TSTP Solution File: GRP481-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP481-1 : 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 06:03:57 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 13:47:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 GeoParameters:
% 0.18/0.43
% 0.18/0.43 tptp_input = 1
% 0.18/0.43 tptp_output = 0
% 0.18/0.43 nonempty = 1
% 0.18/0.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43
% 0.18/0.43 RuleSystem INPUT:
% 0.18/0.43
% 0.18/0.43 Initial Rules:
% 0.18/0.43 #0: input, references = 7, size of lhs = 11:
% 0.18/0.43 P_identity-{F}(V0), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V1,V5,V6), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V1,V0,V10), P_double_divide-{F}(V9,V10,V11), P_double_divide-{F}(V6,V11,V12), P_double_divide-{F}(V12,V2,V13), V13 == V3 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #1: input, references = 5, size of lhs = 5:
% 0.18/0.43 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
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #2: input, references = 4, size of lhs = 4:
% 0.18/0.43 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #3: input, references = 4, size of lhs = 4:
% 0.18/0.43 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #4: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #5: input, references = 5, size of lhs = 2:
% 0.18/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #6: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #7: input, references = 6, size of lhs = 2:
% 0.18/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #8: input, references = 7, size of lhs = 1:
% 0.18/0.43 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #9: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_a1-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of initial rules = 10
% 0.18/0.43
% 0.18/0.43 Simplifiers:
% 0.18/0.43 #10: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #11: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #12: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #13: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of simplifiers = 5
% 0.18/0.43
% 0.18/0.43 Learnt:
% 0.18/0.43 #17: exists( #5, #2 ), references = 7, size of lhs = 2:
% 0.18/0.43 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #18: exists( #5, #3 ), references = 6, size of lhs = 2:
% 0.18/0.43 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #21: exists( #7, #1 ), references = 1, size of lhs = 3:
% 0.18/0.43 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #23: exists( #5, #0 ), references = 3, size of lhs = 9:
% 0.18/0.43 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V9,V8,V10), P_double_divide-{F}(V10,V5,V11), P_double_divide-{F}(V4,V11,V12) | P_double_divide-{T}(V12,V1,V9)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #30: mergings( V2 == V0; #28 ), references = 1, size of lhs = 15:
% 0.18/0.43 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V1,V5,V0), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V8,V5), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V9,V10,V6), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V11,V12,V13), P_double_divide-{F}(V14,V13,V0), V0 == V14 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #38: exists( #8, #36 ), references = 5, size of lhs = 3:
% 0.18/0.43 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #64: mergings( V3 == V4, V4 == V5, V6 == V8; #60 ), references = 1, size of lhs = 8:
% 0.18/0.43 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,V0,V4), P_double_divide-{F}(V5,V1,V6), P_double_divide-{F}(V6,V3,V4), P_double_divide-{F}(V7,V8,V4) | P_multiply-{T}(V8,V7,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #82: mergings( V3 == V4, V4 == V5, V5 == V6; #77 ), references = 4, size of lhs = 2:
% 0.18/0.43 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #90: mergings( V2 == V3; #88 ), references = 1, size of lhs = 2:
% 0.18/0.43 P_identity-{F}(V0), P_a1-{F}(V0) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #95: exists( #8, #93 ), references = 1, size of lhs = 2:
% 0.18/0.43 P_identity-{F}(V0), P_a1-{F}(V1) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #97: exists( #9, #94 ), references = 1, size of lhs = 1:
% 0.18/0.43 P_identity-{F}(V0) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #99: exists( #6, #96 ), references = 1, size of lhs = 0:
% 0.18/0.43 FALSE | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of learnt formulas = 12
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43
% 0.18/0.43 randbase = 1
%------------------------------------------------------------------------------