TSTP Solution File: SET586+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 2.55s 2.73s
% Output : Refutation 2.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n012.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 02:50:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.55/2.73 GeoParameters:
% 2.55/2.73
% 2.55/2.73 tptp_input = 1
% 2.55/2.73 tptp_output = 0
% 2.55/2.73 nonempty = 1
% 2.55/2.73 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/2.73 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.55/2.73
% 2.55/2.73
% 2.55/2.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/2.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/2.73
% 2.55/2.73 RuleSystem INPUT:
% 2.55/2.73
% 2.55/2.73 Initial Rules:
% 2.55/2.73 #0: input, references = 9, size of lhs = 2:
% 2.55/2.73 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #1: input, references = 9, size of lhs = 2:
% 2.55/2.73 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #2: input, references = 7, size of lhs = 1:
% 2.55/2.73 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #3: input, references = 5, size of lhs = 1:
% 2.55/2.73 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #4: input, references = 9, size of lhs = 2:
% 2.55/2.73 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #5: input, references = 4, size of lhs = 1:
% 2.55/2.73 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #6: input, references = 5, size of lhs = 1:
% 2.55/2.73 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #7: input, references = 7, size of lhs = 2:
% 2.55/2.73 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #8: input, references = 13, size of lhs = 2:
% 2.55/2.73 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #9: input, references = 6, size of lhs = 1:
% 2.55/2.73 pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #10: input, references = 7, size of lhs = 2:
% 2.55/2.73 pppp3-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #11: input, references = 6, size of lhs = 1:
% 2.55/2.73 pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #12: input, references = 4, size of lhs = 3:
% 2.55/2.73 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #13: input, references = 4, size of lhs = 1:
% 2.55/2.73 #-{F} V0 | subset-{T}(V0,V0)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #14: input, references = 3, size of lhs = 1:
% 2.55/2.73 #-{F} V1 | pppp2-{T}(V1,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #15: input, references = 3, size of lhs = 2:
% 2.55/2.73 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #16: input, references = 3, size of lhs = 2:
% 2.55/2.73 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #17: input, references = 3, size of lhs = 2:
% 2.55/2.73 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #18: input, references = 4, size of lhs = 2:
% 2.55/2.73 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #19: input, references = 6, size of lhs = 1:
% 2.55/2.73 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #20: input, references = 13, size of lhs = 3:
% 2.55/2.73 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #21: input, references = 9, size of lhs = 1:
% 2.55/2.73 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #22: input, references = 4, size of lhs = 0:
% 2.55/2.73 FALSE | EXISTS V0: pppp7-{T}(V0)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #23: input, references = 4, size of lhs = 1:
% 2.55/2.73 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #24: input, references = 5, size of lhs = 1:
% 2.55/2.73 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #25: input, references = 4, size of lhs = 1:
% 2.55/2.73 pppp6-{F}(V0,V1) | subset-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #26: input, references = 6, size of lhs = 4:
% 2.55/2.73 pppp5-{F}(V0,V1,V2), P_intersection-{F}(V0,V2,V3), P_intersection-{F}(V1,V2,V4), subset-{F}(V3,V4) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #27: input, references = 11, size of lhs = 2:
% 2.55/2.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 number of initial rules = 28
% 2.55/2.73
% 2.55/2.73 Simplifiers:
% 2.55/2.73 #28: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #29: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #30: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #31: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #32: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V1 == V4 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #33: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #34: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #35: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #36: unsound, references = 3, size of lhs = 3:
% 2.55/2.73 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 number of simplifiers = 9
% 2.55/2.73
% 2.55/2.73 Learnt:
% 2.55/2.73 #38: disj( #18, input ), references = 4, size of lhs = 3:
% 2.55/2.73 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #41: disj( #21, #7+#20 ), references = 5, size of lhs = 3:
% 2.55/2.73 pppp1-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #46: disj( #8, #40+#0+#3+#20 ), references = 1, size of lhs = 4:
% 2.55/2.73 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)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #50: disj( #21, #4+#1+#20 ), references = 2, size of lhs = 3:
% 2.55/2.73 P_intersection-{F}(V0,V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #58: exists( #9, #56 ), references = 1, size of lhs = 2:
% 2.55/2.73 pppp8-{F}(V0,V1), P_intersection-{F}(V2,V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #60: exists( #27, #12 ), references = 7, size of lhs = 1:
% 2.55/2.73 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #65: exists( #19, #63 ), references = 2, size of lhs = 3:
% 2.55/2.73 P_intersection-{F}(V0,V0,V1), pppp9-{F}(V1,V0), P_intersection-{F}(V0,V2,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #68: disj( #21, #7+#20 ), references = 4, size of lhs = 3:
% 2.55/2.73 pppp1-{F}(V0,V1), pppp4-{F}(V2,V0,V1), pppp4-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #72: disj( #8, #68+#20 ), references = 1, size of lhs = 4:
% 2.55/2.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V3,V4) | pppp8-{T}(V3,V4)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #75: disj( #8, exists( #9, #56 ) ), references = 5, size of lhs = 1:
% 2.55/2.73 P_intersection-{F}(V0,V1,V2) | pppp1-{T}(V2,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #80: exists( #27, #78 ), references = 1, size of lhs = 1:
% 2.55/2.73 pppp5-{F}(V0,V0,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #82: exists( #24, #79 ), references = 1, size of lhs = 1:
% 2.55/2.73 pppp6-{F}(V0,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #85: disj( #8, #41+#20 ), references = 1, size of lhs = 4:
% 2.55/2.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3) | pppp8-{T}(V3,V4)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #90: exists( #27, #88 ), references = 2, size of lhs = 1:
% 2.55/2.73 #-{F} V0 | P_intersection-{T}(V0,V0,V0)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #94: exists( #19, #92 ), references = 1, size of lhs = 3:
% 2.55/2.73 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), pppp1-{F}(V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #100: exists( #27, #98 ), references = 2, size of lhs = 2:
% 2.55/2.73 P_intersection-{F}(V0,V1,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #108: disj( #8, exists( #19, #92 ) ), references = 2, size of lhs = 2:
% 2.55/2.73 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1) | pppp8-{T}(V1,V0)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #123: exists( #9, #121 ), references = 1, size of lhs = 3:
% 2.55/2.73 pppp8-{F}(V0,V1), pppp1-{F}(V0,V2), P_intersection-{F}(V0,V2,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #129: exists( #27, #127 ), references = 3, size of lhs = 1:
% 2.55/2.73 pppp1-{F}(V0,V1) | P_intersection-{T}(V0,V1,V0)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #172: disj( #8, #41+#4+#1+#10 ), references = 1, size of lhs = 5:
% 2.55/2.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3), P_intersection-{F}(V1,V2,V5), pppp3-{F}(V0,V6,V5) | pppp8-{T}(V3,V4)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #173: disj( #8, #41+#4+#1+#20 ), references = 1, size of lhs = 6:
% 2.55/2.73 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V3,V2), P_intersection-{F}(V1,V4,V3), pppp4-{F}(V0,V4,V5), pppp4-{F}(V0,V6,V5) | pppp8-{T}(V5,V6)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #178: disj( #21, input ), references = 1, size of lhs = 3:
% 2.55/2.73 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #209: exists( #19, #207 ), references = 3, size of lhs = 5:
% 2.55/2.73 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0), P_intersection-{F}(V2,V3,V4), P_intersection-{F}(V4,V5,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #216: exists( #27, #214 ), references = 3, size of lhs = 2:
% 2.55/2.73 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V2,V3,V4) | P_intersection-{T}(V0,V4,V4)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #218: disj( #8, exists( #9, #121 ) ), references = 1, size of lhs = 2:
% 2.55/2.73 pppp8-{F}(V0,V1), P_intersection-{F}(V0,V2,V1) | pppp8-{T}(V0,V2)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #225: disj( #8, #129+#60+#100 ), references = 1, size of lhs = 1:
% 2.55/2.73 pppp5-{F}(V0,V1,V2) | pppp8-{T}(V2,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #241: disj( #8, #129+#60+#209 ), references = 1, size of lhs = 4:
% 2.55/2.73 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0), P_intersection-{F}(V2,V3,V4) | pppp8-{T}(V1,V4)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #266: disj( #21, input ), references = 1, size of lhs = 3:
% 2.55/2.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #267: disj( #21, input ), references = 1, size of lhs = 2:
% 2.55/2.73 pppp3-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #289: disj( #21, input ), references = 1, size of lhs = 2:
% 2.55/2.73 pppp4-{F}(V0,V1,V2), pppp3-{F}(V0,V3,V2) | member-{T}(V0,V1)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #290: disj( #21, input ), references = 1, size of lhs = 3:
% 2.55/2.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #333: exists( #9, #331 ), references = 1, size of lhs = 4:
% 2.55/2.73 pppp8-{F}(V0,V1), pppp1-{F}(V0,V2), P_intersection-{F}(V3,V2,V1), P_intersection-{F}(V3,V4,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #335: disj( #8, exists( #9, #331 ) ), references = 1, size of lhs = 3:
% 2.55/2.73 pppp1-{F}(V0,V1), P_intersection-{F}(V2,V1,V3), P_intersection-{F}(V2,V4,V0) | pppp1-{T}(V0,V3)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #340: exists( #27, #338 ), references = 2, size of lhs = 4:
% 2.55/2.73 pppp1-{F}(V0,V1), P_intersection-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V1), P_intersection-{F}(V3,V4,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #388: exists( #27, #386 ), references = 1, size of lhs = 3:
% 2.55/2.73 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V2,V3,V4), pppp5-{F}(V4,V0,V5) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #390: exists( #24, #387 ), references = 1, size of lhs = 3:
% 2.55/2.73 pppp6-{F}(V0,V1), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V3,V4,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #397: exists( #23, #395 ), references = 1, size of lhs = 1:
% 2.55/2.73 pppp7-{F}(V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #399: exists( #22, #396 ), references = 1, size of lhs = 0:
% 2.55/2.73 FALSE | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 number of learnt formulas = 38
% 2.55/2.73
% 2.55/2.73
% 2.55/2.73 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/2.73
% 2.55/2.73 randbase = 1
%------------------------------------------------------------------------------