TSTP Solution File: SET143+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:15:54 EDT 2022
% Result : Theorem 8.84s 9.05s
% Output : Refutation 8.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET143+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 : n026.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 02:53:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.84/9.05 GeoParameters:
% 8.84/9.05
% 8.84/9.05 tptp_input = 1
% 8.84/9.05 tptp_output = 0
% 8.84/9.05 nonempty = 1
% 8.84/9.05 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/9.05 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 8.84/9.05
% 8.84/9.05
% 8.84/9.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/9.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/9.05
% 8.84/9.05 RuleSystem INPUT:
% 8.84/9.05
% 8.84/9.05 Initial Rules:
% 8.84/9.05 #0: input, references = 7, size of lhs = 2:
% 8.84/9.05 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #1: input, references = 9, size of lhs = 2:
% 8.84/9.05 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #2: input, references = 4, size of lhs = 1:
% 8.84/9.05 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #3: input, references = 6, size of lhs = 1:
% 8.84/9.05 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #4: input, references = 9, size of lhs = 2:
% 8.84/9.05 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #5: input, references = 3, size of lhs = 1:
% 8.84/9.05 #-{F} V1 | pppp1-{T}(V1,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #6: input, references = 3, size of lhs = 2:
% 8.84/9.05 pppp1-{F}(V0,V1), V0 == V1 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #7: input, references = 3, size of lhs = 1:
% 8.84/9.05 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #8: input, references = 3, size of lhs = 1:
% 8.84/9.05 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #9: input, references = 3, size of lhs = 2:
% 8.84/9.05 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #10: input, references = 6, size of lhs = 3:
% 8.84/9.05 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #11: input, references = 4, size of lhs = 1:
% 8.84/9.05 subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #12: input, references = 3, size of lhs = 1:
% 8.84/9.05 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #13: input, references = 10, size of lhs = 2:
% 8.84/9.05 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #14: input, references = 16, size of lhs = 2:
% 8.84/9.05 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #15: input, references = 5, size of lhs = 1:
% 8.84/9.05 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #16: input, references = 5, size of lhs = 2:
% 8.84/9.05 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #17: input, references = 5, size of lhs = 1:
% 8.84/9.05 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #18: input, references = 4, size of lhs = 1:
% 8.84/9.05 #-{F} V0 | subset-{T}(V0,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #19: input, references = 3, size of lhs = 1:
% 8.84/9.05 #-{F} V1 | pppp3-{T}(V1,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #20: input, references = 3, size of lhs = 2:
% 8.84/9.05 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #21: input, references = 3, size of lhs = 2:
% 8.84/9.05 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #22: input, references = 3, size of lhs = 2:
% 8.84/9.05 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #23: input, references = 4, size of lhs = 2:
% 8.84/9.05 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp10-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #24: input, references = 6, size of lhs = 1:
% 8.84/9.05 pppp10-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #25: input, references = 13, size of lhs = 3:
% 8.84/9.05 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #26: input, references = 11, size of lhs = 1:
% 8.84/9.05 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #27: input, references = 4, size of lhs = 0:
% 8.84/9.05 FALSE | EXISTS V0: pppp8-{T}(V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #28: input, references = 4, size of lhs = 1:
% 8.84/9.05 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #29: input, references = 5, size of lhs = 1:
% 8.84/9.05 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #30: input, references = 12, size of lhs = 5:
% 8.84/9.05 pppp6-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V3), P_intersection-{F}(V3,V2,V6), P_intersection-{F}(V1,V2,V5), P_intersection-{F}(V0,V5,V6) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #31: input, references = 17, size of lhs = 2:
% 8.84/9.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 number of initial rules = 32
% 8.84/9.05
% 8.84/9.05 Simplifiers:
% 8.84/9.05 #32: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #33: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #34: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #35: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #36: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #37: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #38: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #39: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #40: unsound, references = 3, size of lhs = 3:
% 8.84/9.05 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 number of simplifiers = 9
% 8.84/9.05
% 8.84/9.05 Learnt:
% 8.84/9.05 #42: disj( #23, input ), references = 3, size of lhs = 3:
% 8.84/9.05 #-{F} V0, #-{F} V1, V0 == V1 | pppp10-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #45: disj( #26, #13+#25 ), references = 1, size of lhs = 3:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #50: disj( #14, #44+#0+#3+#25 ), references = 1, size of lhs = 4:
% 8.84/9.05 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2), pppp5-{F}(V0,V3,V4), P_intersection-{F}(V5,V4,V3) | pppp9-{T}(V2,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #54: disj( #26, #4+#1+#25 ), references = 1, size of lhs = 3:
% 8.84/9.05 P_intersection-{F}(V0,V0,V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #61: disj( #26, #0+#3+#25 ), references = 1, size of lhs = 3:
% 8.84/9.05 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2), P_intersection-{F}(V4,V3,V2) | member-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #64: exists( #31, #10 ), references = 27, size of lhs = 1:
% 8.84/9.05 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #70: exists( #15, #68 ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp9-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #74: disj( #26, #13+#25 ), references = 4, size of lhs = 3:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #76: disj( #14, exists( #15, #68 ) ), references = 21, size of lhs = 1:
% 8.84/9.05 P_intersection-{F}(V0,V1,V2) | pppp2-{T}(V2,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #84: exists( #24, #82 ), references = 1, size of lhs = 3:
% 8.84/9.05 pppp10-{F}(V0,V1), pppp2-{F}(V0,V1), P_intersection-{F}(V1,V1,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #96: exists( #24, #94 ), references = 2, size of lhs = 4:
% 8.84/9.05 pppp10-{F}(V0,V1), pppp2-{F}(V0,V1), pppp2-{F}(V1,V2), P_intersection-{F}(V1,V2,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #98: disj( #14, exists( #24, #94 ) ), references = 1, size of lhs = 3:
% 8.84/9.05 pppp10-{F}(V0,V1), pppp2-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | pppp9-{T}(V1,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #110: exists( #31, #108 ), references = 14, size of lhs = 1:
% 8.84/9.05 pppp2-{F}(V0,V1) | P_intersection-{T}(V1,V0,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #113: disj( #14, #13+#25 ), references = 1, size of lhs = 3:
% 8.84/9.05 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V3,V2) | pppp9-{T}(V1,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #118: disj( #14, #110+#64+#30 ), references = 1, size of lhs = 2:
% 8.84/9.05 P_intersection-{F}(V0,V1,V1), pppp6-{F}(V0,V1,V2) | pppp9-{T}(V1,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #126: exists( #31, #124 ), references = 1, size of lhs = 2:
% 8.84/9.05 P_intersection-{F}(V0,V0,V0), pppp6-{F}(V0,V0,V1) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #128: exists( #29, #125 ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp7-{F}(V0,V0), P_intersection-{F}(V0,V0,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #132: disj( #14, #110+#64+#30 ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp6-{F}(V0,V1,V0), P_intersection-{F}(V0,V0,V2) | pppp9-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #140: exists( #31, #138 ), references = 1, size of lhs = 1:
% 8.84/9.05 pppp6-{F}(V0,V1,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #144: disj( #14, #110+#64+#30 ), references = 1, size of lhs = 4:
% 8.84/9.05 pppp6-{F}(V0,V1,V2), P_intersection-{F}(V0,V2,V3), P_intersection-{F}(V1,V2,V4), P_intersection-{F}(V0,V4,V3) | pppp9-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #148: mergings( V3 == V4; #146 ), references = 1, size of lhs = 3:
% 8.84/9.05 P_intersection-{F}(V0,V1,V1), pppp6-{F}(V0,V2,V3), P_intersection-{F}(V2,V3,V1) | pppp9-{T}(V2,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #153: disj( #26, input ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp4-{F}(V0,V1,V2), pppp5-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #179: disj( #26, input ), references = 1, size of lhs = 3:
% 8.84/9.05 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #187: disj( #26, input ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp5-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2) | member-{T}(V0,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #188: disj( #26, input ), references = 2, size of lhs = 3:
% 8.84/9.05 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #217: exists( #24, #215 ), references = 2, size of lhs = 6:
% 8.84/9.05 pppp10-{F}(V0,V1), pppp2-{F}(V0,V1), pppp2-{F}(V1,V2), P_intersection-{F}(V1,V3,V0), P_intersection-{F}(V2,V4,V3), P_intersection-{F}(V5,V4,V1) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #224: exists( #31, #222 ), references = 8, size of lhs = 3:
% 8.84/9.05 pppp2-{F}(V0,V1), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V4,V2,V0) | P_intersection-{T}(V0,V3,V0)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #229: exists( #31, #227 ), references = 1, size of lhs = 5:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp6-{F}(V2,V1,V0), P_intersection-{F}(V3,V2,V0), P_intersection-{F}(V1,V0,V4), P_intersection-{F}(V2,V4,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #232: disj( #14, #110+#228 ), references = 1, size of lhs = 3:
% 8.84/9.05 P_intersection-{F}(V0,V1,V1), pppp6-{F}(V0,V2,V1), P_intersection-{F}(V3,V0,V1) | pppp9-{T}(V1,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #245: exists( #15, #243 ), references = 1, size of lhs = 3:
% 8.84/9.05 pppp9-{F}(V0,V1), pppp2-{F}(V0,V2), pppp2-{F}(V2,V1) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #247: disj( #14, exists( #15, #243 ) ), references = 6, size of lhs = 2:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp2-{F}(V1,V2) | pppp2-{T}(V0,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #249: disj( #14, exists( #15, #243 ) ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp9-{F}(V0,V1), pppp2-{F}(V2,V1) | pppp9-{T}(V0,V2)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #266: exists( #31, #264 ), references = 6, size of lhs = 4:
% 8.84/9.05 pppp2-{F}(V0,V1), P_intersection-{F}(V2,V0,V3), pppp2-{F}(V3,V4), P_intersection-{F}(V4,V1,V3) | P_intersection-{T}(V4,V0,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #273: exists( #31, #271 ), references = 1, size of lhs = 7:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp2-{F}(V0,V2), P_intersection-{F}(V1,V2,V0), pppp6-{F}(V3,V2,V1), P_intersection-{F}(V4,V3,V0), P_intersection-{F}(V2,V1,V5), P_intersection-{F}(V3,V5,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #281: exists( #31, #279 ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp6-{F}(V1,V2,V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #286: disj( #14, exists( #15, #243 ) ), references = 1, size of lhs = 2:
% 8.84/9.05 pppp9-{F}(V0,V1), pppp2-{F}(V0,V2) | pppp9-{T}(V2,V1)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #324: disj( #26, #188+#4+#1+#25 ), references = 1, size of lhs = 7:
% 8.84/9.05 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V2,V3), P_intersection-{F}(V1,V4,V3), pppp5-{F}(V0,V4,V5), pppp5-{F}(V0,V5,V6), pppp5-{F}(V0,V7,V6) | member-{T}(V0,V7)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #340: disj( #14, exists( #24, #215 ) ), references = 1, size of lhs = 5:
% 8.84/9.05 pppp10-{F}(V0,V1), pppp2-{F}(V0,V1), P_intersection-{F}(V1,V2,V0), P_intersection-{F}(V3,V4,V2), P_intersection-{F}(V5,V4,V1) | pppp9-{T}(V1,V3)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #380: exists( #31, #378 ), references = 4, size of lhs = 4:
% 8.84/9.05 pppp2-{F}(V0,V1), P_intersection-{F}(V1,V2,V3), pppp2-{F}(V3,V2), P_intersection-{F}(V3,V0,V4) | P_intersection-{T}(V2,V0,V4)
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #409: exists( #31, #407 ), references = 1, size of lhs = 22:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp2-{F}(V0,V2), pppp2-{F}(V0,V3), pppp2-{F}(V0,V4), P_intersection-{F}(V3,V2,V5), pppp2-{F}(V5,V4), pppp2-{F}(V5,V6), P_intersection-{F}(V7,V4,V0), pppp2-{F}(V8,V4), pppp2-{F}(V8,V9), P_intersection-{F}(V9,V2,V8), pppp2-{F}(V8,V10), P_intersection-{F}(V9,V1,V11), pppp2-{F}(V11,V7), pppp2-{F}(V11,V9), pppp2-{F}(V11,V12), P_intersection-{F}(V10,V12,V11), P_intersection-{F}(V12,V13,V5), pppp6-{F}(V12,V13,V14), P_intersection-{F}(V6,V14,V11), pppp2-{F}(V11,V14), P_intersection-{F}(V13,V14,V8) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #414: exists( #31, #412 ), references = 2, size of lhs = 15:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp2-{F}(V0,V2), pppp2-{F}(V0,V3), P_intersection-{F}(V2,V3,V4), pppp2-{F}(V4,V3), pppp2-{F}(V4,V5), P_intersection-{F}(V6,V3,V0), P_intersection-{F}(V7,V3,V4), pppp6-{F}(V7,V3,V8), P_intersection-{F}(V8,V1,V9), pppp2-{F}(V9,V6), pppp2-{F}(V9,V7), P_intersection-{F}(V8,V7,V9), P_intersection-{F}(V5,V8,V9), pppp2-{F}(V9,V8) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #427: mergings( V3 == V6; #425 ), references = 1, size of lhs = 6:
% 8.84/9.05 pppp2-{F}(V0,V1), pppp2-{F}(V0,V2), P_intersection-{F}(V1,V2,V0), pppp2-{F}(V0,V3), P_intersection-{F}(V3,V2,V0), pppp6-{F}(V3,V2,V4) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #436: exists( #31, #434 ), references = 1, size of lhs = 1:
% 8.84/9.05 pppp6-{F}(V0,V1,V2) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #438: exists( #29, #435 ), references = 1, size of lhs = 1:
% 8.84/9.05 pppp7-{F}(V0,V1) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #440: exists( #28, #437 ), references = 1, size of lhs = 1:
% 8.84/9.05 pppp8-{F}(V0) | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 #442: exists( #27, #439 ), references = 1, size of lhs = 0:
% 8.84/9.05 FALSE | FALSE
% 8.84/9.05 (used 0 times, uses = {})
% 8.84/9.05
% 8.84/9.05 number of learnt formulas = 46
% 8.84/9.05
% 8.84/9.05
% 8.84/9.05 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/9.05
% 8.84/9.05 randbase = 1
%------------------------------------------------------------------------------