TSTP Solution File: FLD031-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD031-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:01:07 EDT 2022
% Result : Unsatisfiable 43.22s 43.46s
% Output : Refutation 43.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD031-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 10:10:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 43.22/43.46 GeoParameters:
% 43.22/43.46
% 43.22/43.46 tptp_input = 1
% 43.22/43.46 tptp_output = 0
% 43.22/43.46 nonempty = 1
% 43.22/43.46 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/43.46 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 43.22/43.46
% 43.22/43.46
% 43.22/43.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/43.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/43.46
% 43.22/43.46 RuleSystem INPUT:
% 43.22/43.46
% 43.22/43.46 Initial Rules:
% 43.22/43.46 #0: input, references = 19, size of lhs = 7:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1: input, references = 23, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2: input, references = 9, size of lhs = 4:
% 43.22/43.46 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3: input, references = 27, size of lhs = 5:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #4: input, references = 6, size of lhs = 8:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #5: input, references = 19, size of lhs = 4:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #6: input, references = 5, size of lhs = 5:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #7: input, references = 9, size of lhs = 6:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #8: input, references = 8, size of lhs = 10:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #9: input, references = 3, size of lhs = 5:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #10: input, references = 3, size of lhs = 2:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #11: input, references = 3, size of lhs = 4:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #12: input, references = 10, size of lhs = 5:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #13: input, references = 3, size of lhs = 2:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #14: input, references = 5, size of lhs = 4:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #15: input, references = 18, size of lhs = 4:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #16: input, references = 32, size of lhs = 4:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #17: input, references = 11, size of lhs = 4:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #18: input, references = 29, size of lhs = 6:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #19: input, references = 11, size of lhs = 5:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #20: input, references = 3, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #21: input, references = 86, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #22: input, references = 80, size of lhs = 4:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #23: input, references = 20, size of lhs = 6:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #24: input, references = 12, size of lhs = 6:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #25: input, references = 35, size of lhs = 4:
% 43.22/43.46 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)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #26: input, references = 5, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #27: input, references = 4, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #28: input, references = 4, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | equalish-{T}(V2,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #29: input, references = 11, size of lhs = 4:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #30: input, references = 6, size of lhs = 5:
% 43.22/43.46 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_multiplicative_inverse-{F}(V2,V3), equalish-{F}(V3,V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #31: input, references = 33, size of lhs = 2:
% 43.22/43.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #32: input, references = 4, size of lhs = 0:
% 43.22/43.46 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #33: input, references = 3, size of lhs = 1:
% 43.22/43.46 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #34: input, references = 21, size of lhs = 2:
% 43.22/43.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #35: input, references = 4, size of lhs = 0:
% 43.22/43.46 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #36: input, references = 5, size of lhs = 1:
% 43.22/43.46 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #37: input, references = 4, size of lhs = 0:
% 43.22/43.46 FALSE | EXISTS V0: P_a-{T}(V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 number of initial rules = 38
% 43.22/43.46
% 43.22/43.46 Simplifiers:
% 43.22/43.46 #38: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #39: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #40: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #41: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #42: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #43: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #44: unsound, references = 3, size of lhs = 3:
% 43.22/43.46 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 number of simplifiers = 7
% 43.22/43.46
% 43.22/43.46 Learnt:
% 43.22/43.46 #69: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #63 ), references = 1, size of lhs = 6:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #83: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #78 ), references = 4, size of lhs = 8:
% 43.22/43.46 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V5,V1,V4), equalish-{F}(V5,V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #97: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V11; #90 ), references = 1, size of lhs = 10:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_add-{F}(V1,V3,V5) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #113: mergings( V3 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V15; #106 ), references = 1, size of lhs = 12:
% 43.22/43.46 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_a-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #174: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #162 ), references = 2, size of lhs = 6:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #185: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #163 ), references = 2, size of lhs = 8:
% 43.22/43.46 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), P_a-{F}(V4), P_multiplicative_inverse-{F}(V4,V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #223: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V14; #214 ), references = 5, size of lhs = 9:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), equalish-{F}(V3,V6) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #268: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21; #254 ), references = 6, size of lhs = 14:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), equalish-{F}(V6,V7), P_add-{F}(V7,V5,V4), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), equalish-{F}(V3,V10) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #280: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #255 ), references = 2, size of lhs = 11:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), equalish-{F}(V3,V5), defined-{F}(V6), P_additive_identity-{F}(V6), P_multiply-{F}(V6,V5,V4) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #292: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #256 ), references = 1, size of lhs = 13:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), equalish-{F}(V3,V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V4), P_additive_identity-{F}(V7), P_a-{F}(V8), P_multiplicative_inverse-{F}(V8,V6) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #305: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18; #293 ), references = 12, size of lhs = 11:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V1), equalish-{F}(V4,V0), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), equalish-{F}(V3,V7) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #352: mergings( V0 == V4, V4 == V7, V7 == V9, V1 == V5, V5 == V8, V8 == V11; #344 ), references = 1, size of lhs = 9:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V3,V4), P_a-{F}(V4), P_add-{F}(V0,V2,V4), P_multiplicative_identity-{F}(V5) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #359: mergings( V0 == V4, V4 == V7, V7 == V12, V1 == V5, V5 == V8, V8 == V13; #345 ), references = 1, size of lhs = 13:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V3,V4), P_add-{F}(V0,V2,V4), P_additive_inverse-{F}(V3,V5), defined-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_add-{F}(V4,V5,V8) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #394: mergings( V7 == V11, V8 == V12; #391 ), references = 7, size of lhs = 14:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V2), P_add-{F}(V1,V0,V3), defined-{F}(V4), P_add-{F}(V0,V4,V5), P_add-{F}(V1,V5,V2), defined-{F}(V6), equalish-{F}(V6,V3), defined-{F}(V7), P_additive_inverse-{F}(V7,V6), equalish-{F}(V7,V4), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #476: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #460 ), references = 1, size of lhs = 12:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_add-{F}(V0,V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), less_or_equal-{F}(V2,V5), P_add-{F}(V5,V0,V6), P_add-{F}(V6,V1,V4), less_or_equal-{F}(V6,V7), P_add-{F}(V8,V0,V7), less_or_equal-{F}(V8,V2) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #490: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18; #461 ), references = 1, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V2,V0), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), less_or_equal-{F}(V3,V6), P_add-{F}(V6,V1,V7), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V5), less_or_equal-{F}(V7,V9), P_add-{F}(V10,V1,V9), less_or_equal-{F}(V10,V3) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #504: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21; #462 ), references = 2, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V5,V3,V2), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), less_or_equal-{F}(V6,V9), P_add-{F}(V9,V1,V10), P_add-{F}(V10,V0,V11), equalish-{F}(V11,V8), less_or_equal-{F}(V10,V12), P_add-{F}(V13,V1,V12), less_or_equal-{F}(V13,V6) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #517: mergings( V0 == V2, V1 == V7; #513 ), references = 1, size of lhs = 16:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), equalish-{F}(V4,V2), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), less_or_equal-{F}(V0,V7), P_add-{F}(V7,V3,V8), P_add-{F}(V8,V2,V9), equalish-{F}(V9,V6), less_or_equal-{F}(V8,V10), P_add-{F}(V1,V3,V10) | less_or_equal-{T}(V0,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #520: mergings( V0 == V2, V1 == V10; #514 ), references = 1, size of lhs = 19:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V2,V3,V4), defined-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), equalish-{F}(V6,V7), P_add-{F}(V7,V5,V4), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), less_or_equal-{F}(V0,V10), P_add-{F}(V10,V3,V11), P_add-{F}(V11,V2,V12), equalish-{F}(V12,V9), less_or_equal-{F}(V11,V13), P_add-{F}(V1,V3,V13) | less_or_equal-{T}(V0,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #572: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V23; #556 ), references = 3, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V3,V0), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V5), P_a-{F}(V5), P_add-{F}(V6,V1,V5), less_or_equal-{F}(V6,V0), defined-{F}(V7), P_additive_inverse-{F}(V7,V3), equalish-{F}(V7,V1), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #586: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V25, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V26; #557 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V3,V0), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V5), P_a-{F}(V5), P_add-{F}(V6,V1,V5), less_or_equal-{F}(V6,V0), P_add-{F}(V1,V3,V7), defined-{F}(V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V10), P_add-{F}(V10,V8,V7), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #600: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19; #558 ), references = 1, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V3,V0), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V5), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V6,V1,V5), less_or_equal-{F}(V6,V0), P_add-{F}(V1,V3,V7), defined-{F}(V8), P_additive_identity-{F}(V8), P_multiply-{F}(V8,V5,V7) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #638: mergings( V0 == V3, V3 == V9, V9 == V11, V11 == V16, V4 == V10, V10 == V12, V12 == V17; #628 ), references = 1, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), defined-{F}(V6), P_add-{F}(V5,V6,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V3), equalish-{F}(V8,V6), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), equalish-{F}(V7,V10) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #646: mergings( V0 == V3, V3 == V9, V9 == V11, V11 == V19, V4 == V10, V10 == V12, V12 == V20; #629 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), defined-{F}(V6), P_add-{F}(V5,V6,V7), P_add-{F}(V6,V3,V8), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), equalish-{F}(V10,V11), P_add-{F}(V11,V9,V8), P_multiplicative_identity-{F}(V12), P_a-{F}(V13), equalish-{F}(V7,V13) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #654: mergings( V0 == V3, V3 == V9, V9 == V11, V11 == V19, V4 == V10, V10 == V12, V12 == V20; #630 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V6,V5), P_a-{F}(V8), defined-{F}(V9), P_add-{F}(V6,V9,V10), P_add-{F}(V7,V10,V8), defined-{F}(V11), P_additive_inverse-{F}(V11,V3), equalish-{F}(V11,V9), P_multiplicative_identity-{F}(V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #660: mergings( V0 == V10, V1 == V11; #655 ), references = 1, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), equalish-{F}(V4,V1), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V6), P_a-{F}(V6), P_add-{F}(V0,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V4), equalish-{F}(V7,V2), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #663: mergings( V0 == V13, V1 == V14; #656 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), equalish-{F}(V4,V1), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V6), P_a-{F}(V6), P_add-{F}(V0,V2,V6), P_add-{F}(V2,V4,V7), defined-{F}(V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V10), P_add-{F}(V10,V8,V7), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #666: mergings( V0 == V10, V1 == V8; #657 ), references = 1, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), equalish-{F}(V4,V1), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V6), defined-{F}(V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V0,V2,V6), P_add-{F}(V2,V4,V7), defined-{F}(V8), P_additive_identity-{F}(V8), P_multiply-{F}(V8,V6,V7) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #699: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V21, V4 == V10, V10 == V12, V12 == V14, V14 == V22; #689 ), references = 2, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V3), P_a-{F}(V7), defined-{F}(V8), P_add-{F}(V5,V8,V9), P_add-{F}(V6,V9,V7), defined-{F}(V10), P_additive_inverse-{F}(V10,V4), equalish-{F}(V10,V8), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #776: mergings( V7 == V10, V8 == V11; #771 ), references = 1, size of lhs = 12:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V2), P_add-{F}(V1,V0,V3), defined-{F}(V4), P_add-{F}(V0,V4,V5), P_add-{F}(V1,V5,V2), defined-{F}(V6), P_additive_inverse-{F}(V6,V4), equalish-{F}(V6,V3), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #781: mergings( V3 == V10, V10 == V11, V4 == V12, V12 == V13; #772 ), references = 1, size of lhs = 11:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), P_a-{F}(V4), P_add-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_add-{F}(V6,V0,V7), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #786: mergings( V3 == V11, V11 == V14, V4 == V12, V12 == V15; #773 ), references = 1, size of lhs = 15:
% 43.22/43.46 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), equalish-{F}(V5,V6), P_add-{F}(V6,V0,V7), defined-{F}(V7), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_a-{F}(V11), P_add-{F}(V4,V8,V11) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #863: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20; #845 ), references = 1, size of lhs = 16:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V2,V0), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), less_or_equal-{F}(V3,V6), P_add-{F}(V6,V1,V7), less_or_equal-{F}(V7,V8), P_add-{F}(V8,V0,V9), equalish-{F}(V9,V5), less_or_equal-{F}(V8,V10), P_add-{F}(V11,V1,V10), less_or_equal-{F}(V11,V3) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #879: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V23; #846 ), references = 2, size of lhs = 19:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V5,V3,V2), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), less_or_equal-{F}(V6,V9), P_add-{F}(V9,V1,V10), less_or_equal-{F}(V10,V11), P_add-{F}(V11,V0,V12), equalish-{F}(V12,V8), less_or_equal-{F}(V11,V13), P_add-{F}(V14,V1,V13), less_or_equal-{F}(V14,V6) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #895: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V29; #847 ), references = 2, size of lhs = 19:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V2), P_add-{F}(V1,V0,V3), less_or_equal-{F}(V3,V4), defined-{F}(V5), P_add-{F}(V6,V5,V4), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V8), P_add-{F}(V8,V5,V9), less_or_equal-{F}(V9,V3), defined-{F}(V10), P_add-{F}(V0,V10,V11), P_add-{F}(V1,V11,V2), defined-{F}(V12), P_additive_inverse-{F}(V12,V5), equalish-{F}(V12,V10), P_multiplicative_identity-{F}(V13) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #935: mergings( V7 == V9, V9 == V11, V11 == V16, V10 == V12, V12 == V17; #927 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_add-{F}(V2,V3,V6), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V5,V7,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V6), equalish-{F}(V9,V7), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), P_a-{F}(V12), equalish-{F}(V8,V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #941: mergings( V7 == V9, V9 == V11, V11 == V19, V10 == V12, V12 == V20; #928 ), references = 1, size of lhs = 21:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_add-{F}(V2,V3,V6), defined-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_add-{F}(V8,V7,V5), P_a-{F}(V9), defined-{F}(V10), P_add-{F}(V7,V10,V11), P_add-{F}(V8,V11,V9), defined-{F}(V12), P_additive_inverse-{F}(V12,V6), equalish-{F}(V12,V10), P_additive_identity-{F}(V13), P_multiplicative_identity-{F}(V14) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #947: mergings( V7 == V9, V9 == V11, V11 == V22, V10 == V12, V12 == V23; #929 ), references = 1, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_add-{F}(V2,V3,V6), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V5,V7,V8), P_add-{F}(V7,V6,V9), defined-{F}(V9), defined-{F}(V10), defined-{F}(V11), P_add-{F}(V11,V10,V8), P_a-{F}(V12), defined-{F}(V13), P_add-{F}(V10,V13,V14), P_add-{F}(V11,V14,V12), defined-{F}(V15), P_additive_inverse-{F}(V15,V9), equalish-{F}(V15,V13), P_additive_identity-{F}(V16), P_multiplicative_identity-{F}(V17) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1001: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V18, V10 == V12, V12 == V14, V14 == V19; #991 ), references = 2, size of lhs = 19:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_add-{F}(V2,V3,V6), defined-{F}(V7), defined-{F}(V8), equalish-{F}(V6,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V7), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), P_a-{F}(V12), P_add-{F}(V5,V7,V13), equalish-{F}(V13,V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1009: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V22, V10 == V12, V12 == V14, V14 == V23; #992 ), references = 1, size of lhs = 22:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_add-{F}(V2,V3,V6), defined-{F}(V7), defined-{F}(V8), P_add-{F}(V8,V7,V5), P_a-{F}(V9), defined-{F}(V10), P_add-{F}(V7,V10,V11), P_add-{F}(V8,V11,V9), defined-{F}(V12), equalish-{F}(V6,V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V12), equalish-{F}(V13,V10), P_additive_identity-{F}(V14), P_multiplicative_identity-{F}(V15) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1017: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V22, V10 == V12, V12 == V14, V14 == V23; #993 ), references = 2, size of lhs = 23:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V0,V3), P_add-{F}(V2,V4,V6), defined-{F}(V7), P_add-{F}(V7,V3,V8), defined-{F}(V9), equalish-{F}(V6,V9), less_or_equal-{F}(V8,V10), less_or_equal-{F}(V10,V11), P_a-{F}(V11), P_add-{F}(V12,V7,V11), less_or_equal-{F}(V12,V3), defined-{F}(V13), P_additive_inverse-{F}(V13,V9), equalish-{F}(V13,V7), P_additive_identity-{F}(V14), P_multiplicative_identity-{F}(V15) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1032: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V16, V9 == V11, V11 == V13, V13 == V17; #1021 ), references = 1, size of lhs = 16:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V0), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V4), equalish-{F}(V7,V3), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V6,V3,V10), equalish-{F}(V10,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1041: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V20, V9 == V11, V11 == V13, V13 == V21; #1022 ), references = 1, size of lhs = 19:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V0), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), P_a-{F}(V6), defined-{F}(V7), P_add-{F}(V3,V7,V8), P_add-{F}(V4,V8,V6), defined-{F}(V9), P_add-{F}(V9,V2,V10), P_add-{F}(V10,V1,V5), defined-{F}(V11), P_additive_inverse-{F}(V11,V9), equalish-{F}(V11,V7), P_multiplicative_identity-{F}(V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1050: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V20, V9 == V11, V11 == V13, V13 == V21; #1023 ), references = 1, size of lhs = 20:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V0), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_add-{F}(V6,V2,V7), P_add-{F}(V7,V1,V3), less_or_equal-{F}(V5,V8), less_or_equal-{F}(V8,V9), P_a-{F}(V9), P_add-{F}(V10,V4,V9), less_or_equal-{F}(V10,V3), defined-{F}(V11), P_additive_inverse-{F}(V11,V6), equalish-{F}(V11,V4), P_multiplicative_identity-{F}(V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1196: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V30, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V31; #1176 ), references = 6, size of lhs = 22:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V0,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), defined-{F}(V6), less_or_equal-{F}(V5,V7), less_or_equal-{F}(V7,V8), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V9,V3), less_or_equal-{F}(V9,V0), P_additive_identity-{F}(V9), equalish-{F}(V8,V10), P_add-{F}(V10,V6,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V5), equalish-{F}(V12,V6), P_multiplicative_identity-{F}(V13), P_a-{F}(V14), equalish-{F}(V11,V14) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1214: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V33, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V34; #1177 ), references = 4, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V0,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), defined-{F}(V6), less_or_equal-{F}(V5,V7), less_or_equal-{F}(V7,V8), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V9,V3), less_or_equal-{F}(V9,V0), P_additive_identity-{F}(V9), equalish-{F}(V8,V10), P_add-{F}(V10,V6,V11), P_add-{F}(V6,V5,V12), defined-{F}(V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V13), equalish-{F}(V14,V15), P_add-{F}(V15,V13,V12), P_multiplicative_identity-{F}(V16), P_a-{F}(V17), equalish-{F}(V11,V17) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1232: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V33, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V34; #1178 ), references = 5, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V0,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_a-{F}(V8), P_add-{F}(V7,V6,V9), defined-{F}(V10), P_add-{F}(V6,V10,V11), P_add-{F}(V7,V11,V8), less_or_equal-{F}(V5,V12), less_or_equal-{F}(V12,V13), equalish-{F}(V13,V9), less_or_equal-{F}(V13,V14), less_or_equal-{F}(V14,V3), less_or_equal-{F}(V14,V0), P_additive_identity-{F}(V14), defined-{F}(V15), P_additive_inverse-{F}(V15,V5), equalish-{F}(V15,V10), P_multiplicative_identity-{F}(V16) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1309: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V29, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V34; #1291 ), references = 1, size of lhs = 32:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V3), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), less_or_equal-{F}(V3,V7), P_multiply-{F}(V4,V6,V8), P_multiply-{F}(V8,V5,V9), defined-{F}(V9), defined-{F}(V10), less_or_equal-{F}(V9,V11), less_or_equal-{F}(V11,V12), less_or_equal-{F}(V12,V13), less_or_equal-{F}(V13,V4), P_additive_identity-{F}(V13), less_or_equal-{F}(V13,V14), equalish-{F}(V12,V15), P_add-{F}(V15,V10,V16), defined-{F}(V17), P_additive_inverse-{F}(V17,V9), equalish-{F}(V17,V10), P_multiplicative_identity-{F}(V18), P_a-{F}(V19), equalish-{F}(V16,V19), less_or_equal-{F}(V20,V2), P_add-{F}(V20,V1,V21), P_add-{F}(V22,V0,V21), equalish-{F}(V22,V23), P_add-{F}(V23,V0,V14) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1325: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V29, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V37; #1292 ), references = 1, size of lhs = 35:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V3), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), less_or_equal-{F}(V3,V7), P_multiply-{F}(V4,V6,V8), P_multiply-{F}(V8,V5,V9), defined-{F}(V9), defined-{F}(V10), less_or_equal-{F}(V9,V11), less_or_equal-{F}(V11,V12), less_or_equal-{F}(V12,V13), less_or_equal-{F}(V13,V4), P_additive_identity-{F}(V13), less_or_equal-{F}(V13,V14), equalish-{F}(V12,V15), P_add-{F}(V15,V10,V16), P_add-{F}(V10,V9,V17), defined-{F}(V18), defined-{F}(V19), P_additive_inverse-{F}(V19,V18), equalish-{F}(V19,V20), P_add-{F}(V20,V18,V17), P_multiplicative_identity-{F}(V21), P_a-{F}(V22), equalish-{F}(V16,V22), less_or_equal-{F}(V23,V2), P_add-{F}(V23,V1,V24), P_add-{F}(V25,V0,V24), equalish-{F}(V25,V26), P_add-{F}(V26,V0,V14) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1341: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V34, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V37; #1293 ), references = 1, size of lhs = 35:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V3), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), less_or_equal-{F}(V3,V7), P_multiply-{F}(V4,V6,V8), P_multiply-{F}(V8,V5,V9), defined-{F}(V9), defined-{F}(V10), defined-{F}(V11), P_a-{F}(V12), P_add-{F}(V11,V10,V13), defined-{F}(V14), P_add-{F}(V10,V14,V15), P_add-{F}(V11,V15,V12), less_or_equal-{F}(V9,V16), less_or_equal-{F}(V16,V17), equalish-{F}(V17,V13), less_or_equal-{F}(V17,V18), less_or_equal-{F}(V18,V4), P_additive_identity-{F}(V18), less_or_equal-{F}(V18,V19), defined-{F}(V20), P_additive_inverse-{F}(V20,V9), equalish-{F}(V20,V14), P_multiplicative_identity-{F}(V21), less_or_equal-{F}(V22,V2), P_add-{F}(V22,V1,V23), P_add-{F}(V24,V0,V23), equalish-{F}(V24,V25), P_add-{F}(V25,V0,V19) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1392: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V25, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V27; #1378 ), references = 1, size of lhs = 27:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V7,V9), P_multiply-{F}(V9,V6,V10), defined-{F}(V10), defined-{F}(V11), less_or_equal-{F}(V10,V12), less_or_equal-{F}(V12,V4), less_or_equal-{F}(V4,V13), less_or_equal-{F}(V13,V8), less_or_equal-{F}(V13,V5), P_additive_identity-{F}(V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V10), equalish-{F}(V14,V11), P_multiplicative_identity-{F}(V15), P_a-{F}(V16), equalish-{F}(V3,V17), P_add-{F}(V17,V11,V18), equalish-{F}(V18,V16) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1404: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V25, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V30; #1379 ), references = 1, size of lhs = 30:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V7,V9), P_multiply-{F}(V9,V6,V10), defined-{F}(V10), defined-{F}(V11), less_or_equal-{F}(V10,V12), less_or_equal-{F}(V12,V4), less_or_equal-{F}(V4,V13), less_or_equal-{F}(V13,V8), less_or_equal-{F}(V13,V5), P_additive_identity-{F}(V13), P_add-{F}(V11,V10,V14), defined-{F}(V15), defined-{F}(V16), P_additive_inverse-{F}(V16,V15), equalish-{F}(V16,V17), P_add-{F}(V17,V15,V14), P_multiplicative_identity-{F}(V18), P_a-{F}(V19), equalish-{F}(V3,V20), P_add-{F}(V20,V11,V21), equalish-{F}(V21,V19) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1416: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V30, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V32; #1380 ), references = 1, size of lhs = 30:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V7,V9), P_multiply-{F}(V9,V6,V10), defined-{F}(V10), defined-{F}(V11), defined-{F}(V12), P_a-{F}(V13), P_add-{F}(V12,V11,V14), equalish-{F}(V3,V14), defined-{F}(V15), P_add-{F}(V11,V15,V16), P_add-{F}(V12,V16,V13), less_or_equal-{F}(V10,V17), less_or_equal-{F}(V17,V4), less_or_equal-{F}(V4,V18), less_or_equal-{F}(V18,V8), less_or_equal-{F}(V18,V5), P_additive_identity-{F}(V18), defined-{F}(V19), P_additive_inverse-{F}(V19,V10), equalish-{F}(V19,V15), P_multiplicative_identity-{F}(V20) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1463: mergings( V1 == V5; #1459 ), references = 11, size of lhs = 6:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | equalish-{T}(V2,V4)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1466: mergings( V0 == V6, V1 == V7; #1460 ), references = 1, size of lhs = 10:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_additive_inverse-{F}(V0,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V1,V4,V6) | equalish-{T}(V3,V5)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1469: mergings( V0 == V10, V1 == V11; #1461 ), references = 1, size of lhs = 13:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_add-{F}(V6,V4,V0), P_add-{F}(V6,V5,V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_add-{F}(V8,V3,V8), P_multiplicative_identity-{F}(V9) | equalish-{T}(V2,V9)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1500: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V0 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V23, V23 == V24; #1485 ), references = 2, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), P_add-{F}(V0,V9,V10), equalish-{F}(V10,V0), defined-{F}(V11), P_additive_inverse-{F}(V11,V8), equalish-{F}(V11,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1513: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V0 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V26, V26 == V27; #1486 ), references = 2, size of lhs = 28:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), P_add-{F}(V0,V9,V10), equalish-{F}(V10,V0), P_add-{F}(V9,V8,V11), defined-{F}(V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V12), equalish-{F}(V13,V14), P_add-{F}(V14,V12,V11) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1526: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V0 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V26, V26 == V22; #1487 ), references = 1, size of lhs = 28:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), defined-{F}(V10), P_add-{F}(V10,V9,V0), defined-{F}(V11), P_add-{F}(V9,V11,V12), P_add-{F}(V10,V12,V0), defined-{F}(V13), P_additive_inverse-{F}(V13,V8), equalish-{F}(V13,V11) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1532: mergings( V3 == V5; #1529 ), references = 1, size of lhs = 24:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), P_add-{F}(V9,V0,V0), defined-{F}(V10), P_additive_inverse-{F}(V10,V8), equalish-{F}(V10,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1534: mergings( V3 == V5; #1530 ), references = 1, size of lhs = 27:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), P_add-{F}(V9,V0,V0), P_add-{F}(V9,V8,V10), defined-{F}(V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V11), equalish-{F}(V12,V13), P_add-{F}(V13,V11,V10) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1568: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V7, V0 == V5, V5 == V8, V8 == V9; #1558 ), references = 1, size of lhs = 6:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1577: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #1559 ), references = 2, size of lhs = 6:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1584: mergings( V3 == V12, V4 == V13; #1581 ), references = 1, size of lhs = 16:
% 43.22/43.46 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), P_a-{F}(V6), defined-{F}(V7), equalish-{F}(V7,V4), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), equalish-{F}(V8,V2), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1645: mergings( V0 == V10, V1 == V11; #1641 ), references = 1, size of lhs = 15:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), equalish-{F}(V4,V1), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V6), P_a-{F}(V6), P_add-{F}(V0,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V4), equalish-{F}(V7,V2), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1648: mergings( V0 == V13, V1 == V14; #1642 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), equalish-{F}(V4,V1), less_or_equal-{F}(V3,V5), less_or_equal-{F}(V5,V6), P_a-{F}(V6), P_add-{F}(V0,V2,V6), P_add-{F}(V2,V4,V7), defined-{F}(V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V10), P_add-{F}(V10,V8,V7), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1662: mergings( V1 == V4; #1658 ), references = 2, size of lhs = 5:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | defined-{T}(V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1668: mergings( V3 == V5, V2 == V4, V4 == V0; #1664 ), references = 1, size of lhs = 4:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1685: mergings( V0 == V2, V2 == V4, V4 == V6, V1 == V5, V5 == V7, V7 == V9; #1678 ), references = 4, size of lhs = 7:
% 43.22/43.46 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), less_or_equal-{F}(V0,V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V1)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1716: mergings( V0 == V3, V3 == V7, V4 == V8; #1710 ), references = 1, size of lhs = 8:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), equalish-{F}(V0,V3), P_a-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1732: mergings( V3 == V10, V10 == V15, V4 == V11, V11 == V16; #1727 ), references = 7, size of lhs = 17:
% 43.22/43.46 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), equalish-{F}(V7,V4), equalish-{F}(V6,V8), P_a-{F}(V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V7), equalish-{F}(V9,V2), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1797: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V16; #1786 ), references = 1, size of lhs = 15:
% 43.22/43.46 P_a-{F}(V0), defined-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), equalish-{F}(V3,V4), P_add-{F}(V4,V2,V1), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V5,V7), P_add-{F}(V7,V0,V5), less_or_equal-{F}(V5,V8), equalish-{F}(V0,V8) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1807: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V16; #1787 ), references = 1, size of lhs = 16:
% 43.22/43.46 P_a-{F}(V0), defined-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), equalish-{F}(V3,V4), P_add-{F}(V4,V2,V1), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V5,V7), P_add-{F}(V7,V0,V8), less_or_equal-{F}(V8,V5), less_or_equal-{F}(V5,V9), equalish-{F}(V0,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1845: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V13, V4 == V6, V6 == V8, V8 == V21; #1835 ), references = 1, size of lhs = 22:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V0), P_a-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V6,V5), P_add-{F}(V6,V4,V7), less_or_equal-{F}(V5,V8), P_add-{F}(V8,V4,V9), less_or_equal-{F}(V9,V0), defined-{F}(V10), P_add-{F}(V1,V10,V11), P_add-{F}(V2,V11,V3), defined-{F}(V12), P_additive_inverse-{F}(V12,V4), equalish-{F}(V12,V10), P_multiplicative_identity-{F}(V13), less_or_equal-{F}(V5,V14), P_add-{F}(V14,V0,V15), less_or_equal-{F}(V15,V7) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1853: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V17, V4 == V6, V6 == V8, V8 == V21; #1836 ), references = 2, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V6,V8), less_or_equal-{F}(V8,V0), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V4), less_or_equal-{F}(V9,V1), equalish-{F}(V0,V10), P_add-{F}(V10,V7,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V6), equalish-{F}(V12,V7), P_multiplicative_identity-{F}(V13), P_a-{F}(V14), equalish-{F}(V11,V14), less_or_equal-{F}(V9,V15), P_add-{F}(V15,V0,V16), less_or_equal-{F}(V16,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1861: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V22, V4 == V6, V6 == V8, V8 == V24; #1837 ), references = 2, size of lhs = 28:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_a-{F}(V9), P_add-{F}(V8,V7,V10), equalish-{F}(V0,V10), defined-{F}(V11), P_add-{F}(V7,V11,V12), P_add-{F}(V8,V12,V9), less_or_equal-{F}(V6,V13), less_or_equal-{F}(V13,V0), P_additive_identity-{F}(V14), less_or_equal-{F}(V14,V4), less_or_equal-{F}(V14,V1), defined-{F}(V15), P_additive_inverse-{F}(V15,V6), equalish-{F}(V15,V11), P_multiplicative_identity-{F}(V16), less_or_equal-{F}(V14,V17), P_add-{F}(V17,V0,V18), less_or_equal-{F}(V18,V14) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1895: mergings( V3 == V10, V0 == V11; #1892 ), references = 2, size of lhs = 15:
% 43.22/43.46 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V0,V5), defined-{F}(V6), equalish-{F}(V6,V5), defined-{F}(V7), P_additive_inverse-{F}(V7,V6), equalish-{F}(V7,V2), P_additive_identity-{F}(V8) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1963: mergings( V3 == V5, V5 == V7, V7 == V17, V6 == V8, V8 == V21; #1956 ), references = 3, size of lhs = 26:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), defined-{F}(V9), less_or_equal-{F}(V8,V10), less_or_equal-{F}(V10,V1), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V6), less_or_equal-{F}(V11,V3), less_or_equal-{F}(V2,V11), less_or_equal-{F}(V11,V0), equalish-{F}(V1,V12), P_add-{F}(V12,V9,V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V8), equalish-{F}(V14,V9), P_multiplicative_identity-{F}(V15), P_a-{F}(V16), equalish-{F}(V13,V16) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1969: mergings( V3 == V5, V5 == V7, V7 == V22, V6 == V8, V8 == V24; #1957 ), references = 3, size of lhs = 29:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), defined-{F}(V9), defined-{F}(V10), P_a-{F}(V11), P_add-{F}(V10,V9,V12), equalish-{F}(V1,V12), defined-{F}(V13), P_add-{F}(V9,V13,V14), P_add-{F}(V10,V14,V11), less_or_equal-{F}(V8,V15), less_or_equal-{F}(V15,V1), P_additive_identity-{F}(V16), less_or_equal-{F}(V16,V6), less_or_equal-{F}(V16,V3), less_or_equal-{F}(V2,V16), less_or_equal-{F}(V16,V0), defined-{F}(V17), P_additive_inverse-{F}(V17,V8), equalish-{F}(V17,V13), P_multiplicative_identity-{F}(V18) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1986: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V20; #1979 ), references = 2, size of lhs = 26:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), defined-{F}(V9), less_or_equal-{F}(V8,V10), less_or_equal-{F}(V10,V1), equalish-{F}(V1,V11), P_add-{F}(V11,V9,V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V8), equalish-{F}(V13,V9), P_multiplicative_identity-{F}(V14), P_a-{F}(V15), equalish-{F}(V12,V15) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #1992: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V23; #1980 ), references = 1, size of lhs = 29:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V2,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), defined-{F}(V9), defined-{F}(V10), P_a-{F}(V11), P_add-{F}(V10,V9,V12), equalish-{F}(V1,V12), defined-{F}(V13), P_add-{F}(V9,V13,V14), P_add-{F}(V10,V14,V11), less_or_equal-{F}(V8,V15), less_or_equal-{F}(V15,V1), defined-{F}(V16), P_additive_inverse-{F}(V16,V8), equalish-{F}(V16,V13), P_multiplicative_identity-{F}(V17) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2002: mergings( V0 == V2, V2 == V4, V4 == V5, V5 == V7, V1 == V6, V6 == V8, V8 == V21; #1993 ), references = 1, size of lhs = 26:
% 43.22/43.46 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), defined-{F}(V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V0,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), defined-{F}(V9), less_or_equal-{F}(V8,V10), less_or_equal-{F}(V10,V2), equalish-{F}(V2,V11), P_add-{F}(V11,V9,V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V8), equalish-{F}(V13,V9), P_multiplicative_identity-{F}(V14), P_a-{F}(V15), equalish-{F}(V12,V15) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2010: mergings( V0 == V2, V2 == V4, V4 == V5, V5 == V7, V1 == V6, V6 == V8, V8 == V24; #1994 ), references = 1, size of lhs = 29:
% 43.22/43.46 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), defined-{F}(V3), less_or_equal-{F}(V0,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), less_or_equal-{F}(V0,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V7,V4,V8), defined-{F}(V8), defined-{F}(V9), defined-{F}(V10), P_a-{F}(V11), P_add-{F}(V10,V9,V12), equalish-{F}(V2,V12), defined-{F}(V13), P_add-{F}(V9,V13,V14), P_add-{F}(V10,V14,V11), less_or_equal-{F}(V8,V15), less_or_equal-{F}(V15,V2), defined-{F}(V16), P_additive_inverse-{F}(V16,V8), equalish-{F}(V16,V13), P_multiplicative_identity-{F}(V17) | less_or_equal-{T}(V1,V0)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2042: mergings( V0 == V4, V1 == V5; #2037 ), references = 1, size of lhs = 9:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V1), defined-{F}(V2), P_additive_identity-{F}(V2), P_add-{F}(V1,V2,V1), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V1,V1,V4) | equalish-{T}(V0,V2)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2045: mergings( V0 == V10, V1 == V11; #2038 ), references = 1, size of lhs = 14:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), P_add-{F}(V4,V2,V6), equalish-{F}(V6,V7), P_add-{F}(V7,V1,V1), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_add-{F}(V5,V1,V10) | equalish-{T}(V0,V8)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2105: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V20; #2095 ), references = 1, size of lhs = 21:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V5,V6,V1), P_add-{F}(V6,V4,V7), P_add-{F}(V7,V3,V8), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V2), equalish-{F}(V10,V9), P_additive_identity-{F}(V11), P_a-{F}(V12), P_add-{F}(V8,V9,V13), equalish-{F}(V13,V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2114: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V23, V0 == V5, V5 == V7, V7 == V10, V10 == V24; #2096 ), references = 1, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V5,V7,V1), P_add-{F}(V7,V4,V8), P_add-{F}(V8,V3,V6), defined-{F}(V9), P_add-{F}(V9,V6,V10), less_or_equal-{F}(V10,V11), less_or_equal-{F}(V11,V12), P_a-{F}(V12), P_add-{F}(V13,V9,V12), less_or_equal-{F}(V13,V6), defined-{F}(V14), P_additive_inverse-{F}(V14,V2), equalish-{F}(V14,V9), P_additive_identity-{F}(V15) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2218: mergings( V0 == V8, V1 == V9; #2213 ), references = 1, size of lhs = 13:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), equalish-{F}(V4,V3), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V6,V3,V7), P_a-{F}(V8), equalish-{F}(V7,V8) | equalish-{T}(V0,V5)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2221: mergings( V0 == V11, V1 == V12; #2214 ), references = 1, size of lhs = 17:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V0,V5), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V6,V7), P_a-{F}(V7), P_add-{F}(V8,V4,V7), less_or_equal-{F}(V8,V0), defined-{F}(V9), P_additive_inverse-{F}(V9,V3), equalish-{F}(V9,V4), P_additive_identity-{F}(V10) | equalish-{T}(V1,V10)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2224: mergings( V0 == V11, V1 == V12; #2215 ), references = 1, size of lhs = 16:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_a-{F}(V6), P_add-{F}(V5,V4,V7), P_add-{F}(V4,V0,V8), P_add-{F}(V5,V8,V6), defined-{F}(V9), equalish-{F}(V9,V7), P_additive_inverse-{F}(V3,V9), P_additive_identity-{F}(V10) | equalish-{T}(V1,V10)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2315: mergings( V3 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V26; #2306 ), references = 2, size of lhs = 32:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V2), defined-{F}(V8), less_or_equal-{F}(V7,V8), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V9,V11), less_or_equal-{F}(V7,V11), P_multiply-{F}(V8,V10,V12), P_multiply-{F}(V12,V9,V13), defined-{F}(V13), defined-{F}(V14), less_or_equal-{F}(V13,V15), less_or_equal-{F}(V15,V4), equalish-{F}(V4,V16), P_add-{F}(V16,V14,V17), defined-{F}(V18), P_additive_inverse-{F}(V18,V13), equalish-{F}(V18,V14), P_multiplicative_identity-{F}(V19), P_a-{F}(V20), equalish-{F}(V17,V20) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2322: mergings( V3 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V29; #2307 ), references = 2, size of lhs = 35:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V2), defined-{F}(V8), less_or_equal-{F}(V7,V8), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V9,V11), less_or_equal-{F}(V7,V11), P_multiply-{F}(V8,V10,V12), P_multiply-{F}(V12,V9,V13), defined-{F}(V13), defined-{F}(V14), defined-{F}(V15), P_a-{F}(V16), P_add-{F}(V15,V14,V17), equalish-{F}(V4,V17), defined-{F}(V18), P_add-{F}(V14,V18,V19), P_add-{F}(V15,V19,V16), less_or_equal-{F}(V13,V20), less_or_equal-{F}(V20,V4), defined-{F}(V21), P_additive_inverse-{F}(V21,V13), equalish-{F}(V21,V18), P_multiplicative_identity-{F}(V22) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2337: mergings( V3 == V5, V5 == V7, V7 == V15, V4 == V6, V6 == V8, V8 == V27; #2329 ), references = 1, size of lhs = 33:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_add-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), less_or_equal-{F}(V8,V9), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V10,V12), less_or_equal-{F}(V8,V12), P_multiply-{F}(V9,V11,V13), P_multiply-{F}(V13,V10,V14), defined-{F}(V14), defined-{F}(V15), less_or_equal-{F}(V14,V16), less_or_equal-{F}(V16,V4), equalish-{F}(V4,V17), P_add-{F}(V17,V15,V18), defined-{F}(V19), P_additive_inverse-{F}(V19,V14), equalish-{F}(V19,V15), P_multiplicative_identity-{F}(V20), P_a-{F}(V21), equalish-{F}(V18,V21) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2344: mergings( V3 == V5, V5 == V7, V7 == V15, V4 == V6, V6 == V8, V8 == V30; #2330 ), references = 1, size of lhs = 36:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), defined-{F}(V4), P_add-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V2), defined-{F}(V9), less_or_equal-{F}(V8,V9), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V10,V12), less_or_equal-{F}(V8,V12), P_multiply-{F}(V9,V11,V13), P_multiply-{F}(V13,V10,V14), defined-{F}(V14), defined-{F}(V15), defined-{F}(V16), P_a-{F}(V17), P_add-{F}(V16,V15,V18), equalish-{F}(V4,V18), defined-{F}(V19), P_add-{F}(V15,V19,V20), P_add-{F}(V16,V20,V17), less_or_equal-{F}(V14,V21), less_or_equal-{F}(V21,V4), defined-{F}(V22), P_additive_inverse-{F}(V22,V14), equalish-{F}(V22,V19), P_multiplicative_identity-{F}(V23) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2372: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V0 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V32; #2355 ), references = 2, size of lhs = 31:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), P_add-{F}(V2,V0,V4), equalish-{F}(V4,V0), less_or_equal-{F}(V1,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V1), less_or_equal-{F}(V5,V0), defined-{F}(V6), less_or_equal-{F}(V5,V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V9), less_or_equal-{F}(V5,V9), P_multiply-{F}(V6,V8,V10), P_multiply-{F}(V10,V7,V11), defined-{F}(V11), defined-{F}(V12), less_or_equal-{F}(V11,V13), less_or_equal-{F}(V13,V3), equalish-{F}(V3,V14), P_add-{F}(V14,V12,V15), defined-{F}(V16), P_additive_inverse-{F}(V16,V11), equalish-{F}(V16,V12), P_a-{F}(V17), equalish-{F}(V15,V17) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2388: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V0 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V35; #2356 ), references = 1, size of lhs = 34:
% 43.22/43.46 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), P_add-{F}(V2,V0,V4), equalish-{F}(V4,V0), less_or_equal-{F}(V1,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V1), less_or_equal-{F}(V5,V0), defined-{F}(V6), less_or_equal-{F}(V5,V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V9), less_or_equal-{F}(V5,V9), P_multiply-{F}(V6,V8,V10), P_multiply-{F}(V10,V7,V11), defined-{F}(V11), defined-{F}(V12), defined-{F}(V13), P_a-{F}(V14), P_add-{F}(V13,V12,V15), equalish-{F}(V3,V15), defined-{F}(V16), P_add-{F}(V12,V16,V17), P_add-{F}(V13,V17,V14), less_or_equal-{F}(V11,V18), less_or_equal-{F}(V18,V3), defined-{F}(V19), P_additive_inverse-{F}(V19,V11), equalish-{F}(V19,V16) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2412: mergings( V0 == V11, V1 == V15; #2407 ), references = 1, size of lhs = 22:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V0,V8), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V9,V4), less_or_equal-{F}(V9,V1), P_additive_identity-{F}(V9), equalish-{F}(V8,V10), P_add-{F}(V10,V7,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V6), equalish-{F}(V12,V7), P_multiplicative_identity-{F}(V13), P_a-{F}(V14), equalish-{F}(V11,V14) | less_or_equal-{T}(V0,V6)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2415: mergings( V0 == V6, V1 == V16; #2408 ), references = 1, size of lhs = 26:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), less_or_equal-{F}(V3,V1), defined-{F}(V4), less_or_equal-{F}(V3,V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), less_or_equal-{F}(V3,V7), P_multiply-{F}(V4,V6,V8), P_multiply-{F}(V8,V5,V9), defined-{F}(V9), defined-{F}(V10), equalish-{F}(V2,V11), P_add-{F}(V11,V10,V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V9), equalish-{F}(V13,V10), P_multiplicative_identity-{F}(V14), P_a-{F}(V15), equalish-{F}(V12,V15) | less_or_equal-{T}(V0,V9)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2418: mergings( V0 == V11, V1 == V15; #2409 ), references = 1, size of lhs = 25:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V6,V3,V7), defined-{F}(V7), defined-{F}(V8), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V5), less_or_equal-{F}(V9,V2), equalish-{F}(V1,V10), P_add-{F}(V10,V8,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V7), equalish-{F}(V12,V8), P_multiplicative_identity-{F}(V13), P_a-{F}(V14), equalish-{F}(V11,V14), less_or_equal-{F}(V9,V15), P_add-{F}(V15,V1,V16), less_or_equal-{F}(V16,V9) | less_or_equal-{T}(V0,V7)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2432: mergings( V3 == V6, V6 == V15, V4 == V7, V7 == V16; #2427 ), references = 3, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), defined-{F}(V4), defined-{F}(V5), P_add-{F}(V5,V3,V0), P_multiply-{F}(V5,V1,V6), equalish-{F}(V2,V7), P_a-{F}(V7), defined-{F}(V8), equalish-{F}(V8,V6), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V4), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2463: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V25, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22; #2450 ), references = 1, size of lhs = 20:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V4), P_a-{F}(V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V4), equalish-{F}(V3,V7), defined-{F}(V7), defined-{F}(V8), P_add-{F}(V8,V6,V9), P_multiplicative_identity-{F}(V9), P_multiply-{F}(V8,V5,V10), defined-{F}(V11), equalish-{F}(V11,V10), P_additive_inverse-{F}(V7,V11), P_additive_identity-{F}(V12) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2480: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V24, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21; #2465 ), references = 1, size of lhs = 15:
% 43.22/43.46 P_a-{F}(V0), defined-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V2), P_multiply-{F}(V1,V2,V3), equalish-{F}(V3,V4), defined-{F}(V4), defined-{F}(V5), P_add-{F}(V5,V2,V6), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V5,V0,V7), defined-{F}(V8), equalish-{F}(V8,V7), P_additive_inverse-{F}(V4,V8), P_additive_identity-{F}(V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2513: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V21, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22; #2501 ), references = 1, size of lhs = 20:
% 43.22/43.46 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V4), P_multiply-{F}(V4,V2,V5), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V4,V1), P_multiply-{F}(V6,V2,V7), defined-{F}(V8), equalish-{F}(V8,V7), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V5), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), equalish-{F}(V11,V12), P_multiply-{F}(V12,V0,V3) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2524: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V21, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22; #2502 ), references = 1, size of lhs = 19:
% 43.22/43.46 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V5), P_add-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V8), equalish-{F}(V8,V5), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), equalish-{F}(V9,V3), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), equalish-{F}(V11,V12), P_multiply-{F}(V12,V0,V7) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2578: mergings( V7 == V9, V9 == V12, V8 == V10, V10 == V13; #2573 ), references = 1, size of lhs = 13:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V3), equalish-{F}(V6,V2), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), equalish-{F}(V9,V5) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2666: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11, V11 == V21, V0 == V10, V10 == V22; #2654 ), references = 1, size of lhs = 24:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), less_or_equal-{F}(V2,V3), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), defined-{F}(V6), less_or_equal-{F}(V5,V7), less_or_equal-{F}(V7,V8), less_or_equal-{F}(V8,V2), equalish-{F}(V8,V9), P_add-{F}(V9,V6,V10), equalish-{F}(V10,V0), defined-{F}(V11), P_additive_inverse-{F}(V11,V5), equalish-{F}(V11,V6), P_multiplicative_identity-{F}(V12), equalish-{F}(V12,V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2676: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V0 == V10, V10 == V25; #2655 ), references = 1, size of lhs = 33:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), equalish-{F}(V3,V0), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), defined-{F}(V6), P_add-{F}(V5,V3,V7), equalish-{F}(V7,V3), defined-{F}(V8), less_or_equal-{F}(V2,V8), P_multiply-{F}(V8,V0,V9), P_multiply-{F}(V9,V1,V10), defined-{F}(V10), defined-{F}(V11), less_or_equal-{F}(V10,V12), less_or_equal-{F}(V12,V6), equalish-{F}(V6,V13), P_add-{F}(V13,V11,V14), equalish-{F}(V14,V0), defined-{F}(V15), P_additive_inverse-{F}(V15,V10), equalish-{F}(V15,V11) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2686: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11, V11 == V22, V0 == V10, V10 == V23; #2656 ), references = 1, size of lhs = 28:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), defined-{F}(V5), less_or_equal-{F}(V2,V5), P_multiply-{F}(V5,V0,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V7), defined-{F}(V8), less_or_equal-{F}(V7,V9), less_or_equal-{F}(V9,V4), equalish-{F}(V4,V10), P_add-{F}(V10,V8,V11), equalish-{F}(V11,V0), defined-{F}(V12), P_additive_inverse-{F}(V12,V7), equalish-{F}(V12,V8), P_multiplicative_identity-{F}(V13), equalish-{F}(V13,V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2760: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22, V0 == V20; #2744 ), references = 1, size of lhs = 14:
% 43.22/43.46 defined-{F}(V0), P_add-{F}(V0,V0,V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), equalish-{F}(V2,V0), P_multiplicative_identity-{F}(V2), equalish-{F}(V0,V3), P_multiply-{F}(V3,V1,V4), equalish-{F}(V4,V5), defined-{F}(V5), P_additive_inverse-{F}(V2,V5), P_additive_identity-{F}(V6) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2780: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V6 == V19; #2762 ), references = 1, size of lhs = 11:
% 43.22/43.46 defined-{F}(V0), P_add-{F}(V0,V0,V0), P_a-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V1), equalish-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V0,V2), defined-{F}(V2), P_additive_inverse-{F}(V1,V2), P_additive_identity-{F}(V3) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2820: mergings( V7 == V9, V9 == V11, V11 == V16, V8 == V10, V10 == V12, V12 == V17; #2811 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_a-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V5,V6,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), equalish-{F}(V8,V6), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), equalish-{F}(V3,V11), P_add-{F}(V11,V2,V7) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2833: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23; #2812 ), references = 1, size of lhs = 20:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V2), defined-{F}(V5), less_or_equal-{F}(V2,V6), P_a-{F}(V6), P_add-{F}(V7,V3,V6), less_or_equal-{F}(V7,V2), defined-{F}(V8), P_additive_inverse-{F}(V8,V5), equalish-{F}(V8,V3), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), equalish-{F}(V3,V11), P_add-{F}(V11,V2,V5) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2845: mergings( V0 == V11, V1 == V15; #2840 ), references = 1, size of lhs = 22:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V0,V8), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V9,V4), less_or_equal-{F}(V9,V1), P_additive_identity-{F}(V9), equalish-{F}(V8,V10), P_add-{F}(V10,V7,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V6), equalish-{F}(V12,V7), P_multiplicative_identity-{F}(V13), P_a-{F}(V14), equalish-{F}(V11,V14) | less_or_equal-{T}(V0,V6)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2848: mergings( V0 == V9, V1 == V4; #2841 ), references = 1, size of lhs = 31:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), less_or_equal-{F}(V0,V4), P_add-{F}(V3,V1,V5), equalish-{F}(V5,V1), less_or_equal-{F}(V2,V6), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V2), less_or_equal-{F}(V6,V1), defined-{F}(V7), less_or_equal-{F}(V6,V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V10), less_or_equal-{F}(V6,V10), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V11,V8,V12), defined-{F}(V12), defined-{F}(V13), equalish-{F}(V4,V14), P_add-{F}(V14,V13,V15), defined-{F}(V16), P_additive_inverse-{F}(V16,V12), equalish-{F}(V16,V13), P_a-{F}(V17), equalish-{F}(V15,V17) | less_or_equal-{T}(V0,V12)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2851: mergings( V0 == V6, V1 == V16; #2842 ), references = 1, size of lhs = 26:
% 43.22/43.46 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), less_or_equal-{F}(V3,V1), defined-{F}(V4), less_or_equal-{F}(V3,V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), less_or_equal-{F}(V3,V7), P_multiply-{F}(V4,V6,V8), P_multiply-{F}(V8,V5,V9), defined-{F}(V9), defined-{F}(V10), equalish-{F}(V2,V11), P_add-{F}(V11,V10,V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V9), equalish-{F}(V13,V10), P_multiplicative_identity-{F}(V14), P_a-{F}(V15), equalish-{F}(V12,V15) | less_or_equal-{T}(V0,V9)
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #2977: mergings( V3 == V5, V5 == V14, V4 == V6, V6 == V15, V0 == V11; #2971 ), references = 1, size of lhs = 18:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V2,V0), P_multiply-{F}(V4,V1,V5), defined-{F}(V6), equalish-{F}(V6,V5), defined-{F}(V7), P_additive_inverse-{F}(V7,V6), equalish-{F}(V7,V3), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), equalish-{F}(V9,V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3041: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V14, V1 == V15; #3027 ), references = 1, size of lhs = 9:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V0,V4), P_multiply-{F}(V4,V1,V5), equalish-{F}(V5,V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3053: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V23, V0 == V20; #3028 ), references = 1, size of lhs = 22:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V2,V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V5,V3,V7), P_multiply-{F}(V7,V2,V8), equalish-{F}(V8,V0), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), equalish-{F}(V10,V4), P_additive_identity-{F}(V11), equalish-{F}(V0,V12), P_multiply-{F}(V12,V1,V13), equalish-{F}(V13,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3065: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V23, V0 == V19; #3029 ), references = 1, size of lhs = 23:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V0), defined-{F}(V5), P_multiply-{F}(V5,V3,V6), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V5,V2), P_multiply-{F}(V7,V3,V8), P_multiplicative_identity-{F}(V8), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), equalish-{F}(V10,V6), P_additive_identity-{F}(V11), equalish-{F}(V0,V12), P_multiply-{F}(V12,V1,V13), equalish-{F}(V13,V9) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3084: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V16; #3069 ), references = 2, size of lhs = 7:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), equalish-{F}(V0,V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiplicative_inverse-{F}(V0,V2), P_additive_identity-{F}(V3) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3089: mergings( V2 == V5, V3 == V4; #3086 ), references = 1, size of lhs = 5:
% 43.22/43.46 defined-{F}(V0), P_a-{F}(V0), equalish-{F}(V0,V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3098: mergings( V1 == V3, V3 == V4, V4 == V7, V2 == V5, V5 == V6; #3092 ), references = 1, size of lhs = 2:
% 43.22/43.46 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3103: mergings( V1 == V2, V2 == V3, V3 == V4; #3099 ), references = 1, size of lhs = 1:
% 43.22/43.46 P_additive_identity-{F}(V0) | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 #3105: exists( #32, #3099 ), references = 1, size of lhs = 0:
% 43.22/43.46 FALSE | FALSE
% 43.22/43.46 (used 0 times, uses = {})
% 43.22/43.46
% 43.22/43.46 number of learnt formulas = 124
% 43.22/43.46
% 43.22/43.46
% 43.22/43.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/43.46
% 43.22/43.46 randbase = 1
%------------------------------------------------------------------------------