TSTP Solution File: SEU323+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:17:49 EDT 2022
% Result : Theorem 0.76s 0.91s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n003.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 19:37:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.76/0.91 GeoParameters:
% 0.76/0.91
% 0.76/0.91 tptp_input = 1
% 0.76/0.91 tptp_output = 0
% 0.76/0.91 nonempty = 1
% 0.76/0.91 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.91 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.76/0.91
% 0.76/0.91
% 0.76/0.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.91
% 0.76/0.91 RuleSystem INPUT:
% 0.76/0.91
% 0.76/0.91 Initial Rules:
% 0.76/0.91 #0: input, references = 4, size of lhs = 7:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), P_subset_complement-{F}(V1,V3,V4), closed_subset-{F}(V3,V0), element-{F}(V3,V2) | open_subset-{T}(V4,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #1: input, references = 3, size of lhs = 4:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp0-{T}(V0,V3,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #2: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp0-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #3: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp0-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #4: input, references = 6, size of lhs = 5:
% 0.76/0.91 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), P_subset_complement-{F}(V0,V3,V4), element-{F}(V1,V2), V4 == V1 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #5: input, references = 3, size of lhs = 1:
% 0.76/0.91 #-{F} V0 | subset-{T}(V0,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #6: input, references = 3, size of lhs = 0:
% 0.76/0.91 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #7: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp1-{F}(V0) | one_sorted_str-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #8: input, references = 4, size of lhs = 3:
% 0.76/0.91 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), element-{F}(V1,V2) | element-{T}(V3,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #9: input, references = 6, size of lhs = 5:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_topstr_closure-{F}(V0,V3,V4), element-{F}(V3,V2) | element-{T}(V4,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #10: input, references = 4, size of lhs = 6:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), P_topstr_closure-{F}(V0,V3,V4), element-{F}(V3,V2) | closed_subset-{T}(V4,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #11: input, references = 3, size of lhs = 7:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), P_subset_complement-{F}(V1,V3,V4), open_subset-{F}(V3,V0), element-{F}(V3,V2) | closed_subset-{T}(V4,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #12: input, references = 3, size of lhs = 0:
% 0.76/0.91 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #13: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp2-{F}(V0) | top_str-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #14: input, references = 3, size of lhs = 1:
% 0.76/0.91 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #15: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #16: input, references = 3, size of lhs = 5:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_interior-{F}(V0,V3,V4), element-{F}(V3,V2) | element-{T}(V4,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #17: input, references = 3, size of lhs = 1:
% 0.76/0.91 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #18: input, references = 3, size of lhs = 4:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp4-{T}(V0,V3,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #19: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp4-{F}(V0,V1,V2) | open_subset-{T}(V1,V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #20: input, references = 3, size of lhs = 1:
% 0.76/0.91 pppp4-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #21: input, references = 3, size of lhs = 2:
% 0.76/0.91 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #22: input, references = 3, size of lhs = 2:
% 0.76/0.91 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #23: input, references = 6, size of lhs = 9:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_interior-{F}(V0,V3,V4), P_subset_complement-{F}(V1,V3,V5), P_topstr_closure-{F}(V0,V5,V6), P_subset_complement-{F}(V1,V6,V7), element-{F}(V3,V2), V4 == V7 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #24: input, references = 4, size of lhs = 0:
% 0.76/0.91 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #25: input, references = 4, size of lhs = 3:
% 0.76/0.91 pppp6-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V0,V3,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #26: input, references = 4, size of lhs = 3:
% 0.76/0.91 pppp6-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | top_str-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #27: input, references = 4, size of lhs = 3:
% 0.76/0.91 pppp6-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | topological_space-{T}(V0)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #28: input, references = 4, size of lhs = 3:
% 0.76/0.91 pppp5-{F}(V0,V1,V2), P_interior-{F}(V0,V1,V3), open_subset-{F}(V3,V0) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #29: input, references = 5, size of lhs = 2:
% 0.76/0.91 pppp5-{F}(V0,V1,V2), P_interior-{F}(V0,V1,V3) | element-{T}(V1,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #30: input, references = 4, size of lhs = 1:
% 0.76/0.91 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #31: input, references = 4, size of lhs = 1:
% 0.76/0.91 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #32: input, references = 6, size of lhs = 2:
% 0.76/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #33: input, references = 6, size of lhs = 2:
% 0.76/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_topstr_closure-{T}(V0,V1,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #34: input, references = 7, size of lhs = 2:
% 0.76/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_interior-{T}(V0,V1,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 number of initial rules = 35
% 0.76/0.91
% 0.76/0.91 Simplifiers:
% 0.76/0.91 #35: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #36: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 closed_subset-{F}(V0,V1), closed_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #37: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 open_subset-{F}(V0,V1), open_subset-{F}(V2,V3), V1 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #38: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #39: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #40: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #41: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 P_topstr_closure-{F}(V0,V1,V2), P_topstr_closure-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #42: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 P_interior-{F}(V0,V1,V2), P_interior-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #43: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #44: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #45: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #46: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #47: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #48: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #49: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #50: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #51: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #52: unsound, references = 3, size of lhs = 3:
% 0.76/0.91 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 number of simplifiers = 18
% 0.76/0.91
% 0.76/0.91 Learnt:
% 0.76/0.91 #54: exists( #32, #4 ), references = 2, size of lhs = 3:
% 0.76/0.91 P_powerset-{F}(V0,V1), element-{F}(V2,V1), P_subset_complement-{F}(V0,V2,V3) | P_subset_complement-{T}(V0,V3,V2)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #56: exists( #34, #23 ), references = 1, size of lhs = 7:
% 0.76/0.91 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4), P_topstr_closure-{F}(V0,V4,V5), P_subset_complement-{F}(V1,V5,V6) | P_interior-{T}(V0,V3,V6)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #58: exists( #32, #23 ), references = 4, size of lhs = 7:
% 0.76/0.91 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_interior-{F}(V0,V3,V4), P_subset_complement-{F}(V1,V3,V5), P_topstr_closure-{F}(V0,V5,V6) | P_subset_complement-{T}(V1,V6,V4)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #65: mergings( V4 == V6, V3 == V5; #62 ), references = 1, size of lhs = 8:
% 0.76/0.91 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_interior-{F}(V0,V3,V4), P_subset_complement-{F}(V1,V3,V5), element-{F}(V5,V2), P_subset_complement-{F}(V1,V4,V6) | P_topstr_closure-{T}(V0,V5,V6)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #81: mergings( V4 == V6, V3 == V5, V5 == V9, V6 == V10; #76 ), references = 1, size of lhs = 10:
% 0.76/0.91 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_interior-{F}(V0,V3,V4), P_subset_complement-{F}(V1,V3,V5), element-{F}(V5,V2), P_interior-{F}(V0,V6,V4), pppp5-{F}(V0,V6,V7) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #87: mergings( V4 == V6, V3 == V5, V5 == V8, V6 == V9; #82 ), references = 2, size of lhs = 8:
% 0.76/0.91 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4), element-{F}(V4,V2), pppp5-{F}(V0,V3,V5) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #97: mergings( V4 == V6, V6 == V11, V3 == V5, V5 == V10, V10 == V12; #91 ), references = 1, size of lhs = 12:
% 0.76/0.91 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), topological_space-{F}(V2), top_str-{F}(V2), P_the_carrier-{F}(V2,V1), P_powerset-{F}(V1,V3), element-{F}(V4,V3), P_interior-{F}(V0,V4,V5), element-{F}(V5,V3), P_subset_complement-{F}(V1,V4,V6), element-{F}(V6,V3), pppp5-{F}(V2,V5,V7) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #100: exists( #34, #23 ), references = 1, size of lhs = 7:
% 0.76/0.91 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4), P_topstr_closure-{F}(V0,V4,V5), P_subset_complement-{F}(V1,V5,V6) | P_interior-{T}(V0,V3,V6)
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #103: exists( #32, #101 ), references = 2, size of lhs = 6:
% 0.76/0.91 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp5-{F}(V0,V3,V4) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #112: mergings( V0 == V3; #108 ), references = 1, size of lhs = 6:
% 0.76/0.91 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp5-{F}(V0,V3,V2), pppp5-{F}(V0,V3,V4) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #113: exists( #34, #106 ), references = 1, size of lhs = 5:
% 0.76/0.91 P_powerset-{F}(V0,V1), pppp5-{F}(V2,V3,V1), P_subset_complement-{F}(V0,V3,V4), P_subset_complement-{F}(V0,V4,V5), V5 == V3 | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #116: mergings( V1 == V4; #114 ), references = 1, size of lhs = 5:
% 0.76/0.91 pppp6-{F}(V0), topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #120: exists( #30, #118 ), references = 1, size of lhs = 2:
% 0.76/0.91 pppp6-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #122: exists( #31, #119 ), references = 1, size of lhs = 1:
% 0.76/0.91 pppp6-{F}(V0) | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 #124: exists( #24, #121 ), references = 1, size of lhs = 0:
% 0.76/0.91 FALSE | FALSE
% 0.76/0.91 (used 0 times, uses = {})
% 0.76/0.91
% 0.76/0.91 number of learnt formulas = 15
% 0.76/0.91
% 0.76/0.91
% 0.76/0.91 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.91
% 0.76/0.91 randbase = 1
%------------------------------------------------------------------------------