TSTP Solution File: LAT003-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:07:45 EDT 2022
% Result : Unsatisfiable 113.16s 113.34s
% Output : Refutation 113.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 20:00:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 113.16/113.34 GeoParameters:
% 113.16/113.34
% 113.16/113.34 tptp_input = 1
% 113.16/113.34 tptp_output = 0
% 113.16/113.34 nonempty = 1
% 113.16/113.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.16/113.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 113.16/113.34
% 113.16/113.34
% 113.16/113.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.16/113.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.16/113.34
% 113.16/113.34 RuleSystem INPUT:
% 113.16/113.34
% 113.16/113.34 Initial Rules:
% 113.16/113.34 #0: input, references = 4, size of lhs = 2:
% 113.16/113.34 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #1: input, references = 4, size of lhs = 2:
% 113.16/113.34 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #2: input, references = 4, size of lhs = 3:
% 113.16/113.34 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #3: input, references = 6, size of lhs = 3:
% 113.16/113.34 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #4: input, references = 6, size of lhs = 3:
% 113.16/113.34 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #5: input, references = 4, size of lhs = 3:
% 113.16/113.34 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #6: input, references = 10, size of lhs = 5:
% 113.16/113.34 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
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #7: input, references = 5, size of lhs = 5:
% 113.16/113.34 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
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #8: input, references = 4, size of lhs = 3:
% 113.16/113.34 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #9: input, references = 4, size of lhs = 3:
% 113.16/113.34 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #10: input, references = 3, size of lhs = 4:
% 113.16/113.34 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #11: input, references = 4, size of lhs = 4:
% 113.16/113.34 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #12: input, references = 11, size of lhs = 8:
% 113.16/113.34 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
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #13: input, references = 11, size of lhs = 5:
% 113.16/113.34 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V0 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #14: input, references = 11, size of lhs = 5:
% 113.16/113.34 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V1 | FALSE
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #15: input, references = 20, size of lhs = 4:
% 113.16/113.34 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V1) | complement-{T}(V2,V3)
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #16: input, references = 10, size of lhs = 3:
% 113.16/113.34 P_n0-{F}(V0), P_n1-{F}(V1), unique_complement-{F}(V2,V3) | complement-{T}(V2,V3)
% 113.16/113.34 (used 0 times, uses = {})
% 113.16/113.34
% 113.16/113.34 #17: input, references = 7, size of lhs = 5:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), unique_complement-{F}(V4,V2), complement-{F}(V4,V3), V3 == V2 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #18: input, references = 3, size of lhs = 4:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_f-{F}(V2,V3,V4), complement-{F}(V2,V3) | unique_complement-{T}(V2,V3), complement-{T}(V2,V4)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #19: input, references = 3, size of lhs = 4:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_f-{F}(V2,V3,V3), complement-{F}(V2,V3) | unique_complement-{T}(V2,V3)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #20: input, references = 25, size of lhs = 6:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5) | complement-{T}(V2,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #21: input, references = 17, size of lhs = 8:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V3,V4,V7) | complement-{T}(V6,V7)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #22: input, references = 14, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V3,V4,V7), P_a2-{F}(V8) | unique_complement-{T}(V3,V8)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #23: input, references = 14, size of lhs = 10:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V3,V4,V7), P_a2-{F}(V8), P_b2-{F}(V9) | unique_complement-{T}(V4,V9)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #24: input, references = 6, size of lhs = 12:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V3,V4,V7), P_a2-{F}(V8), P_b2-{F}(V9), P_meet-{F}(V8,V9,V10), complement-{F}(V5,V10) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #25: input, references = 29, size of lhs = 2:
% 113.16/113.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #26: input, references = 42, size of lhs = 2:
% 113.16/113.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #27: input, references = 4, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_n0-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #28: input, references = 4, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_n1-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #29: input, references = 3, size of lhs = 2:
% 113.16/113.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #30: input, references = 4, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_r1-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #31: input, references = 5, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_a-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #32: input, references = 8, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_b-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #33: input, references = 7, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_r2-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #34: input, references = 7, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_a2-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #35: input, references = 9, size of lhs = 0:
% 113.16/113.35 FALSE | EXISTS V0: P_b2-{T}(V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 number of initial rules = 36
% 113.16/113.35
% 113.16/113.35 Simplifiers:
% 113.16/113.35 #36: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #37: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #38: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #39: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #40: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #41: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #42: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #43: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #44: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #45: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #46: unsound, references = 3, size of lhs = 3:
% 113.16/113.35 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 number of simplifiers = 11
% 113.16/113.35
% 113.16/113.35 Learnt:
% 113.16/113.35 #49: exists( #26, #1 ), references = 5, size of lhs = 1:
% 113.16/113.35 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #50: exists( #26, #3 ), references = 25, size of lhs = 1:
% 113.16/113.35 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #53: exists( #26, #9 ), references = 18, size of lhs = 2:
% 113.16/113.35 P_n0-{F}(V0), #-{F} V1 | P_join-{T}(V1,V0,V1)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #56: exists( #25, #0 ), references = 6, size of lhs = 1:
% 113.16/113.35 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #57: exists( #25, #2 ), references = 86, size of lhs = 1:
% 113.16/113.35 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #59: exists( #26, #5 ), references = 118, size of lhs = 1:
% 113.16/113.35 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #61: exists( #26, #11 ), references = 21, size of lhs = 3:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_join-{T}(V2,V1,V1)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #71: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #66 ), references = 1, size of lhs = 6:
% 113.16/113.35 P_a-{F}(V0), P_n1-{F}(V0), P_r1-{F}(V1), P_n0-{F}(V2), P_meet-{F}(V1,V0,V3), V3 == V2 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #79: mergings( V1 == V2, V2 == V8, V3 == V9; #75 ), references = 2, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V1,V2,V3), P_n0-{F}(V3), P_join-{F}(V1,V2,V4), P_n1-{F}(V5) | P_r2-{T}(V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #84: mergings( V1 == V9, V2 == V10; #81 ), references = 4, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_meet-{F}(V1,V2,V5), P_n0-{F}(V6), P_n1-{F}(V7), complement-{F}(V1,V8) | P_a2-{T}(V8)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #88: exists( #25, #4 ), references = 98, size of lhs = 1:
% 113.16/113.35 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #89: exists( #25, #8 ), references = 1, size of lhs = 2:
% 113.16/113.35 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #90: exists( #25, #12 ), references = 20, size of lhs = 6:
% 113.16/113.35 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)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #102: mergings( V3 == V4, V4 == V6, V5 == V7; #98 ), references = 1, size of lhs = 5:
% 113.16/113.35 P_r1-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n1-{F}(V3) | P_join-{T}(V1,V2,V3)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #110: mergings( V3 == V4, V4 == V8, V5 == V9; #106 ), references = 3, size of lhs = 7:
% 113.16/113.35 P_r2-{F}(V0), P_n0-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V4), P_n1-{F}(V5) | P_meet-{T}(V2,V3,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #115: exists( #25, #24 ), references = 8, size of lhs = 11:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V7,V8,V9), complement-{F}(V5,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #121: mergings( V1 == V2; #119 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_a2-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), complement-{F}(V5,V0), P_r2-{F}(V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #133: mergings( V3 == V7, V4 == V8; #130 ), references = 2, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_r2-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_n0-{F}(V4), P_n1-{F}(V5), V1 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #147: mergings( V3 == V7, V4 == V8; #144 ), references = 2, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V2), P_join-{F}(V1,V2,V3), P_n0-{F}(V4), P_n1-{F}(V5), V2 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #160: mergings( V3 == V10, V10 == V12, V4 == V11, V11 == V13; #154 ), references = 3, size of lhs = 11:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_meet-{F}(V2,V6,V9), V9 == V7 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #165: mergings( V3 == V10, V10 == V12, V4 == V11, V11 == V13; #155 ), references = 3, size of lhs = 11:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_join-{F}(V2,V6,V9), V9 == V8 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #169: exists( #25, #167 ), references = 4, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8) | P_meet-{T}(V6,V2,V7)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #175: exists( #25, #13 ), references = 25, size of lhs = 3:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_meet-{T}(V2,V3,V0)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #177: exists( #26, #14 ), references = 22, size of lhs = 3:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #203: mergings( V6 == V11, V3 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20, V5 == V10, V7 == V12; #189 ), references = 2, size of lhs = 9:
% 113.16/113.35 P_a2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V4), P_n0-{F}(V5), P_n1-{F}(V6), P_meet-{F}(V2,V6,V7) | P_meet-{T}(V2,V3,V7)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #218: mergings( V7 == V9, V8 == V10, V1 == V11, V2 == V12, V3 == V13, V4 == V14, V5 == V15, V13 == V6; #209 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_a2-{F}(V0), P_b-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V0,V5), complement-{F}(V5,V1), P_r2-{F}(V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #236: mergings( V3 == V4, V4 == V9, V9 == V11, V5 == V10, V10 == V12; #230 ), references = 3, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_meet-{F}(V4,V2,V5), P_n0-{F}(V5), P_n1-{F}(V6), P_meet-{F}(V2,V6,V7) | P_meet-{T}(V1,V2,V7)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #250: mergings( V3 == V9, V9 == V11, V4 == V10, V10 == V12; #244 ), references = 3, size of lhs = 10:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_a2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_meet-{F}(V1,V5,V8), V8 == V6 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #255: mergings( V3 == V9, V9 == V11, V4 == V10, V10 == V12; #245 ), references = 3, size of lhs = 10:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_a2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_join-{F}(V1,V5,V8), V8 == V7 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #263: exists( #26, #7 ), references = 52, size of lhs = 3:
% 113.16/113.35 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #269: exists( #25, #6 ), references = 40, size of lhs = 3:
% 113.16/113.35 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #278: exists( #26, #12 ), references = 20, size of lhs = 6:
% 113.16/113.35 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)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #289: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #284 ), references = 17, size of lhs = 10:
% 113.16/113.35 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_join-{F}(V7,V6,V1), P_join-{F}(V7,V2,V8), unique_complement-{F}(V8,V9), P_meet-{F}(V8,V3,V10), P_meet-{F}(V10,V4,V0) | P_meet-{T}(V3,V4,V9)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #346: mergings( V6 == V14, V14 == V20, V3 == V9, V9 == V11, V11 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V4 == V8, V8 == V10, V10 == V12, V12 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V5 == V13, V13 == V19, V7 == V15, V15 == V21, V16 == V22; #320 ), references = 1, size of lhs = 12:
% 113.16/113.35 P_b2-{F}(V0), P_a2-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V4), P_r2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), V7 == V2, P_meet-{F}(V2,V7,V8), P_join-{F}(V3,V8,V7) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #371: mergings( V6 == V14, V14 == V20, V3 == V9, V9 == V11, V11 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V4 == V8, V8 == V10, V10 == V12, V12 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V5 == V13, V13 == V19, V7 == V15, V15 == V21, V16 == V22; #321 ), references = 1, size of lhs = 13:
% 113.16/113.35 P_b2-{F}(V0), P_a2-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V2,V2), P_b-{F}(V3), P_join-{F}(V2,V3,V4), P_r2-{F}(V5), P_n0-{F}(V6), V0 == V6, P_n1-{F}(V7), P_meet-{F}(V2,V7,V8), P_join-{F}(V3,V8,V7) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #425: mergings( V6 == V11, V11 == V21, V3 == V8, V8 == V14, V14 == V16, V16 == V18, V4 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V5 == V10, V10 == V20, V7 == V12, V12 == V22; #409 ), references = 1, size of lhs = 15:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), P_b2-{F}(V8), complement-{F}(V5,V9), P_meet-{F}(V10,V4,V4), P_meet-{F}(V8,V10,V11), P_meet-{F}(V11,V7,V9), P_meet-{F}(V4,V1,V12), P_join-{F}(V3,V12,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #443: mergings( V6 == V11, V3 == V8, V8 == V14, V14 == V16, V16 == V18, V4 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V5 == V10, V10 == V20, V0 == V21, V1 == V22, V11 == V23, V7 == V12, V12 == V24; #408 ), references = 1, size of lhs = 15:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), P_b2-{F}(V8), complement-{F}(V5,V9), P_meet-{F}(V10,V4,V4), P_meet-{F}(V8,V10,V11), P_meet-{F}(V11,V7,V9), P_meet-{F}(V4,V1,V12), P_join-{F}(V3,V12,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #471: mergings( V27 == V28, V28 == V29, V7 == V9, V9 == V13, V13 == V18, V18 == V20, V20 == V22, V8 == V10, V10 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V11, V11 == V15, V15 == V24, V2 == V25, V3 == V26, V4 == V29, V5 == V12, V12 == V16, V16 == V30, V6 == V31; #446 ), references = 1, size of lhs = 13:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), complement-{F}(V5,V8), P_meet-{F}(V0,V7,V8), P_meet-{F}(V4,V1,V9), P_join-{F}(V3,V9,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #497: mergings( V18 == V19, V7 == V9, V9 == V13, V13 == V22, V22 == V24, V24 == V26, V8 == V10, V10 == V14, V14 == V21, V21 == V23, V23 == V25, V25 == V27, V1 == V11, V11 == V15, V15 == V28, V2 == V16, V16 == V29, V3 == V17, V4 == V19, V17 == V30, V19 == V31, V5 == V12, V12 == V20, V20 == V32, V6 == V33; #447 ), references = 1, size of lhs = 13:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), complement-{F}(V5,V8), P_meet-{F}(V0,V7,V8), P_meet-{F}(V4,V1,V9), P_join-{F}(V3,V9,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #528: mergings( V26 == V27, V27 == V28, V6 == V8, V8 == V12, V12 == V17, V17 == V19, V19 == V21, V7 == V9, V9 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V1 == V10, V10 == V14, V14 == V23, V2 == V24, V3 == V25, V4 == V28, V5 == V11, V11 == V15, V15 == V29; #504 ), references = 1, size of lhs = 11:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V3,V4,V5), complement-{F}(V5,V0), P_r2-{F}(V6), P_meet-{F}(V4,V1,V7), P_join-{F}(V3,V7,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #553: mergings( V17 == V18, V6 == V8, V8 == V12, V12 == V21, V21 == V23, V23 == V25, V7 == V9, V9 == V13, V13 == V20, V20 == V22, V22 == V24, V24 == V26, V1 == V10, V10 == V14, V14 == V27, V2 == V15, V15 == V28, V3 == V16, V4 == V18, V16 == V29, V18 == V30, V5 == V11, V11 == V19, V19 == V31; #505 ), references = 1, size of lhs = 11:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V3,V4,V5), complement-{F}(V5,V0), P_r2-{F}(V6), P_meet-{F}(V4,V1,V7), P_join-{F}(V3,V7,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #575: mergings( V23 == V24, V24 == V25, V5 == V7, V7 == V10, V10 == V14, V14 == V16, V16 == V18, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V1 == V9, V9 == V12, V12 == V20, V2 == V21, V3 == V22, V4 == V25; #554 ), references = 1, size of lhs = 10:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V3,V4,V5), complement-{F}(V5,V0), P_meet-{F}(V4,V1,V6), P_join-{F}(V3,V6,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #597: mergings( V15 == V16, V5 == V7, V7 == V10, V10 == V18, V18 == V20, V20 == V22, V6 == V8, V8 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V9, V9 == V12, V12 == V24, V2 == V13, V13 == V25, V3 == V14, V4 == V16, V14 == V26, V16 == V27; #555 ), references = 1, size of lhs = 10:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V3,V4,V5), complement-{F}(V5,V0), P_meet-{F}(V4,V1,V6), P_join-{F}(V3,V6,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #628: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V16, V16 == V18, V18 == V20, V4 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V20 == V6, V6 == V11, V11 == V14, V14 == V22; #606 ), references = 1, size of lhs = 5:
% 113.16/113.35 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0), P_a-{F}(V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #655: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V16, V16 == V18, V18 == V20, V4 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V20 == V6, V6 == V11, V11 == V14, V14 == V22; #633 ), references = 1, size of lhs = 4:
% 113.16/113.35 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #665: mergings( V1 == V10, V2 == V11; #662 ), references = 3, size of lhs = 10:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_meet-{F}(V1,V2,V5), P_a2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), complement-{F}(V2,V9) | P_b2-{T}(V9)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #710: mergings( V1 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V2 == V6, V6 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V3 == V4, V4 == V9, V9 == V17, V17 == V22; #690 ), references = 1, size of lhs = 6:
% 113.16/113.35 P_a-{F}(V0), P_n0-{F}(V0), complement-{F}(V0,V1), P_n1-{F}(V2), P_r1-{F}(V3), P_meet-{F}(V1,V3,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #716: exists( #26, #147 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), V2 == V4 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #719: exists( #26, #255 ), references = 2, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_n0-{F}(V5), P_n1-{F}(V6), P_join-{F}(V1,V4,V7), V7 == V6 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #722: exists( #26, #719 ), references = 4, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_n0-{F}(V5), P_n1-{F}(V6) | P_join-{T}(V1,V4,V6)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #723: exists( #26, #255 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_a2-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5) | P_join-{T}(V1,V2,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #732: exists( #26, #160 ), references = 1, size of lhs = 10:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_meet-{F}(V2,V5,V8), V8 == V6 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #735: exists( #25, #733 ), references = 5, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7) | P_meet-{T}(V5,V2,V6)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #737: exists( #25, #250 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_r2-{F}(V4), P_a2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7) | P_meet-{T}(V1,V5,V6)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #743: exists( #26, #741 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b2-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_n0-{F}(V5), P_n1-{F}(V6) | P_join-{T}(V1,V2,V6)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #761: mergings( V3 == V5, V4 == V6; #757 ), references = 1, size of lhs = 6:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_n0-{F}(V2), V0 == V2, P_n1-{F}(V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #768: mergings( V1 == V4, V2 == V5; #765 ), references = 1, size of lhs = 5:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V0), P_n0-{F}(V1), V0 == V1, P_n1-{F}(V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #788: mergings( V6 == V14, V14 == V17, V7 == V15, V15 == V18, V1 == V9, V9 == V19, V2 == V10, V10 == V20, V3 == V11, V5 == V13, V4 == V12, V11 == V21, V12 == V22; #773 ), references = 3, size of lhs = 11:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), P_meet-{F}(V3,V5,V6), complement-{F}(V5,V7), P_join-{F}(V3,V5,V8), P_meet-{F}(V4,V7,V9), complement-{F}(V8,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #803: mergings( V6 == V14, V14 == V17, V7 == V15, V15 == V18, V1 == V9, V9 == V19, V2 == V10, V10 == V20, V3 == V11, V5 == V13, V4 == V12, V11 == V21, V13 == V23, V12 == V22; #774 ), references = 3, size of lhs = 11:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), complement-{F}(V5,V6), P_join-{F}(V3,V5,V7), P_meet-{F}(V3,V5,V8), P_meet-{F}(V4,V6,V9), complement-{F}(V7,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #833: exists( #26, #165 ), references = 2, size of lhs = 10:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7), P_join-{F}(V2,V5,V8), V8 == V7 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #839: exists( #26, #250 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_n0-{F}(V5), P_n1-{F}(V6), P_meet-{F}(V1,V4,V7), V7 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #842: exists( #25, #840 ), references = 4, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_n0-{F}(V5), P_n1-{F}(V6) | P_meet-{T}(V4,V1,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #850: exists( #26, #848 ), references = 5, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_n1-{F}(V7) | P_join-{T}(V5,V2,V7)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #865: mergings( V3 == V6, V5 == V7; #861 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_r2-{F}(V0), P_n0-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_n1-{F}(V4), P_join-{F}(V3,V4,V5), V3 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #870: mergings( V3 == V8, V5 == V9, V4 == V6, V8 == V7; #862 ), references = 1, size of lhs = 10:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V3,V2,V3), P_n0-{F}(V3), P_n1-{F}(V4), V2 == V4, P_meet-{F}(V2,V4,V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #875: exists( #26, #133 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_r2-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), V1 == V4 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #889: exists( #26, #883 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V3,V2,V4), P_n0-{F}(V4), P_n1-{F}(V5), P_meet-{F}(V2,V5,V2) | P_join-{T}(V1,V2,V1)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #927: mergings( V5 == V9, V3 == V6, V4 == V7; #922 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), V0 == V3, P_n1-{F}(V4), P_meet-{F}(V1,V5,V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #931: mergings( V5 == V9, V3 == V6, V4 == V7; #923 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), V3 == V0, P_n1-{F}(V4), P_meet-{F}(V5,V1,V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #975: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #967 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_join-{F}(V1,V0,V2), P_n1-{F}(V2), P_b-{F}(V3), P_n0-{F}(V4), P_join-{F}(V1,V4,V5) | P_join-{T}(V1,V3,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1013: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9; #1008 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V0,V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V1,V0,V5), P_join-{F}(V2,V5,V6), V6 == V3 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1027: mergings( V9 == V10, V3 == V6, V4 == V7; #1023 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V2,V5,V6), P_meet-{F}(V3,V6,V7), P_meet-{F}(V0,V6,V8), V7 == V8 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1036: mergings( V3 == V7, V4 == V8; #1033 ), references = 1, size of lhs = 6:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V0,V5,V5) | P_meet-{T}(V5,V2,V3)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1076: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #1069 ), references = 1, size of lhs = 7:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V2,V0,V3), P_n1-{F}(V3), P_n0-{F}(V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V1,V2,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1092: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9; #1087 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V0,V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V2,V0,V5), P_join-{F}(V1,V5,V6), V6 == V3 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1108: mergings( V3 == V6, V4 == V7; #1105 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_join-{F}(V0,V1,V5), P_join-{F}(V5,V2,V6), V6 == V4 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1172: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V18, V18 == V20, V4 == V7, V7 == V10, V10 == V12, V12 == V19, V19 == V21, V5 == V13; #1157 ), references = 2, size of lhs = 14:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_join-{F}(V0,V1,V9), V9 == V6, P_join-{F}(V1,V0,V9), P_join-{F}(V1,V7,V10), P_meet-{F}(V10,V2,V7) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1184: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V20, V5 == V14; #1158 ), references = 1, size of lhs = 19:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_join-{F}(V1,V0,V9), P_join-{F}(V0,V1,V9), P_join-{F}(V1,V7,V10), P_meet-{F}(V10,V2,V7), P_meet-{F}(V2,V11,V2), P_join-{F}(V12,V2,V2), P_meet-{F}(V9,V11,V13), V13 == V6, P_meet-{F}(V11,V8,V14), P_join-{F}(V12,V14,V8) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1196: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V20, V5 == V14; #1159 ), references = 1, size of lhs = 21:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_join-{F}(V1,V0,V9), P_join-{F}(V0,V1,V9), P_join-{F}(V1,V7,V10), P_meet-{F}(V10,V2,V7), P_join-{F}(V11,V2,V2), P_meet-{F}(V2,V12,V2), P_meet-{F}(V12,V8,V13), P_join-{F}(V11,V13,V8), P_meet-{F}(V14,V9,V15), P_meet-{F}(V16,V14,V12), P_meet-{F}(V16,V15,V17), V6 == V17 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1206: mergings( V3 == V8, V4 == V9; #1203 ), references = 2, size of lhs = 9:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_n0-{F}(V5), P_n1-{F}(V6), P_meet-{F}(V3,V4,V7), V7 == V5 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1212: mergings( V3 == V7, V4 == V8; #1209 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), P_meet-{F}(V3,V6,V6), P_meet-{F}(V6,V1,V1) | P_meet-{T}(V1,V2,V4)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1230: exists( #26, #1226 ), references = 3, size of lhs = 11:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_a2-{F}(V5), P_b2-{F}(V6), P_n0-{F}(V7), P_n1-{F}(V8), P_join-{F}(V1,V7,V9), P_meet-{F}(V9,V2,V7) | P_join-{T}(V0,V1,V6)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1260: mergings( V3 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11, V5 == V12; #1250 ), references = 3, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r2-{F}(V5), P_a2-{F}(V6), P_b2-{F}(V7), P_meet-{F}(V6,V7,V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1268: mergings( V3 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11, V5 == V12; #1251 ), references = 4, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), P_meet-{F}(V3,V5,V6), complement-{F}(V5,V7), P_meet-{F}(V4,V7,V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1276: mergings( V3 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11, V5 == V12; #1252 ), references = 4, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), complement-{F}(V5,V6), P_meet-{F}(V4,V6,V2), P_meet-{F}(V3,V5,V7) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1305: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1299 ), references = 2, size of lhs = 14:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), complement-{F}(V4,V6), P_meet-{F}(V7,V6,V7), P_meet-{F}(V2,V8,V0), P_meet-{F}(V6,V8,V3), P_join-{F}(V7,V3,V9), P_join-{F}(V10,V9,V1), P_meet-{F}(V10,V6,V11), P_join-{F}(V7,V11,V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1310: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1300 ), references = 2, size of lhs = 14:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), complement-{F}(V4,V5), P_meet-{F}(V6,V5,V6), P_meet-{F}(V3,V4,V7), P_meet-{F}(V2,V8,V0), P_meet-{F}(V5,V8,V3), P_join-{F}(V6,V3,V9), P_join-{F}(V10,V9,V1), P_meet-{F}(V10,V5,V11), P_join-{F}(V6,V11,V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1319: mergings( V3 == V6, V4 == V7; #1316 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V3,V1,V5), P_meet-{F}(V0,V1,V6), V5 == V6 | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1323: mergings( V3 == V6, V4 == V7; #1320 ), references = 1, size of lhs = 6:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V3,V1,V5) | P_meet-{T}(V0,V1,V5)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1382: mergings( V10 == V11, V11 == V16, V16 == V18, V5 == V17, V17 == V19, V1 == V6, V6 == V12, V12 == V20, V2 == V7, V7 == V21, V13 == V24, V22 == V25, V3 == V8, V8 == V14, V4 == V9, V9 == V15; #1364 ), references = 1, size of lhs = 12:
% 113.16/113.35 P_r2-{F}(V0), P_a2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_join-{F}(V4,V2,V4), P_a-{F}(V5), P_meet-{F}(V4,V5,V2), P_join-{F}(V5,V2,V6), P_b-{F}(V7), P_meet-{F}(V6,V7,V2), P_meet-{F}(V5,V7,V8) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1399: mergings( V10 == V11, V11 == V16, V16 == V18, V5 == V17, V17 == V19, V1 == V6, V6 == V12, V12 == V20, V2 == V7, V7 == V21, V13 == V24, V22 == V25, V3 == V8, V8 == V14, V4 == V9, V9 == V15; #1365 ), references = 1, size of lhs = 12:
% 113.16/113.35 P_r2-{F}(V0), P_a2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_join-{F}(V4,V2,V4), P_a-{F}(V5), P_meet-{F}(V4,V5,V2), P_join-{F}(V5,V2,V6), P_b-{F}(V7), P_meet-{F}(V6,V7,V2), P_meet-{F}(V5,V7,V8) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1416: mergings( V8 == V9, V9 == V13, V13 == V15, V4 == V14, V14 == V16, V1 == V5, V5 == V10, V10 == V17, V2 == V6, V6 == V18, V11 == V21, V19 == V22, V3 == V7, V7 == V12; #1400 ), references = 1, size of lhs = 11:
% 113.16/113.35 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_join-{F}(V3,V1,V3), P_a-{F}(V4), P_meet-{F}(V3,V4,V1), P_join-{F}(V4,V1,V5), P_b-{F}(V6), P_meet-{F}(V5,V6,V1), P_meet-{F}(V4,V6,V7) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1431: mergings( V8 == V9, V9 == V13, V13 == V15, V4 == V14, V14 == V16, V1 == V5, V5 == V10, V10 == V17, V2 == V6, V6 == V18, V11 == V21, V19 == V22, V3 == V7, V7 == V12; #1401 ), references = 1, size of lhs = 11:
% 113.16/113.35 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_join-{F}(V3,V1,V3), P_a-{F}(V4), P_meet-{F}(V3,V4,V1), P_join-{F}(V4,V1,V5), P_b-{F}(V6), P_meet-{F}(V5,V6,V1), P_meet-{F}(V4,V6,V7) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1486: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1475 ), references = 1, size of lhs = 21:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r2-{F}(V5), P_b2-{F}(V6), unique_complement-{F}(V7,V2), P_meet-{F}(V8,V7,V8), P_join-{F}(V8,V9,V1), P_join-{F}(V10,V8,V7), P_meet-{F}(V11,V9,V11), P_join-{F}(V8,V11,V12), P_join-{F}(V8,V10,V13), P_join-{F}(V14,V13,V1), P_meet-{F}(V14,V7,V15), P_join-{F}(V8,V15,V16), P_meet-{F}(V16,V9,V0), P_join-{F}(V14,V12,V17), P_meet-{F}(V9,V17,V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1495: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1476 ), references = 1, size of lhs = 21:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V2), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), complement-{F}(V4,V6), unique_complement-{F}(V7,V2), P_meet-{F}(V8,V7,V8), P_join-{F}(V8,V9,V1), P_join-{F}(V10,V8,V7), P_meet-{F}(V11,V9,V11), P_join-{F}(V8,V11,V12), P_join-{F}(V8,V10,V13), P_join-{F}(V14,V13,V1), P_meet-{F}(V14,V7,V15), P_join-{F}(V8,V15,V16), P_meet-{F}(V16,V9,V0), P_join-{F}(V14,V12,V17), P_meet-{F}(V9,V17,V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1504: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1477 ), references = 1, size of lhs = 21:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V2), P_b-{F}(V4), complement-{F}(V4,V5), P_meet-{F}(V3,V4,V6), unique_complement-{F}(V7,V2), P_meet-{F}(V8,V7,V8), P_join-{F}(V8,V9,V1), P_join-{F}(V10,V8,V7), P_meet-{F}(V11,V9,V11), P_join-{F}(V8,V11,V12), P_join-{F}(V8,V10,V13), P_join-{F}(V14,V13,V1), P_meet-{F}(V14,V7,V15), P_join-{F}(V8,V15,V16), P_meet-{F}(V16,V9,V0), P_join-{F}(V14,V12,V17), P_meet-{F}(V9,V17,V5) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1587: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1578 ), references = 1, size of lhs = 18:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_b2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_r2-{F}(V5), P_a2-{F}(V6), P_meet-{F}(V6,V7,V7), P_join-{F}(V8,V7,V1), unique_complement-{F}(V9,V2), P_meet-{F}(V8,V9,V8), P_join-{F}(V10,V8,V9), P_join-{F}(V8,V10,V11), P_join-{F}(V12,V11,V1), P_meet-{F}(V12,V9,V13), P_join-{F}(V8,V13,V14), P_meet-{F}(V14,V7,V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1594: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1579 ), references = 1, size of lhs = 18:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), complement-{F}(V5,V2), P_meet-{F}(V3,V5,V6), P_meet-{F}(V4,V7,V7), P_join-{F}(V8,V7,V1), unique_complement-{F}(V9,V2), P_meet-{F}(V8,V9,V8), P_join-{F}(V10,V8,V9), P_join-{F}(V8,V10,V11), P_join-{F}(V12,V11,V1), P_meet-{F}(V12,V9,V13), P_join-{F}(V8,V13,V14), P_meet-{F}(V14,V7,V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1601: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1580 ), references = 1, size of lhs = 18:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), complement-{F}(V5,V2), P_meet-{F}(V3,V5,V6), P_meet-{F}(V4,V7,V7), P_join-{F}(V8,V7,V1), unique_complement-{F}(V9,V2), P_meet-{F}(V8,V9,V8), P_join-{F}(V10,V8,V9), P_join-{F}(V8,V10,V11), P_join-{F}(V12,V11,V1), P_meet-{F}(V12,V9,V13), P_join-{F}(V8,V13,V14), P_meet-{F}(V14,V7,V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1671: mergings( V5 == V7, V6 == V8; #1666 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_a2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_n0-{F}(V4), P_n1-{F}(V5), P_meet-{F}(V2,V5,V2) | P_join-{T}(V2,V3,V3)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1795: exists( #25, #1793 ), references = 1, size of lhs = 8:
% 113.16/113.35 P_r1-{F}(V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V3,V2,V2), P_n0-{F}(V4), P_n1-{F}(V5) | P_meet-{T}(V1,V2,V4)
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1880: mergings( V16 == V18, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1872 ), references = 1, size of lhs = 20:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V9,V8,V9), P_join-{F}(V9,V7,V10), P_meet-{F}(V8,V10,V11), P_meet-{F}(V12,V8,V0), P_meet-{F}(V13,V7,V12), P_meet-{F}(V5,V14,V13), P_join-{F}(V15,V8,V14), P_join-{F}(V16,V9,V17), P_join-{F}(V16,V11,V18), P_join-{F}(V19,V17,V5), P_join-{F}(V19,V18,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1886: mergings( V16 == V18, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1873 ), references = 1, size of lhs = 20:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), P_meet-{F}(V3,V5,V6), complement-{F}(V5,V7), P_join-{F}(V3,V5,V8), P_meet-{F}(V9,V7,V9), P_join-{F}(V9,V4,V10), P_meet-{F}(V7,V10,V11), P_meet-{F}(V12,V7,V0), P_meet-{F}(V13,V4,V12), P_meet-{F}(V8,V14,V13), P_join-{F}(V15,V7,V14), P_join-{F}(V16,V9,V17), P_join-{F}(V16,V11,V18), P_join-{F}(V19,V17,V8), P_join-{F}(V19,V18,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1892: mergings( V16 == V18, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1874 ), references = 1, size of lhs = 20:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_b-{F}(V5), complement-{F}(V5,V6), P_join-{F}(V3,V5,V7), P_meet-{F}(V3,V5,V8), P_meet-{F}(V9,V6,V9), P_join-{F}(V9,V4,V10), P_meet-{F}(V6,V10,V11), P_meet-{F}(V12,V6,V0), P_meet-{F}(V13,V4,V12), P_meet-{F}(V7,V14,V13), P_join-{F}(V15,V6,V14), P_join-{F}(V16,V9,V17), P_join-{F}(V16,V11,V18), P_join-{F}(V19,V17,V7), P_join-{F}(V19,V18,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1931: mergings( V24 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #1917 ), references = 1, size of lhs = 28:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_a2-{F}(V7), P_meet-{F}(V7,V8,V7), P_b2-{F}(V9), P_meet-{F}(V10,V8,V10), P_meet-{F}(V11,V9,V0), P_meet-{F}(V12,V7,V11), P_meet-{F}(V5,V13,V12), P_join-{F}(V14,V9,V13), P_meet-{F}(V8,V15,V9), P_join-{F}(V10,V16,V15), P_meet-{F}(V17,V16,V17), P_join-{F}(V17,V8,V18), P_meet-{F}(V16,V18,V19), P_join-{F}(V7,V16,V20), P_meet-{F}(V8,V20,V21), P_meet-{F}(V9,V21,V22), P_join-{F}(V23,V17,V24), P_join-{F}(V23,V19,V25), P_join-{F}(V24,V22,V26), P_join-{F}(V27,V25,V5), P_join-{F}(V27,V26,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1943: mergings( V24 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #1918 ), references = 1, size of lhs = 28:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_meet-{F}(V4,V5,V4), P_b-{F}(V6), P_meet-{F}(V3,V6,V7), complement-{F}(V6,V8), P_join-{F}(V3,V6,V9), P_meet-{F}(V10,V5,V10), P_meet-{F}(V11,V8,V0), P_meet-{F}(V12,V4,V11), P_meet-{F}(V9,V13,V12), P_join-{F}(V14,V8,V13), P_meet-{F}(V5,V15,V8), P_join-{F}(V10,V16,V15), P_meet-{F}(V17,V16,V17), P_join-{F}(V17,V5,V18), P_meet-{F}(V16,V18,V19), P_join-{F}(V4,V16,V20), P_meet-{F}(V5,V20,V21), P_meet-{F}(V8,V21,V22), P_join-{F}(V23,V17,V24), P_join-{F}(V23,V19,V25), P_join-{F}(V24,V22,V26), P_join-{F}(V27,V25,V9), P_join-{F}(V27,V26,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #1955: mergings( V24 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #1919 ), references = 1, size of lhs = 28:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4), P_meet-{F}(V4,V5,V4), P_b-{F}(V6), complement-{F}(V6,V7), P_join-{F}(V3,V6,V8), P_meet-{F}(V3,V6,V9), P_meet-{F}(V10,V5,V10), P_meet-{F}(V11,V7,V0), P_meet-{F}(V12,V4,V11), P_meet-{F}(V8,V13,V12), P_join-{F}(V14,V7,V13), P_meet-{F}(V5,V15,V7), P_join-{F}(V10,V16,V15), P_meet-{F}(V17,V16,V17), P_join-{F}(V17,V5,V18), P_meet-{F}(V16,V18,V19), P_join-{F}(V4,V16,V20), P_meet-{F}(V5,V20,V21), P_meet-{F}(V7,V21,V22), P_join-{F}(V23,V17,V24), P_join-{F}(V23,V19,V25), P_join-{F}(V24,V22,V26), P_join-{F}(V27,V25,V8), P_join-{F}(V27,V26,V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2127: mergings( V17 == V25, V25 == V30, V53 == V54, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V5 == V15, V15 == V23, V23 == V28, V28 == V47, V16 == V24, V24 == V29, V29 == V48, V31 == V49; #2082 ), references = 1, size of lhs = 36:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V3,V5,V3), P_join-{F}(V4,V5,V4), P_r2-{F}(V6), P_meet-{F}(V6,V6,V6), P_a2-{F}(V7), P_b2-{F}(V8), P_join-{F}(V3,V0,V9), P_meet-{F}(V9,V4,V5), P_meet-{F}(V9,V7,V10), P_meet-{F}(V10,V8,V0), P_join-{F}(V3,V2,V11), P_meet-{F}(V5,V11,V5), P_meet-{F}(V11,V1,V11), P_join-{F}(V2,V3,V11), P_join-{F}(V4,V2,V12), P_meet-{F}(V5,V12,V5), P_meet-{F}(V12,V1,V13), P_join-{F}(V2,V4,V13), P_join-{F}(V4,V0,V14), P_meet-{F}(V14,V3,V5), P_meet-{F}(V6,V15,V6), P_meet-{F}(V11,V16,V11), P_join-{F}(V17,V1,V16), P_join-{F}(V17,V5,V18), P_meet-{F}(V18,V11,V18), P_join-{F}(V7,V18,V15), P_meet-{F}(V5,V18,V5), P_join-{F}(V19,V5,V18), P_meet-{F}(V18,V1,V20), P_join-{F}(V19,V20,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2170: mergings( V17 == V25, V25 == V31, V31 == V50, V53 == V54, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V19, V19 == V21, V21 == V27, V27 == V34, V34 == V36, V36 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V28, V28 == V35, V35 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V5 == V15, V15 == V23, V23 == V29, V29 == V49, V16 == V24, V24 == V30, V26 == V32; #2083 ), references = 1, size of lhs = 38:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_b-{F}(V7), complement-{F}(V7,V2), P_meet-{F}(V6,V7,V8), P_join-{F}(V6,V8,V6), P_join-{F}(V7,V8,V7), P_join-{F}(V6,V3,V9), P_meet-{F}(V9,V7,V8), P_meet-{F}(V9,V1,V10), P_meet-{F}(V10,V2,V3), P_join-{F}(V6,V5,V11), P_meet-{F}(V8,V11,V8), P_meet-{F}(V11,V4,V11), P_join-{F}(V5,V6,V11), P_join-{F}(V7,V5,V12), P_meet-{F}(V8,V12,V8), P_meet-{F}(V12,V4,V13), P_join-{F}(V5,V7,V13), P_join-{F}(V7,V3,V14), P_meet-{F}(V14,V6,V8), P_meet-{F}(V0,V15,V0), P_meet-{F}(V11,V16,V11), P_join-{F}(V17,V4,V16), P_join-{F}(V17,V8,V18), P_meet-{F}(V18,V11,V18), P_join-{F}(V1,V18,V15), P_meet-{F}(V8,V18,V8), P_join-{F}(V19,V8,V18), P_meet-{F}(V18,V4,V20), P_join-{F}(V19,V20,V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2213: mergings( V17 == V25, V25 == V31, V31 == V50, V53 == V54, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V19, V19 == V21, V21 == V27, V27 == V34, V34 == V36, V36 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V28, V28 == V35, V35 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V5 == V15, V15 == V23, V23 == V29, V29 == V49, V16 == V24, V24 == V30, V26 == V32; #2084 ), references = 1, size of lhs = 38:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_b-{F}(V7), complement-{F}(V7,V2), P_meet-{F}(V6,V7,V8), P_join-{F}(V6,V8,V6), P_join-{F}(V7,V8,V7), P_join-{F}(V6,V3,V9), P_meet-{F}(V9,V7,V8), P_meet-{F}(V9,V1,V10), P_meet-{F}(V10,V2,V3), P_join-{F}(V6,V5,V11), P_meet-{F}(V8,V11,V8), P_meet-{F}(V11,V4,V11), P_join-{F}(V5,V6,V11), P_join-{F}(V7,V5,V12), P_meet-{F}(V8,V12,V8), P_meet-{F}(V12,V4,V13), P_join-{F}(V5,V7,V13), P_join-{F}(V7,V3,V14), P_meet-{F}(V14,V6,V8), P_meet-{F}(V0,V15,V0), P_meet-{F}(V11,V16,V11), P_join-{F}(V17,V4,V16), P_join-{F}(V17,V8,V18), P_meet-{F}(V18,V11,V18), P_join-{F}(V1,V18,V15), P_meet-{F}(V8,V18,V8), P_join-{F}(V19,V8,V18), P_meet-{F}(V18,V4,V20), P_join-{F}(V19,V20,V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2292: mergings( V49 == V50, V51 == V54, V50 == V59, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V24, V24 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V5 == V15, V15 == V22, V22 == V26, V26 == V44, V16 == V23, V23 == V27, V27 == V45, V28 == V46; #2247 ), references = 1, size of lhs = 28:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_r2-{F}(V5), P_meet-{F}(V5,V5,V5), P_a2-{F}(V6), P_b2-{F}(V7), P_meet-{F}(V3,V6,V8), P_meet-{F}(V8,V7,V0), P_join-{F}(V3,V2,V9), P_meet-{F}(V3,V9,V3), P_meet-{F}(V9,V1,V9), P_join-{F}(V2,V3,V9), P_join-{F}(V4,V2,V10), P_meet-{F}(V10,V1,V11), P_join-{F}(V2,V4,V11), P_join-{F}(V12,V4,V10), P_join-{F}(V3,V1,V13), P_meet-{F}(V9,V13,V9), P_join-{F}(V6,V3,V14), P_meet-{F}(V5,V14,V5), P_meet-{F}(V3,V1,V15), P_join-{F}(V3,V15,V3), P_join-{F}(V16,V3,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2334: mergings( V48 == V49, V50 == V53, V49 == V58, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V25, V25 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V5 == V15, V15 == V22, V22 == V27, V27 == V46, V16 == V23, V23 == V28, V24 == V29; #2248 ), references = 1, size of lhs = 30:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_join-{F}(V6,V3,V6), P_b-{F}(V7), complement-{F}(V7,V2), P_join-{F}(V7,V3,V7), P_meet-{F}(V6,V1,V8), P_meet-{F}(V8,V2,V3), P_join-{F}(V6,V5,V9), P_meet-{F}(V6,V9,V6), P_meet-{F}(V9,V4,V9), P_join-{F}(V5,V6,V9), P_join-{F}(V7,V5,V10), P_meet-{F}(V10,V4,V11), P_join-{F}(V5,V7,V11), P_join-{F}(V12,V7,V10), P_join-{F}(V6,V4,V13), P_meet-{F}(V9,V13,V9), P_join-{F}(V1,V6,V14), P_meet-{F}(V0,V14,V0), P_meet-{F}(V6,V4,V15), P_join-{F}(V6,V15,V6), P_join-{F}(V16,V6,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2376: mergings( V48 == V49, V50 == V53, V49 == V58, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V25, V25 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V5 == V15, V15 == V22, V22 == V27, V27 == V46, V16 == V23, V23 == V28, V24 == V29; #2249 ), references = 1, size of lhs = 30:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_join-{F}(V6,V3,V6), P_b-{F}(V7), complement-{F}(V7,V2), P_join-{F}(V7,V3,V7), P_meet-{F}(V6,V1,V8), P_meet-{F}(V8,V2,V3), P_join-{F}(V6,V5,V9), P_meet-{F}(V6,V9,V6), P_meet-{F}(V9,V4,V9), P_join-{F}(V5,V6,V9), P_join-{F}(V7,V5,V10), P_meet-{F}(V10,V4,V11), P_join-{F}(V5,V7,V11), P_join-{F}(V12,V7,V10), P_join-{F}(V6,V4,V13), P_meet-{F}(V9,V13,V9), P_join-{F}(V1,V6,V14), P_meet-{F}(V0,V14,V0), P_meet-{F}(V6,V4,V15), P_join-{F}(V6,V15,V6), P_join-{F}(V16,V6,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2434: mergings( V50 == V51, V51 == V56, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V24, V24 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V0 == V15, V15 == V22, V22 == V26, V26 == V44, V16 == V23, V23 == V27, V27 == V46, V28 == V47; #2389 ), references = 1, size of lhs = 25:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_r2-{F}(V5), P_meet-{F}(V5,V5,V5), P_a2-{F}(V6), P_b2-{F}(V7), P_meet-{F}(V3,V6,V8), P_meet-{F}(V8,V7,V0), P_join-{F}(V3,V2,V9), P_meet-{F}(V3,V9,V3), P_meet-{F}(V9,V1,V9), P_join-{F}(V2,V3,V9), P_join-{F}(V3,V1,V10), P_meet-{F}(V9,V10,V9), P_join-{F}(V6,V3,V11), P_meet-{F}(V5,V11,V5), P_meet-{F}(V3,V1,V12), P_join-{F}(V3,V12,V3), P_join-{F}(V13,V3,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2476: mergings( V49 == V50, V50 == V55, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V25, V25 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V0 == V15, V15 == V22, V22 == V27, V27 == V46, V16 == V23, V23 == V28, V24 == V29; #2390 ), references = 1, size of lhs = 27:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_join-{F}(V6,V3,V6), P_b-{F}(V7), complement-{F}(V7,V2), P_join-{F}(V7,V3,V7), P_join-{F}(V7,V7,V7), P_meet-{F}(V6,V1,V8), P_meet-{F}(V8,V2,V3), P_join-{F}(V6,V5,V9), P_meet-{F}(V6,V9,V6), P_meet-{F}(V9,V4,V9), P_join-{F}(V5,V6,V9), P_join-{F}(V6,V4,V10), P_meet-{F}(V9,V10,V9), P_join-{F}(V1,V6,V11), P_meet-{F}(V0,V11,V0), P_meet-{F}(V6,V4,V12), P_join-{F}(V6,V12,V6), P_join-{F}(V13,V6,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2518: mergings( V49 == V50, V50 == V55, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V25, V25 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V0 == V15, V15 == V22, V22 == V27, V27 == V46, V16 == V23, V23 == V28, V24 == V29; #2391 ), references = 1, size of lhs = 27:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_join-{F}(V6,V3,V6), P_b-{F}(V7), complement-{F}(V7,V2), P_join-{F}(V7,V3,V7), P_join-{F}(V7,V7,V7), P_meet-{F}(V6,V1,V8), P_meet-{F}(V8,V2,V3), P_join-{F}(V6,V5,V9), P_meet-{F}(V6,V9,V6), P_meet-{F}(V9,V4,V9), P_join-{F}(V5,V6,V9), P_join-{F}(V6,V4,V10), P_meet-{F}(V9,V10,V9), P_join-{F}(V1,V6,V11), P_meet-{F}(V0,V11,V0), P_meet-{F}(V6,V4,V12), P_join-{F}(V6,V12,V6), P_join-{F}(V13,V6,V9) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2578: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V21, V21 == V25, V25 == V30, V30 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V31, V31 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V0 == V16, V16 == V23, V23 == V27, V27 == V45, V17 == V24, V24 == V28, V28 == V47, V29 == V48; #2534 ), references = 1, size of lhs = 20:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_r2-{F}(V5), P_meet-{F}(V5,V5,V5), P_a2-{F}(V6), P_b2-{F}(V7), P_meet-{F}(V3,V6,V8), P_meet-{F}(V8,V7,V0), P_join-{F}(V6,V3,V9), P_meet-{F}(V5,V9,V5), P_meet-{F}(V3,V1,V10), P_join-{F}(V3,V10,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2619: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V0 == V16, V16 == V23, V23 == V28, V28 == V47, V17 == V24, V24 == V29, V25 == V30; #2535 ), references = 1, size of lhs = 22:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_join-{F}(V6,V3,V6), P_join-{F}(V6,V4,V4), P_join-{F}(V6,V6,V6), P_b-{F}(V7), complement-{F}(V7,V2), P_join-{F}(V7,V3,V7), P_join-{F}(V7,V7,V7), P_meet-{F}(V6,V1,V8), P_meet-{F}(V8,V2,V3), P_join-{F}(V1,V6,V9), P_meet-{F}(V0,V9,V0), P_meet-{F}(V6,V4,V10), P_join-{F}(V6,V10,V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2660: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V21, V21 == V26, V26 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V0 == V16, V16 == V23, V23 == V28, V28 == V47, V17 == V24, V24 == V29, V25 == V30; #2536 ), references = 1, size of lhs = 22:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_b2-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_r1-{F}(V5), P_a-{F}(V6), complement-{F}(V6,V1), P_join-{F}(V6,V3,V6), P_join-{F}(V6,V4,V4), P_join-{F}(V6,V6,V6), P_b-{F}(V7), complement-{F}(V7,V2), P_join-{F}(V7,V3,V7), P_join-{F}(V7,V7,V7), P_meet-{F}(V6,V1,V8), P_meet-{F}(V8,V2,V3), P_join-{F}(V1,V6,V9), P_meet-{F}(V0,V9,V0), P_meet-{F}(V6,V4,V10), P_join-{F}(V6,V10,V6) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2724: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V24, V24 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V5 == V15, V15 == V22, V22 == V26, V26 == V44, V16 == V23, V23 == V27, V27 == V47, V28 == V48; #2680 ), references = 1, size of lhs = 18:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_r2-{F}(V5), P_meet-{F}(V5,V5,V5), P_a2-{F}(V6), P_meet-{F}(V3,V6,V0), P_join-{F}(V6,V3,V7), P_meet-{F}(V5,V7,V5), P_meet-{F}(V3,V1,V8), P_join-{F}(V3,V8,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2777: mergings( V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V30, V30 == V32, V32 == V37, V37 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V5 == V12, V12 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V38, V38 == V43, V43 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V1 == V6, V6 == V17, V17 == V27, V27 == V34, V34 == V39, V39 == V57, V2 == V7, V7 == V58, V3 == V8, V8 == V28, V28 == V35, V35 == V40, V4 == V9, V9 == V36, V36 == V41; #2681 ), references = 1, size of lhs = 19:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_a-{F}(V5), complement-{F}(V5,V1), P_join-{F}(V5,V2,V5), P_join-{F}(V5,V3,V3), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V1,V2), P_b-{F}(V6), P_join-{F}(V6,V2,V6), P_join-{F}(V6,V6,V6), P_join-{F}(V1,V5,V7), P_meet-{F}(V0,V7,V0), P_meet-{F}(V5,V3,V8), P_join-{F}(V5,V8,V5) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2830: mergings( V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V30, V30 == V32, V32 == V37, V37 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V5 == V12, V12 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V38, V38 == V43, V43 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V1 == V6, V6 == V17, V17 == V27, V27 == V34, V34 == V39, V39 == V57, V2 == V7, V7 == V58, V3 == V8, V8 == V28, V28 == V35, V35 == V40, V4 == V9, V9 == V36, V36 == V41; #2682 ), references = 1, size of lhs = 19:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_a2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_a-{F}(V5), complement-{F}(V5,V1), P_join-{F}(V5,V2,V5), P_join-{F}(V5,V3,V3), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V1,V2), P_b-{F}(V6), P_join-{F}(V6,V2,V6), P_join-{F}(V6,V6,V6), P_join-{F}(V1,V5,V7), P_meet-{F}(V0,V7,V0), P_meet-{F}(V5,V3,V8), P_join-{F}(V5,V8,V5) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2897: mergings( V4 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V29, V29 == V33, V33 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V5 == V9, V9 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V34, V34 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V1 == V6, V6 == V14, V14 == V24, V24 == V31, V31 == V35, V35 == V52, V2 == V7, V7 == V54, V3 == V8, V8 == V25, V25 == V32, V32 == V36, V36 == V55; #2845 ), references = 1, size of lhs = 15:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_r2-{F}(V5), P_meet-{F}(V5,V5,V5), P_meet-{F}(V5,V1,V5), P_meet-{F}(V3,V1,V6), P_join-{F}(V3,V6,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #2956: mergings( V4 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V37, V37 == V39, V39 == V43, V43 == V47, V47 == V49, V49 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58, V58 == V60, V8 == V9, V9 == V13, V13 == V19, V19 == V23, V23 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V44, V44 == V48, V48 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V59, V59 == V61, V1 == V5, V5 == V10, V10 == V14, V14 == V24, V24 == V34, V34 == V41, V41 == V45, V45 == V62, V11 == V15, V15 == V63, V2 == V6, V6 == V64, V3 == V7, V7 == V12, V12 == V16, V16 == V35, V35 == V42, V42 == V46; #2846 ), references = 1, size of lhs = 15:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_n0-{F}(V1), P_n1-{F}(V2), P_meet-{F}(V0,V2,V0), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V1,V4), P_join-{F}(V4,V2,V2), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V4,V2,V6), P_join-{F}(V4,V6,V4) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3015: mergings( V4 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V37, V37 == V39, V39 == V43, V43 == V47, V47 == V49, V49 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58, V58 == V60, V8 == V9, V9 == V13, V13 == V19, V19 == V23, V23 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V44, V44 == V48, V48 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V59, V59 == V61, V1 == V5, V5 == V10, V10 == V14, V14 == V24, V24 == V34, V34 == V41, V41 == V45, V45 == V62, V11 == V15, V15 == V63, V2 == V6, V6 == V64, V3 == V7, V7 == V12, V12 == V16, V16 == V35, V35 == V42, V42 == V46; #2847 ), references = 1, size of lhs = 15:
% 113.16/113.35 P_r2-{F}(V0), P_meet-{F}(V0,V0,V0), P_n0-{F}(V1), P_n1-{F}(V2), P_meet-{F}(V0,V2,V0), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V1,V4), P_join-{F}(V4,V2,V2), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V4,V2,V6), P_join-{F}(V4,V6,V4) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3073: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V30, V30 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V5 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V2 == V6, V6 == V13, V13 == V23, V23 == V29, V29 == V32, V32 == V48, V3 == V7, V7 == V50; #3025 ), references = 1, size of lhs = 12:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V3,V5,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3127: mergings( V1 == V4, V4 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V38, V38 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V7 == V8, V8 == V11, V11 == V16, V16 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V39, V39 == V42, V42 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V2 == V5, V5 == V9, V9 == V12, V12 == V21, V21 == V31, V31 == V37, V37 == V40, V40 == V56, V10 == V13, V13 == V57, V3 == V6, V6 == V58; #3026 ), references = 1, size of lhs = 12:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V3,V5,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3181: mergings( V1 == V4, V4 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V38, V38 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V7 == V8, V8 == V11, V11 == V16, V16 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V39, V39 == V42, V42 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V2 == V5, V5 == V9, V9 == V12, V12 == V21, V21 == V31, V31 == V37, V37 == V40, V40 == V56, V10 == V13, V13 == V57, V3 == V6, V6 == V58; #3027 ), references = 1, size of lhs = 12:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V3,V5,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3234: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V28, V28 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V4 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V2 == V5, V5 == V11, V11 == V21, V21 == V27, V27 == V30, V30 == V46; #3188 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V1,V4), P_join-{F}(V3,V4,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3286: mergings( V1 == V3, V3 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V36, V36 == V39, V39 == V41, V41 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V5 == V6, V6 == V9, V9 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V2 == V4, V4 == V7, V7 == V10, V10 == V19, V19 == V29, V29 == V35, V35 == V38, V38 == V54, V8 == V11, V11 == V55; #3189 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V1,V4), P_join-{F}(V3,V4,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3338: mergings( V1 == V3, V3 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V36, V36 == V39, V39 == V41, V41 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V5 == V6, V6 == V9, V9 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V2 == V4, V4 == V7, V7 == V10, V10 == V19, V19 == V29, V29 == V35, V35 == V38, V38 == V54, V8 == V11, V11 == V55; #3190 ), references = 1, size of lhs = 9:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V1,V4), P_join-{F}(V3,V4,V3) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3398: mergings( V1 == V2, V2 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V26, V26 == V29, V29 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V5 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V3 == V6, V6 == V12, V12 == V22, V22 == V28, V28 == V31, V31 == V47; #3351 ), references = 1, size of lhs = 3:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3440: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V4 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40; #3399 ), references = 1, size of lhs = 2:
% 113.16/113.35 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3465: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22; #3441 ), references = 1, size of lhs = 1:
% 113.16/113.35 P_n0-{F}(V0) | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 #3469: exists( #27, #3441 ), references = 1, size of lhs = 0:
% 113.16/113.35 FALSE | FALSE
% 113.16/113.35 (used 0 times, uses = {})
% 113.16/113.35
% 113.16/113.35 number of learnt formulas = 135
% 113.16/113.35
% 113.16/113.35
% 113.16/113.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.16/113.35
% 113.16/113.35 randbase = 1
%------------------------------------------------------------------------------