TSTP Solution File: SET014+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET014+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:15:33 EDT 2022
% Result : Theorem 3.95s 4.12s
% Output : Refutation 3.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET014+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 02:08:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.95/4.12 GeoParameters:
% 3.95/4.12
% 3.95/4.12 tptp_input = 1
% 3.95/4.12 tptp_output = 0
% 3.95/4.12 nonempty = 1
% 3.95/4.12 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.95/4.12 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.95/4.12
% 3.95/4.12
% 3.95/4.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.95/4.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.95/4.12
% 3.95/4.12 RuleSystem INPUT:
% 3.95/4.12
% 3.95/4.12 Initial Rules:
% 3.95/4.12 #0: input, references = 8, size of lhs = 2:
% 3.95/4.12 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #1: input, references = 7, size of lhs = 2:
% 3.95/4.12 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #2: input, references = 7, size of lhs = 1:
% 3.95/4.12 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #3: input, references = 4, size of lhs = 2:
% 3.95/4.12 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #4: input, references = 6, size of lhs = 2:
% 3.95/4.12 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #5: input, references = 7, size of lhs = 1:
% 3.95/4.12 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #6: input, references = 4, size of lhs = 1:
% 3.95/4.12 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #7: input, references = 10, size of lhs = 2:
% 3.95/4.12 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #8: input, references = 8, size of lhs = 2:
% 3.95/4.12 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #9: input, references = 4, size of lhs = 1:
% 3.95/4.12 pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #10: input, references = 6, size of lhs = 2:
% 3.95/4.12 pppp3-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #11: input, references = 4, size of lhs = 1:
% 3.95/4.12 pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #12: input, references = 4, size of lhs = 3:
% 3.95/4.12 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #13: input, references = 3, size of lhs = 1:
% 3.95/4.12 #-{F} V0 | subset-{T}(V0,V0)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #14: input, references = 3, size of lhs = 1:
% 3.95/4.12 #-{F} V1 | pppp2-{T}(V1,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #15: input, references = 3, size of lhs = 2:
% 3.95/4.12 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #16: input, references = 3, size of lhs = 2:
% 3.95/4.12 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #17: input, references = 3, size of lhs = 2:
% 3.95/4.12 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #18: input, references = 4, size of lhs = 2:
% 3.95/4.12 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #19: input, references = 9, size of lhs = 1:
% 3.95/4.12 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #20: input, references = 18, size of lhs = 3:
% 3.95/4.12 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #21: input, references = 8, size of lhs = 1:
% 3.95/4.12 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #22: input, references = 4, size of lhs = 0:
% 3.95/4.12 FALSE | EXISTS V0: pppp7-{T}(V0)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #23: input, references = 4, size of lhs = 1:
% 3.95/4.12 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #24: input, references = 5, size of lhs = 1:
% 3.95/4.12 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #25: input, references = 4, size of lhs = 1:
% 3.95/4.12 pppp6-{F}(V0,V1) | subset-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #26: input, references = 5, size of lhs = 3:
% 3.95/4.12 pppp5-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), subset-{F}(V3,V2) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #27: input, references = 6, size of lhs = 2:
% 3.95/4.12 pppp5-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3) | subset-{T}(V1,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #28: input, references = 10, size of lhs = 2:
% 3.95/4.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 number of initial rules = 29
% 3.95/4.12
% 3.95/4.12 Simplifiers:
% 3.95/4.12 #29: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #30: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #31: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #32: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #33: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V2), V0 == V3 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #34: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #35: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #36: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #37: unsound, references = 3, size of lhs = 3:
% 3.95/4.12 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 number of simplifiers = 9
% 3.95/4.12
% 3.95/4.12 Learnt:
% 3.95/4.12 #39: disj( #18, input ), references = 4, size of lhs = 3:
% 3.95/4.12 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #42: disj( #21, #7+#20 ), references = 5, size of lhs = 3:
% 3.95/4.12 pppp1-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #44: exists( #28, #12 ), references = 8, size of lhs = 1:
% 3.95/4.12 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #49: disj( #21, #4+#1+#20 ), references = 3, size of lhs = 3:
% 3.95/4.12 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3), P_union-{F}(V4,V1,V3) | member-{T}(V0,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #55: exists( #28, #53 ), references = 1, size of lhs = 4:
% 3.95/4.12 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V3,V2), pppp5-{F}(V4,V1,V3) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #70: exists( #28, #66 ), references = 1, size of lhs = 5:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3), pppp5-{F}(V5,V3,V4) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #71: exists( #28, #67 ), references = 1, size of lhs = 4:
% 3.95/4.12 pppp3-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3), pppp5-{F}(V5,V3,V4) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #79: disj( #21, exists( #28, #53 ) ), references = 1, size of lhs = 4:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V3,V4), pppp5-{F}(V5,V3,V2) | member-{T}(V0,V4)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #80: disj( #21, input ), references = 1, size of lhs = 3:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #85: disj( #2, exists( #28, #53 ) ), references = 2, size of lhs = 4:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp0-{F}(V0,V3,V4), pppp5-{F}(V5,V3,V2) | member-{T}(V0,V4)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #86: disj( #2, input ), references = 4, size of lhs = 3:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #132: exists( #19, #130 ), references = 1, size of lhs = 4:
% 3.95/4.12 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V3,V0,V1), pppp5-{F}(V4,V3,V0) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #136: exists( #28, #134 ), references = 2, size of lhs = 1:
% 3.95/4.12 pppp5-{F}(V0,V1,V2) | P_union-{T}(V2,V1,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #140: exists( #24, #138 ), references = 1, size of lhs = 2:
% 3.95/4.12 pppp6-{F}(V0,V0), subset-{F}(V0,V0) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #144: disj( #21, #4+#1+#20 ), references = 6, size of lhs = 3:
% 3.95/4.12 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), P_union-{F}(V4,V2,V3) | member-{T}(V0,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #152: exists( #19, #150 ), references = 1, size of lhs = 3:
% 3.95/4.12 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V3,V1,V0) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #157: exists( #19, #155 ), references = 1, size of lhs = 3:
% 3.95/4.12 pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_union-{F}(V2,V1,V0) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #164: disj( #8, #42+#20 ), references = 1, size of lhs = 4:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3) | pppp8-{T}(V3,V4)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #181: exists( #19, #179 ), references = 1, size of lhs = 3:
% 3.95/4.12 P_union-{F}(V0,V0,V1), pppp9-{F}(V1,V0), P_union-{F}(V2,V0,V1) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #184: exists( #28, #182 ), references = 1, size of lhs = 1:
% 3.95/4.12 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #187: disj( #21, #7+#20 ), references = 1, size of lhs = 3:
% 3.95/4.12 pppp1-{F}(V0,V1), pppp4-{F}(V2,V0,V1), pppp4-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #190: disj( #8, #42+#20 ), references = 1, size of lhs = 4:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3) | pppp8-{T}(V3,V4)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #197: exists( #19, #195 ), references = 1, size of lhs = 4:
% 3.95/4.12 pppp1-{F}(V0,V1), P_union-{F}(V1,V0,V2), pppp9-{F}(V2,V1), P_union-{F}(V3,V1,V2) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #201: exists( #28, #199 ), references = 1, size of lhs = 1:
% 3.95/4.12 pppp1-{F}(V0,V1) | P_union-{T}(V0,V1,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #209: disj( #8, exists( #19, #195 ) ), references = 1, size of lhs = 3:
% 3.95/4.12 pppp9-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V3,V1,V0) | pppp8-{T}(V2,V1)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #220: disj( #8, #6+#26 ), references = 1, size of lhs = 2:
% 3.95/4.12 pppp5-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3) | pppp8-{T}(V3,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #237: disj( #2, input ), references = 1, size of lhs = 3:
% 3.95/4.12 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp0-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #246: disj( #8, #7+#20 ), references = 1, size of lhs = 3:
% 3.95/4.12 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V2,V3) | pppp8-{T}(V1,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #268: exists( #19, #266 ), references = 1, size of lhs = 4:
% 3.95/4.12 pppp9-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V2,V3,V1), P_union-{F}(V4,V1,V0) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #283: disj( #2, input ), references = 1, size of lhs = 2:
% 3.95/4.12 pppp3-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #313: disj( #2, #4+#1+#10 ), references = 1, size of lhs = 3:
% 3.95/4.12 pppp0-{F}(V0,V1,V2), P_union-{F}(V3,V1,V4), pppp3-{F}(V0,V5,V4) | member-{T}(V0,V2)
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #319: exists( #9, #317 ), references = 1, size of lhs = 4:
% 3.95/4.12 pppp1-{F}(V0,V1), pppp8-{F}(V2,V1), P_union-{F}(V3,V0,V2), P_union-{F}(V4,V3,V1) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #323: exists( #28, #321 ), references = 1, size of lhs = 3:
% 3.95/4.12 pppp1-{F}(V0,V1), pppp5-{F}(V0,V2,V1), P_union-{F}(V3,V2,V1) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #326: exists( #24, #324 ), references = 1, size of lhs = 2:
% 3.95/4.12 pppp6-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #330: exists( #23, #328 ), references = 1, size of lhs = 1:
% 3.95/4.12 pppp7-{F}(V0) | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 #332: exists( #22, #329 ), references = 1, size of lhs = 0:
% 3.95/4.12 FALSE | FALSE
% 3.95/4.12 (used 0 times, uses = {})
% 3.95/4.12
% 3.95/4.12 number of learnt formulas = 36
% 3.95/4.12
% 3.95/4.12
% 3.95/4.12 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.95/4.12
% 3.95/4.12 randbase = 1
%------------------------------------------------------------------------------