TSTP Solution File: TOP005-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 1.32s 1.51s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 07:12:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.32/1.51 GeoParameters:
% 1.32/1.51
% 1.32/1.51 tptp_input = 1
% 1.32/1.51 tptp_output = 0
% 1.32/1.51 nonempty = 1
% 1.32/1.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.32/1.51
% 1.32/1.51
% 1.32/1.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.51
% 1.32/1.51 RuleSystem INPUT:
% 1.32/1.51
% 1.32/1.51 Initial Rules:
% 1.32/1.51 #0: input, references = 14, size of lhs = 3:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #1: input, references = 14, size of lhs = 3:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #2: input, references = 6, size of lhs = 4:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #3: input, references = 8, size of lhs = 4:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #4: input, references = 6, size of lhs = 4:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #5: input, references = 12, size of lhs = 2:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #6: input, references = 21, size of lhs = 5:
% 1.32/1.51 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)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #7: input, references = 7, size of lhs = 2:
% 1.32/1.51 #-{F} V1, element_of_set-{F}(V2,V0) | subset_sets-{T}(V0,V1), element_of_set-{T}(V2,V1)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #8: input, references = 15, size of lhs = 3:
% 1.32/1.51 P_union_of_members-{F}(V1,V2), element_of_collection-{F}(V0,V1), subset_sets-{F}(V3,V0) | subset_sets-{T}(V3,V2)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #9: input, references = 16, size of lhs = 2:
% 1.32/1.51 subset_collections-{F}(V0,V1), element_of_collection-{F}(V2,V0) | element_of_collection-{T}(V2,V1)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #10: input, references = 5, size of lhs = 3:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2) | subset_collections-{T}(V0,V2)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #11: input, references = 18, size of lhs = 5:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), element_of_collection-{F}(V3,V2) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #12: input, references = 5, size of lhs = 1:
% 1.32/1.51 #-{F} V0 | EXISTS V1: P_union_of_members-{T}(V0,V1)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #13: input, references = 8, size of lhs = 2:
% 1.32/1.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #14: input, references = 5, size of lhs = 1:
% 1.32/1.51 #-{F} V0 | EXISTS V1: P_top_of_basis-{T}(V0,V1)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #15: input, references = 6, size of lhs = 3:
% 1.32/1.51 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f10-{T}(V0,V1,V2,V3)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #16: input, references = 6, size of lhs = 2:
% 1.32/1.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_f11-{T}(V0,V1,V2)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #17: input, references = 4, size of lhs = 0:
% 1.32/1.51 FALSE | EXISTS V0: P_g-{T}(V0)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #18: input, references = 4, size of lhs = 0:
% 1.32/1.51 FALSE | EXISTS V0: P_f-{T}(V0)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 number of initial rules = 19
% 1.32/1.51
% 1.32/1.51 Simplifiers:
% 1.32/1.51 #19: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 subset_collections-{F}(V0,V1), subset_collections-{F}(V2,V3), V0 == V2 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #20: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_union_of_members-{F}(V0,V1), P_union_of_members-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #21: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #22: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_top_of_basis-{F}(V0,V1), P_top_of_basis-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #23: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_f10-{F}(V0,V1,V2,V3), P_f10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #24: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_f11-{F}(V0,V1,V2), P_f11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #25: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #26: unsound, references = 3, size of lhs = 3:
% 1.32/1.51 P_f-{F}(V0), P_f-{F}(V1), V0 == V1 | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 number of simplifiers = 8
% 1.32/1.51
% 1.32/1.51 Learnt:
% 1.32/1.51 #29: disj( #5, #9+#11 ), references = 1, size of lhs = 7:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), subset_collections-{F}(V4,V2), P_top_of_basis-{F}(V5,V4), P_f11-{F}(V5,V3,V6) | element_of_set-{T}(V6,V3)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #34: disj( #7, #1+#11 ), references = 3, size of lhs = 7:
% 1.32/1.51 P_g-{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}(V0,V4), P_f1-{F}(V2,V5,V4), element_of_set-{F}(V5,V6) | subset_sets-{T}(V6,V3)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #54: mergings( V0 == V16, V14 == V15, V12 == V16, V11 == V15, V3 == V8, V7 == V15, V4 == V9, V5 == V10; #45 ), references = 1, size of lhs = 13:
% 1.32/1.51 P_g-{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}(V0,V4), P_union_of_members-{F}(V5,V4), subset_collections-{F}(V5,V2), subset_collections-{F}(V5,V6), P_top_of_basis-{F}(V6,V5), P_f11-{F}(V6,V3,V7), P_f1-{F}(V2,V7,V4), P_f11-{F}(V6,V4,V7), element_of_set-{F}(V7,V4) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #63: disj( #5, #0+#6+#8+#6+#9+#11 ), references = 1, size of lhs = 19:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), P_union_of_members-{F}(V4,V3), P_top_of_basis-{F}(V5,V4), element_of_collection-{F}(V6,V5), subset_sets-{F}(V6,V7), P_f11-{F}(V5,V7,V8), P_f1-{F}(V9,V8,V6), P_union_of_members-{F}(V9,V10), P_f11-{F}(V11,V10,V8), P_top_of_basis-{F}(V11,V12), subset_sets-{F}(V13,V7), element_of_collection-{F}(V13,V14), P_top_of_basis-{F}(V14,V15), subset_collections-{F}(V15,V2), P_f11-{F}(V14,V3,V16), element_of_set-{F}(V16,V13) | element_of_collection-{T}(V10,V12)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #76: disj( #5, #1+#9+#11 ), references = 1, size of lhs = 9:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), subset_collections-{F}(V4,V2), P_union_of_members-{F}(V4,V5), P_f1-{F}(V4,V6,V3), P_f11-{F}(V7,V5,V6), P_top_of_basis-{F}(V7,V8) | element_of_collection-{T}(V5,V8)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #83: disj( #5, #8+#6+#9+#11 ), references = 1, size of lhs = 13:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), P_union_of_members-{F}(V4,V3), P_top_of_basis-{F}(V5,V4), subset_collections-{F}(V6,V2), P_top_of_basis-{F}(V7,V6), P_f11-{F}(V7,V3,V8), element_of_set-{F}(V8,V9), element_of_collection-{F}(V9,V7), subset_sets-{F}(V9,V10), P_f11-{F}(V5,V10,V11) | element_of_set-{T}(V11,V10)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #97: disj( #7, #8+#8+#6+#8+#6+#9+#11 ), references = 5, size of lhs = 20:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), P_union_of_members-{F}(V4,V3), P_top_of_basis-{F}(V5,V4), subset_collections-{F}(V6,V2), P_top_of_basis-{F}(V7,V6), P_f11-{F}(V7,V3,V8), element_of_set-{F}(V8,V9), element_of_collection-{F}(V9,V7), subset_sets-{F}(V9,V10), P_f11-{F}(V5,V10,V11), element_of_set-{F}(V11,V12), element_of_collection-{F}(V12,V5), element_of_set-{F}(V13,V12), P_union_of_members-{F}(V14,V10), element_of_collection-{F}(V15,V14), P_union_of_members-{F}(V16,V15), element_of_collection-{F}(V17,V16) | element_of_set-{T}(V13,V17)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #136: mergings( V8 == V20, V20 == V21, V3 == V9, V7 == V12, V9 == V13, V12 == V16, V4 == V10, V5 == V11, V10 == V14, V11 == V15; #125 ), references = 3, size of lhs = 32:
% 1.32/1.51 P_g-{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}(V0,V4), P_f1-{F}(V2,V5,V4), element_of_set-{F}(V5,V6), P_union_of_members-{F}(V7,V6), P_top_of_basis-{F}(V7,V8), P_union_of_members-{F}(V8,V9), element_of_collection-{F}(V9,V10), P_union_of_members-{F}(V10,V4), element_of_collection-{F}(V6,V11), P_union_of_members-{F}(V11,V12), P_f11-{F}(V7,V3,V13), element_of_set-{F}(V13,V14), element_of_collection-{F}(V14,V15), P_top_of_basis-{F}(V15,V16), P_union_of_members-{F}(V16,V4), P_f11-{F}(V15,V12,V17), element_of_set-{F}(V17,V14), subset_collections-{F}(V18,V2), P_top_of_basis-{F}(V19,V18), P_f11-{F}(V19,V4,V20), element_of_set-{F}(V20,V21), element_of_collection-{F}(V21,V19), subset_sets-{F}(V21,V12), subset_sets-{F}(V22,V3), element_of_collection-{F}(V22,V23), P_top_of_basis-{F}(V23,V2), P_f11-{F}(V23,V4,V24), element_of_set-{F}(V24,V22) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #187: mergings( V17 == V21, V10 == V20, V3 == V7, V6 == V11, V4 == V8, V5 == V9; #179 ), references = 2, size of lhs = 26:
% 1.32/1.51 P_g-{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}(V0,V4), P_f1-{F}(V2,V5,V4), element_of_set-{F}(V5,V6), subset_sets-{F}(V6,V3), element_of_collection-{F}(V6,V7), P_top_of_basis-{F}(V7,V8), P_union_of_members-{F}(V8,V4), element_of_collection-{F}(V6,V9), P_top_of_basis-{F}(V9,V10), subset_collections-{F}(V10,V2), P_f11-{F}(V9,V3,V11), P_f11-{F}(V7,V3,V11), element_of_set-{F}(V11,V12), P_f1-{F}(V13,V11,V6), P_union_of_members-{F}(V13,V14), subset_collections-{F}(V10,V15), P_union_of_members-{F}(V15,V3), P_top_of_basis-{F}(V16,V10), P_f11-{F}(V16,V4,V17), element_of_set-{F}(V17,V18), element_of_collection-{F}(V18,V16), subset_sets-{F}(V18,V3) | subset_sets-{T}(V12,V14)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #196: mergings( V22 == V27, V27 == V33, V16 == V24, V24 == V29, V3 == V7, V6 == V11, V4 == V8, V5 == V9; #180 ), references = 1, size of lhs = 52:
% 1.32/1.51 P_g-{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}(V0,V4), P_f1-{F}(V2,V5,V4), element_of_set-{F}(V5,V6), element_of_collection-{F}(V6,V7), P_top_of_basis-{F}(V7,V8), P_union_of_members-{F}(V8,V4), subset_sets-{F}(V6,V9), P_union_of_members-{F}(V10,V9), P_top_of_basis-{F}(V10,V11), P_union_of_members-{F}(V11,V12), subset_sets-{F}(V12,V3), P_f11-{F}(V10,V3,V13), element_of_set-{F}(V13,V9), P_union_of_members-{F}(V14,V9), P_top_of_basis-{F}(V14,V15), P_union_of_members-{F}(V15,V12), subset_collections-{F}(V15,V2), P_f1-{F}(V14,V5,V16), subset_sets-{F}(V16,V9), P_f11-{F}(V14,V4,V17), element_of_set-{F}(V17,V16), element_of_collection-{F}(V6,V18), P_top_of_basis-{F}(V18,V15), subset_collections-{F}(V15,V19), P_union_of_members-{F}(V19,V9), P_f11-{F}(V7,V9,V20), P_f11-{F}(V18,V9,V20), element_of_set-{F}(V20,V21), P_f1-{F}(V22,V20,V6), P_union_of_members-{F}(V22,V23), P_top_of_basis-{F}(V19,V24), P_union_of_members-{F}(V24,V4), P_f11-{F}(V19,V9,V25), element_of_set-{F}(V25,V9), P_top_of_basis-{F}(V26,V15), P_f11-{F}(V26,V4,V27), element_of_set-{F}(V27,V28), element_of_collection-{F}(V28,V26), subset_sets-{F}(V28,V9), P_union_of_members-{F}(V29,V4), P_top_of_basis-{F}(V29,V2), P_f11-{F}(V29,V4,V30), element_of_set-{F}(V30,V12), subset_sets-{F}(V31,V9), element_of_collection-{F}(V31,V32), P_top_of_basis-{F}(V32,V29), P_f11-{F}(V32,V12,V33), element_of_set-{F}(V33,V31) | subset_sets-{T}(V21,V23)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #236: mergings( V13 == V51, V51 == V49, V49 == V35, V42 == V39, V3 == V17, V7 == V20, V17 == V21, V20 == V25, V4 == V18, V5 == V19, V18 == V22, V19 == V23, V6 == V24; #222 ), references = 1, size of lhs = 65:
% 1.32/1.51 P_g-{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}(V0,V4), P_f1-{F}(V2,V5,V4), element_of_set-{F}(V5,V6), subset_sets-{F}(V6,V3), element_of_collection-{F}(V6,V7), P_top_of_basis-{F}(V7,V8), P_union_of_members-{F}(V8,V4), element_of_collection-{F}(V6,V9), P_top_of_basis-{F}(V9,V10), subset_collections-{F}(V10,V2), P_f11-{F}(V9,V3,V11), P_f11-{F}(V7,V3,V11), element_of_set-{F}(V11,V12), P_f1-{F}(V13,V11,V6), P_union_of_members-{F}(V13,V14), subset_sets-{F}(V14,V3), subset_collections-{F}(V10,V15), P_union_of_members-{F}(V15,V3), P_f11-{F}(V16,V3,V11), P_union_of_members-{F}(V16,V17), P_top_of_basis-{F}(V16,V18), P_union_of_members-{F}(V18,V14), subset_sets-{F}(V17,V19), P_union_of_members-{F}(V10,V19), subset_collections-{F}(V10,V20), P_union_of_members-{F}(V20,V17), P_top_of_basis-{F}(V20,V10), P_f11-{F}(V20,V4,V21), P_f1-{F}(V2,V21,V4), element_of_set-{F}(V21,V22), subset_sets-{F}(V22,V17), element_of_collection-{F}(V22,V23), P_top_of_basis-{F}(V23,V24), P_union_of_members-{F}(V24,V4), P_top_of_basis-{F}(V24,V2), P_f11-{F}(V24,V4,V25), element_of_set-{F}(V25,V14), P_f11-{F}(V23,V14,V26), element_of_set-{F}(V26,V22), element_of_collection-{F}(V22,V27), P_f11-{F}(V27,V17,V11), P_top_of_basis-{F}(V27,V28), P_union_of_members-{F}(V28,V4), element_of_collection-{F}(V22,V29), P_top_of_basis-{F}(V29,V30), P_union_of_members-{F}(V30,V4), P_f11-{F}(V29,V19,V31), element_of_set-{F}(V31,V22), element_of_collection-{F}(V22,V32), P_f11-{F}(V32,V17,V11), P_top_of_basis-{F}(V32,V10), P_top_of_basis-{F}(V33,V10), P_f11-{F}(V33,V4,V34), element_of_set-{F}(V34,V35), element_of_collection-{F}(V35,V33), subset_sets-{F}(V35,V3), P_top_of_basis-{F}(V36,V10), P_f11-{F}(V36,V4,V37), element_of_set-{F}(V37,V38), element_of_collection-{F}(V38,V36), subset_sets-{F}(V38,V17) | subset_sets-{T}(V12,V22)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #303: mergings( V9 == V10, V10 == V11, V11 == V12; #299 ), references = 1, size of lhs = 11:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), P_union_of_members-{F}(V4,V3), element_of_collection-{F}(V5,V4), element_of_collection-{F}(V5,V6), subset_collections-{F}(V6,V2), P_top_of_basis-{F}(V7,V6), P_f11-{F}(V7,V3,V8), element_of_set-{F}(V8,V5) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #310: mergings( V6 == V7, V7 == V10, V0 == V9; #306 ), references = 1, size of lhs = 9:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), subset_collections-{F}(V4,V2), P_union_of_members-{F}(V4,V3), P_top_of_basis-{F}(V5,V4), P_f11-{F}(V5,V3,V6), element_of_set-{F}(V6,V3) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #318: mergings( V6 == V4, V2 == V10, V10 == V3, V3 == V5; #313 ), references = 2, size of lhs = 7:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V2,V0), P_top_of_basis-{F}(V3,V0), P_union_of_members-{F}(V0,V4), P_f11-{F}(V2,V4,V5), P_f11-{F}(V3,V4,V5) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #320: exists( #16, #318 ), references = 1, size of lhs = 4:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V2,V0), P_union_of_members-{F}(V0,V3) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #322: exists( #12, #319 ), references = 1, size of lhs = 3:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V2,V0) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #326: disj( #5, #1+#6+#11 ), references = 1, size of lhs = 11:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), P_top_of_basis-{F}(V4,V2), P_union_of_members-{F}(V4,V5), subset_sets-{F}(V5,V3), P_f11-{F}(V4,V3,V6), P_f1-{F}(V4,V6,V5), P_f11-{F}(V7,V5,V6), P_top_of_basis-{F}(V7,V8) | element_of_collection-{T}(V5,V8)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #328: disj( #5, input ), references = 2, size of lhs = 6:
% 1.32/1.51 P_g-{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}(V0,V4), P_f11-{F}(V3,V4,V5) | element_of_set-{T}(V5,V4)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #338: disj( #5, #0+#4+#8+#6+#11 ), references = 2, size of lhs = 17:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_union_of_members-{F}(V0,V3), P_union_of_members-{F}(V4,V3), element_of_collection-{F}(V5,V4), element_of_collection-{F}(V5,V6), P_top_of_basis-{F}(V7,V6), P_top_of_basis-{F}(V8,V2), P_f11-{F}(V8,V3,V9), element_of_set-{F}(V9,V10), element_of_collection-{F}(V10,V8), P_f10-{F}(V7,V5,V11,V10), P_f1-{F}(V12,V11,V5), P_union_of_members-{F}(V12,V13), P_f11-{F}(V14,V13,V11), P_top_of_basis-{F}(V14,V15) | element_of_collection-{T}(V13,V15)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #343: disj( #5, #3+#11 ), references = 1, size of lhs = 9:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_top_of_basis-{F}(V2,V3), P_top_of_basis-{F}(V4,V3), P_union_of_members-{F}(V0,V5), element_of_set-{F}(V6,V7), P_f10-{F}(V2,V7,V6,V5), P_f11-{F}(V4,V7,V8) | element_of_set-{T}(V8,V7)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #368: mergings( V7 == V9, V9 == V10, V10 == V14; #364 ), references = 3, size of lhs = 13:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_top_of_basis-{F}(V2,V3), P_union_of_members-{F}(V0,V4), P_top_of_basis-{F}(V5,V3), element_of_collection-{F}(V6,V3), element_of_collection-{F}(V6,V7), P_union_of_members-{F}(V7,V8), P_f11-{F}(V5,V8,V9), element_of_set-{F}(V9,V6), element_of_set-{F}(V10,V8), P_f10-{F}(V2,V8,V10,V4) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #375: mergings( V6 == V9, V9 == V10; #372 ), references = 1, size of lhs = 11:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_top_of_basis-{F}(V2,V3), P_union_of_members-{F}(V0,V4), P_top_of_basis-{F}(V5,V3), P_union_of_members-{F}(V3,V6), P_f11-{F}(V5,V6,V7), element_of_set-{F}(V7,V6), element_of_set-{F}(V8,V6), P_f10-{F}(V2,V6,V8,V4) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #393: disj( #5, #0+#368 ), references = 1, size of lhs = 16:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1), P_top_of_basis-{F}(V1,V2), P_top_of_basis-{F}(V2,V3), P_union_of_members-{F}(V0,V4), P_top_of_basis-{F}(V5,V3), element_of_collection-{F}(V6,V3), element_of_collection-{F}(V6,V7), P_union_of_members-{F}(V7,V8), P_f11-{F}(V5,V8,V9), P_f1-{F}(V10,V9,V6), P_union_of_members-{F}(V10,V11), P_f11-{F}(V12,V11,V9), P_top_of_basis-{F}(V12,V13), element_of_set-{F}(V14,V8), P_f10-{F}(V2,V8,V14,V4) | element_of_collection-{T}(V11,V13)
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #425: mergings( V15 == V6, V6 == V16, V16 == V17, V4 == V8, V7 == V12, V5 == V9, V17 == V10; #417 ), references = 2, size of lhs = 14:
% 1.32/1.51 P_g-{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}(V0,V4), P_union_of_members-{F}(V5,V4), P_f11-{F}(V3,V4,V6), P_f1-{F}(V5,V6,V7), element_of_set-{F}(V6,V7), element_of_collection-{F}(V7,V2), element_of_collection-{F}(V7,V8), P_union_of_members-{F}(V8,V4), P_f11-{F}(V9,V4,V6), P_top_of_basis-{F}(V9,V2) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #434: mergings( V16 == V5, V5 == V18, V18 == V19, V3 == V7, V6 == V11, V4 == V8, V19 == V9; #426 ), references = 2, size of lhs = 14:
% 1.32/1.51 P_g-{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}(V0,V4), P_union_of_members-{F}(V5,V4), P_f11-{F}(V3,V4,V6), P_f1-{F}(V5,V6,V7), element_of_set-{F}(V6,V7), element_of_collection-{F}(V7,V2), element_of_collection-{F}(V7,V8), P_union_of_members-{F}(V8,V4), P_f11-{F}(V9,V4,V6), P_top_of_basis-{F}(V9,V2) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #463: mergings( V8 == V7, V7 == V9; #459 ), references = 1, size of lhs = 11:
% 1.32/1.51 P_g-{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}(V0,V4), P_f11-{F}(V3,V4,V5), element_of_set-{F}(V5,V4), subset_collections-{F}(V6,V2), P_union_of_members-{F}(V6,V4), P_f11-{F}(V7,V4,V5), P_top_of_basis-{F}(V7,V2) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #466: mergings( V8 == V7, V7 == V9; #460 ), references = 1, size of lhs = 11:
% 1.32/1.51 P_g-{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}(V0,V4), P_f11-{F}(V3,V4,V5), element_of_set-{F}(V5,V4), subset_collections-{F}(V6,V2), P_union_of_members-{F}(V6,V4), P_f11-{F}(V7,V4,V5), P_top_of_basis-{F}(V7,V2) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #474: mergings( V5 == V8, V3 == V6, V4 == V7; #469 ), references = 1, size of lhs = 7:
% 1.32/1.51 P_g-{F}(V0), P_union_of_members-{F}(V0,V1), P_f-{F}(V2), P_top_of_basis-{F}(V2,V3), P_top_of_basis-{F}(V4,V3), subset_collections-{F}(V5,V3), P_union_of_members-{F}(V5,V1) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #481: mergings( V2 == V3, V3 == V5; #477 ), references = 1, size of lhs = 3:
% 1.32/1.51 P_g-{F}(V0), P_union_of_members-{F}(V0,V1), P_f-{F}(V2) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #484: exists( #12, #477 ), references = 1, size of lhs = 2:
% 1.32/1.51 P_g-{F}(V0), P_f-{F}(V1) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #487: exists( #18, #482 ), references = 1, size of lhs = 1:
% 1.32/1.51 P_g-{F}(V0) | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 #490: exists( #17, #485 ), references = 1, size of lhs = 0:
% 1.32/1.51 FALSE | FALSE
% 1.32/1.51 (used 0 times, uses = {})
% 1.32/1.51
% 1.32/1.51 number of learnt formulas = 32
% 1.32/1.51
% 1.32/1.51
% 1.32/1.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.51
% 1.32/1.51 randbase = 1
%------------------------------------------------------------------------------