TSTP Solution File: SET591+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:16:23 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n026.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 02:21:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 GeoParameters:
% 0.19/0.45
% 0.19/0.45 tptp_input = 1
% 0.19/0.45 tptp_output = 0
% 0.19/0.45 nonempty = 1
% 0.19/0.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 RuleSystem INPUT:
% 0.19/0.45
% 0.19/0.45 Initial Rules:
% 0.19/0.45 #0: input, references = 4, size of lhs = 1:
% 0.19/0.45 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #1: input, references = 7, size of lhs = 1:
% 0.19/0.45 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #2: input, references = 4, size of lhs = 2:
% 0.19/0.45 pppp0-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #3: input, references = 7, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #4: input, references = 6, size of lhs = 1:
% 0.19/0.45 pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #5: input, references = 5, size of lhs = 2:
% 0.19/0.45 pppp4-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #6: input, references = 8, size of lhs = 1:
% 0.19/0.45 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #7: input, references = 7, size of lhs = 2:
% 0.19/0.45 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp1-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #8: input, references = 6, size of lhs = 2:
% 0.19/0.45 P_difference-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #9: input, references = 6, size of lhs = 1:
% 0.19/0.45 pppp1-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #10: input, references = 6, size of lhs = 2:
% 0.19/0.45 pppp1-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #11: input, references = 5, size of lhs = 2:
% 0.19/0.45 #-{F} V1, member-{F}(V2,V0) | pppp1-{T}(V0,V1,V2), member-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #12: input, references = 6, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #13: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V2 | pppp2-{T}(V2,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #14: input, references = 4, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V2 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #15: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #16: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #17: input, references = 4, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp2-{T}(V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #18: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #19: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #20: input, references = 3, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #21: input, references = 3, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #22: input, references = 4, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp9-{T}(V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #23: input, references = 3, size of lhs = 1:
% 0.19/0.45 pppp9-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #24: input, references = 3, size of lhs = 1:
% 0.19/0.45 pppp5-{F}(V0,V1) | member-{T}(V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #25: input, references = 4, size of lhs = 1:
% 0.19/0.45 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #26: input, references = 4, size of lhs = 1:
% 0.19/0.45 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #27: input, references = 4, size of lhs = 1:
% 0.19/0.45 pppp7-{F}(V1,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #28: input, references = 4, size of lhs = 2:
% 0.19/0.45 pppp6-{F}(V0,V1), P_difference-{F}(V1,V0,V2) | subset-{T}(V0,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #29: input, references = 5, size of lhs = 2:
% 0.19/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #30: input, references = 4, size of lhs = 0:
% 0.19/0.45 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 number of initial rules = 31
% 0.19/0.45
% 0.19/0.45 Simplifiers:
% 0.19/0.45 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.45 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 number of simplifiers = 7
% 0.19/0.45
% 0.19/0.45 Learnt:
% 0.19/0.45 #42: mergings( V2 == V3; #40 ), references = 3, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), subset-{F}(V1,V2), V2 == V1 | pppp8-{T}(V2,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #45: exists( #4, #43 ), references = 1, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), pppp8-{F}(V0,V1) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #51: mergings( V2 == V3, V3 == V1; #48 ), references = 3, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V1, V0 == V1 | pppp8-{T}(V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #53: disj( #3, exists( #4, #43 ) ), references = 2, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #60: disj( #11, #8+#10 ), references = 1, size of lhs = 2:
% 0.19/0.45 member-{F}(V0,V1), P_difference-{F}(V1,V2,V2) | member-{T}(V0,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #61: disj( #11, #8+#5 ), references = 1, size of lhs = 3:
% 0.19/0.45 member-{F}(V0,V1), P_difference-{F}(V1,V2,V3), pppp4-{F}(V4,V3,V0) | member-{T}(V0,V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #62: disj( #11, #8+#12 ), references = 1, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), member-{F}(V1,V2), P_difference-{F}(V2,V3,V0) | member-{T}(V1,V3)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #84: exists( #4, #79 ), references = 2, size of lhs = 2:
% 0.19/0.45 P_difference-{F}(V0,V0,V1), pppp8-{F}(V1,V2) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #85: exists( #4, #78 ), references = 3, size of lhs = 2:
% 0.19/0.45 pppp8-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #86: exists( #4, #80 ), references = 1, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), P_difference-{F}(V0,V1,V2), pppp8-{F}(V2,V3) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #93: exists( #29, #87 ), references = 1, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V1,V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #94: exists( #29, #88 ), references = 1, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V0,V1,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #98: mergings( V0 == V2; #96 ), references = 1, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp9-{T}(V2)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #108: disj( #3, #1+#42+#85 ), references = 1, size of lhs = 3:
% 0.19/0.45 P_empty_set-{F}(V0), P_difference-{F}(V1,V2,V3), V3 == V1 | pppp8-{T}(V1,V3)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #111: disj( #11, input ), references = 1, size of lhs = 2:
% 0.19/0.45 member-{F}(V0,V1), pppp4-{F}(V2,V3,V0) | pppp1-{T}(V1,V3,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #112: disj( #11, input ), references = 1, size of lhs = 2:
% 0.19/0.45 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp1-{T}(V2,V0,V1)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #131: exists( #29, #129 ), references = 1, size of lhs = 2:
% 0.19/0.45 member-{F}(V0,V1), pppp6-{F}(V1,V2) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #133: exists( #26, #130 ), references = 1, size of lhs = 2:
% 0.19/0.45 member-{F}(V0,V1), pppp7-{F}(V1,V2) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #136: exists( #4, #134 ), references = 1, size of lhs = 2:
% 0.19/0.45 pppp8-{F}(V0,V1), pppp7-{F}(V0,V2) | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #143: mergings( V0 == V2, V2 == V3; #140 ), references = 1, size of lhs = 1:
% 0.19/0.45 P_empty_set-{F}(V0) | pppp7-{T}(V0,V0)
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 #146: exists( #30, #144 ), references = 1, size of lhs = 0:
% 0.19/0.45 FALSE | FALSE
% 0.19/0.45 (used 0 times, uses = {})
% 0.19/0.45
% 0.19/0.45 number of learnt formulas = 21
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 randbase = 1
%------------------------------------------------------------------------------