TSTP Solution File: FLD071-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD071-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:01:17 EDT 2022
% Result : Unsatisfiable 19.84s 20.07s
% Output : Refutation 19.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD071-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 10:20:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.84/20.07 GeoParameters:
% 19.84/20.07
% 19.84/20.07 tptp_input = 1
% 19.84/20.07 tptp_output = 0
% 19.84/20.07 nonempty = 1
% 19.84/20.07 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/20.07 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 19.84/20.07
% 19.84/20.07
% 19.84/20.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/20.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/20.07
% 19.84/20.07 RuleSystem INPUT:
% 19.84/20.07
% 19.84/20.07 Initial Rules:
% 19.84/20.07 #0: input, references = 11, size of lhs = 7:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1: input, references = 26, size of lhs = 3:
% 19.84/20.07 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2: input, references = 21, size of lhs = 4:
% 19.84/20.07 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3: input, references = 19, size of lhs = 5:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #4: input, references = 11, size of lhs = 8:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #5: input, references = 32, size of lhs = 4:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #6: input, references = 3, size of lhs = 5:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #7: input, references = 23, size of lhs = 6:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #8: input, references = 10, size of lhs = 10:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #9: input, references = 4, size of lhs = 5:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #10: input, references = 4, size of lhs = 2:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #11: input, references = 3, size of lhs = 4:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #12: input, references = 3, size of lhs = 5:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #13: input, references = 3, size of lhs = 2:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #14: input, references = 3, size of lhs = 4:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #15: input, references = 26, size of lhs = 4:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #16: input, references = 23, size of lhs = 4:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #17: input, references = 27, size of lhs = 4:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #18: input, references = 31, size of lhs = 6:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #19: input, references = 20, size of lhs = 5:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #20: input, references = 4, size of lhs = 3:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #21: input, references = 128, size of lhs = 3:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #22: input, references = 89, size of lhs = 4:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #23: input, references = 4, size of lhs = 6:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #24: input, references = 6, size of lhs = 6:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #25: input, references = 80, size of lhs = 4:
% 19.84/20.07 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)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #26: input, references = 13, size of lhs = 3:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #27: input, references = 3, size of lhs = 3:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #28: input, references = 4, size of lhs = 4:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #29: input, references = 9, size of lhs = 5:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4) | defined-{T}(V4)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #30: input, references = 9, size of lhs = 5:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #31: input, references = 7, size of lhs = 5:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4) | less_or_equal-{T}(V0,V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #32: input, references = 23, size of lhs = 6:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_multiply-{F}(V2,V3,V5) | equalish-{T}(V5,V4)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #33: input, references = 6, size of lhs = 7:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_multiply-{F}(V2,V3,V5), less_or_equal-{F}(V0,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #34: input, references = 43, size of lhs = 2:
% 19.84/20.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #35: input, references = 4, size of lhs = 0:
% 19.84/20.07 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #36: input, references = 3, size of lhs = 1:
% 19.84/20.07 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #37: input, references = 34, size of lhs = 2:
% 19.84/20.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #38: input, references = 4, size of lhs = 0:
% 19.84/20.07 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #39: input, references = 3, size of lhs = 1:
% 19.84/20.07 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #40: input, references = 4, size of lhs = 0:
% 19.84/20.07 FALSE | EXISTS V0: P_a-{T}(V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #41: input, references = 5, size of lhs = 0:
% 19.84/20.07 FALSE | EXISTS V0: P_b-{T}(V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #42: input, references = 9, size of lhs = 0:
% 19.84/20.07 FALSE | EXISTS V0: P_u-{T}(V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 number of initial rules = 43
% 19.84/20.07
% 19.84/20.07 Simplifiers:
% 19.84/20.07 #43: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #44: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #45: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #46: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #47: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #48: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #49: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #50: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #51: unsound, references = 3, size of lhs = 3:
% 19.84/20.07 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 number of simplifiers = 9
% 19.84/20.07
% 19.84/20.07 Learnt:
% 19.84/20.07 #64: exists( #37, #33 ), references = 11, size of lhs = 6:
% 19.84/20.07 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), less_or_equal-{F}(V0,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #68: mergings( V0 == V3, V1 == V4; #65 ), references = 6, size of lhs = 7:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #95: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #83 ), references = 4, size of lhs = 7:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #124: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #108 ), references = 1, size of lhs = 6:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #136: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V10; #129 ), references = 21, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V2), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #164: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V11 == V17, V12 == V18; #150 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_u-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #193: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V13, V6 == V8, V8 == V10, V10 == V14, V14 == V15, V11 == V16, V12 == V17; #180 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V0), P_u-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #239: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V23 == V24, V20 == V25, V21 == V26; #218 ), references = 2, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #297: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V18, V1 == V19, V8 == V15; #280 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), P_add-{F}(V0,V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #332: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16; #319 ), references = 1, size of lhs = 9:
% 19.84/20.07 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), defined-{F}(V1), P_add-{F}(V1,V1,V0), P_u-{F}(V2), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #391: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V0 == V1, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16; #376 ), references = 1, size of lhs = 8:
% 19.84/20.07 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #419: mergings( V1 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V2 == V5, V5 == V6, V6 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V3 == V10, V10 == V25, V4 == V25, V25 == V7, V7 == V11; #395 ), references = 1, size of lhs = 6:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #475: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V23 == V31, V24 == V32; #448 ), references = 3, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), equalish-{F}(V2,V6), equalish-{F}(V6,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #504: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V26, V26 == V28, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V22 == V30, V23 == V31; #477 ), references = 1, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_u-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #551: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V25, V25 == V29, V29 == V30, V26 == V31, V27 == V32; #525 ), references = 12, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), P_add-{F}(V3,V0,V1), less_or_equal-{F}(V3,V2), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #586: mergings( V3 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V34, V7 == V30, V30 == V35, V8 == V31, V31 == V36; #555 ), references = 3, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_u-{F}(V1), less_or_equal-{F}(V0,V2), equalish-{F}(V2,V2), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #612: mergings( V3 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V9, V9 == V11, V11 == V13, V13 == V15; #603 ), references = 1, size of lhs = 11:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #657: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V16; #645 ), references = 3, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V2,V3,V4), equalish-{F}(V4,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V1,V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #672: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V4 == V8, V8 == V10, V10 == V11; #664 ), references = 4, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V3,V0,V4), P_add-{F}(V5,V3,V3), less_or_equal-{F}(V5,V0), P_additive_identity-{F}(V6), less_or_equal-{F}(V2,V6), equalish-{F}(V6,V4), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #692: mergings( V3 == V4, V4 == V6, V6 == V7, V0 == V5, V5 == V8, V8 == V10; #685 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V1), P_multiplicative_identity-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), less_or_equal-{F}(V4,V1), defined-{F}(V5), P_u-{F}(V5), P_add-{F}(V5,V2,V0), P_add-{F}(V6,V5,V5), less_or_equal-{F}(V6,V2), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #724: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #716 ), references = 1, size of lhs = 5:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #760: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V0 == V10, V10 == V12, V12 == V14, V14 == V16; #750 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), P_add-{F}(V5,V5,V4), less_or_equal-{F}(V0,V6), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #791: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V0 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #779 ), references = 3, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V3,V2,V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V4), less_or_equal-{F}(V0,V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #808: mergings( V3 == V5, V5 == V8, V6 == V10; #804 ), references = 3, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V2), P_additive_identity-{F}(V4), P_add-{F}(V5,V3,V2), less_or_equal-{F}(V5,V4), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #847: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V9, V9 == V11, V11 == V13, V13 == V15; #834 ), references = 1, size of lhs = 11:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), less_or_equal-{F}(V3,V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V5,V2,V4), less_or_equal-{F}(V5,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #858: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V9, V9 == V11, V11 == V13, V13 == V16; #835 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), equalish-{F}(V3,V3), P_additive_inverse-{F}(V2,V4), defined-{F}(V4), P_u-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #870: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16; #836 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V1,V0,V0), defined-{F}(V1), P_u-{F}(V1), P_add-{F}(V2,V1,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #955: 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 == V20; #938 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V2,V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V4), less_or_equal-{F}(V1,V4), P_additive_inverse-{F}(V3,V5), defined-{F}(V5), P_u-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #970: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21; #939 ), references = 4, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), equalish-{F}(V4,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V1,V5), equalish-{F}(V2,V6), P_add-{F}(V6,V3,V4), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #985: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V21, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V23; #940 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_u-{F}(V6), less_or_equal-{F}(V6,V5), P_additive_identity-{F}(V7), less_or_equal-{F}(V1,V7), equalish-{F}(V2,V8), P_add-{F}(V8,V6,V5), P_a-{F}(V9), P_b-{F}(V10) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1007: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V1 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23; #989 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V5,V0,V3), P_additive_identity-{F}(V6), equalish-{F}(V6,V6), less_or_equal-{F}(V4,V6), P_additive_inverse-{F}(V3,V7), defined-{F}(V7), P_u-{F}(V7), P_a-{F}(V8), P_b-{F}(V9) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1053: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #1036 ), references = 2, size of lhs = 8:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), less_or_equal-{F}(V3,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1073: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #1055 ), references = 1, size of lhs = 11:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V0,V2), P_additive_identity-{F}(V5), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1104: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V13; #1093 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), P_add-{F}(V4,V3,V1), less_or_equal-{F}(V4,V2), P_a-{F}(V5), P_b-{F}(V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1113: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #1094 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V0,V2,V1), P_multiplicative_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V1), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V0), P_add-{F}(V4,V5,V0), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1122: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #1095 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V0,V2,V1), P_multiplicative_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V1), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V0), equalish-{F}(V4,V6), P_add-{F}(V6,V5,V0), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1163: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12; #1155 ), references = 6, size of lhs = 7:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), equalish-{F}(V2,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1167: mergings( V0 == V3; #1165 ), references = 1, size of lhs = 5:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1179: mergings( V3 == V5, V5 == V7, V6 == V9; #1175 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), less_or_equal-{F}(V3,V3), P_additive_identity-{F}(V3), equalish-{F}(V3,V3), defined-{F}(V4), P_u-{F}(V4), P_add-{F}(V4,V3,V2), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1227: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18; #1213 ), references = 2, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V1), equalish-{F}(V2,V4), P_additive_identity-{F}(V4), P_add-{F}(V5,V3,V1), less_or_equal-{F}(V5,V4), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1240: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15; #1214 ), references = 2, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V0), equalish-{F}(V2,V6), P_additive_identity-{F}(V6), less_or_equal-{F}(V3,V6), equalish-{F}(V4,V7), P_add-{F}(V7,V5,V0), P_a-{F}(V8), P_b-{F}(V9) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1280: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V16, V11 == V17, V8 == V13; #1265 ), references = 3, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_u-{F}(V1), less_or_equal-{F}(V1,V1), P_add-{F}(V2,V1,V1), less_or_equal-{F}(V2,V0), P_multiplicative_identity-{F}(V3), P_a-{F}(V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1314: mergings( V3 == V5, V5 == V9, V6 == V11, V7 == V11, V8 == V9; #1306 ), references = 1, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_u-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V3), P_b-{F}(V3), P_add-{F}(V4,V2,V2), less_or_equal-{F}(V4,V3), P_multiplicative_identity-{F}(V5), P_a-{F}(V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1320: mergings( V3 == V5, V5 == V12, V6 == V14, V7 == V15, V8 == V16; #1307 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_add-{F}(V4,V3,V2), defined-{F}(V5), P_u-{F}(V5), P_additive_identity-{F}(V6), P_add-{F}(V7,V5,V2), less_or_equal-{F}(V7,V6), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_b-{F}(V10) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1370: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V17, V13 == V17, V14 == V15; #1355 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_u-{F}(V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V1), P_add-{F}(V4,V2,V2), less_or_equal-{F}(V4,V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1384: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V18, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V15, V6 == V16, V13 == V20, V14 == V21; #1356 ), references = 2, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), equalish-{F}(V2,V4), P_additive_identity-{F}(V4), P_add-{F}(V5,V3,V1), less_or_equal-{F}(V5,V4), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1398: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V19, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V15, V6 == V16, V13 == V20, V14 == V21; #1357 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V2), defined-{F}(V4), P_u-{F}(V4), P_add-{F}(V0,V4,V0), equalish-{F}(V2,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V3,V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1406: mergings( V0 == V3, V1 == V5; #1403 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_add-{F}(V2,V1,V1), less_or_equal-{F}(V2,V0), P_multiplicative_identity-{F}(V3), P_a-{F}(V3) | less_or_equal-{T}(V1,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1457: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V17, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V19, V15 == V20, V16 == V21, V1 == V13; #1440 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_u-{F}(V1), equalish-{F}(V1,V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1537: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V18; #1523 ), references = 2, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), defined-{F}(V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V2,V6), less_or_equal-{F}(V2,V7), P_add-{F}(V7,V1,V8), P_add-{F}(V9,V0,V8), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V0,V11), less_or_equal-{F}(V11,V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1549: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V16, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V17; #1524 ), references = 2, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V3), P_add-{F}(V0,V2,V3), equalish-{F}(V3,V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7), less_or_equal-{F}(V4,V8), P_add-{F}(V8,V0,V9), P_add-{F}(V10,V1,V9), less_or_equal-{F}(V10,V11), P_add-{F}(V11,V1,V12), less_or_equal-{F}(V12,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1664: mergings( V3 == V1, V1 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V11, V17 == V12; #1647 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_u-{F}(V1), P_a-{F}(V2), less_or_equal-{F}(V0,V2), P_multiplicative_identity-{F}(V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1682: mergings( V3 == V1, V1 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V11, V11 == V19, V17 == V12, V12 == V20; #1646 ), references = 1, size of lhs = 9:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), P_b-{F}(V0), defined-{F}(V1), P_u-{F}(V1), less_or_equal-{F}(V0,V2), P_multiplicative_identity-{F}(V2), P_a-{F}(V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1714: mergings( V1 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V24, V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V21, V21 == V23, V23 == V25, V3 == V8, V8 == V25, V25 == V18, V4 == V6, V6 == V24, V24 == V19; #1689 ), references = 1, size of lhs = 5:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_multiplicative_identity-{F}(V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1780: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #1765 ), references = 2, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V0,V1,V2), less_or_equal-{F}(V1,V2), equalish-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V3,V1,V2), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1793: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V6 == V8, V8 == V10, V10 == V13, V13 == V18, V14 == V19, V15 == V20; #1766 ), references = 2, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V0), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V4,V3,V1), less_or_equal-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1811: mergings( V6 == V25, V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22; #1767 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V0), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V0), less_or_equal-{F}(V0,V3), P_add-{F}(V0,V0,V3), P_add-{F}(V0,V1,V3), P_add-{F}(V4,V2,V2), less_or_equal-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1844: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V1, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19; #1829 ), references = 2, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V0,V1,V2), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V1,V2), less_or_equal-{F}(V3,V1), defined-{F}(V4), P_u-{F}(V4), P_add-{F}(V4,V1,V2), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1858: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V1, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V20; #1830 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), less_or_equal-{F}(V0,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V0), defined-{F}(V4), P_u-{F}(V4), P_add-{F}(V5,V4,V1), less_or_equal-{F}(V5,V0), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1877: mergings( V0 == V2, V1 == V7; #1873 ), references = 1, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V5), P_multiplicative_identity-{F}(V5), less_or_equal-{F}(V0,V5) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1881: mergings( V2 == V9, V0 == V9, V1 == V8; #1874 ), references = 1, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V0), defined-{F}(V2), P_add-{F}(V0,V2,V0), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V0,V6) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1899: mergings( V2 == V10, V0 == V10, V1 == V7; #1894 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V0), defined-{F}(V2), P_add-{F}(V0,V2,V0), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1903: mergings( V2 == V9, V0 == V9, V1 == V8; #1895 ), references = 1, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V0), defined-{F}(V2), P_add-{F}(V0,V2,V0), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V0,V6) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1919: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V12, V1 == V4, V4 == V6, V6 == V8; #1911 ), references = 2, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_add-{F}(V2,V1,V3), less_or_equal-{F}(V3,V0), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V5,V0,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1924: mergings( V2 == V10, V0 == V10, V1 == V7; #1920 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V0), defined-{F}(V2), P_add-{F}(V0,V2,V0), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1932: mergings( V0 == V2, V1 == V7; #1929 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7), P_add-{F}(V0,V1,V8), P_add-{F}(V9,V2,V8), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V2,V0) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1946: mergings( V0 == V2, V1 == V7; #1941 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7), P_add-{F}(V0,V1,V8), P_add-{F}(V9,V2,V8), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V2,V0) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1949: mergings( V0 == V2, V1 == V8; #1942 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V0,V6), P_add-{F}(V0,V2,V7), P_add-{F}(V8,V1,V7), less_or_equal-{F}(V8,V9), P_add-{F}(V9,V1,V0) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1968: mergings( V7 == V9, V9 == V13, V8 == V10, V10 == V11; #1963 ), references = 1, size of lhs = 19:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), defined-{F}(V5), P_u-{F}(V5), P_add-{F}(V5,V1,V6), P_add-{F}(V6,V0,V7), equalish-{F}(V7,V8), P_additive_identity-{F}(V8), less_or_equal-{F}(V4,V8), P_add-{F}(V9,V5,V5), less_or_equal-{F}(V9,V2), P_a-{F}(V10), P_b-{F}(V11) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #1976: mergings( V0 == V2, V2 == V7, V7 == V9, V1 == V8, V8 == V10, V10 == V11; #1969 ), references = 1, size of lhs = 19:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V3), defined-{F}(V6), P_u-{F}(V6), P_add-{F}(V6,V2,V7), P_add-{F}(V7,V1,V8), equalish-{F}(V8,V0), P_add-{F}(V9,V6,V6), less_or_equal-{F}(V9,V3), P_a-{F}(V10), P_b-{F}(V11) | less_or_equal-{T}(V0,V5)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2015: mergings( V3 == V9, V9 == V11, V11 == V14, V4 == V10, V10 == V12, V12 == V15; #2007 ), references = 3, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), P_add-{F}(V6,V3,V3), less_or_equal-{F}(V6,V2), equalish-{F}(V5,V7), P_additive_identity-{F}(V7), less_or_equal-{F}(V2,V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_b-{F}(V10) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2022: mergings( V3 == V9, V9 == V11, V11 == V17, V4 == V10, V10 == V12, V12 == V13; #2008 ), references = 2, size of lhs = 19:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V5,V2), defined-{F}(V6), P_u-{F}(V6), P_add-{F}(V0,V6,V7), P_add-{F}(V1,V7,V8), P_add-{F}(V9,V6,V6), less_or_equal-{F}(V9,V2), equalish-{F}(V8,V10), P_additive_identity-{F}(V10), less_or_equal-{F}(V4,V10), P_a-{F}(V11), P_b-{F}(V12) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2036: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V11, V11 == V13, V1 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V19; #2024 ), references = 4, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), equalish-{F}(V1,V4), defined-{F}(V5), P_u-{F}(V5), P_add-{F}(V2,V5,V6), P_add-{F}(V3,V6,V7), equalish-{F}(V7,V0), P_add-{F}(V8,V5,V5), less_or_equal-{F}(V8,V4), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_b-{F}(V11) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2057: mergings( V3 == V5, V5 == V7, V7 == V12, V4 == V6, V6 == V9, V9 == V13, V13 == V15, V10 == V16, V11 == V17, V8 == V14; #2046 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), less_or_equal-{F}(V7,V2), P_add-{F}(V7,V1,V8), P_add-{F}(V8,V3,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2118: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V4 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V24, V16 == V25, V17 == V26, V14 == V23; #2100 ), references = 4, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V2,V3,V1), less_or_equal-{F}(V0,V4), equalish-{F}(V0,V4), defined-{F}(V5), P_u-{F}(V5), P_add-{F}(V2,V5,V2), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), less_or_equal-{F}(V9,V3), P_add-{F}(V9,V2,V10), P_add-{F}(V10,V5,V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2132: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #2125 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), less_or_equal-{F}(V7,V2), P_add-{F}(V7,V1,V8), P_add-{F}(V8,V3,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2174: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V8, V8 == V10, V10 == V13, V13 == V20, V14 == V21, V15 == V22, V11 == V19; #2162 ), references = 2, size of lhs = 24:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_additive_identity-{F}(V3), equalish-{F}(V3,V3), equalish-{F}(V3,V2), equalish-{F}(V3,V4), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V5,V6,V4), defined-{F}(V7), P_add-{F}(V0,V7,V0), P_u-{F}(V7), P_add-{F}(V5,V7,V5), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_b-{F}(V10), less_or_equal-{F}(V11,V6), P_add-{F}(V11,V5,V12), P_add-{F}(V12,V7,V7), less_or_equal-{F}(V13,V1), P_add-{F}(V13,V0,V14), P_add-{F}(V14,V7,V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2191: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V18, V15 == V19, V16 == V20, V13 == V17; #2177 ), references = 1, size of lhs = 18:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_u-{F}(V3), P_add-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), less_or_equal-{F}(V7,V2), P_add-{F}(V7,V1,V8), P_add-{F}(V8,V3,V3), less_or_equal-{F}(V9,V2), P_add-{F}(V9,V1,V10), P_add-{F}(V10,V3,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2234: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V0, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19; #2218 ), references = 2, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2261: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V1; #2255 ), references = 1, size of lhs = 8:
% 19.84/20.07 P_multiplicative_identity-{F}(V0), defined-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V2,V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2276: mergings( V0 == V2, V1 == V7; #2273 ), references = 1, size of lhs = 13:
% 19.84/20.07 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}(V3), equalish-{F}(V3,V3), defined-{F}(V4), P_u-{F}(V4), P_add-{F}(V4,V3,V2), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | less_or_equal-{T}(V3,V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2292: mergings( V0 == V2, V1 == V8; #2288 ), references = 1, size of lhs = 18:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V2,V4,V5), equalish-{F}(V5,V0), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), less_or_equal-{F}(V0,V9), P_add-{F}(V9,V2,V10), P_add-{F}(V11,V3,V10), less_or_equal-{F}(V11,V12), P_add-{F}(V12,V3,V1) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2310: mergings( V0 == V2, V1 == V4; #2305 ), references = 1, size of lhs = 8:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), equalish-{F}(V3,V1) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2313: mergings( V0 == V2, V1 == V4; #2306 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V5), equalish-{F}(V5,V0), equalish-{F}(V3,V6), P_add-{F}(V6,V4,V5), P_a-{F}(V7), P_b-{F}(V8) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2316: mergings( V0 == V2, V1 == V4; #2307 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V5), defined-{F}(V5), P_add-{F}(V5,V4,V6), defined-{F}(V7), P_u-{F}(V7), less_or_equal-{F}(V7,V6), equalish-{F}(V3,V8), P_add-{F}(V8,V7,V6), P_a-{F}(V9), P_b-{F}(V10) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2332: mergings( V0 == V2, V1 == V4; #2327 ), references = 1, size of lhs = 8:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), equalish-{F}(V3,V1) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2335: mergings( V0 == V2, V1 == V4; #2328 ), references = 1, size of lhs = 14:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V5), equalish-{F}(V5,V0), equalish-{F}(V3,V6), P_add-{F}(V6,V4,V5), P_a-{F}(V7), P_b-{F}(V8) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2338: mergings( V0 == V2, V1 == V4; #2329 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V5), defined-{F}(V5), P_add-{F}(V5,V4,V6), defined-{F}(V7), P_u-{F}(V7), less_or_equal-{F}(V7,V6), equalish-{F}(V3,V8), P_add-{F}(V8,V7,V6), P_a-{F}(V9), P_b-{F}(V10) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2360: mergings( V0 == V3, V1 == V4, V4 == V6; #2354 ), references = 1, size of lhs = 8:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V0,V2), P_u-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2364: mergings( V0 == V3, V1 == V4, V4 == V9; #2355 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), P_multiply-{F}(V0,V0,V3), P_add-{F}(V1,V2,V3), P_add-{F}(V4,V2,V3), less_or_equal-{F}(V4,V2), defined-{F}(V5), P_u-{F}(V5), P_add-{F}(V5,V2,V3), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8) | less_or_equal-{T}(V0,V2)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2380: mergings( V0 == V2, V1 == V6; #2377 ), references = 1, size of lhs = 11:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V5,V1,V3) | less_or_equal-{T}(V0,V4)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2418: mergings( V0 == V3, V1 == V4; #2414 ), references = 1, size of lhs = 11:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_add-{F}(V4,V3,V5), less_or_equal-{F}(V5,V2), P_add-{F}(V0,V2,V5) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2421: mergings( V0 == V2, V1 == V7; #2415 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7), P_add-{F}(V0,V1,V8), P_add-{F}(V9,V2,V8), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V2,V0) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2508: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22; #2493 ), references = 4, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_u-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V3,V4), equalish-{F}(V2,V4), less_or_equal-{F}(V5,V4), P_add-{F}(V5,V3,V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_b-{F}(V9), equalish-{F}(V0,V10), P_multiply-{F}(V10,V1,V11), less_or_equal-{F}(V11,V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2530: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #2520 ), references = 2, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V0,V5), P_multiplicative_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), P_add-{F}(V7,V6,V8), P_additive_identity-{F}(V9), equalish-{F}(V3,V10), P_multiply-{F}(V10,V2,V11), equalish-{F}(V11,V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2574: mergings( V3 == V5, V5 == V12, V12 == V14, V14 == V16, V16 == V24, V4 == V6, V6 == V13, V13 == V15, V15 == V17, V17 == V19; #2563 ), references = 1, size of lhs = 25:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), less_or_equal-{F}(V4,V4), defined-{F}(V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), equalish-{F}(V6,V7), defined-{F}(V8), P_multiplicative_identity-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V7), defined-{F}(V10), P_u-{F}(V10), P_add-{F}(V6,V10,V10), P_add-{F}(V2,V10,V11), P_add-{F}(V4,V11,V12), equalish-{F}(V12,V13), P_additive_identity-{F}(V13), less_or_equal-{F}(V9,V13), P_a-{F}(V14), P_b-{F}(V15) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2616: mergings( V7 == V14, V14 == V16, V16 == V27, V8 == V15, V15 == V17, V17 == V23; #2609 ), references = 2, size of lhs = 29:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V0), defined-{F}(V8), P_multiply-{F}(V8,V6,V5), P_add-{F}(V8,V7,V9), P_multiply-{F}(V9,V6,V10), defined-{F}(V11), defined-{F}(V12), P_multiply-{F}(V12,V11,V13), defined-{F}(V13), defined-{F}(V14), P_multiply-{F}(V14,V12,V15), P_multiply-{F}(V15,V11,V16), P_multiplicative_identity-{F}(V16), defined-{F}(V17), P_additive_inverse-{F}(V17,V18), defined-{F}(V18), P_add-{F}(V18,V17,V19), equalish-{F}(V10,V19), P_additive_identity-{F}(V20), equalish-{F}(V14,V21), P_multiply-{F}(V21,V13,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2635: mergings( V3 == V14, V14 == V34, V4 == V15, V15 == V31; #2630 ), references = 1, size of lhs = 41:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_add-{F}(V7,V2,V8), defined-{F}(V9), P_add-{F}(V9,V7,V4), P_add-{F}(V9,V8,V10), defined-{F}(V11), defined-{F}(V12), P_add-{F}(V12,V11,V13), defined-{F}(V14), P_add-{F}(V14,V13,V15), P_add-{F}(V14,V12,V16), defined-{F}(V17), defined-{F}(V18), P_multiply-{F}(V18,V17,V11), defined-{F}(V19), P_multiply-{F}(V19,V17,V16), P_add-{F}(V19,V18,V20), P_multiply-{F}(V20,V17,V10), defined-{F}(V21), defined-{F}(V22), P_multiply-{F}(V22,V21,V23), defined-{F}(V23), defined-{F}(V24), P_multiply-{F}(V24,V22,V25), P_multiply-{F}(V25,V21,V26), P_multiplicative_identity-{F}(V26), defined-{F}(V27), P_additive_inverse-{F}(V27,V28), defined-{F}(V28), P_add-{F}(V28,V27,V6), P_additive_identity-{F}(V29), equalish-{F}(V24,V30), P_multiply-{F}(V30,V23,V15) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2641: mergings( V3 == V16, V16 == V36, V4 == V17, V17 == V33; #2636 ), references = 1, size of lhs = 41:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_add-{F}(V7,V2,V8), defined-{F}(V9), P_add-{F}(V9,V7,V4), P_add-{F}(V9,V8,V10), defined-{F}(V11), defined-{F}(V12), P_add-{F}(V12,V11,V13), defined-{F}(V14), P_add-{F}(V14,V13,V15), P_add-{F}(V14,V12,V16), defined-{F}(V17), defined-{F}(V18), P_multiply-{F}(V18,V17,V11), defined-{F}(V19), P_multiply-{F}(V19,V17,V16), P_add-{F}(V19,V18,V20), P_multiply-{F}(V20,V17,V10), defined-{F}(V21), defined-{F}(V22), P_multiply-{F}(V22,V21,V23), defined-{F}(V23), defined-{F}(V24), P_multiply-{F}(V24,V22,V25), P_multiply-{F}(V25,V21,V26), P_multiplicative_identity-{F}(V26), defined-{F}(V27), P_additive_inverse-{F}(V27,V28), defined-{F}(V28), P_add-{F}(V28,V27,V6), P_additive_identity-{F}(V29), equalish-{F}(V24,V30), P_multiply-{F}(V30,V23,V15) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2693: mergings( V7 == V14, V14 == V16, V16 == V18, V18 == V20, V6 == V8, V8 == V15, V15 == V17, V17 == V19; #2682 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V3,V1,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V0), defined-{F}(V8), P_multiply-{F}(V8,V6,V5), P_add-{F}(V8,V7,V9), P_multiply-{F}(V9,V6,V10), P_additive_identity-{F}(V11), equalish-{F}(V10,V11) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2702: mergings( V7 == V14, V14 == V16, V16 == V18, V18 == V26, V8 == V15, V15 == V17, V17 == V19, V19 == V25; #2683 ), references = 1, size of lhs = 23:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V0), defined-{F}(V8), P_multiply-{F}(V8,V6,V5), P_add-{F}(V8,V7,V9), P_multiply-{F}(V9,V6,V10), defined-{F}(V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V13), defined-{F}(V13), P_add-{F}(V13,V12,V14), P_multiply-{F}(V4,V11,V14), equalish-{F}(V10,V15), P_multiply-{F}(V15,V11,V16), P_multiplicative_identity-{F}(V16), P_additive_identity-{F}(V17) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2711: mergings( V7 == V14, V14 == V16, V16 == V18, V18 == V22, V6 == V8, V8 == V15, V15 == V17, V17 == V19; #2684 ), references = 1, size of lhs = 21:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V3,V1,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V0), defined-{F}(V8), P_multiply-{F}(V8,V6,V5), P_add-{F}(V8,V7,V9), P_multiply-{F}(V9,V6,V10), equalish-{F}(V10,V11), defined-{F}(V12), P_multiply-{F}(V12,V4,V11), P_additive_identity-{F}(V13), less_or_equal-{F}(V12,V13), less_or_equal-{F}(V13,V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2786: mergings( V3 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V0 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V24 == V25, V1 == V26, V9 == V21; #2765 ), references = 2, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V2), less_or_equal-{F}(V4,V2), P_add-{F}(V4,V3,V5), P_multiply-{F}(V3,V0,V6), less_or_equal-{F}(V6,V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2828: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V13, V0 == V5, V5 == V7, V7 == V9, V9 == V17; #2819 ), references = 3, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), equalish-{F}(V0,V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V0,V3), defined-{F}(V4), P_u-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V4,V5), equalish-{F}(V3,V5), less_or_equal-{F}(V6,V5), P_add-{F}(V6,V4,V7), less_or_equal-{F}(V8,V7), equalish-{F}(V8,V2), P_a-{F}(V9), P_b-{F}(V10) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2837: mergings( V0 == V3, V1 == V8; #2834 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V2,V4,V5), equalish-{F}(V5,V1), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), P_add-{F}(V0,V2,V9), P_add-{F}(V1,V3,V9), P_add-{F}(V0,V3,V10), less_or_equal-{F}(V10,V1) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2885: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #2865 ), references = 2, size of lhs = 19:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V1,V3), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V3), P_additive_identity-{F}(V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V4), less_or_equal-{F}(V6,V4), P_add-{F}(V6,V5,V7), less_or_equal-{F}(V8,V7), equalish-{F}(V8,V2), P_a-{F}(V9), P_b-{F}(V10) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2904: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V27; #2866 ), references = 2, size of lhs = 19:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V1,V3), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V3), P_additive_identity-{F}(V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V4), less_or_equal-{F}(V6,V4), P_add-{F}(V6,V5,V7), less_or_equal-{F}(V8,V7), equalish-{F}(V8,V2), P_a-{F}(V9), P_b-{F}(V10) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2942: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15; #2929 ), references = 1, size of lhs = 18:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_a-{F}(V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V3), less_or_equal-{F}(V4,V1), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V4), P_multiply-{F}(V5,V1,V2), less_or_equal-{F}(V6,V4), P_add-{F}(V6,V5,V7), less_or_equal-{F}(V8,V7), equalish-{F}(V8,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #2955: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V1; #2943 ), references = 3, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V2), less_or_equal-{F}(V4,V2), P_add-{F}(V4,V3,V5), less_or_equal-{F}(V6,V5), equalish-{F}(V6,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3012: mergings( V0 == V2, V1 == V7; #3008 ), references = 1, size of lhs = 13:
% 19.84/20.07 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}(V3), equalish-{F}(V3,V3), defined-{F}(V4), P_u-{F}(V4), P_add-{F}(V4,V3,V2), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7) | less_or_equal-{T}(V3,V3)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3015: mergings( V0 == V2, V1 == V10; #3009 ), references = 1, size of lhs = 18:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V6), defined-{F}(V6), P_add-{F}(V6,V5,V4), defined-{F}(V7), P_u-{F}(V7), P_add-{F}(V1,V7,V4), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_b-{F}(V10) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3045: mergings( V0 == V2, V1 == V4; #3041 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_a-{F}(V2), less_or_equal-{F}(V0,V2), defined-{F}(V3), P_b-{F}(V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V0), P_add-{F}(V1,V4,V5), P_multiply-{F}(V4,V2,V6), less_or_equal-{F}(V6,V5) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3133: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21; #3114 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V2), less_or_equal-{F}(V0,V4), less_or_equal-{F}(V4,V2), P_additive_identity-{F}(V4), defined-{F}(V5), P_u-{F}(V5), P_add-{F}(V6,V5,V3), less_or_equal-{F}(V6,V2), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3138: mergings( V0 == V3, V1 == V8; #3134 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V2,V4,V5), equalish-{F}(V5,V1), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), P_add-{F}(V0,V2,V9), P_add-{F}(V1,V3,V9), P_add-{F}(V0,V3,V10), less_or_equal-{F}(V10,V1) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3141: mergings( V0 == V3, V1 == V9; #3135 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), defined-{F}(V6), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V6,V5,V7), P_multiplicative_identity-{F}(V7), less_or_equal-{F}(V1,V7), P_add-{F}(V0,V3,V8), P_add-{F}(V1,V2,V8), P_add-{F}(V0,V2,V9), less_or_equal-{F}(V9,V1) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3179: mergings( V0 == V3, V1 == V4; #3174 ), references = 1, size of lhs = 11:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_add-{F}(V4,V3,V5), less_or_equal-{F}(V5,V2), P_add-{F}(V0,V2,V5) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3182: mergings( V0 == V2, V1 == V7; #3175 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V0), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7), P_add-{F}(V0,V1,V8), P_add-{F}(V9,V2,V8), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V2,V0) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3186: mergings( V2 == V9, V0 == V9, V1 == V8; #3176 ), references = 1, size of lhs = 13:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V0), defined-{F}(V2), P_add-{F}(V0,V2,V0), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V0,V6) | less_or_equal-{T}(V0,V0)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3195: mergings( V0 == V3, V1 == V8; #3191 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_u-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V2,V4,V5), equalish-{F}(V5,V1), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), P_add-{F}(V0,V2,V9), P_add-{F}(V1,V3,V9), P_add-{F}(V0,V3,V10), less_or_equal-{F}(V10,V1) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3198: mergings( V0 == V3, V1 == V9; #3192 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), defined-{F}(V6), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V6,V5,V7), P_multiplicative_identity-{F}(V7), less_or_equal-{F}(V1,V7), P_add-{F}(V0,V3,V8), P_add-{F}(V1,V2,V8), P_add-{F}(V0,V2,V9), less_or_equal-{F}(V9,V1) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3211: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V7; #3204 ), references = 2, size of lhs = 18:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_a-{F}(V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), P_b-{F}(V4), less_or_equal-{F}(V0,V4), defined-{F}(V5), P_u-{F}(V5), less_or_equal-{F}(V5,V0), P_add-{F}(V1,V5,V6), P_add-{F}(V0,V2,V6), P_add-{F}(V1,V2,V7), equalish-{F}(V7,V5) | less_or_equal-{T}(V0,V1)
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3222: mergings( V0 == V5, V3 == V6, V6 == V7, V4 == V8; #3217 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_a-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V0,V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3241: mergings( V1 == V12, V12 == V13, V2 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V15, V3 == V8, V8 == V10, V10 == V15, V4 == V6, V6 == V11, V11 == V16; #3227 ), references = 1, size of lhs = 7:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_b-{F}(V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3257: mergings( V1 == V4, V4 == V12, V12 == V13, V2 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V14, V14 == V15, V3 == V6, V6 == V9, V9 == V11, V11 == V15; #3243 ), references = 1, size of lhs = 5:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_a-{F}(V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3328: mergings( V3 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V15, V4 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V0 == V19, V19 == V24, V1 == V20, V20 == V25, V5 == V17, V17 == V23; #3309 ), references = 1, size of lhs = 17:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_a-{F}(V4), P_multiply-{F}(V3,V2,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V5), P_multiply-{F}(V7,V6,V8), defined-{F}(V8), P_u-{F}(V8), P_add-{F}(V8,V8,V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3347: mergings( V3 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V15, V4 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V0 == V19, V19 == V25, V1 == V20, V20 == V26, V5 == V17, V17 == V23, V23 == V21, V21 == V27; #3310 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_a-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V6), equalish-{F}(V5,V6), defined-{F}(V7), P_u-{F}(V7), P_add-{F}(V7,V7,V7), P_multiplicative_identity-{F}(V8) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3368: mergings( V3 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V15, V4 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V0 == V19, V19 == V25, V1 == V20, V20 == V26, V5 == V17, V17 == V23, V23 == V21, V21 == V22, V22 == V27, V27 == V28; #3311 ), references = 1, size of lhs = 15:
% 19.84/20.07 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_a-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), equalish-{F}(V5,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_u-{F}(V6), P_add-{F}(V6,V6,V6), P_multiplicative_identity-{F}(V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3442: mergings( V4 == V0, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V17 == V24, V1 == V25, V6 == V21; #3421 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V0), equalish-{F}(V3,V4), less_or_equal-{F}(V5,V0), P_add-{F}(V5,V3,V6), less_or_equal-{F}(V4,V6) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3461: mergings( V4 == V0, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V3 == V5, V5 == V1, V1 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V17 == V23, V18 == V24, V6 == V20; #3422 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V1), less_or_equal-{F}(V0,V1), P_multiplicative_identity-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V0), equalish-{F}(V2,V3), less_or_equal-{F}(V4,V0), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V3,V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3480: mergings( V4 == V0, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V3 == V5, V5 == V1, V1 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V17 == V23, V18 == V24, V6 == V20; #3423 ), references = 1, size of lhs = 16:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V1), less_or_equal-{F}(V0,V1), P_multiplicative_identity-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V0), equalish-{F}(V2,V3), less_or_equal-{F}(V4,V0), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V3,V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3515: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V6, V6 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V24, V22 == V25, V11 == V26; #3490 ), references = 2, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_u-{F}(V3), less_or_equal-{F}(V3,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3538: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V22 == V24, V23 == V25; #3491 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V1), less_or_equal-{F}(V0,V1), P_multiplicative_identity-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3561: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V22 == V24, V23 == V25; #3492 ), references = 1, size of lhs = 12:
% 19.84/20.07 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V1), less_or_equal-{F}(V0,V1), P_multiplicative_identity-{F}(V1), P_b-{F}(V1), defined-{F}(V2), P_u-{F}(V2), less_or_equal-{F}(V2,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3609: mergings( V1 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V2 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V33, V3 == V8, V8 == V10, V10 == V31, V31 == V34, V4 == V6, V6 == V11, V11 == V20, V20 == V35; #3574 ), references = 2, size of lhs = 7:
% 19.84/20.07 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3618: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #3613 ), references = 2, size of lhs = 7:
% 19.84/20.07 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_add-{F}(V4,V0,V3), equalish-{F}(V4,V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3644: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V5 == V7, V7 == V9, V9 == V12; #3635 ), references = 1, size of lhs = 8:
% 19.84/20.07 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V3), P_add-{F}(V0,V2,V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3692: mergings( V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #3676 ), references = 1, size of lhs = 8:
% 19.84/20.07 P_a-{F}(V0), P_b-{F}(V1), P_u-{F}(V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V1), less_or_equal-{F}(V3,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3709: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V0 == V18, V18 == V1; #3677 ), references = 1, size of lhs = 8:
% 19.84/20.07 P_b-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V0), P_u-{F}(V1), less_or_equal-{F}(V1,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3727: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V0 == V18, V18 == V1, V17 == V19; #3678 ), references = 1, size of lhs = 9:
% 19.84/20.07 P_b-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V0), less_or_equal-{F}(V0,V0), P_multiplicative_identity-{F}(V1), defined-{F}(V1), P_u-{F}(V1), less_or_equal-{F}(V1,V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3777: mergings( V4 == V7, V7 == V9, V9 == V11, V11 == V19, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V18; #3765 ), references = 1, size of lhs = 16:
% 19.84/20.07 P_a-{F}(V0), P_b-{F}(V1), P_u-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), defined-{F}(V6), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V6,V5,V7), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V3,V8), less_or_equal-{F}(V8,V1), less_or_equal-{F}(V8,V0), less_or_equal-{F}(V2,V9), P_multiply-{F}(V9,V9,V7) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3792: mergings( V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V23; #3766 ), references = 1, size of lhs = 21:
% 19.84/20.07 P_a-{F}(V0), P_b-{F}(V1), P_u-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V1), less_or_equal-{F}(V5,V0), equalish-{F}(V5,V6), less_or_equal-{F}(V2,V7), P_multiply-{F}(V7,V7,V8), P_multiplicative_identity-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V4,V10), defined-{F}(V11), P_multiply-{F}(V11,V9,V8), P_multiply-{F}(V11,V10,V8), P_add-{F}(V7,V4,V12), P_add-{F}(V6,V3,V12), P_add-{F}(V7,V3,V13), less_or_equal-{F}(V13,V5) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3860: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V16, V16 == V20, V20 == V22, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V21, V21 == V23, V23 == V24, V0 == V18, V1 == V19; #3840 ), references = 2, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V2), P_b-{F}(V2), less_or_equal-{F}(V1,V3), P_a-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3882: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V16, V16 == V20, V20 == V22, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V21, V21 == V23, V23 == V24, V0 == V18, V18 == V25, V1 == V19, V19 == V26; #3839 ), references = 1, size of lhs = 10:
% 19.84/20.07 defined-{F}(V0), P_u-{F}(V0), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V2), P_b-{F}(V2), less_or_equal-{F}(V1,V3), P_a-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3919: mergings( V1 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V27, V27 == V29, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V28, V28 == V30, V30 == V31, V3 == V9, V9 == V22, V22 == V25, V4 == V6, V6 == V10, V10 == V25, V25 == V26; #3889 ), references = 1, size of lhs = 6:
% 19.84/20.07 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3955: mergings( V1 == V9, V2 == V5, V5 == V7, V7 == V10, V10 == V15, V3 == V8, V8 == V11, V11 == V14, V4 == V6, V6 == V12, V12 == V13; #3942 ), references = 1, size of lhs = 6:
% 19.84/20.07 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3966: mergings( V1 == V7, V2 == V4, V4 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V9 == V10; #3956 ), references = 1, size of lhs = 5:
% 19.84/20.07 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3974: mergings( V1 == V5, V2 == V3, V3 == V4, V4 == V6, V6 == V7; #3967 ), references = 1, size of lhs = 4:
% 19.84/20.07 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3983: mergings( V1 == V2, V2 == V3; #3979 ), references = 1, size of lhs = 1:
% 19.84/20.07 P_additive_identity-{F}(V0) | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 #3986: exists( #35, #3979 ), references = 1, size of lhs = 0:
% 19.84/20.07 FALSE | FALSE
% 19.84/20.07 (used 0 times, uses = {})
% 19.84/20.07
% 19.84/20.07 number of learnt formulas = 149
% 19.84/20.07
% 19.84/20.07
% 19.84/20.07 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/20.07
% 19.84/20.07 randbase = 1
%------------------------------------------------------------------------------