TSTP Solution File: SET200+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:16:00 EDT 2022
% Result : Theorem 4.51s 4.73s
% Output : Refutation 4.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 02:16:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.51/4.73 GeoParameters:
% 4.51/4.73
% 4.51/4.73 tptp_input = 1
% 4.51/4.73 tptp_output = 0
% 4.51/4.73 nonempty = 1
% 4.51/4.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/4.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.51/4.73
% 4.51/4.73
% 4.51/4.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/4.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/4.73
% 4.51/4.73 RuleSystem INPUT:
% 4.51/4.73
% 4.51/4.73 Initial Rules:
% 4.51/4.73 #0: input, references = 5, size of lhs = 2:
% 4.51/4.73 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #1: input, references = 7, size of lhs = 2:
% 4.51/4.73 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #2: input, references = 5, size of lhs = 1:
% 4.51/4.73 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #3: input, references = 3, size of lhs = 2:
% 4.51/4.73 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #4: input, references = 7, size of lhs = 2:
% 4.51/4.73 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #5: input, references = 16, size of lhs = 1:
% 4.51/4.73 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #6: input, references = 5, size of lhs = 1:
% 4.51/4.73 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #7: input, references = 9, size of lhs = 2:
% 4.51/4.73 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #8: input, references = 21, size of lhs = 2:
% 4.51/4.73 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp9-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #9: input, references = 6, size of lhs = 1:
% 4.51/4.73 pppp9-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #10: input, references = 9, size of lhs = 2:
% 4.51/4.73 pppp3-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #11: input, references = 6, size of lhs = 1:
% 4.51/4.73 pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #12: input, references = 4, size of lhs = 3:
% 4.51/4.73 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #13: input, references = 10, size of lhs = 1:
% 4.51/4.73 #-{F} V0 | subset-{T}(V0,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #14: input, references = 3, size of lhs = 1:
% 4.51/4.73 #-{F} V1 | pppp2-{T}(V1,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #15: input, references = 3, size of lhs = 2:
% 4.51/4.73 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #16: input, references = 3, size of lhs = 2:
% 4.51/4.73 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #17: input, references = 3, size of lhs = 2:
% 4.51/4.73 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #18: input, references = 4, size of lhs = 2:
% 4.51/4.73 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp10-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #19: input, references = 4, size of lhs = 1:
% 4.51/4.73 pppp10-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #20: input, references = 13, size of lhs = 3:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #21: input, references = 5, size of lhs = 1:
% 4.51/4.73 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #22: input, references = 4, size of lhs = 0:
% 4.51/4.73 FALSE | EXISTS V0: pppp8-{T}(V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #23: input, references = 4, size of lhs = 1:
% 4.51/4.73 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #24: input, references = 5, size of lhs = 1:
% 4.51/4.73 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #25: input, references = 4, size of lhs = 1:
% 4.51/4.73 pppp7-{F}(V0,V1) | subset-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #26: input, references = 6, size of lhs = 1:
% 4.51/4.73 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V3,V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #27: input, references = 11, size of lhs = 4:
% 4.51/4.73 pppp5-{F}(V0,V1,V2,V3), P_union-{F}(V1,V0,V4), P_union-{F}(V2,V3,V5), subset-{F}(V4,V5) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #28: input, references = 10, size of lhs = 3:
% 4.51/4.73 pppp5-{F}(V0,V1,V2,V3), P_union-{F}(V1,V0,V4), P_union-{F}(V2,V3,V5) | subset-{T}(V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #29: input, references = 18, size of lhs = 2:
% 4.51/4.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 number of initial rules = 30
% 4.51/4.73
% 4.51/4.73 Simplifiers:
% 4.51/4.73 #30: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #31: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #32: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #33: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #34: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #35: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #36: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #37: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #38: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #39: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #40: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #41: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #42: unsound, references = 3, size of lhs = 3:
% 4.51/4.73 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 number of simplifiers = 13
% 4.51/4.73
% 4.51/4.73 Learnt:
% 4.51/4.73 #44: disj( #18, input ), references = 7, size of lhs = 3:
% 4.51/4.73 #-{F} V0, #-{F} V1, V0 == V1 | pppp10-{T}(V0,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #47: disj( #21, #7+#20 ), references = 7, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp4-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #49: exists( #29, #12 ), references = 28, size of lhs = 1:
% 4.51/4.73 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #54: exists( #9, #52 ), references = 3, size of lhs = 2:
% 4.51/4.73 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #56: disj( #8, exists( #9, #52 ) ), references = 12, size of lhs = 1:
% 4.51/4.73 P_union-{F}(V0,V1,V2) | pppp1-{T}(V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #61: disj( #21, #7+#20 ), references = 6, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp4-{F}(V2,V0,V1), pppp4-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #72: exists( #29, #68 ), references = 2, size of lhs = 6:
% 4.51/4.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V3,V4), pppp5-{F}(V5,V3,V4,V6), P_union-{F}(V4,V6,V7) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #73: exists( #29, #69 ), references = 1, size of lhs = 5:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp3-{F}(V0,V4,V3), pppp5-{F}(V5,V2,V1,V6), P_union-{F}(V1,V6,V7) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #81: exists( #29, #79 ), references = 3, size of lhs = 6:
% 4.51/4.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3), pppp5-{F}(V5,V3,V4,V6), P_union-{F}(V4,V6,V7) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #89: disj( #8, #47+#20 ), references = 1, size of lhs = 4:
% 4.51/4.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3) | pppp9-{T}(V3,V4)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #90: disj( #8, #47+#72 ), references = 1, size of lhs = 7:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V4,V3), pppp4-{F}(V0,V5,V4), pppp4-{F}(V0,V5,V6), pppp5-{F}(V7,V5,V6,V8), P_union-{F}(V6,V8,V9) | pppp9-{T}(V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #91: disj( #8, #47+#81 ), references = 1, size of lhs = 7:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V4,V3), pppp4-{F}(V0,V4,V5), pppp4-{F}(V0,V6,V5), pppp5-{F}(V7,V5,V6,V8), P_union-{F}(V6,V8,V9) | pppp9-{T}(V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #97: disj( #2, #7+#20 ), references = 2, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp0-{F}(V2,V0,V3), member-{F}(V2,V4), pppp4-{F}(V2,V4,V1) | member-{T}(V2,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #98: disj( #2, #7+#10 ), references = 2, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp0-{F}(V2,V0,V3), pppp3-{F}(V2,V4,V1) | member-{T}(V2,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #122: exists( #19, #120 ), references = 3, size of lhs = 5:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), pppp10-{F}(V2,V1), P_union-{F}(V0,V3,V2), pppp1-{F}(V3,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #127: exists( #29, #125 ), references = 21, size of lhs = 2:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V0) | P_union-{T}(V0,V1,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #131: disj( #8, #61+#81 ), references = 1, size of lhs = 7:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3), pppp4-{F}(V0,V4,V3), pppp4-{F}(V0,V4,V5), pppp4-{F}(V0,V6,V5), pppp5-{F}(V7,V5,V6,V8), P_union-{F}(V6,V8,V9) | pppp9-{T}(V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #133: disj( #8, exists( #19, #120 ) ), references = 4, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), pppp10-{F}(V2,V1), P_union-{F}(V0,V3,V2) | pppp9-{T}(V3,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #138: disj( #8, #61+#20 ), references = 1, size of lhs = 4:
% 4.51/4.73 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V3,V4) | pppp9-{T}(V3,V4)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #139: disj( #8, #61+#10 ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3), pppp3-{F}(V0,V4,V3) | pppp9-{T}(V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #147: exists( #29, #145 ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp5-{F}(V0,V1,V0,V2), P_union-{F}(V0,V2,V3) | P_union-{T}(V0,V1,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #152: mergings( V3 == V4; #150 ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp6-{F}(V0,V1,V0), subset-{F}(V0,V2), P_union-{F}(V0,V1,V2) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #159: exists( #9, #157 ), references = 4, size of lhs = 3:
% 4.51/4.73 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V3), P_union-{F}(V4,V3,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #161: disj( #8, exists( #9, #157 ) ), references = 6, size of lhs = 2:
% 4.51/4.73 P_union-{F}(V0,V1,V2), P_union-{F}(V3,V2,V4) | pppp1-{T}(V1,V4)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #167: disj( #8, #6+#127+#160+#127+#27 ), references = 2, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), P_union-{F}(V1,V2,V3), pppp5-{F}(V2,V1,V0,V4), P_union-{F}(V5,V4,V3) | pppp9-{T}(V3,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #174: mergings( V2 == V5, V3 == V4, V4 == V6; #170 ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), P_union-{F}(V1,V2,V1), pppp5-{F}(V2,V1,V0,V3) | pppp9-{T}(V3,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #177: disj( #8, #61+#20 ), references = 1, size of lhs = 4:
% 4.51/4.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V0,V3,V2), pppp4-{F}(V0,V3,V4) | pppp9-{T}(V3,V4)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #188: exists( #29, #186 ), references = 1, size of lhs = 6:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), pppp10-{F}(V2,V1), P_union-{F}(V0,V3,V2), pppp5-{F}(V4,V3,V1,V5), P_union-{F}(V3,V4,V6) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #193: exists( #29, #191 ), references = 7, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp5-{F}(V1,V2,V0,V3), P_union-{F}(V2,V1,V4) | P_union-{T}(V2,V0,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #204: disj( #8, #127+#161+#127+#27 ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), subset-{F}(V0,V0), pppp5-{F}(V1,V0,V0,V1), P_union-{F}(V2,V1,V3) | pppp9-{T}(V3,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #209: exists( #29, #207 ), references = 1, size of lhs = 1:
% 4.51/4.73 pppp5-{F}(V0,V1,V1,V0) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #216: disj( #2, input ), references = 1, size of lhs = 3:
% 4.51/4.73 member-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #219: disj( #8, #127+#27 ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), subset-{F}(V0,V1), P_union-{F}(V2,V3,V1), pppp5-{F}(V4,V0,V2,V3) | pppp9-{T}(V4,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #225: disj( #8, exists( #29, #186 ) ), references = 1, size of lhs = 5:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp10-{F}(V2,V1), P_union-{F}(V0,V3,V2), pppp5-{F}(V4,V3,V1,V5), P_union-{F}(V3,V4,V6) | pppp9-{T}(V1,V2)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #226: disj( #8, exists( #19, #120 ) ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), P_union-{F}(V0,V2,V3), pppp10-{F}(V3,V1) | pppp9-{T}(V1,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #231: disj( #8, #127+#159 ), references = 7, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp9-{F}(V1,V2), P_union-{F}(V3,V0,V2) | pppp9-{T}(V1,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #232: disj( #8, #7+#20 ), references = 1, size of lhs = 3:
% 4.51/4.73 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V2,V3) | pppp9-{T}(V1,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #251: exists( #9, #249 ), references = 2, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V1), pppp9-{F}(V2,V1), P_union-{F}(V0,V3,V2), P_union-{F}(V4,V3,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #259: exists( #29, #257 ), references = 2, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V0), pppp5-{F}(V1,V2,V0,V1), P_union-{F}(V3,V2,V0) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #271: mergings( V4 == V0, V0 == V5; #267 ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V0), pppp5-{F}(V1,V2,V0,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #280: mergings( V2 == V5, V5 == V6; #276 ), references = 2, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp5-{F}(V1,V2,V0,V1), P_union-{F}(V3,V1,V4) | pppp9-{T}(V4,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #308: mergings( V0 == V4, V3 == V1; #304 ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), pppp5-{F}(V2,V1,V0,V2) | pppp9-{T}(V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #309: disj( #8, #127+#193+#49+#159 ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), pppp9-{F}(V2,V1), pppp5-{F}(V2,V0,V1,V3) | pppp9-{T}(V2,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #334: exists( #29, #328 ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp9-{F}(V1,V0), pppp5-{F}(V2,V1,V0,V3) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #335: exists( #29, #329 ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp9-{F}(V1,V2), P_union-{F}(V3,V0,V2), pppp5-{F}(V4,V1,V0,V5) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #337: mergings( V5 == V6; #333 ), references = 1, size of lhs = 5:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp9-{F}(V1,V0), P_union-{F}(V2,V2,V1), pppp5-{F}(V3,V2,V0,V4), P_union-{F}(V0,V4,V5) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #359: exists( #29, #353 ), references = 3, size of lhs = 6:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), P_union-{F}(V2,V0,V1), pppp1-{F}(V3,V3), P_union-{F}(V4,V1,V3), pppp5-{F}(V5,V6,V0,V7) | P_union-{T}(V3,V6,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #360: exists( #29, #354 ), references = 1, size of lhs = 8:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), pppp1-{F}(V2,V2), P_union-{F}(V3,V0,V2), P_union-{F}(V4,V2,V1), pppp1-{F}(V5,V5), P_union-{F}(V6,V1,V5), pppp5-{F}(V7,V8,V0,V9) | P_union-{T}(V5,V8,V5)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #362: mergings( V9 == V10; #358 ), references = 1, size of lhs = 8:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), P_union-{F}(V2,V0,V1), pppp1-{F}(V3,V3), P_union-{F}(V4,V1,V3), P_union-{F}(V5,V5,V6), pppp5-{F}(V7,V5,V0,V8), P_union-{F}(V0,V8,V9) | P_union-{T}(V3,V6,V3)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #368: disj( #8, #127+#49+#27 ), references = 1, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V0), subset-{F}(V0,V1), P_union-{F}(V2,V3,V1), pppp5-{F}(V0,V4,V2,V3) | pppp9-{T}(V4,V0)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #372: disj( #8, exists( #9, #249 ) ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp9-{F}(V0,V1), P_union-{F}(V2,V3,V0), P_union-{F}(V4,V3,V1) | pppp9-{T}(V2,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #374: disj( #8, exists( #9, #249 ) ), references = 1, size of lhs = 3:
% 4.51/4.73 pppp1-{F}(V0,V1), P_union-{F}(V0,V2,V3), P_union-{F}(V4,V2,V1) | pppp1-{T}(V3,V1)
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #379: exists( #29, #377 ), references = 3, size of lhs = 4:
% 4.51/4.73 pppp1-{F}(V0,V1), P_union-{F}(V2,V3,V1), pppp5-{F}(V3,V0,V4,V5), P_union-{F}(V4,V5,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #390: exists( #29, #388 ), references = 1, size of lhs = 2:
% 4.51/4.73 P_union-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2,V3) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #393: exists( #26, #391 ), references = 1, size of lhs = 5:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), pppp6-{F}(V2,V2,V1), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V0,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #398: exists( #24, #396 ), references = 1, size of lhs = 1:
% 4.51/4.73 pppp7-{F}(V0,V0) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #412: exists( #26, #410 ), references = 1, size of lhs = 9:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), P_union-{F}(V2,V0,V1), pppp1-{F}(V3,V3), P_union-{F}(V4,V1,V3), pppp6-{F}(V5,V6,V0), P_union-{F}(V0,V6,V7), P_union-{F}(V8,V3,V7), P_union-{F}(V9,V5,V7) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #423: exists( #29, #421 ), references = 2, size of lhs = 6:
% 4.51/4.73 pppp1-{F}(V0,V0), pppp1-{F}(V1,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V3,V0,V1), pppp6-{F}(V4,V5,V1), P_union-{F}(V6,V4,V5) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #428: exists( #24, #426 ), references = 1, size of lhs = 2:
% 4.51/4.73 pppp7-{F}(V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #435: exists( #23, #433 ), references = 1, size of lhs = 1:
% 4.51/4.73 pppp8-{F}(V0) | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 #437: exists( #22, #434 ), references = 1, size of lhs = 0:
% 4.51/4.73 FALSE | FALSE
% 4.51/4.73 (used 0 times, uses = {})
% 4.51/4.73
% 4.51/4.73 number of learnt formulas = 61
% 4.51/4.73
% 4.51/4.73
% 4.51/4.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/4.73
% 4.51/4.73 randbase = 1
%------------------------------------------------------------------------------