TSTP Solution File: GRP586-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:04:09 EDT 2022
% Result : Unsatisfiable 12.05s 12.25s
% Output : Refutation 12.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 14:26:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 12.05/12.25 GeoParameters:
% 12.05/12.25
% 12.05/12.25 tptp_input = 1
% 12.05/12.25 tptp_output = 0
% 12.05/12.25 nonempty = 1
% 12.05/12.25 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.05/12.25 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 12.05/12.25
% 12.05/12.25
% 12.05/12.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.05/12.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.05/12.25
% 12.05/12.25 RuleSystem INPUT:
% 12.05/12.25
% 12.05/12.25 Initial Rules:
% 12.05/12.25 #0: input, references = 8, size of lhs = 8:
% 12.05/12.25 P_double_divide-{F}(V0,V1,V3), P_inverse-{F}(V2,V4), P_double_divide-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_double_divide-{F}(V6,V1,V7), P_inverse-{F}(V7,V8), P_double_divide-{F}(V0,V8,V9), V9 == V2 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1: input, references = 5, size of lhs = 4:
% 12.05/12.25 P_multiply-{F}(V0,V1,V2), P_double_divide-{F}(V1,V0,V3), P_inverse-{F}(V3,V4), V2 == V4 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #2: input, references = 4, size of lhs = 5:
% 12.05/12.25 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #3: input, references = 42, size of lhs = 2:
% 12.05/12.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #4: input, references = 15, size of lhs = 1:
% 12.05/12.25 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #5: input, references = 35, size of lhs = 2:
% 12.05/12.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #6: input, references = 4, size of lhs = 0:
% 12.05/12.25 FALSE | EXISTS V0: P_b2-{T}(V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #7: input, references = 4, size of lhs = 0:
% 12.05/12.25 FALSE | EXISTS V0: P_a2-{T}(V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 number of initial rules = 8
% 12.05/12.25
% 12.05/12.25 Simplifiers:
% 12.05/12.25 #8: unsound, references = 3, size of lhs = 3:
% 12.05/12.25 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #9: unsound, references = 3, size of lhs = 3:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #10: unsound, references = 3, size of lhs = 3:
% 12.05/12.25 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #11: unsound, references = 3, size of lhs = 3:
% 12.05/12.25 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #12: unsound, references = 3, size of lhs = 3:
% 12.05/12.25 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 number of simplifiers = 5
% 12.05/12.25
% 12.05/12.25 Learnt:
% 12.05/12.25 #14: exists( #5, #1 ), references = 3, size of lhs = 2:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V3,V0) | P_multiply-{T}(V3,V2,V1)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #16: exists( #4, #1 ), references = 57, size of lhs = 2:
% 12.05/12.25 P_multiply-{F}(V0,V1,V2), P_double_divide-{F}(V1,V0,V3) | P_inverse-{T}(V3,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #18: exists( #3, #0 ), references = 7, size of lhs = 6:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V6,V2), P_double_divide-{F}(V4,V6,V7), P_inverse-{F}(V7,V8) | P_double_divide-{T}(V5,V8,V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #23: mergings( V7 == V11; #21 ), references = 2, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), V0 == V2, P_double_divide-{F}(V4,V1,V5), P_inverse-{F}(V5,V6), P_double_divide-{F}(V4,V3,V7), P_inverse-{F}(V7,V6), P_double_divide-{F}(V8,V9,V4), P_multiply-{F}(V9,V6,V10) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #26: exists( #5, #23 ), references = 3, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), V0 == V2, P_double_divide-{F}(V4,V1,V5), P_inverse-{F}(V5,V6), P_double_divide-{F}(V4,V3,V7), P_inverse-{F}(V7,V6), P_double_divide-{F}(V8,V9,V4) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #35: exists( #5, #33 ), references = 6, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), V0 == V2, P_double_divide-{F}(V4,V1,V5), P_double_divide-{F}(V4,V3,V5), P_double_divide-{F}(V6,V7,V5), P_double_divide-{F}(V8,V9,V4) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #49: mergings( V4 == V5; #45 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2, P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V8,V1,V9), P_inverse-{F}(V9,V10), P_double_divide-{F}(V10,V7,V11), P_double_divide-{F}(V12,V13,V11) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #50: exists( #5, #43 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V4), P_inverse-{F}(V6,V5), V2 == V6, P_double_divide-{F}(V7,V8,V4), P_double_divide-{F}(V9,V1,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V9), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V15,V16,V14) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #51: exists( #5, #44 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_double_divide-{F}(V0,V7,V6), P_inverse-{F}(V8,V7), V2 == V8, P_double_divide-{F}(V9,V1,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V9), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V15,V16,V14) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #56: mergings( V4 == V5; #52 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2, P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V8,V1,V9), P_inverse-{F}(V9,V10), P_double_divide-{F}(V10,V7,V11), P_double_divide-{F}(V12,V13,V11) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #57: exists( #3, #46 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V4), P_inverse-{F}(V6,V5), V2 == V6, P_double_divide-{F}(V7,V8,V4), P_double_divide-{F}(V9,V1,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V9), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V15,V16,V14) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #58: exists( #3, #47 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_double_divide-{F}(V0,V7,V6), P_inverse-{F}(V8,V7), V2 == V8, P_double_divide-{F}(V9,V1,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V9), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V15,V16,V14) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #63: mergings( V4 == V5; #59 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2, P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V8,V1,V9), P_inverse-{F}(V9,V10) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #64: exists( #3, #53 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V4), P_inverse-{F}(V6,V5), V2 == V6, P_double_divide-{F}(V7,V8,V4), P_double_divide-{F}(V9,V1,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #65: exists( #3, #54 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_double_divide-{F}(V0,V7,V6), P_inverse-{F}(V8,V7), V2 == V8, P_double_divide-{F}(V9,V1,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #68: mergings( V4 == V5; #66 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2, P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V8,V1,V9), P_inverse-{F}(V9,V10) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #71: mergings( V3 == V4; #69 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2, P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V8,V1,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #74: mergings( V1 == V4; #72 ), references = 5, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2, P_double_divide-{F}(V5,V7,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #77: mergings( V4 == V1; #75 ), references = 1, size of lhs = 5:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V6,V7) | P_double_divide-{T}(V5,V1,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #86: exists( #3, #74 ), references = 29, size of lhs = 4:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V4,V5) | P_double_divide-{T}(V5,V1,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #134: exists( #5, #132 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_double_divide-{F}(V3,V1,V2), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V5,V8,V4), P_inverse-{F}(V9,V8), V5 == V9, P_double_divide-{F}(V10,V11,V7) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #136: exists( #3, #133 ), references = 4, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_double_divide-{F}(V3,V1,V2), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V6), P_double_divide-{F}(V5,V7,V4), P_inverse-{F}(V8,V7), V5 == V8 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #154: mergings( V4 == V5; #152 ), references = 3, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V2,V6), P_double_divide-{F}(V5,V4,V7), P_inverse-{F}(V8,V6), P_double_divide-{F}(V9,V1,V8), V7 == V9, P_double_divide-{F}(V10,V11,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #174: mergings( V3 == V7; #172 ), references = 6, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V1,V5,V6), V6 == V2, P_double_divide-{F}(V1,V7,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #177: mergings( V4 == V0; #175 ), references = 8, size of lhs = 4:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5) | P_double_divide-{T}(V1,V5,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #191: exists( #3, #154 ), references = 3, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V2,V6), P_inverse-{F}(V7,V6), P_double_divide-{F}(V8,V1,V7), P_double_divide-{F}(V9,V10,V8) | P_double_divide-{T}(V5,V4,V8)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #206: mergings( V4 == V5; #203 ), references = 3, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V4), P_double_divide-{F}(V6,V1,V5), P_double_divide-{F}(V7,V8,V6), P_inverse-{F}(V9,V10), P_double_divide-{F}(V9,V11,V6), P_inverse-{F}(V12,V11), V9 == V12 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #209: mergings( V6 == V8, V7 == V9; #204 ), references = 4, size of lhs = 7:
% 12.05/12.25 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_a2-{F}(V3), P_double_divide-{F}(V2,V3,V4), P_inverse-{F}(V4,V3), P_double_divide-{F}(V5,V6,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #225: mergings( V4 == V8, V11 == V13, V13 == V15, V9 == V16, V15 == V17; #218 ), references = 2, size of lhs = 16:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V1,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), P_double_divide-{F}(V0,V7,V8), P_inverse-{F}(V9,V7), P_double_divide-{F}(V10,V11,V8), P_double_divide-{F}(V1,V12,V13), P_inverse-{F}(V13,V14), P_inverse-{F}(V15,V14), P_double_divide-{F}(V16,V12,V7), V16 == V15, P_inverse-{F}(V16,V17) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #230: mergings( V7 == V3, V3 == V10, V10 == V12, V12 == V14; #219 ), references = 2, size of lhs = 13:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_double_divide-{F}(V1,V0,V4), P_inverse-{F}(V0,V5), P_inverse-{F}(V6,V0), P_inverse-{F}(V7,V0), P_double_divide-{F}(V8,V9,V4), P_double_divide-{F}(V0,V10,V11), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V10,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #235: exists( #5, #231 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_double_divide-{F}(V1,V0,V4), P_inverse-{F}(V0,V5), P_inverse-{F}(V6,V0), P_inverse-{F}(V7,V0), P_double_divide-{F}(V8,V9,V4), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V12,V10,V0), P_double_divide-{F}(V13,V14,V11) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #236: exists( #5, #232 ), references = 2, size of lhs = 15:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V1,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), P_double_divide-{F}(V0,V7,V8), P_inverse-{F}(V9,V7), P_double_divide-{F}(V10,V11,V8), P_double_divide-{F}(V1,V12,V13), P_double_divide-{F}(V14,V12,V7), V14 == V13, P_inverse-{F}(V14,V15), P_double_divide-{F}(V16,V17,V13) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #239: exists( #3, #233 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_double_divide-{F}(V1,V0,V4), P_inverse-{F}(V0,V5), P_inverse-{F}(V6,V0), P_inverse-{F}(V7,V0), P_double_divide-{F}(V8,V9,V4), P_double_divide-{F}(V10,V11,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #241: exists( #3, #238 ), references = 3, size of lhs = 9:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_inverse-{F}(V0,V4), P_inverse-{F}(V5,V0), P_inverse-{F}(V6,V0), P_double_divide-{F}(V7,V8,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #244: exists( #5, #242 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_inverse-{F}(V4,V0), P_inverse-{F}(V5,V0), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V9,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #257: exists( #5, #252 ), references = 2, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V2,V6,V5), P_inverse-{F}(V7,V6), V3 == V7, P_double_divide-{F}(V8,V9,V5) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #258: exists( #5, #253 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V2,V10,V9), P_inverse-{F}(V11,V10), V7 == V11, P_double_divide-{F}(V12,V13,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #261: exists( #3, #255 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V2,V6,V5), P_inverse-{F}(V7,V6), V3 == V7, P_double_divide-{F}(V8,V9,V5) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #262: exists( #3, #256 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V2,V10,V9), P_inverse-{F}(V11,V10), V7 == V11, P_double_divide-{F}(V12,V13,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #265: exists( #3, #259 ), references = 3, size of lhs = 4:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), V2 == V4 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #304: mergings( V3 == V8, V8 == V10, V4 == V5, V5 == V7; #299 ), references = 1, size of lhs = 6:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_double_divide-{F}(V1,V0,V2), P_inverse-{F}(V0,V3), P_double_divide-{F}(V4,V5,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #310: mergings( V3 == V1, V1 == V7, V0 == V4, V4 == V6; #305 ), references = 4, size of lhs = 4:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V0,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #315: mergings( V0 == V5, V2 == V3, V3 == V4; #311 ), references = 4, size of lhs = 3:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #328: mergings( V0 == V4, V4 == V5, V5 == V6, V3 == V8, V8 == V1, V6 == V9; #320 ), references = 2, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V3,V1), V5 == V4, P_inverse-{F}(V5,V6), P_double_divide-{F}(V7,V8,V4) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #356: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #350 ), references = 5, size of lhs = 6:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V1,V2,V3), P_double_divide-{F}(V4,V2,V1), V4 == V3, P_inverse-{F}(V4,V5), P_double_divide-{F}(V6,V7,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #377: mergings( V3 == V5, V5 == V7, V8 == V10; #372 ), references = 1, size of lhs = 5:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V0), P_double_divide-{F}(V2,V2,V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V5,V6,V2) | P_double_divide-{T}(V6,V5,V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #381: exists( #3, #379 ), references = 1, size of lhs = 3:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V5,V3) | P_double_divide-{T}(V5,V4,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #398: mergings( V8 == V10, V10 == V12, V3 == V5, V5 == V6; #393 ), references = 3, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V0,V3,V4), P_inverse-{F}(V3,V5), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V1,V8,V9), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V8,V3), P_double_divide-{F}(V11,V10,V12) | P_multiply-{T}(V7,V6,V12)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #411: exists( #3, #356 ), references = 6, size of lhs = 3:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V3,V1), P_inverse-{F}(V2,V4) | P_double_divide-{T}(V1,V3,V2)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #445: mergings( V3 == V8, V8 == V9, V9 == V1, V10 == V5, V5 == V12, V12 == V13, V0 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V15; #433 ), references = 1, size of lhs = 5:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V1,V2,V0), P_inverse-{F}(V1,V3), V0 == V3 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #455: mergings( V4 == V5, V5 == V6, V3 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12; #447 ), references = 1, size of lhs = 4:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #530: mergings( V4 == V7, V3 == V5, V5 == V6; #526 ), references = 3, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V4,V2), P_inverse-{F}(V5,V6), P_double_divide-{F}(V5,V7,V2), P_inverse-{F}(V8,V7), V5 == V8 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #572: mergings( V5 == V7, V3 == V7; #569 ), references = 7, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V5,V1,V6), P_inverse-{F}(V6,V7), V3 == V7, P_double_divide-{F}(V8,V9,V5) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #575: exists( #4, #572 ), references = 8, size of lhs = 6:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V5,V1,V6), P_double_divide-{F}(V7,V8,V5) | P_inverse-{T}(V6,V3)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #582: mergings( V6 == V7; #579 ), references = 10, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V3,V3,V6), P_double_divide-{F}(V6,V3,V7), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V10,V5), P_double_divide-{F}(V11,V12,V6) | P_double_divide-{T}(V5,V1,V8)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #583: exists( #3, #577 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V6,V7,V5), P_inverse-{F}(V8,V9), P_double_divide-{F}(V10,V9,V11), P_double_divide-{F}(V10,V3,V11), P_double_divide-{F}(V12,V13,V11), P_double_divide-{F}(V14,V15,V10) | P_double_divide-{T}(V5,V1,V8)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #595: mergings( V4 == V6, V3 == V5, V5 == V14, V14 == V15, V7 == V11; #589 ), references = 15, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_double_divide-{F}(V3,V3,V4), P_double_divide-{F}(V4,V3,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V3,V7), P_double_divide-{F}(V0,V3,V8), P_inverse-{F}(V8,V9), P_double_divide-{F}(V10,V11,V4) | P_double_divide-{T}(V1,V7,V9)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #616: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V12, V12 == V15, V13 == V16, V17 == V22; #607 ), references = 1, size of lhs = 16:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V3,V1), P_double_divide-{F}(V4,V4,V5), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V0,V4,V6), P_inverse-{F}(V4,V7), P_inverse-{F}(V6,V8), P_double_divide-{F}(V0,V9,V6), V4 == V9, P_double_divide-{F}(V9,V9,V10), P_double_divide-{F}(V10,V9,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V9,V13), P_double_divide-{F}(V14,V15,V5), P_double_divide-{F}(V16,V17,V10), P_double_divide-{F}(V18,V19,V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #639: mergings( V2 == V3, V3 == V4, V4 == V20, V5 == V19, V19 == V18, V18 == V13, V13 == V17, V8 == V15, V9 == V16, V10 == V17, V11 == V14; #625 ), references = 2, size of lhs = 13:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V2,V0,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V0,V5,V2), P_inverse-{F}(V5,V6), P_double_divide-{F}(V5,V5,V7), P_double_divide-{F}(V7,V5,V2), P_inverse-{F}(V2,V8), V1 == V8, P_double_divide-{F}(V9,V10,V7), P_double_divide-{F}(V11,V12,V7), P_double_divide-{F}(V13,V14,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #644: mergings( V2 == V3, V4 == V11, V9 == V12, V13 == V18; #627 ), references = 2, size of lhs = 15:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V0,V2,V6), P_inverse-{F}(V2,V7), P_inverse-{F}(V6,V8), P_double_divide-{F}(V0,V9,V6), V9 == V2, P_double_divide-{F}(V9,V9,V10), P_double_divide-{F}(V10,V9,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V9,V13), P_double_divide-{F}(V14,V15,V3), P_double_divide-{F}(V16,V17,V10) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #650: mergings( V2 == V3, V4 == V12, V9 == V11, V11 == V13, V14 == V19; #626 ), references = 2, size of lhs = 15:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V0,V2,V6), P_inverse-{F}(V2,V7), P_inverse-{F}(V6,V8), P_double_divide-{F}(V0,V9,V6), V9 == V2, P_double_divide-{F}(V9,V9,V10), P_double_divide-{F}(V10,V9,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V9,V13), P_double_divide-{F}(V14,V15,V3), P_double_divide-{F}(V16,V17,V10) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #660: exists( #5, #654 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V4,V2), P_inverse-{F}(V4,V5), P_double_divide-{F}(V4,V4,V6), P_double_divide-{F}(V6,V4,V2), P_inverse-{F}(V2,V7), V1 == V7, P_double_divide-{F}(V8,V9,V3), P_double_divide-{F}(V10,V11,V6), P_double_divide-{F}(V12,V13,V6), P_double_divide-{F}(V14,V15,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #661: exists( #5, #655 ), references = 1, size of lhs = 15:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V2,V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V5,V7), P_double_divide-{F}(V0,V8,V5), V8 == V2, P_double_divide-{F}(V8,V8,V9), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V8,V12), P_double_divide-{F}(V13,V14,V4), P_double_divide-{F}(V15,V16,V3), P_double_divide-{F}(V17,V18,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #662: exists( #5, #656 ), references = 1, size of lhs = 15:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V2,V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V5,V7), P_double_divide-{F}(V0,V8,V5), V8 == V2, P_double_divide-{F}(V8,V8,V9), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V8,V12), P_double_divide-{F}(V13,V14,V4), P_double_divide-{F}(V15,V16,V3), P_double_divide-{F}(V17,V18,V9) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #666: exists( #3, #657 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V0,V3,V2), P_inverse-{F}(V3,V4), P_double_divide-{F}(V3,V3,V5), P_double_divide-{F}(V5,V3,V2), P_inverse-{F}(V2,V6), V1 == V6, P_double_divide-{F}(V7,V8,V5), P_double_divide-{F}(V9,V10,V5), P_double_divide-{F}(V11,V12,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #667: exists( #3, #658 ), references = 2, size of lhs = 13:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_double_divide-{F}(V7,V7,V8), P_double_divide-{F}(V8,V7,V9), P_inverse-{F}(V9,V10), P_inverse-{F}(V7,V11), P_double_divide-{F}(V12,V13,V3), P_double_divide-{F}(V14,V15,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #668: exists( #3, #659 ), references = 2, size of lhs = 13:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_double_divide-{F}(V7,V7,V8), P_double_divide-{F}(V8,V7,V9), P_inverse-{F}(V9,V10), P_inverse-{F}(V7,V11), P_double_divide-{F}(V12,V13,V3), P_double_divide-{F}(V14,V15,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #675: exists( #4, #667 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_double_divide-{F}(V7,V7,V8), P_double_divide-{F}(V8,V7,V9), P_inverse-{F}(V7,V10), P_double_divide-{F}(V11,V12,V3), P_double_divide-{F}(V13,V14,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #676: exists( #4, #668 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_double_divide-{F}(V7,V7,V8), P_double_divide-{F}(V8,V7,V9), P_inverse-{F}(V7,V10), P_double_divide-{F}(V11,V12,V3), P_double_divide-{F}(V13,V14,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #679: exists( #3, #672 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_double_divide-{F}(V7,V7,V8), P_inverse-{F}(V7,V9), P_double_divide-{F}(V10,V11,V3), P_double_divide-{F}(V12,V13,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #680: exists( #3, #673 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_double_divide-{F}(V7,V7,V8), P_inverse-{F}(V7,V9), P_double_divide-{F}(V10,V11,V3), P_double_divide-{F}(V12,V13,V8) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #683: exists( #3, #677 ), references = 2, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V10,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #684: exists( #3, #678 ), references = 2, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V4,V6), P_double_divide-{F}(V0,V7,V4), V7 == V2, P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V10,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #738: mergings( V3 == V5, V5 == V9, V6 == V10, V7 == V11, V8 == V12, V14 == V16, V16 == V17, V9 == V11, V4 == V12; #727 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V0), P_inverse-{F}(V0,V2), P_inverse-{F}(V3,V1), P_double_divide-{F}(V4,V0,V3), P_inverse-{F}(V4,V5), P_double_divide-{F}(V6,V7,V5), P_double_divide-{F}(V8,V9,V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #749: mergings( V4 == V9, V5 == V3, V3 == V10, V6 == V11, V7 == V12, V8 == V13, V15 == V17, V17 == V18, V10 == V12, V9 == V13; #728 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V0), P_inverse-{F}(V0,V2), P_inverse-{F}(V3,V1), P_double_divide-{F}(V4,V0,V3), P_inverse-{F}(V4,V5), P_double_divide-{F}(V6,V7,V5), P_double_divide-{F}(V8,V9,V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #789: mergings( V2 == V3, V4 == V7, V3 == V10, V7 == V9, V10 == V11; #783 ), references = 22, size of lhs = 6:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V1,V4), P_inverse-{F}(V0,V5), P_double_divide-{F}(V6,V7,V1) | P_inverse-{T}(V5,V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #819: exists( #5, #813 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V0,V5), V6 == V4, P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V9,V2), P_double_divide-{F}(V10,V11,V1), P_double_divide-{F}(V12,V13,V5) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #823: mergings( V4 == V9, V5 == V7, V7 == V8; #817 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), V1 == V0, P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V2,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V5,V1), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V9,V2) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #826: mergings( V7 == V8, V3 == V9; #818 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V0,V4), P_double_divide-{F}(V5,V0,V4), P_double_divide-{F}(V6,V0,V5), V6 == V4, P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V9,V2), P_double_divide-{F}(V10,V11,V1), P_double_divide-{F}(V12,V13,V5) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #834: exists( #5, #828 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_double_divide-{F}(V0,V6,V4), V6 == V2, P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V9,V4), P_double_divide-{F}(V10,V11,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #835: exists( #5, #829 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V0,V2,V4), P_inverse-{F}(V2,V5), P_double_divide-{F}(V0,V6,V4), V6 == V2, P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V9,V4), P_double_divide-{F}(V10,V11,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #841: mergings( V4 == V9, V7 == V8; #838 ), references = 1, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V0,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V8,V2), P_double_divide-{F}(V9,V10,V2) | P_multiply-{T}(V6,V5,V1)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #847: mergings( V4 == V5, V1 == V6; #844 ), references = 15, size of lhs = 6:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V0,V3), P_double_divide-{F}(V4,V5,V1), P_double_divide-{F}(V6,V7,V1), P_inverse-{F}(V8,V9) | P_double_divide-{T}(V1,V0,V0)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #879: mergings( V5 == V6, V6 == V9, V8 == V9, V9 == V11, V4 == V10, V10 == V7, V7 == V12; #869 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V3,V1,V0), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V9,V10,V0), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V15,V16,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #887: mergings( V5 == V6, V6 == V9, V8 == V9, V9 == V11, V4 == V10, V10 == V7, V7 == V12; #870 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V3,V1,V0), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V9,V10,V0), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V15,V16,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #895: mergings( V5 == V6, V6 == V9, V8 == V9, V9 == V11, V4 == V10, V10 == V7, V7 == V12; #871 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V3,V1,V0), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V9,V10,V0), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V17,V18,V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #935: mergings( V4 == V6, V6 == V7; #930 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #939: mergings( V4 == V6, V6 == V7, V7 == V8; #931 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #943: mergings( V4 == V6, V6 == V7, V7 == V8; #932 ), references = 1, size of lhs = 9:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #949: mergings( V2 == V3, V3 == V4; #944 ), references = 1, size of lhs = 4:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #953: exists( #4, #944 ), references = 1, size of lhs = 2:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1008: mergings( V4 == V6, V6 == V7; #1003 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V1), P_double_divide-{F}(V6,V7,V1), P_double_divide-{F}(V8,V9,V1), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V1), P_double_divide-{F}(V14,V15,V3), P_inverse-{F}(V16,V17), P_double_divide-{F}(V16,V18,V3), P_inverse-{F}(V19,V18), V16 == V19 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1011: mergings( V4 == V6, V6 == V7; #1004 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V0,V2), P_inverse-{F}(V4,V3), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_double_divide-{F}(V9,V10,V1), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V14,V1), P_inverse-{F}(V15,V16), P_double_divide-{F}(V15,V17,V4), P_inverse-{F}(V18,V17), V15 == V18 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1016: mergings( V4 == V6, V6 == V7, V7 == V8, V3 == V9; #1005 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V5,V1), P_double_divide-{F}(V6,V7,V1), P_double_divide-{F}(V8,V9,V1), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V1), P_double_divide-{F}(V14,V15,V3), P_inverse-{F}(V16,V17), P_double_divide-{F}(V16,V18,V3), P_inverse-{F}(V19,V18), V16 == V19 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1022: mergings( V2 == V3, V3 == V4; #1017 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V6,V2), P_inverse-{F}(V7,V8), P_double_divide-{F}(V7,V9,V2), P_inverse-{F}(V10,V9), V7 == V10 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1025: mergings( V2 == V3, V3 == V4; #1018 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V0,V1), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V6,V8,V3), P_inverse-{F}(V9,V8), V6 == V9 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1030: mergings( V2 == V3, V3 == V4, V4 == V5, V0 == V6; #1019 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V0,V1), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V6,V2), P_inverse-{F}(V7,V8), P_double_divide-{F}(V7,V9,V2), P_inverse-{F}(V10,V9), V7 == V10 | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1106: mergings( V4 == V6, V6 == V7; #1103 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_double_divide-{F}(V13,V0,V14), P_inverse-{F}(V14,V15), P_inverse-{F}(V15,V16), P_double_divide-{F}(V0,V16,V17), V17 == V13, P_double_divide-{F}(V0,V18,V19) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1110: mergings( V3 == V5, V5 == V6; #1107 ), references = 1, size of lhs = 10:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_double_divide-{F}(V13,V0,V14), P_inverse-{F}(V14,V15), P_inverse-{F}(V15,V16) | P_double_divide-{T}(V0,V16,V13)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1124: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V0 == V8, V14 == V12, V11 == V13, V12 == V16; #1114 ), references = 1, size of lhs = 7:
% 12.05/12.25 P_inverse-{F}(V0,V1), V0 == V1, P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V0,V5), P_inverse-{F}(V5,V4), P_inverse-{F}(V4,V6), P_inverse-{F}(V6,V7) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1135: mergings( V5 == V7, V7 == V9, V3 == V11, V8 == V6, V6 == V12; #1129 ), references = 1, size of lhs = 16:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V1,V2,V0), P_inverse-{F}(V0,V3), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V6,V4), P_inverse-{F}(V9,V8), P_double_divide-{F}(V10,V1,V9), P_inverse-{F}(V11,V10), P_inverse-{F}(V12,V13), P_double_divide-{F}(V12,V12,V14), P_double_divide-{F}(V14,V12,V11), P_double_divide-{F}(V15,V16,V14) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1166: mergings( V5 == V8, V4 == V6, V6 == V7; #1161 ), references = 1, size of lhs = 11:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V1,V3,V1), P_inverse-{F}(V4,V3), V2 == V4, P_double_divide-{F}(V5,V6,V2), P_double_divide-{F}(V7,V8,V2), P_double_divide-{F}(V9,V10,V2), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V14,V2), P_double_divide-{F}(V0,V15,V16) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1170: mergings( V4 == V6, V6 == V7, V3 == V8; #1162 ), references = 1, size of lhs = 12:
% 12.05/12.25 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V3,V5), P_double_divide-{F}(V5,V5,V6), P_inverse-{F}(V5,V7), P_double_divide-{F}(V3,V5,V8), V8 == V4, P_double_divide-{F}(V9,V10,V6), P_double_divide-{F}(V11,V12,V6), P_double_divide-{F}(V13,V14,V6), P_double_divide-{F}(V15,V16,V6), P_double_divide-{F}(V3,V17,V18) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1207: mergings( V4 == V6, V6 == V7, V7 == V8, V21 == V23; #1201 ), references = 1, size of lhs = 18:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_inverse-{F}(V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V13,V13,V16), P_double_divide-{F}(V16,V13,V17), P_inverse-{F}(V17,V18), P_double_divide-{F}(V18,V0,V19), V15 == V19, P_inverse-{F}(V15,V20), P_double_divide-{F}(V21,V22,V15), P_double_divide-{F}(V23,V24,V16), P_double_divide-{F}(V25,V26,V19) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1212: mergings( V4 == V6, V6 == V7, V7 == V8, V21 == V23; #1202 ), references = 1, size of lhs = 19:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_inverse-{F}(V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V13,V13,V16), P_double_divide-{F}(V16,V13,V17), P_inverse-{F}(V17,V18), P_inverse-{F}(V18,V19), P_double_divide-{F}(V18,V0,V20), V15 == V20, P_inverse-{F}(V15,V21), P_double_divide-{F}(V22,V23,V15), P_double_divide-{F}(V24,V25,V16), P_double_divide-{F}(V26,V27,V20) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1221: mergings( V4 == V6, V6 == V7, V7 == V8, V23 == V25; #1215 ), references = 1, size of lhs = 18:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_inverse-{F}(V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V13,V13,V16), P_double_divide-{F}(V16,V13,V17), P_inverse-{F}(V17,V18), P_double_divide-{F}(V18,V0,V19), V15 == V19, P_double_divide-{F}(V20,V21,V15), P_double_divide-{F}(V22,V23,V15), P_double_divide-{F}(V24,V25,V16), P_double_divide-{F}(V26,V27,V19) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1226: mergings( V4 == V6, V6 == V7, V7 == V8, V23 == V25; #1216 ), references = 1, size of lhs = 19:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_inverse-{F}(V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V13,V13,V16), P_double_divide-{F}(V16,V13,V17), P_inverse-{F}(V17,V18), P_inverse-{F}(V18,V19), P_double_divide-{F}(V18,V0,V20), V15 == V20, P_double_divide-{F}(V21,V22,V15), P_double_divide-{F}(V23,V24,V15), P_double_divide-{F}(V25,V26,V16), P_double_divide-{F}(V27,V28,V20) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1233: mergings( V3 == V5, V5 == V6, V6 == V7, V20 == V22; #1227 ), references = 3, size of lhs = 14:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_inverse-{F}(V13,V14), P_double_divide-{F}(V13,V13,V15), P_double_divide-{F}(V15,V13,V16), P_inverse-{F}(V16,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V20,V15), P_double_divide-{F}(V21,V22,V18) | P_double_divide-{T}(V0,V14,V18)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1238: mergings( V3 == V5, V5 == V6, V6 == V7, V20 == V22; #1228 ), references = 1, size of lhs = 15:
% 12.05/12.25 P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_double_divide-{F}(V3,V4,V1), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_inverse-{F}(V9,V10), P_double_divide-{F}(V11,V12,V1), P_inverse-{F}(V13,V14), P_double_divide-{F}(V13,V13,V15), P_double_divide-{F}(V15,V13,V16), P_inverse-{F}(V16,V17), P_inverse-{F}(V17,V18), P_double_divide-{F}(V17,V0,V19), P_double_divide-{F}(V20,V21,V15), P_double_divide-{F}(V22,V23,V19) | P_double_divide-{T}(V0,V14,V19)
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1262: mergings( V3 == V8, V6 == V10, V13 == V43, V31 == V46, V18 == V29, V29 == V45, V8 == V5, V9 == V11, V12 == V27, V32 == V24; #1251 ), references = 2, size of lhs = 30:
% 12.05/12.25 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V3,V0), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V7,V4), P_inverse-{F}(V10,V9), P_double_divide-{F}(V11,V2,V10), P_inverse-{F}(V12,V11), P_inverse-{F}(V13,V7), P_double_divide-{F}(V8,V14,V15), P_inverse-{F}(V15,V16), P_double_divide-{F}(V15,V15,V17), P_double_divide-{F}(V17,V15,V13), P_double_divide-{F}(V0,V16,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V19,V20), P_double_divide-{F}(V20,V19,V12), P_inverse-{F}(V19,V21), P_double_divide-{F}(V21,V14,V21), P_double_divide-{F}(V21,V21,V22), P_inverse-{F}(V21,V23), P_double_divide-{F}(V24,V25,V20), P_double_divide-{F}(V26,V27,V22), P_double_divide-{F}(V28,V29,V22), P_double_divide-{F}(V30,V31,V22), P_double_divide-{F}(V32,V33,V22), P_double_divide-{F}(V34,V35,V17) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1313: mergings( V4 == V6, V6 == V7, V7 == V8, V8 == V9; #1308 ), references = 1, size of lhs = 41:
% 12.05/12.25 P_b2-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_a2-{F}(V3), P_inverse-{F}(V4,V3), P_double_divide-{F}(V5,V6,V1), P_double_divide-{F}(V7,V8,V1), P_double_divide-{F}(V9,V10,V1), P_inverse-{F}(V11,V12), P_double_divide-{F}(V13,V14,V1), P_inverse-{F}(V15,V16), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V15,V15,V18), P_double_divide-{F}(V18,V15,V19), P_inverse-{F}(V19,V20), P_double_divide-{F}(V20,V20,V21), P_double_divide-{F}(V21,V20,V22), P_inverse-{F}(V22,V23), P_double_divide-{F}(V23,V3,V24), P_inverse-{F}(V24,V25), P_inverse-{F}(V20,V26), P_double_divide-{F}(V26,V27,V26), P_double_divide-{F}(V26,V26,V28), P_inverse-{F}(V26,V29), P_double_divide-{F}(V25,V30,V4), P_inverse-{F}(V30,V31), P_double_divide-{F}(V31,V27,V32), P_inverse-{F}(V32,V33), P_double_divide-{F}(V0,V33,V17), P_double_divide-{F}(V32,V32,V34), P_double_divide-{F}(V34,V32,V35), P_inverse-{F}(V35,V30), P_double_divide-{F}(V36,V37,V17), P_double_divide-{F}(V38,V39,V18), P_inverse-{F}(V40,V41), P_double_divide-{F}(V42,V43,V21), P_double_divide-{F}(V44,V45,V28), P_double_divide-{F}(V46,V47,V28), P_double_divide-{F}(V48,V49,V28), P_double_divide-{F}(V50,V51,V28), P_double_divide-{F}(V52,V53,V34) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1333: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V12 == V18, V14 == V19, V15 == V20, V16 == V21, V18 == V33, V19 == V34, V20 == V35, V21 == V31, V27 == V32, V32 == V33, V29 == V34, V30 == V13; #1315 ), references = 1, size of lhs = 29:
% 12.05/12.25 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V10,V10,V12), P_double_divide-{F}(V12,V10,V13), P_inverse-{F}(V13,V14), P_double_divide-{F}(V14,V2,V15), P_inverse-{F}(V15,V16), P_double_divide-{F}(V16,V10,V3), P_inverse-{F}(V10,V17), P_double_divide-{F}(V17,V18,V17), P_inverse-{F}(V17,V19), P_double_divide-{F}(V17,V17,V20), P_double_divide-{F}(V20,V17,V21), P_inverse-{F}(V21,V10), P_double_divide-{F}(V22,V23,V20), P_double_divide-{F}(V24,V25,V11), P_double_divide-{F}(V26,V27,V20), P_double_divide-{F}(V28,V29,V12), P_double_divide-{F}(V30,V31,V20), P_double_divide-{F}(V32,V33,V20), P_double_divide-{F}(V34,V35,V20), P_double_divide-{F}(V36,V37,V20), P_double_divide-{F}(V38,V39,V20) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1352: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V13 == V17, V15 == V18, V16 == V19, V0 == V20, V17 == V32, V18 == V33, V19 == V34, V20 == V30, V26 == V31, V31 == V32, V28 == V33, V29 == V14; #1334 ), references = 1, size of lhs = 27:
% 12.05/12.25 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V9), P_double_divide-{F}(V10,V10,V11), P_double_divide-{F}(V11,V10,V12), P_inverse-{F}(V12,V13), P_double_divide-{F}(V13,V2,V14), P_inverse-{F}(V14,V15), P_double_divide-{F}(V15,V10,V3), P_inverse-{F}(V10,V16), P_double_divide-{F}(V16,V17,V16), P_inverse-{F}(V16,V18), P_double_divide-{F}(V16,V16,V19), P_double_divide-{F}(V19,V16,V20), P_inverse-{F}(V20,V10), P_double_divide-{F}(V21,V22,V19), P_double_divide-{F}(V23,V24,V19), P_double_divide-{F}(V25,V26,V11), P_double_divide-{F}(V27,V28,V19), P_double_divide-{F}(V29,V30,V19), P_double_divide-{F}(V31,V32,V19), P_double_divide-{F}(V33,V34,V19), P_double_divide-{F}(V35,V36,V19) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1366: mergings( V6 == V11, V8 == V12, V9 == V13, V10 == V14, V11 == V26, V12 == V27, V13 == V28, V14 == V24, V20 == V25, V25 == V26, V22 == V27, V23 == V7; #1353 ), references = 2, size of lhs = 26:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V9,V10), P_double_divide-{F}(V10,V9,V11), P_inverse-{F}(V11,V12), P_double_divide-{F}(V12,V1,V13), P_inverse-{F}(V13,V14), P_double_divide-{F}(V14,V9,V2), P_inverse-{F}(V9,V15), P_double_divide-{F}(V15,V16,V15), P_inverse-{F}(V15,V17), P_double_divide-{F}(V15,V15,V18), P_double_divide-{F}(V18,V15,V19), P_inverse-{F}(V19,V9), P_double_divide-{F}(V20,V21,V18), P_double_divide-{F}(V22,V23,V18), P_double_divide-{F}(V24,V25,V10), P_double_divide-{F}(V26,V27,V18), P_double_divide-{F}(V28,V29,V18), P_double_divide-{F}(V30,V31,V18), P_double_divide-{F}(V32,V33,V18), P_double_divide-{F}(V34,V35,V18) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1419: mergings( V4 == V9, V9 == V10, V10 == V12, V5 == V6, V6 == V7, V7 == V8; #1412 ), references = 1, size of lhs = 14:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V9,V3), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V3), P_double_divide-{F}(V14,V15,V3), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V21), P_double_divide-{F}(V22,V23,V3) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1425: mergings( V3 == V5, V5 == V6, V6 == V7, V4 == V0; #1420 ), references = 2, size of lhs = 7:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V10) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1514: mergings( V5 == V7, V7 == V8; #1511 ), references = 1, size of lhs = 13:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1), P_double_divide-{F}(V1,V1,V2), P_inverse-{F}(V1,V3), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V9,V2), P_inverse-{F}(V10,V11), P_double_divide-{F}(V12,V13,V2), P_inverse-{F}(V14,V15), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V21) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1518: mergings( V3 == V4, V4 == V5; #1515 ), references = 1, size of lhs = 8:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V10), P_inverse-{F}(V11,V12) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1520: exists( #4, #1515 ), references = 1, size of lhs = 2:
% 12.05/12.25 P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1522: exists( #7, #1519 ), references = 1, size of lhs = 1:
% 12.05/12.25 P_b2-{F}(V0) | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 #1524: exists( #6, #1521 ), references = 1, size of lhs = 0:
% 12.05/12.25 FALSE | FALSE
% 12.05/12.25 (used 0 times, uses = {})
% 12.05/12.25
% 12.05/12.25 number of learnt formulas = 121
% 12.05/12.25
% 12.05/12.25
% 12.05/12.25 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.05/12.25
% 12.05/12.25 randbase = 1
%------------------------------------------------------------------------------