TSTP Solution File: SET577+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:16:21 EDT 2022
% Result : Theorem 71.04s 71.21s
% Output : Refutation 71.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 01:45:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 71.04/71.21 GeoParameters:
% 71.04/71.21
% 71.04/71.21 tptp_input = 1
% 71.04/71.21 tptp_output = 0
% 71.04/71.21 nonempty = 1
% 71.04/71.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.04/71.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 71.04/71.21
% 71.04/71.21
% 71.04/71.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.04/71.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.04/71.21
% 71.04/71.21 RuleSystem INPUT:
% 71.04/71.21
% 71.04/71.21 Initial Rules:
% 71.04/71.21 #0: input, references = 12, size of lhs = 2:
% 71.04/71.21 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #1: input, references = 17, size of lhs = 2:
% 71.04/71.21 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #2: input, references = 6, size of lhs = 1:
% 71.04/71.21 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #3: input, references = 5, size of lhs = 2:
% 71.04/71.21 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #4: input, references = 15, size of lhs = 2:
% 71.04/71.21 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #5: input, references = 3, size of lhs = 1:
% 71.04/71.21 #-{F} V1 | pppp1-{T}(V1,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #6: input, references = 3, size of lhs = 2:
% 71.04/71.21 pppp1-{F}(V0,V1), V0 == V1 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #7: input, references = 3, size of lhs = 1:
% 71.04/71.21 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #8: input, references = 3, size of lhs = 1:
% 71.04/71.21 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #9: input, references = 3, size of lhs = 2:
% 71.04/71.21 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #10: input, references = 4, size of lhs = 3:
% 71.04/71.21 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #11: input, references = 5, size of lhs = 1:
% 71.04/71.21 subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #12: input, references = 3, size of lhs = 1:
% 71.04/71.21 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #13: input, references = 17, size of lhs = 2:
% 71.04/71.21 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #14: input, references = 19, size of lhs = 2:
% 71.04/71.21 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp10-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #15: input, references = 5, size of lhs = 1:
% 71.04/71.21 pppp10-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #16: input, references = 15, size of lhs = 2:
% 71.04/71.21 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #17: input, references = 5, size of lhs = 1:
% 71.04/71.21 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #18: input, references = 5, size of lhs = 1:
% 71.04/71.21 #-{F} V0 | subset-{T}(V0,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #19: input, references = 3, size of lhs = 1:
% 71.04/71.21 #-{F} V1 | pppp3-{T}(V1,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #20: input, references = 3, size of lhs = 2:
% 71.04/71.21 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #21: input, references = 3, size of lhs = 2:
% 71.04/71.21 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #22: input, references = 3, size of lhs = 2:
% 71.04/71.21 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #23: input, references = 4, size of lhs = 2:
% 71.04/71.21 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp11-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #24: input, references = 9, size of lhs = 1:
% 71.04/71.21 pppp11-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #25: input, references = 29, size of lhs = 3:
% 71.04/71.21 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #26: input, references = 9, size of lhs = 1:
% 71.04/71.21 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #27: input, references = 4, size of lhs = 0:
% 71.04/71.21 FALSE | EXISTS V0: pppp9-{T}(V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #28: input, references = 4, size of lhs = 1:
% 71.04/71.21 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #29: input, references = 5, size of lhs = 1:
% 71.04/71.21 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #30: input, references = 6, size of lhs = 2:
% 71.04/71.21 pppp7-{F}(V0,V3,V2), P_union-{F}(V2,V0,V3) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #31: input, references = 7, size of lhs = 3:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), P_union-{F}(V2,V0,V3), pppp4-{F}(V0,V2,V4) | member-{T}(V4,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #32: input, references = 22, size of lhs = 3:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), P_union-{F}(V2,V0,V3), member-{F}(V4,V1) | pppp4-{T}(V0,V2,V4)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #33: input, references = 7, size of lhs = 1:
% 71.04/71.21 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V1), member-{T}(V2,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #34: input, references = 5, size of lhs = 2:
% 71.04/71.21 #-{F} V0, member-{F}(V2,V1) | pppp4-{T}(V0,V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #35: input, references = 4, size of lhs = 2:
% 71.04/71.21 #-{F} V1, member-{F}(V2,V0) | pppp4-{T}(V0,V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #36: input, references = 17, size of lhs = 2:
% 71.04/71.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 number of initial rules = 37
% 71.04/71.21
% 71.04/71.21 Simplifiers:
% 71.04/71.21 #37: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #38: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #39: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #40: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #41: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V5), V2 == V5 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #42: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #43: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #44: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #45: unsound, references = 3, size of lhs = 3:
% 71.04/71.21 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 number of simplifiers = 9
% 71.04/71.21
% 71.04/71.21 Learnt:
% 71.04/71.21 #47: disj( #23, input ), references = 6, size of lhs = 3:
% 71.04/71.21 #-{F} V0, #-{F} V1, V0 == V1 | pppp11-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #51: disj( #26, #4+#1+#25 ), references = 5, size of lhs = 3:
% 71.04/71.21 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2), P_union-{F}(V4,V2,V3) | member-{T}(V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #54: disj( #14, #13+#25 ), references = 1, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2) | pppp10-{T}(V1,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #58: disj( #26, input ), references = 1, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp6-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #63: exists( #36, #61 ), references = 4, size of lhs = 4:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V1,V2), pppp7-{F}(V3,V2,V4), pppp4-{F}(V3,V4,V0) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #67: exists( #36, #10 ), references = 15, size of lhs = 1:
% 71.04/71.21 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #75: disj( #26, #13+#25 ), references = 4, size of lhs = 3:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp6-{F}(V2,V0,V1), pppp6-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #80: disj( #14, #75+#25 ), references = 1, size of lhs = 4:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp6-{F}(V0,V3,V2), pppp6-{F}(V0,V3,V4) | pppp10-{T}(V3,V4)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #90: disj( #26, input ), references = 1, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #99: exists( #36, #97 ), references = 2, size of lhs = 4:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp7-{F}(V3,V2,V4), pppp4-{F}(V3,V4,V0) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #105: disj( #2, input ), references = 5, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #125: exists( #24, #123 ), references = 2, size of lhs = 5:
% 71.04/71.21 pppp2-{F}(V0,V1), P_union-{F}(V2,V1,V3), P_union-{F}(V3,V0,V4), pppp11-{F}(V4,V3), P_union-{F}(V5,V3,V4) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #127: disj( #14, exists( #24, #123 ) ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp11-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V5,V1) | pppp10-{T}(V2,V5)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #142: exists( #24, #140 ), references = 1, size of lhs = 6:
% 71.04/71.21 pppp11-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V5,V1), pppp7-{F}(V2,V5,V6), P_union-{F}(V6,V2,V7) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #144: exists( #36, #141 ), references = 2, size of lhs = 5:
% 71.04/71.21 pppp11-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V5,V1), pppp7-{F}(V2,V5,V6) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #149: exists( #36, #147 ), references = 3, size of lhs = 2:
% 71.04/71.21 P_union-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V4) | P_union-{T}(V2,V3,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #159: disj( #26, #4+#1+#25 ), references = 1, size of lhs = 3:
% 71.04/71.21 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), P_union-{F}(V4,V1,V3) | member-{T}(V0,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #160: disj( #26, #34+#4+#1+#99 ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp6-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V4), pppp6-{F}(V0,V4,V5), P_union-{F}(V6,V4,V2) | member-{T}(V0,V5)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #167: exists( #15, #165 ), references = 1, size of lhs = 2:
% 71.04/71.21 pppp10-{F}(V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #169: disj( #14, exists( #15, #165 ) ), references = 3, size of lhs = 1:
% 71.04/71.21 P_union-{F}(V0,V1,V2) | pppp2-{T}(V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #172: exists( #29, #170 ), references = 1, size of lhs = 2:
% 71.04/71.21 pppp8-{F}(V0,V0), P_union-{F}(V1,V0,V0) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #177: exists( #24, #175 ), references = 1, size of lhs = 3:
% 71.04/71.21 P_union-{F}(V0,V0,V1), pppp11-{F}(V1,V0), P_union-{F}(V2,V0,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #180: exists( #36, #178 ), references = 2, size of lhs = 1:
% 71.04/71.21 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #185: disj( #33, input ), references = 9, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp4-{F}(V3,V2,V0) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #186: disj( #33, exists( #36, #61 ) ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp4-{F}(V0,V1,V2), pppp6-{F}(V2,V1,V3), pppp7-{F}(V4,V3,V5), pppp4-{F}(V4,V5,V2) | member-{T}(V2,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #187: disj( #33, exists( #36, #97 ) ), references = 5, size of lhs = 4:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3), pppp6-{F}(V3,V1,V4), pppp4-{F}(V5,V4,V3) | member-{T}(V3,V5)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #204: exists( #36, #202 ), references = 15, size of lhs = 2:
% 71.04/71.21 pppp2-{F}(V0,V1), P_union-{F}(V2,V1,V3) | P_union-{T}(V3,V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #208: disj( #14, #204+#67+#30 ), references = 1, size of lhs = 2:
% 71.04/71.21 pppp7-{F}(V0,V0,V1), P_union-{F}(V2,V3,V0) | pppp10-{T}(V1,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #222: exists( #24, #220 ), references = 1, size of lhs = 6:
% 71.04/71.21 pppp11-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V0), P_union-{F}(V4,V5,V1), pppp7-{F}(V6,V5,V3), P_union-{F}(V3,V6,V7) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #225: exists( #36, #223 ), references = 1, size of lhs = 5:
% 71.04/71.21 pppp11-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V0), pppp7-{F}(V4,V5,V3), P_union-{F}(V6,V5,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #229: exists( #36, #227 ), references = 2, size of lhs = 2:
% 71.04/71.21 pppp7-{F}(V0,V1,V2), P_union-{F}(V3,V1,V4) | P_union-{T}(V4,V2,V4)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #246: disj( #14, #204+#32+#185+#16 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V4,V1,V3), pppp5-{F}(V0,V5,V4), P_union-{F}(V6,V7,V3) | pppp10-{T}(V4,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #247: disj( #14, #204+#32+#185+#25 ), references = 1, size of lhs = 7:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V0,V3), pppp6-{F}(V0,V4,V3), pppp7-{F}(V4,V1,V5), pppp6-{F}(V0,V5,V2), P_union-{F}(V6,V7,V5) | pppp10-{T}(V4,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #249: mergings( V4 == V7; #245 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V1), pppp7-{F}(V3,V1,V4), pppp6-{F}(V0,V4,V2), P_union-{F}(V5,V6,V4) | pppp10-{T}(V3,V6)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #255: disj( #14, #204+#67+#32+#185+#16 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V4,V1,V3), pppp5-{F}(V0,V5,V4), P_union-{F}(V6,V7,V4) | pppp10-{T}(V3,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #264: exists( #36, #260 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V4,V1,V3), pppp5-{F}(V0,V5,V4) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #265: exists( #36, #261 ), references = 2, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V0,V3), pppp6-{F}(V0,V4,V3), pppp7-{F}(V4,V1,V5), pppp6-{F}(V0,V5,V2) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #295: mergings( V4 == V5; #291 ), references = 1, size of lhs = 4:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), pppp5-{F}(V0,V4,V3) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #297: mergings( V4 == V6; #292 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp6-{F}(V0,V1,V4), pppp7-{F}(V3,V1,V4) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #324: disj( #14, #204+#67+#32+#185+#3+#1+#25 ), references = 1, size of lhs = 7:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V0,V3), pppp6-{F}(V0,V4,V2), pppp6-{F}(V0,V4,V3), pppp7-{F}(V5,V1,V4), P_union-{F}(V6,V7,V4) | pppp10-{T}(V5,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #326: mergings( V4 == V7; #323 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp6-{F}(V0,V3,V1), pppp7-{F}(V4,V1,V3), P_union-{F}(V5,V6,V3) | pppp10-{T}(V4,V6)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #345: disj( #33, input ), references = 3, size of lhs = 2:
% 71.04/71.21 pppp4-{F}(V0,V1,V2), pppp5-{F}(V2,V3,V1) | member-{T}(V2,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #361: disj( #14, #204+#67+#32+#344+#16 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3), pppp7-{F}(V4,V1,V3), pppp5-{F}(V0,V5,V4), P_union-{F}(V6,V7,V4) | pppp10-{T}(V3,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #362: disj( #14, #204+#67+#32+#344+#25 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V3,V1,V4), pppp5-{F}(V0,V5,V4), P_union-{F}(V6,V7,V3) | pppp10-{T}(V4,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #373: exists( #36, #367 ), references = 1, size of lhs = 4:
% 71.04/71.21 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3), pppp7-{F}(V4,V1,V3), pppp5-{F}(V0,V5,V4) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #374: exists( #36, #368 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp7-{F}(V3,V1,V4), pppp5-{F}(V0,V5,V4) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #394: mergings( V3 == V7; #391 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V2,V3), pppp6-{F}(V0,V1,V4), pppp7-{F}(V3,V1,V4), P_union-{F}(V5,V6,V3) | pppp10-{T}(V4,V6)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #404: mergings( V4 == V6; #401 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V2,V3), pppp6-{F}(V0,V1,V4), pppp7-{F}(V3,V1,V4) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #420: disj( #14, #13+#25 ), references = 1, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V2,V3) | pppp10-{T}(V1,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #421: disj( #14, #13+#265 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V0,V3), pppp6-{F}(V0,V4,V3), pppp7-{F}(V5,V2,V4), pppp6-{F}(V0,V5,V6) | pppp10-{T}(V1,V6)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #443: disj( #33, input ), references = 1, size of lhs = 2:
% 71.04/71.21 pppp4-{F}(V0,V1,V2), pppp5-{F}(V2,V3,V0) | member-{T}(V2,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #444: disj( #33, input ), references = 1, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp4-{F}(V2,V3,V0) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #445: disj( #33, exists( #36, #61 ) ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp4-{F}(V0,V1,V2), pppp6-{F}(V2,V0,V3), pppp7-{F}(V4,V3,V5), pppp4-{F}(V4,V5,V2) | member-{T}(V2,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #464: disj( #14, #204+#67+#32+#440+#13+#16 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3), pppp7-{F}(V3,V1,V4), pppp5-{F}(V0,V5,V6), P_union-{F}(V7,V6,V3) | pppp10-{T}(V4,V6)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #465: disj( #14, #204+#67+#32+#440+#13+#25 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), P_union-{F}(V4,V3,V5), pppp7-{F}(V5,V1,V6), pppp5-{F}(V0,V7,V5) | pppp10-{T}(V6,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #468: disj( #2, input ), references = 4, size of lhs = 3:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp0-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #483: disj( #14, #13+#0+#468+#16 ), references = 1, size of lhs = 5:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), pppp5-{F}(V0,V4,V5), P_union-{F}(V5,V3,V6) | pppp10-{T}(V1,V6)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #489: disj( #26, input ), references = 1, size of lhs = 2:
% 71.04/71.21 pppp5-{F}(V0,V1,V2), pppp6-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #513: disj( #14, #13+#0+#468+#4+#1+#25 ), references = 1, size of lhs = 7:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V0,V3), pppp6-{F}(V0,V3,V4), pppp6-{F}(V0,V5,V2), P_union-{F}(V6,V5,V7), P_union-{F}(V8,V6,V4) | pppp10-{T}(V1,V7)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #514: disj( #14, #13+#0+#468+#4+#1+#16 ), references = 1, size of lhs = 6:
% 71.04/71.21 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2), P_union-{F}(V4,V3,V5), P_union-{F}(V6,V4,V7), pppp5-{F}(V0,V8,V7) | pppp10-{T}(V1,V5)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #538: disj( #2, #13+#25 ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp0-{F}(V2,V0,V3), pppp6-{F}(V2,V1,V4), member-{F}(V2,V4) | member-{T}(V2,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #539: disj( #2, #13+#16 ), references = 2, size of lhs = 3:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp0-{F}(V2,V0,V3), pppp5-{F}(V2,V4,V1) | member-{T}(V2,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #545: exists( #24, #543 ), references = 1, size of lhs = 5:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp11-{F}(V1,V2), pppp2-{F}(V1,V2), P_union-{F}(V0,V3,V2), pppp2-{F}(V3,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #547: disj( #14, exists( #24, #543 ) ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp11-{F}(V1,V2), P_union-{F}(V0,V3,V2), pppp2-{F}(V3,V1) | pppp10-{T}(V1,V2)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #573: exists( #15, #571 ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), P_union-{F}(V0,V2,V3), pppp10-{F}(V3,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #575: disj( #14, exists( #15, #571 ) ), references = 2, size of lhs = 3:
% 71.04/71.21 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), P_union-{F}(V0,V2,V3) | pppp2-{T}(V3,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #635: disj( #33, #4+#1+#25 ), references = 1, size of lhs = 4:
% 71.04/71.21 member-{F}(V0,V1), pppp6-{F}(V0,V2,V1), pppp4-{F}(V3,V4,V0), P_union-{F}(V5,V4,V2) | member-{T}(V0,V3)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #636: disj( #33, #4+#1+#63 ), references = 1, size of lhs = 5:
% 71.04/71.21 pppp4-{F}(V0,V1,V2), P_union-{F}(V3,V1,V4), pppp6-{F}(V2,V4,V5), pppp7-{F}(V6,V5,V7), pppp4-{F}(V6,V7,V2) | member-{T}(V2,V0)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #649: exists( #24, #645 ), references = 2, size of lhs = 6:
% 71.04/71.21 pppp11-{F}(V0,V1), pppp2-{F}(V0,V1), pppp7-{F}(V2,V1,V3), P_union-{F}(V3,V2,V4), P_union-{F}(V5,V3,V0), P_union-{F}(V6,V2,V0) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #664: exists( #36, #662 ), references = 1, size of lhs = 5:
% 71.04/71.21 pppp2-{F}(V0,V0), pppp2-{F}(V0,V1), pppp7-{F}(V0,V1,V2), pppp2-{F}(V2,V2), pppp2-{F}(V2,V1) | P_union-{T}(V2,V0,V1)
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #673: exists( #29, #671 ), references = 1, size of lhs = 4:
% 71.04/71.21 pppp2-{F}(V0,V0), pppp8-{F}(V1,V0), P_union-{F}(V2,V1,V1), P_union-{F}(V3,V1,V1) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #677: exists( #28, #675 ), references = 1, size of lhs = 3:
% 71.04/71.21 pppp9-{F}(V0), P_union-{F}(V1,V0,V0), P_union-{F}(V2,V0,V0) | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 #680: exists( #27, #678 ), references = 1, size of lhs = 0:
% 71.04/71.21 FALSE | FALSE
% 71.04/71.21 (used 0 times, uses = {})
% 71.04/71.21
% 71.04/71.21 number of learnt formulas = 73
% 71.04/71.21
% 71.04/71.21
% 71.04/71.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.04/71.21
% 71.04/71.21 randbase = 1
%------------------------------------------------------------------------------