TSTP Solution File: SET578+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:16:21 EDT 2022
% Result : Theorem 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET578+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 : n021.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 01:47:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/0.88 GeoParameters:
% 0.71/0.88
% 0.71/0.88 tptp_input = 1
% 0.71/0.88 tptp_output = 0
% 0.71/0.88 nonempty = 1
% 0.71/0.88 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.71/0.88
% 0.71/0.88
% 0.71/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88
% 0.71/0.88 RuleSystem INPUT:
% 0.71/0.88
% 0.71/0.88 Initial Rules:
% 0.71/0.88 #0: input, references = 7, size of lhs = 2:
% 0.71/0.88 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #1: input, references = 6, size of lhs = 2:
% 0.71/0.88 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #2: input, references = 5, size of lhs = 1:
% 0.71/0.88 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #3: input, references = 5, size of lhs = 1:
% 0.71/0.88 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #4: input, references = 6, size of lhs = 2:
% 0.71/0.88 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #5: input, references = 3, size of lhs = 1:
% 0.71/0.88 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #6: input, references = 3, size of lhs = 2:
% 0.71/0.88 pppp1-{F}(V0,V1), V0 == V1 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #7: input, references = 3, size of lhs = 1:
% 0.71/0.88 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #8: input, references = 3, size of lhs = 1:
% 0.71/0.88 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #9: input, references = 3, size of lhs = 2:
% 0.71/0.88 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #10: input, references = 4, size of lhs = 3:
% 0.71/0.88 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #11: input, references = 3, size of lhs = 1:
% 0.71/0.88 subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #12: input, references = 3, size of lhs = 1:
% 0.71/0.88 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #13: input, references = 9, size of lhs = 2:
% 0.71/0.88 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #14: input, references = 11, size of lhs = 2:
% 0.71/0.88 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp10-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #15: input, references = 6, size of lhs = 1:
% 0.71/0.88 pppp10-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #16: input, references = 6, size of lhs = 2:
% 0.71/0.88 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #17: input, references = 6, size of lhs = 1:
% 0.71/0.88 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #18: input, references = 3, size of lhs = 1:
% 0.71/0.88 #-{F} V0 | subset-{T}(V0,V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #19: input, references = 3, size of lhs = 1:
% 0.71/0.88 #-{F} V1 | pppp3-{T}(V1,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #20: input, references = 3, size of lhs = 2:
% 0.71/0.88 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #21: input, references = 3, size of lhs = 2:
% 0.71/0.88 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #22: input, references = 3, size of lhs = 2:
% 0.71/0.88 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #23: input, references = 4, size of lhs = 2:
% 0.71/0.88 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp11-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #24: input, references = 5, size of lhs = 1:
% 0.71/0.88 pppp11-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #25: input, references = 13, size of lhs = 3:
% 0.71/0.88 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #26: input, references = 8, size of lhs = 1:
% 0.71/0.88 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #27: input, references = 4, size of lhs = 0:
% 0.71/0.88 FALSE | EXISTS V0: pppp9-{T}(V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #28: input, references = 4, size of lhs = 1:
% 0.71/0.88 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #29: input, references = 5, size of lhs = 1:
% 0.71/0.88 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #30: input, references = 4, size of lhs = 2:
% 0.71/0.88 pppp7-{F}(V0,V3,V2), P_intersection-{F}(V2,V0,V3) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #31: input, references = 6, size of lhs = 3:
% 0.71/0.88 pppp7-{F}(V0,V1,V2), P_intersection-{F}(V2,V0,V3), pppp4-{F}(V0,V2,V4) | member-{T}(V4,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #32: input, references = 8, size of lhs = 3:
% 0.71/0.88 pppp7-{F}(V0,V1,V2), P_intersection-{F}(V2,V0,V3), member-{F}(V4,V1) | pppp4-{T}(V0,V2,V4)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #33: input, references = 5, size of lhs = 1:
% 0.71/0.88 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #34: input, references = 6, size of lhs = 1:
% 0.71/0.88 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #35: input, references = 6, size of lhs = 2:
% 0.71/0.88 member-{F}(V2,V1), member-{F}(V2,V0) | pppp4-{T}(V0,V1,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #36: input, references = 8, size of lhs = 2:
% 0.71/0.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 number of initial rules = 37
% 0.71/0.88
% 0.71/0.88 Simplifiers:
% 0.71/0.88 #37: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #38: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #39: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #40: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #41: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #42: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #43: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #44: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #45: unsound, references = 3, size of lhs = 3:
% 0.71/0.88 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 number of simplifiers = 9
% 0.71/0.88
% 0.71/0.88 Learnt:
% 0.71/0.88 #47: disj( #23, input ), references = 3, size of lhs = 3:
% 0.71/0.88 #-{F} V0, #-{F} V1, V0 == V1 | pppp11-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #50: disj( #26, #13+#25 ), references = 1, size of lhs = 3:
% 0.71/0.88 pppp2-{F}(V0,V1), pppp6-{F}(V2,V1,V0), pppp6-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #55: disj( #14, #49+#0+#3+#25 ), references = 1, size of lhs = 4:
% 0.71/0.88 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), pppp6-{F}(V0,V3,V4), P_intersection-{F}(V5,V4,V3) | pppp10-{T}(V2,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #59: disj( #26, #4+#1+#25 ), references = 1, size of lhs = 3:
% 0.71/0.88 P_intersection-{F}(V0,V0,V1), pppp6-{F}(V2,V1,V0), pppp6-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #69: exists( #15, #67 ), references = 1, size of lhs = 2:
% 0.71/0.88 pppp10-{F}(V0,V1), P_intersection-{F}(V2,V1,V0) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #71: exists( #36, #10 ), references = 5, size of lhs = 1:
% 0.71/0.88 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #74: disj( #26, #13+#25 ), references = 5, size of lhs = 3:
% 0.71/0.88 pppp2-{F}(V0,V1), pppp6-{F}(V2,V0,V1), pppp6-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #76: disj( #14, exists( #15, #67 ) ), references = 3, size of lhs = 1:
% 0.71/0.88 P_intersection-{F}(V0,V1,V2) | pppp2-{T}(V2,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #85: exists( #24, #83 ), references = 2, size of lhs = 4:
% 0.71/0.88 pppp11-{F}(V0,V1), pppp2-{F}(V0,V1), pppp2-{F}(V1,V2), P_intersection-{F}(V1,V2,V0) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #87: disj( #14, exists( #24, #83 ) ), references = 1, size of lhs = 3:
% 0.71/0.88 pppp11-{F}(V0,V1), pppp2-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | pppp10-{T}(V1,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #105: exists( #36, #103 ), references = 4, size of lhs = 1:
% 0.71/0.88 pppp2-{F}(V0,V1) | P_intersection-{T}(V1,V0,V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #111: exists( #36, #109 ), references = 1, size of lhs = 4:
% 0.71/0.88 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V4,V1,V3) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #113: exists( #29, #110 ), references = 2, size of lhs = 4:
% 0.71/0.88 member-{F}(V0,V1), pppp8-{F}(V1,V2), member-{F}(V0,V3), pppp6-{F}(V0,V2,V3) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #116: disj( #14, #74+#112 ), references = 1, size of lhs = 4:
% 0.71/0.88 pppp8-{F}(V0,V1), pppp6-{F}(V2,V1,V0), pppp6-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4) | pppp10-{T}(V3,V4)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #121: disj( #14, #74+#32+#34+#25 ), references = 1, size of lhs = 5:
% 0.71/0.88 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), pppp6-{F}(V0,V4,V3), pppp7-{F}(V4,V3,V5), P_intersection-{F}(V5,V4,V6) | pppp10-{T}(V1,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #127: disj( #26, #32+#34+#25 ), references = 1, size of lhs = 4:
% 0.71/0.88 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V3,V2,V4), P_intersection-{F}(V4,V3,V5) | member-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #135: disj( #26, input ), references = 1, size of lhs = 2:
% 0.71/0.88 pppp6-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2) | member-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #146: exists( #15, #144 ), references = 1, size of lhs = 3:
% 0.71/0.88 pppp10-{F}(V0,V1), pppp7-{F}(V1,V0,V2), P_intersection-{F}(V2,V1,V3) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #148: exists( #36, #145 ), references = 1, size of lhs = 2:
% 0.71/0.88 pppp10-{F}(V0,V1), pppp7-{F}(V1,V0,V2) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #150: disj( #14, exists( #36, #145 ) ), references = 1, size of lhs = 1:
% 0.71/0.88 pppp7-{F}(V0,V1,V2) | pppp2-{T}(V1,V0)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #169: disj( #14, #105+#13+#71+#35+#31+#25 ), references = 1, size of lhs = 4:
% 0.71/0.88 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V2,V3), pppp7-{F}(V4,V3,V1) | pppp10-{T}(V1,V4)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #171: disj( #14, #105+#13+#71+#35+#31+#113 ), references = 1, size of lhs = 4:
% 0.71/0.88 member-{F}(V0,V1), pppp7-{F}(V2,V3,V1), pppp8-{F}(V3,V4), pppp6-{F}(V0,V4,V3) | pppp10-{T}(V1,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #189: exists( #24, #187 ), references = 1, size of lhs = 6:
% 0.71/0.88 pppp11-{F}(V0,V1), pppp2-{F}(V0,V1), P_intersection-{F}(V2,V3,V1), P_intersection-{F}(V2,V4,V0), pppp7-{F}(V5,V1,V4), P_intersection-{F}(V4,V5,V6) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #191: disj( #14, exists( #24, #187 ) ), references = 1, size of lhs = 5:
% 0.71/0.88 pppp11-{F}(V0,V1), P_intersection-{F}(V2,V3,V1), P_intersection-{F}(V2,V4,V0), pppp7-{F}(V5,V1,V4), P_intersection-{F}(V4,V5,V6) | pppp10-{T}(V0,V1)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #217: exists( #15, #215 ), references = 1, size of lhs = 5:
% 0.71/0.88 pppp10-{F}(V0,V1), pppp2-{F}(V0,V2), pppp7-{F}(V2,V1,V3), P_intersection-{F}(V3,V4,V0), P_intersection-{F}(V3,V2,V5) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #223: exists( #36, #221 ), references = 1, size of lhs = 2:
% 0.71/0.88 P_intersection-{F}(V0,V1,V2), pppp7-{F}(V0,V2,V3) | P_intersection-{T}(V3,V0,V2)
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #228: exists( #29, #226 ), references = 1, size of lhs = 1:
% 0.71/0.88 pppp8-{F}(V0,V1) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #230: exists( #28, #227 ), references = 1, size of lhs = 1:
% 0.71/0.88 pppp9-{F}(V0) | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 #232: exists( #27, #229 ), references = 1, size of lhs = 0:
% 0.71/0.88 FALSE | FALSE
% 0.71/0.88 (used 0 times, uses = {})
% 0.71/0.88
% 0.71/0.88 number of learnt formulas = 29
% 0.71/0.88
% 0.71/0.88
% 0.71/0.88 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88
% 0.71/0.88 randbase = 1
%------------------------------------------------------------------------------