TSTP Solution File: SEU324+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:49 EDT 2022
% Result : Theorem 0.91s 1.11s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 18:42:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.91/1.11 GeoParameters:
% 0.91/1.11
% 0.91/1.11 tptp_input = 1
% 0.91/1.11 tptp_output = 0
% 0.91/1.11 nonempty = 1
% 0.91/1.11 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.91/1.11
% 0.91/1.11
% 0.91/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11
% 0.91/1.11 RuleSystem INPUT:
% 0.91/1.11
% 0.91/1.11 Initial Rules:
% 0.91/1.11 #0: input, references = 6, size of lhs = 9:
% 0.91/1.11 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
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #1: input, references = 3, size of lhs = 5:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #2: input, references = 4, size of lhs = 3:
% 0.91/1.11 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), element-{F}(V1,V2) | element-{T}(V3,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #3: input, references = 4, size of lhs = 5:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #4: input, references = 3, size of lhs = 1:
% 0.91/1.11 top_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #5: input, references = 3, size of lhs = 0:
% 0.91/1.11 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #6: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp0-{F}(V0) | top_str-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #7: input, references = 3, size of lhs = 0:
% 0.91/1.11 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #8: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp1-{F}(V0) | one_sorted_str-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #9: input, references = 3, size of lhs = 1:
% 0.91/1.11 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #10: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #11: input, references = 3, size of lhs = 6:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #12: input, references = 3, size of lhs = 7:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #13: input, references = 3, size of lhs = 7:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #14: input, references = 4, size of lhs = 6:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0), P_interior-{F}(V0,V3,V4), element-{F}(V3,V2) | open_subset-{T}(V4,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #15: input, references = 5, size of lhs = 5:
% 0.91/1.11 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
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #16: input, references = 3, size of lhs = 4:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp3-{T}(V0,V3,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #17: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp3-{F}(V0,V1,V2) | open_subset-{T}(V1,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #18: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp3-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #19: input, references = 3, size of lhs = 4:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #20: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp4-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #21: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp4-{F}(V0,V1,V2) | open_subset-{T}(V1,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #22: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp4-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #23: input, references = 3, size of lhs = 4:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), topological_space-{F}(V0), top_str-{F}(V0) | EXISTS V3: pppp5-{T}(V0,V3,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #24: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp5-{F}(V0,V1,V2) | closed_subset-{T}(V1,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #25: input, references = 3, size of lhs = 1:
% 0.91/1.11 pppp5-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #26: input, references = 3, size of lhs = 1:
% 0.91/1.11 #-{F} V0 | subset-{T}(V0,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #27: input, references = 4, size of lhs = 6:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_subset_complement-{F}(V1,V3,V4), element-{F}(V3,V2), open_subset-{F}(V3,V0) | closed_subset-{T}(V4,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #28: input, references = 3, size of lhs = 6:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_subset_complement-{F}(V1,V3,V4), element-{F}(V3,V2), closed_subset-{F}(V4,V0) | open_subset-{T}(V3,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #29: input, references = 3, size of lhs = 2:
% 0.91/1.11 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #30: input, references = 3, size of lhs = 2:
% 0.91/1.11 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #31: input, references = 4, size of lhs = 7:
% 0.91/1.11 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), closed_subset-{F}(V3,V0), V4 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #32: input, references = 3, size of lhs = 6:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V0), P_topstr_closure-{F}(V0,V3,V3), element-{F}(V3,V2), topological_space-{F}(V0) | closed_subset-{T}(V3,V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #33: input, references = 4, size of lhs = 0:
% 0.91/1.11 FALSE | EXISTS V0: pppp10-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #34: input, references = 4, size of lhs = 3:
% 0.91/1.11 pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V0,V3,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #35: input, references = 4, size of lhs = 3:
% 0.91/1.11 pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | top_str-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #36: input, references = 4, size of lhs = 3:
% 0.91/1.11 pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | topological_space-{T}(V0)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #37: input, references = 4, size of lhs = 3:
% 0.91/1.11 pppp9-{F}(V0,V1,V2), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V3,V4) | EXISTS V5: pppp8-{T}(V0,V1,V5,V2,V4)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #38: input, references = 4, size of lhs = 3:
% 0.91/1.11 pppp9-{F}(V0,V1,V2), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V3,V4) | top_str-{T}(V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #39: input, references = 5, size of lhs = 2:
% 0.91/1.11 pppp8-{F}(V0,V1,V2,V3,V4), P_interior-{F}(V0,V2,V5) | EXISTS V6: pppp7-{T}(V0,V1,V2,V4,V5,V6)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #40: input, references = 4, size of lhs = 2:
% 0.91/1.11 pppp8-{F}(V0,V1,V2,V3,V4), P_interior-{F}(V0,V2,V5) | element-{T}(V2,V3)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #41: input, references = 8, size of lhs = 2:
% 0.91/1.11 pppp7-{F}(V0,V1,V2,V3,V4,V5), P_interior-{F}(V1,V5,V6) | pppp6-{T}(V0,V1,V2,V5,V3,V6,V4)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #42: input, references = 4, size of lhs = 2:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V3,V6), open_subset-{F}(V2,V0) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #43: input, references = 4, size of lhs = 2:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V3,V6), V6 == V2 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #44: input, references = 4, size of lhs = 2:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6), open_subset-{F}(V2,V0) | open_subset-{T}(V3,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #45: input, references = 5, size of lhs = 2:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6), V6 == V2 | open_subset-{T}(V3,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #46: input, references = 5, size of lhs = 1:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6) | element-{T}(V3,V4)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #47: input, references = 5, size of lhs = 1:
% 0.91/1.11 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #48: input, references = 5, size of lhs = 1:
% 0.91/1.11 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #49: input, references = 9, size of lhs = 2:
% 0.91/1.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_interior-{T}(V0,V1,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #50: input, references = 6, size of lhs = 2:
% 0.91/1.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #51: input, references = 5, size of lhs = 2:
% 0.91/1.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_topstr_closure-{T}(V0,V1,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 number of initial rules = 52
% 0.91/1.11
% 0.91/1.11 Simplifiers:
% 0.91/1.11 #52: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 topological_space-{F}(V0), topological_space-{F}(V1), V0 == V1 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #53: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #54: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #55: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 P_interior-{F}(V0,V1,V2), P_interior-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #56: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #57: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 P_topstr_closure-{F}(V0,V1,V2), P_topstr_closure-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #58: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #59: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #60: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #61: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #62: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #63: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #64: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #65: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #66: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #67: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6), pppp6-{F}(V0,V1,V2,V10,V4,V12,V6), V3 == V10 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #68: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6), pppp6-{F}(V7,V8,V9,V10,V11,V12,V13), V0 == V7 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #69: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6), pppp6-{F}(V0,V8,V2,V10,V11,V12,V13), V6 == V13 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #70: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp6-{F}(V0,V1,V2,V3,V4,V5,V6), pppp6-{F}(V7,V1,V9,V3,V11,V12,V13), V5 == V12 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #71: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp7-{F}(V0,V1,V2,V3,V4,V5), pppp7-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #72: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp7-{F}(V0,V1,V2,V3,V4,V5), pppp7-{F}(V6,V7,V8,V9,V10,V11), V0 == V6 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #73: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp7-{F}(V0,V1,V2,V3,V4,V5), pppp7-{F}(V0,V7,V2,V9,V10,V11), V4 == V10 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #74: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #75: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V6,V7,V3,V9), V1 == V6 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #76: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #77: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #78: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #79: unsound, references = 3, size of lhs = 3:
% 0.91/1.11 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 number of simplifiers = 28
% 0.91/1.11
% 0.91/1.11 Learnt:
% 0.91/1.11 #81: exists( #50, #15 ), references = 2, size of lhs = 3:
% 0.91/1.11 P_powerset-{F}(V0,V1), element-{F}(V2,V1), P_subset_complement-{F}(V0,V2,V3) | P_subset_complement-{T}(V0,V3,V2)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #83: exists( #51, #31 ), references = 2, size of lhs = 5:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), closed_subset-{F}(V3,V0) | P_topstr_closure-{T}(V0,V3,V3)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #85: exists( #49, #0 ), references = 1, size of lhs = 7:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #90: exists( #50, #0 ), references = 1, size of lhs = 7:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #96: mergings( V4 == V6, V3 == V5; #93 ), references = 1, size of lhs = 8:
% 0.91/1.11 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)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #117: mergings( V4 == V6, V6 == V7, V7 == V8, V5 == V0; #111 ), references = 4, size of lhs = 7:
% 0.91/1.11 top_str-{F}(V0), open_subset-{F}(V1,V0), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V1,V3), P_interior-{F}(V0,V1,V4), V4 == V1 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #123: mergings( V3 == V5; #121 ), references = 1, size of lhs = 5:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), open_subset-{F}(V3,V4), pppp7-{F}(V4,V0,V3,V2,V5,V6) | P_interior-{T}(V0,V6,V6)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #128: mergings( V7 == V8; #126 ), references = 2, size of lhs = 6:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), open_subset-{F}(V3,V4), pppp8-{F}(V4,V0,V3,V5,V2), P_interior-{F}(V4,V3,V6) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #130: exists( #49, #117 ), references = 1, size of lhs = 5:
% 0.91/1.11 top_str-{F}(V0), open_subset-{F}(V1,V0), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | P_interior-{T}(V0,V1,V1)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #139: exists( #49, #137 ), references = 1, size of lhs = 6:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp7-{F}(V4,V0,V5,V6,V7,V3), V7 == V5 | P_interior-{T}(V0,V3,V3)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #153: exists( #49, #151 ), references = 1, size of lhs = 5:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp7-{F}(V3,V0,V4,V2,V5,V6), V5 == V4 | P_interior-{T}(V0,V6,V6)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #157: exists( #39, #155 ), references = 2, size of lhs = 6:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp8-{F}(V3,V0,V4,V5,V2), P_interior-{F}(V3,V4,V6), V6 == V4 | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #160: exists( #49, #157 ), references = 1, size of lhs = 4:
% 0.91/1.11 top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp8-{F}(V3,V0,V4,V5,V2) | P_interior-{T}(V3,V4,V4)
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #167: mergings( V3 == V6, V6 == V8; #164 ), references = 2, size of lhs = 8:
% 0.91/1.11 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), top_str-{F}(V3), pppp9-{F}(V0,V3,V2), P_the_carrier-{F}(V3,V4), P_powerset-{F}(V4,V5) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #175: mergings( V2 == V6; #173 ), references = 1, size of lhs = 7:
% 0.91/1.11 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp9-{F}(V0,V3,V2), P_the_carrier-{F}(V3,V4), pppp9-{F}(V0,V3,V5) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #178: mergings( V2 == V5; #176 ), references = 1, size of lhs = 6:
% 0.91/1.11 topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp9-{F}(V0,V3,V2), pppp9-{F}(V0,V3,V4) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #181: mergings( V1 == V4; #179 ), references = 2, size of lhs = 5:
% 0.91/1.11 pppp10-{F}(V0), topological_space-{F}(V0), top_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #187: exists( #47, #185 ), references = 1, size of lhs = 2:
% 0.91/1.11 pppp10-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #189: exists( #48, #186 ), references = 1, size of lhs = 1:
% 0.91/1.11 pppp10-{F}(V0) | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 #191: exists( #33, #188 ), references = 1, size of lhs = 0:
% 0.91/1.11 FALSE | FALSE
% 0.91/1.11 (used 0 times, uses = {})
% 0.91/1.11
% 0.91/1.11 number of learnt formulas = 20
% 0.91/1.11
% 0.91/1.11
% 0.91/1.11 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11
% 0.91/1.11 randbase = 1
%------------------------------------------------------------------------------