TSTP Solution File: GRP519-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 10.10s 10.32s
% Output : Refutation 10.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 13:37:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.10/10.32 GeoParameters:
% 10.10/10.32
% 10.10/10.32 tptp_input = 1
% 10.10/10.32 tptp_output = 0
% 10.10/10.32 nonempty = 1
% 10.10/10.32 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.10/10.32 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.10/10.32
% 10.10/10.32
% 10.10/10.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.10/10.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.10/10.32
% 10.10/10.32 RuleSystem INPUT:
% 10.10/10.32
% 10.10/10.32 Initial Rules:
% 10.10/10.32 #0: input, references = 11, size of lhs = 6:
% 10.10/10.32 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
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #1: input, references = 6, size of lhs = 7:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V0,V5,V6) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #2: input, references = 50, size of lhs = 2:
% 10.10/10.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #3: input, references = 24, size of lhs = 1:
% 10.10/10.32 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #4: input, references = 4, size of lhs = 0:
% 10.10/10.32 FALSE | EXISTS V0: P_a3-{T}(V0)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #5: input, references = 4, size of lhs = 0:
% 10.10/10.32 FALSE | EXISTS V0: P_b3-{T}(V0)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #6: input, references = 5, size of lhs = 0:
% 10.10/10.32 FALSE | EXISTS V0: P_c3-{T}(V0)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 number of initial rules = 7
% 10.10/10.32
% 10.10/10.32 Simplifiers:
% 10.10/10.32 #7: unsound, references = 3, size of lhs = 3:
% 10.10/10.32 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #8: unsound, references = 3, size of lhs = 3:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #9: unsound, references = 3, size of lhs = 3:
% 10.10/10.32 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #10: unsound, references = 3, size of lhs = 3:
% 10.10/10.32 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #11: unsound, references = 3, size of lhs = 3:
% 10.10/10.32 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 number of simplifiers = 5
% 10.10/10.32
% 10.10/10.32 Learnt:
% 10.10/10.32 #13: exists( #2, #0 ), references = 21, size of lhs = 4:
% 10.10/10.32 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)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #16: exists( #2, #14 ), references = 2, size of lhs = 7:
% 10.10/10.32 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
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #19: exists( #2, #17 ), references = 6, size of lhs = 6:
% 10.10/10.32 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) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #21: exists( #2, #18 ), references = 4, size of lhs = 4:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_inverse-{F}(V5,V6) | P_multiply-{T}(V3,V0,V2)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #31: mergings( V3 == V7, V4 == V8; #26 ), references = 3, size of lhs = 5:
% 10.10/10.32 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
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #32: exists( #2, #24 ), references = 14, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V5,V0,V7), P_multiply-{F}(V5,V8,V9), P_inverse-{F}(V9,V10) | P_multiply-{T}(V6,V2,V7)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #57: exists( #2, #53 ), references = 1, size of lhs = 12:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_multiply-{F}(V6,V2,V5), P_multiply-{F}(V6,V0,V7), P_inverse-{F}(V8,V6), P_multiply-{F}(V6,V8,V9), V9 == V7, P_inverse-{F}(V6,V10), P_multiply-{F}(V6,V11,V12), P_inverse-{F}(V12,V13) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #59: exists( #2, #55 ), references = 1, size of lhs = 10:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_multiply-{F}(V6,V2,V5), P_multiply-{F}(V6,V0,V7), P_inverse-{F}(V8,V6), P_inverse-{F}(V6,V9), P_multiply-{F}(V6,V10,V11), P_inverse-{F}(V11,V12) | P_multiply-{T}(V6,V8,V7)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #64: mergings( V4 == V11, V2 == V9; #61 ), references = 2, size of lhs = 9:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V3), P_inverse-{F}(V5,V4), V5 == V0, P_inverse-{F}(V4,V6), P_multiply-{F}(V4,V0,V7), P_inverse-{F}(V8,V4), P_multiply-{F}(V9,V10,V8) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #66: exists( #2, #61 ), references = 3, size of lhs = 6:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V2 == V0, P_inverse-{F}(V1,V3), P_inverse-{F}(V4,V1), P_multiply-{F}(V5,V6,V4) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #74: exists( #3, #68 ), references = 1, size of lhs = 8:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V7,V8,V4), P_multiply-{F}(V2,V8,V9), P_multiply-{F}(V7,V9,V10), V10 == V0 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #75: exists( #3, #69 ), references = 1, size of lhs = 8:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V2,V4,V5), V5 == V0, P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V2,V8,V9), P_inverse-{F}(V9,V10) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #76: exists( #3, #70 ), references = 1, size of lhs = 9:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V2,V4,V5), V5 == V0, P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V2,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V4,V11) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #80: exists( #2, #71 ), references = 2, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V2,V6,V7), P_multiply-{F}(V5,V7,V8), V8 == V0 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #81: exists( #2, #72 ), references = 3, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V2,V4,V5), V5 == V0, P_multiply-{F}(V2,V6,V7), P_inverse-{F}(V7,V8) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #83: exists( #2, #81 ), references = 3, size of lhs = 5:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V2,V5,V6), P_inverse-{F}(V6,V7) | P_multiply-{T}(V2,V4,V0)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #90: exists( #3, #84 ), references = 1, size of lhs = 9:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V4,V3), P_inverse-{F}(V5,V4), P_multiply-{F}(V4,V6,V7), P_multiply-{F}(V8,V9,V5), P_multiply-{F}(V0,V9,V10), P_multiply-{F}(V8,V10,V11), V11 == V2 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #91: exists( #3, #85 ), references = 2, size of lhs = 9:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V4,V3), P_inverse-{F}(V5,V4), P_multiply-{F}(V0,V5,V6), V6 == V2, P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V0,V9,V10), P_inverse-{F}(V10,V11) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #93: exists( #3, #91 ), references = 2, size of lhs = 8:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V4,V3), P_inverse-{F}(V5,V4), P_multiply-{F}(V0,V5,V6), V6 == V2, P_multiply-{F}(V4,V7,V8), P_multiply-{F}(V0,V9,V10) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #102: exists( #2, #93 ), references = 1, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V4,V3), P_inverse-{F}(V5,V4), P_multiply-{F}(V0,V5,V6), V6 == V2, P_multiply-{F}(V0,V7,V8) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #104: exists( #3, #19 ), references = 2, size of lhs = 5:
% 10.10/10.32 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) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #106: exists( #2, #103 ), references = 32, size of lhs = 2:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3) | P_multiply-{T}(V3,V0,V2)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #127: exists( #2, #123 ), references = 2, size of lhs = 5:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_multiply-{F}(V3,V0,V2), P_multiply-{F}(V3,V4,V5), V5 == V4 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #128: exists( #2, #124 ), references = 2, size of lhs = 6:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V3), V5 == V4, P_inverse-{F}(V3,V6) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #131: mergings( V5 == V3; #129 ), references = 40, size of lhs = 3:
% 10.10/10.32 P_multiply-{F}(V0,V1,V1), P_inverse-{F}(V1,V2), #-{F} V3 | P_multiply-{T}(V0,V3,V3)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #145: exists( #3, #141 ), references = 1, size of lhs = 15:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V6,V5), P_multiply-{F}(V5,V2,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V4,V10,V9), P_multiply-{F}(V10,V0,V9), P_multiply-{F}(V10,V11,V9), P_multiply-{F}(V9,V12,V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V6,V15,V16), V16 == V15 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #146: exists( #3, #140 ), references = 1, size of lhs = 16:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V2,V5), P_multiply-{F}(V5,V2,V6), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V5), P_inverse-{F}(V9,V8), P_multiply-{F}(V7,V8,V10), P_multiply-{F}(V4,V11,V10), P_multiply-{F}(V11,V0,V10), P_multiply-{F}(V10,V9,V12), V12 == V10, P_multiply-{F}(V11,V13,V14), P_multiply-{F}(V10,V15,V16), P_inverse-{F}(V16,V17) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #147: exists( #3, #139 ), references = 1, size of lhs = 17:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V2,V5), P_multiply-{F}(V5,V2,V6), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V5), P_multiply-{F}(V7,V8,V9), P_multiply-{F}(V4,V10,V9), P_multiply-{F}(V10,V0,V9), P_multiply-{F}(V8,V11,V9), V11 == V9, P_inverse-{F}(V12,V8), P_multiply-{F}(V10,V13,V14), P_multiply-{F}(V9,V15,V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V18,V19,V12) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #153: exists( #3, #66 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V2 == V0, P_inverse-{F}(V3,V1), P_multiply-{F}(V4,V5,V3) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #154: exists( #3, #128 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V3), V5 == V4 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #162: mergings( V8 == V6; #159 ), references = 1, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V4), V6 == V0, P_multiply-{F}(V7,V8,V6) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #167: mergings( V9 == V3; #165 ), references = 6, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V5), V5 == V0, P_inverse-{F}(V6,V7), P_multiply-{F}(V3,V6,V8), P_multiply-{F}(V4,V8,V6) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #194: mergings( V14 == V6; #191 ), references = 3, size of lhs = 10:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V5,V2,V3), P_multiply-{F}(V6,V0,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V9,V5), V6 == V9, P_multiply-{F}(V6,V10,V11), P_inverse-{F}(V11,V12) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #196: mergings( V10 == V9; #192 ), references = 1, size of lhs = 10:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V7,V3,V8), P_multiply-{F}(V1,V8,V9), P_inverse-{F}(V9,V10), P_inverse-{F}(V8,V11), P_multiply-{F}(V7,V2,V12), V12 == V9 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #200: mergings( V12 == V10; #197 ), references = 1, size of lhs = 10:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V7,V3,V8), P_multiply-{F}(V1,V8,V9), P_inverse-{F}(V9,V10), P_inverse-{F}(V8,V11), P_multiply-{F}(V7,V2,V12), V12 == V9 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #202: exists( #3, #197 ), references = 3, size of lhs = 9:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V7,V3,V8), P_multiply-{F}(V1,V8,V9), P_inverse-{F}(V8,V10), P_multiply-{F}(V7,V2,V11), V11 == V9 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #207: mergings( V4 == V3, V7 == V6; #204 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V5) | P_multiply-{T}(V1,V4,V4)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #217: mergings( V3 == V2, V6 == V5, V4 == V2; #211 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V1), V1 == V0, P_multiply-{F}(V0,V2,V2), P_inverse-{F}(V2,V3) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #224: mergings( V3 == V2, V8 == V7, V5 == V4, V11 == V10, V4 == V2, V0 == V2; #212 ), references = 1, size of lhs = 8:
% 10.10/10.32 P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_multiply-{F}(V1,V0,V0), V1 == V0, P_multiply-{F}(V0,V2,V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V4,V4), P_inverse-{F}(V4,V5) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #228: mergings( V3 == V2, V5 == V4, V0 == V2; #213 ), references = 1, size of lhs = 7:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_multiply-{F}(V0,V1,V1), P_inverse-{F}(V1,V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #230: exists( #3, #81 ), references = 2, size of lhs = 6:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V4,V3), P_multiply-{F}(V2,V4,V5), V5 == V0, P_multiply-{F}(V2,V6,V7) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #248: exists( #2, #202 ), references = 14, size of lhs = 7:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V7,V3,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V7,V2,V10) | P_multiply-{T}(V1,V8,V10)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #252: mergings( V4 == V2; #250 ), references = 1, size of lhs = 8:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V6,V3,V5), P_multiply-{F}(V6,V2,V7), V7 == V0, P_multiply-{F}(V7,V7,V5), P_inverse-{F}(V7,V8) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #259: mergings( V0 == V3, V3 == V9, V7 == V5; #255 ), references = 1, size of lhs = 6:
% 10.10/10.32 P_multiply-{F}(V0,V0,V1), P_multiply-{F}(V0,V2,V1), V0 == V2, P_inverse-{F}(V2,V3), P_multiply-{F}(V0,V4,V1), P_inverse-{F}(V0,V5) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #275: mergings( V15 == V17, V19 == V16, V18 == V21; #271 ), references = 16, size of lhs = 14:
% 10.10/10.32 P_multiply-{F}(V0,V1,V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V0,V3,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_multiply-{F}(V7,V6,V3), P_multiply-{F}(V8,V5,V9), P_multiply-{F}(V8,V10,V11), P_multiply-{F}(V12,V9,V11), P_multiply-{F}(V12,V8,V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V7,V13,V15), P_inverse-{F}(V15,V16), P_multiply-{F}(V16,V3,V17) | P_inverse-{T}(V11,V17)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #318: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V0, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #307 ), references = 4, size of lhs = 5:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V0,V1,V3), P_multiply-{F}(V1,V1,V4), P_multiply-{F}(V4,V0,V1) | P_multiply-{T}(V1,V0,V3)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #350: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V0, V0 == V1, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #334 ), references = 1, size of lhs = 4:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), V3 == V0 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #367: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V1, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18; #351 ), references = 1, size of lhs = 3:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), V2 == V0 | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #374: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0; #368 ), references = 12, size of lhs = 1:
% 10.10/10.32 P_inverse-{F}(V0,V1) | P_inverse-{T}(V1,V0)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #378: mergings( V3 == V0; #376 ), references = 1, size of lhs = 9:
% 10.10/10.32 P_a3-{F}(V0), P_c3-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V0), P_multiply-{F}(V0,V0,V2), P_multiply-{F}(V2,V1,V0), P_b3-{F}(V3), P_multiply-{F}(V0,V3,V1), P_multiply-{F}(V3,V0,V1) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #388: exists( #2, #386 ), references = 5, size of lhs = 9:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c3-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V4,V5,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V2,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #391: exists( #2, #389 ), references = 1, size of lhs = 7:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V0,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #406: mergings( V3 == V4, V4 == V5, V5 == V9, V1 == V7, V7 == V8, V9 == V10, V10 == V0, V0 == V6; #397 ), references = 2, size of lhs = 5:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #410: exists( #3, #408 ), references = 1, size of lhs = 3:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #417: mergings( V5 == V9, V10 == V4; #414 ), references = 1, size of lhs = 20:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V3,V0), P_multiply-{F}(V4,V1,V1), P_multiply-{F}(V4,V5,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V1,V7), P_multiply-{F}(V7,V1,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V11), P_multiply-{F}(V12,V11,V1), P_multiply-{F}(V12,V13,V3), P_inverse-{F}(V13,V14), P_multiply-{F}(V15,V10,V16), P_multiply-{F}(V15,V17,V2), P_multiply-{F}(V18,V16,V2), P_multiply-{F}(V18,V15,V13) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #439: mergings( V1 == V8, V5 == V6, V6 == V7, V7 == V9, V8 == V11, V9 == V10, V10 == V12, V11 == V15, V12 == V16, V16 == V17, V17 == V0, V4 == V13, V0 == V13; #425 ), references = 1, size of lhs = 7:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V1), P_inverse-{F}(V0,V2), P_multiply-{F}(V2,V2,V1), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V3,V1) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #442: exists( #2, #440 ), references = 2, size of lhs = 10:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V6,V1,V7), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V0,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #453: exists( #2, #449 ), references = 4, size of lhs = 11:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V6,V1), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V1,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V0,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #454: exists( #2, #450 ), references = 2, size of lhs = 10:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c3-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5), P_inverse-{F}(V5,V6), P_multiply-{F}(V6,V7,V1), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V2,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #461: exists( #3, #457 ), references = 3, size of lhs = 14:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V3), P_multiply-{F}(V5,V1,V4), P_inverse-{F}(V6,V5), P_multiply-{F}(V7,V6,V1), P_inverse-{F}(V8,V7), P_multiply-{F}(V9,V2,V10), P_multiply-{F}(V11,V10,V2), P_multiply-{F}(V11,V9,V8), P_multiply-{F}(V9,V12,V13), P_inverse-{F}(V13,V14) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #479: mergings( V4 == V5, V5 == V6, V6 == V12, V1 == V8, V8 == V9, V9 == V10, V10 == V11, V12 == V13, V13 == V0, V0 == V7; #468 ), references = 2, size of lhs = 5:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V1), P_inverse-{F}(V0,V2), P_inverse-{F}(V2,V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #485: exists( #3, #482 ), references = 1, size of lhs = 3:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V1) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #487: exists( #6, #483 ), references = 1, size of lhs = 2:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #506: mergings( V22 == V0, V23 == V4; #501 ), references = 1, size of lhs = 22:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V2), P_c3-{F}(V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V4,V6), P_inverse-{F}(V6,V7), P_inverse-{F}(V0,V8), P_multiply-{F}(V9,V3,V3), P_multiply-{F}(V9,V10,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V7,V12,V1), P_multiply-{F}(V13,V14,V14), P_inverse-{F}(V14,V15), P_multiply-{F}(V13,V16,V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V18,V8,V16), P_multiply-{F}(V18,V3,V19), P_inverse-{F}(V19,V20), P_multiply-{F}(V20,V16,V12) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #509: mergings( V30 == V0, V31 == V17; #502 ), references = 2, size of lhs = 28:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V6,V1), P_multiply-{F}(V7,V0,V0), P_inverse-{F}(V8,V7), P_multiply-{F}(V9,V10,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V9,V12,V12), P_inverse-{F}(V12,V13), P_inverse-{F}(V13,V12), P_multiply-{F}(V14,V1,V13), P_inverse-{F}(V15,V14), P_multiply-{F}(V16,V15,V8), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V18,V19), P_inverse-{F}(V19,V20), P_multiply-{F}(V21,V22,V22), P_inverse-{F}(V22,V23), P_multiply-{F}(V21,V24,V24), P_inverse-{F}(V24,V25), P_multiply-{F}(V26,V17,V24), P_multiply-{F}(V26,V12,V27), P_inverse-{F}(V27,V28), P_multiply-{F}(V28,V24,V6) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #512: mergings( V24 == V0, V25 == V13; #503 ), references = 1, size of lhs = 30:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V3), P_multiply-{F}(V5,V6,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V5,V8,V8), P_inverse-{F}(V8,V9), P_inverse-{F}(V9,V8), P_multiply-{F}(V10,V1,V9), P_inverse-{F}(V11,V10), P_multiply-{F}(V12,V11,V4), P_inverse-{F}(V12,V13), P_multiply-{F}(V12,V14,V15), P_inverse-{F}(V15,V16), P_multiply-{F}(V17,V18,V18), P_inverse-{F}(V18,V19), P_multiply-{F}(V17,V20,V20), P_inverse-{F}(V20,V21), P_multiply-{F}(V22,V13,V20), P_multiply-{F}(V22,V8,V23), P_inverse-{F}(V23,V24), P_multiply-{F}(V24,V20,V25), P_multiply-{F}(V26,V25,V1), P_inverse-{F}(V27,V26), P_multiply-{F}(V28,V2,V29), P_multiply-{F}(V30,V29,V2), P_multiply-{F}(V30,V28,V27), P_multiply-{F}(V28,V31,V25) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #551: mergings( V4 == V8, V1 == V5, V5 == V6, V6 == V7, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V0, V0 == V16, V16 == V17; #534 ), references = 1, size of lhs = 6:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V2,V1), P_inverse-{F}(V0,V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #563: exists( #3, #556 ), references = 3, size of lhs = 13:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V1,V1), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V6), P_multiply-{F}(V8,V1,V9), P_multiply-{F}(V10,V9,V1), P_multiply-{F}(V10,V8,V7), P_multiply-{F}(V8,V11,V1) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #564: exists( #3, #557 ), references = 4, size of lhs = 16:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V3), P_multiply-{F}(V5,V1,V1), P_inverse-{F}(V6,V5), P_multiply-{F}(V7,V1,V8), P_multiply-{F}(V9,V8,V1), P_multiply-{F}(V9,V7,V4), P_multiply-{F}(V7,V10,V1), P_multiply-{F}(V11,V2,V12), P_multiply-{F}(V13,V12,V2), P_multiply-{F}(V13,V11,V6), P_multiply-{F}(V11,V14,V15), P_inverse-{F}(V15,V16) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #569: mergings( V10 == V16, V9 == V17, V19 == V18, V23 == V11; #562 ), references = 1, size of lhs = 22:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V6,V1), P_multiply-{F}(V7,V0,V0), P_multiply-{F}(V7,V1,V8), P_inverse-{F}(V9,V7), P_multiply-{F}(V10,V9,V9), P_multiply-{F}(V10,V11,V11), P_inverse-{F}(V11,V12), P_multiply-{F}(V10,V13,V13), P_inverse-{F}(V13,V14), P_inverse-{F}(V10,V15), P_multiply-{F}(V10,V15,V15), P_multiply-{F}(V8,V15,V6), P_inverse-{F}(V15,V10), P_multiply-{F}(V16,V15,V15), P_multiply-{F}(V16,V17,V17), P_inverse-{F}(V17,V18) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #597: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V10, V5 == V10; #586 ), references = 1, size of lhs = 7:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V0,V0,V2), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V2,V0), P_inverse-{F}(V0,V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #617: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V0, V0 == V10, V10 == V11, V11 == V9, V12 == V9; #588 ), references = 2, size of lhs = 11:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V0,V3), P_inverse-{F}(V3,V0), P_multiply-{F}(V0,V0,V3), P_multiply-{F}(V3,V3,V0), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V0,V4,V2), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V7) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #659: mergings( V1 == V5, V5 == V6, V6 == V7, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V0, V0 == V4; #648 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V0), P_inverse-{F}(V0,V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #714: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #706 ), references = 1, size of lhs = 4:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #754: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #745 ), references = 1, size of lhs = 4:
% 10.10/10.32 P_a3-{F}(V0), P_inverse-{F}(V0,V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #770: exists( #3, #764 ), references = 3, size of lhs = 4:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V3,V5,V6) | P_inverse-{T}(V2,V4)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #771: exists( #3, #765 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V4,V5,V0), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V4,V6,V7) | P_inverse-{T}(V2,V7)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #799: exists( #3, #797 ), references = 1, size of lhs = 10:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V3,V1), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V8,V2,V9), V9 == V4, P_inverse-{F}(V10,V11), P_multiply-{F}(V0,V10,V12), P_multiply-{F}(V8,V12,V10) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #801: exists( #2, #798 ), references = 3, size of lhs = 8:
% 10.10/10.32 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V3,V1), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V9), P_multiply-{F}(V0,V8,V10), P_multiply-{F}(V11,V10,V8) | P_multiply-{T}(V11,V2,V4)
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #819: mergings( V15 == V16, V8 == V6, V7 == V5, V16 == V17; #814 ), references = 1, size of lhs = 30:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V2), P_inverse-{F}(V0,V4), P_inverse-{F}(V4,V0), P_multiply-{F}(V0,V0,V4), P_multiply-{F}(V4,V4,V0), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V7,V8), P_inverse-{F}(V8,V9), P_multiply-{F}(V10,V6,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V12,V11), P_multiply-{F}(V12,V13,V14), P_inverse-{F}(V14,V15), P_multiply-{F}(V0,V13,V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V17,V2,V18), P_multiply-{F}(V15,V2,V18), P_multiply-{F}(V2,V19,V20), P_inverse-{F}(V20,V21), P_multiply-{F}(V3,V22,V23), P_inverse-{F}(V23,V24), P_multiply-{F}(V4,V25,V26), P_inverse-{F}(V26,V27), P_inverse-{F}(V28,V29), P_multiply-{F}(V12,V28,V30), P_multiply-{F}(V4,V30,V28) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #834: exists( #2, #832 ), references = 1, size of lhs = 16:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V1,V7), P_multiply-{F}(V7,V8,V9), P_inverse-{F}(V9,V10), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V6,V8,V12), P_inverse-{F}(V12,V13), P_multiply-{F}(V13,V0,V11), P_multiply-{F}(V0,V14,V15), P_inverse-{F}(V15,V16) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #841: mergings( V7 == V8, V12 == V15, V13 == V16; #837 ), references = 1, size of lhs = 13:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V1,V4), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V1,V8), P_multiply-{F}(V4,V9,V10), P_inverse-{F}(V10,V11), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V0,V13,V14), P_inverse-{F}(V14,V15) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #854: mergings( V6 == V7, V7 == V8, V8 == V10, V10 == V2, V13 == V12; #848 ), references = 1, size of lhs = 17:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V0,V4), P_inverse-{F}(V4,V0), P_multiply-{F}(V0,V0,V5), P_multiply-{F}(V1,V6,V0), P_inverse-{F}(V6,V7), P_inverse-{F}(V7,V6), P_multiply-{F}(V1,V8,V0), P_inverse-{F}(V9,V8), P_multiply-{F}(V8,V10,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V14), P_multiply-{F}(V7,V13,V15), P_multiply-{F}(V3,V15,V13) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #860: mergings( V7 == V8, V8 == V0, V0 == V1, V11 == V10; #855 ), references = 1, size of lhs = 16:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V0,V4), P_inverse-{F}(V4,V0), P_multiply-{F}(V1,V5,V0), P_inverse-{F}(V5,V6), P_inverse-{F}(V6,V5), P_multiply-{F}(V1,V7,V0), P_inverse-{F}(V8,V7), P_multiply-{F}(V7,V9,V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V12,V13), P_multiply-{F}(V6,V12,V14), P_multiply-{F}(V3,V14,V12) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #891: mergings( V0 == V4, V4 == V5, V5 == V6; #885 ), references = 1, size of lhs = 4:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_inverse-{F}(V1,V1), P_c3-{F}(V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #927: mergings( V5 == V6, V0 == V7, V7 == V8, V6 == V1; #920 ), references = 1, size of lhs = 5:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #930: exists( #3, #928 ), references = 1, size of lhs = 3:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #932: exists( #6, #929 ), references = 1, size of lhs = 2:
% 10.10/10.32 P_a3-{F}(V0), P_b3-{F}(V1) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #934: exists( #5, #931 ), references = 1, size of lhs = 1:
% 10.10/10.32 P_a3-{F}(V0) | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 #936: exists( #4, #933 ), references = 1, size of lhs = 0:
% 10.10/10.32 FALSE | FALSE
% 10.10/10.32 (used 0 times, uses = {})
% 10.10/10.32
% 10.10/10.32 number of learnt formulas = 90
% 10.10/10.32
% 10.10/10.32
% 10.10/10.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.10/10.32
% 10.10/10.32 randbase = 1
%------------------------------------------------------------------------------