TSTP Solution File: GRP584-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:04:09 EDT 2022
% Result : Unsatisfiable 9.44s 9.62s
% Output : Refutation 9.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 13:56:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 9.44/9.62 GeoParameters:
% 9.44/9.62
% 9.44/9.62 tptp_input = 1
% 9.44/9.62 tptp_output = 0
% 9.44/9.62 nonempty = 1
% 9.44/9.62 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.62 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.44/9.62
% 9.44/9.62
% 9.44/9.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.62
% 9.44/9.62 RuleSystem INPUT:
% 9.44/9.62
% 9.44/9.62 Initial Rules:
% 9.44/9.62 #0: input, references = 14, size of lhs = 9:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V3,V5), P_double_divide-{F}(V3,V2,V6), P_double_divide-{F}(V4,V6,V7), P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V1,V10), V10 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #1: input, references = 5, size of lhs = 6:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), V4 == V6 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #2: input, references = 6, size of lhs = 5:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V0,V4), V3 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #3: input, references = 4, size of lhs = 5:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V3,V4), V0 == V4 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #4: input, references = 7, size of lhs = 6:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V5), P_multiply-{F}(V3,V2,V5) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #5: input, references = 14, size of lhs = 2:
% 9.44/9.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #6: input, references = 4, size of lhs = 0:
% 9.44/9.62 FALSE | EXISTS V0: P_identity-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #7: input, references = 18, size of lhs = 2:
% 9.44/9.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #8: input, references = 11, size of lhs = 1:
% 9.44/9.62 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #9: input, references = 4, size of lhs = 0:
% 9.44/9.62 FALSE | EXISTS V0: P_a-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #10: input, references = 5, size of lhs = 0:
% 9.44/9.62 FALSE | EXISTS V0: P_b-{T}(V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 number of initial rules = 11
% 9.44/9.62
% 9.44/9.62 Simplifiers:
% 9.44/9.62 #11: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #12: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #13: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #14: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #15: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #16: unsound, references = 3, size of lhs = 3:
% 9.44/9.62 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 number of simplifiers = 6
% 9.44/9.62
% 9.44/9.62 Learnt:
% 9.44/9.62 #19: exists( #5, #2 ), references = 5, size of lhs = 2:
% 9.44/9.62 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #20: exists( #5, #3 ), references = 2, size of lhs = 4:
% 9.44/9.62 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #24: exists( #5, #20 ), references = 23, size of lhs = 2:
% 9.44/9.62 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #25: exists( #5, #2 ), references = 50, size of lhs = 3:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #29: exists( #8, #27 ), references = 3, size of lhs = 5:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1), P_multiply-{F}(V4,V3,V5), V5 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #31: exists( #7, #28 ), references = 2, size of lhs = 3:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #37: exists( #7, #4 ), references = 1, size of lhs = 4:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #40: exists( #8, #38 ), references = 1, size of lhs = 3:
% 9.44/9.62 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #58: mergings( V2 == V3, V3 == V5, V4 == V6; #52 ), references = 2, size of lhs = 7:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V1,V6), V6 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #59: exists( #8, #49 ), references = 49, size of lhs = 4:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V4), P_multiply-{F}(V3,V2,V5) | P_inverse-{T}(V4,V5)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #63: exists( #8, #61 ), references = 1, size of lhs = 1:
% 9.44/9.62 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #80: mergings( V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V9; #74 ), references = 2, size of lhs = 8:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V2,V4,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V1,V6), V6 == V3, P_double_divide-{F}(V7,V8,V3) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #87: mergings( V3 == V5, V5 == V6, V4 == V7, V6 == V0, V7 == V8; #81 ), references = 15, size of lhs = 5:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V1,V5) | P_double_divide-{T}(V0,V2,V5)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #109: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7; #103 ), references = 15, size of lhs = 7:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V8,V2) | P_multiply-{T}(V6,V5,V2)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #114: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7; #104 ), references = 16, size of lhs = 8:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V9,V10,V8) | P_multiply-{T}(V10,V9,V5)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #131: mergings( V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V8, V8 == V9, V9 == V10; #123 ), references = 1, size of lhs = 10:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V4,V1,V0), P_double_divide-{F}(V3,V5,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V0,V7), V7 == V0, P_double_divide-{F}(V8,V9,V2) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #147: mergings( V8 == V11, V0 == V12, V14 == V17, V3 == V5, V4 == V6, V5 == V7, V7 == V11, V6 == V9, V11 == V10, V9 == V10, V10 == V12; #135 ), references = 2, size of lhs = 10:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V1,V5,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V0,V7), V7 == V0, P_double_divide-{F}(V8,V9,V3) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #164: mergings( V10 == V13, V14 == V15, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V9 == V13, V8 == V11, V13 == V12, V11 == V12, V12 == V15; #151 ), references = 1, size of lhs = 6:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V3,V1,V2), P_double_divide-{F}(V4,V5,V2) | P_multiply-{T}(V5,V4,V0)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #187: mergings( V10 == V13, V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V15; #177 ), references = 1, size of lhs = 6:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V0,V3), P_double_divide-{F}(V4,V5,V3) | P_double_divide-{T}(V0,V1,V3)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #217: mergings( V5 == V6, V6 == V11, V3 == V11, V4 == V11, V11 == V7, V7 == V8, V8 == V9, V9 == V10; #208 ), references = 3, size of lhs = 13:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V9,V5), P_double_divide-{F}(V1,V10,V11), P_double_divide-{F}(V12,V11,V5), P_double_divide-{F}(V10,V0,V13), P_double_divide-{F}(V13,V0,V14), V14 == V12 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #246: mergings( V5 == V6, V9 == V6, V6 == V10, V3 == V7, V4 == V8, V7 == V10, V8 == V10; #237 ), references = 2, size of lhs = 11:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V5,V3,V0), P_double_divide-{F}(V0,V5,V6), V6 == V1, P_double_divide-{F}(V6,V4,V0), P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V9,V10,V6) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #256: mergings( V5 == V6, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #238 ), references = 1, size of lhs = 13:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V9,V2), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V11,V13,V5), P_double_divide-{F}(V14,V12,V13), V2 == V14 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #297: mergings( V5 == V6, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #286 ), references = 4, size of lhs = 11:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V8,V3,V10), P_double_divide-{F}(V9,V11,V0), P_double_divide-{F}(V12,V10,V11), V12 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #307: mergings( V5 == V6, V11 == V12, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12; #287 ), references = 3, size of lhs = 11:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V8,V3,V10), P_double_divide-{F}(V9,V11,V0), P_double_divide-{F}(V12,V10,V11), V12 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #319: mergings( V5 == V6, V13 == V14, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14; #288 ), references = 1, size of lhs = 11:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V8,V3,V10), P_double_divide-{F}(V9,V11,V0), P_double_divide-{F}(V12,V10,V11), V12 == V2 | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #397: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #384 ), references = 1, size of lhs = 16:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V1,V0), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V7,V9,V3), P_double_divide-{F}(V10,V8,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V14,V10,V13), V0 == V14, P_double_divide-{F}(V15,V16,V11), P_double_divide-{F}(V17,V18,V13) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #411: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #398 ), references = 1, size of lhs = 16:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V1,V0), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V7,V9,V3), P_double_divide-{F}(V10,V8,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V14,V10,V13), V0 == V14, P_double_divide-{F}(V15,V16,V11), P_double_divide-{F}(V17,V18,V13) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #431: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #423 ), references = 9, size of lhs = 11:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V5,V8,V9), P_double_divide-{F}(V9,V4,V10), P_double_divide-{F}(V2,V10,V11), P_double_divide-{F}(V8,V7,V12), P_double_divide-{F}(V12,V0,V13) | P_double_divide-{T}(V3,V11,V13)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #435: mergings( V3 == V4, V4 == V5, V5 == V6; #424 ), references = 1, size of lhs = 13:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V5,V0,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V8,V0), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V9,V0), P_double_divide-{F}(V12,V13,V8), P_double_divide-{F}(V14,V15,V11) | P_double_divide-{T}(V3,V7,V11)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #442: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V8; #425 ), references = 1, size of lhs = 11:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V5,V7,V0), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V11,V12,V7), P_double_divide-{F}(V13,V14,V6) | P_double_divide-{T}(V3,V10,V6)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #480: mergings( V5 == V6, V16 == V6, V3 == V7, V4 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V13 == V14, V12 == V15, V14 == V6, V15 == V6; #464 ), references = 1, size of lhs = 20:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V6,V0), P_double_divide-{F}(V7,V6,V5), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V12,V3), P_double_divide-{F}(V13,V14,V5), P_double_divide-{F}(V1,V15,V16), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V18,V21,V17), P_double_divide-{F}(V21,V20,V10), P_double_divide-{F}(V22,V23,V6) | P_multiply-{T}(V12,V11,V15)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #494: mergings( V5 == V6, V16 == V6, V3 == V7, V4 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V13 == V14, V12 == V15, V14 == V6, V15 == V6; #465 ), references = 1, size of lhs = 20:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V6,V0), P_double_divide-{F}(V7,V6,V5), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V12,V3), P_double_divide-{F}(V13,V14,V5), P_double_divide-{F}(V1,V15,V16), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V18,V21,V17), P_double_divide-{F}(V21,V20,V10), P_double_divide-{F}(V22,V23,V6) | P_multiply-{T}(V12,V11,V15)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #509: mergings( V5 == V6, V11 == V6, V3 == V7, V4 == V8, V7 == V9, V8 == V10, V9 == V6, V10 == V6, V6 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #466 ), references = 1, size of lhs = 19:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V9,V5), P_double_divide-{F}(V1,V10,V11), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V13,V16,V12), P_double_divide-{F}(V16,V15,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V19,V21,V5), P_double_divide-{F}(V20,V18,V22), P_double_divide-{F}(V21,V22,V3) | P_multiply-{T}(V7,V6,V10)
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #538: mergings( V0 == V5, V15 == V5, V5 == V23, V18 == V19, V22 == V28, V3 == V6, V4 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V12 == V13, V11 == V14, V13 == V23, V14 == V23, V23 == V16, V17 == V16, V16 == V19, V19 == V24; #517 ), references = 1, size of lhs = 21:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V0,V4), P_double_divide-{F}(V6,V4,V0), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V8,V4,V0), P_double_divide-{F}(V2,V8,V0), P_double_divide-{F}(V7,V9,V0), V9 == V0, P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V12,V13,V4), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V14,V17,V11), P_double_divide-{F}(V17,V16,V1), P_double_divide-{F}(V18,V19,V8), P_double_divide-{F}(V20,V21,V9) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #605: mergings( V5 == V6, V10 == V11, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14; #591 ), references = 1, size of lhs = 9:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), V2 == V4, P_double_divide-{F}(V1,V5,V0), P_double_divide-{F}(V6,V7,V5), P_double_divide-{F}(V8,V9,V2) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.62
% 9.44/9.62 #617: mergings( V5 == V6, V10 == V11, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14; #592 ), references = 1, size of lhs = 12:
% 9.44/9.62 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V5,V4,V0), V5 == V2, P_double_divide-{F}(V1,V6,V0), P_double_divide-{F}(V3,V6,V0), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V11,V12,V6) | FALSE
% 9.44/9.62 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #629: mergings( V5 == V6, V10 == V11, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14; #593 ), references = 1, size of lhs = 12:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V5,V4,V0), V5 == V2, P_double_divide-{F}(V1,V6,V0), P_double_divide-{F}(V3,V6,V0), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V11,V12,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #657: mergings( V10 == V11, V5 == V15, V3 == V15, V4 == V6, V15 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V18; #639 ), references = 1, size of lhs = 16:
% 9.44/9.63 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}(V0,V4,V3), P_double_divide-{F}(V4,V5,V0), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V2,V8,V9), V3 == V8, P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V1), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V15,V16,V5), P_double_divide-{F}(V17,V18,V3) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #673: mergings( V10 == V11, V5 == V15, V3 == V15, V4 == V6, V15 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V18; #640 ), references = 1, size of lhs = 19:
% 9.44/9.63 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}(V0,V4,V3), P_double_divide-{F}(V0,V5,V3), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V2,V9,V10), V9 == V3, P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V14,V1), P_double_divide-{F}(V12,V15,V11), P_double_divide-{F}(V16,V17,V6), P_double_divide-{F}(V18,V19,V3), P_double_divide-{F}(V20,V21,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #689: mergings( V10 == V11, V5 == V15, V3 == V15, V4 == V6, V15 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V18; #641 ), references = 1, size of lhs = 19:
% 9.44/9.63 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}(V0,V4,V3), P_double_divide-{F}(V0,V5,V3), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V2,V9,V10), V9 == V3, P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V14,V1), P_double_divide-{F}(V12,V15,V11), P_double_divide-{F}(V16,V17,V6), P_double_divide-{F}(V18,V19,V3), P_double_divide-{F}(V20,V21,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #706: mergings( V5 == V13, V0 == V9, V3 == V13, V4 == V6, V13 == V7, V6 == V8, V7 == V10, V8 == V11, V10 == V12, V11 == V12, V12 == V9, V9 == V14, V14 == V15; #691 ), references = 1, size of lhs = 12:
% 9.44/9.63 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}(V5,V4,V1), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V8,V10,V0), P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V14,V10) | P_double_divide-{T}(V0,V8,V9)
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #720: mergings( V5 == V13, V0 == V9, V3 == V13, V4 == V6, V13 == V7, V6 == V8, V7 == V10, V8 == V11, V10 == V12, V11 == V12, V12 == V9, V9 == V14, V14 == V15; #692 ), references = 1, size of lhs = 12:
% 9.44/9.63 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}(V5,V4,V1), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V8,V10,V0), P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V14,V10) | P_double_divide-{T}(V0,V8,V9)
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #735: mergings( V0 == V9, V5 == V13, V3 == V13, V4 == V6, V13 == V7, V6 == V8, V7 == V9, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16; #690 ), references = 6, size of lhs = 11:
% 9.44/9.63 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}(V5,V4,V1), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V8,V10,V0), P_double_divide-{F}(V11,V12,V10) | P_double_divide-{T}(V0,V8,V9)
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #762: mergings( V4 == V11, V12 == V13, V13 == V14, V2 == V11, V3 == V5, V11 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V10, V10 == V14, V14 == V15, V15 == V16, V16 == V20, V20 == V17, V17 == V21, V21 == V18, V19 == V18, V18 == V22; #741 ), references = 1, size of lhs = 10:
% 9.44/9.63 P_a-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b-{F}(V1), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V2), P_double_divide-{F}(V4,V7,V3) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #784: mergings( V3 == V10, V11 == V12, V12 == V13, V1 == V10, V2 == V4, V10 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V19, V19 == V16, V16 == V20, V20 == V17, V18 == V17, V17 == V21; #763 ), references = 1, size of lhs = 9:
% 9.44/9.63 P_a-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V5,V1), P_double_divide-{F}(V3,V6,V2) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #803: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V5, V5 == V9, V9 == V6, V7 == V6; #795 ), references = 1, size of lhs = 10:
% 9.44/9.63 P_b-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V2), P_double_divide-{F}(V4,V7,V3) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #834: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #829 ), references = 2, size of lhs = 6:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V2,V3,V4) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #874: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V14, V14 == V9, V10 == V9, V9 == V11, V12 == V11, V11 == V13; #861 ), references = 1, size of lhs = 14:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V5,V1), P_double_divide-{F}(V3,V6,V2), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V7,V10,V11), P_double_divide-{F}(V12,V11,V9), V10 == V12, P_double_divide-{F}(V13,V14,V10) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #886: mergings( V10 == V11, V11 == V12, V3 == V5, V4 == V5, V5 == V6, V6 == V13, V13 == V12, V7 == V8, V8 == V9, V9 == V12, V12 == V14; #862 ), references = 1, size of lhs = 23:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V5,V1), P_double_divide-{F}(V3,V6,V2), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V9,V12,V13), P_double_divide-{F}(V13,V8,V14), P_double_divide-{F}(V12,V11,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V17,V0), P_double_divide-{F}(V19,V16,V0), P_double_divide-{F}(V0,V19,V16), P_double_divide-{F}(V18,V14,V20), P_double_divide-{F}(V21,V20,V16), V14 == V21, P_double_divide-{F}(V22,V23,V14) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #903: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V15, V15 == V10, V11 == V10, V10 == V12, V13 == V12, V12 == V14; #889 ), references = 1, size of lhs = 19:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V0,V5,V7), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V9,V12,V13), P_double_divide-{F}(V13,V6,V14), P_double_divide-{F}(V12,V11,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V16,V8), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V21,V20,V1), P_double_divide-{F}(V18,V21,V2) | P_double_divide-{T}(V4,V14,V17)
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #916: mergings( V11 == V12, V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V14, V14 == V13, V8 == V9, V9 == V10, V10 == V13, V13 == V15; #890 ), references = 1, size of lhs = 27:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V5,V7,V0), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V8,V0), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V0,V8), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V14,V15), P_double_divide-{F}(V15,V6,V16), P_double_divide-{F}(V14,V13,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V8), P_double_divide-{F}(V0,V20,V16), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V24,V23,V1), P_double_divide-{F}(V21,V24,V2), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V25,V28,V4), P_double_divide-{F}(V28,V27,V10) | P_double_divide-{T}(V4,V16,V19)
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #937: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V17, V17 == V12, V13 == V12, V12 == V14, V15 == V14, V14 == V16, V16 == V18, V18 == V19; #920 ), references = 2, size of lhs = 36:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_double_divide-{F}(V0,V2,V1), P_b-{F}(V3), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V5,V0,V0), P_double_divide-{F}(V6,V0,V0), P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V0,V7,V9), P_double_divide-{F}(V10,V8,V1), 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}(V14,V13,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V17,V20,V21), P_double_divide-{F}(V21,V16,V22), P_double_divide-{F}(V9,V22,V23), P_double_divide-{F}(V20,V19,V24), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V26,V25,V0), P_double_divide-{F}(V0,V27,V26), P_double_divide-{F}(V2,V27,V28), P_double_divide-{F}(V29,V28,V3), P_double_divide-{F}(V30,V0,V23), P_double_divide-{F}(V0,V31,V32), P_double_divide-{F}(V32,V0,V33), P_double_divide-{F}(V31,V34,V29), P_double_divide-{F}(V34,V33,V30), P_double_divide-{F}(V0,V35,V36), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V38,V37,V5), P_double_divide-{F}(V35,V38,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #958: mergings( V5 == V6, V6 == V7, V7 == V14, V14 == V15, V2 == V3, V3 == V4, V4 == V15, V13 == V15; #949 ), references = 1, size of lhs = 26:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V3,V4,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V8,V0,V0), P_double_divide-{F}(V9,V0,V0), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V11,V0,V2), P_double_divide-{F}(V12,V0,V6), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V7), P_double_divide-{F}(V13,V16,V8), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V17,V20,V11), P_double_divide-{F}(V20,V19,V12), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V24,V23,V9), P_double_divide-{F}(V21,V24,V10) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #983: mergings( V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V16, V16 == V18, V2 == V3, V3 == V4, V4 == V5, V14 == V17, V5 == V6, V6 == V7, V7 == V18, V17 == V18; #967 ), references = 1, size of lhs = 22:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V5,V0,V0), P_double_divide-{F}(V6,V0,V0), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V8,V0,V0), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V3), P_double_divide-{F}(V9,V12,V4), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V5), P_double_divide-{F}(V13,V16,V6), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V20,V19,V7), P_double_divide-{F}(V17,V20,V8) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1000: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V17, V1 == V2, V2 == V3, V3 == V4, V13 == V16, V4 == V5, V5 == V6, V6 == V17, V16 == V17; #984 ), references = 1, size of lhs = 21:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V5,V0,V0), P_double_divide-{F}(V6,V0,V0), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V2), P_double_divide-{F}(V8,V11,V3), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V14,V4), P_double_divide-{F}(V12,V15,V5), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V6), P_double_divide-{F}(V16,V19,V7) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1017: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V16, V1 == V2, V2 == V3, V3 == V4, V12 == V15, V4 == V5, V5 == V6, V6 == V16, V15 == V16; #1001 ), references = 1, size of lhs = 20:
% 9.44/9.63 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V5,V0,V0), P_double_divide-{F}(V6,V0,V0), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V1), P_double_divide-{F}(V7,V10,V2), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V3), P_double_divide-{F}(V11,V14,V4), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V17,V5), P_double_divide-{F}(V15,V18,V6) | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 #1021: exists( #6, #1019 ), references = 1, size of lhs = 0:
% 9.44/9.63 FALSE | FALSE
% 9.44/9.63 (used 0 times, uses = {})
% 9.44/9.63
% 9.44/9.63 number of learnt formulas = 57
% 9.44/9.63
% 9.44/9.63
% 9.44/9.63 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.44/9.63
% 9.44/9.63 randbase = 1
%------------------------------------------------------------------------------