TSTP Solution File: SET199+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:15:59 EDT 2022
% Result : Theorem 5.20s 5.40s
% Output : Refutation 5.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 01:44:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.20/5.40 GeoParameters:
% 5.20/5.40
% 5.20/5.40 tptp_input = 1
% 5.20/5.40 tptp_output = 0
% 5.20/5.40 nonempty = 1
% 5.20/5.40 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.20/5.40 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.20/5.40
% 5.20/5.40
% 5.20/5.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.20/5.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.20/5.40
% 5.20/5.40 RuleSystem INPUT:
% 5.20/5.40
% 5.20/5.40 Initial Rules:
% 5.20/5.40 #0: input, references = 7, size of lhs = 2:
% 5.20/5.40 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #1: input, references = 8, size of lhs = 2:
% 5.20/5.40 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #2: input, references = 4, size of lhs = 1:
% 5.20/5.40 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #3: input, references = 6, size of lhs = 1:
% 5.20/5.40 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #4: input, references = 8, size of lhs = 2:
% 5.20/5.40 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #5: input, references = 7, size of lhs = 1:
% 5.20/5.40 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #6: input, references = 4, size of lhs = 1:
% 5.20/5.40 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #7: input, references = 8, size of lhs = 2:
% 5.20/5.40 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #8: input, references = 12, size of lhs = 2:
% 5.20/5.40 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #9: input, references = 5, size of lhs = 1:
% 5.20/5.40 pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #10: input, references = 8, size of lhs = 2:
% 5.20/5.40 pppp3-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #11: input, references = 5, size of lhs = 1:
% 5.20/5.40 pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #12: input, references = 5, size of lhs = 3:
% 5.20/5.40 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #13: input, references = 3, size of lhs = 1:
% 5.20/5.40 #-{F} V0 | subset-{T}(V0,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #14: input, references = 3, size of lhs = 1:
% 5.20/5.40 #-{F} V1 | pppp2-{T}(V1,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #15: input, references = 3, size of lhs = 2:
% 5.20/5.40 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #16: input, references = 3, size of lhs = 2:
% 5.20/5.40 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #17: input, references = 3, size of lhs = 2:
% 5.20/5.40 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #18: input, references = 4, size of lhs = 2:
% 5.20/5.40 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #19: input, references = 5, size of lhs = 1:
% 5.20/5.40 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #20: input, references = 10, size of lhs = 3:
% 5.20/5.40 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #21: input, references = 7, size of lhs = 1:
% 5.20/5.40 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #22: input, references = 4, size of lhs = 0:
% 5.20/5.40 FALSE | EXISTS V0: pppp7-{T}(V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #23: input, references = 4, size of lhs = 1:
% 5.20/5.40 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #24: input, references = 5, size of lhs = 1:
% 5.20/5.40 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #25: input, references = 4, size of lhs = 1:
% 5.20/5.40 pppp6-{F}(V0,V1) | subset-{T}(V1,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #26: input, references = 7, size of lhs = 3:
% 5.20/5.40 pppp5-{F}(V0,V1,V2), P_intersection-{F}(V2,V0,V3), subset-{F}(V1,V3) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #27: input, references = 7, size of lhs = 2:
% 5.20/5.40 pppp5-{F}(V0,V1,V2), P_intersection-{F}(V2,V0,V3) | subset-{T}(V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #28: input, references = 9, size of lhs = 2:
% 5.20/5.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 number of initial rules = 29
% 5.20/5.40
% 5.20/5.40 Simplifiers:
% 5.20/5.40 #29: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #30: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #31: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #32: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #33: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V0 == V3 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #34: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #35: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #36: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #37: unsound, references = 3, size of lhs = 3:
% 5.20/5.40 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 number of simplifiers = 9
% 5.20/5.40
% 5.20/5.40 Learnt:
% 5.20/5.40 #39: disj( #18, input ), references = 3, size of lhs = 3:
% 5.20/5.40 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #42: disj( #21, #7+#20 ), references = 2, size of lhs = 3:
% 5.20/5.40 pppp1-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #47: disj( #8, #41+#0+#3+#20 ), references = 1, size of lhs = 4:
% 5.20/5.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V3,V4), P_intersection-{F}(V5,V4,V3) | pppp8-{T}(V2,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #51: disj( #21, #4+#1+#20 ), references = 1, size of lhs = 3:
% 5.20/5.40 P_intersection-{F}(V0,V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #60: exists( #9, #58 ), references = 1, size of lhs = 2:
% 5.20/5.40 pppp8-{F}(V0,V1), P_intersection-{F}(V2,V1,V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #62: exists( #28, #12 ), references = 7, size of lhs = 1:
% 5.20/5.40 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #65: disj( #21, #7+#20 ), references = 4, size of lhs = 3:
% 5.20/5.40 pppp1-{F}(V0,V1), pppp4-{F}(V2,V0,V1), pppp4-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #67: disj( #8, exists( #9, #58 ) ), references = 4, size of lhs = 1:
% 5.20/5.40 P_intersection-{F}(V0,V1,V2) | pppp1-{T}(V2,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #75: exists( #19, #73 ), references = 1, size of lhs = 3:
% 5.20/5.40 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V1,V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #85: exists( #19, #83 ), references = 3, size of lhs = 4:
% 5.20/5.40 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), P_intersection-{F}(V1,V2,V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #87: disj( #8, exists( #19, #83 ) ), references = 1, size of lhs = 3:
% 5.20/5.40 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | pppp8-{T}(V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #101: exists( #28, #99 ), references = 6, size of lhs = 1:
% 5.20/5.40 pppp1-{F}(V0,V1) | P_intersection-{T}(V1,V0,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #104: disj( #8, #7+#20 ), references = 1, size of lhs = 3:
% 5.20/5.40 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V3,V2) | pppp8-{T}(V1,V3)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #108: disj( #8, #101+#26 ), references = 1, size of lhs = 2:
% 5.20/5.40 subset-{F}(V0,V1), pppp5-{F}(V1,V0,V2) | pppp8-{T}(V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #126: mergings( V3 == V4, V4 == V0; #123 ), references = 1, size of lhs = 2:
% 5.20/5.40 subset-{F}(V0,V0), pppp5-{F}(V0,V0,V1) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #127: exists( #28, #120 ), references = 1, size of lhs = 1:
% 5.20/5.40 pppp5-{F}(V0,V0,V1) | P_intersection-{T}(V0,V1,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #129: exists( #24, #123 ), references = 1, size of lhs = 2:
% 5.20/5.40 pppp6-{F}(V0,V0), subset-{F}(V0,V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #134: disj( #8, #101+#62+#27+#26 ), references = 1, size of lhs = 1:
% 5.20/5.40 pppp5-{F}(V0,V1,V2) | pppp8-{T}(V2,V0)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #138: exists( #28, #136 ), references = 2, size of lhs = 4:
% 5.20/5.40 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0), pppp5-{F}(V3,V1,V2) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #147: exists( #28, #145 ), references = 1, size of lhs = 1:
% 5.20/5.40 pppp5-{F}(V0,V1,V2) | P_intersection-{T}(V1,V2,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #196: disj( #8, #65+#10 ), references = 1, size of lhs = 3:
% 5.20/5.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3), pppp3-{F}(V0,V4,V3) | pppp8-{T}(V1,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #236: disj( #21, #4+#1+#10 ), references = 1, size of lhs = 4:
% 5.20/5.40 member-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_intersection-{F}(V1,V3,V4), pppp3-{F}(V0,V5,V4) | member-{T}(V0,V2)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #252: disj( #8, #42+#0+#3+#10 ), references = 1, size of lhs = 4:
% 5.20/5.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp3-{F}(V0,V4,V5), P_intersection-{F}(V6,V5,V3) | pppp8-{T}(V2,V1)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #279: exists( #9, #277 ), references = 1, size of lhs = 4:
% 5.20/5.40 pppp8-{F}(V0,V1), pppp1-{F}(V0,V2), P_intersection-{F}(V3,V2,V1), P_intersection-{F}(V3,V4,V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #281: disj( #8, exists( #9, #277 ) ), references = 1, size of lhs = 3:
% 5.20/5.40 pppp1-{F}(V0,V1), P_intersection-{F}(V2,V1,V3), P_intersection-{F}(V2,V4,V0) | pppp1-{T}(V0,V3)
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #286: exists( #28, #284 ), references = 1, size of lhs = 3:
% 5.20/5.40 pppp1-{F}(V0,V1), pppp5-{F}(V2,V0,V1), P_intersection-{F}(V2,V3,V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #290: exists( #24, #288 ), references = 1, size of lhs = 2:
% 5.20/5.40 pppp6-{F}(V0,V1), P_intersection-{F}(V0,V2,V1) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #295: exists( #23, #293 ), references = 1, size of lhs = 1:
% 5.20/5.40 pppp7-{F}(V0) | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 #297: exists( #22, #294 ), references = 1, size of lhs = 0:
% 5.20/5.40 FALSE | FALSE
% 5.20/5.40 (used 0 times, uses = {})
% 5.20/5.40
% 5.20/5.40 number of learnt formulas = 29
% 5.20/5.40
% 5.20/5.40
% 5.20/5.40 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.20/5.40
% 5.20/5.40 randbase = 1
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