TSTP Solution File: GRP517-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:04:01 EDT 2022
% Result : Unsatisfiable 8.86s 9.04s
% Output : Refutation 8.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 14:06:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 8.86/9.04 GeoParameters:
% 8.86/9.04
% 8.86/9.04 tptp_input = 1
% 8.86/9.04 tptp_output = 0
% 8.86/9.04 nonempty = 1
% 8.86/9.04 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/9.04 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.86/9.04
% 8.86/9.04
% 8.86/9.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/9.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/9.04
% 8.86/9.04 RuleSystem INPUT:
% 8.86/9.04
% 8.86/9.04 Initial Rules:
% 8.86/9.04 #0: input, references = 11, size of lhs = 6:
% 8.86/9.04 P_multiply-{F}(V0,V1,V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V5,V1,V6), P_multiply-{F}(V0,V6,V7), V7 == V2 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #1: input, references = 8, size of lhs = 6:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V5), P_b1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #2: input, references = 50, size of lhs = 2:
% 8.86/9.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #3: input, references = 23, size of lhs = 1:
% 8.86/9.04 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #4: input, references = 4, size of lhs = 0:
% 8.86/9.04 FALSE | EXISTS V0: P_a1-{T}(V0)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #5: input, references = 4, size of lhs = 0:
% 8.86/9.04 FALSE | EXISTS V0: P_b1-{T}(V0)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 number of initial rules = 6
% 8.86/9.04
% 8.86/9.04 Simplifiers:
% 8.86/9.04 #6: unsound, references = 3, size of lhs = 3:
% 8.86/9.04 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #7: unsound, references = 3, size of lhs = 3:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #8: unsound, references = 3, size of lhs = 3:
% 8.86/9.04 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #9: unsound, references = 3, size of lhs = 3:
% 8.86/9.04 P_b1-{F}(V0), P_b1-{F}(V1), V0 == V1 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 number of simplifiers = 4
% 8.86/9.04
% 8.86/9.04 Learnt:
% 8.86/9.04 #11: exists( #2, #1 ), references = 1, size of lhs = 3:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V0), P_inverse-{F}(V0,V1) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #13: exists( #3, #10 ), references = 1, size of lhs = 2:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V0) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #15: exists( #2, #0 ), references = 34, size of lhs = 4:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V5,V3,V6) | P_multiply-{T}(V2,V6,V4)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #22: mergings( V3 == V7, V4 == V8; #19 ), references = 6, size of lhs = 5:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V6,V5), V4 == V6 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #26: exists( #2, #24 ), references = 39, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V6,V5,V10) | P_multiply-{T}(V3,V9,V10)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #29: exists( #2, #27 ), references = 5, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V4,V0), P_inverse-{F}(V6,V5), P_multiply-{F}(V7,V8,V6), P_multiply-{F}(V9,V8,V10), P_multiply-{F}(V7,V10,V11), P_multiply-{F}(V3,V11,V12), V12 == V9 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #31: exists( #3, #28 ), references = 11, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V3), P_multiply-{F}(V5,V6,V0), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V8,V9), P_multiply-{F}(V4,V9,V10), V10 == V7 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #33: exists( #2, #30 ), references = 76, size of lhs = 4:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V5,V6) | P_multiply-{T}(V1,V6,V4)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #38: exists( #3, #36 ), references = 2, size of lhs = 7:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_b1-{F}(V3), P_multiply-{F}(V4,V5,V3), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V4,V6,V3) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #55: exists( #3, #49 ), references = 1, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V6,V9,V10), P_multiply-{F}(V8,V4,V11), P_multiply-{F}(V12,V3,V11), P_multiply-{F}(V1,V11,V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V14,V15,V2), V12 == V15 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #56: exists( #3, #50 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V3,V5,V2), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V8,V9,V7), P_multiply-{F}(V10,V9,V11), P_multiply-{F}(V8,V11,V12), P_multiply-{F}(V10,V6,V13), P_multiply-{F}(V1,V13,V14), P_inverse-{F}(V14,V15), P_multiply-{F}(V15,V16,V3), P_multiply-{F}(V17,V4,V13), P_multiply-{F}(V18,V5,V13), V16 == V18 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #57: exists( #3, #51 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V6,V9,V10), P_multiply-{F}(V8,V4,V11), P_multiply-{F}(V12,V11,V0), P_multiply-{F}(V12,V13,V14), P_inverse-{F}(V14,V15), P_inverse-{F}(V16,V15), P_multiply-{F}(V17,V13,V16), P_inverse-{F}(V18,V17), P_multiply-{F}(V3,V19,V18), P_multiply-{F}(V20,V19,V11), V2 == V20 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #61: exists( #2, #52 ), references = 4, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V8,V4,V10), P_multiply-{F}(V11,V3,V10), P_multiply-{F}(V1,V10,V12), P_inverse-{F}(V12,V13), P_multiply-{F}(V13,V14,V2), V11 == V14 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #62: exists( #2, #53 ), references = 2, size of lhs = 14:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V3,V5,V2), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V8,V9,V7), P_multiply-{F}(V10,V9,V11), P_multiply-{F}(V10,V6,V12), P_multiply-{F}(V1,V12,V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V14,V15,V3), P_multiply-{F}(V16,V4,V12), P_multiply-{F}(V17,V5,V12), V15 == V17 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #63: exists( #2, #54 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V8,V4,V10), P_multiply-{F}(V11,V10,V0), P_multiply-{F}(V11,V12,V13), P_inverse-{F}(V13,V14), P_inverse-{F}(V15,V14), P_multiply-{F}(V16,V12,V15), P_inverse-{F}(V17,V16), P_multiply-{F}(V3,V18,V17), P_multiply-{F}(V19,V18,V10), V2 == V19 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #77: exists( #2, #70 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V1,V6,V7), P_multiply-{F}(V8,V6,V7), P_inverse-{F}(V9,V8), P_multiply-{F}(V2,V10,V9), P_multiply-{F}(V11,V10,V5), V4 == V11 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #78: exists( #2, #71 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V0), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V1,V6,V7), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V6,V9), P_inverse-{F}(V11,V10), P_multiply-{F}(V2,V12,V11), P_multiply-{F}(V13,V12,V5), V4 == V13 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #79: exists( #2, #73 ), references = 2, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V4,V5,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V1,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V8,V5,V11), P_multiply-{F}(V12,V11,V2), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V10,V14,V12), V7 == V14 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #86: exists( #2, #80 ), references = 6, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V3,V5,V2), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V8,V5,V7), V6 == V8 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #90: exists( #3, #83 ), references = 7, size of lhs = 5:
% 8.86/9.04 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V3,V2), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V6,V3,V5), V4 == V6 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #118: exists( #2, #112 ), references = 2, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V5,V6,V2), P_multiply-{F}(V5,V0,V7), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V8,V10,V9), P_multiply-{F}(V11,V10,V5), V11 == V1 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #120: mergings( V9 == V11; #116 ), references = 3, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V0,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V3,V6), V6 == V1, P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V3,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V11,V7,V2) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #121: exists( #2, #114 ), references = 1, size of lhs = 17:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_multiply-{F}(V7,V2,V6), P_multiply-{F}(V8,V4,V7), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V3,V9), P_multiply-{F}(V1,V10,V11), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V10,V4,V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V14,V12,V15), V15 == V5, P_inverse-{F}(V16,V10), P_multiply-{F}(V14,V17,V16), P_multiply-{F}(V4,V17,V18) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #125: exists( #3, #115 ), references = 9, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V4,V5,V0), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V7,V9,V8), P_multiply-{F}(V10,V9,V4) | P_inverse-{T}(V2,V10)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #127: mergings( V4 == V6; #123 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V0), P_multiply-{F}(V0,V5,V6), P_multiply-{F}(V2,V6,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V4,V9), P_multiply-{F}(V9,V5,V4) | P_inverse-{T}(V4,V3)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #128: exists( #3, #117 ), references = 1, size of lhs = 14:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V6,V5,V4), P_inverse-{F}(V7,V6), P_multiply-{F}(V8,V3,V7), P_multiply-{F}(V1,V8,V9), P_multiply-{F}(V9,V0,V10), P_multiply-{F}(V8,V5,V11), P_inverse-{F}(V11,V12), P_multiply-{F}(V12,V10,V13), P_inverse-{F}(V14,V8), P_multiply-{F}(V12,V15,V14), P_multiply-{F}(V5,V15,V16) | P_inverse-{T}(V5,V13)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #133: exists( #3, #131 ), references = 3, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V1,V7,V8), P_multiply-{F}(V1,V9,V8), V7 == V9 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #140: exists( #2, #138 ), references = 2, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V0,V4,V5), P_multiply-{F}(V6,V0,V7), P_multiply-{F}(V6,V8,V7), P_multiply-{F}(V9,V8,V1), P_multiply-{F}(V9,V10,V11), P_multiply-{F}(V9,V12,V11), V10 == V12 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #145: exists( #2, #140 ), references = 2, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V0,V6), P_multiply-{F}(V5,V7,V6), P_multiply-{F}(V8,V7,V1), P_multiply-{F}(V8,V9,V10), P_multiply-{F}(V8,V11,V10), V9 == V11 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #148: exists( #2, #146 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V8,V0,V9), P_multiply-{F}(V8,V10,V9), P_multiply-{F}(V11,V10,V1), P_multiply-{F}(V11,V12,V13), P_multiply-{F}(V11,V14,V13), V12 == V14 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #150: exists( #3, #147 ), references = 1, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V7,V0,V8), P_multiply-{F}(V7,V9,V8), P_multiply-{F}(V10,V9,V1), P_multiply-{F}(V10,V11,V12), P_multiply-{F}(V10,V13,V12), V11 == V13 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #160: exists( #2, #155 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V1,V7,V6), P_inverse-{F}(V7,V8), P_multiply-{F}(V9,V0,V7), V6 == V9 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #161: exists( #2, #156 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V1,V3,V4), V0 == V4, P_inverse-{F}(V5,V4), P_multiply-{F}(V6,V2,V5), P_multiply-{F}(V6,V0,V7), P_inverse-{F}(V7,V4) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #162: exists( #2, #154 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V1,V7,V6), P_multiply-{F}(V8,V0,V9), P_multiply-{F}(V8,V10,V9), P_multiply-{F}(V11,V10,V7), V11 == V6 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #191: mergings( V12 == V15; #187 ), references = 2, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V7,V8,V2), P_multiply-{F}(V5,V8,V9), P_multiply-{F}(V1,V9,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V5,V12), V12 == V7, P_multiply-{F}(V11,V13,V14) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #192: exists( #2, #184 ), references = 2, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V2), P_multiply-{F}(V10,V8,V11), P_multiply-{F}(V10,V12,V11), P_multiply-{F}(V13,V14,V6), P_multiply-{F}(V3,V14,V15), P_inverse-{F}(V15,V16), P_multiply-{F}(V16,V12,V17), P_inverse-{F}(V17,V18), P_multiply-{F}(V18,V13,V19), V9 == V19 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #193: exists( #2, #185 ), references = 2, size of lhs = 17:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V2), P_multiply-{F}(V10,V8,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V12), P_multiply-{F}(V10,V14,V13), P_multiply-{F}(V15,V16,V6), P_multiply-{F}(V3,V16,V17), P_inverse-{F}(V17,V18), P_multiply-{F}(V18,V14,V19), P_inverse-{F}(V19,V20), P_multiply-{F}(V20,V15,V21), V21 == V9 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #211: mergings( V10 == V13; #208 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V4,V0), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V7,V8,V2), P_multiply-{F}(V7,V9,V4), P_multiply-{F}(V10,V8,V9), P_multiply-{F}(V5,V11,V12) | P_multiply-{T}(V1,V10,V6)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #212: exists( #2, #207 ), references = 1, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V4,V0), P_inverse-{F}(V4,V5), P_multiply-{F}(V6,V7,V2), P_multiply-{F}(V6,V8,V4), P_multiply-{F}(V9,V7,V8), P_multiply-{F}(V5,V10,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V12), P_multiply-{F}(V14,V10,V13), P_multiply-{F}(V14,V4,V15) | P_multiply-{T}(V1,V9,V15)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #231: mergings( V6 == V9, V3 == V10, V9 == V10; #225 ), references = 2, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V2,V2,V1), P_inverse-{F}(V3,V2), V3 == V1, P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V2,V3,V4), P_inverse-{F}(V5,V3), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V0,V7,V8), P_multiply-{F}(V2,V9,V10) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #235: mergings( V4 == V5, V7 == V9, V9 == V16; #226 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V0,V1), P_inverse-{F}(V4,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V6,V4,V5), P_multiply-{F}(V3,V4,V7), P_inverse-{F}(V8,V4), P_multiply-{F}(V9,V10,V8), P_multiply-{F}(V2,V10,V11), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V14,V6,V15), P_multiply-{F}(V14,V16,V15), P_multiply-{F}(V17,V16,V7), V1 == V17 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #239: mergings( V4 == V5, V7 == V9, V9 == V16; #227 ), references = 1, size of lhs = 17:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V0,V1), P_inverse-{F}(V4,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V6,V4,V5), P_multiply-{F}(V3,V4,V7), P_inverse-{F}(V8,V4), P_multiply-{F}(V9,V10,V8), P_multiply-{F}(V2,V10,V11), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V14,V6,V15), P_inverse-{F}(V15,V16), P_inverse-{F}(V17,V16), P_multiply-{F}(V14,V18,V17), P_multiply-{F}(V19,V18,V7), V19 == V1 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #276: exists( #3, #270 ), references = 6, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V9,V8,V10), P_multiply-{F}(V9,V11,V6), P_multiply-{F}(V12,V11,V5), P_multiply-{F}(V1,V9,V13), V13 == V12, P_multiply-{F}(V1,V14,V15) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #278: mergings( V8 == V14; #274 ), references = 6, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V7,V8,V6), P_multiply-{F}(V9,V8,V5), P_multiply-{F}(V1,V7,V10), V9 == V10, P_multiply-{F}(V7,V11,V12), P_multiply-{F}(V13,V11,V5), P_multiply-{F}(V13,V14,V5), P_multiply-{F}(V7,V14,V12) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #281: mergings( V3 == V4, V9 == V15; #275 ), references = 3, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V7,V8,V6), P_multiply-{F}(V9,V8,V5), P_multiply-{F}(V1,V7,V10), V10 == V9, P_multiply-{F}(V7,V11,V12), P_multiply-{F}(V13,V11,V5), P_multiply-{F}(V13,V14,V5), P_multiply-{F}(V7,V14,V12) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #315: mergings( V3 == V18; #312 ), references = 1, size of lhs = 17:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V5,V8,V9), P_multiply-{F}(V10,V8,V4), P_inverse-{F}(V10,V11), P_multiply-{F}(V12,V13,V9), P_multiply-{F}(V10,V13,V14), P_multiply-{F}(V12,V14,V15), P_multiply-{F}(V1,V16,V17), P_multiply-{F}(V11,V18,V19), V2 == V19, P_multiply-{F}(V18,V20,V21), P_multiply-{F}(V22,V20,V9), P_multiply-{F}(V22,V21,V15) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #316: exists( #3, #311 ), references = 1, size of lhs = 20:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V13,V14), P_multiply-{F}(V1,V15,V16), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V17), P_multiply-{F}(V19,V15,V18), P_multiply-{F}(V19,V0,V20), P_multiply-{F}(V10,V21,V22), V20 == V22, P_multiply-{F}(V21,V23,V24), P_multiply-{F}(V25,V23,V8), P_multiply-{F}(V25,V24,V14) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #321: mergings( V12 == V19, V4 == V17; #317 ), references = 2, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V5,V8,V9), P_multiply-{F}(V10,V8,V4), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V10,V12), V2 == V12, P_multiply-{F}(V13,V14,V9), P_multiply-{F}(V10,V14,V15), P_multiply-{F}(V13,V16,V9), P_multiply-{F}(V10,V16,V15), P_multiply-{F}(V1,V17,V18) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #323: mergings( V12 == V21; #318 ), references = 1, size of lhs = 18:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V9,V11), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V12,V15,V8), P_multiply-{F}(V9,V15,V14), P_multiply-{F}(V1,V16,V17), P_inverse-{F}(V17,V18), P_inverse-{F}(V19,V18), P_multiply-{F}(V20,V16,V19), P_multiply-{F}(V20,V0,V21), V21 == V11 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #328: mergings( V12 == V1, V4 == V19; #324 ), references = 6, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V5,V8,V9), P_multiply-{F}(V10,V8,V4), P_inverse-{F}(V10,V11), P_multiply-{F}(V12,V13,V9), P_multiply-{F}(V10,V13,V14), P_multiply-{F}(V12,V15,V9), P_multiply-{F}(V10,V15,V14), P_multiply-{F}(V1,V16,V17) | P_multiply-{T}(V11,V10,V2)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #330: mergings( V12 == V1; #325 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V14,V8), P_multiply-{F}(V9,V14,V13), P_multiply-{F}(V1,V15,V16), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V17), P_multiply-{F}(V19,V15,V18), P_multiply-{F}(V19,V0,V20) | P_multiply-{T}(V10,V9,V20)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #337: mergings( V9 == V15, V3 == V18; #333 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V14,V8), P_multiply-{F}(V9,V14,V13), P_multiply-{F}(V1,V15,V16), P_multiply-{F}(V17,V9,V18), P_multiply-{F}(V17,V19,V18), P_multiply-{F}(V20,V19,V2), V10 == V20 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #340: mergings( V9 == V15, V3 == V18; #334 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V9,V6), P_multiply-{F}(V11,V12,V6), P_multiply-{F}(V13,V12,V2), V10 == V13, P_multiply-{F}(V14,V15,V8), P_multiply-{F}(V9,V15,V16), P_multiply-{F}(V14,V17,V8), P_multiply-{F}(V9,V17,V16), P_multiply-{F}(V1,V18,V19) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #354: mergings( V1 == V10; #350 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V1,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V2,V7,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V4,V8,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V6,V12,V9), V11 == V12 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #357: mergings( V14 == V13, V12 == V15; #351 ), references = 2, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V0), P_multiply-{F}(V6,V7,V3), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V6,V9,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V12,V2), P_multiply-{F}(V13,V5,V12), V13 == V8 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #361: mergings( V14 == V13, V12 == V16, V16 == V17; #352 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V0), P_multiply-{F}(V6,V7,V3), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V6,V9,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V12,V2), P_multiply-{F}(V13,V5,V12), V8 == V13 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #374: mergings( V1 == V4, V0 == V3, V4 == V7; #368 ), references = 1, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V1,V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V1,V5,V0), P_multiply-{F}(V1,V6,V0), V3 == V6, P_multiply-{F}(V7,V1,V8), P_multiply-{F}(V7,V5,V8) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #377: mergings( V4 == V5, V3 == V15; #369 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), V1 == V0, P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_multiply-{F}(V4,V0,V3), P_multiply-{F}(V4,V5,V1), P_inverse-{F}(V6,V1), P_multiply-{F}(V7,V8,V2), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V7,V10,V6), P_multiply-{F}(V0,V10,V9), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V11,V5,V12) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #380: mergings( V4 == V5, V3 == V15; #370 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), V0 == V1, P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_multiply-{F}(V4,V0,V3), P_multiply-{F}(V4,V5,V1), P_inverse-{F}(V6,V1), P_multiply-{F}(V7,V8,V2), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V7,V10,V6), P_multiply-{F}(V0,V10,V9), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V11,V5,V12) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #412: mergings( V9 == V10; #408 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_multiply-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V2), P_inverse-{F}(V3,V5), P_multiply-{F}(V5,V0,V2), P_multiply-{F}(V3,V4,V6), P_inverse-{F}(V7,V3), P_multiply-{F}(V8,V9,V7), P_multiply-{F}(V4,V9,V10), P_multiply-{F}(V3,V11,V12), P_multiply-{F}(V11,V13,V1), P_multiply-{F}(V14,V13,V6), V12 == V14, P_multiply-{F}(V11,V15,V16), P_multiply-{F}(V17,V15,V6) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #417: mergings( V10 == V11, V4 == V6, V5 == V8, V3 == V7; #409 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V2,V2,V1), P_inverse-{F}(V3,V2), V3 == V1, P_multiply-{F}(V3,V0,V4), P_inverse-{F}(V5,V3), P_inverse-{F}(V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V10,V11,V6), P_multiply-{F}(V0,V11,V12), P_multiply-{F}(V2,V13,V14) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #419: mergings( V10 == V11; #410 ), references = 1, size of lhs = 18:
% 8.86/9.04 P_multiply-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V2), P_multiply-{F}(V5,V0,V2), P_inverse-{F}(V6,V5), P_multiply-{F}(V6,V4,V7), P_inverse-{F}(V8,V6), P_multiply-{F}(V9,V10,V8), P_multiply-{F}(V4,V10,V11), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V12,V14,V1), P_multiply-{F}(V15,V14,V7), V15 == V13, P_multiply-{F}(V12,V16,V17), P_multiply-{F}(V18,V16,V7), P_multiply-{F}(V18,V19,V7), P_multiply-{F}(V12,V19,V17) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #433: exists( #2, #427 ), references = 2, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V0,V4), V4 == V2, P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V0,V8) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #436: mergings( V7 == V11, V6 == V12; #431 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V0,V9), V9 == V2 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #439: mergings( V5 == V8, V6 == V9; #432 ), references = 2, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_inverse-{F}(V4,V2), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V2,V7,V8), P_inverse-{F}(V8,V9), P_inverse-{F}(V10,V9), P_multiply-{F}(V1,V11,V10), P_multiply-{F}(V12,V7,V11), V12 == V3 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #451: exists( #2, #445 ), references = 6, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V5,V0,V7), P_multiply-{F}(V5,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V0,V11) | P_multiply-{T}(V3,V6,V7)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #454: mergings( V9 == V14, V7 == V15; #449 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V5,V7,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V7,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V0,V12) | P_multiply-{T}(V3,V6,V12)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #458: mergings( V1 == V13, V14 == V17, V0 == V18; #450 ), references = 1, size of lhs = 21:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V1), P_multiply-{F}(V1,V6,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V6,V5), P_multiply-{F}(V8,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V8,V3), P_multiply-{F}(V11,V8,V5), P_inverse-{F}(V12,V8), P_multiply-{F}(V8,V13,V12), P_multiply-{F}(V14,V15,V4), P_multiply-{F}(V16,V17,V5), P_multiply-{F}(V1,V17,V18), P_inverse-{F}(V18,V19), P_multiply-{F}(V19,V8,V20), P_inverse-{F}(V20,V21), P_multiply-{F}(V21,V16,V5) | P_multiply-{T}(V1,V5,V2)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #477: exists( #2, #276 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V9,V8,V10), P_multiply-{F}(V9,V11,V6), P_multiply-{F}(V12,V11,V5) | P_multiply-{T}(V1,V9,V12)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #478: exists( #2, #278 ), references = 1, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V7,V8,V6), P_multiply-{F}(V9,V8,V5), P_multiply-{F}(V7,V10,V11), P_multiply-{F}(V12,V10,V5), P_multiply-{F}(V12,V13,V5), P_multiply-{F}(V7,V13,V11) | P_multiply-{T}(V1,V7,V9)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #509: exists( #3, #505 ), references = 3, size of lhs = 16:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_b1-{F}(V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V6,V5,V2), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V3,V9,V8), P_multiply-{F}(V10,V7,V11), P_multiply-{F}(V10,V9,V12), P_multiply-{F}(V13,V14,V12), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V13,V16,V12), P_multiply-{F}(V3,V16,V15), P_multiply-{F}(V6,V17,V18) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #511: mergings( V11 == V12; #508 ), references = 1, size of lhs = 20:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V9,V10), P_inverse-{F}(V11,V10), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V12,V15,V8), P_multiply-{F}(V9,V15,V14), P_multiply-{F}(V1,V16,V17), P_multiply-{F}(V18,V19,V11), P_multiply-{F}(V10,V20,V21), P_inverse-{F}(V21,V22), P_inverse-{F}(V23,V22), P_multiply-{F}(V10,V24,V23), P_multiply-{F}(V25,V20,V24), V25 == V2 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #531: mergings( V23 == V26; #527 ), references = 1, size of lhs = 19:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V14,V8), P_multiply-{F}(V9,V14,V13), P_multiply-{F}(V1,V15,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V17,V19,V20), P_multiply-{F}(V21,V19,V2), P_multiply-{F}(V21,V20,V22), P_multiply-{F}(V23,V9,V22), P_multiply-{F}(V18,V23,V24), V10 == V24 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #533: mergings( V23 == V26; #528 ), references = 1, size of lhs = 19:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V14,V8), P_multiply-{F}(V9,V14,V13), P_multiply-{F}(V1,V15,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V17,V19,V20), P_multiply-{F}(V21,V19,V2), P_multiply-{F}(V21,V20,V22), P_multiply-{F}(V23,V9,V22), P_multiply-{F}(V18,V23,V24), V24 == V10 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #535: mergings( V23 == V25; #529 ), references = 1, size of lhs = 20:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V14,V8), P_multiply-{F}(V9,V14,V13), P_multiply-{F}(V1,V15,V16), P_inverse-{F}(V17,V18), P_multiply-{F}(V17,V19,V20), P_multiply-{F}(V21,V19,V2), P_multiply-{F}(V21,V20,V22), P_multiply-{F}(V23,V9,V22), P_multiply-{F}(V18,V23,V24), V24 == V10, P_multiply-{F}(V18,V25,V26) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #566: exists( #2, #560 ), references = 1, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V0,V6,V7), P_multiply-{F}(V8,V9,V4) | P_multiply-{T}(V5,V7,V0)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #569: mergings( V4 == V5, V3 == V9; #564 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V1,V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2), P_multiply-{F}(V0,V6,V7), P_multiply-{F}(V8,V6,V4), P_multiply-{F}(V0,V9,V7), P_multiply-{F}(V8,V9,V5) | P_multiply-{T}(V8,V7,V3)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #572: mergings( V3 == V8, V8 == V13; #565 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2), P_multiply-{F}(V0,V6,V7), P_multiply-{F}(V8,V6,V3), P_multiply-{F}(V0,V9,V7), P_multiply-{F}(V8,V9,V4), P_multiply-{F}(V8,V10,V5), P_multiply-{F}(V0,V10,V7) | P_multiply-{T}(V8,V7,V0)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #595: mergings( V17 == V18; #591 ), references = 1, size of lhs = 17:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V8,V9), P_inverse-{F}(V7,V10), P_multiply-{F}(V7,V3,V11), P_multiply-{F}(V0,V12,V13), P_multiply-{F}(V14,V12,V15), P_multiply-{F}(V16,V11,V15), V2 == V16, P_multiply-{F}(V10,V17,V16), P_multiply-{F}(V1,V18,V19), P_multiply-{F}(V17,V20,V21), P_multiply-{F}(V22,V20,V4), P_multiply-{F}(V22,V21,V9) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #597: mergings( V18 == V19; #592 ), references = 1, size of lhs = 18:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V8,V9), P_inverse-{F}(V7,V10), P_multiply-{F}(V7,V3,V11), P_multiply-{F}(V0,V12,V13), P_multiply-{F}(V0,V14,V13), P_multiply-{F}(V15,V12,V16), P_multiply-{F}(V15,V14,V16), P_multiply-{F}(V17,V11,V16), V17 == V2, P_multiply-{F}(V10,V18,V17), P_multiply-{F}(V18,V19,V20), P_multiply-{F}(V21,V19,V4), P_multiply-{F}(V21,V20,V9) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #599: mergings( V18 == V19; #593 ), references = 1, size of lhs = 18:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V5,V8,V9), P_inverse-{F}(V7,V10), P_multiply-{F}(V7,V3,V11), P_multiply-{F}(V0,V12,V13), P_multiply-{F}(V0,V14,V13), P_multiply-{F}(V15,V12,V16), P_multiply-{F}(V15,V14,V16), P_multiply-{F}(V17,V11,V16), V2 == V17, P_multiply-{F}(V10,V18,V17), P_multiply-{F}(V18,V19,V20), P_multiply-{F}(V21,V19,V4), P_multiply-{F}(V21,V20,V9) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #605: mergings( V9 == V18, V17 == V16; #600 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V8,V7,V9), P_inverse-{F}(V8,V10), P_multiply-{F}(V8,V3,V11), P_multiply-{F}(V10,V8,V12), V2 == V12, P_multiply-{F}(V12,V11,V13), P_multiply-{F}(V0,V14,V15), P_multiply-{F}(V16,V14,V13), P_multiply-{F}(V1,V17,V18) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #608: mergings( V9 == V19, V18 == V17; #601 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V8,V7,V9), P_inverse-{F}(V8,V10), P_multiply-{F}(V8,V3,V11), P_multiply-{F}(V10,V8,V12), V12 == V2, P_multiply-{F}(V12,V11,V13), P_multiply-{F}(V0,V14,V15), P_multiply-{F}(V0,V16,V15), P_multiply-{F}(V17,V14,V13), P_multiply-{F}(V17,V16,V13) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #611: mergings( V9 == V19, V18 == V17; #602 ), references = 1, size of lhs = 16:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V8,V7,V9), P_inverse-{F}(V8,V10), P_multiply-{F}(V8,V3,V11), P_multiply-{F}(V10,V8,V12), V2 == V12, P_multiply-{F}(V12,V11,V13), P_multiply-{F}(V0,V14,V15), P_multiply-{F}(V0,V16,V15), P_multiply-{F}(V17,V14,V13), P_multiply-{F}(V17,V16,V13) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #618: mergings( V6 == V8, V5 == V9, V10 == V12; #613 ), references = 2, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5), V5 == V2, P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V6,V8) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #622: mergings( V6 == V8, V5 == V9, V10 == V12; #614 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5), V2 == V5, P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V6,V8) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #626: mergings( V6 == V8, V5 == V9, V10 == V12; #612 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5), V2 == V5, P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V9,V6,V8), P_multiply-{F}(V1,V10,V11) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #635: mergings( V8 == V9, V6 == V1; #630 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V8,V7,V5), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V6,V11), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V14,V12,V9), P_multiply-{F}(V14,V13,V11) | P_multiply-{T}(V4,V3,V2)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #638: mergings( V8 == V9, V6 == V1; #631 ), references = 1, size of lhs = 11:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V8,V7,V5), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V6,V11), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V14,V12,V9), P_multiply-{F}(V14,V13,V11) | P_multiply-{T}(V4,V3,V2)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #641: mergings( V8 == V9, V6 == V1; #632 ), references = 1, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V8,V7,V5), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V6,V11), P_multiply-{F}(V1,V12,V13), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V16,V14,V9), P_multiply-{F}(V16,V15,V11) | P_multiply-{T}(V4,V3,V2)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #649: mergings( V1 == V13, V9 == V0, V13 == V11, V17 == V20; #644 ), references = 2, size of lhs = 14:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_b1-{F}(V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V3), P_multiply-{F}(V5,V6,V2), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V5,V9,V8), P_inverse-{F}(V8,V10), P_inverse-{F}(V11,V12), P_multiply-{F}(V12,V11,V2), P_multiply-{F}(V13,V6,V14), P_multiply-{F}(V13,V5,V15) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #654: mergings( V9 == V0, V5 == V7, V13 == V16; #650 ), references = 2, size of lhs = 12:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_b1-{F}(V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V4,V5,V2), P_multiply-{F}(V4,V6,V3), P_multiply-{F}(V4,V7,V3), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V8,V2), P_multiply-{F}(V10,V5,V11), P_multiply-{F}(V10,V4,V12) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #659: mergings( V6 == V3, V0 == V4, V4 == V9; #655 ), references = 1, size of lhs = 7:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V0,V2), P_inverse-{F}(V2,V1), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V2,V4,V1), P_multiply-{F}(V2,V2,V5) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #692: mergings( V4 == V6; #688 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V2 == V0, P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V2), P_inverse-{F}(V6,V4), P_multiply-{F}(V4,V7,V6), P_multiply-{F}(V8,V9,V3) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #694: mergings( V4 == V6; #689 ), references = 1, size of lhs = 9:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V2 == V0, P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V2), P_multiply-{F}(V3,V0,V6), P_multiply-{F}(V4,V6,V7), P_inverse-{F}(V8,V4), P_multiply-{F}(V4,V9,V8) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #695: exists( #2, #687 ), references = 1, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V6,V3,V7), V7 == V5, P_multiply-{F}(V6,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V11,V2), P_multiply-{F}(V12,V11,V3), P_inverse-{F}(V13,V12), P_multiply-{F}(V12,V14,V13) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #703: mergings( V3 == V5; #700 ), references = 1, size of lhs = 7:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), V0 == V3, P_multiply-{F}(V0,V4,V3), P_multiply-{F}(V2,V4,V5), P_inverse-{F}(V5,V1) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #705: mergings( V4 == V6; #699 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V2 == V0, P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V2,V6,V7), P_multiply-{F}(V8,V9,V4) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #709: exists( #2, #321 ), references = 4, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V9,V11), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V12,V15,V8), P_multiply-{F}(V9,V15,V14) | P_multiply-{T}(V1,V0,V11)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #710: exists( #2, #618 ), references = 10, size of lhs = 6:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V4,V6,V7), P_multiply-{F}(V8,V5,V7) | P_multiply-{T}(V1,V0,V4)
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #718: exists( #2, #711 ), references = 1, size of lhs = 14:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V2,V5,V4), P_multiply-{F}(V6,V3,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V6,V5,V9), P_multiply-{F}(V10,V11,V9), P_multiply-{F}(V2,V11,V12), P_multiply-{F}(V10,V13,V9), P_multiply-{F}(V2,V13,V12), P_multiply-{F}(V14,V2,V15), P_multiply-{F}(V16,V0,V15), V14 == V16 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #720: exists( #3, #715 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V2,V5,V4), P_multiply-{F}(V6,V3,V7), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V9,V10,V8), P_multiply-{F}(V2,V10,V11), P_multiply-{F}(V9,V12,V8), P_multiply-{F}(V2,V12,V11), P_multiply-{F}(V13,V2,V14), P_multiply-{F}(V15,V0,V14), V13 == V15 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #733: exists( #2, #727 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V0 == V2, P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V7,V6,V4), P_inverse-{F}(V8,V7), P_multiply-{F}(V9,V5,V10), P_multiply-{F}(V11,V12,V3), P_multiply-{F}(V2,V13,V14), P_multiply-{F}(V15,V13,V8), P_multiply-{F}(V15,V14,V10) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #734: exists( #2, #728 ), references = 1, size of lhs = 14:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V8,V7,V2), P_multiply-{F}(V9,V7,V5), P_inverse-{F}(V10,V9), P_multiply-{F}(V11,V6,V12), P_multiply-{F}(V8,V12,V13), V13 == V0, P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V16,V14,V10), P_multiply-{F}(V16,V15,V12) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #735: exists( #2, #729 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), V0 == V3, P_inverse-{F}(V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V7,V6,V4), P_inverse-{F}(V8,V7), P_multiply-{F}(V9,V5,V10), P_multiply-{F}(V2,V11,V12), P_multiply-{F}(V13,V11,V14), P_multiply-{F}(V13,V12,V15), P_multiply-{F}(V3,V16,V17), P_multiply-{F}(V18,V16,V8), P_multiply-{F}(V18,V17,V10) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #745: mergings( V1 == V9, V5 == V0, V9 == V7; #739 ), references = 1, size of lhs = 6:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V0 == V2, P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V2,V5,V4), P_inverse-{F}(V4,V6) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #752: mergings( V7 == V0, V5 == V4; #747 ), references = 2, size of lhs = 5:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V0 == V2, P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V2,V5,V4) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #767: mergings( V16 == V13; #763 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V5,V0,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V5,V9,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V12,V6), P_inverse-{F}(V13,V14), P_multiply-{F}(V15,V13,V16), P_multiply-{F}(V15,V17,V16), P_multiply-{F}(V18,V17,V14), V18 == V8 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #770: mergings( V9 == V13, V15 == V10; #764 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V5,V0,V7), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V7), V9 == V8, P_multiply-{F}(V9,V10,V7), P_multiply-{F}(V9,V11,V6), P_multiply-{F}(V3,V11,V9), P_multiply-{F}(V5,V12,V13), P_inverse-{F}(V13,V14) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #775: exists( #2, #771 ), references = 1, size of lhs = 13:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V2,V4,V1), P_inverse-{F}(V0,V5), P_multiply-{F}(V2,V2,V6), P_multiply-{F}(V2,V7,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V0,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V12,V5), P_multiply-{F}(V12,V7,V13) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #776: exists( #2, #772 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V1), P_inverse-{F}(V0,V4), P_multiply-{F}(V3,V3,V5), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V3,V8,V7), P_inverse-{F}(V7,V9), P_multiply-{F}(V3,V10,V11), P_inverse-{F}(V11,V12), P_multiply-{F}(V12,V0,V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V14,V15,V4), P_multiply-{F}(V15,V10,V16) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #787: mergings( V11 == V15, V3 == V5, V14 == V9, V12 == V15; #782 ), references = 1, size of lhs = 10:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V2,V4,V1), P_inverse-{F}(V4,V5), V3 == V5, P_multiply-{F}(V4,V0,V6), P_inverse-{F}(V7,V4), P_multiply-{F}(V8,V9,V7), P_multiply-{F}(V0,V9,V10) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #790: mergings( V10 == V14; #788 ), references = 1, size of lhs = 12:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), P_multiply-{F}(V4,V5,V3), P_multiply-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V10,V0,V8), P_multiply-{F}(V9,V10,V11), V11 == V1, P_multiply-{F}(V10,V2,V12), P_inverse-{F}(V12,V10) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #804: mergings( V22 == V1; #800 ), references = 1, size of lhs = 21:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_b1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V0,V4,V5), P_multiply-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V6,V9,V10), P_multiply-{F}(V11,V9,V5), P_inverse-{F}(V11,V12), P_multiply-{F}(V13,V14,V10), P_multiply-{F}(V11,V14,V15), P_multiply-{F}(V13,V16,V10), P_multiply-{F}(V11,V16,V15), P_multiply-{F}(V11,V17,V18), P_multiply-{F}(V19,V18,V11), P_inverse-{F}(V20,V19), P_multiply-{F}(V21,V17,V22), P_multiply-{F}(V11,V23,V24), P_multiply-{F}(V25,V23,V20), P_multiply-{F}(V25,V24,V22) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #807: mergings( V27 == V28, V29 == V1; #801 ), references = 1, size of lhs = 25:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V12,V8), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V11,V14,V8), P_multiply-{F}(V9,V14,V13), P_multiply-{F}(V9,V15,V16), P_multiply-{F}(V17,V16,V9), P_inverse-{F}(V18,V17), P_multiply-{F}(V19,V15,V20), P_inverse-{F}(V21,V22), P_multiply-{F}(V22,V1,V23), P_multiply-{F}(V21,V24,V25), P_inverse-{F}(V25,V26), P_multiply-{F}(V26,V24,V27), P_multiply-{F}(V28,V0,V27), V28 == V23, P_multiply-{F}(V9,V29,V30), P_multiply-{F}(V31,V29,V18), P_multiply-{F}(V31,V30,V20) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #811: mergings( V26 == V27, V1 == V20, V28 == V20; #802 ), references = 1, size of lhs = 24:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V1,V11), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V12,V15,V8), P_multiply-{F}(V9,V15,V14), P_multiply-{F}(V9,V16,V17), P_multiply-{F}(V18,V17,V9), P_inverse-{F}(V19,V18), P_multiply-{F}(V20,V16,V21), P_multiply-{F}(V9,V22,V23), P_inverse-{F}(V23,V24), P_multiply-{F}(V24,V22,V25), P_multiply-{F}(V26,V0,V25), V11 == V26, P_multiply-{F}(V9,V27,V28), P_multiply-{F}(V29,V27,V19), P_multiply-{F}(V29,V28,V21) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #823: mergings( V1 == V19, V15 == V0, V19 == V17; #817 ), references = 3, size of lhs = 17:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_b1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V0,V4,V5), P_multiply-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V6,V9,V10), P_multiply-{F}(V11,V9,V5), P_inverse-{F}(V11,V12), P_multiply-{F}(V11,V13,V14), P_multiply-{F}(V11,V15,V14), P_inverse-{F}(V14,V16), P_multiply-{F}(V17,V18,V10), P_multiply-{F}(V11,V18,V19), P_multiply-{F}(V17,V20,V10), P_multiply-{F}(V11,V20,V19) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #829: mergings( V1 == V17, V14 == V0, V16 == V17, V27 == V28, V13 == V0; #818 ), references = 1, size of lhs = 20:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V9,V1), P_inverse-{F}(V12,V11), P_multiply-{F}(V9,V13,V12), P_multiply-{F}(V9,V14,V12), P_multiply-{F}(V15,V16,V8), P_multiply-{F}(V9,V16,V17), P_multiply-{F}(V15,V18,V8), P_multiply-{F}(V9,V18,V17), P_multiply-{F}(V9,V19,V20), P_inverse-{F}(V20,V21), P_multiply-{F}(V21,V19,V22), P_multiply-{F}(V23,V0,V22), V11 == V23 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #836: mergings( V1 == V18, V12 == V14, V13 == V0, V17 == V18, V28 == V29, V0 == V15; #819 ), references = 1, size of lhs = 20:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V9,V7,V3), P_inverse-{F}(V9,V10), P_multiply-{F}(V11,V9,V1), P_inverse-{F}(V12,V11), P_multiply-{F}(V9,V13,V12), P_multiply-{F}(V9,V14,V12), P_multiply-{F}(V15,V16,V8), P_multiply-{F}(V9,V16,V17), P_multiply-{F}(V15,V18,V8), P_multiply-{F}(V9,V18,V17), P_multiply-{F}(V9,V19,V20), P_inverse-{F}(V20,V21), P_multiply-{F}(V21,V19,V22), P_multiply-{F}(V23,V0,V22), V23 == V11 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #841: mergings( V4 == V7, V11 == V12; #838 ), references = 1, size of lhs = 8:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V0,V3), P_inverse-{F}(V4,V0), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V7,V6,V8), P_inverse-{F}(V7,V9) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #863: exists( #2, #858 ), references = 1, size of lhs = 19:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_b1-{F}(V2), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V9,V4,V2), P_multiply-{F}(V8,V10,V3), P_multiply-{F}(V4,V10,V11), P_inverse-{F}(V12,V4), P_multiply-{F}(V4,V13,V12), P_multiply-{F}(V14,V15,V11), P_multiply-{F}(V8,V15,V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V17,V4,V18), P_inverse-{F}(V18,V19), P_multiply-{F}(V19,V14,V11) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #864: exists( #2, #859 ), references = 1, size of lhs = 19:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_b1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V5,V2), P_multiply-{F}(V6,V4,V2), P_inverse-{F}(V7,V6), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V9,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V9,V12), P_inverse-{F}(V12,V13), P_multiply-{F}(V13,V14,V8), P_multiply-{F}(V9,V14,V2), P_multiply-{F}(V13,V5,V15), P_inverse-{F}(V15,V16), P_multiply-{F}(V16,V9,V7), P_inverse-{F}(V17,V9), P_multiply-{F}(V9,V18,V17) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #865: exists( #2, #857 ), references = 1, size of lhs = 19:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_b1-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V5,V2), P_multiply-{F}(V7,V7,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V7,V4), P_inverse-{F}(V10,V7), P_multiply-{F}(V7,V11,V10), P_multiply-{F}(V12,V13,V2), P_multiply-{F}(V3,V13,V14), P_inverse-{F}(V14,V15), P_multiply-{F}(V15,V7,V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V17,V12,V2) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #867: exists( #2, #752 ), references = 1, size of lhs = 3:
% 8.86/9.04 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V0 == V2 | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #869: exists( #3, #823 ), references = 1, size of lhs = 15:
% 8.86/9.04 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_b1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V0,V4,V5), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V10,V8,V5), P_inverse-{F}(V10,V11), P_multiply-{F}(V10,V12,V7), P_multiply-{F}(V10,V13,V7), P_multiply-{F}(V14,V15,V9), P_multiply-{F}(V10,V15,V16), P_multiply-{F}(V14,V17,V9), P_multiply-{F}(V10,V17,V16) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #872: mergings( V3 == V6; #870 ), references = 1, size of lhs = 4:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V0,V3) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #875: mergings( V3 == V4; #873 ), references = 1, size of lhs = 3:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V0,V2) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #877: exists( #3, #873 ), references = 1, size of lhs = 2:
% 8.86/9.04 P_a1-{F}(V0), P_b1-{F}(V1) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #879: exists( #5, #876 ), references = 1, size of lhs = 1:
% 8.86/9.04 P_a1-{F}(V0) | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 #881: exists( #4, #878 ), references = 1, size of lhs = 0:
% 8.86/9.04 FALSE | FALSE
% 8.86/9.04 (used 0 times, uses = {})
% 8.86/9.04
% 8.86/9.04 number of learnt formulas = 130
% 8.86/9.04
% 8.86/9.04
% 8.86/9.04 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/9.04
% 8.86/9.04 randbase = 1
%------------------------------------------------------------------------------