TSTP Solution File: BOO025-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 05:58:40 EDT 2022
% Result : Unsatisfiable 123.92s 124.13s
% Output : Refutation 123.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 08:38:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 123.92/124.13 GeoParameters:
% 123.92/124.13
% 123.92/124.13 tptp_input = 1
% 123.92/124.13 tptp_output = 0
% 123.92/124.13 nonempty = 1
% 123.92/124.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 123.92/124.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 123.92/124.13
% 123.92/124.13
% 123.92/124.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 123.92/124.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 123.92/124.13
% 123.92/124.13 RuleSystem INPUT:
% 123.92/124.13
% 123.92/124.13 Initial Rules:
% 123.92/124.13 #0: input, references = 10, size of lhs = 3:
% 123.92/124.13 P_add-{F}(V0,V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V1 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1: input, references = 24, size of lhs = 6:
% 123.92/124.13 P_add-{F}(V1,V2,V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V0,V5), P_multiply-{F}(V2,V0,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2: input, references = 5, size of lhs = 4:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #3: input, references = 12, size of lhs = 9:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V1,V2,V3,V4), P_inverse-{F}(V2,V5), P_multiply-{F}(V1,V5,V6), P_multiply-{F}(V1,V3,V7), P_multiply-{F}(V5,V3,V8), P_add-{F}(V7,V8,V9), P_add-{F}(V6,V9,V10), V4 == V10 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #4: input, references = 4, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V1,V1,V2,V3), V3 == V2 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #5: input, references = 4, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V1,V2,V2,V3), V3 == V1 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #6: input, references = 4, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V1,V2,V1,V3), V3 == V1 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #7: input, references = 8, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V6), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V4,V5,V6) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #8: input, references = 48, size of lhs = 2:
% 123.92/124.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #9: input, references = 32, size of lhs = 2:
% 123.92/124.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #10: input, references = 21, size of lhs = 1:
% 123.92/124.13 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #11: input, references = 4, size of lhs = 0:
% 123.92/124.13 FALSE | EXISTS V0: P_n1-{T}(V0)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #12: input, references = 6, size of lhs = 3:
% 123.92/124.13 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_pixley-{T}(V0,V1,V2,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #13: input, references = 4, size of lhs = 0:
% 123.92/124.13 FALSE | EXISTS V0: P_b-{T}(V0)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #14: input, references = 5, size of lhs = 0:
% 123.92/124.13 FALSE | EXISTS V0: P_a-{T}(V0)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 number of initial rules = 15
% 123.92/124.13
% 123.92/124.13 Simplifiers:
% 123.92/124.13 #15: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #16: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #17: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #18: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #19: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_pixley-{F}(V0,V1,V2,V3), P_pixley-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #20: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #21: unsound, references = 3, size of lhs = 3:
% 123.92/124.13 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 number of simplifiers = 7
% 123.92/124.13
% 123.92/124.13 Learnt:
% 123.92/124.13 #24: exists( #12, #4 ), references = 71, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), #-{F} V1, #-{F} V2 | P_pixley-{T}(V1,V1,V2,V2)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #25: exists( #12, #3 ), references = 2, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V2,V5,V7), P_add-{F}(V6,V7,V8), P_add-{F}(V4,V8,V9) | P_pixley-{T}(V3,V1,V5,V9)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #27: exists( #8, #0 ), references = 111, size of lhs = 1:
% 123.92/124.13 P_add-{F}(V0,V1,V2) | P_multiply-{T}(V2,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #29: exists( #8, #1 ), references = 101, size of lhs = 4:
% 123.92/124.13 P_add-{F}(V0,V1,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V4,V5,V6) | P_multiply-{T}(V3,V2,V6)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #32: exists( #9, #1 ), references = 81, size of lhs = 4:
% 123.92/124.13 P_add-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V0,V3,V5), P_multiply-{F}(V1,V3,V6) | P_add-{T}(V5,V6,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #35: exists( #8, #33 ), references = 1, size of lhs = 5:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V5,V4,V2), P_add-{F}(V3,V5,V6) | P_multiply-{T}(V4,V6,V0)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #48: mergings( V5 == V6; #46 ), references = 30, size of lhs = 6:
% 123.92/124.13 P_add-{F}(V0,V0,V1), P_multiply-{F}(V1,V0,V2), P_add-{F}(V2,V2,V1), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V5,V4,V1), P_add-{F}(V3,V5,V6) | P_multiply-{T}(V4,V6,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #53: exists( #9, #2 ), references = 25, size of lhs = 2:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #55: exists( #9, #3 ), references = 6, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V2,V5,V8), P_add-{F}(V7,V8,V9) | P_add-{T}(V4,V9,V6)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #62: exists( #12, #5 ), references = 31, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), #-{F} V1, #-{F} V2 | P_pixley-{T}(V1,V2,V2,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #68: mergings( V0 == V2; #66 ), references = 1, size of lhs = 3:
% 123.92/124.13 P_b-{F}(V0), P_a-{F}(V0), P_n1-{F}(V0) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #71: exists( #8, #69 ), references = 3, size of lhs = 8:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V4,V2,V3), P_multiply-{F}(V2,V5,V3), P_add-{F}(V6,V4,V5), P_pixley-{F}(V6,V1,V2,V7), V7 == V3 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #82: exists( #8, #80 ), references = 10, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_multiply-{F}(V5,V9,V10), P_add-{F}(V4,V10,V11), V6 == V11 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #107: mergings( V9 == V10; #105 ), references = 2, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_add-{F}(V6,V6,V8), P_multiply-{F}(V8,V6,V9), V9 == V8, P_multiply-{F}(V10,V5,V7), P_add-{F}(V10,V2,V11), P_multiply-{F}(V5,V11,V4) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #110: mergings( V7 == V8; #108 ), references = 1, size of lhs = 9:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V2), P_pixley-{F}(V4,V1,V4,V5), P_multiply-{F}(V4,V4,V6), P_multiply-{F}(V3,V4,V6), P_add-{F}(V5,V5,V7), P_multiply-{F}(V7,V5,V8), V8 == V7 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #113: exists( #9, #111 ), references = 7, size of lhs = 6:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V2), P_pixley-{F}(V4,V1,V4,V5), P_multiply-{F}(V4,V4,V6), P_multiply-{F}(V3,V4,V6) | P_add-{T}(V5,V5,V5)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #116: exists( #9, #82 ), references = 60, size of lhs = 8:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_multiply-{F}(V5,V9,V10) | P_add-{T}(V4,V10,V6)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #122: exists( #12, #6 ), references = 37, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), #-{F} V1, #-{F} V2 | P_pixley-{T}(V2,V1,V2,V2)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #123: exists( #12, #71 ), references = 3, size of lhs = 6:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V4,V2,V3), P_multiply-{F}(V2,V5,V3), P_add-{F}(V6,V4,V5) | P_pixley-{T}(V6,V1,V2,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #124: exists( #12, #3 ), references = 1, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V2,V5,V7), P_add-{F}(V6,V7,V8), P_add-{F}(V4,V8,V9) | P_pixley-{T}(V3,V1,V5,V9)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #129: exists( #8, #127 ), references = 22, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V1,V1,V1), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_add-{F}(V3,V4,V4), P_inverse-{F}(V5,V4), P_pixley-{F}(V1,V5,V1,V6), P_add-{F}(V7,V4,V4), P_multiply-{F}(V7,V1,V8), P_add-{F}(V8,V6,V9) | P_multiply-{T}(V1,V4,V9)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #140: exists( #9, #136 ), references = 9, size of lhs = 8:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V2,V5,V8), P_multiply-{F}(V4,V8,V7), P_multiply-{F}(V8,V6,V9) | P_add-{T}(V7,V8,V9)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #145: exists( #8, #141 ), references = 6, size of lhs = 4:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V3,V1,V3,V3), P_add-{F}(V3,V2,V2) | P_multiply-{T}(V3,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #158: mergings( V3 == V4, V4 == V5; #154 ), references = 1, size of lhs = 16:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_multiply-{F}(V5,V4,V5), P_multiply-{F}(V5,V2,V6), P_add-{F}(V5,V2,V7), P_multiply-{F}(V5,V8,V6), P_pixley-{F}(V5,V1,V9,V9), P_multiply-{F}(V4,V9,V9), P_multiply-{F}(V9,V7,V10), P_multiply-{F}(V9,V8,V10), P_pixley-{F}(V5,V3,V9,V11), P_multiply-{F}(V9,V11,V12), P_inverse-{F}(V13,V9), P_pixley-{F}(V5,V13,V8,V14), V14 == V12 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #161: mergings( V3 == V4, V4 == V5; #155 ), references = 1, size of lhs = 17:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V4), P_add-{F}(V6,V2,V5), P_multiply-{F}(V6,V2,V7), P_pixley-{F}(V6,V1,V4,V8), P_multiply-{F}(V9,V8,V4), P_pixley-{F}(V6,V3,V9,V10), P_multiply-{F}(V6,V9,V11), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V6,V12,V6), P_multiply-{F}(V12,V4,V4), P_inverse-{F}(V13,V12), P_pixley-{F}(V6,V13,V4,V14), P_multiply-{F}(V4,V14,V15), V10 == V15 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #190: mergings( V2 == V14, V12 == V13, V14 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #178 ), references = 1, size of lhs = 12:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V0,V0,V1), P_multiply-{F}(V2,V1,V2), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V2), P_add-{F}(V2,V0,V1), P_pixley-{F}(V2,V3,V1,V4), P_pixley-{F}(V0,V3,V5,V6), P_multiply-{F}(V5,V0,V6), P_multiply-{F}(V0,V5,V7), P_multiply-{F}(V3,V5,V7), P_inverse-{F}(V8,V6) | P_inverse-{T}(V3,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #202: mergings( V12 == V15, V2 == V13, V14 == V15, V13 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #179 ), references = 1, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V0,V0,V1), P_multiply-{F}(V2,V0,V2), P_inverse-{F}(V2,V0), P_add-{F}(V2,V0,V1), P_pixley-{F}(V2,V3,V0,V4), P_pixley-{F}(V0,V3,V5,V6), P_multiply-{F}(V5,V0,V6), P_multiply-{F}(V0,V5,V7), P_multiply-{F}(V3,V5,V7), P_inverse-{F}(V8,V6) | P_inverse-{T}(V3,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #217: exists( #8, #215 ), references = 2, size of lhs = 8:
% 123.92/124.13 P_add-{F}(V0,V0,V1), P_multiply-{F}(V2,V0,V3), P_add-{F}(V2,V4,V5), P_multiply-{F}(V5,V1,V6), P_multiply-{F}(V4,V0,V7), P_multiply-{F}(V3,V6,V8), P_multiply-{F}(V7,V6,V9), P_add-{F}(V8,V9,V10) | P_multiply-{T}(V0,V5,V10)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #238: mergings( V3 == V4; #236 ), references = 3, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_inverse-{F}(V10,V11), P_multiply-{F}(V12,V11,V4), P_pixley-{F}(V12,V10,V5,V13), V13 == V6, P_multiply-{F}(V12,V5,V14), P_multiply-{F}(V15,V5,V14), P_add-{F}(V15,V11,V9) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #258: mergings( V3 == V4; #256 ), references = 1, size of lhs = 16:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_add-{F}(V5,V5,V9), P_add-{F}(V9,V10,V9), P_multiply-{F}(V9,V10,V4), P_inverse-{F}(V11,V10), P_pixley-{F}(V9,V11,V9,V12), V12 == V6, P_add-{F}(V13,V14,V9), P_multiply-{F}(V13,V5,V15), P_multiply-{F}(V14,V5,V15) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #264: mergings( V0 == V2, V2 == V3; #261 ), references = 1, size of lhs = 9:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V1,V1,V0), P_pixley-{F}(V0,V0,V1,V2), P_multiply-{F}(V0,V1,V3), P_pixley-{F}(V0,V0,V0,V4), V4 == V2, P_add-{F}(V5,V6,V0), P_multiply-{F}(V5,V1,V7), P_multiply-{F}(V6,V1,V7) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #274: exists( #8, #270 ), references = 1, size of lhs = 6:
% 123.92/124.13 P_add-{F}(V0,V1,V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V2,V0,V0), P_add-{F}(V2,V0,V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V0,V4,V5) | P_multiply-{T}(V0,V0,V5)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #294: exists( #8, #238 ), references = 2, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_multiply-{F}(V3,V6,V4), P_add-{F}(V3,V6,V5), P_inverse-{F}(V7,V6), P_pixley-{F}(V3,V1,V8,V9), P_pixley-{F}(V3,V7,V8,V10), V10 == V9 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #323: exists( #8, #319 ), references = 1, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V3,V3,V6), P_pixley-{F}(V3,V1,V7,V8), P_multiply-{F}(V7,V5,V9), P_multiply-{F}(V7,V6,V9), P_add-{F}(V8,V8,V10), P_multiply-{F}(V11,V4,V9), P_multiply-{F}(V12,V4,V9), P_add-{F}(V11,V12,V10), P_multiply-{F}(V10,V8,V13), V13 == V9 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #325: mergings( V3 == V4; #322 ), references = 1, size of lhs = 16:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V3,V3,V6), P_multiply-{F}(V7,V7,V4), P_inverse-{F}(V8,V7), P_pixley-{F}(V3,V1,V9,V10), P_multiply-{F}(V9,V5,V11), P_multiply-{F}(V9,V6,V11), P_add-{F}(V10,V10,V12), P_multiply-{F}(V13,V7,V11), P_multiply-{F}(V14,V7,V11), P_add-{F}(V13,V14,V15), P_pixley-{F}(V7,V8,V15,V16), V16 == V10 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #329: mergings( V3 == V4; #327 ), references = 1, size of lhs = 12:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V3,V3,V5), P_multiply-{F}(V5,V5,V4), P_inverse-{F}(V6,V5), P_pixley-{F}(V3,V1,V7,V8), P_add-{F}(V8,V8,V9), P_add-{F}(V7,V7,V10), P_pixley-{F}(V5,V6,V10,V11), V11 == V8 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #368: mergings( V2 == V3, V3 == V4; #365 ), references = 1, size of lhs = 12:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V3,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V7), P_add-{F}(V5,V6,V8), P_add-{F}(V7,V8,V9), P_multiply-{F}(V10,V3,V8), P_add-{F}(V11,V10,V3), P_multiply-{F}(V11,V3,V12) | P_multiply-{T}(V3,V3,V9)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #402: exists( #9, #400 ), references = 4, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_multiply-{F}(V6,V3,V7), P_add-{F}(V6,V8,V9), P_multiply-{F}(V8,V3,V10), P_pixley-{F}(V3,V1,V9,V11), P_multiply-{F}(V9,V5,V12), P_add-{F}(V4,V12,V13), V11 == V13 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #409: mergings( V3 == V4; #407 ), references = 4, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V10,V4), P_add-{F}(V11,V10,V12), P_multiply-{F}(V13,V12,V8), P_pixley-{F}(V11,V9,V13,V14), V14 == V7, P_multiply-{F}(V15,V11,V16), P_add-{F}(V15,V17,V13), P_multiply-{F}(V17,V11,V18) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #412: exists( #8, #409 ), references = 4, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V10,V4), P_add-{F}(V11,V10,V12), P_multiply-{F}(V13,V12,V8), P_pixley-{F}(V11,V9,V13,V14), V14 == V7, P_multiply-{F}(V15,V11,V16), P_add-{F}(V15,V17,V13) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #417: mergings( V3 == V4; #415 ), references = 39, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V4), P_add-{F}(V9,V10,V8), P_multiply-{F}(V11,V9,V12) | P_add-{T}(V11,V8,V7)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #427: exists( #8, #424 ), references = 1, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V9,V8,V8), P_multiply-{F}(V10,V8,V8), P_add-{F}(V9,V10,V11), P_multiply-{F}(V11,V7,V12), P_add-{F}(V7,V7,V13), V12 == V13, P_inverse-{F}(V14,V15), P_multiply-{F}(V14,V15,V4), P_add-{F}(V14,V15,V8) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #463: exists( #8, #461 ), references = 2, size of lhs = 8:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V7,V8,V9), V9 == V8 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #477: mergings( V3 == V4; #475 ), references = 1, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_inverse-{F}(V9,V8), P_pixley-{F}(V7,V9,V10,V11), P_multiply-{F}(V7,V10,V12), P_add-{F}(V11,V11,V13), P_multiply-{F}(V13,V11,V14), V14 == V13, P_multiply-{F}(V15,V10,V12), P_add-{F}(V15,V8,V16), P_multiply-{F}(V10,V16,V8) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #531: mergings( V13 == V15, V22 == V26, V26 == V27, V34 == V35, V8 == V10, V9 == V11, V3 == V4, V4 == V5, V5 == V6; #521 ), references = 1, size of lhs = 30:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_inverse-{F}(V3,V5), P_multiply-{F}(V3,V5,V4), P_add-{F}(V3,V5,V3), P_multiply-{F}(V3,V3,V6), P_inverse-{F}(V7,V6), P_inverse-{F}(V8,V9), P_multiply-{F}(V8,V9,V4), P_add-{F}(V8,V9,V3), P_multiply-{F}(V10,V8,V11), P_multiply-{F}(V10,V3,V12), P_add-{F}(V13,V13,V14), P_multiply-{F}(V14,V13,V15), P_add-{F}(V15,V15,V14), P_multiply-{F}(V10,V16,V14), P_multiply-{F}(V3,V16,V14), P_add-{F}(V17,V17,V14), P_multiply-{F}(V14,V18,V17), P_multiply-{F}(V19,V18,V12), P_add-{F}(V19,V20,V14), P_multiply-{F}(V20,V18,V6), P_multiply-{F}(V3,V18,V21), P_multiply-{F}(V22,V18,V21), P_multiply-{F}(V22,V6,V23), P_multiply-{F}(V24,V16,V23), P_pixley-{F}(V22,V7,V18,V25), V25 == V14 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #617: mergings( V6 == V9, V3 == V4; #614 ), references = 3, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V4,V4), P_pixley-{F}(V3,V1,V5,V6), P_inverse-{F}(V7,V2), P_add-{F}(V3,V8,V6), P_multiply-{F}(V8,V2,V9), P_multiply-{F}(V10,V3,V11), P_pixley-{F}(V3,V7,V12,V13), P_multiply-{F}(V3,V12,V14), P_multiply-{F}(V15,V12,V14), P_add-{F}(V15,V2,V16), P_multiply-{F}(V12,V16,V9), P_multiply-{F}(V10,V17,V18), P_multiply-{F}(V4,V17,V19), P_add-{F}(V18,V19,V20), P_add-{F}(V17,V2,V21), P_multiply-{F}(V6,V21,V22), P_add-{F}(V20,V13,V23), V22 == V23 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #627: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #622 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V3), P_add-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_add-{F}(V7,V8,V4), P_inverse-{F}(V9,V8), P_pixley-{F}(V7,V9,V10,V4), P_multiply-{F}(V7,V10,V11), P_multiply-{F}(V12,V10,V11), P_add-{F}(V12,V8,V13), P_multiply-{F}(V10,V13,V14), P_multiply-{F}(V4,V8,V14), P_add-{F}(V15,V8,V4), P_multiply-{F}(V4,V15,V16), P_multiply-{F}(V17,V7,V18), P_multiply-{F}(V17,V15,V19), P_add-{F}(V19,V16,V20), P_multiply-{F}(V20,V5,V21) | P_add-{T}(V7,V4,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #647: mergings( V3 == V4, V4 == V5, V5 == V6; #643 ), references = 1, size of lhs = 20:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V4,V5,V3), P_add-{F}(V4,V5,V4), P_multiply-{F}(V4,V6,V4), P_add-{F}(V6,V7,V4), P_inverse-{F}(V8,V7), P_multiply-{F}(V4,V7,V9), P_inverse-{F}(V10,V7), P_add-{F}(V10,V7,V4), P_pixley-{F}(V10,V8,V11,V4), P_multiply-{F}(V10,V11,V12), P_multiply-{F}(V13,V11,V12), P_add-{F}(V13,V7,V14), P_multiply-{F}(V11,V14,V9), P_multiply-{F}(V15,V6,V10), P_multiply-{F}(V15,V10,V16) | P_add-{T}(V10,V4,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #694: mergings( V28 == V29, V33 == V34, V8 == V10, V9 == V11, V3 == V4, V4 == V5, V5 == V6; #686 ), references = 1, size of lhs = 34:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_inverse-{F}(V3,V5), P_multiply-{F}(V3,V5,V4), P_add-{F}(V3,V5,V3), P_multiply-{F}(V3,V3,V6), P_inverse-{F}(V7,V6), P_inverse-{F}(V8,V6), P_multiply-{F}(V9,V6,V6), P_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V4), P_add-{F}(V10,V11,V3), P_multiply-{F}(V12,V10,V13), P_multiply-{F}(V12,V3,V14), P_add-{F}(V15,V15,V16), P_multiply-{F}(V16,V15,V17), P_add-{F}(V17,V17,V16), P_multiply-{F}(V18,V19,V6), P_add-{F}(V20,V18,V16), P_multiply-{F}(V20,V19,V14), P_multiply-{F}(V16,V19,V21), P_add-{F}(V21,V21,V22), P_pixley-{F}(V9,V7,V23,V24), P_multiply-{F}(V9,V23,V25), P_multiply-{F}(V3,V23,V25), P_multiply-{F}(V22,V23,V25), P_pixley-{F}(V22,V8,V23,V26), V26 == V24, P_add-{F}(V27,V27,V28), P_multiply-{F}(V12,V27,V29), P_multiply-{F}(V3,V27,V30), P_add-{F}(V29,V30,V16) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #714: exists( #8, #294 ), references = 1, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_add-{F}(V4,V2,V5), P_pixley-{F}(V4,V1,V6,V7), P_pixley-{F}(V4,V3,V6,V8), V8 == V7 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #743: exists( #8, #739 ), references = 2, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V4,V2,V2), P_add-{F}(V3,V4,V5), P_add-{F}(V6,V2,V7), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V10,V8,V9), P_pixley-{F}(V10,V1,V8,V11), P_multiply-{F}(V8,V7,V12), P_add-{F}(V11,V11,V13), P_add-{F}(V10,V14,V5), P_multiply-{F}(V14,V2,V12), P_multiply-{F}(V5,V11,V15), V15 == V13 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #745: mergings( V3 == V4; #742 ), references = 2, size of lhs = 30:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V2), P_add-{F}(V4,V2,V5), P_multiply-{F}(V4,V6,V7), P_multiply-{F}(V8,V6,V7), P_pixley-{F}(V8,V1,V6,V9), P_multiply-{F}(V6,V5,V10), P_multiply-{F}(V11,V2,V10), P_add-{F}(V8,V11,V12), P_add-{F}(V3,V13,V12), P_multiply-{F}(V13,V2,V14), P_inverse-{F}(V15,V14), P_inverse-{F}(V16,V14), P_add-{F}(V16,V14,V17), P_multiply-{F}(V17,V2,V10), P_multiply-{F}(V18,V17,V17), P_pixley-{F}(V16,V15,V18,V19), P_inverse-{F}(V20,V14), P_add-{F}(V16,V21,V19), P_multiply-{F}(V21,V14,V22), P_multiply-{F}(V19,V9,V23), P_multiply-{F}(V8,V16,V24), P_pixley-{F}(V16,V20,V25,V26), P_multiply-{F}(V16,V25,V27), P_multiply-{F}(V28,V25,V27), P_add-{F}(V28,V14,V29), P_multiply-{F}(V25,V29,V22), P_add-{F}(V9,V26,V30), V23 == V30 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #762: mergings( V9 == V18, V3 == V4, V4 == V5; #757 ), references = 1, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V5,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V8), P_multiply-{F}(V7,V8,V3), P_add-{F}(V7,V8,V4), P_multiply-{F}(V4,V7,V9), P_add-{F}(V10,V5,V11), P_multiply-{F}(V12,V11,V5), P_multiply-{F}(V10,V12,V13), P_multiply-{F}(V14,V12,V13), P_pixley-{F}(V14,V6,V12,V4) | P_add-{T}(V14,V4,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #769: mergings( V10 == V12, V12 == V13, V13 == V19, V3 == V4, V4 == V5, V5 == V6; #758 ), references = 1, size of lhs = 24:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V5,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), P_add-{F}(V7,V5,V4), P_inverse-{F}(V8,V5), P_pixley-{F}(V7,V8,V9,V4), P_multiply-{F}(V7,V9,V10), P_multiply-{F}(V11,V9,V10), P_add-{F}(V11,V5,V12), P_multiply-{F}(V9,V12,V5), P_multiply-{F}(V7,V7,V13), P_pixley-{F}(V7,V6,V14,V4), P_multiply-{F}(V7,V14,V15), P_multiply-{F}(V16,V14,V15), P_add-{F}(V16,V5,V17), P_multiply-{F}(V14,V17,V5), P_inverse-{F}(V18,V19), P_multiply-{F}(V18,V19,V3), P_add-{F}(V18,V19,V4), P_multiply-{F}(V4,V18,V20) | P_add-{T}(V7,V4,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #813: mergings( V3 == V4; #809 ), references = 2, size of lhs = 18:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V3,V3,V6), P_pixley-{F}(V3,V1,V7,V8), P_multiply-{F}(V7,V5,V9), P_multiply-{F}(V7,V6,V9), P_add-{F}(V8,V8,V10), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V12,V4), P_add-{F}(V13,V12,V14), P_add-{F}(V9,V13,V14), P_multiply-{F}(V15,V13,V9), P_multiply-{F}(V16,V13,V9), P_add-{F}(V15,V16,V10), P_pixley-{F}(V13,V11,V10,V17), V17 == V8 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #815: mergings( V3 == V4; #810 ), references = 2, size of lhs = 21:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V3,V3,V6), P_pixley-{F}(V3,V1,V7,V8), P_multiply-{F}(V7,V5,V9), P_multiply-{F}(V7,V6,V9), P_add-{F}(V8,V8,V10), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V12,V4), P_add-{F}(V13,V12,V14), P_pixley-{F}(V13,V11,V10,V15), V15 == V8, P_add-{F}(V9,V16,V14), P_multiply-{F}(V17,V16,V9), P_add-{F}(V17,V18,V10), P_multiply-{F}(V18,V16,V9), P_multiply-{F}(V19,V13,V20), P_add-{F}(V19,V21,V10), P_multiply-{F}(V21,V13,V22) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #817: mergings( V3 == V4; #811 ), references = 3, size of lhs = 25:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_add-{F}(V3,V3,V6), P_pixley-{F}(V3,V1,V7,V8), P_multiply-{F}(V7,V5,V9), P_multiply-{F}(V7,V6,V9), P_add-{F}(V8,V8,V10), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V12,V14), P_add-{F}(V13,V12,V15), P_multiply-{F}(V16,V15,V9), P_pixley-{F}(V13,V11,V16,V17), P_multiply-{F}(V18,V19,V9), P_multiply-{F}(V20,V19,V9), P_add-{F}(V18,V20,V10), P_add-{F}(V9,V19,V21), P_inverse-{F}(V22,V23), P_multiply-{F}(V24,V23,V14), P_add-{F}(V24,V23,V21), P_pixley-{F}(V24,V22,V10,V25), V25 == V17, P_multiply-{F}(V26,V24,V27), P_add-{F}(V26,V28,V10) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #856: mergings( V12 == V13, V27 == V28, V7 == V9, V8 == V10, V3 == V4, V4 == V5; #849 ), references = 2, size of lhs = 27:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_inverse-{F}(V3,V5), P_multiply-{F}(V3,V5,V4), P_add-{F}(V3,V5,V3), P_multiply-{F}(V3,V3,V6), P_inverse-{F}(V7,V8), P_multiply-{F}(V7,V8,V4), P_add-{F}(V7,V8,V3), P_multiply-{F}(V9,V7,V10), P_multiply-{F}(V9,V3,V11), P_add-{F}(V11,V6,V12), P_add-{F}(V13,V13,V12), P_multiply-{F}(V12,V13,V14), P_add-{F}(V14,V14,V12), P_add-{F}(V15,V15,V16), P_multiply-{F}(V9,V15,V17), P_multiply-{F}(V3,V15,V18), P_add-{F}(V17,V18,V12), P_multiply-{F}(V12,V19,V20), P_add-{F}(V20,V20,V21), P_multiply-{F}(V3,V19,V22), P_multiply-{F}(V6,V19,V23), P_add-{F}(V22,V23,V24), V21 == V24 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #891: mergings( V23 == V24, V3 == V4; #888 ), references = 1, size of lhs = 24:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V3), P_add-{F}(V5,V6,V4), P_multiply-{F}(V7,V5,V8), P_add-{F}(V9,V9,V10), V4 == V10, P_multiply-{F}(V10,V9,V11), P_add-{F}(V11,V11,V10), P_add-{F}(V12,V12,V10), P_multiply-{F}(V10,V13,V12), P_add-{F}(V14,V14,V15), P_multiply-{F}(V7,V14,V16), P_multiply-{F}(V4,V14,V17), P_add-{F}(V16,V17,V10), P_add-{F}(V14,V18,V4), P_multiply-{F}(V7,V18,V19), P_multiply-{F}(V4,V18,V20), P_multiply-{F}(V21,V13,V19), P_add-{F}(V21,V22,V10), P_multiply-{F}(V22,V13,V20) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #936: exists( #8, #934 ), references = 2, size of lhs = 3:
% 123.92/124.13 P_multiply-{F}(V0,V1,V1), P_add-{F}(V2,V0,V3), P_multiply-{F}(V1,V3,V2) | P_multiply-{T}(V2,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #940: exists( #9, #3 ), references = 1, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V2,V5,V8), P_add-{F}(V7,V8,V9) | P_add-{T}(V4,V9,V6)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1019: mergings( V4 == V6, V6 == V8; #1016 ), references = 4, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V4,V2,V3), P_pixley-{F}(V4,V1,V2,V5), P_multiply-{F}(V2,V5,V3), P_add-{F}(V6,V6,V7), P_multiply-{F}(V8,V6,V2), P_multiply-{F}(V9,V6,V2), P_add-{F}(V8,V9,V10) | P_add-{T}(V2,V2,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1051: mergings( V2 == V3; #1047 ), references = 6, size of lhs = 9:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V2,V1,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V4), P_add-{F}(V5,V5,V6), P_multiply-{F}(V7,V5,V2), P_multiply-{F}(V8,V5,V2), P_add-{F}(V7,V8,V9) | P_multiply-{T}(V2,V2,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1053: mergings( V2 == V3; #1048 ), references = 1, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V2,V1,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V4), P_add-{F}(V5,V5,V6), P_multiply-{F}(V7,V5,V2), P_multiply-{F}(V8,V5,V2), P_add-{F}(V7,V8,V9), P_add-{F}(V10,V10,V11), P_multiply-{F}(V12,V10,V2), P_multiply-{F}(V13,V10,V2), P_add-{F}(V12,V13,V14) | P_multiply-{T}(V2,V2,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1055: mergings( V2 == V3; #1049 ), references = 1, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V2,V1,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V4), P_add-{F}(V5,V5,V6), P_multiply-{F}(V7,V5,V2), P_multiply-{F}(V8,V5,V2), P_add-{F}(V7,V8,V9), P_add-{F}(V10,V10,V11), P_multiply-{F}(V12,V10,V2), P_multiply-{F}(V13,V10,V2), P_add-{F}(V12,V13,V14) | P_multiply-{T}(V2,V2,V4)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1112: mergings( V3 == V4, V4 == V5, V5 == V6; #1106 ), references = 1, size of lhs = 28:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V4), P_add-{F}(V9,V10,V8), P_inverse-{F}(V11,V12), P_pixley-{F}(V12,V11,V12,V12), P_inverse-{F}(V13,V12), P_pixley-{F}(V12,V13,V12,V12), P_inverse-{F}(V14,V12), P_pixley-{F}(V12,V14,V12,V12), P_inverse-{F}(V15,V12), P_pixley-{F}(V12,V15,V12,V16), P_inverse-{F}(V17,V12), P_pixley-{F}(V12,V17,V12,V12), P_multiply-{F}(V18,V8,V12), P_multiply-{F}(V19,V8,V12), P_add-{F}(V18,V19,V20), P_inverse-{F}(V21,V22), P_multiply-{F}(V23,V22,V12), P_add-{F}(V23,V22,V24), P_multiply-{F}(V25,V24,V12), P_pixley-{F}(V23,V21,V25,V26), V16 == V26 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1116: mergings( V3 == V4, V4 == V5, V5 == V6; #1107 ), references = 1, size of lhs = 29:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V4), P_add-{F}(V9,V10,V8), P_inverse-{F}(V11,V12), P_pixley-{F}(V12,V11,V12,V12), P_inverse-{F}(V13,V12), P_pixley-{F}(V12,V13,V12,V12), P_inverse-{F}(V14,V12), P_pixley-{F}(V12,V14,V12,V12), P_inverse-{F}(V15,V12), P_multiply-{F}(V16,V8,V12), P_multiply-{F}(V17,V8,V12), P_add-{F}(V16,V17,V18), P_inverse-{F}(V19,V20), P_multiply-{F}(V21,V20,V12), P_add-{F}(V21,V20,V22), P_pixley-{F}(V21,V19,V23,V24), P_multiply-{F}(V23,V22,V25), P_multiply-{F}(V26,V12,V25), P_pixley-{F}(V12,V15,V26,V27), V27 == V24, P_add-{F}(V28,V12,V26), P_multiply-{F}(V28,V12,V29) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1121: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1108 ), references = 1, size of lhs = 31:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V5,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V6,V4), P_pixley-{F}(V4,V6,V4,V4), P_inverse-{F}(V7,V4), P_pixley-{F}(V4,V7,V4,V4), P_inverse-{F}(V8,V4), P_pixley-{F}(V3,V1,V3,V9), P_multiply-{F}(V9,V4,V10), P_pixley-{F}(V4,V8,V9,V11), P_multiply-{F}(V12,V3,V4), P_multiply-{F}(V13,V3,V4), P_add-{F}(V12,V13,V14), P_inverse-{F}(V3,V15), P_add-{F}(V3,V15,V3), P_multiply-{F}(V3,V15,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V19,V18,V16), P_add-{F}(V19,V18,V20), P_multiply-{F}(V21,V20,V3), P_pixley-{F}(V19,V17,V21,V22), P_inverse-{F}(V23,V24), P_multiply-{F}(V25,V24,V4), P_add-{F}(V25,V24,V26), P_multiply-{F}(V27,V26,V10), P_pixley-{F}(V25,V23,V27,V28), V11 == V28 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1135: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1128 ), references = 1, size of lhs = 26:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V3), P_add-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_pixley-{F}(V8,V7,V8,V8), P_inverse-{F}(V9,V8), P_pixley-{F}(V8,V9,V8,V8), P_inverse-{F}(V10,V8), P_pixley-{F}(V8,V10,V8,V8), P_inverse-{F}(V11,V8), P_pixley-{F}(V8,V11,V8,V12), P_inverse-{F}(V13,V8), P_pixley-{F}(V8,V13,V8,V8), P_multiply-{F}(V14,V4,V8), P_multiply-{F}(V15,V4,V8), P_add-{F}(V14,V15,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V19,V18,V8), P_add-{F}(V19,V18,V20), P_multiply-{F}(V21,V20,V8), P_pixley-{F}(V19,V17,V21,V22), V12 == V22 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1140: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1129 ), references = 1, size of lhs = 27:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V3), P_add-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_pixley-{F}(V8,V7,V8,V8), P_inverse-{F}(V9,V8), P_pixley-{F}(V8,V9,V8,V8), P_inverse-{F}(V10,V8), P_pixley-{F}(V8,V10,V8,V8), P_inverse-{F}(V11,V8), P_multiply-{F}(V12,V4,V8), P_multiply-{F}(V13,V4,V8), P_add-{F}(V12,V13,V14), P_inverse-{F}(V15,V16), P_multiply-{F}(V17,V16,V8), P_add-{F}(V17,V16,V18), P_pixley-{F}(V17,V15,V19,V20), P_multiply-{F}(V19,V18,V21), P_multiply-{F}(V22,V8,V21), P_pixley-{F}(V8,V11,V22,V23), V23 == V20, P_add-{F}(V24,V8,V22), P_multiply-{F}(V24,V8,V25) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1146: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1130 ), references = 1, size of lhs = 29:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V5,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V6,V4), P_pixley-{F}(V4,V6,V4,V4), P_inverse-{F}(V7,V4), P_pixley-{F}(V4,V7,V4,V4), P_inverse-{F}(V8,V4), P_pixley-{F}(V3,V1,V3,V9), P_multiply-{F}(V9,V4,V10), P_pixley-{F}(V4,V8,V9,V11), P_multiply-{F}(V12,V3,V4), P_multiply-{F}(V13,V3,V4), P_add-{F}(V12,V13,V14), P_inverse-{F}(V3,V15), P_add-{F}(V3,V15,V3), P_multiply-{F}(V3,V15,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V17,V18,V16), P_add-{F}(V17,V18,V3), P_inverse-{F}(V19,V20), P_multiply-{F}(V21,V20,V4), P_add-{F}(V21,V20,V22), P_multiply-{F}(V23,V22,V10), P_pixley-{F}(V21,V19,V23,V24), V11 == V24 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1206: mergings( V16 == V17, V7 == V9, V8 == V10, V3 == V4, V4 == V5; #1200 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V3,V5,V3), P_add-{F}(V5,V5,V6), P_multiply-{F}(V3,V3,V7), V7 == V3, P_inverse-{F}(V3,V8), P_multiply-{F}(V3,V8,V4), P_add-{F}(V3,V8,V3), P_add-{F}(V5,V9,V3), P_multiply-{F}(V3,V9,V10), P_add-{F}(V10,V10,V11), P_add-{F}(V9,V9,V11), P_add-{F}(V11,V11,V12), P_multiply-{F}(V11,V11,V13), P_add-{F}(V12,V13,V9), P_inverse-{F}(V14,V15), P_multiply-{F}(V14,V15,V4), P_add-{F}(V14,V15,V3), P_multiply-{F}(V3,V14,V16) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1263: mergings( V3 == V4, V4 == V5; #1260 ), references = 1, size of lhs = 24:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V5,V6), P_pixley-{F}(V3,V1,V7,V6), P_multiply-{F}(V3,V7,V8), P_multiply-{F}(V9,V7,V8), P_add-{F}(V9,V2,V10), P_pixley-{F}(V4,V11,V4,V4), P_inverse-{F}(V11,V6), P_multiply-{F}(V12,V4,V4), P_add-{F}(V12,V4,V13), P_multiply-{F}(V13,V4,V4), P_multiply-{F}(V7,V14,V6), P_add-{F}(V15,V16,V10), P_multiply-{F}(V16,V7,V17), P_multiply-{F}(V18,V7,V17), P_add-{F}(V15,V18,V14), P_add-{F}(V4,V19,V20), P_multiply-{F}(V13,V20,V21), P_multiply-{F}(V19,V13,V22), P_add-{F}(V4,V22,V23), V21 == V23 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1341: mergings( V3 == V4, V4 == V5, V5 == V6; #1336 ), references = 2, size of lhs = 32:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V5,V6), P_pixley-{F}(V3,V1,V7,V6), P_multiply-{F}(V3,V7,V8), P_multiply-{F}(V9,V7,V8), P_add-{F}(V9,V2,V10), P_pixley-{F}(V4,V11,V4,V4), P_inverse-{F}(V11,V6), P_inverse-{F}(V12,V4), P_multiply-{F}(V13,V4,V4), P_add-{F}(V13,V4,V14), P_multiply-{F}(V7,V15,V6), P_add-{F}(V16,V17,V10), P_multiply-{F}(V17,V7,V18), P_multiply-{F}(V19,V7,V18), P_add-{F}(V16,V19,V15), P_inverse-{F}(V20,V21), P_multiply-{F}(V22,V21,V4), P_add-{F}(V22,V21,V23), P_pixley-{F}(V22,V20,V24,V25), P_multiply-{F}(V24,V23,V26), P_add-{F}(V27,V4,V28), P_multiply-{F}(V14,V28,V29), P_multiply-{F}(V27,V14,V29), P_multiply-{F}(V30,V29,V26), P_pixley-{F}(V29,V12,V30,V31), V31 == V25, P_multiply-{F}(V32,V29,V33), P_add-{F}(V32,V34,V30) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1345: mergings( V3 == V4, V4 == V5, V5 == V6; #1337 ), references = 1, size of lhs = 32:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V5,V6), P_pixley-{F}(V3,V1,V7,V6), P_multiply-{F}(V3,V7,V8), P_multiply-{F}(V9,V7,V8), P_add-{F}(V9,V2,V10), P_pixley-{F}(V4,V11,V4,V4), P_inverse-{F}(V11,V6), P_inverse-{F}(V12,V4), P_multiply-{F}(V13,V4,V4), P_add-{F}(V13,V4,V14), P_multiply-{F}(V14,V15,V4), P_inverse-{F}(V16,V15), P_add-{F}(V14,V15,V17), P_multiply-{F}(V7,V18,V6), P_add-{F}(V19,V20,V10), P_multiply-{F}(V20,V7,V21), P_multiply-{F}(V22,V7,V21), P_add-{F}(V19,V22,V18), P_add-{F}(V23,V4,V24), P_multiply-{F}(V14,V24,V25), P_multiply-{F}(V23,V14,V25), P_pixley-{F}(V25,V12,V26,V27), P_multiply-{F}(V26,V25,V28), P_multiply-{F}(V29,V17,V28), P_pixley-{F}(V14,V16,V29,V30), V30 == V27, P_add-{F}(V31,V4,V29), P_multiply-{F}(V31,V14,V32) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1362: mergings( V31 == V33, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1354 ), references = 2, size of lhs = 39:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V3), P_add-{F}(V5,V6,V4), P_multiply-{F}(V7,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V10,V12), P_pixley-{F}(V12,V13,V12,V12), P_inverse-{F}(V13,V14), P_pixley-{F}(V11,V9,V15,V14), P_multiply-{F}(V11,V15,V16), P_multiply-{F}(V17,V15,V16), P_add-{F}(V17,V10,V18), P_pixley-{F}(V12,V19,V12,V12), P_inverse-{F}(V19,V14), P_inverse-{F}(V20,V12), P_multiply-{F}(V21,V12,V12), P_add-{F}(V21,V12,V22), P_multiply-{F}(V7,V15,V23), P_multiply-{F}(V4,V15,V24), P_add-{F}(V23,V24,V14), P_multiply-{F}(V25,V15,V24), P_add-{F}(V26,V25,V18), P_inverse-{F}(V27,V28), P_multiply-{F}(V29,V28,V12), P_add-{F}(V29,V28,V30), P_pixley-{F}(V29,V27,V31,V32), P_multiply-{F}(V31,V30,V33), P_add-{F}(V34,V12,V35), P_multiply-{F}(V22,V35,V36), P_multiply-{F}(V34,V22,V36), P_multiply-{F}(V37,V36,V33), P_pixley-{F}(V36,V20,V37,V38), V38 == V32, P_multiply-{F}(V39,V36,V40), P_add-{F}(V39,V41,V37) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1369: mergings( V31 == V36, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1355 ), references = 1, size of lhs = 39:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V2,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V5,V6,V3), P_add-{F}(V5,V6,V4), P_multiply-{F}(V7,V5,V8), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V10,V12), P_pixley-{F}(V12,V13,V12,V12), P_inverse-{F}(V13,V14), P_pixley-{F}(V11,V9,V15,V14), P_multiply-{F}(V11,V15,V16), P_multiply-{F}(V17,V15,V16), P_add-{F}(V17,V10,V18), P_pixley-{F}(V12,V19,V12,V12), P_inverse-{F}(V19,V14), P_inverse-{F}(V20,V12), P_multiply-{F}(V21,V12,V12), P_add-{F}(V21,V12,V22), P_multiply-{F}(V7,V15,V23), P_multiply-{F}(V4,V15,V24), P_add-{F}(V23,V24,V14), P_multiply-{F}(V25,V15,V24), P_add-{F}(V26,V25,V18), P_multiply-{F}(V22,V27,V12), P_inverse-{F}(V28,V27), P_add-{F}(V22,V27,V29), P_add-{F}(V30,V12,V31), P_multiply-{F}(V22,V31,V32), P_multiply-{F}(V30,V22,V32), P_pixley-{F}(V32,V20,V33,V34), P_multiply-{F}(V33,V32,V35), P_multiply-{F}(V36,V29,V35), P_pixley-{F}(V22,V28,V36,V37), V37 == V34, P_add-{F}(V38,V12,V36), P_multiply-{F}(V38,V22,V39) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1386: mergings( V35 == V36, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1377 ), references = 1, size of lhs = 34:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V3,V5), P_inverse-{F}(V5,V6), P_add-{F}(V3,V6,V3), P_pixley-{F}(V6,V7,V6,V6), P_inverse-{F}(V7,V8), P_pixley-{F}(V6,V9,V6,V6), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V6,V6), P_add-{F}(V10,V6,V3), P_inverse-{F}(V3,V11), P_multiply-{F}(V3,V11,V12), P_add-{F}(V3,V11,V13), P_multiply-{F}(V3,V14,V6), P_add-{F}(V3,V14,V3), P_inverse-{F}(V15,V14), P_pixley-{F}(V3,V15,V3,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V17,V18,V12), P_add-{F}(V17,V18,V13), P_inverse-{F}(V19,V20), P_multiply-{F}(V21,V20,V6), P_pixley-{F}(V21,V19,V22,V8), P_multiply-{F}(V21,V22,V23), P_multiply-{F}(V24,V22,V23), P_add-{F}(V24,V20,V25), P_multiply-{F}(V3,V22,V26), P_multiply-{F}(V13,V22,V27), P_add-{F}(V26,V27,V8), P_multiply-{F}(V28,V22,V27), P_add-{F}(V29,V28,V25) | P_multiply-{T}(V3,V3,V16)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1395: mergings( V33 == V34, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1376 ), references = 1, size of lhs = 35:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V3,V5), P_add-{F}(V5,V6,V5), P_inverse-{F}(V5,V7), P_add-{F}(V3,V7,V3), P_pixley-{F}(V7,V8,V7,V7), P_inverse-{F}(V8,V9), P_pixley-{F}(V7,V10,V7,V7), P_inverse-{F}(V10,V9), P_multiply-{F}(V11,V7,V7), P_add-{F}(V11,V7,V3), P_inverse-{F}(V3,V12), P_multiply-{F}(V3,V12,V13), P_add-{F}(V3,V12,V14), P_inverse-{F}(V15,V16), P_multiply-{F}(V15,V16,V13), P_add-{F}(V15,V16,V14), P_inverse-{F}(V17,V18), P_multiply-{F}(V19,V18,V7), P_pixley-{F}(V19,V17,V20,V9), P_multiply-{F}(V19,V20,V21), P_multiply-{F}(V22,V20,V21), P_add-{F}(V22,V18,V23), P_multiply-{F}(V3,V20,V24), P_multiply-{F}(V14,V20,V25), P_add-{F}(V24,V25,V9), P_multiply-{F}(V26,V20,V25), P_add-{F}(V27,V26,V23), P_inverse-{F}(V28,V29), P_multiply-{F}(V30,V29,V7), P_add-{F}(V30,V29,V3), P_pixley-{F}(V30,V28,V3,V31) | P_multiply-{T}(V3,V3,V31)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1406: mergings( V3 == V4; #1402 ), references = 2, size of lhs = 23:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V8,V9,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V4), P_add-{F}(V9,V10,V8), P_add-{F}(V11,V11,V9), P_multiply-{F}(V9,V7,V12), P_add-{F}(V11,V13,V9), P_inverse-{F}(V14,V13), P_multiply-{F}(V11,V13,V15), P_multiply-{F}(V9,V16,V15), P_add-{F}(V9,V16,V12), P_inverse-{F}(V17,V16), P_pixley-{F}(V11,V14,V18,V19), P_add-{F}(V19,V19,V20), P_add-{F}(V18,V18,V20), P_pixley-{F}(V9,V17,V20,V21), V21 == V19 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1408: mergings( V3 == V4; #1403 ), references = 2, size of lhs = 23:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V8,V9,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V4), P_add-{F}(V9,V10,V8), P_add-{F}(V11,V11,V9), P_multiply-{F}(V9,V7,V12), P_add-{F}(V11,V13,V9), P_inverse-{F}(V14,V13), P_multiply-{F}(V11,V13,V15), P_multiply-{F}(V9,V16,V15), P_add-{F}(V9,V16,V12), P_inverse-{F}(V17,V16), P_pixley-{F}(V11,V14,V18,V19), P_add-{F}(V19,V19,V20), P_add-{F}(V18,V18,V20), P_pixley-{F}(V9,V17,V20,V21), V21 == V19 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1410: mergings( V3 == V4; #1404 ), references = 3, size of lhs = 28:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V8,V9,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V4), P_add-{F}(V9,V10,V8), P_add-{F}(V11,V11,V9), P_multiply-{F}(V9,V7,V12), P_add-{F}(V11,V13,V9), P_inverse-{F}(V14,V13), P_multiply-{F}(V11,V13,V15), P_add-{F}(V9,V16,V12), P_inverse-{F}(V17,V16), P_multiply-{F}(V9,V16,V18), P_pixley-{F}(V11,V14,V19,V20), P_add-{F}(V20,V20,V21), P_add-{F}(V19,V19,V21), P_pixley-{F}(V9,V17,V21,V22), P_add-{F}(V19,V23,V21), P_inverse-{F}(V24,V25), P_multiply-{F}(V26,V25,V18), P_add-{F}(V26,V25,V9), P_pixley-{F}(V26,V24,V19,V27), V22 == V27 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1444: mergings( V17 == V18, V18 == V19, V19 == V20, V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #1426 ), references = 2, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V0,V0,V3,V2), P_multiply-{F}(V0,V3,V4), P_add-{F}(V4,V4,V2), P_multiply-{F}(V5,V3,V4), P_add-{F}(V6,V5,V0), P_pixley-{F}(V0,V0,V7,V8), P_add-{F}(V8,V8,V9), P_add-{F}(V7,V7,V9), P_pixley-{F}(V0,V0,V9,V10), V10 == V8 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1460: mergings( V17 == V18, V18 == V19, V19 == V20, V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #1427 ), references = 2, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V0,V0,V3,V2), P_multiply-{F}(V0,V3,V4), P_add-{F}(V4,V4,V2), P_multiply-{F}(V5,V3,V4), P_add-{F}(V6,V5,V0), P_pixley-{F}(V0,V0,V7,V8), P_add-{F}(V8,V8,V9), P_add-{F}(V7,V7,V9), P_pixley-{F}(V0,V0,V9,V10), V10 == V8 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1477: mergings( V17 == V18, V18 == V19, V19 == V20, V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V24 == V28; #1428 ), references = 2, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V0,V0,V3,V2), P_multiply-{F}(V0,V3,V4), P_add-{F}(V4,V4,V2), P_multiply-{F}(V5,V3,V4), P_add-{F}(V6,V5,V0), P_add-{F}(V7,V7,V8), P_pixley-{F}(V0,V0,V8,V9), P_add-{F}(V7,V10,V8), P_pixley-{F}(V0,V0,V7,V11), V9 == V11, P_add-{F}(V11,V11,V8) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1507: mergings( V19 == V24, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18; #1487 ), references = 1, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_pixley-{F}(V0,V0,V1,V1), P_multiply-{F}(V1,V1,V2), P_pixley-{F}(V0,V0,V2,V2), P_multiply-{F}(V0,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V2), P_inverse-{F}(V4,V2), P_pixley-{F}(V2,V4,V2,V2), P_inverse-{F}(V5,V2), P_pixley-{F}(V2,V5,V2,V2), P_inverse-{F}(V6,V2), P_add-{F}(V7,V2,V0) | P_add-{T}(V1,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1525: mergings( V19 == V24, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18; #1488 ), references = 1, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_pixley-{F}(V0,V0,V1,V1), P_multiply-{F}(V1,V1,V2), P_pixley-{F}(V0,V0,V2,V2), P_multiply-{F}(V0,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V2), P_inverse-{F}(V4,V2), P_pixley-{F}(V2,V4,V2,V2), P_inverse-{F}(V5,V2), P_pixley-{F}(V2,V5,V2,V2), P_inverse-{F}(V6,V2), P_add-{F}(V7,V2,V0) | P_add-{T}(V1,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1544: mergings( V19 == V24, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V0 == V26; #1489 ), references = 1, size of lhs = 14:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_pixley-{F}(V0,V0,V1,V1), P_multiply-{F}(V1,V1,V2), P_pixley-{F}(V0,V0,V2,V2), P_multiply-{F}(V0,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V2), P_inverse-{F}(V4,V2), P_pixley-{F}(V2,V4,V2,V2), P_inverse-{F}(V5,V2), P_pixley-{F}(V2,V5,V2,V2), P_inverse-{F}(V6,V2), P_add-{F}(V7,V2,V0) | P_add-{T}(V1,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1566: exists( #8, #1563 ), references = 1, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V3,V4), P_add-{F}(V4,V4,V5), P_multiply-{F}(V5,V4,V6), P_add-{F}(V6,V4,V7), P_pixley-{F}(V4,V1,V3,V8), P_multiply-{F}(V4,V3,V9), P_multiply-{F}(V4,V8,V10), V10 == V7, P_multiply-{F}(V11,V12,V9), P_multiply-{F}(V13,V12,V4), P_add-{F}(V11,V13,V14), P_add-{F}(V12,V12,V15), P_multiply-{F}(V14,V15,V2) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1587: exists( #8, #1581 ), references = 1, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_add-{F}(V8,V9,V5), P_multiply-{F}(V8,V6,V10), P_multiply-{F}(V9,V6,V11), P_multiply-{F}(V10,V7,V12), P_multiply-{F}(V11,V7,V13), P_add-{F}(V12,V13,V14) | P_multiply-{T}(V6,V5,V14)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1588: exists( #8, #1582 ), references = 1, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_add-{F}(V10,V11,V9), P_multiply-{F}(V10,V5,V12), P_multiply-{F}(V11,V5,V13), P_multiply-{F}(V12,V6,V14), P_multiply-{F}(V13,V6,V15), P_add-{F}(V14,V15,V16) | P_multiply-{T}(V5,V9,V16)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1589: exists( #8, #1583 ), references = 1, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_add-{F}(V10,V11,V9), P_multiply-{F}(V10,V5,V12), P_multiply-{F}(V11,V5,V13), P_multiply-{F}(V12,V6,V14), P_multiply-{F}(V13,V6,V15), P_add-{F}(V14,V15,V16) | P_multiply-{T}(V5,V9,V16)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1604: exists( #8, #1599 ), references = 6, size of lhs = 7:
% 123.92/124.13 P_add-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V3,V5), P_add-{F}(V0,V6,V7), P_multiply-{F}(V3,V7,V8), V8 == V4 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1609: mergings( V3 == V4; #1607 ), references = 4, size of lhs = 20:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V2,V9), P_multiply-{F}(V5,V9,V10), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V12,V4), P_pixley-{F}(V13,V11,V14,V15), P_multiply-{F}(V13,V14,V16), P_multiply-{F}(V17,V14,V16), P_add-{F}(V17,V12,V18), P_multiply-{F}(V14,V18,V19), P_multiply-{F}(V20,V6,V21), P_multiply-{F}(V10,V20,V22), P_multiply-{F}(V19,V20,V22), P_multiply-{F}(V20,V15,V23), V23 == V21 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1620: exists( #8, #1616 ), references = 3, size of lhs = 13:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V3,V5), P_add-{F}(V5,V5,V6), P_multiply-{F}(V6,V5,V7), P_add-{F}(V3,V3,V8), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V10,V6,V9), P_add-{F}(V4,V10,V11), P_multiply-{F}(V6,V11,V12), V7 == V12 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1622: mergings( V2 == V3; #1619 ), references = 2, size of lhs = 23:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V3,V1,V3,V5), P_add-{F}(V5,V5,V6), P_add-{F}(V3,V3,V7), P_multiply-{F}(V3,V7,V8), P_multiply-{F}(V9,V6,V8), P_add-{F}(V3,V10,V3), P_inverse-{F}(V11,V10), P_multiply-{F}(V3,V10,V12), P_pixley-{F}(V3,V11,V3,V13), P_multiply-{F}(V6,V13,V14), P_inverse-{F}(V15,V16), P_multiply-{F}(V17,V16,V12), P_pixley-{F}(V17,V15,V18,V19), P_multiply-{F}(V17,V18,V20), P_multiply-{F}(V21,V18,V20), P_add-{F}(V21,V16,V22), P_multiply-{F}(V18,V22,V9), P_multiply-{F}(V6,V19,V23), V14 == V23 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1640: exists( #9, #856 ), references = 1, size of lhs = 25:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_inverse-{F}(V3,V5), P_multiply-{F}(V3,V5,V4), P_add-{F}(V3,V5,V3), P_multiply-{F}(V3,V3,V6), P_inverse-{F}(V7,V8), P_multiply-{F}(V7,V8,V4), P_add-{F}(V7,V8,V3), P_multiply-{F}(V9,V7,V10), P_multiply-{F}(V9,V3,V11), P_add-{F}(V11,V6,V12), P_add-{F}(V13,V13,V12), P_multiply-{F}(V12,V13,V14), P_add-{F}(V14,V14,V12), P_add-{F}(V15,V15,V16), P_multiply-{F}(V9,V15,V17), P_multiply-{F}(V3,V15,V18), P_add-{F}(V17,V18,V12), P_multiply-{F}(V12,V19,V20), P_add-{F}(V20,V20,V21), P_multiply-{F}(V3,V19,V22), P_multiply-{F}(V6,V19,V23) | P_add-{T}(V22,V23,V21)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1693: mergings( V17 == V18, V10 == V13; #1688 ), references = 1, size of lhs = 19:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_add-{F}(V8,V8,V9), P_add-{F}(V7,V7,V9), P_add-{F}(V10,V10,V9), P_multiply-{F}(V9,V10,V11), P_add-{F}(V11,V11,V9), P_add-{F}(V4,V9,V12), P_multiply-{F}(V9,V7,V13), V13 == V12, P_add-{F}(V14,V14,V9), P_multiply-{F}(V9,V15,V14), P_multiply-{F}(V16,V15,V12), P_add-{F}(V17,V16,V9), P_multiply-{F}(V17,V15,V18) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1697: mergings( V23 == V24, V11 == V14, V3 == V4; #1689 ), references = 2, size of lhs = 23:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_add-{F}(V8,V8,V9), P_add-{F}(V10,V10,V9), P_multiply-{F}(V9,V10,V11), P_add-{F}(V11,V11,V9), P_add-{F}(V7,V7,V12), P_multiply-{F}(V12,V7,V13), P_add-{F}(V14,V14,V12), P_multiply-{F}(V9,V15,V14), P_multiply-{F}(V16,V12,V9), V16 == V13, P_pixley-{F}(V16,V17,V16,V16), P_inverse-{F}(V17,V18), P_add-{F}(V16,V18,V16), P_multiply-{F}(V16,V18,V4), P_multiply-{F}(V19,V15,V16), P_multiply-{F}(V20,V15,V16), P_add-{F}(V19,V20,V9) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1701: mergings( V26 == V27, V11 == V14, V3 == V4; #1690 ), references = 1, size of lhs = 31:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_pixley-{F}(V3,V1,V6,V7), P_multiply-{F}(V6,V5,V8), P_add-{F}(V8,V8,V9), P_add-{F}(V7,V7,V9), P_add-{F}(V10,V10,V9), P_multiply-{F}(V9,V10,V11), P_add-{F}(V11,V11,V9), P_add-{F}(V12,V12,V9), P_multiply-{F}(V9,V13,V12), P_multiply-{F}(V14,V9,V9), V14 == V9, P_multiply-{F}(V15,V13,V14), P_add-{F}(V16,V15,V9), P_multiply-{F}(V16,V13,V17), P_inverse-{F}(V18,V19), P_pixley-{F}(V20,V18,V9,V9), P_multiply-{F}(V20,V19,V21), P_multiply-{F}(V20,V9,V22), P_multiply-{F}(V23,V9,V22), P_add-{F}(V23,V19,V14), P_inverse-{F}(V24,V25), P_multiply-{F}(V26,V25,V21), P_pixley-{F}(V26,V24,V27,V14), P_multiply-{F}(V26,V27,V28), P_multiply-{F}(V29,V27,V28), P_add-{F}(V29,V25,V30), P_multiply-{F}(V27,V30,V9) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1779: mergings( V7 == V9, V8 == V10, V3 == V4, V4 == V5; #1772 ), references = 9, size of lhs = 17:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_pixley-{F}(V3,V5,V3,V3), P_inverse-{F}(V5,V6), P_add-{F}(V3,V6,V3), P_multiply-{F}(V3,V6,V4), P_inverse-{F}(V7,V8), P_multiply-{F}(V7,V8,V4), P_add-{F}(V7,V8,V3), P_multiply-{F}(V3,V7,V9), P_add-{F}(V10,V10,V11), P_multiply-{F}(V12,V10,V3), P_multiply-{F}(V13,V10,V3), P_add-{F}(V12,V13,V14), #-{F} V15 | P_add-{T}(V15,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1784: mergings( V8 == V11, V9 == V12, V3 == V4, V4 == V5; #1773 ), references = 1, size of lhs = 21:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V3,V1,V3,V3), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V3,V5), P_add-{F}(V3,V5,V3), P_multiply-{F}(V3,V5,V6), P_pixley-{F}(V3,V7,V3,V3), P_inverse-{F}(V7,V8), P_add-{F}(V3,V8,V3), P_multiply-{F}(V3,V8,V6), P_inverse-{F}(V9,V10), P_multiply-{F}(V9,V10,V6), P_add-{F}(V9,V10,V3), P_multiply-{F}(V3,V9,V11), P_add-{F}(V12,V12,V13), P_multiply-{F}(V14,V12,V3), P_multiply-{F}(V15,V12,V3), P_add-{F}(V14,V15,V16), #-{F} V17 | P_add-{T}(V17,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1791: mergings( V6 == V8, V7 == V9, V2 == V3, V3 == V4; #1786 ), references = 1, size of lhs = 15:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V2,V4), P_pixley-{F}(V3,V5,V3,V3), P_inverse-{F}(V5,V6), P_add-{F}(V3,V6,V3), P_multiply-{F}(V3,V6,V4), P_inverse-{F}(V3,V7), P_multiply-{F}(V3,V7,V4), P_add-{F}(V3,V7,V3), P_add-{F}(V8,V8,V9), P_multiply-{F}(V10,V8,V3), P_multiply-{F}(V11,V8,V3), P_add-{F}(V10,V11,V12) | P_multiply-{T}(V3,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1812: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1804 ), references = 2, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V0), P_multiply-{F}(V4,V1,V0), P_add-{F}(V3,V4,V5), P_pixley-{F}(V0,V0,V6,V7), P_add-{F}(V7,V7,V8), P_add-{F}(V6,V6,V8), P_pixley-{F}(V0,V0,V8,V9), V9 == V7 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1818: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1805 ), references = 1, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V0), P_multiply-{F}(V4,V1,V0), P_add-{F}(V3,V4,V5), P_pixley-{F}(V0,V0,V6,V7), P_add-{F}(V7,V7,V8), P_add-{F}(V6,V6,V8), P_pixley-{F}(V0,V0,V8,V9), V9 == V7 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1825: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V13 == V17; #1806 ), references = 1, size of lhs = 12:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V0), P_multiply-{F}(V4,V1,V0), P_add-{F}(V3,V4,V5), P_add-{F}(V6,V6,V7), P_pixley-{F}(V0,V0,V7,V8), P_add-{F}(V6,V9,V7), P_pixley-{F}(V0,V0,V6,V10), V8 == V10, P_add-{F}(V10,V10,V7) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1838: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1829 ), references = 2, size of lhs = 4:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_pixley-{F}(V0,V0,V1,V1), P_multiply-{F}(V1,V1,V0) | P_add-{T}(V1,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1896: mergings( V15 == V16, V12 == V13, V11 == V14, V3 == V4, V4 == V5; #1888 ), references = 1, size of lhs = 18:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V3,V2), P_add-{F}(V4,V4,V2), P_multiply-{F}(V5,V5,V4), V5 == V2, P_inverse-{F}(V5,V6), P_add-{F}(V5,V6,V5), P_multiply-{F}(V5,V6,V7), P_add-{F}(V7,V8,V5), P_multiply-{F}(V5,V8,V9), P_add-{F}(V10,V9,V2), P_multiply-{F}(V11,V8,V10), P_inverse-{F}(V12,V13), P_multiply-{F}(V12,V13,V7), P_add-{F}(V12,V13,V5), P_multiply-{F}(V5,V12,V14) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1903: mergings( V13 == V14, V9 == V12, V10 == V11, V3 == V4, V4 == V5, V5 == V6; #1889 ), references = 1, size of lhs = 18:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V3,V1,V3,V3), P_add-{F}(V3,V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V3,V5), P_multiply-{F}(V3,V5,V4), P_add-{F}(V3,V5,V3), P_multiply-{F}(V3,V3,V6), P_add-{F}(V6,V6,V7), V3 == V7, P_add-{F}(V8,V8,V7), P_multiply-{F}(V7,V8,V9), P_add-{F}(V9,V9,V7), P_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V4), P_add-{F}(V10,V11,V3), P_multiply-{F}(V3,V10,V12) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #1909: mergings( V15 == V16, V12 == V13, V11 == V14, V3 == V4, V4 == V5; #1890 ), references = 1, size of lhs = 24:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V3,V2), P_add-{F}(V4,V4,V2), P_multiply-{F}(V5,V5,V4), V5 == V2, P_inverse-{F}(V5,V6), P_add-{F}(V5,V6,V5), P_multiply-{F}(V5,V6,V7), P_inverse-{F}(V8,V9), P_multiply-{F}(V8,V9,V7), P_add-{F}(V8,V9,V5), P_multiply-{F}(V5,V8,V10), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V12,V7), P_pixley-{F}(V13,V11,V14,V5), P_multiply-{F}(V13,V14,V15), P_multiply-{F}(V16,V14,V15), P_add-{F}(V16,V12,V17), P_multiply-{F}(V14,V17,V18), P_multiply-{F}(V5,V18,V19), P_add-{F}(V20,V19,V2), P_multiply-{F}(V21,V18,V20) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2027: mergings( V2 == V3; #2023 ), references = 1, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V2,V1,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V2), P_inverse-{F}(V4,V2), P_pixley-{F}(V2,V4,V2,V2), P_multiply-{F}(V5,V2,V2), P_multiply-{F}(V6,V2,V2), P_add-{F}(V5,V6,V7) | P_add-{T}(V2,V2,V2)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2029: mergings( V2 == V3; #2024 ), references = 1, size of lhs = 10:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_pixley-{F}(V2,V1,V2,V2), P_inverse-{F}(V3,V2), P_pixley-{F}(V2,V3,V2,V2), P_inverse-{F}(V4,V2), P_pixley-{F}(V2,V4,V2,V2), P_multiply-{F}(V5,V2,V2), P_multiply-{F}(V6,V2,V2), P_add-{F}(V5,V6,V7) | P_add-{T}(V2,V2,V2)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2052: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2045 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V0,V1,V3), P_pixley-{F}(V0,V0,V3,V3), P_multiply-{F}(V0,V4,V4), P_pixley-{F}(V0,V0,V4,V4), P_multiply-{F}(V3,V4,V4), P_inverse-{F}(V5,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V6,V4), P_pixley-{F}(V4,V6,V4,V4), P_inverse-{F}(V7,V4), P_pixley-{F}(V4,V7,V4,V4), P_inverse-{F}(V8,V4), P_add-{F}(V9,V4,V0), P_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V2), P_add-{F}(V10,V11,V3), P_multiply-{F}(V3,V10,V12), #-{F} V13 | P_add-{T}(V13,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2057: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2046 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V0,V1,V3), P_pixley-{F}(V0,V0,V3,V3), P_multiply-{F}(V0,V4,V4), P_pixley-{F}(V0,V0,V4,V4), P_multiply-{F}(V3,V4,V4), P_inverse-{F}(V5,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V6,V4), P_pixley-{F}(V4,V6,V4,V4), P_inverse-{F}(V7,V4), P_pixley-{F}(V4,V7,V4,V4), P_inverse-{F}(V8,V4), P_add-{F}(V9,V4,V0), P_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V2), P_add-{F}(V10,V11,V3), P_multiply-{F}(V3,V10,V12), #-{F} V13 | P_add-{T}(V13,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2062: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2047 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V0,V1,V3), P_pixley-{F}(V0,V0,V3,V3), P_multiply-{F}(V0,V4,V4), P_pixley-{F}(V0,V0,V4,V4), P_multiply-{F}(V3,V4,V4), P_inverse-{F}(V5,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V6,V4), P_pixley-{F}(V4,V6,V4,V4), P_inverse-{F}(V7,V4), P_pixley-{F}(V4,V7,V4,V4), P_inverse-{F}(V8,V4), P_add-{F}(V9,V4,V0), P_inverse-{F}(V10,V11), P_multiply-{F}(V10,V11,V2), P_add-{F}(V10,V11,V3), P_multiply-{F}(V3,V10,V12), #-{F} V13 | P_add-{T}(V13,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2069: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2064 ), references = 1, size of lhs = 20:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V0,V1,V3), P_pixley-{F}(V0,V0,V3,V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V3,V4,V2), P_add-{F}(V3,V4,V3), P_multiply-{F}(V0,V5,V5), P_pixley-{F}(V0,V0,V5,V5), P_multiply-{F}(V3,V5,V5), P_inverse-{F}(V6,V5), P_pixley-{F}(V5,V6,V5,V5), P_inverse-{F}(V7,V5), P_pixley-{F}(V5,V7,V5,V5), P_inverse-{F}(V8,V5), P_pixley-{F}(V5,V8,V5,V5), P_inverse-{F}(V9,V5), P_add-{F}(V10,V5,V0) | P_multiply-{T}(V3,V3,V3)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2097: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0; #2088 ), references = 2, size of lhs = 7:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_pixley-{F}(V0,V0,V1,V2), P_add-{F}(V2,V2,V3), P_add-{F}(V1,V1,V3), P_pixley-{F}(V0,V0,V3,V4), V4 == V2 | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2101: mergings( V2 == V3; #2099 ), references = 19, size of lhs = 3:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_pixley-{F}(V0,V0,V1,V1) | P_add-{T}(V1,V1,V1)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2126: mergings( V3 == V4, V4 == V5, V5 == V6; #2121 ), references = 8, size of lhs = 26:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_pixley-{F}(V4,V5,V4,V4), P_inverse-{F}(V5,V6), P_pixley-{F}(V3,V1,V7,V6), P_multiply-{F}(V3,V7,V8), P_multiply-{F}(V9,V7,V8), P_add-{F}(V9,V2,V10), P_pixley-{F}(V4,V11,V4,V4), P_inverse-{F}(V11,V6), P_inverse-{F}(V12,V4), P_multiply-{F}(V13,V4,V4), P_add-{F}(V13,V4,V14), P_multiply-{F}(V7,V15,V6), P_add-{F}(V16,V16,V17), P_add-{F}(V16,V4,V17), P_add-{F}(V18,V19,V10), P_multiply-{F}(V19,V7,V20), P_multiply-{F}(V21,V7,V20), P_add-{F}(V18,V21,V15), P_inverse-{F}(V22,V23), P_multiply-{F}(V24,V23,V4), P_add-{F}(V24,V23,V14), P_pixley-{F}(V24,V22,V16,V25) | P_multiply-{T}(V16,V14,V25)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2130: mergings( V3 == V4, V4 == V5, V5 == V6; #2122 ), references = 1, size of lhs = 34:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), P_inverse-{F}(V2,V4), P_add-{F}(V2,V4,V3), P_add-{F}(V1,V1,V4), P_add-{F}(V1,V5,V4), P_pixley-{F}(V5,V6,V5,V5), P_inverse-{F}(V6,V7), P_pixley-{F}(V5,V8,V5,V5), P_inverse-{F}(V8,V7), P_inverse-{F}(V9,V5), P_multiply-{F}(V10,V5,V5), P_add-{F}(V10,V5,V2), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V12,V5), P_pixley-{F}(V13,V11,V14,V7), P_multiply-{F}(V13,V14,V15), P_multiply-{F}(V16,V14,V15), P_add-{F}(V16,V12,V17), P_multiply-{F}(V3,V14,V18), P_multiply-{F}(V19,V14,V18), P_add-{F}(V20,V18,V7), P_multiply-{F}(V21,V14,V20), P_multiply-{F}(V21,V2,V22), P_multiply-{F}(V23,V24,V19), P_multiply-{F}(V24,V25,V17), P_add-{F}(V26,V23,V25), P_multiply-{F}(V26,V24,V27), P_inverse-{F}(V28,V29), P_multiply-{F}(V30,V29,V5), P_add-{F}(V30,V29,V2), P_pixley-{F}(V30,V28,V1,V31) | P_multiply-{T}(V1,V2,V31)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2185: mergings( V12 == V18, V11 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #2173 ), references = 12, size of lhs = 56:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V2,V2,V2), P_pixley-{F}(V2,V3,V2,V2), P_inverse-{F}(V3,V4), P_pixley-{F}(V2,V5,V2,V2), P_inverse-{F}(V5,V4), P_inverse-{F}(V6,V2), P_multiply-{F}(V2,V2,V7), P_add-{F}(V0,V2,V8), P_add-{F}(V0,V0,V8), P_add-{F}(V0,V1,V8), P_add-{F}(V7,V9,V2), P_pixley-{F}(V2,V10,V2,V9), P_add-{F}(V2,V10,V11), P_multiply-{F}(V12,V0,V11), P_pixley-{F}(V0,V10,V12,V13), P_multiply-{F}(V0,V12,V14), P_multiply-{F}(V10,V12,V14), P_add-{F}(V10,V10,V15), P_add-{F}(V10,V2,V15), P_pixley-{F}(V2,V10,V10,V16), P_add-{F}(V2,V16,V17), P_inverse-{F}(V13,V18), P_multiply-{F}(V13,V18,V16), P_add-{F}(V13,V18,V19), P_multiply-{F}(V19,V13,V13), P_multiply-{F}(V20,V0,V19), P_pixley-{F}(V10,V10,V20,V21), P_add-{F}(V22,V22,V13), P_multiply-{F}(V13,V21,V23), P_inverse-{F}(V24,V11), P_add-{F}(V24,V24,V25), P_add-{F}(V24,V26,V25), P_add-{F}(V22,V27,V13), P_inverse-{F}(V28,V27), P_multiply-{F}(V22,V27,V29), P_pixley-{F}(V22,V28,V24,V30), P_add-{F}(V30,V30,V25), P_add-{F}(V13,V31,V23), P_multiply-{F}(V13,V31,V17), P_inverse-{F}(V32,V31), P_pixley-{F}(V13,V32,V25,V33), P_inverse-{F}(V34,V35), P_multiply-{F}(V36,V35,V2), P_pixley-{F}(V36,V34,V37,V4), P_multiply-{F}(V36,V37,V38), P_multiply-{F}(V39,V37,V38), P_add-{F}(V39,V35,V40), P_multiply-{F}(V37,V41,V4), P_add-{F}(V42,V43,V40), P_multiply-{F}(V43,V37,V44), P_multiply-{F}(V45,V37,V44), P_add-{F}(V42,V45,V41) | P_inverse-{T}(V10,V33)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2247: mergings( V0 == V43, V28 == V30, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V43, V43 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V42, V27 == V41, V41 == V37; #2216 ), references = 1, size of lhs = 36:
% 123.92/124.13 P_b-{F}(V0), P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_a-{F}(V1), P_pixley-{F}(V0,V0,V1,V1), P_add-{F}(V1,V1,V1), P_multiply-{F}(V1,V1,V2), P_add-{F}(V2,V1,V1), P_multiply-{F}(V3,V1,V2), P_inverse-{F}(V1,V4), P_add-{F}(V4,V4,V4), P_multiply-{F}(V0,V4,V4), P_multiply-{F}(V4,V0,V4), P_multiply-{F}(V5,V0,V4), P_pixley-{F}(V0,V4,V5,V0), P_multiply-{F}(V0,V5,V6), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V7,V0,V0), P_pixley-{F}(V4,V4,V7,V8), P_multiply-{F}(V0,V8,V0), P_inverse-{F}(V9,V4), P_add-{F}(V9,V9,V1), P_pixley-{F}(V0,V0,V9,V1), P_add-{F}(V9,V10,V1), P_inverse-{F}(V11,V4), P_multiply-{F}(V12,V0,V0), P_multiply-{F}(V0,V12,V0), P_pixley-{F}(V0,V0,V13,V4), P_multiply-{F}(V13,V0,V4), P_multiply-{F}(V0,V13,V14), P_add-{F}(V15,V15,V16), P_multiply-{F}(V17,V15,V0), P_multiply-{F}(V18,V15,V0), P_add-{F}(V17,V18,V19) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2290: mergings( V25 == V40, V31 == V33, V0 == V35, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V40, V40 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V39, V35 == V38; #2256 ), references = 2, size of lhs = 20:
% 123.92/124.13 P_b-{F}(V0), P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_a-{F}(V1), P_pixley-{F}(V0,V0,V1,V1), P_add-{F}(V1,V1,V1), P_multiply-{F}(V1,V1,V2), P_add-{F}(V2,V1,V1), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V0,V0), P_multiply-{F}(V0,V4,V0), P_add-{F}(V1,V5,V1), P_multiply-{F}(V6,V0,V0), P_multiply-{F}(V0,V6,V0), P_add-{F}(V7,V7,V8), P_multiply-{F}(V9,V7,V0), P_multiply-{F}(V10,V7,V0), P_add-{F}(V9,V10,V11) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2296: mergings( V1 == V2; #2294 ), references = 1, size of lhs = 13:
% 123.92/124.13 P_b-{F}(V0), P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V0,V1,V0), P_multiply-{F}(V2,V0,V0), P_multiply-{F}(V0,V2,V0), P_add-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V0), P_multiply-{F}(V6,V3,V0), P_add-{F}(V5,V6,V7) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2337: mergings( V10 == V29, V15 == V26, V18 == V21, V11 == V19, V13 == V31, V31 == V39, V12 == V32, V19 == V33, V26 == V33, V32 == V40, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V33, V33 == V20, V20 == V23, V23 == V24; #2316 ), references = 2, size of lhs = 64:
% 123.92/124.13 P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V1), P_n1-{F}(V2), P_add-{F}(V2,V0,V2), P_add-{F}(V2,V2,V2), P_pixley-{F}(V2,V2,V2,V2), P_multiply-{F}(V2,V2,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_b-{F}(V5), P_a-{F}(V5), P_inverse-{F}(V6,V2), P_inverse-{F}(V7,V2), P_pixley-{F}(V0,V5,V0,V8), P_add-{F}(V1,V8,V9), P_pixley-{F}(V9,V3,V9,V9), P_pixley-{F}(V9,V4,V9,V9), P_add-{F}(V2,V9,V2), P_pixley-{F}(V9,V6,V9,V9), P_pixley-{F}(V9,V7,V9,V9), P_multiply-{F}(V9,V0,V1), P_add-{F}(V9,V9,V9), P_inverse-{F}(V10,V9), P_multiply-{F}(V9,V9,V11), P_add-{F}(V11,V9,V9), P_multiply-{F}(V12,V9,V11), P_inverse-{F}(V13,V9), P_multiply-{F}(V14,V2,V2), P_add-{F}(V15,V15,V2), P_multiply-{F}(V2,V14,V16), P_add-{F}(V5,V5,V17), P_add-{F}(V5,V18,V17), P_inverse-{F}(V2,V19), P_multiply-{F}(V2,V19,V9), P_add-{F}(V2,V19,V2), P_add-{F}(V15,V20,V2), P_inverse-{F}(V21,V20), P_multiply-{F}(V15,V20,V22), P_pixley-{F}(V15,V21,V5,V23), P_add-{F}(V23,V23,V17), P_add-{F}(V2,V24,V16), P_multiply-{F}(V2,V24,V9), P_inverse-{F}(V25,V24), P_pixley-{F}(V2,V25,V17,V26), P_add-{F}(V12,V26,V26), P_add-{F}(V9,V26,V5), P_add-{F}(V27,V26,V26), P_multiply-{F}(V27,V9,V28), P_add-{F}(V28,V9,V9), P_multiply-{F}(V29,V26,V26), P_add-{F}(V29,V9,V30), P_multiply-{F}(V26,V30,V5), P_inverse-{F}(V31,V32), P_multiply-{F}(V33,V32,V9), P_pixley-{F}(V33,V31,V2,V2), P_multiply-{F}(V33,V2,V34), P_multiply-{F}(V35,V2,V34), P_add-{F}(V35,V32,V2), P_inverse-{F}(V36,V37), P_multiply-{F}(V38,V37,V9), P_pixley-{F}(V38,V36,V2,V2), P_multiply-{F}(V38,V2,V39), P_multiply-{F}(V40,V2,V39), P_add-{F}(V40,V37,V2) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2402: mergings( V0 == V28, V16 == V23, V28 == V21, V15 == V19, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V21, V19 == V25, V21 == V24; #2382 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_a-{F}(V1), P_pixley-{F}(V0,V0,V1,V1), P_add-{F}(V1,V1,V1), P_multiply-{F}(V1,V1,V2), P_add-{F}(V2,V1,V1), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V0,V3,V0), P_add-{F}(V1,V4,V1), P_add-{F}(V0,V5,V0), P_multiply-{F}(V6,V1,V2), P_pixley-{F}(V0,V0,V7,V0), P_multiply-{F}(V7,V0,V0), P_multiply-{F}(V0,V7,V8), P_add-{F}(V9,V9,V10), P_multiply-{F}(V11,V9,V0), P_multiply-{F}(V12,V9,V0), P_add-{F}(V11,V12,V13) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2474: mergings( V0 == V50, V26 == V34, V43 == V47, V50 == V38, V42 == V45, V34 == V25, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V38, V38 == V22, V22 == V23, V23 == V24, V24 == V40, V45 == V41, V31 == V41; #2441 ), references = 2, size of lhs = 49:
% 123.92/124.13 P_a-{F}(V0), P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_add-{F}(V1,V1,V1), P_multiply-{F}(V0,V1,V1), P_multiply-{F}(V1,V0,V1), P_multiply-{F}(V1,V1,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V0,V1), P_pixley-{F}(V0,V1,V3,V0), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V4), P_inverse-{F}(V5,V1), P_add-{F}(V5,V5,V6), P_pixley-{F}(V0,V0,V5,V6), P_pixley-{F}(V0,V0,V6,V6), P_inverse-{F}(V6,V1), P_add-{F}(V6,V6,V6), P_add-{F}(V5,V7,V6), P_inverse-{F}(V8,V1), P_multiply-{F}(V9,V0,V0), P_pixley-{F}(V1,V1,V9,V10), P_multiply-{F}(V0,V10,V0), P_multiply-{F}(V11,V0,V0), P_multiply-{F}(V0,V11,V0), P_add-{F}(V0,V12,V0), P_multiply-{F}(V6,V6,V13), P_add-{F}(V13,V6,V6), P_multiply-{F}(V14,V6,V6), P_multiply-{F}(V15,V6,V13), P_pixley-{F}(V0,V16,V6,V0), P_inverse-{F}(V16,V17), P_multiply-{F}(V0,V17,V1), P_add-{F}(V14,V17,V0), P_pixley-{F}(V0,V0,V18,V1), P_multiply-{F}(V18,V0,V1), P_multiply-{F}(V0,V18,V19), P_multiply-{F}(V20,V1,V1), P_multiply-{F}(V21,V0,V20), P_pixley-{F}(V0,V0,V21,V22), P_multiply-{F}(V1,V22,V1), P_multiply-{F}(V0,V21,V23), P_add-{F}(V24,V24,V25), P_multiply-{F}(V26,V24,V0), P_multiply-{F}(V27,V24,V0), P_add-{F}(V26,V27,V28) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2519: mergings( V12 == V28, V13 == V18, V15 == V29, V31 == V18, V14 == V33, V18 == V34, V33 == V42, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V34; #2502 ), references = 1, size of lhs = 69:
% 123.92/124.13 P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V1), P_a-{F}(V2), P_n1-{F}(V2), P_pixley-{F}(V2,V2,V2,V2), P_add-{F}(V2,V0,V2), P_add-{F}(V2,V2,V2), P_multiply-{F}(V2,V2,V2), P_b-{F}(V3), P_add-{F}(V3,V3,V3), P_multiply-{F}(V3,V2,V3), P_multiply-{F}(V3,V3,V3), P_multiply-{F}(V2,V3,V3), P_multiply-{F}(V4,V2,V3), P_pixley-{F}(V2,V3,V4,V2), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V6,V2,V2), P_pixley-{F}(V3,V3,V6,V7), P_multiply-{F}(V2,V7,V2), P_multiply-{F}(V8,V2,V2), P_multiply-{F}(V2,V8,V2), P_add-{F}(V2,V9,V2), P_pixley-{F}(V2,V2,V10,V3), P_multiply-{F}(V10,V2,V3), P_multiply-{F}(V2,V10,V11), P_inverse-{F}(V0,V12), P_add-{F}(V0,V12,V2), P_multiply-{F}(V0,V12,V13), P_add-{F}(V2,V13,V2), P_multiply-{F}(V13,V0,V1), P_add-{F}(V13,V13,V13), P_pixley-{F}(V13,V14,V13,V13), P_inverse-{F}(V15,V13), P_multiply-{F}(V13,V13,V16), P_add-{F}(V16,V13,V13), P_pixley-{F}(V0,V14,V0,V17), P_add-{F}(V1,V17,V13), P_multiply-{F}(V18,V2,V2), P_add-{F}(V19,V19,V2), P_multiply-{F}(V2,V18,V20), P_add-{F}(V14,V14,V21), P_add-{F}(V14,V22,V21), P_pixley-{F}(V2,V23,V21,V3), P_inverse-{F}(V23,V24), P_add-{F}(V2,V24,V20), P_multiply-{F}(V2,V24,V13), P_inverse-{F}(V2,V25), P_multiply-{F}(V2,V25,V13), P_add-{F}(V2,V25,V2), P_pixley-{F}(V2,V14,V26,V2), P_multiply-{F}(V26,V2,V3), P_multiply-{F}(V2,V26,V27), P_multiply-{F}(V14,V26,V27), P_add-{F}(V28,V2,V2), P_multiply-{F}(V29,V3,V3), P_multiply-{F}(V30,V2,V29), P_pixley-{F}(V2,V2,V30,V31), P_multiply-{F}(V3,V31,V3), P_multiply-{F}(V2,V30,V32), P_add-{F}(V19,V33,V2), P_inverse-{F}(V34,V33), P_multiply-{F}(V19,V33,V35), P_pixley-{F}(V19,V34,V14,V36), P_add-{F}(V36,V36,V21), P_add-{F}(V37,V37,V38), P_multiply-{F}(V39,V37,V2), P_multiply-{F}(V40,V37,V2), P_add-{F}(V39,V40,V41) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2569: mergings( V0 == V45, V26 == V28, V28 == V30, V45 == V24, V24 == V39, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V39, V39 == V41, V30 == V40, V40 == V42, V42 == V36; #2538 ), references = 1, size of lhs = 39:
% 123.92/124.13 P_a-{F}(V0), P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V0,V1,V0), P_add-{F}(V0,V2,V0), P_b-{F}(V3), P_pixley-{F}(V0,V3,V3,V0), P_pixley-{F}(V0,V0,V3,V3), P_multiply-{F}(V3,V3,V3), P_add-{F}(V3,V3,V3), P_pixley-{F}(V0,V4,V3,V0), P_multiply-{F}(V4,V3,V3), P_add-{F}(V4,V4,V3), P_pixley-{F}(V0,V0,V4,V3), P_multiply-{F}(V5,V3,V3), P_multiply-{F}(V6,V0,V0), P_pixley-{F}(V3,V3,V6,V7), P_multiply-{F}(V0,V7,V0), P_multiply-{F}(V8,V0,V0), P_multiply-{F}(V0,V8,V0), P_add-{F}(V0,V9,V0), P_multiply-{F}(V10,V0,V0), P_multiply-{F}(V0,V10,V0), P_add-{F}(V4,V11,V3), P_add-{F}(V12,V0,V0), P_pixley-{F}(V0,V0,V13,V0), P_multiply-{F}(V13,V0,V0), P_multiply-{F}(V0,V13,V14), P_add-{F}(V15,V15,V16), P_multiply-{F}(V17,V15,V0), P_multiply-{F}(V18,V15,V0), P_add-{F}(V17,V18,V19), P_add-{F}(V20,V20,V21), P_multiply-{F}(V22,V20,V0), P_multiply-{F}(V23,V20,V0), P_add-{F}(V22,V23,V24) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2647: mergings( V12 == V30, V19 == V22, V30 == V31, V11 == V15, V22 == V31, V13 == V20, V15 == V28, V28 == V32, V14 == V32, V32 == V33, V33 == V34, V20 == V35, V34 == V31, V31 == V37, V35 == V38, V37 == V44, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V38, V38 == V21, V21 == V24, V24 == V25, V44 == V36; #2617 ), references = 2, size of lhs = 54:
% 123.92/124.13 P_n1-{F}(V0), P_add-{F}(V0,V0,V0), P_pixley-{F}(V0,V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V3,V3), P_add-{F}(V3,V3,V3), P_inverse-{F}(V0,V3), P_multiply-{F}(V0,V3,V3), P_add-{F}(V0,V3,V0), P_pixley-{F}(V3,V4,V3,V3), P_inverse-{F}(V4,V3), P_pixley-{F}(V3,V5,V3,V3), P_inverse-{F}(V5,V3), P_inverse-{F}(V6,V3), P_multiply-{F}(V7,V3,V3), P_a-{F}(V8), P_pixley-{F}(V3,V8,V3,V3), P_inverse-{F}(V9,V3), P_multiply-{F}(V10,V0,V0), P_add-{F}(V11,V11,V0), P_multiply-{F}(V0,V10,V12), P_add-{F}(V8,V8,V13), P_add-{F}(V8,V14,V13), P_add-{F}(V11,V15,V0), P_inverse-{F}(V16,V15), P_multiply-{F}(V11,V15,V17), P_pixley-{F}(V11,V16,V8,V18), P_add-{F}(V18,V18,V13), P_add-{F}(V0,V19,V12), P_multiply-{F}(V0,V19,V3), P_inverse-{F}(V20,V19), P_pixley-{F}(V0,V20,V13,V21), P_add-{F}(V7,V21,V21), P_add-{F}(V3,V21,V8), P_add-{F}(V22,V21,V21), P_multiply-{F}(V22,V3,V23), P_add-{F}(V23,V3,V3), P_multiply-{F}(V24,V21,V21), P_add-{F}(V24,V3,V25), P_multiply-{F}(V21,V25,V8), P_inverse-{F}(V26,V27), P_multiply-{F}(V28,V27,V3), P_add-{F}(V28,V27,V29), P_multiply-{F}(V30,V29,V0), P_pixley-{F}(V28,V26,V30,V31), P_inverse-{F}(V32,V33), P_multiply-{F}(V34,V33,V3), P_pixley-{F}(V34,V32,V3,V3), P_multiply-{F}(V34,V3,V35), P_multiply-{F}(V36,V3,V35), P_add-{F}(V36,V33,V31) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2741: mergings( V0 == V78, V41 == V42, V42 == V60, V50 == V61, V67 == V72, V78 == V63, V49 == V52, V65 == V66, V69 == V70, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V63, V63 == V38, V38 == V39, V39 == V40, V52 == V75, V40 == V73, V66 == V74, V74 == V47; #2688 ), references = 1, size of lhs = 59:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_add-{F}(V1,V1,V1), P_multiply-{F}(V1,V0,V1), P_multiply-{F}(V1,V1,V1), P_multiply-{F}(V0,V1,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V0,V1), P_pixley-{F}(V0,V1,V3,V0), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V4), P_inverse-{F}(V5,V1), P_add-{F}(V5,V5,V6), P_pixley-{F}(V0,V0,V6,V6), P_inverse-{F}(V6,V1), P_pixley-{F}(V0,V0,V5,V6), P_add-{F}(V6,V6,V6), P_add-{F}(V5,V7,V6), P_a-{F}(V8), P_pixley-{F}(V0,V0,V8,V8), P_add-{F}(V8,V8,V8), P_multiply-{F}(V8,V8,V9), P_add-{F}(V9,V8,V8), P_add-{F}(V8,V10,V8), P_inverse-{F}(V11,V1), P_inverse-{F}(V12,V1), P_inverse-{F}(V13,V1), P_multiply-{F}(V14,V0,V0), P_pixley-{F}(V1,V1,V14,V15), P_multiply-{F}(V0,V15,V0), P_multiply-{F}(V16,V0,V0), P_multiply-{F}(V0,V16,V0), P_multiply-{F}(V17,V8,V9), P_multiply-{F}(V18,V0,V0), P_multiply-{F}(V0,V18,V0), P_add-{F}(V0,V19,V0), P_multiply-{F}(V6,V6,V20), P_add-{F}(V20,V6,V6), P_add-{F}(V6,V1,V21), P_multiply-{F}(V22,V21,V0), P_pixley-{F}(V6,V11,V22,V21), P_multiply-{F}(V23,V6,V20), P_pixley-{F}(V0,V0,V24,V0), P_multiply-{F}(V24,V0,V0), P_multiply-{F}(V0,V24,V25), P_pixley-{F}(V0,V0,V26,V1), P_multiply-{F}(V26,V0,V1), P_multiply-{F}(V0,V26,V27), P_add-{F}(V28,V28,V29), P_multiply-{F}(V30,V28,V0), P_multiply-{F}(V31,V28,V0), P_add-{F}(V30,V31,V32), P_add-{F}(V33,V33,V34), P_multiply-{F}(V35,V33,V0), P_multiply-{F}(V36,V33,V0), P_add-{F}(V35,V36,V37) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2746: exists( #9, #402 ), references = 1, size of lhs = 9:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V3,V2,V5), P_multiply-{F}(V6,V3,V7), P_add-{F}(V6,V8,V9), P_multiply-{F}(V8,V3,V10), P_pixley-{F}(V3,V1,V9,V11), P_multiply-{F}(V9,V5,V12) | P_add-{T}(V4,V12,V11)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2751: exists( #8, #2747 ), references = 2, size of lhs = 11:
% 123.92/124.13 P_n1-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V3,V3,V4), P_pixley-{F}(V5,V1,V4,V5), P_multiply-{F}(V5,V2,V6), P_add-{F}(V5,V2,V7), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V8,V3,V9), P_multiply-{F}(V10,V3,V9), P_add-{F}(V6,V10,V11), P_multiply-{F}(V3,V11,V12) | P_multiply-{T}(V3,V5,V12)
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2775: mergings( V24 == V31, V23 == V25, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V21, V21 == V27, V9 == V22, V22 == V25, V25 == V31; #2762 ), references = 2, size of lhs = 68:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_add-{F}(V1,V1,V2), P_a-{F}(V3), P_multiply-{F}(V4,V0,V0), P_add-{F}(V5,V5,V0), P_multiply-{F}(V0,V4,V6), P_add-{F}(V3,V3,V7), P_add-{F}(V3,V8,V7), P_inverse-{F}(V0,V9), P_pixley-{F}(V9,V3,V9,V9), P_multiply-{F}(V0,V9,V9), P_pixley-{F}(V9,V1,V1,V9), P_add-{F}(V0,V9,V0), P_add-{F}(V1,V9,V2), P_add-{F}(V9,V9,V9), P_multiply-{F}(V9,V9,V9), P_pixley-{F}(V9,V10,V9,V9), P_inverse-{F}(V10,V9), P_pixley-{F}(V9,V11,V9,V9), P_inverse-{F}(V11,V9), P_inverse-{F}(V12,V9), P_multiply-{F}(V13,V9,V9), P_inverse-{F}(V14,V9), P_pixley-{F}(V9,V15,V9,V9), P_inverse-{F}(V15,V0), P_pixley-{F}(V9,V16,V9,V9), P_inverse-{F}(V16,V0), P_inverse-{F}(V17,V9), P_pixley-{F}(V9,V1,V9,V18), P_add-{F}(V9,V18,V9), P_add-{F}(V5,V19,V0), P_inverse-{F}(V20,V19), P_multiply-{F}(V5,V19,V21), P_pixley-{F}(V5,V20,V3,V22), P_add-{F}(V22,V22,V7), P_add-{F}(V0,V23,V6), P_multiply-{F}(V0,V23,V9), P_inverse-{F}(V24,V23), P_pixley-{F}(V0,V24,V7,V25), P_add-{F}(V13,V25,V25), P_add-{F}(V9,V25,V3), P_add-{F}(V26,V25,V25), P_multiply-{F}(V26,V9,V27), P_add-{F}(V27,V9,V9), P_multiply-{F}(V28,V25,V25), P_add-{F}(V28,V9,V29), P_multiply-{F}(V25,V29,V3), P_inverse-{F}(V30,V31), P_multiply-{F}(V32,V31,V9), P_pixley-{F}(V32,V30,V0,V0), P_multiply-{F}(V32,V0,V33), P_multiply-{F}(V34,V0,V33), P_add-{F}(V34,V31,V0), P_inverse-{F}(V35,V36), P_multiply-{F}(V37,V36,V9), P_add-{F}(V37,V36,V38), P_multiply-{F}(V39,V38,V0), P_pixley-{F}(V37,V35,V39,V40), P_inverse-{F}(V41,V42), P_multiply-{F}(V43,V42,V9), P_pixley-{F}(V43,V41,V9,V9), P_multiply-{F}(V43,V9,V44), P_multiply-{F}(V45,V9,V44), P_add-{F}(V45,V42,V40) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2859: mergings( V0 == V39, V25 == V30, V33 == V34, V39 == V40, V40 == V31, V22 == V23, V24 == V28, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V31, V28 == V36, V31 == V35; #2829 ), references = 1, size of lhs = 29:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_add-{F}(V1,V1,V1), P_a-{F}(V2), P_pixley-{F}(V0,V0,V2,V2), P_add-{F}(V2,V2,V2), P_multiply-{F}(V2,V2,V3), P_add-{F}(V3,V2,V2), P_multiply-{F}(V4,V0,V0), P_multiply-{F}(V0,V4,V0), P_add-{F}(V2,V5,V2), P_multiply-{F}(V6,V2,V3), P_add-{F}(V0,V7,V0), P_multiply-{F}(V1,V1,V8), P_add-{F}(V8,V1,V1), P_pixley-{F}(V0,V0,V9,V0), P_multiply-{F}(V9,V0,V0), P_multiply-{F}(V0,V9,V10), P_add-{F}(V11,V11,V12), P_multiply-{F}(V13,V11,V0), P_multiply-{F}(V14,V11,V0), P_add-{F}(V13,V14,V15), P_add-{F}(V16,V16,V17), P_multiply-{F}(V18,V16,V0), P_multiply-{F}(V19,V16,V0), P_add-{F}(V18,V19,V20) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2891: mergings( V22 == V33, V28 == V29, V33 == V34, V34 == V26, V23 == V24, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V26, V26 == V30; #2863 ), references = 1, size of lhs = 22:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_b-{F}(V1), P_add-{F}(V1,V1,V1), P_multiply-{F}(V2,V0,V0), P_multiply-{F}(V0,V2,V0), P_add-{F}(V0,V3,V0), P_multiply-{F}(V1,V1,V4), P_add-{F}(V4,V1,V1), P_pixley-{F}(V0,V0,V5,V0), P_multiply-{F}(V5,V0,V0), P_multiply-{F}(V0,V5,V6), P_add-{F}(V7,V7,V8), P_multiply-{F}(V9,V7,V0), P_multiply-{F}(V10,V7,V0), P_add-{F}(V9,V10,V11), P_add-{F}(V12,V12,V13), P_multiply-{F}(V14,V12,V0), P_multiply-{F}(V15,V12,V0), P_add-{F}(V14,V15,V16) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2923: mergings( V24 == V31, V31 == V32, V32 == V26, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V26, V26 == V28; #2895 ), references = 1, size of lhs = 18:
% 123.92/124.13 P_n1-{F}(V0), P_pixley-{F}(V0,V0,V0,V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V0,V1,V0), P_add-{F}(V0,V2,V0), P_pixley-{F}(V0,V0,V3,V0), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V0,V3,V4), P_add-{F}(V5,V5,V6), P_multiply-{F}(V7,V5,V0), P_multiply-{F}(V8,V5,V0), P_add-{F}(V7,V8,V9), P_add-{F}(V10,V10,V11), P_multiply-{F}(V12,V10,V0), P_multiply-{F}(V13,V10,V0), P_add-{F}(V12,V13,V14) | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 #2928: exists( #11, #2926 ), references = 1, size of lhs = 0:
% 123.92/124.13 FALSE | FALSE
% 123.92/124.13 (used 0 times, uses = {})
% 123.92/124.13
% 123.92/124.13 number of learnt formulas = 138
% 123.92/124.13
% 123.92/124.13
% 123.92/124.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 123.92/124.13
% 123.92/124.13 randbase = 1
%------------------------------------------------------------------------------