TSTP Solution File: TOP001-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:26:49 EDT 2022
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:29:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.56/0.75 GeoParameters:
% 0.56/0.75
% 0.56/0.75 tptp_input = 1
% 0.56/0.75 tptp_output = 0
% 0.56/0.75 nonempty = 1
% 0.56/0.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75
% 0.56/0.75 RuleSystem INPUT:
% 0.56/0.75
% 0.56/0.75 Initial Rules:
% 0.56/0.75 #0: input, references = 4, size of lhs = 3:
% 0.56/0.75 P_union_of_members-{F}(V1,V2), P_f1-{F}(V1,V0,V3), element_of_set-{F}(V0,V2) | element_of_set-{T}(V0,V3)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #1: input, references = 8, size of lhs = 3:
% 0.56/0.75 P_union_of_members-{F}(V1,V2), P_f1-{F}(V1,V0,V3), element_of_set-{F}(V0,V2) | element_of_collection-{T}(V3,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #2: input, references = 6, size of lhs = 3:
% 0.56/0.75 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)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #3: input, references = 4, size of lhs = 2:
% 0.56/0.75 P_union_of_members-{F}(V0,V2), basis-{F}(V1,V0) | equal_sets-{T}(V2,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #4: input, references = 4, size of lhs = 4:
% 0.56/0.75 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)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #5: input, references = 8, size of lhs = 4:
% 0.56/0.75 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)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #6: input, references = 3, size of lhs = 1:
% 0.56/0.75 #-{F} V0 | subset_sets-{T}(V0,V0)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #7: input, references = 17, size of lhs = 2:
% 0.56/0.75 subset_sets-{F}(V0,V1), element_of_set-{F}(V2,V0) | element_of_set-{T}(V2,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #8: input, references = 4, size of lhs = 1:
% 0.56/0.75 equal_sets-{F}(V0,V1) | subset_sets-{T}(V0,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #9: input, references = 11, size of lhs = 1:
% 0.56/0.75 P_in_1st_set-{F}(V0,V1,V2) | subset_sets-{T}(V0,V1), element_of_set-{T}(V2,V0)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #10: input, references = 9, size of lhs = 2:
% 0.56/0.75 P_in_1st_set-{F}(V0,V1,V2), element_of_set-{F}(V2,V1) | subset_sets-{T}(V0,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #11: input, references = 4, size of lhs = 2:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1) | basis-{T}(V0,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #12: input, references = 9, size of lhs = 5:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), subset_sets-{F}(V3,V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #13: input, references = 5, size of lhs = 1:
% 0.56/0.75 #-{F} V0 | EXISTS V1: P_union_of_members-{T}(V0,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #14: input, references = 4, size of lhs = 2:
% 0.56/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #15: input, references = 4, size of lhs = 1:
% 0.56/0.75 #-{F} V0 | EXISTS V1: P_top_of_basis-{T}(V0,V1)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #16: input, references = 4, size of lhs = 3:
% 0.56/0.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f10-{T}(V0,V1,V2,V3)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #17: input, references = 4, size of lhs = 2:
% 0.56/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_in_1st_set-{T}(V0,V1,V2)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #18: input, references = 4, size of lhs = 0:
% 0.56/0.75 FALSE | EXISTS V0: P_cx-{T}(V0)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #19: input, references = 4, size of lhs = 0:
% 0.56/0.75 FALSE | EXISTS V0: P_f-{T}(V0)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 number of initial rules = 20
% 0.56/0.75
% 0.56/0.75 Simplifiers:
% 0.56/0.75 #20: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 basis-{F}(V0,V1), basis-{F}(V2,V3), V0 == V2 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #21: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 basis-{F}(V0,V1), basis-{F}(V2,V3), V1 == V3 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #22: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 equal_sets-{F}(V0,V1), equal_sets-{F}(V2,V3), V1 == V3 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #23: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_union_of_members-{F}(V0,V1), P_union_of_members-{F}(V0,V3), V1 == V3 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #24: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #25: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_top_of_basis-{F}(V0,V1), P_top_of_basis-{F}(V0,V3), V1 == V3 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #26: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_f10-{F}(V0,V1,V2,V3), P_f10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #27: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_in_1st_set-{F}(V0,V1,V2), P_in_1st_set-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #28: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_cx-{F}(V0), P_cx-{F}(V1), V0 == V1 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #29: unsound, references = 3, size of lhs = 3:
% 0.56/0.75 P_f-{F}(V0), P_f-{F}(V1), V0 == V1 | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 number of simplifiers = 10
% 0.56/0.75
% 0.56/0.75 Learnt:
% 0.56/0.75 #31: disj( #9, input ), references = 2, size of lhs = 5:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4) | element_of_set-{T}(V4,V3)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #40: disj( #9, #7+#1+#5+#5+#2+#7+#10+#12 ), references = 1, size of lhs = 16:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), subset_sets-{F}(V6,V0), P_union_of_members-{F}(V7,V6), P_top_of_basis-{F}(V7,V8), P_top_of_basis-{F}(V8,V9), P_union_of_members-{F}(V9,V10), subset_sets-{F}(V10,V11), P_f1-{F}(V9,V12,V10), P_f10-{F}(V8,V10,V12,V11), P_f10-{F}(V7,V11,V12,V5), P_in_1st_set-{F}(V10,V13,V12) | subset_sets-{T}(V10,V13)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #49: disj( #9, #7+#1+#5+#5+#2+#7+#10+#12 ), references = 1, size of lhs = 16:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), subset_sets-{F}(V6,V0), P_union_of_members-{F}(V7,V6), P_top_of_basis-{F}(V7,V8), P_top_of_basis-{F}(V8,V9), P_union_of_members-{F}(V9,V10), P_f1-{F}(V9,V11,V10), P_f10-{F}(V8,V10,V11,V12), subset_sets-{F}(V12,V10), P_f10-{F}(V7,V12,V11,V5), P_in_1st_set-{F}(V12,V13,V11) | subset_sets-{T}(V12,V13)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #56: disj( #9, #7+#10+#7+#7+#10+#12 ), references = 2, size of lhs = 10:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), subset_sets-{F}(V6,V0), P_in_1st_set-{F}(V5,V6,V7), subset_sets-{F}(V8,V6), P_in_1st_set-{F}(V8,V9,V7) | subset_sets-{T}(V8,V9)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #65: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V0, V7 == V11; #59 ), references = 1, size of lhs = 9:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), subset_sets-{F}(V4,V0), P_in_1st_set-{F}(V3,V4,V5), P_in_1st_set-{F}(V4,V4,V6), element_of_set-{F}(V6,V3), P_in_1st_set-{F}(V3,V0,V6) | element_of_set-{T}(V5,V3)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #83: mergings( V8 == V10; #81 ), references = 4, size of lhs = 10:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), element_of_collection-{F}(V5,V6), P_top_of_basis-{F}(V7,V6), P_union_of_members-{F}(V7,V8), subset_sets-{F}(V8,V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #93: disj( #9, #7+#7+#1+#83 ), references = 1, size of lhs = 14:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), subset_sets-{F}(V6,V0), P_union_of_members-{F}(V7,V6), P_top_of_basis-{F}(V7,V8), P_union_of_members-{F}(V8,V9), P_f1-{F}(V8,V10,V5), subset_sets-{F}(V11,V9), subset_sets-{F}(V12,V11), P_in_1st_set-{F}(V12,V13,V10) | subset_sets-{T}(V12,V13)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #102: disj( #9, #7+#7+#10+#12 ), references = 1, size of lhs = 8:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), subset_sets-{F}(V6,V0), P_in_1st_set-{F}(V5,V6,V7) | element_of_set-{T}(V7,V5)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #117: disj( #9, #7+#1+#83 ), references = 1, size of lhs = 13:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), subset_sets-{F}(V6,V0), P_union_of_members-{F}(V7,V6), P_top_of_basis-{F}(V7,V8), P_union_of_members-{F}(V8,V9), P_f1-{F}(V8,V10,V5), element_of_set-{F}(V10,V11), P_in_1st_set-{F}(V11,V9,V12) | element_of_set-{T}(V12,V11)
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #124: mergings( V7 == V10; #122 ), references = 1, size of lhs = 10:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_in_1st_set-{F}(V3,V0,V4), element_of_set-{F}(V4,V5), P_union_of_members-{F}(V6,V5), P_top_of_basis-{F}(V7,V6), P_union_of_members-{F}(V7,V8), subset_sets-{F}(V8,V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #129: mergings( V3 == V5, V4 == V6; #126 ), references = 1, size of lhs = 8:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V2,V3), P_union_of_members-{F}(V4,V3), P_top_of_basis-{F}(V5,V4), P_union_of_members-{F}(V5,V6), subset_sets-{F}(V6,V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #132: mergings( V2 == V4; #130 ), references = 1, size of lhs = 6:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_top_of_basis-{F}(V3,V2), P_union_of_members-{F}(V3,V4), subset_sets-{F}(V4,V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #134: exists( #15, #130 ), references = 1, size of lhs = 4:
% 0.56/0.75 P_cx-{F}(V0), P_f-{F}(V1), P_union_of_members-{F}(V1,V2), subset_sets-{F}(V2,V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #138: exists( #13, #136 ), references = 1, size of lhs = 3:
% 0.56/0.75 P_cx-{F}(V0), basis-{F}(V0,V1), P_f-{F}(V1) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #141: exists( #19, #139 ), references = 1, size of lhs = 1:
% 0.56/0.75 P_cx-{F}(V0) | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 #143: exists( #18, #140 ), references = 1, size of lhs = 0:
% 0.56/0.75 FALSE | FALSE
% 0.56/0.75 (used 0 times, uses = {})
% 0.56/0.75
% 0.56/0.75 number of learnt formulas = 16
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75
% 0.56/0.75 randbase = 1
%------------------------------------------------------------------------------