TSTP Solution File: GRP580-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:04:08 EDT 2022
% Result : Unsatisfiable 1.83s 2.01s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 14:01:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.01 GeoParameters:
% 1.83/2.01
% 1.83/2.01 tptp_input = 1
% 1.83/2.01 tptp_output = 0
% 1.83/2.01 nonempty = 1
% 1.83/2.01 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.01 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.83/2.01
% 1.83/2.01
% 1.83/2.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.01
% 1.83/2.01 RuleSystem INPUT:
% 1.83/2.01
% 1.83/2.01 Initial Rules:
% 1.83/2.01 #0: input, references = 15, size of lhs = 9:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V3,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V1,V10), V10 == V4 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #1: input, references = 4, size of lhs = 6:
% 1.83/2.01 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
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #2: input, references = 5, size of lhs = 5:
% 1.83/2.01 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
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #3: input, references = 4, size of lhs = 5:
% 1.83/2.01 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
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #4: input, references = 6, size of lhs = 6:
% 1.83/2.01 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
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #5: input, references = 22, size of lhs = 2:
% 1.83/2.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #6: input, references = 4, size of lhs = 0:
% 1.83/2.01 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #7: input, references = 16, size of lhs = 2:
% 1.83/2.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #8: input, references = 15, size of lhs = 1:
% 1.83/2.01 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #9: input, references = 4, size of lhs = 0:
% 1.83/2.01 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #10: input, references = 4, size of lhs = 0:
% 1.83/2.01 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 number of initial rules = 11
% 1.83/2.01
% 1.83/2.01 Simplifiers:
% 1.83/2.01 #11: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #12: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #13: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #14: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #15: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #16: unsound, references = 3, size of lhs = 3:
% 1.83/2.01 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 number of simplifiers = 6
% 1.83/2.01
% 1.83/2.01 Learnt:
% 1.83/2.01 #19: exists( #5, #2 ), references = 10, size of lhs = 2:
% 1.83/2.01 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #20: exists( #5, #3 ), references = 2, size of lhs = 4:
% 1.83/2.01 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #24: exists( #5, #20 ), references = 20, size of lhs = 2:
% 1.83/2.01 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #25: exists( #5, #2 ), references = 37, size of lhs = 3:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #29: exists( #8, #27 ), references = 4, size of lhs = 5:
% 1.83/2.01 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
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #31: exists( #7, #28 ), references = 5, size of lhs = 3:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #39: exists( #8, #37 ), references = 1, size of lhs = 2:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0) | P_inverse-{T}(V0,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #50: exists( #8, #46 ), references = 3, size of lhs = 3:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V3)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #60: exists( #7, #4 ), references = 1, size of lhs = 4:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #64: exists( #7, #62 ), references = 1, size of lhs = 4:
% 1.83/2.01 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_double_divide-{F}(V2,V3,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #68: exists( #8, #66 ), references = 1, size of lhs = 3:
% 1.83/2.01 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #79: mergings( V2 == V3; #75 ), references = 8, size of lhs = 7:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V7,V1,V8) | P_inverse-{T}(V6,V8)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #80: exists( #8, #72 ), references = 25, size of lhs = 4:
% 1.83/2.01 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)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #96: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #87 ), references = 1, size of lhs = 15:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V5,V2,V10), P_double_divide-{F}(V1,V11,V12), P_double_divide-{F}(V12,V13,V10), P_double_divide-{F}(V11,V9,V14), P_double_divide-{F}(V14,V0,V15), V15 == V13 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #106: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #97 ), references = 1, size of lhs = 13:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V1,V5,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V11,V0,V12), V12 == V2 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #127: mergings( V6 == V7, V3 == V0, V4 == V8, V0 == V5, V7 == V8; #121 ), references = 6, size of lhs = 8:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V4,V1,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V1,V7), V7 == V3 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #152: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #147 ), references = 1, size of lhs = 9:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V1,V4) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #165: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #156 ), references = 2, size of lhs = 9:
% 1.83/2.01 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}(V1,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V2,V5,V3), P_double_divide-{F}(V6,V7,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #175: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #166 ), references = 1, size of lhs = 9:
% 1.83/2.01 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}(V1,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V2,V5,V3), P_double_divide-{F}(V6,V7,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #189: mergings( V2 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8, V8 == V13, V13 == V9, V10 == V9, V9 == V11, V12 == V11; #177 ), references = 1, size of lhs = 4:
% 1.83/2.01 P_a-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b-{F}(V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #203: exists( #5, #0 ), references = 15, size of lhs = 7:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V5,V6,V7), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V4,V8,V9) | P_double_divide-{T}(V9,V1,V6)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #219: exists( #7, #217 ), references = 2, size of lhs = 4:
% 1.83/2.01 P_inverse-{F}(V0,V0), P_identity-{F}(V1), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V1) | P_multiply-{T}(V3,V2,V1)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #237: exists( #8, #235 ), references = 1, size of lhs = 7:
% 1.83/2.01 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V3,V4,V2), V4 == V0, P_double_divide-{F}(V5,V6,V2), P_multiply-{F}(V6,V5,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #269: exists( #8, #263 ), references = 1, size of lhs = 3:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #280: mergings( V3 == V5, V5 == V6, V4 == V7; #276 ), references = 1, size of lhs = 11:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V5,V2), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V10,V1,V11), V11 == V7 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #332: mergings( V7 == V9, V3 == V5, V5 == V6, V4 == V9, V6 == V8, V9 == V11; #324 ), references = 1, size of lhs = 10:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V1), V1 == V3, P_double_divide-{F}(V4,V5,V1), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V1,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V9,V7,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #341: mergings( V9 == V10, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V10, V8 == V11, V10 == V12; #325 ), references = 1, size of lhs = 12:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V2,V3,V1), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V4,V1,V5), V5 == V1, P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V10,V9,V8), P_double_divide-{F}(V11,V12,V9) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #348: exists( #8, #344 ), references = 1, size of lhs = 1:
% 1.83/2.01 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #356: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #351 ), references = 4, size of lhs = 10:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V1,V10) | P_double_divide-{T}(V2,V5,V10)
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #394: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #389 ), references = 1, size of lhs = 9:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V7,V1,V4) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #407: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #398 ), references = 2, size of lhs = 9:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V1,V2,V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V5,V3), P_double_divide-{F}(V6,V7,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #417: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #408 ), references = 1, size of lhs = 9:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V1,V2,V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V5,V3), P_double_divide-{F}(V6,V7,V3) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #431: mergings( V2 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8, V8 == V13, V13 == V9, V10 == V9, V9 == V11, V12 == V11; #419 ), references = 1, size of lhs = 4:
% 1.83/2.01 P_b-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #439: exists( #5, #407 ), references = 1, size of lhs = 6:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V2) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #444: exists( #5, #165 ), references = 2, size of lhs = 6:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V1,V0,V3), P_double_divide-{F}(V0,V3,V1) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #498: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8, V8 == V9; #491 ), references = 3, size of lhs = 10:
% 1.83/2.01 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,V0,V5), P_double_divide-{F}(V6,V4,V3), P_double_divide-{F}(V1,V7,V6), P_double_divide-{F}(V8,V0,V7), V5 == V8, P_double_divide-{F}(V9,V10,V7) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #506: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8, V8 == V9; #499 ), references = 2, size of lhs = 10:
% 1.83/2.01 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,V0,V5), P_double_divide-{F}(V6,V4,V3), P_double_divide-{F}(V1,V7,V6), P_double_divide-{F}(V8,V0,V7), V5 == V8, P_double_divide-{F}(V9,V10,V7) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #522: mergings( V3 == V5, V2 == V4; #519 ), references = 2, size of lhs = 10:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V9,V10,V5), V10 == V6 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #592: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8, V8 == V9; #583 ), references = 1, size of lhs = 12:
% 1.83/2.01 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}(V1,V4,V5), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V8,V4), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V10,V6,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), V13 == V9 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #598: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8; #584 ), references = 1, size of lhs = 13:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V0,V6), V6 == V1, P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V7,V4), P_double_divide-{F}(V2,V10,V9), P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V14,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #604: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8; #585 ), references = 1, size of lhs = 13:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V0,V6), V6 == V1, P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V7,V4), P_double_divide-{F}(V2,V10,V9), P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V14,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #614: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8, V8 == V9; #605 ), references = 1, size of lhs = 12:
% 1.83/2.01 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}(V1,V4,V5), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V8,V4), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V10,V6,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), V13 == V9 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #620: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8; #606 ), references = 1, size of lhs = 13:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V0,V6), V6 == V1, P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V7,V4), P_double_divide-{F}(V2,V10,V9), P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V14,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #626: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V8; #607 ), references = 1, size of lhs = 13:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V0,V6), V6 == V1, P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V7,V4), P_double_divide-{F}(V2,V10,V9), P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V14,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #648: mergings( V10 == V11, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V11, V9 == V11, V11 == V12; #636 ), references = 2, size of lhs = 9:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V4,V2), P_double_divide-{F}(V1,V5,V6), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V0,V9), V9 == V5 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #657: mergings( V10 == V11, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V11, V9 == V11; #637 ), references = 1, size of lhs = 10:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V2,V0), P_double_divide-{F}(V2,V5,V4), P_double_divide-{F}(V5,V0,V6), V6 == V1, P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V9,V10,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #666: mergings( V10 == V11, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V11, V9 == V11; #638 ), references = 1, size of lhs = 10:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V2,V0), P_double_divide-{F}(V2,V5,V4), P_double_divide-{F}(V5,V0,V6), V6 == V1, P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V9,V10,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #679: mergings( V9 == V10, V3 == V5, V4 == V6, V5 == V0, V6 == V7, V0 == V8, V7 == V10, V8 == V10, V10 == V11; #667 ), references = 2, size of lhs = 7:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V1), P_double_divide-{F}(V5,V6,V4), V3 == V6 | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #690: mergings( V9 == V10, V3 == V5, V4 == V6, V5 == V0, V6 == V7, V0 == V8, V7 == V10, V8 == V10, V10 == V13, V13 == V14; #668 ), references = 1, size of lhs = 7:
% 1.83/2.01 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), V0 == V1, P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V4,V5,V0) | FALSE
% 1.83/2.01 (used 0 times, uses = {})
% 1.83/2.01
% 1.83/2.01 #748: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V7, V7 == V8, V8 == V9, V9 == V10; #738 ), references = 4, size of lhs = 12:
% 1.83/2.02 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,V0,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V1,V6,V7), P_double_divide-{F}(V7,V4,V3), P_double_divide-{F}(V8,V0,V6), P_double_divide-{F}(V9,V10,V6), P_double_divide-{F}(V11,V12,V8), P_double_divide-{F}(V12,V13,V11) | P_multiply-{T}(V10,V9,V13)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #758: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V10; #739 ), references = 1, size of lhs = 11:
% 1.83/2.02 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,V0,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V1,V6,V7), P_double_divide-{F}(V7,V4,V3), P_double_divide-{F}(V8,V0,V6), P_double_divide-{F}(V8,V4,V6), P_double_divide-{F}(V9,V10,V6) | P_multiply-{T}(V10,V9,V0)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #766: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V7, V7 == V8, V8 == V9, V9 == V10; #740 ), references = 1, size of lhs = 14:
% 1.83/2.02 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,V0,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V1,V6,V7), P_double_divide-{F}(V7,V4,V3), P_double_divide-{F}(V8,V0,V6), P_double_divide-{F}(V9,V10,V6), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V13,V11,V8), P_double_divide-{F}(V11,V14,V13), P_double_divide-{F}(V15,V16,V12) | P_multiply-{T}(V10,V9,V14)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #795: mergings( V7 == V8, V8 == V9, V3 == V5, V4 == V6, V5 == V9, V6 == V9; #786 ), references = 2, size of lhs = 8:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V7,V6,V2) | P_multiply-{T}(V5,V4,V3)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #803: mergings( V9 == V7, V8 == V7, V7 == V10, V3 == V5, V4 == V6, V5 == V10, V6 == V10; #787 ), references = 1, size of lhs = 8:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V7,V6,V2) | P_multiply-{T}(V5,V4,V3)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #812: mergings( V5 == V6, V6 == V10, V3 == V10, V4 == V10, V10 == V7, V7 == V8, V8 == V9, V9 == V11; #788 ), references = 1, size of lhs = 8:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V7,V6,V2) | P_multiply-{T}(V5,V4,V3)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #850: mergings( V5 == V6, V3 == V6, V4 == V6; #845 ), references = 1, size of lhs = 6:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V0,V3), V3 == V2, P_double_divide-{F}(V4,V5,V2) | FALSE
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #856: mergings( V0 == V5, V3 == V5, V4 == V5; #851 ), references = 2, size of lhs = 3:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2) | P_double_divide-{T}(V0,V1,V2)
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #872: mergings( V6 == V7, V7 == V8, V8 == V9, V2 == V4, V3 == V5, V4 == V9, V5 == V9; #864 ), references = 1, size of lhs = 4:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #881: mergings( V5 == V6, V6 == V7, V7 == V8, V1 == V3, V2 == V4, V3 == V8, V4 == V8; #873 ), references = 1, size of lhs = 3:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1) | FALSE
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #890: mergings( V5 == V6, V6 == V7, V7 == V8, V1 == V3, V2 == V4, V3 == V8, V4 == V8; #882 ), references = 1, size of lhs = 2:
% 1.83/2.02 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0) | FALSE
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 #894: exists( #6, #892 ), references = 1, size of lhs = 0:
% 1.83/2.02 FALSE | FALSE
% 1.83/2.02 (used 0 times, uses = {})
% 1.83/2.02
% 1.83/2.02 number of learnt formulas = 61
% 1.83/2.02
% 1.83/2.02
% 1.83/2.02 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.02
% 1.83/2.02 randbase = 1
%------------------------------------------------------------------------------