TSTP Solution File: LAT004-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 170.95s 171.13s
% Output : Refutation 170.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 20:16:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 170.95/171.13 GeoParameters:
% 170.95/171.13
% 170.95/171.13 tptp_input = 1
% 170.95/171.13 tptp_output = 0
% 170.95/171.13 nonempty = 1
% 170.95/171.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.95/171.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 170.95/171.13
% 170.95/171.13
% 170.95/171.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.95/171.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.95/171.13
% 170.95/171.13 RuleSystem INPUT:
% 170.95/171.13
% 170.95/171.13 Initial Rules:
% 170.95/171.13 #0: input, references = 4, size of lhs = 2:
% 170.95/171.13 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1: input, references = 4, size of lhs = 2:
% 170.95/171.13 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2: input, references = 4, size of lhs = 3:
% 170.95/171.13 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #3: input, references = 6, size of lhs = 3:
% 170.95/171.13 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #4: input, references = 7, size of lhs = 3:
% 170.95/171.13 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #5: input, references = 4, size of lhs = 3:
% 170.95/171.13 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #6: input, references = 9, size of lhs = 5:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #7: input, references = 6, size of lhs = 5:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #8: input, references = 4, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #9: input, references = 4, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #10: input, references = 3, size of lhs = 4:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #11: input, references = 4, size of lhs = 4:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #12: input, references = 12, size of lhs = 8:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #13: input, references = 11, size of lhs = 5:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V0 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #14: input, references = 9, size of lhs = 5:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #15: input, references = 11, size of lhs = 4:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V1) | complement-{T}(V2,V3)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #16: input, references = 10, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), unique_complement-{F}(V2,V3) | complement-{T}(V2,V3)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #17: input, references = 9, size of lhs = 5:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), unique_complement-{F}(V4,V2), complement-{F}(V4,V3), V3 == V2 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #18: input, references = 5, size of lhs = 4:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #19: input, references = 6, size of lhs = 4:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_f-{F}(V2,V3,V3), complement-{F}(V2,V3) | unique_complement-{T}(V2,V3)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #20: input, references = 19, size of lhs = 6:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #21: input, references = 14, size of lhs = 8:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #22: input, references = 13, size of lhs = 9:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #23: input, references = 17, size of lhs = 10:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #24: input, references = 10, size of lhs = 12:
% 170.95/171.13 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), unique_complement-{F}(V5,V10) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #25: input, references = 33, size of lhs = 2:
% 170.95/171.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #26: input, references = 41, size of lhs = 2:
% 170.95/171.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #27: input, references = 4, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_n0-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #28: input, references = 4, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_n1-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #29: input, references = 5, size of lhs = 2:
% 170.95/171.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #30: input, references = 4, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_r1-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #31: input, references = 5, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_a-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #32: input, references = 7, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_b-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #33: input, references = 7, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_r2-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #34: input, references = 7, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_a2-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #35: input, references = 7, size of lhs = 0:
% 170.95/171.13 FALSE | EXISTS V0: P_b2-{T}(V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 number of initial rules = 36
% 170.95/171.13
% 170.95/171.13 Simplifiers:
% 170.95/171.13 #36: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #37: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #38: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #39: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #40: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #41: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #42: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #43: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #44: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #45: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #46: unsound, references = 3, size of lhs = 3:
% 170.95/171.13 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 number of simplifiers = 11
% 170.95/171.13
% 170.95/171.13 Learnt:
% 170.95/171.13 #49: exists( #26, #1 ), references = 3, size of lhs = 1:
% 170.95/171.13 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #50: exists( #26, #3 ), references = 30, size of lhs = 1:
% 170.95/171.13 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #53: exists( #26, #9 ), references = 20, size of lhs = 2:
% 170.95/171.13 P_n0-{F}(V0), #-{F} V1 | P_join-{T}(V1,V0,V1)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #56: exists( #25, #0 ), references = 5, size of lhs = 1:
% 170.95/171.13 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #57: exists( #25, #2 ), references = 69, size of lhs = 1:
% 170.95/171.13 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #59: exists( #26, #5 ), references = 92, size of lhs = 1:
% 170.95/171.13 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #61: exists( #26, #11 ), references = 18, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_join-{T}(V2,V1,V1)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #71: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #66 ), references = 1, size of lhs = 6:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #79: mergings( V1 == V2, V2 == V8, V3 == V9; #75 ), references = 2, size of lhs = 7:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #84: mergings( V1 == V9, V2 == V10; #81 ), references = 3, size of lhs = 9:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #88: exists( #25, #4 ), references = 77, size of lhs = 1:
% 170.95/171.13 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #89: exists( #25, #8 ), references = 1, size of lhs = 2:
% 170.95/171.13 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #90: exists( #25, #12 ), references = 19, size of lhs = 6:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #99: mergings( V3 == V8, V4 == V9; #96 ), references = 6, size of lhs = 9:
% 170.95/171.13 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_join-{F}(V3,V4,V7), V7 == V6 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #104: mergings( V3 == V5; #102 ), references = 1, size of lhs = 6:
% 170.95/171.13 P_r2-{F}(V0), P_n0-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_n1-{F}(V4) | P_meet-{T}(V2,V3,V4)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #109: exists( #25, #107 ), references = 1, size of lhs = 7:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #113: exists( #25, #111 ), references = 1, size of lhs = 7:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #128: mergings( V3 == V9, V9 == V11, V4 == V10, V10 == V12; #123 ), references = 1, size of lhs = 10:
% 170.95/171.13 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_n0-{F}(V6), P_n1-{F}(V7), P_meet-{F}(V1,V5,V8), V8 == V6 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #134: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11; #129 ), references = 2, size of lhs = 9:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #151: mergings( V3 == V4, V4 == V6, V5 == V7; #147 ), references = 1, size of lhs = 5:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #163: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #158 ), references = 4, size of lhs = 7:
% 170.95/171.13 P_r2-{F}(V0), P_n1-{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_meet-{T}(V2,V3,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #168: mergings( V1 == V10, V2 == V11; #165 ), references = 3, size of lhs = 10:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #172: mergings( V0 == V5, V1 == V6; #169 ), references = 1, size of lhs = 6:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3), P_f-{F}(V2,V3,V4), P_join-{F}(V2,V4,V5), V5 == V1 | unique_complement-{T}(V2,V3)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #176: mergings( V0 == V5, V1 == V6; #173 ), references = 3, size of lhs = 13:
% 170.95/171.13 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,V6), P_f-{F}(V5,V6,V7), P_r2-{F}(V8), P_meet-{F}(V3,V4,V9), P_a2-{F}(V10), P_b2-{F}(V11), P_meet-{F}(V10,V11,V6) | complement-{T}(V5,V7)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #188: mergings( V3 == V4, V4 == V13, V0 == V5, V5 == V14; #183 ), references = 2, size of lhs = 12:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_n1-{F}(V3), complement-{F}(V3,V4), P_r2-{F}(V5), P_meet-{F}(V1,V2,V6), P_a2-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V7,V8,V4), P_n0-{F}(V9) | P_f-{T}(V3,V4,V9)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #205: mergings( V3 == V9, V9 == V11, V4 == V10, V10 == V12; #200 ), references = 1, size of lhs = 9:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b2-{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,V2,V6)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #214: mergings( V3 == V10, V10 == V12, V4 == V11, V11 == V13; #209 ), references = 3, size of lhs = 11:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #216: exists( #26, #14 ), references = 18, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #219: exists( #25, #134 ), references = 3, size of lhs = 7:
% 170.95/171.13 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}(V1,V4,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #220: exists( #25, #13 ), references = 20, size of lhs = 3:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_meet-{T}(V2,V3,V0)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #235: mergings( V3 == V4, V4 == V9, V9 == V11, V5 == V10, V10 == V12; #229 ), references = 2, size of lhs = 9:
% 170.95/171.13 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,V1,V5), P_n0-{F}(V5), P_n1-{F}(V6), P_meet-{F}(V1,V6,V7) | P_meet-{T}(V1,V2,V7)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #246: mergings( V3 == V9, V9 == V11, V4 == V10, V10 == V12; #241 ), references = 2, size of lhs = 10:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #255: mergings( V3 == V10, V10 == V12, V4 == V11, V11 == V13; #250 ), references = 2, size of lhs = 11:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #260: exists( #26, #7 ), references = 32, size of lhs = 3:
% 170.95/171.13 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #268: exists( #25, #6 ), references = 32, size of lhs = 3:
% 170.95/171.13 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #277: exists( #26, #12 ), references = 9, size of lhs = 6:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #288: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #283 ), references = 13, size of lhs = 10:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #332: mergings( V6 == V14, V3 == V8, V8 == V11, V11 == V18, V18 == V20, V20 == V22, V4 == V9, V9 == V10, V10 == V12, V12 == V19, V19 == V21, V21 == V23, V5 == V13, V7 == V15; #316 ), references = 1, size of lhs = 14:
% 170.95/171.13 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}(V1,V8,V9), P_join-{F}(V2,V9,V8), P_meet-{F}(V10,V1,V1), P_meet-{F}(V10,V6,V11), V6 == V11 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #357: mergings( V6 == V14, V14 == V24, V3 == V8, V8 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V27, V27 == V29, V29 == V31, V4 == V9, V9 == V10, V10 == V12, V12 == V18, V18 == V20, V20 == V22, V22 == V28, V28 == V30, V30 == V32, V5 == V13, V13 == V23, V7 == V15, V15 == V25, V16 == V26; #317 ), references = 1, size of lhs = 12:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #388: mergings( V6 == V11, V3 == V8, V8 == V14, V14 == V17, V17 == V25, V4 == V9, V9 == V15, V15 == V16, V16 == V18, V18 == V26, V5 == V10, V10 == V19, V0 == V20, V11 == V21, V7 == V12, V12 == V22, V13 == V23; #370 ), references = 1, size of lhs = 12:
% 170.95/171.13 P_b2-{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_a2-{F}(V5), P_n0-{F}(V6), V5 == V6, P_n1-{F}(V7), P_meet-{F}(V3,V7,V8), P_join-{F}(V2,V8,V7) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #454: mergings( V32 == V6, V6 == V11, V11 == V26, V3 == V8, V8 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V29, V29 == V34, V34 == V35, V35 == V37, V4 == V9, V9 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V30, V30 == V26, V26 == V36, V36 == V38, V5 == V10, V10 == V25, V25 == V31, V31 == V39, V7 == V12, V12 == V27, V27 == V33, V33 == V40, V13 == V28, V28 == V41; #419 ), references = 1, size of lhs = 18:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V4,V1,V1), P_join-{F}(V3,V4,V1), P_r2-{F}(V5), P_meet-{F}(V5,V1,V5), P_a2-{F}(V6), P_meet-{F}(V6,V3,V0), P_b2-{F}(V7), P_meet-{F}(V4,V1,V8), P_join-{F}(V3,V8,V1), P_meet-{F}(V9,V3,V3), P_meet-{F}(V6,V9,V10), P_meet-{F}(V10,V7,V0) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #493: mergings( V27 == V37, V37 == V38, V38 == V39, V1 == V5, V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V24 == V29, V29 == V30, V30 == V32, V2 == V6, V6 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V25, V25 == V39, V39 == V31, V31 == V33, V3 == V7, V7 == V21, V21 == V26, V26 == V34, V4 == V8, V8 == V22, V22 == V28, V28 == V40, V9 == V23, V23 == V41; #458 ), references = 1, size of lhs = 16:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V4,V1,V1), P_join-{F}(V3,V4,V1), P_r2-{F}(V5), P_meet-{F}(V5,V1,V5), P_a2-{F}(V6), P_meet-{F}(V6,V3,V0), P_meet-{F}(V4,V1,V7), P_join-{F}(V3,V7,V1), P_meet-{F}(V8,V3,V3), P_meet-{F}(V6,V8,V0) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #532: mergings( V28 == V38, V38 == V39, V39 == V40, V5 == V9, V9 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V30, V30 == V31, V31 == V33, V4 == V6, V6 == V10, V10 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V40, V40 == V32, V32 == V34, V1 == V7, V7 == V11, V11 == V24, V24 == V27, V27 == V35, V2 == V37, V3 == V8, V8 == V12, V12 == V25, V25 == V29, V29 == V41; #496 ), references = 1, size of lhs = 13:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V1,V1), P_join-{F}(V3,V4,V1), P_r2-{F}(V5), P_meet-{F}(V5,V1,V5), P_meet-{F}(V4,V1,V6), P_join-{F}(V3,V6,V1) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #567: mergings( V25 == V34, V34 == V35, V35 == V36, V1 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V26, V26 == V27, V27 == V29, V4 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V36, V36 == V28, V28 == V30, V2 == V7, V7 == V10, V10 == V22, V22 == V24, V24 == V31, V3 == V33; #535 ), references = 1, size of lhs = 11:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V1,V1), P_join-{F}(V3,V4,V1), P_meet-{F}(V4,V1,V5), P_join-{F}(V3,V5,V1) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #603: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V28, V28 == V29, V29 == V31, V4 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V32, V31 == V7, V7 == V11, V11 == V14, V14 == V24, V24 == V26, V26 == V33; #571 ), references = 2, size of lhs = 6:
% 170.95/171.13 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0), P_a-{F}(V2), P_meet-{F}(V2,V2,V2) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #606: exists( #31, #604 ), references = 1, size of lhs = 4:
% 170.95/171.13 P_n0-{F}(V0), P_r1-{F}(V0), P_n1-{F}(V1), complement-{F}(V1,V0) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #642: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V21, V2 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V22, V3 == V4, V4 == V9, V9 == V15, V15 == V20, V20 == V23; #622 ), references = 1, size of lhs = 6:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #670: mergings( V6 == V9, V9 == V21, V21 == V24, V7 == V10, V10 == V22, V22 == V25, V1 == V11, V11 == V16, V16 == V26, V2 == V12, V12 == V17, V17 == V27, V3 == V13, V5 == V15, V4 == V14, V13 == V18, V15 == V20, V14 == V19, V18 == V28, V20 == V29, V19 == V27; #648 ), references = 2, size of lhs = 10:
% 170.95/171.13 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_join-{F}(V3,V5,V3), complement-{F}(V5,V6), P_meet-{F}(V4,V6,V4), P_meet-{F}(V3,V5,V7) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #692: exists( #26, #246 ), references = 2, size of lhs = 9:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #713: mergings( V4 == V8; #711 ), references = 1, size of lhs = 8:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), V3 == V5, P_join-{F}(V6,V1,V3) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #725: exists( #26, #214 ), references = 1, size of lhs = 10:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #728: exists( #25, #726 ), references = 3, size of lhs = 8:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #743: exists( #26, #255 ), references = 2, size of lhs = 10:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #757: mergings( V5 == V7, V6 == V8; #752 ), references = 1, size of lhs = 9:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_r2-{F}(V3), P_meet-{F}(V3,V1,V4), P_n0-{F}(V4), P_n1-{F}(V5), P_meet-{F}(V1,V5,V1) | P_join-{T}(V1,V2,V2)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #770: exists( #26, #768 ), references = 2, size of lhs = 8:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #811: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #803 ), references = 1, size of lhs = 7:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #876: mergings( V5 == V9, V3 == V6, V4 == V7; #871 ), references = 1, size of lhs = 7:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #880: mergings( V5 == V9, V3 == V6, V4 == V7; #872 ), references = 1, size of lhs = 7:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #902: mergings( V4 == V8; #900 ), references = 1, size of lhs = 8:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), V3 == V5, P_join-{F}(V6,V2,V3) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #928: mergings( V9 == V10, V3 == V6, V4 == V7; #923 ), references = 1, size of lhs = 9:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V1,V5,V6), P_meet-{F}(V3,V6,V7), P_meet-{F}(V0,V6,V8), V7 == V8 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #937: mergings( V3 == V7, V4 == V8; #934 ), references = 1, size of lhs = 6:
% 170.95/171.13 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,V1,V3)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #950: exists( #26, #692 ), references = 2, size of lhs = 7:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #981: mergings( V3 == V9, V4 == V10; #978 ), references = 2, size of lhs = 10:
% 170.95/171.13 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_n0-{F}(V6), P_n1-{F}(V7), complement-{F}(V1,V8), V8 == V5 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #985: mergings( V3 == V8, V4 == V9; #982 ), references = 2, size of lhs = 9:
% 170.95/171.13 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), complement-{F}(V1,V7), V7 == V4 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1002: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9; #997 ), references = 1, size of lhs = 9:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1021: mergings( V3 == V6, V4 == V7; #1018 ), references = 2, size of lhs = 8:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1087: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V18, V18 == V20, V4 == V8, V8 == V10, V10 == V12, V12 == V19, V19 == V21, V5 == V13; #1072 ), references = 2, size of lhs = 14:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1099: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V20, V5 == V14; #1073 ), references = 2, size of lhs = 19:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1111: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V19, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V20, V5 == V14; #1074 ), references = 2, size of lhs = 21:
% 170.95/171.13 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
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1123: mergings( V3 == V10, V4 == V5, V10 == V6; #1117 ), references = 1, size of lhs = 12:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n1-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_join-{F}(V1,V6,V1), P_join-{F}(V0,V1,V7), V7 == V5, P_join-{F}(V1,V0,V7) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1127: mergings( V3 == V10, V4 == V5, V10 == V6; #1118 ), references = 1, size of lhs = 17:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n1-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_join-{F}(V1,V6,V1), P_join-{F}(V1,V0,V7), P_join-{F}(V0,V1,V7), P_meet-{F}(V2,V8,V2), P_join-{F}(V9,V2,V2), P_meet-{F}(V7,V8,V10), V10 == V5, P_meet-{F}(V8,V3,V11), P_join-{F}(V9,V11,V3) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1131: mergings( V3 == V10, V4 == V5, V10 == V6; #1119 ), references = 1, size of lhs = 19:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n1-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_join-{F}(V1,V6,V1), P_join-{F}(V1,V0,V7), P_join-{F}(V0,V1,V7), P_join-{F}(V8,V2,V2), P_meet-{F}(V2,V9,V2), P_meet-{F}(V9,V3,V10), P_join-{F}(V8,V10,V3), P_meet-{F}(V11,V7,V12), P_meet-{F}(V13,V11,V9), P_meet-{F}(V13,V12,V14), V5 == V14 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1144: mergings( V3 == V10, V4 == V0, V10 == V6; #1138 ), references = 2, size of lhs = 9:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n1-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_join-{F}(V1,V6,V1) | P_join-{T}(V0,V1,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1150: mergings( V3 == V11, V4 == V5, V5 == V12, V6 == V0, V12 == V8; #1139 ), references = 1, size of lhs = 13:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V2,V3,V2), P_n1-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_join-{F}(V1,V6,V1), P_join-{F}(V7,V2,V2), P_meet-{F}(V3,V3,V8), P_join-{F}(V7,V8,V3) | P_join-{T}(V0,V1,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1156: mergings( V3 == V11, V4 == V5, V5 == V12, V6 == V0, V12 == V8; #1140 ), references = 1, size of lhs = 16:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n1-{F}(V3), P_a2-{F}(V4), P_b2-{F}(V5), P_n0-{F}(V6), P_join-{F}(V1,V6,V1), P_join-{F}(V7,V2,V2), P_meet-{F}(V0,V8,V0), P_meet-{F}(V1,V8,V1), P_meet-{F}(V8,V8,V9), P_meet-{F}(V2,V9,V2), P_meet-{F}(V9,V3,V10), P_join-{F}(V7,V10,V3) | P_join-{T}(V0,V1,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1201: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1194 ), references = 4, size of lhs = 10:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_meet-{F}(V4,V3,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V6,V7,V0), P_meet-{F}(V3,V7,V8), unique_complement-{F}(V8,V9), P_join-{F}(V2,V8,V10), P_join-{F}(V4,V10,V1) | P_join-{T}(V2,V4,V9)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1206: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1195 ), references = 1, size of lhs = 15:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V2), P_meet-{F}(V3,V4,V3), P_join-{F}(V3,V2,V5), P_meet-{F}(V6,V4,V7), P_join-{F}(V3,V7,V8), P_meet-{F}(V8,V9,V0), P_meet-{F}(V4,V9,V10), P_join-{F}(V6,V5,V11), P_meet-{F}(V1,V11,V12), P_join-{F}(V13,V12,V1), P_join-{F}(V13,V2,V14), P_meet-{F}(V14,V1,V10), unique_complement-{F}(V14,V15) | P_join-{T}(V3,V6,V15)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1211: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1196 ), references = 1, size of lhs = 18:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V2,V3), P_meet-{F}(V4,V3,V4), P_meet-{F}(V5,V2,V5), P_meet-{F}(V6,V2,V6), P_join-{F}(V6,V4,V7), P_join-{F}(V5,V7,V8), P_meet-{F}(V3,V8,V9), P_join-{F}(V10,V9,V1), P_join-{F}(V10,V4,V11), P_meet-{F}(V11,V3,V12), unique_complement-{F}(V11,V13), P_meet-{F}(V6,V14,V6), P_meet-{F}(V5,V14,V15), P_join-{F}(V6,V15,V16), P_meet-{F}(V16,V17,V0), P_meet-{F}(V14,V17,V12) | P_join-{T}(V6,V5,V13)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1237: mergings( V3 == V4, V4 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V5 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24; #1223 ), references = 2, size of lhs = 26:
% 170.95/171.13 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), complement-{F}(V3,V4), P_r2-{F}(V5), P_meet-{F}(V1,V2,V6), P_a2-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V7,V8,V4), P_n0-{F}(V9), P_n1-{F}(V10), P_meet-{F}(V11,V3,V11), P_meet-{F}(V12,V3,V12), P_join-{F}(V11,V9,V13), P_meet-{F}(V13,V14,V9), P_meet-{F}(V3,V14,V15), P_join-{F}(V11,V15,V3), unique_complement-{F}(V15,V16), P_meet-{F}(V12,V16,V9), P_join-{F}(V12,V9,V17), P_meet-{F}(V17,V18,V9), P_meet-{F}(V3,V18,V19), P_join-{F}(V12,V19,V3), unique_complement-{F}(V19,V20), P_meet-{F}(V16,V20,V21) | P_f-{T}(V3,V4,V21)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1296: mergings( V14 == V20, V20 == V28, V28 == V51, V3 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V23, V23 == V24, V24 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V37, V37 == V39, V39 == V41, V41 == V45, V45 == V47, V4 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V25, V25 == V33, V33 == V35, V35 == V38, V38 == V40, V40 == V42, V42 == V46, V46 == V48, V5 == V12, V12 == V18, V18 == V26, V26 == V49, V13 == V19, V19 == V27, V27 == V50, V15 == V21, V21 == V29, V29 == V52, V22 == V30, V30 == V53; #1253 ), references = 2, size of lhs = 16:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V0,V4), P_b-{F}(V5), P_meet-{F}(V4,V5,V0), P_join-{F}(V5,V0,V6), P_meet-{F}(V6,V3,V0), P_r2-{F}(V7), P_meet-{F}(V3,V5,V8), P_a2-{F}(V9), P_b2-{F}(V10), P_meet-{F}(V10,V9,V2), P_meet-{F}(V5,V10,V0), P_meet-{F}(V9,V10,V2) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1321: mergings( V3 == V5, V5 == V12, V4 == V6, V6 == V13; #1315 ), references = 1, size of lhs = 14:
% 170.95/171.13 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}(V7,V8,V7), P_meet-{F}(V8,V9,V1), P_join-{F}(V7,V1,V10), P_join-{F}(V11,V10,V6), P_meet-{F}(V11,V8,V12), P_join-{F}(V7,V12,V13), P_meet-{F}(V13,V9,V5) | P_join-{T}(V7,V11,V4)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1326: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V14; #1316 ), references = 1, size of lhs = 15:
% 170.95/171.13 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_n0-{F}(V6), P_n1-{F}(V7), P_meet-{F}(V8,V9,V8), P_meet-{F}(V9,V10,V1), P_join-{F}(V8,V1,V11), P_join-{F}(V12,V11,V7), P_meet-{F}(V12,V9,V13), P_join-{F}(V8,V13,V14), P_meet-{F}(V14,V10,V6) | P_join-{T}(V8,V12,V5)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1370: mergings( V29 == V34, V10 == V15, V15 == V16, V16 == V18, V18 == V23, V23 == V25, V25 == V27, V5 == V13, V13 == V17, V17 == V19, V19 == V24, V24 == V26, V26 == V28, V1 == V6, V6 == V11, V11 == V20, V20 == V34, V2 == V7, V7 == V30, V12 == V21, V21 == V31, V3 == V8, V8 == V28, V28 == V22, V22 == V32, V4 == V9, V9 == V14, V14 == V33; #1341 ), references = 1, size of lhs = 12:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V2,V3,V0), P_b-{F}(V4), P_join-{F}(V4,V0,V4), P_a2-{F}(V5) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1397: mergings( V26 == V30, V8 == V12, V12 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V24, V4 == V11, V11 == V14, V14 == V16, V16 == V21, V21 == V23, V23 == V25, V1 == V5, V5 == V9, V9 == V17, V17 == V30, V2 == V6, V6 == V27, V10 == V18, V18 == V28, V3 == V7, V7 == V25, V25 == V19, V19 == V29; #1371 ), references = 1, size of lhs = 11:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r2-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2), P_a-{F}(V3), P_join-{F}(V3,V0,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V2,V3,V0), P_b-{F}(V4), P_join-{F}(V4,V0,V4) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1425: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #1418 ), references = 1, size of lhs = 7:
% 170.95/171.13 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)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1465: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1455 ), references = 1, size of lhs = 22:
% 170.95/171.13 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_join-{F}(V3,V5,V3), complement-{F}(V5,V6), P_meet-{F}(V3,V5,V7), unique_complement-{F}(V8,V4), P_meet-{F}(V9,V8,V9), P_join-{F}(V9,V10,V1), P_join-{F}(V11,V9,V8), P_meet-{F}(V12,V10,V12), P_join-{F}(V9,V12,V13), P_join-{F}(V9,V11,V14), P_join-{F}(V15,V14,V1), P_meet-{F}(V15,V8,V16), P_join-{F}(V9,V16,V17), P_meet-{F}(V17,V10,V0), P_join-{F}(V15,V13,V18), P_meet-{F}(V10,V18,V6) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1474: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1456 ), references = 1, size of lhs = 24:
% 170.95/171.13 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-{F}(V5,V8), P_b2-{F}(V9), unique_complement-{F}(V10,V8), P_meet-{F}(V11,V10,V11), P_join-{F}(V11,V12,V1), P_join-{F}(V13,V11,V10), P_meet-{F}(V14,V12,V14), P_join-{F}(V11,V14,V15), P_join-{F}(V11,V13,V16), P_join-{F}(V17,V16,V1), P_meet-{F}(V17,V10,V18), P_join-{F}(V11,V18,V19), P_meet-{F}(V19,V12,V0), P_join-{F}(V17,V15,V20), P_meet-{F}(V12,V20,V9) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1525: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1518 ), references = 1, size of lhs = 21:
% 170.95/171.13 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-{F}(V5,V9), P_meet-{F}(V8,V10,V10), P_join-{F}(V11,V10,V1), unique_complement-{F}(V12,V9), P_meet-{F}(V11,V12,V11), P_join-{F}(V13,V11,V12), P_join-{F}(V11,V13,V14), P_join-{F}(V15,V14,V1), P_meet-{F}(V15,V12,V16), P_join-{F}(V11,V16,V17), P_meet-{F}(V17,V10,V0) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1585: mergings( V3 == V8, V8 == V10, V4 == V9, V9 == V11; #1580 ), references = 1, size of lhs = 12:
% 170.95/171.13 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}(V4,V7,V4), P_meet-{F}(V7,V6,V8), P_meet-{F}(V3,V7,V9), P_join-{F}(V4,V9,V10), V8 == V10 | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1597: mergings( V3 == V4, V4 == V8, V8 == V10, V5 == V9, V9 == V11; #1591 ), references = 1, size of lhs = 8:
% 170.95/171.13 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,V6) | P_meet-{T}(V1,V2,V6)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1627: exists( #26, #1625 ), references = 4, size of lhs = 8:
% 170.95/171.13 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}(V6,V7,V5), P_join-{F}(V7,V2,V8) | P_join-{T}(V6,V8,V4)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1685: mergings( V14 == V22, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V18, V18 == V25, V4 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V17, V17 == V19, V19 == V26, V5 == V12, V12 == V20, V13 == V21; #1667 ), references = 1, size of lhs = 18:
% 170.95/171.13 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}(V9,V4,V2), P_join-{F}(V1,V0,V10), P_meet-{F}(V4,V10,V4), P_join-{F}(V10,V6,V11), V11 == V10, P_meet-{F}(V10,V8,V12), P_join-{F}(V9,V12,V8), P_join-{F}(V1,V7,V13), P_meet-{F}(V13,V2,V4) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1710: mergings( V25 == V29, V3 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V17, V17 == V23, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V24, V5 == V12, V12 == V19, V13 == V20; #1692 ), references = 1, size of lhs = 15:
% 170.95/171.13 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_join-{F}(V1,V6,V1), P_n1-{F}(V7), P_join-{F}(V1,V0,V8), P_join-{F}(V8,V5,V9), V9 == V8, P_meet-{F}(V8,V7,V10), P_join-{F}(V2,V10,V7), P_join-{F}(V11,V1,V8) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1739: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V20, V20 == V27, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V19, V19 == V21, V21 == V28, V0 == V15, V15 == V22, V5 == V23, V16 == V24; #1718 ), references = 1, size of lhs = 12:
% 170.95/171.13 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_join-{F}(V1,V6,V1), P_join-{F}(V6,V2,V2), P_n1-{F}(V7), P_join-{F}(V1,V5,V8), P_join-{F}(V0,V8,V9) | P_join-{T}(V0,V1,V9)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1849: mergings( V19 == V22, V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #1841 ), references = 1, size of lhs = 16:
% 170.95/171.13 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}(V7,V4,V0), P_join-{F}(V7,V8,V1), P_join-{F}(V9,V6,V8), P_join-{F}(V9,V2,V10), unique_complement-{F}(V10,V11), P_meet-{F}(V4,V11,V12), P_meet-{F}(V7,V13,V0), P_meet-{F}(V13,V14,V10), P_join-{F}(V15,V3,V13), P_meet-{F}(V14,V3,V16), P_meet-{F}(V16,V4,V0) | P_meet-{T}(V3,V4,V12)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1882: mergings( V8 == V40, V3 == V14, V14 == V21, V21 == V23, V4 == V15, V15 == V22, V22 == V24, V5 == V25, V6 == V26, V7 == V27, V10 == V29, V9 == V28, V11 == V30, V12 == V31; #1867 ), references = 1, size of lhs = 33:
% 170.95/171.13 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,V6), P_meet-{F}(V7,V5,V7), P_join-{F}(V7,V0,V8), P_meet-{F}(V8,V9,V0), P_meet-{F}(V5,V9,V10), P_join-{F}(V7,V10,V5), unique_complement-{F}(V10,V11), P_r2-{F}(V12), P_meet-{F}(V3,V4,V13), P_a2-{F}(V14), P_b2-{F}(V15), P_meet-{F}(V14,V15,V6), P_meet-{F}(V7,V16,V0), P_meet-{F}(V16,V11,V6), unique_complement-{F}(V17,V16), P_meet-{F}(V5,V18,V17), P_meet-{F}(V18,V19,V20), P_meet-{F}(V19,V21,V21), P_meet-{F}(V21,V22,V22), P_meet-{F}(V23,V22,V23), P_join-{F}(V24,V23,V17), P_join-{F}(V25,V22,V5), P_meet-{F}(V20,V22,V26), P_meet-{F}(V26,V27,V0), P_join-{F}(V23,V27,V28), P_meet-{F}(V22,V28,V29), P_join-{F}(V24,V29,V5) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1919: mergings( V10 == V46, V3 == V5, V5 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V17, V17 == V19, V19 == V21, V7 == V22, V8 == V23, V9 == V24, V12 == V26, V11 == V25, V13 == V27, V14 == V28; #1902 ), references = 2, size of lhs = 39:
% 170.95/171.13 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,V6), P_r2-{F}(V7), P_meet-{F}(V3,V4,V8), P_a2-{F}(V9), P_b2-{F}(V10), P_meet-{F}(V9,V10,V6), P_meet-{F}(V5,V11,V12), unique_complement-{F}(V12,V13), P_join-{F}(V14,V12,V5), P_meet-{F}(V13,V15,V0), P_meet-{F}(V13,V16,V6), P_meet-{F}(V15,V17,V17), P_join-{F}(V18,V17,V5), P_meet-{F}(V19,V17,V19), P_join-{F}(V14,V19,V20), unique_complement-{F}(V20,V16), P_meet-{F}(V19,V20,V19), P_meet-{F}(V5,V21,V20), P_meet-{F}(V17,V22,V12), P_join-{F}(V19,V23,V22), P_meet-{F}(V24,V20,V20), P_meet-{F}(V25,V24,V24), P_meet-{F}(V11,V25,V26), P_meet-{F}(V26,V20,V27), P_meet-{F}(V27,V28,V0), P_join-{F}(V19,V28,V29), P_meet-{F}(V20,V29,V20), P_meet-{F}(V21,V30,V31), P_meet-{F}(V30,V32,V17), P_meet-{F}(V32,V23,V33), P_meet-{F}(V31,V34,V35), P_meet-{F}(V35,V36,V0), P_meet-{F}(V34,V36,V33) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1941: mergings( V18 == V21, V3 == V4, V4 == V6, V5 == V7; #1936 ), references = 1, size of lhs = 17:
% 170.95/171.13 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}(V7,V4,V0), P_meet-{F}(V8,V3,V7), P_join-{F}(V9,V6,V10), P_join-{F}(V11,V10,V1), P_join-{F}(V9,V2,V12), unique_complement-{F}(V12,V13), P_join-{F}(V4,V11,V14), P_join-{F}(V4,V13,V15), V14 == V15, P_meet-{F}(V11,V16,V0), P_meet-{F}(V16,V8,V12), P_join-{F}(V17,V3,V16) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #1948: mergings( V19 == V21, V3 == V4, V4 == V6, V5 == V7; #1943 ), references = 2, size of lhs = 15:
% 170.95/171.13 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}(V7,V4,V0), P_meet-{F}(V8,V3,V7), P_join-{F}(V9,V6,V10), P_join-{F}(V11,V10,V1), P_join-{F}(V9,V2,V12), unique_complement-{F}(V12,V13), P_join-{F}(V4,V13,V14), P_meet-{F}(V11,V15,V0), P_meet-{F}(V15,V8,V12), P_join-{F}(V16,V3,V15) | P_join-{T}(V11,V4,V14)
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2033: mergings( V27 == V19, V19 == V32, V32 == V47, V54 == V55, V3 == V5, V5 == V10, V10 == V13, V13 == V15, V15 == V20, V20 == V23, V23 == V28, V28 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V4 == V6, V6 == V12, V12 == V14, V14 == V16, V16 == V21, V21 == V22, V22 == V24, V24 == V29, V29 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V7 == V8, V8 == V17, V17 == V25, V25 == V30, V30 == V45, V9 == V0, V18 == V26, V26 == V31, V31 == V46, V33 == V48; #1992 ), references = 1, size of lhs = 41:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V2,V3,V4), P_b-{F}(V5), P_meet-{F}(V5,V1,V5), P_meet-{F}(V5,V3,V6), P_meet-{F}(V6,V3,V6), P_meet-{F}(V6,V5,V6), P_join-{F}(V5,V6,V5), P_meet-{F}(V3,V5,V6), P_r2-{F}(V7), P_a2-{F}(V8), P_b2-{F}(V9), P_meet-{F}(V8,V10,V0), P_meet-{F}(V10,V3,V3), P_join-{F}(V11,V8,V8), P_meet-{F}(V3,V11,V0), P_join-{F}(V3,V11,V1), P_join-{F}(V12,V6,V5), P_join-{F}(V3,V2,V13), P_meet-{F}(V6,V13,V6), P_meet-{F}(V13,V1,V14), P_meet-{F}(V3,V14,V3), P_join-{F}(V12,V14,V1), P_join-{F}(V2,V15,V13), P_meet-{F}(V15,V8,V16), P_join-{F}(V2,V16,V17), P_meet-{F}(V17,V13,V2), P_join-{F}(V5,V18,V5), P_meet-{F}(V19,V5,V5), P_meet-{F}(V20,V19,V19), P_meet-{F}(V3,V20,V21), P_meet-{F}(V21,V5,V6), P_meet-{F}(V5,V22,V23), P_meet-{F}(V23,V24,V0), P_meet-{F}(V22,V24,V9) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2083: mergings( V49 == V50, V48 == V57, V3 == V5, V5 == V10, V10 == V13, V13 == V15, V15 == V19, V19 == V22, V22 == V26, V26 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V4 == V6, V6 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V21, V21 == V23, V23 == V27, V27 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V7 == V8, V8 == V17, V17 == V24, V24 == V28, V28 == V42, V9 == V0, V18 == V25, V25 == V29, V29 == V43, V30 == V44; #2044 ), references = 1, size of lhs = 33:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V2,V3,V4), P_b-{F}(V5), P_meet-{F}(V5,V1,V5), P_r2-{F}(V6), P_a2-{F}(V7), P_b2-{F}(V8), P_meet-{F}(V7,V9,V0), P_meet-{F}(V9,V3,V3), P_join-{F}(V10,V7,V7), P_meet-{F}(V3,V10,V0), P_join-{F}(V3,V10,V1), P_join-{F}(V3,V2,V11), P_meet-{F}(V11,V1,V12), P_meet-{F}(V3,V12,V3), P_join-{F}(V5,V12,V1), P_join-{F}(V2,V13,V11), P_meet-{F}(V13,V7,V14), P_join-{F}(V2,V14,V15), P_meet-{F}(V15,V11,V2), P_join-{F}(V5,V16,V5), P_meet-{F}(V5,V17,V17), P_meet-{F}(V17,V5,V5), P_join-{F}(V18,V3,V11), P_meet-{F}(V5,V19,V20), P_meet-{F}(V20,V21,V0), P_meet-{F}(V19,V21,V8) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2132: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V22, V22 == V26, V26 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V21, V21 == V23, V23 == V27, V27 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V0 == V17, V17 == V24, V24 == V28, V28 == V42, V5 == V43, V18 == V25, V25 == V29, V29 == V44, V30 == V45; #2093 ), references = 1, size of lhs = 26:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_join-{F}(V0,V4,V4), P_r2-{F}(V5), P_a2-{F}(V6), P_b2-{F}(V7), P_meet-{F}(V6,V8,V0), P_meet-{F}(V8,V3,V3), P_join-{F}(V9,V6,V6), P_meet-{F}(V3,V9,V0), P_join-{F}(V3,V9,V1), P_meet-{F}(V3,V6,V10), P_join-{F}(V2,V10,V2), P_join-{F}(V4,V11,V4), P_meet-{F}(V4,V12,V12), P_meet-{F}(V12,V4,V4), P_meet-{F}(V4,V13,V14), P_meet-{F}(V14,V15,V0), P_meet-{F}(V13,V15,V7) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2183: mergings( V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V5 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V25, V25 == V27, V27 == V31, V31 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V1 == V14, V14 == V21, V21 == V28, V28 == V32, V32 == V46, V2 == V47, V8 == V48, V3 == V22, V22 == V29, V29 == V33, V33 == V49, V4 == V34, V34 == V50; #2139 ), references = 1, size of lhs = 22:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_join-{F}(V0,V4,V4), P_r2-{F}(V5), P_a2-{F}(V6), P_meet-{F}(V6,V7,V0), P_meet-{F}(V7,V3,V3), P_join-{F}(V8,V6,V6), P_meet-{F}(V3,V8,V0), P_join-{F}(V3,V8,V1), P_meet-{F}(V3,V6,V9), P_join-{F}(V2,V9,V2), P_join-{F}(V4,V10,V4), P_meet-{F}(V4,V11,V11), P_meet-{F}(V11,V4,V4) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2237: mergings( V8 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V33, V33 == V37, V37 == V42, V42 == V44, V44 == V47, V47 == V49, V4 == V12, V12 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V32, V32 == V34, V34 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V50, V1 == V5, V5 == V9, V9 == V21, V21 == V28, V28 == V35, V35 == V39, V39 == V51, V10 == V52, V2 == V6, V6 == V15, V15 == V53, V3 == V7, V7 == V11, V11 == V29, V29 == V36, V36 == V40, V40 == V54; #2188 ), references = 1, size of lhs = 16:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_join-{F}(V0,V4,V4), P_r2-{F}(V5), P_join-{F}(V4,V6,V4), P_meet-{F}(V4,V7,V7), P_meet-{F}(V7,V4,V4) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2281: mergings( V6 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V36, V36 == V38, V38 == V41, V41 == V43, V3 == V9, V9 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V1 == V4, V4 == V7, V7 == V18, V18 == V25, V25 == V31, V31 == V34, V34 == V45, V8 == V46, V2 == V5, V5 == V12, V12 == V47; #2238 ), references = 1, size of lhs = 15:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_join-{F}(V0,V4,V4), P_join-{F}(V4,V5,V4), P_meet-{F}(V4,V6,V6), P_meet-{F}(V6,V4,V4) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2328: mergings( V1 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V39, V39 == V41, V3 == V8, V8 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V2 == V4, V4 == V6, V6 == V16, V16 == V23, V23 == V29, V29 == V32, V32 == V43, V7 == V44; #2287 ), references = 1, size of lhs = 9:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2), P_a-{F}(V3), P_meet-{F}(V3,V1,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V3,V3) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2375: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V39, V39 == V41, V4 == V8, V8 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V3 == V5, V5 == V7, V7 == V16, V16 == V23, V23 == V29, V29 == V32, V32 == V43; #2334 ), references = 2, size of lhs = 4:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2378: exists( #30, #2376 ), references = 1, size of lhs = 2:
% 170.95/171.13 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2380: exists( #28, #2377 ), references = 1, size of lhs = 1:
% 170.95/171.13 P_n0-{F}(V0) | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 #2382: exists( #27, #2379 ), references = 1, size of lhs = 0:
% 170.95/171.13 FALSE | FALSE
% 170.95/171.13 (used 0 times, uses = {})
% 170.95/171.13
% 170.95/171.13 number of learnt formulas = 110
% 170.95/171.13
% 170.95/171.13
% 170.95/171.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.95/171.13
% 170.95/171.13 randbase = 1
%------------------------------------------------------------------------------