TSTP Solution File: LAT091-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:07:54 EDT 2022
% Result : Unsatisfiable 3.23s 3.48s
% Output : Refutation 3.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 20:39:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.23/3.48 GeoParameters:
% 3.23/3.48
% 3.23/3.48 tptp_input = 1
% 3.23/3.48 tptp_output = 0
% 3.23/3.48 nonempty = 1
% 3.23/3.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/3.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.23/3.48
% 3.23/3.48
% 3.23/3.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/3.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/3.48
% 3.23/3.48 RuleSystem INPUT:
% 3.23/3.48
% 3.23/3.48 Initial Rules:
% 3.23/3.48 #0: input, references = 6, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), V5 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #1: input, references = 7, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V0,V2), P_join-{F}(V0,V0,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5), V5 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #2: input, references = 5, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5), V5 == V1 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #3: input, references = 10, size of lhs = 5:
% 3.23/3.48 P_join-{F}(V0,V1,V3), P_join-{F}(V2,V0,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V0,V6), V6 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #4: input, references = 13, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V1,V3), P_meet-{F}(V2,V0,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V0,V6), V6 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #5: input, references = 5, size of lhs = 4:
% 3.23/3.48 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V0,V1,V3), P_join-{F}(V1,V0,V3) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #6: input, references = 23, size of lhs = 2:
% 3.23/3.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #7: input, references = 30, size of lhs = 2:
% 3.23/3.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #8: input, references = 4, size of lhs = 0:
% 3.23/3.48 FALSE | EXISTS V0: P_b-{T}(V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #9: input, references = 4, size of lhs = 0:
% 3.23/3.48 FALSE | EXISTS V0: P_a-{T}(V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 number of initial rules = 10
% 3.23/3.48
% 3.23/3.48 Simplifiers:
% 3.23/3.48 #10: unsound, references = 3, size of lhs = 3:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #11: unsound, references = 3, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #12: unsound, references = 3, size of lhs = 3:
% 3.23/3.48 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #13: unsound, references = 3, size of lhs = 3:
% 3.23/3.48 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 number of simplifiers = 4
% 3.23/3.48
% 3.23/3.48 Learnt:
% 3.23/3.48 #15: exists( #6, #5 ), references = 1, size of lhs = 2:
% 3.23/3.48 P_b-{F}(V0), P_a-{F}(V0) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #19: exists( #6, #0 ), references = 14, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4) | P_join-{T}(V2,V4,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #20: exists( #6, #1 ), references = 14, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V1,V4,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #21: exists( #6, #2 ), references = 12, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4) | P_join-{T}(V2,V4,V1)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #23: exists( #7, #3 ), references = 18, size of lhs = 3:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #37: exists( #7, #32 ), references = 8, size of lhs = 1:
% 3.23/3.48 P_join-{F}(V0,V0,V0) | P_meet-{T}(V0,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #48: mergings( V1 == V7, V3 == V8; #45 ), references = 2, size of lhs = 6:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V1,V2), P_meet-{F}(V4,V2,V2), P_meet-{F}(V0,V0,V5) | P_meet-{T}(V1,V0,V2)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #59: exists( #7, #57 ), references = 1, size of lhs = 10:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V2,V0,V4), P_join-{F}(V0,V3,V5), P_meet-{F}(V0,V5,V2), P_join-{F}(V6,V2,V3), P_meet-{F}(V7,V8,V2), P_meet-{F}(V9,V7,V4), P_join-{F}(V2,V7,V10), V10 == V7 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #74: mergings( V0 == V3; #72 ), references = 1, size of lhs = 9:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V0), P_meet-{F}(V0,V2,V0), P_join-{F}(V0,V3,V2), P_join-{F}(V0,V4,V3), P_meet-{F}(V0,V4,V5), P_join-{F}(V6,V5,V3) | P_meet-{T}(V0,V3,V1)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #78: exists( #7, #76 ), references = 1, size of lhs = 5:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V4,V0,V3), P_join-{F}(V1,V0,V5), V5 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #80: exists( #7, #77 ), references = 3, size of lhs = 3:
% 3.23/3.48 P_join-{F}(V0,V1,V0), P_join-{F}(V1,V0,V2), V2 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #85: exists( #7, #83 ), references = 4, size of lhs = 5:
% 3.23/3.48 P_join-{F}(V0,V1,V1), P_join-{F}(V1,V1,V2), P_meet-{F}(V1,V3,V1), P_join-{F}(V4,V1,V3), P_join-{F}(V1,V5,V4) | P_meet-{T}(V4,V1,V2)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #92: exists( #7, #90 ), references = 1, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V1,V1), P_join-{F}(V0,V1,V2), P_join-{F}(V1,V2,V2), P_join-{F}(V3,V1,V2), P_meet-{F}(V1,V1,V4) | P_meet-{T}(V1,V2,V1)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #97: exists( #6, #4 ), references = 9, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #120: exists( #7, #118 ), references = 5, size of lhs = 6:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V4,V2,V5), P_meet-{F}(V0,V5,V6), P_meet-{F}(V6,V2,V7), V7 == V2 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #123: exists( #6, #121 ), references = 1, size of lhs = 7:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V4,V2,V5), V5 == V2, P_meet-{F}(V2,V6,V7), P_meet-{F}(V8,V2,V9) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #125: exists( #7, #122 ), references = 2, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V1,V1), P_meet-{F}(V0,V2,V1), P_join-{F}(V0,V2,V3) | P_meet-{T}(V1,V1,V1)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #129: exists( #6, #127 ), references = 2, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V0), P_meet-{F}(V2,V0,V0) | P_join-{T}(V0,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #184: mergings( V1 == V5; #182 ), references = 1, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V1,V1), P_join-{F}(V0,V2,V1), P_meet-{F}(V0,V2,V3), P_join-{F}(V4,V3,V1) | P_meet-{T}(V0,V1,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #222: exists( #7, #216 ), references = 11, size of lhs = 3:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V0,V0) | P_meet-{T}(V2,V0,V2)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #235: exists( #6, #231 ), references = 8, size of lhs = 8:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V2,V0), P_meet-{F}(V2,V2,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V0,V5,V4), P_meet-{F}(V6,V0,V0), P_meet-{F}(V0,V7,V8) | P_join-{T}(V8,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #236: exists( #6, #232 ), references = 1, size of lhs = 9:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V2,V0), P_meet-{F}(V2,V2,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V4,V5,V0), P_join-{F}(V4,V5,V6), P_meet-{F}(V7,V0,V0), P_meet-{F}(V0,V8,V9) | P_join-{T}(V9,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #244: exists( #6, #80 ), references = 3, size of lhs = 1:
% 3.23/3.48 P_join-{F}(V0,V1,V0) | P_join-{T}(V1,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #248: exists( #7, #246 ), references = 2, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V0,V3,V4), V4 == V3 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #278: exists( #7, #276 ), references = 1, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V4,V1), V3 == V0, P_join-{F}(V3,V4,V2) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #294: mergings( V3 == V9; #291 ), references = 5, size of lhs = 9:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V0,V7,V0), P_join-{F}(V8,V0,V9) | P_meet-{T}(V0,V9,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #296: mergings( V3 == V9; #292 ), references = 1, size of lhs = 10:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_meet-{F}(V0,V7,V0), P_join-{F}(V0,V7,V8), P_join-{F}(V9,V0,V10) | P_meet-{T}(V0,V10,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #329: mergings( V3 == V9; #327 ), references = 4, size of lhs = 8:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V0,V7,V7) | P_meet-{T}(V0,V7,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #351: mergings( V3 == V9; #349 ), references = 3, size of lhs = 12:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V7,V0), P_meet-{F}(V7,V7,V8), P_meet-{F}(V9,V10,V8), P_join-{F}(V7,V9,V11), V11 == V9 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #357: mergings( V1 == V11; #355 ), references = 1, size of lhs = 21:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V7,V0), P_meet-{F}(V7,V7,V8), P_join-{F}(V8,V8,V8), P_join-{F}(V9,V9,V8), P_meet-{F}(V9,V9,V10), P_meet-{F}(V8,V9,V11), P_join-{F}(V8,V12,V11), P_meet-{F}(V13,V8,V8), P_meet-{F}(V8,V8,V14), P_join-{F}(V8,V15,V8), P_join-{F}(V16,V8,V8), P_join-{F}(V8,V17,V18), P_join-{F}(V7,V18,V19), V19 == V18 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #360: mergings( V11 == V10; #358 ), references = 3, size of lhs = 19:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V7,V0), P_meet-{F}(V7,V7,V8), P_join-{F}(V8,V8,V8), P_join-{F}(V9,V9,V8), P_meet-{F}(V9,V9,V10), P_meet-{F}(V8,V9,V11), P_join-{F}(V8,V12,V11), P_meet-{F}(V13,V8,V8), P_meet-{F}(V8,V8,V14), P_join-{F}(V8,V15,V8), P_join-{F}(V16,V8,V8), P_join-{F}(V8,V17,V18) | P_join-{T}(V7,V18,V18)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #375: mergings( V1 == V11; #373 ), references = 3, size of lhs = 14:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V0,V7,V0), P_join-{F}(V8,V0,V0), P_join-{F}(V0,V9,V10), P_meet-{F}(V11,V10,V12), P_join-{F}(V0,V12,V13), P_join-{F}(V13,V10,V14), V14 == V10 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #378: mergings( V3 == V12; #376 ), references = 2, size of lhs = 12:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V0,V7,V0), P_join-{F}(V8,V0,V0), P_join-{F}(V0,V9,V10), P_meet-{F}(V11,V10,V12), P_join-{F}(V0,V12,V13) | P_join-{T}(V13,V10,V10)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #408: exists( #7, #404 ), references = 1, size of lhs = 6:
% 3.23/3.48 P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V1,V3), P_join-{F}(V3,V4,V5), P_meet-{F}(V5,V0,V6), P_meet-{F}(V6,V3,V7), V7 == V3 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #409: exists( #7, #405 ), references = 1, size of lhs = 7:
% 3.23/3.48 P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V1,V3), P_meet-{F}(V4,V5,V3), P_join-{F}(V4,V5,V6), P_meet-{F}(V4,V0,V7), P_meet-{F}(V7,V3,V8), V8 == V3 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #417: mergings( V3 == V9; #414 ), references = 1, size of lhs = 10:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V0,V7,V0), P_join-{F}(V8,V8,V9), P_meet-{F}(V10,V9,V0) | P_meet-{T}(V0,V8,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #419: mergings( V3 == V9; #415 ), references = 1, size of lhs = 11:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_meet-{F}(V0,V7,V0), P_join-{F}(V0,V7,V8), P_join-{F}(V9,V9,V10), P_meet-{F}(V11,V10,V0) | P_meet-{T}(V0,V9,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #456: exists( #7, #450 ), references = 1, size of lhs = 13:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V7,V0), P_meet-{F}(V7,V7,V8), P_join-{F}(V8,V9,V10), P_meet-{F}(V11,V10,V7), P_join-{F}(V11,V10,V12), P_join-{F}(V13,V8,V12) | P_meet-{T}(V10,V12,V10)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #457: exists( #7, #452 ), references = 2, size of lhs = 5:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2), P_join-{F}(V1,V3,V5), V5 == V3 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #495: exists( #6, #457 ), references = 1, size of lhs = 3:
% 3.23/3.48 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2) | P_join-{T}(V1,V3,V3)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #506: mergings( V9 == V17, V17 == V23; #503 ), references = 1, size of lhs = 29:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_join-{F}(V0,V6,V0), P_join-{F}(V7,V0,V0), P_join-{F}(V8,V8,V0), P_meet-{F}(V8,V8,V9), P_meet-{F}(V0,V8,V10), P_join-{F}(V0,V11,V10), P_meet-{F}(V12,V0,V0), P_join-{F}(V13,V13,V0), P_meet-{F}(V13,V13,V14), P_meet-{F}(V0,V13,V15), P_join-{F}(V0,V16,V15), P_meet-{F}(V17,V0,V0), P_meet-{F}(V0,V0,V18), P_join-{F}(V0,V19,V0), P_join-{F}(V20,V0,V0), P_join-{F}(V0,V21,V0), P_meet-{F}(V22,V23,V0), P_join-{F}(V22,V23,V24), P_meet-{F}(V25,V23,V21), P_meet-{F}(V23,V23,V26), P_meet-{F}(V27,V23,V26), P_join-{F}(V23,V23,V28), V28 == V23 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #510: mergings( V8 == V16, V16 == V22; #507 ), references = 1, size of lhs = 27:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_join-{F}(V0,V6,V0), P_join-{F}(V7,V0,V0), P_join-{F}(V8,V8,V0), P_meet-{F}(V8,V8,V9), P_meet-{F}(V0,V8,V10), P_join-{F}(V0,V11,V10), P_meet-{F}(V12,V0,V0), P_join-{F}(V13,V13,V0), P_meet-{F}(V13,V13,V14), P_meet-{F}(V0,V13,V15), P_join-{F}(V0,V16,V15), P_meet-{F}(V17,V0,V0), P_meet-{F}(V0,V0,V18), P_join-{F}(V0,V19,V0), P_join-{F}(V20,V0,V0), P_join-{F}(V0,V21,V0), P_meet-{F}(V22,V23,V0), P_join-{F}(V22,V23,V24), P_meet-{F}(V25,V23,V21), P_join-{F}(V23,V23,V26), V26 == V23 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #519: mergings( V3 == V9; #517 ), references = 2, size of lhs = 13:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V7,V0), P_meet-{F}(V7,V7,V8), P_meet-{F}(V0,V7,V9), P_join-{F}(V0,V10,V11), P_join-{F}(V10,V10,V12), V12 == V10 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #522: mergings( V3 == V9; #520 ), references = 5, size of lhs = 11:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_meet-{F}(V0,V0,V6), P_join-{F}(V7,V7,V0), P_meet-{F}(V7,V7,V8), P_meet-{F}(V0,V7,V9), P_join-{F}(V0,V10,V11) | P_join-{T}(V10,V10,V10)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #559: mergings( V22 == V7, V13 == V0, V0 == V28, V28 == V34, V43 == V50, V19 == V34; #552 ), references = 1, size of lhs = 51:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V2,V0), P_meet-{F}(V2,V2,V3), P_join-{F}(V4,V4,V4), P_join-{F}(V5,V5,V4), P_meet-{F}(V5,V5,V6), P_meet-{F}(V4,V5,V7), P_join-{F}(V4,V8,V7), P_meet-{F}(V9,V4,V4), P_join-{F}(V10,V10,V4), P_meet-{F}(V10,V10,V11), P_meet-{F}(V4,V10,V12), P_join-{F}(V4,V13,V12), P_meet-{F}(V14,V4,V4), P_join-{F}(V15,V15,V4), P_meet-{F}(V15,V15,V16), P_meet-{F}(V4,V15,V17), P_join-{F}(V4,V18,V17), P_meet-{F}(V19,V4,V4), P_meet-{F}(V4,V4,V20), P_join-{F}(V20,V20,V20), P_meet-{F}(V20,V20,V20), P_join-{F}(V21,V21,V20), P_meet-{F}(V21,V21,V22), P_meet-{F}(V20,V21,V23), P_join-{F}(V20,V24,V23), P_meet-{F}(V25,V20,V20), P_join-{F}(V20,V26,V20), P_join-{F}(V27,V20,V20), P_join-{F}(V28,V28,V4), P_meet-{F}(V28,V28,V29), P_meet-{F}(V4,V28,V30), P_meet-{F}(V0,V31,V20), P_join-{F}(V32,V32,V32), P_join-{F}(V32,V4,V3), P_join-{F}(V33,V33,V32), P_meet-{F}(V33,V33,V34), P_meet-{F}(V32,V33,V35), P_join-{F}(V32,V36,V35), P_meet-{F}(V37,V32,V32), P_join-{F}(V32,V38,V32), P_join-{F}(V39,V39,V32), P_meet-{F}(V39,V39,V40), P_meet-{F}(V32,V39,V41), P_join-{F}(V32,V42,V41), P_meet-{F}(V43,V32,V32), P_meet-{F}(V32,V32,V44), P_join-{F}(V32,V45,V32), P_join-{F}(V46,V32,V32), P_meet-{F}(V47,V0,V32) | P_join-{T}(V20,V32,V2)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #583: mergings( V0 == V3, V1 == V63, V3 == V9, V9 == V15, V15 == V23, V23 == V29, V29 == V36, V36 == V59, V63 == V44, V44 == V51, V51 == V69, V69 == V75, V75 == V81; #569 ), references = 2, size of lhs = 75:
% 3.23/3.48 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_join-{F}(V6,V6,V0), P_meet-{F}(V6,V6,V7), P_meet-{F}(V0,V6,V8), P_join-{F}(V0,V9,V8), P_meet-{F}(V10,V0,V0), P_join-{F}(V0,V11,V0), P_join-{F}(V12,V0,V0), P_join-{F}(V13,V13,V0), P_meet-{F}(V13,V13,V14), P_meet-{F}(V0,V13,V15), P_join-{F}(V0,V16,V15), P_meet-{F}(V17,V0,V0), P_join-{F}(V18,V18,V0), P_meet-{F}(V18,V18,V19), P_meet-{F}(V0,V18,V20), P_join-{F}(V0,V21,V20), P_meet-{F}(V22,V0,V0), P_join-{F}(V0,V23,V0), P_join-{F}(V24,V24,V0), P_meet-{F}(V24,V24,V25), P_meet-{F}(V0,V24,V26), P_join-{F}(V0,V27,V26), P_meet-{F}(V28,V0,V0), P_join-{F}(V0,V29,V0), P_join-{F}(V30,V0,V0), P_a-{F}(V31), P_join-{F}(V31,V31,V31), P_meet-{F}(V31,V31,V31), P_join-{F}(V32,V32,V31), P_meet-{F}(V32,V32,V33), P_meet-{F}(V31,V32,V34), P_join-{F}(V31,V35,V34), P_meet-{F}(V36,V31,V31), P_join-{F}(V31,V37,V31), P_join-{F}(V38,V38,V31), P_meet-{F}(V38,V38,V39), P_meet-{F}(V31,V38,V40), P_join-{F}(V31,V41,V40), P_meet-{F}(V42,V31,V31), P_join-{F}(V31,V43,V31), P_join-{F}(V44,V31,V31), P_join-{F}(V45,V45,V0), P_meet-{F}(V45,V45,V46), P_meet-{F}(V0,V45,V47), P_join-{F}(V0,V48,V47), P_meet-{F}(V49,V0,V0), P_join-{F}(V50,V50,V0), P_meet-{F}(V50,V50,V51), P_meet-{F}(V0,V50,V52), P_join-{F}(V53,V53,V31), P_meet-{F}(V53,V53,V54), P_meet-{F}(V31,V53,V55), P_join-{F}(V31,V56,V55), P_meet-{F}(V57,V31,V31), P_join-{F}(V58,V58,V31), P_meet-{F}(V58,V58,V59), P_meet-{F}(V31,V58,V60), P_join-{F}(V31,V61,V60), P_meet-{F}(V62,V31,V31), P_join-{F}(V63,V63,V31), P_meet-{F}(V63,V63,V64), P_meet-{F}(V31,V63,V65), P_join-{F}(V31,V66,V65), P_meet-{F}(V67,V31,V31), P_join-{F}(V68,V68,V31), P_meet-{F}(V68,V68,V69), P_meet-{F}(V31,V68,V70) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #591: exists( #6, #589 ), references = 2, size of lhs = 52:
% 3.23/3.48 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V1,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V5,V0,V0), P_join-{F}(V6,V6,V0), P_meet-{F}(V6,V6,V7), P_meet-{F}(V0,V6,V8), P_join-{F}(V0,V9,V8), P_meet-{F}(V10,V0,V0), P_join-{F}(V0,V11,V0), P_join-{F}(V12,V0,V0), P_join-{F}(V13,V13,V0), P_meet-{F}(V13,V13,V14), P_meet-{F}(V0,V13,V15), P_join-{F}(V0,V16,V15), P_meet-{F}(V17,V0,V0), P_join-{F}(V18,V18,V0), P_meet-{F}(V18,V18,V19), P_meet-{F}(V0,V18,V20), P_join-{F}(V0,V21,V20), P_meet-{F}(V22,V0,V0), P_join-{F}(V0,V23,V0), P_join-{F}(V24,V24,V0), P_meet-{F}(V24,V24,V25), P_meet-{F}(V0,V24,V26), P_join-{F}(V0,V27,V26), P_meet-{F}(V28,V0,V0), P_join-{F}(V0,V29,V0), P_join-{F}(V30,V0,V0), P_a-{F}(V31), P_join-{F}(V32,V32,V0), P_meet-{F}(V32,V32,V33), P_meet-{F}(V0,V32,V34), P_join-{F}(V0,V35,V34), P_meet-{F}(V36,V0,V0), P_join-{F}(V37,V37,V0), P_meet-{F}(V37,V37,V38), P_meet-{F}(V0,V37,V39), P_join-{F}(V40,V40,V40), P_join-{F}(V41,V41,V40), P_meet-{F}(V41,V41,V42), P_meet-{F}(V40,V41,V43), P_join-{F}(V40,V44,V43), P_meet-{F}(V45,V40,V40), P_meet-{F}(V40,V40,V46), P_join-{F}(V47,V47,V40), P_meet-{F}(V47,V47,V48), P_meet-{F}(V40,V47,V49) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #599: exists( #6, #597 ), references = 2, size of lhs = 22:
% 3.23/3.48 P_b-{F}(V0), P_a-{F}(V1), P_join-{F}(V2,V2,V2), P_join-{F}(V3,V3,V2), P_meet-{F}(V3,V3,V4), P_meet-{F}(V2,V3,V5), P_join-{F}(V2,V6,V5), P_meet-{F}(V7,V2,V2), P_meet-{F}(V2,V2,V8), P_join-{F}(V9,V9,V2), P_meet-{F}(V9,V9,V10), P_meet-{F}(V2,V9,V11), P_join-{F}(V12,V12,V12), P_join-{F}(V13,V13,V12), P_meet-{F}(V13,V13,V14), P_meet-{F}(V12,V13,V15), P_join-{F}(V12,V16,V15), P_meet-{F}(V17,V12,V12), P_meet-{F}(V12,V12,V18), P_join-{F}(V19,V19,V12), P_meet-{F}(V19,V19,V20), P_meet-{F}(V12,V19,V21) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #623: exists( #7, #618 ), references = 1, size of lhs = 6:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6), P_meet-{F}(V6,V3,V7), V7 == V3 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #624: exists( #7, #619 ), references = 1, size of lhs = 7:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V4,V5,V3), P_join-{F}(V4,V5,V6), P_meet-{F}(V4,V1,V7), P_meet-{F}(V7,V3,V8), V8 == V3 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #627: exists( #7, #622 ), references = 1, size of lhs = 5:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V4,V5,V3), P_join-{F}(V4,V5,V6), P_meet-{F}(V4,V1,V7) | P_meet-{T}(V7,V3,V3)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #628: exists( #7, #621 ), references = 1, size of lhs = 4:
% 3.23/3.48 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6) | P_meet-{T}(V6,V3,V3)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #634: exists( #6, #632 ), references = 1, size of lhs = 6:
% 3.23/3.48 P_meet-{F}(V0,V0,V1), P_meet-{F}(V2,V0,V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V0,V5,V1), P_meet-{F}(V6,V0,V1) | P_join-{T}(V1,V1,V1)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #646: mergings( V2 == V3; #642 ), references = 1, size of lhs = 2:
% 3.23/3.48 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #650: exists( #6, #642 ), references = 1, size of lhs = 1:
% 3.23/3.48 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #664: mergings( V2 == V3, V4 == V5, V5 == V8, V3 == V9, V8 == V10, V10 == V11, V12 == V13, V14 == V15, V15 == V18, V13 == V19, V18 == V20, V20 == V21; #651 ), references = 1, size of lhs = 9:
% 3.23/3.48 P_b-{F}(V0), P_join-{F}(V1,V1,V1), P_meet-{F}(V2,V1,V1), P_meet-{F}(V1,V1,V3), P_join-{F}(V1,V4,V3), P_join-{F}(V5,V5,V5), P_meet-{F}(V6,V5,V5), P_meet-{F}(V5,V5,V7), P_join-{F}(V5,V8,V7) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #678: mergings( V1 == V2, V3 == V4, V4 == V7, V2 == V8, V7 == V9, V9 == V10, V11 == V12, V13 == V14, V14 == V17, V12 == V18, V17 == V19, V19 == V20; #665 ), references = 1, size of lhs = 8:
% 3.23/3.48 P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_meet-{F}(V0,V0,V2), P_join-{F}(V0,V3,V2), P_join-{F}(V4,V4,V4), P_meet-{F}(V5,V4,V4), P_meet-{F}(V4,V4,V6), P_join-{F}(V4,V7,V6) | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 #681: #647+#37+#665, references = 1, size of lhs = 1:
% 3.23/3.48 #-{F} V0 | FALSE
% 3.23/3.48 (used 0 times, uses = {})
% 3.23/3.48
% 3.23/3.48 number of learnt formulas = 58
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% 3.23/3.48
% 3.23/3.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
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% 3.23/3.48 randbase = 1
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