TSTP Solution File: GRP485-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:03:58 EDT 2022
% Result : Unsatisfiable 18.22s 18.38s
% Output : Refutation 18.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 14:20:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.22/18.38 GeoParameters:
% 18.22/18.38
% 18.22/18.38 tptp_input = 1
% 18.22/18.38 tptp_output = 0
% 18.22/18.38 nonempty = 1
% 18.22/18.38 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.22/18.38 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 18.22/18.38
% 18.22/18.38
% 18.22/18.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.22/18.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.22/18.38
% 18.22/18.38 RuleSystem INPUT:
% 18.22/18.38
% 18.22/18.38 Initial Rules:
% 18.22/18.38 #0: input, references = 18, size of lhs = 9:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,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
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1: input, references = 6, size of lhs = 6:
% 18.22/18.38 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
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #2: input, references = 6, size of lhs = 5:
% 18.22/18.38 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
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #3: input, references = 4, size of lhs = 5:
% 18.22/18.38 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
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #4: input, references = 7, size of lhs = 4:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #5: input, references = 15, size of lhs = 2:
% 18.22/18.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #6: input, references = 4, size of lhs = 0:
% 18.22/18.38 FALSE | EXISTS V0: P_identity-{T}(V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #7: input, references = 19, size of lhs = 2:
% 18.22/18.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #8: input, references = 11, size of lhs = 1:
% 18.22/18.38 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #9: input, references = 4, size of lhs = 0:
% 18.22/18.38 FALSE | EXISTS V0: P_a2-{T}(V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 number of initial rules = 10
% 18.22/18.38
% 18.22/18.38 Simplifiers:
% 18.22/18.38 #10: unsound, references = 3, size of lhs = 3:
% 18.22/18.38 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #11: unsound, references = 3, size of lhs = 3:
% 18.22/18.38 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #12: unsound, references = 3, size of lhs = 3:
% 18.22/18.38 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #13: unsound, references = 3, size of lhs = 3:
% 18.22/18.38 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #14: unsound, references = 3, size of lhs = 3:
% 18.22/18.38 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 number of simplifiers = 5
% 18.22/18.38
% 18.22/18.38 Learnt:
% 18.22/18.38 #17: exists( #5, #2 ), references = 8, size of lhs = 2:
% 18.22/18.38 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #18: exists( #5, #3 ), references = 3, size of lhs = 4:
% 18.22/18.38 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #20: exists( #5, #0 ), references = 8, size of lhs = 7:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V2,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)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #25: exists( #5, #18 ), references = 31, size of lhs = 2:
% 18.22/18.38 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #26: exists( #5, #2 ), references = 35, size of lhs = 3:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #31: exists( #8, #29 ), references = 1, size of lhs = 2:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0) | P_inverse-{T}(V0,V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #41: mergings( V2 == V3; #38 ), references = 4, size of lhs = 7:
% 18.22/18.38 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}(V5,V2,V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V7,V1,V8) | P_inverse-{T}(V6,V8)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #43: mergings( V3 == V4; #39 ), references = 34, size of lhs = 4:
% 18.22/18.38 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)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #53: mergings( V3 == V4, V4 == V0, V0 == V6, V5 == V6, V6 == V7, V7 == V8; #46 ), references = 1, size of lhs = 7:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V0,V3,V2), P_double_divide-{F}(V4,V0,V3), V0 == V4 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #65: exists( #8, #63 ), references = 3, size of lhs = 3:
% 18.22/18.38 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_double_divide-{F}(V2,V1,V3) | P_inverse-{T}(V0,V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #85: exists( #8, #83 ), references = 2, size of lhs = 7:
% 18.22/18.38 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V1,V2), P_double_divide-{F}(V3,V2,V0), V0 == V3, P_double_divide-{F}(V4,V5,V2), P_multiply-{F}(V5,V4,V3) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #99: exists( #7, #1 ), references = 4, size of lhs = 4:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V2) | P_multiply-{T}(V5,V4,V3)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #124: mergings( V7 == V8, V3 == V5, V5 == V6, V4 == V8, V6 == V9; #118 ), references = 3, size of lhs = 10:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V7,V6,V3), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V11,V12,V8) | P_multiply-{T}(V12,V11,V10)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #129: exists( #8, #127 ), references = 1, size of lhs = 2:
% 18.22/18.38 P_identity-{F}(V0), P_a2-{F}(V0) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #133: exists( #8, #131 ), references = 1, size of lhs = 3:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V3)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #152: exists( #7, #147 ), references = 1, size of lhs = 2:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #169: mergings( V3 == V5, V4 == V6; #166 ), references = 4, size of lhs = 11:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V2,V6), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V7,V8,V9), P_double_divide-{F}(V9,V4,V10), P_double_divide-{F}(V5,V8,V11), P_double_divide-{F}(V11,V1,V12), V12 == V10 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #173: mergings( V3 == V5, V4 == V6; #170 ), references = 32, size of lhs = 9:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V2,V6), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V7,V8,V9), P_double_divide-{F}(V5,V8,V10), P_double_divide-{F}(V10,V1,V11) | P_double_divide-{T}(V9,V4,V11)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #205: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V10, V8 == V11, V11 == V13; #196 ), references = 2, size of lhs = 15:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V1), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V9,V1,V10), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V12,V3,V8), P_double_divide-{F}(V12,V5,V13), P_double_divide-{F}(V13,V1,V14), V14 == V11, P_double_divide-{F}(V15,V16,V8) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #214: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V10, V8 == V11, V11 == V13; #206 ), references = 1, size of lhs = 15:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V1), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V9,V1,V10), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V12,V3,V8), P_double_divide-{F}(V12,V5,V13), P_double_divide-{F}(V13,V1,V14), V14 == V11, P_double_divide-{F}(V15,V16,V8) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #258: mergings( V6 == V7, V7 == V9, V3 == V5, V5 == V9, V4 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V8, V8 == V10, V10 == V12, V12 == V15; #243 ), references = 1, size of lhs = 23:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V8,V2), P_double_divide-{F}(V7,V2,V9), P_double_divide-{F}(V9,V8,V10), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V2,V13), P_double_divide-{F}(V11,V14,V3), P_double_divide-{F}(V13,V14,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V17,V10), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V1,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V20,V23), P_double_divide-{F}(V2,V23,V24), P_double_divide-{F}(V24,V0,V25), V25 == V21 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #327: mergings( V6 == V7, V7 == V9, V3 == V5, V5 == V9, V4 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V8, V8 == V10, V10 == V12, V12 == V15; #311 ), references = 1, size of lhs = 23:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V5,V3,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V8,V0,V4), P_double_divide-{F}(V9,V0,V4), P_double_divide-{F}(V7,V10,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V0,V10,V12), P_double_divide-{F}(V13,V11,V6), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V16,V4), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V4,V19), P_double_divide-{F}(V17,V20,V8), P_double_divide-{F}(V19,V20,V14), P_double_divide-{F}(V12,V21,V22), P_double_divide-{F}(V21,V0,V23), P_double_divide-{F}(V24,V23,V4), P_double_divide-{F}(V22,V25,V24) | P_multiply-{T}(V16,V15,V25)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #348: mergings( V8 == V4, V4 == V9, V3 == V5, V9 == V6, V5 == V7, V7 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V10, V10 == V12, V12 == V14, V20 == V31, V21 == V32; #330 ), references = 1, size of lhs = 20:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V2,V2,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V3,V6,V8), P_double_divide-{F}(V8,V2,V9), P_double_divide-{F}(V9,V7,V10), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V0,V10,V12), P_double_divide-{F}(V4,V10,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V11,V5), P_double_divide-{F}(V12,V15,V16), P_double_divide-{F}(V15,V0,V17), P_double_divide-{F}(V16,V1,V18), P_double_divide-{F}(V18,V17,V2) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #404: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9; #398 ), references = 2, size of lhs = 11:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V2,V8), V6 == V8, P_double_divide-{F}(V9,V6,V5), P_double_divide-{F}(V10,V3,V9), P_double_divide-{F}(V11,V12,V10) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #414: mergings( V3 == V6, V4 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12; #406 ), references = 3, size of lhs = 15:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V1,V0,V3), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V0), P_double_divide-{F}(V8,V2,V9), P_double_divide-{F}(V9,V4,V10), P_double_divide-{F}(V8,V11,V12), P_double_divide-{F}(V12,V1,V13), P_double_divide-{F}(V13,V14,V7), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V3,V16), V14 == V16 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #436: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V10, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V18, V18 == V9, V25 == V27, V9 == V11; #418 ), references = 2, size of lhs = 16:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), V2 == V4, P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V13,V7), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V11,V16), P_double_divide-{F}(V14,V17,V7) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #452: mergings( V5 == V6, V3 == V6, V4 == V6; #448 ), references = 12, size of lhs = 15:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V14,V8), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V12,V17), P_double_divide-{F}(V15,V18,V8) | P_multiply-{T}(V5,V4,V2)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #490: mergings( V5 == V6, V6 == V7, V3 == V7, V4 == V7, V7 == V8, V8 == V9, V9 == V10; #481 ), references = 1, size of lhs = 17:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_inverse-{F}(V3,V2), P_double_divide-{F}(V3,V3,V2), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V1,V10), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V11,V12,V0), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V16,V10), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V14,V19), P_double_divide-{F}(V17,V20,V10) | P_multiply-{T}(V5,V4,V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #498: mergings( V5 == V6, V3 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #482 ), references = 1, size of lhs = 17:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V3,V2), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V5,V6,V2), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V15,V9), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V13,V18), P_double_divide-{F}(V16,V19,V9) | P_multiply-{T}(V6,V5,V0)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #558: mergings( V6 == V7, V7 == V11, V11 == V13, V3 == V5, V5 == V13, V4 == V13, V13 == V14, V14 == V8, V9 == V8, V8 == V10, V10 == V12; #544 ), references = 1, size of lhs = 19:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V3,V4,V2), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V0,V6,V5), V0 == V6, P_double_divide-{F}(V7,V8,V2), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V12,V13,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V17,V11), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V15,V20), P_double_divide-{F}(V18,V21,V11) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #571: mergings( V9 == V10, V10 == V11, V11 == V13, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V13, V8 == V13, V13 == V12, V12 == V14, V19 == V21; #545 ), references = 1, size of lhs = 20:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V3,V4,V2), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), V7 == V0, P_double_divide-{F}(V8,V9,V2), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V1,V12), P_double_divide-{F}(V11,V0,V13), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V18,V12), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V20,V16,V21), P_double_divide-{F}(V19,V22,V12) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #585: mergings( V9 == V10, V10 == V11, V11 == V13, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V13, V8 == V13, V13 == V15, V15 == V12, V12 == V14, V20 == V22; #546 ), references = 1, size of lhs = 21:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V3,V4,V2), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V7,V0,V8), V0 == V8, P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V1,V13), P_double_divide-{F}(V12,V0,V14), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V19,V13), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V17,V22), P_double_divide-{F}(V20,V23,V13) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #610: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #599 ), references = 1, size of lhs = 11:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V5,V1), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V3,V7,V9), P_double_divide-{F}(V9,V4,V10), P_double_divide-{F}(V10,V8,V6) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #735: mergings( V6 == V7, V7 == V11, V11 == V12, V3 == V5, V5 == V12, V4 == V12, V12 == V8, V8 == V9, V9 == V10, V10 == V28, V28 == V14, V15 == V14, V14 == V17, V17 == V18, V18 == V20, V21 == V20, V20 == V23, V24 == V23, V23 == V26, V27 == V26, V26 == V13, V13 == V16, V16 == V19, V19 == V22, V62 == V64, V22 == V25; #706 ), references = 2, size of lhs = 39:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V5,V6,V2), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V15,V9), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V13,V18), P_double_divide-{F}(V16,V19,V9), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V4,V20,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V21,V0,V24), P_double_divide-{F}(V23,V0,V25), P_double_divide-{F}(V24,V26,V0), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V27,V0,V28), P_double_divide-{F}(V25,V0,V29), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V0,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V30,V31,V35), P_double_divide-{F}(V35,V28,V36), P_double_divide-{F}(V37,V0,V36), P_double_divide-{F}(V36,V0,V38), P_double_divide-{F}(V38,V0,V39), P_double_divide-{F}(V40,V0,V33), P_double_divide-{F}(V3,V41,V40), P_double_divide-{F}(V38,V41,V42), P_double_divide-{F}(V38,V43,V42), V39 == V43 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #833: mergings( V6 == V7, V7 == V11, V11 == V12, V3 == V5, V5 == V12, V4 == V12, V12 == V8, V8 == V9, V9 == V10, V10 == V17, V17 == V14, V14 == V16, V16 == V13, V13 == V15, V15 == V18; #815 ), references = 1, size of lhs = 24:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V14,V8), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V12,V17), P_double_divide-{F}(V15,V18,V8), P_double_divide-{F}(V3,V19,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V0,V19,V22), P_double_divide-{F}(V0,V23,V22), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V26,V27,V21), V2 == V27 | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #862: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #857 ), references = 1, size of lhs = 14:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V5,V0), P_double_divide-{F}(V7,V2,V8), P_double_divide-{F}(V8,V3,V9), P_double_divide-{F}(V7,V10,V11), P_double_divide-{F}(V11,V1,V12), P_double_divide-{F}(V12,V13,V6), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V16,V14) | P_multiply-{T}(V16,V15,V13)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #932: mergings( V8 == V9, V9 == V10, V3 == V5, V5 == V6, V4 == V7, V6 == V10, V7 == V10; #924 ), references = 1, size of lhs = 34:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V5,V0,V2), P_double_divide-{F}(V3,V6,V5), P_double_divide-{F}(V7,V0,V2), P_double_divide-{F}(V4,V8,V7), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V14,V0,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V16,V6,V18), P_double_divide-{F}(V16,V19,V18), V17 == V19, P_double_divide-{F}(V20,V21,V2), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V1,V24), P_double_divide-{F}(V23,V0,V25), P_double_divide-{F}(V25,V26,V0), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V28,V0,V27), P_double_divide-{F}(V29,V30,V24), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V28,V33), P_double_divide-{F}(V31,V34,V24), P_double_divide-{F}(V35,V36,V2), P_double_divide-{F}(V37,V38,V0) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1059: mergings( V10 == V11, V11 == V9, V9 == V12, V12 == V16, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V13 == V17, V8 == V16, V7 == V16, V16 == V17, V17 == V14, V15 == V14; #1042 ), references = 1, size of lhs = 18:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V5,V0,V2), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V1,V10), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V11,V12,V0), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V16,V10), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V14,V19), P_double_divide-{F}(V17,V20,V10) | P_multiply-{T}(V7,V6,V5)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1076: mergings( V10 == V11, V11 == V9, V9 == V12, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V13 == V18, V8 == V12, V7 == V12, V12 == V18, V18 == V14, V15 == V14, V14 == V16, V16 == V17, V17 == V19; #1043 ), references = 1, size of lhs = 17:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V1,V10), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V11,V12,V0), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V16,V10), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V14,V19), P_double_divide-{F}(V17,V20,V10) | P_multiply-{T}(V7,V6,V5)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1090: mergings( V10 == V11, V11 == V9, V9 == V12, V12 == V14, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V13 == V16, V8 == V14, V7 == V14, V14 == V16, V16 == V15; #1044 ), references = 1, size of lhs = 23:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V0,V3,V5), P_double_divide-{F}(V6,V0,V2), P_double_divide-{F}(V7,V6,V5), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V10,V2), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V1,V13), P_double_divide-{F}(V12,V0,V14), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V19,V13), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V17,V22), P_double_divide-{F}(V20,V23,V13), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V25,V4,V26), P_double_divide-{F}(V24,V27,V8) | P_multiply-{T}(V10,V9,V6)
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1115: mergings( V9 == V10, V10 == V8, V8 == V11, V0 == V20, V11 == V15, V20 == V24, V3 == V5, V5 == V6, V4 == V7, V6 == V24, V12 == V24, V7 == V15, V15 == V24, V24 == V13, V14 == V13, V13 == V16, V17 == V16, V16 == V19, V19 == V22, V22 == V21, V21 == V23, V23 == V25; #1092 ), references = 1, size of lhs = 4:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1), P_double_divide-{F}(V1,V0,V2) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1139: mergings( V9 == V10, V8 == V10, V7 == V18, V10 == V11, V11 == V12, V12 == V15, V15 == V16, V18 == V19, V2 == V4, V4 == V5, V3 == V6, V5 == V19, V16 == V19, V6 == V19, V19 == V13, V14 == V13, V13 == V17, V17 == V21, V21 == V20, V20 == V22, V22 == V23; #1117 ), references = 1, size of lhs = 3:
% 18.22/18.38 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1145: exists( #8, #1143 ), references = 1, size of lhs = 2:
% 18.22/18.38 P_identity-{F}(V0), P_a2-{F}(V1) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1147: exists( #9, #1144 ), references = 1, size of lhs = 1:
% 18.22/18.38 P_identity-{F}(V0) | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 #1149: exists( #6, #1146 ), references = 1, size of lhs = 0:
% 18.22/18.38 FALSE | FALSE
% 18.22/18.38 (used 0 times, uses = {})
% 18.22/18.38
% 18.22/18.38 number of learnt formulas = 45
% 18.22/18.38
% 18.22/18.38
% 18.22/18.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.22/18.38
% 18.22/18.38 randbase = 1
%------------------------------------------------------------------------------