TSTP Solution File: LAT088-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% 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 06:07:54 EDT 2022
% Result : Unsatisfiable 0.53s 0.73s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.32 % Computer : n022.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Jul 22 20:25:51 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.53/0.73 GeoParameters:
% 0.53/0.73
% 0.53/0.73 tptp_input = 1
% 0.53/0.73 tptp_output = 0
% 0.53/0.73 nonempty = 1
% 0.53/0.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.53/0.73
% 0.53/0.73
% 0.53/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73
% 0.53/0.73 RuleSystem INPUT:
% 0.53/0.73
% 0.53/0.73 Initial Rules:
% 0.53/0.73 #0: input, references = 6, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #1: input, references = 6, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #2: input, references = 5, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #3: input, references = 6, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #4: input, references = 9, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #5: input, references = 6, size of lhs = 2:
% 0.53/0.73 P_a-{F}(V0), P_meet-{F}(V0,V0,V0) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #6: input, references = 13, size of lhs = 2:
% 0.53/0.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #7: input, references = 26, size of lhs = 2:
% 0.53/0.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #8: input, references = 4, size of lhs = 0:
% 0.53/0.73 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 number of initial rules = 9
% 0.53/0.73
% 0.53/0.73 Simplifiers:
% 0.53/0.73 #9: unsound, references = 3, size of lhs = 3:
% 0.53/0.73 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #10: unsound, references = 3, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #11: unsound, references = 3, size of lhs = 3:
% 0.53/0.73 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 number of simplifiers = 3
% 0.53/0.73
% 0.53/0.73 Learnt:
% 0.53/0.73 #15: exists( #6, #0 ), references = 13, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V4) | P_join-{T}(V2,V4,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #16: exists( #6, #1 ), references = 5, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V1,V4,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #17: exists( #6, #2 ), references = 8, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V3,V4) | P_join-{T}(V2,V4,V1)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #20: exists( #7, #18 ), references = 3, size of lhs = 6:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #22: exists( #7, #19 ), references = 12, size of lhs = 4:
% 0.53/0.73 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)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #32: exists( #7, #27 ), references = 4, size of lhs = 2:
% 0.53/0.73 P_join-{F}(V0,V0,V0), P_join-{F}(V1,V0,V0) | P_meet-{T}(V0,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #33: exists( #7, #29 ), references = 1, size of lhs = 4:
% 0.53/0.73 P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_join-{F}(V2,V0,V0) | P_meet-{T}(V0,V0,V1)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #39: exists( #7, #37 ), references = 4, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #41: exists( #6, #38 ), references = 2, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2) | P_join-{T}(V1,V3,V3)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #59: exists( #7, #52 ), references = 1, size of lhs = 5:
% 0.53/0.73 P_a-{F}(V0), P_join-{F}(V1,V0,V0), P_join-{F}(V2,V0,V0), P_meet-{F}(V2,V2,V0), P_join-{F}(V3,V2,V0) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #60: exists( #7, #53 ), references = 1, size of lhs = 7:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V0,V1), P_join-{F}(V2,V1,V1), P_join-{F}(V3,V1,V1), P_meet-{F}(V3,V3,V1), P_join-{F}(V4,V3,V1) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #62: exists( #7, #39 ), references = 2, size of lhs = 3:
% 0.53/0.73 P_join-{F}(V0,V1,V0), P_join-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #71: exists( #7, #67 ), references = 2, size of lhs = 5:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V4,V1), V0 == V3, P_join-{F}(V3,V4,V2) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #82: exists( #7, #78 ), references = 1, size of lhs = 12:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V3), P_join-{F}(V4,V3,V0), P_meet-{F}(V5,V6,V3), P_join-{F}(V5,V6,V7), P_meet-{F}(V5,V8,V4), P_meet-{F}(V8,V9,V3), P_join-{F}(V10,V8,V9), P_join-{F}(V1,V11,V12), P_meet-{F}(V12,V0,V13), P_meet-{F}(V13,V1,V14), V14 == V1 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #85: exists( #7, #83 ), references = 1, size of lhs = 11:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V4,V5), P_join-{F}(V6,V5,V2), P_meet-{F}(V7,V8,V5), P_join-{F}(V7,V8,V9), P_meet-{F}(V7,V10,V6), P_meet-{F}(V10,V11,V5), P_join-{F}(V12,V10,V11) | P_meet-{T}(V3,V1,V1)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #96: mergings( V3 == V6; #92 ), references = 1, size of lhs = 9:
% 0.53/0.73 P_a-{F}(V0), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V2,V0), P_meet-{F}(V2,V2,V0), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V4), P_join-{F}(V2,V4,V5), P_join-{F}(V6,V2,V4) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #98: mergings( V6 == V7; #93 ), references = 1, size of lhs = 9:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V0,V2,V4), P_join-{F}(V2,V4,V5), V5 == V4, P_join-{F}(V6,V2,V4) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #100: mergings( V4 == V7; #94 ), references = 1, size of lhs = 12:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V4,V1), P_join-{F}(V2,V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V7,V2,V5), P_meet-{F}(V8,V9,V1), P_join-{F}(V8,V9,V3), P_join-{F}(V9,V3,V10), V10 == V3 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #105: mergings( V3 == V5; #101 ), references = 1, size of lhs = 8:
% 0.53/0.73 P_a-{F}(V0), P_meet-{F}(V1,V1,V0), P_join-{F}(V1,V1,V0), P_meet-{F}(V1,V2,V0), P_meet-{F}(V2,V2,V0), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V4), P_join-{F}(V5,V2,V4) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #106: exists( #6, #93 ), references = 1, size of lhs = 7:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V2,V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V0,V2,V4), P_join-{F}(V5,V2,V4) | P_join-{T}(V2,V4,V4)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #117: exists( #7, #115 ), references = 2, size of lhs = 5:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #119: exists( #6, #116 ), references = 1, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V4,V2) | P_join-{T}(V0,V3,V3)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #125: exists( #7, #117 ), references = 2, size of lhs = 3:
% 0.53/0.73 P_join-{F}(V0,V1,V0), P_join-{F}(V0,V0,V2), V2 == V0 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #133: exists( #7, #129 ), references = 3, size of lhs = 6:
% 0.53/0.73 P_meet-{F}(V0,V1,V0), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V0,V1), P_join-{F}(V0,V4,V3), P_meet-{F}(V0,V5,V0), P_join-{F}(V6,V0,V5) | P_meet-{T}(V3,V0,V2)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #134: exists( #7, #130 ), references = 1, size of lhs = 7:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V2,V3,V1), P_join-{F}(V4,V2,V3), P_join-{F}(V1,V5,V4), P_meet-{F}(V2,V6,V1), P_join-{F}(V7,V2,V6) | P_meet-{T}(V4,V2,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #146: mergings( V2 == V7; #143 ), references = 2, size of lhs = 9:
% 0.53/0.73 P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V0), P_join-{F}(V2,V0,V1), P_meet-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V0), P_join-{F}(V5,V0,V4), P_join-{F}(V6,V0,V3), P_join-{F}(V0,V7,V6), P_join-{F}(V0,V8,V6) | P_join-{T}(V0,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #148: mergings( V2 == V7; #144 ), references = 1, size of lhs = 9:
% 0.53/0.73 P_meet-{F}(V0,V1,V0), P_meet-{F}(V0,V2,V0), P_join-{F}(V3,V0,V2), P_meet-{F}(V0,V4,V0), P_meet-{F}(V0,V5,V0), P_join-{F}(V6,V0,V5), P_join-{F}(V7,V0,V4), P_join-{F}(V0,V8,V7), P_join-{F}(V0,V9,V7) | P_join-{T}(V0,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #154: exists( #7, #3 ), references = 3, size of lhs = 3:
% 0.53/0.73 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #158: exists( #7, #156 ), references = 1, size of lhs = 7:
% 0.53/0.73 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V6,V7), P_join-{F}(V7,V0,V8), P_join-{F}(V8,V0,V9), V9 == V0 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #160: exists( #7, #157 ), references = 2, size of lhs = 6:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #166: exists( #7, #164 ), references = 1, size of lhs = 10:
% 0.53/0.73 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,V4), P_meet-{F}(V0,V5,V2), P_join-{F}(V6,V0,V4), P_join-{F}(V0,V7,V8), P_join-{F}(V9,V0,V10) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #171: exists( #7, #169 ), references = 1, size of lhs = 6:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V2,V0), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V4,V2), P_join-{F}(V5,V0,V2) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #173: exists( #7, #170 ), references = 1, size of lhs = 5:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V2,V2,V0), P_join-{F}(V0,V3,V2), P_join-{F}(V4,V0,V2) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #175: exists( #6, #4 ), references = 4, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #180: exists( #7, #176 ), references = 1, size of lhs = 7:
% 0.53/0.73 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5), P_join-{F}(V0,V6,V7), P_meet-{F}(V7,V0,V8), P_meet-{F}(V8,V0,V9), V9 == V0 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #181: exists( #7, #177 ), references = 1, size of lhs = 8:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V3,V5,V6), P_join-{F}(V1,V7,V8), P_meet-{F}(V8,V0,V9), P_meet-{F}(V9,V1,V10), V10 == V1 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #184: exists( #6, #178 ), references = 1, size of lhs = 6:
% 0.53/0.73 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
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #185: exists( #6, #179 ), references = 1, size of lhs = 7:
% 0.53/0.73 P_meet-{F}(V0,V0,V1), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V1,V6,V7), P_meet-{F}(V7,V0,V8), P_meet-{F}(V8,V1,V9), V9 == V1 | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #200: exists( #6, #194 ), references = 1, size of lhs = 3:
% 0.53/0.73 P_meet-{F}(V0,V0,V0), P_meet-{F}(V0,V1,V0), P_meet-{F}(V2,V0,V0) | P_join-{T}(V0,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #207: exists( #7, #205 ), references = 2, size of lhs = 12:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V0,V5,V3), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_meet-{F}(V6,V9,V3), P_meet-{F}(V9,V10,V3), P_join-{F}(V11,V9,V10), P_join-{F}(V0,V12,V13), P_join-{F}(V14,V0,V15) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #210: exists( #6, #208 ), references = 1, size of lhs = 13:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V0,V5,V3), P_meet-{F}(V6,V6,V3), P_meet-{F}(V7,V6,V3), P_meet-{F}(V7,V8,V3), P_join-{F}(V7,V8,V9), P_meet-{F}(V6,V10,V11), P_meet-{F}(V12,V6,V13), P_join-{F}(V0,V14,V15), P_join-{F}(V16,V0,V17) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #213: exists( #7, #211 ), references = 1, size of lhs = 14:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V0,V5,V3), P_meet-{F}(V6,V6,V3), P_meet-{F}(V7,V6,V3), P_meet-{F}(V7,V8,V3), P_join-{F}(V7,V8,V9), P_join-{F}(V6,V10,V11), P_join-{F}(V12,V6,V13), P_meet-{F}(V6,V14,V15), P_join-{F}(V0,V16,V17), P_join-{F}(V18,V0,V19) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #216: mergings( V2 == V3; #214 ), references = 1, size of lhs = 6:
% 0.53/0.73 P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5), P_join-{F}(V0,V6,V7), P_join-{F}(V8,V0,V9) | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #218: exists( #6, #214 ), references = 2, size of lhs = 1:
% 0.53/0.73 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 #228: exists( #8, #222 ), references = 1, size of lhs = 0:
% 0.53/0.73 FALSE | FALSE
% 0.53/0.73 (used 0 times, uses = {})
% 0.53/0.73
% 0.53/0.73 number of learnt formulas = 45
% 0.53/0.73
% 0.53/0.73
% 0.53/0.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73
% 0.53/0.73 randbase = 1
%------------------------------------------------------------------------------