TSTP Solution File: FLD060-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD060-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:01:14 EDT 2022
% Result : Unsatisfiable 10.72s 10.97s
% Output : Refutation 10.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD060-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 10:09:41 EDT 2022
% 0.19/0.33 % CPUTime :
% 10.72/10.97 GeoParameters:
% 10.72/10.97
% 10.72/10.97 tptp_input = 1
% 10.72/10.97 tptp_output = 0
% 10.72/10.97 nonempty = 1
% 10.72/10.97 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.97 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 10.72/10.97
% 10.72/10.97
% 10.72/10.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.97
% 10.72/10.97 RuleSystem INPUT:
% 10.72/10.97
% 10.72/10.97 Initial Rules:
% 10.72/10.97 #0: input, references = 11, size of lhs = 7:
% 10.72/10.97 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1: input, references = 23, size of lhs = 3:
% 10.72/10.97 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2: input, references = 21, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #3: input, references = 11, size of lhs = 5:
% 10.72/10.97 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #4: input, references = 3, size of lhs = 8:
% 10.72/10.97 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #5: input, references = 8, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #6: input, references = 3, size of lhs = 5:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #7: input, references = 10, size of lhs = 6:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #8: input, references = 6, size of lhs = 10:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #9: input, references = 5, size of lhs = 5:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #10: input, references = 3, size of lhs = 2:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #11: input, references = 3, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #12: input, references = 3, size of lhs = 5:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #13: input, references = 3, size of lhs = 2:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #14: input, references = 4, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #15: input, references = 11, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #16: input, references = 42, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #17: input, references = 17, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #18: input, references = 52, size of lhs = 6:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #19: input, references = 4, size of lhs = 5:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #20: input, references = 3, size of lhs = 3:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #21: input, references = 49, size of lhs = 3:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #22: input, references = 31, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #23: input, references = 8, size of lhs = 6:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #24: input, references = 6, size of lhs = 6:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #25: input, references = 65, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #26: input, references = 7, size of lhs = 3:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #27: input, references = 4, size of lhs = 3:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #28: input, references = 4, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #29: input, references = 4, size of lhs = 4:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | less_or_equal-{T}(V2,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #30: input, references = 8, size of lhs = 7:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V2,V4), P_add-{F}(V3,V3,V5), less_or_equal-{F}(V4,V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #31: input, references = 48, size of lhs = 2:
% 10.72/10.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #32: input, references = 4, size of lhs = 0:
% 10.72/10.97 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #33: input, references = 3, size of lhs = 1:
% 10.72/10.97 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #34: input, references = 7, size of lhs = 2:
% 10.72/10.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #35: input, references = 4, size of lhs = 0:
% 10.72/10.97 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #36: input, references = 3, size of lhs = 1:
% 10.72/10.97 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #37: input, references = 4, size of lhs = 0:
% 10.72/10.97 FALSE | EXISTS V0: P_a-{T}(V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #38: input, references = 4, size of lhs = 0:
% 10.72/10.97 FALSE | EXISTS V0: P_b-{T}(V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 number of initial rules = 39
% 10.72/10.97
% 10.72/10.97 Simplifiers:
% 10.72/10.97 #39: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #40: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #41: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #42: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #43: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #44: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #45: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #46: unsound, references = 3, size of lhs = 3:
% 10.72/10.97 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 number of simplifiers = 8
% 10.72/10.97
% 10.72/10.97 Learnt:
% 10.72/10.97 #62: mergings( V2 == V4, V3 == V5; #59 ), references = 1, size of lhs = 6:
% 10.72/10.97 defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #108: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #96 ), references = 7, size of lhs = 11:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_add-{F}(V3,V3,V5), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V1), less_or_equal-{F}(V0,V7), less_or_equal-{F}(V7,V8), P_add-{F}(V4,V4,V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #121: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #109 ), references = 8, size of lhs = 9:
% 10.72/10.97 defined-{F}(V0), P_a-{F}(V0), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), less_or_equal-{F}(V0,V4), less_or_equal-{F}(V4,V5), P_add-{F}(V3,V3,V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #142: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V1 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22; #124 ), references = 1, size of lhs = 14:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_a-{F}(V3), less_or_equal-{F}(V3,V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_b-{F}(V6), less_or_equal-{F}(V3,V7), P_add-{F}(V6,V6,V8), P_add-{F}(V0,V2,V8), P_add-{F}(V1,V2,V9), equalish-{F}(V9,V7) | less_or_equal-{T}(V0,V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #173: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V15 == V26; #147 ), references = 1, size of lhs = 7:
% 10.72/10.97 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), less_or_equal-{F}(V1,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #198: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #190 ), references = 1, size of lhs = 5:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #240: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #229 ), references = 2, size of lhs = 6:
% 10.72/10.97 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
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #263: mergings( V0 == V6, V6 == V8, V1 == V5, V5 == V7; #257 ), references = 1, size of lhs = 6:
% 10.72/10.97 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4) | equalish-{T}(V0,V4)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #318: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #312 ), references = 1, size of lhs = 9:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_add-{F}(V3,V3,V0), P_b-{F}(V4), P_add-{F}(V4,V4,V5), less_or_equal-{F}(V1,V6), P_add-{F}(V6,V0,V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #325: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #319 ), references = 4, size of lhs = 7:
% 10.72/10.97 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_add-{F}(V3,V3,V0) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #386: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #374 ), references = 1, size of lhs = 11:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_add-{F}(V3,V3,V5), less_or_equal-{F}(V5,V0), P_add-{F}(V4,V4,V6), less_or_equal-{F}(V1,V7), P_add-{F}(V7,V0,V6) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #399: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #387 ), references = 12, size of lhs = 9:
% 10.72/10.97 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), less_or_equal-{F}(V1,V0), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_add-{F}(V3,V3,V4), less_or_equal-{F}(V4,V0) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #410: mergings( V2 == V9, V9 == V11, V11 == V14, V3 == V10, V10 == V12, V12 == V15; #403 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_a-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V2), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V0,V5), defined-{F}(V6), P_b-{F}(V6), less_or_equal-{F}(V5,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), less_or_equal-{F}(V7,V6), P_multiplicative_identity-{F}(V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #425: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V14, V14 == V16, V1 == V3, V3 == V5, V5 == V7, V7 == V15, V15 == V17, V17 == V20; #413 ), references = 1, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), P_a-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V3), P_add-{F}(V4,V2,V5), P_multiply-{F}(V5,V1,V6), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V6,V7), P_multiply-{F}(V0,V0,V8), less_or_equal-{F}(V8,V7), P_multiplicative_identity-{F}(V9) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #528: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V5 == V7, V7 == V9, V9 == V12; #520 ), references = 1, size of lhs = 18:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), P_add-{F}(V5,V5,V7), P_add-{F}(V8,V0,V7), less_or_equal-{F}(V8,V0), P_add-{F}(V6,V6,V9), less_or_equal-{F}(V1,V10), P_add-{F}(V10,V2,V11), P_add-{F}(V12,V3,V11), less_or_equal-{F}(V12,V13), P_add-{F}(V13,V3,V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #537: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #529 ), references = 1, size of lhs = 13:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V0) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #680: mergings( V3 == V7, V7 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V15, V15 == V17; #669 ), references = 2, size of lhs = 14:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_additive_identity-{F}(V6), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V5,V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #689: mergings( V3 == V7, V7 == V10, V10 == V12, V12 == V14, V4 == V11, V11 == V13, V13 == V15, V15 == V17; #670 ), references = 7, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V6), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V5,V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V10), less_or_equal-{F}(V10,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #746: mergings( V3 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V10; #739 ), references = 2, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_a-{F}(V2), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_b-{F}(V5), P_add-{F}(V5,V5,V6), less_or_equal-{F}(V0,V7), P_add-{F}(V7,V1,V6) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #752: mergings( V3 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V10; #740 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), P_add-{F}(V5,V5,V7), P_add-{F}(V8,V2,V7), less_or_equal-{F}(V8,V3), P_add-{F}(V6,V6,V9), less_or_equal-{F}(V0,V10), P_add-{F}(V10,V1,V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #760: mergings( V2 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V10; #753 ), references = 2, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_b-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_a-{F}(V2), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #768: mergings( V0 == V2, V2 == V6, V6 == V8, V1 == V7, V7 == V9, V9 == V10; #761 ), references = 1, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_a-{F}(V3), P_multiplicative_identity-{F}(V4) | less_or_equal-{T}(V0,V3)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #822: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17; #807 ), references = 2, size of lhs = 13:
% 10.72/10.97 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), less_or_equal-{F}(V4,V3), P_a-{F}(V5), P_add-{F}(V5,V5,V2), less_or_equal-{F}(V1,V6), less_or_equal-{F}(V6,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #835: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V21, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V23; #808 ), references = 2, size of lhs = 20:
% 10.72/10.97 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), P_add-{F}(V7,V3,V8), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V9), defined-{F}(V10), P_b-{F}(V10), less_or_equal-{F}(V8,V10), P_a-{F}(V11), P_add-{F}(V11,V11,V2), less_or_equal-{F}(V1,V12), less_or_equal-{F}(V12,V10) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #848: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15; #809 ), references = 1, size of lhs = 9:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_additive_identity-{F}(V3), P_multiply-{F}(V3,V1,V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #931: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19; #913 ), references = 1, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V1), less_or_equal-{F}(V1,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), P_add-{F}(V4,V4,V5), less_or_equal-{F}(V5,V2), less_or_equal-{F}(V2,V6), P_add-{F}(V6,V0,V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #945: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19; #914 ), references = 2, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_a-{F}(V3), less_or_equal-{F}(V3,V0), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), less_or_equal-{F}(V4,V6), P_add-{F}(V6,V0,V7), less_or_equal-{F}(V7,V4) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #959: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19; #915 ), references = 1, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_a-{F}(V3), less_or_equal-{F}(V3,V0), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), P_b-{F}(V6), P_add-{F}(V6,V6,V7), less_or_equal-{F}(V1,V8), P_add-{F}(V8,V2,V7), less_or_equal-{F}(V4,V9), P_add-{F}(V9,V0,V10), less_or_equal-{F}(V10,V4) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1018: mergings( V3 == V4, V4 == V6, V6 == V11, V5 == V7, V7 == V12; #1011 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_b-{F}(V3), less_or_equal-{F}(V2,V3), defined-{F}(V4), P_a-{F}(V4), less_or_equal-{F}(V4,V1), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), less_or_equal-{F}(V5,V0), P_multiplicative_identity-{F}(V6) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1026: mergings( V0 == V2, V2 == V5, V5 == V7, V1 == V6, V6 == V8, V8 == V12; #1019 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_b-{F}(V4), less_or_equal-{F}(V3,V4), defined-{F}(V5), P_a-{F}(V5), less_or_equal-{F}(V5,V2), P_multiplicative_identity-{F}(V6) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1045: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V7; #1038 ), references = 1, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V0) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1050: mergings( V0 == V4, V4 == V12, V1 == V5, V5 == V13; #1039 ), references = 1, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V0), less_or_equal-{F}(V1,V7), defined-{F}(V7), P_b-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_add-{F}(V10,V10,V0) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1079: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1068 ), references = 1, size of lhs = 11:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V2), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_add-{F}(V5,V5,V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1089: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V20; #1069 ), references = 1, size of lhs = 18:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), P_add-{F}(V7,V0,V6), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V8), less_or_equal-{F}(V0,V9), defined-{F}(V9), P_b-{F}(V9), P_multiplicative_identity-{F}(V10), P_a-{F}(V11), P_add-{F}(V11,V11,V6) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1162: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1144 ), references = 5, size of lhs = 7:
% 10.72/10.97 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V2), equalish-{F}(V2,V1), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1180: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21; #1145 ), references = 2, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V1), P_add-{F}(V5,V0,V1), less_or_equal-{F}(V5,V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1200: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23; #1146 ), references = 2, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V1), P_add-{F}(V5,V0,V1), less_or_equal-{F}(V5,V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1232: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V6; #1226 ), references = 1, size of lhs = 14:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V0), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_b-{F}(V5), less_or_equal-{F}(V1,V5), P_a-{F}(V6), P_add-{F}(V6,V6,V4) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1237: mergings( V0 == V4, V4 == V15, V1 == V5, V5 == V6; #1227 ), references = 1, size of lhs = 21:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V0), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), P_add-{F}(V8,V6,V9), P_add-{F}(V9,V5,V0), less_or_equal-{F}(V1,V10), defined-{F}(V10), P_b-{F}(V10), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V11), P_a-{F}(V12), P_add-{F}(V12,V12,V4) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1252: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V3; #1247 ), references = 1, size of lhs = 7:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), equalish-{F}(V2,V0), P_add-{F}(V1,V1,V2) | less_or_equal-{T}(V0,V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1294: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #1284 ), references = 1, size of lhs = 11:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), equalish-{F}(V0,V5) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1303: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V16, V1 == V5, V5 == V7, V7 == V9, V9 == V17; #1285 ), references = 1, size of lhs = 18:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V0), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V1,V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_add-{F}(V10,V10,V11), equalish-{F}(V0,V11) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1359: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #1346 ), references = 1, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), equalish-{F}(V5,V2), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1371: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V21; #1347 ), references = 2, size of lhs = 19:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V0,V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_add-{F}(V10,V10,V11), equalish-{F}(V11,V6), P_add-{F}(V12,V0,V11), less_or_equal-{F}(V12,V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1402: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V13 == V25; #1378 ), references = 1, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_a-{F}(V1), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1426: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V31, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V32, V13 == V30; #1379 ), references = 1, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_a-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V0), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V1,V7), P_multiplicative_identity-{F}(V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1453: mergings( V0 == V3, V3 == V5, V5 == V2, V2 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V13 == V26; #1427 ), references = 1, size of lhs = 9:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_a-{F}(V1), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V1,V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1478: mergings( V0 == V3, V3 == V5, V5 == V2, V2 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V32, V13 == V31; #1428 ), references = 1, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_a-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V0), defined-{F}(V7), P_b-{F}(V7), less_or_equal-{F}(V1,V7), P_multiplicative_identity-{F}(V8) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1501: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V4 == V9, V9 == V11, V11 == V12; #1493 ), references = 2, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V2), P_add-{F}(V5,V4,V2), less_or_equal-{F}(V5,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1512: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V1; #1506 ), references = 1, size of lhs = 6:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1520: mergings( V0 == V2, V2 == V3, V3 == V5, V1 == V4, V4 == V6, V6 == V7; #1513 ), references = 1, size of lhs = 5:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1561: mergings( V7 == V10, V8 == V9; #1556 ), references = 1, size of lhs = 14:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), defined-{F}(V5), P_additive_inverse-{F}(V5,V0), defined-{F}(V6), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V6,V4), P_additive_identity-{F}(V7), P_add-{F}(V8,V6,V4), less_or_equal-{F}(V8,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1564: mergings( V7 == V10, V8 == V11; #1557 ), references = 1, size of lhs = 19:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), P_b-{F}(V4), P_add-{F}(V3,V1,V5), defined-{F}(V5), P_additive_inverse-{F}(V5,V0), defined-{F}(V6), less_or_equal-{F}(V6,V4), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V4), P_add-{F}(V10,V6,V4), less_or_equal-{F}(V10,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1567: mergings( V7 == V10, V8 == V11; #1558 ), references = 1, size of lhs = 19:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), P_b-{F}(V4), P_add-{F}(V3,V1,V5), defined-{F}(V5), P_additive_inverse-{F}(V5,V0), defined-{F}(V6), less_or_equal-{F}(V6,V4), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V4), P_add-{F}(V10,V6,V4), less_or_equal-{F}(V10,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1607: mergings( V7 == V14, V8 == V15; #1604 ), references = 1, size of lhs = 23:
% 10.72/10.97 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), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V2,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), P_add-{F}(V9,V7,V3), defined-{F}(V10), P_b-{F}(V10), less_or_equal-{F}(V6,V10), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V11), P_multiplicative_identity-{F}(V12), P_a-{F}(V13), P_add-{F}(V13,V13,V5), P_add-{F}(V14,V6,V5), less_or_equal-{F}(V14,V11) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1668: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18; #1653 ), references = 1, size of lhs = 13:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V6,V6,V3), equalish-{F}(V0,V7), P_multiply-{F}(V7,V1,V8), equalish-{F}(V8,V4) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1681: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V23, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V24; #1654 ), references = 2, size of lhs = 20:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), P_add-{F}(V7,V3,V8), defined-{F}(V9), P_b-{F}(V9), less_or_equal-{F}(V2,V9), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), P_a-{F}(V12), P_add-{F}(V12,V12,V9), equalish-{F}(V0,V13), P_multiply-{F}(V13,V1,V14), equalish-{F}(V14,V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1694: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18; #1655 ), references = 3, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V6,V6,V7), less_or_equal-{F}(V7,V3), equalish-{F}(V0,V8), P_multiply-{F}(V8,V1,V9), equalish-{F}(V9,V4) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1725: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V17, V8 == V10, V10 == V12, V12 == V14, V14 == V18; #1715 ), references = 1, size of lhs = 23:
% 10.72/10.97 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), defined-{F}(V6), defined-{F}(V7), equalish-{F}(V5,V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_b-{F}(V11), P_add-{F}(V10,V10,V12), P_add-{F}(V13,V7,V12), less_or_equal-{F}(V13,V8), P_add-{F}(V11,V11,V14), less_or_equal-{F}(V3,V15), P_add-{F}(V15,V2,V16), P_add-{F}(V17,V6,V16), less_or_equal-{F}(V17,V18), P_add-{F}(V18,V6,V14) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1734: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V17, V8 == V10, V10 == V12, V12 == V14, V14 == V18; #1716 ), references = 1, size of lhs = 21:
% 10.72/10.97 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), defined-{F}(V6), defined-{F}(V7), P_a-{F}(V7), equalish-{F}(V5,V7), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_b-{F}(V10), P_add-{F}(V10,V10,V11), less_or_equal-{F}(V3,V12), P_add-{F}(V12,V2,V13), P_add-{F}(V14,V6,V13), less_or_equal-{F}(V14,V15), P_add-{F}(V15,V6,V11) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1745: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V16, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #1735 ), references = 2, size of lhs = 18:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), equalish-{F}(V5,V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V10), P_add-{F}(V11,V6,V10), less_or_equal-{F}(V11,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1754: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V16, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #1736 ), references = 2, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_a-{F}(V6), equalish-{F}(V5,V6), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1771: mergings( V3 == V5, V5 == V16, V4 == V6, V6 == V17; #1766 ), references = 1, size of lhs = 20:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), equalish-{F}(V7,V8), P_add-{F}(V8,V3,V9), defined-{F}(V10), P_b-{F}(V10), less_or_equal-{F}(V2,V10), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), P_a-{F}(V13), P_add-{F}(V13,V13,V10), equalish-{F}(V0,V14), P_multiply-{F}(V14,V1,V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1810: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V14; #1803 ), references = 2, size of lhs = 19:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), defined-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_add-{F}(V10,V10,V11), P_add-{F}(V12,V7,V11), less_or_equal-{F}(V12,V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1815: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V14; #1804 ), references = 3, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), defined-{F}(V7), P_a-{F}(V7), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1822: mergings( V3 == V5, V5 == V15, V4 == V6, V6 == V16; #1816 ), references = 1, size of lhs = 19:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), defined-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_add-{F}(V10,V10,V11), P_add-{F}(V12,V7,V11), less_or_equal-{F}(V12,V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1827: mergings( V3 == V5, V5 == V15, V4 == V6, V6 == V16; #1817 ), references = 2, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), defined-{F}(V7), P_a-{F}(V7), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1907: 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; #1889 ), references = 1, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V2), defined-{F}(V4), less_or_equal-{F}(V4,V2), P_add-{F}(V4,V0,V2), P_a-{F}(V4), P_add-{F}(V5,V4,V2), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V4,V6), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1923: 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; #1890 ), references = 1, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V2), defined-{F}(V4), less_or_equal-{F}(V4,V2), P_add-{F}(V4,V0,V2), P_a-{F}(V4), P_add-{F}(V5,V4,V2), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V4,V6), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1939: 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; #1891 ), references = 1, size of lhs = 19:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V2), defined-{F}(V4), less_or_equal-{F}(V4,V2), P_add-{F}(V4,V0,V2), P_add-{F}(V5,V4,V2), less_or_equal-{F}(V5,V6), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_add-{F}(V8,V8,V9), P_add-{F}(V10,V4,V9), less_or_equal-{F}(V10,V6) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1971: mergings( V2 == V4, V4 == V11, V11 == V14, V3 == V5, V5 == V12, V12 == V15; #1963 ), references = 1, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_b-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V0), P_add-{F}(V3,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V6), P_a-{F}(V6), less_or_equal-{F}(V6,V5), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1978: mergings( V2 == V4, V4 == V11, V11 == V14, V3 == V5, V5 == V12, V12 == V15; #1964 ), references = 1, size of lhs = 18:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_b-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V0), P_add-{F}(V3,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V6), less_or_equal-{F}(V6,V5), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V10), P_add-{F}(V11,V6,V10), less_or_equal-{F}(V11,V7) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #1999: mergings( V0 == V9, V1 == V10; #1994 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V0), P_add-{F}(V3,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V6), P_a-{F}(V6), less_or_equal-{F}(V6,V5), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2002: mergings( V0 == V9, V1 == V10; #1995 ), references = 1, size of lhs = 17:
% 10.72/10.97 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V0), P_add-{F}(V3,V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V6), less_or_equal-{F}(V6,V5), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V10), P_add-{F}(V11,V6,V10), less_or_equal-{F}(V11,V7) | less_or_equal-{T}(V0,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2016: mergings( V0 == V2, V1 == V4; #2011 ), references = 1, size of lhs = 9:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_b-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_add-{F}(V3,V3,V4), less_or_equal-{F}(V4,V1) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2019: mergings( V0 == V9, V1 == V10; #2012 ), references = 1, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V0), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V6), defined-{F}(V7), P_b-{F}(V7), P_multiplicative_identity-{F}(V8), P_a-{F}(V9), P_add-{F}(V9,V9,V10), less_or_equal-{F}(V10,V7) | less_or_equal-{T}(V7,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2022: mergings( V0 == V6, V1 == V7; #2013 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V6,V6,V7), less_or_equal-{F}(V7,V3), equalish-{F}(V1,V8), P_multiply-{F}(V8,V2,V9), equalish-{F}(V9,V4) | less_or_equal-{T}(V3,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2069: mergings( V3 == V6, V4 == V1; #2066 ), references = 1, size of lhs = 8:
% 10.72/10.97 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V1), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V3), less_or_equal-{F}(V0,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2127: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #2113 ), references = 3, size of lhs = 14:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_add-{F}(V6,V6,V7), less_or_equal-{F}(V7,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2140: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V22, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V23; #2114 ), references = 1, size of lhs = 21:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), P_add-{F}(V7,V3,V8), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V8), defined-{F}(V9), P_b-{F}(V9), less_or_equal-{F}(V2,V9), P_multiplicative_identity-{F}(V10), P_a-{F}(V11), P_add-{F}(V11,V11,V12), less_or_equal-{F}(V12,V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2153: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20; #2115 ), references = 1, size of lhs = 20:
% 10.72/10.97 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), defined-{F}(V6), P_b-{F}(V6), less_or_equal-{F}(V2,V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_add-{F}(V8,V8,V9), less_or_equal-{F}(V9,V6), equalish-{F}(V3,V10), P_multiply-{F}(V10,V4,V11), equalish-{F}(V11,V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2172: mergings( V0 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V9; #2166 ), references = 2, size of lhs = 13:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), less_or_equal-{F}(V1,V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V1,V2), defined-{F}(V2), P_b-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), less_or_equal-{F}(V5,V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2181: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #2173 ), references = 1, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_b-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_add-{F}(V3,V3,V4), less_or_equal-{F}(V4,V1) | less_or_equal-{T}(V1,V1)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2196: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #2189 ), references = 1, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V0,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), less_or_equal-{F}(V5,V1) | less_or_equal-{T}(V1,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2201: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V8; #2190 ), references = 1, size of lhs = 14:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), defined-{F}(V2), less_or_equal-{F}(V2,V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V0,V2), defined-{F}(V3), P_b-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_add-{F}(V5,V5,V6), less_or_equal-{F}(V6,V3) | less_or_equal-{T}(V3,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2206: mergings( V0 == V4, V4 == V9, V1 == V5, V5 == V10; #2191 ), references = 3, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V0,V3), defined-{F}(V4), P_b-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_add-{F}(V7,V7,V8), less_or_equal-{F}(V8,V4) | less_or_equal-{T}(V4,V0)
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2269: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V8, V8 == V10, V10 == V14; #2259 ), references = 2, size of lhs = 13:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_a-{F}(V3), P_add-{F}(V4,V0,V3), less_or_equal-{F}(V4,V1), less_or_equal-{F}(V3,V5), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_b-{F}(V7), less_or_equal-{F}(V2,V8), P_add-{F}(V7,V7,V8) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2277: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V8, V8 == V10, V10 == V14; #2260 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_add-{F}(V4,V0,V3), less_or_equal-{F}(V4,V1), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), P_add-{F}(V7,V7,V9), P_add-{F}(V10,V3,V9), less_or_equal-{F}(V10,V5), less_or_equal-{F}(V2,V11), P_add-{F}(V8,V8,V11) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2295: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V29, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V23, V23 == V30; #2261 ), references = 1, size of lhs = 25:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_add-{F}(V0,V1,V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V6,V8), defined-{F}(V8), P_b-{F}(V8), less_or_equal-{F}(V8,V8), defined-{F}(V9), less_or_equal-{F}(V9,V8), P_add-{F}(V9,V7,V5), defined-{F}(V10), P_a-{F}(V10), less_or_equal-{F}(V10,V11), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), P_add-{F}(V4,V6,V13), equalish-{F}(V13,V10), less_or_equal-{F}(V14,V1), P_add-{F}(V14,V0,V15), equalish-{F}(V15,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2314: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V26, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V20, V20 == V22, V22 == V27; #2296 ), references = 1, size of lhs = 21:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V1,V0,V3), defined-{F}(V3), P_b-{F}(V3), less_or_equal-{F}(V3,V3), defined-{F}(V4), less_or_equal-{F}(V4,V3), P_add-{F}(V2,V4,V5), equalish-{F}(V5,V6), defined-{F}(V7), P_a-{F}(V7), less_or_equal-{F}(V7,V8), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_add-{F}(V6,V0,V10), equalish-{F}(V10,V7), less_or_equal-{F}(V11,V1), P_add-{F}(V11,V4,V12), equalish-{F}(V12,V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2330: mergings( V3 == V9, V4 == V10; #2327 ), references = 1, size of lhs = 13:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_a-{F}(V4), P_add-{F}(V5,V0,V4), less_or_equal-{F}(V5,V1), less_or_equal-{F}(V4,V6), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_b-{F}(V8), P_add-{F}(V8,V8,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2334: mergings( V2 == V7, V3 == V8; #2331 ), references = 1, size of lhs = 11:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1), less_or_equal-{F}(V2,V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2341: mergings( V3 == V1, V0 == V7; #2338 ), references = 1, size of lhs = 13:
% 10.72/10.97 P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V1,V3), defined-{F}(V4), P_b-{F}(V4), less_or_equal-{F}(V3,V4), P_a-{F}(V5), P_add-{F}(V5,V5,V6), less_or_equal-{F}(V6,V4) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2397: mergings( V3 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V25, V4 == V9, V9 == V13, V13 == V17, V17 == V20, V20 == V26, V14 == V21, V11 == V27; #2383 ), references = 1, size of lhs = 25:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), less_or_equal-{F}(V3,V3), P_add-{F}(V4,V3,V2), equalish-{F}(V4,V5), P_additive_inverse-{F}(V3,V5), defined-{F}(V5), defined-{F}(V6), P_b-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_a-{F}(V8), equalish-{F}(V6,V8), P_add-{F}(V8,V8,V9), less_or_equal-{F}(V9,V6), P_add-{F}(V10,V7,V2), less_or_equal-{F}(V10,V11), P_add-{F}(V11,V7,V12), P_add-{F}(V6,V6,V12), less_or_equal-{F}(V8,V13), less_or_equal-{F}(V13,V13), P_additive_identity-{F}(V13), P_multiplicative_identity-{F}(V14) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2411: mergings( V3 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V25, V4 == V9, V9 == V13, V13 == V17, V17 == V20, V20 == V26, V14 == V27, V15 == V29, V11 == V28; #2384 ), references = 1, size of lhs = 26:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), less_or_equal-{F}(V3,V3), P_add-{F}(V4,V3,V2), equalish-{F}(V4,V5), P_additive_inverse-{F}(V3,V5), defined-{F}(V5), defined-{F}(V6), P_b-{F}(V6), defined-{F}(V7), defined-{F}(V8), equalish-{F}(V6,V8), P_add-{F}(V9,V7,V2), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V7,V11), P_add-{F}(V6,V6,V11), P_additive_identity-{F}(V12), less_or_equal-{F}(V12,V12), P_multiplicative_identity-{F}(V13), P_a-{F}(V14), P_add-{F}(V14,V14,V15), less_or_equal-{F}(V15,V6), P_add-{F}(V16,V8,V15), less_or_equal-{F}(V16,V12) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2426: mergings( V2 == V4, V4 == V8, V8 == V12, V12 == V14, V14 == V17, V3 == V5, V5 == V9, V9 == V13, V13 == V15, V15 == V18, V10 == V16, V7 == V0; #2412 ), references = 1, size of lhs = 15:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V1,V1), P_b-{F}(V1), defined-{F}(V2), P_a-{F}(V2), equalish-{F}(V1,V2), P_add-{F}(V2,V2,V3), less_or_equal-{F}(V3,V1), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2440: mergings( V2 == V4, V4 == V8, V8 == V12, V12 == V14, V14 == V17, V3 == V5, V5 == V9, V9 == V13, V13 == V15, V15 == V18, V10 == V19, V11 == V20, V7 == V0; #2413 ), references = 1, size of lhs = 16:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V1,V1), P_b-{F}(V1), defined-{F}(V2), equalish-{F}(V1,V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_add-{F}(V5,V5,V6), less_or_equal-{F}(V6,V1), P_add-{F}(V7,V2,V6), less_or_equal-{F}(V7,V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2480: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V14; #2470 ), references = 2, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), P_add-{F}(V5,V5,V7), P_add-{F}(V8,V0,V7), less_or_equal-{F}(V8,V1), less_or_equal-{F}(V2,V9), P_add-{F}(V6,V6,V9) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2485: mergings( V3 == V7, V4 == V8; #2482 ), references = 1, size of lhs = 12:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V2), P_add-{F}(V2,V1,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_b-{F}(V7), P_add-{F}(V7,V7,V3), P_add-{F}(V6,V6,V8), P_add-{F}(V9,V0,V8), less_or_equal-{F}(V9,V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2489: mergings( V2 == V5, V3 == V6; #2486 ), references = 1, size of lhs = 10:
% 10.72/10.97 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_add-{F}(V4,V4,V5), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2493: mergings( V2 == V5, V3 == V6; #2490 ), references = 1, size of lhs = 7:
% 10.72/10.97 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2504: mergings( V1 == V4, V4 == V6, V6 == V9, V2 == V5, V5 == V7, V7 == V10, V3 == V8; #2496 ), references = 2, size of lhs = 4:
% 10.72/10.97 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2509: mergings( V1 == V3, V2 == V4; #2506 ), references = 1, size of lhs = 2:
% 10.72/10.97 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2512: mergings( V1 == V2; #2510 ), references = 1, size of lhs = 1:
% 10.72/10.97 P_additive_identity-{F}(V0) | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 #2514: exists( #32, #2510 ), references = 1, size of lhs = 0:
% 10.72/10.97 FALSE | FALSE
% 10.72/10.97 (used 0 times, uses = {})
% 10.72/10.97
% 10.72/10.97 number of learnt formulas = 105
% 10.72/10.97
% 10.72/10.97
% 10.72/10.97 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.97
% 10.72/10.97 randbase = 1
%------------------------------------------------------------------------------