TSTP Solution File: LAT089-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:07:54 EDT 2022
% Result : Unsatisfiable 12.16s 12.36s
% Output : Refutation 12.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 : Fri Jul 22 20:23:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.16/12.36 GeoParameters:
% 12.16/12.36
% 12.16/12.36 tptp_input = 1
% 12.16/12.36 tptp_output = 0
% 12.16/12.36 nonempty = 1
% 12.16/12.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.16/12.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 12.16/12.36
% 12.16/12.36
% 12.16/12.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.16/12.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.16/12.36
% 12.16/12.36 RuleSystem INPUT:
% 12.16/12.36
% 12.16/12.36 Initial Rules:
% 12.16/12.36 #0: input, references = 13, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), V5 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1: input, references = 9, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V0,V2), P_join-{F}(V0,V0,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5), V5 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #2: input, references = 8, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5), V5 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #3: input, references = 13, size of lhs = 5:
% 12.16/12.36 P_join-{F}(V0,V1,V3), P_join-{F}(V2,V0,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V0,V6), V6 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #4: input, references = 19, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V1,V3), P_meet-{F}(V2,V0,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V0,V6), V6 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #5: input, references = 5, size of lhs = 4:
% 12.16/12.36 P_b-{F}(V0), P_a-{F}(V1), P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V0,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #6: input, references = 48, size of lhs = 2:
% 12.16/12.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #7: input, references = 63, size of lhs = 2:
% 12.16/12.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #8: input, references = 4, size of lhs = 0:
% 12.16/12.36 FALSE | EXISTS V0: P_b-{T}(V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #9: input, references = 4, size of lhs = 0:
% 12.16/12.36 FALSE | EXISTS V0: P_a-{T}(V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 number of initial rules = 10
% 12.16/12.36
% 12.16/12.36 Simplifiers:
% 12.16/12.36 #10: unsound, references = 3, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #11: unsound, references = 3, size of lhs = 3:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #12: unsound, references = 3, size of lhs = 3:
% 12.16/12.36 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #13: unsound, references = 3, size of lhs = 3:
% 12.16/12.36 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 number of simplifiers = 4
% 12.16/12.36
% 12.16/12.36 Learnt:
% 12.16/12.36 #16: exists( #7, #5 ), references = 1, size of lhs = 2:
% 12.16/12.36 P_b-{F}(V0), P_a-{F}(V0) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #17: exists( #7, #3 ), references = 76, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #19: exists( #6, #1 ), references = 38, size of lhs = 3:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V1,V4,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #24: mergings( V0 == V2; #22 ), references = 8, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_join-{F}(V0,V1,V0), P_join-{F}(V2,V0,V0) | P_meet-{T}(V0,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #31: exists( #6, #4 ), references = 27, size of lhs = 3:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #50: exists( #6, #2 ), references = 37, size of lhs = 3:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4) | P_join-{T}(V2,V4,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #51: exists( #6, #0 ), references = 33, size of lhs = 3:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4) | P_join-{T}(V2,V4,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #57: exists( #7, #55 ), references = 4, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V4,V2,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V2,V7,V8), P_join-{F}(V8,V2,V9), P_join-{F}(V9,V2,V10), V10 == V2 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #61: exists( #7, #59 ), references = 3, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_join-{F}(V2,V0,V1), P_meet-{F}(V1,V0,V3), P_join-{F}(V0,V4,V5), P_join-{F}(V5,V1,V6) | P_meet-{T}(V5,V1,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #64: exists( #7, #62 ), references = 9, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2), P_join-{F}(V1,V3,V5), V5 == V3 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #67: exists( #6, #65 ), references = 2, size of lhs = 9:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_join-{F}(V2,V0,V1), P_meet-{F}(V1,V0,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V6,V7,V0), P_join-{F}(V6,V7,V5), P_join-{F}(V7,V5,V8), V8 == V5 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #69: exists( #6, #66 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_join-{F}(V2,V0,V1), P_meet-{F}(V1,V0,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V6,V7,V0), P_join-{F}(V6,V7,V5) | P_join-{T}(V7,V5,V5)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #91: mergings( V1 == V5, V3 == V6; #87 ), references = 2, size of lhs = 5:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V0,V0), P_meet-{F}(V3,V2,V2), P_join-{F}(V3,V2,V0) | P_meet-{T}(V2,V0,V2)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #92: exists( #7, #83 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V0,V0), P_meet-{F}(V2,V2,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V5,V2,V4), P_meet-{F}(V6,V2,V3), P_join-{F}(V6,V2,V0) | P_meet-{T}(V2,V0,V3)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #120: mergings( V1 == V5, V3 == V4, V4 == V5; #115 ), references = 12, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0) | P_meet-{T}(V1,V0,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #137: exists( #6, #64 ), references = 9, size of lhs = 3:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2) | P_join-{T}(V1,V3,V3)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #153: exists( #6, #151 ), references = 1, size of lhs = 12:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_join-{F}(V2,V0,V1), P_meet-{F}(V1,V0,V3), P_join-{F}(V0,V4,V5), P_join-{F}(V0,V5,V6), P_join-{F}(V6,V5,V7), V7 == V5, P_meet-{F}(V8,V9,V5), P_join-{F}(V8,V9,V10), P_join-{F}(V11,V5,V12), P_meet-{F}(V9,V12,V13) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #172: exists( #6, #170 ), references = 3, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_join-{F}(V2,V0,V1), P_meet-{F}(V1,V0,V3), P_join-{F}(V1,V4,V4), P_join-{F}(V0,V5,V4), P_join-{F}(V0,V6,V4), P_meet-{F}(V7,V4,V6) | P_join-{T}(V4,V1,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #184: exists( #6, #182 ), references = 13, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V4) | P_join-{T}(V4,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #196: exists( #7, #194 ), references = 2, size of lhs = 14:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V3,V3), P_meet-{F}(V3,V3,V2), P_join-{F}(V3,V3,V2), P_meet-{F}(V4,V2,V2), P_join-{F}(V5,V5,V2), P_meet-{F}(V5,V5,V6), P_meet-{F}(V0,V5,V7), P_meet-{F}(V0,V8,V7), P_join-{F}(V7,V9,V2), P_join-{F}(V10,V7,V0) | P_meet-{T}(V2,V0,V7)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #213: mergings( V0 == V3, V3 == V6, V1 == V9, V9 == V10; #208 ), references = 3, size of lhs = 17:
% 12.16/12.36 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V3,V3), P_meet-{F}(V3,V4,V4), P_meet-{F}(V4,V4,V3), P_join-{F}(V4,V4,V3), P_meet-{F}(V5,V3,V3), P_meet-{F}(V3,V6,V7), P_join-{F}(V7,V8,V0), P_join-{F}(V9,V7,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #222: exists( #7, #220 ), references = 3, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V3) | P_meet-{T}(V0,V3,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #239: mergings( V0 == V5; #237 ), references = 8, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_join-{F}(V4,V0,V5) | P_meet-{T}(V0,V5,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #258: exists( #7, #256 ), references = 4, size of lhs = 6:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V1,V3), P_join-{F}(V3,V4,V5), P_meet-{F}(V5,V0,V6), P_meet-{F}(V6,V3,V7), V7 == V3 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #262: exists( #7, #260 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_join-{F}(V4,V4,V5), P_meet-{F}(V6,V5,V0) | P_meet-{T}(V0,V4,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #276: exists( #6, #274 ), references = 2, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_meet-{F}(V4,V0,V4) | P_join-{T}(V4,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #391: mergings( V3 == V5; #388 ), references = 1, size of lhs = 23:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V3,V3), P_meet-{F}(V3,V3,V2), P_join-{F}(V3,V3,V2), P_meet-{F}(V4,V2,V2), P_meet-{F}(V2,V5,V5), P_meet-{F}(V5,V5,V2), P_join-{F}(V5,V5,V2), P_meet-{F}(V6,V2,V2), P_meet-{F}(V7,V2,V2), P_meet-{F}(V8,V9,V0), P_join-{F}(V8,V9,V10), P_meet-{F}(V9,V11,V2), P_join-{F}(V12,V0,V11), P_meet-{F}(V13,V14,V2), P_join-{F}(V13,V13,V15), V15 == V13, P_meet-{F}(V13,V16,V2), P_meet-{F}(V17,V13,V0) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #395: mergings( V6 == V11, V3 == V5, V11 == V13; #389 ), references = 1, size of lhs = 23:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V3,V3), P_meet-{F}(V3,V3,V2), P_join-{F}(V3,V3,V2), P_meet-{F}(V4,V2,V2), P_meet-{F}(V2,V5,V5), P_meet-{F}(V5,V5,V2), P_join-{F}(V5,V5,V2), P_meet-{F}(V6,V2,V2), P_join-{F}(V7,V2,V2), P_meet-{F}(V8,V2,V2), P_meet-{F}(V9,V10,V0), P_join-{F}(V9,V10,V11), P_meet-{F}(V10,V12,V2), P_join-{F}(V13,V0,V12), P_join-{F}(V14,V14,V15), V15 == V14, P_meet-{F}(V14,V16,V2), P_meet-{F}(V17,V14,V0) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #411: mergings( V4 == V6; #408 ), references = 1, size of lhs = 13:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V0), P_join-{F}(V2,V0,V1), P_join-{F}(V2,V2,V3), V3 == V2, P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V5,V4,V4), P_meet-{F}(V6,V2,V4), P_join-{F}(V6,V2,V7), P_join-{F}(V8,V4,V0), P_meet-{F}(V9,V2,V4) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #413: mergings( V4 == V6; #409 ), references = 1, size of lhs = 13:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V0), P_join-{F}(V2,V0,V1), P_join-{F}(V2,V2,V3), V3 == V2, P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V5,V4,V4), P_meet-{F}(V6,V2,V4), P_join-{F}(V6,V2,V7), P_join-{F}(V8,V4,V0), P_meet-{F}(V9,V2,V4) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #428: mergings( V3 == V0, V4 == V0; #424 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V0), P_join-{F}(V4,V0,V3), P_join-{F}(V4,V4,V5), V5 == V4, P_join-{F}(V0,V4,V6) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #431: mergings( V3 == V0, V4 == V0; #425 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V0), P_join-{F}(V4,V0,V3), P_join-{F}(V4,V4,V5), V5 == V4, P_join-{F}(V0,V4,V6) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #436: mergings( V2 == V4, V3 == V4; #432 ), references = 2, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V0), P_join-{F}(V4,V0,V3), P_join-{F}(V0,V4,V5) | P_join-{T}(V4,V4,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #439: mergings( V2 == V4, V3 == V4; #433 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V0), P_join-{F}(V4,V0,V3), P_join-{F}(V0,V4,V5) | P_join-{T}(V4,V4,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #448: mergings( V1 == V14, V13 == V14; #445 ), references = 1, size of lhs = 26:
% 12.16/12.36 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V4), P_meet-{F}(V4,V4,V0), P_join-{F}(V4,V4,V0), P_meet-{F}(V5,V0,V0), P_a-{F}(V6), P_join-{F}(V7,V6,V0), P_join-{F}(V8,V8,V8), P_meet-{F}(V8,V8,V8), P_meet-{F}(V8,V9,V9), P_meet-{F}(V9,V9,V8), P_join-{F}(V9,V9,V8), P_meet-{F}(V10,V8,V8), P_join-{F}(V8,V11,V8), P_meet-{F}(V8,V12,V12), P_meet-{F}(V12,V12,V8), P_join-{F}(V12,V12,V8), P_meet-{F}(V13,V8,V8), P_join-{F}(V8,V6,V14) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #468: mergings( V7 == V1, V8 == V1; #465 ), references = 2, size of lhs = 20:
% 12.16/12.36 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V3), P_meet-{F}(V3,V3,V0), P_join-{F}(V3,V3,V0), P_meet-{F}(V4,V0,V0), P_a-{F}(V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V5,V5), P_meet-{F}(V5,V6,V6), P_meet-{F}(V6,V6,V5), P_join-{F}(V6,V6,V5), P_meet-{F}(V7,V5,V5), P_join-{F}(V0,V5,V8), P_meet-{F}(V5,V8,V9) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #471: exists( #6, #469 ), references = 1, size of lhs = 23:
% 12.16/12.36 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V3), P_meet-{F}(V3,V3,V0), P_join-{F}(V3,V3,V0), P_meet-{F}(V4,V0,V0), P_a-{F}(V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V5,V5), P_meet-{F}(V5,V6,V6), P_meet-{F}(V6,V6,V5), P_join-{F}(V6,V6,V5), P_meet-{F}(V7,V5,V5), P_join-{F}(V5,V8,V5), P_meet-{F}(V5,V9,V9), P_meet-{F}(V9,V9,V5), P_join-{F}(V9,V9,V5), P_meet-{F}(V10,V5,V5) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #476: exists( #6, #474 ), references = 1, size of lhs = 24:
% 12.16/12.36 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V3), P_meet-{F}(V3,V3,V0), P_join-{F}(V3,V3,V0), P_meet-{F}(V4,V0,V0), P_a-{F}(V5), P_join-{F}(V6,V6,V6), P_meet-{F}(V6,V6,V6), P_meet-{F}(V6,V7,V7), P_meet-{F}(V7,V7,V6), P_join-{F}(V7,V7,V6), P_meet-{F}(V8,V6,V6), P_join-{F}(V6,V9,V6), P_meet-{F}(V6,V10,V10), P_meet-{F}(V10,V10,V6), P_join-{F}(V10,V10,V6), P_meet-{F}(V11,V6,V6), P_join-{F}(V6,V5,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #478: exists( #6, #475 ), references = 2, size of lhs = 23:
% 12.16/12.36 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V3,V3), P_meet-{F}(V3,V3,V0), P_join-{F}(V3,V3,V0), P_meet-{F}(V4,V0,V0), P_a-{F}(V5), P_join-{F}(V6,V6,V6), P_meet-{F}(V6,V6,V6), P_meet-{F}(V6,V7,V7), P_meet-{F}(V7,V7,V6), P_join-{F}(V7,V7,V6), P_meet-{F}(V8,V6,V6), P_join-{F}(V6,V9,V6), P_meet-{F}(V6,V10,V10), P_meet-{F}(V10,V10,V6), P_join-{F}(V10,V10,V6), P_meet-{F}(V11,V6,V6) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #493: exists( #7, #64 ), references = 1, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V1,V0), P_join-{F}(V1,V0,V2), V2 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #495: exists( #6, #492 ), references = 4, size of lhs = 1:
% 12.16/12.36 P_join-{F}(V0,V1,V0) | P_join-{T}(V1,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #506: exists( #6, #502 ), references = 1, size of lhs = 14:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V4), P_meet-{F}(V4,V4,V0), P_join-{F}(V4,V4,V0), P_meet-{F}(V5,V0,V0), P_join-{F}(V6,V6,V7), V7 == V6, P_join-{F}(V0,V6,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #507: exists( #6, #503 ), references = 1, size of lhs = 14:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V4), P_meet-{F}(V4,V4,V0), P_join-{F}(V4,V4,V0), P_meet-{F}(V5,V0,V0), P_join-{F}(V6,V6,V7), V7 == V6, P_join-{F}(V0,V6,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #510: exists( #6, #504 ), references = 1, size of lhs = 12:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V4), P_meet-{F}(V4,V4,V0), P_join-{F}(V4,V4,V0), P_meet-{F}(V5,V0,V0), P_join-{F}(V0,V6,V7) | P_join-{T}(V6,V6,V6)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #511: exists( #6, #505 ), references = 1, size of lhs = 12:
% 12.16/12.36 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V4), P_meet-{F}(V4,V4,V0), P_join-{F}(V4,V4,V0), P_meet-{F}(V5,V0,V0), P_join-{F}(V0,V6,V7) | P_join-{T}(V6,V6,V6)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #515: exists( #6, #513 ), references = 2, size of lhs = 24:
% 12.16/12.36 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V3,V3), P_meet-{F}(V3,V3,V2), P_join-{F}(V3,V3,V2), P_meet-{F}(V4,V2,V2), P_join-{F}(V2,V5,V2), P_meet-{F}(V2,V6,V6), P_meet-{F}(V6,V6,V2), P_join-{F}(V6,V6,V2), P_meet-{F}(V7,V2,V2), P_join-{F}(V8,V8,V8), P_meet-{F}(V8,V8,V8), P_meet-{F}(V8,V9,V9), P_meet-{F}(V9,V9,V8), P_join-{F}(V9,V9,V8), P_meet-{F}(V10,V8,V8), P_join-{F}(V8,V11,V8), P_meet-{F}(V8,V12,V12), P_meet-{F}(V12,V12,V8), P_join-{F}(V12,V12,V8), P_meet-{F}(V13,V8,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #541: exists( #7, #537 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V4), P_meet-{F}(V5,V4,V1), P_meet-{F}(V0,V3,V6), P_meet-{F}(V6,V1,V7), V7 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #542: exists( #7, #538 ), references = 1, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V1,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V5,V1,V6), V6 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #545: exists( #7, #539 ), references = 7, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V4), P_meet-{F}(V5,V4,V1), P_meet-{F}(V0,V3,V6) | P_meet-{T}(V6,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #546: exists( #7, #540 ), references = 11, size of lhs = 4:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V1,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V5,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #564: exists( #7, #560 ), references = 2, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V0,V3,V4), V4 == V3 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #582: mergings( V2 == V6; #580 ), references = 6, size of lhs = 4:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V1,V3), P_meet-{F}(V4,V0,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #609: exists( #6, #605 ), references = 2, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V0,V6,V7), P_meet-{F}(V8,V0,V7), P_join-{F}(V0,V9,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #626: exists( #7, #622 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V0,V1), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V1), P_join-{F}(V3,V1,V4), P_meet-{F}(V1,V4,V5), P_meet-{F}(V1,V6,V5), P_join-{F}(V5,V7,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #627: exists( #7, #623 ), references = 1, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V1,V4,V3), P_join-{F}(V3,V5,V0) | P_meet-{T}(V0,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #641: exists( #6, #639 ), references = 3, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V0,V5,V6), P_meet-{F}(V6,V0,V7), P_meet-{F}(V0,V8,V9), P_join-{F}(V9,V0,V10), P_join-{F}(V10,V0,V11), V11 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #652: exists( #6, #648 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V0,V6,V7), P_meet-{F}(V7,V0,V8), V1 == V8, P_join-{F}(V9,V0,V8), P_meet-{F}(V0,V10,V9) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #653: exists( #6, #649 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V1,V2), V2 == V0, P_meet-{F}(V0,V3,V4), P_meet-{F}(V5,V0,V6), P_join-{F}(V0,V7,V8), P_meet-{F}(V8,V0,V9), P_join-{F}(V10,V0,V9), P_meet-{F}(V0,V11,V10) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #667: exists( #7, #660 ), references = 1, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V1), V1 == V3, P_meet-{F}(V4,V3,V1), P_join-{F}(V5,V1,V6) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #669: mergings( V1 == V3; #665 ), references = 1, size of lhs = 4:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V1,V1), P_join-{F}(V1,V1,V2), V2 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #670: exists( #7, #661 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V1), P_meet-{F}(V3,V3,V4), P_join-{F}(V4,V1,V5), V5 == V3, P_join-{F}(V6,V1,V7) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #672: exists( #6, #664 ), references = 1, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V1), V1 == V3, P_meet-{F}(V4,V3,V1) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #698: exists( #7, #692 ), references = 2, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V1), P_join-{F}(V13,V9,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #699: exists( #7, #693 ), references = 2, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V1), P_join-{F}(V13,V9,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #700: exists( #7, #694 ), references = 2, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V1), P_join-{F}(V13,V9,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #707: exists( #6, #701 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V9,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V13), P_meet-{F}(V14,V9,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #708: exists( #6, #702 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V9,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V13), P_meet-{F}(V14,V9,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #709: exists( #6, #703 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V9,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V13), P_meet-{F}(V14,V9,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #713: exists( #7, #704 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V9,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V13), P_meet-{F}(V14,V9,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #714: exists( #7, #705 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V9,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V13), P_meet-{F}(V14,V9,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #715: exists( #7, #706 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V3,V4), P_join-{F}(V5,V5,V1), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V7,V6), V1 == V7, P_join-{F}(V7,V7,V1), P_join-{F}(V8,V7,V1), P_meet-{F}(V9,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V7,V11,V10), P_meet-{F}(V9,V12,V13), P_meet-{F}(V14,V9,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #758: mergings( V1 == V4; #756 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), V2 == V0, P_join-{F}(V0,V2,V2), P_join-{F}(V0,V3,V2), P_meet-{F}(V0,V3,V4), P_join-{F}(V5,V0,V4), P_join-{F}(V6,V4,V2) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #760: mergings( V3 == V8; #754 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V0 == V1, P_meet-{F}(V0,V2,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V0,V3,V3), P_meet-{F}(V0,V4,V1), P_join-{F}(V5,V0,V1), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V1,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #763: mergings( V3 == V6, V6 == V10; #755 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V0,V3,V3), P_meet-{F}(V0,V4,V1), P_join-{F}(V5,V0,V1), P_join-{F}(V0,V6,V1), P_meet-{F}(V0,V0,V7), V7 == V0, P_join-{F}(V8,V1,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #775: exists( #7, #771 ), references = 2, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5), P_meet-{F}(V0,V6,V7), P_join-{F}(V8,V0,V7), P_meet-{F}(V0,V9,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #779: exists( #7, #777 ), references = 2, size of lhs = 8:
% 12.16/12.36 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V0,V5,V6), P_join-{F}(V6,V0,V7), P_join-{F}(V0,V8,V9), P_meet-{F}(V9,V0,V10), P_meet-{F}(V10,V0,V11), V11 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #801: exists( #7, #795 ), references = 3, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V1), P_join-{F}(V6,V3,V5), P_meet-{F}(V7,V7,V8), V8 == V7, P_join-{F}(V7,V9,V4), P_join-{F}(V10,V7,V1), P_join-{F}(V7,V11,V1), P_join-{F}(V7,V12,V13), P_join-{F}(V14,V7,V15), P_meet-{F}(V7,V16,V17), P_join-{F}(V17,V7,V18) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #802: exists( #7, #797 ), references = 3, size of lhs = 11:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V1), P_join-{F}(V6,V3,V5), P_join-{F}(V7,V8,V1), P_join-{F}(V9,V7,V10), P_meet-{F}(V10,V7,V11), V11 == V7, P_join-{F}(V10,V12,V4), P_join-{F}(V13,V10,V1) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #803: exists( #7, #796 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V1,V3,V3), P_join-{F}(V3,V3,V4), V4 == V1, P_join-{F}(V5,V3,V1), P_meet-{F}(V0,V6,V7), P_join-{F}(V3,V8,V7), P_meet-{F}(V6,V9,V1), P_join-{F}(V10,V6,V9) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #829: exists( #7, #825 ), references = 1, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V4,V1), V4 == V0, P_join-{F}(V3,V4,V2) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #836: exists( #7, #832 ), references = 1, size of lhs = 17:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V3,V8), P_meet-{F}(V3,V9,V10), P_join-{F}(V10,V3,V11), P_meet-{F}(V12,V12,V13), V13 == V12, P_join-{F}(V12,V14,V4), P_join-{F}(V15,V12,V1), P_join-{F}(V12,V16,V1), P_join-{F}(V12,V17,V18), P_join-{F}(V19,V12,V20), P_meet-{F}(V12,V21,V22), P_join-{F}(V22,V12,V23) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #838: mergings( V4 == V9; #835 ), references = 2, size of lhs = 12:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), V1 == V3, P_meet-{F}(V0,V3,V4), P_join-{F}(V3,V5,V1), P_join-{F}(V3,V6,V4), P_join-{F}(V7,V3,V1), P_join-{F}(V3,V8,V9), P_join-{F}(V10,V3,V11), P_meet-{F}(V3,V12,V13), P_join-{F}(V13,V3,V14) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #841: exists( #6, #834 ), references = 2, size of lhs = 16:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V3,V8), P_meet-{F}(V3,V9,V10), P_meet-{F}(V11,V11,V12), V12 == V11, P_join-{F}(V11,V13,V4), P_join-{F}(V14,V11,V1), P_join-{F}(V11,V15,V1), P_join-{F}(V11,V16,V17), P_join-{F}(V18,V11,V19), P_meet-{F}(V11,V20,V21), P_join-{F}(V21,V11,V22) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #844: exists( #7, #641 ), references = 7, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V5,V6), P_join-{F}(V6,V0,V7), P_join-{F}(V7,V0,V8), V8 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #858: exists( #6, #841 ), references = 1, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V3,V8), P_meet-{F}(V3,V9,V10), P_meet-{F}(V11,V11,V12), V12 == V11, P_join-{F}(V11,V13,V4), P_join-{F}(V14,V11,V1), P_join-{F}(V11,V15,V1), P_join-{F}(V11,V16,V17), P_meet-{F}(V11,V18,V19) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #860: exists( #7, #855 ), references = 1, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V3,V8), P_meet-{F}(V3,V9,V10), P_meet-{F}(V11,V11,V12), V12 == V11, P_join-{F}(V11,V13,V4), P_join-{F}(V14,V11,V1), P_join-{F}(V11,V15,V1), P_join-{F}(V11,V16,V17), P_meet-{F}(V11,V18,V19) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #862: exists( #7, #859 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V3,V8), P_meet-{F}(V3,V9,V10), P_join-{F}(V11,V12,V4), P_join-{F}(V13,V11,V1), P_join-{F}(V11,V14,V1), P_join-{F}(V11,V15,V16) | P_meet-{T}(V11,V11,V11)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #865: exists( #7, #609 ), references = 1, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V2), P_join-{F}(V0,V4,V3) | P_meet-{T}(V0,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #905: exists( #7, #903 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V1), P_join-{F}(V1,V4,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V3,V8), P_meet-{F}(V3,V9,V10) | P_meet-{T}(V1,V4,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #940: exists( #7, #934 ), references = 1, size of lhs = 5:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V0,V1), P_join-{F}(V1,V3,V4), P_join-{F}(V5,V1,V6) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #941: exists( #7, #935 ), references = 5, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V5), P_join-{F}(V1,V6,V7), P_meet-{F}(V7,V0,V8), P_meet-{F}(V8,V1,V9), V9 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #942: exists( #7, #936 ), references = 1, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V1,V2,V3), V3 == V0, P_join-{F}(V2,V4,V5), P_join-{F}(V6,V2,V7) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #945: exists( #7, #943 ), references = 1, size of lhs = 6:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V0,V1), P_meet-{F}(V3,V4,V1), P_join-{F}(V3,V4,V5), P_join-{F}(V6,V1,V7) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #947: exists( #6, #944 ), references = 1, size of lhs = 5:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V0,V1), P_meet-{F}(V3,V4,V1), P_join-{F}(V3,V4,V5) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #958: exists( #7, #956 ), references = 3, size of lhs = 5:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V0,V2), P_meet-{F}(V3,V2,V1), P_join-{F}(V3,V2,V1), P_join-{F}(V4,V1,V5) | P_meet-{T}(V2,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #972: exists( #7, #968 ), references = 3, size of lhs = 9:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V1), P_join-{F}(V6,V3,V5), P_meet-{F}(V7,V8,V1), P_join-{F}(V7,V8,V4), P_join-{F}(V8,V4,V9), V9 == V4 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #973: exists( #7, #969 ), references = 3, size of lhs = 9:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V1), P_join-{F}(V6,V3,V5), P_meet-{F}(V7,V4,V8), P_join-{F}(V1,V8,V9), P_join-{F}(V9,V4,V10), V10 == V4 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #976: exists( #6, #972 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V1), P_join-{F}(V6,V3,V5), P_meet-{F}(V7,V8,V1), P_join-{F}(V7,V8,V4) | P_join-{T}(V8,V4,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #991: mergings( V4 == V7, V7 == V11; #986 ), references = 1, size of lhs = 15:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V1), V1 == V3, P_meet-{F}(V3,V3,V1), P_meet-{F}(V4,V4,V1), P_meet-{F}(V4,V3,V1), P_join-{F}(V4,V4,V5), P_meet-{F}(V6,V3,V1), P_join-{F}(V6,V3,V1), P_join-{F}(V7,V3,V1), P_join-{F}(V3,V8,V9), P_join-{F}(V10,V3,V11), P_meet-{F}(V3,V12,V13), P_join-{F}(V13,V3,V14) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #992: exists( #7, #984 ), references = 1, size of lhs = 20:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_meet-{F}(V5,V5,V4), P_join-{F}(V5,V5,V6), P_meet-{F}(V7,V7,V4), V4 == V7, P_meet-{F}(V5,V7,V4), P_meet-{F}(V8,V7,V1), P_join-{F}(V8,V7,V4), P_join-{F}(V9,V7,V4), P_join-{F}(V3,V10,V11), P_join-{F}(V12,V3,V13), P_meet-{F}(V3,V14,V15), P_join-{F}(V15,V3,V16), P_join-{F}(V7,V17,V18), P_join-{F}(V19,V7,V20), P_meet-{F}(V7,V21,V22), P_join-{F}(V22,V7,V23) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #994: mergings( V4 == V7; #988 ), references = 1, size of lhs = 20:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V1), P_meet-{F}(V3,V3,V1), P_meet-{F}(V4,V4,V1), P_meet-{F}(V4,V3,V1), P_join-{F}(V4,V4,V5), P_join-{F}(V3,V6,V7), P_join-{F}(V8,V3,V9), P_meet-{F}(V3,V10,V11), P_join-{F}(V11,V3,V12), P_meet-{F}(V13,V14,V1), P_join-{F}(V13,V14,V1), P_meet-{F}(V14,V14,V15), V15 == V14, P_join-{F}(V16,V14,V1), P_join-{F}(V14,V17,V18), P_join-{F}(V19,V14,V20), P_meet-{F}(V14,V21,V22), P_join-{F}(V22,V14,V23) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1000: mergings( V4 == V6, V6 == V10; #995 ), references = 1, size of lhs = 14:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V1), V1 == V3, P_meet-{F}(V3,V3,V1), P_meet-{F}(V4,V4,V1), P_meet-{F}(V4,V3,V1), P_join-{F}(V4,V4,V5), P_meet-{F}(V6,V3,V1), P_join-{F}(V6,V3,V1), P_join-{F}(V7,V3,V1), P_join-{F}(V3,V8,V9), P_join-{F}(V10,V3,V11), P_meet-{F}(V3,V12,V13) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1002: mergings( V4 == V6; #996 ), references = 1, size of lhs = 17:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V1), V1 == V3, P_meet-{F}(V3,V3,V1), P_meet-{F}(V4,V4,V1), P_meet-{F}(V4,V3,V1), P_join-{F}(V4,V4,V5), P_meet-{F}(V6,V3,V1), P_join-{F}(V6,V3,V1), P_join-{F}(V7,V3,V1), P_join-{F}(V3,V8,V9), P_join-{F}(V10,V3,V11), P_meet-{F}(V3,V12,V13), P_meet-{F}(V3,V14,V13), P_join-{F}(V3,V15,V16), P_join-{F}(V17,V3,V18) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1005: mergings( V4 == V6, V6 == V15; #997 ), references = 1, size of lhs = 17:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V1), V1 == V3, P_meet-{F}(V3,V3,V1), P_meet-{F}(V4,V4,V1), P_meet-{F}(V4,V3,V1), P_join-{F}(V4,V4,V5), P_meet-{F}(V6,V3,V1), P_join-{F}(V6,V3,V1), P_join-{F}(V7,V3,V1), P_join-{F}(V3,V8,V9), P_join-{F}(V10,V3,V11), P_meet-{F}(V3,V12,V13), P_meet-{F}(V3,V14,V13), P_join-{F}(V3,V15,V16), P_join-{F}(V17,V3,V18) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1030: exists( #6, #1026 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V3,V8), P_meet-{F}(V9,V10,V1), P_join-{F}(V9,V10,V4), P_join-{F}(V10,V4,V11), V11 == V4 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1032: exists( #6, #1028 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V6), P_meet-{F}(V7,V3,V8), P_meet-{F}(V9,V10,V1), P_join-{F}(V9,V10,V4) | P_join-{T}(V10,V4,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1037: exists( #6, #973 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V5,V1), P_join-{F}(V6,V3,V5), P_meet-{F}(V7,V4,V8), P_join-{F}(V1,V8,V9) | P_join-{T}(V9,V4,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1043: exists( #7, #1041 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_join-{F}(V1,V4,V5), P_join-{F}(V5,V4,V6), V6 == V4, P_meet-{F}(V3,V7,V1), P_join-{F}(V8,V3,V7), P_join-{F}(V4,V9,V10), P_join-{F}(V11,V4,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1045: exists( #6, #1042 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V4), P_join-{F}(V1,V4,V5), P_meet-{F}(V3,V6,V1), P_join-{F}(V7,V3,V6), P_join-{F}(V4,V8,V9), P_join-{F}(V10,V4,V11) | P_join-{T}(V5,V4,V4)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1056: exists( #6, #1052 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V0,V2), V2 == V1, P_meet-{F}(V3,V2,V1), P_join-{F}(V3,V2,V1), P_meet-{F}(V4,V2,V1), P_join-{F}(V4,V2,V1), P_meet-{F}(V5,V2,V1) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1057: exists( #6, #1053 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V0,V2), P_meet-{F}(V3,V2,V1), P_join-{F}(V3,V2,V1), P_meet-{F}(V4,V2,V1), P_join-{F}(V4,V2,V1), P_meet-{F}(V5,V2,V1), P_join-{F}(V2,V2,V6), V6 == V2 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1090: exists( #6, #844 ), references = 2, size of lhs = 4:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V5,V6), P_join-{F}(V6,V0,V7) | P_join-{T}(V7,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1091: exists( #6, #57 ), references = 3, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V4,V2,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V2,V7,V8), P_join-{F}(V8,V2,V9) | P_join-{T}(V9,V2,V2)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1094: exists( #7, #941 ), references = 7, size of lhs = 5:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V5), P_join-{F}(V1,V6,V7), P_meet-{F}(V7,V0,V8) | P_meet-{T}(V8,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1110: exists( #6, #1105 ), references = 1, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V1,V4,V5), P_meet-{F}(V5,V0,V6), P_meet-{F}(V6,V6,V7), P_join-{F}(V6,V6,V8), P_meet-{F}(V9,V6,V7), P_meet-{F}(V6,V10,V1), P_join-{F}(V6,V10,V1), P_meet-{F}(V11,V12,V7), P_join-{F}(V11,V12,V1) | P_join-{T}(V12,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1111: exists( #6, #1106 ), references = 1, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V4,V4,V3), P_join-{F}(V4,V4,V5), P_meet-{F}(V4,V6,V1), P_join-{F}(V4,V6,V1), P_meet-{F}(V7,V4,V3), P_meet-{F}(V8,V0,V4), P_join-{F}(V1,V9,V8), P_join-{F}(V1,V10,V11) | P_join-{T}(V2,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1113: mergings( V4 == V9; #1109 ), references = 1, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V4,V4,V3), P_join-{F}(V4,V4,V5), P_meet-{F}(V4,V6,V1), P_join-{F}(V4,V6,V1), P_meet-{F}(V7,V4,V3), P_meet-{F}(V8,V0,V4), P_join-{F}(V1,V9,V8), P_join-{F}(V1,V10,V11) | P_join-{T}(V2,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1136: exists( #7, #1130 ), references = 2, size of lhs = 6:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V3,V4), V4 == V3, P_meet-{F}(V0,V5,V3), P_join-{F}(V6,V2,V5) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1148: exists( #7, #1146 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V2,V4,V1), P_join-{F}(V1,V2,V5), V5 == V2, P_meet-{F}(V6,V0,V3), P_meet-{F}(V6,V7,V1), P_join-{F}(V6,V7,V8), P_join-{F}(V9,V1,V10) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1150: exists( #6, #1147 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V2,V4,V1), P_meet-{F}(V5,V0,V3), P_meet-{F}(V5,V6,V1), P_join-{F}(V5,V6,V7), P_join-{F}(V8,V1,V9) | P_join-{T}(V1,V2,V2)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1154: mergings( V1 == V11; #1152 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), V1 == V2, P_meet-{F}(V2,V2,V3), P_meet-{F}(V2,V4,V1), P_meet-{F}(V5,V0,V3), P_meet-{F}(V5,V6,V1), P_join-{F}(V5,V6,V7), P_meet-{F}(V2,V8,V1), P_meet-{F}(V2,V9,V10), P_join-{F}(V2,V11,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1169: exists( #7, #1167 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_join-{F}(V1,V3,V3), P_meet-{F}(V0,V1,V4), V4 == V1, P_join-{F}(V0,V5,V1), P_join-{F}(V6,V0,V3), P_join-{F}(V1,V7,V8), P_join-{F}(V9,V1,V10) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1187: mergings( V1 == V5; #1184 ), references = 1, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V1,V1), P_join-{F}(V0,V1,V2), P_join-{F}(V1,V2,V2), P_join-{F}(V3,V1,V2), P_meet-{F}(V2,V2,V4) | P_meet-{T}(V1,V2,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1188: exists( #7, #1182 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_meet-{F}(V0,V1,V1), P_join-{F}(V0,V1,V2), P_join-{F}(V3,V1,V2), P_join-{F}(V1,V2,V4), P_meet-{F}(V2,V4,V5), P_join-{F}(V6,V7,V1), P_join-{F}(V8,V6,V2) | P_meet-{T}(V1,V2,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1189: exists( #7, #1180 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V2,V0,V3), P_meet-{F}(V4,V5,V5), P_join-{F}(V4,V5,V2), P_join-{F}(V5,V2,V6), P_meet-{F}(V2,V6,V7), P_join-{F}(V8,V5,V2) | P_meet-{T}(V5,V2,V5)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1204: mergings( V4 == V6, V5 == V7; #1199 ), references = 1, size of lhs = 8:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V2), V1 == V2, P_join-{F}(V2,V2,V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V4,V0,V3), P_join-{F}(V1,V5,V4), P_join-{F}(V1,V6,V7) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1207: mergings( V4 == V7, V6 == V8; #1200 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V2), V1 == V2, P_join-{F}(V2,V2,V1), P_join-{F}(V3,V2,V2), P_meet-{F}(V2,V2,V4), P_join-{F}(V2,V5,V1), P_meet-{F}(V6,V0,V4), P_join-{F}(V1,V7,V6), P_join-{F}(V1,V8,V9) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1211: mergings( V4 == V8, V1 == V7, V5 == V9; #1201 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V2), V1 == V2, P_join-{F}(V2,V2,V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V2,V4,V3), P_meet-{F}(V5,V0,V3), P_join-{F}(V1,V6,V5), P_join-{F}(V1,V7,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1243: exists( #7, #1238 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V5), P_meet-{F}(V6,V0,V7), P_meet-{F}(V7,V1,V8), V8 == V1, P_join-{F}(V9,V6,V1), P_meet-{F}(V6,V10,V9), P_meet-{F}(V11,V12,V6), P_join-{F}(V11,V12,V13), P_join-{F}(V14,V6,V15) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1244: exists( #7, #1240 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V5), P_meet-{F}(V6,V3,V7), P_meet-{F}(V7,V0,V8), P_meet-{F}(V8,V1,V9), V9 == V1, P_join-{F}(V6,V3,V10), P_join-{F}(V11,V7,V5), P_join-{F}(V12,V7,V1), P_meet-{F}(V7,V13,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1251: exists( #7, #1247 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), V4 == V1, P_join-{F}(V0,V5,V1), P_join-{F}(V6,V0,V3), P_join-{F}(V1,V3,V7), P_join-{F}(V1,V8,V9), P_join-{F}(V10,V1,V11) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1252: exists( #7, #1248 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), V4 == V1, P_join-{F}(V5,V1,V1), P_join-{F}(V0,V6,V1), P_join-{F}(V7,V0,V3), P_join-{F}(V1,V8,V3), P_join-{F}(V1,V3,V9) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1255: exists( #6, #1249 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), V4 == V1, P_join-{F}(V0,V5,V1), P_join-{F}(V6,V0,V3), P_join-{F}(V1,V7,V8), P_join-{F}(V9,V1,V10) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1256: exists( #6, #1250 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V1,V4), V4 == V1, P_join-{F}(V5,V1,V1), P_join-{F}(V0,V6,V1), P_join-{F}(V7,V0,V3), P_join-{F}(V1,V8,V3) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1259: exists( #7, #1253 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_join-{F}(V0,V4,V1), P_join-{F}(V5,V0,V3), P_join-{F}(V1,V6,V7), P_join-{F}(V8,V1,V9) | P_meet-{T}(V0,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1260: exists( #7, #1254 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_meet-{F}(V1,V2,V0), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V1), P_join-{F}(V0,V5,V1), P_join-{F}(V6,V0,V3), P_join-{F}(V1,V7,V3) | P_meet-{T}(V0,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1276: exists( #7, #1243 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V5), P_meet-{F}(V6,V0,V7), P_join-{F}(V8,V6,V1), P_meet-{F}(V6,V9,V8), P_meet-{F}(V10,V11,V6), P_join-{F}(V10,V11,V12), P_join-{F}(V13,V6,V14) | P_meet-{T}(V7,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1277: exists( #7, #1244 ), references = 1, size of lhs = 9:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V4,V1,V5), P_meet-{F}(V6,V3,V7), P_meet-{F}(V7,V0,V8), P_join-{F}(V6,V3,V9), P_join-{F}(V10,V7,V5), P_join-{F}(V11,V7,V1), P_meet-{F}(V7,V12,V11) | P_meet-{T}(V8,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1285: exists( #6, #1281 ), references = 2, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), P_join-{F}(V3,V3,V1), V1 == V3, P_meet-{F}(V3,V3,V4), P_meet-{F}(V3,V2,V4), P_meet-{F}(V5,V0,V3), P_join-{F}(V1,V6,V5), P_join-{F}(V1,V7,V8), P_meet-{F}(V3,V9,V10), P_join-{F}(V3,V11,V12) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1286: exists( #6, #1282 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V1,V2,V3), P_join-{F}(V1,V4,V5), P_meet-{F}(V5,V0,V6), P_join-{F}(V6,V7,V1), P_meet-{F}(V6,V7,V8), P_join-{F}(V9,V8,V1) | P_join-{T}(V6,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1289: exists( #7, #1285 ), references = 1, size of lhs = 7:
% 12.16/12.36 P_join-{F}(V0,V0,V1), P_join-{F}(V2,V2,V1), V1 == V2, P_meet-{F}(V3,V0,V2), P_join-{F}(V1,V4,V3), P_join-{F}(V1,V5,V6), P_join-{F}(V2,V7,V8) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1334: exists( #7, #1329 ), references = 3, size of lhs = 4:
% 12.16/12.36 P_meet-{F}(V0,V1,V1), P_join-{F}(V0,V1,V2), P_join-{F}(V1,V1,V3), V3 == V1 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1342: exists( #6, #1334 ), references = 1, size of lhs = 2:
% 12.16/12.36 P_meet-{F}(V0,V1,V1), P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V1,V1)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1360: exists( #7, #1358 ), references = 1, size of lhs = 4:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V1), P_join-{F}(V3,V2,V2) | P_meet-{T}(V3,V2,V3)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1368: mergings( V2 == V3; #1364 ), references = 1, size of lhs = 3:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V1,V1) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1396: mergings( V5 == V3; #1393 ), references = 1, size of lhs = 5:
% 12.16/12.36 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V0,V1), V0 == V3, P_join-{F}(V3,V0,V2) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1429: exists( #7, #1423 ), references = 1, size of lhs = 11:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V5,V3,V0), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_meet-{F}(V6,V9,V5), P_join-{F}(V10,V3,V9), P_meet-{F}(V0,V11,V12), P_join-{F}(V0,V13,V14) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1430: exists( #7, #1424 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V4,V5,V2), P_join-{F}(V6,V2,V7), P_meet-{F}(V0,V7,V8), P_join-{F}(V8,V2,V9), P_meet-{F}(V9,V10,V2), P_meet-{F}(V11,V4,V9), P_join-{F}(V9,V4,V12), V12 == V4 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1431: exists( #7, #1425 ), references = 1, size of lhs = 13:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V5,V3,V0), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_meet-{F}(V6,V9,V5), P_join-{F}(V10,V3,V9), P_meet-{F}(V0,V11,V12), P_meet-{F}(V13,V0,V14), P_join-{F}(V0,V15,V16), P_meet-{F}(V16,V0,V17) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1439: mergings( V1 == V4; #1435 ), references = 1, size of lhs = 6:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V0,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V4,V5), P_join-{F}(V0,V6,V7) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1446: mergings( V2 == V3; #1442 ), references = 1, size of lhs = 4:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V1,V2), P_join-{F}(V0,V3,V4) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1453: mergings( V1 == V3; #1449 ), references = 1, size of lhs = 2:
% 12.16/12.36 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1457: exists( #6, #1455 ), references = 1, size of lhs = 1:
% 12.16/12.36 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1463: mergings( V2 == V3, V3 == V6, V8 == V9, V9 == V12; #1458 ), references = 1, size of lhs = 11:
% 12.16/12.36 P_b-{F}(V0), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_meet-{F}(V2,V1,V1), P_join-{F}(V1,V3,V1), P_meet-{F}(V4,V1,V1), P_meet-{F}(V5,V5,V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V6,V5,V5), P_join-{F}(V5,V7,V5), P_meet-{F}(V8,V5,V5) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1469: mergings( V1 == V2, V2 == V5, V7 == V8, V8 == V11; #1464 ), references = 1, size of lhs = 10:
% 12.16/12.36 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V0,V2,V0), P_meet-{F}(V3,V0,V0), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V5,V4,V4), P_join-{F}(V4,V6,V4), P_meet-{F}(V7,V4,V4) | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 #1472: #1456+#24+#1464, references = 1, size of lhs = 1:
% 12.16/12.36 #-{F} V0 | FALSE
% 12.16/12.36 (used 0 times, uses = {})
% 12.16/12.36
% 12.16/12.36 number of learnt formulas = 156
% 12.16/12.36
% 12.16/12.36
% 12.16/12.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.16/12.36
% 12.16/12.36 randbase = 1
%------------------------------------------------------------------------------