TSTP Solution File: SET631+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:16:30 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.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 : Sat Jul 23 01:37:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 GeoParameters:
% 0.19/0.46
% 0.19/0.46 tptp_input = 1
% 0.19/0.46 tptp_output = 0
% 0.19/0.46 nonempty = 1
% 0.19/0.46 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 RuleSystem INPUT:
% 0.19/0.46
% 0.19/0.46 Initial Rules:
% 0.19/0.46 #0: input, references = 14, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #1: input, references = 3, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #2: input, references = 10, size of lhs = 1:
% 0.19/0.46 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #3: input, references = 8, size of lhs = 2:
% 0.19/0.46 pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #4: input, references = 3, size of lhs = 2:
% 0.19/0.46 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #5: input, references = 13, size of lhs = 1:
% 0.19/0.46 intersect-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #6: input, references = 5, size of lhs = 1:
% 0.19/0.46 pppp1-{F}(V0,V1) | intersect-{T}(V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #7: input, references = 9, size of lhs = 1:
% 0.19/0.46 pppp1-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #8: input, references = 7, size of lhs = 2:
% 0.19/0.46 member-{F}(V2,V0), member-{F}(V2,V1) | pppp1-{T}(V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #9: input, references = 10, size of lhs = 1:
% 0.19/0.46 pppp2-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #10: input, references = 7, size of lhs = 1:
% 0.19/0.46 pppp2-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #11: input, references = 6, size of lhs = 1:
% 0.19/0.46 intersect-{F}(V0,V1) | intersect-{T}(V1,V0)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #12: input, references = 4, size of lhs = 0:
% 0.19/0.46 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #13: input, references = 5, size of lhs = 1:
% 0.19/0.46 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #14: input, references = 8, size of lhs = 1:
% 0.19/0.46 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #15: input, references = 5, size of lhs = 2:
% 0.19/0.46 pppp4-{F}(V0,V1), intersect-{F}(V0,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #16: input, references = 13, size of lhs = 2:
% 0.19/0.46 pppp3-{F}(V0,V1,V2), P_difference-{F}(V1,V2,V3) | intersect-{T}(V0,V3)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #17: input, references = 10, size of lhs = 2:
% 0.19/0.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 number of initial rules = 18
% 0.19/0.46
% 0.19/0.46 Simplifiers:
% 0.19/0.46 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.46 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 number of simplifiers = 8
% 0.19/0.46
% 0.19/0.46 Learnt:
% 0.19/0.46 #29: exists( #7, #27 ), references = 2, size of lhs = 2:
% 0.19/0.46 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #36: exists( #17, #34 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V1,V1), pppp3-{F}(V1,V2,V3) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #38: exists( #14, #35 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V1,V1), pppp4-{F}(V1,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #50: exists( #7, #46 ), references = 1, size of lhs = 2:
% 0.19/0.46 pppp4-{F}(V0,V0), pppp1-{F}(V0,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #51: exists( #7, #47 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V0,V1), pppp1-{F}(V1,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #58: exists( #17, #54 ), references = 1, size of lhs = 2:
% 0.19/0.46 pppp4-{F}(V0,V0), pppp3-{F}(V0,V1,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #59: exists( #17, #55 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V0,V1), pppp3-{F}(V1,V2,V3) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #63: mergings( V0 == V1; #60 ), references = 1, size of lhs = 1:
% 0.19/0.46 pppp4-{F}(V0,V0) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #64: exists( #14, #57 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V0,V1), pppp4-{F}(V1,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #66: exists( #13, #61 ), references = 1, size of lhs = 2:
% 0.19/0.46 pppp5-{F}(V0), P_difference-{F}(V1,V1,V0) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #75: exists( #7, #73 ), references = 3, size of lhs = 3:
% 0.19/0.46 pppp1-{F}(V0,V1), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V2,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #84: exists( #17, #82 ), references = 1, size of lhs = 3:
% 0.19/0.46 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), pppp3-{F}(V2,V4,V5) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #100: exists( #7, #96 ), references = 1, size of lhs = 3:
% 0.19/0.46 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V3), P_difference-{F}(V3,V4,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #101: exists( #7, #97 ), references = 3, size of lhs = 4:
% 0.19/0.46 pppp1-{F}(V0,V1), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V5,V2), P_difference-{F}(V6,V4,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #108: exists( #17, #104 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V1,V2), pppp3-{F}(V1,V2,V3) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #109: exists( #17, #105 ), references = 1, size of lhs = 3:
% 0.19/0.46 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), pppp3-{F}(V4,V2,V5) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #112: exists( #14, #106 ), references = 1, size of lhs = 2:
% 0.19/0.46 pppp4-{F}(V0,V1), P_difference-{F}(V2,V0,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #113: exists( #14, #107 ), references = 1, size of lhs = 3:
% 0.19/0.46 pppp4-{F}(V0,V1), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V2,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #124: exists( #17, #122 ), references = 1, size of lhs = 4:
% 0.19/0.46 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), P_difference-{F}(V2,V4,V5), pppp3-{F}(V5,V6,V7) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #146: exists( #7, #140 ), references = 1, size of lhs = 3:
% 0.19/0.46 pppp1-{F}(V0,V1), P_difference-{F}(V2,V3,V3), P_difference-{F}(V3,V4,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #147: exists( #7, #142 ), references = 1, size of lhs = 5:
% 0.19/0.46 pppp1-{F}(V0,V1), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V5,V2), P_difference-{F}(V6,V7,V4), P_difference-{F}(V8,V6,V4) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #157: exists( #17, #151 ), references = 1, size of lhs = 2:
% 0.19/0.46 P_difference-{F}(V0,V1,V1), pppp3-{F}(V2,V1,V3) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #158: exists( #17, #153 ), references = 1, size of lhs = 4:
% 0.19/0.46 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), P_difference-{F}(V2,V4,V5), pppp3-{F}(V6,V5,V7) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #161: exists( #14, #154 ), references = 1, size of lhs = 2:
% 0.19/0.46 pppp4-{F}(V0,V1), P_difference-{F}(V2,V1,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #176: exists( #7, #174 ), references = 1, size of lhs = 3:
% 0.19/0.46 pppp1-{F}(V0,V1), pppp4-{F}(V0,V2), P_difference-{F}(V2,V3,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #180: exists( #17, #178 ), references = 1, size of lhs = 2:
% 0.19/0.46 pppp4-{F}(V0,V1), pppp3-{F}(V0,V1,V2) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #182: exists( #14, #179 ), references = 1, size of lhs = 1:
% 0.19/0.46 pppp4-{F}(V0,V1) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #184: exists( #13, #181 ), references = 1, size of lhs = 1:
% 0.19/0.46 pppp5-{F}(V0) | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 #186: exists( #12, #183 ), references = 1, size of lhs = 0:
% 0.19/0.46 FALSE | FALSE
% 0.19/0.46 (used 0 times, uses = {})
% 0.19/0.46
% 0.19/0.46 number of learnt formulas = 29
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 randbase = 1
%------------------------------------------------------------------------------