TSTP Solution File: GEO002-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:01:25 EDT 2022
% Result : Unsatisfiable 4.57s 4.75s
% Output : Refutation 4.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:03:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.57/4.75 GeoParameters:
% 4.57/4.75
% 4.57/4.75 tptp_input = 1
% 4.57/4.75 tptp_output = 0
% 4.57/4.75 nonempty = 1
% 4.57/4.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/4.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.57/4.75
% 4.57/4.75
% 4.57/4.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/4.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/4.75
% 4.57/4.75 RuleSystem INPUT:
% 4.57/4.75
% 4.57/4.75 Initial Rules:
% 4.57/4.75 #0: input, references = 53, size of lhs = 2:
% 4.57/4.75 between-{F}(V0,V2,V1), between-{F}(V3,V0,V1) | between-{T}(V3,V0,V2)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1: input, references = 24, size of lhs = 1:
% 4.57/4.75 equidistant-{F}(V0,V1,V2,V2) | equalish-{T}(V0,V1)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #2: input, references = 5, size of lhs = 3:
% 4.57/4.75 between-{F}(V0,V1,V2), P_outer_pasch-{F}(V3,V4,V0,V2,V1,V5), between-{F}(V4,V3,V1) | between-{T}(V4,V5,V0)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #3: input, references = 5, size of lhs = 3:
% 4.57/4.75 between-{F}(V0,V1,V2), P_outer_pasch-{F}(V3,V4,V0,V2,V1,V5), between-{F}(V4,V3,V1) | between-{T}(V2,V3,V5)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #4: input, references = 37, size of lhs = 1:
% 4.57/4.75 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #5: input, references = 24, size of lhs = 1:
% 4.57/4.75 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #6: input, references = 40, size of lhs = 2:
% 4.57/4.75 equalish-{F}(V3,V0), between-{F}(V2,V1,V3) | between-{T}(V2,V1,V0)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #7: input, references = 8, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V0,V0,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #8: input, references = 5, size of lhs = 5:
% 4.57/4.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_outer_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #9: input, references = 27, size of lhs = 4:
% 4.57/4.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #10: input, references = 4, size of lhs = 0:
% 4.57/4.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #11: input, references = 4, size of lhs = 0:
% 4.57/4.75 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 number of initial rules = 12
% 4.57/4.75
% 4.57/4.75 Simplifiers:
% 4.57/4.75 #12: unsound, references = 3, size of lhs = 3:
% 4.57/4.75 P_outer_pasch-{F}(V0,V1,V2,V3,V4,V5), P_outer_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #13: unsound, references = 3, size of lhs = 3:
% 4.57/4.75 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #14: unsound, references = 3, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #15: unsound, references = 3, size of lhs = 3:
% 4.57/4.75 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 number of simplifiers = 4
% 4.57/4.75
% 4.57/4.75 Learnt:
% 4.57/4.75 #20: exists( #9, #18 ), references = 1, size of lhs = 2:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #31: exists( #9, #29 ), references = 4, size of lhs = 4:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V1), between-{F}(V0,V2,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #42: exists( #9, #40 ), references = 1, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V1), between-{F}(V2,V0,V3), between-{F}(V2,V3,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #59: exists( #9, #57 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V1), between-{F}(V2,V0,V3), equalish-{F}(V4,V3), between-{F}(V2,V4,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #92: exists( #8, #90 ), references = 3, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V1), between-{F}(V0,V2,V3), between-{F}(V2,V0,V4), between-{F}(V3,V4,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #104: exists( #9, #102 ), references = 2, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V1), between-{F}(V2,V0,V3), between-{F}(V4,V3,V0), between-{F}(V2,V4,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #134: exists( #9, #130 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), equalish-{F}(V0,V1), P_b-{F}(V2), between-{F}(V3,V3,V3), between-{F}(V3,V0,V1), equalish-{F}(V3,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #135: exists( #9, #131 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), equalish-{F}(V0,V1), P_b-{F}(V2), between-{F}(V0,V3,V3), between-{F}(V3,V0,V1), equalish-{F}(V3,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #140: exists( #9, #138 ), references = 2, size of lhs = 4:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V2,V2,V2), equalish-{F}(V2,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #157: exists( #9, #151 ), references = 1, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #158: exists( #9, #152 ), references = 1, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #222: exists( #9, #220 ), references = 4, size of lhs = 4:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), between-{F}(V2,V1,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #240: exists( #9, #238 ), references = 4, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), between-{F}(V1,V2,V3), between-{F}(V1,V3,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #247: exists( #9, #245 ), references = 3, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V0,V2,V0), between-{F}(V2,V1,V3), between-{F}(V2,V3,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #258: exists( #9, #256 ), references = 2, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0), between-{F}(V3,V2,V3), between-{F}(V3,V1,V4), between-{F}(V3,V4,V3) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #447: exists( #9, #441 ), references = 2, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), between-{F}(V2,V3,V2), equalish-{F}(V3,V4), between-{F}(V1,V4,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #448: exists( #9, #442 ), references = 2, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V1,V2,V1), equalish-{F}(V2,V3), between-{F}(V4,V3,V4), between-{F}(V0,V4,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #449: exists( #9, #443 ), references = 2, size of lhs = 7:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0), between-{F}(V1,V3,V1), equalish-{F}(V3,V4), between-{F}(V5,V2,V5), between-{F}(V5,V4,V5) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #462: exists( #9, #456 ), references = 1, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), equalish-{F}(V2,V3), between-{F}(V1,V3,V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #463: exists( #9, #457 ), references = 1, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V1,V2), between-{F}(V3,V2,V3), between-{F}(V0,V3,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #464: exists( #9, #458 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V1,V3), between-{F}(V4,V2,V4), between-{F}(V4,V3,V4) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #609: exists( #9, #603 ), references = 1, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), equalish-{F}(V3,V1), between-{F}(V2,V3,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #610: exists( #9, #604 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), equalish-{F}(V3,V1), between-{F}(V4,V3,V4), between-{F}(V2,V4,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #611: exists( #9, #605 ), references = 1, size of lhs = 7:
% 4.57/4.75 P_a-{F}(V0), between-{F}(V0,V0,V1), P_b-{F}(V2), equalish-{F}(V3,V1), between-{F}(V4,V3,V4), between-{F}(V4,V2,V5), between-{F}(V4,V5,V4) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #983: exists( #8, #981 ), references = 2, size of lhs = 4:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V1,V0,V2), between-{F}(V1,V2,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #991: exists( #9, #989 ), references = 3, size of lhs = 4:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V1,V2,V0), between-{F}(V0,V2,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1028: exists( #9, #1026 ), references = 4, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0), between-{F}(V3,V2,V3), between-{F}(V0,V3,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1037: exists( #9, #1035 ), references = 3, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V3,V0), between-{F}(V4,V2,V4), between-{F}(V4,V3,V4) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1084: exists( #9, #1080 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), equalish-{F}(V0,V0), P_b-{F}(V1), equalish-{F}(V2,V3), between-{F}(V4,V2,V4), between-{F}(V4,V0,V3) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1085: exists( #9, #1081 ), references = 1, size of lhs = 6:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V3,V4), between-{F}(V5,V3,V5), between-{F}(V5,V2,V4) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1130: exists( #9, #1124 ), references = 1, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), equalish-{F}(V0,V0), P_b-{F}(V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1131: exists( #9, #1125 ), references = 1, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1204: exists( #9, #1202 ), references = 2, size of lhs = 4:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V2,V0,V2), between-{F}(V0,V2,V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1220: exists( #9, #1218 ), references = 3, size of lhs = 3:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), between-{F}(V2,V0,V2) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1259: exists( #9, #1255 ), references = 1, size of lhs = 5:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1), equalish-{F}(V2,V3), between-{F}(V4,V2,V4), between-{F}(V4,V0,V3) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1302: exists( #9, #1297 ), references = 1, size of lhs = 2:
% 4.57/4.75 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1305: exists( #11, #1300 ), references = 1, size of lhs = 1:
% 4.57/4.75 P_a-{F}(V0) | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 #1308: exists( #10, #1303 ), references = 1, size of lhs = 0:
% 4.57/4.75 FALSE | FALSE
% 4.57/4.75 (used 0 times, uses = {})
% 4.57/4.75
% 4.57/4.75 number of learnt formulas = 38
% 4.57/4.75
% 4.57/4.75
% 4.57/4.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/4.75
% 4.57/4.75 randbase = 1
%------------------------------------------------------------------------------