TSTP Solution File: SET628+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET628+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n017.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 02:03:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.38 GeoParameters:
% 0.19/0.38
% 0.19/0.38 tptp_input = 1
% 0.19/0.38 tptp_output = 0
% 0.19/0.38 nonempty = 1
% 0.19/0.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38
% 0.19/0.38 RuleSystem INPUT:
% 0.19/0.38
% 0.19/0.38 Initial Rules:
% 0.19/0.38 #0: input, references = 5, size of lhs = 1:
% 0.19/0.38 intersect-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #1: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp0-{F}(V0,V1) | intersect-{T}(V0,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #2: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp0-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #3: input, references = 4, size of lhs = 2:
% 0.19/0.38 member-{F}(V2,V0), member-{F}(V2,V1) | pppp0-{T}(V0,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #4: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #5: input, references = 3, size of lhs = 1:
% 0.19/0.38 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #6: input, references = 5, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #7: input, references = 3, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #8: input, references = 3, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #9: input, references = 3, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #10: input, references = 3, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #11: input, references = 4, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp7-{T}(V1,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #12: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp7-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #13: input, references = 3, size of lhs = 3:
% 0.19/0.38 pppp4-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #14: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #15: input, references = 3, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), not_equal-{F}(V2,V2) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #16: input, references = 4, size of lhs = 4:
% 0.19/0.38 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | not_equal-{T}(V1,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #17: input, references = 3, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), intersect-{F}(V1,V2) | intersect-{T}(V2,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #18: input, references = 3, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #19: input, references = 3, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), pppp2-{F}(V1) | empty-{T}(V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #20: input, references = 4, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), pppp2-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #21: input, references = 5, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), #-{F} V1 | pppp2-{T}(V1), pppp8-{T}(V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #22: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp8-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #23: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp5-{F}(V0,V1) | member-{T}(V1,V0)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #24: input, references = 4, size of lhs = 1:
% 0.19/0.38 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #25: input, references = 4, size of lhs = 3:
% 0.19/0.38 pppp6-{F}(V0,V1), not_equal-{F}(V0,V1), intersect-{F}(V0,V0) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #26: input, references = 4, size of lhs = 1:
% 0.19/0.38 pppp6-{F}(V0,V1) | intersect-{T}(V0,V0), not_equal-{T}(V0,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #27: input, references = 4, size of lhs = 0:
% 0.19/0.38 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 number of initial rules = 28
% 0.19/0.38
% 0.19/0.38 Simplifiers:
% 0.19/0.38 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.38 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.38 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.38 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.38 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.38 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 number of simplifiers = 6
% 0.19/0.38
% 0.19/0.38 Learnt:
% 0.19/0.38 #36: mergings( V0 == V3; #34 ), references = 2, size of lhs = 4:
% 0.19/0.38 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp7-{T}(V1,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #39: disj( #14, input ), references = 1, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), pppp4-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #40: disj( #14, input ), references = 3, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), pppp2-{F}(V1), pppp4-{F}(V1,V2,V3) | member-{T}(V3,V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #42: disj( #26, input ), references = 3, size of lhs = 2:
% 0.19/0.38 pppp6-{F}(V0,V0), P_empty_set-{F}(V1) | intersect-{T}(V0,V0)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #46: exists( #2, #43 ), references = 3, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), pppp0-{F}(V1,V0) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #51: mergings( V0 == V2; #49 ), references = 1, size of lhs = 2:
% 0.19/0.38 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp8-{T}(V2)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #57: exists( #22, #55 ), references = 1, size of lhs = 3:
% 0.19/0.38 pppp8-{F}(V0), pppp6-{F}(V0,V1), not_equal-{F}(V0,V1) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #59: disj( #21, exists( #22, #55 ) ), references = 1, size of lhs = 3:
% 0.19/0.38 P_empty_set-{F}(V0), pppp6-{F}(V1,V2), not_equal-{F}(V1,V2) | pppp2-{T}(V1)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #65: mergings( V3 == V1; #62 ), references = 1, size of lhs = 3:
% 0.19/0.38 pppp2-{F}(V0), pppp7-{F}(V0,V1), P_empty_set-{F}(V1) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #67: mergings( V3 == V4; #63 ), references = 1, size of lhs = 4:
% 0.19/0.38 pppp2-{F}(V0), pppp7-{F}(V0,V1), pppp2-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #77: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #71 ), references = 1, size of lhs = 1:
% 0.19/0.38 P_empty_set-{F}(V0) | pppp6-{T}(V0,V0)
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 #91: exists( #27, #89 ), references = 1, size of lhs = 0:
% 0.19/0.38 FALSE | FALSE
% 0.19/0.38 (used 0 times, uses = {})
% 0.19/0.38
% 0.19/0.38 number of learnt formulas = 12
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38
% 0.19/0.38 randbase = 1
%------------------------------------------------------------------------------