TSTP Solution File: GRP562-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:04:06 EDT 2022
% Result : Unsatisfiable 14.85s 15.09s
% Output : Refutation 14.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 13:47:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 14.85/15.09 GeoParameters:
% 14.85/15.09
% 14.85/15.09 tptp_input = 1
% 14.85/15.09 tptp_output = 0
% 14.85/15.09 nonempty = 1
% 14.85/15.09 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.85/15.09 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 14.85/15.09
% 14.85/15.09
% 14.85/15.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.85/15.09 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.85/15.09
% 14.85/15.09 RuleSystem INPUT:
% 14.85/15.09
% 14.85/15.09 Initial Rules:
% 14.85/15.09 #0: input, references = 16, size of lhs = 6:
% 14.85/15.09 P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V0,V2,V6), P_divide-{F}(V5,V6,V7), V7 == V1 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #1: input, references = 6, size of lhs = 4:
% 14.85/15.09 P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #2: input, references = 8, size of lhs = 5:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #3: input, references = 23, size of lhs = 2:
% 14.85/15.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #4: input, references = 18, size of lhs = 1:
% 14.85/15.09 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #5: input, references = 24, size of lhs = 2:
% 14.85/15.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #6: input, references = 4, size of lhs = 0:
% 14.85/15.09 FALSE | EXISTS V0: P_b2-{T}(V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #7: input, references = 4, size of lhs = 0:
% 14.85/15.09 FALSE | EXISTS V0: P_a2-{T}(V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 number of initial rules = 8
% 14.85/15.09
% 14.85/15.09 Simplifiers:
% 14.85/15.09 #8: unsound, references = 3, size of lhs = 3:
% 14.85/15.09 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #9: unsound, references = 3, size of lhs = 3:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #10: unsound, references = 3, size of lhs = 3:
% 14.85/15.09 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #11: unsound, references = 3, size of lhs = 3:
% 14.85/15.09 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #12: unsound, references = 3, size of lhs = 3:
% 14.85/15.09 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 number of simplifiers = 5
% 14.85/15.09
% 14.85/15.09 Learnt:
% 14.85/15.09 #14: exists( #3, #1 ), references = 33, size of lhs = 2:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #17: exists( #5, #1 ), references = 7, size of lhs = 2:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #21: exists( #3, #0 ), references = 27, size of lhs = 4:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V3,V4,V5), P_divide-{F}(V2,V4,V6) | P_divide-{T}(V5,V6,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #25: exists( #3, #23 ), references = 4, size of lhs = 7:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V4,V5), P_divide-{F}(V6,V7,V3), P_inverse-{F}(V8,V7), V0 == V8 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #31: exists( #3, #29 ), references = 1, size of lhs = 5:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V0,V4), P_divide-{F}(V0,V4,V3), P_inverse-{F}(V5,V4) | P_divide-{T}(V3,V0,V5)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #35: exists( #5, #33 ), references = 1, size of lhs = 4:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V2,V1), P_inverse-{F}(V3,V1) | P_multiply-{T}(V2,V0,V3)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #40: exists( #3, #25 ), references = 1, size of lhs = 3:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V0 == V2 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #48: mergings( V7 == V9, V8 == V10; #45 ), references = 1, size of lhs = 10:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_inverse-{F}(V3,V4), P_divide-{F}(V4,V4,V2), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V7,V5,V8), P_divide-{F}(V7,V9,V5) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #56: exists( #3, #54 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V2,V7,V5), P_divide-{F}(V4,V8,V7), P_divide-{F}(V9,V8,V3), P_inverse-{F}(V9,V10), P_divide-{F}(V11,V10,V6), P_divide-{F}(V11,V0,V12), P_inverse-{F}(V13,V12) | P_divide-{T}(V3,V7,V13)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #109: mergings( V1 == V0, V5 == V6; #106 ), references = 1, size of lhs = 6:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V1), P_divide-{F}(V4,V1,V3) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #135: mergings( V1 == V4; #133 ), references = 7, size of lhs = 7:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V1,V6), P_divide-{F}(V5,V6,V7), P_divide-{F}(V2,V7,V8), V8 == V0 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #139: mergings( V5 == V7; #137 ), references = 3, size of lhs = 8:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V4,V6,V7), P_multiply-{F}(V7,V0,V8), P_divide-{F}(V5,V8,V9), V9 == V2 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #170: exists( #3, #135 ), references = 14, size of lhs = 5:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V1,V6), P_divide-{F}(V5,V6,V7) | P_divide-{T}(V2,V7,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #182: mergings( V1 == V4; #179 ), references = 1, size of lhs = 10:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), V3 == V0, P_divide-{F}(V5,V4,V6), P_inverse-{F}(V6,V7), P_inverse-{F}(V7,V8), P_divide-{F}(V9,V8,V9), P_divide-{F}(V5,V10,V11), P_divide-{F}(V1,V10,V11) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #184: mergings( V1 == V4; #180 ), references = 2, size of lhs = 9:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6), P_divide-{F}(V3,V7,V8), P_divide-{F}(V1,V7,V9), P_divide-{F}(V8,V9,V10), V10 == V0 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #202: mergings( V1 == V4; #200 ), references = 1, size of lhs = 6:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_inverse-{F}(V3,V4), V2 == V3, P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #205: mergings( V2 == V0; #203 ), references = 3, size of lhs = 4:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V5) | P_divide-{T}(V0,V0,V2)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #209: exists( #4, #207 ), references = 2, size of lhs = 7:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_multiply-{F}(V3,V2,V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #232: mergings( V1 == V4; #228 ), references = 1, size of lhs = 8:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V5), P_divide-{F}(V2,V0,V6), P_divide-{F}(V0,V7,V3), P_inverse-{F}(V8,V7), V6 == V8 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #235: mergings( V1 == V4, V4 == V5; #229 ), references = 1, size of lhs = 8:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V7,V2,V8), P_divide-{F}(V8,V0,V9), V9 == V5 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #239: mergings( V3 == V7, V1 == V4, V4 == V5; #230 ), references = 1, size of lhs = 10:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V5), P_inverse-{F}(V6,V7), P_inverse-{F}(V7,V8), P_divide-{F}(V9,V8,V9), P_divide-{F}(V6,V3,V10), P_divide-{F}(V10,V1,V11), V11 == V0 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #246: mergings( V5 == V8; #242 ), references = 1, size of lhs = 8:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6), P_divide-{F}(V7,V4,V7), P_divide-{F}(V2,V1,V8), V8 == V0 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #247: exists( #4, #241 ), references = 1, size of lhs = 9:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V2,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V7,V8), P_divide-{F}(V0,V6,V9), P_divide-{F}(V9,V5,V10), V10 == V4 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #248: exists( #4, #230 ), references = 1, size of lhs = 9:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V4), P_inverse-{F}(V5,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V7,V8), P_divide-{F}(V5,V2,V9), P_divide-{F}(V9,V1,V10), V10 == V0 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #257: mergings( V6 == V9, V1 == V4; #252 ), references = 3, size of lhs = 6:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6), P_divide-{F}(V7,V4,V7) | P_multiply-{T}(V2,V0,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #259: mergings( V1 == V4; #253 ), references = 1, size of lhs = 7:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V7,V8), P_divide-{F}(V2,V6,V9) | P_multiply-{T}(V9,V0,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #261: mergings( V1 == V4; #254 ), references = 1, size of lhs = 7:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V4), P_inverse-{F}(V5,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V7,V8), P_divide-{F}(V5,V2,V9) | P_multiply-{T}(V9,V0,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #320: exists( #5, #317 ), references = 1, size of lhs = 9:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V2,V4), P_divide-{F}(V5,V3,V1), P_inverse-{F}(V6,V7), V4 == V6, P_divide-{F}(V8,V7,V8), P_inverse-{F}(V8,V9), P_divide-{F}(V5,V9,V10) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #399: exists( #3, #397 ), references = 1, size of lhs = 7:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V0,V5,V7), P_divide-{F}(V7,V0,V8), V8 == V6 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #401: exists( #3, #398 ), references = 9, size of lhs = 5:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V0,V5,V7) | P_divide-{T}(V7,V0,V6)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #441: mergings( V7 == V8, V8 == V1; #438 ), references = 3, size of lhs = 8:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_inverse-{F}(V3,V4), P_divide-{F}(V4,V4,V2), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V7,V4) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #447: mergings( V1 == V0, V3 == V4, V0 == V6; #443 ), references = 3, size of lhs = 5:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V4,V1) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #458: mergings( V4 == V6, V5 == V8, V1 == V6, V3 == V7, V6 == V9, V9 == V10; #451 ), references = 1, size of lhs = 6:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V5) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #461: mergings( V2 == V3; #459 ), references = 1, size of lhs = 5:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V4) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #478: mergings( V1 == V4; #474 ), references = 1, size of lhs = 9:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V2,V7), V7 == V0, P_divide-{F}(V8,V6,V9), P_inverse-{F}(V9,V10), P_divide-{F}(V4,V10,V8) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #480: mergings( V1 == V4; #475 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V1,V6), P_inverse-{F}(V7,V6), P_inverse-{F}(V5,V8), P_divide-{F}(V2,V5,V9), P_divide-{F}(V9,V0,V10), V10 == V7, P_divide-{F}(V11,V8,V12), P_divide-{F}(V11,V13,V1) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #482: mergings( V1 == V4; #476 ), references = 1, size of lhs = 12:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V7,V8), P_inverse-{F}(V6,V9), P_divide-{F}(V5,V8,V10), P_inverse-{F}(V11,V10), V0 == V11, P_divide-{F}(V12,V13,V8), P_divide-{F}(V12,V9,V14) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #487: exists( #4, #447 ), references = 3, size of lhs = 4:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #558: exists( #5, #552 ), references = 1, size of lhs = 8:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V2,V4), P_inverse-{F}(V6,V7), P_divide-{F}(V5,V7,V8) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #560: mergings( V5 == V6; #556 ), references = 1, size of lhs = 8:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V2,V4), P_inverse-{F}(V6,V7), P_divide-{F}(V5,V7,V8) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #562: mergings( V8 == V9; #557 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_inverse-{F}(V3,V4), P_divide-{F}(V4,V4,V2), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V5,V7), P_inverse-{F}(V9,V10), P_divide-{F}(V8,V10,V11) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #617: exists( #3, #611 ), references = 2, size of lhs = 6:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V2,V4), P_divide-{F}(V4,V5,V6) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #619: mergings( V8 == V9; #616 ), references = 1, size of lhs = 9:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_inverse-{F}(V3,V4), P_divide-{F}(V4,V4,V2), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V7,V8,V9) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #633: mergings( V4 == V1; #630 ), references = 1, size of lhs = 7:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V2,V7) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #638: mergings( V4 == V1, V1 == V6; #635 ), references = 1, size of lhs = 6:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #640: exists( #4, #635 ), references = 1, size of lhs = 5:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #642: exists( #4, #639 ), references = 1, size of lhs = 4:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V2,V4) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #646: mergings( V1 == V5; #644 ), references = 1, size of lhs = 3:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V2) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #648: exists( #4, #644 ), references = 1, size of lhs = 2:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #659: mergings( V1 == V4, V4 == V5; #656 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V3,V5,V6), P_inverse-{F}(V7,V6), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V9,V2), P_divide-{F}(V10,V11,V7), P_inverse-{F}(V12,V11), P_divide-{F}(V12,V7,V13), V13 == V8 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #669: exists( #3, #663 ), references = 2, size of lhs = 13:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_inverse-{F}(V7,V8), P_inverse-{F}(V8,V9), P_divide-{F}(V2,V9,V10), P_divide-{F}(V4,V8,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V14,V13,V11), P_divide-{F}(V14,V4,V15), P_divide-{F}(V7,V15,V16), V16 == V12 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #671: mergings( V10 == V15; #667 ), references = 1, size of lhs = 12:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V2,V6,V7), P_divide-{F}(V4,V4,V8), P_inverse-{F}(V9,V10), P_inverse-{F}(V10,V11), P_divide-{F}(V0,V11,V12), P_divide-{F}(V10,V5,V13), P_divide-{F}(V9,V8,V14), V14 == V9 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #673: mergings( V11 == V16; #668 ), references = 1, size of lhs = 13:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V2,V7,V8), P_multiply-{F}(V5,V4,V9), P_inverse-{F}(V10,V11), P_inverse-{F}(V11,V12), P_divide-{F}(V0,V12,V13), P_divide-{F}(V11,V6,V14), P_divide-{F}(V10,V9,V15), V15 == V10 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #677: exists( #3, #666 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_inverse-{F}(V7,V8), P_inverse-{F}(V8,V9), P_divide-{F}(V2,V9,V10), P_divide-{F}(V4,V8,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V14,V13,V11), P_divide-{F}(V14,V4,V15) | P_divide-{T}(V7,V15,V12)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #679: mergings( V11 == V0; #675 ), references = 1, size of lhs = 10:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V2,V6,V7), P_divide-{F}(V4,V4,V8), P_inverse-{F}(V9,V10), P_inverse-{F}(V10,V11), P_divide-{F}(V0,V11,V12), P_divide-{F}(V10,V5,V13) | P_divide-{T}(V9,V8,V9)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #681: mergings( V12 == V0; #676 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V2,V7,V8), P_multiply-{F}(V5,V4,V9), P_inverse-{F}(V10,V11), P_inverse-{F}(V11,V12), P_divide-{F}(V0,V12,V13), P_divide-{F}(V11,V6,V14) | P_divide-{T}(V10,V9,V10)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #701: mergings( V1 == V4; #699 ), references = 1, size of lhs = 12:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_inverse-{F}(V7,V8), P_divide-{F}(V3,V8,V9), P_divide-{F}(V7,V1,V10), P_inverse-{F}(V11,V12), P_divide-{F}(V13,V12,V10), P_divide-{F}(V13,V7,V14), P_divide-{F}(V0,V14,V15), V15 == V11 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #703: exists( #4, #699 ), references = 1, size of lhs = 11:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V2,V7,V8), P_divide-{F}(V6,V1,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V12,V11,V9), P_divide-{F}(V12,V6,V13), P_divide-{F}(V0,V13,V14), V14 == V10 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #708: mergings( V1 == V4, V4 == V5; #705 ), references = 2, size of lhs = 8:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V2,V4), P_divide-{F}(V0,V4,V5), V5 == V0, P_inverse-{F}(V6,V7), P_divide-{F}(V6,V3,V8), P_divide-{F}(V9,V7,V10) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #712: mergings( V3 == V0, V0 == V5; #709 ), references = 3, size of lhs = 6:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V2,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V3,V7), P_divide-{F}(V8,V6,V9) | P_divide-{T}(V0,V4,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #714: exists( #4, #708 ), references = 2, size of lhs = 7:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V2,V4), V4 == V3, P_inverse-{F}(V5,V6), P_divide-{F}(V5,V1,V7), P_divide-{F}(V8,V6,V9) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #739: exists( #3, #737 ), references = 1, size of lhs = 10:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V4,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V6,V1,V8), V0 == V8, P_inverse-{F}(V9,V10), P_divide-{F}(V9,V5,V11), P_divide-{F}(V12,V10,V13) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #742: exists( #4, #740 ), references = 1, size of lhs = 14:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V6,V4,V7), P_inverse-{F}(V8,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V10,V12), P_inverse-{F}(V12,V13), P_divide-{F}(V12,V9,V14), V8 == V14, P_inverse-{F}(V15,V16), P_divide-{F}(V15,V11,V17), P_divide-{F}(V18,V16,V19) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #746: mergings( V1 == V4; #744 ), references = 3, size of lhs = 12:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V2,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V3,V7), P_divide-{F}(V8,V6,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V10,V12), P_inverse-{F}(V12,V13), P_inverse-{F}(V14,V15), P_divide-{F}(V14,V11,V16), P_divide-{F}(V17,V15,V18) | P_multiply-{T}(V12,V0,V0)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #753: exists( #4, #749 ), references = 2, size of lhs = 16:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V6,V4,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V8,V8,V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V12,V9,V14), P_divide-{F}(V15,V13,V16), P_inverse-{F}(V17,V18), P_divide-{F}(V10,V18,V19), P_divide-{F}(V19,V20,V21), P_divide-{F}(V17,V21,V22), V22 == V20 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #754: exists( #4, #750 ), references = 2, size of lhs = 17:
% 14.85/15.09 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V2,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V3,V7), P_divide-{F}(V8,V6,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V10,V12), P_inverse-{F}(V12,V13), P_inverse-{F}(V14,V15), P_divide-{F}(V14,V11,V16), P_divide-{F}(V17,V15,V18), P_inverse-{F}(V19,V20), P_divide-{F}(V12,V20,V21), P_multiply-{F}(V21,V0,V22), P_divide-{F}(V19,V22,V23), V23 == V1 | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #764: exists( #4, #760 ), references = 3, size of lhs = 25:
% 14.85/15.09 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_divide-{F}(V3,V3,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V5,V1), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_divide-{F}(V7,V2,V9), P_divide-{F}(V10,V8,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V12,V12,V14), P_inverse-{F}(V15,V16), P_divide-{F}(V15,V13,V17), P_divide-{F}(V18,V16,V19), P_inverse-{F}(V20,V21), P_divide-{F}(V20,V4,V22), P_divide-{F}(V23,V21,V24), P_inverse-{F}(V25,V26), P_divide-{F}(V25,V25,V27), P_inverse-{F}(V28,V29), P_divide-{F}(V28,V26,V30), P_divide-{F}(V31,V29,V32), P_inverse-{F}(V33,V34), P_divide-{F}(V33,V6,V35), P_divide-{F}(V36,V34,V37) | P_inverse-{T}(V1,V1)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #765: exists( #4, #761 ), references = 1, size of lhs = 25:
% 14.85/15.09 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_divide-{F}(V3,V3,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V5,V1), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_divide-{F}(V7,V2,V9), P_divide-{F}(V10,V8,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V12,V12,V14), P_inverse-{F}(V15,V16), P_divide-{F}(V15,V13,V17), P_divide-{F}(V18,V16,V19), P_inverse-{F}(V20,V21), P_divide-{F}(V20,V4,V22), P_divide-{F}(V23,V21,V24), P_inverse-{F}(V25,V26), P_divide-{F}(V25,V25,V27), P_inverse-{F}(V28,V29), P_divide-{F}(V28,V26,V30), P_divide-{F}(V31,V29,V32), P_inverse-{F}(V33,V34), P_divide-{F}(V33,V6,V35), P_divide-{F}(V36,V34,V37) | P_inverse-{T}(V1,V1)
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #772: exists( #4, #767 ), references = 1, size of lhs = 9:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6), P_divide-{F}(V7,V4,V7), P_a2-{F}(V8) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #775: mergings( V5 == V10, V6 == V11; #771 ), references = 2, size of lhs = 9:
% 14.85/15.09 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V6,V7), P_divide-{F}(V8,V5,V8), P_divide-{F}(V9,V5,V9) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #783: exists( #4, #775 ), references = 2, size of lhs = 8:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V6), P_divide-{F}(V7,V4,V7), P_divide-{F}(V8,V4,V8) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #787: exists( #3, #785 ), references = 2, size of lhs = 4:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V2), P_inverse-{F}(V3,V4) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #811: mergings( V1 == V6, V6 == V8, V8 == V9, V9 == V10, V7 == V11, V10 == V12, V11 == V13, V12 == V0; #800 ), references = 1, size of lhs = 5:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V1), P_divide-{F}(V2,V2,V3), P_inverse-{F}(V2,V4), P_inverse-{F}(V5,V6) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #816: mergings( V4 == V0, V0 == V6; #812 ), references = 1, size of lhs = 4:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V5) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #819: exists( #4, #812 ), references = 1, size of lhs = 2:
% 14.85/15.09 P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #822: exists( #7, #817 ), references = 1, size of lhs = 1:
% 14.85/15.09 P_b2-{F}(V0) | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 #825: exists( #6, #820 ), references = 1, size of lhs = 0:
% 14.85/15.09 FALSE | FALSE
% 14.85/15.09 (used 0 times, uses = {})
% 14.85/15.09
% 14.85/15.09 number of learnt formulas = 77
% 14.85/15.09
% 14.85/15.09
% 14.85/15.09 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.85/15.09
% 14.85/15.09 randbase = 1
%------------------------------------------------------------------------------