TSTP Solution File: SET009+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 54.54s 54.76s
% Output : Refutation 54.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 02:53:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 54.54/54.76 GeoParameters:
% 54.54/54.76
% 54.54/54.76 tptp_input = 1
% 54.54/54.76 tptp_output = 0
% 54.54/54.76 nonempty = 1
% 54.54/54.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.54/54.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 54.54/54.76
% 54.54/54.76
% 54.54/54.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.54/54.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.54/54.76
% 54.54/54.76 RuleSystem INPUT:
% 54.54/54.76
% 54.54/54.76 Initial Rules:
% 54.54/54.76 #0: input, references = 12, size of lhs = 2:
% 54.54/54.76 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 54.54/54.76 (used 0 times, uses = {})
% 54.54/54.76
% 54.54/54.76 #1: input, references = 14, size of lhs = 2:
% 54.54/54.76 P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 54.54/54.76 (used 0 times, uses = {})
% 54.54/54.76
% 54.54/54.76 #2: input, references = 8, size of lhs = 1:
% 54.54/54.76 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 54.54/54.76 (used 0 times, uses = {})
% 54.54/54.76
% 54.54/54.76 #3: input, references = 16, size of lhs = 2:
% 54.54/54.76 pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 54.54/54.76 (used 0 times, uses = {})
% 54.54/54.76
% 54.54/54.76 #4: input, references = 7, size of lhs = 2:
% 54.54/54.76 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #5: input, references = 10, size of lhs = 1:
% 54.54/54.77 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #6: input, references = 5, size of lhs = 1:
% 54.54/54.77 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #7: input, references = 15, size of lhs = 2:
% 54.54/54.77 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #8: input, references = 18, size of lhs = 2:
% 54.54/54.77 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp6-{T}(V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #9: input, references = 13, size of lhs = 1:
% 54.54/54.77 pppp6-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #10: input, references = 10, size of lhs = 2:
% 54.54/54.77 pppp2-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #11: input, references = 21, size of lhs = 1:
% 54.54/54.77 pppp2-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #12: input, references = 10, size of lhs = 1:
% 54.54/54.77 #-{F} V0 | subset-{T}(V0,V0)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #13: input, references = 4, size of lhs = 0:
% 54.54/54.77 FALSE | EXISTS V0: pppp5-{T}(V0)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #14: input, references = 5, size of lhs = 1:
% 54.54/54.77 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #15: input, references = 7, size of lhs = 1:
% 54.54/54.77 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #16: input, references = 4, size of lhs = 1:
% 54.54/54.77 pppp4-{F}(V0,V1) | subset-{T}(V0,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #17: input, references = 6, size of lhs = 4:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V0,V4), subset-{F}(V3,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #18: input, references = 20, size of lhs = 2:
% 54.54/54.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 number of initial rules = 19
% 54.54/54.77
% 54.54/54.77 Simplifiers:
% 54.54/54.77 #19: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #20: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #21: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #22: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #23: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #24: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #25: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #26: unsound, references = 3, size of lhs = 3:
% 54.54/54.77 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 number of simplifiers = 8
% 54.54/54.77
% 54.54/54.77 Learnt:
% 54.54/54.77 #29: exists( #18, #27 ), references = 1, size of lhs = 1:
% 54.54/54.77 pppp3-{F}(V0,V0,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #31: exists( #15, #28 ), references = 1, size of lhs = 1:
% 54.54/54.77 pppp4-{F}(V0,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #35: disj( #4, #7+#10 ), references = 13, size of lhs = 3:
% 54.54/54.77 member-{F}(V0,V1), pppp1-{F}(V2,V3), pppp2-{F}(V0,V4,V3) | pppp0-{T}(V0,V1,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #46: disj( #4, #0+#3 ), references = 8, size of lhs = 3:
% 54.54/54.77 member-{F}(V0,V1), member-{F}(V0,V2), P_difference-{F}(V3,V2,V4) | pppp0-{T}(V0,V1,V4)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #50: disj( #8, #7+#3 ), references = 3, size of lhs = 2:
% 54.54/54.77 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp6-{T}(V1,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #64: exists( #9, #62 ), references = 2, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), pppp6-{F}(V1,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #66: disj( #8, exists( #9, #62 ) ), references = 5, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #78: exists( #9, #76 ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V0,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #80: disj( #8, exists( #9, #76 ) ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V1), #-{F} V3 | pppp1-{T}(V0,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #83: disj( #8, #6+#17 ), references = 5, size of lhs = 3:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V0,V4) | pppp6-{T}(V3,V4)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #95: exists( #9, #92 ), references = 2, size of lhs = 2:
% 54.54/54.77 pppp6-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #96: exists( #9, #91 ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp6-{F}(V2,V1), P_difference-{F}(V0,V3,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #101: exists( #18, #97 ), references = 1, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V1,V0), pppp3-{F}(V1,V2,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #102: exists( #18, #98 ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V0,V2,V1), pppp3-{F}(V2,V3,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #105: exists( #18, #103 ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V1), pppp3-{F}(V3,V4,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #120: exists( #9, #114 ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), pppp1-{F}(V2,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #121: exists( #9, #115 ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V3,V2), pppp1-{F}(V4,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #122: exists( #9, #116 ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), pppp1-{F}(V3,V1), P_difference-{F}(V3,V4,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #126: disj( #8, exists( #9, #114 ) ), references = 4, size of lhs = 2:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2) | pppp1-{T}(V0,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #127: disj( #8, exists( #9, #115 ) ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V2,V1), pppp1-{F}(V3,V4) | pppp1-{T}(V0,V4)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #128: disj( #8, exists( #9, #116 ) ), references = 5, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), P_difference-{F}(V2,V4,V1) | pppp1-{T}(V0,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #132: exists( #18, #130 ), references = 1, size of lhs = 3:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), pppp1-{F}(V2,V1), pppp3-{F}(V3,V4,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #134: disj( #8, exists( #18, #130 ) ), references = 1, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), pppp3-{F}(V2,V3,V4) | pppp6-{T}(V4,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #138: exists( #18, #136 ), references = 1, size of lhs = 3:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V3,V1), pppp3-{F}(V4,V3,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #140: exists( #18, #137 ), references = 1, size of lhs = 1:
% 54.54/54.77 pppp3-{F}(V0,V1,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #142: disj( #8, exists( #9, #114 ) ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1) | pppp6-{T}(V0,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #149: disj( #8, exists( #18, #98 ) ), references = 3, size of lhs = 2:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), P_difference-{F}(V2,V0,V3) | pppp6-{T}(V2,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #150: disj( #8, exists( #9, #91 ) ), references = 2, size of lhs = 2:
% 54.54/54.77 pppp6-{F}(V0,V1), P_difference-{F}(V2,V3,V0) | pppp6-{T}(V2,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #151: disj( #8, exists( #9, #114 ) ), references = 3, size of lhs = 2:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2) | pppp6-{T}(V2,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #164: exists( #9, #161 ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp6-{F}(V0,V1), P_difference-{F}(V0,V2,V1), P_difference-{F}(V3,V0,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #165: exists( #9, #160 ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V3,V2), P_difference-{F}(V4,V0,V3) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #172: exists( #18, #166 ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp3-{F}(V0,V1,V2), P_difference-{F}(V3,V2,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #184: exists( #9, #181 ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V2,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #185: exists( #9, #180 ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V2,V3), pppp1-{F}(V3,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #194: exists( #18, #189 ), references = 1, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), pppp3-{F}(V1,V2,V3) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #197: exists( #15, #192 ), references = 1, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), pppp4-{F}(V1,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #200: exists( #14, #195 ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp5-{F}(V0), P_difference-{F}(V1,V1,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #211: exists( #18, #206 ), references = 1, size of lhs = 3:
% 54.54/54.77 P_difference-{F}(V0,V0,V1), pppp1-{F}(V2,V1), pppp3-{F}(V2,V3,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #214: exists( #15, #209 ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp4-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V3,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #222: disj( #8, #126+#78 ), references = 2, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp6-{F}(V0,V2), P_difference-{F}(V3,V0,V4) | pppp6-{T}(V1,V4)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #233: exists( #18, #228 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V0,V2,V3), pppp1-{F}(V4,V3), pppp6-{F}(V4,V5), P_difference-{F}(V6,V1,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #242: exists( #18, #238 ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp3-{F}(V2,V1,V0), P_difference-{F}(V0,V2,V3) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #245: exists( #18, #240 ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp3-{F}(V2,V1,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #249: disj( #8, exists( #9, #76 ) ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp6-{F}(V0,V1), P_difference-{F}(V2,V0,V3) | pppp6-{T}(V0,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #250: disj( #8, exists( #9, #116 ) ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V2,V3,V4) | pppp6-{T}(V0,V4)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #251: disj( #8, exists( #18, #228 ) ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V0,V2,V3), P_difference-{F}(V4,V1,V5), pppp6-{F}(V5,V6) | pppp6-{T}(V5,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #266: exists( #9, #264 ), references = 2, size of lhs = 5:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp6-{F}(V2,V1), pppp1-{F}(V2,V3), P_difference-{F}(V3,V0,V4), P_difference-{F}(V5,V4,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #272: exists( #18, #270 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), P_difference-{F}(V3,V0,V4), P_difference-{F}(V2,V5,V1), pppp3-{F}(V5,V4,V2) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #278: disj( #8, exists( #9, #180 ) ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V0,V2,V3) | pppp6-{T}(V3,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #282: disj( #8, exists( #9, #181 ) ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #283: disj( #8, exists( #9, #180 ) ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V3,V0,V2) | pppp1-{T}(V3,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #284: disj( #8, exists( #9, #161 ) ), references = 2, size of lhs = 2:
% 54.54/54.77 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V2,V3) | pppp1-{T}(V1,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #296: exists( #18, #294 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp6-{F}(V0,V2), pppp1-{F}(V3,V2), P_difference-{F}(V1,V3,V4), P_difference-{F}(V5,V0,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #315: exists( #9, #312 ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), P_difference-{F}(V2,V3,V0), P_difference-{F}(V2,V4,V1), P_difference-{F}(V5,V0,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #316: exists( #9, #311 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V2,V1), P_difference-{F}(V3,V4,V0), P_difference-{F}(V3,V5,V2), P_difference-{F}(V6,V0,V5) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #321: disj( #8, exists( #18, #270 ) ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V1,V2,V3), pppp3-{F}(V4,V3,V0), P_difference-{F}(V0,V4,V5) | pppp6-{T}(V2,V5)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #322: disj( #8, exists( #9, #264 ) ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V2,V3,V4), P_difference-{F}(V5,V4,V0) | pppp6-{T}(V3,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #330: disj( #8, exists( #9, #264 ) ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), P_difference-{F}(V3,V0,V4), P_difference-{F}(V5,V4,V2) | pppp1-{T}(V2,V1)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #350: exists( #9, #347 ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V0,V3) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #351: exists( #9, #346 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp6-{F}(V0,V1), pppp1-{F}(V0,V2), pppp1-{F}(V3,V1), P_difference-{F}(V2,V4,V3), P_difference-{F}(V5,V0,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #358: exists( #18, #352 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), P_difference-{F}(V2,V0,V3), pppp3-{F}(V4,V3,V1), P_difference-{F}(V5,V0,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #362: disj( #8, exists( #9, #347 ) ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V3), P_difference-{F}(V1,V3,V4) | pppp1-{T}(V0,V4)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #363: disj( #8, exists( #9, #346 ) ), references = 1, size of lhs = 4:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V0,V3), P_difference-{F}(V1,V3,V4), pppp1-{F}(V4,V5) | pppp1-{T}(V0,V5)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #364: disj( #8, exists( #9, #312 ) ), references = 1, size of lhs = 3:
% 54.54/54.77 P_difference-{F}(V0,V1,V2), P_difference-{F}(V3,V2,V4), P_difference-{F}(V0,V4,V5) | pppp1-{T}(V2,V5)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #370: disj( #4, input ), references = 6, size of lhs = 2:
% 54.54/54.77 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #376: disj( #4, #7+#3 ), references = 3, size of lhs = 3:
% 54.54/54.77 member-{F}(V0,V1), pppp1-{F}(V2,V3), pppp0-{F}(V0,V4,V3) | pppp0-{T}(V0,V1,V2)
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #399: exists( #9, #396 ), references = 1, size of lhs = 5:
% 54.54/54.77 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
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #400: exists( #9, #395 ), references = 1, size of lhs = 6:
% 54.54/54.77 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V3), pppp6-{F}(V3,V4), pppp1-{F}(V3,V5), P_difference-{F}(V5,V0,V6), pppp1-{F}(V6,V4) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #411: exists( #18, #407 ), references = 1, size of lhs = 5:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp3-{F}(V2,V1,V3), pppp1-{F}(V3,V4), P_difference-{F}(V4,V0,V5), P_difference-{F}(V3,V2,V5) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #412: exists( #18, #408 ), references = 1, size of lhs = 6:
% 54.54/54.77 pppp1-{F}(V0,V1), pppp3-{F}(V2,V1,V3), pppp1-{F}(V3,V4), P_difference-{F}(V4,V0,V5), pppp1-{F}(V5,V6), P_difference-{F}(V3,V2,V6) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #414: exists( #18, #409 ), references = 1, size of lhs = 3:
% 54.54/54.77 pppp1-{F}(V0,V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V2,V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #418: exists( #15, #416 ), references = 1, size of lhs = 2:
% 54.54/54.77 pppp4-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #422: exists( #14, #420 ), references = 1, size of lhs = 1:
% 54.54/54.77 pppp5-{F}(V0) | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 #424: exists( #13, #421 ), references = 1, size of lhs = 0:
% 54.54/54.77 FALSE | FALSE
% 54.54/54.77 (used 0 times, uses = {})
% 54.54/54.77
% 54.54/54.77 number of learnt formulas = 74
% 54.54/54.77
% 54.54/54.77
% 54.54/54.77 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.54/54.77
% 54.54/54.77 randbase = 1
%------------------------------------------------------------------------------