TSTP Solution File: GEO001-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 06:01:24 EDT 2022
% Result : Unsatisfiable 9.43s 9.60s
% Output : Refutation 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 18:10:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.43/9.60 GeoParameters:
% 9.43/9.60
% 9.43/9.60 tptp_input = 1
% 9.43/9.60 tptp_output = 0
% 9.43/9.60 nonempty = 1
% 9.43/9.60 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.43/9.60
% 9.43/9.60
% 9.43/9.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.60
% 9.43/9.60 RuleSystem INPUT:
% 9.43/9.60
% 9.43/9.60 Initial Rules:
% 9.43/9.60 #0: input, references = 4, size of lhs = 2:
% 9.43/9.60 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #1: input, references = 3, size of lhs = 2:
% 9.43/9.60 between-{F}(V0,V2,V1), between-{F}(V3,V0,V1) | between-{T}(V3,V0,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #2: input, references = 3, size of lhs = 3:
% 9.43/9.60 between-{F}(V0,V3,V2), between-{F}(V0,V3,V1), V0 == V3 | between-{T}(V0,V2,V1), between-{T}(V0,V1,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #3: input, references = 6, size of lhs = 2:
% 9.43/9.60 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #4: input, references = 5, size of lhs = 2:
% 9.43/9.60 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #5: input, references = 12, size of lhs = 2:
% 9.43/9.60 equidistant-{F}(V5,V4,V1,V0), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V1,V0,V2,V3)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #6: input, references = 4, size of lhs = 3:
% 9.43/9.60 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)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #7: input, references = 4, size of lhs = 3:
% 9.43/9.60 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)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #8: input, references = 3, size of lhs = 4:
% 9.43/9.60 between-{F}(V0,V1,V2), P_euclid1-{F}(V2,V0,V4,V3,V1,V5), between-{F}(V4,V1,V3), V0 == V1 | between-{T}(V0,V3,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #9: input, references = 3, size of lhs = 4:
% 9.43/9.60 between-{F}(V0,V1,V2), P_euclid2-{F}(V2,V0,V4,V3,V1,V5), between-{F}(V4,V1,V3), V0 == V1 | between-{T}(V0,V4,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #10: input, references = 3, size of lhs = 5:
% 9.43/9.60 between-{F}(V0,V1,V2), P_euclid1-{F}(V2,V0,V4,V3,V1,V5), P_euclid2-{F}(V2,V0,V4,V3,V1,V6), between-{F}(V4,V1,V3), V0 == V1 | between-{T}(V5,V2,V6)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #11: input, references = 4, size of lhs = 7:
% 9.43/9.60 equidistant-{F}(V0,V1,V3,V2), between-{F}(V3,V2,V4), equidistant-{F}(V1,V5,V2,V4), between-{F}(V0,V1,V5), equidistant-{F}(V0,V7,V3,V6), equidistant-{F}(V1,V7,V2,V6), V0 == V1 | equidistant-{T}(V5,V7,V4,V6)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #12: input, references = 6, size of lhs = 1:
% 9.43/9.60 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #13: input, references = 5, size of lhs = 1:
% 9.43/9.60 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #14: input, references = 3, size of lhs = 4:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V0,V1,V2) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #15: input, references = 3, size of lhs = 4:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V1,V2,V0) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #16: input, references = 3, size of lhs = 4:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V2,V0,V1) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #17: input, references = 3, size of lhs = 7:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V5,V4,V5,V3), equidistant-{F}(V6,V4,V6,V3), equidistant-{F}(V7,V4,V7,V3), V4 == V3 | between-{T}(V7,V6,V5), between-{T}(V6,V5,V7), between-{T}(V5,V7,V6)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #18: input, references = 3, size of lhs = 8:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V3,V4,V3,V5), between-{F}(V3,V6,V4), equidistant-{F}(V3,V6,V3,V7), P_continuous-{F}(V6,V8,V4,V7,V5,V3,V9), between-{F}(V6,V8,V4) | equidistant-{T}(V3,V8,V3,V9)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #19: input, references = 3, size of lhs = 8:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V3,V4,V3,V5), between-{F}(V3,V6,V4), equidistant-{F}(V3,V6,V3,V7), P_continuous-{F}(V6,V8,V4,V7,V5,V3,V9), between-{F}(V6,V8,V4) | between-{T}(V7,V9,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #20: input, references = 4, size of lhs = 6:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5) | between-{T}(V3,V4,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #21: input, references = 5, size of lhs = 7:
% 9.43/9.60 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), between-{F}(V5,V4,V3) | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #22: input, references = 4, size of lhs = 5:
% 9.43/9.60 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_outer_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #23: input, references = 3, size of lhs = 5:
% 9.43/9.60 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #24: input, references = 3, size of lhs = 5:
% 9.43/9.60 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #25: input, references = 5, size of lhs = 4:
% 9.43/9.60 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #26: input, references = 4, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #27: input, references = 4, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #28: input, references = 4, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #29: input, references = 3, size of lhs = 6:
% 9.43/9.60 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #30: input, references = 4, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: P_a-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #31: input, references = 4, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: P_b-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #32: input, references = 5, size of lhs = 0:
% 9.43/9.60 FALSE | EXISTS V0: P_c-{T}(V0)
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 number of initial rules = 33
% 9.43/9.60
% 9.43/9.60 Simplifiers:
% 9.43/9.60 #33: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 P_outer_pasch-{F}(V0,V1,V2,V3,V4,V5), P_outer_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #34: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 9.43/9.60 (used 0 times, uses = {})
% 9.43/9.60
% 9.43/9.60 #35: unsound, references = 3, size of lhs = 3:
% 9.43/9.60 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #36: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #37: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #38: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #39: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #40: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #41: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #42: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #43: unsound, references = 3, size of lhs = 3:
% 9.43/9.61 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 number of simplifiers = 11
% 9.43/9.61
% 9.43/9.61 Learnt:
% 9.43/9.61 #47: exists( #25, #45 ), references = 3, size of lhs = 3:
% 9.43/9.61 #-{F} V0, #-{F} V1, #-{F} V2 | P_extension-{T}(V0,V1,V2,V2,V1)
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #51: exists( #32, #49 ), references = 1, size of lhs = 5:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_a-{F}(V3), P_b-{F}(V3) | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #80: exists( #25, #78 ), references = 1, size of lhs = 8:
% 9.43/9.61 equidistant-{F}(V0,V1,V0,V1), V0 == V1, between-{F}(V0,V1,V2), equidistant-{F}(V3,V4,V1,V2), equidistant-{F}(V5,V6,V3,V4), equidistant-{F}(V5,V6,V7,V8), equidistant-{F}(V9,V10,V5,V6), equidistant-{F}(V11,V12,V9,V10) | P_extension-{T}(V0,V1,V11,V12,V2)
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #100: exists( #22, #98 ), references = 2, size of lhs = 2:
% 9.43/9.61 between-{F}(V0,V1,V2), between-{F}(V0,V2,V3) | P_outer_pasch-{T}(V1,V0,V0,V3,V2,V0)
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #111: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V9; #106 ), references = 2, size of lhs = 6:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), between-{F}(V3,V4,V4) | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #115: exists( #31, #113 ), references = 1, size of lhs = 4:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_a-{F}(V3) | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #117: exists( #30, #114 ), references = 1, size of lhs = 3:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2) | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #119: exists( #28, #116 ), references = 1, size of lhs = 2:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1) | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #121: exists( #27, #118 ), references = 1, size of lhs = 1:
% 9.43/9.61 P_lower_dimension_point_1-{F}(V0) | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 #123: exists( #26, #120 ), references = 1, size of lhs = 0:
% 9.43/9.61 FALSE | FALSE
% 9.43/9.61 (used 0 times, uses = {})
% 9.43/9.61
% 9.43/9.61 number of learnt formulas = 10
% 9.43/9.61
% 9.43/9.61
% 9.43/9.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/9.61
% 9.43/9.61 randbase = 1
%------------------------------------------------------------------------------