TSTP Solution File: FLD010-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:01:02 EDT 2022
% Result : Unsatisfiable 21.74s 21.94s
% Output : Refutation 21.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 10:23:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 21.74/21.94 GeoParameters:
% 21.74/21.94
% 21.74/21.94 tptp_input = 1
% 21.74/21.94 tptp_output = 0
% 21.74/21.94 nonempty = 1
% 21.74/21.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.74/21.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 21.74/21.94
% 21.74/21.94
% 21.74/21.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.74/21.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.74/21.94
% 21.74/21.94 RuleSystem INPUT:
% 21.74/21.94
% 21.74/21.94 Initial Rules:
% 21.74/21.94 #0: input, references = 11, size of lhs = 7:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1: input, references = 47, size of lhs = 3:
% 21.74/21.94 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2: input, references = 48, size of lhs = 4:
% 21.74/21.94 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3: input, references = 25, size of lhs = 5:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #4: input, references = 8, size of lhs = 8:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #5: input, references = 17, size of lhs = 4:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #6: input, references = 5, size of lhs = 5:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #7: input, references = 16, size of lhs = 6:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #8: input, references = 3, size of lhs = 10:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #9: input, references = 6, size of lhs = 5:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #10: input, references = 3, size of lhs = 2:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #11: input, references = 4, size of lhs = 4:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #12: input, references = 3, size of lhs = 5:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #13: input, references = 4, size of lhs = 2:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #14: input, references = 5, size of lhs = 4:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #15: input, references = 23, size of lhs = 4:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #16: input, references = 16, size of lhs = 4:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #17: input, references = 8, size of lhs = 4:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #18: input, references = 37, size of lhs = 6:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #19: input, references = 3, size of lhs = 5:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #20: input, references = 3, size of lhs = 3:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #21: input, references = 95, size of lhs = 3:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #22: input, references = 95, size of lhs = 4:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #23: input, references = 13, size of lhs = 6:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #24: input, references = 9, size of lhs = 6:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #25: input, references = 39, size of lhs = 4:
% 21.74/21.94 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)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #26: input, references = 9, size of lhs = 3:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #27: input, references = 6, size of lhs = 4:
% 21.74/21.94 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), equalish-{F}(V2,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #28: input, references = 58, size of lhs = 2:
% 21.74/21.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #29: input, references = 4, size of lhs = 0:
% 21.74/21.94 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #30: input, references = 4, size of lhs = 1:
% 21.74/21.94 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #31: input, references = 13, size of lhs = 2:
% 21.74/21.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #32: input, references = 4, size of lhs = 0:
% 21.74/21.94 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #33: input, references = 4, size of lhs = 1:
% 21.74/21.94 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 number of initial rules = 34
% 21.74/21.94
% 21.74/21.94 Simplifiers:
% 21.74/21.94 #34: unsound, references = 3, size of lhs = 3:
% 21.74/21.94 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #35: unsound, references = 3, size of lhs = 3:
% 21.74/21.94 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #36: unsound, references = 3, size of lhs = 3:
% 21.74/21.94 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #37: unsound, references = 3, size of lhs = 3:
% 21.74/21.94 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #38: unsound, references = 3, size of lhs = 3:
% 21.74/21.94 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #39: unsound, references = 3, size of lhs = 3:
% 21.74/21.94 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 number of simplifiers = 6
% 21.74/21.94
% 21.74/21.94 Learnt:
% 21.74/21.94 #79: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #65 ), references = 5, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V5,V1,V4), equalish-{F}(V5,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #96: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #88 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), P_multiplicative_identity-{F}(V3), P_multiply-{F}(V0,V2,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #128: mergings( V0 == V6, V6 == V7, V1 == V8; #123 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V3,V2,V4), P_additive_identity-{F}(V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #132: mergings( V0 == V7, V7 == V9, V1 == V8; #124 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_additive_identity-{F}(V4), P_add-{F}(V3,V2,V5), P_multiplicative_inverse-{F}(V0,V5) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #160: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #151 ), references = 11, size of lhs = 6:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V0,V2), equalish-{F}(V3,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #168: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #152 ), references = 5, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_inverse-{F}(V0,V2), equalish-{F}(V2,V3), P_add-{F}(V4,V0,V3), equalish-{F}(V4,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #184: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V4, V4 == V7, V7 == V9, V9 == V11; #173 ), references = 5, size of lhs = 6:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V2), P_additive_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #201: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V9; #193 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #225: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V9; #217 ), references = 8, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), equalish-{F}(V2,V3), P_add-{F}(V0,V1,V3), less_or_equal-{F}(V2,V4), P_add-{F}(V4,V0,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #249: mergings( V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V9; #242 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_inverse-{F}(V3,V5), equalish-{F}(V5,V6), P_add-{F}(V2,V3,V6) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #255: mergings( V3 == V5, V5 == V7, V7 == V11, V6 == V8, V8 == V12; #243 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V7,V4,V6), equalish-{F}(V7,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #285: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V6 == V8, V8 == V10, V10 == V11; #276 ), references = 4, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_inverse-{F}(V3,V5), equalish-{F}(V5,V6), equalish-{F}(V2,V7), P_add-{F}(V7,V3,V6) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #293: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V6 == V8, V8 == V10, V10 == V15; #277 ), references = 3, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V2,V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_multiply-{F}(V8,V4,V7), equalish-{F}(V8,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #306: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V5 == V7, V7 == V9, V9 == V10; #296 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiplicative_inverse-{F}(V2,V3), equalish-{F}(V3,V4), P_add-{F}(V1,V2,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #314: mergings( V0 == V5; #312 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V5,V3,V4), equalish-{F}(V5,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #349: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #341 ), references = 1, size of lhs = 6:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #355: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V9, V9 == V10; #342 ), references = 3, size of lhs = 9:
% 21.74/21.94 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), P_add-{F}(V5,V4,V2), equalish-{F}(V5,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #361: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V9, V9 == V11; #343 ), references = 2, size of lhs = 12:
% 21.74/21.94 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), less_or_equal-{F}(V3,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V4,V5,V2), less_or_equal-{F}(V3,V6), P_add-{F}(V6,V4,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #369: mergings( V3 == V5, V5 == V6, V6 == V7, V4 == V8, V8 == V1; #362 ), references = 9, size of lhs = 6:
% 21.74/21.94 defined-{F}(V0), equalish-{F}(V0,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #399: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V6 == V8, V8 == V9; #391 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V0), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #406: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V6 == V8, V8 == V9; #392 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #423: mergings( V3 == V1, V0 == V4; #420 ), references = 1, size of lhs = 6:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V1), P_multiply-{F}(V2,V0,V0), equalish-{F}(V2,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #453: mergings( V0 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V7; #445 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V3,V2,V1), equalish-{F}(V3,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #460: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V8; #446 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiplicative_inverse-{F}(V2,V0), P_add-{F}(V3,V2,V1), equalish-{F}(V3,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #466: mergings( V0 == V3, V3 == V5, V5 == V9, V4 == V6, V6 == V8; #447 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), less_or_equal-{F}(V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V2,V3,V1), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V2,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #497: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #489 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #528: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13; #515 ), references = 3, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V2), equalish-{F}(V2,V4), P_add-{F}(V0,V1,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #540: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #516 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_add-{F}(V2,V1,V0), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V0,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #586: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #572 ), references = 2, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #598: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #573 ), references = 2, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0), less_or_equal-{F}(V0,V2), P_add-{F}(V3,V1,V2), less_or_equal-{F}(V3,V0), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V0,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #610: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #574 ), references = 2, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0), less_or_equal-{F}(V0,V2), P_add-{F}(V3,V1,V2), less_or_equal-{F}(V3,V0), P_add-{F}(V4,V0,V0), less_or_equal-{F}(V4,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #632: mergings( V0 == V4, V1 == V5; #627 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V2), P_additive_identity-{F}(V2), P_add-{F}(V1,V2,V2), P_additive_inverse-{F}(V1,V3), defined-{F}(V3), P_multiplicative_identity-{F}(V3) | equalish-{T}(V0,V2)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #665: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #654 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), equalish-{F}(V3,V0), P_add-{F}(V3,V1,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #674: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V12; #655 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V1,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #683: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V12; #656 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V1,V0), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), P_add-{F}(V1,V2,V3), P_add-{F}(V4,V1,V0), less_or_equal-{F}(V4,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #695: mergings( V3 == V1, V1 == V4, V4 == V7, V0 == V5, V5 == V8, V8 == V9; #688 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V0,V2,V1), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #719: mergings( V3 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V1; #713 ), references = 9, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), equalish-{F}(V0,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #848: mergings( V3 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #840 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #854: mergings( V3 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #841 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V2,V5), equalish-{F}(V5,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #860: mergings( V3 == V5, V5 == V7, V7 == V12, V6 == V8, V8 == V13; #842 ), references = 1, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V3,V4,V5), P_additive_identity-{F}(V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), P_add-{F}(V2,V7,V5) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #919: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V6 == V8, V8 == V10, V10 == V13; #909 ), references = 3, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), equalish-{F}(V2,V3), P_additive_identity-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V3), P_multiplicative_identity-{F}(V5) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #927: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V6 == V8, V8 == V10, V10 == V13; #910 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), equalish-{F}(V2,V3), P_additive_identity-{F}(V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V3,V6), equalish-{F}(V6,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #935: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V6 == V8, V8 == V10, V10 == V15; #911 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V3,V4,V5), P_additive_identity-{F}(V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), equalish-{F}(V2,V8), P_add-{F}(V8,V7,V5) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #950: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #939 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #998: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24; #982 ), references = 2, size of lhs = 16:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V3), less_or_equal-{F}(V3,V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V4), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_multiply-{F}(V9,V6,V8), equalish-{F}(V9,V5), less_or_equal-{F}(V10,V0), P_add-{F}(V10,V1,V11), equalish-{F}(V11,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1026: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V28, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V29; #1003 ), references = 4, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V4), P_multiplicative_identity-{F}(V6), P_multiply-{F}(V7,V3,V6), equalish-{F}(V7,V2), less_or_equal-{F}(V8,V0), P_add-{F}(V8,V1,V9), equalish-{F}(V9,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1052: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V30, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V31; #1027 ), references = 1, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V2,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), P_multiply-{F}(V8,V4,V7), equalish-{F}(V8,V3), P_add-{F}(V0,V2,V9), equalish-{F}(V9,V5) | less_or_equal-{T}(V1,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1202: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #1193 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), equalish-{F}(V0,V5), P_add-{F}(V5,V1,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1208: mergings( V3 == V4, V4 == V6, V6 == V13, V5 == V7, V7 == V14; #1194 ), references = 1, size of lhs = 19:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), equalish-{F}(V3,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V6), P_multiplicative_identity-{F}(V8), P_multiply-{F}(V9,V5,V8), equalish-{F}(V9,V4), less_or_equal-{F}(V0,V10), P_add-{F}(V10,V1,V2), P_add-{F}(V7,V3,V11), equalish-{F}(V11,V6) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1215: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #1195 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V2,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), equalish-{F}(V0,V5), P_add-{F}(V5,V1,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1268: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #1257 ), references = 4, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), equalish-{F}(V0,V5), P_add-{F}(V5,V1,V6), equalish-{F}(V6,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1277: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #1258 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V2,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), equalish-{F}(V0,V5), P_add-{F}(V5,V1,V6), equalish-{F}(V6,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1286: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #1259 ), references = 6, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V2,V5), equalish-{F}(V5,V3), equalish-{F}(V0,V6), P_add-{F}(V6,V1,V7), equalish-{F}(V7,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1302: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #1290 ), references = 3, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), equalish-{F}(V0,V1), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V0,V2), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1318: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #1310 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1463: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #1445 ), references = 2, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V1,V3), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V1), P_add-{F}(V5,V0,V4), less_or_equal-{F}(V5,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1479: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #1446 ), references = 4, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1), less_or_equal-{F}(V1,V4), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V1), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1495: 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 == V17; #1447 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V3), P_add-{F}(V0,V1,V3), less_or_equal-{F}(V2,V4), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V2), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1570: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16; #1556 ), references = 2, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V1), defined-{F}(V4), P_additive_inverse-{F}(V4,V0), P_multiplicative_identity-{F}(V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1584: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18; #1557 ), references = 1, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), equalish-{F}(V0,V5), P_add-{F}(V5,V1,V6), less_or_equal-{F}(V2,V6), less_or_equal-{F}(V6,V7), P_add-{F}(V8,V2,V7), less_or_equal-{F}(V8,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1598: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21; #1558 ), references = 2, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), less_or_equal-{F}(V2,V3), defined-{F}(V4), less_or_equal-{F}(V4,V2), P_add-{F}(V5,V4,V3), less_or_equal-{F}(V5,V6), P_additive_identity-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V4), P_multiplicative_identity-{F}(V7) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1631: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1624 ), references = 2, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V4,V0), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1651: mergings( V0 == V4; #1649 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V0,V2), less_or_equal-{F}(V2,V0), P_additive_identity-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1685: mergings( V0 == V5; #1681 ), references = 1, size of lhs = 6:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_multiplicative_inverse-{F}(V4,V2) | equalish-{T}(V0,V3)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1745: mergings( V7 == V9, V8 == V0; #1741 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V6), P_additive_identity-{F}(V6), equalish-{F}(V2,V6) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1748: mergings( V7 == V11, V8 == V0; #1742 ), references = 3, size of lhs = 16:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), P_additive_identity-{F}(V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V6,V1,V7), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V5), equalish-{F}(V3,V9), P_add-{F}(V9,V4,V10), equalish-{F}(V10,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1760: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V7; #1754 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V2,V1,V1), P_additive_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1786: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V12, V4 == V6, V6 == V8, V8 == V13; #1778 ), references = 1, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V1), P_multiplicative_identity-{F}(V5), P_multiply-{F}(V6,V3,V5), equalish-{F}(V6,V2), less_or_equal-{F}(V4,V7), P_add-{F}(V7,V1,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1837: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #1824 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), P_add-{F}(V2,V1,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1848: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #1825 ), references = 1, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), P_add-{F}(V2,V1,V3), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V0), P_add-{F}(V6,V1,V5), less_or_equal-{F}(V6,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1898: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V4 == V6, V6 == V8, V8 == V10; #1888 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), equalish-{F}(V2,V0), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V3,V2,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1906: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #1889 ), references = 1, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_additive_inverse-{F}(V2,V0), defined-{F}(V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V3,V2,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1914: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #1890 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V3,V2,V1), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V2,V5), equalish-{F}(V5,V0), P_add-{F}(V6,V2,V5), less_or_equal-{F}(V6,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1965: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #1952 ), references = 1, size of lhs = 6:
% 21.74/21.94 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
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1976: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #1953 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), equalish-{F}(V3,V0), P_add-{F}(V3,V1,V4), equalish-{F}(V2,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #1987: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #1954 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), P_add-{F}(V1,V2,V4), equalish-{F}(V3,V4), less_or_equal-{F}(V0,V5), P_add-{F}(V5,V1,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2064: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V15, V4 == V7, V7 == V9, V9 == V11, V11 == V14; #2054 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), less_or_equal-{F}(V2,V0), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V3), P_multiplicative_inverse-{F}(V4,V6), equalish-{F}(V6,V7), P_add-{F}(V3,V4,V7) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2110: exists( #28, #361 ), references = 1, size of lhs = 8:
% 21.74/21.94 P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V0,V3), P_add-{F}(V3,V1,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2153: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V19, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18; #2141 ), references = 1, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V3), less_or_equal-{F}(V3,V4), P_add-{F}(V5,V1,V4), less_or_equal-{F}(V5,V0), defined-{F}(V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_inverse-{F}(V6,V8), equalish-{F}(V8,V9), P_add-{F}(V4,V6,V9) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2177: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23; #2158 ), references = 2, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V1), less_or_equal-{F}(V2,V0), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V3), P_multiplicative_inverse-{F}(V4,V6), equalish-{F}(V6,V7), P_add-{F}(V3,V4,V7) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2227: mergings( V3 == V5, V5 == V12, V12 == V14, V14 == V18, V4 == V13, V13 == V15, V15 == V17; #2217 ), references = 1, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), defined-{F}(V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V9,V8,V4), equalish-{F}(V7,V10), P_additive_identity-{F}(V10), equalish-{F}(V8,V10) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2235: mergings( V3 == V5, V5 == V12, V12 == V14, V14 == V19, V4 == V13, V13 == V15, V15 == V20; #2218 ), references = 2, size of lhs = 20:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), defined-{F}(V10), P_additive_identity-{F}(V11), equalish-{F}(V7,V11), defined-{F}(V12), P_multiplicative_identity-{F}(V12), P_add-{F}(V12,V10,V4), equalish-{F}(V8,V13), P_add-{F}(V13,V9,V14), equalish-{F}(V14,V10) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2243: mergings( V3 == V5, V5 == V12, V12 == V14, V14 == V17, V4 == V13, V13 == V15, V15 == V18; #2219 ), references = 1, size of lhs = 19:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), defined-{F}(V8), P_additive_identity-{F}(V9), equalish-{F}(V7,V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), P_add-{F}(V10,V8,V4), less_or_equal-{F}(V9,V11), P_add-{F}(V11,V8,V12), equalish-{F}(V12,V9), P_add-{F}(V13,V8,V12), less_or_equal-{F}(V13,V9) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2275: mergings( V3 == V5, V5 == V12, V12 == V14, V14 == V18, V4 == V13, V13 == V15, V15 == V19; #2266 ), references = 1, size of lhs = 18:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), P_multiply-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), P_additive_identity-{F}(V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V4), P_multiplicative_identity-{F}(V11), equalish-{F}(V8,V12), P_add-{F}(V12,V9,V7) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2283: mergings( V3 == V5, V5 == V12, V12 == V14, V14 == V18, V4 == V13, V13 == V15, V15 == V19; #2267 ), references = 1, size of lhs = 17:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), P_multiply-{F}(V3,V1,V5), equalish-{F}(V5,V6), P_multiply-{F}(V6,V0,V7), defined-{F}(V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), P_add-{F}(V8,V9,V7), P_additive_identity-{F}(V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V4), P_multiplicative_identity-{F}(V11) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2339: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19; #2325 ), references = 1, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V3), less_or_equal-{F}(V3,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_inverse-{F}(V5,V7), equalish-{F}(V7,V8), P_add-{F}(V4,V5,V8), less_or_equal-{F}(V9,V0), P_add-{F}(V9,V1,V10), equalish-{F}(V10,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2365: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #2344 ), references = 2, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V4), P_multiplicative_inverse-{F}(V2,V5), equalish-{F}(V5,V6), P_add-{F}(V4,V2,V6), less_or_equal-{F}(V7,V0), P_add-{F}(V7,V1,V8), equalish-{F}(V8,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2380: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V4 == V6, V6 == V8, V8 == V10; #2372 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V1), P_multiplicative_inverse-{F}(V2,V4), equalish-{F}(V4,V5), P_add-{F}(V1,V2,V5), less_or_equal-{F}(V3,V6), P_add-{F}(V6,V1,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2422: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V12, V4 == V6, V6 == V8, V8 == V13; #2412 ), references = 2, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V4,V1), equalish-{F}(V2,V6), P_add-{F}(V6,V3,V7), equalish-{F}(V7,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2430: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V14, V4 == V6, V6 == V8, V8 == V15; #2413 ), references = 2, size of lhs = 18:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V6), defined-{F}(V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), P_add-{F}(V7,V3,V8), P_add-{F}(V8,V2,V1), equalish-{F}(V5,V9), P_add-{F}(V9,V6,V10), equalish-{F}(V10,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2439: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V18, V5 == V7, V7 == V9, V9 == V19; #2414 ), references = 1, size of lhs = 22:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V3,V1), P_multiply-{F}(V5,V4,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), defined-{F}(V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), P_add-{F}(V10,V9,V6), equalish-{F}(V7,V11), P_add-{F}(V11,V8,V12), equalish-{F}(V12,V9), P_multiply-{F}(V0,V2,V13), equalish-{F}(V13,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2452: mergings( V0 == V3, V3 == V5, V4 == V9; #2448 ), references = 3, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), equalish-{F}(V2,V0), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), defined-{F}(V4), equalish-{F}(V3,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V4,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2463: mergings( V3 == V5, V5 == V11, V6 == V12; #2459 ), references = 1, size of lhs = 16:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V2,V2), P_add-{F}(V2,V0,V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), equalish-{F}(V3,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V6), P_multiplicative_identity-{F}(V8), P_multiply-{F}(V9,V5,V8), equalish-{F}(V9,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2476: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V10, V10 == V14; #2467 ), references = 1, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V1), P_multiplicative_identity-{F}(V5), P_multiply-{F}(V6,V4,V5), equalish-{F}(V6,V3), less_or_equal-{F}(V0,V7), P_add-{F}(V7,V1,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2514: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V10, V4 == V6, V6 == V8, V8 == V13; #2504 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V2,V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V3,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2566: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V15, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18; #2551 ), references = 2, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), equalish-{F}(V2,V0), P_additive_inverse-{F}(V2,V1), defined-{F}(V3), less_or_equal-{F}(V3,V1), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V3,V1), less_or_equal-{F}(V0,V5), less_or_equal-{F}(V5,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2578: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V10; #2572 ), references = 1, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V3,V0), P_additive_inverse-{F}(V3,V1), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V2,V1), less_or_equal-{F}(V0,V5), less_or_equal-{F}(V5,V2), less_or_equal-{F}(V0,V6), P_add-{F}(V6,V2,V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2599: mergings( V3 == V5, V5 == V7, V6 == V1; #2594 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_inverse-{F}(V1,V2), P_additive_identity-{F}(V3), equalish-{F}(V0,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2603: mergings( V3 == V5, V5 == V10, V6 == V1; #2595 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V2,V2), less_or_equal-{F}(V3,V1), P_add-{F}(V3,V2,V0), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V0,V5), P_multiplicative_inverse-{F}(V4,V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2657: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #2644 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V4,V1,V3), less_or_equal-{F}(V4,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2668: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13; #2645 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V4), P_add-{F}(V5,V1,V4), less_or_equal-{F}(V5,V0), P_add-{F}(V6,V2,V4), equalish-{F}(V6,V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2679: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #2646 ), references = 1, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V4,V5), P_add-{F}(V2,V3,V5), P_add-{F}(V6,V1,V5), less_or_equal-{F}(V6,V0), less_or_equal-{F}(V4,V7), P_add-{F}(V7,V2,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2695: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #2680 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V0,V2,V4) | less_or_equal-{T}(V1,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2708: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15; #2681 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V0,V2,V5), P_add-{F}(V6,V3,V5), equalish-{F}(V6,V4) | less_or_equal-{T}(V1,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2721: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #2682 ), references = 1, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V3), less_or_equal-{F}(V5,V6), P_add-{F}(V3,V4,V6), P_add-{F}(V0,V2,V6), less_or_equal-{F}(V5,V7), P_add-{F}(V7,V3,V5) | less_or_equal-{T}(V1,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2780: mergings( V3 == V9, V4 == V13; #2776 ), references = 1, size of lhs = 20:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V3,V4), defined-{F}(V5), P_add-{F}(V0,V5,V6), P_add-{F}(V1,V6,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), P_add-{F}(V10,V2,V11), P_add-{F}(V11,V5,V4), equalish-{F}(V8,V12), P_add-{F}(V12,V9,V7) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2783: mergings( V3 == V11, V4 == V12; #2777 ), references = 1, size of lhs = 18:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V7), defined-{F}(V7), P_additive_identity-{F}(V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V9,V2,V10), P_add-{F}(V10,V3,V11), equalish-{F}(V11,V8), equalish-{F}(V6,V12), P_add-{F}(V12,V7,V5) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2886: mergings( V1 == V6; #2882 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V0,V4), defined-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_multiplicative_identity-{F}(V5) | equalish-{T}(V2,V5)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2888: mergings( V1 == V6; #2883 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V3,V0), P_additive_identity-{F}(V5), equalish-{F}(V3,V5) | equalish-{T}(V2,V4)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2890: mergings( V1 == V8; #2884 ), references = 1, size of lhs = 14:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), P_add-{F}(V7,V5,V0), equalish-{F}(V3,V8), P_add-{F}(V8,V4,V9), equalish-{F}(V9,V5) | equalish-{T}(V2,V7)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2914: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V8, V8 == V10, V10 == V12; #2903 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2), P_multiplicative_inverse-{F}(V2,V0), P_additive_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2965: exists( #28, #2961 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_additive_identity-{F}(V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V2), P_multiplicative_identity-{F}(V5), equalish-{F}(V3,V5), P_add-{F}(V5,V1,V6), P_add-{F}(V6,V0,V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #2966: exists( #28, #2958 ), references = 1, size of lhs = 15:
% 21.74/21.94 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}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), equalish-{F}(V6,V3), P_additive_identity-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V5), P_multiplicative_identity-{F}(V8) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3004: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #2998 ), references = 2, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3012: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #3005 ), references = 2, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3049: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V16; #3038 ), references = 1, size of lhs = 13:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V0,V3), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V1), less_or_equal-{F}(V4,V3), defined-{F}(V5), P_additive_inverse-{F}(V5,V1), P_multiplicative_identity-{F}(V5) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3093: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #3082 ), references = 2, size of lhs = 10:
% 21.74/21.94 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_multiply-{F}(V0,V1,V2), less_or_equal-{F}(V3,V0), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V2,V4) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3102: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V1, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #3083 ), references = 2, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_multiply-{F}(V0,V1,V2), less_or_equal-{F}(V3,V0), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V0,V5), P_add-{F}(V5,V0,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3111: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V1, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #3084 ), references = 1, size of lhs = 12:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V1,V0), P_multiply-{F}(V0,V1,V2), less_or_equal-{F}(V3,V0), P_add-{F}(V3,V1,V4), less_or_equal-{F}(V2,V4), P_add-{F}(V5,V0,V0), less_or_equal-{F}(V5,V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3166: mergings( V0 == V2, V1 == V4; #3161 ), references = 1, size of lhs = 7:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V1,V0), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | less_or_equal-{T}(V1,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3169: mergings( V0 == V2, V1 == V7; #3162 ), references = 1, size of lhs = 11:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V1,V2,V3), defined-{F}(V4), P_add-{F}(V4,V4,V0), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V4,V5,V3) | less_or_equal-{T}(V4,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3172: mergings( V0 == V2, V1 == V5; #3163 ), references = 1, size of lhs = 9:
% 21.74/21.94 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), P_add-{F}(V2,V2,V0), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V2,V3,V1) | less_or_equal-{T}(V2,V0)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3192: mergings( V0 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10; #3183 ), references = 1, size of lhs = 15:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V3,V3), P_additive_identity-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V3), P_multiply-{F}(V3,V4,V5), P_add-{F}(V1,V2,V5), less_or_equal-{F}(V0,V6), P_add-{F}(V6,V2,V7), less_or_equal-{F}(V8,V3), P_add-{F}(V8,V4,V7) | less_or_equal-{T}(V0,V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3199: mergings( V0 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10; #3184 ), references = 1, size of lhs = 17:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V4,V3), P_multiply-{F}(V3,V4,V5), P_add-{F}(V1,V2,V5), less_or_equal-{F}(V0,V6), P_add-{F}(V6,V2,V7), less_or_equal-{F}(V8,V3), P_add-{F}(V8,V4,V7), less_or_equal-{F}(V3,V9), P_add-{F}(V9,V3,V3) | less_or_equal-{T}(V0,V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3206: mergings( V0 == V4, V4 == V6, V6 == V17, V1 == V5, V5 == V7, V7 == V18; #3185 ), references = 1, size of lhs = 21:
% 21.74/21.94 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V3,V5), equalish-{F}(V5,V6), P_add-{F}(V1,V2,V6), less_or_equal-{F}(V0,V7), P_add-{F}(V7,V2,V8), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V9,V8), P_additive_identity-{F}(V11), P_multiplicative_identity-{F}(V12), P_multiply-{F}(V13,V10,V12), equalish-{F}(V13,V9), less_or_equal-{F}(V14,V3), P_add-{F}(V14,V4,V15), equalish-{F}(V15,V8) | less_or_equal-{T}(V0,V1)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3254: mergings( V0 == V6, V1 == V5; #3251 ), references = 1, size of lhs = 8:
% 21.74/21.94 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3), P_multiplicative_inverse-{F}(V3,V1), P_additive_identity-{F}(V4) | equalish-{T}(V0,V4)
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3261: mergings( V4 == V5, V3 == V6, V2 == V0, V0 == V7; #3256 ), references = 1, size of lhs = 5:
% 21.74/21.94 P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3268: mergings( V2 == V5, V5 == V6, V3 == V4, V4 == V0; #3263 ), references = 1, size of lhs = 3:
% 21.74/21.94 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3274: mergings( V1 == V2, V2 == V3, V3 == V4; #3270 ), references = 1, size of lhs = 1:
% 21.74/21.94 P_additive_identity-{F}(V0) | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 #3276: exists( #29, #3270 ), references = 1, size of lhs = 0:
% 21.74/21.94 FALSE | FALSE
% 21.74/21.94 (used 0 times, uses = {})
% 21.74/21.94
% 21.74/21.94 number of learnt formulas = 130
% 21.74/21.94
% 21.74/21.94
% 21.74/21.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.74/21.94
% 21.74/21.94 randbase = 1
%------------------------------------------------------------------------------