TSTP Solution File: SEU264+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU264+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 06:17:39 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % 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 18:59:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41 GeoParameters:
% 0.18/0.41
% 0.18/0.41 tptp_input = 1
% 0.18/0.41 tptp_output = 0
% 0.18/0.41 nonempty = 1
% 0.18/0.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 RuleSystem INPUT:
% 0.18/0.41
% 0.18/0.41 Initial Rules:
% 0.18/0.41 #0: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_cartesian_product2-{F}(V2,V1,V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | relation-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #1: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_cartesian_product2-{F}(V0,V1,V3), P_powerset-{F}(V3,V4), relation_of2_as_subset-{F}(V2,V0,V1) | element-{T}(V2,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #2: input, references = 3, size of lhs = 2:
% 0.18/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #3: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp0-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #4: input, references = 3, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #5: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #6: input, references = 3, size of lhs = 2:
% 0.18/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #7: input, references = 3, size of lhs = 1:
% 0.18/0.41 pppp2-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #8: input, references = 3, size of lhs = 1:
% 0.18/0.41 relation_of2_as_subset-{F}(V2,V0,V1) | relation_of2-{T}(V2,V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #9: input, references = 3, size of lhs = 1:
% 0.18/0.41 relation_of2-{F}(V2,V0,V1) | relation_of2_as_subset-{T}(V2,V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #10: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #11: input, references = 3, size of lhs = 3:
% 0.18/0.41 P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), relation_of2_as_subset-{F}(V2,V0,V1) | subset-{T}(V3,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #12: input, references = 4, size of lhs = 3:
% 0.18/0.41 P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), relation_of2_as_subset-{F}(V2,V0,V1) | subset-{T}(V4,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #13: input, references = 5, size of lhs = 3:
% 0.18/0.41 P_relation_rng-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V0,V3), subset-{F}(V2,V4) | relation_of2_as_subset-{T}(V1,V0,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #14: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #15: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #16: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V1,V0,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #17: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V3,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #18: input, references = 4, size of lhs = 2:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), relation_of2_as_subset-{F}(V2,V0,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #19: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp3-{F}(V0,V1,V2,V3) | subset-{T}(V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #20: input, references = 4, size of lhs = 1:
% 0.18/0.41 pppp3-{F}(V0,V1,V2,V3) | relation_of2_as_subset-{T}(V3,V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #21: input, references = 4, size of lhs = 2:
% 0.18/0.41 subset-{F}(V0,V1), subset-{F}(V2,V0) | subset-{T}(V2,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #22: input, references = 3, size of lhs = 2:
% 0.18/0.41 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #23: input, references = 3, size of lhs = 2:
% 0.18/0.41 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #24: input, references = 3, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #25: input, references = 3, size of lhs = 2:
% 0.18/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #26: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #27: input, references = 4, size of lhs = 1:
% 0.18/0.41 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of initial rules = 28
% 0.18/0.41
% 0.18/0.41 Simplifiers:
% 0.18/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V2,V7), V0 == V4 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of simplifiers = 17
% 0.18/0.41
% 0.18/0.41 Learnt:
% 0.18/0.41 #53: exists( #27, #51 ), references = 1, size of lhs = 5:
% 0.18/0.41 P_relation_dom-{F}(V0,V1), relation_of2_as_subset-{F}(V0,V2,V3), subset-{F}(V3,V4), pppp4-{F}(V5,V4,V0), relation_of2_as_subset-{F}(V0,V5,V6) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #55: exists( #26, #52 ), references = 2, size of lhs = 4:
% 0.18/0.41 subset-{F}(V0,V1), pppp4-{F}(V2,V1,V3), relation_of2_as_subset-{F}(V3,V4,V0), relation_of2_as_subset-{F}(V3,V2,V5) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #60: exists( #17, #58 ), references = 1, size of lhs = 1:
% 0.18/0.41 pppp4-{F}(V0,V1,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #62: exists( #16, #59 ), references = 1, size of lhs = 1:
% 0.18/0.41 pppp5-{F}(V0,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #64: exists( #15, #61 ), references = 1, size of lhs = 1:
% 0.18/0.41 pppp6-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #66: exists( #14, #63 ), references = 1, size of lhs = 0:
% 0.18/0.41 FALSE | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of learnt formulas = 6
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 randbase = 1
%------------------------------------------------------------------------------