TSTP Solution File: TOP004-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP004-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:26:50 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 07:08:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 GeoParameters:
% 0.12/0.36
% 0.12/0.36 tptp_input = 1
% 0.12/0.36 tptp_output = 0
% 0.12/0.36 nonempty = 1
% 0.12/0.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 RuleSystem INPUT:
% 0.12/0.36
% 0.12/0.36 Initial Rules:
% 0.12/0.36 #0: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_union_of_members-{F}(V0,V2), element_of_collection-{F}(V1,V0), element_of_set-{F}(V3,V1) | element_of_set-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #1: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_union_of_members-{F}(V0,V2), basis-{F}(V1,V0) | equal_sets-{T}(V2,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #2: input, references = 3, size of lhs = 7:
% 0.12/0.36 element_of_collection-{F}(V1,V0), P_intersection_of_sets-{F}(V2,V1,V3), element_of_collection-{F}(V2,V0), element_of_set-{F}(V4,V3), P_f6-{F}(V5,V0,V4,V2,V1,V6), basis-{F}(V5,V0), element_of_set-{F}(V4,V5) | element_of_set-{T}(V4,V6)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #3: input, references = 3, size of lhs = 7:
% 0.12/0.36 element_of_collection-{F}(V1,V0), P_intersection_of_sets-{F}(V2,V1,V3), element_of_collection-{F}(V2,V0), element_of_set-{F}(V4,V3), P_f6-{F}(V5,V0,V4,V2,V1,V6), basis-{F}(V5,V0), element_of_set-{F}(V4,V5) | element_of_collection-{T}(V6,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #4: input, references = 3, size of lhs = 7:
% 0.12/0.36 element_of_collection-{F}(V1,V0), P_intersection_of_sets-{F}(V2,V1,V3), element_of_collection-{F}(V2,V0), element_of_set-{F}(V4,V3), P_f6-{F}(V5,V0,V4,V2,V1,V6), basis-{F}(V5,V0), element_of_set-{F}(V4,V5) | subset_sets-{T}(V6,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #5: input, references = 3, size of lhs = 4:
% 0.12/0.36 element_of_set-{F}(V1,V0), P_top_of_basis-{F}(V2,V3), P_f10-{F}(V2,V0,V1,V4), element_of_collection-{F}(V0,V3) | element_of_set-{T}(V1,V4)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #6: input, references = 3, size of lhs = 4:
% 0.12/0.36 element_of_set-{F}(V1,V0), P_top_of_basis-{F}(V2,V3), P_f10-{F}(V2,V0,V1,V4), element_of_collection-{F}(V0,V3) | element_of_collection-{T}(V4,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #7: input, references = 3, size of lhs = 4:
% 0.12/0.36 element_of_set-{F}(V1,V0), P_top_of_basis-{F}(V2,V3), P_f10-{F}(V2,V0,V1,V4), element_of_collection-{F}(V0,V3) | subset_sets-{T}(V4,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #8: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_top_of_basis-{F}(V1,V2), P_f11-{F}(V1,V0,V3) | element_of_collection-{T}(V0,V2), element_of_set-{T}(V3,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #9: input, references = 3, size of lhs = 5:
% 0.12/0.36 P_top_of_basis-{F}(V0,V2), element_of_collection-{F}(V1,V0), P_f11-{F}(V0,V3,V4), element_of_set-{F}(V4,V1), subset_sets-{F}(V1,V3) | element_of_collection-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #10: input, references = 3, size of lhs = 2:
% 0.12/0.36 subset_sets-{F}(V0,V1), subset_sets-{F}(V2,V0) | subset_sets-{T}(V2,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #11: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_intersection_of_sets-{F}(V0,V2,V3), element_of_set-{F}(V1,V3) | element_of_set-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #12: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_intersection_of_sets-{F}(V2,V0,V3), element_of_set-{F}(V1,V3) | element_of_set-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #13: input, references = 3, size of lhs = 3:
% 0.12/0.36 element_of_set-{F}(V1,V0), P_intersection_of_sets-{F}(V2,V0,V3), element_of_set-{F}(V1,V2) | element_of_set-{T}(V1,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #14: input, references = 3, size of lhs = 4:
% 0.12/0.36 subset_sets-{F}(V0,V1), P_intersection_of_sets-{F}(V0,V3,V4), P_intersection_of_sets-{F}(V1,V2,V5), subset_sets-{F}(V3,V2) | subset_sets-{T}(V4,V5)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 3, size of lhs = 2:
% 0.12/0.36 equal_sets-{F}(V2,V0), element_of_set-{F}(V1,V2) | element_of_set-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #16: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_intersection_of_sets-{F}(V0,V1,V2), P_intersection_of_sets-{F}(V1,V0,V3) | equal_sets-{T}(V2,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #17: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_cx-{F}(V0), P_f-{F}(V1) | basis-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #18: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), #-{F} V3 | element_of_collection-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #19: input, references = 3, size of lhs = 4:
% 0.12/0.36 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), #-{F} V3 | element_of_collection-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #20: input, references = 4, size of lhs = 5:
% 0.12/0.36 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_intersection_of_sets-{F}(V3,V4,V5), element_of_collection-{F}(V5,V2) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #21: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_union_of_members-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #22: input, references = 4, size of lhs = 2:
% 0.12/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_of_sets-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #23: input, references = 3, size of lhs = 5:
% 0.12/0.36 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_f6-{T}(V0,V1,V2,V3,V4,V5)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #24: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_top_of_basis-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #25: input, references = 3, size of lhs = 3:
% 0.12/0.36 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f10-{T}(V0,V1,V2,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #26: input, references = 3, size of lhs = 2:
% 0.12/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_f11-{T}(V0,V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #27: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_cx-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #28: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_f-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of initial rules = 29
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 basis-{F}(V0,V1), basis-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 basis-{F}(V0,V1), basis-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_union_of_members-{F}(V0,V1), P_union_of_members-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_intersection_of_sets-{F}(V0,V1,V2), P_intersection_of_sets-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_f6-{F}(V0,V1,V2,V3,V4,V5), P_f6-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #34: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_top_of_basis-{F}(V0,V1), P_top_of_basis-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #35: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_f10-{F}(V0,V1,V2,V3), P_f10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #36: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_f11-{F}(V0,V1,V2), P_f11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_cx-{F}(V0), P_cx-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #38: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_f-{F}(V0), P_f-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of simplifiers = 10
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #42: mergings( V2 == V3; #40 ), references = 1, size of lhs = 3:
% 0.12/0.36 P_cx-{F}(V0), P_f-{F}(V1), P_intersection_of_sets-{F}(V2,V3,V4) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #45: mergings( V3 == V4; #43 ), references = 1, size of lhs = 2:
% 0.12/0.36 P_cx-{F}(V0), P_f-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #48: mergings( V1 == V2; #46 ), references = 1, size of lhs = 1:
% 0.12/0.36 P_cx-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #50: exists( #27, #46 ), references = 1, size of lhs = 0:
% 0.12/0.36 FALSE | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of learnt formulas = 4
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 randbase = 1
%------------------------------------------------------------------------------