TSTP Solution File: CAT009-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 05:58:49 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : CAT009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % 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 07:31:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.64 GeoParameters:
% 0.47/0.64
% 0.47/0.64 tptp_input = 1
% 0.47/0.64 tptp_output = 0
% 0.47/0.64 nonempty = 1
% 0.47/0.64 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 RuleSystem INPUT:
% 0.47/0.64
% 0.47/0.64 Initial Rules:
% 0.47/0.64 #0: input, references = 5, size of lhs = 2:
% 0.47/0.64 P_compose-{F}(V0,V1,V2), defined-{F}(V0,V1) | product-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #1: input, references = 3, size of lhs = 1:
% 0.47/0.64 product-{F}(V0,V1,V2) | defined-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #2: input, references = 4, size of lhs = 2:
% 0.47/0.64 defined-{F}(V1,V0), product-{F}(V3,V2,V1) | defined-{T}(V2,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #3: input, references = 3, size of lhs = 3:
% 0.47/0.64 defined-{F}(V1,V0), product-{F}(V3,V0,V2), product-{F}(V4,V3,V1) | defined-{T}(V4,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #4: input, references = 3, size of lhs = 3:
% 0.47/0.64 product-{F}(V1,V0,V2), product-{F}(V4,V0,V3), product-{F}(V5,V4,V1) | product-{T}(V5,V3,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #5: input, references = 4, size of lhs = 2:
% 0.47/0.64 product-{F}(V0,V2,V1), defined-{F}(V3,V1) | defined-{T}(V3,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #6: input, references = 4, size of lhs = 3:
% 0.47/0.64 product-{F}(V3,V0,V2), product-{F}(V4,V3,V1), defined-{F}(V4,V2) | defined-{T}(V1,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #7: input, references = 3, size of lhs = 3:
% 0.47/0.64 product-{F}(V4,V0,V3), product-{F}(V5,V3,V2), product-{F}(V5,V4,V1) | product-{T}(V1,V0,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #8: input, references = 3, size of lhs = 3:
% 0.47/0.64 identity_map-{F}(V0), defined-{F}(V0,V1), defined-{F}(V2,V0) | defined-{T}(V2,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #9: input, references = 5, size of lhs = 1:
% 0.47/0.64 P_domain-{F}(V0,V1) | identity_map-{T}(V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #10: input, references = 4, size of lhs = 1:
% 0.47/0.64 P_codomain-{F}(V0,V1) | identity_map-{T}(V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #11: input, references = 5, size of lhs = 1:
% 0.47/0.64 P_domain-{F}(V0,V1) | defined-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #12: input, references = 5, size of lhs = 1:
% 0.47/0.64 P_codomain-{F}(V0,V1) | defined-{T}(V1,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #13: input, references = 5, size of lhs = 1:
% 0.47/0.64 P_domain-{F}(V0,V1) | product-{T}(V0,V1,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #14: input, references = 6, size of lhs = 1:
% 0.47/0.64 P_codomain-{F}(V0,V1) | product-{T}(V1,V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #15: input, references = 5, size of lhs = 2:
% 0.47/0.64 identity_map-{F}(V0), defined-{F}(V0,V1) | product-{T}(V0,V1,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #16: input, references = 7, size of lhs = 2:
% 0.47/0.64 identity_map-{F}(V0), defined-{F}(V1,V0) | product-{T}(V1,V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #17: input, references = 8, size of lhs = 3:
% 0.47/0.64 product-{F}(V3,V2,V0), product-{F}(V3,V2,V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #18: input, references = 4, size of lhs = 2:
% 0.47/0.64 P_b-{F}(V0), P_a-{F}(V1) | defined-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #19: input, references = 5, size of lhs = 5:
% 0.47/0.64 P_b-{F}(V0), P_a-{F}(V1), P_compose-{F}(V0,V1,V2), P_domain-{F}(V2,V4), P_domain-{F}(V1,V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #20: input, references = 5, size of lhs = 2:
% 0.47/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #21: input, references = 7, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #22: input, references = 5, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #23: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #24: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of initial rules = 25
% 0.47/0.64
% 0.47/0.64 Simplifiers:
% 0.47/0.64 #25: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #26: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #27: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #28: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #29: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of simplifiers = 5
% 0.47/0.64
% 0.47/0.64 Learnt:
% 0.47/0.64 #37: exists( #22, #35 ), references = 1, size of lhs = 1:
% 0.47/0.64 identity_map-{F}(V0) | P_codomain-{T}(V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #40: exists( #20, #38 ), references = 1, size of lhs = 2:
% 0.47/0.64 defined-{F}(V0,V1), product-{F}(V0,V1,V2) | P_compose-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #42: exists( #21, #19 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_b-{F}(V0), P_a-{F}(V1), P_compose-{F}(V0,V1,V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #76: exists( #22, #74 ), references = 2, size of lhs = 3:
% 0.47/0.64 identity_map-{F}(V0), defined-{F}(V1,V0), defined-{F}(V1,V2) | P_codomain-{T}(V2,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #101: exists( #21, #99 ), references = 1, size of lhs = 1:
% 0.47/0.64 identity_map-{F}(V0) | P_domain-{T}(V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #118: exists( #21, #116 ), references = 1, size of lhs = 2:
% 0.47/0.64 identity_map-{F}(V0), defined-{F}(V1,V0) | P_domain-{T}(V1,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #123: exists( #20, #121 ), references = 2, size of lhs = 7:
% 0.47/0.64 identity_map-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_domain-{F}(V2,V0), defined-{F}(V1,V2), product-{F}(V2,V0,V3), defined-{F}(V1,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #128: exists( #21, #126 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_b-{F}(V0), P_a-{F}(V1), defined-{F}(V0,V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #131: exists( #24, #129 ), references = 1, size of lhs = 1:
% 0.47/0.64 P_b-{F}(V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #133: exists( #23, #130 ), references = 1, size of lhs = 0:
% 0.47/0.64 FALSE | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of learnt formulas = 10
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 randbase = 1
%------------------------------------------------------------------------------