TSTP Solution File: GRP564-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:04:07 EDT 2022
% Result : Unsatisfiable 15.22s 15.38s
% Output : Refutation 15.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 14:27:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 15.22/15.38 GeoParameters:
% 15.22/15.38
% 15.22/15.38 tptp_input = 1
% 15.22/15.38 tptp_output = 0
% 15.22/15.38 nonempty = 1
% 15.22/15.38 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.22/15.38 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 15.22/15.38
% 15.22/15.38
% 15.22/15.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.22/15.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.22/15.38
% 15.22/15.38 RuleSystem INPUT:
% 15.22/15.38
% 15.22/15.38 Initial Rules:
% 15.22/15.38 #0: input, references = 14, size of lhs = 6:
% 15.22/15.38 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
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1: input, references = 6, size of lhs = 4:
% 15.22/15.38 P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #2: input, references = 6, size of lhs = 4:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V3), P_multiply-{F}(V1,V0,V3) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #3: input, references = 27, size of lhs = 2:
% 15.22/15.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #4: input, references = 13, size of lhs = 1:
% 15.22/15.38 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #5: input, references = 16, size of lhs = 2:
% 15.22/15.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #6: input, references = 4, size of lhs = 0:
% 15.22/15.38 FALSE | EXISTS V0: P_a-{T}(V0)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #7: input, references = 4, size of lhs = 0:
% 15.22/15.38 FALSE | EXISTS V0: P_b-{T}(V0)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 number of initial rules = 8
% 15.22/15.38
% 15.22/15.38 Simplifiers:
% 15.22/15.38 #8: unsound, references = 3, size of lhs = 3:
% 15.22/15.38 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #9: unsound, references = 3, size of lhs = 3:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #10: unsound, references = 3, size of lhs = 3:
% 15.22/15.38 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #11: unsound, references = 3, size of lhs = 3:
% 15.22/15.38 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #12: unsound, references = 3, size of lhs = 3:
% 15.22/15.38 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 number of simplifiers = 5
% 15.22/15.38
% 15.22/15.38 Learnt:
% 15.22/15.38 #14: exists( #3, #1 ), references = 23, size of lhs = 2:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #17: exists( #5, #2 ), references = 1, size of lhs = 2:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #19: exists( #5, #1 ), references = 3, size of lhs = 2:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #23: exists( #5, #21 ), references = 4, size of lhs = 5:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V6,V1), P_divide-{F}(V5,V6,V7) | P_multiply-{T}(V7,V0,V2)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #32: mergings( V4 == V5; #29 ), references = 1, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V6,V1), P_divide-{F}(V7,V6,V1), P_divide-{F}(V7,V8,V5), P_inverse-{F}(V9,V8), V2 == V9 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #35: mergings( V4 == V5, V5 == V7; #30 ), references = 1, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V7,V1), P_divide-{F}(V8,V7,V1), P_divide-{F}(V8,V9,V6), P_inverse-{F}(V10,V9), V10 == V3 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #41: exists( #3, #0 ), references = 22, size of lhs = 4:
% 15.22/15.38 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)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #47: mergings( V4 == V5; #45 ), references = 5, size of lhs = 11:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V8,V1), P_inverse-{F}(V9,V10), P_divide-{F}(V11,V10,V5), P_divide-{F}(V11,V3,V12), P_divide-{F}(V2,V12,V13), V13 == V9 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #52: exists( #5, #50 ), references = 1, size of lhs = 6:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V3,V3,V1), P_divide-{F}(V3,V4,V1), P_inverse-{F}(V5,V1) | P_multiply-{T}(V3,V0,V5)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #70: exists( #5, #68 ), references = 4, size of lhs = 10:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V3,V7,V8), V8 == V4, P_divide-{F}(V9,V6,V10), P_divide-{F}(V9,V11,V1) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #72: exists( #3, #69 ), references = 1, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V8,V6,V9), P_divide-{F}(V8,V10,V1) | P_divide-{T}(V3,V7,V4)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #74: exists( #3, #47 ), references = 3, size of lhs = 10:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V6,V7,V1), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V9,V5), P_divide-{F}(V10,V3,V11), P_divide-{F}(V2,V11,V12), V12 == V8 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #144: exists( #5, #142 ), references = 1, size of lhs = 8:
% 15.22/15.38 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}(V7,V1,V6), P_divide-{F}(V7,V8,V5), P_inverse-{F}(V9,V8), V2 == V9 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #175: exists( #5, #173 ), references = 4, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V1,V7), P_divide-{F}(V6,V7,V8), P_divide-{F}(V3,V8,V9), V9 == V2 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #177: exists( #3, #174 ), references = 3, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V1,V7), P_divide-{F}(V6,V7,V8), P_divide-{F}(V3,V8,V9), V9 == V2 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #183: exists( #3, #70 ), references = 1, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V8,V6,V9), P_divide-{F}(V8,V10,V1) | P_divide-{T}(V3,V7,V4)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #184: exists( #3, #175 ), references = 2, size of lhs = 6:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V1,V7), P_divide-{F}(V6,V7,V8) | P_divide-{T}(V3,V8,V2)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #338: exists( #3, #336 ), references = 3, size of lhs = 12:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V1,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V8,V2,V10), P_divide-{F}(V6,V9,V11), P_divide-{F}(V11,V7,V12), P_divide-{F}(V3,V13,V12), P_inverse-{F}(V14,V13), V10 == V14 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #388: exists( #3, #338 ), references = 1, size of lhs = 10:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V1,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V6,V9,V10), P_divide-{F}(V10,V7,V11), P_divide-{F}(V3,V12,V11), P_inverse-{F}(V13,V12) | P_divide-{T}(V8,V2,V13)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #428: exists( #3, #426 ), references = 2, size of lhs = 10:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V3,V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V0,V6,V8), P_divide-{F}(V2,V7,V9), P_divide-{F}(V9,V4,V10), P_divide-{F}(V10,V11,V5), P_inverse-{F}(V12,V11), V8 == V12 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #478: exists( #3, #74 ), references = 1, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V6,V7,V1), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V9,V5), P_divide-{F}(V10,V3,V11) | P_divide-{T}(V2,V11,V8)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #479: exists( #3, #47 ), references = 1, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V8,V1), P_inverse-{F}(V9,V10), P_divide-{F}(V11,V10,V5), P_divide-{F}(V11,V3,V12) | P_divide-{T}(V2,V12,V9)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #586: exists( #3, #70 ), references = 2, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V3,V7,V8), V8 == V4, P_divide-{F}(V9,V10,V1) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #676: exists( #5, #672 ), references = 1, size of lhs = 14:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_divide-{F}(V2,V5,V6), P_inverse-{F}(V7,V8), P_divide-{F}(V9,V8,V10), P_divide-{F}(V9,V4,V11), P_divide-{F}(V12,V1,V11), P_divide-{F}(V12,V13,V10), P_inverse-{F}(V14,V13), P_divide-{F}(V7,V15,V14), P_inverse-{F}(V16,V15), V6 == V16 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #782: exists( #3, #775 ), references = 1, size of lhs = 11:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V1), P_divide-{F}(V6,V2,V7), P_divide-{F}(V6,V8,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V10,V12), P_divide-{F}(V4,V12,V13), V13 == V5 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #783: exists( #3, #777 ), references = 1, size of lhs = 12:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V2,V5), P_divide-{F}(V4,V6,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V8,V1,V10), P_inverse-{F}(V11,V12), P_divide-{F}(V13,V12,V10), P_divide-{F}(V13,V8,V14), P_divide-{F}(V3,V14,V15), V15 == V11 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #784: exists( #3, #778 ), references = 1, size of lhs = 14:
% 15.22/15.38 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}(V6,V6,V7), P_inverse-{F}(V8,V9), P_inverse-{F}(V9,V10), P_inverse-{F}(V11,V9), P_inverse-{F}(V12,V9), P_inverse-{F}(V13,V9), P_divide-{F}(V12,V7,V14), V14 == V13, P_divide-{F}(V15,V10,V3), P_divide-{F}(V15,V4,V16) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #791: exists( #5, #785 ), references = 1, size of lhs = 12:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2), P_inverse-{F}(V6,V2), P_multiply-{F}(V7,V0,V8), P_divide-{F}(V7,V9,V10), P_inverse-{F}(V11,V12), P_divide-{F}(V11,V11,V13), P_divide-{F}(V5,V13,V14), V14 == V6 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #792: exists( #5, #787 ), references = 1, size of lhs = 15:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2), P_inverse-{F}(V6,V2), P_multiply-{F}(V7,V0,V8), P_inverse-{F}(V9,V10), P_divide-{F}(V11,V10,V8), P_divide-{F}(V11,V12,V13), P_inverse-{F}(V14,V13), P_divide-{F}(V14,V14,V15), P_divide-{F}(V5,V15,V16), V16 == V6, P_divide-{F}(V7,V12,V17) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #793: exists( #5, #786 ), references = 1, size of lhs = 13:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_multiply-{F}(V5,V0,V6), P_divide-{F}(V5,V7,V8), P_inverse-{F}(V9,V10), P_divide-{F}(V9,V2,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V14,V13,V11), P_divide-{F}(V14,V9,V15), P_divide-{F}(V4,V15,V16), V16 == V12 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #798: exists( #5, #788 ), references = 1, size of lhs = 11:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2), P_inverse-{F}(V6,V2), P_inverse-{F}(V7,V8), P_divide-{F}(V7,V7,V9), P_divide-{F}(V5,V9,V10), V10 == V6, P_divide-{F}(V11,V12,V13) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #801: mergings( V12 == V16, V3 == V5; #796 ), references = 1, size of lhs = 12:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V3), P_inverse-{F}(V6,V3), P_inverse-{F}(V7,V3), P_inverse-{F}(V8,V9), P_divide-{F}(V8,V8,V10), P_divide-{F}(V6,V10,V11), V11 == V7, P_divide-{F}(V12,V13,V9) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #802: exists( #5, #790 ), references = 1, size of lhs = 12:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V2,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V9,V7), P_divide-{F}(V10,V5,V11), P_divide-{F}(V4,V11,V12), V12 == V8, P_divide-{F}(V13,V14,V15) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #806: exists( #4, #795 ), references = 3, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V3,V7,V8), V8 == V4, P_divide-{F}(V9,V10,V11) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #808: mergings( V7 == V12; #804 ), references = 1, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V3,V7,V8), V8 == V4, P_divide-{F}(V9,V10,V6) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #815: exists( #3, #811 ), references = 1, size of lhs = 13:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), V0 == V7, P_inverse-{F}(V8,V5), P_divide-{F}(V9,V1,V8), P_inverse-{F}(V9,V10), P_divide-{F}(V2,V10,V11), P_divide-{F}(V12,V12,V9), P_inverse-{F}(V12,V13), P_divide-{F}(V14,V15,V16) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #817: mergings( V14 == V17; #814 ), references = 1, size of lhs = 13:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), V0 == V7, P_inverse-{F}(V8,V5), P_divide-{F}(V9,V1,V8), P_inverse-{F}(V9,V10), P_divide-{F}(V2,V10,V11), P_divide-{F}(V12,V12,V9), P_inverse-{F}(V12,V13), P_divide-{F}(V14,V15,V13) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #820: exists( #4, #813 ), references = 2, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V1,V6), V0 == V6, P_inverse-{F}(V5,V7), P_divide-{F}(V2,V7,V8), P_inverse-{F}(V4,V9), P_divide-{F}(V10,V11,V12) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #822: mergings( V10 == V13; #819 ), references = 2, size of lhs = 9:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V1,V6), V0 == V6, P_inverse-{F}(V5,V7), P_divide-{F}(V2,V7,V8), P_inverse-{F}(V4,V9), P_divide-{F}(V10,V11,V9) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #826: exists( #3, #806 ), references = 3, size of lhs = 7:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V5,V5,V7), P_divide-{F}(V8,V9,V10) | P_divide-{T}(V3,V7,V4)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #842: exists( #3, #428 ), references = 1, size of lhs = 8:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V4,V6), P_divide-{F}(V2,V5,V7), P_divide-{F}(V7,V8,V3), P_inverse-{F}(V9,V8), V6 == V9 | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #843: exists( #3, #820 ), references = 1, size of lhs = 7:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V4,V8), P_divide-{F}(V9,V10,V11) | P_divide-{T}(V5,V1,V0)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #844: exists( #3, #822 ), references = 1, size of lhs = 7:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V4,V8), P_divide-{F}(V9,V10,V8) | P_divide-{T}(V5,V1,V0)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #847: exists( #4, #845 ), references = 1, size of lhs = 7:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V2,V2), P_inverse-{F}(V4,V5), P_divide-{F}(V3,V5,V6), V6 == V4, P_divide-{F}(V7,V8,V9) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #850: exists( #5, #848 ), references = 4, size of lhs = 6:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V4), P_divide-{F}(V5,V4,V4), P_inverse-{F}(V3,V6), P_divide-{F}(V7,V8,V9) | P_multiply-{T}(V5,V0,V2)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #858: mergings( V8 == V6; #855 ), references = 2, size of lhs = 9:
% 15.22/15.38 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V1,V1), P_inverse-{F}(V0,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V2,V5,V4), P_divide-{F}(V4,V6,V7), P_divide-{F}(V4,V7,V8), V8 == V6, P_divide-{F}(V9,V10,V11) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #860: mergings( V8 == V6; #856 ), references = 2, size of lhs = 9:
% 15.22/15.38 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V1,V1), P_inverse-{F}(V0,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V2,V5,V4), P_divide-{F}(V4,V6,V7), P_divide-{F}(V4,V7,V8), V8 == V6, P_divide-{F}(V9,V10,V11) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #868: exists( #4, #806 ), references = 2, size of lhs = 5:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V2,V4), V4 == V3, P_divide-{F}(V5,V6,V7) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #872: exists( #5, #870 ), references = 2, size of lhs = 7:
% 15.22/15.38 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}(V7,V7,V6), P_inverse-{F}(V7,V8), P_divide-{F}(V9,V10,V11) | P_multiply-{T}(V5,V0,V2)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #887: exists( #3, #868 ), references = 7, size of lhs = 4:
% 15.22/15.38 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V4,V5), #-{F} V6 | P_divide-{T}(V6,V2,V6)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #906: mergings( V4 == V5; #903 ), references = 3, size of lhs = 7:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V0,V4,V3), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V8,V9) | P_divide-{T}(V3,V6,V5)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #908: mergings( V4 == V5; #904 ), references = 1, size of lhs = 7:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V0,V4,V3), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V8,V9) | P_divide-{T}(V3,V6,V5)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #920: mergings( V0 == V10, V11 == V15; #917 ), references = 1, size of lhs = 15:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V3,V5), P_divide-{F}(V6,V5,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V0,V7,V6), P_divide-{F}(V8,V7,V6), P_inverse-{F}(V9,V10), P_divide-{F}(V8,V10,V11), P_inverse-{F}(V12,V11), V10 == V12, P_divide-{F}(V13,V14,V15), P_divide-{F}(V16,V17,V18) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #927: mergings( V15 == V13, V14 == V16, V7 == V8; #923 ), references = 7, size of lhs = 16:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V3,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V8,V8,V10), P_divide-{F}(V11,V10,V11), P_inverse-{F}(V11,V12), P_divide-{F}(V3,V12,V11), P_divide-{F}(V0,V12,V11), P_divide-{F}(V13,V14,V15), P_divide-{F}(V16,V17,V18), P_divide-{F}(V19,V20,V21) | P_inverse-{T}(V7,V6)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #939: exists( #4, #933 ), references = 3, size of lhs = 19:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V3,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V6,V6,V8), P_divide-{F}(V9,V8,V9), P_inverse-{F}(V9,V10), P_divide-{F}(V3,V10,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V11,V12,V13), P_divide-{F}(V13,V14,V15), P_divide-{F}(V11,V14,V16), P_divide-{F}(V15,V16,V17), P_divide-{F}(V18,V19,V20), P_divide-{F}(V21,V22,V23), P_divide-{F}(V24,V25,V26) | P_inverse-{T}(V12,V17)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #940: exists( #4, #934 ), references = 1, size of lhs = 20:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V3,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V6,V6,V8), P_divide-{F}(V9,V8,V9), P_inverse-{F}(V9,V10), P_divide-{F}(V3,V10,V9), P_divide-{F}(V0,V10,V9), P_inverse-{F}(V11,V12), P_divide-{F}(V13,V12,V14), P_divide-{F}(V13,V15,V16), P_divide-{F}(V14,V16,V17), P_divide-{F}(V11,V17,V18), P_divide-{F}(V19,V20,V21), P_divide-{F}(V22,V23,V24), P_divide-{F}(V25,V26,V27) | P_inverse-{T}(V15,V18)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #941: exists( #4, #935 ), references = 1, size of lhs = 20:
% 15.22/15.38 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V3,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_divide-{F}(V6,V6,V8), P_divide-{F}(V9,V8,V9), P_inverse-{F}(V9,V10), P_divide-{F}(V3,V10,V9), P_divide-{F}(V0,V10,V9), P_inverse-{F}(V11,V12), P_divide-{F}(V13,V12,V14), P_divide-{F}(V13,V15,V16), P_divide-{F}(V14,V16,V17), P_divide-{F}(V11,V17,V18), P_divide-{F}(V19,V20,V21), P_divide-{F}(V22,V23,V24), P_divide-{F}(V25,V26,V27) | P_inverse-{T}(V15,V18)
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #956: exists( #3, #954 ), references = 1, size of lhs = 45:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V4,V4), P_divide-{F}(V5,V5,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V7,V7), P_divide-{F}(V8,V8,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V10,V10), P_divide-{F}(V11,V11,V10), P_inverse-{F}(V11,V12), P_divide-{F}(V13,V13,V13), P_divide-{F}(V14,V14,V13), P_inverse-{F}(V14,V15), P_inverse-{F}(V16,V17), P_divide-{F}(V18,V17,V19), P_divide-{F}(V19,V20,V21), P_inverse-{F}(V22,V23), P_divide-{F}(V22,V22,V24), P_divide-{F}(V25,V24,V25), P_inverse-{F}(V25,V26), P_divide-{F}(V7,V26,V25), P_divide-{F}(V4,V26,V25), P_divide-{F}(V27,V1,V28), P_divide-{F}(V28,V29,V30), P_divide-{F}(V27,V29,V31), P_divide-{F}(V30,V3,V32), P_divide-{F}(V32,V31,V0), P_inverse-{F}(V33,V34), P_divide-{F}(V33,V33,V35), P_divide-{F}(V36,V35,V36), P_inverse-{F}(V36,V37), P_divide-{F}(V13,V37,V36), P_divide-{F}(V10,V37,V36), P_divide-{F}(V21,V38,V39), P_divide-{F}(V16,V38,V40), P_divide-{F}(V40,V39,V1), P_divide-{F}(V41,V42,V43), P_divide-{F}(V44,V45,V46), P_divide-{F}(V47,V48,V49), P_divide-{F}(V50,V51,V52), P_divide-{F}(V53,V54,V55), P_divide-{F}(V56,V57,V58) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #969: mergings( V1 == V4; #967 ), references = 1, size of lhs = 12:
% 15.22/15.38 P_a-{F}(V0), P_inverse-{F}(V0,V1), P_b-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V2,V4,V5), P_divide-{F}(V5,V1,V0), P_divide-{F}(V6,V6,V6), P_divide-{F}(V6,V1,V0), P_divide-{F}(V7,V7,V6), P_inverse-{F}(V7,V8), P_divide-{F}(V9,V10,V11) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #973: mergings( V3 == V4; #971 ), references = 1, size of lhs = 25:
% 15.22/15.38 P_a-{F}(V0), P_inverse-{F}(V0,V1), P_b-{F}(V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V3,V1,V0), P_divide-{F}(V4,V4,V4), P_divide-{F}(V5,V5,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V7,V7), P_divide-{F}(V8,V8,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V10,V10), P_divide-{F}(V10,V1,V0), P_divide-{F}(V11,V11,V10), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V14), P_divide-{F}(V13,V13,V15), P_divide-{F}(V16,V15,V16), P_inverse-{F}(V16,V17), P_divide-{F}(V7,V17,V16), P_divide-{F}(V4,V17,V16), P_divide-{F}(V18,V19,V20), P_divide-{F}(V21,V22,V23), P_divide-{F}(V24,V25,V26), P_divide-{F}(V27,V28,V29) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1001: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V23; #983 ), references = 2, size of lhs = 6:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_inverse-{F}(V4,V0), P_inverse-{F}(V5,V0) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1010: exists( #4, #1008 ), references = 3, size of lhs = 17:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1), P_divide-{F}(V2,V2,V2), P_divide-{F}(V3,V3,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V5,V5), P_divide-{F}(V6,V6,V5), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V9), P_divide-{F}(V8,V8,V10), P_divide-{F}(V11,V10,V11), P_inverse-{F}(V11,V12), P_divide-{F}(V5,V12,V11), P_divide-{F}(V2,V12,V11), P_divide-{F}(V13,V14,V15), P_divide-{F}(V16,V17,V18), P_divide-{F}(V19,V20,V21) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1022: mergings( V0 == V10, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V12; #1015 ), references = 1, size of lhs = 5:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_inverse-{F}(V3,V5) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1034: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V11 == V12; #1027 ), references = 1, size of lhs = 5:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1036: exists( #4, #1027 ), references = 1, size of lhs = 2:
% 15.22/15.38 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1038: exists( #7, #1035 ), references = 1, size of lhs = 1:
% 15.22/15.38 P_a-{F}(V0) | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 #1040: exists( #6, #1037 ), references = 1, size of lhs = 0:
% 15.22/15.38 FALSE | FALSE
% 15.22/15.38 (used 0 times, uses = {})
% 15.22/15.38
% 15.22/15.38 number of learnt formulas = 67
% 15.22/15.38
% 15.22/15.38
% 15.22/15.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.22/15.38
% 15.22/15.38 randbase = 1
%------------------------------------------------------------------------------