TSTP Solution File: FLD013-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD013-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:01:03 EDT 2022
% Result : Unsatisfiable 10.61s 10.77s
% Output : Refutation 10.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD013-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 10:09:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.61/10.77 GeoParameters:
% 10.61/10.77
% 10.61/10.77 tptp_input = 1
% 10.61/10.77 tptp_output = 0
% 10.61/10.77 nonempty = 1
% 10.61/10.77 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.61/10.77 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 10.61/10.77
% 10.61/10.77
% 10.61/10.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.61/10.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.61/10.77
% 10.61/10.77 RuleSystem INPUT:
% 10.61/10.77
% 10.61/10.77 Initial Rules:
% 10.61/10.77 #0: input, references = 9, size of lhs = 7:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1: input, references = 36, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2: input, references = 17, size of lhs = 4:
% 10.61/10.77 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #3: input, references = 42, size of lhs = 5:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #4: input, references = 3, size of lhs = 8:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #5: input, references = 22, size of lhs = 4:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #6: input, references = 3, size of lhs = 5:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #7: input, references = 19, size of lhs = 6:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #8: input, references = 10, size of lhs = 10:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #9: input, references = 3, size of lhs = 5:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #10: input, references = 3, size of lhs = 2:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #11: input, references = 3, size of lhs = 4:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #12: input, references = 3, size of lhs = 5:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #13: input, references = 3, size of lhs = 2:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #14: input, references = 3, size of lhs = 4:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #15: input, references = 7, size of lhs = 4:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #16: input, references = 6, size of lhs = 4:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #17: input, references = 9, size of lhs = 4:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #18: input, references = 9, size of lhs = 6:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #19: input, references = 3, size of lhs = 5:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #20: input, references = 3, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #21: input, references = 88, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #22: input, references = 116, size of lhs = 4:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #23: input, references = 29, size of lhs = 6:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #24: input, references = 8, size of lhs = 6:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #25: input, references = 10, size of lhs = 4:
% 10.61/10.77 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)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #26: input, references = 17, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #27: input, references = 3, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #28: input, references = 4, size of lhs = 4:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #29: input, references = 5, size of lhs = 5:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | defined-{T}(V4)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #30: input, references = 5, size of lhs = 6:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | defined-{T}(V5)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #31: input, references = 3, size of lhs = 7:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6) | defined-{T}(V6)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #32: input, references = 9, size of lhs = 7:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6) | equalish-{T}(V2,V3)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #33: input, references = 8, size of lhs = 7:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6) | equalish-{T}(V4,V5)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #34: input, references = 22, size of lhs = 8:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_add-{F}(V2,V4,V7) | equalish-{T}(V7,V6)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #35: input, references = 5, size of lhs = 10:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_add-{F}(V2,V4,V7), P_add-{F}(V5,V3,V8), equalish-{F}(V8,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #36: input, references = 74, size of lhs = 2:
% 10.61/10.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #37: input, references = 4, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #38: input, references = 3, size of lhs = 1:
% 10.61/10.77 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #39: input, references = 15, size of lhs = 2:
% 10.61/10.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #40: input, references = 4, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #41: input, references = 3, size of lhs = 1:
% 10.61/10.77 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #42: input, references = 4, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_a-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #43: input, references = 4, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_b-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #44: input, references = 6, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_c-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #45: input, references = 7, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_d-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #46: input, references = 10, size of lhs = 0:
% 10.61/10.77 FALSE | EXISTS V0: P_u-{T}(V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 number of initial rules = 47
% 10.61/10.77
% 10.61/10.77 Simplifiers:
% 10.61/10.77 #47: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #48: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #49: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #50: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #51: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #52: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #53: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #54: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #55: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #56: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #57: unsound, references = 3, size of lhs = 3:
% 10.61/10.77 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 number of simplifiers = 11
% 10.61/10.77
% 10.61/10.77 Learnt:
% 10.61/10.77 #64: mergings( V1 == V5, V2 == V6; #61 ), references = 1, size of lhs = 6:
% 10.61/10.77 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #82: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #74 ), references = 1, size of lhs = 5:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #126: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #114 ), references = 2, size of lhs = 6:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #140: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #127 ), references = 1, size of lhs = 5:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V1,V0), P_multiplicative_identity-{F}(V1) | less_or_equal-{T}(V0,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #156: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V1; #150 ), references = 1, size of lhs = 6:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V0,V0,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #169: exists( #36, #35 ), references = 5, size of lhs = 9:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_add-{F}(V5,V3,V7), equalish-{F}(V7,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #173: mergings( V0 == V3; #171 ), references = 1, size of lhs = 8:
% 10.61/10.77 P_d-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_b-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #195: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #182 ), references = 1, size of lhs = 9:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), equalish-{F}(V0,V4), P_add-{F}(V4,V2,V1), P_add-{F}(V1,V2,V4), equalish-{F}(V4,V3) | less_or_equal-{T}(V1,V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #224: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12; #212 ), references = 1, size of lhs = 9:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V2,V1), P_add-{F}(V1,V2,V4), equalish-{F}(V4,V0) | less_or_equal-{T}(V0,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #259: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V4 == V6, V6 == V8, V8 == V0, V0 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28; #234 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V2,V1), P_add-{F}(V4,V2,V1), less_or_equal-{F}(V4,V0) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #297: mergings( V37 == V38, V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V2, V2 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36; #263 ), references = 1, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_add-{F}(V2,V4,V3), P_add-{F}(V1,V0,V5), equalish-{F}(V5,V1), P_add-{F}(V5,V4,V3) | less_or_equal-{T}(V1,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #310: mergings( V3 == V5, V4 == V6; #307 ), references = 1, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), equalish-{F}(V5,V7), P_add-{F}(V7,V0,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #319: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #314 ), references = 9, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), equalish-{F}(V5,V7), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #363: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V14; #353 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_b-{F}(V4), P_additive_identity-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_d-{F}(V8), P_u-{F}(V9), P_add-{F}(V1,V3,V9), equalish-{F}(V8,V10), P_add-{F}(V10,V4,V11), P_add-{F}(V2,V3,V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #420: mergings( V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18; #406 ), references = 1, size of lhs = 11:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_additive_identity-{F}(V4), P_add-{F}(V2,V0,V5), P_multiplicative_identity-{F}(V6), equalish-{F}(V5,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #434: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V19, V6 == V20; #408 ), references = 4, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_b-{F}(V5), P_d-{F}(V6), P_u-{F}(V7), P_add-{F}(V6,V5,V8), equalish-{F}(V8,V9), equalish-{F}(V2,V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #450: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V0 == V19, V5 == V20, V1 == V21, V6 == V22; #407 ), references = 4, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_b-{F}(V5), P_d-{F}(V6), P_u-{F}(V7), P_add-{F}(V6,V5,V8), equalish-{F}(V8,V9), equalish-{F}(V2,V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #469: mergings( V0 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V16; #454 ), references = 1, size of lhs = 9:
% 10.61/10.77 P_c-{F}(V0), defined-{F}(V0), P_u-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_d-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #484: mergings( V0 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V5 == V1, V16 == V6; #455 ), references = 1, size of lhs = 9:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_multiplicative_identity-{F}(V2), P_u-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #501: mergings( V0 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V18, V18 == V5, V16 == V19, V19 == V6; #456 ), references = 1, size of lhs = 9:
% 10.61/10.77 defined-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), P_u-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #518: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V7, V16 == V5; #502 ), references = 1, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #535: mergings( V1 == V2, V2 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V18, V18 == V5, V16 == V19, V19 == V6; #503 ), references = 1, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #542: mergings( V0 == V2, V1 == V3; #539 ), references = 1, size of lhs = 6:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V0), less_or_equal-{F}(V2,V0) | less_or_equal-{T}(V0,V1)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #547: mergings( V0 == V3; #545 ), references = 3, size of lhs = 9:
% 10.61/10.77 P_u-{F}(V0), defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), equalish-{F}(V5,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #575: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #569 ), references = 1, size of lhs = 6:
% 10.61/10.77 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #609: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18; #596 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_d-{F}(V8), P_u-{F}(V9), equalish-{F}(V9,V10), equalish-{F}(V4,V10), equalish-{F}(V8,V11), P_add-{F}(V11,V3,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #623: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #610 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), equalish-{F}(V6,V0), P_u-{F}(V7), equalish-{F}(V7,V8), equalish-{F}(V2,V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #659: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V0 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #644 ), references = 1, size of lhs = 6:
% 10.61/10.77 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
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #687: mergings( V3 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V9, V9 == V11, V11 == V13, V13 == V15; #678 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #741: mergings( V3 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V4 == V8, V8 == V13, V13 == V15, V15 == V18, V0 == V19, V5 == V16, V1 == V20, V6 == V21; #727 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_u-{F}(V2), P_add-{F}(V1,V0,V3), defined-{F}(V4), P_b-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), equalish-{F}(V7,V8), P_add-{F}(V8,V4,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #756: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V8, V8 == V12, V12 == V14, V14 == V16, V1 == V17, V17 == V5, V0 == V18, V6 == V19; #742 ), references = 1, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_u-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), equalish-{F}(V5,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #779: mergings( V1 == V5, V5 == V7, V7 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V2 == V6, V6 == V8, V8 == V15, V15 == V18, V18 == V20, V20 == V22, V3 == V9, V9 == V23, V4 == V23, V23 == V10, V11 == V24, V12 == V13; #759 ), references = 1, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_d-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #799: mergings( V1 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V2 == V6, V6 == V8, V8 == V13, V13 == V16, V16 == V18, V18 == V20, V3 == V9, V9 == V21, V4 == V21, V21 == V10, V11 == V22; #780 ), references = 2, size of lhs = 7:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #806: mergings( V1 == V6, V2 == V7, V3 == V5, V4 == V5; #801 ), references = 1, size of lhs = 5:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #814: mergings( V1 == V4, V4 == V7, V2 == V3, V3 == V8; #809 ), references = 1, size of lhs = 6:
% 10.61/10.77 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2), P_d-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #820: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V7; #815 ), references = 1, size of lhs = 5:
% 10.61/10.77 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #826: mergings( V1 == V4, V4 == V5, V2 == V3, V3 == V6; #821 ), references = 1, size of lhs = 4:
% 10.61/10.77 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #845: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V8 == V9; #837 ), references = 1, size of lhs = 5:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V0,V1), equalish-{F}(V2,V0) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #865: mergings( V0 == V3, V3 == V5, V5 == V7, V1 == V4, V4 == V6; #859 ), references = 1, size of lhs = 5:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V0,V1), equalish-{F}(V2,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #869: mergings( V0 == V2, V1 == V4; #866 ), references = 1, size of lhs = 7:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V2,V2,V0), P_add-{F}(V1,V2,V0) | less_or_equal-{T}(V1,V0)
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #903: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #887 ), references = 13, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), equalish-{F}(V0,V3), equalish-{F}(V3,V2), equalish-{F}(V4,V1), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #906: exists( #36, #904 ), references = 7, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V0,V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V1,V4), equalish-{F}(V4,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #943: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #932 ), references = 2, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V0,V1), equalish-{F}(V1,V1), P_multiplicative_identity-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #953: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #933 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), equalish-{F}(V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V1,V3), P_multiplicative_identity-{F}(V4), equalish-{F}(V3,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #979: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V5 == V9, V9 == V12; #971 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V1,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V0), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), equalish-{F}(V3,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #988: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V5 == V7, V7 == V12, V12 == V14; #972 ), references = 2, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), P_add-{F}(V0,V1,V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V2), P_multiplicative_identity-{F}(V5), equalish-{F}(V3,V5), equalish-{F}(V6,V4), P_add-{F}(V6,V2,V7), equalish-{F}(V7,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1003: mergings( V3 == V5, V5 == V8, V6 == V9; #999 ), references = 2, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), equalish-{F}(V3,V6), equalish-{F}(V6,V5), equalish-{F}(V7,V4), P_add-{F}(V7,V3,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1008: mergings( V3 == V4, V4 == V6, V5 == V7; #1004 ), references = 9, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), equalish-{F}(V0,V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V1,V4), equalish-{F}(V4,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1044: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V14, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15; #1031 ), references = 1, size of lhs = 9:
% 10.61/10.77 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_inverse-{F}(V1,V3), P_additive_identity-{F}(V4), equalish-{F}(V3,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1055: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #1032 ), references = 1, size of lhs = 9:
% 10.61/10.77 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), equalish-{F}(V4,V3), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1066: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V16, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V17; #1033 ), references = 1, size of lhs = 12:
% 10.61/10.77 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_inverse-{F}(V3,V4), defined-{F}(V4), P_add-{F}(V4,V3,V5), P_additive_identity-{F}(V6), equalish-{F}(V7,V6), P_add-{F}(V7,V1,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1080: exists( #36, #1076 ), references = 2, size of lhs = 17:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_b-{F}(V2), defined-{F}(V3), P_d-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_c-{F}(V6), defined-{F}(V7), P_a-{F}(V7), P_add-{F}(V6,V7,V8), equalish-{F}(V8,V5), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_u-{F}(V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1081: exists( #36, #1077 ), references = 2, size of lhs = 17:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_b-{F}(V2), defined-{F}(V3), P_d-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_a-{F}(V6), defined-{F}(V7), P_c-{F}(V7), P_add-{F}(V7,V6,V8), equalish-{F}(V8,V5), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_u-{F}(V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1091: mergings( V0 == V3, V3 == V11, V4 == V12; #1086 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), P_b-{F}(V3), defined-{F}(V4), P_d-{F}(V4), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), defined-{F}(V7), equalish-{F}(V7,V6), P_a-{F}(V7), P_multiplicative_identity-{F}(V8), P_u-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1095: mergings( V0 == V3, V3 == V11, V4 == V12; #1087 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), P_b-{F}(V3), defined-{F}(V4), P_d-{F}(V4), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), defined-{F}(V7), equalish-{F}(V7,V6), P_a-{F}(V7), P_multiplicative_identity-{F}(V8), P_u-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1123: mergings( V3 == V5, V5 == V7, V7 == V13, V4 == V6, V6 == V14; #1116 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_c-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_add-{F}(V5,V6,V4), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_b-{F}(V9), P_d-{F}(V10), P_add-{F}(V10,V9,V2), P_u-{F}(V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1129: mergings( V3 == V5, V5 == V7, V7 == V13, V4 == V6, V6 == V14; #1117 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_a-{F}(V5), defined-{F}(V6), P_c-{F}(V6), P_add-{F}(V6,V5,V4), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_b-{F}(V9), P_d-{F}(V10), P_add-{F}(V10,V9,V2), P_u-{F}(V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1137: mergings( V3 == V5, V5 == V7, V7 == V12, V4 == V6, V6 == V13; #1130 ), references = 1, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_add-{F}(V4,V5,V3), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_u-{F}(V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1143: mergings( V3 == V5, V5 == V7, V7 == V12, V4 == V6, V6 == V13; #1131 ), references = 1, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_a-{F}(V4), defined-{F}(V5), P_c-{F}(V5), P_add-{F}(V5,V4,V3), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_u-{F}(V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1172: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V16, V4 == V10, V10 == V12, V12 == V17; #1163 ), references = 1, size of lhs = 17:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_c-{F}(V5), defined-{F}(V6), P_a-{F}(V6), P_add-{F}(V5,V6,V7), equalish-{F}(V4,V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_b-{F}(V10), P_d-{F}(V11), P_add-{F}(V11,V10,V2), P_u-{F}(V12) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1180: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V16, V4 == V10, V10 == V12, V12 == V17; #1164 ), references = 1, size of lhs = 17:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_a-{F}(V5), defined-{F}(V6), P_c-{F}(V6), P_add-{F}(V6,V5,V7), equalish-{F}(V4,V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_b-{F}(V10), P_d-{F}(V11), P_add-{F}(V11,V10,V2), P_u-{F}(V12) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1190: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V15, V4 == V9, V9 == V11, V11 == V16; #1181 ), references = 5, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_add-{F}(V4,V5,V6), equalish-{F}(V3,V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_u-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1198: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V15, V4 == V9, V9 == V11, V11 == V16; #1182 ), references = 5, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_a-{F}(V4), defined-{F}(V5), P_c-{F}(V5), P_add-{F}(V5,V4,V6), equalish-{F}(V3,V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_u-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1215: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V12, V12 == V14, V14 == V16; #1203 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_d-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), P_a-{F}(V4), P_multiplicative_identity-{F}(V5), P_u-{F}(V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1226: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V12, V12 == V14, V14 == V16; #1204 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_d-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), P_a-{F}(V4), P_multiplicative_identity-{F}(V5), P_u-{F}(V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1252: mergings( V0 == V3, V3 == V5, V5 == V11, V4 == V6, V6 == V12; #1245 ), references = 2, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_d-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), equalish-{F}(V5,V4), P_a-{F}(V5), P_multiplicative_identity-{F}(V6), P_u-{F}(V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1258: mergings( V0 == V3, V3 == V5, V5 == V11, V4 == V6, V6 == V12; #1246 ), references = 2, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_d-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), equalish-{F}(V5,V4), P_a-{F}(V5), P_multiplicative_identity-{F}(V6), P_u-{F}(V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1269: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V11, V7 == V9, V9 == V12; #1261 ), references = 1, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_b-{F}(V3), equalish-{F}(V3,V0), defined-{F}(V4), P_add-{F}(V4,V0,V1), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_u-{F}(V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1276: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V11, V7 == V9, V9 == V12; #1262 ), references = 1, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_b-{F}(V3), equalish-{F}(V3,V0), defined-{F}(V4), P_add-{F}(V4,V0,V1), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_u-{F}(V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1293: mergings( V3 == V10, V4 == V11; #1289 ), references = 1, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_c-{F}(V4), equalish-{F}(V5,V4), defined-{F}(V6), P_add-{F}(V5,V6,V3), P_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_u-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1296: mergings( V3 == V10, V4 == V11; #1290 ), references = 1, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_a-{F}(V4), P_add-{F}(V5,V4,V3), equalish-{F}(V5,V6), defined-{F}(V6), P_c-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_u-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1339: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19; #1324 ), references = 1, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V1,V4), equalish-{F}(V3,V5), equalish-{F}(V5,V0), equalish-{F}(V6,V4), P_add-{F}(V6,V3,V7), equalish-{F}(V2,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1369: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V16; #1358 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_d-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), P_a-{F}(V5), P_multiplicative_identity-{F}(V6), P_u-{F}(V7), equalish-{F}(V8,V0), P_add-{F}(V8,V5,V9), equalish-{F}(V9,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1379: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V16; #1359 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_d-{F}(V2), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), P_a-{F}(V5), P_multiplicative_identity-{F}(V6), P_u-{F}(V7), equalish-{F}(V8,V0), P_add-{F}(V8,V5,V9), equalish-{F}(V9,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1394: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V7 == V9, V9 == V11, V11 == V13, V13 == V17; #1382 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_b-{F}(V2), equalish-{F}(V2,V0), defined-{F}(V3), P_d-{F}(V3), P_add-{F}(V3,V0,V4), defined-{F}(V5), P_a-{F}(V5), P_multiplicative_identity-{F}(V6), P_u-{F}(V7), equalish-{F}(V8,V1), P_add-{F}(V8,V5,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1405: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V7 == V9, V9 == V11, V11 == V13, V13 == V17; #1383 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_b-{F}(V2), equalish-{F}(V2,V0), defined-{F}(V3), P_d-{F}(V3), P_add-{F}(V3,V0,V4), defined-{F}(V5), P_a-{F}(V5), P_multiplicative_identity-{F}(V6), P_u-{F}(V7), equalish-{F}(V8,V1), P_add-{F}(V8,V5,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1418: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #1406 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V0), P_multiplicative_identity-{F}(V4), P_u-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1429: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #1407 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V0), P_multiplicative_identity-{F}(V4), P_u-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1462: mergings( V1 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V2 == V6, V6 == V11, V11 == V13, V13 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V7 == V26, V8 == V25, V3 == V24, V4 == V15; #1438 ), references = 1, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1485: mergings( V1 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V2 == V6, V6 == V11, V11 == V13, V13 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V7 == V26, V8 == V25, V3 == V24, V4 == V15; #1439 ), references = 1, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1516: mergings( V1 == V6, V6 == V9, V9 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V2 == V7, V7 == V10, V10 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V3 == V11, V11 == V29, V4 == V12, V12 == V28, V5 == V8, V8 == V27; #1488 ), references = 1, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1543: mergings( V1 == V6, V6 == V9, V9 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V2 == V7, V7 == V10, V10 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V3 == V11, V11 == V29, V4 == V12, V12 == V28, V5 == V8, V8 == V27; #1489 ), references = 1, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1588: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V6 == V8, V8 == V10; #1579 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), P_d-{F}(V1), defined-{F}(V1), P_add-{F}(V1,V0,V0), P_u-{F}(V2), defined-{F}(V2), P_b-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_c-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1596: mergings( V3 == V0, V0 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9, V9 == V10; #1581 ), references = 1, size of lhs = 7:
% 10.61/10.77 defined-{F}(V0), equalish-{F}(V0,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
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1632: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V6 == V8, V8 == V10, V10 == V13; #1623 ), references = 1, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), P_d-{F}(V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_u-{F}(V3), defined-{F}(V3), P_b-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_c-{F}(V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1643: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V5 == V7, V7 == V9, V9 == V12; #1634 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), P_d-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V1), P_u-{F}(V2), defined-{F}(V2), P_b-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_c-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1676: mergings( V3 == V8, V8 == V10, V10 == V14, V4 == V9, V9 == V12; #1668 ), references = 1, size of lhs = 15:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V5), equalish-{F}(V4,V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V5), P_additive_identity-{F}(V8), equalish-{F}(V7,V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1682: mergings( V3 == V8, V8 == V10, V10 == V14, V4 == V9, V9 == V12; #1669 ), references = 1, size of lhs = 15:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V5), equalish-{F}(V4,V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V5,V7), P_additive_identity-{F}(V8), equalish-{F}(V7,V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1688: mergings( V3 == V8, V8 == V10, V10 == V13, V4 == V9, V9 == V12; #1670 ), references = 1, size of lhs = 15:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V5), equalish-{F}(V4,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7), equalish-{F}(V8,V7), P_add-{F}(V8,V5,V9), equalish-{F}(V9,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1702: mergings( V3 == V5, V5 == V10, V6 == V11; #1697 ), references = 1, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_d-{F}(V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), P_c-{F}(V4), defined-{F}(V5), P_a-{F}(V5), P_add-{F}(V4,V5,V3), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_u-{F}(V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1706: mergings( V3 == V5, V5 == V10, V6 == V11; #1698 ), references = 1, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_d-{F}(V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), P_a-{F}(V4), defined-{F}(V5), P_c-{F}(V5), P_add-{F}(V5,V4,V3), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_u-{F}(V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1712: mergings( V3 == V4, V4 == V7, V5 == V8; #1707 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), P_d-{F}(V2), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_u-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1716: mergings( V3 == V4, V4 == V7, V5 == V8; #1708 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), P_d-{F}(V2), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_u-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1732: mergings( V1 == V5, V5 == V7, V7 == V8, V8 == V13, V2 == V6, V6 == V9, V9 == V14, V3 == V12, V4 == V12; #1721 ), references = 1, size of lhs = 9:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_d-{F}(V2), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1742: mergings( V1 == V5, V5 == V7, V7 == V8, V8 == V13, V2 == V6, V6 == V9, V9 == V14, V3 == V12, V4 == V12; #1722 ), references = 1, size of lhs = 9:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_d-{F}(V2), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1785: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #1772 ), references = 4, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), equalish-{F}(V3,V1), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V1), equalish-{F}(V2,V5), P_multiply-{F}(V5,V0,V6), equalish-{F}(V6,V7), equalish-{F}(V7,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1796: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14; #1773 ), references = 3, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), equalish-{F}(V0,V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V3,V4), P_multiply-{F}(V4,V1,V5), equalish-{F}(V5,V6), equalish-{F}(V6,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1811: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13; #1799 ), references = 4, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), equalish-{F}(V4,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1850: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V14, V0 == V5, V5 == V7, V7 == V9, V9 == V12; #1839 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V0), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_additive_identity-{F}(V5), equalish-{F}(V4,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1859: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V13, V0 == V5, V5 == V7, V7 == V9, V9 == V12; #1840 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V1,V3), equalish-{F}(V3,V0), defined-{F}(V4), equalish-{F}(V4,V4), P_additive_identity-{F}(V4), equalish-{F}(V0,V5), P_multiply-{F}(V5,V4,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1868: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V14, V0 == V5, V5 == V7, V7 == V9, V9 == V12; #1841 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V1,V3), equalish-{F}(V3,V0), defined-{F}(V4), P_additive_identity-{F}(V5), equalish-{F}(V6,V5), P_add-{F}(V6,V4,V7), equalish-{F}(V7,V5), equalish-{F}(V0,V8), P_multiply-{F}(V8,V4,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1895: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V13, V0 == V5, V5 == V7, V7 == V9, V9 == V12; #1885 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V0), P_additive_identity-{F}(V4), equalish-{F}(V5,V4), P_add-{F}(V5,V2,V6), equalish-{F}(V6,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1904: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V14, V0 == V5, V5 == V7, V7 == V9, V9 == V12; #1886 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V0), defined-{F}(V4), P_additive_inverse-{F}(V2,V4), P_additive_identity-{F}(V5), equalish-{F}(V4,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1921: exists( #36, #1917 ), references = 1, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_u-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_c-{F}(V9), P_d-{F}(V10), equalish-{F}(V10,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1947: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V13, V4 == V10, V10 == V12, V12 == V14; #1938 ), references = 1, size of lhs = 14:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V0,V2), P_d-{F}(V3), P_u-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), equalish-{F}(V4,V6), equalish-{F}(V7,V5), P_add-{F}(V7,V5,V8), equalish-{F}(V8,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1955: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V14, V4 == V10, V10 == V12, V12 == V15; #1939 ), references = 1, size of lhs = 14:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V0,V2), P_d-{F}(V3), P_u-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V5,V6), equalish-{F}(V6,V5), P_multiplicative_identity-{F}(V7), equalish-{F}(V4,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1980: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V10; #1973 ), references = 2, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6), equalish-{F}(V6,V2), equalish-{F}(V7,V6), P_add-{F}(V7,V2,V8), equalish-{F}(V8,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1988: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #1974 ), references = 2, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V4,V0), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V0), equalish-{F}(V1,V6), P_add-{F}(V6,V2,V7), equalish-{F}(V7,V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #1998: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V15; #1975 ), references = 2, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V3), equalish-{F}(V2,V4), P_multiplicative_identity-{F}(V5), equalish-{F}(V0,V6), P_add-{F}(V6,V1,V7), equalish-{F}(V7,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2004: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V12; #1999 ), references = 2, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6), equalish-{F}(V6,V2), equalish-{F}(V7,V6), P_add-{F}(V7,V2,V8), equalish-{F}(V8,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2012: mergings( V0 == V1, V1 == V3, V3 == V5, V4 == V6, V6 == V11; #2006 ), references = 5, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), equalish-{F}(V4,V5), P_multiplicative_identity-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2027: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V12; #2022 ), references = 2, size of lhs = 14:
% 10.61/10.77 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), defined-{F}(V5), equalish-{F}(V5,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V2,V6), equalish-{F}(V6,V0), equalish-{F}(V4,V7), P_multiplicative_identity-{F}(V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2066: mergings( V3 == V6, V6 == V8, V8 == V14, V14 == V15, V15 == V17, V4 == V7, V7 == V9, V9 == V16, V16 == V18, V18 == V20; #2053 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V0,V1), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_add-{F}(V5,V3,V0), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_additive_identity-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V1), P_multiplicative_identity-{F}(V9), equalish-{F}(V8,V10), equalish-{F}(V10,V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2118: mergings( V3 == V6, V6 == V8, V8 == V15, V15 == V17, V17 == V19, V19 == V22, V4 == V7, V7 == V9, V9 == V16, V16 == V18, V18 == V20, V20 == V23; #2103 ), references = 1, size of lhs = 17:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V0,V1), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_add-{F}(V5,V3,V0), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V1), P_additive_identity-{F}(V9), equalish-{F}(V9,V7), P_multiplicative_identity-{F}(V10), equalish-{F}(V8,V11), equalish-{F}(V11,V10) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2137: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V21 == V23; #2121 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V2), defined-{F}(V4), P_multiply-{F}(V4,V3,V0), defined-{F}(V5), P_add-{F}(V5,V4,V1), P_multiply-{F}(V5,V3,V0), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), P_multiplicative_identity-{F}(V7), equalish-{F}(V6,V8), equalish-{F}(V8,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2161: mergings( V3 == V8, V8 == V10, V10 == V14, V4 == V9, V9 == V11, V11 == V15; #2154 ), references = 1, size of lhs = 15:
% 10.61/10.77 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), defined-{F}(V5), P_add-{F}(V6,V2,V5), equalish-{F}(V6,V0), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), equalish-{F}(V4,V8), equalish-{F}(V9,V7), P_add-{F}(V9,V5,V10), equalish-{F}(V10,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2171: mergings( V0 == V1, V1 == V3, V3 == V10, V10 == V12, V4 == V11, V11 == V13, V13 == V15; #2163 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), defined-{F}(V3), P_d-{F}(V4), P_u-{F}(V5), P_add-{F}(V6,V3,V0), equalish-{F}(V6,V1), P_multiplicative_identity-{F}(V7), equalish-{F}(V5,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2199: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V18; #2189 ), references = 1, size of lhs = 18:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V5), defined-{F}(V6), equalish-{F}(V6,V6), P_additive_identity-{F}(V6), equalish-{F}(V4,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V5), P_add-{F}(V7,V8,V9), equalish-{F}(V9,V10), P_multiplicative_identity-{F}(V10) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2207: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V19, V4 == V11, V11 == V13, V13 == V18; #2190 ), references = 1, size of lhs = 21:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V5), equalish-{F}(V4,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V5), defined-{F}(V8), P_add-{F}(V6,V7,V9), equalish-{F}(V9,V10), P_multiplicative_identity-{F}(V10), P_additive_identity-{F}(V11), equalish-{F}(V11,V8), equalish-{F}(V12,V11), P_add-{F}(V12,V8,V13), equalish-{F}(V13,V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2215: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V19, V4 == V11, V11 == V13, V13 == V18; #2191 ), references = 1, size of lhs = 21:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V5), equalish-{F}(V4,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V5), defined-{F}(V8), P_add-{F}(V6,V7,V9), equalish-{F}(V9,V10), P_multiplicative_identity-{F}(V10), P_additive_identity-{F}(V11), equalish-{F}(V11,V8), equalish-{F}(V12,V11), P_add-{F}(V12,V8,V13), equalish-{F}(V13,V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2253: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V18; #2243 ), references = 2, size of lhs = 18:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V6), equalish-{F}(V6,V6), P_additive_identity-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), equalish-{F}(V7,V9), P_add-{F}(V9,V8,V5), equalish-{F}(V4,V10), P_multiplicative_identity-{F}(V10) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2261: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V18, V4 == V11, V11 == V13, V13 == V19; #2244 ), references = 1, size of lhs = 21:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), P_additive_identity-{F}(V10), equalish-{F}(V10,V9), equalish-{F}(V8,V10), P_multiplicative_identity-{F}(V11), equalish-{F}(V4,V11), equalish-{F}(V6,V12), P_add-{F}(V12,V7,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2269: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V17; #2245 ), references = 1, size of lhs = 20:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_add-{F}(V2,V0,V5), defined-{F}(V6), P_additive_identity-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_multiplicative_identity-{F}(V9), equalish-{F}(V4,V9), equalish-{F}(V10,V6), P_add-{F}(V10,V6,V11), equalish-{F}(V11,V6), equalish-{F}(V7,V12), P_add-{F}(V12,V8,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2280: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V13, V4 == V10, V10 == V12, V12 == V15; #2270 ), references = 2, size of lhs = 15:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), defined-{F}(V5), equalish-{F}(V5,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V0,V6), equalish-{F}(V6,V2), equalish-{F}(V4,V7), P_multiplicative_identity-{F}(V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2288: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V16, V4 == V10, V10 == V12, V12 == V17; #2271 ), references = 1, size of lhs = 18:
% 10.61/10.77 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), defined-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V0), equalish-{F}(V5,V2), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), P_additive_identity-{F}(V8), equalish-{F}(V8,V7), equalish-{F}(V6,V8), P_multiplicative_identity-{F}(V9), equalish-{F}(V4,V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2311: mergings( V3 == V10, V10 == V1, V4 == V11, V11 == V12; #2304 ), references = 3, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V3,V3), P_additive_identity-{F}(V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V7), equalish-{F}(V6,V7), equalish-{F}(V7,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2316: mergings( V3 == V10, V10 == V13, V4 == V11, V11 == V14; #2305 ), references = 4, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiply-{F}(V0,V4,V5), P_multiply-{F}(V1,V4,V6), P_add-{F}(V6,V5,V7), P_additive_identity-{F}(V8), equalish-{F}(V3,V8), P_multiplicative_identity-{F}(V9), equalish-{F}(V7,V9), equalish-{F}(V9,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2321: mergings( V3 == V10, V10 == V12, V4 == V11, V11 == V13; #2306 ), references = 3, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V5,V4,V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), equalish-{F}(V6,V8), equalish-{F}(V8,V2), equalish-{F}(V9,V7), P_add-{F}(V9,V3,V10), equalish-{F}(V10,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2332: mergings( V3 == V5; #2328 ), references = 1, size of lhs = 11:
% 10.61/10.77 P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), equalish-{F}(V3,V3), P_additive_identity-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5), P_add-{F}(V5,V4,V6), equalish-{F}(V6,V0) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2334: mergings( V3 == V10; #2329 ), references = 1, size of lhs = 13:
% 10.61/10.77 P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_add-{F}(V6,V5,V7), equalish-{F}(V7,V0), P_additive_identity-{F}(V8), equalish-{F}(V3,V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2336: mergings( V3 == V9; #2330 ), references = 1, size of lhs = 13:
% 10.61/10.77 P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5), P_add-{F}(V5,V4,V6), equalish-{F}(V6,V0), P_additive_identity-{F}(V7), equalish-{F}(V8,V7), P_add-{F}(V8,V3,V9), equalish-{F}(V9,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2353: mergings( V0 == V6; #2349 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V0,V3), defined-{F}(V4), equalish-{F}(V4,V4), P_additive_identity-{F}(V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V2,V4,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2355: mergings( V0 == V8; #2350 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V0,V3), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_multiply-{F}(V1,V5,V0), P_multiply-{F}(V2,V5,V6), P_additive_identity-{F}(V6), equalish-{F}(V4,V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2357: mergings( V0 == V7; #2351 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V0,V3), defined-{F}(V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V2,V4,V5), P_additive_identity-{F}(V5), equalish-{F}(V6,V5), P_add-{F}(V6,V4,V7), equalish-{F}(V7,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2380: exists( #36, #2376 ), references = 1, size of lhs = 19:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_d-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_b-{F}(V6), equalish-{F}(V6,V3), defined-{F}(V7), P_c-{F}(V7), defined-{F}(V8), P_a-{F}(V8), P_add-{F}(V7,V8,V5), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_u-{F}(V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2381: exists( #36, #2377 ), references = 1, size of lhs = 19:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_d-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_b-{F}(V6), equalish-{F}(V6,V3), defined-{F}(V7), P_a-{F}(V7), defined-{F}(V8), P_c-{F}(V8), P_add-{F}(V8,V7,V5), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_u-{F}(V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2405: mergings( V7 == V9, V8 == V10; #2402 ), references = 2, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_c-{F}(V9), P_d-{F}(V10), equalish-{F}(V10,V3), P_u-{F}(V11), equalish-{F}(V5,V11) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2416: mergings( V3 == V10, V10 == V12, V4 == V11, V11 == V13, V0 == V14, V5 == V8, V1 == V15, V6 == V16; #2407 ), references = 1, size of lhs = 14:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_d-{F}(V7), equalish-{F}(V7,V3), P_u-{F}(V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2464: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #2459 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), P_d-{F}(V9), equalish-{F}(V9,V3), P_u-{F}(V10), P_add-{F}(V11,V0,V10), equalish-{F}(V11,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2501: mergings( V3 == V4, V4 == V7, V7 == V13, V0 == V5, V5 == V8, V8 == V14; #2492 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V2), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V4,V0,V1), defined-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), equalish-{F}(V6,V0), defined-{F}(V7), equalish-{F}(V7,V7), P_additive_identity-{F}(V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2508: mergings( V3 == V4, V4 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V12; #2493 ), references = 1, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V3,V3), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_add-{F}(V1,V4,V5), equalish-{F}(V5,V0) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2515: mergings( V3 == V4, V4 == V7, V7 == V15, V0 == V5, V5 == V8, V8 == V17; #2494 ), references = 1, size of lhs = 20:
% 10.61/10.77 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), P_a-{F}(V3), defined-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), defined-{F}(V5), P_d-{F}(V6), P_u-{F}(V7), equalish-{F}(V7,V0), P_add-{F}(V5,V3,V8), defined-{F}(V9), equalish-{F}(V9,V9), P_additive_identity-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V2), P_add-{F}(V1,V10,V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2554: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14; #2541 ), references = 1, size of lhs = 10:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V3), equalish-{F}(V2,V4), equalish-{F}(V4,V3), equalish-{F}(V3,V5), P_multiply-{F}(V5,V0,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2565: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14; #2542 ), references = 1, size of lhs = 12:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V3), equalish-{F}(V3,V4), P_multiply-{F}(V4,V2,V5), equalish-{F}(V5,V6), equalish-{F}(V6,V3), equalish-{F}(V3,V7), P_multiply-{F}(V7,V0,V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2576: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V20; #2543 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_multiply-{F}(V1,V5,V6), P_multiply-{F}(V2,V5,V7), P_add-{F}(V7,V6,V8), P_multiplicative_identity-{F}(V9), equalish-{F}(V8,V9), equalish-{F}(V9,V3), equalish-{F}(V9,V10), P_multiply-{F}(V10,V0,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2598: mergings( V3 == V10, V4 == V11; #2595 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), P_u-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), P_d-{F}(V11), equalish-{F}(V11,V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2627: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #2616 ), references = 1, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V6,V1,V5), equalish-{F}(V6,V0), defined-{F}(V7), equalish-{F}(V7,V7), P_additive_identity-{F}(V7), equalish-{F}(V3,V8), P_multiply-{F}(V8,V7,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2637: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #2617 ), references = 1, size of lhs = 15:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V6,V1,V5), equalish-{F}(V6,V0), defined-{F}(V7), P_additive_identity-{F}(V8), equalish-{F}(V9,V8), P_add-{F}(V9,V7,V10), equalish-{F}(V10,V8), equalish-{F}(V3,V11), P_multiply-{F}(V11,V7,V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2661: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #2651 ), references = 2, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V6,V1,V5), equalish-{F}(V6,V0), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), P_additive_identity-{F}(V8), equalish-{F}(V7,V8) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2688: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V10, V10 == V12, V12 == V15; #2678 ), references = 1, size of lhs = 16:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_d-{F}(V8), P_u-{F}(V9), equalish-{F}(V8,V10), P_add-{F}(V10,V3,V2), equalish-{F}(V11,V0), P_add-{F}(V11,V1,V12), equalish-{F}(V12,V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2699: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V9, V9 == V11, V11 == V13; #2689 ), references = 2, size of lhs = 13:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), equalish-{F}(V6,V0), P_u-{F}(V7), equalish-{F}(V8,V1), P_add-{F}(V8,V0,V9), equalish-{F}(V9,V7) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2718: mergings( V0 == V3, V3 == V9, V4 == V7; #2712 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_additive_identity-{F}(V5), equalish-{F}(V5,V0), equalish-{F}(V4,V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2739: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V16, V6 == V8, V8 == V10, V10 == V18; #2730 ), references = 1, size of lhs = 17:
% 10.61/10.77 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), defined-{F}(V4), P_additive_inverse-{F}(V4,V1), P_d-{F}(V5), P_u-{F}(V6), defined-{F}(V7), P_add-{F}(V0,V7,V1), equalish-{F}(V7,V7), P_additive_identity-{F}(V7), equalish-{F}(V0,V8), equalish-{F}(V8,V2), equalish-{F}(V6,V9), P_multiplicative_identity-{F}(V9) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2760: mergings( V3 == V8, V4 == V9, V0 == V10, V5 == V7, V1 == V11, V6 == V12; #2753 ), references = 1, size of lhs = 11:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), equalish-{F}(V4,V1), P_d-{F}(V5), equalish-{F}(V5,V0), P_u-{F}(V6) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2781: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V19, V2 == V6, V6 == V10, V10 == V12, V12 == V20, V7 == V13, V13 == V21, V8 == V14, V14 == V18, V3 == V15, V15 == V22, V4 == V16, V16 == V17; #2764 ), references = 1, size of lhs = 8:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V1), defined-{F}(V2), P_b-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2797: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V16, V2 == V5, V5 == V9, V9 == V11, V11 == V17, V6 == V12, V12 == V18, V7 == V13, V13 == V15, V3 == V14, V14 == V19; #2782 ), references = 1, size of lhs = 7:
% 10.61/10.77 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2816: mergings( V1 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V18, V2 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V19, V3 == V9, V9 == V15, V15 == V20, V4 == V10, V10 == V16, V16 == V17; #2799 ), references = 1, size of lhs = 5:
% 10.61/10.77 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2835: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V18, V3 == V6, V6 == V11, V11 == V16, V16 == V19; #2818 ), references = 1, size of lhs = 3:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2849: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #2836 ), references = 1, size of lhs = 2:
% 10.61/10.77 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2857: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2850 ), references = 1, size of lhs = 1:
% 10.61/10.77 P_additive_identity-{F}(V0) | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 #2859: exists( #37, #2850 ), references = 1, size of lhs = 0:
% 10.61/10.77 FALSE | FALSE
% 10.61/10.77 (used 0 times, uses = {})
% 10.61/10.77
% 10.61/10.77 number of learnt formulas = 161
% 10.61/10.77
% 10.61/10.77
% 10.61/10.77 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.61/10.77
% 10.61/10.77 randbase = 1
%------------------------------------------------------------------------------