%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET597+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 06:16:24 EDT 2022
% Result : Theorem 6.75s 6.93s
% Output : Refutation 6.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET597+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 02:14:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.75/6.93 GeoParameters:
% 6.75/6.93
% 6.75/6.93 tptp_input = 1
% 6.75/6.93 tptp_output = 0
% 6.75/6.93 nonempty = 1
% 6.75/6.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.75/6.93
% 6.75/6.93
% 6.75/6.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.93
% 6.75/6.93 RuleSystem INPUT:
% 6.75/6.93
% 6.75/6.93 Initial Rules:
% 6.75/6.93 #0: input, references = 9, size of lhs = 1:
% 6.75/6.93 P_union-{F}(V0,V1,V2) | subset-{T}(V0,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #1: input, references = 6, size of lhs = 3:
% 6.75/6.93 subset-{F}(V1,V0), P_union-{F}(V2,V1,V3), subset-{F}(V2,V0) | subset-{T}(V3,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #2: input, references = 3, size of lhs = 2:
% 6.75/6.93 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #3: input, references = 8, size of lhs = 2:
% 6.75/6.93 P_union-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #4: input, references = 3, size of lhs = 1:
% 6.75/6.93 pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #5: input, references = 3, size of lhs = 2:
% 6.75/6.93 #-{F} V1, member-{F}(V2,V0) | pppp0-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #6: input, references = 7, size of lhs = 2:
% 6.75/6.93 #-{F} V0, member-{F}(V2,V1) | pppp0-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #7: input, references = 3, size of lhs = 1:
% 6.75/6.93 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #8: input, references = 16, size of lhs = 1:
% 6.75/6.93 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #9: input, references = 6, size of lhs = 2:
% 6.75/6.93 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #10: input, references = 13, size of lhs = 2:
% 6.75/6.93 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp11-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #11: input, references = 5, size of lhs = 1:
% 6.75/6.93 pppp11-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #12: input, references = 5, size of lhs = 2:
% 6.75/6.93 pppp5-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #13: input, references = 5, size of lhs = 1:
% 6.75/6.93 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #14: input, references = 3, size of lhs = 1:
% 6.75/6.93 #-{F} V1 | pppp2-{T}(V1,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #15: input, references = 9, size of lhs = 2:
% 6.75/6.93 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #16: input, references = 3, size of lhs = 1:
% 6.75/6.93 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #17: input, references = 3, size of lhs = 1:
% 6.75/6.93 pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #18: input, references = 9, size of lhs = 2:
% 6.75/6.93 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp2-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #19: input, references = 10, size of lhs = 3:
% 6.75/6.93 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #20: input, references = 4, size of lhs = 1:
% 6.75/6.93 #-{F} V0 | subset-{T}(V0,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #21: input, references = 3, size of lhs = 1:
% 6.75/6.93 #-{F} V1 | pppp3-{T}(V1,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #22: input, references = 3, size of lhs = 2:
% 6.75/6.93 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #23: input, references = 3, size of lhs = 2:
% 6.75/6.93 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #24: input, references = 3, size of lhs = 2:
% 6.75/6.93 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #25: input, references = 4, size of lhs = 2:
% 6.75/6.93 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp12-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #26: input, references = 3, size of lhs = 1:
% 6.75/6.93 pppp12-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #27: input, references = 7, size of lhs = 3:
% 6.75/6.93 pppp6-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #28: input, references = 6, size of lhs = 1:
% 6.75/6.93 pppp6-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #29: input, references = 4, size of lhs = 0:
% 6.75/6.93 FALSE | EXISTS V0: pppp9-{T}(V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #30: input, references = 4, size of lhs = 1:
% 6.75/6.93 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #31: input, references = 6, size of lhs = 1:
% 6.75/6.93 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #32: input, references = 4, size of lhs = 3:
% 6.75/6.93 pppp7-{F}(V3,V1,V2), P_union-{F}(V1,V2,V3), pppp4-{F}(V3,V1,V2) | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #33: input, references = 19, size of lhs = 3:
% 6.75/6.93 pppp7-{F}(V0,V1,V2), P_union-{F}(V1,V2,V3), V0 == V3 | pppp4-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #34: input, references = 9, size of lhs = 1:
% 6.75/6.93 pppp4-{F}(V0,V1,V2) | subset-{T}(V1,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #35: input, references = 6, size of lhs = 1:
% 6.75/6.93 pppp4-{F}(V0,V1,V2) | subset-{T}(V2,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #36: input, references = 13, size of lhs = 3:
% 6.75/6.93 pppp4-{F}(V0,V1,V2), subset-{F}(V1,V3), subset-{F}(V2,V3) | subset-{T}(V0,V3)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #37: input, references = 7, size of lhs = 2:
% 6.75/6.93 subset-{F}(V1,V0), subset-{F}(V2,V0) | pppp4-{T}(V0,V1,V2), pppp13-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #38: input, references = 6, size of lhs = 1:
% 6.75/6.93 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #39: input, references = 9, size of lhs = 2:
% 6.75/6.93 pppp10-{F}(V0,V1,V2,V3), subset-{F}(V0,V3) | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #40: input, references = 5, size of lhs = 1:
% 6.75/6.93 pppp10-{F}(V0,V1,V2,V3) | subset-{T}(V2,V3)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #41: input, references = 5, size of lhs = 1:
% 6.75/6.93 pppp10-{F}(V0,V1,V2,V3) | subset-{T}(V1,V3)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #42: input, references = 11, size of lhs = 2:
% 6.75/6.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 number of initial rules = 43
% 6.75/6.93
% 6.75/6.93 Simplifiers:
% 6.75/6.93 #43: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #44: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #45: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #46: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #47: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V1 == V4 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #48: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V0 == V3 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #49: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #50: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #51: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #52: unsound, references = 3, size of lhs = 3:
% 6.75/6.93 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 number of simplifiers = 10
% 6.75/6.93
% 6.75/6.93 Learnt:
% 6.75/6.93 #54: disj( #25, input ), references = 1, size of lhs = 3:
% 6.75/6.93 #-{F} V0, #-{F} V1, V0 == V1 | pppp12-{T}(V0,V1)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #59: exists( #42, #57 ), references = 25, size of lhs = 2:
% 6.75/6.93 subset-{F}(V0,V0), subset-{F}(V1,V0) | P_union-{T}(V0,V1,V0)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #61: exists( #42, #19 ), references = 14, size of lhs = 1:
% 6.75/6.93 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #73: exists( #38, #71 ), references = 1, size of lhs = 1:
% 6.75/6.93 pppp13-{F}(V0,V1,V0) | FALSE
% 6.75/6.93 (used 0 times, uses = {})
% 6.75/6.93
% 6.75/6.93 #75: disj( #37, exists( #38, #71 ) ), references = 1, size of lhs = 2:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V1,V0) | pppp4-{T}(V0,V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #79: disj( #28, #6+#3+#27 ), references = 1, size of lhs = 3:
% 6.75/6.94 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), P_union-{F}(V4,V1,V3) | member-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #84: exists( #11, #82 ), references = 10, size of lhs = 2:
% 6.75/6.94 pppp11-{F}(V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #96: disj( #10, #9+#27 ), references = 2, size of lhs = 3:
% 6.75/6.94 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V2,V3,V0) | pppp11-{T}(V1,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #127: disj( #10, #8+#59+#61+#33+#35+#18+#15 ), references = 1, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V1,V1,V0), V1 == V0 | pppp11-{T}(V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #137: disj( #37, #36+#18+#15 ), references = 1, size of lhs = 6:
% 6.75/6.94 subset-{F}(V0,V1), subset-{F}(V2,V1), subset-{F}(V0,V3), V1 == V3, subset-{F}(V3,V1), subset-{F}(V2,V3) | pppp13-{T}(V1,V0,V2)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #138: disj( #37, #36+#59+#19 ), references = 1, size of lhs = 7:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V1,V0), subset-{F}(V1,V2), subset-{F}(V3,V2), subset-{F}(V3,V0), P_union-{F}(V2,V0,V4), V4 == V0 | pppp13-{T}(V2,V1,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #139: disj( #37, #36+#59+#84 ), references = 1, size of lhs = 6:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V1,V0), subset-{F}(V1,V2), pppp11-{F}(V2,V0), subset-{F}(V3,V2), subset-{F}(V3,V0) | pppp13-{T}(V2,V1,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #153: disj( #10, #8+#59+#19 ), references = 3, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V0), P_union-{F}(V1,V0,V2), V2 == V0 | pppp11-{T}(V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #176: exists( #42, #170 ), references = 1, size of lhs = 2:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V0,V0,V1) | P_union-{T}(V0,V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #177: exists( #42, #171 ), references = 2, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V0), pppp11-{F}(V1,V0), pppp7-{F}(V0,V2,V1) | P_union-{T}(V2,V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #186: disj( #37, input ), references = 2, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V1), pppp7-{F}(V1,V0,V2), subset-{F}(V2,V1), P_union-{F}(V0,V2,V1) | pppp13-{T}(V1,V0,V2)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #201: exists( #38, #199 ), references = 1, size of lhs = 1:
% 6.75/6.94 pppp13-{F}(V0,V0,V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #207: exists( #31, #205 ), references = 1, size of lhs = 2:
% 6.75/6.94 pppp8-{F}(V0,V0), subset-{F}(V0,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #235: disj( #37, exists( #38, #199 ) ), references = 1, size of lhs = 2:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V1,V0) | pppp4-{T}(V0,V0,V1)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #241: disj( #28, input ), references = 1, size of lhs = 3:
% 6.75/6.94 member-{F}(V0,V1), pppp6-{F}(V1,V2,V0), pppp6-{F}(V2,V3,V0) | member-{T}(V0,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #274: exists( #42, #272 ), references = 2, size of lhs = 2:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V0,V1,V2) | P_union-{T}(V0,V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #278: disj( #28, #6+#3+#27 ), references = 1, size of lhs = 3:
% 6.75/6.94 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), P_union-{F}(V4,V0,V3) | member-{T}(V2,V1)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #298: disj( #10, #8+#59+#61+#33+#34+#39 ), references = 1, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V1,V2,V0), V1 == V0, pppp10-{F}(V2,V3,V4,V1) | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #328: exists( #42, #326 ), references = 1, size of lhs = 2:
% 6.75/6.94 pppp7-{F}(V0,V1,V2), pppp10-{F}(V1,V3,V4,V0) | P_union-{T}(V1,V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #389: disj( #10, #8+#59+#33+#34+#59+#84 ), references = 1, size of lhs = 5:
% 6.75/6.94 subset-{F}(V0,V0), pppp11-{F}(V0,V1), V1 == V0, subset-{F}(V1,V1), pppp7-{F}(V1,V0,V2) | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #390: disj( #10, #8+#59+#33+#34+#59+#19 ), references = 1, size of lhs = 6:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V1,V1), V0 == V1, pppp7-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V3 == V0 | pppp11-{T}(V2,V1)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #412: exists( #42, #408 ), references = 1, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V0), pppp11-{F}(V1,V0), pppp7-{F}(V0,V1,V2) | P_union-{T}(V1,V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #413: exists( #42, #409 ), references = 1, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V3 == V0 | P_union-{T}(V1,V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #417: exists( #31, #415 ), references = 2, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V0), pppp8-{F}(V0,V1), pppp11-{F}(V1,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #439: exists( #42, #437 ), references = 1, size of lhs = 2:
% 6.75/6.94 subset-{F}(V0,V0), pppp8-{F}(V0,V1) | P_union-{T}(V0,V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #469: disj( #10, #8+#59+#61+#33+#36+#18+#15 ), references = 1, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V0,V1), V1 == V0, pppp7-{F}(V1,V2,V0) | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #470: disj( #10, #8+#59+#61+#33+#36+#59+#84 ), references = 1, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V0), pppp11-{F}(V1,V0), V1 == V0, pppp7-{F}(V1,V2,V0) | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #471: disj( #10, #8+#59+#61+#33+#36+#59+#19 ), references = 1, size of lhs = 5:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V1,V2,V0), V1 == V0, P_union-{F}(V1,V0,V3), V3 == V0 | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #487: disj( #10, #8+#59+#61+#3+#96+#84 ), references = 1, size of lhs = 5:
% 6.75/6.94 subset-{F}(V0,V0), pppp0-{F}(V1,V0,V2), member-{F}(V2,V3), pppp6-{F}(V3,V4,V2), P_union-{F}(V5,V0,V4) | pppp11-{T}(V1,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #506: disj( #10, #8+#39 ), references = 1, size of lhs = 1:
% 6.75/6.94 pppp10-{F}(V0,V1,V2,V3) | pppp11-{T}(V0,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #507: disj( #10, #9+#27 ), references = 1, size of lhs = 3:
% 6.75/6.94 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V3,V2,V0) | pppp11-{T}(V1,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #532: disj( #10, #8+#59+#33+#36+#18+#15 ), references = 1, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V0), subset-{F}(V0,V1), V1 == V0, pppp7-{F}(V1,V0,V2) | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #533: disj( #10, #8+#59+#33+#36+#59+#84 ), references = 1, size of lhs = 4:
% 6.75/6.94 subset-{F}(V0,V0), pppp11-{F}(V1,V0), V1 == V0, pppp7-{F}(V1,V0,V2) | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #534: disj( #10, #8+#59+#33+#36+#59+#19 ), references = 1, size of lhs = 5:
% 6.75/6.94 subset-{F}(V0,V0), pppp7-{F}(V1,V0,V2), V1 == V0, P_union-{F}(V1,V0,V3), V3 == V0 | pppp11-{T}(V2,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #570: exists( #11, #568 ), references = 1, size of lhs = 3:
% 6.75/6.94 pppp11-{F}(V0,V1), pppp1-{F}(V0,V2), P_union-{F}(V3,V2,V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #572: disj( #10, exists( #11, #568 ) ), references = 1, size of lhs = 2:
% 6.75/6.94 pppp1-{F}(V0,V1), P_union-{F}(V2,V1,V3) | pppp1-{T}(V0,V3)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #638: exists( #42, #634 ), references = 1, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V1), pppp7-{F}(V1,V0,V2), subset-{F}(V2,V1) | P_union-{T}(V0,V2,V1)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #665: exists( #38, #663 ), references = 1, size of lhs = 2:
% 6.75/6.94 pppp13-{F}(V0,V1,V2), P_union-{F}(V1,V2,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #672: exists( #31, #670 ), references = 1, size of lhs = 3:
% 6.75/6.94 subset-{F}(V0,V0), pppp8-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #677: exists( #30, #675 ), references = 1, size of lhs = 2:
% 6.75/6.94 pppp9-{F}(V0), subset-{F}(V0,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #680: exists( #29, #678 ), references = 1, size of lhs = 0:
% 6.75/6.94 FALSE | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 number of learnt formulas = 46
% 6.75/6.94
% 6.75/6.94
% 6.75/6.94 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.94
% 6.75/6.94 randbase = 1
%------------------------------------------------------------------------------