TSTP Solution File: LAT006-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:46 EDT 2022
% Result : Unsatisfiable 34.32s 34.50s
% Output : Refutation 34.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 20:30:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 34.32/34.50 GeoParameters:
% 34.32/34.50
% 34.32/34.50 tptp_input = 1
% 34.32/34.50 tptp_output = 0
% 34.32/34.50 nonempty = 1
% 34.32/34.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.32/34.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 34.32/34.50
% 34.32/34.50
% 34.32/34.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.32/34.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.32/34.50
% 34.32/34.50 RuleSystem INPUT:
% 34.32/34.50
% 34.32/34.50 Initial Rules:
% 34.32/34.50 #0: input, references = 5, size of lhs = 3:
% 34.32/34.50 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #1: input, references = 11, size of lhs = 6:
% 34.32/34.50 P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V2,V0,V5), P_meet-{F}(V1,V0,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #2: input, references = 11, size of lhs = 7:
% 34.32/34.50 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V2,V3,V6), P_meet-{F}(V1,V3,V5), P_meet-{F}(V0,V5,V6) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #3: input, references = 23, size of lhs = 2:
% 34.32/34.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #4: input, references = 21, size of lhs = 2:
% 34.32/34.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #5: input, references = 4, size of lhs = 0:
% 34.32/34.50 FALSE | EXISTS V0: P_a-{T}(V0)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #6: input, references = 4, size of lhs = 0:
% 34.32/34.50 FALSE | EXISTS V0: P_b-{T}(V0)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #7: input, references = 5, size of lhs = 0:
% 34.32/34.50 FALSE | EXISTS V0: P_c-{T}(V0)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 number of initial rules = 8
% 34.32/34.50
% 34.32/34.50 Simplifiers:
% 34.32/34.50 #8: unsound, references = 3, size of lhs = 3:
% 34.32/34.50 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #9: unsound, references = 3, size of lhs = 3:
% 34.32/34.50 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #10: unsound, references = 3, size of lhs = 3:
% 34.32/34.50 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #11: unsound, references = 3, size of lhs = 3:
% 34.32/34.50 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #12: unsound, references = 3, size of lhs = 3:
% 34.32/34.50 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 number of simplifiers = 5
% 34.32/34.50
% 34.32/34.50 Learnt:
% 34.32/34.50 #14: exists( #3, #1 ), references = 47, size of lhs = 4:
% 34.32/34.50 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V3,V5), P_join-{F}(V4,V5,V6) | P_meet-{T}(V3,V2,V6)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #17: exists( #4, #15 ), references = 58, size of lhs = 4:
% 34.32/34.50 P_join-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V3,V5), P_join-{F}(V3,V6,V2) | P_join-{T}(V4,V5,V3)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #25: mergings( V3 == V4, V5 == V7; #22 ), references = 2, size of lhs = 5:
% 34.32/34.50 P_join-{F}(V0,V0,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V4,V4,V3), P_meet-{F}(V3,V1,V5), V5 == V1 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #29: mergings( V3 == V4; #27 ), references = 1, size of lhs = 3:
% 34.32/34.50 P_meet-{F}(V0,V0,V1), V1 == V0, P_meet-{F}(V2,V0,V1) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #31: exists( #3, #27 ), references = 31, size of lhs = 1:
% 34.32/34.50 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #38: mergings( V1 == V0; #35 ), references = 30, size of lhs = 1:
% 34.32/34.50 P_meet-{F}(V0,V0,V0) | P_join-{T}(V0,V0,V0)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #44: exists( #3, #25 ), references = 32, size of lhs = 3:
% 34.32/34.50 P_join-{F}(V0,V0,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V4,V4,V3) | P_meet-{T}(V3,V1,V1)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #54: mergings( V9 == V0; #51 ), references = 3, size of lhs = 10:
% 34.32/34.50 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_b-{F}(V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V2,V4,V5), P_join-{F}(V6,V6,V5), P_meet-{F}(V7,V0,V6) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #57: mergings( V4 == V0, V5 == V1; #52 ), references = 16, size of lhs = 6:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V1,V1), P_meet-{F}(V1,V0,V2), P_meet-{F}(V0,V1,V3), P_join-{F}(V1,V3,V4), P_join-{F}(V4,V0,V5) | P_join-{T}(V0,V1,V5)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #63: mergings( V1 == V5; #61 ), references = 2, size of lhs = 6:
% 34.32/34.50 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_c-{F}(V2), P_join-{F}(V3,V3,V2) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #67: exists( #7, #65 ), references = 1, size of lhs = 4:
% 34.32/34.50 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #77: mergings( V1 == V10, V6 == V8; #74 ), references = 1, size of lhs = 13:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_join-{F}(V1,V1,V1), P_b-{F}(V2), P_c-{F}(V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V3,V3,V1), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V2), P_meet-{F}(V0,V4,V3), P_meet-{F}(V4,V0,V5), P_join-{F}(V0,V5,V6), P_join-{F}(V7,V7,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #82: mergings( V4 == V0; #80 ), references = 2, size of lhs = 7:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V2), P_meet-{F}(V3,V4,V2), P_meet-{F}(V5,V4,V0), P_join-{F}(V5,V3,V6), P_meet-{F}(V4,V6,V7), V7 == V0 | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #88: mergings( V3 == V0; #86 ), references = 27, size of lhs = 4:
% 34.32/34.50 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V1,V2,V2) | P_meet-{T}(V0,V2,V0)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #94: mergings( V1 == V6; #92 ), references = 19, size of lhs = 9:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V1,V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V4,V1,V5), P_meet-{F}(V5,V6,V4), P_meet-{F}(V1,V6,V1), P_meet-{F}(V6,V1,V7) | P_join-{T}(V4,V1,V7)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #105: exists( #3, #103 ), references = 1, size of lhs = 7:
% 34.32/34.50 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_meet-{F}(V1,V1,V1), P_meet-{F}(V2,V1,V1), P_join-{F}(V2,V0,V3), P_join-{F}(V1,V4,V3) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #134: mergings( V0 == V12, V12 == V6, V3 == V5, V8 == V9; #129 ), references = 1, size of lhs = 18:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_b-{F}(V2), P_c-{F}(V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V2,V2,V2), P_join-{F}(V0,V0,V2), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V1,V1), P_meet-{F}(V0,V4,V3), P_meet-{F}(V4,V4,V4), P_meet-{F}(V4,V0,V5), P_join-{F}(V4,V6,V4), P_join-{F}(V7,V7,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #141: mergings( V0 == V8, V3 == V5; #138 ), references = 1, size of lhs = 14:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_b-{F}(V2), P_c-{F}(V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V2,V2,V2), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V1,V1), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V5,V5,V3) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #145: mergings( V7 == V10, V4 == V6; #142 ), references = 1, size of lhs = 14:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_b-{F}(V2), P_c-{F}(V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V2,V2,V2), P_join-{F}(V0,V0,V2), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V1,V1), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V5,V5,V3) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #192: mergings( V5 == V0, V6 == V8, V8 == V7, V7 == V4; #186 ), references = 1, size of lhs = 13:
% 34.32/34.50 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_c-{F}(V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V0,V2), P_meet-{F}(V0,V3,V2), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V4,V3) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #197: mergings( V6 == V0, V7 == V9, V9 == V8, V8 == V5; #187 ), references = 1, size of lhs = 14:
% 34.32/34.50 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_c-{F}(V0), P_join-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_join-{F}(V2,V2,V0), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V0,V3), P_meet-{F}(V0,V4,V3), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V5,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #218: exists( #3, #214 ), references = 3, size of lhs = 8:
% 34.32/34.50 P_a-{F}(V0), P_c-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V2,V2,V0), P_b-{F}(V3), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V5,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #219: exists( #3, #215 ), references = 3, size of lhs = 9:
% 34.32/34.50 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_c-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V2,V2,V0), P_b-{F}(V3), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V5,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #234: mergings( V1 == V8, V4 == V6; #230 ), references = 1, size of lhs = 11:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V0,V3,V1), P_meet-{F}(V3,V3,V3), P_meet-{F}(V3,V0,V4), P_join-{F}(V0,V4,V5) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #237: mergings( V1 == V8, V4 == V6; #231 ), references = 1, size of lhs = 11:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V0,V3,V1), P_meet-{F}(V3,V3,V3), P_meet-{F}(V3,V0,V4), P_join-{F}(V0,V4,V5) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #280: mergings( V0 == V11, V11 == V6; #276 ), references = 1, size of lhs = 19:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V0,V3), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V4), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V1,V1), P_meet-{F}(V0,V5,V4), P_meet-{F}(V5,V5,V5), P_meet-{F}(V5,V0,V6), P_join-{F}(V5,V7,V5), P_join-{F}(V8,V8,V5) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #283: mergings( V0 == V11, V11 == V6; #277 ), references = 1, size of lhs = 19:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V0,V3), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V4), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V1,V1), P_meet-{F}(V0,V5,V4), P_meet-{F}(V5,V5,V5), P_meet-{F}(V5,V0,V6), P_join-{F}(V5,V7,V5), P_join-{F}(V8,V8,V5) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #293: mergings( V0 == V8; #290 ), references = 1, size of lhs = 15:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V0,V3), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V1,V1), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V5,V4), P_join-{F}(V6,V6,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #295: mergings( V0 == V8; #291 ), references = 1, size of lhs = 15:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V0,V3), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V1,V1), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V5,V4), P_join-{F}(V6,V6,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #299: mergings( V7 == V10; #296 ), references = 1, size of lhs = 15:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V0,V3), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V1,V1), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V5,V4), P_join-{F}(V6,V6,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #301: mergings( V7 == V10; #297 ), references = 1, size of lhs = 15:
% 34.32/34.50 P_meet-{F}(V0,V0,V0), P_a-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_b-{F}(V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V0,V3), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V1,V1), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V5,V4), P_join-{F}(V6,V6,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #318: exists( #4, #1 ), references = 9, size of lhs = 4:
% 34.32/34.50 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V3,V5), P_meet-{F}(V0,V3,V6) | P_join-{T}(V5,V6,V4)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #324: exists( #3, #322 ), references = 4, size of lhs = 6:
% 34.32/34.50 P_join-{F}(V0,V0,V1), P_join-{F}(V0,V2,V1), P_meet-{F}(V2,V3,V4), P_meet-{F}(V5,V1,V4), P_join-{F}(V3,V5,V6), P_meet-{F}(V1,V6,V7) | P_meet-{T}(V0,V3,V7)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #346: mergings( V12 == V0; #344 ), references = 2, size of lhs = 13:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_join-{F}(V0,V2,V1), P_b-{F}(V3), P_meet-{F}(V0,V3,V4), P_c-{F}(V5), P_meet-{F}(V4,V5,V6), P_meet-{F}(V3,V5,V7), P_meet-{F}(V2,V7,V8), P_meet-{F}(V9,V9,V9), P_meet-{F}(V1,V9,V6), P_meet-{F}(V9,V1,V8), P_meet-{F}(V10,V9,V7) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #354: mergings( V8 == V7; #352 ), references = 2, size of lhs = 16:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V2,V2,V6), P_meet-{F}(V1,V6,V5), P_meet-{F}(V6,V6,V6), P_meet-{F}(V6,V1,V7), P_join-{F}(V7,V7,V7), P_meet-{F}(V7,V7,V7), P_join-{F}(V0,V7,V1), P_join-{F}(V2,V8,V6), P_meet-{F}(V8,V4,V9), P_meet-{F}(V9,V7,V7) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #373: exists( #3, #369 ), references = 3, size of lhs = 11:
% 34.32/34.50 P_meet-{F}(V0,V1,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V1,V4,V3), P_join-{F}(V2,V2,V5), P_join-{F}(V2,V6,V5), P_meet-{F}(V6,V1,V7), P_meet-{F}(V8,V1,V7), P_meet-{F}(V9,V5,V8), P_join-{F}(V9,V1,V10), P_meet-{F}(V5,V10,V11), P_meet-{F}(V1,V11,V12) | P_meet-{T}(V2,V1,V12)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #374: exists( #3, #370 ), references = 1, size of lhs = 14:
% 34.32/34.50 P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_meet-{F}(V2,V3,V3), P_meet-{F}(V4,V3,V1), P_meet-{F}(V5,V3,V0), P_join-{F}(V2,V6,V7), P_join-{F}(V3,V8,V7), P_join-{F}(V6,V4,V9), P_join-{F}(V6,V6,V9), P_meet-{F}(V10,V9,V5), P_join-{F}(V10,V3,V11), P_meet-{F}(V9,V11,V12), P_meet-{F}(V3,V12,V13) | P_meet-{T}(V6,V3,V13)
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #471: mergings( V7 == V8, V13 == V16, V17 == V6; #467 ), references = 1, size of lhs = 33:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V5,V5), P_join-{F}(V0,V5,V1), P_join-{F}(V5,V5,V5), P_join-{F}(V6,V6,V4), P_join-{F}(V2,V2,V7), P_join-{F}(V7,V0,V8), P_meet-{F}(V8,V8,V8), P_join-{F}(V4,V8,V8), P_join-{F}(V9,V9,V7), P_join-{F}(V7,V7,V10), P_meet-{F}(V1,V10,V11), P_meet-{F}(V11,V4,V5), P_join-{F}(V10,V12,V7), P_join-{F}(V2,V13,V7), P_meet-{F}(V13,V4,V14), P_meet-{F}(V14,V5,V5), P_join-{F}(V15,V15,V11), P_join-{F}(V15,V5,V11), P_meet-{F}(V16,V1,V15), P_meet-{F}(V17,V10,V16), P_meet-{F}(V18,V7,V17), P_join-{F}(V18,V4,V19), P_join-{F}(V7,V20,V19), P_meet-{F}(V21,V11,V5), P_meet-{F}(V22,V4,V21), P_join-{F}(V22,V2,V23), P_join-{F}(V4,V24,V23) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #500: exists( #3, #498 ), references = 2, size of lhs = 16:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V4,V4,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V1,V4,V5), P_meet-{F}(V4,V1,V6), P_join-{F}(V6,V6,V6), P_meet-{F}(V6,V6,V6), P_join-{F}(V0,V6,V1), P_join-{F}(V2,V2,V7), P_join-{F}(V2,V8,V7), P_meet-{F}(V8,V4,V9), P_meet-{F}(V9,V6,V6) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #579: mergings( V20 == V21, V9 == V10, V13 == V14, V0 == V24, V17 == V24, V11 == V24, V18 == V10; #571 ), references = 1, size of lhs = 29:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V2,V4,V6), P_meet-{F}(V6,V6,V6), P_join-{F}(V6,V6,V6), P_join-{F}(V0,V7,V1), P_join-{F}(V7,V7,V8), P_join-{F}(V7,V9,V8), P_meet-{F}(V9,V6,V10), P_meet-{F}(V11,V11,V11), P_join-{F}(V11,V11,V11), P_meet-{F}(V11,V8,V10), P_meet-{F}(V8,V11,V12), P_join-{F}(V12,V12,V5), P_meet-{F}(V13,V13,V13), P_meet-{F}(V14,V14,V14), P_meet-{F}(V14,V1,V7), P_meet-{F}(V1,V14,V8), P_join-{F}(V14,V0,V13), P_join-{F}(V14,V13,V13), P_meet-{F}(V11,V14,V6), P_meet-{F}(V14,V11,V6), P_join-{F}(V14,V14,V14), P_join-{F}(V14,V15,V14), P_join-{F}(V16,V16,V14) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #591: mergings( V0 == V15, V18 == V14, V8 == V9, V11 == V10, V10 == V6; #585 ), references = 1, size of lhs = 27:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V5,V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V2,V1,V6), P_join-{F}(V0,V6,V1), P_meet-{F}(V1,V2,V7), P_join-{F}(V6,V6,V7), P_meet-{F}(V4,V7,V5), P_join-{F}(V6,V5,V7), P_meet-{F}(V7,V4,V5), P_join-{F}(V2,V8,V2), P_meet-{F}(V8,V4,V9), P_meet-{F}(V9,V5,V5), P_join-{F}(V2,V0,V10), P_meet-{F}(V10,V10,V10), P_join-{F}(V2,V10,V10), P_join-{F}(V2,V11,V2), P_join-{F}(V12,V12,V2) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #617: mergings( V5 == V14, V14 == V16, V1 == V24, V21 == V23, V25 == V13, V10 == V0, V11 == V18, V18 == V19, V20 == V0, V0 == V9, V12 == V19, V8 == V19; #604 ), references = 1, size of lhs = 33:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V0,V2,V3), P_c-{F}(V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V5,V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V2,V1,V6), P_join-{F}(V0,V6,V1), P_meet-{F}(V1,V2,V6), P_join-{F}(V6,V2,V2), P_join-{F}(V6,V6,V6), P_meet-{F}(V4,V6,V5), P_meet-{F}(V6,V4,V5), P_meet-{F}(V6,V6,V6), P_join-{F}(V2,V0,V7), P_meet-{F}(V7,V7,V7), P_join-{F}(V2,V7,V7), P_join-{F}(V8,V8,V2), P_join-{F}(V2,V9,V2), P_join-{F}(V6,V10,V6), P_join-{F}(V11,V11,V6), P_join-{F}(V12,V12,V5), P_meet-{F}(V13,V13,V13), P_join-{F}(V13,V13,V4), P_meet-{F}(V13,V6,V5), P_meet-{F}(V6,V13,V12), P_join-{F}(V14,V14,V13) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #628: mergings( V5 == V8, V0 == V12, V1 == V16, V8 == V10, V17 == V7, V12 == V6; #621 ), references = 1, size of lhs = 23:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V1,V3), P_join-{F}(V0,V3,V1), P_join-{F}(V3,V2,V2), P_join-{F}(V3,V3,V3), P_meet-{F}(V1,V2,V3), P_meet-{F}(V3,V3,V3), P_c-{F}(V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V4,V4,V4), P_join-{F}(V2,V0,V5), P_meet-{F}(V5,V5,V5), P_join-{F}(V2,V5,V5), P_join-{F}(V6,V6,V2), P_join-{F}(V2,V7,V2), P_join-{F}(V3,V8,V3), P_join-{F}(V9,V9,V3), P_join-{F}(V10,V10,V4) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #642: mergings( V1 == V10, V5 == V7, V7 == V14, V8 == V18, V10 == V12, V14 == V9; #635 ), references = 2, size of lhs = 23:
% 34.32/34.50 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V1), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V2,V0,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V2,V5), P_meet-{F}(V2,V1,V5), P_join-{F}(V0,V5,V1), P_join-{F}(V5,V2,V2), P_join-{F}(V5,V5,V5), P_meet-{F}(V1,V2,V5), P_meet-{F}(V5,V5,V5), P_c-{F}(V6), P_join-{F}(V6,V6,V6), P_meet-{F}(V6,V6,V6), P_join-{F}(V7,V7,V2), P_join-{F}(V2,V8,V2), P_join-{F}(V5,V9,V5), P_join-{F}(V10,V10,V5), P_join-{F}(V11,V11,V6) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #668: mergings( V1 == V5, V6 == V10, V7 == V9, V13 == V0, V0 == V3, V10 == V11, V9 == V12, V11 == V12; #658 ), references = 1, size of lhs = 13:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V1,V1,V0), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_c-{F}(V3), P_meet-{F}(V2,V0,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V2,V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V0,V4,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #678: mergings( V7 == V10, V1 == V4, V5 == V8, V9 == V13, V12 == V0, V0 == V3, V8 == V10, V10 == V11, V11 == V13; #659 ), references = 1, size of lhs = 14:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_join-{F}(V1,V1,V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V3), P_meet-{F}(V3,V3,V3), P_meet-{F}(V1,V0,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V4,V0), P_join-{F}(V5,V5,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #716: mergings( V4 == V5, V5 == V13, V0 == V14, V14 == V12, V12 == V3; #710 ), references = 1, size of lhs = 20:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V3,V3,V1), P_join-{F}(V1,V4,V1), P_join-{F}(V5,V5,V2), P_meet-{F}(V0,V1,V6), P_meet-{F}(V6,V6,V6), P_meet-{F}(V1,V0,V6), P_join-{F}(V6,V6,V6), P_join-{F}(V6,V7,V6), P_join-{F}(V8,V8,V6), P_join-{F}(V0,V9,V0), P_join-{F}(V10,V10,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #722: mergings( V0 == V7; #720 ), references = 1, size of lhs = 14:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2), P_join-{F}(V3,V3,V1), P_join-{F}(V1,V4,V1), P_join-{F}(V5,V5,V2), P_join-{F}(V0,V6,V0), P_join-{F}(V7,V7,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #727: mergings( V1 == V5; #725 ), references = 1, size of lhs = 10:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_join-{F}(V2,V2,V1), P_join-{F}(V1,V3,V1), P_join-{F}(V0,V4,V0), P_join-{F}(V5,V5,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #732: mergings( V1 == V2; #730 ), references = 1, size of lhs = 5:
% 34.32/34.50 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V1,V0), P_join-{F}(V2,V2,V0) | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 #736: exists( #5, #734 ), references = 1, size of lhs = 0:
% 34.32/34.50 FALSE | FALSE
% 34.32/34.50 (used 0 times, uses = {})
% 34.32/34.50
% 34.32/34.50 number of learnt formulas = 51
% 34.32/34.50
% 34.32/34.50
% 34.32/34.50 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.32/34.50
% 34.32/34.50 randbase = 1
%------------------------------------------------------------------------------