TSTP Solution File: SET588+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 5.56s 5.77s
% Output : Refutation 5.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 01:28:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.56/5.77 GeoParameters:
% 5.56/5.77
% 5.56/5.77 tptp_input = 1
% 5.56/5.77 tptp_output = 0
% 5.56/5.77 nonempty = 1
% 5.56/5.77 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.77 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.56/5.77
% 5.56/5.77
% 5.56/5.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.77
% 5.56/5.77 RuleSystem INPUT:
% 5.56/5.77
% 5.56/5.77 Initial Rules:
% 5.56/5.77 #0: input, references = 12, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #1: input, references = 8, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #2: input, references = 5, size of lhs = 1:
% 5.56/5.77 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #3: input, references = 14, size of lhs = 2:
% 5.56/5.77 pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #4: input, references = 6, size of lhs = 2:
% 5.56/5.77 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #5: input, references = 8, size of lhs = 1:
% 5.56/5.77 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #6: input, references = 4, size of lhs = 1:
% 5.56/5.77 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #7: input, references = 12, size of lhs = 2:
% 5.56/5.77 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #8: input, references = 17, size of lhs = 2:
% 5.56/5.77 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp6-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #9: input, references = 14, size of lhs = 1:
% 5.56/5.77 pppp6-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #10: input, references = 6, size of lhs = 2:
% 5.56/5.77 pppp2-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #11: input, references = 15, size of lhs = 1:
% 5.56/5.77 pppp2-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #12: input, references = 8, size of lhs = 1:
% 5.56/5.77 #-{F} V0 | subset-{T}(V0,V0)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #13: input, references = 4, size of lhs = 0:
% 5.56/5.77 FALSE | EXISTS V0: pppp5-{T}(V0)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #14: input, references = 5, size of lhs = 1:
% 5.56/5.77 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #15: input, references = 7, size of lhs = 1:
% 5.56/5.77 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #16: input, references = 4, size of lhs = 1:
% 5.56/5.77 pppp4-{F}(V0,V1) | subset-{T}(V0,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #17: input, references = 5, size of lhs = 4:
% 5.56/5.77 pppp3-{F}(V0,V1,V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V2,V4), subset-{F}(V3,V4) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #18: input, references = 18, size of lhs = 2:
% 5.56/5.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 number of initial rules = 19
% 5.56/5.77
% 5.56/5.77 Simplifiers:
% 5.56/5.77 #19: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #20: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #21: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #22: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #23: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #24: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #25: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #26: unsound, references = 3, size of lhs = 3:
% 5.56/5.77 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 number of simplifiers = 8
% 5.56/5.77
% 5.56/5.77 Learnt:
% 5.56/5.77 #29: exists( #18, #27 ), references = 1, size of lhs = 1:
% 5.56/5.77 pppp3-{F}(V0,V0,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #31: exists( #15, #28 ), references = 1, size of lhs = 1:
% 5.56/5.77 pppp4-{F}(V0,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #33: disj( #4, input ), references = 7, size of lhs = 2:
% 5.56/5.77 member-{F}(V0,V1), pppp2-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #42: disj( #4, input ), references = 3, size of lhs = 2:
% 5.56/5.77 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #47: disj( #8, #7+#3 ), references = 3, size of lhs = 2:
% 5.56/5.77 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp6-{T}(V1,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #48: disj( #8, #7+#10 ), references = 1, size of lhs = 2:
% 5.56/5.77 member-{F}(V0,V1), pppp2-{F}(V0,V2,V3) | pppp6-{T}(V1,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #53: disj( #4, #7+#3 ), references = 5, size of lhs = 3:
% 5.56/5.77 member-{F}(V0,V1), pppp1-{F}(V2,V3), pppp0-{F}(V0,V4,V3) | pppp0-{T}(V0,V1,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #54: disj( #4, #7+#10 ), references = 1, size of lhs = 3:
% 5.56/5.77 member-{F}(V0,V1), pppp1-{F}(V2,V3), pppp2-{F}(V0,V4,V3) | pppp0-{T}(V0,V1,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #57: disj( #8, #6+#17 ), references = 7, size of lhs = 3:
% 5.56/5.77 pppp3-{F}(V0,V1,V2), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V2,V4) | pppp6-{T}(V3,V4)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #64: exists( #9, #62 ), references = 1, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V1,V1), pppp6-{F}(V1,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #67: exists( #18, #65 ), references = 1, size of lhs = 3:
% 5.56/5.77 P_difference-{F}(V0,V1,V1), P_difference-{F}(V2,V3,V1), pppp3-{F}(V2,V4,V3) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #69: disj( #8, exists( #9, #62 ) ), references = 1, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V1,V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #74: exists( #9, #72 ), references = 2, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), pppp6-{F}(V1,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #77: exists( #18, #75 ), references = 1, size of lhs = 3:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V3,V1), pppp3-{F}(V2,V4,V3) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #79: exists( #18, #76 ), references = 1, size of lhs = 1:
% 5.56/5.77 pppp3-{F}(V0,V1,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #81: disj( #8, exists( #9, #72 ) ), references = 4, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #91: exists( #9, #87 ), references = 2, size of lhs = 2:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #94: disj( #8, exists( #9, #87 ) ), references = 5, size of lhs = 1:
% 5.56/5.77 P_difference-{F}(V0,V1,V2) | pppp1-{T}(V2,V0)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #99: exists( #9, #97 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V2,V3,V0), P_difference-{F}(V3,V4,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #117: exists( #9, #112 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V0,V2,V1), P_difference-{F}(V3,V2,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #118: exists( #9, #113 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V3,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #125: exists( #18, #119 ), references = 1, size of lhs = 3:
% 5.56/5.77 P_difference-{F}(V0,V1,V2), pppp3-{F}(V0,V2,V1), P_difference-{F}(V3,V1,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #126: exists( #18, #121 ), references = 1, size of lhs = 4:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V3,V4,V2), pppp3-{F}(V3,V5,V4) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #129: exists( #18, #127 ), references = 1, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), pppp3-{F}(V1,V2,V3) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #131: exists( #15, #128 ), references = 1, size of lhs = 2:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), pppp4-{F}(V1,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #133: exists( #14, #130 ), references = 1, size of lhs = 2:
% 5.56/5.77 pppp5-{F}(V0), P_difference-{F}(V1,V1,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #136: disj( #8, exists( #18, #121 ) ), references = 1, size of lhs = 3:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), pppp3-{F}(V2,V3,V4), P_difference-{F}(V2,V4,V5) | pppp6-{T}(V5,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #137: disj( #8, exists( #9, #113 ) ), references = 1, size of lhs = 2:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V2,V2,V3) | pppp6-{T}(V0,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #142: exists( #9, #140 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V0,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #144: disj( #8, exists( #9, #140 ) ), references = 2, size of lhs = 3:
% 5.56/5.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V1), #-{F} V3 | pppp1-{T}(V0,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #153: exists( #9, #151 ), references = 1, size of lhs = 4:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), pppp1-{F}(V2,V3), P_difference-{F}(V4,V3,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #157: exists( #18, #155 ), references = 2, size of lhs = 3:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp3-{F}(V0,V2,V1), P_difference-{F}(V2,V1,V3) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #159: exists( #18, #157 ), references = 2, size of lhs = 2:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp3-{F}(V0,V2,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #162: exists( #15, #160 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp4-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V0,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #168: exists( #9, #166 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V2,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #170: disj( #8, exists( #9, #140 ) ), references = 1, size of lhs = 2:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V2,V0,V3) | pppp6-{T}(V0,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #176: exists( #9, #174 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V0,V1,V2), pppp1-{F}(V2,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #179: disj( #8, exists( #15, #160 ) ), references = 1, size of lhs = 2:
% 5.56/5.77 pppp4-{F}(V0,V1), P_difference-{F}(V2,V0,V3) | pppp6-{T}(V0,V3)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #188: exists( #9, #186 ), references = 2, size of lhs = 4:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V2,V3), pppp1-{F}(V3,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #194: disj( #8, exists( #9, #186 ) ), references = 7, size of lhs = 3:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V3,V0,V2) | pppp1-{T}(V3,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #200: disj( #8, exists( #9, #151 ) ), references = 4, size of lhs = 4:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), P_difference-{F}(V3,V2,V0), #-{F} V4 | pppp1-{T}(V0,V4)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #201: disj( #8, exists( #9, #97 ) ), references = 1, size of lhs = 3:
% 5.56/5.77 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V3,V2), #-{F} V4 | pppp1-{T}(V2,V4)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #206: disj( #8, exists( #9, #186 ) ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V3,V2) | pppp6-{T}(V3,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #216: exists( #18, #214 ), references = 2, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), pppp1-{F}(V2,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #221: exists( #18, #219 ), references = 4, size of lhs = 3:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp3-{F}(V0,V2,V3), P_difference-{F}(V2,V3,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #228: exists( #18, #226 ), references = 1, size of lhs = 5:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V0), P_difference-{F}(V3,V1,V2), P_difference-{F}(V4,V5,V2), pppp3-{F}(V4,V5,V2) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #231: disj( #8, exists( #9, #174 ) ), references = 1, size of lhs = 2:
% 5.56/5.77 pppp6-{F}(V0,V1), P_difference-{F}(V0,V1,V2) | pppp6-{T}(V2,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #232: disj( #8, exists( #9, #186 ) ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V2,V3) | pppp6-{T}(V3,V1)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #240: exists( #18, #238 ), references = 1, size of lhs = 4:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V2,V3), P_difference-{F}(V4,V5,V1), pppp3-{F}(V4,V5,V3) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #250: exists( #18, #248 ), references = 1, size of lhs = 6:
% 5.56/5.77 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V3,V1), pppp3-{F}(V2,V3,V4), pppp1-{F}(V4,V5), pppp1-{F}(V5,V6), P_difference-{F}(V7,V6,V4) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #259: disj( #8, exists( #18, #214 ) ), references = 2, size of lhs = 2:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2) | pppp1-{T}(V0,V2)
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #276: exists( #9, #272 ), references = 2, size of lhs = 5:
% 5.56/5.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V3), pppp6-{F}(V3,V4), pppp1-{F}(V3,V5), P_difference-{F}(V5,V0,V4) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #283: exists( #18, #281 ), references = 1, size of lhs = 5:
% 5.56/5.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), P_difference-{F}(V3,V0,V4), pppp3-{F}(V2,V5,V1), P_difference-{F}(V5,V1,V4) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #285: exists( #18, #282 ), references = 1, size of lhs = 3:
% 5.56/5.77 pppp1-{F}(V0,V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V2,V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #289: exists( #15, #287 ), references = 1, size of lhs = 2:
% 5.56/5.77 pppp4-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #293: exists( #14, #291 ), references = 1, size of lhs = 1:
% 5.56/5.77 pppp5-{F}(V0) | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 #295: exists( #13, #292 ), references = 1, size of lhs = 0:
% 5.56/5.77 FALSE | FALSE
% 5.56/5.77 (used 0 times, uses = {})
% 5.56/5.77
% 5.56/5.77 number of learnt formulas = 57
% 5.56/5.77
% 5.56/5.77
% 5.56/5.77 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/5.77
% 5.56/5.77 randbase = 1
%------------------------------------------------------------------------------