TSTP Solution File: GRP446-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 0.78s 1.00s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n012.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 14:20:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.78/1.00 GeoParameters:
% 0.78/1.00
% 0.78/1.00 tptp_input = 1
% 0.78/1.00 tptp_output = 0
% 0.78/1.00 nonempty = 1
% 0.78/1.00 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.00 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.78/1.00
% 0.78/1.00
% 0.78/1.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.00
% 0.78/1.00 RuleSystem INPUT:
% 0.78/1.00
% 0.78/1.00 Initial Rules:
% 0.78/1.00 #0: input, references = 8, size of lhs = 8:
% 0.78/1.00 P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V0,V6), P_divide-{F}(V6,V2,V7), P_divide-{F}(V5,V7,V8), P_divide-{F}(V0,V8,V9), V9 == V1 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #1: input, references = 6, size of lhs = 5:
% 0.78/1.00 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
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #2: input, references = 5, size of lhs = 4:
% 0.78/1.00 P_inverse-{F}(V0,V2), P_divide-{F}(V1,V1,V3), P_divide-{F}(V3,V0,V4), V2 == V4 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #3: input, references = 6, size of lhs = 5:
% 0.78/1.00 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #4: input, references = 13, size of lhs = 2:
% 0.78/1.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #5: input, references = 4, size of lhs = 2:
% 0.78/1.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #6: input, references = 9, size of lhs = 1:
% 0.78/1.00 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #7: input, references = 4, size of lhs = 0:
% 0.78/1.00 FALSE | EXISTS V0: P_b2-{T}(V0)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #8: input, references = 4, size of lhs = 0:
% 0.78/1.00 FALSE | EXISTS V0: P_a2-{T}(V0)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 number of initial rules = 9
% 0.78/1.00
% 0.78/1.00 Simplifiers:
% 0.78/1.00 #9: unsound, references = 3, size of lhs = 3:
% 0.78/1.00 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #10: unsound, references = 3, size of lhs = 3:
% 0.78/1.00 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #11: unsound, references = 3, size of lhs = 3:
% 0.78/1.00 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #12: unsound, references = 3, size of lhs = 3:
% 0.78/1.00 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #13: unsound, references = 3, size of lhs = 3:
% 0.78/1.00 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 number of simplifiers = 5
% 0.78/1.00
% 0.78/1.00 Learnt:
% 0.78/1.00 #15: exists( #4, #2 ), references = 22, size of lhs = 2:
% 0.78/1.00 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3) | P_divide-{T}(V3,V0,V1)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #18: exists( #4, #1 ), references = 1, size of lhs = 3:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V5) | P_divide-{T}(V4,V3,V5)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #23: exists( #4, #0 ), references = 9, size of lhs = 6:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V1,V3,V4), P_divide-{F}(V4,V5,V6), P_divide-{F}(V2,V5,V7), P_divide-{F}(V6,V7,V8) | P_divide-{T}(V0,V8,V3)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #30: mergings( V0 == V6, V5 == V7; #27 ), references = 3, size of lhs = 9:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V1), P_divide-{F}(V1,V3,V4), P_divide-{F}(V4,V2,V1), P_divide-{F}(V4,V5,V1), P_divide-{F}(V6,V5,V1), P_divide-{F}(V1,V7,V6), V1 == V7 | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #34: exists( #5, #1 ), references = 10, size of lhs = 3:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V3,V5) | P_multiply-{T}(V4,V2,V5)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #39: exists( #4, #37 ), references = 1, size of lhs = 6:
% 0.78/1.00 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V2,V2), P_divide-{F}(V3,V0,V1), P_divide-{F}(V4,V4,V3) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #58: exists( #6, #56 ), references = 7, size of lhs = 1:
% 0.78/1.00 P_divide-{F}(V0,V0,V1) | P_inverse-{T}(V1,V1)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #69: exists( #4, #65 ), references = 5, size of lhs = 6:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V3,V6,V7) | P_divide-{T}(V7,V7,V4)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #70: exists( #4, #63 ), references = 2, size of lhs = 11:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V1,V3), P_divide-{F}(V1,V0,V4), P_divide-{F}(V2,V5,V6), P_divide-{F}(V6,V7,V8), P_divide-{F}(V3,V7,V9), P_divide-{F}(V5,V10,V11), P_divide-{F}(V4,V10,V12), P_divide-{F}(V11,V12,V13), P_divide-{F}(V0,V13,V14) | P_divide-{T}(V8,V9,V14)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #71: exists( #4, #64 ), references = 1, size of lhs = 12:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V1,V3), P_inverse-{F}(V4,V1), P_divide-{F}(V5,V5,V1), P_divide-{F}(V1,V5,V6), P_divide-{F}(V6,V4,V1), P_divide-{F}(V6,V7,V1), P_divide-{F}(V8,V7,V1), P_divide-{F}(V2,V8,V9), P_divide-{F}(V9,V10,V11), P_divide-{F}(V3,V10,V12) | P_divide-{T}(V11,V12,V1)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #81: mergings( V3 == V4; #79 ), references = 4, size of lhs = 20:
% 0.78/1.00 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V4,V1), P_divide-{F}(V5,V6,V1), P_divide-{F}(V6,V6,V7), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V9,V10), P_divide-{F}(V10,V9,V1), P_divide-{F}(V9,V8,V11), P_divide-{F}(V8,V12,V2), P_divide-{F}(V10,V13,V14), P_divide-{F}(V14,V2,V15), P_divide-{F}(V16,V16,V15), P_divide-{F}(V15,V16,V2), P_divide-{F}(V16,V1,V17), P_divide-{F}(V13,V18,V19), P_divide-{F}(V11,V18,V20), P_divide-{F}(V19,V20,V12) | P_inverse-{T}(V2,V17)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #92: exists( #4, #90 ), references = 2, size of lhs = 3:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #109: exists( #4, #105 ), references = 5, size of lhs = 3:
% 0.78/1.00 P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), #-{F} V3 | P_divide-{T}(V3,V3,V2)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #110: exists( #4, #106 ), references = 1, size of lhs = 8:
% 0.78/1.00 P_inverse-{F}(V0,V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V3,V6,V8), P_divide-{F}(V7,V8,V1), #-{F} V9 | P_divide-{T}(V9,V9,V4)
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #119: mergings( V2 == V5, V5 == V6; #116 ), references = 1, size of lhs = 13:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V1,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V3,V1), P_inverse-{F}(V4,V5), P_multiply-{F}(V5,V4,V1), P_divide-{F}(V6,V6,V7), P_divide-{F}(V7,V7,V8), P_divide-{F}(V8,V7,V1), P_divide-{F}(V8,V9,V1), P_divide-{F}(V9,V9,V10) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #125: exists( #4, #123 ), references = 1, size of lhs = 2:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #142: exists( #6, #140 ), references = 1, size of lhs = 7:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V1), P_multiply-{F}(V2,V1,V1), P_divide-{F}(V3,V3,V4), P_divide-{F}(V5,V5,V4), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V6,V2) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #153: exists( #4, #151 ), references = 2, size of lhs = 3:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V1) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #167: mergings( V3 == V6, V6 == V7; #164 ), references = 1, size of lhs = 13:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V2,V2), P_divide-{F}(V3,V3,V2), P_divide-{F}(V4,V4,V2), P_inverse-{F}(V5,V6), P_multiply-{F}(V6,V5,V2), P_divide-{F}(V7,V7,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V2), P_divide-{F}(V9,V10,V2), P_divide-{F}(V10,V10,V11) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #173: exists( #4, #171 ), references = 1, size of lhs = 2:
% 0.78/1.00 P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #175: exists( #8, #172 ), references = 1, size of lhs = 1:
% 0.78/1.00 P_b2-{F}(V0) | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 #177: exists( #7, #174 ), references = 1, size of lhs = 0:
% 0.78/1.00 FALSE | FALSE
% 0.78/1.00 (used 0 times, uses = {})
% 0.78/1.00
% 0.78/1.00 number of learnt formulas = 22
% 0.78/1.00
% 0.78/1.00
% 0.78/1.00 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.00
% 0.78/1.00 randbase = 1
%------------------------------------------------------------------------------