%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:04:07 EDT 2022
% Result : Unsatisfiable 86.23s 86.40s
% Output : Refutation 86.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 14:28:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 86.23/86.40 GeoParameters:
% 86.23/86.40
% 86.23/86.40 tptp_input = 1
% 86.23/86.40 tptp_output = 0
% 86.23/86.40 nonempty = 1
% 86.23/86.40 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.23/86.40 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 86.23/86.40
% 86.23/86.40
% 86.23/86.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.23/86.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.23/86.40
% 86.23/86.40 RuleSystem INPUT:
% 86.23/86.40
% 86.23/86.40 Initial Rules:
% 86.23/86.40 #0: input, references = 13, size of lhs = 9:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V0,V4,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V1,V10), V10 == V3 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #1: input, references = 4, size of lhs = 6:
% 86.23/86.40 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
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #2: input, references = 5, size of lhs = 5:
% 86.23/86.40 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
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #3: input, references = 4, size of lhs = 5:
% 86.23/86.40 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
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #4: input, references = 6, size of lhs = 6:
% 86.23/86.40 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
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #5: input, references = 26, size of lhs = 2:
% 86.23/86.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #6: input, references = 4, size of lhs = 0:
% 86.23/86.40 FALSE | EXISTS V0: P_identity-{T}(V0)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #7: input, references = 13, size of lhs = 2:
% 86.23/86.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #8: input, references = 16, size of lhs = 1:
% 86.23/86.40 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #9: input, references = 4, size of lhs = 0:
% 86.23/86.40 FALSE | EXISTS V0: P_a-{T}(V0)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #10: input, references = 5, size of lhs = 0:
% 86.23/86.40 FALSE | EXISTS V0: P_b-{T}(V0)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 number of initial rules = 11
% 86.23/86.40
% 86.23/86.40 Simplifiers:
% 86.23/86.40 #11: unsound, references = 3, size of lhs = 3:
% 86.23/86.40 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #12: unsound, references = 3, size of lhs = 3:
% 86.23/86.40 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #13: unsound, references = 3, size of lhs = 3:
% 86.23/86.40 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #14: unsound, references = 3, size of lhs = 3:
% 86.23/86.40 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #15: unsound, references = 3, size of lhs = 3:
% 86.23/86.40 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #16: unsound, references = 3, size of lhs = 3:
% 86.23/86.40 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 number of simplifiers = 6
% 86.23/86.40
% 86.23/86.40 Learnt:
% 86.23/86.40 #19: exists( #5, #2 ), references = 9, size of lhs = 2:
% 86.23/86.40 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #20: exists( #5, #3 ), references = 5, size of lhs = 4:
% 86.23/86.40 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #24: exists( #5, #20 ), references = 28, size of lhs = 2:
% 86.23/86.40 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #25: exists( #5, #2 ), references = 18, size of lhs = 3:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #29: exists( #8, #27 ), references = 3, size of lhs = 5:
% 86.23/86.40 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
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #31: exists( #7, #28 ), references = 11, size of lhs = 3:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #41: mergings( V2 == V0, V0 == V4; #38 ), references = 1, size of lhs = 4:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), V0 == V2 | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #49: exists( #8, #45 ), references = 6, size of lhs = 3:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V3)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #59: exists( #7, #4 ), references = 1, size of lhs = 4:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #63: exists( #7, #61 ), references = 1, size of lhs = 4:
% 86.23/86.40 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_double_divide-{F}(V2,V3,V0) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #67: exists( #8, #65 ), references = 1, size of lhs = 3:
% 86.23/86.40 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #77: exists( #8, #72 ), references = 22, size of lhs = 4:
% 86.23/86.40 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)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #87: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7; #82 ), references = 6, size of lhs = 8:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V9,V10,V8) | P_multiply-{T}(V10,V9,V5)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #100: mergings( V3 == V4, V4 == V5; #97 ), references = 3, size of lhs = 9:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V4,V6), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V5,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #118: mergings( V2 == V3, V3 == V5, V4 == V5, V5 == V14, V14 == V6, V7 == V6, V6 == V8, V9 == V8, V8 == V10, V10 == V11, V12 == V11; #106 ), references = 2, size of lhs = 5:
% 86.23/86.40 P_a-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b-{F}(V1), P_double_divide-{F}(V0,V2,V0) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #131: exists( #5, #0 ), references = 18, size of lhs = 7:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V4,V8,V9) | P_double_divide-{T}(V9,V1,V6)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #137: exists( #7, #135 ), references = 3, size of lhs = 2:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #143: exists( #8, #141 ), references = 1, size of lhs = 3:
% 86.23/86.40 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #145: exists( #10, #142 ), references = 1, size of lhs = 2:
% 86.23/86.40 P_a-{F}(V0), P_identity-{F}(V0) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #150: mergings( V3 == V5; #148 ), references = 3, size of lhs = 9:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V4,V6,V1), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V8,V5,V9), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V8,V7,V10) | P_double_divide-{T}(V4,V10,V8)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #177: mergings( V3 == V4, V4 == V5; #173 ), references = 3, size of lhs = 9:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V2,V4,V6), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V5,V1) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #179: mergings( V3 == V4; #174 ), references = 3, size of lhs = 12:
% 86.23/86.40 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,V4), P_double_divide-{F}(V2,V3,V5), P_double_divide-{F}(V6,V4,V1), P_double_divide-{F}(V7,V5,V6), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V1,V8,V10), P_double_divide-{F}(V7,V10,V11), P_double_divide-{F}(V11,V9,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #197: mergings( V2 == V3, V3 == V5, V4 == V6, V6 == V11, V5 == V11, V11 == V7, V7 == V8, V9 == V8; #187 ), references = 1, size of lhs = 5:
% 86.23/86.40 P_b-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_double_divide-{F}(V0,V2,V0) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #217: exists( #8, #213 ), references = 1, size of lhs = 3:
% 86.23/86.40 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #237: mergings( V3 == V5, V5 == V6, V4 == V7; #233 ), references = 2, size of lhs = 8:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V5,V2,V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V7,V1,V8), P_multiply-{F}(V9,V10,V6) | P_double_divide-{T}(V10,V9,V8)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #263: mergings( V3 == V5, V4 == V6, V5 == V0, V6 == V7, V9 == V10; #257 ), references = 2, size of lhs = 13:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V5,V8,V1), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V0,V9,V7), P_double_divide-{F}(V5,V9,V2), P_double_divide-{F}(V10,V7,V1), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V1,V12) | P_double_divide-{T}(V0,V7,V12)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #282: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V0, V0 == V10, V12 == V13, V20 == V21; #271 ), references = 10, size of lhs = 15:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V3,V0,V6), P_double_divide-{F}(V3,V7,V0), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V11,V10,V5), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V15,V12,V5), P_double_divide-{F}(V15,V14,V8) | P_double_divide-{T}(V0,V5,V6)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #287: mergings( V3 == V5, V4 == V6; #284 ), references = 45, size of lhs = 11:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V9,V10,V1), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V6,V11,V12), P_double_divide-{F}(V9,V12,V13), P_double_divide-{F}(V13,V1,V14) | P_double_divide-{T}(V4,V8,V14)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #330: mergings( V6 == V7, V7 == V15, V3 == V5, V4 == V15, V5 == V15, V15 == V17, V17 == V8, V8 == V9; #320 ), references = 1, size of lhs = 15:
% 86.23/86.40 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,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V7,V2,V1), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V1,V11,V13), P_double_divide-{F}(V8,V13,V14), P_double_divide-{F}(V14,V12,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #339: mergings( V6 == V7, V7 == V16, V3 == V5, V4 == V16, V5 == V16, V16 == V18, V18 == V8, V8 == V9; #321 ), references = 1, size of lhs = 12:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V3,V0,V8), P_double_divide-{F}(V8,V2,V1), P_double_divide-{F}(V9,V10,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #423: mergings( V6 == V7, V7 == V15, V15 == V20, V3 == V5, V4 == V20, V5 == V20, V20 == V23, V23 == V8, V9 == V8, V8 == V10, V10 == V11, V12 == V22, V22 == V11, V11 == V13, V14 == V13, V13 == V16; #404 ), references = 3, size of lhs = 19:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V8,V7,V9), P_double_divide-{F}(V5,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V15,V12,V16), P_double_divide-{F}(V15,V14,V17), P_double_divide-{F}(V18,V0,V16), P_double_divide-{F}(V8,V19,V18), V19 == V17, P_double_divide-{F}(V20,V21,V19) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #440: mergings( V6 == V7, V7 == V24, V16 == V24, V3 == V5, V4 == V24, V5 == V8, V24 == V9, V8 == V10, V10 == V11, V9 == V12, V26 == V27, V11 == V13, V12 == V14, V13 == V15, V15 == V14, V14 == V27; #405 ), references = 1, size of lhs = 23:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V4,V9,V1), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V9,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V12,V17,V18), P_double_divide-{F}(V15,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V23,V21,V14), P_double_divide-{F}(V20,V22,V24), P_double_divide-{F}(V23,V24,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #457: mergings( V6 == V7, V7 == V22, V16 == V22, V3 == V5, V4 == V22, V5 == V8, V22 == V9, V8 == V10, V10 == V11, V9 == V12, V24 == V25, V11 == V13, V12 == V14, V13 == V15, V15 == V14, V14 == V25; #406 ), references = 1, size of lhs = 26:
% 86.23/86.40 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,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V9,V1), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V9,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V12,V17,V18), P_double_divide-{F}(V15,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V23,V21,V14), P_double_divide-{F}(V20,V22,V24), P_double_divide-{F}(V23,V24,V2), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V1,V25,V27), P_double_divide-{F}(V7,V27,V28), P_double_divide-{F}(V28,V26,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #487: mergings( V10 == V11, V11 == V27, V20 == V27, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V27, V9 == V12, V27 == V13, V12 == V14, V14 == V15, V13 == V16, V29 == V30, V15 == V17, V16 == V18, V17 == V19, V19 == V18, V18 == V30; #465 ), references = 1, size of lhs = 32:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V4,V9,V0), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V10,V10), P_double_divide-{F}(V1,V0,V11), P_double_divide-{F}(V0,V12,V10), P_double_divide-{F}(V4,V12,V13), P_double_divide-{F}(V14,V13,V1), P_double_divide-{F}(V15,V0,V1), P_double_divide-{F}(V16,V17,V0), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V14,V18,V19), P_double_divide-{F}(V16,V19,V15), P_double_divide-{F}(V20,V21,V0), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V4,V22,V23), P_double_divide-{F}(V20,V23,V24), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V0,V27,V28), P_double_divide-{F}(V29,V27,V26), P_double_divide-{F}(V11,V28,V30), P_double_divide-{F}(V29,V30,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #508: mergings( V10 == V11, V11 == V25, V20 == V25, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V25, V9 == V12, V25 == V13, V12 == V14, V14 == V15, V13 == V16, V27 == V28, V15 == V17, V16 == V18, V17 == V19, V19 == V18, V18 == V28; #466 ), references = 1, size of lhs = 35:
% 86.23/86.40 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,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V1,V0,V7), P_double_divide-{F}(V8,V0,V1), P_double_divide-{F}(V0,V9,V9), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V0,V11,V9), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V12,V10,V13), P_double_divide-{F}(V14,V13,V1), P_double_divide-{F}(V15,V0,V12), P_double_divide-{F}(V16,V17,V0), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V14,V18,V19), P_double_divide-{F}(V16,V19,V8), P_double_divide-{F}(V20,V21,V0), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V12,V22,V23), P_double_divide-{F}(V20,V23,V24), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V0,V27,V28), P_double_divide-{F}(V29,V27,V26), P_double_divide-{F}(V7,V28,V30), P_double_divide-{F}(V29,V30,V2), P_double_divide-{F}(V0,V31,V32), P_double_divide-{F}(V1,V31,V33), P_double_divide-{F}(V15,V33,V34), P_double_divide-{F}(V34,V32,V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #513: exists( #5, #423 ), references = 8, size of lhs = 17:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V8,V7,V9), P_double_divide-{F}(V5,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V15,V12,V16), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V8,V18,V17), P_double_divide-{F}(V19,V20,V18) | P_double_divide-{T}(V15,V14,V18)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #544: mergings( V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V9, V9 == V14, V8 == V10, V11 == V14, V13 == V10, V10 == V12, V12 == V14; #532 ), references = 5, size of lhs = 15:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V3,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V1,V7,V6), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V9,V8,V2), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V12,V0), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V4,V13,V14), P_double_divide-{F}(V11,V14,V10) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #566: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V25, V25 == V19, V20 == V24, V24 == V19, V34 == V36, V19 == V21; #548 ), references = 1, size of lhs = 37:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_a-{F}(V5), P_b-{F}(V6), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V8), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V11,V7,V0), P_double_divide-{F}(V12,V10,V11), P_double_divide-{F}(V11,V0,V13), P_double_divide-{F}(V5,V14,V13), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V16,V0,V11), P_double_divide-{F}(V17,V15,V6), P_double_divide-{F}(V6,V18,V17), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V20,V0,V17), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V22,V19,V5), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V24,V25,V0), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V12,V26,V27), P_double_divide-{F}(V24,V27,V16), P_double_divide-{F}(V28,V29,V0), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V6,V30,V31), P_double_divide-{F}(V28,V31,V21), P_double_divide-{F}(V32,V33,V0), P_double_divide-{F}(V0,V33,V34), P_double_divide-{F}(V11,V34,V35), P_double_divide-{F}(V32,V35,V23) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #592: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V21, V0 == V34, V1 == V65, V21 == V26, V29 == V33; #577 ), references = 1, size of lhs = 69:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V0,V12,V0), P_a-{F}(V13), P_b-{F}(V14), P_double_divide-{F}(V0,V15,V13), P_double_divide-{F}(V13,V15,V0), P_double_divide-{F}(V14,V16,V0), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V13,V0,V18), P_double_divide-{F}(V18,V0,V13), P_double_divide-{F}(V13,V19,V18), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V18,V21,V13), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V0,V23,V17), P_double_divide-{F}(V14,V23,V24), P_double_divide-{F}(V25,V24,V13), P_double_divide-{F}(V0,V17,V26), P_double_divide-{F}(V0,V26,V17), P_double_divide-{F}(V0,V27,V17), P_double_divide-{F}(V0,V28,V17), P_double_divide-{F}(V29,V0,V13), P_double_divide-{F}(V30,V20,V14), P_double_divide-{F}(V31,V0,V30), P_double_divide-{F}(V32,V0,V31), P_double_divide-{F}(V33,V0,V14), P_double_divide-{F}(V34,V22,V26), P_double_divide-{F}(V35,V0,V34), P_double_divide-{F}(V13,V36,V13), P_double_divide-{F}(V37,V27,V36), P_double_divide-{F}(V38,V0,V17), P_double_divide-{F}(V39,V0,V38), P_double_divide-{F}(V40,V0,V13), P_double_divide-{F}(V41,V42,V0), P_double_divide-{F}(V0,V42,V43), P_double_divide-{F}(V25,V43,V44), P_double_divide-{F}(V41,V44,V29), P_double_divide-{F}(V45,V46,V0), P_double_divide-{F}(V0,V46,V47), P_double_divide-{F}(V37,V47,V48), P_double_divide-{F}(V45,V48,V35), P_double_divide-{F}(V49,V50,V0), P_double_divide-{F}(V0,V50,V51), P_double_divide-{F}(V14,V51,V52), P_double_divide-{F}(V49,V52,V39), P_double_divide-{F}(V53,V54,V0), P_double_divide-{F}(V0,V54,V55), P_double_divide-{F}(V37,V55,V56), P_double_divide-{F}(V53,V56,V32), P_double_divide-{F}(V57,V58,V0), P_double_divide-{F}(V0,V58,V59), P_double_divide-{F}(V18,V59,V60), P_double_divide-{F}(V57,V60,V40), P_double_divide-{F}(V61,V62,V0), P_double_divide-{F}(V0,V62,V63), P_double_divide-{F}(V37,V63,V64), P_double_divide-{F}(V61,V64,V33) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #624: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V12, V12 == V13, V13 == V14; #615 ), references = 1, size of lhs = 48:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_a-{F}(V5), P_b-{F}(V6), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V5), P_double_divide-{F}(V9,V0,V6), P_double_divide-{F}(V0,V10,V5), P_double_divide-{F}(V11,V7,V12), P_double_divide-{F}(V13,V12,V6), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V13,V16,V17), P_double_divide-{F}(V14,V17,V9), P_double_divide-{F}(V18,V8,V19), P_double_divide-{F}(V20,V19,V6), P_double_divide-{F}(V21,V22,V0), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V20,V23,V24), P_double_divide-{F}(V21,V24,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V28,V29,V0), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V18,V30,V31), P_double_divide-{F}(V28,V31,V32), P_double_divide-{F}(V32,V0,V33), P_double_divide-{F}(V33,V34,V10), P_double_divide-{F}(V0,V35,V34), P_double_divide-{F}(V36,V35,V27), P_double_divide-{F}(V37,V38,V0), P_double_divide-{F}(V0,V38,V39), P_double_divide-{F}(V11,V39,V40), P_double_divide-{F}(V37,V40,V41), P_double_divide-{F}(V41,V0,V42), P_double_divide-{F}(V42,V0,V43), P_double_divide-{F}(V5,V44,V43), P_double_divide-{F}(V0,V44,V45), P_double_divide-{F}(V46,V45,V6), P_double_divide-{F}(V47,V0,V46), P_double_divide-{F}(V48,V49,V0), P_double_divide-{F}(V0,V49,V50), P_double_divide-{F}(V36,V50,V51), P_double_divide-{F}(V48,V51,V47) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #668: mergings( V6 == V7, V7 == V37, V37 == V40, V64 == V57, V68 == V69, V3 == V5, V4 == V40, V5 == V40, V40 == V41, V41 == V8, V8 == V9, V39 == V9, V9 == V10, V11 == V10, V10 == V12, V12 == V13, V14 == V13, V13 == V15, V16 == V15, V15 == V42, V42 == V17, V17 == V18, V19 == V18, V18 == V20, V21 == V20, V20 == V22, V22 == V27, V28 == V27; #639 ), references = 1, size of lhs = 80:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_a-{F}(V5), P_b-{F}(V6), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V5), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V0,V13,V0), P_double_divide-{F}(V0,V14,V0), P_double_divide-{F}(V15,V0,V6), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V0,V17,V5), P_double_divide-{F}(V15,V18,V6), P_double_divide-{F}(V19,V7,V18), P_double_divide-{F}(V20,V0,V17), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V0,V22,V22), P_double_divide-{F}(V0,V23,V22), P_double_divide-{F}(V24,V23,V0), P_double_divide-{F}(V0,V25,V22), P_double_divide-{F}(V24,V25,V0), P_double_divide-{F}(V24,V14,V26), P_double_divide-{F}(V15,V27,V28), P_double_divide-{F}(V0,V27,V29), P_double_divide-{F}(V0,V30,V28), P_double_divide-{F}(V31,V30,V0), P_double_divide-{F}(V0,V32,V28), P_double_divide-{F}(V33,V32,V0), P_double_divide-{F}(V28,V0,V34), P_double_divide-{F}(V0,V34,V28), P_double_divide-{F}(V35,V29,V22), P_double_divide-{F}(V33,V35,V36), P_double_divide-{F}(V35,V36,V28), P_double_divide-{F}(V31,V35,V36), P_double_divide-{F}(V37,V36,V28), P_double_divide-{F}(V35,V0,V38), P_double_divide-{F}(V38,V36,V28), P_double_divide-{F}(V0,V39,V35), P_double_divide-{F}(V40,V39,V0), P_double_divide-{F}(V41,V38,V36), P_double_divide-{F}(V42,V26,V36), P_double_divide-{F}(V43,V44,V36), P_double_divide-{F}(V45,V46,V0), P_double_divide-{F}(V0,V46,V47), P_double_divide-{F}(V42,V47,V48), P_double_divide-{F}(V45,V48,V16), P_double_divide-{F}(V49,V50,V0), P_double_divide-{F}(V0,V50,V51), P_double_divide-{F}(V24,V51,V52), P_double_divide-{F}(V49,V52,V53), P_double_divide-{F}(V53,V0,V54), P_double_divide-{F}(V54,V0,V55), P_double_divide-{F}(V0,V56,V55), P_double_divide-{F}(V5,V56,V57), P_double_divide-{F}(V58,V8,V55), P_double_divide-{F}(V40,V59,V55), P_double_divide-{F}(V0,V59,V60), P_double_divide-{F}(V6,V60,V61), P_double_divide-{F}(V62,V0,V57), P_double_divide-{F}(V63,V0,V62), P_double_divide-{F}(V64,V0,V61), P_double_divide-{F}(V65,V66,V0), P_double_divide-{F}(V0,V66,V67), P_double_divide-{F}(V41,V67,V68), P_double_divide-{F}(V65,V68,V64), P_double_divide-{F}(V69,V70,V0), P_double_divide-{F}(V0,V70,V71), P_double_divide-{F}(V58,V71,V72), P_double_divide-{F}(V69,V72,V21), P_double_divide-{F}(V73,V74,V0), P_double_divide-{F}(V0,V74,V75), P_double_divide-{F}(V19,V75,V76), P_double_divide-{F}(V73,V76,V63) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #701: mergings( V8 == V9, V9 == V39, V39 == V42, V3 == V5, V4 == V6, V5 == V7, V6 == V42, V7 == V42, V42 == V43, V43 == V10, V10 == V11, V41 == V11, V11 == V12, V13 == V12, V46 == V65, V12 == V14, V14 == V15, V16 == V15, V15 == V17, V18 == V17, V17 == V44, V44 == V19, V19 == V20, V21 == V20, V65 == V66, V20 == V22, V23 == V22, V22 == V24, V24 == V29, V30 == V29; #670 ), references = 1, size of lhs = 74:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_a-{F}(V5), P_b-{F}(V6), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V5), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V0,V13,V0), P_double_divide-{F}(V0,V14,V0), P_double_divide-{F}(V0,V15,V5), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V0,V6), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V18,V20,V19), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V0,V22,V19), P_double_divide-{F}(V0,V23,V19), P_double_divide-{F}(V18,V24,V6), P_double_divide-{F}(V25,V7,V24), P_double_divide-{F}(V26,V22,V0), P_double_divide-{F}(V26,V23,V0), P_double_divide-{F}(V27,V0,V19), P_double_divide-{F}(V6,V28,V18), P_double_divide-{F}(V0,V29,V28), P_double_divide-{F}(V0,V30,V30), P_double_divide-{F}(V0,V31,V30), P_double_divide-{F}(V32,V31,V0), P_double_divide-{F}(V0,V33,V30), P_double_divide-{F}(V32,V33,V0), P_double_divide-{F}(V32,V14,V34), P_double_divide-{F}(V34,V0,V34), P_double_divide-{F}(V34,V21,V30), P_double_divide-{F}(V0,V35,V34), P_double_divide-{F}(V36,V35,V0), P_double_divide-{F}(V34,V37,V0), P_double_divide-{F}(V0,V37,V34), P_double_divide-{F}(V34,V38,V0), P_double_divide-{F}(V0,V38,V34), P_double_divide-{F}(V0,V39,V34), P_double_divide-{F}(V34,V39,V40), P_double_divide-{F}(V41,V40,V26), P_double_divide-{F}(V36,V29,V42), P_double_divide-{F}(V0,V43,V42), P_double_divide-{F}(V5,V43,V44), P_double_divide-{F}(V45,V8,V42), P_double_divide-{F}(V46,V0,V42), P_double_divide-{F}(V47,V0,V46), P_double_divide-{F}(V48,V0,V44), P_double_divide-{F}(V49,V0,V48), P_double_divide-{F}(V50,V51,V0), P_double_divide-{F}(V0,V51,V52), P_double_divide-{F}(V41,V52,V53), P_double_divide-{F}(V50,V53,V27), P_double_divide-{F}(V54,V55,V0), P_double_divide-{F}(V0,V55,V56), P_double_divide-{F}(V32,V56,V57), P_double_divide-{F}(V54,V57,V47), P_double_divide-{F}(V58,V59,V0), P_double_divide-{F}(V0,V59,V60), P_double_divide-{F}(V45,V60,V61), P_double_divide-{F}(V58,V61,V17), P_double_divide-{F}(V62,V63,V0), P_double_divide-{F}(V0,V63,V64), P_double_divide-{F}(V25,V64,V65), P_double_divide-{F}(V62,V65,V49) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #739: mergings( V3 == V4, V4 == V11, V11 == V34, V34 == V36, V36 == V45, V2 == V45, V45 == V48, V48 == V5, V6 == V5, V5 == V7, V7 == V8, V9 == V8, V8 == V10, V37 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V16 == V15, V15 == V17, V38 == V17, V17 == V18, V18 == V19, V19 == V20, V42 == V20, V56 == V52, V20 == V25, V26 == V25; #710 ), references = 1, size of lhs = 60:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_a-{F}(V5), P_b-{F}(V6), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V5), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V0,V13,V0), P_double_divide-{F}(V0,V14,V0), P_double_divide-{F}(V0,V15,V0), P_double_divide-{F}(V16,V7,V0), P_double_divide-{F}(V0,V17,V0), P_double_divide-{F}(V0,V18,V0), P_double_divide-{F}(V0,V19,V0), P_double_divide-{F}(V0,V20,V0), P_double_divide-{F}(V0,V21,V5), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V0,V24,V24), P_double_divide-{F}(V24,V0,V24), P_double_divide-{F}(V0,V25,V24), P_double_divide-{F}(V26,V25,V0), P_double_divide-{F}(V26,V14,V24), P_double_divide-{F}(V0,V27,V24), P_double_divide-{F}(V26,V27,V0), P_double_divide-{F}(V0,V28,V24), P_double_divide-{F}(V29,V28,V0), P_double_divide-{F}(V24,V30,V0), P_double_divide-{F}(V0,V30,V24), P_double_divide-{F}(V24,V31,V0), P_double_divide-{F}(V0,V31,V24), P_double_divide-{F}(V0,V32,V24), P_double_divide-{F}(V24,V32,V0), P_double_divide-{F}(V29,V20,V33), P_double_divide-{F}(V0,V34,V33), P_double_divide-{F}(V5,V34,V35), P_double_divide-{F}(V36,V8,V33), P_double_divide-{F}(V37,V0,V33), P_double_divide-{F}(V38,V0,V37), P_double_divide-{F}(V39,V0,V35), P_double_divide-{F}(V40,V0,V39), P_double_divide-{F}(V41,V42,V0), P_double_divide-{F}(V0,V42,V43), P_double_divide-{F}(V26,V43,V44), P_double_divide-{F}(V41,V44,V38), P_double_divide-{F}(V45,V46,V0), P_double_divide-{F}(V0,V46,V47), P_double_divide-{F}(V36,V47,V48), P_double_divide-{F}(V45,V48,V23), P_double_divide-{F}(V49,V50,V0), P_double_divide-{F}(V0,V50,V51), P_double_divide-{F}(V16,V51,V52), P_double_divide-{F}(V49,V52,V40) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #798: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V19; #789 ), references = 1, size of lhs = 61:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_a-{F}(V9), P_b-{F}(V10), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V0,V13,V12), P_double_divide-{F}(V0,V14,V12), P_double_divide-{F}(V15,V11,V16), P_double_divide-{F}(V17,V16,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V9,V20,V19), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V22,V0,V18), P_double_divide-{F}(V23,V21,V10), P_double_divide-{F}(V24,V0,V23), P_double_divide-{F}(V25,V26,V0), P_double_divide-{F}(V0,V26,V27), P_double_divide-{F}(V17,V27,V28), P_double_divide-{F}(V25,V28,V22), P_double_divide-{F}(V29,V13,V30), P_double_divide-{F}(V31,V30,V18), P_double_divide-{F}(V32,V33,V0), P_double_divide-{F}(V0,V33,V34), P_double_divide-{F}(V31,V34,V35), P_double_divide-{F}(V32,V35,V36), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V37,V0,V38), P_double_divide-{F}(V39,V40,V0), P_double_divide-{F}(V0,V40,V41), P_double_divide-{F}(V29,V41,V42), P_double_divide-{F}(V39,V42,V43), P_double_divide-{F}(V43,V0,V44), P_double_divide-{F}(V44,V45,V14), P_double_divide-{F}(V0,V46,V45), P_double_divide-{F}(V47,V46,V38), P_double_divide-{F}(V48,V49,V0), P_double_divide-{F}(V0,V49,V50), P_double_divide-{F}(V15,V50,V51), P_double_divide-{F}(V48,V51,V52), P_double_divide-{F}(V52,V0,V53), P_double_divide-{F}(V53,V0,V54), P_double_divide-{F}(V10,V55,V54), P_double_divide-{F}(V0,V55,V56), P_double_divide-{F}(V57,V56,V9), P_double_divide-{F}(V58,V0,V57), P_double_divide-{F}(V59,V60,V0), P_double_divide-{F}(V0,V60,V61), P_double_divide-{F}(V47,V61,V62), P_double_divide-{F}(V59,V62,V58), P_double_divide-{F}(V63,V64,V0), P_double_divide-{F}(V0,V64,V65), P_double_divide-{F}(V15,V65,V66), P_double_divide-{F}(V63,V66,V24) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #841: mergings( V6 == V7, V7 == V22, V3 == V5, V4 == V22, V5 == V22, V22 == V23, V23 == V8, V8 == V9, V10 == V9, V9 == V11, V12 == V11, V11 == V28, V28 == V13, V13 == V14; #826 ), references = 1, size of lhs = 42:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V9,V8,V0), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V14,V13,V15), P_double_divide-{F}(V16,V17,V15), P_double_divide-{F}(V18,V19,V0), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V14,V20,V21), P_double_divide-{F}(V18,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V25,V26,V0), P_double_divide-{F}(V0,V26,V27), P_double_divide-{F}(V12,V27,V28), P_double_divide-{F}(V25,V28,V29), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V0,V31,V32), P_double_divide-{F}(V30,V32,V33), P_double_divide-{F}(V0,V34,V33), P_double_divide-{F}(V9,V34,V35), P_double_divide-{F}(V36,V31,V24), P_double_divide-{F}(V37,V0,V36), P_double_divide-{F}(V38,V0,V35), P_double_divide-{F}(V39,V40,V0), P_double_divide-{F}(V0,V40,V41), P_double_divide-{F}(V39,V42,V37), P_double_divide-{F}(V43,V41,V42), P_double_divide-{F}(V43,V44,V38), V44 == V15, P_double_divide-{F}(V45,V46,V44) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #857: mergings( V6 == V7, V7 == V22, V3 == V5, V4 == V22, V5 == V22, V22 == V23, V23 == V8, V8 == V9, V10 == V9, V9 == V11, V12 == V11, V11 == V28, V28 == V13, V13 == V14; #842 ), references = 1, size of lhs = 39:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V9,V8,V0), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V17,V16,V18), P_double_divide-{F}(V14,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V22,V23,V0), P_double_divide-{F}(V0,V23,V24), P_double_divide-{F}(V12,V24,V25), P_double_divide-{F}(V22,V25,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V0,V28,V29), P_double_divide-{F}(V27,V29,V30), P_double_divide-{F}(V0,V31,V30), P_double_divide-{F}(V9,V31,V32), P_double_divide-{F}(V33,V28,V21), P_double_divide-{F}(V34,V0,V33), P_double_divide-{F}(V35,V0,V32), P_double_divide-{F}(V36,V37,V0), P_double_divide-{F}(V0,V37,V38), P_double_divide-{F}(V36,V39,V34), P_double_divide-{F}(V40,V38,V39), P_double_divide-{F}(V40,V41,V35), P_double_divide-{F}(V42,V43,V41) | P_double_divide-{T}(V17,V13,V41)
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #879: mergings( V8 == V9, V9 == V24, V3 == V5, V4 == V6, V5 == V7, V6 == V24, V7 == V24, V24 == V25, V25 == V10, V10 == V11, V12 == V11, V11 == V13, V14 == V13, V13 == V30, V30 == V15, V15 == V16, V16 == V31, V45 == V48; #860 ), references = 1, size of lhs = 55:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V9,V8,V0), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_a-{F}(V12), P_double_divide-{F}(V13,V11,V12), P_b-{F}(V14), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V17,V15,V18), P_double_divide-{F}(V19,V18,V20), P_double_divide-{F}(V21,V22,V0), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V19,V23,V24), P_double_divide-{F}(V21,V24,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V9,V28,V27), P_double_divide-{F}(V0,V28,V29), P_double_divide-{F}(V12,V30,V27), P_double_divide-{F}(V0,V30,V31), P_double_divide-{F}(V32,V31,V14), P_double_divide-{F}(V33,V0,V32), P_double_divide-{F}(V34,V35,V0), P_double_divide-{F}(V0,V35,V36), P_double_divide-{F}(V14,V36,V37), P_double_divide-{F}(V34,V37,V38), P_double_divide-{F}(V38,V0,V39), P_double_divide-{F}(V39,V0,V40), P_double_divide-{F}(V41,V42,V0), P_double_divide-{F}(V0,V42,V43), P_double_divide-{F}(V13,V43,V44), P_double_divide-{F}(V41,V44,V45), P_double_divide-{F}(V45,V0,V46), P_double_divide-{F}(V46,V47,V29), P_double_divide-{F}(V0,V48,V47), P_double_divide-{F}(V49,V48,V40), P_double_divide-{F}(V50,V0,V49), P_double_divide-{F}(V51,V52,V0), P_double_divide-{F}(V0,V52,V53), P_double_divide-{F}(V17,V53,V54), P_double_divide-{F}(V51,V54,V50), P_double_divide-{F}(V55,V56,V0), P_double_divide-{F}(V0,V56,V57), P_double_divide-{F}(V17,V57,V58), P_double_divide-{F}(V55,V58,V33) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #911: mergings( V3 == V4, V4 == V39, V13 == V14, V14 == V26, V42 == V45, V2 == V39, V39 == V43, V43 == V5, V6 == V5, V5 == V7, V7 == V8, V9 == V8, V8 == V10, V11 == V10, V10 == V12, V26 == V12, V27 == V12, V12 == V15, V15 == V16, V17 == V16, V16 == V18, V37 == V18; #888 ), references = 1, size of lhs = 39:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V9,V8,V0), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_a-{F}(V12), P_double_divide-{F}(V13,V11,V12), P_b-{F}(V14), P_double_divide-{F}(V0,V15,V0), P_double_divide-{F}(V0,V16,V0), P_double_divide-{F}(V0,V17,V0), P_double_divide-{F}(V0,V18,V0), P_double_divide-{F}(V0,V19,V0), P_double_divide-{F}(V0,V20,V0), P_double_divide-{F}(V12,V20,V21), P_double_divide-{F}(V9,V22,V21), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V24,V0,V21), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V26,V0,V23), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V30,V31,V0), P_double_divide-{F}(V0,V31,V32), P_double_divide-{F}(V28,V32,V33), P_double_divide-{F}(V30,V33,V25), P_double_divide-{F}(V34,V35,V0), P_double_divide-{F}(V0,V35,V36), P_double_divide-{F}(V13,V36,V37), P_double_divide-{F}(V34,V37,V27) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #948: mergings( V3 == V4, V4 == V13, V13 == V20, V20 == V21, V21 == V31, V31 == V40, V2 == V5, V40 == V6, V5 == V7, V7 == V8, V6 == V8, V8 == V47, V9 == V11, V10 == V47, V11 == V12, V42 == V45, V12 == V14, V47 == V15, V14 == V16, V16 == V17, V15 == V18, V17 == V19, V32 == V45, V19 == V18, V45 == V18, V18 == V22, V22 == V23; #920 ), references = 2, size of lhs = 21:
% 86.23/86.40 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V0,V9,V0), P_a-{F}(V10), P_b-{F}(V11), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V0,V13,V0), P_double_divide-{F}(V0,V14,V0), P_double_divide-{F}(V0,V15,V0), P_double_divide-{F}(V0,V16,V0), P_double_divide-{F}(V0,V17,V0), P_double_divide-{F}(V0,V18,V0), P_double_divide-{F}(V0,V19,V0) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #958: exists( #8, #956 ), references = 1, size of lhs = 3:
% 86.23/86.40 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #960: exists( #10, #957 ), references = 1, size of lhs = 2:
% 86.23/86.40 P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #962: exists( #9, #959 ), references = 1, size of lhs = 1:
% 86.23/86.40 P_identity-{F}(V0) | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 #964: exists( #6, #961 ), references = 1, size of lhs = 0:
% 86.23/86.40 FALSE | FALSE
% 86.23/86.40 (used 0 times, uses = {})
% 86.23/86.40
% 86.23/86.40 number of learnt formulas = 53
% 86.23/86.40
% 86.23/86.40
% 86.23/86.40 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.23/86.40
% 86.23/86.40 randbase = 1
%------------------------------------------------------------------------------