TSTP Solution File: GRP487-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 14:18:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/0.58 GeoParameters:
% 0.39/0.58
% 0.39/0.58 tptp_input = 1
% 0.39/0.58 tptp_output = 0
% 0.39/0.58 nonempty = 1
% 0.39/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.39/0.58
% 0.39/0.58
% 0.39/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58
% 0.39/0.58 RuleSystem INPUT:
% 0.39/0.58
% 0.39/0.58 Initial Rules:
% 0.39/0.58 #0: input, references = 10, size of lhs = 9:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V4), P_double_divide-{F}(V2,V3,V5), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V2,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V1,V9,V10), V10 == V3 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #1: input, references = 5, size of lhs = 5:
% 0.39/0.58 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
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #2: input, references = 4, size of lhs = 4:
% 0.39/0.58 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #3: input, references = 5, size of lhs = 4:
% 0.39/0.58 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #4: input, references = 4, size of lhs = 4:
% 0.39/0.58 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0) | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #5: input, references = 8, size of lhs = 2:
% 0.39/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #6: input, references = 4, size of lhs = 0:
% 0.39/0.58 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #7: input, references = 9, size of lhs = 2:
% 0.39/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #8: input, references = 7, size of lhs = 1:
% 0.39/0.58 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #9: input, references = 4, size of lhs = 0:
% 0.39/0.58 FALSE | EXISTS V0: P_a1-{T}(V0)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 number of initial rules = 10
% 0.39/0.58
% 0.39/0.58 Simplifiers:
% 0.39/0.58 #10: unsound, references = 3, size of lhs = 3:
% 0.39/0.58 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #11: unsound, references = 3, size of lhs = 3:
% 0.39/0.58 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #12: unsound, references = 3, size of lhs = 3:
% 0.39/0.58 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #13: unsound, references = 3, size of lhs = 3:
% 0.39/0.58 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #14: unsound, references = 3, size of lhs = 3:
% 0.39/0.58 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 number of simplifiers = 5
% 0.39/0.58
% 0.39/0.58 Learnt:
% 0.39/0.58 #17: exists( #5, #2 ), references = 12, size of lhs = 2:
% 0.39/0.58 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #18: exists( #5, #3 ), references = 5, size of lhs = 2:
% 0.39/0.58 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #23: exists( #8, #21 ), references = 8, size of lhs = 3:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #30: exists( #7, #1 ), references = 2, size of lhs = 3:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #35: exists( #5, #0 ), references = 4, size of lhs = 7:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V8,V0,V9) | P_double_divide-{T}(V1,V9,V7)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #45: mergings( V6 == V7, V3 == V4; #42 ), references = 1, size of lhs = 10:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V1,V6), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V2,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V9,V6) | P_multiply-{T}(V8,V7,V3)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #67: mergings( V3 == V4, V4 == V5, V5 == V6; #63 ), references = 1, size of lhs = 8:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V2,V5,V6), V6 == V0, P_double_divide-{F}(V7,V8,V3) | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #72: mergings( V3 == V4, V4 == V5, V5 == V6; #68 ), references = 1, size of lhs = 8:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V2,V5,V6), V6 == V0, P_double_divide-{F}(V7,V8,V3) | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #77: mergings( V3 == V4, V4 == V5, V5 == V6; #73 ), references = 2, size of lhs = 6:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V7,V3) | P_double_divide-{T}(V2,V5,V0)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #96: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V12, V9 == V11, V14 == V15, V16 == V20, V17 == V21, V18 == V22; #83 ), references = 1, size of lhs = 8:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V1), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9) | P_multiply-{T}(V3,V2,V1)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #106: mergings( V2 == V3, V3 == V4, V4 == V0; #102 ), references = 1, size of lhs = 2:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0) | P_inverse-{T}(V0,V0)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #130: mergings( V3 == V4, V4 == V5, V6 == V7; #126 ), references = 2, size of lhs = 10:
% 0.39/0.58 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}(V3,V2,V5), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V1,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V8,V4) | P_multiply-{T}(V7,V6,V5)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #157: mergings( V6 == V9, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V9 == V11; #150 ), references = 1, size of lhs = 6:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V0,V3,V1), V1 == V3, P_double_divide-{F}(V4,V5,V1) | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #162: mergings( V2 == V3, V3 == V0; #159 ), references = 1, size of lhs = 1:
% 0.39/0.58 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #169: mergings( V2 == V3, V3 == V4; #166 ), references = 1, size of lhs = 3:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1) | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #173: mergings( V1 == V2, V2 == V3; #170 ), references = 1, size of lhs = 2:
% 0.39/0.58 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0) | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 #177: exists( #6, #175 ), references = 1, size of lhs = 0:
% 0.39/0.58 FALSE | FALSE
% 0.39/0.58 (used 0 times, uses = {})
% 0.39/0.58
% 0.39/0.58 number of learnt formulas = 17
% 0.39/0.58
% 0.39/0.58
% 0.39/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58
% 0.39/0.58 randbase = 1
%------------------------------------------------------------------------------