%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET011+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 06:15:32 EDT 2022
% Result : Theorem 117.26s 117.43s
% Output : Refutation 117.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET011+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 01:51:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 117.26/117.43 GeoParameters:
% 117.26/117.43
% 117.26/117.43 tptp_input = 1
% 117.26/117.43 tptp_output = 0
% 117.26/117.43 nonempty = 1
% 117.26/117.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.26/117.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 117.26/117.43
% 117.26/117.43
% 117.26/117.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.26/117.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.26/117.43
% 117.26/117.43 RuleSystem INPUT:
% 117.26/117.43
% 117.26/117.43 Initial Rules:
% 117.26/117.43 #0: input, references = 17, size of lhs = 2:
% 117.26/117.43 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #1: input, references = 8, size of lhs = 2:
% 117.26/117.43 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #2: input, references = 11, size of lhs = 1:
% 117.26/117.43 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #3: input, references = 11, size of lhs = 1:
% 117.26/117.43 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #4: input, references = 8, size of lhs = 2:
% 117.26/117.43 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #5: input, references = 24, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp1-{T}(V2,V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #6: input, references = 7, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V3), pppp1-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #7: input, references = 7, size of lhs = 1:
% 117.26/117.43 pppp1-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #8: input, references = 26, size of lhs = 2:
% 117.26/117.43 pppp1-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #9: input, references = 9, size of lhs = 2:
% 117.26/117.43 #-{F} V2, member-{F}(V0,V1) | pppp1-{T}(V0,V1,V2), member-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #10: input, references = 3, size of lhs = 1:
% 117.26/117.43 #-{F} V1 | pppp2-{T}(V1,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #11: input, references = 3, size of lhs = 2:
% 117.26/117.43 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #12: input, references = 3, size of lhs = 1:
% 117.26/117.43 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #13: input, references = 3, size of lhs = 1:
% 117.26/117.43 pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #14: input, references = 3, size of lhs = 2:
% 117.26/117.43 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp2-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #15: input, references = 4, size of lhs = 3:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #16: input, references = 3, size of lhs = 1:
% 117.26/117.43 subset-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #17: input, references = 3, size of lhs = 1:
% 117.26/117.43 pppp3-{F}(V0,V1) | subset-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #18: input, references = 12, size of lhs = 2:
% 117.26/117.43 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #19: input, references = 15, size of lhs = 2:
% 117.26/117.43 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp9-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #20: input, references = 6, size of lhs = 1:
% 117.26/117.43 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #21: input, references = 5, size of lhs = 2:
% 117.26/117.43 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #22: input, references = 6, size of lhs = 1:
% 117.26/117.43 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #23: input, references = 3, size of lhs = 1:
% 117.26/117.43 #-{F} V0 | subset-{T}(V0,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #24: input, references = 3, size of lhs = 1:
% 117.26/117.43 #-{F} V1 | pppp4-{T}(V1,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #25: input, references = 3, size of lhs = 2:
% 117.26/117.43 pppp4-{F}(V0,V1), V0 == V1 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #26: input, references = 3, size of lhs = 2:
% 117.26/117.43 pppp4-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #27: input, references = 3, size of lhs = 2:
% 117.26/117.43 pppp4-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #28: input, references = 4, size of lhs = 2:
% 117.26/117.43 #-{F} V0, #-{F} V1 | pppp4-{T}(V0,V1), pppp10-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #29: input, references = 16, size of lhs = 1:
% 117.26/117.43 pppp10-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #30: input, references = 13, size of lhs = 3:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #31: input, references = 8, size of lhs = 1:
% 117.26/117.43 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #32: input, references = 4, size of lhs = 0:
% 117.26/117.43 FALSE | EXISTS V0: pppp8-{T}(V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #33: input, references = 4, size of lhs = 1:
% 117.26/117.43 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #34: input, references = 5, size of lhs = 4:
% 117.26/117.43 pppp7-{F}(V0,V1), P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V2,V4), P_intersection-{F}(V0,V1,V4) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #35: input, references = 10, size of lhs = 2:
% 117.26/117.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #36: input, references = 16, size of lhs = 2:
% 117.26/117.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 number of initial rules = 37
% 117.26/117.43
% 117.26/117.43 Simplifiers:
% 117.26/117.43 #37: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #38: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #39: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #40: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #41: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #42: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #43: unsound, references = 3, size of lhs = 3:
% 117.26/117.43 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 number of simplifiers = 7
% 117.26/117.43
% 117.26/117.43 Learnt:
% 117.26/117.43 #45: disj( #28, input ), references = 16, size of lhs = 3:
% 117.26/117.43 #-{F} V0, #-{F} V1, V0 == V1 | pppp10-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #51: disj( #31, #18+#30 ), references = 6, size of lhs = 3:
% 117.26/117.43 pppp3-{F}(V0,V1), pppp6-{F}(V2,V0,V1), pppp6-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #52: disj( #31, #18+#5+#8 ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp3-{F}(V0,V1), P_difference-{F}(V2,V1,V0), pppp6-{F}(V3,V0,V4) | member-{T}(V3,V4)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #62: disj( #19, #49+#0+#2+#30 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), pppp6-{F}(V0,V4,V3), P_intersection-{F}(V4,V5,V3) | pppp9-{T}(V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #63: disj( #19, #49+#0+#5+#2+#8 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), P_intersection-{F}(V4,V5,V3), P_difference-{F}(V6,V4,V3) | pppp9-{T}(V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #71: disj( #31, #0+#2+#30 ), references = 8, size of lhs = 3:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), P_intersection-{F}(V3,V4,V2) | member-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #72: disj( #31, #0+#5+#2+#8 ), references = 3, size of lhs = 3:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), P_intersection-{F}(V3,V4,V2), P_difference-{F}(V5,V3,V2) | member-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #77: exists( #29, #75 ), references = 2, size of lhs = 3:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V0,V1), P_intersection-{F}(V0,V2,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #80: exists( #35, #78 ), references = 2, size of lhs = 1:
% 117.26/117.43 #-{F} V0 | P_intersection-{T}(V0,V0,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #82: disj( #9, input ), references = 6, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2) | pppp1-{T}(V0,V1,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #86: exists( #35, #15 ), references = 14, size of lhs = 1:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #102: exists( #29, #98 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V1,V2,V0), P_intersection-{F}(V3,V4,V1), P_difference-{F}(V5,V3,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #103: exists( #29, #99 ), references = 1, size of lhs = 5:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V2,V3,V1), P_difference-{F}(V4,V2,V1), P_intersection-{F}(V5,V6,V0), P_difference-{F}(V7,V6,V0) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #106: exists( #35, #104 ), references = 3, size of lhs = 3:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), #-{F} V4 | P_intersection-{T}(V2,V4,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #108: disj( #9, input ), references = 4, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V2,V3) | pppp1-{T}(V0,V1,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #114: exists( #20, #112 ), references = 1, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), pppp9-{F}(V1,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #116: disj( #19, exists( #20, #112 ) ), references = 4, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), #-{F} V2 | pppp3-{T}(V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #125: exists( #29, #123 ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V2,V1), P_difference-{F}(V1,V3,V0) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #130: exists( #36, #128 ), references = 1, size of lhs = 3:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), #-{F} V4 | P_difference-{T}(V2,V4,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #132: disj( #9, input ), references = 3, size of lhs = 2:
% 117.26/117.43 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3) | pppp1-{T}(V0,V1,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #144: exists( #29, #140 ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp10-{F}(V0,V1), pppp3-{F}(V0,V1), P_difference-{F}(V0,V2,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #147: disj( #19, exists( #29, #140 ) ), references = 1, size of lhs = 2:
% 117.26/117.43 pppp10-{F}(V0,V1), P_difference-{F}(V0,V2,V1) | pppp9-{T}(V0,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #159: disj( #9, #6+#8 ), references = 8, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), P_difference-{F}(V1,V2,V3), pppp1-{F}(V0,V4,V3) | member-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #160: disj( #9, #6+#21 ), references = 1, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), P_difference-{F}(V1,V2,V3), pppp5-{F}(V0,V4,V3) | member-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #161: disj( #9, #6+#30 ), references = 1, size of lhs = 4:
% 117.26/117.43 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), P_difference-{F}(V1,V4,V3) | member-{T}(V0,V4)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #167: exists( #20, #165 ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp9-{F}(V0,V1), P_difference-{F}(V0,V2,V1), P_difference-{F}(V3,V2,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #171: exists( #36, #169 ), references = 2, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), #-{F} V2 | P_difference-{T}(V2,V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #176: exists( #29, #174 ), references = 1, size of lhs = 3:
% 117.26/117.43 P_difference-{F}(V0,V0,V1), pppp10-{F}(V1,V2), P_intersection-{F}(V1,V3,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #181: exists( #36, #179 ), references = 1, size of lhs = 3:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V3,V0,V2), #-{F} V4 | P_difference-{T}(V4,V4,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #196: disj( #19, #18+#8 ), references = 2, size of lhs = 2:
% 117.26/117.43 member-{F}(V0,V1), pppp1-{F}(V0,V2,V3) | pppp9-{T}(V1,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #197: disj( #19, #18+#21 ), references = 1, size of lhs = 2:
% 117.26/117.43 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3) | pppp9-{T}(V1,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #224: exists( #20, #220 ), references = 2, size of lhs = 2:
% 117.26/117.43 pppp9-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #227: disj( #19, exists( #20, #220 ) ), references = 11, size of lhs = 1:
% 117.26/117.43 P_difference-{F}(V0,V1,V2) | pppp3-{T}(V2,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #260: exists( #29, #258 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp10-{F}(V0,V1), pppp3-{F}(V0,V1), P_intersection-{F}(V2,V3,V1), P_difference-{F}(V4,V3,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #265: exists( #35, #263 ), references = 1, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V4) | P_intersection-{T}(V3,V4,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #274: disj( #19, #51+#8 ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), pppp1-{F}(V0,V4,V3) | pppp9-{T}(V1,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #333: exists( #29, #331 ), references = 1, size of lhs = 5:
% 117.26/117.43 pppp10-{F}(V0,V1), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), pppp3-{F}(V2,V3), P_difference-{F}(V4,V3,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #338: exists( #36, #336 ), references = 3, size of lhs = 2:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), pppp3-{F}(V2,V3) | P_difference-{T}(V2,V3,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #361: exists( #29, #357 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp10-{F}(V0,V1), pppp3-{F}(V0,V2), P_intersection-{F}(V0,V2,V1), P_intersection-{F}(V0,V3,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #368: exists( #35, #364 ), references = 10, size of lhs = 1:
% 117.26/117.43 pppp3-{F}(V0,V1) | P_intersection-{T}(V1,V0,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #372: disj( #19, exists( #29, #357 ) ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V2,V1), P_intersection-{F}(V0,V3,V1) | pppp9-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #390: disj( #19, #368+#71+#5+#8 ), references = 1, size of lhs = 4:
% 117.26/117.43 member-{F}(V0,V1), P_difference-{F}(V2,V1,V3), pppp6-{F}(V0,V3,V4), pppp6-{F}(V0,V5,V4) | pppp9-{T}(V4,V5)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #400: disj( #31, input ), references = 1, size of lhs = 2:
% 117.26/117.43 pppp1-{F}(V0,V1,V2), pppp6-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #401: disj( #31, input ), references = 1, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #450: disj( #9, #447+#8 ), references = 1, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), pppp6-{F}(V0,V2,V3), pppp1-{F}(V0,V4,V3) | member-{T}(V0,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #473: disj( #19, #368+#71+#0+#5+#3+#108+#159+#8 ), references = 1, size of lhs = 6:
% 117.26/117.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), pppp6-{F}(V0,V3,V4), P_intersection-{F}(V5,V6,V3), P_difference-{F}(V6,V4,V7), P_difference-{F}(V8,V7,V3) | pppp9-{T}(V2,V1)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #480: disj( #19, #51+#82+#18+#159+#5+#8 ), references = 1, size of lhs = 6:
% 117.26/117.43 pppp3-{F}(V0,V1), pppp6-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4), pppp6-{F}(V2,V5,V0), P_difference-{F}(V1,V6,V5), P_difference-{F}(V7,V0,V6) | pppp9-{T}(V3,V4)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #509: disj( #31, #0+#5+#3+#159+#30 ), references = 4, size of lhs = 5:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), pppp6-{F}(V3,V2,V4), pppp6-{F}(V3,V2,V5), P_difference-{F}(V1,V5,V6), P_difference-{F}(V7,V6,V2) | member-{T}(V3,V4)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #516: exists( #29, #514 ), references = 3, size of lhs = 7:
% 117.26/117.43 pppp3-{F}(V0,V1), pppp10-{F}(V2,V0), P_difference-{F}(V1,V3,V2), P_difference-{F}(V4,V0,V3), P_intersection-{F}(V5,V6,V2), P_difference-{F}(V6,V0,V7), P_difference-{F}(V8,V7,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #522: exists( #36, #520 ), references = 2, size of lhs = 3:
% 117.26/117.43 pppp3-{F}(V0,V1), P_difference-{F}(V1,V0,V2), P_difference-{F}(V3,V0,V2) | P_difference-{T}(V1,V2,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #525: exists( #36, #523 ), references = 1, size of lhs = 3:
% 117.26/117.43 pppp7-{F}(V0,V1), pppp3-{F}(V1,V0), P_intersection-{F}(V0,V1,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #528: disj( #19, #366+#524 ), references = 1, size of lhs = 1:
% 117.26/117.43 pppp7-{F}(V0,V1) | pppp9-{T}(V1,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #544: disj( #9, #196+#224 ), references = 1, size of lhs = 3:
% 117.26/117.43 member-{F}(V0,V1), pppp1-{F}(V0,V2,V3), P_difference-{F}(V3,V4,V5) | pppp1-{T}(V0,V1,V5)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #554: exists( #36, #552 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp3-{F}(V0,V0), P_difference-{F}(V1,V0,V2), P_difference-{F}(V3,V4,V4), P_difference-{F}(V5,V4,V4) | P_difference-{T}(V0,V2,V0)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #559: disj( #19, exists( #29, #514 ) ), references = 1, size of lhs = 6:
% 117.26/117.43 pppp10-{F}(V0,V1), P_difference-{F}(V2,V1,V3), P_difference-{F}(V4,V3,V0), P_intersection-{F}(V5,V6,V0), P_difference-{F}(V6,V1,V7), P_difference-{F}(V8,V7,V0) | pppp9-{T}(V1,V4)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #651: exists( #29, #649 ), references = 2, size of lhs = 4:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V2,V1), P_intersection-{F}(V0,V3,V1), P_intersection-{F}(V3,V4,V0) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #656: exists( #35, #654 ), references = 2, size of lhs = 1:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V0,V2,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #760: exists( #29, #758 ), references = 2, size of lhs = 7:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V2,V3,V0), P_difference-{F}(V3,V1,V4), P_difference-{F}(V5,V4,V0), P_intersection-{F}(V6,V7,V1), P_difference-{F}(V7,V0,V8), P_difference-{F}(V9,V8,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #849: exists( #29, #845 ), references = 4, size of lhs = 8:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V2,V3,V0), P_difference-{F}(V3,V1,V4), P_difference-{F}(V5,V4,V0), P_intersection-{F}(V6,V7,V1), P_intersection-{F}(V7,V8,V0), P_difference-{F}(V7,V8,V9), P_difference-{F}(V10,V9,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #850: exists( #29, #846 ), references = 1, size of lhs = 8:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V2,V3,V0), P_difference-{F}(V3,V1,V4), P_difference-{F}(V5,V4,V0), P_intersection-{F}(V6,V7,V1), P_intersection-{F}(V7,V8,V0), P_difference-{F}(V7,V8,V9), P_difference-{F}(V10,V9,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #878: exists( #36, #874 ), references = 1, size of lhs = 6:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V3), P_intersection-{F}(V4,V1,V5), P_difference-{F}(V6,V3,V5), P_intersection-{F}(V7,V8,V5), P_difference-{F}(V7,V8,V9) | P_difference-{T}(V7,V9,V5)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #892: exists( #36, #886 ), references = 2, size of lhs = 11:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V3), P_intersection-{F}(V4,V1,V5), P_difference-{F}(V6,V3,V5), P_intersection-{F}(V7,V8,V5), P_difference-{F}(V7,V8,V9), pppp10-{F}(V10,V9), P_difference-{F}(V11,V5,V10), P_difference-{F}(V11,V12,V9), P_intersection-{F}(V13,V7,V10), P_difference-{F}(V14,V5,V10) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #893: exists( #36, #887 ), references = 1, size of lhs = 12:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V3), P_intersection-{F}(V4,V1,V5), P_difference-{F}(V6,V3,V5), P_intersection-{F}(V7,V8,V5), P_difference-{F}(V7,V8,V9), pppp10-{F}(V9,V10), P_intersection-{F}(V11,V7,V10), P_difference-{F}(V12,V5,V10), P_difference-{F}(V13,V14,V9), P_difference-{F}(V13,V10,V15), P_difference-{F}(V16,V15,V9) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #894: exists( #36, #888 ), references = 1, size of lhs = 12:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V3), P_intersection-{F}(V4,V1,V5), P_difference-{F}(V6,V3,V5), P_difference-{F}(V7,V5,V8), pppp10-{F}(V9,V8), P_difference-{F}(V10,V11,V9), P_intersection-{F}(V10,V12,V5), P_difference-{F}(V10,V12,V9), P_intersection-{F}(V13,V10,V8), P_difference-{F}(V10,V8,V14), P_difference-{F}(V15,V14,V9) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #897: exists( #36, #895 ), references = 1, size of lhs = 8:
% 117.26/117.43 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V3), P_intersection-{F}(V4,V1,V5), P_difference-{F}(V6,V3,V5), P_intersection-{F}(V7,V8,V5), P_difference-{F}(V7,V5,V9), P_intersection-{F}(V10,V7,V9), P_difference-{F}(V11,V5,V9) | P_difference-{T}(V7,V8,V9)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #965: exists( #29, #963 ), references = 2, size of lhs = 5:
% 117.26/117.43 pppp10-{F}(V0,V1), P_intersection-{F}(V0,V2,V1), P_difference-{F}(V0,V3,V1), P_intersection-{F}(V4,V5,V0), P_difference-{F}(V6,V5,V3) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #972: exists( #36, #970 ), references = 3, size of lhs = 2:
% 117.26/117.43 P_intersection-{F}(V0,V1,V2), P_difference-{F}(V3,V1,V4) | P_difference-{T}(V2,V4,V2)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #993: exists( #36, #989 ), references = 1, size of lhs = 6:
% 117.26/117.43 P_intersection-{F}(V0,V1,V1), pppp3-{F}(V1,V2), P_difference-{F}(V2,V3,V1), P_intersection-{F}(V2,V3,V4), P_intersection-{F}(V5,V2,V4), P_difference-{F}(V6,V1,V4) | P_difference-{T}(V2,V1,V4)
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #999: exists( #36, #997 ), references = 1, size of lhs = 4:
% 117.26/117.43 pppp7-{F}(V0,V1), P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V3,V0,V2), P_intersection-{F}(V4,V1,V2) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #1006: exists( #35, #1004 ), references = 1, size of lhs = 1:
% 117.26/117.43 pppp7-{F}(V0,V1) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #1008: exists( #33, #1005 ), references = 1, size of lhs = 1:
% 117.26/117.43 pppp8-{F}(V0) | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 #1010: exists( #32, #1007 ), references = 1, size of lhs = 0:
% 117.26/117.43 FALSE | FALSE
% 117.26/117.43 (used 0 times, uses = {})
% 117.26/117.43
% 117.26/117.43 number of learnt formulas = 72
% 117.26/117.43
% 117.26/117.43
% 117.26/117.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.26/117.43
% 117.26/117.43 randbase = 1
%------------------------------------------------------------------------------