TSTP Solution File: LAT005-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT005-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:46 EDT 2022
% Result : Unsatisfiable 167.63s 167.80s
% Output : Refutation 167.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n003.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 20:34:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 167.63/167.80 GeoParameters:
% 167.63/167.80
% 167.63/167.80 tptp_input = 1
% 167.63/167.80 tptp_output = 0
% 167.63/167.80 nonempty = 1
% 167.63/167.80 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.63/167.80 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 167.63/167.80
% 167.63/167.80
% 167.63/167.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.63/167.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.63/167.80
% 167.63/167.80 RuleSystem INPUT:
% 167.63/167.80
% 167.63/167.80 Initial Rules:
% 167.63/167.80 #0: input, references = 4, size of lhs = 2:
% 167.63/167.80 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #1: input, references = 4, size of lhs = 2:
% 167.63/167.80 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #2: input, references = 5, size of lhs = 3:
% 167.63/167.80 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #3: input, references = 6, size of lhs = 3:
% 167.63/167.80 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #4: input, references = 4, size of lhs = 3:
% 167.63/167.80 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #5: input, references = 4, size of lhs = 3:
% 167.63/167.80 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #6: input, references = 6, size of lhs = 5:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #7: input, references = 5, size of lhs = 5:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #8: input, references = 4, size of lhs = 3:
% 167.63/167.80 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #9: input, references = 3, size of lhs = 3:
% 167.63/167.80 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #10: input, references = 4, size of lhs = 4:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #11: input, references = 3, size of lhs = 4:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #12: input, references = 7, size of lhs = 8:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #13: input, references = 6, size of lhs = 5:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V0 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #14: input, references = 8, size of lhs = 5:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #15: input, references = 3, size of lhs = 4:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V1) | complement-{T}(V2,V3)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #16: input, references = 18, size of lhs = 6:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #17: input, references = 12, size of lhs = 8:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #18: input, references = 6, size of lhs = 13:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V12), 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_meet-{F}(V6,V4,V8), P_join-{F}(V12,V8,V9), P_meet-{F}(V6,V3,V10), P_join-{F}(V12,V10,V11), P_meet-{F}(V9,V11,V12) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #19: input, references = 21, size of lhs = 2:
% 167.63/167.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #20: input, references = 27, size of lhs = 2:
% 167.63/167.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #21: input, references = 4, size of lhs = 0:
% 167.63/167.80 FALSE | EXISTS V0: P_n0-{T}(V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #22: input, references = 4, size of lhs = 0:
% 167.63/167.80 FALSE | EXISTS V0: P_n1-{T}(V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #23: input, references = 4, size of lhs = 0:
% 167.63/167.80 FALSE | EXISTS V0: P_r1-{T}(V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #24: input, references = 4, size of lhs = 0:
% 167.63/167.80 FALSE | EXISTS V0: P_a-{T}(V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #25: input, references = 6, size of lhs = 0:
% 167.63/167.80 FALSE | EXISTS V0: P_b-{T}(V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #26: input, references = 6, size of lhs = 0:
% 167.63/167.80 FALSE | EXISTS V0: P_r2-{T}(V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 number of initial rules = 27
% 167.63/167.80
% 167.63/167.80 Simplifiers:
% 167.63/167.80 #27: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #28: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #29: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #30: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #31: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #32: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #33: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #34: unsound, references = 3, size of lhs = 3:
% 167.63/167.80 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 number of simplifiers = 8
% 167.63/167.80
% 167.63/167.80 Learnt:
% 167.63/167.80 #36: exists( #19, #8 ), references = 7, size of lhs = 2:
% 167.63/167.80 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #38: exists( #19, #0 ), references = 9, size of lhs = 1:
% 167.63/167.80 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #40: exists( #19, #4 ), references = 53, size of lhs = 1:
% 167.63/167.80 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #43: exists( #20, #1 ), references = 1, size of lhs = 1:
% 167.63/167.80 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #44: exists( #20, #3 ), references = 13, size of lhs = 1:
% 167.63/167.80 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #46: exists( #20, #5 ), references = 21, size of lhs = 1:
% 167.63/167.80 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #56: mergings( V1 == V2, V2 == V4, V3 == V5; #52 ), references = 1, size of lhs = 4:
% 167.63/167.80 P_r1-{F}(V0), P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1) | P_b-{T}(V1)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #64: mergings( V1 == V2, V2 == V8, V3 == V9; #60 ), references = 1, size of lhs = 7:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #69: exists( #20, #18 ), references = 5, size of lhs = 12:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V4,V7), P_join-{F}(V2,V7,V8), P_meet-{F}(V5,V3,V9), P_join-{F}(V2,V9,V10), P_meet-{F}(V8,V10,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #71: exists( #19, #68 ), references = 7, size of lhs = 11:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V5,V3,V8), P_join-{F}(V2,V8,V9), P_meet-{F}(V7,V9,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #73: exists( #19, #10 ), references = 3, size of lhs = 3:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_meet-{T}(V2,V1,V2)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #82: exists( #19, #77 ), references = 2, size of lhs = 9:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_r2-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V2,V3,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V2,V6,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #83: exists( #19, #78 ), references = 1, size of lhs = 9:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V2), P_r2-{F}(V2), P_b-{F}(V3), P_meet-{F}(V2,V2,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V2,V5,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #88: mergings( V3 == V8, V4 == V9; #85 ), references = 3, size of lhs = 9:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #92: exists( #19, #90 ), references = 1, size of lhs = 7:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #108: exists( #19, #2 ), references = 29, size of lhs = 1:
% 167.63/167.80 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #109: exists( #19, #13 ), references = 16, size of lhs = 3:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_meet-{T}(V2,V3,V0)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #110: exists( #19, #12 ), references = 13, size of lhs = 6:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #123: mergings( V3 == V5, V4 == V6; #118 ), references = 1, size of lhs = 6:
% 167.63/167.80 P_r1-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_n0-{F}(V2), V2 == V0, P_n1-{F}(V3) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #127: mergings( V5 == V9, V3 == V6, V4 == V7; #120 ), references = 1, size of lhs = 7:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #133: mergings( V1 == V4, V2 == V5; #128 ), references = 1, size of lhs = 5:
% 167.63/167.80 P_r1-{F}(V0), P_a-{F}(V0), P_n0-{F}(V1), V1 == V0, P_n1-{F}(V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #137: mergings( V3 == V8, V1 == V5, V2 == V6; #130 ), references = 1, size of lhs = 6:
% 167.63/167.80 P_r1-{F}(V0), P_a-{F}(V1), P_n0-{F}(V2), V2 == V0, P_n1-{F}(V3), P_meet-{F}(V4,V1,V0) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #139: exists( #20, #14 ), references = 2, size of lhs = 3:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #157: exists( #19, #155 ), references = 1, size of lhs = 7:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #165: exists( #20, #158 ), references = 3, size of lhs = 9:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V2), P_meet-{F}(V5,V3,V7) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #188: mergings( V3 == V5, V4 == V6; #184 ), references = 1, size of lhs = 6:
% 167.63/167.80 P_r1-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_n0-{F}(V2), V0 == V2, P_n1-{F}(V3) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #192: mergings( V3 == V5, V4 == V6, V0 == V5; #185 ), references = 1, size of lhs = 5:
% 167.63/167.80 P_r1-{F}(V0), P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_n1-{F}(V2) | P_join-{T}(V0,V1,V2)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #210: mergings( V1 == V8, V8 == V10, V2 == V9, V9 == V11, V3 == V12, V4 == V7, V5 == V7; #200 ), references = 1, size of lhs = 8:
% 167.63/167.80 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V0), P_join-{F}(V0,V0,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_join-{F}(V4,V2,V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #219: mergings( V13 == V14, V1 == V8, V8 == V10, V2 == V9, V9 == V11, V3 == V12, V4 == V7, V5 == V7; #201 ), references = 1, size of lhs = 9:
% 167.63/167.80 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V0), P_join-{F}(V0,V0,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_join-{F}(V4,V2,V5), P_meet-{F}(V5,V5,V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #229: mergings( V14 == V15, V1 == V8, V8 == V10, V2 == V9, V9 == V11, V3 == V12, V4 == V7, V5 == V7, V7 == V13; #202 ), references = 1, size of lhs = 9:
% 167.63/167.80 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_join-{F}(V4,V2,V5), P_meet-{F}(V5,V5,V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #233: exists( #19, #231 ), references = 1, size of lhs = 7:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_r2-{F}(V2), P_meet-{F}(V2,V2,V2), P_a-{F}(V3), P_b-{F}(V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #240: exists( #20, #238 ), references = 1, size of lhs = 9:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_meet-{F}(V5,V3,V7), P_join-{F}(V2,V7,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #261: exists( #19, #6 ), references = 33, size of lhs = 3:
% 167.63/167.80 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #277: mergings( V3 == V6, V4 == V7; #273 ), references = 1, size of lhs = 8:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #281: mergings( V3 == V6, V4 == V7; #278 ), references = 1, size of lhs = 6:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #299: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #292 ), references = 1, size of lhs = 7:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #342: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #335 ), references = 1, size of lhs = 7:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #355: mergings( V3 == V6, V4 == V7; #352 ), references = 1, size of lhs = 8:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #412: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V5 == V14; #402 ), references = 2, size of lhs = 17:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V4,V7), P_join-{F}(V2,V7,V8), P_meet-{F}(V5,V3,V9), P_join-{F}(V2,V9,V10), P_join-{F}(V3,V2,V10), P_meet-{F}(V11,V10,V11), P_join-{F}(V11,V4,V8), P_join-{F}(V3,V0,V12), P_meet-{F}(V12,V4,V13), P_join-{F}(V11,V13,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #424: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V5 == V14, V0 == V15, V1 == V16; #400 ), references = 2, size of lhs = 16:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V5,V3,V8), P_join-{F}(V2,V8,V9), P_join-{F}(V3,V2,V9), P_meet-{F}(V10,V9,V10), P_join-{F}(V10,V4,V7), P_join-{F}(V3,V0,V11), P_meet-{F}(V11,V4,V12), P_join-{F}(V10,V12,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #436: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V5 == V14, V0 == V15, V1 == V16; #401 ), references = 2, size of lhs = 17:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V4,V7), P_join-{F}(V2,V7,V8), P_meet-{F}(V5,V3,V9), P_join-{F}(V2,V9,V10), P_join-{F}(V3,V2,V10), P_meet-{F}(V11,V10,V11), P_join-{F}(V11,V4,V8), P_join-{F}(V3,V0,V12), P_meet-{F}(V12,V4,V13), P_join-{F}(V11,V13,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #451: mergings( V3 == V8, V4 == V9; #448 ), references = 2, size of lhs = 9:
% 167.63/167.80 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
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #457: mergings( V3 == V7, V4 == V8; #454 ), references = 1, size of lhs = 8:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #461: exists( #20, #424 ), references = 1, size of lhs = 14:
% 167.63/167.80 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_meet-{F}(V5,V4,V4), P_meet-{F}(V5,V3,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V3,V2,V7), P_meet-{F}(V2,V7,V2), P_join-{F}(V3,V0,V8), P_meet-{F}(V8,V4,V9), P_join-{F}(V2,V9,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #462: exists( #20, #412 ), references = 1, size of lhs = 15:
% 167.63/167.80 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_meet-{F}(V5,V4,V4), P_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V3,V7), P_join-{F}(V2,V7,V8), P_join-{F}(V3,V2,V8), P_meet-{F}(V2,V8,V2), P_join-{F}(V3,V0,V9), P_meet-{F}(V9,V4,V10), P_join-{F}(V2,V10,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #463: exists( #20, #436 ), references = 1, size of lhs = 15:
% 167.63/167.80 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_meet-{F}(V5,V4,V4), P_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V3,V7), P_join-{F}(V2,V7,V8), P_join-{F}(V3,V2,V8), P_meet-{F}(V2,V8,V2), P_join-{F}(V3,V0,V9), P_meet-{F}(V9,V4,V10), P_join-{F}(V2,V10,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #473: exists( #20, #467 ), references = 1, size of lhs = 11:
% 167.63/167.80 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_meet-{F}(V5,V4,V4), P_meet-{F}(V5,V3,V3), P_join-{F}(V3,V0,V6), P_meet-{F}(V6,V4,V7), P_join-{F}(V2,V7,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #474: exists( #20, #468 ), references = 1, size of lhs = 12:
% 167.63/167.80 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_meet-{F}(V5,V4,V4), P_meet-{F}(V5,V3,V3), P_meet-{F}(V3,V4,V6), P_join-{F}(V3,V0,V7), P_meet-{F}(V7,V4,V8), P_join-{F}(V2,V8,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #475: exists( #20, #469 ), references = 1, size of lhs = 12:
% 167.63/167.80 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_meet-{F}(V5,V4,V4), P_meet-{F}(V5,V3,V3), P_meet-{F}(V3,V4,V6), P_join-{F}(V3,V0,V7), P_meet-{F}(V7,V4,V8), P_join-{F}(V2,V8,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #481: exists( #20, #12 ), references = 1, size of lhs = 6:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #484: exists( #19, #482 ), references = 1, size of lhs = 8:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #512: exists( #19, #510 ), references = 1, size of lhs = 8:
% 167.63/167.80 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)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #541: exists( #20, #7 ), references = 1, size of lhs = 3:
% 167.63/167.80 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #560: mergings( V3 == V5, V4 == V6; #555 ), references = 1, size of lhs = 14:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_meet-{F}(V5,V3,V7), P_join-{F}(V2,V7,V8), P_meet-{F}(V2,V9,V2), P_meet-{F}(V6,V9,V10), P_join-{F}(V2,V10,V11), P_meet-{F}(V11,V12,V2), P_meet-{F}(V9,V12,V8) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #563: mergings( V3 == V5, V4 == V6; #556 ), references = 1, size of lhs = 15:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V4,V7), P_meet-{F}(V5,V3,V8), P_join-{F}(V2,V8,V9), P_meet-{F}(V2,V10,V2), P_meet-{F}(V7,V10,V11), P_join-{F}(V2,V11,V12), P_meet-{F}(V12,V13,V2), P_meet-{F}(V10,V13,V9) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #566: mergings( V3 == V5, V4 == V6; #557 ), references = 1, size of lhs = 16:
% 167.63/167.80 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_meet-{F}(V6,V4,V8), P_meet-{F}(V6,V3,V9), P_join-{F}(V2,V9,V10), P_meet-{F}(V2,V11,V2), P_meet-{F}(V8,V11,V12), P_join-{F}(V2,V12,V13), P_meet-{F}(V13,V14,V2), P_meet-{F}(V11,V14,V10) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #598: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #591 ), references = 1, size of lhs = 16:
% 167.63/167.80 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_meet-{F}(V5,V4,V6), P_meet-{F}(V5,V3,V7), P_meet-{F}(V7,V8,V7), P_meet-{F}(V2,V8,V9), P_join-{F}(V7,V9,V10), P_join-{F}(V2,V11,V2), P_meet-{F}(V10,V12,V13), P_meet-{F}(V8,V12,V14), P_meet-{F}(V13,V15,V11), P_meet-{F}(V14,V15,V6) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #603: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #592 ), references = 1, size of lhs = 17:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V4,V7), P_meet-{F}(V5,V3,V8), P_meet-{F}(V8,V9,V8), P_meet-{F}(V2,V9,V10), P_join-{F}(V8,V10,V11), P_join-{F}(V2,V12,V2), P_meet-{F}(V11,V13,V14), P_meet-{F}(V9,V13,V15), P_meet-{F}(V14,V16,V12), P_meet-{F}(V15,V16,V7) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #608: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #593 ), references = 1, size of lhs = 18:
% 167.63/167.80 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_meet-{F}(V6,V4,V8), P_meet-{F}(V6,V3,V9), P_meet-{F}(V9,V10,V9), P_meet-{F}(V2,V10,V11), P_join-{F}(V9,V11,V12), P_join-{F}(V2,V13,V2), P_meet-{F}(V12,V14,V15), P_meet-{F}(V10,V14,V16), P_meet-{F}(V15,V17,V13), P_meet-{F}(V16,V17,V8) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #625: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #618 ), references = 1, size of lhs = 16:
% 167.63/167.80 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_meet-{F}(V5,V3,V6), P_meet-{F}(V6,V7,V6), P_meet-{F}(V2,V7,V8), P_join-{F}(V6,V8,V9), P_join-{F}(V2,V10,V2), P_meet-{F}(V11,V4,V10), P_meet-{F}(V12,V5,V11), P_meet-{F}(V9,V13,V12), P_meet-{F}(V7,V13,V14), P_meet-{F}(V14,V4,V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #630: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #619 ), references = 1, size of lhs = 17:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V5,V3,V7), P_meet-{F}(V7,V8,V7), P_meet-{F}(V2,V8,V9), P_join-{F}(V7,V9,V10), P_join-{F}(V2,V11,V2), P_meet-{F}(V12,V4,V11), P_meet-{F}(V13,V5,V12), P_meet-{F}(V10,V14,V13), P_meet-{F}(V8,V14,V15), P_meet-{F}(V15,V4,V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #635: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #620 ), references = 1, size of lhs = 18:
% 167.63/167.80 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_meet-{F}(V6,V3,V8), P_meet-{F}(V8,V9,V8), P_meet-{F}(V2,V9,V10), P_join-{F}(V8,V10,V11), P_join-{F}(V2,V12,V2), P_meet-{F}(V13,V4,V12), P_meet-{F}(V14,V6,V13), P_meet-{F}(V11,V15,V14), P_meet-{F}(V9,V15,V16), P_meet-{F}(V16,V4,V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #677: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #669 ), references = 1, size of lhs = 14:
% 167.63/167.80 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_meet-{F}(V2,V6,V0), P_meet-{F}(V6,V6,V7), P_meet-{F}(V7,V4,V4), P_meet-{F}(V6,V8,V8), P_meet-{F}(V8,V3,V3), P_meet-{F}(V4,V3,V9), P_meet-{F}(V9,V5,V10), P_join-{F}(V2,V10,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #683: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #670 ), references = 1, size of lhs = 15:
% 167.63/167.80 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_meet-{F}(V3,V4,V6), P_meet-{F}(V2,V7,V0), P_meet-{F}(V7,V7,V8), P_meet-{F}(V8,V4,V4), P_meet-{F}(V7,V9,V9), P_meet-{F}(V9,V3,V3), P_meet-{F}(V4,V3,V10), P_meet-{F}(V10,V5,V11), P_join-{F}(V2,V11,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #689: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #671 ), references = 1, size of lhs = 16:
% 167.63/167.80 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_meet-{F}(V2,V8,V0), P_meet-{F}(V8,V8,V9), P_meet-{F}(V9,V4,V4), P_meet-{F}(V8,V10,V10), P_meet-{F}(V10,V3,V3), P_meet-{F}(V4,V3,V11), P_meet-{F}(V11,V6,V12), P_join-{F}(V2,V12,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #740: mergings( V3 == V6, V6 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V4 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V18, V8 == V19, V0 == V20; #723 ), references = 1, size of lhs = 10:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V4,V3,V5), P_r2-{F}(V6) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #755: mergings( V9 == V21, V3 == V6, V6 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V4 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V18, V8 == V19; #725 ), references = 1, size of lhs = 10:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4), P_meet-{F}(V4,V3,V5), P_meet-{F}(V3,V4,V5), P_r2-{F}(V6) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #771: mergings( V3 == V6, V6 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V4 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V18, V8 == V19, V0 == V20, V9 == V22; #724 ), references = 1, size of lhs = 10:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4), P_meet-{F}(V4,V3,V5), P_meet-{F}(V3,V4,V5), P_r2-{F}(V6) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #791: mergings( V3 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V4 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V8 == V18; #775 ), references = 1, size of lhs = 8:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4), P_r2-{F}(V5) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #805: mergings( V3 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V4 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V8 == V18; #776 ), references = 1, size of lhs = 8:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4), P_r2-{F}(V5) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #819: mergings( V3 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V4 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V8 == V18; #777 ), references = 1, size of lhs = 8:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4), P_r2-{F}(V5) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #836: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V2 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V6 == V16; #820 ), references = 1, size of lhs = 7:
% 167.63/167.80 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,V3,V3), P_b-{F}(V4) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #853: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V2 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V6 == V16; #837 ), references = 1, size of lhs = 6:
% 167.63/167.80 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,V3,V3) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #873: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V2 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V6 == V16; #857 ), references = 2, size of lhs = 4:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_join-{F}(V2,V0,V2) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #877: exists( #23, #875 ), references = 1, size of lhs = 2:
% 167.63/167.80 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #879: exists( #22, #876 ), references = 1, size of lhs = 1:
% 167.63/167.80 P_n0-{F}(V0) | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 #881: exists( #21, #878 ), references = 1, size of lhs = 0:
% 167.63/167.80 FALSE | FALSE
% 167.63/167.80 (used 0 times, uses = {})
% 167.63/167.80
% 167.63/167.80 number of learnt formulas = 77
% 167.63/167.80
% 167.63/167.80
% 167.63/167.80 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.63/167.80
% 167.63/167.80 randbase = 1
%------------------------------------------------------------------------------