TSTP Solution File: FLD065-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD065-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:01:15 EDT 2022
% Result : Unsatisfiable 19.04s 19.27s
% Output : Refutation 19.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD065-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 10:31:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.04/19.27 GeoParameters:
% 19.04/19.27
% 19.04/19.27 tptp_input = 1
% 19.04/19.27 tptp_output = 0
% 19.04/19.27 nonempty = 1
% 19.04/19.27 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.04/19.27 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 19.04/19.27
% 19.04/19.27
% 19.04/19.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.04/19.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.04/19.27
% 19.04/19.27 RuleSystem INPUT:
% 19.04/19.27
% 19.04/19.27 Initial Rules:
% 19.04/19.27 #0: input, references = 6, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1: input, references = 22, size of lhs = 3:
% 19.04/19.27 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2: input, references = 19, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #3: input, references = 20, size of lhs = 5:
% 19.04/19.27 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #4: input, references = 3, size of lhs = 8:
% 19.04/19.27 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #5: input, references = 16, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #6: input, references = 7, size of lhs = 5:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #7: input, references = 19, size of lhs = 6:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #8: input, references = 7, size of lhs = 10:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #9: input, references = 3, size of lhs = 5:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #10: input, references = 3, size of lhs = 2:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #11: input, references = 5, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #12: input, references = 3, size of lhs = 5:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #13: input, references = 3, size of lhs = 2:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #14: input, references = 3, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #15: input, references = 5, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #16: input, references = 24, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #17: input, references = 11, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #18: input, references = 18, size of lhs = 6:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #19: input, references = 5, size of lhs = 5:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #20: input, references = 3, size of lhs = 3:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #21: input, references = 73, size of lhs = 3:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #22: input, references = 44, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #23: input, references = 11, size of lhs = 6:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #24: input, references = 10, size of lhs = 6:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #25: input, references = 59, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #26: input, references = 13, size of lhs = 3:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #27: input, references = 4, size of lhs = 3:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #28: input, references = 5, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V3) | less_or_equal-{T}(V3,V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #29: input, references = 9, size of lhs = 5:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V3), less_or_equal-{F}(V0,V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #30: input, references = 33, size of lhs = 2:
% 19.04/19.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #31: input, references = 4, size of lhs = 0:
% 19.04/19.27 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #32: input, references = 8, size of lhs = 1:
% 19.04/19.27 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #33: input, references = 15, size of lhs = 2:
% 19.04/19.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #34: input, references = 4, size of lhs = 0:
% 19.04/19.27 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #35: input, references = 3, size of lhs = 1:
% 19.04/19.27 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #36: input, references = 4, size of lhs = 0:
% 19.04/19.27 FALSE | EXISTS V0: P_a-{T}(V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 number of initial rules = 37
% 19.04/19.27
% 19.04/19.27 Simplifiers:
% 19.04/19.27 #37: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #38: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #39: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #40: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #41: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #42: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #43: unsound, references = 3, size of lhs = 3:
% 19.04/19.27 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 number of simplifiers = 7
% 19.04/19.27
% 19.04/19.27 Learnt:
% 19.04/19.27 #61: mergings( V0 == V3, V1 == V4, V4 == V6; #57 ), references = 1, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V0,V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), P_additive_inverse-{F}(V2,V4) | less_or_equal-{T}(V0,V1)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #71: mergings( V2 == V4, V4 == V5, V3 == V6, V6 == V7, V7 == V8, V8 == V9; #64 ), references = 1, size of lhs = 5:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #91: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #83 ), references = 1, size of lhs = 5:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #117: mergings( V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12; #109 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #124: mergings( V7 == V9, V9 == V11, V11 == V13, V8 == V10, V10 == V12, V12 == V15; #110 ), references = 3, size of lhs = 12:
% 19.04/19.27 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), P_a-{F}(V7), less_or_equal-{F}(V5,V7), P_multiplicative_identity-{F}(V8), P_additive_inverse-{F}(V7,V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #158: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #144 ), references = 1, size of lhs = 6:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #200: 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; #184 ), references = 3, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V2,V1), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #218: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #202 ), references = 1, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #224: mergings( V0 == V2, V1 == V4; #220 ), references = 2, size of lhs = 6:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_inverse-{F}(V1,V3) | less_or_equal-{T}(V1,V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #227: mergings( V0 == V9, V1 == V10; #221 ), references = 1, size of lhs = 13:
% 19.04/19.27 defined-{F}(V0), defined-{F}(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), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_additive_inverse-{F}(V1,V9) | less_or_equal-{T}(V1,V0)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #254: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V0 == V5, V5 == V7, V7 == V8, V8 == V10; #245 ), references = 1, size of lhs = 5:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V0), P_additive_identity-{F}(V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #265: mergings( V3 == V10, V10 == V11, V4 == V12, V12 == V13; #260 ), references = 2, size of lhs = 14:
% 19.04/19.27 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), P_additive_identity-{F}(V7), defined-{F}(V8), P_multiplicative_identity-{F}(V8), less_or_equal-{F}(V8,V7), less_or_equal-{F}(V9,V7), P_add-{F}(V9,V8,V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #284: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V14; #279 ), references = 8, size of lhs = 13:
% 19.04/19.27 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), less_or_equal-{F}(V4,V5), P_add-{F}(V5,V0,V6), less_or_equal-{F}(V6,V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_additive_inverse-{F}(V7,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #295: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V17, V1 == V5, V5 == V7, V7 == V9, V9 == V18; #286 ), references = 1, size of lhs = 15:
% 19.04/19.27 defined-{F}(V0), P_a-{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), less_or_equal-{F}(V6,V7), P_add-{F}(V7,V2,V8), equalish-{F}(V1,V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_additive_inverse-{F}(V0,V11) | less_or_equal-{T}(V0,V1)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #317: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V20, V20 == V26, V19 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18, V18 == V21, V21 == V27; #300 ), references = 4, size of lhs = 17:
% 19.04/19.27 P_a-{F}(V0), 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), less_or_equal-{F}(V4,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V0,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), P_add-{F}(V8,V6,V9), less_or_equal-{F}(V9,V5), P_multiplicative_identity-{F}(V10), P_additive_inverse-{F}(V0,V11) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #336: mergings( V3 == V11, V4 == V12; #333 ), references = 2, size of lhs = 13:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), less_or_equal-{F}(V3,V4), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V0,V6), less_or_equal-{F}(V6,V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_additive_inverse-{F}(V7,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #365: mergings( V3 == V5, V5 == V9, V9 == V17, V4 == V10, V10 == V18; #357 ), references = 1, size of lhs = 17:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_a-{F}(V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), less_or_equal-{F}(V8,V9), P_add-{F}(V9,V6,V10), P_add-{F}(V10,V5,V4), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), P_additive_inverse-{F}(V3,V13) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #371: mergings( V3 == V5, V5 == V9, V9 == V17, V4 == V10, V10 == V18; #358 ), references = 1, size of lhs = 17:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_a-{F}(V3), P_add-{F}(V0,V1,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), less_or_equal-{F}(V9,V10), P_add-{F}(V10,V5,V4), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), P_additive_inverse-{F}(V3,V13) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #384: mergings( V3 == V5, V5 == V7, V6 == V1; #379 ), references = 1, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), equalish-{F}(V2,V3), less_or_equal-{F}(V0,V3) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #388: mergings( V3 == V5, V5 == V9, V6 == V1; #380 ), references = 1, size of lhs = 11:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_add-{F}(V3,V0,V3), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #396: mergings( V3 == V4, V4 == V6, V5 == V0; #391 ), references = 3, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V0,V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #410: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V10, V3 == V4, V4 == V6, V6 == V0, V0 == V8, V8 == V11; #400 ), references = 1, size of lhs = 5:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #415: mergings( V2 == V3; #413 ), references = 1, size of lhs = 4:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #436: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #429 ), references = 2, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_add-{F}(V4,V1,V3), equalish-{F}(V4,V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #474: mergings( V3 == V4, V4 == V11, V11 == V13, V13 == V16, V0 == V5, V5 == V12, V12 == V14, V14 == V17; #464 ), references = 1, size of lhs = 13:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V5,V2,V6), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), P_add-{F}(V0,V7,V4), P_additive_identity-{F}(V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #482: exists( #32, #29 ), references = 3, size of lhs = 4:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), less_or_equal-{F}(V0,V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #483: exists( #32, #124 ), references = 3, size of lhs = 11:
% 19.04/19.27 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), P_a-{F}(V7), less_or_equal-{F}(V5,V7), P_multiplicative_identity-{F}(V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #484: exists( #32, #284 ), references = 6, size of lhs = 12:
% 19.04/19.27 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), less_or_equal-{F}(V4,V5), P_add-{F}(V5,V0,V6), less_or_equal-{F}(V6,V7), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #517: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #507 ), references = 1, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V1,V4), P_add-{F}(V4,V0,V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #525: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V16, V4 == V6, V6 == V8, V8 == V17; #508 ), references = 1, size of lhs = 14:
% 19.04/19.27 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), less_or_equal-{F}(V6,V0), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), less_or_equal-{F}(V8,V10), P_add-{F}(V10,V0,V7) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #533: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V17, V4 == V6, V6 == V8, V8 == V18; #509 ), references = 3, size of lhs = 15:
% 19.04/19.27 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), less_or_equal-{F}(V5,V6), P_add-{F}(V6,V1,V7), less_or_equal-{F}(V7,V0), P_a-{F}(V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), less_or_equal-{F}(V9,V11), P_add-{F}(V11,V0,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #574: mergings( V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V11; #566 ), references = 2, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_a-{F}(V2), P_add-{F}(V0,V2,V3), less_or_equal-{F}(V3,V2), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #581: mergings( V3 == V5, V5 == V7, V7 == V10, V9 == V12, V6 == V8, V8 == V11; #567 ), references = 2, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_a-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V0,V2,V3), less_or_equal-{F}(V3,V2), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #587: mergings( V3 == V5, V5 == V7, V7 == V11, V6 == V8, V8 == V12; #568 ), references = 1, size of lhs = 11:
% 19.04/19.27 defined-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V0,V2,V3), less_or_equal-{F}(V3,V2), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), less_or_equal-{F}(V5,V7), P_add-{F}(V7,V2,V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #603: mergings( V0 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V9; #596 ), references = 1, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_a-{F}(V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #609: mergings( V0 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V9; #597 ), references = 1, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_a-{F}(V2), P_additive_inverse-{F}(V2,V1), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #619: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10; #610 ), references = 1, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_a-{F}(V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V2,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #627: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10; #611 ), references = 1, size of lhs = 7:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V0,V0,V1), defined-{F}(V2), P_a-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V2,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #678: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #664 ), references = 3, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), less_or_equal-{F}(V0,V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V4,V1), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #690: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #665 ), references = 3, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), less_or_equal-{F}(V0,V2), P_multiplicative_identity-{F}(V3), P_additive_inverse-{F}(V2,V4), less_or_equal-{F}(V5,V1), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #702: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V21; #666 ), references = 4, size of lhs = 15:
% 19.04/19.27 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_a-{F}(V7), less_or_equal-{F}(V0,V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), less_or_equal-{F}(V10,V8), P_add-{F}(V10,V0,V11), equalish-{F}(V11,V6) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #709: exists( #30, #703 ), references = 3, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), P_a-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #710: exists( #30, #704 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), P_a-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_additive_inverse-{F}(V3,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #712: mergings( V3 == V10; #708 ), references = 2, size of lhs = 15:
% 19.04/19.27 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), 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,V7), P_additive_identity-{F}(V7), less_or_equal-{F}(V0,V7), P_a-{F}(V8), less_or_equal-{F}(V1,V8), P_multiplicative_identity-{F}(V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #718: mergings( V0 == V5, V1 == V6; #713 ), references = 1, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4) | less_or_equal-{T}(V0,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #721: mergings( V0 == V5, V1 == V6; #714 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_additive_inverse-{F}(V0,V5) | less_or_equal-{T}(V0,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #725: mergings( V0 == V4, V4 == V11, V1 == V12; #715 ), references = 1, size of lhs = 15:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), P_add-{F}(V7,V3,V8), P_additive_identity-{F}(V8), less_or_equal-{F}(V1,V8), P_multiplicative_identity-{F}(V9) | less_or_equal-{T}(V0,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #765: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #754 ), references = 2, size of lhs = 6:
% 19.04/19.27 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
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #841: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #827 ), references = 3, size of lhs = 11:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V2,V3), P_add-{F}(V4,V0,V3), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V0,V5), P_additive_identity-{F}(V5), less_or_equal-{F}(V1,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #853: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V19; #828 ), references = 1, size of lhs = 12:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V4), less_or_equal-{F}(V0,V4), P_additive_identity-{F}(V4), P_additive_inverse-{F}(V1,V5), defined-{F}(V5), P_a-{F}(V6), less_or_equal-{F}(V5,V6), P_multiplicative_identity-{F}(V7) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #865: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V24; #829 ), references = 1, size of lhs = 19:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V4), less_or_equal-{F}(V0,V4), P_additive_identity-{F}(V4), P_additive_inverse-{F}(V1,V5), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V6,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), P_add-{F}(V9,V7,V10), P_add-{F}(V10,V6,V4), P_a-{F}(V11), less_or_equal-{F}(V5,V11), P_multiplicative_identity-{F}(V12) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #885: mergings( V9 == V11, V3 == V4, V4 == V6, V6 == V10, V1 == V11, V5 == V7, V7 == V12; #875 ), references = 1, size of lhs = 10:
% 19.04/19.27 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), defined-{F}(V2), P_add-{F}(V2,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V4), P_additive_inverse-{F}(V0,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1044: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22; #1029 ), references = 1, size of lhs = 17:
% 19.04/19.27 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,V2), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), equalish-{F}(V0,V10), P_multiply-{F}(V10,V1,V11), less_or_equal-{F}(V11,V12), P_add-{F}(V12,V3,V13), less_or_equal-{F}(V13,V7) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1057: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22; #1030 ), references = 1, size of lhs = 18:
% 19.04/19.27 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,V2), P_a-{F}(V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_additive_inverse-{F}(V7,V10), equalish-{F}(V0,V11), P_multiply-{F}(V11,V1,V12), less_or_equal-{F}(V12,V13), P_add-{F}(V13,V3,V14), less_or_equal-{F}(V14,V7) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1070: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19; #1031 ), references = 3, size of lhs = 13:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V0,V1), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_a-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V3,V5), P_multiplicative_identity-{F}(V6), equalish-{F}(V0,V7), P_multiply-{F}(V7,V2,V8), less_or_equal-{F}(V8,V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1074: mergings( V0 == V6, V1 == V7; #1071 ), references = 1, size of lhs = 9:
% 19.04/19.27 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_add-{F}(V1,V4,V5) | equalish-{T}(V3,V5)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1101: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V0 == V5, V5 == V9, V9 == V11, V11 == V12; #1089 ), references = 1, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_add-{F}(V0,V2,V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1113: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16; #1090 ), references = 1, size of lhs = 13:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V1), defined-{F}(V4), P_multiplicative_inverse-{F}(V4,V0), P_add-{F}(V4,V2,V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1125: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V19, V0 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V17; #1091 ), references = 1, size of lhs = 17:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_additive_inverse-{F}(V1,V3), defined-{F}(V3), defined-{F}(V4), less_or_equal-{F}(V4,V1), defined-{F}(V5), less_or_equal-{F}(V5,V1), defined-{F}(V6), P_multiplicative_inverse-{F}(V6,V0), P_add-{F}(V6,V3,V6), P_additive_inverse-{F}(V6,V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V7,V4,V2), less_or_equal-{F}(V7,V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1214: mergings( V12 == V15, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V6 == V8, V8 == V10, V10 == V16; #1203 ), references = 1, size of lhs = 12:
% 19.04/19.27 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V2,V4,V5), equalish-{F}(V5,V6), less_or_equal-{F}(V6,V1), P_multiplicative_identity-{F}(V7), P_additive_inverse-{F}(V0,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1222: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V17, V6 == V8, V8 == V10, V10 == V18; #1204 ), references = 2, size of lhs = 13:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V5), less_or_equal-{F}(V5,V6), P_add-{F}(V6,V0,V7), less_or_equal-{F}(V7,V8), P_a-{F}(V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1230: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V17, V6 == V8, V8 == V10, V10 == V18; #1205 ), references = 2, size of lhs = 14:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V5), less_or_equal-{F}(V5,V6), P_add-{F}(V6,V0,V7), less_or_equal-{F}(V7,V8), P_a-{F}(V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_additive_inverse-{F}(V8,V11) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1337: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15; #1324 ), references = 3, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1349: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16; #1325 ), references = 2, size of lhs = 11:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), P_multiply-{F}(V5,V4,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1361: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V21, V4 == V6, V6 == V8, V8 == V14, V14 == V16, V16 == V22; #1326 ), references = 6, size of lhs = 18:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), equalish-{F}(V2,V3), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V1,V6), defined-{F}(V8), P_additive_inverse-{F}(V8,V6), less_or_equal-{F}(V8,V1), P_a-{F}(V9), P_multiplicative_identity-{F}(V10), P_multiply-{F}(V5,V7,V11), less_or_equal-{F}(V11,V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1417: mergings( V3 == V5, V5 == V7, V6 == V14; #1412 ), references = 4, size of lhs = 19:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V1), equalish-{F}(V4,V0), equalish-{F}(V2,V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V3,V6), defined-{F}(V8), P_additive_inverse-{F}(V8,V6), less_or_equal-{F}(V8,V3), P_a-{F}(V9), P_multiplicative_identity-{F}(V10), P_multiply-{F}(V5,V7,V11), less_or_equal-{F}(V11,V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1421: mergings( V3 == V5, V5 == V12, V6 == V13; #1413 ), references = 1, size of lhs = 15:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), P_add-{F}(V4,V2,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V0), P_a-{F}(V7), less_or_equal-{F}(V1,V7), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), less_or_equal-{F}(V10,V8), P_add-{F}(V10,V1,V3) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1445: mergings( V0 == V6, V1 == V13; #1440 ), references = 4, size of lhs = 20:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V3), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V2), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V4,V7), defined-{F}(V9), P_additive_inverse-{F}(V9,V7), less_or_equal-{F}(V9,V4), P_a-{F}(V10), P_multiplicative_identity-{F}(V11), P_multiply-{F}(V11,V8,V12), less_or_equal-{F}(V12,V10) | equalish-{T}(V0,V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1448: mergings( V0 == V7, V1 == V13; #1441 ), references = 1, size of lhs = 21:
% 19.04/19.27 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,V2), defined-{F}(V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V4), equalish-{F}(V6,V3), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V5,V7), defined-{F}(V9), P_additive_inverse-{F}(V9,V7), less_or_equal-{F}(V9,V5), P_a-{F}(V10), P_multiplicative_identity-{F}(V11), P_multiply-{F}(V11,V8,V12), less_or_equal-{F}(V12,V10) | equalish-{T}(V0,V5)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1451: mergings( V0 == V12, V1 == V13; #1442 ), references = 1, size of lhs = 19:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V2), defined-{F}(V3), 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,V4), P_a-{F}(V9), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11), P_multiply-{F}(V11,V3,V12), less_or_equal-{F}(V12,V13), P_add-{F}(V13,V5,V14), less_or_equal-{F}(V14,V9) | equalish-{T}(V0,V10)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1497: mergings( V3 == V4, V4 == V6, V6 == V12, V12 == V18, V5 == V7, V7 == V8, V8 == V0, V0 == V19; #1486 ), references = 1, size of lhs = 19:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V3), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V2), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V4,V7), defined-{F}(V9), P_additive_inverse-{F}(V9,V7), less_or_equal-{F}(V9,V4), P_a-{F}(V10), less_or_equal-{F}(V8,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1507: mergings( V3 == V4, V4 == V6, V6 == V12, V12 == V18, V18 == V23, V5 == V7, V7 == V8, V8 == V0, V0 == V19; #1487 ), references = 1, size of lhs = 24:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V3), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V2), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V4,V7), defined-{F}(V9), P_additive_inverse-{F}(V9,V7), less_or_equal-{F}(V9,V4), P_a-{F}(V10), less_or_equal-{F}(V8,V10), defined-{F}(V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V11), equalish-{F}(V12,V13), P_add-{F}(V13,V11,V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1518: mergings( V3 == V4, V4 == V6, V6 == V11, V11 == V17, V17 == V21, V14 == V19, V5 == V7, V7 == V0, V0 == V18, V18 == V22; #1488 ), references = 1, size of lhs = 22:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V3), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V2), defined-{F}(V7), less_or_equal-{F}(V7,V4), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_a-{F}(V9), defined-{F}(V10), less_or_equal-{F}(V10,V9), P_multiply-{F}(V10,V4,V8), defined-{F}(V11), P_additive_inverse-{F}(V11,V8), less_or_equal-{F}(V11,V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1646: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V17, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V23; #1633 ), references = 4, size of lhs = 23:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), P_additive_identity-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V5), equalish-{F}(V4,V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V6,V8), defined-{F}(V10), P_additive_inverse-{F}(V10,V8), less_or_equal-{F}(V10,V6), P_a-{F}(V11), P_multiplicative_identity-{F}(V12), P_add-{F}(V3,V5,V13), equalish-{F}(V13,V14), P_multiply-{F}(V14,V9,V15), less_or_equal-{F}(V15,V11) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1657: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V18, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V25; #1634 ), references = 1, size of lhs = 24:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), defined-{F}(V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V5), P_add-{F}(V5,V3,V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V5), equalish-{F}(V4,V8), equalish-{F}(V6,V9), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V7,V10), defined-{F}(V12), P_additive_inverse-{F}(V12,V10), less_or_equal-{F}(V12,V7), P_a-{F}(V13), P_multiplicative_identity-{F}(V14), P_multiply-{F}(V9,V11,V15), less_or_equal-{F}(V15,V13) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1666: mergings( V3 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V11, V11 == V13, V13 == V17, V17 == V19; #1635 ), references = 1, size of lhs = 20:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V5,V4,V6), less_or_equal-{F}(V6,V7), P_additive_identity-{F}(V7), P_multiply-{F}(V3,V2,V8), defined-{F}(V8), defined-{F}(V9), less_or_equal-{F}(V9,V7), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), P_multiplicative_identity-{F}(V10), less_or_equal-{F}(V10,V11), P_add-{F}(V12,V8,V11), less_or_equal-{F}(V12,V7) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1781: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V24, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V25; #1765 ), references = 1, size of lhs = 19:
% 19.04/19.27 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}(V4,V6,V7), equalish-{F}(V2,V7), P_a-{F}(V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), equalish-{F}(V0,V11), P_multiply-{F}(V11,V1,V12), less_or_equal-{F}(V12,V13), less_or_equal-{F}(V13,V14), P_add-{F}(V14,V3,V15), less_or_equal-{F}(V15,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1796: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V24, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V25; #1766 ), references = 1, size of lhs = 20:
% 19.04/19.27 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}(V4,V6,V7), equalish-{F}(V2,V7), P_a-{F}(V8), P_additive_identity-{F}(V9), P_multiplicative_identity-{F}(V10), P_additive_inverse-{F}(V8,V11), equalish-{F}(V0,V12), P_multiply-{F}(V12,V1,V13), less_or_equal-{F}(V13,V14), less_or_equal-{F}(V14,V15), P_add-{F}(V15,V3,V16), less_or_equal-{F}(V16,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1800: mergings( V0 == V8, V1 == V13; #1797 ), references = 4, size of lhs = 24:
% 19.04/19.27 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_multiply-{F}(V4,V3,V3), P_multiply-{F}(V0,V4,V5), defined-{F}(V6), P_additive_inverse-{F}(V0,V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V7,V8), defined-{F}(V10), P_additive_inverse-{F}(V10,V8), less_or_equal-{F}(V10,V7), P_a-{F}(V11), P_add-{F}(V5,V6,V12), equalish-{F}(V12,V13), P_multiply-{F}(V13,V9,V14), less_or_equal-{F}(V14,V11) | equalish-{T}(V1,V7)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1845: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V17, V17 == V24, V18 == V28, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V30; #1831 ), references = 2, size of lhs = 33:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), P_additive_inverse-{F}(V1,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), less_or_equal-{F}(V6,V8), defined-{F}(V8), P_additive_identity-{F}(V8), P_add-{F}(V4,V5,V9), equalish-{F}(V9,V0), P_a-{F}(V10), defined-{F}(V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V11), P_multiplicative_inverse-{F}(V12,V13), P_multiply-{F}(V12,V13,V2), P_add-{F}(V8,V11,V14), equalish-{F}(V14,V0), defined-{F}(V15), P_multiply-{F}(V15,V8,V7), P_multiply-{F}(V15,V0,V16), less_or_equal-{F}(V16,V17), less_or_equal-{F}(V17,V10), defined-{F}(V18), P_additive_inverse-{F}(V18,V7), less_or_equal-{F}(V18,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1857: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V17, V17 == V29, V18 == V31, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V33; #1832 ), references = 2, size of lhs = 38:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), P_additive_inverse-{F}(V1,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), less_or_equal-{F}(V6,V8), defined-{F}(V8), P_additive_identity-{F}(V8), P_add-{F}(V4,V5,V9), equalish-{F}(V9,V0), P_a-{F}(V10), defined-{F}(V11), defined-{F}(V12), P_multiplicative_inverse-{F}(V12,V13), P_multiply-{F}(V12,V13,V2), P_multiply-{F}(V8,V11,V14), P_multiply-{F}(V11,V12,V15), defined-{F}(V16), defined-{F}(V17), P_additive_inverse-{F}(V17,V16), equalish-{F}(V15,V17), defined-{F}(V18), P_multiply-{F}(V18,V8,V7), P_multiply-{F}(V18,V0,V19), less_or_equal-{F}(V19,V20), less_or_equal-{F}(V20,V10), defined-{F}(V21), P_additive_inverse-{F}(V21,V7), less_or_equal-{F}(V21,V8), P_add-{F}(V14,V16,V22), equalish-{F}(V22,V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1869: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V17, V17 == V25, V18 == V28, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V30; #1833 ), references = 1, size of lhs = 33:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), P_additive_inverse-{F}(V1,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), less_or_equal-{F}(V6,V8), defined-{F}(V8), P_additive_identity-{F}(V8), P_add-{F}(V4,V5,V9), equalish-{F}(V9,V0), P_a-{F}(V10), defined-{F}(V11), P_add-{F}(V11,V8,V12), equalish-{F}(V12,V0), defined-{F}(V13), P_additive_inverse-{F}(V13,V11), P_multiplicative_inverse-{F}(V13,V14), P_multiply-{F}(V13,V14,V2), defined-{F}(V15), P_multiply-{F}(V15,V8,V7), P_multiply-{F}(V15,V0,V16), less_or_equal-{F}(V16,V17), less_or_equal-{F}(V17,V10), defined-{F}(V18), P_additive_inverse-{F}(V18,V7), less_or_equal-{F}(V18,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1909: mergings( V3 == V4, V4 == V6, V6 == V15, V0 == V5, V5 == V7, V7 == V8; #1900 ), references = 1, size of lhs = 31:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), P_additive_inverse-{F}(V1,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), less_or_equal-{F}(V6,V8), defined-{F}(V8), P_additive_identity-{F}(V8), P_multiply-{F}(V1,V8,V7), P_add-{F}(V4,V5,V9), equalish-{F}(V9,V0), P_a-{F}(V10), defined-{F}(V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V11), P_multiplicative_inverse-{F}(V12,V13), P_multiply-{F}(V12,V13,V2), P_add-{F}(V8,V11,V14), equalish-{F}(V14,V0), less_or_equal-{F}(V0,V15), less_or_equal-{F}(V15,V10), defined-{F}(V16), P_additive_inverse-{F}(V16,V7), less_or_equal-{F}(V16,V8) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1916: mergings( V3 == V4, V4 == V6, V6 == V15, V0 == V5, V5 == V7, V7 == V8; #1901 ), references = 1, size of lhs = 36:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), P_additive_inverse-{F}(V1,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), less_or_equal-{F}(V6,V8), defined-{F}(V8), P_additive_identity-{F}(V8), P_multiply-{F}(V1,V8,V7), P_add-{F}(V4,V5,V9), equalish-{F}(V9,V0), P_a-{F}(V10), defined-{F}(V11), defined-{F}(V12), P_multiplicative_inverse-{F}(V12,V13), P_multiply-{F}(V12,V13,V2), P_multiply-{F}(V8,V11,V14), P_multiply-{F}(V11,V12,V15), defined-{F}(V16), defined-{F}(V17), P_additive_inverse-{F}(V17,V16), equalish-{F}(V15,V17), less_or_equal-{F}(V0,V18), less_or_equal-{F}(V18,V10), defined-{F}(V19), P_additive_inverse-{F}(V19,V7), less_or_equal-{F}(V19,V8), P_add-{F}(V14,V16,V20), equalish-{F}(V20,V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1927: mergings( V3 == V5, V5 == V7, V7 == V0, V4 == V6, V6 == V8, V8 == V9; #1919 ), references = 1, size of lhs = 25:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V1), P_multiply-{F}(V0,V2,V3), defined-{F}(V3), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V0,V4), defined-{F}(V4), defined-{F}(V5), less_or_equal-{F}(V5,V3), P_additive_inverse-{F}(V5,V6), defined-{F}(V6), P_multiply-{F}(V0,V3,V6), P_a-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V4), P_multiplicative_inverse-{F}(V8,V9), P_multiply-{F}(V8,V9,V1), less_or_equal-{F}(V4,V10), less_or_equal-{F}(V10,V7), defined-{F}(V11), P_additive_inverse-{F}(V11,V6), less_or_equal-{F}(V11,V3) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1935: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V14, V4 == V6, V6 == V8, V8 == V9; #1920 ), references = 1, size of lhs = 30:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V1), P_multiply-{F}(V0,V2,V3), defined-{F}(V3), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V0,V4), defined-{F}(V4), defined-{F}(V5), less_or_equal-{F}(V5,V3), P_additive_inverse-{F}(V5,V6), defined-{F}(V6), P_multiply-{F}(V0,V3,V6), P_a-{F}(V7), defined-{F}(V8), P_multiply-{F}(V3,V8,V3), defined-{F}(V9), P_multiplicative_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V1), P_multiply-{F}(V8,V9,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V4), equalish-{F}(V11,V12), less_or_equal-{F}(V4,V13), less_or_equal-{F}(V13,V7), defined-{F}(V14), P_additive_inverse-{F}(V14,V6), less_or_equal-{F}(V14,V3) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1946: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V12, V1 == V4, V4 == V6, V6 == V8, V8 == V9; #1936 ), references = 1, size of lhs = 23:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V1), P_multiply-{F}(V0,V2,V3), defined-{F}(V3), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V0,V4), defined-{F}(V4), P_a-{F}(V4), defined-{F}(V5), less_or_equal-{F}(V5,V3), P_additive_inverse-{F}(V5,V6), defined-{F}(V6), P_multiply-{F}(V0,V3,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V4), P_multiplicative_inverse-{F}(V7,V8), P_multiply-{F}(V7,V8,V1), defined-{F}(V9), P_additive_inverse-{F}(V9,V6), less_or_equal-{F}(V9,V3) | less_or_equal-{T}(V4,V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #1956: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V15, V1 == V5, V5 == V7, V7 == V9, V9 == V10; #1937 ), references = 1, size of lhs = 28:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V1), P_multiply-{F}(V0,V2,V3), defined-{F}(V3), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V0,V4), defined-{F}(V4), P_a-{F}(V4), defined-{F}(V5), less_or_equal-{F}(V5,V3), P_additive_inverse-{F}(V5,V6), defined-{F}(V6), P_multiply-{F}(V0,V3,V6), defined-{F}(V7), P_multiply-{F}(V3,V7,V3), defined-{F}(V8), P_multiplicative_inverse-{F}(V8,V9), P_multiply-{F}(V8,V9,V1), P_multiply-{F}(V7,V8,V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V4), equalish-{F}(V10,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V6), less_or_equal-{F}(V12,V3) | less_or_equal-{T}(V4,V4)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2091: mergings( V3 == V5, V5 == V9, V6 == V8; #2086 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), equalish-{F}(V3,V0), equalish-{F}(V2,V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2095: mergings( V3 == V5, V5 == V9, V6 == V8; #2087 ), references = 1, size of lhs = 12:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), equalish-{F}(V3,V0), equalish-{F}(V2,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), P_multiply-{F}(V5,V4,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2152: mergings( V3 == V10, V4 == V16; #2148 ), references = 1, size of lhs = 23:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V2), equalish-{F}(V8,V4), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V7,V9), defined-{F}(V11), P_additive_inverse-{F}(V11,V9), less_or_equal-{F}(V11,V7), P_a-{F}(V12), P_multiplicative_identity-{F}(V13), P_multiply-{F}(V6,V10,V14), less_or_equal-{F}(V14,V12) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2155: mergings( V3 == V14, V4 == V20; #2149 ), references = 1, size of lhs = 28:
% 19.04/19.27 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), defined-{F}(V8), equalish-{F}(V8,V9), P_multiply-{F}(V9,V7,V4), P_multiply-{F}(V7,V8,V10), defined-{F}(V11), P_additive_identity-{F}(V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V2), equalish-{F}(V10,V12), defined-{F}(V13), defined-{F}(V14), P_multiply-{F}(V14,V11,V13), defined-{F}(V15), P_additive_inverse-{F}(V15,V13), less_or_equal-{F}(V15,V11), P_a-{F}(V16), P_multiplicative_identity-{F}(V17), P_multiply-{F}(V6,V14,V18), less_or_equal-{F}(V18,V16) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2160: mergings( V0 == V10, V1 == V15; #2156 ), references = 4, size of lhs = 25:
% 19.04/19.27 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}(V4), defined-{F}(V5), P_multiply-{F}(V4,V5,V3), equalish-{F}(V5,V6), P_multiply-{F}(V6,V4,V7), defined-{F}(V8), P_additive_inverse-{F}(V0,V8), defined-{F}(V9), P_additive_identity-{F}(V9), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V9,V10), defined-{F}(V12), P_additive_inverse-{F}(V12,V10), less_or_equal-{F}(V12,V9), P_a-{F}(V13), P_add-{F}(V7,V8,V14), equalish-{F}(V14,V15), P_multiply-{F}(V15,V11,V16), less_or_equal-{F}(V16,V13) | equalish-{T}(V1,V9)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2163: mergings( V0 == V11, V1 == V17; #2157 ), references = 1, size of lhs = 26:
% 19.04/19.27 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}(V4), defined-{F}(V5), P_multiply-{F}(V4,V5,V3), equalish-{F}(V5,V6), P_multiply-{F}(V6,V4,V7), defined-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V0,V8), P_add-{F}(V8,V7,V9), defined-{F}(V10), P_additive_identity-{F}(V10), equalish-{F}(V9,V11), defined-{F}(V12), defined-{F}(V13), P_multiply-{F}(V13,V10,V12), defined-{F}(V14), P_additive_inverse-{F}(V14,V12), less_or_equal-{F}(V14,V10), P_a-{F}(V15), P_multiply-{F}(V11,V13,V16), less_or_equal-{F}(V16,V15) | equalish-{T}(V1,V10)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2210: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V19, V19 == V26, V20 == V30, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V32; #2196 ), references = 2, size of lhs = 34:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V2,V3,V4), equalish-{F}(V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V1,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), less_or_equal-{F}(V8,V10), defined-{F}(V10), P_additive_identity-{F}(V10), P_add-{F}(V6,V7,V11), equalish-{F}(V11,V0), P_a-{F}(V12), defined-{F}(V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V13), P_multiplicative_inverse-{F}(V14,V15), P_multiply-{F}(V14,V15,V4), P_add-{F}(V10,V13,V16), equalish-{F}(V16,V0), defined-{F}(V17), P_multiply-{F}(V17,V10,V9), P_multiply-{F}(V17,V0,V18), less_or_equal-{F}(V18,V19), less_or_equal-{F}(V19,V12), defined-{F}(V20), P_additive_inverse-{F}(V20,V9), less_or_equal-{F}(V20,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2222: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V19, V19 == V31, V20 == V33, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V35; #2197 ), references = 2, size of lhs = 39:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V2,V3,V4), equalish-{F}(V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V1,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), less_or_equal-{F}(V8,V10), defined-{F}(V10), P_additive_identity-{F}(V10), P_add-{F}(V6,V7,V11), equalish-{F}(V11,V0), P_a-{F}(V12), defined-{F}(V13), defined-{F}(V14), P_multiplicative_inverse-{F}(V14,V15), P_multiply-{F}(V14,V15,V4), P_multiply-{F}(V10,V13,V16), P_multiply-{F}(V13,V14,V17), defined-{F}(V18), defined-{F}(V19), P_additive_inverse-{F}(V19,V18), equalish-{F}(V17,V19), defined-{F}(V20), P_multiply-{F}(V20,V10,V9), P_multiply-{F}(V20,V0,V21), less_or_equal-{F}(V21,V22), less_or_equal-{F}(V22,V12), defined-{F}(V23), P_additive_inverse-{F}(V23,V9), less_or_equal-{F}(V23,V10), P_add-{F}(V16,V18,V24), equalish-{F}(V24,V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2234: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V19, V19 == V27, V20 == V30, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V32; #2198 ), references = 1, size of lhs = 34:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V2,V3,V4), equalish-{F}(V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V1,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), less_or_equal-{F}(V8,V10), defined-{F}(V10), P_additive_identity-{F}(V10), P_add-{F}(V6,V7,V11), equalish-{F}(V11,V0), P_a-{F}(V12), defined-{F}(V13), P_add-{F}(V13,V10,V14), equalish-{F}(V14,V0), defined-{F}(V15), P_additive_inverse-{F}(V15,V13), P_multiplicative_inverse-{F}(V15,V16), P_multiply-{F}(V15,V16,V4), defined-{F}(V17), P_multiply-{F}(V17,V10,V9), P_multiply-{F}(V17,V0,V18), less_or_equal-{F}(V18,V19), less_or_equal-{F}(V19,V12), defined-{F}(V20), P_additive_inverse-{F}(V20,V9), less_or_equal-{F}(V20,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2253: mergings( V3 == V4, V4 == V6, V6 == V17, V0 == V5, V5 == V7, V7 == V8; #2244 ), references = 1, size of lhs = 32:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V2,V3,V4), equalish-{F}(V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V1,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), less_or_equal-{F}(V8,V10), defined-{F}(V10), P_additive_identity-{F}(V10), P_multiply-{F}(V1,V10,V9), P_add-{F}(V6,V7,V11), equalish-{F}(V11,V0), P_a-{F}(V12), defined-{F}(V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V13), P_multiplicative_inverse-{F}(V14,V15), P_multiply-{F}(V14,V15,V4), P_add-{F}(V10,V13,V16), equalish-{F}(V16,V0), less_or_equal-{F}(V0,V17), less_or_equal-{F}(V17,V12), defined-{F}(V18), P_additive_inverse-{F}(V18,V9), less_or_equal-{F}(V18,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2260: mergings( V3 == V4, V4 == V6, V6 == V17, V0 == V5, V5 == V7, V7 == V8; #2245 ), references = 1, size of lhs = 37:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V2,V3,V4), equalish-{F}(V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V7), P_additive_inverse-{F}(V1,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), less_or_equal-{F}(V8,V10), defined-{F}(V10), P_additive_identity-{F}(V10), P_multiply-{F}(V1,V10,V9), P_add-{F}(V6,V7,V11), equalish-{F}(V11,V0), P_a-{F}(V12), defined-{F}(V13), defined-{F}(V14), P_multiplicative_inverse-{F}(V14,V15), P_multiply-{F}(V14,V15,V4), P_multiply-{F}(V10,V13,V16), P_multiply-{F}(V13,V14,V17), defined-{F}(V18), defined-{F}(V19), P_additive_inverse-{F}(V19,V18), equalish-{F}(V17,V19), less_or_equal-{F}(V0,V20), less_or_equal-{F}(V20,V12), defined-{F}(V21), P_additive_inverse-{F}(V21,V9), less_or_equal-{F}(V21,V10), P_add-{F}(V16,V18,V22), equalish-{F}(V22,V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2271: mergings( V3 == V5, V5 == V7, V7 == V0, V4 == V6, V6 == V8, V8 == V9; #2263 ), references = 1, size of lhs = 26:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V1,V2,V3), equalish-{F}(V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), P_additive_identity-{F}(V5), P_additive_inverse-{F}(V0,V6), defined-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V5), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_multiply-{F}(V0,V5,V8), P_a-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V6), P_multiplicative_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V3), less_or_equal-{F}(V6,V12), less_or_equal-{F}(V12,V9), defined-{F}(V13), P_additive_inverse-{F}(V13,V8), less_or_equal-{F}(V13,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2279: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V16, V4 == V6, V6 == V8, V8 == V9; #2264 ), references = 1, size of lhs = 31:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V1,V2,V3), equalish-{F}(V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), P_additive_identity-{F}(V5), P_additive_inverse-{F}(V0,V6), defined-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V5), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_multiply-{F}(V0,V5,V8), P_a-{F}(V9), defined-{F}(V10), P_multiply-{F}(V5,V10,V5), defined-{F}(V11), P_multiplicative_inverse-{F}(V11,V12), P_multiply-{F}(V11,V12,V3), P_multiply-{F}(V10,V11,V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V6), equalish-{F}(V13,V14), less_or_equal-{F}(V6,V15), less_or_equal-{F}(V15,V9), defined-{F}(V16), P_additive_inverse-{F}(V16,V8), less_or_equal-{F}(V16,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2290: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V14, V1 == V4, V4 == V6, V6 == V8, V8 == V9; #2280 ), references = 1, size of lhs = 24:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V1,V2,V3), equalish-{F}(V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), P_additive_identity-{F}(V5), P_additive_inverse-{F}(V0,V6), defined-{F}(V6), P_a-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V5), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_multiply-{F}(V0,V5,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V6), P_multiplicative_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V3), defined-{F}(V11), P_additive_inverse-{F}(V11,V8), less_or_equal-{F}(V11,V5) | less_or_equal-{T}(V6,V6)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2300: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V17, V1 == V5, V5 == V7, V7 == V9, V9 == V10; #2281 ), references = 1, size of lhs = 29:
% 19.04/19.27 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V1,V2,V3), equalish-{F}(V2,V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), P_additive_identity-{F}(V5), P_additive_inverse-{F}(V0,V6), defined-{F}(V6), P_a-{F}(V6), defined-{F}(V7), less_or_equal-{F}(V7,V5), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), P_multiply-{F}(V0,V5,V8), defined-{F}(V9), P_multiply-{F}(V5,V9,V5), defined-{F}(V10), P_multiplicative_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V3), P_multiply-{F}(V9,V10,V12), defined-{F}(V13), P_additive_inverse-{F}(V13,V6), equalish-{F}(V12,V13), defined-{F}(V14), P_additive_inverse-{F}(V14,V8), less_or_equal-{F}(V14,V5) | less_or_equal-{T}(V6,V6)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2416: mergings( V12 == V17, V3 == V5, V5 == V7, V7 == V9, V9 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V18; #2404 ), references = 1, size of lhs = 13:
% 19.04/19.27 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V5,V2,V6), equalish-{F}(V6,V7), less_or_equal-{F}(V7,V1), P_multiplicative_identity-{F}(V8), P_additive_inverse-{F}(V0,V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2425: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V20; #2405 ), references = 1, size of lhs = 14:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), equalish-{F}(V3,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V6), less_or_equal-{F}(V6,V7), P_add-{F}(V7,V0,V8), less_or_equal-{F}(V8,V9), P_a-{F}(V9), P_additive_identity-{F}(V10), P_multiplicative_identity-{F}(V11) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2434: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V21; #2406 ), references = 1, size of lhs = 17:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), equalish-{F}(V4,V5), P_add-{F}(V5,V2,V6), equalish-{F}(V6,V7), less_or_equal-{F}(V7,V8), P_add-{F}(V8,V1,V9), less_or_equal-{F}(V9,V0), P_a-{F}(V10), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), less_or_equal-{F}(V11,V13), P_add-{F}(V13,V0,V10) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2482: mergings( V3 == V5, V5 == V7, V6 == V9; #2476 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), less_or_equal-{F}(V0,V3), P_a-{F}(V4), less_or_equal-{F}(V1,V4), P_multiplicative_identity-{F}(V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2486: mergings( V3 == V5, V5 == V7, V6 == V9; #2477 ), references = 1, size of lhs = 10:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), less_or_equal-{F}(V0,V3), P_a-{F}(V4), less_or_equal-{F}(V1,V4), P_multiplicative_identity-{F}(V5), P_additive_inverse-{F}(V4,V6) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2490: mergings( V3 == V5, V5 == V14, V6 == V15; #2478 ), references = 1, size of lhs = 16:
% 19.04/19.27 defined-{F}(V0), 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), equalish-{F}(V2,V8), P_a-{F}(V9), less_or_equal-{F}(V1,V9), P_additive_identity-{F}(V10), less_or_equal-{F}(V0,V10), P_multiplicative_identity-{F}(V11) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2500: mergings( V3 == V4, V4 == V6, V5 == V8; #2494 ), references = 2, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), P_a-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2504: mergings( V3 == V4, V4 == V6, V5 == V8; #2495 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), P_a-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_additive_inverse-{F}(V3,V5) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2509: mergings( V3 == V4, V4 == V5, V5 == V13, V6 == V14; #2496 ), references = 1, size of lhs = 15:
% 19.04/19.27 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), 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,V7), P_additive_identity-{F}(V7), less_or_equal-{F}(V0,V7), P_a-{F}(V8), less_or_equal-{F}(V1,V8), P_multiplicative_identity-{F}(V9) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2518: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V7, V7 == V9; #2510 ), references = 1, size of lhs = 8:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4) | less_or_equal-{T}(V0,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2524: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V7, V7 == V9; #2511 ), references = 1, size of lhs = 9:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), P_multiplicative_identity-{F}(V4), P_additive_inverse-{F}(V0,V5) | less_or_equal-{T}(V0,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2531: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V14, V1 == V8, V8 == V15; #2512 ), references = 1, size of lhs = 15:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), 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}(V1,V8), P_multiplicative_identity-{F}(V9) | less_or_equal-{T}(V0,V2)
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2553: mergings( V2 == V5, V5 == V7, V7 == V8, V8 == V11, V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12; #2541 ), references = 1, size of lhs = 4:
% 19.04/19.27 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2569: mergings( V1 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V12, V2 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13; #2556 ), references = 1, size of lhs = 2:
% 19.04/19.27 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2577: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2570 ), references = 1, size of lhs = 1:
% 19.04/19.27 P_additive_identity-{F}(V0) | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 #2580: exists( #31, #2570 ), references = 1, size of lhs = 0:
% 19.04/19.27 FALSE | FALSE
% 19.04/19.27 (used 0 times, uses = {})
% 19.04/19.27
% 19.04/19.27 number of learnt formulas = 119
% 19.04/19.27
% 19.04/19.27
% 19.04/19.27 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.04/19.27
% 19.04/19.27 randbase = 1
%------------------------------------------------------------------------------