TSTP Solution File: GRP574-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:04:08 EDT 2022
% Result : Unsatisfiable 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 14:21:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.65 GeoParameters:
% 0.47/0.65
% 0.47/0.65 tptp_input = 1
% 0.47/0.65 tptp_output = 0
% 0.47/0.65 nonempty = 1
% 0.47/0.65 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65
% 0.47/0.65 RuleSystem INPUT:
% 0.47/0.65
% 0.47/0.65 Initial Rules:
% 0.47/0.65 #0: input, references = 9, size of lhs = 9:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V1,V10), V10 == V3 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #1: input, references = 6, size of lhs = 6:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), V4 == V6 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #2: input, references = 5, size of lhs = 5:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V0,V4), V3 == V4 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #3: input, references = 4, size of lhs = 5:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V3,V4), V0 == V4 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #4: input, references = 5, size of lhs = 4:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #5: input, references = 9, size of lhs = 2:
% 0.47/0.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #6: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #7: input, references = 5, size of lhs = 2:
% 0.47/0.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #8: input, references = 9, size of lhs = 1:
% 0.47/0.65 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #9: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_a2-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 number of initial rules = 10
% 0.47/0.65
% 0.47/0.65 Simplifiers:
% 0.47/0.65 #10: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #11: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #12: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #13: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #14: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 number of simplifiers = 5
% 0.47/0.65
% 0.47/0.65 Learnt:
% 0.47/0.65 #17: exists( #5, #2 ), references = 6, size of lhs = 2:
% 0.47/0.65 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #18: exists( #5, #3 ), references = 2, size of lhs = 4:
% 0.47/0.65 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #20: exists( #5, #0 ), references = 7, size of lhs = 7:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V4,V8,V9) | P_double_divide-{T}(V9,V1,V6)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #27: exists( #5, #18 ), references = 7, size of lhs = 2:
% 0.47/0.65 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #28: exists( #5, #2 ), references = 4, size of lhs = 3:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #34: mergings( V0 == V3; #32 ), references = 1, size of lhs = 4:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), V0 == V2 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #37: exists( #7, #1 ), references = 2, size of lhs = 4:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V2) | P_multiply-{T}(V5,V4,V3)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #44: exists( #8, #42 ), references = 4, size of lhs = 3:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V3)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #56: exists( #7, #54 ), references = 4, size of lhs = 2:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #63: exists( #8, #61 ), references = 1, size of lhs = 2:
% 0.47/0.65 P_a2-{F}(V0), P_identity-{F}(V0) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #78: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #73 ), references = 1, size of lhs = 13:
% 0.47/0.65 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}(V3,V5,V6), P_double_divide-{F}(V5,V1,V7), P_double_divide-{F}(V8,V6,V9), P_double_divide-{F}(V9,V4,V10), P_double_divide-{F}(V2,V11,V10), P_double_divide-{F}(V11,V8,V12), P_double_divide-{F}(V13,V12,V1), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V8,V14,V1) | P_double_divide-{T}(V5,V10,V7)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #89: mergings( V3 == V5, V4 == V6; #86 ), references = 3, size of lhs = 11:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V9,V10,V1), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V6,V11,V12), P_double_divide-{F}(V10,V12,V13), P_double_divide-{F}(V13,V1,V14) | P_double_divide-{T}(V4,V8,V14)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #113: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #107 ), references = 1, size of lhs = 19:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V4,V1,V6), P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V11,V1), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V7,V12,V13), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V14,V1,V15), P_double_divide-{F}(V15,V9,V16), P_double_divide-{F}(V3,V16,V17), P_double_divide-{F}(V18,V17,V19), P_double_divide-{F}(V18,V0,V20), P_double_divide-{F}(V21,V20,V1), P_double_divide-{F}(V22,V19,V21), V6 == V22 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #118: mergings( V3 == V5, V4 == V6, V5 == V6, V6 == V7; #108 ), references = 1, size of lhs = 16:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V9,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V7,V14), P_double_divide-{F}(V2,V14,V15), P_double_divide-{F}(V16,V17,V15), P_multiply-{F}(V17,V16,V18), V18 == V3 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #128: mergings( V6 == V7, V2 == V3, V3 == V5, V4 == V5, V5 == V7; #122 ), references = 1, size of lhs = 13:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V2,V3), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V5,V3,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V5,V12,V13), P_double_divide-{F}(V11,V13,V9) | P_inverse-{T}(V2,V4)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #145: mergings( V5 == V6, V6 == V12, V7 == V8, V10 == V11, V2 == V3, V3 == V4, V4 == V12, V12 == V8, V8 == V9, V11 == V9; #134 ), references = 2, size of lhs = 11:
% 0.47/0.65 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V8,V10,V6) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #156: exists( #8, #154 ), references = 1, size of lhs = 2:
% 0.47/0.65 P_identity-{F}(V0), P_a2-{F}(V1) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #158: exists( #9, #155 ), references = 1, size of lhs = 1:
% 0.47/0.65 P_identity-{F}(V0) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #160: exists( #6, #157 ), references = 1, size of lhs = 0:
% 0.47/0.65 FALSE | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 number of learnt formulas = 19
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65
% 0.47/0.65 randbase = 1
%------------------------------------------------------------------------------