%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 02:12:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 GeoParameters:
% 0.19/0.48
% 0.19/0.48 tptp_input = 1
% 0.19/0.48 tptp_output = 0
% 0.19/0.48 nonempty = 1
% 0.19/0.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 RuleSystem INPUT:
% 0.19/0.48
% 0.19/0.48 Initial Rules:
% 0.19/0.48 #0: input, references = 5, size of lhs = 1:
% 0.19/0.48 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #1: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #2: input, references = 5, size of lhs = 2:
% 0.19/0.48 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #3: input, references = 6, size of lhs = 2:
% 0.19/0.48 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp10-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #4: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp10-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #5: input, references = 3, size of lhs = 2:
% 0.19/0.48 pppp4-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #6: input, references = 6, size of lhs = 1:
% 0.19/0.48 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #7: input, references = 3, size of lhs = 1:
% 0.19/0.48 intersect-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #8: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp1-{F}(V0,V1) | intersect-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #9: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp1-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #10: input, references = 4, size of lhs = 2:
% 0.19/0.48 member-{F}(V2,V0), member-{F}(V2,V1) | pppp1-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #11: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #12: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #13: input, references = 5, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #14: input, references = 5, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), disjoint-{F}(V1,V2), intersect-{F}(V1,V2) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #15: input, references = 4, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), intersect-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #16: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V2 | pppp2-{T}(V2,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #17: input, references = 4, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V2 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #18: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #19: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #20: input, references = 4, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp2-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #21: input, references = 4, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), intersect-{F}(V1,V2) | intersect-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #22: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #23: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #24: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #25: input, references = 4, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #26: input, references = 5, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp11-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #27: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp11-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #28: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp6-{F}(V0,V1) | member-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #29: input, references = 4, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #30: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #31: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp9-{F}(V1,V1) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #32: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #33: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp8-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #34: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp7-{F}(V0,V1,V2) | disjoint-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #35: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp7-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #36: input, references = 4, size of lhs = 0:
% 0.19/0.48 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 number of initial rules = 37
% 0.19/0.48
% 0.19/0.48 Simplifiers:
% 0.19/0.48 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 number of simplifiers = 9
% 0.19/0.48
% 0.19/0.48 Learnt:
% 0.19/0.48 #50: mergings( V2 == V3; #48 ), references = 1, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), subset-{F}(V1,V2), V2 == V1 | pppp10-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #55: mergings( V0 == V3, V3 == V4; #52 ), references = 2, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #60: exists( #4, #56 ), references = 1, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), pppp10-{F}(V0,V1) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #61: exists( #4, #57 ), references = 1, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp10-{F}(V1,V2) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #67: mergings( V2 == V3, V3 == V1; #64 ), references = 2, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V1, V0 == V1 | pppp10-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #71: mergings( V0 == V2; #68 ), references = 1, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), pppp10-{F}(V1,V2) | pppp11-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #73: mergings( V0 == V2; #69 ), references = 1, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp11-{T}(V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #77: disj( #3, exists( #4, #56 ) ), references = 1, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #81: exists( #27, #78 ), references = 1, size of lhs = 2:
% 0.19/0.48 pppp11-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #84: mergings( V0 == V1; #82 ), references = 1, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #101: mergings( V3 == V4; #99 ), references = 2, size of lhs = 4:
% 0.19/0.48 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp8-{F}(V2,V3), member-{F}(V1,V3) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #106: exists( #30, #104 ), references = 1, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp9-{F}(V2,V3) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #109: exists( #4, #107 ), references = 1, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), pppp10-{F}(V1,V2), pppp9-{F}(V1,V3) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #114: mergings( V0 == V2, V2 == V3; #111 ), references = 1, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | pppp9-{T}(V0,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #117: exists( #36, #115 ), references = 1, size of lhs = 0:
% 0.19/0.48 FALSE | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 number of learnt formulas = 15
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 randbase = 1
%------------------------------------------------------------------------------