TSTP Solution File: FLD059-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD059-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:01:13 EDT 2022
% Result : Unsatisfiable 25.50s 25.67s
% Output : Refutation 25.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD059-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 10:04:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 25.50/25.67 GeoParameters:
% 25.50/25.67
% 25.50/25.67 tptp_input = 1
% 25.50/25.67 tptp_output = 0
% 25.50/25.67 nonempty = 1
% 25.50/25.67 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.50/25.67 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 25.50/25.67
% 25.50/25.67
% 25.50/25.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.50/25.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.50/25.67
% 25.50/25.67 RuleSystem INPUT:
% 25.50/25.67
% 25.50/25.67 Initial Rules:
% 25.50/25.67 #0: input, references = 11, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1: input, references = 37, size of lhs = 3:
% 25.50/25.67 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2: input, references = 32, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3: input, references = 25, size of lhs = 5:
% 25.50/25.67 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4: input, references = 3, size of lhs = 8:
% 25.50/25.67 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #5: input, references = 33, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #6: input, references = 3, size of lhs = 5:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #7: input, references = 29, size of lhs = 6:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #8: input, references = 14, size of lhs = 10:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #9: input, references = 6, size of lhs = 5:
% 25.50/25.67 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)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #10: input, references = 3, size of lhs = 2:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #11: input, references = 3, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #12: input, references = 4, size of lhs = 5:
% 25.50/25.67 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)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #13: input, references = 3, size of lhs = 2:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #14: input, references = 3, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #15: input, references = 23, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #16: input, references = 47, size of lhs = 4:
% 25.50/25.67 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)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #17: input, references = 23, size of lhs = 4:
% 25.50/25.67 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)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #18: input, references = 50, size of lhs = 6:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #19: input, references = 19, size of lhs = 5:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #20: input, references = 3, size of lhs = 3:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #21: input, references = 142, size of lhs = 3:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #22: input, references = 96, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #23: input, references = 6, size of lhs = 6:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #24: input, references = 16, size of lhs = 6:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #25: input, references = 116, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #26: input, references = 16, size of lhs = 3:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #27: input, references = 4, size of lhs = 3:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #28: input, references = 6, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_u-{F}(V3) | defined-{T}(V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #29: input, references = 6, size of lhs = 4:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_u-{F}(V3) | less_or_equal-{T}(V0,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #30: input, references = 19, size of lhs = 5:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_u-{F}(V3), P_add-{F}(V2,V2,V4) | equalish-{T}(V4,V3)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #31: input, references = 7, size of lhs = 6:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_u-{F}(V3), P_add-{F}(V2,V2,V4), less_or_equal-{F}(V0,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #32: input, references = 65, size of lhs = 2:
% 25.50/25.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #33: input, references = 4, size of lhs = 0:
% 25.50/25.67 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #34: input, references = 3, size of lhs = 1:
% 25.50/25.67 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #35: input, references = 27, size of lhs = 2:
% 25.50/25.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #36: input, references = 4, size of lhs = 0:
% 25.50/25.67 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #37: input, references = 3, size of lhs = 1:
% 25.50/25.67 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #38: input, references = 4, size of lhs = 0:
% 25.50/25.67 FALSE | EXISTS V0: P_a-{T}(V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #39: input, references = 6, size of lhs = 0:
% 25.50/25.67 FALSE | EXISTS V0: P_u-{T}(V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 number of initial rules = 40
% 25.50/25.67
% 25.50/25.67 Simplifiers:
% 25.50/25.67 #40: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #41: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #42: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #43: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #44: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #45: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #46: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #47: unsound, references = 3, size of lhs = 3:
% 25.50/25.67 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 number of simplifiers = 8
% 25.50/25.67
% 25.50/25.67 Learnt:
% 25.50/25.67 #60: exists( #32, #31 ), references = 8, size of lhs = 5:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_u-{F}(V3), less_or_equal-{F}(V0,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #72: mergings( V0 == V3, V1 == V4; #69 ), references = 2, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #95: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #87 ), references = 1, size of lhs = 5:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #121: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12; #110 ), references = 1, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V0), P_additive_identity-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #145: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #133 ), references = 7, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #175: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19; #159 ), references = 3, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V2,V4), P_add-{F}(V5,V1,V4), less_or_equal-{F}(V5,V0), equalish-{F}(V4,V6), P_add-{F}(V6,V3,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #198: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18; #187 ), references = 1, size of lhs = 16:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_u-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), P_add-{F}(V5,V0,V4), less_or_equal-{F}(V5,V0), less_or_equal-{F}(V1,V6), P_additive_identity-{F}(V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), P_add-{F}(V8,V3,V6), less_or_equal-{F}(V8,V2), equalish-{F}(V6,V9), P_add-{F}(V9,V7,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #210: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V1, V1 == V7, V7 == V9, V9 == V11, V11 == V13; #199 ), references = 1, size of lhs = 11:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V1,V3), P_additive_identity-{F}(V3), equalish-{F}(V3,V2), P_add-{F}(V4,V2,V3), less_or_equal-{F}(V4,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #263: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #248 ), references = 2, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), less_or_equal-{F}(V3,V0), equalish-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #295: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V0, V0 == V6, V6 == V8; #288 ), references = 1, size of lhs = 8:
% 25.50/25.67 P_a-{F}(V0), P_additive_inverse-{F}(V0,V0), defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V1), less_or_equal-{F}(V1,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #330: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #320 ), references = 4, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #343: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V0, V0 == V6, V6 == V8; #336 ), references = 1, size of lhs = 7:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #360: mergings( V1 == V5, V5 == V8, V8 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V3 == V7, V7 == V14; #347 ), references = 1, size of lhs = 5:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #384: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #374 ), references = 7, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V0,V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V0,V2), equalish-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #405: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V9, V3 == V5, V5 == V8, V8 == V10, V10 == V11; #396 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V0), P_u-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V1,V1,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #435: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #424 ), references = 7, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V3,V2), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V5,V1,V4), equalish-{F}(V5,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #452: mergings( V2 == V4, V4 == V0, V0 == V7, V7 == V9, V3 == V5, V5 == V8, V8 == V10, V10 == V12; #443 ), references = 1, size of lhs = 8:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V0), P_u-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V0,V1), P_multiplicative_identity-{F}(V3), P_multiply-{F}(V1,V2,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #488: mergings( V7 == V9, V9 == V11, V6 == V8, V8 == V10; #481 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #493: mergings( V7 == V9, V9 == V13, V8 == V10, V10 == V14; #482 ), references = 2, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V5), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_multiply-{F}(V10,V7,V9), equalish-{F}(V10,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #531: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #523 ), references = 1, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #537: mergings( V3 == V5, V5 == V7, V7 == V11, V6 == V8, V8 == V12; #524 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V7,V4,V6), equalish-{F}(V7,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #544: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V17, V7 == V9, V9 == V18; #525 ), references = 1, size of lhs = 17:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), P_add-{F}(V7,V3,V8), defined-{F}(V9), P_multiply-{F}(V9,V2,V8), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), P_multiply-{F}(V10,V9,V11) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #576: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V7 == V9, V9 == V11, V11 == V12; #566 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V3), less_or_equal-{F}(V4,V4), less_or_equal-{F}(V4,V5), P_add-{F}(V5,V3,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #585: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V7 == V9, V9 == V11, V11 == V15; #567 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V2), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V7,V4,V5), less_or_equal-{F}(V7,V3), equalish-{F}(V5,V8), P_add-{F}(V8,V6,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #596: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V1; #586 ), references = 2, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V2,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #605: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V1; #587 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), equalish-{F}(V1,V0), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V0,V1), less_or_equal-{F}(V3,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #631: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V10; #623 ), references = 15, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V3), equalish-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #638: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V10; #624 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V3), equalish-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_add-{F}(V5,V5,V6) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #674: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V22, V20 == V19; #654 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_a-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #712: mergings( V1 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V25, V3 == V23, V23 == V22; #687 ), references = 1, size of lhs = 4:
% 25.50/25.67 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #733: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V12, V5 == V7, V7 == V9, V9 == V13; #724 ), references = 2, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), equalish-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V0,V2,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #806: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21; #790 ), references = 4, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V2), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V7,V4,V6), equalish-{F}(V7,V3), equalish-{F}(V8,V0), P_multiply-{F}(V8,V1,V9), less_or_equal-{F}(V9,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #821: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21; #791 ), references = 2, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), defined-{F}(V5), P_multiply-{F}(V5,V4,V2), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V3,V5,V6), equalish-{F}(V7,V0), P_multiply-{F}(V7,V1,V8), less_or_equal-{F}(V8,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #845: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V13, V5 == V7, V7 == V9, V9 == V14; #835 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), less_or_equal-{F}(V1,V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V3), P_multiplicative_identity-{F}(V5), P_multiply-{F}(V0,V4,V5), P_multiply-{F}(V0,V2,V6), less_or_equal-{F}(V6,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #855: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V13, V1 == V12, V5 == V7, V7 == V9, V9 == V15; #836 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_additive_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), P_multiply-{F}(V4,V2,V3), P_multiplicative_identity-{F}(V5), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V0,V6), less_or_equal-{F}(V6,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #891: mergings( V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #879 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V4,V2), P_additive_identity-{F}(V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), equalish-{F}(V4,V6), P_add-{F}(V6,V5,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #942: mergings( V3 == V10, V10 == V12, V12 == V14, V4 == V9, V9 == V11, V11 == V13; #933 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #949: mergings( V3 == V9, V9 == V11, V11 == V13, V4 == V1, V1 == V10, V10 == V12; #934 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V4), P_additive_identity-{F}(V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #956: mergings( V3 == V10, V10 == V12, V12 == V16, V4 == V11, V11 == V13, V13 == V17; #935 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V6), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_multiply-{F}(V11,V8,V10), equalish-{F}(V11,V7) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1072: mergings( V3 == V7, V7 == V10, V4 == V8, V8 == V9, V9 == V12; #1064 ), references = 3, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_additive_identity-{F}(V4), P_multiply-{F}(V3,V3,V5), P_u-{F}(V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1078: mergings( V3 == V7, V7 == V15, V4 == V8, V8 == V9, V9 == V16; #1065 ), references = 3, size of lhs = 19:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V3,V3,V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V6), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_multiply-{F}(V11,V8,V10), equalish-{F}(V11,V7), equalish-{F}(V12,V4), P_multiply-{F}(V12,V5,V13), less_or_equal-{F}(V13,V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1088: mergings( V3 == V7, V7 == V9, V9 == V12, V12 == V15, V4 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V16; #1066 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), P_add-{F}(V3,V4,V5), P_multiply-{F}(V3,V3,V6), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_multiplicative_identity-{F}(V6), equalish-{F}(V5,V7), P_add-{F}(V7,V4,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1093: mergings( V0 == V6, V1 == V8; #1089 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V0,V1,V3), P_additive_identity-{F}(V4), P_multiply-{F}(V3,V3,V5), P_u-{F}(V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7) | less_or_equal-{T}(V0,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1096: mergings( V0 == V11, V1 == V12; #1090 ), references = 1, size of lhs = 19:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V0,V1,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V3,V3,V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V6), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_multiply-{F}(V11,V8,V10), equalish-{F}(V11,V7), equalish-{F}(V12,V4), P_multiply-{F}(V12,V5,V13), less_or_equal-{F}(V13,V9) | less_or_equal-{T}(V0,V2)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1107: mergings( V3 == V7, V7 == V15, V4 == V9, V9 == V17, V10 == V18, V8 == V16; #1099 ), references = 1, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V0,V4), P_multiply-{F}(V4,V4,V5), P_u-{F}(V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V6,V5), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1112: mergings( V3 == V7, V7 == V20, V4 == V9, V9 == V21; #1100 ), references = 1, size of lhs = 25:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_u-{F}(V2), P_a-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V0,V6), P_multiply-{F}(V6,V6,V2), P_add-{F}(V1,V4,V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V10), P_multiply-{F}(V7,V7,V10), defined-{F}(V11), defined-{F}(V12), P_multiply-{F}(V12,V11,V10), P_additive_identity-{F}(V13), P_multiplicative_identity-{F}(V14), P_multiply-{F}(V15,V12,V14), equalish-{F}(V15,V11), equalish-{F}(V16,V8), P_multiply-{F}(V16,V9,V17), less_or_equal-{F}(V17,V13) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1198: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V26, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V28; #1178 ), references = 1, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V5,V6), equalish-{F}(V2,V6), P_additive_identity-{F}(V7), P_u-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), equalish-{F}(V11,V0), P_multiply-{F}(V11,V1,V12), less_or_equal-{F}(V12,V13), P_add-{F}(V13,V3,V14), P_multiply-{F}(V14,V14,V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1221: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V34, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V35; #1179 ), references = 1, size of lhs = 26:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V4), defined-{F}(V5), equalish-{F}(V0,V5), defined-{F}(V6), P_multiply-{F}(V6,V0,V7), equalish-{F}(V7,V4), P_multiply-{F}(V6,V5,V8), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V9,V8), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), P_multiply-{F}(V13,V10,V12), equalish-{F}(V13,V9), equalish-{F}(V14,V0), P_multiply-{F}(V14,V6,V15), less_or_equal-{F}(V15,V16), less_or_equal-{F}(V16,V11), less_or_equal-{F}(V15,V17), P_add-{F}(V17,V1,V18), P_multiply-{F}(V18,V18,V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1258: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V36, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V38; #1230 ), references = 1, size of lhs = 22:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), less_or_equal-{F}(V5,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V0), equalish-{F}(V7,V6), less_or_equal-{F}(V7,V8), equalish-{F}(V8,V9), P_multiply-{F}(V9,V0,V3), P_u-{F}(V10), P_multiplicative_identity-{F}(V11), P_a-{F}(V12), equalish-{F}(V13,V1), P_multiply-{F}(V13,V2,V14), less_or_equal-{F}(V14,V15), P_add-{F}(V15,V4,V16), P_multiply-{F}(V16,V16,V10) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1289: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V44, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V45; #1231 ), references = 2, size of lhs = 30:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), less_or_equal-{F}(V3,V4), defined-{F}(V5), equalish-{F}(V1,V5), defined-{F}(V6), P_multiply-{F}(V6,V1,V7), P_multiply-{F}(V6,V5,V8), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V9,V8), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V0), equalish-{F}(V11,V4), less_or_equal-{F}(V11,V12), equalish-{F}(V12,V13), P_multiply-{F}(V13,V0,V7), P_multiplicative_identity-{F}(V14), P_multiply-{F}(V15,V10,V14), equalish-{F}(V15,V9), equalish-{F}(V16,V1), P_multiply-{F}(V16,V6,V17), less_or_equal-{F}(V17,V18), less_or_equal-{F}(V18,V11), less_or_equal-{F}(V17,V19), P_add-{F}(V19,V2,V20), P_multiply-{F}(V20,V20,V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1318: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V33, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V35; #1290 ), references = 2, size of lhs = 19:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), less_or_equal-{F}(V3,V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V0), equalish-{F}(V5,V4), less_or_equal-{F}(V5,V6), equalish-{F}(V6,V1), P_u-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), equalish-{F}(V10,V0), P_multiply-{F}(V10,V1,V11), less_or_equal-{F}(V11,V12), P_add-{F}(V12,V2,V13), P_multiply-{F}(V13,V13,V7) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1349: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V41, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V42; #1291 ), references = 3, size of lhs = 27:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), equalish-{F}(V0,V5), P_multiply-{F}(V4,V5,V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V6), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V0), equalish-{F}(V9,V3), less_or_equal-{F}(V9,V10), equalish-{F}(V10,V4), P_multiplicative_identity-{F}(V11), P_multiply-{F}(V12,V8,V11), equalish-{F}(V12,V7), equalish-{F}(V13,V0), P_multiply-{F}(V13,V4,V14), less_or_equal-{F}(V14,V15), less_or_equal-{F}(V15,V9), less_or_equal-{F}(V14,V16), P_add-{F}(V16,V1,V17), P_multiply-{F}(V17,V17,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1417: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V1 == V23, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V25, V22 == V26, V19 == V24; #1394 ), references = 1, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V2,V0), less_or_equal-{F}(V2,V1), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V2,V2,V5), P_multiply-{F}(V5,V5,V0), P_add-{F}(V6,V2,V2), less_or_equal-{F}(V6,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1438: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V1 == V23, V19 == V24, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V27; #1395 ), references = 1, size of lhs = 20:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_a-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V1), P_additive_inverse-{F}(V1,V3), P_multiply-{F}(V3,V3,V0), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V0), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V7,V5,V6), equalish-{F}(V7,V4), P_add-{F}(V3,V3,V8), P_multiply-{F}(V8,V8,V0), P_add-{F}(V9,V3,V3), less_or_equal-{F}(V9,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1472: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #1460 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1505: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #1493 ), references = 4, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1519: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #1492 ), references = 4, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1536: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V1; #1530 ), references = 1, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1541: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V1; #1531 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1550: mergings( V3 == V5, V5 == V7, V1 == V4, V4 == V6; #1544 ), references = 2, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V3,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1555: mergings( V3 == V5, V5 == V7, V1 == V4, V4 == V6; #1545 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), equalish-{F}(V2,V2), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V3,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1564: mergings( V0 == V2, V2 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #1556 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), less_or_equal-{F}(V3,V0), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1571: mergings( V0 == V2, V2 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #1557 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), less_or_equal-{F}(V3,V0), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1609: mergings( V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V9; #1602 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V3,V4), less_or_equal-{F}(V5,V4), P_add-{F}(V5,V3,V6), less_or_equal-{F}(V2,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1615: mergings( V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V9; #1603 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V3,V4), equalish-{F}(V4,V4), less_or_equal-{F}(V5,V4), P_add-{F}(V5,V3,V6), less_or_equal-{F}(V2,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1627: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V1; #1618 ), references = 8, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V0,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1635: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V1; #1619 ), references = 7, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), equalish-{F}(V2,V2), less_or_equal-{F}(V0,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1647: mergings( V0 == V3, V3 == V5, V5 == V2, V2 == V6, V6 == V8, V1 == V4, V4 == V7, V7 == V9, V9 == V10; #1636 ), references = 4, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0) | less_or_equal-{T}(V0,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1704: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V0 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V17; #1690 ), references = 1, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V1,V2), P_a-{F}(V3), defined-{F}(V4), P_multiply-{F}(V0,V4,V1), P_additive_inverse-{F}(V4,V1), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V0), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V1,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1717: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V0 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V17; #1691 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V1,V2), P_a-{F}(V3), defined-{F}(V4), P_multiply-{F}(V0,V4,V1), P_additive_inverse-{F}(V4,V1), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V0), less_or_equal-{F}(V4,V5), equalish-{F}(V5,V5), less_or_equal-{F}(V1,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1791: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #1777 ), references = 5, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V1,V3), P_add-{F}(V3,V0,V4), less_or_equal-{F}(V4,V1), equalish-{F}(V4,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1801: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #1778 ), references = 4, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_u-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), less_or_equal-{F}(V1,V5), P_add-{F}(V5,V0,V6), less_or_equal-{F}(V6,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1811: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #1779 ), references = 2, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_u-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), less_or_equal-{F}(V1,V6), P_add-{F}(V6,V0,V7), less_or_equal-{F}(V7,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1841: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #1821 ), references = 1, size of lhs = 7:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_u-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V1,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1896: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V18, V10 == V19; #1881 ), references = 6, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1), P_multiplicative_identity-{F}(V4), P_a-{F}(V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1918: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V26, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V27, V14 == V28; #1882 ), references = 3, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V0,V0,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V4), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1961: mergings( V0 == V3, V3 == V5, V5 == V10, V10 == V13, V4 == V6, V6 == V8, V8 == V11, V11 == V15, V9 == V16, V7 == V1; #1949 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_additive_identity-{F}(V2), P_add-{F}(V1,V0,V2), P_add-{F}(V3,V1,V2), less_or_equal-{F}(V3,V2), P_multiplicative_identity-{F}(V4), P_a-{F}(V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #1972: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V17, V4 == V6, V6 == V9, V9 == V12, V12 == V18, V10 == V19; #1950 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V0,V3), P_add-{F}(V2,V2,V3), P_add-{F}(V0,V1,V3), P_add-{F}(V4,V2,V3), less_or_equal-{F}(V4,V5), P_additive_identity-{F}(V5), P_add-{F}(V2,V1,V5), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), P_a-{F}(V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2010: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1996 ), references = 5, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), less_or_equal-{F}(V4,V1), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2025: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #2012 ), references = 2, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_u-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V0,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2032: mergings( V3 == V4, V4 == V5, V6 == V7; #2028 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V0,V1), P_u-{F}(V2), less_or_equal-{F}(V2,V1), P_multiplicative_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2048: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V6 == V8, V8 == V9; #2041 ), references = 1, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V0), P_multiplicative_identity-{F}(V2), P_add-{F}(V1,V1,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2080: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #2068 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2090: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #2069 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), equalish-{F}(V1,V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2100: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #2070 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2116: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V15; #2106 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V0,V3), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V1,V4), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V3), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2137: exists( #32, #2133 ), references = 2, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2224: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23; #2205 ), references = 4, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V0,V2), equalish-{F}(V3,V4), equalish-{F}(V0,V4), P_multiplicative_identity-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2239: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #2232 ), references = 1, size of lhs = 9:
% 25.50/25.67 P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V3), P_add-{F}(V2,V2,V3), P_multiply-{F}(V1,V1,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2285: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19; #2269 ), references = 2, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V0,V1), equalish-{F}(V2,V3), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V0,V4), less_or_equal-{F}(V4,V1), P_additive_identity-{F}(V4), less_or_equal-{F}(V3,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2300: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19; #2270 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V0,V1), equalish-{F}(V2,V3), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V0,V4), less_or_equal-{F}(V4,V1), P_additive_identity-{F}(V4), equalish-{F}(V4,V4), less_or_equal-{F}(V3,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2447: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25; #2424 ), references = 5, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_multiply-{F}(V3,V0,V2), equalish-{F}(V3,V4), equalish-{F}(V0,V4), P_multiplicative_identity-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2468: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V26; #2425 ), references = 3, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V1,V2), less_or_equal-{F}(V0,V2), less_or_equal-{F}(V2,V3), P_multiply-{F}(V4,V0,V3), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V0,V1,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2491: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V28; #2426 ), references = 4, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V0,V2), less_or_equal-{F}(V2,V3), P_multiply-{F}(V4,V0,V3), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V7,V1,V0), less_or_equal-{F}(V7,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2514: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #2506 ), references = 1, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V0,V3), P_multiply-{F}(V2,V2,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2521: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V4 == V6, V6 == V8; #2507 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V0), defined-{F}(V4), P_add-{F}(V3,V4,V2), equalish-{F}(V4,V0), less_or_equal-{F}(V0,V5), P_multiply-{F}(V1,V3,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2549: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #2540 ), references = 1, size of lhs = 6:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V0,V1), P_add-{F}(V2,V2,V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2606: mergings( V3 == V1, V1 == V4, V4 == V11, V11 == V13, V0 == V5, V5 == V12, V12 == V14, V14 == V16; #2595 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V5,V2,V6), P_u-{F}(V7), less_or_equal-{F}(V6,V7), P_a-{F}(V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2615: mergings( V3 == V1, V1 == V4, V4 == V11, V11 == V13, V0 == V5, V5 == V12, V12 == V14, V14 == V16; #2596 ), references = 1, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V5,V2,V6), defined-{F}(V7), less_or_equal-{F}(V6,V7), P_add-{F}(V7,V7,V8), less_or_equal-{F}(V8,V0), equalish-{F}(V8,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2624: mergings( V3 == V1, V1 == V4, V4 == V11, V11 == V13, V0 == V5, V5 == V12, V12 == V14, V14 == V17; #2597 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V5,V2,V6), defined-{F}(V7), less_or_equal-{F}(V6,V7), P_u-{F}(V8), P_a-{F}(V9), P_add-{F}(V7,V7,V10), less_or_equal-{F}(V10,V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2633: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V7; #2627 ), references = 7, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V2), equalish-{F}(V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2638: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V7; #2628 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V2), equalish-{F}(V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2648: mergings( V0 == V2, V1 == V4; #2643 ), references = 1, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V3,V1), P_add-{F}(V3,V2,V4), equalish-{F}(V4,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2651: mergings( V0 == V2, V1 == V4; #2644 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V3,V1), P_add-{F}(V3,V2,V4), equalish-{F}(V4,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2690: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V8, V8 == V10, V10 == V12, V12 == V14; #2678 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V4,V2), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V2,V5), less_or_equal-{F}(V5,V6), P_multiply-{F}(V2,V2,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2700: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V17, V4 == V8, V8 == V10, V10 == V12, V12 == V14; #2679 ), references = 1, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V4,V2), P_multiplicative_identity-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_u-{F}(V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V6,V7), less_or_equal-{F}(V5,V7), less_or_equal-{F}(V7,V8), P_multiply-{F}(V2,V5,V8), P_a-{F}(V9), P_add-{F}(V10,V6,V5), less_or_equal-{F}(V10,V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2710: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V8, V8 == V10, V10 == V12, V12 == V14; #2680 ), references = 1, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V4,V2), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V2,V5), less_or_equal-{F}(V5,V6), P_add-{F}(V5,V5,V6), P_multiply-{F}(V2,V2,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2755: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #2742 ), references = 2, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), less_or_equal-{F}(V3,V4), P_multiply-{F}(V1,V1,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2766: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #2743 ), references = 2, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), defined-{F}(V3), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), less_or_equal-{F}(V3,V4), P_add-{F}(V3,V3,V4), P_multiply-{F}(V1,V1,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2777: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V17; #2744 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), defined-{F}(V3), defined-{F}(V4), P_u-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V6), P_multiply-{F}(V1,V3,V6), P_a-{F}(V7), P_add-{F}(V8,V4,V3), less_or_equal-{F}(V8,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2840: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V24, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V25, V20 == V26; #2818 ), references = 3, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V3), defined-{F}(V4), less_or_equal-{F}(V1,V4), P_add-{F}(V4,V4,V3), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V3), P_a-{F}(V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2853: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #2819 ), references = 4, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V1,V0), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V4), equalish-{F}(V4,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2878: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V31; #2820 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), equalish-{F}(V0,V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V1), defined-{F}(V1), P_add-{F}(V1,V1,V0), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V3), P_a-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V3), less_or_equal-{F}(V1,V5), less_or_equal-{F}(V5,V6), equalish-{F}(V6,V5), equalish-{F}(V2,V6) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2916: mergings( V3 == V7, V7 == V10, V10 == V12, V4 == V11, V11 == V13, V13 == V14; #2907 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_add-{F}(V5,V5,V7) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2930: mergings( V0 == V3, V1 == V7; #2926 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_add-{F}(V1,V3,V2), P_multiply-{F}(V4,V2,V0), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2933: mergings( V0 == V3, V1 == V8; #2927 ), references = 1, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), less_or_equal-{F}(V2,V5), P_add-{F}(V5,V3,V6), less_or_equal-{F}(V6,V4), P_multiplicative_identity-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V1), P_multiply-{F}(V4,V7,V0), defined-{F}(V8), P_u-{F}(V8), less_or_equal-{F}(V8,V1), P_add-{F}(V1,V8,V7), P_a-{F}(V9) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2965: mergings( V0 == V2, V2 == V4, V4 == V6, V1 == V5, V5 == V7, V7 == V10; #2956 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V1,V3), P_add-{F}(V1,V2,V3), P_add-{F}(V0,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #2972: mergings( V0 == V2, V2 == V4, V4 == V6, V1 == V5, V5 == V7, V7 == V10; #2957 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V1,V3), P_add-{F}(V1,V2,V3), P_add-{F}(V0,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3080: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V0 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #3059 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V1), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3098: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V0 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21; #3060 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V0), P_u-{F}(V2), defined-{F}(V3), P_multiply-{F}(V2,V3,V0), P_additive_inverse-{F}(V3,V0), less_or_equal-{F}(V3,V1), P_multiplicative_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3116: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V0 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21; #3061 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), P_multiply-{F}(V2,V3,V0), P_additive_inverse-{F}(V3,V0), less_or_equal-{F}(V3,V1), P_multiplicative_identity-{F}(V3), P_add-{F}(V2,V2,V4), less_or_equal-{F}(V4,V1), equalish-{F}(V4,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3208: mergings( V2 == V5, V5 == V12, V12 == V14, V14 == V16, V16 == V19, V3 == V6, V6 == V13, V13 == V15, V15 == V17, V17 == V20, V0 == V21, V4 == V18; #3194 ), references = 2, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_a-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V2), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V0,V5), defined-{F}(V6), P_u-{F}(V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V6,V7), P_multiplicative_identity-{F}(V8), P_add-{F}(V5,V6,V9), equalish-{F}(V9,V7) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3221: mergings( V2 == V5, V5 == V12, V12 == V14, V14 == V16, V16 == V19, V3 == V6, V6 == V13, V13 == V15, V15 == V17, V17 == V21, V0 == V22, V4 == V18; #3195 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_a-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V2), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V0,V5), defined-{F}(V6), P_u-{F}(V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V6,V7), less_or_equal-{F}(V7,V8), P_add-{F}(V5,V6,V8), P_multiplicative_identity-{F}(V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3234: mergings( V3 == V5, V5 == V7, V7 == V14, V6 == V8, V8 == V15; #3228 ), references = 3, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), P_a-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V3), P_add-{F}(V4,V2,V5), P_multiply-{F}(V5,V1,V0), defined-{F}(V6), P_u-{F}(V6), P_add-{F}(V6,V0,V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V6,V8), equalish-{F}(V7,V8), P_multiplicative_identity-{F}(V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3237: exists( #32, #3235 ), references = 1, size of lhs = 15:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), P_a-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V3), P_add-{F}(V4,V2,V5), P_multiply-{F}(V5,V1,V0), defined-{F}(V6), P_additive_inverse-{F}(V6,V0), P_u-{F}(V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V6,V7), P_multiplicative_identity-{F}(V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3349: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V17, V17 == V20, V20 == V22, V22 == V24, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V23; #3331 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_u-{F}(V5), defined-{F}(V5), less_or_equal-{F}(V4,V5), equalish-{F}(V2,V6), P_a-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V5,V8), less_or_equal-{F}(V8,V9), P_multiply-{F}(V5,V5,V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3367: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V17, V17 == V20, V20 == V22, V22 == V26, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V23, V19 == V28, V15 == V25; #3332 ), references = 1, size of lhs = 20:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V5), defined-{F}(V5), P_u-{F}(V5), equalish-{F}(V2,V6), defined-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V5,V8), less_or_equal-{F}(V7,V8), less_or_equal-{F}(V8,V9), P_multiply-{F}(V5,V7,V9), P_a-{F}(V10), P_add-{F}(V11,V5,V7), less_or_equal-{F}(V11,V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3383: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V17, V17 == V20, V20 == V22, V22 == V26, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V23; #3333 ), references = 1, size of lhs = 21:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V4,V5), equalish-{F}(V2,V6), P_a-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V5,V8,V9), P_additive_inverse-{F}(V4,V9), less_or_equal-{F}(V8,V10), less_or_equal-{F}(V10,V6), less_or_equal-{F}(V10,V9), P_additive_identity-{F}(V10), less_or_equal-{F}(V4,V10) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3409: mergings( V0 == V3, V1 == V7; #3405 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_add-{F}(V1,V3,V2), P_multiply-{F}(V4,V2,V0), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3412: mergings( V0 == V3, V1 == V8; #3406 ), references = 1, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), less_or_equal-{F}(V2,V5), P_add-{F}(V5,V3,V6), less_or_equal-{F}(V6,V4), P_multiplicative_identity-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V1), P_multiply-{F}(V4,V7,V0), defined-{F}(V8), P_u-{F}(V8), less_or_equal-{F}(V8,V1), P_add-{F}(V1,V8,V7), P_a-{F}(V9) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3483: mergings( V0 == V3, V1 == V4, V4 == V6; #3477 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V0,V2), P_u-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3487: mergings( V0 == V2, V1 == V3, V3 == V6; #3478 ), references = 1, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_multiply-{F}(V0,V0,V2), P_add-{F}(V0,V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4) | less_or_equal-{T}(V0,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3491: mergings( V0 == V3, V1 == V4, V4 == V6; #3479 ), references = 4, size of lhs = 9:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V0,V0,V2), P_multiplicative_identity-{F}(V3), P_add-{F}(V2,V2,V4), less_or_equal-{F}(V4,V1), equalish-{F}(V4,V3) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3563: mergings( V6 == V8, V8 == V10, V10 == V12, V5 == V0, V0 == V7, V7 == V9, V9 == V11, V11 == V15; #3552 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V0,V2,V3), P_add-{F}(V1,V3,V2), defined-{F}(V4), P_additive_identity-{F}(V4), P_multiply-{F}(V4,V4,V2), less_or_equal-{F}(V2,V5), P_add-{F}(V5,V2,V6), less_or_equal-{F}(V6,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3574: mergings( V6 == V8, V8 == V10, V10 == V12, V12 == V13, V0 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V17; #3553 ), references = 1, size of lhs = 17:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_add-{F}(V0,V2,V3), P_add-{F}(V1,V3,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V4,V5), P_multiply-{F}(V5,V5,V2), less_or_equal-{F}(V2,V6), P_add-{F}(V6,V2,V7), less_or_equal-{F}(V7,V5), P_add-{F}(V8,V4,V2), less_or_equal-{F}(V8,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3585: mergings( V6 == V8, V8 == V10, V10 == V12, V12 == V13, V0 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V17; #3554 ), references = 1, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_add-{F}(V0,V2,V3), P_add-{F}(V1,V3,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), equalish-{F}(V5,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V4,V5), P_multiply-{F}(V5,V5,V2), less_or_equal-{F}(V2,V6), P_add-{F}(V6,V2,V7), less_or_equal-{F}(V7,V5), P_add-{F}(V8,V4,V2), less_or_equal-{F}(V8,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3606: mergings( V0 == V3, V1 == V7; #3601 ), references = 1, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_add-{F}(V1,V3,V2), P_multiply-{F}(V4,V2,V0), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3637: mergings( V0 == V10, V1 == V6; #3632 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), P_add-{F}(V0,V2,V4), P_multiplicative_identity-{F}(V4), P_u-{F}(V5), defined-{F}(V5), less_or_equal-{F}(V4,V5), equalish-{F}(V3,V6), P_a-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V5,V8), less_or_equal-{F}(V8,V9), P_multiply-{F}(V5,V5,V9) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3640: mergings( V0 == V10, V1 == V6; #3633 ), references = 1, size of lhs = 20:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), P_add-{F}(V0,V2,V4), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V5), defined-{F}(V5), P_u-{F}(V5), equalish-{F}(V3,V6), defined-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V5,V8), less_or_equal-{F}(V7,V8), less_or_equal-{F}(V8,V9), P_multiply-{F}(V5,V7,V9), P_a-{F}(V10), P_add-{F}(V11,V5,V7), less_or_equal-{F}(V11,V9) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3643: mergings( V0 == V12, V1 == V6; #3634 ), references = 1, size of lhs = 21:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), P_add-{F}(V0,V2,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V4,V5), equalish-{F}(V3,V6), P_a-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V5,V8,V9), P_additive_inverse-{F}(V4,V9), less_or_equal-{F}(V8,V10), less_or_equal-{F}(V10,V6), less_or_equal-{F}(V10,V9), P_additive_identity-{F}(V10), less_or_equal-{F}(V4,V10) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3665: mergings( V0 == V3, V1 == V4, V4 == V8; #3659 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_u-{F}(V2), P_multiply-{F}(V0,V0,V3), P_add-{F}(V4,V2,V3), less_or_equal-{F}(V4,V1), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3669: mergings( V0 == V3, V1 == V4, V4 == V8; #3660 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V1), P_multiply-{F}(V0,V0,V3), P_add-{F}(V2,V2,V3), P_add-{F}(V4,V2,V3), less_or_equal-{F}(V4,V1), P_multiplicative_identity-{F}(V5), P_a-{F}(V6) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3673: mergings( V0 == V3, V1 == V4, V4 == V10; #3661 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V0,V0,V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V4), P_multiplicative_identity-{F}(V7), P_multiply-{F}(V8,V6,V7), equalish-{F}(V8,V5), equalish-{F}(V9,V2), P_multiply-{F}(V9,V3,V10), less_or_equal-{F}(V10,V1) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3800: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31; #3772 ), references = 2, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), less_or_equal-{F}(V0,V1), defined-{F}(V2), equalish-{F}(V1,V2), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), P_multiply-{F}(V0,V4,V1), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3827: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31; #3773 ), references = 2, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), less_or_equal-{F}(V0,V1), defined-{F}(V2), equalish-{F}(V1,V2), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V3,V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), P_multiply-{F}(V0,V4,V1), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3864: mergings( V0 == V2, V1 == V3, V3 == V4; #3859 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_multiply-{F}(V1,V1,V3) | less_or_equal-{T}(V1,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3868: mergings( V0 == V2, V1 == V3, V3 == V4; #3860 ), references = 1, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_add-{F}(V1,V1,V3), P_multiply-{F}(V1,V1,V3) | less_or_equal-{T}(V1,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3880: mergings( V3 == V1, V1 == V4, V0 == V5, V5 == V7; #3875 ), references = 1, size of lhs = 8:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_add-{F}(V3,V3,V1), P_multiply-{F}(V3,V1,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3958: mergings( V3 == V4, V4 == V6, V6 == V1, V1 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V21, V21 == V23, V16 == V22, V8 == V15; #3937 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), equalish-{F}(V0,V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_multiply-{F}(V1,V3,V0), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3978: mergings( V3 == V4, V4 == V6, V6 == V1, V1 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V21, V21 == V23, V16 == V22, V8 == V15; #3938 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), equalish-{F}(V0,V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_multiply-{F}(V1,V3,V0), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #3987: mergings( V2 == V5, V5 == V18, V3 == V6, V6 == V20; #3982 ), references = 1, size of lhs = 33:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_u-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), less_or_equal-{F}(V5,V6), defined-{F}(V7), equalish-{F}(V3,V7), defined-{F}(V8), P_multiply-{F}(V8,V3,V9), P_multiply-{F}(V1,V2,V9), P_multiply-{F}(V8,V7,V10), defined-{F}(V11), defined-{F}(V12), P_multiply-{F}(V12,V11,V10), P_additive_identity-{F}(V13), less_or_equal-{F}(V13,V2), equalish-{F}(V13,V6), P_add-{F}(V14,V0,V13), less_or_equal-{F}(V14,V0), P_multiplicative_identity-{F}(V15), P_multiply-{F}(V16,V12,V15), equalish-{F}(V16,V11), equalish-{F}(V17,V3), P_multiply-{F}(V17,V8,V18), less_or_equal-{F}(V18,V19), less_or_equal-{F}(V19,V13), less_or_equal-{F}(V18,V20), P_add-{F}(V20,V4,V21), P_multiply-{F}(V21,V21,V10) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4018: mergings( V2 == V5, V5 == V7, V7 == V13, V13 == V14, V3 == V6, V6 == V8, V8 == V15, V15 == V16; #4007 ), references = 1, size of lhs = 16:
% 25.50/25.67 P_a-{F}(V0), P_u-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V0), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), P_additive_identity-{F}(V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), defined-{F}(V8), P_add-{F}(V8,V8,V7), P_multiply-{F}(V8,V7,V9), equalish-{F}(V9,V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4067: mergings( V2 == V5, V5 == V7, V7 == V12, V3 == V6, V6 == V8, V8 == V9; #4060 ), references = 1, size of lhs = 11:
% 25.50/25.67 P_a-{F}(V0), defined-{F}(V0), P_additive_inverse-{F}(V0,V0), P_u-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V3,V2), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V1), P_additive_identity-{F}(V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4139: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V0 == V17, V4 == V14; #4126 ), references = 3, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V0), P_multiply-{F}(V2,V1,V3), equalish-{F}(V3,V2), P_additive_identity-{F}(V4), less_or_equal-{F}(V5,V0), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4142: exists( #32, #4140 ), references = 2, size of lhs = 13:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V3), P_additive_identity-{F}(V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4163: mergings( V3 == V4, V4 == V7, V7 == V12, V0 == V5, V5 == V8, V8 == V11; #4156 ), references = 1, size of lhs = 12:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_multiply-{F}(V3,V2,V4), P_additive_identity-{F}(V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4170: mergings( V3 == V4, V4 == V6, V6 == V10, V5 == V7, V7 == V1; #4164 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_additive_identity-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4185: mergings( V0 == V3, V3 == V4, V4 == V5, V6 == V7; #4180 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4208: mergings( V0 == V2, V1 == V4; #4203 ), references = 1, size of lhs = 10:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V0), P_multiply-{F}(V3,V3,V1), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V2) | less_or_equal-{T}(V1,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4211: mergings( V0 == V2, V1 == V4; #4204 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V2), defined-{F}(V5), less_or_equal-{F}(V5,V0), P_multiply-{F}(V3,V5,V1), defined-{F}(V6), P_u-{F}(V6), less_or_equal-{F}(V6,V0), P_add-{F}(V0,V6,V5), P_a-{F}(V7) | less_or_equal-{T}(V1,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4233: mergings( V7 == V14, V8 == V15; #4229 ), references = 1, size of lhs = 20:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), P_a-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V3,V5), P_add-{F}(V6,V4,V7), P_multiply-{F}(V7,V3,V2), defined-{F}(V8), P_u-{F}(V8), P_add-{F}(V8,V1,V9), P_add-{F}(V9,V0,V10), equalish-{F}(V10,V11), P_additive_identity-{F}(V11), less_or_equal-{F}(V8,V11), P_multiplicative_identity-{F}(V12) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4240: mergings( V0 == V3, V1 == V7; #4237 ), references = 1, size of lhs = 14:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_multiply-{F}(V4,V2,V0), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V7,V3,V2), less_or_equal-{F}(V7,V0) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4286: mergings( V2 == V5, V5 == V12, V12 == V14, V14 == V19, V3 == V6, V6 == V13, V13 == V15, V15 == V16, V0 == V20, V4 == V17; #4275 ), references = 1, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_a-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V2), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V0,V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_u-{F}(V7), P_multiply-{F}(V7,V6,V7), defined-{F}(V8), less_or_equal-{F}(V7,V8), P_add-{F}(V8,V8,V5), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V5) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4330: mergings( V2 == V5, V5 == V12, V12 == V14, V14 == V16, V16 == V24, V3 == V6, V6 == V13, V13 == V15, V15 == V17, V17 == V25; #4319 ), references = 2, size of lhs = 32:
% 25.50/25.67 P_a-{F}(V0), P_u-{F}(V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V0), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), less_or_equal-{F}(V8,V9), P_multiply-{F}(V1,V1,V10), defined-{F}(V11), defined-{F}(V12), P_multiply-{F}(V12,V11,V10), P_additive_identity-{F}(V13), equalish-{F}(V13,V9), less_or_equal-{F}(V13,V6), P_multiplicative_identity-{F}(V14), P_multiply-{F}(V15,V12,V14), equalish-{F}(V15,V11), equalish-{F}(V16,V6), P_multiply-{F}(V16,V1,V17), less_or_equal-{F}(V17,V18), less_or_equal-{F}(V18,V13), less_or_equal-{F}(V17,V19), P_add-{F}(V19,V7,V20), P_multiply-{F}(V20,V20,V10) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4347: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V10, V10 == V17, V17 == V19, V19 == V21, V1 == V5, V5 == V7, V7 == V11, V11 == V18, V18 == V20, V20 == V22, V22 == V29; #4332 ), references = 1, size of lhs = 32:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), P_a-{F}(V2), P_u-{F}(V3), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V2), defined-{F}(V6), P_multiply-{F}(V6,V4,V2), P_add-{F}(V6,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), less_or_equal-{F}(V0,V8), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), less_or_equal-{F}(V10,V11), equalish-{F}(V0,V11), P_multiply-{F}(V3,V3,V12), defined-{F}(V13), defined-{F}(V14), P_multiply-{F}(V14,V13,V12), P_multiplicative_identity-{F}(V15), P_multiply-{F}(V16,V14,V15), equalish-{F}(V16,V13), equalish-{F}(V17,V8), P_multiply-{F}(V17,V3,V1), P_add-{F}(V0,V9,V18), P_multiply-{F}(V18,V18,V12) | less_or_equal-{T}(V0,V1)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4354: mergings( V0 == V2, V1 == V16; #4349 ), references = 1, size of lhs = 31:
% 25.50/25.67 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_u-{F}(V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V1), defined-{F}(V5), P_multiply-{F}(V5,V3,V1), P_add-{F}(V5,V4,V6), P_multiply-{F}(V6,V3,V7), defined-{F}(V7), less_or_equal-{F}(V0,V7), defined-{F}(V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), less_or_equal-{F}(V9,V10), equalish-{F}(V0,V10), P_multiply-{F}(V2,V2,V11), defined-{F}(V12), defined-{F}(V13), P_multiply-{F}(V13,V12,V11), P_multiplicative_identity-{F}(V14), P_multiply-{F}(V15,V13,V14), equalish-{F}(V15,V12), equalish-{F}(V16,V7), P_multiply-{F}(V16,V2,V0), less_or_equal-{F}(V0,V17), P_add-{F}(V17,V8,V18), P_multiply-{F}(V18,V18,V11) | less_or_equal-{T}(V0,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4385: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V34, V34 == V50, V12 == V21, V21 == V37, V9 == V22, V22 == V38, V31 == V47; #4363 ), references = 1, size of lhs = 61:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), P_a-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V3,V5), P_add-{F}(V6,V4,V7), P_multiply-{F}(V7,V3,V8), defined-{F}(V8), less_or_equal-{F}(V2,V8), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), less_or_equal-{F}(V10,V11), equalish-{F}(V2,V11), defined-{F}(V12), defined-{F}(V13), P_multiply-{F}(V13,V12,V14), equalish-{F}(V15,V12), P_multiply-{F}(V15,V13,V16), P_multiplicative_identity-{F}(V16), equalish-{F}(V17,V8), P_u-{F}(V18), P_multiply-{F}(V17,V18,V2), defined-{F}(V18), P_multiply-{F}(V18,V18,V14), defined-{F}(V19), defined-{F}(V20), P_multiply-{F}(V20,V19,V5), defined-{F}(V21), P_multiply-{F}(V21,V19,V5), P_add-{F}(V21,V20,V22), P_multiply-{F}(V22,V19,V23), defined-{F}(V23), less_or_equal-{F}(V2,V23), defined-{F}(V24), defined-{F}(V25), P_additive_inverse-{F}(V25,V24), less_or_equal-{F}(V25,V26), equalish-{F}(V2,V26), defined-{F}(V27), defined-{F}(V28), P_multiply-{F}(V28,V27,V14), P_multiply-{F}(V29,V28,V16), equalish-{F}(V29,V27), equalish-{F}(V30,V23), P_multiply-{F}(V30,V18,V2), P_add-{F}(V18,V1,V31), equalish-{F}(V31,V2), P_add-{F}(V0,V1,V32), P_add-{F}(V32,V9,V33), P_multiply-{F}(V33,V33,V14), P_add-{F}(V32,V24,V34), P_multiply-{F}(V34,V34,V14), less_or_equal-{F}(V35,V2), P_add-{F}(V35,V0,V36), equalish-{F}(V36,V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4423: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V6, V6 == V8, V8 == V11, V4 == V10; #4414 ), references = 2, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_u-{F}(V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4524: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #4507 ), references = 1, size of lhs = 11:
% 25.50/25.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), less_or_equal-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_add-{F}(V1,V3,V2), P_a-{F}(V4) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4532: mergings( V7 == V12, V8 == V9; #4529 ), references = 2, size of lhs = 18:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_u-{F}(V7), less_or_equal-{F}(V7,V2), P_multiply-{F}(V7,V6,V8), equalish-{F}(V8,V7), P_additive_identity-{F}(V9), equalish-{F}(V5,V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4559: mergings( V3 == V4, V4 == V7, V7 == V16, V0 == V5, V5 == V8, V8 == V15; #4552 ), references = 1, size of lhs = 17:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_u-{F}(V7), less_or_equal-{F}(V7,V2), P_multiply-{F}(V7,V6,V8), P_additive_identity-{F}(V9), equalish-{F}(V5,V9) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4566: mergings( V3 == V4, V4 == V6, V6 == V14, V5 == V7, V7 == V1; #4560 ), references = 1, size of lhs = 16:
% 25.50/25.67 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_u-{F}(V7), less_or_equal-{F}(V7,V2), P_additive_identity-{F}(V8), equalish-{F}(V5,V8) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4604: mergings( V0 == V4, V1 == V5; #4601 ), references = 1, size of lhs = 7:
% 25.50/25.67 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V1), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4616: mergings( V1 == V5, V5 == V9, V2 == V4, V4 == V6, V6 == V7, V7 == V10, V3 == V8; #4608 ), references = 1, size of lhs = 4:
% 25.50/25.67 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4627: mergings( V1 == V3, V3 == V6, V6 == V9, V2 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V10; #4618 ), references = 1, size of lhs = 2:
% 25.50/25.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4632: mergings( V1 == V2, V2 == V3, V3 == V4; #4628 ), references = 1, size of lhs = 1:
% 25.50/25.67 P_additive_identity-{F}(V0) | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 #4634: exists( #33, #4628 ), references = 1, size of lhs = 0:
% 25.50/25.67 FALSE | FALSE
% 25.50/25.67 (used 0 times, uses = {})
% 25.50/25.67
% 25.50/25.67 number of learnt formulas = 177
% 25.50/25.67
% 25.50/25.67
% 25.50/25.67 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.50/25.67
% 25.50/25.67 randbase = 1
%------------------------------------------------------------------------------