TSTP Solution File: SET637+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET637+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:16:31 EDT 2022
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET637+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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 02:53:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/0.78 GeoParameters:
% 0.61/0.78
% 0.61/0.78 tptp_input = 1
% 0.61/0.78 tptp_output = 0
% 0.61/0.78 nonempty = 1
% 0.61/0.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.61/0.78
% 0.61/0.78
% 0.61/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78
% 0.61/0.78 RuleSystem INPUT:
% 0.61/0.78
% 0.61/0.78 Initial Rules:
% 0.61/0.78 #0: input, references = 7, size of lhs = 2:
% 0.61/0.78 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #1: input, references = 7, size of lhs = 2:
% 0.61/0.78 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #2: input, references = 6, size of lhs = 1:
% 0.61/0.78 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #3: input, references = 5, size of lhs = 1:
% 0.61/0.78 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #4: input, references = 7, size of lhs = 2:
% 0.61/0.78 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #5: input, references = 7, size of lhs = 1:
% 0.61/0.78 intersect-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #6: input, references = 7, size of lhs = 1:
% 0.61/0.78 pppp1-{F}(V0,V1) | intersect-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #7: input, references = 5, size of lhs = 1:
% 0.61/0.78 pppp1-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #8: input, references = 8, size of lhs = 2:
% 0.61/0.78 member-{F}(V2,V0), member-{F}(V2,V1) | pppp1-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #9: input, references = 7, size of lhs = 1:
% 0.61/0.78 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #10: input, references = 5, size of lhs = 1:
% 0.61/0.78 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #11: input, references = 6, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #12: input, references = 3, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), #-{F} V2 | pppp2-{T}(V2,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #13: input, references = 3, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V2 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #14: input, references = 3, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #15: input, references = 3, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #16: input, references = 4, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp9-{T}(V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #17: input, references = 7, size of lhs = 1:
% 0.61/0.78 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #18: input, references = 5, size of lhs = 3:
% 0.61/0.78 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #19: input, references = 5, size of lhs = 1:
% 0.61/0.78 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #20: input, references = 6, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), not_equal-{F}(V2,V2) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #21: input, references = 5, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | not_equal-{T}(V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #22: input, references = 4, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #23: input, references = 7, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), intersect-{F}(V1,V2) | intersect-{T}(V2,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #24: input, references = 3, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #25: input, references = 3, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #26: input, references = 7, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #27: input, references = 6, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp10-{T}(V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #28: input, references = 4, size of lhs = 1:
% 0.61/0.78 pppp10-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #29: input, references = 4, size of lhs = 1:
% 0.61/0.78 pppp6-{F}(V0,V1) | member-{T}(V1,V0)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #30: input, references = 4, size of lhs = 1:
% 0.61/0.78 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #31: input, references = 5, size of lhs = 1:
% 0.61/0.78 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V1,V2,V0)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #32: input, references = 6, size of lhs = 4:
% 0.61/0.78 pppp7-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V3), not_equal-{F}(V3,V2), intersect-{F}(V0,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #33: input, references = 5, size of lhs = 2:
% 0.61/0.78 pppp7-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V3) | intersect-{T}(V0,V1), not_equal-{T}(V3,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #34: input, references = 7, size of lhs = 2:
% 0.61/0.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #35: input, references = 4, size of lhs = 0:
% 0.61/0.78 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 number of initial rules = 36
% 0.61/0.78
% 0.61/0.78 Simplifiers:
% 0.61/0.78 #36: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #37: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #38: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #39: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #40: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #41: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #42: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #43: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #44: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #45: unsound, references = 3, size of lhs = 3:
% 0.61/0.78 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 number of simplifiers = 10
% 0.61/0.78
% 0.61/0.78 Learnt:
% 0.61/0.78 #48: mergings( V0 == V3; #46 ), references = 4, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp9-{T}(V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #51: disj( #19, input ), references = 7, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V0) | member-{T}(V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #52: disj( #19, input ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp5-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #55: mergings( V0 == V2; #53 ), references = 1, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp10-{T}(V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #59: exists( #28, #56 ), references = 1, size of lhs = 2:
% 0.61/0.78 pppp10-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #62: mergings( V0 == V1; #60 ), references = 1, size of lhs = 1:
% 0.61/0.78 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #81: exists( #17, #76 ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp9-{F}(V1,V0), P_intersection-{F}(V0,V2,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #84: mergings( V1 == V3; #80 ), references = 1, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp9-{F}(V2,V0), P_intersection-{F}(V1,V3,V2) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #92: mergings( V3 == V0; #88 ), references = 2, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), #-{F} V1 | P_intersection-{T}(V0,V1,V0)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #97: mergings( V3 == V4, V4 == V5; #90 ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), #-{F} V2 | P_intersection-{T}(V1,V2,V0)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #102: exists( #7, #98 ), references = 1, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp1-{F}(V1,V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #103: exists( #7, #99 ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp1-{F}(V2,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #111: mergings( V4 == V0; #108 ), references = 2, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp7-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V3) | not_equal-{T}(V3,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #113: mergings( V4 == V5; #109 ), references = 1, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp7-{F}(V1,V2,V3), P_intersection-{F}(V1,V2,V4) | not_equal-{T}(V4,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #119: mergings( V0 == V2; #117 ), references = 1, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp8-{F}(V0,V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #125: exists( #34, #123 ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), intersect-{F}(V1,V2), pppp7-{F}(V1,V2,V3) | P_intersection-{T}(V1,V2,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #148: mergings( V1 == V3; #145 ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp9-{F}(V1,V0), pppp7-{F}(V1,V1,V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #153: mergings( V1 == V3, V3 == V4; #146 ), references = 1, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), pppp9-{F}(V1,V0), pppp3-{F}(V2), pppp7-{F}(V1,V1,V2) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #155: exists( #34, #22 ), references = 2, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3) | P_intersection-{T}(V2,V1,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #158: disj( #19, input ), references = 1, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp5-{F}(V1,V0,V2) | member-{T}(V1,V2)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #159: disj( #19, input ), references = 2, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp5-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #166: exists( #17, #164 ), references = 1, size of lhs = 6:
% 0.61/0.78 P_empty_set-{F}(V0), pppp9-{F}(V1,V0), P_intersection-{F}(V2,V3,V1), pppp7-{F}(V3,V1,V4), P_intersection-{F}(V3,V1,V5), not_equal-{F}(V5,V4) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #218: exists( #7, #214 ), references = 1, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_intersection-{F}(V2,V1,V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #219: exists( #7, #215 ), references = 2, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp1-{F}(V2,V3), P_intersection-{F}(V3,V2,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #228: mergings( V5 == V3, V4 == V3; #224 ), references = 3, size of lhs = 3:
% 0.61/0.78 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V0), pppp7-{F}(V1,V2,V3) | not_equal-{T}(V0,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #231: mergings( V6 == V3, V4 == V5; #225 ), references = 1, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), pppp3-{F}(V1), P_intersection-{F}(V2,V3,V1), pppp7-{F}(V2,V3,V4) | not_equal-{T}(V1,V4)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #242: mergings( V0 == V2, V2 == V3; #239 ), references = 1, size of lhs = 4:
% 0.61/0.78 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp5-{F}(V1,V3,V4), P_intersection-{F}(V4,V2,V3) | pppp10-{T}(V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #256: exists( #17, #254 ), references = 1, size of lhs = 6:
% 0.61/0.78 P_empty_set-{F}(V0), pppp9-{F}(V1,V0), P_intersection-{F}(V2,V3,V1), pppp7-{F}(V3,V2,V4), P_intersection-{F}(V3,V2,V5), not_equal-{F}(V5,V4) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #264: mergings( V3 == V4, V4 == V5, V5 == V6; #260 ), references = 1, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp7-{F}(V1,V2,V3) | P_intersection-{T}(V1,V2,V0), P_intersection-{T}(V1,V2,V3)
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #280: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V0, V0 == V7; #274 ), references = 1, size of lhs = 2:
% 0.61/0.78 P_empty_set-{F}(V0), pppp8-{F}(V0,V1) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #287: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V0, V0 == V6; #281 ), references = 1, size of lhs = 1:
% 0.61/0.78 P_empty_set-{F}(V0) | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 #289: exists( #35, #281 ), references = 1, size of lhs = 0:
% 0.61/0.78 FALSE | FALSE
% 0.61/0.78 (used 0 times, uses = {})
% 0.61/0.78
% 0.61/0.78 number of learnt formulas = 32
% 0.61/0.78
% 0.61/0.78
% 0.61/0.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78
% 0.61/0.78 randbase = 1
%------------------------------------------------------------------------------