V18, V9 == V19; #443 ), references = 2, size of lhs = 19:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_additive_inverse-{F}(V3,V4), P_c-{F}(V5), P_d-{F}(V6), P_additive_inverse-{F}(V5,V7), sum-{F}(V1,V8,V7), sum-{F}(V0,V8,V9), sum-{F}(V10,V1,V11), sum-{F}(V12,V10,V9), sum-{F}(V13,V11,V6), sum-{F}(V14,V12,V15), sum-{F}(V16,V15,V13), sum-{F}(V6,V17,V16), sum-{F}(V4,V17,V18), sum-{F}(V18,V14,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #471: mergings( V2 == V3, V3 == V5, V5 == V11, V11 == V12, V12 == V13, V13 == V14, V4 == V6, V6 == V15, V7 == V16, V10 == V19, V8 == V17, V9 == V18; #445 ), references = 2, size of lhs = 19:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V3,V6), P_additive_inverse-{F}(V4,V7), sum-{F}(V1,V8,V7), sum-{F}(V0,V8,V9), sum-{F}(V10,V1,V11), sum-{F}(V12,V10,V9), sum-{F}(V13,V11,V5), sum-{F}(V14,V12,V15), sum-{F}(V16,V15,V13), sum-{F}(V5,V17,V16), sum-{F}(V6,V17,V18), sum-{F}(V18,V14,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #485: mergings( V2 == V3, V3 == V5, V5 == V11, V11 == V12, V12 == V13, V13 == V14, V4 == V6, V6 == V15, V0 == V16, V7 == V17, V10 == V20, V8 == V18, V9 == V19; #444 ), references = 2, size of lhs = 19:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V3,V6), P_additive_inverse-{F}(V4,V7), sum-{F}(V1,V8,V7), sum-{F}(V0,V8,V9), sum-{F}(V10,V1,V11), sum-{F}(V12,V10,V9), sum-{F}(V13,V11,V5), sum-{F}(V14,V12,V15), sum-{F}(V16,V15,V13), sum-{F}(V5,V17,V16), sum-{F}(V6,V17,V18), sum-{F}(V18,V14,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #542: mergings( V2 == V0, V0 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V20, V20 == V21, V21 == V22, V4 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V23, V18 == V24, V19 == V25; #520 ), references = 2, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_additive_inverse-{F}(V3,V5), product-{F}(V4,V6,V1), product-{F}(V0,V6,V0), product-{F}(V7,V6,V7), sum-{F}(V7,V0,V0), sum-{F}(V8,V4,V0), sum-{F}(V7,V8,V9), product-{F}(V9,V6,V10), sum-{F}(V0,V10,V5), sum-{F}(V0,V11,V9), sum-{F}(V0,V11,V12), sum-{F}(V12,V13,V0), sum-{F}(V13,V0,V14), sum-{F}(V0,V15,V14), sum-{F}(V0,V15,V16), sum-{F}(V16,V0,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #564: mergings( V2 == V0, V0 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V20, V20 == V21, V21 == V22, V4 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V23, V15 == V24, V18 == V25, V19 == V26; #521 ), references = 2, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_additive_inverse-{F}(V3,V5), product-{F}(V4,V6,V1), product-{F}(V0,V6,V0), product-{F}(V7,V6,V7), sum-{F}(V7,V0,V0), sum-{F}(V8,V4,V0), sum-{F}(V7,V8,V9), product-{F}(V9,V6,V10), sum-{F}(V0,V10,V5), sum-{F}(V0,V11,V9), sum-{F}(V0,V11,V12), sum-{F}(V12,V13,V0), sum-{F}(V13,V0,V14), sum-{F}(V0,V15,V14), sum-{F}(V0,V15,V16), sum-{F}(V16,V0,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #587: mergings( V2 == V0, V0 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V20, V20 == V21, V21 == V22, V4 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V23, V15 == V24, V22 == V25, V18 == V26, V19 == V27; #519 ), references = 2, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_additive_inverse-{F}(V3,V5), product-{F}(V4,V6,V1), product-{F}(V0,V6,V0), product-{F}(V7,V6,V7), sum-{F}(V7,V0,V0), sum-{F}(V8,V4,V0), sum-{F}(V7,V8,V9), product-{F}(V9,V6,V10), sum-{F}(V0,V10,V5), sum-{F}(V0,V11,V9), sum-{F}(V0,V11,V12), sum-{F}(V12,V13,V0), sum-{F}(V13,V0,V14), sum-{F}(V0,V15,V14), sum-{F}(V0,V15,V16), sum-{F}(V16,V0,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #633: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V26, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V27, V0 == V24, V24 == V28; #606 ), references = 1, size of lhs = 17:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_b-{F}(V1), sum-{F}(V1,V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V4,V2), product-{F}(V4,V3,V3), product-{F}(V1,V4,V1), sum-{F}(V0,V1,V5), sum-{F}(V1,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V7,V1,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #659: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V26, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V27, V21 == V28, V0 == V24, V24 == V29; #607 ), references = 1, size of lhs = 17:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_b-{F}(V1), sum-{F}(V1,V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V4,V2), product-{F}(V4,V3,V3), product-{F}(V1,V4,V1), sum-{F}(V0,V1,V5), sum-{F}(V1,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V7,V1,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #686: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V26, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V27, V21 == V28, V26 == V29, V0 == V24, V24 == V30; #608 ), references = 1, size of lhs = 17:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), defined-{F}(V1), sum-{F}(V1,V1,V1), P_additive_identity-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V4,V2), product-{F}(V4,V3,V3), product-{F}(V1,V4,V1), sum-{F}(V0,V1,V5), sum-{F}(V1,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V7,V1,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #754: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V10; #745 ), references = 1, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V1,V3,V1), P_d-{F}(V4), product-{F}(V4,V3,V2), sum-{F}(V0,V1,V5), sum-{F}(V1,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V7,V1,V4), sum-{F}(V0,V8,V4), sum-{F}(V1,V8,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #761: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V10; #746 ), references = 1, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V1,V3,V1), P_d-{F}(V4), product-{F}(V4,V3,V2), sum-{F}(V0,V1,V5), sum-{F}(V1,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V7,V1,V4), sum-{F}(V0,V8,V4), sum-{F}(V1,V8,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #768: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V10; #747 ), references = 1, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_b-{F}(V1), sum-{F}(V1,V1,V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V1,V3,V1), P_d-{F}(V4), product-{F}(V4,V3,V2), sum-{F}(V0,V1,V5), sum-{F}(V1,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V7,V1,V4), sum-{F}(V0,V8,V4), sum-{F}(V1,V8,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #788: mergings( V2 == V4; #784 ), references = 5, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V4,V6), sum-{F}(V2,V7,V6), sum-{F}(V1,V7,V8), sum-{F}(V5,V0,V9), sum-{F}(V2,V10,V2), sum-{F}(V11,V2,V12), sum-{F}(V13,V11,V8), sum-{F}(V10,V13,V14), sum-{F}(V9,V14,V15), sum-{F}(V15,V12,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #790: mergings( V2 == V4; #785 ), references = 5, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V4,V6), sum-{F}(V2,V7,V6), sum-{F}(V1,V7,V8), sum-{F}(V5,V0,V9), sum-{F}(V2,V10,V2), sum-{F}(V11,V2,V12), sum-{F}(V13,V11,V8), sum-{F}(V10,V13,V14), sum-{F}(V9,V14,V15), sum-{F}(V15,V12,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #792: mergings( V2 == V4; #786 ), references = 5, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_additive_inverse-{F}(V4,V6), sum-{F}(V2,V7,V6), sum-{F}(V1,V7,V8), sum-{F}(V5,V0,V9), sum-{F}(V2,V10,V2), sum-{F}(V11,V2,V12), sum-{F}(V13,V11,V8), sum-{F}(V10,V13,V14), sum-{F}(V9,V14,V15), sum-{F}(V15,V12,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #821: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #814 ), references = 4, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), sum-{F}(V5,V1,V6), sum-{F}(V3,V7,V3), sum-{F}(V0,V8,V2), sum-{F}(V3,V8,V9), sum-{F}(V10,V3,V11), sum-{F}(V12,V10,V9), sum-{F}(V7,V12,V13), sum-{F}(V6,V13,V14), sum-{F}(V14,V11,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #826: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #815 ), references = 4, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), sum-{F}(V5,V1,V6), sum-{F}(V3,V7,V3), sum-{F}(V0,V8,V2), sum-{F}(V3,V8,V9), sum-{F}(V10,V3,V11), sum-{F}(V12,V10,V9), sum-{F}(V7,V12,V13), sum-{F}(V6,V13,V14), sum-{F}(V14,V11,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #831: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #816 ), references = 4, size of lhs = 18:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), sum-{F}(V5,V1,V6), sum-{F}(V3,V7,V3), sum-{F}(V0,V8,V2), sum-{F}(V3,V8,V9), sum-{F}(V10,V3,V11), sum-{F}(V12,V10,V9), sum-{F}(V7,V12,V13), sum-{F}(V6,V13,V14), sum-{F}(V14,V11,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #869: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V19, V2 == V7, V7 == V15, V15 == V20, V3 == V8, V8 == V18, V4 == V9, V9 == V19, V5 == V16; #850 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V0), sum-{F}(V5,V0,V0), sum-{F}(V4,V6,V0), sum-{F}(V6,V5,V7), sum-{F}(V0,V8,V7), sum-{F}(V8,V2,V9), sum-{F}(V9,V0,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #886: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V19, V2 == V7, V7 == V15, V15 == V20, V3 == V8, V8 == V18, V4 == V9, V9 == V19, V5 == V16; #851 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V0), sum-{F}(V5,V0,V0), sum-{F}(V4,V6,V0), sum-{F}(V6,V5,V7), sum-{F}(V0,V8,V7), sum-{F}(V8,V2,V9), sum-{F}(V9,V0,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #903: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V19, V2 == V7, V7 == V15, V15 == V20, V3 == V8, V8 == V18, V4 == V9, V9 == V19, V5 == V16; #852 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V0), sum-{F}(V5,V0,V0), sum-{F}(V4,V6,V0), sum-{F}(V6,V5,V7), sum-{F}(V0,V8,V7), sum-{F}(V8,V2,V9), sum-{F}(V9,V0,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #929: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V21, V2 == V6, V6 == V10, V10 == V18, V18 == V22, V3 == V7, V7 == V11, V11 == V20, V4 == V8, V8 == V12, V12 == V21; #907 ), references = 1, size of lhs = 13:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V3,V0), sum-{F}(V4,V0,V0), sum-{F}(V3,V5,V0), sum-{F}(V5,V4,V6), sum-{F}(V0,V7,V6), sum-{F}(V7,V1,V8), sum-{F}(V8,V0,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #949: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V21, V2 == V6, V6 == V10, V10 == V18, V18 == V22, V3 == V7, V7 == V11, V11 == V20, V4 == V8, V8 == V12, V12 == V21; #908 ), references = 1, size of lhs = 13:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V3,V0), sum-{F}(V4,V0,V0), sum-{F}(V3,V5,V0), sum-{F}(V5,V4,V6), sum-{F}(V0,V7,V6), sum-{F}(V7,V1,V8), sum-{F}(V8,V0,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #969: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V21, V2 == V6, V6 == V10, V10 == V18, V18 == V22, V3 == V7, V7 == V11, V11 == V20, V4 == V8, V8 == V12, V12 == V21; #909 ), references = 1, size of lhs = 13:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V3,V0), sum-{F}(V4,V0,V0), sum-{F}(V3,V5,V0), sum-{F}(V5,V4,V6), sum-{F}(V0,V7,V6), sum-{F}(V7,V1,V8), sum-{F}(V8,V0,V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1052: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V4 == V9; #1044 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V4,V0,V5), sum-{F}(V1,V5,V1), sum-{F}(V2,V6,V2), sum-{F}(V6,V7,V2), sum-{F}(V7,V8,V2), sum-{F}(V8,V2,V9), sum-{F}(V2,V9,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1058: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V4 == V9; #1045 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V4,V0,V5), sum-{F}(V1,V5,V1), sum-{F}(V2,V6,V2), sum-{F}(V6,V7,V2), sum-{F}(V7,V8,V2), sum-{F}(V8,V2,V9), sum-{F}(V2,V9,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1064: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V4 == V9; #1046 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), sum-{F}(V4,V0,V5), sum-{F}(V1,V5,V1), sum-{F}(V2,V6,V2), sum-{F}(V6,V7,V2), sum-{F}(V7,V8,V2), sum-{F}(V8,V2,V9), sum-{F}(V2,V9,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1262: mergings( V2 == V3, V3 == V4, V4 == V8; #1256 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_b-{F}(V2), sum-{F}(V0,V2,V0), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_d-{F}(V6), sum-{F}(V4,V7,V4), sum-{F}(V1,V8,V3), sum-{F}(V4,V8,V9), sum-{F}(V4,V10,V6), sum-{F}(V4,V10,V11), sum-{F}(V12,V4,V13), sum-{F}(V14,V12,V9), sum-{F}(V7,V14,V15), sum-{F}(V11,V15,V16), sum-{F}(V16,V13,V6) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1266: mergings( V2 == V3, V3 == V4, V4 == V8; #1257 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_b-{F}(V2), sum-{F}(V0,V2,V0), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_d-{F}(V6), sum-{F}(V4,V7,V4), sum-{F}(V1,V8,V3), sum-{F}(V4,V8,V9), sum-{F}(V4,V10,V6), sum-{F}(V4,V10,V11), sum-{F}(V12,V4,V13), sum-{F}(V14,V12,V9), sum-{F}(V7,V14,V15), sum-{F}(V11,V15,V16), sum-{F}(V16,V13,V6) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1270: mergings( V2 == V3, V3 == V4, V4 == V8; #1258 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_b-{F}(V2), sum-{F}(V0,V2,V0), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_d-{F}(V6), sum-{F}(V4,V7,V4), sum-{F}(V1,V8,V3), sum-{F}(V4,V8,V9), sum-{F}(V4,V10,V6), sum-{F}(V4,V10,V11), sum-{F}(V12,V4,V13), sum-{F}(V14,V12,V9), sum-{F}(V7,V14,V15), sum-{F}(V11,V15,V16), sum-{F}(V16,V13,V6) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1299: mergings( V1 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V2 == V7, V7 == V17, V3 == V8, V8 == V15, V4 == V14, V5 == V15, V15 == V13; #1283 ), references = 1, size of lhs = 13:
% 42.39/42.56     P_c-{F}(V0), defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V4,V2), sum-{F}(V0,V5,V0), sum-{F}(V2,V5,V6), sum-{F}(V7,V2,V2), sum-{F}(V8,V7,V6), sum-{F}(V4,V8,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1313: mergings( V1 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V2 == V7, V7 == V17, V3 == V8, V8 == V15, V4 == V14, V5 == V15, V15 == V13; #1284 ), references = 1, size of lhs = 13:
% 42.39/42.56     P_c-{F}(V0), defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V4,V2), sum-{F}(V0,V5,V0), sum-{F}(V2,V5,V6), sum-{F}(V7,V2,V2), sum-{F}(V8,V7,V6), sum-{F}(V4,V8,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1327: mergings( V1 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V2 == V7, V7 == V17, V3 == V8, V8 == V15, V4 == V14, V5 == V15, V15 == V13; #1285 ), references = 1, size of lhs = 13:
% 42.39/42.56     P_c-{F}(V0), defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V4,V2), sum-{F}(V0,V5,V0), sum-{F}(V2,V5,V6), sum-{F}(V7,V2,V2), sum-{F}(V8,V7,V6), sum-{F}(V4,V8,V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1383: mergings( V3 == V5, V5 == V6, V6 == V10, V4 == V11; #1376 ), references = 6, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), sum-{F}(V5,V8,V5), sum-{F}(V2,V9,V4), sum-{F}(V5,V9,V10), sum-{F}(V11,V7,V0), sum-{F}(V1,V11,V3), sum-{F}(V12,V1,V13), sum-{F}(V13,V0,V14), sum-{F}(V14,V15,V16), sum-{F}(V12,V15,V17), sum-{F}(V8,V18,V17), sum-{F}(V18,V19,V10), sum-{F}(V19,V5,V20), sum-{F}(V16,V20,V7) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1388: mergings( V3 == V5, V5 == V6, V6 == V10, V4 == V11; #1377 ), references = 6, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), sum-{F}(V5,V8,V5), sum-{F}(V2,V9,V4), sum-{F}(V5,V9,V10), sum-{F}(V11,V7,V0), sum-{F}(V1,V11,V3), sum-{F}(V12,V1,V13), sum-{F}(V13,V0,V14), sum-{F}(V14,V15,V16), sum-{F}(V12,V15,V17), sum-{F}(V8,V18,V17), sum-{F}(V18,V19,V10), sum-{F}(V19,V5,V20), sum-{F}(V16,V20,V7) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1393: mergings( V3 == V5, V5 == V6, V6 == V10, V4 == V11; #1378 ), references = 6, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), sum-{F}(V5,V8,V5), sum-{F}(V2,V9,V4), sum-{F}(V5,V9,V10), sum-{F}(V11,V7,V0), sum-{F}(V1,V11,V3), sum-{F}(V12,V1,V13), sum-{F}(V13,V0,V14), sum-{F}(V14,V15,V16), sum-{F}(V12,V15,V17), sum-{F}(V8,V18,V17), sum-{F}(V18,V19,V10), sum-{F}(V19,V5,V20), sum-{F}(V16,V20,V7) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1433: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V15, V2 == V7, V7 == V16, V3 == V8, V8 == V14, V4 == V9, V9 == V13, V5 == V15, V15 == V12; #1418 ), references = 1, size of lhs = 16:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), sum-{F}(V1,V0,V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V0), sum-{F}(V0,V5,V2), sum-{F}(V0,V5,V6), sum-{F}(V7,V0,V0), sum-{F}(V8,V7,V6), sum-{F}(V4,V8,V9), sum-{F}(V2,V0,V9) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1446: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V15, V2 == V7, V7 == V16, V3 == V8, V8 == V14, V4 == V9, V9 == V13, V5 == V15, V15 == V12; #1419 ), references = 1, size of lhs = 16:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), sum-{F}(V1,V0,V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V0), sum-{F}(V0,V5,V2), sum-{F}(V0,V5,V6), sum-{F}(V7,V0,V0), sum-{F}(V8,V7,V6), sum-{F}(V4,V8,V9), sum-{F}(V2,V0,V9) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1459: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V15, V2 == V7, V7 == V16, V3 == V8, V8 == V14, V4 == V9, V9 == V13, V5 == V15, V15 == V12; #1420 ), references = 1, size of lhs = 16:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), sum-{F}(V1,V0,V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V0), sum-{F}(V0,V5,V2), sum-{F}(V0,V5,V6), sum-{F}(V7,V0,V0), sum-{F}(V8,V7,V6), sum-{F}(V4,V8,V9), sum-{F}(V2,V0,V9) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1659: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V20, V4 == V6, V6 == V8, V8 == V11, V11 == V16, V16 == V21; #1642 ), references = 1, size of lhs = 33:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), sum-{F}(V7,V3,V2), sum-{F}(V5,V8,V5), sum-{F}(V5,V9,V9), sum-{F}(V8,V10,V9), product-{F}(V11,V1,V10), sum-{F}(V12,V11,V0), product-{F}(V12,V1,V13), sum-{F}(V14,V13,V2), sum-{F}(V14,V15,V4), sum-{F}(V16,V4,V17), sum-{F}(V16,V10,V18), sum-{F}(V19,V16,V15), sum-{F}(V20,V17,V7), sum-{F}(V20,V18,V9), sum-{F}(V21,V16,V22), sum-{F}(V23,V21,V20), sum-{F}(V22,V24,V19), sum-{F}(V23,V25,V5), sum-{F}(V25,V24,V20), product-{F}(V26,V1,V25), sum-{F}(V26,V0,V27), product-{F}(V27,V1,V22) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1674: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V20, V4 == V6, V6 == V8, V8 == V11, V11 == V16, V16 == V21; #1643 ), references = 1, size of lhs = 33:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), sum-{F}(V7,V3,V2), sum-{F}(V5,V8,V5), sum-{F}(V5,V9,V9), sum-{F}(V8,V10,V9), product-{F}(V11,V1,V10), sum-{F}(V12,V11,V0), product-{F}(V12,V1,V13), sum-{F}(V14,V13,V2), sum-{F}(V14,V15,V4), sum-{F}(V16,V4,V17), sum-{F}(V16,V10,V18), sum-{F}(V19,V16,V15), sum-{F}(V20,V17,V7), sum-{F}(V20,V18,V9), sum-{F}(V21,V16,V22), sum-{F}(V23,V21,V20), sum-{F}(V22,V24,V19), sum-{F}(V23,V25,V5), sum-{F}(V25,V24,V20), product-{F}(V26,V1,V25), sum-{F}(V26,V0,V27), product-{F}(V27,V1,V22) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1689: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V20, V4 == V6, V6 == V8, V8 == V11, V11 == V16, V16 == V21; #1644 ), references = 1, size of lhs = 33:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), sum-{F}(V7,V3,V2), sum-{F}(V5,V8,V5), sum-{F}(V5,V9,V9), sum-{F}(V8,V10,V9), product-{F}(V11,V1,V10), sum-{F}(V12,V11,V0), product-{F}(V12,V1,V13), sum-{F}(V14,V13,V2), sum-{F}(V14,V15,V4), sum-{F}(V16,V4,V17), sum-{F}(V16,V10,V18), sum-{F}(V19,V16,V15), sum-{F}(V20,V17,V7), sum-{F}(V20,V18,V9), sum-{F}(V21,V16,V22), sum-{F}(V23,V21,V20), sum-{F}(V22,V24,V19), sum-{F}(V23,V25,V5), sum-{F}(V25,V24,V20), product-{F}(V26,V1,V25), sum-{F}(V26,V0,V27), product-{F}(V27,V1,V22) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1812: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V18, V4 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V19; #1796 ), references = 1, size of lhs = 34:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), P_additive_inverse-{F}(V6,V8), sum-{F}(V7,V2,V9), sum-{F}(V4,V10,V4), sum-{F}(V7,V4,V11), product-{F}(V12,V1,V3), product-{F}(V13,V1,V11), sum-{F}(V12,V13,V0), sum-{F}(V4,V14,V8), sum-{F}(V7,V15,V14), sum-{F}(V9,V16,V4), product-{F}(V17,V1,V16), sum-{F}(V17,V0,V18), product-{F}(V18,V1,V19), sum-{F}(V10,V20,V19), sum-{F}(V21,V3,V20), sum-{F}(V22,V11,V23), sum-{F}(V24,V22,V19), sum-{F}(V9,V24,V25), sum-{F}(V25,V23,V7), sum-{F}(V16,V26,V25), sum-{F}(V19,V26,V27), sum-{F}(V27,V22,V28), sum-{F}(V28,V15,V29), sum-{F}(V21,V28,V29) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1826: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V18, V4 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V19; #1797 ), references = 1, size of lhs = 34:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), P_additive_inverse-{F}(V6,V8), sum-{F}(V7,V2,V9), sum-{F}(V4,V10,V4), sum-{F}(V7,V4,V11), product-{F}(V12,V1,V3), product-{F}(V13,V1,V11), sum-{F}(V12,V13,V0), sum-{F}(V4,V14,V8), sum-{F}(V7,V15,V14), sum-{F}(V9,V16,V4), product-{F}(V17,V1,V16), sum-{F}(V17,V0,V18), product-{F}(V18,V1,V19), sum-{F}(V10,V20,V19), sum-{F}(V21,V3,V20), sum-{F}(V22,V11,V23), sum-{F}(V24,V22,V19), sum-{F}(V9,V24,V25), sum-{F}(V25,V23,V7), sum-{F}(V16,V26,V25), sum-{F}(V19,V26,V27), sum-{F}(V27,V22,V28), sum-{F}(V28,V15,V29), sum-{F}(V21,V28,V29) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1840: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V18, V4 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V19; #1798 ), references = 1, size of lhs = 34:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), P_additive_inverse-{F}(V6,V8), sum-{F}(V7,V2,V9), sum-{F}(V4,V10,V4), sum-{F}(V7,V4,V11), product-{F}(V12,V1,V3), product-{F}(V13,V1,V11), sum-{F}(V12,V13,V0), sum-{F}(V4,V14,V8), sum-{F}(V7,V15,V14), sum-{F}(V9,V16,V4), product-{F}(V17,V1,V16), sum-{F}(V17,V0,V18), product-{F}(V18,V1,V19), sum-{F}(V10,V20,V19), sum-{F}(V21,V3,V20), sum-{F}(V22,V11,V23), sum-{F}(V24,V22,V19), sum-{F}(V9,V24,V25), sum-{F}(V25,V23,V7), sum-{F}(V16,V26,V25), sum-{F}(V19,V26,V27), sum-{F}(V27,V22,V28), sum-{F}(V28,V15,V29), sum-{F}(V21,V28,V29) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1898: mergings( V3 == V5, V5 == V7, V4 == V8; #1892 ), references = 5, size of lhs = 17:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), P_additive_inverse-{F}(V5,V7), sum-{F}(V3,V0,V7), sum-{F}(V6,V1,V8), sum-{F}(V3,V9,V3), sum-{F}(V2,V3,V10), sum-{F}(V9,V0,V11), sum-{F}(V8,V11,V12), sum-{F}(V12,V10,V6) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1902: mergings( V3 == V5, V5 == V7, V4 == V8; #1893 ), references = 5, size of lhs = 17:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), P_additive_inverse-{F}(V5,V7), sum-{F}(V3,V0,V7), sum-{F}(V6,V1,V8), sum-{F}(V3,V9,V3), sum-{F}(V2,V3,V10), sum-{F}(V9,V0,V11), sum-{F}(V8,V11,V12), sum-{F}(V12,V10,V6) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1906: mergings( V3 == V5, V5 == V7, V4 == V8; #1894 ), references = 5, size of lhs = 17:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), P_additive_inverse-{F}(V5,V7), sum-{F}(V3,V0,V7), sum-{F}(V6,V1,V8), sum-{F}(V3,V9,V3), sum-{F}(V2,V3,V10), sum-{F}(V9,V0,V11), sum-{F}(V8,V11,V12), sum-{F}(V12,V10,V6) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1929: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #1922 ), references = 1, size of lhs = 13:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), sum-{F}(V5,V1,V0), sum-{F}(V2,V3,V6), sum-{F}(V3,V6,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1934: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #1923 ), references = 1, size of lhs = 13:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), sum-{F}(V5,V1,V0), sum-{F}(V2,V3,V6), sum-{F}(V3,V6,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #1939: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #1924 ), references = 1, size of lhs = 13:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), sum-{F}(V5,V1,V0), sum-{F}(V2,V3,V6), sum-{F}(V3,V6,V5) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2225: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V10, V4 == V11; #2217 ), references = 1, size of lhs = 19:
% 42.39/42.56     P_d-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), sum-{F}(V4,V0,V1), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_additive_inverse-{F}(V6,V7), sum-{F}(V0,V2,V7), sum-{F}(V0,V3,V8), sum-{F}(V0,V9,V0), sum-{F}(V9,V2,V10), sum-{F}(V0,V11,V8), sum-{F}(V1,V11,V12), sum-{F}(V12,V10,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2231: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V10, V4 == V11; #2218 ), references = 1, size of lhs = 19:
% 42.39/42.56     P_d-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), sum-{F}(V4,V0,V1), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_additive_inverse-{F}(V6,V7), sum-{F}(V0,V2,V7), sum-{F}(V0,V3,V8), sum-{F}(V0,V9,V0), sum-{F}(V9,V2,V10), sum-{F}(V0,V11,V8), sum-{F}(V1,V11,V12), sum-{F}(V12,V10,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2237: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V10, V4 == V11; #2219 ), references = 1, size of lhs = 19:
% 42.39/42.56     P_d-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), sum-{F}(V4,V0,V1), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_additive_inverse-{F}(V6,V7), sum-{F}(V0,V2,V7), sum-{F}(V0,V3,V8), sum-{F}(V0,V9,V0), sum-{F}(V9,V2,V10), sum-{F}(V0,V11,V8), sum-{F}(V1,V11,V12), sum-{F}(V12,V10,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2261: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V13, V3 == V7, V7 == V14; #2250 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), sum-{F}(V4,V1,V2), P_multiplicative_identity-{F}(V5), sum-{F}(V1,V3,V6), sum-{F}(V1,V7,V6), sum-{F}(V2,V7,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2270: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V13, V3 == V7, V7 == V14; #2251 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), sum-{F}(V4,V1,V2), P_multiplicative_identity-{F}(V5), sum-{F}(V1,V3,V6), sum-{F}(V1,V7,V6), sum-{F}(V2,V7,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2279: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V13, V3 == V7, V7 == V14; #2252 ), references = 1, size of lhs = 15:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), sum-{F}(V4,V1,V2), P_multiplicative_identity-{F}(V5), sum-{F}(V1,V3,V6), sum-{F}(V1,V7,V6), sum-{F}(V2,V7,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2395: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V14; #2385 ), references = 1, size of lhs = 22:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_c-{F}(V7), P_d-{F}(V8), P_additive_inverse-{F}(V7,V9), sum-{F}(V5,V2,V9), sum-{F}(V5,V10,V5), sum-{F}(V4,V5,V11), sum-{F}(V10,V2,V12), sum-{F}(V8,V12,V13), sum-{F}(V3,V13,V14), sum-{F}(V14,V11,V8), product-{F}(V15,V1,V8), product-{F}(V16,V1,V3), sum-{F}(V16,V15,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2403: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V14; #2386 ), references = 1, size of lhs = 22:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_c-{F}(V7), P_d-{F}(V8), P_additive_inverse-{F}(V7,V9), sum-{F}(V5,V2,V9), sum-{F}(V5,V10,V5), sum-{F}(V4,V5,V11), sum-{F}(V10,V2,V12), sum-{F}(V8,V12,V13), sum-{F}(V3,V13,V14), sum-{F}(V14,V11,V8), product-{F}(V15,V1,V8), product-{F}(V16,V1,V3), sum-{F}(V16,V15,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2411: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V14; #2387 ), references = 1, size of lhs = 22:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_b-{F}(V3), defined-{F}(V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_c-{F}(V7), P_d-{F}(V8), P_additive_inverse-{F}(V7,V9), sum-{F}(V5,V2,V9), sum-{F}(V5,V10,V5), sum-{F}(V4,V5,V11), sum-{F}(V10,V2,V12), sum-{F}(V8,V12,V13), sum-{F}(V3,V13,V14), sum-{F}(V14,V11,V8), product-{F}(V15,V1,V8), product-{F}(V16,V1,V3), sum-{F}(V16,V15,V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2733: mergings( V3 == V5, V5 == V12, V4 == V6, V6 == V13; #2726 ), references = 2, size of lhs = 25:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V11,V9,V2), sum-{F}(V3,V11,V5), sum-{F}(V4,V1,V12), sum-{F}(V12,V0,V6), sum-{F}(V10,V1,V13), sum-{F}(V0,V7,V14), sum-{F}(V15,V14,V9), sum-{F}(V16,V3,V17), sum-{F}(V17,V2,V18), sum-{F}(V18,V19,V15), sum-{F}(V16,V19,V13) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2738: mergings( V3 == V5, V5 == V12, V4 == V6, V6 == V13; #2727 ), references = 2, size of lhs = 25:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V11,V9,V2), sum-{F}(V3,V11,V5), sum-{F}(V4,V1,V12), sum-{F}(V12,V0,V6), sum-{F}(V10,V1,V13), sum-{F}(V0,V7,V14), sum-{F}(V15,V14,V9), sum-{F}(V16,V3,V17), sum-{F}(V17,V2,V18), sum-{F}(V18,V19,V15), sum-{F}(V16,V19,V13) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2743: mergings( V3 == V5, V5 == V12, V4 == V6, V6 == V13; #2728 ), references = 2, size of lhs = 25:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V11,V9,V2), sum-{F}(V3,V11,V5), sum-{F}(V4,V1,V12), sum-{F}(V12,V0,V6), sum-{F}(V10,V1,V13), sum-{F}(V0,V7,V14), sum-{F}(V15,V14,V9), sum-{F}(V16,V3,V17), sum-{F}(V17,V2,V18), sum-{F}(V18,V19,V15), sum-{F}(V16,V19,V13) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2934: mergings( V2 == V3, V3 == V11; #2929 ), references = 1, size of lhs = 28:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_c-{F}(V5), defined-{F}(V6), P_b-{F}(V6), defined-{F}(V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_d-{F}(V10), sum-{F}(V8,V11,V8), sum-{F}(V5,V2,V12), sum-{F}(V12,V1,V7), sum-{F}(V11,V2,V13), sum-{F}(V1,V8,V14), sum-{F}(V0,V15,V10), sum-{F}(V8,V15,V3), sum-{F}(V16,V0,V4), sum-{F}(V16,V8,V6), sum-{F}(V17,V14,V10), sum-{F}(V18,V4,V19), sum-{F}(V19,V3,V20), sum-{F}(V20,V21,V17), sum-{F}(V18,V21,V13) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2937: mergings( V2 == V3, V3 == V11; #2930 ), references = 1, size of lhs = 28:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_c-{F}(V5), defined-{F}(V6), P_b-{F}(V6), defined-{F}(V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_d-{F}(V10), sum-{F}(V8,V11,V8), sum-{F}(V5,V2,V12), sum-{F}(V12,V1,V7), sum-{F}(V11,V2,V13), sum-{F}(V1,V8,V14), sum-{F}(V0,V15,V10), sum-{F}(V8,V15,V3), sum-{F}(V16,V0,V4), sum-{F}(V16,V8,V6), sum-{F}(V17,V14,V10), sum-{F}(V18,V4,V19), sum-{F}(V19,V3,V20), sum-{F}(V20,V21,V17), sum-{F}(V18,V21,V13) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2940: mergings( V2 == V3, V3 == V11; #2931 ), references = 1, size of lhs = 28:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_c-{F}(V5), defined-{F}(V6), P_b-{F}(V6), defined-{F}(V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_d-{F}(V10), sum-{F}(V8,V11,V8), sum-{F}(V5,V2,V12), sum-{F}(V12,V1,V7), sum-{F}(V11,V2,V13), sum-{F}(V1,V8,V14), sum-{F}(V0,V15,V10), sum-{F}(V8,V15,V3), sum-{F}(V16,V0,V4), sum-{F}(V16,V8,V6), sum-{F}(V17,V14,V10), sum-{F}(V18,V4,V19), sum-{F}(V19,V3,V20), sum-{F}(V20,V21,V17), sum-{F}(V18,V21,V13) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2967: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V15, V4 == V16; #2956 ), references = 1, size of lhs = 22:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_c-{F}(V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V6,V1,V5), sum-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7), P_d-{F}(V8), sum-{F}(V1,V6,V9), sum-{F}(V0,V10,V8), sum-{F}(V6,V10,V2), sum-{F}(V11,V0,V3), sum-{F}(V11,V6,V4), sum-{F}(V6,V2,V12), sum-{F}(V12,V6,V13), sum-{F}(V13,V9,V8) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2976: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V15, V4 == V16; #2957 ), references = 1, size of lhs = 22:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_c-{F}(V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V6,V1,V5), sum-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7), P_d-{F}(V8), sum-{F}(V1,V6,V9), sum-{F}(V0,V10,V8), sum-{F}(V6,V10,V2), sum-{F}(V11,V0,V3), sum-{F}(V11,V6,V4), sum-{F}(V6,V2,V12), sum-{F}(V12,V6,V13), sum-{F}(V13,V9,V8) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #2985: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V15, V4 == V16; #2958 ), references = 1, size of lhs = 22:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_c-{F}(V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V6,V1,V5), sum-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7), P_d-{F}(V8), sum-{F}(V1,V6,V9), sum-{F}(V0,V10,V8), sum-{F}(V6,V10,V2), sum-{F}(V11,V0,V3), sum-{F}(V11,V6,V4), sum-{F}(V6,V2,V12), sum-{F}(V12,V6,V13), sum-{F}(V13,V9,V8) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3235: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V24; #3217 ), references = 1, size of lhs = 35:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V10,V3,V5), sum-{F}(V7,V11,V9), sum-{F}(V7,V12,V7), sum-{F}(V12,V3,V13), product-{F}(V14,V1,V3), sum-{F}(V14,V15,V0), product-{F}(V15,V1,V16), sum-{F}(V7,V16,V5), sum-{F}(V16,V7,V3), sum-{F}(V17,V3,V4), sum-{F}(V7,V18,V17), sum-{F}(V2,V19,V9), sum-{F}(V19,V2,V9), sum-{F}(V19,V18,V6), sum-{F}(V19,V11,V2), sum-{F}(V19,V13,V5), product-{F}(V20,V1,V21), sum-{F}(V0,V20,V22), product-{F}(V22,V1,V23), sum-{F}(V21,V24,V7), sum-{F}(V23,V24,V19) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3251: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V24; #3218 ), references = 1, size of lhs = 35:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V10,V3,V5), sum-{F}(V7,V11,V9), sum-{F}(V7,V12,V7), sum-{F}(V12,V3,V13), product-{F}(V14,V1,V3), sum-{F}(V14,V15,V0), product-{F}(V15,V1,V16), sum-{F}(V7,V16,V5), sum-{F}(V16,V7,V3), sum-{F}(V17,V3,V4), sum-{F}(V7,V18,V17), sum-{F}(V2,V19,V9), sum-{F}(V19,V2,V9), sum-{F}(V19,V18,V6), sum-{F}(V19,V11,V2), sum-{F}(V19,V13,V5), product-{F}(V20,V1,V21), sum-{F}(V0,V20,V22), product-{F}(V22,V1,V23), sum-{F}(V21,V24,V7), sum-{F}(V23,V24,V19) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3267: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V24; #3219 ), references = 1, size of lhs = 35:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V10,V3,V5), sum-{F}(V7,V11,V9), sum-{F}(V7,V12,V7), sum-{F}(V12,V3,V13), product-{F}(V14,V1,V3), sum-{F}(V14,V15,V0), product-{F}(V15,V1,V16), sum-{F}(V7,V16,V5), sum-{F}(V16,V7,V3), sum-{F}(V17,V3,V4), sum-{F}(V7,V18,V17), sum-{F}(V2,V19,V9), sum-{F}(V19,V2,V9), sum-{F}(V19,V18,V6), sum-{F}(V19,V11,V2), sum-{F}(V19,V13,V5), product-{F}(V20,V1,V21), sum-{F}(V0,V20,V22), product-{F}(V22,V1,V23), sum-{F}(V21,V24,V7), sum-{F}(V23,V24,V19) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3423: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V16, V4 == V7, V7 == V10, V10 == V12, V12 == V17; #3409 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), product-{F}(V4,V5,V7), P_additive_inverse-{F}(V6,V8), sum-{F}(V4,V1,V8), sum-{F}(V7,V2,V9), sum-{F}(V4,V10,V4), sum-{F}(V3,V4,V11), product-{F}(V0,V5,V11), sum-{F}(V10,V1,V12), sum-{F}(V4,V13,V9), sum-{F}(V0,V13,V14), sum-{F}(V14,V12,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3435: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V16, V4 == V7, V7 == V10, V10 == V12, V12 == V17; #3410 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), product-{F}(V4,V5,V7), P_additive_inverse-{F}(V6,V8), sum-{F}(V4,V1,V8), sum-{F}(V7,V2,V9), sum-{F}(V4,V10,V4), sum-{F}(V3,V4,V11), product-{F}(V0,V5,V11), sum-{F}(V10,V1,V12), sum-{F}(V4,V13,V9), sum-{F}(V0,V13,V14), sum-{F}(V14,V12,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3447: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V16, V4 == V7, V7 == V10, V10 == V12, V12 == V17; #3411 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), product-{F}(V4,V5,V7), P_additive_inverse-{F}(V6,V8), sum-{F}(V4,V1,V8), sum-{F}(V7,V2,V9), sum-{F}(V4,V10,V4), sum-{F}(V3,V4,V11), product-{F}(V0,V5,V11), sum-{F}(V10,V1,V12), sum-{F}(V4,V13,V9), sum-{F}(V0,V13,V14), sum-{F}(V14,V12,V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3787: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V34, V34 == V41, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V33, V33 == V35, V35 == V42; #3751 ), references = 1, size of lhs = 52:
% 42.39/42.56     defined-{F}(V0), sum-{F}(V0,V0,V0), defined-{F}(V1), sum-{F}(V1,V1,V0), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V11,V9,V2), sum-{F}(V3,V11,V5), product-{F}(V12,V0,V7), sum-{F}(V1,V1,V13), product-{F}(V14,V0,V7), sum-{F}(V13,V14,V15), product-{F}(V15,V0,V0), sum-{F}(V13,V12,V16), product-{F}(V16,V0,V17), sum-{F}(V7,V18,V18), sum-{F}(V19,V19,V7), product-{F}(V20,V1,V19), sum-{F}(V20,V0,V21), product-{F}(V21,V1,V22), sum-{F}(V22,V22,V23), product-{F}(V23,V15,V7), product-{F}(V23,V15,V24), sum-{F}(V25,V17,V9), sum-{F}(V10,V26,V27), sum-{F}(V18,V28,V27), sum-{F}(V29,V28,V25), sum-{F}(V30,V2,V29), sum-{F}(V31,V26,V32), sum-{F}(V33,V31,V22), sum-{F}(V19,V33,V34), sum-{F}(V34,V32,V18), sum-{F}(V35,V36,V24), product-{F}(V35,V1,V37), sum-{F}(V26,V37,V38), sum-{F}(V4,V38,V39), product-{F}(V36,V1,V40), sum-{F}(V31,V40,V41), sum-{F}(V34,V41,V42), sum-{F}(V39,V42,V6), sum-{F}(V42,V3,V43), sum-{F}(V38,V43,V30) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3821: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V34, V34 == V41, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V33, V33 == V35, V35 == V42; #3752 ), references = 1, size of lhs = 52:
% 42.39/42.56     defined-{F}(V0), sum-{F}(V0,V0,V0), defined-{F}(V1), sum-{F}(V1,V1,V0), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V11,V9,V2), sum-{F}(V3,V11,V5), product-{F}(V12,V0,V7), sum-{F}(V1,V1,V13), product-{F}(V14,V0,V7), sum-{F}(V13,V14,V15), product-{F}(V15,V0,V0), sum-{F}(V13,V12,V16), product-{F}(V16,V0,V17), sum-{F}(V7,V18,V18), sum-{F}(V19,V19,V7), product-{F}(V20,V1,V19), sum-{F}(V20,V0,V21), product-{F}(V21,V1,V22), sum-{F}(V22,V22,V23), product-{F}(V23,V15,V7), product-{F}(V23,V15,V24), sum-{F}(V25,V17,V9), sum-{F}(V10,V26,V27), sum-{F}(V18,V28,V27), sum-{F}(V29,V28,V25), sum-{F}(V30,V2,V29), sum-{F}(V31,V26,V32), sum-{F}(V33,V31,V22), sum-{F}(V19,V33,V34), sum-{F}(V34,V32,V18), sum-{F}(V35,V36,V24), product-{F}(V35,V1,V37), sum-{F}(V26,V37,V38), sum-{F}(V4,V38,V39), product-{F}(V36,V1,V40), sum-{F}(V31,V40,V41), sum-{F}(V34,V41,V42), sum-{F}(V39,V42,V6), sum-{F}(V42,V3,V43), sum-{F}(V38,V43,V30) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #3855: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V34, V34 == V41, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V33, V33 == V35, V35 == V42; #3753 ), references = 1, size of lhs = 52:
% 42.39/42.56     defined-{F}(V0), sum-{F}(V0,V0,V0), defined-{F}(V1), sum-{F}(V1,V1,V0), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V7,V10,V7), sum-{F}(V11,V9,V2), sum-{F}(V3,V11,V5), product-{F}(V12,V0,V7), sum-{F}(V1,V1,V13), product-{F}(V14,V0,V7), sum-{F}(V13,V14,V15), product-{F}(V15,V0,V0), sum-{F}(V13,V12,V16), product-{F}(V16,V0,V17), sum-{F}(V7,V18,V18), sum-{F}(V19,V19,V7), product-{F}(V20,V1,V19), sum-{F}(V20,V0,V21), product-{F}(V21,V1,V22), sum-{F}(V22,V22,V23), product-{F}(V23,V15,V7), product-{F}(V23,V15,V24), sum-{F}(V25,V17,V9), sum-{F}(V10,V26,V27), sum-{F}(V18,V28,V27), sum-{F}(V29,V28,V25), sum-{F}(V30,V2,V29), sum-{F}(V31,V26,V32), sum-{F}(V33,V31,V22), sum-{F}(V19,V33,V34), sum-{F}(V34,V32,V18), sum-{F}(V35,V36,V24), product-{F}(V35,V1,V37), sum-{F}(V26,V37,V38), sum-{F}(V4,V38,V39), product-{F}(V36,V1,V40), sum-{F}(V31,V40,V41), sum-{F}(V34,V41,V42), sum-{F}(V39,V42,V6), sum-{F}(V42,V3,V43), sum-{F}(V38,V43,V30) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4161: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V15, V4 == V6, V6 == V16; #4151 ), references = 2, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), sum-{F}(V7,V7,V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V10,V9,V2), sum-{F}(V3,V10,V5), sum-{F}(V7,V7,V11), sum-{F}(V4,V1,V12), sum-{F}(V12,V0,V6), sum-{F}(V3,V0,V13), sum-{F}(V13,V1,V14), sum-{F}(V14,V2,V15), sum-{F}(V15,V7,V16), sum-{F}(V16,V11,V9) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4169: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V15, V4 == V6, V6 == V16; #4152 ), references = 2, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), sum-{F}(V7,V7,V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V10,V9,V2), sum-{F}(V3,V10,V5), sum-{F}(V7,V7,V11), sum-{F}(V4,V1,V12), sum-{F}(V12,V0,V6), sum-{F}(V3,V0,V13), sum-{F}(V13,V1,V14), sum-{F}(V14,V2,V15), sum-{F}(V15,V7,V16), sum-{F}(V16,V11,V9) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4177: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V15, V4 == V6, V6 == V16; #4153 ), references = 2, size of lhs = 24:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_additive_identity-{F}(V7), sum-{F}(V7,V7,V7), P_multiplicative_identity-{F}(V8), P_d-{F}(V9), sum-{F}(V10,V9,V2), sum-{F}(V3,V10,V5), sum-{F}(V7,V7,V11), sum-{F}(V4,V1,V12), sum-{F}(V12,V0,V6), sum-{F}(V3,V0,V13), sum-{F}(V13,V1,V14), sum-{F}(V14,V2,V15), sum-{F}(V15,V7,V16), sum-{F}(V16,V11,V9) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4197: mergings( V2 == V3, V3 == V5, V5 == V11, V4 == V12; #4190 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_c-{F}(V3), sum-{F}(V2,V0,V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V6,V0,V5), sum-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7), P_d-{F}(V8), sum-{F}(V9,V8,V1), sum-{F}(V2,V9,V4), sum-{F}(V6,V6,V10), sum-{F}(V6,V1,V11), sum-{F}(V11,V6,V12), sum-{F}(V12,V10,V8) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4202: mergings( V2 == V3, V3 == V5, V5 == V11, V4 == V12; #4191 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_c-{F}(V3), sum-{F}(V2,V0,V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V6,V0,V5), sum-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7), P_d-{F}(V8), sum-{F}(V9,V8,V1), sum-{F}(V2,V9,V4), sum-{F}(V6,V6,V10), sum-{F}(V6,V1,V11), sum-{F}(V11,V6,V12), sum-{F}(V12,V10,V8) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4207: mergings( V2 == V3, V3 == V5, V5 == V11, V4 == V12; #4192 ), references = 1, size of lhs = 21:
% 42.39/42.56     defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_c-{F}(V3), sum-{F}(V2,V0,V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V6,V0,V5), sum-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7), P_d-{F}(V8), sum-{F}(V9,V8,V1), sum-{F}(V2,V9,V4), sum-{F}(V6,V6,V10), sum-{F}(V6,V1,V11), sum-{F}(V11,V6,V12), sum-{F}(V12,V10,V8) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4240: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V18, V2 == V7, V7 == V13, V13 == V19, V3 == V8, V8 == V17, V4 == V9, V9 == V16, V5 == V15; #4223 ), references = 1, size of lhs = 11:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V2,V2), sum-{F}(V3,V3,V3), sum-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4255: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V18, V2 == V7, V7 == V13, V13 == V19, V3 == V8, V8 == V17, V4 == V9, V9 == V16, V5 == V15; #4224 ), references = 1, size of lhs = 11:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V2,V2), sum-{F}(V3,V3,V3), sum-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4270: mergings( V1 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V18, V2 == V7, V7 == V13, V13 == V19, V3 == V8, V8 == V17, V4 == V9, V9 == V16, V5 == V15; #4225 ), references = 1, size of lhs = 11:
% 42.39/42.56     defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V2,V2), sum-{F}(V3,V3,V3), sum-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V4) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4294: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V20, V2 == V6, V6 == V10, V10 == V16, V16 == V21, V3 == V7, V7 == V11, V11 == V19, V4 == V8, V8 == V12, V12 == V18; #4274 ), references = 1, size of lhs = 9:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V1,V1), sum-{F}(V2,V2,V2), sum-{F}(V0,V2,V0), P_multiplicative_identity-{F}(V3) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4312: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V20, V2 == V6, V6 == V10, V10 == V16, V16 == V21, V3 == V7, V7 == V11, V11 == V19, V4 == V8, V8 == V12, V12 == V18; #4275 ), references = 1, size of lhs = 9:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V1,V1), sum-{F}(V2,V2,V2), sum-{F}(V0,V2,V0), P_multiplicative_identity-{F}(V3) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4330: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V20, V2 == V6, V6 == V10, V10 == V16, V16 == V21, V3 == V7, V7 == V11, V11 == V19, V4 == V8, V8 == V12, V12 == V18; #4276 ), references = 1, size of lhs = 9:
% 42.39/42.56     defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V1,V1), sum-{F}(V2,V2,V2), sum-{F}(V0,V2,V0), P_multiplicative_identity-{F}(V3) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4361: mergings( V1 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V20, V2 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V21, V3 == V7, V7 == V10, V10 == V13, V13 == V19; #4340 ), references = 2, size of lhs = 6:
% 42.39/42.56     defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V0,V0), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4403: mergings( V1 == V3, V2 == V4; #4400 ), references = 1, size of lhs = 3:
% 42.39/42.56     P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4408: mergings( V1 == V2; #4406 ), references = 1, size of lhs = 1:
% 42.39/42.56     P_additive_identity-{F}(V0) | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  #4410: exists( #33, #4406 ), references = 1, size of lhs = 0:
% 42.39/42.56     FALSE | FALSE
% 42.39/42.56        (used 0 times, uses = {})
% 42.39/42.56  
% 42.39/42.56  number of learnt formulas = 110
% 42.39/42.56  
% 42.39/42.56  
% 42.39/42.56  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.39/42.56  
% 42.39/42.56  randbase = 1
%------------------------------------------------------------------------------