%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET201+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:16:00 EDT 2022
% Result : Theorem 3.16s 3.35s
% Output : Refutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET201+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 01:26:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.16/3.35 GeoParameters:
% 3.16/3.35
% 3.16/3.35 tptp_input = 1
% 3.16/3.35 tptp_output = 0
% 3.16/3.35 nonempty = 1
% 3.16/3.35 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.35 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.16/3.35
% 3.16/3.35
% 3.16/3.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.35
% 3.16/3.35 RuleSystem INPUT:
% 3.16/3.35
% 3.16/3.35 Initial Rules:
% 3.16/3.35 #0: input, references = 7, size of lhs = 2:
% 3.16/3.35 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #1: input, references = 7, size of lhs = 2:
% 3.16/3.35 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #2: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #3: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #4: input, references = 7, size of lhs = 2:
% 3.16/3.35 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #5: input, references = 9, size of lhs = 1:
% 3.16/3.35 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #6: input, references = 6, size of lhs = 1:
% 3.16/3.35 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #7: input, references = 12, size of lhs = 2:
% 3.16/3.35 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #8: input, references = 16, size of lhs = 2:
% 3.16/3.35 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp9-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #9: input, references = 6, size of lhs = 1:
% 3.16/3.35 pppp9-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #10: input, references = 6, size of lhs = 2:
% 3.16/3.35 pppp3-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #11: input, references = 6, size of lhs = 1:
% 3.16/3.35 pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #12: input, references = 4, size of lhs = 3:
% 3.16/3.35 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #13: input, references = 6, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | subset-{T}(V0,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #14: input, references = 3, size of lhs = 1:
% 3.16/3.35 #-{F} V1 | pppp2-{T}(V1,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #15: input, references = 3, size of lhs = 2:
% 3.16/3.35 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #16: input, references = 3, size of lhs = 2:
% 3.16/3.35 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #17: input, references = 3, size of lhs = 2:
% 3.16/3.35 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #18: input, references = 4, size of lhs = 2:
% 3.16/3.35 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp10-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #19: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp10-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #20: input, references = 11, size of lhs = 3:
% 3.16/3.35 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #21: input, references = 7, size of lhs = 1:
% 3.16/3.35 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #22: input, references = 4, size of lhs = 0:
% 3.16/3.35 FALSE | EXISTS V0: pppp8-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #23: input, references = 4, size of lhs = 1:
% 3.16/3.35 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #24: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #25: input, references = 4, size of lhs = 1:
% 3.16/3.35 pppp7-{F}(V0,V1) | subset-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #26: input, references = 6, size of lhs = 1:
% 3.16/3.35 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V3,V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #27: input, references = 9, size of lhs = 4:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3), P_intersection-{F}(V1,V0,V4), P_intersection-{F}(V2,V3,V5), subset-{F}(V4,V5) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #28: input, references = 7, size of lhs = 3:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3), P_intersection-{F}(V1,V0,V4), P_intersection-{F}(V2,V3,V5) | subset-{T}(V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #29: input, references = 14, size of lhs = 2:
% 3.16/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 number of initial rules = 30
% 3.16/3.35
% 3.16/3.35 Simplifiers:
% 3.16/3.35 #30: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #31: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #32: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #33: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #34: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #35: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #36: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #37: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #38: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #39: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #40: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #41: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #42: unsound, references = 3, size of lhs = 3:
% 3.16/3.35 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 number of simplifiers = 13
% 3.16/3.35
% 3.16/3.35 Learnt:
% 3.16/3.35 #44: disj( #18, input ), references = 3, size of lhs = 3:
% 3.16/3.35 #-{F} V0, #-{F} V1, V0 == V1 | pppp10-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #47: disj( #21, #7+#20 ), references = 1, size of lhs = 3:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #52: disj( #8, #46+#0+#3+#20 ), references = 1, size of lhs = 4:
% 3.16/3.35 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V3,V4), P_intersection-{F}(V5,V4,V3) | pppp9-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #56: disj( #21, #4+#1+#20 ), references = 1, size of lhs = 3:
% 3.16/3.35 P_intersection-{F}(V0,V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #63: disj( #21, #0+#3+#20 ), references = 1, size of lhs = 3:
% 3.16/3.35 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), P_intersection-{F}(V4,V3,V2) | member-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #66: exists( #29, #12 ), references = 15, size of lhs = 1:
% 3.16/3.35 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #72: exists( #9, #70 ), references = 2, size of lhs = 2:
% 3.16/3.35 pppp9-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #76: disj( #21, #7+#20 ), references = 3, size of lhs = 3:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp4-{F}(V2,V0,V1), pppp4-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #78: disj( #8, exists( #9, #70 ) ), references = 6, size of lhs = 1:
% 3.16/3.35 P_intersection-{F}(V0,V1,V2) | pppp1-{T}(V2,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #86: exists( #19, #84 ), references = 2, size of lhs = 3:
% 3.16/3.35 pppp10-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V1,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #92: exists( #19, #90 ), references = 3, size of lhs = 4:
% 3.16/3.35 pppp10-{F}(V0,V1), pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), P_intersection-{F}(V1,V2,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #94: disj( #8, exists( #19, #90 ) ), references = 1, size of lhs = 3:
% 3.16/3.35 pppp10-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | pppp9-{T}(V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #107: exists( #29, #103 ), references = 1, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | P_intersection-{T}(V0,V0,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #108: exists( #29, #104 ), references = 9, size of lhs = 1:
% 3.16/3.35 pppp1-{F}(V0,V1) | P_intersection-{T}(V0,V1,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #124: disj( #8, #7+#7+#20 ), references = 1, size of lhs = 4:
% 3.16/3.35 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V2,V3), pppp1-{F}(V4,V3) | pppp9-{T}(V1,V4)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #125: disj( #8, #7+#7+#10 ), references = 2, size of lhs = 3:
% 3.16/3.35 member-{F}(V0,V1), pppp1-{F}(V2,V3), pppp3-{F}(V0,V4,V3) | pppp9-{T}(V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #132: mergings( V3 == V5, V2 == V4, V4 == V6; #128 ), references = 1, size of lhs = 2:
% 3.16/3.35 P_intersection-{F}(V0,V1,V0), pppp5-{F}(V2,V3,V0,V1) | pppp9-{T}(V3,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #144: exists( #9, #142 ), references = 2, size of lhs = 3:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp9-{F}(V2,V1), P_intersection-{F}(V0,V3,V2) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #147: disj( #8, exists( #29, #143 ) ), references = 5, size of lhs = 2:
% 3.16/3.35 pppp1-{F}(V0,V1), P_intersection-{F}(V0,V2,V3) | pppp1-{T}(V3,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #167: exists( #29, #165 ), references = 2, size of lhs = 5:
% 3.16/3.35 pppp10-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0), pppp5-{F}(V3,V1,V2,V4), P_intersection-{F}(V2,V4,V5) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #180: disj( #8, #147+#108+#66+#167 ), references = 1, size of lhs = 4:
% 3.16/3.35 pppp10-{F}(V0,V1), P_intersection-{F}(V2,V3,V0), pppp5-{F}(V4,V1,V0,V5), P_intersection-{F}(V0,V5,V6) | pppp9-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #203: exists( #29, #199 ), references = 2, size of lhs = 4:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp9-{F}(V2,V1), pppp5-{F}(V3,V2,V0,V4), P_intersection-{F}(V0,V4,V5) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #207: mergings( V4 == V6, V3 == V5, V5 == V7; #202 ), references = 2, size of lhs = 2:
% 3.16/3.35 P_intersection-{F}(V0,V1,V0), pppp5-{F}(V2,V3,V0,V1) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #212: mergings( V2 == V4; #209 ), references = 2, size of lhs = 2:
% 3.16/3.35 P_intersection-{F}(V0,V1,V0), pppp6-{F}(V2,V1,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #226: exists( #29, #224 ), references = 1, size of lhs = 1:
% 3.16/3.35 pppp5-{F}(V0,V1,V1,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #236: disj( #8, #108+#212 ), references = 1, size of lhs = 1:
% 3.16/3.35 pppp6-{F}(V0,V1,V2) | pppp9-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #237: disj( #8, #108+#207 ), references = 1, size of lhs = 1:
% 3.16/3.35 pppp5-{F}(V0,V1,V2,V3) | pppp9-{T}(V2,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #249: disj( #8, #108+#66+#27 ), references = 1, size of lhs = 3:
% 3.16/3.35 subset-{F}(V0,V1), P_intersection-{F}(V2,V3,V0), pppp5-{F}(V3,V2,V4,V1) | pppp9-{T}(V1,V4)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #265: exists( #29, #262 ), references = 1, size of lhs = 3:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp9-{F}(V2,V1), pppp5-{F}(V3,V2,V0,V4) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #268: disj( #8, exists( #29, #262 ) ), references = 3, size of lhs = 2:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp5-{F}(V2,V3,V0,V4) | pppp1-{T}(V3,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #326: exists( #9, #324 ), references = 1, size of lhs = 5:
% 3.16/3.35 pppp1-{F}(V0,V1), P_intersection-{F}(V0,V2,V3), pppp9-{F}(V3,V4), pppp1-{F}(V3,V5), P_intersection-{F}(V5,V1,V4) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #328: disj( #8, exists( #9, #324 ) ), references = 1, size of lhs = 4:
% 3.16/3.35 pppp1-{F}(V0,V1), P_intersection-{F}(V0,V2,V3), pppp1-{F}(V3,V4), P_intersection-{F}(V4,V1,V5) | pppp1-{T}(V3,V5)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #333: exists( #29, #331 ), references = 4, size of lhs = 5:
% 3.16/3.35 pppp1-{F}(V0,V1), P_intersection-{F}(V0,V2,V3), pppp1-{F}(V3,V4), P_intersection-{F}(V5,V6,V3), pppp5-{F}(V6,V5,V1,V4) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #350: exists( #29, #348 ), references = 1, size of lhs = 2:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp5-{F}(V2,V0,V1,V2) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #353: exists( #26, #351 ), references = 1, size of lhs = 2:
% 3.16/3.35 pppp1-{F}(V0,V0), pppp6-{F}(V1,V1,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #357: exists( #24, #355 ), references = 1, size of lhs = 1:
% 3.16/3.35 pppp7-{F}(V0,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #362: disj( #8, exists( #9, #142 ) ), references = 1, size of lhs = 2:
% 3.16/3.35 pppp9-{F}(V0,V1), P_intersection-{F}(V2,V3,V0) | pppp9-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #363: disj( #8, exists( #9, #324 ) ), references = 1, size of lhs = 4:
% 3.16/3.35 pppp9-{F}(V0,V1), pppp1-{F}(V0,V2), P_intersection-{F}(V2,V3,V1), P_intersection-{F}(V4,V5,V0) | pppp9-{T}(V4,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #374: exists( #29, #372 ), references = 1, size of lhs = 2:
% 3.16/3.35 P_intersection-{F}(V0,V1,V2), pppp5-{F}(V3,V2,V0,V1) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #380: disj( #8, #108+#66+#147+#333 ), references = 1, size of lhs = 4:
% 3.16/3.35 pppp1-{F}(V0,V1), P_intersection-{F}(V0,V2,V3), pppp1-{F}(V4,V5), pppp5-{F}(V4,V3,V1,V5) | pppp9-{T}(V3,V4)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #391: exists( #29, #389 ), references = 1, size of lhs = 3:
% 3.16/3.35 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), pppp5-{F}(V0,V2,V3,V1) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #394: exists( #26, #392 ), references = 2, size of lhs = 3:
% 3.16/3.35 pppp1-{F}(V0,V0), pppp1-{F}(V1,V2), pppp6-{F}(V1,V2,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #398: exists( #24, #396 ), references = 1, size of lhs = 2:
% 3.16/3.35 pppp7-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #402: exists( #23, #400 ), references = 1, size of lhs = 1:
% 3.16/3.35 pppp8-{F}(V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #404: exists( #22, #401 ), references = 1, size of lhs = 0:
% 3.16/3.35 FALSE | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 number of learnt formulas = 45
% 3.16/3.35
% 3.16/3.35
% 3.16/3.35 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.35
% 3.16/3.35 randbase = 1
%------------------------------------------------------------------------------