TSTP Solution File: SET159+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET159+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:15:56 EDT 2022
% Result : Theorem 13.28s 13.49s
% Output : Refutation 13.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET159+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n012.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 02:39:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 13.28/13.49 GeoParameters:
% 13.28/13.49
% 13.28/13.49 tptp_input = 1
% 13.28/13.49 tptp_output = 0
% 13.28/13.49 nonempty = 1
% 13.28/13.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.28/13.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.28/13.49
% 13.28/13.49
% 13.28/13.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.28/13.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.28/13.49
% 13.28/13.49 RuleSystem INPUT:
% 13.28/13.49
% 13.28/13.49 Initial Rules:
% 13.28/13.49 #0: input, references = 6, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #1: input, references = 11, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #2: input, references = 5, size of lhs = 1:
% 13.28/13.49 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #3: input, references = 6, size of lhs = 2:
% 13.28/13.49 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #4: input, references = 8, size of lhs = 2:
% 13.28/13.49 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #5: input, references = 3, size of lhs = 1:
% 13.28/13.49 #-{F} V1 | pppp1-{T}(V1,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #6: input, references = 3, size of lhs = 2:
% 13.28/13.49 pppp1-{F}(V0,V1), V0 == V1 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #7: input, references = 3, size of lhs = 1:
% 13.28/13.49 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #8: input, references = 3, size of lhs = 1:
% 13.28/13.49 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #9: input, references = 3, size of lhs = 2:
% 13.28/13.49 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #10: input, references = 5, size of lhs = 3:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #11: input, references = 3, size of lhs = 1:
% 13.28/13.49 subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #12: input, references = 3, size of lhs = 1:
% 13.28/13.49 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #13: input, references = 10, size of lhs = 2:
% 13.28/13.49 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #14: input, references = 22, size of lhs = 2:
% 13.28/13.49 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #15: input, references = 7, size of lhs = 1:
% 13.28/13.49 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #16: input, references = 9, size of lhs = 2:
% 13.28/13.49 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #17: input, references = 7, size of lhs = 1:
% 13.28/13.49 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #18: input, references = 3, size of lhs = 1:
% 13.28/13.49 #-{F} V0 | subset-{T}(V0,V0)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #19: input, references = 3, size of lhs = 1:
% 13.28/13.49 #-{F} V1 | pppp3-{T}(V1,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #20: input, references = 3, size of lhs = 2:
% 13.28/13.49 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #21: input, references = 3, size of lhs = 2:
% 13.28/13.49 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #22: input, references = 3, size of lhs = 2:
% 13.28/13.49 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #23: input, references = 4, size of lhs = 2:
% 13.28/13.49 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp10-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #24: input, references = 4, size of lhs = 1:
% 13.28/13.49 pppp10-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #25: input, references = 11, size of lhs = 3:
% 13.28/13.49 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #26: input, references = 8, size of lhs = 1:
% 13.28/13.49 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #27: input, references = 4, size of lhs = 0:
% 13.28/13.49 FALSE | EXISTS V0: pppp8-{T}(V0)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #28: input, references = 4, size of lhs = 1:
% 13.28/13.49 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #29: input, references = 5, size of lhs = 1:
% 13.28/13.49 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #30: input, references = 13, size of lhs = 5:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), P_union-{F}(V0,V1,V3), P_union-{F}(V3,V2,V6), P_union-{F}(V1,V2,V5), P_union-{F}(V0,V5,V6) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #31: input, references = 16, size of lhs = 2:
% 13.28/13.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 number of initial rules = 32
% 13.28/13.49
% 13.28/13.49 Simplifiers:
% 13.28/13.49 #32: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #33: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #34: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #35: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #36: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #37: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #38: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #39: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #40: unsound, references = 3, size of lhs = 3:
% 13.28/13.49 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 number of simplifiers = 9
% 13.28/13.49
% 13.28/13.49 Learnt:
% 13.28/13.49 #42: disj( #23, input ), references = 3, size of lhs = 3:
% 13.28/13.49 #-{F} V0, #-{F} V1, V0 == V1 | pppp10-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #45: disj( #26, #13+#25 ), references = 3, size of lhs = 3:
% 13.28/13.49 pppp2-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #47: exists( #31, #10 ), references = 34, size of lhs = 1:
% 13.28/13.49 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #51: disj( #26, #4+#1+#25 ), references = 1, size of lhs = 3:
% 13.28/13.49 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V3), P_union-{F}(V4,V1,V3) | member-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #54: disj( #14, #45+#25 ), references = 1, size of lhs = 4:
% 13.28/13.49 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V0,V2,V3), pppp5-{F}(V0,V4,V3) | pppp9-{T}(V3,V4)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #59: exists( #15, #57 ), references = 1, size of lhs = 2:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V0,V2,V1) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #61: disj( #26, input ), references = 2, size of lhs = 3:
% 13.28/13.49 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #68: disj( #26, #61+#13+#25 ), references = 1, size of lhs = 5:
% 13.28/13.49 pppp2-{F}(V0,V1), pppp5-{F}(V2,V0,V3), pppp5-{F}(V2,V3,V4), pppp5-{F}(V2,V1,V4), pppp5-{F}(V2,V5,V4) | member-{T}(V2,V5)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #72: disj( #14, exists( #15, #57 ) ), references = 13, size of lhs = 1:
% 13.28/13.49 P_union-{F}(V0,V1,V2) | pppp2-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #75: disj( #14, #13+#16 ), references = 1, size of lhs = 2:
% 13.28/13.49 member-{F}(V0,V1), pppp4-{F}(V0,V2,V3) | pppp9-{T}(V1,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #81: disj( #2, input ), references = 2, size of lhs = 3:
% 13.28/13.49 member-{F}(V0,V1), pppp5-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #82: disj( #2, input ), references = 2, size of lhs = 2:
% 13.28/13.49 pppp4-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #90: exists( #15, #88 ), references = 1, size of lhs = 4:
% 13.28/13.49 pppp9-{F}(V0,V1), pppp2-{F}(V2,V1), P_union-{F}(V1,V2,V3), P_union-{F}(V0,V4,V3) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #101: exists( #24, #99 ), references = 2, size of lhs = 4:
% 13.28/13.49 pppp2-{F}(V0,V1), P_union-{F}(V1,V0,V2), pppp10-{F}(V2,V1), pppp2-{F}(V1,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #106: exists( #31, #104 ), references = 33, size of lhs = 1:
% 13.28/13.49 pppp2-{F}(V0,V1) | P_union-{T}(V0,V1,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #109: disj( #14, #105+#30 ), references = 1, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V0,V0), pppp6-{F}(V0,V0,V1) | pppp9-{T}(V0,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #113: exists( #31, #111 ), references = 1, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V0,V0), pppp6-{F}(V0,V0,V1) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #115: exists( #29, #112 ), references = 1, size of lhs = 2:
% 13.28/13.49 pppp7-{F}(V0,V0), P_union-{F}(V0,V0,V0) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #118: disj( #14, #106+#30 ), references = 1, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V1,V0), pppp6-{F}(V2,V0,V1) | pppp9-{T}(V2,V0)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #121: disj( #14, #13+#25 ), references = 1, size of lhs = 3:
% 13.28/13.49 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V2,V3) | pppp9-{T}(V1,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #128: disj( #14, #106+#47+#30 ), references = 1, size of lhs = 4:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), P_union-{F}(V0,V1,V3), P_union-{F}(V1,V2,V4), P_union-{F}(V0,V4,V3) | pppp9-{T}(V2,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #131: disj( #14, exists( #24, #99 ) ), references = 1, size of lhs = 3:
% 13.28/13.49 pppp2-{F}(V0,V1), pppp10-{F}(V1,V0), P_union-{F}(V0,V2,V1) | pppp9-{T}(V2,V0)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #132: disj( #14, exists( #15, #88 ) ), references = 1, size of lhs = 3:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V1,V2,V3), P_union-{F}(V0,V4,V3) | pppp9-{T}(V2,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #142: exists( #15, #140 ), references = 3, size of lhs = 3:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V3), P_union-{F}(V3,V4,V1) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #147: disj( #14, #106+#47+#117+#141 ), references = 1, size of lhs = 2:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), P_union-{F}(V3,V0,V2) | pppp9-{T}(V2,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #157: disj( #14, #106+#30 ), references = 1, size of lhs = 4:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), P_union-{F}(V0,V1,V3), P_union-{F}(V1,V2,V4), P_union-{F}(V0,V4,V2) | pppp9-{T}(V3,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #161: disj( #14, exists( #15, #140 ) ), references = 8, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V2,V3,V4) | pppp2-{T}(V1,V4)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #181: disj( #14, #106+#142 ), references = 1, size of lhs = 2:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V3) | pppp9-{T}(V3,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #194: disj( #2, #4+#1+#16 ), references = 1, size of lhs = 3:
% 13.28/13.49 pppp0-{F}(V0,V1,V2), P_union-{F}(V3,V1,V4), pppp4-{F}(V0,V5,V4) | member-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #195: disj( #2, #4+#1+#25 ), references = 1, size of lhs = 4:
% 13.28/13.49 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp0-{F}(V0,V3,V4), P_union-{F}(V5,V3,V2) | member-{T}(V0,V4)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #202: exists( #15, #200 ), references = 2, size of lhs = 4:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V2,V3,V0), P_union-{F}(V4,V2,V1), P_union-{F}(V5,V3,V1) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #206: exists( #31, #204 ), references = 1, size of lhs = 5:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), P_union-{F}(V1,V2,V3), P_union-{F}(V0,V3,V2), P_union-{F}(V4,V1,V2), P_union-{F}(V5,V0,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #213: disj( #14, exists( #15, #200 ) ), references = 5, size of lhs = 3:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V3,V0,V4), P_union-{F}(V5,V1,V4) | pppp2-{T}(V2,V4)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #218: disj( #14, #106+#47+#202 ), references = 1, size of lhs = 3:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V2,V3,V0), P_union-{F}(V4,V3,V1) | pppp9-{T}(V2,V1)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #243: exists( #31, #241 ), references = 3, size of lhs = 4:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V3,V0,V2), P_union-{F}(V4,V1,V5), P_union-{F}(V6,V5,V2) | P_union-{T}(V0,V5,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #251: exists( #31, #249 ), references = 1, size of lhs = 7:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V3,V1,V2), P_union-{F}(V4,V3,V2), pppp6-{F}(V5,V1,V3), P_union-{F}(V6,V5,V2), P_union-{F}(V1,V3,V7), P_union-{F}(V5,V7,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #262: exists( #31, #260 ), references = 2, size of lhs = 2:
% 13.28/13.49 pppp6-{F}(V0,V1,V2), P_union-{F}(V3,V0,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #268: exists( #31, #266 ), references = 1, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V0,V0), pppp6-{F}(V1,V0,V0) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #273: disj( #14, #106+#47+#262 ), references = 1, size of lhs = 1:
% 13.28/13.49 pppp6-{F}(V0,V1,V2) | pppp9-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #288: disj( #14, #106+#47+#161+#106+#47+#30 ), references = 1, size of lhs = 3:
% 13.28/13.49 P_union-{F}(V0,V1,V1), pppp6-{F}(V0,V1,V2), P_union-{F}(V3,V4,V1) | pppp9-{T}(V2,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #295: exists( #31, #293 ), references = 1, size of lhs = 3:
% 13.28/13.49 P_union-{F}(V0,V1,V1), P_union-{F}(V2,V0,V1), pppp6-{F}(V0,V1,V3) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #301: disj( #14, #106+#161+#106+#47+#294 ), references = 1, size of lhs = 2:
% 13.28/13.49 P_union-{F}(V0,V1,V2), pppp6-{F}(V1,V3,V4) | pppp9-{T}(V2,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #304: disj( #14, #13+#25 ), references = 1, size of lhs = 3:
% 13.28/13.49 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V3,V2) | pppp9-{T}(V1,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #311: disj( #14, #106+#47+#142 ), references = 1, size of lhs = 2:
% 13.28/13.49 pppp9-{F}(V0,V1), P_union-{F}(V2,V3,V1) | pppp9-{T}(V0,V2)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #317: disj( #26, input ), references = 1, size of lhs = 2:
% 13.28/13.49 pppp4-{F}(V0,V1,V2), pppp5-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #335: exists( #31, #333 ), references = 1, size of lhs = 4:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V3,V0,V2), P_union-{F}(V4,V1,V5), P_union-{F}(V2,V5,V6) | P_union-{T}(V0,V5,V6)
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #347: mergings( V6 == V10; #345 ), references = 1, size of lhs = 7:
% 13.28/13.49 P_union-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V4), P_union-{F}(V5,V4,V2), P_union-{F}(V3,V1,V6), P_union-{F}(V6,V4,V2), P_union-{F}(V7,V6,V2), P_union-{F}(V8,V3,V6) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #358: exists( #31, #356 ), references = 1, size of lhs = 4:
% 13.28/13.49 P_union-{F}(V0,V1,V2), P_union-{F}(V3,V1,V2), pppp6-{F}(V3,V1,V4), P_union-{F}(V5,V3,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #361: exists( #31, #359 ), references = 1, size of lhs = 1:
% 13.28/13.49 pppp6-{F}(V0,V1,V2) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #363: exists( #29, #360 ), references = 1, size of lhs = 1:
% 13.28/13.49 pppp7-{F}(V0,V1) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #365: exists( #28, #362 ), references = 1, size of lhs = 1:
% 13.28/13.49 pppp8-{F}(V0) | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 #367: exists( #27, #364 ), references = 1, size of lhs = 0:
% 13.28/13.49 FALSE | FALSE
% 13.28/13.49 (used 0 times, uses = {})
% 13.28/13.49
% 13.28/13.49 number of learnt formulas = 52
% 13.28/13.49
% 13.28/13.49
% 13.28/13.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.28/13.49
% 13.28/13.49 randbase = 1
%------------------------------------------------------------------------------