TSTP Solution File: GRP068-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP068-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:03:05 EDT 2022
% Result : Unsatisfiable 8.46s 8.66s
% Output : Refutation 8.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP068-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 14:47:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.46/8.66 GeoParameters:
% 8.46/8.66
% 8.46/8.66 tptp_input = 1
% 8.46/8.66 tptp_output = 0
% 8.46/8.66 nonempty = 1
% 8.46/8.66 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/8.66 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 8.46/8.66
% 8.46/8.66
% 8.46/8.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/8.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/8.66
% 8.46/8.66 RuleSystem INPUT:
% 8.46/8.66
% 8.46/8.66 Initial Rules:
% 8.46/8.66 #0: input, references = 6, size of lhs = 9:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V2,V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V1,V1,V6), P_divide-{F}(V6,V1,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V5,V8,V9), P_divide-{F}(V1,V9,V10), V10 == V2 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1: input, references = 6, size of lhs = 5:
% 8.46/8.66 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V1,V4,V5), V3 == V5 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #2: input, references = 5, size of lhs = 4:
% 8.46/8.66 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #3: input, references = 4, size of lhs = 3:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #4: input, references = 10, size of lhs = 13:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V4), P_multiply-{F}(V0,V4,V4), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_c3-{F}(V9), P_multiply-{F}(V8,V9,V12), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V6,V11,V12) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #5: input, references = 17, size of lhs = 2:
% 8.46/8.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #6: input, references = 4, size of lhs = 0:
% 8.46/8.66 FALSE | EXISTS V0: P_identity-{T}(V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #7: input, references = 10, size of lhs = 2:
% 8.46/8.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #8: input, references = 28, size of lhs = 1:
% 8.46/8.66 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #9: input, references = 4, size of lhs = 0:
% 8.46/8.66 FALSE | EXISTS V0: P_a1-{T}(V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #10: input, references = 4, size of lhs = 0:
% 8.46/8.66 FALSE | EXISTS V0: P_a2-{T}(V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #11: input, references = 5, size of lhs = 0:
% 8.46/8.66 FALSE | EXISTS V0: P_a3-{T}(V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #12: input, references = 7, size of lhs = 0:
% 8.46/8.66 FALSE | EXISTS V0: P_b3-{T}(V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #13: input, references = 10, size of lhs = 0:
% 8.46/8.66 FALSE | EXISTS V0: P_c3-{T}(V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 number of initial rules = 14
% 8.46/8.66
% 8.46/8.66 Simplifiers:
% 8.46/8.66 #14: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #15: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #16: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #17: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #18: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #19: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #20: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #21: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #22: unsound, references = 3, size of lhs = 3:
% 8.46/8.66 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 number of simplifiers = 9
% 8.46/8.66
% 8.46/8.66 Learnt:
% 8.46/8.66 #24: exists( #5, #3 ), references = 59, size of lhs = 2:
% 8.46/8.66 P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #26: exists( #5, #2 ), references = 56, size of lhs = 2:
% 8.46/8.66 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #28: exists( #7, #1 ), references = 28, size of lhs = 3:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #30: exists( #8, #2 ), references = 1, size of lhs = 2:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #36: mergings( V2 == V3; #34 ), references = 1, size of lhs = 3:
% 8.46/8.66 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V3) | P_inverse-{T}(V3,V2)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #40: exists( #5, #1 ), references = 17, size of lhs = 3:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #42: exists( #5, #0 ), references = 54, size of lhs = 7:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V5,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V4,V8,V9) | P_divide-{T}(V5,V9,V1)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #53: mergings( V3 == V4, V4 == V0, V6 == V8, V0 == V5; #48 ), references = 30, size of lhs = 7:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V3), P_divide-{F}(V0,V5,V3) | P_multiply-{T}(V0,V4,V5)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #66: mergings( V7 == V10, V2 == V3, V3 == V4, V4 == V6, V5 == V10; #60 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_a3-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_c3-{F}(V2), P_divide-{F}(V0,V2,V3), P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V4,V3,V3) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #85: mergings( V2 == V5; #83 ), references = 1, size of lhs = 15:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_b3-{F}(V6), P_multiply-{F}(V0,V6,V7), P_c3-{F}(V8), P_multiply-{F}(V7,V8,V9), P_multiply-{F}(V6,V8,V9) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #88: mergings( V3 == V6; #86 ), references = 3, size of lhs = 13:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_b3-{F}(V6), P_multiply-{F}(V0,V6,V6), P_c3-{F}(V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #96: mergings( V3 == V5, V4 == V6; #93 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V3), P_b3-{F}(V3), P_c3-{F}(V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #100: mergings( V2 == V4, V3 == V5; #97 ), references = 1, size of lhs = 8:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V3), P_b3-{F}(V3) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #117: mergings( V3 == V5, V4 == V6; #114 ), references = 2, size of lhs = 12:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_b3-{F}(V6), P_c3-{F}(V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #127: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #122 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #133: mergings( V2 == V4, V3 == V5, V4 == V6, V5 == V7; #128 ), references = 1, size of lhs = 8:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V3), P_b3-{F}(V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #139: mergings( V2 == V4, V3 == V5, V4 == V6, V5 == V7; #134 ), references = 1, size of lhs = 7:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V3) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #150: exists( #7, #4 ), references = 2, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_multiply-{F}(V4,V5,V4), P_c3-{F}(V6), P_multiply-{F}(V5,V6,V6) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #162: mergings( V2 == V3, V3 == V4, V4 == V5; #158 ), references = 2, size of lhs = 13:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V0,V0,V6), P_c3-{F}(V7), P_multiply-{F}(V5,V7,V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #172: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V9; #167 ), references = 1, size of lhs = 10:
% 8.46/8.66 P_identity-{F}(V0), P_b3-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V1), P_c3-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V4,V3,V3) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #189: mergings( V2 == V5, V3 == V10; #186 ), references = 1, size of lhs = 13:
% 8.46/8.66 P_b3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_divide-{F}(V0,V0,V5), P_divide-{F}(V5,V0,V6), P_divide-{F}(V6,V5,V5), P_c3-{F}(V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #199: mergings( V6 == V9, V2 == V5, V3 == V9, V4 == V7; #194 ), references = 1, size of lhs = 10:
% 8.46/8.66 P_b3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V4,V3,V3), P_c3-{F}(V5) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #205: mergings( V5 == V9, V1 == V4, V2 == V9, V3 == V6; #200 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_b3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V4,V3,V3) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #217: exists( #8, #215 ), references = 21, size of lhs = 10:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V8,V6,V9), P_divide-{F}(V9,V7,V10), P_divide-{F}(V3,V10,V11) | P_inverse-{T}(V8,V11)
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #243: mergings( V3 == V4, V4 == V5, V23 == V25, V5 == V6, V26 == V34, V6 == V7, V7 == V10, V10 == V11, V11 == V12; #233 ), references = 3, size of lhs = 30:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_c3-{F}(V13), P_divide-{F}(V0,V13,V14), P_multiply-{F}(V7,V13,V15), P_divide-{F}(V0,V16,V14), P_divide-{F}(V0,V15,V17), P_divide-{F}(V12,V18,V17), P_divide-{F}(V14,V18,V6), P_divide-{F}(V6,V6,V19), P_divide-{F}(V19,V6,V20), P_divide-{F}(V20,V20,V21), P_divide-{F}(V21,V20,V22), P_divide-{F}(V22,V23,V17), P_divide-{F}(V17,V23,V6), P_divide-{F}(V0,V24,V17) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #276: mergings( V25 == V39, V26 == V40, V45 == V46, V3 == V4, V4 == V5, V5 == V8, V6 == V9, V7 == V10, V8 == V11, V31 == V32, V11 == V12, V12 == V13, V9 == V14, V10 == V15; #261 ), references = 1, size of lhs = 38:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_divide-{F}(V0,V6,V7), P_b3-{F}(V8), P_divide-{F}(V0,V8,V9), P_c3-{F}(V10), P_multiply-{F}(V8,V10,V11), P_divide-{F}(V11,V11,V0), P_divide-{F}(V0,V10,V12), P_divide-{F}(V0,V13,V12), P_divide-{F}(V7,V0,V14), P_divide-{F}(V14,V11,V9), P_divide-{F}(V6,V6,V15), P_divide-{F}(V15,V6,V16), P_divide-{F}(V16,V16,V17), P_divide-{F}(V17,V16,V6), P_divide-{F}(V12,V18,V6), P_divide-{F}(V19,V19,V18), P_divide-{F}(V11,V20,V19), P_divide-{F}(V0,V21,V22), P_divide-{F}(V23,V22,V11), P_divide-{F}(V23,V23,V24), P_divide-{F}(V24,V23,V25), P_divide-{F}(V25,V25,V26), P_divide-{F}(V26,V25,V27), P_divide-{F}(V22,V28,V6), P_divide-{F}(V27,V28,V9), P_divide-{F}(V16,V29,V30), P_divide-{F}(V11,V29,V31), P_divide-{F}(V31,V30,V9) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #301: mergings( V16 == V35, V28 == V34, V29 == V31, V30 == V32, V21 == V33, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V8 == V11, V9 == V12, V10 == V13, V1 == V38, V13 == V14, V14 == V15, V11 == V35, V12 == V17, V23 == V24, V38 == V26; #280 ), references = 1, size of lhs = 32:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V0,V4,V5), P_b3-{F}(V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V0,V7,V7), P_c3-{F}(V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V5,V0,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V4), P_divide-{F}(V4,V4,V13), P_divide-{F}(V13,V4,V11), P_divide-{F}(V0,V0,V14), P_divide-{F}(V9,V14,V4), P_divide-{F}(V14,V0,V15), P_divide-{F}(V15,V14,V14), P_divide-{F}(V7,V16,V6), P_divide-{F}(V4,V16,V9), P_divide-{F}(V0,V17,V9), P_divide-{F}(V6,V6,V18), P_divide-{F}(V18,V6,V19), P_divide-{F}(V19,V19,V20), P_divide-{F}(V20,V19,V21), P_divide-{F}(V9,V22,V4), P_divide-{F}(V21,V22,V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #334: mergings( V3 == V4, V4 == V5, V5 == V6, V21 == V29, V6 == V7, V7 == V10, V10 == V11; #326 ), references = 1, size of lhs = 27:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_divide-{F}(V6,V6,V7), P_divide-{F}(V7,V6,V8), P_b3-{F}(V9), P_multiply-{F}(V6,V9,V10), P_c3-{F}(V11), P_multiply-{F}(V10,V11,V12), P_divide-{F}(V0,V12,V13), P_divide-{F}(V0,V11,V14), P_divide-{F}(V8,V15,V14), P_divide-{F}(V13,V15,V9), P_divide-{F}(V9,V9,V16), P_divide-{F}(V16,V9,V17), P_divide-{F}(V17,V17,V18), P_divide-{F}(V18,V17,V19), P_divide-{F}(V19,V20,V14), P_divide-{F}(V14,V20,V9), P_divide-{F}(V0,V21,V14) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #363: mergings( V3 == V4, V4 == V5; #360 ), references = 1, size of lhs = 38:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_divide-{F}(V0,V6,V7), P_b3-{F}(V8), P_multiply-{F}(V6,V8,V9), P_divide-{F}(V9,V9,V10), P_divide-{F}(V10,V9,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_c3-{F}(V14), P_divide-{F}(V0,V14,V15), P_multiply-{F}(V8,V14,V16), P_divide-{F}(V0,V17,V15), P_divide-{F}(V0,V16,V18), P_divide-{F}(V0,V18,V19), P_divide-{F}(V18,V18,V20), P_divide-{F}(V20,V18,V21), P_divide-{F}(V13,V22,V18), P_divide-{F}(V15,V22,V6), P_divide-{F}(V6,V6,V23), P_divide-{F}(V23,V6,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V26,V26,V27), P_divide-{F}(V27,V26,V28), P_divide-{F}(V0,V29,V18), P_divide-{F}(V19,V30,V31), P_divide-{F}(V28,V30,V32), P_divide-{F}(V7,V33,V31), P_divide-{F}(V21,V33,V32) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #379: mergings( V3 == V4, V22 == V26, V4 == V5, V5 == V8, V8 == V9, V9 == V10; #372 ), references = 1, size of lhs = 28:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_c3-{F}(V13), P_divide-{F}(V0,V13,V14), P_multiply-{F}(V7,V13,V15), P_multiply-{F}(V6,V15,V16), P_divide-{F}(V0,V17,V14), P_divide-{F}(V14,V18,V19), P_divide-{F}(V12,V18,V20), P_divide-{F}(V19,V19,V21), P_divide-{F}(V21,V19,V22), P_divide-{F}(V22,V23,V24), P_divide-{F}(V16,V23,V25), P_divide-{F}(V25,V24,V20) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #394: mergings( V3 == V4, V4 == V5, V29 == V30, V5 == V6, V6 == V7, V24 == V27, V7 == V8, V8 == V11, V11 == V12, V12 == V13; #383 ), references = 2, size of lhs = 30:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_c3-{F}(V13), P_divide-{F}(V0,V13,V14), P_multiply-{F}(V7,V13,V15), P_divide-{F}(V0,V15,V16), P_divide-{F}(V0,V17,V14), P_divide-{F}(V0,V18,V19), P_divide-{F}(V12,V20,V19), P_divide-{F}(V14,V20,V21), P_divide-{F}(V21,V21,V22), P_divide-{F}(V22,V21,V23), P_divide-{F}(V23,V23,V24), P_divide-{F}(V24,V23,V25), P_divide-{F}(V19,V26,V6), P_divide-{F}(V25,V26,V16) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #407: mergings( V3 == V6, V4 == V7, V5 == V8; #403 ), references = 1, size of lhs = 33:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_c3-{F}(V13), P_divide-{F}(V0,V13,V14), P_multiply-{F}(V7,V13,V15), P_divide-{F}(V0,V16,V14), P_divide-{F}(V15,V17,V18), P_divide-{F}(V0,V19,V20), P_divide-{F}(V12,V21,V20), P_divide-{F}(V14,V21,V22), P_divide-{F}(V22,V22,V23), P_divide-{F}(V23,V22,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V26,V26,V27), P_divide-{F}(V27,V26,V28), P_divide-{F}(V28,V17,V29), P_divide-{F}(V18,V29,V30), P_divide-{F}(V20,V30,V6) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #420: mergings( V3 == V4, V4 == V5, V25 == V27, V5 == V6, V6 == V9, V7 == V10, V8 == V11, V21 == V23; #411 ), references = 2, size of lhs = 34:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_c3-{F}(V13), P_divide-{F}(V0,V13,V14), P_divide-{F}(V0,V15,V14), P_divide-{F}(V0,V16,V17), P_divide-{F}(V17,V18,V7), P_divide-{F}(V19,V18,V14), P_divide-{F}(V20,V17,V6), P_divide-{F}(V0,V21,V20), P_divide-{F}(V12,V22,V20), P_divide-{F}(V14,V22,V23), P_divide-{F}(V23,V23,V24), P_divide-{F}(V24,V23,V25), P_divide-{F}(V25,V25,V26), P_divide-{F}(V26,V25,V27), P_divide-{F}(V27,V27,V28), P_divide-{F}(V28,V27,V29), P_divide-{F}(V29,V29,V30), P_divide-{F}(V30,V29,V19) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #453: mergings( V49 == V50, V3 == V4, V4 == V5, V5 == V8, V6 == V9, V7 == V10, V8 == V11, V34 == V35, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V62 == V64, V16 == V17, V9 == V18, V10 == V19, V17 == V20, V18 == V21, V19 == V22, V29 == V31; #431 ), references = 1, size of lhs = 48:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_multiply-{F}(V0,V5,V5), P_a3-{F}(V6), P_divide-{F}(V0,V6,V7), P_b3-{F}(V8), P_divide-{F}(V0,V8,V9), P_c3-{F}(V10), P_divide-{F}(V0,V10,V11), P_divide-{F}(V0,V12,V11), P_divide-{F}(V6,V6,V13), P_divide-{F}(V13,V6,V14), P_divide-{F}(V15,V15,V0), P_divide-{F}(V0,V16,V17), P_divide-{F}(V18,V17,V15), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V18,V20), P_divide-{F}(V20,V20,V21), P_divide-{F}(V21,V20,V22), P_divide-{F}(V7,V16,V23), P_divide-{F}(V17,V24,V6), P_divide-{F}(V22,V24,V9), P_divide-{F}(V14,V25,V26), P_divide-{F}(V15,V25,V27), P_divide-{F}(V27,V26,V9), P_divide-{F}(V15,V28,V29), P_divide-{F}(V29,V29,V30), P_divide-{F}(V11,V30,V31), P_divide-{F}(V31,V31,V32), P_divide-{F}(V32,V31,V33), P_divide-{F}(V33,V33,V34), P_divide-{F}(V34,V33,V35), P_divide-{F}(V35,V35,V36), P_divide-{F}(V36,V35,V37), P_divide-{F}(V37,V37,V38), P_divide-{F}(V38,V37,V39), P_divide-{F}(V39,V40,V11), P_divide-{F}(V41,V30,V20), P_divide-{F}(V0,V42,V41), P_divide-{F}(V23,V42,V43), P_divide-{F}(V43,V40,V8), P_divide-{F}(V0,V44,V43) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #480: mergings( V22 == V41, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V10, V8 == V11, V9 == V12, V1 == V57, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V52 == V54, V17 == V18, V10 == V19, V11 == V20, V18 == V21, V19 == V41, V20 == V23, V32 == V34, V30 == V40; #456 ), references = 3, size of lhs = 46:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V0,V4,V5), P_b3-{F}(V6), P_divide-{F}(V0,V6,V7), P_c3-{F}(V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V4,V4,V11), P_divide-{F}(V11,V4,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V0,V15,V7), P_divide-{F}(V0,V0,V16), P_divide-{F}(V16,V0,V17), P_divide-{F}(V17,V16,V16), P_divide-{F}(V9,V16,V18), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V18,V20), P_divide-{F}(V20,V20,V21), P_divide-{F}(V21,V20,V22), P_divide-{F}(V22,V22,V23), P_divide-{F}(V23,V22,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V26,V27,V9), P_divide-{F}(V28,V27,V6), P_divide-{F}(V0,V29,V28), P_divide-{F}(V7,V30,V31), P_divide-{F}(V14,V30,V32), P_divide-{F}(V0,V33,V32), P_divide-{F}(V31,V31,V34), P_divide-{F}(V34,V31,V35), P_divide-{F}(V35,V35,V36), P_divide-{F}(V36,V35,V37), P_divide-{F}(V5,V33,V38), P_divide-{F}(V32,V39,V4), P_divide-{F}(V37,V39,V7), P_divide-{F}(V38,V40,V28), P_divide-{F}(V0,V40,V41), P_divide-{F}(V41,V16,V35) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #512: mergings( V17 == V19, V18 == V20, V19 == V28, V16 == V28, V20 == V28, V28 == V29, V2 == V3, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V10, V10 == V11, V11 == V12, V35 == V37, V12 == V13, V8 == V14, V9 == V15, V13 == V29, V14 == V29, V15 == V29, V25 == V27, V37 == V39, V24 == V32; #487 ), references = 3, size of lhs = 22:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_c3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V0,V7,V6), P_divide-{F}(V6,V0,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V5), P_divide-{F}(V5,V5,V10), P_divide-{F}(V10,V5,V11), P_divide-{F}(V11,V0,V6), P_divide-{F}(V12,V0,V5), P_divide-{F}(V0,V13,V12), P_divide-{F}(V0,V14,V12) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #543: mergings( V2 == V3, V3 == V4, V7 == V8; #539 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a3-{F}(V2), P_c3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V3,V0), P_divide-{F}(V1,V4,V3) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #574: mergings( V3 == V14, V4 == V15, V14 == V26, V32 == V34; #569 ), references = 3, size of lhs = 37:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V9,V8), P_divide-{F}(V0,V10,V6), P_divide-{F}(V0,V0,V11), P_divide-{F}(V11,V0,V12), P_divide-{F}(V12,V11,V11), P_divide-{F}(V8,V11,V13), P_divide-{F}(V13,V13,V14), P_divide-{F}(V14,V13,V15), P_divide-{F}(V15,V15,V16), P_divide-{F}(V16,V15,V17), P_divide-{F}(V17,V17,V18), P_divide-{F}(V18,V17,V19), P_divide-{F}(V19,V19,V20), P_divide-{F}(V20,V19,V21), P_divide-{F}(V21,V22,V8), P_divide-{F}(V6,V11,V23), P_divide-{F}(V23,V23,V24), P_divide-{F}(V24,V23,V25), P_divide-{F}(V25,V25,V26), P_divide-{F}(V26,V25,V27), P_divide-{F}(V27,V11,V6), P_divide-{F}(V28,V11,V25), P_divide-{F}(V28,V22,V5), P_divide-{F}(V0,V29,V28), P_divide-{F}(V0,V30,V28) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #589: mergings( V3 == V5, V4 == V6, V5 == V11, V11 == V12, V6 == V13, V24 == V25; #582 ), references = 2, size of lhs = 25:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_c3-{F}(V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V0,V5,V4), P_divide-{F}(V0,V0,V6), P_divide-{F}(V6,V0,V7), P_divide-{F}(V7,V6,V6), P_divide-{F}(V4,V6,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V16), P_divide-{F}(V16,V6,V4), P_divide-{F}(V17,V17,V6), P_divide-{F}(V1,V18,V17) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #640: mergings( V34 == V35, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V10, V20 == V21, V10 == V11, V8 == V15, V9 == V16; #627 ), references = 2, size of lhs = 29:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_c3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V0,V4), P_divide-{F}(V4,V0,V5), P_divide-{F}(V5,V4,V4), P_divide-{F}(V6,V6,V4), P_divide-{F}(V1,V7,V6), P_divide-{F}(V8,V8,V4), P_divide-{F}(V3,V9,V8), P_divide-{F}(V0,V10,V11), P_divide-{F}(V12,V11,V3), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V16), P_divide-{F}(V11,V17,V18), P_divide-{F}(V16,V17,V19), P_divide-{F}(V18,V18,V20), P_divide-{F}(V20,V18,V21), P_divide-{F}(V21,V22,V23), P_divide-{F}(V3,V22,V24), P_divide-{F}(V24,V23,V19) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #653: mergings( V3 == V4, V4 == V5, V5 == V8, V6 == V21, V7 == V22, V31 == V32, V8 == V9, V10 == V21, V11 == V22, V9 == V12, V13 == V21, V14 == V22; #628 ), references = 1, size of lhs = 37:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V7,V7,V0), P_divide-{F}(V0,V8,V0), P_divide-{F}(V0,V0,V9), P_divide-{F}(V9,V0,V10), P_divide-{F}(V10,V9,V9), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V0), P_divide-{F}(V4,V4,V16), P_divide-{F}(V16,V4,V17), P_divide-{F}(V18,V7,V5), P_divide-{F}(V0,V18,V4), P_divide-{F}(V0,V19,V18), P_divide-{F}(V0,V20,V21), P_divide-{F}(V22,V21,V7), P_divide-{F}(V22,V22,V23), P_divide-{F}(V23,V22,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V21,V27,V4), P_divide-{F}(V26,V27,V6), P_divide-{F}(V17,V28,V29), P_divide-{F}(V7,V28,V30), P_divide-{F}(V30,V29,V6) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #665: mergings( V24 == V16, V45 == V46, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V10, V31 == V32, V10 == V11, V8 == V20, V9 == V21; #629 ), references = 2, size of lhs = 40:
% 8.46/8.66 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V7,V7,V0), P_divide-{F}(V0,V8,V6), P_divide-{F}(V0,V0,V9), P_divide-{F}(V9,V0,V10), P_divide-{F}(V10,V9,V9), P_divide-{F}(V6,V9,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V5), P_divide-{F}(V5,V5,V13), P_divide-{F}(V13,V5,V14), P_divide-{F}(V14,V9,V6), P_divide-{F}(V15,V15,V9), P_divide-{F}(V7,V16,V15), P_divide-{F}(V17,V9,V5), P_divide-{F}(V0,V18,V17), P_divide-{F}(V0,V19,V17), P_divide-{F}(V0,V20,V21), P_divide-{F}(V22,V21,V7), P_divide-{F}(V22,V22,V23), P_divide-{F}(V23,V22,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V21,V27,V28), P_divide-{F}(V26,V27,V29), P_divide-{F}(V28,V28,V30), P_divide-{F}(V30,V28,V31), P_divide-{F}(V31,V32,V33), P_divide-{F}(V7,V32,V34), P_divide-{F}(V34,V33,V29) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #696: mergings( V3 == V10, V5 == V2, V2 == V8, V8 == V9, V9 == V10, V4 == V10, V10 == V12, V12 == V13; #686 ), references = 1, size of lhs = 13:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_c3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V5,V5,V0), P_divide-{F}(V1,V6,V5) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #705: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V10; #698 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V0,V3,V0), P_divide-{F}(V4,V4,V0), P_divide-{F}(V1,V5,V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #761: mergings( V10 == V19, V44 == V45, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V19, V8 == V19, V9 == V19, V30 == V31; #748 ), references = 2, size of lhs = 39:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V5,V5,V0), P_c3-{F}(V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V0,V8,V7), P_divide-{F}(V7,V0,V9), P_divide-{F}(V9,V9,V10), P_divide-{F}(V10,V9,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_divide-{F}(V13,V13,V14), P_divide-{F}(V14,V13,V15), P_divide-{F}(V15,V15,V16), P_divide-{F}(V16,V15,V17), P_divide-{F}(V17,V0,V7), P_divide-{F}(V18,V18,V0), P_divide-{F}(V5,V19,V18), P_divide-{F}(V0,V20,V21), P_divide-{F}(V22,V21,V5), P_divide-{F}(V22,V22,V23), P_divide-{F}(V23,V22,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V21,V27,V28), P_divide-{F}(V26,V27,V29), P_divide-{F}(V28,V28,V30), P_divide-{F}(V30,V28,V31), P_divide-{F}(V31,V32,V33), P_divide-{F}(V5,V32,V34), P_divide-{F}(V34,V33,V29) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #772: mergings( V10 == V17, V35 == V36, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V17, V8 == V17, V9 == V17, V21 == V22; #749 ), references = 3, size of lhs = 43:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V5,V5,V0), P_c3-{F}(V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V7,V7,V0), P_divide-{F}(V6,V8,V7), P_divide-{F}(V9,V9,V0), P_divide-{F}(V5,V10,V9), P_divide-{F}(V0,V11,V12), P_divide-{F}(V13,V12,V5), P_divide-{F}(V13,V13,V14), P_divide-{F}(V14,V13,V15), P_divide-{F}(V15,V15,V16), P_divide-{F}(V16,V15,V17), P_divide-{F}(V12,V18,V19), P_divide-{F}(V17,V18,V20), P_divide-{F}(V19,V19,V21), P_divide-{F}(V21,V19,V22), P_divide-{F}(V22,V23,V24), P_divide-{F}(V5,V23,V25), P_divide-{F}(V25,V24,V20), P_divide-{F}(V0,V26,V27), P_divide-{F}(V28,V27,V6), P_divide-{F}(V28,V28,V29), P_divide-{F}(V29,V28,V30), P_divide-{F}(V30,V30,V31), P_divide-{F}(V31,V30,V32), P_divide-{F}(V27,V33,V34), P_divide-{F}(V32,V33,V35), P_divide-{F}(V34,V34,V36), P_divide-{F}(V36,V34,V37), P_divide-{F}(V37,V38,V39), P_divide-{F}(V6,V38,V40), P_divide-{F}(V40,V39,V35) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #783: mergings( V10 == V24, V52 == V53, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V24, V8 == V24, V9 == V24, V38 == V39; #750 ), references = 1, size of lhs = 47:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V0,V4,V5), P_b3-{F}(V6), P_divide-{F}(V6,V6,V0), P_c3-{F}(V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V9,V8), P_divide-{F}(V4,V4,V10), P_divide-{F}(V10,V4,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_divide-{F}(V8,V0,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V16), P_divide-{F}(V16,V16,V17), P_divide-{F}(V17,V16,V18), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V18,V20), P_divide-{F}(V20,V20,V21), P_divide-{F}(V21,V20,V22), P_divide-{F}(V22,V0,V8), P_divide-{F}(V5,V23,V0), P_divide-{F}(V0,V23,V24), P_divide-{F}(V13,V25,V24), P_divide-{F}(V24,V25,V4), P_divide-{F}(V26,V26,V25), P_divide-{F}(V6,V27,V26), P_divide-{F}(V0,V28,V29), P_divide-{F}(V30,V29,V6), P_divide-{F}(V30,V30,V31), P_divide-{F}(V31,V30,V32), P_divide-{F}(V32,V32,V33), P_divide-{F}(V33,V32,V34), P_divide-{F}(V29,V35,V36), P_divide-{F}(V34,V35,V37), P_divide-{F}(V36,V36,V38), P_divide-{F}(V38,V36,V39), P_divide-{F}(V39,V40,V41), P_divide-{F}(V6,V40,V42), P_divide-{F}(V42,V41,V37) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #820: mergings( V2 == V3, V3 == V4, V4 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25; #810 ), references = 1, size of lhs = 24:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V5,V5,V0), P_c3-{F}(V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V0,V8,V7), P_divide-{F}(V7,V0,V9), P_divide-{F}(V9,V9,V10), P_divide-{F}(V10,V9,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_divide-{F}(V13,V13,V14), P_divide-{F}(V14,V13,V15), P_divide-{F}(V15,V15,V16), P_divide-{F}(V16,V15,V17), P_divide-{F}(V17,V0,V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #827: mergings( V3 == V11, V5 == V2, V2 == V11, V4 == V11, V11 == V13, V13 == V14; #811 ), references = 3, size of lhs = 29:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V5,V5,V0), P_c3-{F}(V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V0,V7,V0), P_divide-{F}(V8,V8,V0), P_divide-{F}(V6,V9,V8), P_divide-{F}(V0,V10,V11), P_divide-{F}(V12,V11,V6), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V16), P_divide-{F}(V11,V17,V18), P_divide-{F}(V16,V17,V19), P_divide-{F}(V18,V18,V20), P_divide-{F}(V20,V18,V21), P_divide-{F}(V21,V22,V23), P_divide-{F}(V6,V22,V24), P_divide-{F}(V24,V23,V19) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #860: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #852 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_c3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_b3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #899: mergings( V2 == V3, V3 == V4, V4 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #890 ), references = 3, size of lhs = 14:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V5,V5,V0), P_c3-{F}(V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V0,V7,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #911: mergings( V2 == V3, V3 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #891 ), references = 3, size of lhs = 12:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_c3-{F}(V5), P_divide-{F}(V5,V5,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #930: mergings( V2 == V3, V3 == V4; #926 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_b3-{F}(V3), P_c3-{F}(V3), P_divide-{F}(V3,V3,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #933: mergings( V2 == V3, V3 == V4; #927 ), references = 2, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_b3-{F}(V3), P_divide-{F}(V3,V3,V0), P_c3-{F}(V4), P_divide-{F}(V4,V4,V0), P_divide-{F}(V0,V5,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #936: exists( #13, #934 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_b3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #939: exists( #12, #937 ), references = 1, size of lhs = 7:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_a3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V0,V3,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #942: exists( #11, #940 ), references = 1, size of lhs = 5:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V1), P_divide-{F}(V0,V2,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #983: mergings( V3 == V5, V4 == V6; #978 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_b3-{F}(V6), P_c3-{F}(V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #984: exists( #8, #976 ), references = 1, size of lhs = 15:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_c3-{F}(V9), P_multiply-{F}(V8,V9,V10), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V6,V11,V10) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #987: mergings( V3 == V5, V4 == V6; #980 ), references = 1, size of lhs = 12:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V0), P_a2-{F}(V5), P_b3-{F}(V6), P_multiply-{F}(V0,V6,V6), P_c3-{F}(V7) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1007: mergings( V4 == V6, V5 == V7, V2 == V3; #1001 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1012: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #1002 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_b3-{F}(V3), P_a2-{F}(V4), P_c3-{F}(V5) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1017: mergings( V3 == V6, V4 == V7, V6 == V10, V2 == V5; #1003 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a2-{F}(V2), P_c3-{F}(V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V0,V0,V4), P_divide-{F}(V4,V0,V5), P_divide-{F}(V5,V4,V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1023: mergings( V3 == V5, V4 == V6, V1 == V2; #1018 ), references = 1, size of lhs = 8:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V4), P_b3-{F}(V5) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1028: mergings( V2 == V4, V3 == V5, V4 == V6, V5 == V7; #1019 ), references = 1, size of lhs = 8:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_b3-{F}(V3), P_a2-{F}(V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1033: mergings( V3 == V5, V4 == V6, V1 == V2; #1029 ), references = 1, size of lhs = 7:
% 8.46/8.66 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a1-{F}(V3), P_a2-{F}(V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1077: mergings( V2 == V3, V3 == V4; #1072 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_c3-{F}(V5), P_divide-{F}(V5,V5,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1080: mergings( V2 == V3, V3 == V4; #1073 ), references = 1, size of lhs = 13:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_a3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V5,V5,V0), P_c3-{F}(V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V0,V7,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1083: mergings( V2 == V3, V3 == V4; #1074 ), references = 1, size of lhs = 21:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_a3-{F}(V4), P_c3-{F}(V4), P_divide-{F}(V4,V4,V0), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V0,V7,V6), P_divide-{F}(V6,V0,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V5), P_divide-{F}(V5,V5,V10), P_divide-{F}(V10,V5,V11), P_divide-{F}(V11,V0,V6), P_divide-{F}(V12,V0,V5), P_divide-{F}(V0,V13,V12), P_divide-{F}(V0,V14,V12) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1103: mergings( V3 == V4, V4 == V5, V2 == V5; #1097 ), references = 1, size of lhs = 9:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_divide-{F}(V3,V3,V0), P_b3-{F}(V4), P_c3-{F}(V4), P_divide-{F}(V4,V4,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1107: mergings( V3 == V4, V4 == V5, V2 == V5; #1098 ), references = 2, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_divide-{F}(V3,V3,V0), P_b3-{F}(V4), P_divide-{F}(V4,V4,V0), P_c3-{F}(V5), P_divide-{F}(V5,V5,V0), P_divide-{F}(V0,V6,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1113: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V10 == V11; #1099 ), references = 1, size of lhs = 11:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_a2-{F}(V2), P_a3-{F}(V3), P_c3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V4,V4,V0), P_divide-{F}(V1,V5,V4) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1116: exists( #13, #1114 ), references = 2, size of lhs = 9:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_divide-{F}(V3,V3,V0), P_b3-{F}(V4), P_divide-{F}(V4,V4,V0), P_divide-{F}(V0,V5,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1119: exists( #12, #1117 ), references = 2, size of lhs = 7:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1122: exists( #11, #1120 ), references = 1, size of lhs = 5:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_divide-{F}(V0,V3,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1124: exists( #10, #1121 ), references = 1, size of lhs = 4:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_divide-{F}(V0,V2,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1126: exists( #9, #1123 ), references = 1, size of lhs = 3:
% 8.46/8.66 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0) | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 #1129: exists( #6, #1127 ), references = 1, size of lhs = 0:
% 8.46/8.66 FALSE | FALSE
% 8.46/8.66 (used 0 times, uses = {})
% 8.46/8.66
% 8.46/8.66 number of learnt formulas = 78
% 8.46/8.66
% 8.46/8.66
% 8.46/8.66 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/8.66
% 8.46/8.66 randbase = 1
%------------------------------------------------------------------------------