TSTP Solution File: GRP491-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:03:59 EDT 2022
% Result : Unsatisfiable 0.43s 0.60s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 13:54:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.60 GeoParameters:
% 0.43/0.60
% 0.43/0.60 tptp_input = 1
% 0.43/0.60 tptp_output = 0
% 0.43/0.60 nonempty = 1
% 0.43/0.60 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.60 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.43/0.60
% 0.43/0.60
% 0.43/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.60
% 0.43/0.60 RuleSystem INPUT:
% 0.43/0.60
% 0.43/0.60 Initial Rules:
% 0.43/0.60 #0: input, references = 10, size of lhs = 9:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V4), P_double_divide-{F}(V1,V2,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V3,V2,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V4,V9,V10), V10 == V3 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #1: input, references = 5, size of lhs = 5:
% 0.43/0.60 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V4,V0,V5), V3 == V5 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #2: input, references = 4, size of lhs = 4:
% 0.43/0.60 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #3: input, references = 4, size of lhs = 4:
% 0.43/0.60 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #4: input, references = 4, size of lhs = 3:
% 0.43/0.60 P_identity-{F}(V0), P_a2-{F}(V1), P_multiply-{F}(V0,V1,V1) | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #5: input, references = 9, size of lhs = 2:
% 0.43/0.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #6: input, references = 4, size of lhs = 0:
% 0.43/0.60 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #7: input, references = 8, size of lhs = 2:
% 0.43/0.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #8: input, references = 6, size of lhs = 1:
% 0.43/0.60 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #9: input, references = 4, size of lhs = 0:
% 0.43/0.60 FALSE | EXISTS V0: P_a2-{T}(V0)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 number of initial rules = 10
% 0.43/0.60
% 0.43/0.60 Simplifiers:
% 0.43/0.60 #10: unsound, references = 3, size of lhs = 3:
% 0.43/0.60 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #11: unsound, references = 3, size of lhs = 3:
% 0.43/0.60 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #12: unsound, references = 3, size of lhs = 3:
% 0.43/0.60 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #13: unsound, references = 3, size of lhs = 3:
% 0.43/0.60 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #14: unsound, references = 3, size of lhs = 3:
% 0.43/0.60 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 number of simplifiers = 5
% 0.43/0.60
% 0.43/0.60 Learnt:
% 0.43/0.60 #17: exists( #5, #2 ), references = 10, size of lhs = 2:
% 0.43/0.60 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #18: exists( #5, #3 ), references = 7, size of lhs = 2:
% 0.43/0.60 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #23: exists( #8, #21 ), references = 7, size of lhs = 3:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #32: mergings( V3 == V4, V4 == V5; #29 ), references = 2, size of lhs = 8:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V9,V1), P_double_divide-{F}(V10,V6,V9) | P_multiply-{T}(V5,V4,V10)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #43: exists( #7, #1 ), references = 1, size of lhs = 3:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #57: exists( #5, #0 ), references = 4, size of lhs = 7:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V0,V8,V9) | P_double_divide-{T}(V2,V9,V6)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #69: mergings( V3 == V4, V4 == V5, V5 == V6; #65 ), references = 3, size of lhs = 8:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V5,V1,V6), V6 == V4, P_double_divide-{F}(V7,V8,V4) | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #89: exists( #5, #69 ), references = 1, size of lhs = 6:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V6,V7,V4) | P_double_divide-{T}(V5,V1,V4)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #98: mergings( V3 == V4, V4 == V5, V5 == V7; #94 ), references = 1, size of lhs = 8:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V2,V4), P_double_divide-{F}(V0,V5,V4), P_double_divide-{F}(V5,V1,V6), P_double_divide-{F}(V6,V0,V3), P_double_divide-{F}(V7,V8,V3) | P_multiply-{T}(V8,V7,V4)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #115: mergings( V2 == V3, V3 == V0; #111 ), references = 1, size of lhs = 1:
% 0.43/0.60 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #134: mergings( V0 == V3; #130 ), references = 1, size of lhs = 12:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V7,V5), P_double_divide-{F}(V9,V6,V10), P_double_divide-{F}(V8,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V1,V12,V13), V13 == V9 | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #142: mergings( V3 == V4, V4 == V0; #139 ), references = 1, size of lhs = 15:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V4,V13,V12), P_double_divide-{F}(V4,V14,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V13,V14,V17), P_double_divide-{F}(V16,V17,V1) | P_double_divide-{T}(V0,V4,V6)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #154: mergings( V3 == V4; #152 ), references = 2, size of lhs = 6:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V2,V4), P_double_divide-{F}(V4,V1,V5), P_double_divide-{F}(V6,V7,V3) | P_multiply-{T}(V7,V6,V5)
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #160: mergings( V0 == V4; #158 ), references = 1, size of lhs = 10:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a2-{F}(V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V0,V5,V1), P_double_divide-{F}(V4,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V2,V6,V9), P_double_divide-{F}(V8,V9,V5) | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #166: mergings( V2 == V3, V4 == V5; #163 ), references = 1, size of lhs = 5:
% 0.43/0.60 P_identity-{F}(V0), P_a2-{F}(V1), P_double_divide-{F}(V0,V0,V2), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V3,V2) | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #170: mergings( V1 == V2, V3 == V4; #167 ), references = 1, size of lhs = 4:
% 0.43/0.60 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V1) | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 #174: exists( #6, #172 ), references = 1, size of lhs = 0:
% 0.43/0.60 FALSE | FALSE
% 0.43/0.60 (used 0 times, uses = {})
% 0.43/0.60
% 0.43/0.60 number of learnt formulas = 17
% 0.43/0.60
% 0.43/0.60
% 0.43/0.60 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.60
% 0.43/0.60 randbase = 1
%------------------------------------------------------------------------------