TSTP Solution File: LAT026-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT026-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 1.79s 2.04s
% Output : Refutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT026-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 20:20:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/2.04 GeoParameters:
% 1.79/2.04
% 1.79/2.04 tptp_input = 1
% 1.79/2.04 tptp_output = 0
% 1.79/2.04 nonempty = 1
% 1.79/2.04 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/2.04 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.79/2.04
% 1.79/2.04
% 1.79/2.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/2.04 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/2.04
% 1.79/2.04 RuleSystem INPUT:
% 1.79/2.04
% 1.79/2.04 Initial Rules:
% 1.79/2.04 #0: input, references = 4, size of lhs = 2:
% 1.79/2.04 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #1: input, references = 4, size of lhs = 2:
% 1.79/2.04 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #2: input, references = 6, size of lhs = 3:
% 1.79/2.04 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #3: input, references = 4, size of lhs = 3:
% 1.79/2.04 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #4: input, references = 4, size of lhs = 5:
% 1.79/2.04 P_join-{F}(V0,V1,V3), P_join-{F}(V2,V1,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6), V6 == V1 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #5: input, references = 4, size of lhs = 5:
% 1.79/2.04 P_meet-{F}(V0,V1,V3), P_meet-{F}(V2,V1,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V1,V6), V6 == V1 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #6: input, references = 4, size of lhs = 4:
% 1.79/2.04 P_join-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), V5 == V0 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #7: input, references = 10, size of lhs = 7:
% 1.79/2.04 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
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #8: input, references = 20, size of lhs = 2:
% 1.79/2.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #9: input, references = 6, size of lhs = 2:
% 1.79/2.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #10: input, references = 4, size of lhs = 0:
% 1.79/2.04 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #11: input, references = 4, size of lhs = 0:
% 1.79/2.04 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #12: input, references = 5, size of lhs = 0:
% 1.79/2.04 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 number of initial rules = 13
% 1.79/2.04
% 1.79/2.04 Simplifiers:
% 1.79/2.04 #13: unsound, references = 3, size of lhs = 3:
% 1.79/2.04 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #14: unsound, references = 3, size of lhs = 3:
% 1.79/2.04 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #15: unsound, references = 3, size of lhs = 3:
% 1.79/2.04 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #16: unsound, references = 3, size of lhs = 3:
% 1.79/2.04 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #17: unsound, references = 3, size of lhs = 3:
% 1.79/2.04 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 number of simplifiers = 5
% 1.79/2.04
% 1.79/2.04 Learnt:
% 1.79/2.04 #19: exists( #8, #0 ), references = 1, size of lhs = 1:
% 1.79/2.04 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #21: exists( #9, #1 ), references = 14, size of lhs = 1:
% 1.79/2.04 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #23: exists( #8, #2 ), references = 21, size of lhs = 1:
% 1.79/2.04 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #26: exists( #9, #3 ), references = 8, size of lhs = 1:
% 1.79/2.04 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #29: exists( #9, #27 ), references = 31, size of lhs = 3:
% 1.79/2.04 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V1,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V1,V5,V1)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #31: exists( #8, #4 ), references = 9, size of lhs = 3:
% 1.79/2.04 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V1,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V1,V1)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #37: exists( #8, #35 ), references = 1, size of lhs = 5:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0), P_c-{F}(V2) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #39: exists( #12, #36 ), references = 1, size of lhs = 4:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_meet-{F}(V1,V1,V0) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #47: exists( #8, #6 ), references = 9, size of lhs = 2:
% 1.79/2.04 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4) | P_meet-{T}(V0,V4,V0)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #62: exists( #8, #60 ), references = 1, size of lhs = 3:
% 1.79/2.04 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #78: exists( #8, #76 ), references = 1, size of lhs = 5:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V1,V2,V1), P_join-{F}(V3,V0,V2) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #103: exists( #8, #101 ), references = 5, size of lhs = 4:
% 1.79/2.04 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V5,V4,V3), P_join-{F}(V6,V4,V1) | P_meet-{T}(V3,V1,V4)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #116: exists( #8, #114 ), references = 1, size of lhs = 6:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V4,V0,V2), P_join-{F}(V5,V3,V1) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #121: exists( #8, #119 ), references = 1, size of lhs = 4:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V3,V0,V2) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #137: exists( #8, #135 ), references = 1, size of lhs = 10:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V2,V0,V4), P_join-{F}(V5,V4,V2), P_join-{F}(V6,V6,V4), P_join-{F}(V7,V6,V0), P_join-{F}(V8,V6,V1) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #151: exists( #8, #149 ), references = 1, size of lhs = 5:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V1,V2,V1), P_join-{F}(V3,V1,V2) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #214: exists( #8, #212 ), references = 2, size of lhs = 4:
% 1.79/2.04 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V4,V1,V5), P_join-{F}(V6,V4,V3) | P_meet-{T}(V3,V1,V5)
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #236: exists( #8, #234 ), references = 1, size of lhs = 17:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V5,V4,V6), P_join-{F}(V7,V2,V6), P_meet-{F}(V8,V6,V4), P_meet-{F}(V6,V9,V2), P_join-{F}(V10,V4,V11), P_meet-{F}(V0,V11,V12), P_join-{F}(V13,V12,V0), P_join-{F}(V14,V12,V3), P_join-{F}(V15,V12,V8), P_join-{F}(V16,V12,V9), P_meet-{F}(V3,V17,V12), P_join-{F}(V18,V2,V17) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #242: exists( #8, #240 ), references = 1, size of lhs = 13:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V1,V2,V3), P_join-{F}(V4,V3,V1), P_meet-{F}(V2,V0,V5), P_join-{F}(V6,V5,V0), P_join-{F}(V7,V5,V2), P_join-{F}(V8,V5,V0), P_meet-{F}(V9,V1,V3), P_join-{F}(V10,V5,V9), P_meet-{F}(V0,V11,V5), P_join-{F}(V12,V3,V11) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #248: exists( #8, #246 ), references = 1, size of lhs = 9:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V2,V0,V3), P_meet-{F}(V0,V2,V3), P_join-{F}(V4,V3,V0), P_join-{F}(V5,V3,V2), P_join-{F}(V6,V3,V0), P_join-{F}(V7,V3,V2) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #254: exists( #8, #252 ), references = 1, size of lhs = 3:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #256: exists( #12, #253 ), references = 1, size of lhs = 2:
% 1.79/2.04 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #258: exists( #11, #255 ), references = 1, size of lhs = 1:
% 1.79/2.04 P_a-{F}(V0) | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 #260: exists( #10, #257 ), references = 1, size of lhs = 0:
% 1.79/2.04 FALSE | FALSE
% 1.79/2.04 (used 0 times, uses = {})
% 1.79/2.04
% 1.79/2.04 number of learnt formulas = 24
% 1.79/2.04
% 1.79/2.04
% 1.79/2.04 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/2.04
% 1.79/2.04 randbase = 1
%------------------------------------------------------------------------------