TSTP Solution File: LAT029-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT029-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:07:48 EDT 2022
% Result : Unsatisfiable 1.84s 2.03s
% Output : Refutation 1.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 20:07:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.84/2.03 GeoParameters:
% 1.84/2.03
% 1.84/2.03 tptp_input = 1
% 1.84/2.03 tptp_output = 0
% 1.84/2.03 nonempty = 1
% 1.84/2.03 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.03 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.84/2.03
% 1.84/2.03
% 1.84/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.03
% 1.84/2.03 RuleSystem INPUT:
% 1.84/2.03
% 1.84/2.03 Initial Rules:
% 1.84/2.03 #0: input, references = 7, size of lhs = 5:
% 1.84/2.03 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
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #1: input, references = 7, size of lhs = 5:
% 1.84/2.03 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
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #2: input, references = 4, size of lhs = 5:
% 1.84/2.03 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
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #3: input, references = 9, size of lhs = 5:
% 1.84/2.03 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
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #4: input, references = 12, size of lhs = 5:
% 1.84/2.03 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
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #5: input, references = 4, size of lhs = 8:
% 1.84/2.03 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V2), P_meet-{F}(V2,V0,V4), P_meet-{F}(V0,V2,V4), P_join-{F}(V0,V0,V0), P_join-{F}(V2,V0,V7), P_join-{F}(V0,V2,V7) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #6: input, references = 18, size of lhs = 2:
% 1.84/2.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #7: input, references = 28, size of lhs = 2:
% 1.84/2.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #8: input, references = 4, size of lhs = 0:
% 1.84/2.03 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #9: input, references = 4, size of lhs = 0:
% 1.84/2.03 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 number of initial rules = 10
% 1.84/2.03
% 1.84/2.03 Simplifiers:
% 1.84/2.03 #10: unsound, references = 3, size of lhs = 3:
% 1.84/2.03 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #11: unsound, references = 3, size of lhs = 3:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #12: unsound, references = 3, size of lhs = 3:
% 1.84/2.03 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #13: unsound, references = 3, size of lhs = 3:
% 1.84/2.03 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 number of simplifiers = 4
% 1.84/2.03
% 1.84/2.03 Learnt:
% 1.84/2.03 #15: exists( #7, #3 ), references = 24, size of lhs = 3:
% 1.84/2.03 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #21: exists( #6, #4 ), references = 10, size of lhs = 3:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #25: exists( #6, #23 ), references = 2, size of lhs = 7:
% 1.84/2.03 P_meet-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V0,V6,V7), P_meet-{F}(V8,V0,V7), P_join-{F}(V0,V9,V8) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #28: exists( #7, #26 ), references = 2, size of lhs = 6:
% 1.84/2.03 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_join-{F}(V1,V2,V3), V3 == V0, P_join-{F}(V2,V4,V5), P_join-{F}(V6,V2,V7) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #31: exists( #6, #28 ), references = 1, size of lhs = 2:
% 1.84/2.03 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1) | P_join-{T}(V1,V1,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #53: exists( #6, #0 ), references = 12, size of lhs = 3:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4) | P_join-{T}(V2,V4,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #54: exists( #6, #1 ), references = 12, size of lhs = 3:
% 1.84/2.03 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V1,V4,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #55: exists( #6, #2 ), references = 5, size of lhs = 3:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4) | P_join-{T}(V2,V4,V1)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #61: exists( #7, #59 ), references = 2, size of lhs = 7:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5), P_meet-{F}(V0,V6,V7), P_join-{F}(V8,V0,V7), P_meet-{F}(V0,V9,V8) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #76: exists( #7, #72 ), references = 1, size of lhs = 8:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V4,V5,V2), P_meet-{F}(V2,V5,V6), V6 == V5, P_join-{F}(V5,V7,V8), P_meet-{F}(V0,V9,V8), P_join-{F}(V10,V2,V9) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #77: exists( #7, #73 ), references = 2, size of lhs = 6:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V3,V4), V4 == V3, P_meet-{F}(V0,V5,V3), P_join-{F}(V6,V2,V5) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #79: exists( #7, #74 ), references = 1, size of lhs = 6:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V4,V5,V2), P_join-{F}(V5,V6,V7), P_meet-{F}(V0,V8,V7), P_join-{F}(V9,V2,V8) | P_meet-{T}(V2,V5,V5)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #87: exists( #7, #85 ), references = 8, size of lhs = 1:
% 1.84/2.03 P_join-{F}(V0,V0,V0) | P_meet-{T}(V0,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #95: exists( #7, #93 ), references = 3, size of lhs = 5:
% 1.84/2.03 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
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #97: exists( #7, #25 ), references = 1, size of lhs = 3:
% 1.84/2.03 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V2), P_join-{F}(V0,V4,V3) | P_meet-{T}(V0,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #107: exists( #6, #77 ), references = 1, size of lhs = 4:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V5,V2,V4) | P_join-{T}(V0,V3,V3)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #120: exists( #6, #118 ), references = 2, size of lhs = 6:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V0,V5,V6), P_meet-{F}(V6,V0,V7), P_meet-{F}(V7,V0,V8), V8 == V0 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #139: exists( #7, #135 ), references = 1, size of lhs = 9:
% 1.84/2.03 P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V2,V3), V3 == V1, P_meet-{F}(V3,V4,V1), P_join-{F}(V5,V3,V4), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_meet-{F}(V6,V9,V5), P_join-{F}(V10,V3,V9) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #140: exists( #7, #136 ), references = 1, size of lhs = 12:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5), P_meet-{F}(V0,V6,V7), P_meet-{F}(V0,V8,V7), P_meet-{F}(V7,V9,V0), P_join-{F}(V10,V7,V9), P_meet-{F}(V11,V12,V7), P_join-{F}(V11,V12,V13), P_meet-{F}(V11,V14,V10), P_join-{F}(V15,V7,V14) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #144: exists( #7, #120 ), references = 1, size of lhs = 2:
% 1.84/2.03 P_meet-{F}(V0,V1,V1), P_join-{F}(V1,V2,V0) | P_meet-{T}(V1,V1,V1)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #170: exists( #7, #168 ), references = 1, size of lhs = 10:
% 1.84/2.03 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V4,V2), P_join-{F}(V3,V4,V5), P_join-{F}(V6,V2,V7), P_meet-{F}(V3,V7,V8), P_meet-{F}(V9,V10,V1), P_meet-{F}(V11,V9,V2), P_join-{F}(V0,V9,V12), V12 == V9 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #173: mergings( V2 == V10; #171 ), references = 1, size of lhs = 7:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V0,V1), P_meet-{F}(V3,V4,V1), P_join-{F}(V3,V4,V5), P_join-{F}(V6,V1,V7), P_meet-{F}(V3,V7,V8) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #205: exists( #6, #95 ), references = 1, size of lhs = 3:
% 1.84/2.03 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V4,V0,V3) | P_join-{T}(V1,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #211: exists( #7, #209 ), references = 2, size of lhs = 11:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5), P_join-{F}(V3,V5,V6), P_meet-{F}(V5,V6,V7), P_meet-{F}(V8,V0,V7), P_join-{F}(V0,V9,V7), P_meet-{F}(V0,V10,V9), P_meet-{F}(V11,V5,V9), P_join-{F}(V7,V12,V11) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #233: exists( #7, #229 ), references = 2, size of lhs = 5:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2), P_join-{F}(V0,V3,V5), V5 == V3 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #237: exists( #7, #235 ), references = 1, size of lhs = 8:
% 1.84/2.03 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_join-{F}(V6,V2,V7), P_meet-{F}(V7,V8,V2), P_join-{F}(V6,V7,V9), V9 == V7 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #239: exists( #6, #236 ), references = 2, size of lhs = 6:
% 1.84/2.03 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_join-{F}(V6,V2,V7), P_meet-{F}(V7,V8,V2) | P_join-{T}(V6,V7,V7)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #245: mergings( V4 == V8; #243 ), references = 1, size of lhs = 8:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V2), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V4,V2), P_meet-{F}(V5,V0,V2), P_meet-{F}(V0,V6,V2) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #263: exists( #7, #261 ), references = 2, size of lhs = 6:
% 1.84/2.03 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V0,V5,V6), P_join-{F}(V6,V0,V7), P_join-{F}(V7,V0,V8), V8 == V0 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #267: exists( #7, #265 ), references = 1, size of lhs = 9:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V2), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V5,V2), P_join-{F}(V0,V4,V6), P_join-{F}(V0,V7,V8), P_join-{F}(V9,V0,V10) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #269: exists( #6, #266 ), references = 1, size of lhs = 8:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V0,V2), P_meet-{F}(V0,V3,V2), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V5,V2), P_join-{F}(V0,V6,V7), P_join-{F}(V8,V0,V9) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #272: mergings( V2 == V3; #270 ), references = 2, size of lhs = 4:
% 1.84/2.03 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #274: exists( #6, #270 ), references = 9, size of lhs = 1:
% 1.84/2.03 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #281: exists( #7, #277 ), references = 10, size of lhs = 1:
% 1.84/2.03 P_join-{F}(V0,V1,V1) | P_meet-{T}(V0,V1,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #286: exists( #7, #95 ), references = 2, size of lhs = 3:
% 1.84/2.03 P_join-{F}(V0,V1,V0), P_join-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #289: exists( #6, #233 ), references = 1, size of lhs = 3:
% 1.84/2.03 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2) | P_join-{T}(V0,V3,V3)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #329: mergings( V1 == V3; #326 ), references = 9, size of lhs = 4:
% 1.84/2.03 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_meet-{F}(V0,V2,V3) | P_join-{T}(V3,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #349: exists( #6, #286 ), references = 7, size of lhs = 1:
% 1.84/2.03 P_join-{F}(V0,V1,V0) | P_join-{T}(V1,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #378: mergings( V0 == V4; #376 ), references = 4, size of lhs = 5:
% 1.84/2.03 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V0,V2,V0), P_join-{F}(V3,V0,V4) | P_meet-{T}(V0,V4,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #404: mergings( V1 == V3; #402 ), references = 5, size of lhs = 4:
% 1.84/2.03 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_join-{F}(V0,V2,V3) | P_meet-{T}(V3,V0,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #421: mergings( V1 == V3, V0 == V5, V5 == V6, V6 == V8; #416 ), references = 1, size of lhs = 8:
% 1.84/2.03 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V1), P_meet-{F}(V1,V1,V1), P_meet-{F}(V2,V1,V1), P_meet-{F}(V0,V1,V3), P_join-{F}(V3,V4,V1), P_join-{F}(V5,V3,V0) | P_meet-{T}(V1,V0,V3)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #432: mergings( V0 == V3, V1 == V6, V6 == V7; #428 ), references = 2, size of lhs = 10:
% 1.84/2.03 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_a-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V3,V2,V2), P_join-{F}(V0,V2,V4), P_join-{F}(V2,V0,V4) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #472: exists( #6, #466 ), references = 1, size of lhs = 10:
% 1.84/2.03 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_meet-{F}(V2,V2,V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V3,V2,V2), P_join-{F}(V2,V4,V2), P_join-{F}(V2,V0,V5), P_meet-{F}(V5,V6,V0), P_meet-{F}(V7,V5,V2) | P_join-{T}(V0,V2,V5)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #473: exists( #6, #468 ), references = 1, size of lhs = 10:
% 1.84/2.03 P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_meet-{F}(V2,V2,V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V3,V2,V2), P_join-{F}(V2,V4,V2), P_join-{F}(V2,V0,V5), P_meet-{F}(V5,V6,V0), P_meet-{F}(V7,V5,V2) | P_join-{T}(V0,V2,V5)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #475: mergings( V8 == V7; #471 ), references = 1, size of lhs = 12:
% 1.84/2.03 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V2), P_join-{F}(V2,V2,V2), P_join-{F}(V3,V2,V2), P_meet-{F}(V0,V4,V2), P_meet-{F}(V5,V5,V5), P_join-{F}(V5,V5,V5), P_join-{F}(V5,V2,V1), P_meet-{F}(V6,V5,V5), P_join-{F}(V5,V7,V5), P_meet-{F}(V8,V0,V5) | P_join-{T}(V2,V5,V0)
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #487: exists( #6, #485 ), references = 2, size of lhs = 12:
% 1.84/2.03 P_b-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_join-{F}(V0,V2,V0), P_meet-{F}(V3,V0,V0), P_a-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V4), P_join-{F}(V5,V4,V4), P_meet-{F}(V6,V4,V4), P_join-{F}(V4,V7,V4) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #491: exists( #9, #489 ), references = 1, size of lhs = 6:
% 1.84/2.03 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0), P_meet-{F}(V2,V0,V0), P_join-{F}(V0,V3,V0) | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 #495: exists( #8, #493 ), references = 1, size of lhs = 0:
% 1.84/2.03 FALSE | FALSE
% 1.84/2.03 (used 0 times, uses = {})
% 1.84/2.03
% 1.84/2.03 number of learnt formulas = 48
% 1.84/2.03
% 1.84/2.03
% 1.84/2.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.03
% 1.84/2.03 randbase = 1
%------------------------------------------------------------------------------