TSTP Solution File: GRP080-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP080-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:03:06 EDT 2022
% Result : Unsatisfiable 134.20s 134.37s
% Output : Refutation 134.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP080-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 13:47:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 134.20/134.37 GeoParameters:
% 134.20/134.37
% 134.20/134.37 tptp_input = 1
% 134.20/134.37 tptp_output = 0
% 134.20/134.37 nonempty = 1
% 134.20/134.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 134.20/134.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 134.20/134.37
% 134.20/134.37
% 134.20/134.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 134.20/134.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 134.20/134.37
% 134.20/134.37 RuleSystem INPUT:
% 134.20/134.37
% 134.20/134.37 Initial Rules:
% 134.20/134.37 #0: input, references = 11, size of lhs = 9:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V1,V7), P_double_divide-{F}(V2,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V9,V10), V10 == V3 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1: input, references = 6, size of lhs = 5:
% 134.20/134.37 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
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #2: input, references = 6, size of lhs = 4:
% 134.20/134.37 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #3: input, references = 5, size of lhs = 4:
% 134.20/134.37 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #4: input, references = 7, size of lhs = 13:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V4), P_multiply-{F}(V0,V4,V4), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_c3-{F}(V9), P_multiply-{F}(V8,V9,V12), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V6,V11,V12) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #5: input, references = 19, size of lhs = 2:
% 134.20/134.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #6: input, references = 4, size of lhs = 0:
% 134.20/134.37 FALSE | EXISTS V0: P_identity-{T}(V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #7: input, references = 24, size of lhs = 2:
% 134.20/134.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #8: input, references = 21, size of lhs = 1:
% 134.20/134.37 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #9: input, references = 4, size of lhs = 0:
% 134.20/134.37 FALSE | EXISTS V0: P_a1-{T}(V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #10: input, references = 5, size of lhs = 0:
% 134.20/134.37 FALSE | EXISTS V0: P_a2-{T}(V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #11: input, references = 6, size of lhs = 0:
% 134.20/134.37 FALSE | EXISTS V0: P_a3-{T}(V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #12: input, references = 8, size of lhs = 0:
% 134.20/134.37 FALSE | EXISTS V0: P_b3-{T}(V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #13: input, references = 9, size of lhs = 0:
% 134.20/134.37 FALSE | EXISTS V0: P_c3-{T}(V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 number of initial rules = 14
% 134.20/134.37
% 134.20/134.37 Simplifiers:
% 134.20/134.37 #14: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #15: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #16: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #17: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #18: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #19: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #20: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #21: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #22: unsound, references = 3, size of lhs = 3:
% 134.20/134.37 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 number of simplifiers = 9
% 134.20/134.37
% 134.20/134.37 Learnt:
% 134.20/134.37 #24: exists( #5, #3 ), references = 53, size of lhs = 2:
% 134.20/134.37 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #26: exists( #5, #2 ), references = 18, size of lhs = 2:
% 134.20/134.37 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #28: exists( #5, #1 ), references = 64, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4) | P_double_divide-{T}(V4,V0,V3)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #31: exists( #8, #2 ), references = 14, size of lhs = 2:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2) | P_inverse-{T}(V1,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #33: exists( #7, #1 ), references = 8, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #43: exists( #5, #0 ), references = 26, size of lhs = 7:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V1,V7,V8), P_double_divide-{F}(V8,V0,V9) | P_double_divide-{T}(V5,V9,V6)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #50: exists( #7, #48 ), references = 1, size of lhs = 10:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V6,V0), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V9,V11,V0) | P_multiply-{T}(V2,V1,V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #77: exists( #8, #75 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V1,V4,V0), P_double_divide-{F}(V5,V3,V4), V0 == V5 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #81: exists( #8, #79 ), references = 26, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #91: mergings( V2 == V3; #89 ), references = 3, size of lhs = 12:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V9,V8,V10), P_double_divide-{F}(V1,V10,V11), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V6,V12,V13), V13 == V9 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #110: mergings( V10 == V11, V3 == V4, V4 == V5; #106 ), references = 2, size of lhs = 8:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V6,V5), P_double_divide-{F}(V7,V3,V6), V0 == V7, P_double_divide-{F}(V8,V9,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #119: mergings( V3 == V4, V4 == V5, V5 == V6; #115 ), references = 19, size of lhs = 2:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #135: mergings( V0 == V3, V3 == V4, V4 == V5, V13 == V16; #129 ), references = 3, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V1), P_double_divide-{F}(V5,V3,V6), P_double_divide-{F}(V7,V5,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V7,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V9,V0,V12), P_double_divide-{F}(V11,V12,V13) | P_double_divide-{T}(V0,V6,V13)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #140: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7; #130 ), references = 1, size of lhs = 14:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V5,V7,V3), P_double_divide-{F}(V8,V6,V9), P_double_divide-{F}(V10,V8,V7), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V12,V4), P_double_divide-{F}(V11,V14,V10), P_double_divide-{F}(V15,V13,V14), P_double_divide-{F}(V15,V2,V16) | P_double_divide-{T}(V0,V9,V16)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #162: exists( #7, #159 ), references = 4, size of lhs = 13:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V6), P_double_divide-{F}(V12,V15,V9), P_double_divide-{F}(V16,V14,V15), V7 == V16 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #170: mergings( V8 == V10, V3 == V4, V4 == V5; #166 ), references = 2, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V4,V3,V0), V2 == V4, P_double_divide-{F}(V5,V6,V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #215: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V6; #209 ), references = 1, size of lhs = 14:
% 134.20/134.37 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}(V4,V3,V1), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V8,V0,V11), P_double_divide-{F}(V5,V12,V11), P_double_divide-{F}(V13,V7,V12), V0 == V13, P_double_divide-{F}(V14,V15,V10) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #220: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V6; #210 ), references = 1, size of lhs = 16:
% 134.20/134.37 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}(V4,V3,V1), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V8,V0,V11), P_double_divide-{F}(V12,V13,V10), P_double_divide-{F}(V14,V7,V15), P_double_divide-{F}(V5,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V11,V17,V18), V18 == V14 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #227: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V6; #221 ), references = 1, size of lhs = 14:
% 134.20/134.37 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}(V4,V3,V1), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V8,V0,V11), P_double_divide-{F}(V5,V12,V11), P_double_divide-{F}(V13,V7,V12), V0 == V13, P_double_divide-{F}(V14,V15,V10) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #232: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V6; #222 ), references = 1, size of lhs = 16:
% 134.20/134.37 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}(V4,V3,V1), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V8,V0,V11), P_double_divide-{F}(V12,V13,V10), P_double_divide-{F}(V14,V7,V15), P_double_divide-{F}(V5,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V11,V17,V18), V18 == V14 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #252: exists( #5, #162 ), references = 3, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V3,V6), P_double_divide-{F}(V1,V6,V7), P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V4), P_double_divide-{F}(V10,V13,V7), P_double_divide-{F}(V14,V12,V13), V5 == V14 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #268: mergings( V3 == V4, V4 == V5; #264 ), references = 2, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V0,V6,V9), P_double_divide-{F}(V9,V1,V10), V10 == V8, P_double_divide-{F}(V11,V12,V8) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #271: mergings( V3 == V4, V4 == V5; #265 ), references = 1, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V0,V5,V8), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V9), P_double_divide-{F}(V12,V15,V0), P_double_divide-{F}(V16,V14,V15), V16 == V7, P_double_divide-{F}(V17,V18,V0) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #276: mergings( V3 == V4, V4 == V5; #272 ), references = 2, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V0,V6,V9), P_double_divide-{F}(V9,V1,V10), V10 == V8, P_double_divide-{F}(V11,V12,V8) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #279: mergings( V3 == V4, V4 == V5; #273 ), references = 1, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V0,V5,V8), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V9), P_double_divide-{F}(V12,V15,V0), P_double_divide-{F}(V16,V14,V15), V16 == V7, P_double_divide-{F}(V17,V18,V0) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #294: mergings( V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #286 ), references = 3, size of lhs = 6:
% 134.20/134.37 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}(V1,V4,V0), P_double_divide-{F}(V5,V6,V4) | P_multiply-{T}(V6,V5,V3)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #300: mergings( V10 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #287 ), references = 1, size of lhs = 11:
% 134.20/134.37 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}(V0,V4,V2), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V8,V4), P_double_divide-{F}(V7,V10,V0), P_double_divide-{F}(V11,V9,V10), P_double_divide-{F}(V12,V13,V0) | P_multiply-{T}(V6,V5,V11)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #329: mergings( V15 == V18, V18 == V19, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #317 ), references = 1, size of lhs = 12:
% 134.20/134.37 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,V2), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V2,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V12,V3,V11), V8 == V12, P_double_divide-{F}(V13,V14,V10) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #371: mergings( V9 == V11, V10 == V14, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #363 ), references = 1, size of lhs = 7:
% 134.20/134.37 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), V3 == V2, P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V7,V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #383: mergings( V12 == V14, V13 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V8, V11 == V18, V17 == V14; #364 ), references = 1, size of lhs = 8:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V1,V0,V3), V3 == V2, P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V7,V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #391: mergings( V7 == V10, V3 == V0, V0 == V4, V4 == V5, V5 == V6; #384 ), references = 26, size of lhs = 4:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V3,V4,V2) | P_double_divide-{T}(V0,V1,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #401: mergings( V13 == V10, V3 == V4, V4 == V0, V0 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V7, V14 == V1; #385 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V5,V3) | P_double_divide-{T}(V0,V1,V2)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #426: exists( #5, #268 ), references = 10, size of lhs = 8:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V8,V1,V9) | P_double_divide-{T}(V3,V7,V9)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #427: exists( #5, #276 ), references = 1, size of lhs = 8:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V8,V1,V9) | P_double_divide-{T}(V3,V7,V9)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #463: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6, V13 == V14; #456 ), references = 2, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V1,V10,V9), P_double_divide-{F}(V11,V3,V10), P_double_divide-{F}(V12,V13,V8), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V11), P_double_divide-{F}(V14,V17,V8), P_double_divide-{F}(V18,V16,V17), V4 == V18 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #469: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6, V15 == V18; #457 ), references = 2, size of lhs = 17:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V7,V11), P_double_divide-{F}(V12,V0,V10), P_double_divide-{F}(V0,V13,V11), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V13), P_double_divide-{F}(V14,V17,V10), P_double_divide-{F}(V18,V16,V17), V18 == V4, P_double_divide-{F}(V19,V20,V10) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #477: mergings( V10 == V13, V3 == V4, V4 == V5, V5 == V6, V15 == V16; #470 ), references = 2, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V1,V10,V9), P_double_divide-{F}(V11,V3,V10), P_double_divide-{F}(V12,V13,V8), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V11), P_double_divide-{F}(V14,V17,V8), P_double_divide-{F}(V18,V16,V17), V4 == V18 | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #483: mergings( V10 == V13, V3 == V4, V4 == V5, V5 == V6, V17 == V20; #471 ), references = 1, size of lhs = 17:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V7,V11), P_double_divide-{F}(V12,V0,V10), P_double_divide-{F}(V0,V13,V11), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V13), P_double_divide-{F}(V14,V17,V10), P_double_divide-{F}(V18,V16,V17), V18 == V4, P_double_divide-{F}(V19,V20,V10) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #500: mergings( V4 == V8, V11 == V10, V3 == V8, V8 == V5, V5 == V6, V6 == V7; #492 ), references = 17, size of lhs = 5:
% 134.20/134.37 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}(V4,V5,V2) | P_multiply-{T}(V5,V4,V3)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #507: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #493 ), references = 13, size of lhs = 10:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V2), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V7,V2), P_double_divide-{F}(V9,V10,V2) | P_multiply-{T}(V10,V9,V8)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #522: mergings( V4 == V9, V9 == V10, V3 == V10, V10 == V5, V5 == V11; #516 ), references = 1, size of lhs = 12:
% 134.20/134.37 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_b3-{F}(V4), P_multiply-{F}(V0,V4,V4), P_c3-{F}(V5), P_double_divide-{F}(V5,V4,V6) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #529: mergings( V4 == V9, V9 == V10, V3 == V10, V10 == V5, V5 == V11; #523 ), references = 2, size of lhs = 11:
% 134.20/134.37 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_b3-{F}(V4), P_multiply-{F}(V0,V4,V4), P_c3-{F}(V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #539: mergings( V2 == V3; #537 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #542: mergings( V1 == V2; #540 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_b3-{F}(V1) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #545: mergings( V1 == V2; #543 ), references = 1, size of lhs = 4:
% 134.20/134.37 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #586: mergings( V4 == V14, V5 == V14, V11 == V17, V14 == V15, V3 == V15, V15 == V6, V6 == V16, V13 == V16; #577 ), references = 1, size of lhs = 18:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_c3-{F}(V7), P_double_divide-{F}(V7,V5,V6), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V4,V8,V0), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V6), P_double_divide-{F}(V4,V11,V12), P_double_divide-{F}(V9,V12,V6) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #613: mergings( V3 == V8, V8 == V7, V7 == V4, V4 == V5, V5 == V6; #605 ), references = 1, size of lhs = 13:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V4,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V3,V12), P_double_divide-{F}(V1,V12,V13), P_double_divide-{F}(V13,V0,V8), P_double_divide-{F}(V14,V15,V8) | P_multiply-{T}(V6,V5,V4)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #619: mergings( V3 == V8, V8 == V7, V7 == V4, V4 == V5, V5 == V6; #606 ), references = 1, size of lhs = 13:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V4,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V3,V12), P_double_divide-{F}(V1,V12,V13), P_double_divide-{F}(V13,V0,V8), P_double_divide-{F}(V14,V15,V8) | P_multiply-{T}(V6,V5,V4)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #625: mergings( V3 == V8, V8 == V7, V7 == V4, V4 == V5, V5 == V6; #607 ), references = 1, size of lhs = 16:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V7,V11), P_double_divide-{F}(V12,V0,V10), P_double_divide-{F}(V0,V13,V11), P_double_divide-{F}(V0,V14,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V15,V16,V10), P_double_divide-{F}(V17,V18,V16), P_double_divide-{F}(V19,V20,V10) | P_multiply-{T}(V18,V17,V4)
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #693: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V28, V28 == V29, V54 == V56, V3 == V4, V4 == V29, V39 == V41, V29 == V9, V9 == V27, V27 == V30, V31 == V30, V34 == V30; #678 ), references = 1, size of lhs = 43:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_c3-{F}(V7), P_double_divide-{F}(V7,V0,V8), P_multiply-{F}(V5,V7,V9), P_double_divide-{F}(V10,V0,V4), P_double_divide-{F}(V11,V0,V6), P_double_divide-{F}(V10,V7,V12), P_double_divide-{F}(V11,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V6,V15,V16), P_double_divide-{F}(V0,V17,V9), P_double_divide-{F}(V18,V0,V14), P_double_divide-{F}(V0,V19,V18), P_double_divide-{F}(V20,V8,V0), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V22,V16,V21), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V24,V0,V23), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V0,V26,V24), P_double_divide-{F}(V19,V27,V24), P_double_divide-{F}(V28,V29,V27), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V30,V32,V27), P_double_divide-{F}(V33,V31,V34), P_double_divide-{F}(V0,V34,V35), P_double_divide-{F}(V36,V33,V32), P_double_divide-{F}(V17,V37,V35), P_double_divide-{F}(V0,V36,V38), P_double_divide-{F}(V38,V0,V39), P_double_divide-{F}(V37,V40,V26), P_double_divide-{F}(V39,V40,V0), P_double_divide-{F}(V41,V0,V40) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #745: mergings( V4 == V22, V6 == V22, V22 == V21, V39 == V40, V3 == V5, V5 == V21, V21 == V7, V7 == V8, V9 == V8, V8 == V10, V10 == V20, V23 == V20; #732 ), references = 1, size of lhs = 32:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_c3-{F}(V7), P_multiply-{F}(V5,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V0,V12,V7), P_double_divide-{F}(V13,V0,V6), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V21,V20,V13), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V23,V22,V12), P_double_divide-{F}(V23,V16,V24), P_double_divide-{F}(V14,V24,V25), P_double_divide-{F}(V26,V27,V25), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V30,V29,V25), P_double_divide-{F}(V4,V30,V31), P_double_divide-{F}(V28,V31,V11) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #758: mergings( V4 == V22, V6 == V22, V22 == V21, V3 == V5, V5 == V21, V21 == V7, V7 == V8, V9 == V8, V8 == V10, V10 == V20, V23 == V20; #746 ), references = 1, size of lhs = 29:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_c3-{F}(V7), P_multiply-{F}(V5,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V0,V12,V7), P_double_divide-{F}(V13,V0,V6), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V4,V14,V16), P_double_divide-{F}(V17,V16,V11), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V15,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V24,V23,V13), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V26,V25,V12), P_double_divide-{F}(V26,V19,V18) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #785: mergings( V7 == V8, V8 == V19, V9 == V19, V19 == V18, V18 == V20, V20 == V21, V21 == V22, V29 == V27, V3 == V4, V4 == V5, V5 == V6, V6 == V22, V22 == V10, V10 == V17, V17 == V23, V24 == V23; #768 ), references = 1, size of lhs = 20:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_multiply-{F}(V5,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V5,V4,V9), P_double_divide-{F}(V4,V9,V10), P_double_divide-{F}(V11,V8,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V10,V12), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V0,V14,V6), P_double_divide-{F}(V15,V0,V14) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #811: mergings( V7 == V27, V8 == V9, V9 == V18, V10 == V18, V18 == V17, V17 == V19, V19 == V20, V20 == V21, V27 == V26, V30 == V28, V3 == V4, V4 == V5, V5 == V6, V6 == V26, V26 == V21, V21 == V11, V11 == V16, V16 == V22, V22 == V25; #791 ), references = 1, size of lhs = 17:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V6,V5,V9), P_double_divide-{F}(V10,V8,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V0,V11,V6), P_double_divide-{F}(V12,V0,V11) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #832: mergings( V7 == V26, V8 == V9, V9 == V18, V10 == V18, V18 == V17, V17 == V19, V19 == V20, V20 == V21, V26 == V25, V27 == V29, V3 == V4, V4 == V5, V5 == V6, V6 == V25, V25 == V21, V21 == V11, V11 == V16, V16 == V22, V22 == V24; #812 ), references = 2, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V4,V7,V5), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V0,V8,V6), P_double_divide-{F}(V9,V0,V8) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #857: mergings( V9 == V28, V10 == V11, V11 == V21, V12 == V21, V21 == V20, V20 == V22, V22 == V23, V23 == V24, V28 == V27, V29 == V31, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V27, V4 == V27, V27 == V24, V24 == V13, V13 == V19, V19 == V25, V25 == V26, V32 == V26; #834 ), references = 3, size of lhs = 17:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V5,V0), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V0,V6,V10), P_double_divide-{F}(V10,V0,V6) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #885: mergings( V7 == V8, V8 == V19, V2 == V19, V19 == V9, V10 == V11, V11 == V9, V9 == V18, V18 == V20, V20 == V21, V21 == V25, V25 == V24, V24 == V27, V3 == V4, V4 == V5, V5 == V6, V6 == V27, V27 == V12, V12 == V17, V17 == V22, V22 == V23; #864 ), references = 2, size of lhs = 12:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_c3-{F}(V4), P_b3-{F}(V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #913: mergings( V2 == V3; #911 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_c3-{F}(V1), P_b3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #929: exists( #8, #927 ), references = 3, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V5,V9), P_double_divide-{F}(V9,V0,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #948: mergings( V2 == V3; #946 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_c3-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #989: mergings( V4 == V12, V12 == V13, V3 == V13, V13 == V14; #982 ), references = 3, size of lhs = 13:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V4,V7,V5), P_double_divide-{F}(V8,V9,V6) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #994: mergings( V4 == V12, V12 == V13, V3 == V13, V13 == V14; #983 ), references = 2, size of lhs = 13:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V0,V5,V7), P_double_divide-{F}(V7,V0,V5), P_double_divide-{F}(V8,V9,V6) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #999: mergings( V4 == V13, V13 == V14, V3 == V14, V14 == V15; #984 ), references = 2, size of lhs = 15:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V5,V0), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V8,V0,V6), P_double_divide-{F}(V9,V10,V7) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1030: mergings( V2 == V3, V3 == V4; #1025 ), references = 2, size of lhs = 12:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V4,V7,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1033: mergings( V2 == V3, V3 == V4; #1026 ), references = 2, size of lhs = 12:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V0,V5,V7), P_double_divide-{F}(V7,V0,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1036: mergings( V2 == V3, V3 == V4; #1027 ), references = 1, size of lhs = 14:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V5,V0), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V0,V6,V8), P_double_divide-{F}(V8,V0,V6) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1068: mergings( V2 == V3, V3 == V4; #1065 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1072: mergings( V1 == V2, V2 == V3; #1069 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1076: mergings( V1 == V2, V2 == V3; #1073 ), references = 1, size of lhs = 4:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1080: mergings( V1 == V2, V2 == V3; #1077 ), references = 1, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1138: exists( #8, #1132 ), references = 2, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V4,V7,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1139: exists( #8, #1133 ), references = 3, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V0,V5,V7), P_double_divide-{F}(V7,V0,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1141: mergings( V2 == V3; #1137 ), references = 1, size of lhs = 11:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_c3-{F}(V3), P_a3-{F}(V4), P_b3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V4,V6,V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1165: mergings( V2 == V3; #1161 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_b3-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), P_c3-{F}(V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1169: mergings( V1 == V2; #1166 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_b3-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1201: mergings( V2 == V3; #1199 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), P_b3-{F}(V3), P_c3-{F}(V4) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1204: mergings( V1 == V2; #1202 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), P_b3-{F}(V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1207: mergings( V1 == V2; #1205 ), references = 1, size of lhs = 4:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1210: mergings( V1 == V2; #1208 ), references = 1, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1213: mergings( V1 == V2; #1211 ), references = 1, size of lhs = 2:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V0) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1232: exists( #8, #1226 ), references = 2, size of lhs = 9:
% 134.20/134.37 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_b3-{F}(V3), P_multiply-{F}(V0,V3,V3), P_c3-{F}(V4) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1233: exists( #8, #1227 ), references = 1, size of lhs = 9:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V4,V3,V6), P_double_divide-{F}(V3,V6,V4) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1234: exists( #8, #1228 ), references = 2, size of lhs = 9:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V4,V6), P_double_divide-{F}(V6,V0,V4) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1258: exists( #8, #1256 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_a2-{F}(V0), P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1260: exists( #13, #1257 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_a2-{F}(V0), P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_b3-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1262: exists( #12, #1259 ), references = 1, size of lhs = 4:
% 134.20/134.37 P_a2-{F}(V0), P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1309: exists( #8, #1303 ), references = 1, size of lhs = 7:
% 134.20/134.37 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1323: exists( #8, #1317 ), references = 1, size of lhs = 6:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1326: exists( #13, #1320 ), references = 1, size of lhs = 5:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1328: exists( #12, #1324 ), references = 1, size of lhs = 4:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1330: exists( #11, #1327 ), references = 1, size of lhs = 3:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1332: exists( #10, #1329 ), references = 1, size of lhs = 2:
% 134.20/134.37 P_identity-{F}(V0), P_a1-{F}(V1) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1334: exists( #9, #1331 ), references = 1, size of lhs = 1:
% 134.20/134.37 P_identity-{F}(V0) | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 #1336: exists( #6, #1333 ), references = 1, size of lhs = 0:
% 134.20/134.37 FALSE | FALSE
% 134.20/134.37 (used 0 times, uses = {})
% 134.20/134.37
% 134.20/134.37 number of learnt formulas = 94
% 134.20/134.37
% 134.20/134.37
% 134.20/134.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 134.20/134.37
% 134.20/134.37 randbase = 1
%------------------------------------------------------------------------------