%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO024-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:01:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO024-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 17:54:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 GeoParameters:
% 0.19/0.49
% 0.19/0.49 tptp_input = 1
% 0.19/0.49 tptp_output = 0
% 0.19/0.49 nonempty = 1
% 0.19/0.49 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 RuleSystem INPUT:
% 0.19/0.49
% 0.19/0.49 Initial Rules:
% 0.19/0.49 #0: input, references = 3, size of lhs = 2:
% 0.19/0.49 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #1: input, references = 4, size of lhs = 2:
% 0.19/0.49 equidistant-{F}(V5,V4,V0,V1), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V0,V1,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #2: input, references = 4, size of lhs = 2:
% 0.19/0.49 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #3: input, references = 3, size of lhs = 1:
% 0.19/0.49 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #4: input, references = 6, size of lhs = 1:
% 0.19/0.49 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #5: input, references = 3, size of lhs = 7:
% 0.19/0.49 equidistant-{F}(V0,V1,V3,V2), equidistant-{F}(V0,V5,V3,V4), equidistant-{F}(V1,V5,V2,V4), between-{F}(V3,V2,V6), equidistant-{F}(V1,V7,V2,V6), between-{F}(V0,V1,V7), V0 == V1 | equidistant-{T}(V7,V5,V6,V4)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #6: input, references = 3, size of lhs = 2:
% 0.19/0.49 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #7: input, references = 3, size of lhs = 3:
% 0.19/0.49 between-{F}(V2,V0,V1), P_inner_pasch-{F}(V2,V0,V1,V4,V3,V5), between-{F}(V3,V4,V1) | between-{T}(V0,V5,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #8: input, references = 3, size of lhs = 3:
% 0.19/0.49 between-{F}(V2,V0,V1), P_inner_pasch-{F}(V2,V0,V1,V4,V3,V5), between-{F}(V3,V4,V1) | between-{T}(V4,V5,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #9: input, references = 3, size of lhs = 4:
% 0.19/0.49 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
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #10: input, references = 3, size of lhs = 4:
% 0.19/0.49 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
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #11: input, references = 3, size of lhs = 4:
% 0.19/0.49 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
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #12: input, references = 3, size of lhs = 7:
% 0.19/0.49 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)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #13: input, references = 3, size of lhs = 7:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V4,V3,V5), P_euclid1-{F}(V4,V6,V3,V7,V5,V8), between-{F}(V6,V3,V7), V4 == V3 | between-{T}(V4,V6,V8)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #14: input, references = 3, size of lhs = 7:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V4,V3,V5), P_euclid2-{F}(V4,V6,V3,V7,V5,V8), between-{F}(V6,V3,V7), V4 == V3 | between-{T}(V4,V7,V8)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #15: input, references = 3, size of lhs = 8:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V4,V3,V5), P_euclid1-{F}(V4,V6,V3,V7,V5,V8), P_euclid2-{F}(V4,V6,V3,V7,V5,V9), between-{F}(V6,V3,V7), V4 == V3 | between-{T}(V8,V5,V9)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #16: input, references = 3, size of lhs = 8:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V5,V3,V5,V4), between-{F}(V5,V3,V6), equidistant-{F}(V5,V6,V5,V7), P_continuous-{F}(V5,V3,V4,V8,V6,V7,V9), between-{F}(V3,V8,V6) | between-{T}(V4,V9,V7)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #17: input, references = 3, size of lhs = 8:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V5,V3,V5,V4), between-{F}(V5,V3,V6), equidistant-{F}(V5,V6,V5,V7), P_continuous-{F}(V5,V3,V4,V8,V6,V7,V9), between-{F}(V3,V8,V6) | equidistant-{T}(V5,V8,V5,V9)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #18: input, references = 4, size of lhs = 6:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_u-{F}(V3), P_v-{F}(V4), equidistant-{F}(V3,V3,V4,V4) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #19: input, references = 4, size of lhs = 4:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #20: input, references = 3, size of lhs = 5:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_inner_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #21: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #22: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #23: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #24: input, references = 3, size of lhs = 5:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #25: input, references = 3, size of lhs = 5:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #26: input, references = 3, size of lhs = 6:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #27: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_u-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #28: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_v-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of initial rules = 29
% 0.19/0.49
% 0.19/0.49 Simplifiers:
% 0.19/0.49 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_inner_pasch-{F}(V0,V1,V2,V3,V4,V5), P_inner_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of simplifiers = 10
% 0.19/0.49
% 0.19/0.49 Learnt:
% 0.19/0.49 #41: exists( #19, #39 ), references = 3, size of lhs = 3:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2 | P_extension-{T}(V0,V1,V2,V2,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #46: exists( #28, #44 ), references = 2, size of lhs = 5:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_u-{F}(V3), equidistant-{F}(V4,V4,V3,V3) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #50: exists( #27, #48 ), references = 1, size of lhs = 3:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #52: exists( #23, #49 ), references = 1, size of lhs = 2:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #54: exists( #22, #51 ), references = 1, size of lhs = 1:
% 0.19/0.49 P_lower_dimension_point_1-{F}(V0) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #56: exists( #21, #53 ), references = 1, size of lhs = 0:
% 0.19/0.49 FALSE | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of learnt formulas = 6
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 randbase = 1
%------------------------------------------------------------------------------