TSTP Solution File: GRP451-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP451-1 : 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 06:03:54 EDT 2022
% Result : Unsatisfiable 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % 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 14:19:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.77/0.93 GeoParameters:
% 0.77/0.93
% 0.77/0.93 tptp_input = 1
% 0.77/0.93 tptp_output = 0
% 0.77/0.93 nonempty = 1
% 0.77/0.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93
% 0.77/0.93 RuleSystem INPUT:
% 0.77/0.93
% 0.77/0.93 Initial Rules:
% 0.77/0.93 #0: input, references = 7, size of lhs = 8:
% 0.77/0.93 P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V1,V5,V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V3,V7,V8), P_divide-{F}(V8,V2,V9), V9 == V1 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #1: input, references = 5, size of lhs = 5:
% 0.77/0.93 P_multiply-{F}(V0,V1,V3), P_divide-{F}(V2,V2,V4), P_divide-{F}(V4,V1,V5), P_divide-{F}(V0,V5,V6), V3 == V6 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #2: input, references = 6, size of lhs = 4:
% 0.77/0.93 P_inverse-{F}(V0,V2), P_divide-{F}(V1,V1,V3), P_divide-{F}(V3,V0,V4), V2 == V4 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #3: input, references = 7, size of lhs = 6:
% 0.77/0.93 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V5), P_b1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #4: input, references = 11, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #5: input, references = 7, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #6: input, references = 12, size of lhs = 1:
% 0.77/0.93 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #7: input, references = 4, size of lhs = 0:
% 0.77/0.93 FALSE | EXISTS V0: P_a1-{T}(V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #8: input, references = 4, size of lhs = 0:
% 0.77/0.93 FALSE | EXISTS V0: P_b1-{T}(V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of initial rules = 9
% 0.77/0.93
% 0.77/0.93 Simplifiers:
% 0.77/0.93 #9: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #10: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #11: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #12: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #13: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_b1-{F}(V0), P_b1-{F}(V1), V0 == V1 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of simplifiers = 5
% 0.77/0.93
% 0.77/0.93 Learnt:
% 0.77/0.93 #15: exists( #5, #3 ), references = 1, size of lhs = 3:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V0), P_inverse-{F}(V0,V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #17: exists( #6, #14 ), references = 1, size of lhs = 2:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #19: exists( #4, #2 ), references = 17, size of lhs = 2:
% 0.77/0.93 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3) | P_divide-{T}(V3,V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #24: exists( #4, #1 ), references = 4, size of lhs = 3:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V5) | P_divide-{T}(V4,V3,V5)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #32: exists( #6, #30 ), references = 4, size of lhs = 8:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V2,V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V3,V5,V7), P_divide-{F}(V8,V7,V4), V6 == V8 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #56: exists( #5, #1 ), references = 6, size of lhs = 3:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V3,V5) | P_multiply-{T}(V4,V2,V5)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #85: mergings( V4 == V5; #83 ), references = 3, size of lhs = 4:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V1), V3 == V4 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #95: exists( #4, #0 ), references = 2, size of lhs = 6:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V1,V7,V8) | P_divide-{T}(V8,V3,V5)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #105: exists( #5, #103 ), references = 2, size of lhs = 13:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V4,V6), P_divide-{F}(V7,V7,V5), P_divide-{F}(V5,V7,V8), P_divide-{F}(V4,V9,V3), P_divide-{F}(V7,V10,V3), P_divide-{F}(V6,V11,V12), P_divide-{F}(V13,V12,V9), P_divide-{F}(V8,V11,V14), P_divide-{F}(V15,V14,V10), V13 == V15 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #123: exists( #6, #121 ), references = 3, size of lhs = 2:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V1) | P_inverse-{T}(V1,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #142: exists( #4, #136 ), references = 6, size of lhs = 4:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2), #-{F} V4 | P_divide-{T}(V4,V4,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #143: exists( #4, #137 ), references = 1, size of lhs = 8:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V1,V6,V7), P_divide-{F}(V7,V3,V8), #-{F} V9 | P_divide-{T}(V9,V9,V8)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #145: mergings( V6 == V4; #141 ), references = 1, size of lhs = 7:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V1,V2,V3), P_inverse-{F}(V4,V2), P_divide-{F}(V3,V5,V4), P_inverse-{F}(V5,V6), #-{F} V7 | P_divide-{T}(V7,V7,V6)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #156: exists( #6, #154 ), references = 3, size of lhs = 9:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V5,V4), P_inverse-{F}(V6,V3), P_divide-{F}(V7,V7,V8), P_divide-{F}(V9,V9,V8) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #162: exists( #6, #2 ), references = 3, size of lhs = 2:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3) | P_inverse-{T}(V2,V3)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #163: exists( #6, #32 ), references = 1, size of lhs = 6:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V2,V4,V1), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V6,V4) | P_inverse-{T}(V5,V7)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #191: exists( #5, #187 ), references = 1, size of lhs = 11:
% 0.77/0.93 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V5,V2), P_b1-{F}(V6), P_divide-{F}(V7,V7,V8), P_divide-{F}(V8,V9,V6), P_divide-{F}(V10,V10,V11), P_divide-{F}(V12,V12,V11) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #193: mergings( V8 == V11; #190 ), references = 2, size of lhs = 13:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V3,V4,V1), P_divide-{F}(V5,V5,V6), P_divide-{F}(V7,V7,V6), P_inverse-{F}(V8,V6), P_inverse-{F}(V9,V8), P_inverse-{F}(V10,V8), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12), P_divide-{F}(V14,V14,V15), P_divide-{F}(V16,V16,V15) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #200: exists( #6, #198 ), references = 1, size of lhs = 9:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V6,V1), P_divide-{F}(V7,V7,V8), P_divide-{F}(V9,V9,V8), P_divide-{F}(V10,V10,V11), P_divide-{F}(V12,V12,V11) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #203: exists( #4, #201 ), references = 1, size of lhs = 3:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V2,V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #223: exists( #6, #219 ), references = 1, size of lhs = 9:
% 0.77/0.93 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V5,V2), P_b1-{F}(V6), P_divide-{F}(V7,V7,V8), P_divide-{F}(V9,V9,V8) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #225: mergings( V7 == V10; #222 ), references = 2, size of lhs = 11:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V4,V3), P_divide-{F}(V5,V5,V6), P_divide-{F}(V7,V7,V6), P_inverse-{F}(V8,V6), P_inverse-{F}(V9,V8), P_inverse-{F}(V10,V8), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #237: exists( #4, #235 ), references = 1, size of lhs = 11:
% 0.77/0.93 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V3,V3,V1), P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V5,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V2,V7,V6), P_divide-{F}(V4,V7,V8), P_divide-{F}(V3,V9,V5), P_divide-{F}(V10,V8,V9), #-{F} V11 | P_divide-{T}(V11,V11,V10)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #256: exists( #6, #254 ), references = 1, size of lhs = 7:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_divide-{F}(V7,V7,V8), P_divide-{F}(V9,V9,V8) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #258: exists( #4, #255 ), references = 1, size of lhs = 2:
% 0.77/0.93 P_a1-{F}(V0), P_b1-{F}(V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #260: exists( #8, #257 ), references = 1, size of lhs = 1:
% 0.77/0.93 P_a1-{F}(V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #262: exists( #7, #259 ), references = 1, size of lhs = 0:
% 0.77/0.93 FALSE | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of learnt formulas = 27
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93
% 0.77/0.93 randbase = 1
%------------------------------------------------------------------------------