TSTP Solution File: GRP492-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:03:59 EDT 2022
% Result : Unsatisfiable 117.87s 118.11s
% Output : Refutation 117.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 14:07:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 117.87/118.11 GeoParameters:
% 117.87/118.11
% 117.87/118.11 tptp_input = 1
% 117.87/118.11 tptp_output = 0
% 117.87/118.11 nonempty = 1
% 117.87/118.11 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.87/118.11 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 117.87/118.11
% 117.87/118.11
% 117.87/118.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.87/118.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.87/118.11
% 117.87/118.11 RuleSystem INPUT:
% 117.87/118.11
% 117.87/118.11 Initial Rules:
% 117.87/118.11 #0: input, references = 12, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V4), P_double_divide-{F}(V1,V2,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V3,V2,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V4,V9,V10), V10 == V3 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1: input, references = 7, size of lhs = 5:
% 117.87/118.11 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V4,V0,V5), V3 == V5 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #2: input, references = 5, size of lhs = 4:
% 117.87/118.11 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #3: input, references = 5, size of lhs = 4:
% 117.87/118.11 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #4: input, references = 10, size of lhs = 8:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V7), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V6,V7) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #5: input, references = 22, size of lhs = 2:
% 117.87/118.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #6: input, references = 4, size of lhs = 0:
% 117.87/118.11 FALSE | EXISTS V0: P_identity-{T}(V0)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #7: input, references = 18, size of lhs = 2:
% 117.87/118.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #8: input, references = 22, size of lhs = 1:
% 117.87/118.11 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #9: input, references = 4, size of lhs = 0:
% 117.87/118.11 FALSE | EXISTS V0: P_a3-{T}(V0)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #10: input, references = 5, size of lhs = 0:
% 117.87/118.11 FALSE | EXISTS V0: P_b3-{T}(V0)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #11: input, references = 8, size of lhs = 0:
% 117.87/118.11 FALSE | EXISTS V0: P_c3-{T}(V0)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 number of initial rules = 12
% 117.87/118.11
% 117.87/118.11 Simplifiers:
% 117.87/118.11 #12: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #13: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #14: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #15: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #16: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #17: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #18: unsound, references = 3, size of lhs = 3:
% 117.87/118.11 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 number of simplifiers = 7
% 117.87/118.11
% 117.87/118.11 Learnt:
% 117.87/118.11 #20: exists( #5, #3 ), references = 64, size of lhs = 2:
% 117.87/118.11 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #22: exists( #5, #2 ), references = 14, size of lhs = 2:
% 117.87/118.11 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #27: exists( #8, #25 ), references = 45, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #38: exists( #7, #1 ), references = 14, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #41: exists( #5, #1 ), references = 55, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4) | P_double_divide-{T}(V4,V0,V3)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #48: exists( #5, #0 ), references = 59, size of lhs = 7:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V0,V8,V9) | P_double_divide-{T}(V2,V9,V6)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #71: mergings( V12 == V13, V3 == V4, V4 == V5, V5 == V6; #66 ), references = 3, size of lhs = 8:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V5,V0,V6), V4 == V6, P_double_divide-{F}(V7,V8,V6) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #77: mergings( V9 == V12, V3 == V4, V4 == V5, V5 == V6; #72 ), references = 5, size of lhs = 6:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V7,V5) | P_double_divide-{T}(V3,V1,V5)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #90: mergings( V13 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #82 ), references = 2, size of lhs = 8:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V0,V5,V3), P_double_divide-{F}(V5,V1,V6), P_double_divide-{F}(V6,V0,V4), P_double_divide-{F}(V7,V8,V4) | P_multiply-{T}(V8,V7,V3)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #106: mergings( V3 == V4, V4 == V5, V5 == V6; #101 ), references = 10, size of lhs = 2:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #116: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #111 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #126: mergings( V5 == V9, V0 == V4; #122 ), references = 5, size of lhs = 7:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V6,V7,V3) | P_double_divide-{T}(V0,V2,V5)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #127: exists( #5, #121 ), references = 1, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V3,V1,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V5,V2), P_double_divide-{F}(V8,V9,V5) | P_double_divide-{T}(V0,V3,V5)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #138: exists( #5, #135 ), references = 3, size of lhs = 11:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V9,V2), P_double_divide-{F}(V10,V6,V9), V10 == V5, P_double_divide-{F}(V11,V12,V5) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #139: exists( #5, #134 ), references = 3, size of lhs = 11:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V7,V5), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V11,V2), P_double_divide-{F}(V12,V8,V11), V5 == V12 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #144: exists( #7, #140 ), references = 28, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V11,V7,V10) | P_multiply-{T}(V6,V5,V11)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #145: exists( #7, #141 ), references = 1, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V11,V7,V10) | P_multiply-{T}(V6,V5,V11)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #153: mergings( V2 == V3, V4 == V6, V3 == V5; #149 ), references = 1, size of lhs = 8:
% 117.87/118.11 P_a3-{F}(V0), P_b3-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_c3-{F}(V1), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #160: mergings( V2 == V3; #158 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0), P_c3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #163: mergings( V1 == V2; #161 ), references = 1, size of lhs = 3:
% 117.87/118.11 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #185: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9, V6 == V8; #179 ), references = 1, size of lhs = 9:
% 117.87/118.11 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_double_divide-{F}(V0,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V2,V1,V5) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #192: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9, V6 == V8; #186 ), references = 1, size of lhs = 8:
% 117.87/118.11 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_double_divide-{F}(V0,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V4,V3) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #206: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V13, V5 == V7, V8 == V11, V11 == V13, V12 == V14, V7 == V9; #196 ), references = 1, size of lhs = 7:
% 117.87/118.11 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2), P_double_divide-{F}(V0,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V4,V3) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #213: mergings( V2 == V3, V3 == V4; #210 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #217: mergings( V1 == V2, V2 == V3; #214 ), references = 1, size of lhs = 3:
% 117.87/118.11 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #221: mergings( V1 == V2, V2 == V3; #218 ), references = 1, size of lhs = 2:
% 117.87/118.11 P_a3-{F}(V0), P_identity-{F}(V0) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #250: mergings( V8 == V9, V0 == V3, V3 == V4; #244 ), references = 41, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V9,V5) | P_double_divide-{T}(V0,V2,V5)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #254: mergings( V8 == V9, V0 == V3, V3 == V4; #245 ), references = 1, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V9,V5) | P_double_divide-{T}(V0,V2,V5)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #292: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7, V7 == V8; #284 ), references = 2, size of lhs = 9:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V4,V1,V5), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V8,V6,V7), V5 == V8 | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #298: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5, V7 == V8; #285 ), references = 2, size of lhs = 10:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V8,V6,V7), V8 == V5, P_double_divide-{F}(V9,V10,V5) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #304: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5, V7 == V8; #286 ), references = 1, size of lhs = 10:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V8,V6,V7), V5 == V8, P_double_divide-{F}(V9,V10,V5) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #334: mergings( V7 == V8, V3 == V4, V4 == V5, V5 == V6, V9 == V10, V6 == V8, V8 == V10, V10 == V11; #325 ), references = 1, size of lhs = 17:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V1), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V2,V4,V3), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V0,V5,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V11,V8,V6), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V10,V13), V13 == V6, P_double_divide-{F}(V14,V15,V6), P_double_divide-{F}(V16,V17,V6) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #431: mergings( V7 == V8, V8 == V9, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V9, V9 == V11, V11 == V12; #419 ), references = 1, size of lhs = 13:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V5,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V0,V11,V9), P_double_divide-{F}(V12,V13,V7) | P_multiply-{T}(V13,V12,V7)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #441: mergings( V7 == V8, V16 == V17, V3 == V4, V4 == V5, V5 == V6, V9 == V10, V6 == V8, V8 == V10, V10 == V11; #420 ), references = 1, size of lhs = 15:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V3,V6,V1), P_double_divide-{F}(V5,V7,V2), P_double_divide-{F}(V8,V6,V9), P_double_divide-{F}(V0,V8,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V7,V11,V12), P_double_divide-{F}(V5,V12,V13), P_double_divide-{F}(V0,V13,V11), P_double_divide-{F}(V14,V15,V9) | P_multiply-{T}(V15,V14,V9)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #452: mergings( V7 == V8, V8 == V9, V9 == V10, V3 == V4, V4 == V5, V5 == V6, V11 == V12, V6 == V10, V10 == V12, V12 == V13; #421 ), references = 1, size of lhs = 13:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V5,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V0,V11,V9), P_double_divide-{F}(V12,V13,V7) | P_multiply-{T}(V13,V12,V7)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #490: mergings( V7 == V8, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V8, V8 == V11, V11 == V12, V12 == V9; #480 ), references = 5, size of lhs = 19:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V5,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V12,V9,V13), P_double_divide-{F}(V4,V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V16,V15,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V12,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V17,V21,V22) | P_multiply-{T}(V11,V10,V22)
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #512: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V17, V17 == V9; #504 ), references = 1, size of lhs = 43:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_multiply-{F}(V2,V4,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V8,V0,V0), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V0,V10,V1), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V8), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V20,V0,V17), P_double_divide-{F}(V21,V19,V22), P_double_divide-{F}(V13,V22,V23), P_double_divide-{F}(V0,V23,V24), P_double_divide-{F}(V16,V24,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V21,V15), P_double_divide-{F}(V0,V27,V28), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V27,V30,V20), P_double_divide-{F}(V31,V30,V14), P_double_divide-{F}(V0,V31,V32), P_double_divide-{F}(V0,V32,V33), P_double_divide-{F}(V34,V33,V35), P_double_divide-{F}(V29,V35,V36), P_double_divide-{F}(V0,V36,V37), P_double_divide-{F}(V38,V0,V37), P_double_divide-{F}(V0,V34,V39), P_double_divide-{F}(V7,V39,V40), P_double_divide-{F}(V40,V0,V41), P_double_divide-{F}(V41,V38,V10), P_double_divide-{F}(V5,V37,V42), P_double_divide-{F}(V42,V0,V43), P_double_divide-{F}(V43,V34,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #558: mergings( V9 == V10, V27 == V28, V3 == V4, V4 == V5, V5 == V6, V19 == V20, V6 == V7, V7 == V8, V8 == V10, V10 == V20, V20 == V21, V21 == V11; #545 ), references = 3, size of lhs = 31:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_multiply-{F}(V2,V4,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V0,V8,V1), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V15,V14,V16), P_double_divide-{F}(V0,V15,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V19,V20,V16), P_double_divide-{F}(V21,V18,V22), P_double_divide-{F}(V13,V22,V23), P_double_divide-{F}(V0,V23,V24), P_double_divide-{F}(V7,V24,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V21,V8), P_double_divide-{F}(V27,V18,V28), P_double_divide-{F}(V13,V28,V29), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V5,V30,V31), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V27,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #572: mergings( V9 == V10, V27 == V28, V3 == V4, V4 == V5, V5 == V6, V19 == V20, V6 == V7, V7 == V8, V8 == V10, V10 == V20, V20 == V21, V21 == V11; #559 ), references = 2, size of lhs = 31:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_multiply-{F}(V2,V4,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V0,V8,V1), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V15,V14,V16), P_double_divide-{F}(V0,V15,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V19,V20,V16), P_double_divide-{F}(V21,V18,V22), P_double_divide-{F}(V13,V22,V23), P_double_divide-{F}(V0,V23,V24), P_double_divide-{F}(V7,V24,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V21,V8), P_double_divide-{F}(V27,V18,V28), P_double_divide-{F}(V13,V28,V29), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V5,V30,V31), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V27,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #586: mergings( V9 == V10, V27 == V28, V3 == V4, V4 == V5, V5 == V6, V19 == V20, V6 == V7, V7 == V8, V8 == V10, V10 == V20, V20 == V21, V21 == V11; #573 ), references = 3, size of lhs = 29:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_multiply-{F}(V2,V4,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V0,V8,V1), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V18,V17,V19), P_double_divide-{F}(V13,V19,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V7,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V18,V8), P_double_divide-{F}(V24,V17,V25), P_double_divide-{F}(V13,V25,V26), P_double_divide-{F}(V0,V26,V27), P_double_divide-{F}(V5,V27,V28), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V29,V24,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #618: mergings( V11 == V12, V12 == V13, V18 == V19, V2 == V3, V3 == V4, V4 == V5, V13 == V19, V19 == V20, V5 == V6, V6 == V7, V7 == V8, V16 == V20, V17 == V20, V8 == V9, V9 == V10, V15 == V20, V10 == V20, V20 == V14; #599 ), references = 1, size of lhs = 27:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V1), P_double_divide-{F}(V1,V1,V2), P_double_divide-{F}(V0,V3,V1), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V0,V5,V1), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V8,V0,V0), P_double_divide-{F}(V4,V9,V8), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V12,V13,V2), P_double_divide-{F}(V14,V13,V7), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V18,V2), P_double_divide-{F}(V6,V19,V0), P_double_divide-{F}(V18,V19,V0), P_double_divide-{F}(V0,V20,V19), P_double_divide-{F}(V0,V21,V20), P_double_divide-{F}(V22,V23,V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #638: mergings( V11 == V12, V12 == V13, V18 == V19, V2 == V3, V3 == V4, V4 == V5, V13 == V19, V19 == V20, V5 == V6, V6 == V7, V7 == V8, V16 == V20, V17 == V20, V8 == V9, V9 == V10, V15 == V20, V10 == V20, V20 == V14; #619 ), references = 1, size of lhs = 23:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V1), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V0,V8,V1), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V11,V1,V10), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V13,V0,V1), P_double_divide-{F}(V9,V14,V0), P_double_divide-{F}(V1,V14,V0), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V0,V16,V15) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #668: mergings( V11 == V19, V19 == V20, V20 == V12, V12 == V13, V13 == V15, V15 == V14, V14 == V21, V21 == V22, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V17 == V22, V18 == V22, V8 == V9, V9 == V10, V10 == V22, V22 == V16; #647 ), references = 1, size of lhs = 5:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #679: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #672 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #738: mergings( V5 == V6, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V7; #731 ), references = 1, size of lhs = 7:
% 117.87/118.11 P_c3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V2,V0,V2), P_double_divide-{F}(V2,V1,V3) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #746: mergings( V5 == V6, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V7; #739 ), references = 1, size of lhs = 6:
% 117.87/118.11 P_c3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V2,V0,V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #769: mergings( V7 == V8, V8 == V9, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V12 == V14, V13 == V15, V6 == V9, V9 == V14, V14 == V15, V15 == V10; #756 ), references = 1, size of lhs = 5:
% 117.87/118.11 P_c3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #777: mergings( V2 == V3, V3 == V4, V4 == V5; #773 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_c3-{F}(V0), P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #876: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V18, V18 == V9; #866 ), references = 1, size of lhs = 47:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V0,V7,V2), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V0,V0), P_double_divide-{F}(V0,V10,V1), P_double_divide-{F}(V0,V11,V4), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V13,V16,V9), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V22,V0,V19), P_double_divide-{F}(V23,V21,V24), P_double_divide-{F}(V15,V24,V25), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V18,V26,V27), P_double_divide-{F}(V27,V0,V28), P_double_divide-{F}(V28,V23,V17), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V29,V32,V22), P_double_divide-{F}(V33,V32,V16), P_double_divide-{F}(V0,V33,V34), P_double_divide-{F}(V0,V34,V35), P_double_divide-{F}(V7,V35,V36), P_double_divide-{F}(V31,V36,V37), P_double_divide-{F}(V0,V37,V30), P_double_divide-{F}(V0,V38,V35), P_double_divide-{F}(V39,V0,V40), P_double_divide-{F}(V39,V30,V41), P_double_divide-{F}(V8,V41,V42), P_double_divide-{F}(V0,V42,V43), P_double_divide-{F}(V6,V43,V44), P_double_divide-{F}(V40,V44,V10), P_double_divide-{F}(V12,V43,V45), P_double_divide-{F}(V45,V0,V46), P_double_divide-{F}(V46,V39,V38) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #883: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V16, V8 == V17; #867 ), references = 1, size of lhs = 58:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V2), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V7,V1), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V1,V9), P_double_divide-{F}(V5,V9,V10), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V0,V12,V4), P_double_divide-{F}(V0,V13,V12), P_double_divide-{F}(V0,V14,V3), P_double_divide-{F}(V15,V0,V0), P_double_divide-{F}(V16,V0,V0), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V17,V18,V15), P_double_divide-{F}(V0,V19,V9), P_double_divide-{F}(V8,V20,V14), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V0,V23,V20), P_double_divide-{F}(V24,V0,V20), P_double_divide-{F}(V0,V25,V4), P_double_divide-{F}(V0,V26,V25), P_double_divide-{F}(V27,V0,V25), P_double_divide-{F}(V25,V0,V28), P_double_divide-{F}(V28,V10,V29), P_double_divide-{F}(V0,V29,V25), P_double_divide-{F}(V26,V30,V24), P_double_divide-{F}(V7,V30,V31), P_double_divide-{F}(V32,V31,V11), P_double_divide-{F}(V0,V32,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V27,V31,V35), P_double_divide-{F}(V13,V31,V36), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V37,V38,V19), P_double_divide-{F}(V38,V0,V39), P_double_divide-{F}(V38,V25,V40), P_double_divide-{F}(V6,V40,V41), P_double_divide-{F}(V0,V41,V31), P_double_divide-{F}(V39,V35,V42), P_double_divide-{F}(V0,V42,V43), P_double_divide-{F}(V0,V38,V44), P_double_divide-{F}(V0,V44,V43), P_double_divide-{F}(V0,V45,V31), P_double_divide-{F}(V0,V46,V45), P_double_divide-{F}(V0,V47,V31), P_double_divide-{F}(V48,V22,V49), P_double_divide-{F}(V34,V49,V50), P_double_divide-{F}(V0,V50,V51), P_double_divide-{F}(V23,V51,V52), P_double_divide-{F}(V52,V0,V53), P_double_divide-{F}(V53,V48,V47) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #890: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V16, V8 == V17; #868 ), references = 1, size of lhs = 59:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V2), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V7,V1), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V1,V9), P_double_divide-{F}(V5,V9,V10), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V0,V12,V4), P_double_divide-{F}(V0,V13,V12), P_double_divide-{F}(V0,V14,V3), P_double_divide-{F}(V15,V0,V0), P_double_divide-{F}(V16,V0,V0), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V17,V18,V15), P_double_divide-{F}(V0,V19,V9), P_double_divide-{F}(V8,V20,V14), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V0,V23,V20), P_double_divide-{F}(V24,V0,V20), P_double_divide-{F}(V0,V25,V4), P_double_divide-{F}(V0,V26,V25), P_double_divide-{F}(V27,V0,V25), P_double_divide-{F}(V25,V0,V28), P_double_divide-{F}(V29,V18,V25), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V0,V30,V31), P_double_divide-{F}(V27,V31,V32), P_double_divide-{F}(V13,V31,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V28,V10,V35), P_double_divide-{F}(V0,V35,V25), P_double_divide-{F}(V34,V36,V19), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V36,V25,V38), P_double_divide-{F}(V6,V38,V39), P_double_divide-{F}(V0,V39,V31), P_double_divide-{F}(V37,V32,V40), P_double_divide-{F}(V0,V40,V41), P_double_divide-{F}(V0,V36,V42), P_double_divide-{F}(V0,V42,V41), P_double_divide-{F}(V43,V31,V11), P_double_divide-{F}(V0,V43,V44), P_double_divide-{F}(V44,V0,V45), P_double_divide-{F}(V26,V46,V24), P_double_divide-{F}(V7,V46,V31), P_double_divide-{F}(V0,V47,V31), P_double_divide-{F}(V48,V22,V49), P_double_divide-{F}(V45,V49,V50), P_double_divide-{F}(V0,V50,V51), P_double_divide-{F}(V23,V51,V52), P_double_divide-{F}(V52,V0,V53), P_double_divide-{F}(V53,V48,V47) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #974: mergings( V7 == V8, V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V13, V13 == V14; #963 ), references = 1, size of lhs = 25:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V0,V7,V1), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V13,V15,V6), P_double_divide-{F}(V8,V16,V15), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V0,V18,V17), P_double_divide-{F}(V19,V16,V20), P_double_divide-{F}(V13,V20,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V5,V22,V23), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V24,V19,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #983: mergings( V7 == V8, V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V13, V13 == V14; #964 ), references = 1, size of lhs = 27:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V0,V7,V1), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V13,V15,V6), P_double_divide-{F}(V8,V16,V15), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V0,V18,V17), P_double_divide-{F}(V18,V14,V19), P_double_divide-{F}(V20,V21,V19), P_double_divide-{F}(V22,V16,V23), P_double_divide-{F}(V13,V23,V24), P_double_divide-{F}(V0,V24,V25), P_double_divide-{F}(V5,V25,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V27,V22,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #992: mergings( V7 == V8, V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V13, V13 == V14; #965 ), references = 1, size of lhs = 27:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V0,V7,V1), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V0,V9,V3), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V13,V15,V6), P_double_divide-{F}(V8,V16,V15), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V0,V18,V17), P_double_divide-{F}(V18,V14,V19), P_double_divide-{F}(V20,V21,V19), P_double_divide-{F}(V22,V16,V23), P_double_divide-{F}(V13,V23,V24), P_double_divide-{F}(V0,V24,V25), P_double_divide-{F}(V5,V25,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V27,V22,V9) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1004: mergings( V7 == V8, V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V13, V13 == V14; #993 ), references = 2, size of lhs = 23:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V0,V6,V1), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V0,V8,V3), P_double_divide-{F}(V9,V0,V0), P_double_divide-{F}(V10,V0,V4), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V11,V12,V9), P_double_divide-{F}(V7,V13,V2), P_double_divide-{F}(V0,V14,V13), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V16,V13,V17), P_double_divide-{F}(V4,V17,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V5,V19,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V16,V8) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1035: mergings( V11 == V12, V12 == V13, V13 == V21, V18 == V19, V21 == V26, V26 == V27, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V27 == V19, V19 == V20, V8 == V9, V9 == V10, V10 == V20; #1018 ), references = 1, size of lhs = 20:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_double_divide-{F}(V0,V3,V2), P_c3-{F}(V4), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V9,V1), P_double_divide-{F}(V0,V10,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V8,V11,V9), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V13,V14,V4), P_double_divide-{F}(V12,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V2,V15,V18), P_double_divide-{F}(V17,V18,V4) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1103: mergings( V5 == V6, V6 == V11, V11 == V12, V2 == V3, V3 == V4, V10 == V12, V4 == V12; #1095 ), references = 1, size of lhs = 14:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V1), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V0,V7,V3), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V6,V9,V2), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V0,V11,V10) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1132: mergings( V10 == V17, V17 == V18, V18 == V11, V11 == V12, V12 == V19, V19 == V24, V24 == V25, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V25; #1117 ), references = 2, size of lhs = 20:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_double_divide-{F}(V0,V3,V2), P_c3-{F}(V4), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V9,V1), P_double_divide-{F}(V0,V10,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V8,V11,V9), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V12,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V2,V13,V16), P_double_divide-{F}(V15,V16,V17), P_double_divide-{F}(V18,V19,V17) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1148: mergings( V10 == V17, V17 == V18, V18 == V11, V11 == V12, V12 == V19, V19 == V24, V24 == V25, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V25; #1133 ), references = 4, size of lhs = 18:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_double_divide-{F}(V0,V3,V2), P_c3-{F}(V4), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V9,V1), P_double_divide-{F}(V0,V10,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V8,V11,V9), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V12,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V2,V13,V16) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1186: mergings( V5 == V6, V2 == V3, V3 == V4, V6 == V8, V8 == V9, V4 == V9; #1179 ), references = 1, size of lhs = 5:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1192: mergings( V2 == V3; #1190 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1195: mergings( V1 == V2; #1193 ), references = 1, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1239: mergings( V5 == V6, V6 == V9, V9 == V10, V2 == V3, V3 == V4, V12 == V13, V4 == V10, V10 == V13, V13 == V14; #1228 ), references = 1, size of lhs = 8:
% 117.87/118.11 P_identity-{F}(V0), P_b3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V0,V2,V0), P_c3-{F}(V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V4,V0,V0) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1248: mergings( V5 == V6, V6 == V9, V9 == V10, V2 == V3, V3 == V4, V10 == V12, V12 == V13, V4 == V13; #1229 ), references = 1, size of lhs = 8:
% 117.87/118.11 P_identity-{F}(V0), P_b3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V0,V2,V0), P_c3-{F}(V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V4,V0,V0) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1258: mergings( V2 == V3; #1255 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_identity-{F}(V0), P_b3-{F}(V0), P_a3-{F}(V1), P_c3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1262: mergings( V1 == V2; #1259 ), references = 1, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_b3-{F}(V0), P_a3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1314: mergings( V5 == V6, V2 == V3, V3 == V4, V9 == V10, V4 == V6, V6 == V10, V10 == V11, V13 == V12; #1305 ), references = 1, size of lhs = 10:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V0,V4,V1), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V0,V8) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1336: mergings( V8 == V9, V9 == V10, V2 == V3, V3 == V4, V4 == V5, V13 == V15, V14 == V16, V5 == V6, V6 == V7, V10 == V15, V15 == V16, V7 == V16; #1323 ), references = 1, size of lhs = 5:
% 117.87/118.11 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1343: mergings( V2 == V3, V3 == V4; #1340 ), references = 1, size of lhs = 4:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1347: mergings( V1 == V2, V2 == V3; #1344 ), references = 1, size of lhs = 3:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1351: mergings( V1 == V2, V2 == V3; #1348 ), references = 1, size of lhs = 2:
% 117.87/118.11 P_identity-{F}(V0), P_a3-{F}(V1) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1355: mergings( V1 == V2, V2 == V3; #1352 ), references = 1, size of lhs = 1:
% 117.87/118.11 P_identity-{F}(V0) | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 #1357: exists( #6, #1352 ), references = 1, size of lhs = 0:
% 117.87/118.11 FALSE | FALSE
% 117.87/118.11 (used 0 times, uses = {})
% 117.87/118.11
% 117.87/118.11 number of learnt formulas = 73
% 117.87/118.11
% 117.87/118.11
% 117.87/118.11 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.87/118.11
% 117.87/118.11 randbase = 1
%------------------------------------------------------------------------------