TSTP Solution File: SET987+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:17:02 EDT 2022
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 : Sat Jul 23 02:28:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.55 GeoParameters:
% 0.18/0.55
% 0.18/0.55 tptp_input = 1
% 0.18/0.55 tptp_output = 0
% 0.18/0.55 nonempty = 1
% 0.18/0.55 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.55
% 0.18/0.55
% 0.18/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55
% 0.18/0.55 RuleSystem INPUT:
% 0.18/0.55
% 0.18/0.55 Initial Rules:
% 0.18/0.55 #0: input, references = 5, size of lhs = 2:
% 0.18/0.55 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #1: input, references = 4, size of lhs = 3:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #2: input, references = 3, size of lhs = 2:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #3: input, references = 3, size of lhs = 2:
% 0.18/0.55 P_set_union2-{F}(V1,V0,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #4: input, references = 4, size of lhs = 2:
% 0.18/0.55 P_set_union2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #5: input, references = 3, size of lhs = 0:
% 0.18/0.55 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #6: input, references = 3, size of lhs = 1:
% 0.18/0.55 pppp0-{F}(V0) | empty-{T}(V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #7: input, references = 3, size of lhs = 0:
% 0.18/0.55 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #8: input, references = 3, size of lhs = 2:
% 0.18/0.55 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #9: input, references = 4, size of lhs = 0:
% 0.18/0.55 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #10: input, references = 4, size of lhs = 1:
% 0.18/0.55 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #11: input, references = 6, size of lhs = 4:
% 0.18/0.55 pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V3,V2,V1) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #12: input, references = 4, size of lhs = 5:
% 0.18/0.55 pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V3,V2,V4), in-{F}(V0,V1) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #13: input, references = 6, size of lhs = 4:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2), P_set_difference-{F}(V2,V1,V3), P_set_difference-{F}(V0,V1,V4), V3 == V4 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #14: input, references = 3, size of lhs = 3:
% 0.18/0.55 P_singleton-{F}(V1,V2), P_set_difference-{F}(V0,V2,V0), in-{F}(V1,V0) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #15: input, references = 9, size of lhs = 3:
% 0.18/0.55 P_singleton-{F}(V1,V2), P_set_difference-{F}(V0,V2,V3), V3 == V0 | in-{T}(V1,V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #16: input, references = 6, size of lhs = 2:
% 0.18/0.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #17: input, references = 11, size of lhs = 2:
% 0.18/0.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #18: input, references = 4, size of lhs = 1:
% 0.18/0.55 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 number of initial rules = 19
% 0.18/0.55
% 0.18/0.55 Simplifiers:
% 0.18/0.55 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.55 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 number of simplifiers = 8
% 0.18/0.55
% 0.18/0.55 Learnt:
% 0.18/0.55 #28: exists( #16, #4 ), references = 1, size of lhs = 1:
% 0.18/0.55 #-{F} V0 | P_set_union2-{T}(V0,V0,V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #31: exists( #16, #1 ), references = 2, size of lhs = 1:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #34: exists( #17, #32 ), references = 1, size of lhs = 1:
% 0.18/0.55 P_singleton-{F}(V0,V1) | P_set_difference-{T}(V0,V1,V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #38: exists( #17, #36 ), references = 4, size of lhs = 2:
% 0.18/0.55 in-{F}(V0,V1), P_singleton-{F}(V1,V2) | P_set_difference-{T}(V0,V2,V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #45: exists( #17, #43 ), references = 1, size of lhs = 5:
% 0.18/0.55 P_singleton-{F}(V0,V1), P_set_union2-{F}(V2,V1,V3), P_singleton-{F}(V3,V4), P_set_difference-{F}(V2,V1,V5), V3 == V5 | P_set_difference-{T}(V0,V4,V0)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #50: exists( #17, #48 ), references = 1, size of lhs = 5:
% 0.18/0.55 pppp2-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V0,V3), P_set_union2-{F}(V1,V3,V1), P_singleton-{F}(V4,V3) | P_set_difference-{T}(V4,V2,V4)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #56: exists( #17, #13 ), references = 4, size of lhs = 2:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3) | P_set_difference-{T}(V2,V1,V3)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #62: exists( #17, #13 ), references = 1, size of lhs = 2:
% 0.18/0.55 P_set_union2-{F}(V0,V1,V2), P_set_difference-{F}(V2,V1,V3) | P_set_difference-{T}(V0,V1,V3)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #89: exists( #17, #87 ), references = 1, size of lhs = 5:
% 0.18/0.55 pppp2-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V0,V3), P_singleton-{F}(V4,V3), P_set_union2-{F}(V1,V3,V5) | P_set_difference-{T}(V4,V2,V4)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #94: exists( #17, #92 ), references = 1, size of lhs = 3:
% 0.18/0.55 pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V1,V2,V3) | P_set_difference-{T}(V1,V2,V1)
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #100: mergings( V3 == V4; #98 ), references = 1, size of lhs = 2:
% 0.18/0.55 pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #102: exists( #10, #98 ), references = 1, size of lhs = 2:
% 0.18/0.55 pppp3-{F}(V0), P_singleton-{F}(V0,V1) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #104: exists( #18, #101 ), references = 1, size of lhs = 1:
% 0.18/0.55 pppp3-{F}(V0) | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 #106: exists( #9, #103 ), references = 1, size of lhs = 0:
% 0.18/0.55 FALSE | FALSE
% 0.18/0.55 (used 0 times, uses = {})
% 0.18/0.55
% 0.18/0.55 number of learnt formulas = 14
% 0.18/0.55
% 0.18/0.55
% 0.18/0.55 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55
% 0.18/0.55 randbase = 1
%------------------------------------------------------------------------------