TSTP Solution File: LAT005-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT005-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:07:46 EDT 2022
% Result : Unsatisfiable 66.60s 66.77s
% Output : Refutation 66.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT005-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 20:12:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 66.60/66.77 GeoParameters:
% 66.60/66.77
% 66.60/66.77 tptp_input = 1
% 66.60/66.77 tptp_output = 0
% 66.60/66.77 nonempty = 1
% 66.60/66.77 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.60/66.77 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 66.60/66.77
% 66.60/66.77
% 66.60/66.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.60/66.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.60/66.77
% 66.60/66.77 RuleSystem INPUT:
% 66.60/66.77
% 66.60/66.77 Initial Rules:
% 66.60/66.77 #0: input, references = 4, size of lhs = 2:
% 66.60/66.77 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 66.60/66.77 (used 0 times, uses = {})
% 66.60/66.77
% 66.60/66.77 #1: input, references = 4, size of lhs = 2:
% 66.60/66.77 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 66.60/66.77 (used 0 times, uses = {})
% 66.60/66.77
% 66.60/66.77 #2: input, references = 7, size of lhs = 3:
% 66.60/66.77 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 66.60/66.77 (used 0 times, uses = {})
% 66.60/66.77
% 66.60/66.77 #3: input, references = 6, size of lhs = 3:
% 66.60/66.77 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 66.60/66.77 (used 0 times, uses = {})
% 66.60/66.77
% 66.60/66.77 #4: input, references = 4, size of lhs = 3:
% 66.60/66.77 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #5: input, references = 4, size of lhs = 3:
% 66.60/66.78 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #6: input, references = 9, size of lhs = 5:
% 66.60/66.78 P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #7: input, references = 14, size of lhs = 5:
% 66.60/66.78 P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #8: input, references = 4, size of lhs = 3:
% 66.60/66.78 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #9: input, references = 4, size of lhs = 3:
% 66.60/66.78 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #10: input, references = 4, size of lhs = 4:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #11: input, references = 3, size of lhs = 4:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #12: input, references = 14, size of lhs = 8:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V5,V6), P_meet-{F}(V3,V6,V7), P_meet-{F}(V5,V3,V8), P_join-{F}(V2,V8,V9), V7 == V9 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #13: input, references = 9, size of lhs = 8:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), V6 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #14: input, references = 6, size of lhs = 9:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), V7 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #15: input, references = 5, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), V10 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #16: input, references = 9, size of lhs = 13:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), V11 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #17: input, references = 7, size of lhs = 16:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13), P_b2-{F}(V14), V13 == V14 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #18: input, references = 8, size of lhs = 19:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13), P_b2-{F}(V14), P_meet-{F}(V4,V2,V15), P_join-{F}(V8,V15,V16), P_a2-{F}(V17), V16 == V17 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #19: input, references = 9, size of lhs = 19:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13), P_b2-{F}(V14), P_meet-{F}(V4,V2,V15), P_join-{F}(V8,V15,V16), P_a2-{F}(V17), P_meet-{F}(V17,V14,V8) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #20: input, references = 58, size of lhs = 2:
% 66.60/66.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #21: input, references = 35, size of lhs = 2:
% 66.60/66.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #22: input, references = 4, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_n0-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #23: input, references = 4, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_n1-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #24: input, references = 4, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_r2-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #25: input, references = 5, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_a-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #26: input, references = 8, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_b-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #27: input, references = 7, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_r1-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #28: input, references = 7, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_b2-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #29: input, references = 9, size of lhs = 0:
% 66.60/66.78 FALSE | EXISTS V0: P_a2-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 number of initial rules = 30
% 66.60/66.78
% 66.60/66.78 Simplifiers:
% 66.60/66.78 #30: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #31: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #32: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #33: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #34: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #35: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #36: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #37: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #38: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #39: unsound, references = 3, size of lhs = 3:
% 66.60/66.78 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 number of simplifiers = 10
% 66.60/66.78
% 66.60/66.78 Learnt:
% 66.60/66.78 #42: exists( #21, #1 ), references = 1, size of lhs = 1:
% 66.60/66.78 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #43: exists( #21, #3 ), references = 24, size of lhs = 1:
% 66.60/66.78 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #45: exists( #21, #9 ), references = 24, size of lhs = 2:
% 66.60/66.78 P_n0-{F}(V0), #-{F} V1 | P_join-{T}(V1,V0,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #48: exists( #20, #0 ), references = 2, size of lhs = 1:
% 66.60/66.78 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #49: exists( #20, #2 ), references = 31, size of lhs = 1:
% 66.60/66.78 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #51: exists( #20, #8 ), references = 2, size of lhs = 2:
% 66.60/66.78 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #53: exists( #21, #5 ), references = 65, size of lhs = 1:
% 66.60/66.78 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #61: exists( #20, #10 ), references = 10, size of lhs = 3:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_meet-{T}(V2,V1,V2)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #64: exists( #20, #4 ), references = 72, size of lhs = 1:
% 66.60/66.78 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #65: exists( #20, #12 ), references = 9, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V4,V5), P_meet-{F}(V4,V3,V6), P_join-{F}(V2,V6,V7) | P_meet-{T}(V3,V5,V7)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #73: mergings( V1 == V3, V2 == V4; #70 ), references = 1, size of lhs = 9:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V1), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7) | P_r1-{T}(V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #75: exists( #29, #18 ), references = 2, size of lhs = 17:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13), P_b2-{F}(V14), P_meet-{F}(V4,V2,V15), P_join-{F}(V8,V15,V16) | P_a2-{T}(V16)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #78: exists( #28, #17 ), references = 2, size of lhs = 14:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13) | P_b2-{T}(V13)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #88: mergings( V1 == V3, V2 == V4; #85 ), references = 1, size of lhs = 4:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1) | P_b-{T}(V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #111: exists( #21, #107 ), references = 8, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_meet-{F}(V8,V9,V10), V10 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #114: exists( #20, #112 ), references = 20, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9) | P_meet-{T}(V9,V8,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #119: exists( #21, #117 ), references = 22, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9) | P_join-{T}(V9,V8,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #163: mergings( V1 == V2, V2 == V3, V3 == V12, V12 == V20, V20 == V28, V28 == V36, V4 == V13, V13 == V21, V21 == V29, V29 == V37, V5 == V14, V14 == V22, V22 == V30, V30 == V38, V6 == V15, V15 == V23, V23 == V31, V31 == V39, V7 == V16, V8 == V17, V10 == V19, V9 == V18, V16 == V24, V17 == V25, V19 == V27, V18 == V26, V24 == V32, V25 == V33, V27 == V35, V26 == V34, V32 == V40, V33 == V41, V35 == V43, V34 == V42; #128 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_join-{F}(V3,V5,V4), P_meet-{F}(V5,V2,V0), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V2,V6,V8) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #168: mergings( V3 == V4; #166 ), references = 4, size of lhs = 9:
% 66.60/66.78 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7) | P_join-{T}(V3,V4,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #178: mergings( V3 == V5, V4 == V6; #175 ), references = 1, size of lhs = 5:
% 66.60/66.78 P_r2-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_meet-{T}(V2,V3,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #186: exists( #21, #184 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), V4 == V0, P_r1-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #189: exists( #21, #187 ), references = 3, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), V3 == V0, P_r1-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #196: exists( #20, #6 ), references = 28, size of lhs = 3:
% 66.60/66.78 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #199: exists( #21, #197 ), references = 18, size of lhs = 14:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_b2-{F}(V13) | P_join-{T}(V12,V8,V13)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #233: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19; #218 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_meet-{F}(V3,V2,V9), P_b2-{F}(V10), P_meet-{F}(V9,V10,V11), V11 == V9 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #246: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19; #219 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_meet-{F}(V3,V2,V9), P_b2-{F}(V10), P_join-{F}(V11,V9,V9), P_join-{F}(V11,V10,V12), V10 == V12 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #261: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V15 == V24, V4 == V10, V10 == V16, V16 == V25, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19; #220 ), references = 2, size of lhs = 16:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V3,V5), P_r1-{F}(V6), P_meet-{F}(V1,V0,V7), P_meet-{F}(V7,V1,V7), P_b2-{F}(V8), P_n0-{F}(V9), P_n1-{F}(V10), P_meet-{F}(V1,V8,V11), P_meet-{F}(V1,V9,V12), P_join-{F}(V7,V12,V13), V11 == V13 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #288: mergings( V8 == V14, V14 == V20, V3 == V5, V5 == V11, V11 == V17, V17 == V24, V4 == V6, V6 == V12, V12 == V18, V18 == V25, V7 == V13, V10 == V16, V9 == V15, V13 == V19, V16 == V22, V15 == V21; #271 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_b2-{F}(V0), P_n1-{F}(V0), P_r2-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V1,V2), P_b-{F}(V3), P_meet-{F}(V2,V3,V4), P_join-{F}(V1,V4,V5), P_meet-{F}(V1,V4,V6), P_r1-{F}(V7), P_n0-{F}(V8), P_join-{F}(V2,V8,V9) | P_join-{T}(V2,V3,V9)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #314: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19; #301 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V3), P_b2-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8) | P_join-{T}(V3,V4,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #337: exists( #21, #335 ), references = 9, size of lhs = 17:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13), P_b2-{F}(V14), P_meet-{F}(V4,V2,V15), P_a2-{F}(V16) | P_join-{T}(V15,V8,V16)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #365: mergings( V6 == V12, V12 == V18, V18 == V26, V3 == V9, V9 == V15, V15 == V23, V4 == V10, V10 == V16, V16 == V24, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V20 == V28, V19 == V27, V22 == V30; #345 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_meet-{F}(V5,V2,V5), P_a2-{F}(V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V2,V6,V8), P_r1-{F}(V9), P_b2-{F}(V10) | P_join-{T}(V3,V5,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #434: mergings( V6 == V12, V12 == V18, V18 == V26, V3 == V9, V9 == V15, V15 == V23, V4 == V10, V10 == V16, V16 == V24, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V20 == V28, V19 == V27, V22 == V30; #412 ), references = 2, size of lhs = 15:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V2,V6,V8), P_r1-{F}(V9), P_b2-{F}(V10), P_meet-{F}(V5,V2,V11), P_a2-{F}(V12), P_meet-{F}(V11,V12,V13), V13 == V11 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #456: mergings( V6 == V12, V12 == V18, V18 == V26, V3 == V9, V9 == V15, V15 == V23, V23 == V33, V4 == V10, V10 == V16, V16 == V24, V24 == V34, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V20 == V28, V19 == V27, V22 == V30; #414 ), references = 3, size of lhs = 18:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5), P_meet-{F}(V0,V4,V6), P_r1-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V3,V0,V9), P_meet-{F}(V9,V3,V9), P_a2-{F}(V10), P_n0-{F}(V11), P_n1-{F}(V12), P_meet-{F}(V3,V10,V13), P_meet-{F}(V3,V11,V14), P_join-{F}(V9,V14,V15), V13 == V15 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #509: mergings( V8 == V14, V14 == V20, V20 == V28, V3 == V5, V5 == V11, V11 == V17, V17 == V25, V25 == V33, V4 == V6, V6 == V12, V12 == V18, V18 == V26, V26 == V34, V7 == V13, V10 == V16, V9 == V15, V13 == V19, V16 == V22, V15 == V21, V19 == V27, V22 == V30, V21 == V29, V24 == V32; #485 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_a2-{F}(V0), P_n1-{F}(V0), P_r2-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V1,V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_meet-{F}(V2,V4,V5), P_join-{F}(V1,V5,V6), P_meet-{F}(V1,V5,V7), P_r1-{F}(V8), P_b2-{F}(V9), P_n0-{F}(V10), P_join-{F}(V4,V10,V11) | P_join-{T}(V2,V4,V11)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #577: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V15 == V23, V23 == V25, V4 == V10, V10 == V16, V16 == V24, V24 == V26, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V27, V0 == V28, V28 == V29, V1 == V30, V18 == V31, V20 == V33, V19 == V32, V21 == V34, V22 == V35; #550 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_a2-{F}(V0), P_b2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r2-{F}(V3), P_a-{F}(V4), P_meet-{F}(V4,V3,V4), P_b-{F}(V5), P_meet-{F}(V5,V3,V5), P_meet-{F}(V4,V5,V6), P_join-{F}(V3,V6,V7), P_meet-{F}(V3,V6,V8), P_r1-{F}(V9), P_join-{F}(V4,V1,V10), P_meet-{F}(V5,V10,V11), V11 == V5 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #602: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V15 == V23, V23 == V34, V4 == V10, V10 == V16, V16 == V24, V24 == V35, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V0 == V26, V26 == V27, V18 == V28, V20 == V30, V19 == V29, V21 == V31, V22 == V32; #551 ), references = 1, size of lhs = 19:
% 66.60/66.78 P_a2-{F}(V0), P_b2-{F}(V0), P_r2-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V1,V2), P_b-{F}(V3), P_meet-{F}(V2,V3,V4), P_join-{F}(V1,V4,V5), P_meet-{F}(V1,V4,V6), P_r1-{F}(V7), P_meet-{F}(V3,V1,V8), P_meet-{F}(V8,V3,V8), P_n0-{F}(V9), P_n1-{F}(V10), P_meet-{F}(V3,V9,V11), P_join-{F}(V8,V11,V12), P_join-{F}(V2,V9,V13), P_meet-{F}(V3,V13,V14), V14 == V12 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #667: mergings( V6 == V12, V12 == V18, V18 == V26, V26 == V35, V3 == V9, V9 == V15, V15 == V21, V21 == V23, V23 == V30, V30 == V32, V4 == V10, V10 == V16, V16 == V22, V22 == V24, V24 == V31, V31 == V33, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V20 == V28, V19 == V27, V25 == V34, V28 == V37, V27 == V36, V29 == V39; #637 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V3), P_b-{F}(V4), P_meet-{F}(V4,V2,V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_b2-{F}(V9), P_a2-{F}(V10), P_join-{F}(V3,V0,V11), P_meet-{F}(V4,V11,V12), P_join-{F}(V8,V12,V8) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #698: mergings( V23 == V26, V26 == V29, V29 == V32, V32 == V35, V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V17, V17 == V19, V3 == V6, V25 == V28, V24 == V27, V6 == V9, V28 == V31, V27 == V30, V9 == V14, V31 == V34, V30 == V33, V14 == V20, V34 == V37, V33 == V36, V15 == V39; #668 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V3), P_b-{F}(V4), P_meet-{F}(V4,V2,V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_b2-{F}(V9), P_join-{F}(V3,V0,V10), P_meet-{F}(V4,V10,V11), P_join-{F}(V8,V11,V8) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #728: mergings( V22 == V25, V25 == V28, V28 == V31, V31 == V34, V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V3 == V6, V24 == V27, V23 == V26, V6 == V9, V27 == V30, V26 == V29, V9 == V14, V30 == V33, V29 == V32, V14 == V19, V33 == V36, V32 == V35; #699 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V3), P_b-{F}(V4), P_meet-{F}(V4,V2,V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V3,V0,V9), P_meet-{F}(V4,V9,V10), P_join-{F}(V8,V10,V8) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #760: mergings( V23 == V26, V26 == V29, V29 == V32, V32 == V35, V1 == V2, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V19, V4 == V7, V25 == V28, V24 == V27, V7 == V10, V28 == V31, V27 == V30, V10 == V15, V31 == V34, V30 == V33, V15 == V20, V34 == V37, V33 == V36; #730 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V3), P_b-{F}(V4), P_meet-{F}(V4,V2,V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_join-{F}(V3,V0,V8), P_meet-{F}(V4,V8,V0) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #794: mergings( V32 == V34, V31 == V33, V1 == V3, V3 == V6, V6 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V2 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V9, V26 == V34, V25 == V33, V9 == V12, V28 == V34, V27 == V33, V12 == V15, V30 == V34, V29 == V33; #764 ), references = 1, size of lhs = 8:
% 66.60/66.78 P_r2-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V0,V2), P_join-{F}(V2,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V1,V4) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #827: mergings( V29 == V31, V31 == V33, V28 == V30, V30 == V32, V1 == V2, V2 == V4, V4 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V3 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V10, V25 == V33, V24 == V32, V10 == V13, V27 == V33, V26 == V32; #797 ), references = 1, size of lhs = 5:
% 66.60/66.78 P_r2-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V3) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #832: exists( #20, #828 ), references = 1, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), V2 == V1, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #834: exists( #26, #831 ), references = 1, size of lhs = 5:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), V2 == V1, P_a-{F}(V2) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #840: mergings( V1 == V2; #838 ), references = 1, size of lhs = 6:
% 66.60/66.78 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_join-{F}(V2,V0,V3), V3 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #850: exists( #20, #846 ), references = 1, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), V2 == V1, P_b-{F}(V2), P_a-{F}(V3) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #854: exists( #21, #13 ), references = 30, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5) | P_join-{T}(V2,V5,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #858: exists( #20, #14 ), references = 22, size of lhs = 7:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6) | P_meet-{T}(V2,V5,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #866: exists( #21, #12 ), references = 1, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_meet-{F}(V4,V3,V7) | P_join-{T}(V2,V7,V6)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #875: exists( #20, #871 ), references = 1, size of lhs = 8:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V5,V2,V3), P_join-{F}(V5,V1,V6), V3 == V6 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #878: mergings( V3 == V6, V4 == V7; #874 ), references = 1, size of lhs = 8:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V0,V1,V0), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V1,V4,V5), V5 == V4 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #917: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V12; #911 ), references = 3, size of lhs = 13:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r1-{F}(V3), P_meet-{F}(V1,V0,V4), P_meet-{F}(V4,V1,V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_meet-{F}(V1,V5,V8), P_meet-{F}(V1,V6,V9), P_join-{F}(V4,V9,V10), V8 == V10 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #924: mergings( V3 == V7; #922 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_b-{F}(V2), P_r1-{F}(V3), P_b2-{F}(V4), P_n0-{F}(V5), P_meet-{F}(V1,V5,V5), P_n1-{F}(V6), P_meet-{F}(V1,V4,V7) | P_meet-{T}(V0,V1,V7)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #933: mergings( V5 == V7; #931 ), references = 1, size of lhs = 7:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), V1 == V2, P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V5,V3,V2) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #943: exists( #20, #940 ), references = 1, size of lhs = 8:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V5,V2,V4), P_join-{F}(V5,V1,V6), V4 == V6 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #946: mergings( V3 == V6, V4 == V7; #942 ), references = 2, size of lhs = 9:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V0,V5,V0), P_meet-{F}(V2,V5,V2), P_meet-{F}(V5,V4,V6), V6 == V4 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #965: mergings( V3 == V4, V4 == V7, V5 == V8; #960 ), references = 1, size of lhs = 7:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V0,V1,V2), P_n0-{F}(V2), P_b-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V1,V4,V5) | P_meet-{T}(V1,V3,V5)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #985: mergings( V3 == V5; #983 ), references = 1, size of lhs = 5:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4) | P_join-{T}(V0,V2,V4)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1008: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V14; #1003 ), references = 3, size of lhs = 15:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_r1-{F}(V4), P_b2-{F}(V5), P_meet-{F}(V3,V0,V6), P_meet-{F}(V6,V3,V6), P_a2-{F}(V7), P_n0-{F}(V8), P_n1-{F}(V9), P_meet-{F}(V3,V7,V10), P_meet-{F}(V3,V8,V11), P_join-{F}(V6,V11,V12), V10 == V12 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1017: mergings( V3 == V9; #1015 ), references = 5, size of lhs = 12:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_r1-{F}(V4), P_b2-{F}(V5), P_a2-{F}(V6), P_n0-{F}(V7), P_meet-{F}(V3,V7,V7), P_n1-{F}(V8), P_meet-{F}(V3,V6,V9) | P_meet-{T}(V0,V3,V9)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1022: mergings( V3 == V8; #1020 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_r1-{F}(V3), P_b2-{F}(V4), P_a2-{F}(V5), P_n0-{F}(V6), P_meet-{F}(V2,V6,V6), P_n1-{F}(V7), P_meet-{F}(V2,V5,V8), P_join-{F}(V0,V8,V9), V9 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1042: mergings( V3 == V4, V4 == V7, V5 == V8; #1038 ), references = 7, size of lhs = 8:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V0,V5,V3), P_meet-{F}(V2,V5,V2), P_meet-{F}(V5,V4,V6) | P_meet-{T}(V1,V2,V6)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1055: mergings( V3 == V5, V4 == V6; #1052 ), references = 1, size of lhs = 8:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V2,V3,V5), P_meet-{F}(V5,V4,V6), V6 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1072: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V9 == V12; #1063 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_meet-{F}(V3,V2,V7), P_join-{F}(V0,V7,V8), P_b2-{F}(V9), V8 == V9 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1084: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #1076 ), references = 2, size of lhs = 9:
% 66.60/66.78 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_b2-{F}(V7) | P_meet-{T}(V2,V3,V7)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1102: exists( #20, #1100 ), references = 2, size of lhs = 13:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_r1-{F}(V4), P_b2-{F}(V5), P_meet-{F}(V3,V0,V6), P_meet-{F}(V6,V3,V6), P_a2-{F}(V7), P_n0-{F}(V8), P_n1-{F}(V9), P_meet-{F}(V3,V8,V10), P_join-{F}(V6,V10,V11) | P_meet-{T}(V7,V3,V11)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1122: mergings( V3 == V9, V9 == V11, V10 == V12, V4 == V8; #1116 ), references = 2, size of lhs = 12:
% 66.60/66.78 P_r1-{F}(V0), P_b2-{F}(V1), P_a2-{F}(V2), P_a-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r2-{F}(V5), V5 == V4, P_meet-{F}(V2,V5,V6), P_b-{F}(V7), P_meet-{F}(V7,V3,V3), P_meet-{F}(V7,V7,V7) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1140: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V9 == V12; #1132 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_meet-{F}(V3,V2,V7), P_join-{F}(V0,V7,V8), P_b2-{F}(V9), P_meet-{F}(V4,V2,V10), P_join-{F}(V0,V10,V11), P_a2-{F}(V12), V11 == V12 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1152: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #1144 ), references = 2, size of lhs = 12:
% 66.60/66.78 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_meet-{F}(V3,V2,V7), P_join-{F}(V0,V7,V8), P_b2-{F}(V9), P_a2-{F}(V10) | P_meet-{T}(V2,V4,V10)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1168: exists( #20, #1166 ), references = 1, size of lhs = 8:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V1,V3,V5), P_join-{F}(V2,V3,V6), V5 == V6 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1170: exists( #21, #1167 ), references = 1, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V2,V3,V5)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1200: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V9 == V12; #1192 ), references = 1, size of lhs = 17:
% 66.60/66.78 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_meet-{F}(V3,V2,V7), P_join-{F}(V0,V7,V8), P_b2-{F}(V9), P_meet-{F}(V2,V3,V9), P_meet-{F}(V4,V2,V10), P_join-{F}(V0,V10,V11), P_a2-{F}(V12), P_meet-{F}(V13,V4,V12), P_meet-{F}(V13,V0,V0) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1221: mergings( V1 == V2, V2 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V9, V9 == V11, V11 == V13, V6 == V22, V5 == V21, V13 == V15, V4 == V19, V17 == V23, V18 == V24, V7 == V25; #1205 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_meet-{F}(V2,V0,V0), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6), P_meet-{F}(V3,V2,V7), P_join-{F}(V0,V7,V8), P_b2-{F}(V9), P_meet-{F}(V2,V3,V9) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1242: mergings( V1 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V2 == V7, V5 == V9, V4 == V8, V7 == V11, V11 == V13, V13 == V15, V9 == V22, V8 == V21, V15 == V17, V3 == V20; #1226 ), references = 1, size of lhs = 9:
% 66.60/66.78 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_meet-{F}(V2,V0,V0), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V0,V1,V6) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1253: exists( #20, #917 ), references = 2, size of lhs = 11:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r1-{F}(V3), P_meet-{F}(V1,V0,V4), P_meet-{F}(V4,V1,V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_meet-{F}(V1,V6,V8), P_join-{F}(V4,V8,V9) | P_meet-{T}(V1,V5,V9)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1282: mergings( V3 == V7, V7 == V9, V8 == V10, V4 == V6; #1275 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_r1-{F}(V0), P_b2-{F}(V1), P_b-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r2-{F}(V4), V4 == V3, P_a-{F}(V5), P_meet-{F}(V5,V2,V2), P_meet-{F}(V5,V5,V5) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1288: mergings( V3 == V7, V7 == V9, V8 == V10, V4 == V6, V5 == V1; #1277 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_b2-{F}(V0), P_b-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r2-{F}(V3), P_a-{F}(V4), V4 == V1, P_r1-{F}(V4), P_meet-{F}(V4,V1,V1), P_meet-{F}(V4,V4,V4) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1294: exists( #20, #1292 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_r1-{F}(V0), P_b2-{F}(V1), P_a2-{F}(V2), P_a-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r2-{F}(V5), V5 == V4, P_b-{F}(V6), P_meet-{F}(V6,V3,V3), P_meet-{F}(V6,V6,V6) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1305: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1300 ), references = 1, size of lhs = 7:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), V3 == V0, P_r1-{F}(V3), P_b-{F}(V4) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1338: mergings( V6 == V8, V8 == V11, V7 == V9, V9 == V12, V1 == V13, V3 == V15; #1329 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_b2-{F}(V0), P_a2-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V1,V3), P_meet-{F}(V2,V3,V3), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V2,V4,V2), P_r2-{F}(V5), P_a-{F}(V6), P_join-{F}(V5,V2,V7), P_r1-{F}(V8), P_meet-{F}(V8,V6,V9), V9 == V3 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1345: mergings( V6 == V8, V8 == V11, V7 == V9, V9 == V12, V1 == V13, V3 == V15; #1330 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_b2-{F}(V0), P_a2-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V1,V3), P_meet-{F}(V2,V3,V3), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V2,V4,V2), P_r2-{F}(V5), P_a-{F}(V6), P_join-{F}(V5,V2,V7), P_r1-{F}(V8), P_join-{F}(V8,V6,V9), P_meet-{F}(V8,V6,V10), V10 == V3 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1354: mergings( V3 == V8, V8 == V10, V10 == V13, V4 == V9, V9 == V11, V11 == V14, V14 == V5, V6 == V18; #1331 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_r1-{F}(V0), P_n1-{F}(V0), P_a2-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V0,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V1,V3), P_meet-{F}(V2,V3,V3), P_n0-{F}(V3), P_r2-{F}(V4), P_a-{F}(V5), P_join-{F}(V4,V2,V6), P_join-{F}(V0,V5,V7), P_meet-{F}(V0,V5,V8), P_b2-{F}(V9), V0 == V9 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1369: mergings( V3 == V5, V4 == V6; #1366 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_meet-{F}(V3,V8,V3), P_meet-{F}(V4,V8,V4) | P_join-{T}(V3,V4,V0)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1390: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1381 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_meet-{F}(V3,V5,V3), P_meet-{F}(V4,V5,V4), P_meet-{F}(V3,V0,V6), V6 == V3 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1397: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1382 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_meet-{F}(V3,V5,V3), P_meet-{F}(V4,V5,V4), P_join-{F}(V6,V3,V3), P_join-{F}(V6,V0,V7), V0 == V7 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1406: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1383 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_b-{F}(V2), P_r1-{F}(V3), P_meet-{F}(V1,V3,V1), P_meet-{F}(V2,V3,V2), P_n0-{F}(V4), P_n1-{F}(V5), P_meet-{F}(V1,V4,V6), V6 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1434: exists( #21, #1432 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_meet-{F}(V3,V8,V9), P_meet-{F}(V3,V0,V10), V9 == V10 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1442: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1437 ), references = 1, size of lhs = 9:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_meet-{F}(V3,V5,V6), P_meet-{F}(V3,V0,V7), V6 == V7 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1449: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1444 ), references = 1, size of lhs = 7:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_meet-{F}(V3,V0,V6) | P_meet-{T}(V5,V3,V6)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1474: mergings( V3 == V7, V4 == V8, V5 == V10, V9 == V25, V11 == V15, V13 == V17, V12 == V16, V14 == V22, V20 == V24, V19 == V23, V21 == V26, V6 == V18; #1461 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_b2-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13), P_a2-{F}(V14) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1488: mergings( V1 == V5, V2 == V6, V3 == V9, V8 == V25, V11 == V15, V13 == V17, V12 == V16, V14 == V22, V20 == V24, V19 == V23, V21 == V26, V4 == V18; #1475 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_b2-{F}(V8), P_join-{F}(V3,V4,V9), P_join-{F}(V8,V9,V10), P_meet-{F}(V8,V9,V11), P_meet-{F}(V3,V2,V12), P_join-{F}(V8,V12,V13) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1521: exists( #21, #1517 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_join-{F}(V4,V8,V4) | P_join-{T}(V3,V4,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1537: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11, V9 == V13; #1528 ), references = 1, size of lhs = 9:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_join-{F}(V4,V5,V4), P_meet-{F}(V5,V1,V6), V6 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1545: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11, V9 == V13; #1529 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_join-{F}(V4,V5,V4), P_join-{F}(V5,V1,V6), P_meet-{F}(V5,V1,V7), V7 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1557: exists( #21, #1555 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_meet-{F}(V4,V8,V9), P_meet-{F}(V4,V0,V10), V9 == V10 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1565: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1560 ), references = 1, size of lhs = 9:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r1-{F}(V5), P_meet-{F}(V4,V5,V6), P_meet-{F}(V4,V0,V7), V6 == V7 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1583: mergings( V3 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V10 == V12, V12 == V14, V14 == V16, V0 == V17, V4 == V18, V6 == V8; #1571 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_b2-{F}(V0), P_a2-{F}(V1), P_r1-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r2-{F}(V4), P_a-{F}(V5), P_meet-{F}(V5,V4,V6), P_b-{F}(V7), P_meet-{F}(V7,V7,V7), P_meet-{F}(V7,V2,V2) | P_meet-{T}(V4,V7,V2)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1618: mergings( V30 == V31, V26 == V27, V27 == V28, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V20, V20 == V22, V22 == V24, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V23, V23 == V25, V15 == V0, V16 == V1, V4 == V6, V6 == V29, V5 == V32; #1594 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_n0-{F}(V1), P_meet-{F}(V0,V1,V1), P_n1-{F}(V2), P_meet-{F}(V0,V2,V0), P_r2-{F}(V3), P_a-{F}(V4), P_join-{F}(V3,V0,V5), P_r1-{F}(V6), P_a2-{F}(V6), P_meet-{F}(V6,V4,V7), P_b2-{F}(V8), P_join-{F}(V6,V1,V9) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1667: mergings( V6 == V12, V12 == V18, V3 == V9, V9 == V15, V15 == V24, V4 == V10, V10 == V16, V16 == V25, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19; #1652 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V3,V5), P_r1-{F}(V6), P_meet-{F}(V1,V0,V7), P_b2-{F}(V8), P_n0-{F}(V9), P_n1-{F}(V10), P_join-{F}(V7,V9,V11), P_meet-{F}(V12,V1,V7), P_meet-{F}(V2,V8,V13), P_meet-{F}(V2,V11,V14), V13 == V14 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1683: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18; #1672 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r1-{F}(V3), P_meet-{F}(V1,V0,V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_join-{F}(V4,V6,V8), P_meet-{F}(V0,V1,V8), P_meet-{F}(V9,V1,V4), P_meet-{F}(V2,V5,V10), V10 == V6 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1696: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18; #1685 ), references = 4, size of lhs = 11:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r1-{F}(V3), P_meet-{F}(V1,V0,V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_join-{F}(V4,V6,V8), P_meet-{F}(V0,V1,V8), P_meet-{F}(V9,V1,V4) | P_meet-{T}(V5,V2,V6)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1732: mergings( V29 == V30, V25 == V26, V26 == V27, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V23, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V24, V12 == V28, V0 == V22, V22 == V31; #1708 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_r2-{F}(V0), P_b2-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_meet-{F}(V1,V3,V1), P_a-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V0,V1,V5), P_r1-{F}(V6), P_meet-{F}(V6,V4,V7), P_join-{F}(V6,V2,V8), P_a2-{F}(V9), V8 == V9 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1757: mergings( V29 == V30, V25 == V26, V26 == V27, V1 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V22, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V23, V10 == V28, V11 == V21, V21 == V31; #1733 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_r2-{F}(V0), P_b2-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_meet-{F}(V1,V3,V1), P_a-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V0,V1,V5), P_r1-{F}(V6), P_meet-{F}(V6,V4,V7), P_join-{F}(V6,V2,V8) | P_a2-{T}(V8)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1792: mergings( V22 == V23, V18 == V19, V19 == V20, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V3 == V21, V4 == V15, V15 == V24, V5 == V26; #1776 ), references = 2, size of lhs = 16:
% 66.60/66.78 P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_n0-{F}(V1), P_meet-{F}(V0,V1,V1), P_n1-{F}(V2), P_meet-{F}(V0,V2,V0), P_r2-{F}(V3), P_a-{F}(V4), P_join-{F}(V3,V0,V5), P_r1-{F}(V6), P_meet-{F}(V6,V4,V7), P_b2-{F}(V8), P_join-{F}(V6,V1,V9), P_a2-{F}(V10), V9 == V10, P_meet-{F}(V0,V10,V1) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1832: mergings( V6 == V12, V12 == V18, V22 == V24, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19; #1818 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V5,V7), P_r1-{F}(V8), P_meet-{F}(V3,V2,V9), P_b2-{F}(V9), P_meet-{F}(V10,V3,V9) | P_join-{T}(V3,V4,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1853: mergings( V14 == V19, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V13 == V20; #1839 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_b2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r2-{F}(V3), P_a-{F}(V4), P_meet-{F}(V4,V3,V0), P_meet-{F}(V5,V4,V0), P_b-{F}(V6), P_r1-{F}(V7), P_meet-{F}(V7,V2,V8), V8 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1866: mergings( V14 == V19, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V13 == V20; #1840 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_b2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r2-{F}(V3), P_a-{F}(V4), P_meet-{F}(V4,V3,V0), P_meet-{F}(V5,V4,V0), P_b-{F}(V6), P_r1-{F}(V7), P_join-{F}(V7,V2,V8), P_meet-{F}(V7,V2,V9), V9 == V1 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1914: mergings( V6 == V12, V12 == V18, V18 == V26, V3 == V9, V9 == V15, V15 == V23, V23 == V33, V4 == V10, V10 == V16, V16 == V24, V24 == V34, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V20 == V28, V19 == V27, V22 == V30; #1892 ), references = 1, size of lhs = 18:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5), P_meet-{F}(V0,V4,V6), P_r1-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V3,V0,V9), P_a2-{F}(V10), P_n0-{F}(V11), P_n1-{F}(V12), P_join-{F}(V9,V11,V13), P_meet-{F}(V1,V10,V14), P_meet-{F}(V1,V13,V15), V14 == V15, P_meet-{F}(V16,V3,V9) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1931: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V23, V13 == V19; #1917 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_r1-{F}(V4), P_b2-{F}(V5), P_meet-{F}(V3,V0,V6), P_a2-{F}(V7), P_n0-{F}(V8), P_n1-{F}(V9), P_join-{F}(V6,V8,V10), P_meet-{F}(V1,V7,V11), P_meet-{F}(V1,V10,V12), V11 == V12, P_meet-{F}(V13,V3,V6) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1951: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V22, V13 == V19; #1937 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_r2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V2), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_r1-{F}(V4), P_b2-{F}(V5), P_a2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_meet-{F}(V1,V6,V9), P_meet-{F}(V0,V1,V10), P_meet-{F}(V3,V10,V11), V9 == V11 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #1982: mergings( V5 == V7, V7 == V29, V29 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V27, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V28, V3 == V24, V4 == V8, V8 == V25, V9 == V21, V21 == V26; #1959 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_r2-{F}(V0), P_a2-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_r1-{F}(V3), P_b2-{F}(V4), P_n0-{F}(V5), P_meet-{F}(V1,V5,V5), P_n1-{F}(V6) | P_meet-{T}(V0,V1,V5)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2013: mergings( V5 == V8, V0 == V9, V1 == V10, V3 == V12, V4 == V14; #2007 ), references = 1, size of lhs = 16:
% 66.60/66.78 P_a2-{F}(V0), P_b2-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_n0-{F}(V2), P_meet-{F}(V1,V2,V2), P_n1-{F}(V3), P_meet-{F}(V1,V3,V1), P_r2-{F}(V4), P_a-{F}(V5), P_meet-{F}(V5,V5,V5), P_join-{F}(V4,V1,V6), P_r1-{F}(V7), P_meet-{F}(V7,V5,V8), P_join-{F}(V7,V2,V9), V9 == V0 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2075: mergings( V6 == V12, V12 == V18, V18 == V26, V31 == V33, V3 == V9, V9 == V15, V15 == V23, V4 == V10, V10 == V16, V16 == V24, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V25, V20 == V28, V19 == V27, V22 == V30; #2054 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V2,V6,V8), P_r1-{F}(V9), P_b2-{F}(V10), P_meet-{F}(V5,V2,V11), P_a2-{F}(V11), P_meet-{F}(V12,V5,V11) | P_join-{T}(V3,V5,V1)
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2099: mergings( V18 == V24, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V20, V16 == V25, V13 == V17; #2082 ), references = 1, size of lhs = 13:
% 66.60/66.78 P_b2-{F}(V0), P_a2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r2-{F}(V4), P_a-{F}(V5), P_meet-{F}(V5,V4,V6), P_b-{F}(V7), P_meet-{F}(V7,V4,V1), P_meet-{F}(V8,V7,V1), P_r1-{F}(V9), P_meet-{F}(V9,V3,V10), V10 == V2 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2115: mergings( V18 == V24, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V20, V16 == V25, V13 == V17; #2083 ), references = 1, size of lhs = 14:
% 66.60/66.78 P_b2-{F}(V0), P_a2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r2-{F}(V4), P_a-{F}(V5), P_meet-{F}(V5,V4,V6), P_b-{F}(V7), P_meet-{F}(V7,V4,V1), P_meet-{F}(V8,V7,V1), P_r1-{F}(V9), P_join-{F}(V9,V3,V10), P_meet-{F}(V9,V3,V11), V11 == V2 | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2168: mergings( V6 == V12, V12 == V18, V18 == V25, V25 == V35, V3 == V9, V9 == V15, V15 == V22, V22 == V30, V30 == V32, V4 == V10, V10 == V16, V16 == V23, V23 == V31, V31 == V33, V5 == V11, V8 == V14, V7 == V13, V11 == V17, V14 == V20, V13 == V19, V17 == V24, V20 == V27, V19 == V26, V24 == V34, V27 == V37, V26 == V36, V28 == V39; #2140 ), references = 1, size of lhs = 15:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_meet-{F}(V5,V2,V6), P_meet-{F}(V3,V5,V7), P_join-{F}(V2,V7,V8), P_meet-{F}(V2,V7,V9), P_r1-{F}(V10), P_b2-{F}(V11), P_a2-{F}(V12), P_meet-{F}(V6,V11,V13), P_join-{F}(V10,V13,V10) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2187: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V15 == V24; #2171 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_meet-{F}(V5,V2,V6), P_r1-{F}(V7), P_b2-{F}(V8), P_a2-{F}(V9), P_meet-{F}(V6,V8,V10), P_join-{F}(V7,V10,V7) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2206: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V15 == V23; #2190 ), references = 1, size of lhs = 12:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V2,V4), P_b-{F}(V5), P_r1-{F}(V6), P_b2-{F}(V7), P_a2-{F}(V8), P_meet-{F}(V5,V7,V9), P_meet-{F}(V2,V9,V10), P_join-{F}(V6,V10,V6) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2231: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V3 == V24, V18 == V25; #2212 ), references = 1, size of lhs = 11:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_r1-{F}(V5), P_b2-{F}(V6), P_a2-{F}(V7), P_meet-{F}(V2,V0,V8), P_join-{F}(V5,V8,V5) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2251: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V1 == V24, V16 == V25; #2232 ), references = 1, size of lhs = 10:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_r1-{F}(V5), P_b2-{F}(V6), P_meet-{F}(V2,V0,V7), P_join-{F}(V5,V7,V5) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2270: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V1 == V23; #2252 ), references = 1, size of lhs = 9:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_r1-{F}(V5), P_meet-{F}(V2,V0,V6), P_join-{F}(V5,V6,V5) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2290: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #2272 ), references = 1, size of lhs = 7:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_meet-{F}(V2,V0,V0), P_a-{F}(V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2309: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #2291 ), references = 1, size of lhs = 6:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_meet-{F}(V2,V0,V0), P_a-{F}(V3), P_meet-{F}(V3,V3,V3) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2329: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #2311 ), references = 1, size of lhs = 4:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V2), P_meet-{F}(V2,V0,V0) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2348: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #2331 ), references = 1, size of lhs = 2:
% 66.60/66.78 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2358: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #2349 ), references = 1, size of lhs = 1:
% 66.60/66.78 P_n0-{F}(V0) | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 #2360: exists( #22, #2349 ), references = 1, size of lhs = 0:
% 66.60/66.78 FALSE | FALSE
% 66.60/66.78 (used 0 times, uses = {})
% 66.60/66.78
% 66.60/66.78 number of learnt formulas = 127
% 66.60/66.78
% 66.60/66.78
% 66.60/66.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.60/66.78
% 66.60/66.78 randbase = 1
%------------------------------------------------------------------------------