TSTP Solution File: LAT001-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 27.33s 27.53s
% Output : Refutation 27.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 20:20:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.33/27.53 GeoParameters:
% 27.33/27.53
% 27.33/27.53 tptp_input = 1
% 27.33/27.53 tptp_output = 0
% 27.33/27.53 nonempty = 1
% 27.33/27.53 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.33/27.53 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.33/27.53
% 27.33/27.53
% 27.33/27.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.33/27.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.33/27.53
% 27.33/27.53 RuleSystem INPUT:
% 27.33/27.53
% 27.33/27.53 Initial Rules:
% 27.33/27.53 #0: input, references = 4, size of lhs = 2:
% 27.33/27.53 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1: input, references = 4, size of lhs = 2:
% 27.33/27.53 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #2: input, references = 4, size of lhs = 3:
% 27.33/27.53 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #3: input, references = 6, size of lhs = 3:
% 27.33/27.53 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #4: input, references = 4, size of lhs = 3:
% 27.33/27.53 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #5: input, references = 4, size of lhs = 3:
% 27.33/27.53 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #6: input, references = 5, size of lhs = 5:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #7: input, references = 6, size of lhs = 5:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #8: input, references = 4, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #9: input, references = 3, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #10: input, references = 4, size of lhs = 4:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #11: input, references = 3, size of lhs = 4:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #12: input, references = 8, size of lhs = 8:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #13: input, references = 6, size of lhs = 5:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V0 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #14: input, references = 11, size of lhs = 5:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #15: input, references = 11, size of lhs = 4:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V1) | complement-{T}(V2,V3)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #16: input, references = 19, size of lhs = 6:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #17: input, references = 16, size of lhs = 8:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #18: input, references = 11, size of lhs = 11:
% 27.33/27.53 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_join-{F}(V2,V8,V9), complement-{F}(V3,V9) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #19: input, references = 23, size of lhs = 2:
% 27.33/27.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #20: input, references = 24, size of lhs = 2:
% 27.33/27.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #21: input, references = 4, size of lhs = 0:
% 27.33/27.53 FALSE | EXISTS V0: P_n0-{T}(V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #22: input, references = 4, size of lhs = 0:
% 27.33/27.53 FALSE | EXISTS V0: P_n1-{T}(V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #23: input, references = 4, size of lhs = 0:
% 27.33/27.53 FALSE | EXISTS V0: P_r1-{T}(V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #24: input, references = 5, size of lhs = 0:
% 27.33/27.53 FALSE | EXISTS V0: P_a-{T}(V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #25: input, references = 8, size of lhs = 0:
% 27.33/27.53 FALSE | EXISTS V0: P_b-{T}(V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #26: input, references = 8, size of lhs = 0:
% 27.33/27.53 FALSE | EXISTS V0: P_r2-{T}(V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 number of initial rules = 27
% 27.33/27.53
% 27.33/27.53 Simplifiers:
% 27.33/27.53 #27: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #28: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #29: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #30: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #31: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #32: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #33: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #34: unsound, references = 3, size of lhs = 3:
% 27.33/27.53 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 number of simplifiers = 8
% 27.33/27.53
% 27.33/27.53 Learnt:
% 27.33/27.53 #36: exists( #19, #8 ), references = 16, size of lhs = 2:
% 27.33/27.53 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #38: exists( #19, #0 ), references = 2, size of lhs = 1:
% 27.33/27.53 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #40: exists( #19, #4 ), references = 63, size of lhs = 1:
% 27.33/27.53 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #43: exists( #20, #1 ), references = 1, size of lhs = 1:
% 27.33/27.53 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #44: exists( #20, #3 ), references = 35, size of lhs = 1:
% 27.33/27.53 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #46: exists( #20, #5 ), references = 60, size of lhs = 1:
% 27.33/27.53 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #56: mergings( V1 == V2, V2 == V4, V3 == V5; #52 ), references = 1, size of lhs = 4:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1) | P_b-{T}(V1)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #66: mergings( V1 == V2, V2 == V8, V3 == V9; #62 ), references = 2, size of lhs = 7:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #70: exists( #19, #10 ), references = 10, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_meet-{T}(V2,V1,V2)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #77: exists( #20, #73 ), references = 16, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_join-{T}(V3,V2,V1)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #80: exists( #19, #78 ), references = 14, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_meet-{T}(V3,V2,V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #104: mergings( V1 == V2, V2 == V4, V4 == V11, V11 == V13, V13 == V15, V3 == V5, V5 == V12, V12 == V14, V14 == V16, V15 == V6, V7 == V10, V16 == V8, V10 == V18, V9 == V17; #89 ), references = 1, size of lhs = 7:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_b-{F}(V1), P_n1-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V1,V2), P_join-{F}(V2,V1,V3) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #123: mergings( V3 == V4, V4 == V6, V5 == V7; #117 ), references = 1, size of lhs = 5:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #127: mergings( V3 == V4, V4 == V7, V5 == V8; #119 ), references = 1, size of lhs = 7:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_join-{F}(V0,V5,V3), P_join-{F}(V4,V5,V6) | P_join-{T}(V1,V2,V6)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #138: mergings( V3 == V4, V4 == V8, V5 == V9; #134 ), references = 3, size of lhs = 7:
% 27.33/27.53 P_r2-{F}(V0), P_n0-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V4), P_n1-{F}(V5) | P_meet-{T}(V2,V3,V5)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #154: mergings( V3 == V7, V4 == V8; #150 ), references = 2, size of lhs = 8:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_r2-{F}(V1), P_b-{F}(V2), P_join-{F}(V1,V2,V3), P_n0-{F}(V4), P_n1-{F}(V5), V1 == V5 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #160: mergings( V7 == V10, V3 == V4, V4 == V8, V5 == V9, V8 == V6; #151 ), references = 1, size of lhs = 7:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_r2-{F}(V1), P_n1-{F}(V2), P_b-{F}(V3), P_join-{F}(V1,V3,V4) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #169: mergings( V3 == V7, V4 == V8; #166 ), references = 2, size of lhs = 8:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V2), P_join-{F}(V1,V2,V3), P_n0-{F}(V4), P_n1-{F}(V5), V2 == V5 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #174: exists( #20, #7 ), references = 24, size of lhs = 3:
% 27.33/27.53 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #177: exists( #19, #6 ), references = 21, size of lhs = 3:
% 27.33/27.53 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #181: exists( #20, #12 ), references = 8, size of lhs = 6:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #197: mergings( V12 == V17, V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #190 ), references = 1, size of lhs = 14:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V4), P_r2-{F}(V5), P_meet-{F}(V6,V3,V6), P_join-{F}(V6,V5,V7), P_meet-{F}(V3,V7,V8), P_join-{F}(V9,V6,V2), P_join-{F}(V9,V8,V1), P_meet-{F}(V2,V3,V10), P_meet-{F}(V10,V5,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #218: mergings( V6 == V17, V3 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V4 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V5 == V15; #205 ), references = 1, size of lhs = 10:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V2,V3,V4), P_r2-{F}(V5), P_meet-{F}(V3,V1,V6), P_join-{F}(V2,V6,V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #232: mergings( V16 == V17, V1 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V2 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V3 == V12; #219 ), references = 1, size of lhs = 9:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V2,V3,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V2,V5,V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #253: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V17, V4 == V7, V7 == V10, V10 == V11, V11 == V14, V14 == V16, V16 == V18, V8 == V17; #236 ), references = 1, size of lhs = 4:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #271: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V17, V4 == V7, V7 == V10, V10 == V11, V11 == V14, V14 == V16, V16 == V18, V8 == V17; #254 ), references = 1, size of lhs = 3:
% 27.33/27.53 P_r1-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #282: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #277 ), references = 1, size of lhs = 6:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #305: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V9, V3 == V6, V6 == V8, V8 == V10, V4 == V11; #296 ), references = 1, size of lhs = 5:
% 27.33/27.53 P_a-{F}(V0), P_n0-{F}(V0), complement-{F}(V0,V1), P_n1-{F}(V1), P_r1-{F}(V2) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #321: exists( #20, #317 ), references = 1, size of lhs = 8:
% 27.33/27.53 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_join-{F}(V2,V4,V5), V5 == V2 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #322: exists( #20, #318 ), references = 1, size of lhs = 9:
% 27.33/27.53 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-{F}(V5,V2,V2), P_meet-{F}(V5,V4,V6), V4 == V6 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #327: exists( #20, #323 ), references = 1, size of lhs = 7:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #332: exists( #20, #328 ), references = 1, size of lhs = 7:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #342: mergings( V3 == V8, V4 == V9; #339 ), references = 3, size of lhs = 9:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #366: mergings( V3 == V6, V4 == V7; #363 ), references = 1, size of lhs = 6:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V2,V0,V2), P_n0-{F}(V3), P_n1-{F}(V4) | P_join-{T}(V2,V1,V4)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #384: mergings( V1 == V8, V8 == V10, V2 == V9, V9 == V11, V3 == V12, V4 == V13, V5 == V7, V7 == V15, V6 == V14; #374 ), references = 1, size of lhs = 9:
% 27.33/27.53 P_b-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_meet-{F}(V4,V0,V0), P_join-{F}(V4,V0,V5), P_join-{F}(V3,V1,V6), complement-{F}(V4,V6) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #393: exists( #20, #18 ), references = 4, size of lhs = 10:
% 27.33/27.53 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), complement-{F}(V3,V8) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #397: exists( #19, #393 ), references = 3, size of lhs = 9:
% 27.33/27.53 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), complement-{F}(V3,V7) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #406: mergings( V3 == V8, V4 == V9; #403 ), references = 1, size of lhs = 9:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #414: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #409 ), references = 1, size of lhs = 6:
% 27.33/27.53 P_r2-{F}(V0), P_n1-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_n0-{F}(V4) | P_meet-{T}(V2,V3,V4)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #421: exists( #19, #2 ), references = 18, size of lhs = 1:
% 27.33/27.53 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #437: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #430 ), references = 1, size of lhs = 8:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_join-{F}(V5,V0,V4), P_join-{F}(V1,V5,V1), P_join-{F}(V5,V3,V6) | P_join-{T}(V1,V2,V6)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #458: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #451 ), references = 1, size of lhs = 7:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #478: mergings( V3 == V6, V4 == V7; #474 ), references = 2, size of lhs = 8:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_join-{F}(V2,V0,V5), P_join-{F}(V1,V5,V6), V4 == V6 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #485: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #475 ), references = 2, size of lhs = 10:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V4,V4,V5), P_meet-{F}(V0,V4,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V1,V7,V8), V5 == V8 | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #494: exists( #19, #12 ), references = 7, size of lhs = 6:
% 27.33/27.53 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)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #557: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V15, V1 == V16; #543 ), references = 1, size of lhs = 12:
% 27.33/27.53 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_join-{F}(V2,V4,V7), P_join-{F}(V4,V2,V7), P_join-{F}(V4,V0,V8), P_meet-{F}(V8,V3,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #568: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V15; #545 ), references = 1, size of lhs = 13:
% 27.33/27.53 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_join-{F}(V2,V4,V8), P_join-{F}(V4,V2,V8), P_join-{F}(V4,V0,V9), P_meet-{F}(V9,V3,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #580: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V15, V1 == V16; #544 ), references = 1, size of lhs = 13:
% 27.33/27.53 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_join-{F}(V2,V4,V8), P_join-{F}(V4,V2,V8), P_join-{F}(V4,V0,V9), P_meet-{F}(V9,V3,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #597: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V15; #584 ), references = 1, size of lhs = 9:
% 27.33/27.53 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_join-{F}(V4,V0,V6), P_meet-{F}(V6,V3,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #607: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13; #585 ), references = 1, size of lhs = 10:
% 27.33/27.53 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_join-{F}(V4,V0,V7), P_meet-{F}(V7,V3,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #618: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V15; #586 ), references = 1, size of lhs = 10:
% 27.33/27.53 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_join-{F}(V4,V0,V7), P_meet-{F}(V7,V3,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #661: exists( #20, #657 ), references = 1, size of lhs = 6:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_join-{F}(V0,V1,V0), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4) | P_join-{T}(V0,V2,V4)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #662: exists( #20, #658 ), references = 1, size of lhs = 8:
% 27.33/27.53 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V4,V4,V5), P_meet-{F}(V0,V4,V6), P_join-{F}(V6,V1,V6) | P_join-{T}(V6,V2,V5)
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #706: mergings( V4 == V8; #704 ), references = 1, size of lhs = 8:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #738: mergings( V4 == V8; #736 ), references = 1, size of lhs = 8:
% 27.33/27.53 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
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #783: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #776 ), references = 2, size of lhs = 15:
% 27.33/27.53 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}(V6,V7,V6), P_join-{F}(V6,V3,V8), P_meet-{F}(V2,V7,V9), P_join-{F}(V6,V9,V10), P_meet-{F}(V10,V11,V0), P_meet-{F}(V7,V11,V3), P_join-{F}(V6,V8,V12), P_join-{F}(V2,V12,V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #788: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #777 ), references = 2, size of lhs = 16:
% 27.33/27.53 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}(V7,V8,V7), P_join-{F}(V7,V3,V9), P_meet-{F}(V2,V8,V10), P_join-{F}(V7,V10,V11), P_meet-{F}(V11,V12,V0), P_meet-{F}(V8,V12,V3), P_join-{F}(V7,V9,V13), P_join-{F}(V2,V13,V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #793: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #778 ), references = 2, size of lhs = 17:
% 27.33/27.53 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}(V8,V9,V8), P_join-{F}(V8,V3,V10), P_meet-{F}(V2,V9,V11), P_join-{F}(V8,V11,V12), P_meet-{F}(V12,V13,V0), P_meet-{F}(V9,V13,V3), P_join-{F}(V8,V10,V14), P_join-{F}(V2,V14,V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #837: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #827 ), references = 1, size of lhs = 15:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V3), P_join-{F}(V2,V4,V1), P_r2-{F}(V5), P_meet-{F}(V2,V6,V0), P_meet-{F}(V6,V4,V4), P_join-{F}(V3,V5,V7), P_meet-{F}(V4,V7,V4), P_meet-{F}(V6,V8,V3), P_meet-{F}(V8,V4,V9), P_meet-{F}(V9,V5,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #846: mergings( V13 == V14, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #828 ), references = 1, size of lhs = 15:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V2,V4,V1), P_meet-{F}(V3,V4,V3), P_r2-{F}(V5), P_meet-{F}(V2,V6,V0), P_meet-{F}(V6,V4,V4), P_join-{F}(V3,V5,V7), P_meet-{F}(V4,V7,V4), P_meet-{F}(V6,V8,V3), P_meet-{F}(V8,V4,V9), P_meet-{F}(V9,V5,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #855: mergings( V13 == V15, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #829 ), references = 1, size of lhs = 16:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V2,V4,V1), P_meet-{F}(V3,V4,V3), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V2,V7,V0), P_meet-{F}(V7,V4,V4), P_join-{F}(V3,V6,V8), P_meet-{F}(V4,V8,V4), P_meet-{F}(V7,V9,V3), P_meet-{F}(V9,V4,V10), P_meet-{F}(V10,V6,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #930: mergings( V16 == V17, V3 == V4, V4 == V6, V5 == V7; #923 ), references = 1, size of lhs = 18:
% 27.33/27.53 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,V4,V4), P_meet-{F}(V6,V7,V3), P_meet-{F}(V8,V4,V8), P_join-{F}(V8,V5,V9), P_meet-{F}(V4,V9,V10), P_join-{F}(V11,V8,V3), P_join-{F}(V11,V10,V12), P_join-{F}(V2,V12,V1), P_join-{F}(V13,V4,V12), P_meet-{F}(V7,V4,V14), P_meet-{F}(V14,V5,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #935: mergings( V17 == V18, V3 == V4, V4 == V6, V5 == V7; #924 ), references = 1, size of lhs = 19:
% 27.33/27.53 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,V4,V4), P_meet-{F}(V7,V8,V3), P_meet-{F}(V9,V4,V9), P_join-{F}(V9,V5,V10), P_meet-{F}(V4,V10,V11), P_join-{F}(V12,V9,V3), P_join-{F}(V12,V11,V13), P_join-{F}(V2,V13,V1), P_join-{F}(V14,V4,V13), P_meet-{F}(V8,V4,V15), P_meet-{F}(V15,V5,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #940: mergings( V18 == V19, V3 == V4, V4 == V6, V5 == V7; #925 ), references = 1, size of lhs = 20:
% 27.33/27.53 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,V4,V4), P_meet-{F}(V8,V9,V3), P_meet-{F}(V10,V4,V10), P_join-{F}(V10,V6,V11), P_meet-{F}(V4,V11,V12), P_join-{F}(V13,V10,V3), P_join-{F}(V13,V12,V14), P_join-{F}(V2,V14,V1), P_join-{F}(V15,V4,V14), P_meet-{F}(V9,V4,V16), P_meet-{F}(V16,V6,V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #999: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V12, V12 == V13, V13 == V16, V16 == V18, V9 == V19; #983 ), references = 1, size of lhs = 10:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V4,V5), P_join-{F}(V3,V5,V3), P_r2-{F}(V6) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1014: mergings( V10 == V21, V3 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V12, V12 == V13, V13 == V16, V16 == V18, V9 == V19; #984 ), references = 1, size of lhs = 10:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_r2-{F}(V5), P_meet-{F}(V3,V4,V6), P_meet-{F}(V6,V4,V6), P_join-{F}(V3,V6,V3) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1029: mergings( V10 == V21, V3 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V12, V12 == V13, V13 == V16, V16 == V18, V9 == V19; #985 ), references = 1, size of lhs = 10:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_r2-{F}(V5), P_meet-{F}(V3,V4,V6), P_meet-{F}(V6,V4,V6), P_join-{F}(V3,V6,V3) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1061: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V17, V9 == V18; #1045 ), references = 1, size of lhs = 7:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4), P_r2-{F}(V5) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1078: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V13, V13 == V15, V7 == V16; #1062 ), references = 1, size of lhs = 6:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V4,V1,V4) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1099: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V15, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V14, V14 == V16, V8 == V17; #1082 ), references = 1, size of lhs = 4:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1117: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V15, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V14, V14 == V16, V8 == V17; #1100 ), references = 1, size of lhs = 3:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1134: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15; #1118 ), references = 1, size of lhs = 2:
% 27.33/27.53 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1145: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1135 ), references = 1, size of lhs = 1:
% 27.33/27.53 P_n0-{F}(V0) | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 #1149: exists( #21, #1135 ), references = 1, size of lhs = 0:
% 27.33/27.53 FALSE | FALSE
% 27.33/27.53 (used 0 times, uses = {})
% 27.33/27.53
% 27.33/27.53 number of learnt formulas = 74
% 27.33/27.53
% 27.33/27.53
% 27.33/27.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.33/27.53
% 27.33/27.53 randbase = 1
%------------------------------------------------------------------------------