TSTP Solution File: GEO047-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO047-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:01:34 EDT 2022
% Result : Unsatisfiable 258.05s 258.25s
% Output : Refutation 258.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO047-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 17:50:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 258.05/258.25 GeoParameters:
% 258.05/258.25
% 258.05/258.25 tptp_input = 1
% 258.05/258.25 tptp_output = 0
% 258.05/258.25 nonempty = 1
% 258.05/258.25 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 258.05/258.25 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 258.05/258.25
% 258.05/258.25
% 258.05/258.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 258.05/258.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 258.05/258.25
% 258.05/258.25 RuleSystem INPUT:
% 258.05/258.25
% 258.05/258.25 Initial Rules:
% 258.05/258.25 #0: input, references = 25, size of lhs = 2:
% 258.05/258.25 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #1: input, references = 92, size of lhs = 2:
% 258.05/258.25 equidistant-{F}(V5,V4,V0,V1), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V0,V1,V2,V3)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #2: input, references = 9, size of lhs = 2:
% 258.05/258.25 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #3: input, references = 24, size of lhs = 1:
% 258.05/258.25 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #4: input, references = 24, size of lhs = 1:
% 258.05/258.25 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #5: input, references = 9, size of lhs = 7:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #6: input, references = 6, size of lhs = 2:
% 258.05/258.25 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #7: input, references = 22, size of lhs = 3:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #8: input, references = 7, size of lhs = 3:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #9: input, references = 5, size of lhs = 4:
% 258.05/258.25 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
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #10: input, references = 3, size of lhs = 4:
% 258.05/258.25 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
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #11: input, references = 3, size of lhs = 4:
% 258.05/258.25 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
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #12: input, references = 3, size of lhs = 7:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #13: input, references = 3, size of lhs = 7:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #14: input, references = 4, size of lhs = 7:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #15: input, references = 4, size of lhs = 8:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #16: input, references = 7, size of lhs = 8:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #17: input, references = 5, size of lhs = 8:
% 258.05/258.25 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)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #18: input, references = 5, size of lhs = 6:
% 258.05/258.25 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), P_w-{F}(V5) | between-{T}(V3,V4,V5)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #19: input, references = 6, size of lhs = 7:
% 258.05/258.25 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), P_w-{F}(V5), P_x-{F}(V6) | between-{T}(V3,V5,V6)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #20: input, references = 7, size of lhs = 8:
% 258.05/258.25 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), P_w-{F}(V5), P_x-{F}(V6), between-{F}(V3,V4,V6) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #21: input, references = 9, size of lhs = 4:
% 258.05/258.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #22: input, references = 5, size of lhs = 5:
% 258.05/258.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_inner_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #23: input, references = 4, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #24: input, references = 4, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #25: input, references = 4, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #26: input, references = 3, size of lhs = 5:
% 258.05/258.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #27: input, references = 4, size of lhs = 5:
% 258.05/258.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #28: input, references = 6, size of lhs = 6:
% 258.05/258.25 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #29: input, references = 4, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_u-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #30: input, references = 4, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_v-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #31: input, references = 5, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_w-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #32: input, references = 6, size of lhs = 0:
% 258.05/258.25 FALSE | EXISTS V0: P_x-{T}(V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 number of initial rules = 33
% 258.05/258.25
% 258.05/258.25 Simplifiers:
% 258.05/258.25 #33: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #34: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_inner_pasch-{F}(V0,V1,V2,V3,V4,V5), P_inner_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #35: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #36: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #37: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #38: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #39: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #40: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #41: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #42: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #43: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_w-{F}(V0), P_w-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #44: unsound, references = 3, size of lhs = 3:
% 258.05/258.25 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 number of simplifiers = 12
% 258.05/258.25
% 258.05/258.25 Learnt:
% 258.05/258.25 #52: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V5, V5 == V10; #46 ), references = 2, size of lhs = 6:
% 258.05/258.25 P_v-{F}(V0), P_w-{F}(V0), P_lower_dimension_point_1-{F}(V1), P_lower_dimension_point_2-{F}(V2), P_lower_dimension_point_3-{F}(V3), P_u-{F}(V4) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #55: exists( #22, #53 ), references = 4, size of lhs = 2:
% 258.05/258.25 between-{F}(V0,V1,V2), between-{F}(V1,V3,V2) | P_inner_pasch-{T}(V0,V1,V2,V3,V1,V1)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #58: exists( #21, #56 ), references = 20, size of lhs = 3:
% 258.05/258.25 #-{F} V0, #-{F} V1, #-{F} V2 | P_extension-{T}(V0,V1,V2,V2,V1)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #64: exists( #32, #62 ), references = 1, size of lhs = 7:
% 258.05/258.25 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), between-{F}(V4,V3,V4), P_w-{F}(V5) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #66: exists( #31, #63 ), references = 2, size of lhs = 6:
% 258.05/258.25 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), between-{F}(V4,V3,V4) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #74: exists( #21, #72 ), references = 2, size of lhs = 5:
% 258.05/258.25 between-{F}(V0,V1,V2), equidistant-{F}(V3,V4,V0,V1), V3 == V4, equidistant-{F}(V3,V5,V0,V2), equidistant-{F}(V4,V5,V1,V2) | P_extension-{T}(V3,V4,V1,V2,V5)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #78: exists( #22, #76 ), references = 19, size of lhs = 2:
% 258.05/258.25 between-{F}(V0,V1,V2), between-{F}(V3,V0,V2) | P_inner_pasch-{T}(V0,V1,V2,V0,V3,V0)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #82: exists( #28, #80 ), references = 1, size of lhs = 7:
% 258.05/258.25 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,V4,V6), equidistant-{F}(V3,V6,V3,V5), between-{F}(V4,V7,V6) | P_continuous-{T}(V3,V4,V5,V7,V6,V5,V5)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #181: exists( #28, #179 ), references = 1, size of lhs = 8:
% 258.05/258.25 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,V4,V6), equidistant-{F}(V3,V6,V3,V7), between-{F}(V4,V8,V6), equidistant-{F}(V3,V8,V9,V9) | P_continuous-{T}(V3,V4,V5,V8,V6,V7,V3)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #322: exists( #21, #320 ), references = 9, size of lhs = 25:
% 258.05/258.25 equidistant-{F}(V0,V1,V1,V1), between-{F}(V2,V0,V3), V2 == V0, V3 == V1, between-{F}(V3,V1,V4), equidistant-{F}(V1,V4,V1,V5), V5 == V0, equidistant-{F}(V5,V0,V4,V1), between-{F}(V5,V0,V6), between-{F}(V4,V1,V7), equidistant-{F}(V0,V6,V1,V7), between-{F}(V1,V5,V8), equidistant-{F}(V2,V0,V8,V1), equidistant-{F}(V2,V1,V8,V1), equidistant-{F}(V6,V3,V9,V10), equidistant-{F}(V9,V10,V11,V12), equidistant-{F}(V11,V12,V13,V13), equidistant-{F}(V3,V1,V14,V15), equidistant-{F}(V14,V15,V16,V17), equidistant-{F}(V16,V17,V18,V19), equidistant-{F}(V18,V19,V20,V21), equidistant-{F}(V20,V21,V1,V3), equidistant-{F}(V22,V23,V0,V3), equidistant-{F}(V24,V25,V22,V23), equidistant-{F}(V26,V27,V24,V25) | P_extension-{T}(V8,V1,V26,V27,V7)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #467: exists( #21, #463 ), references = 1, size of lhs = 36:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), equidistant-{F}(V1,V1,V1,V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V1,V0,V3), between-{F}(V1,V4,V2), V4 == V1, between-{F}(V4,V1,V5), equidistant-{F}(V1,V5,V1,V3), equidistant-{F}(V1,V6,V1,V4), equidistant-{F}(V4,V1,V6,V1), between-{F}(V6,V1,V3), equidistant-{F}(V5,V7,V5,V7), V7 == V1, between-{F}(V7,V1,V6), equidistant-{F}(V1,V7,V1,V7), equidistant-{F}(V7,V1,V7,V1), between-{F}(V1,V7,V8), equidistant-{F}(V7,V1,V8,V1), equidistant-{F}(V9,V9,V5,V7), equidistant-{F}(V7,V1,V10,V11), equidistant-{F}(V10,V11,V12,V13), equidistant-{F}(V2,V1,V14,V15), equidistant-{F}(V14,V15,V1,V7), equidistant-{F}(V12,V13,V16,V17), equidistant-{F}(V16,V17,V10,V11), equidistant-{F}(V9,V9,V18,V19), equidistant-{F}(V18,V19,V18,V19), equidistant-{F}(V20,V21,V2,V1), equidistant-{F}(V22,V23,V20,V21), equidistant-{F}(V24,V25,V22,V23), equidistant-{F}(V24,V25,V26,V27), equidistant-{F}(V26,V27,V10,V11), equidistant-{F}(V28,V29,V24,V25), equidistant-{F}(V28,V29,V30,V31), equidistant-{F}(V30,V31,V1,V7) | P_extension-{T}(V7,V1,V24,V25,V1)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #468: exists( #21, #464 ), references = 1, size of lhs = 40:
% 258.05/258.25 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}(V4,V4,V4,V4), P_w-{F}(V5), P_x-{F}(V6), between-{F}(V4,V3,V7), between-{F}(V4,V8,V6), V8 == V4, between-{F}(V8,V4,V9), equidistant-{F}(V4,V9,V4,V7), equidistant-{F}(V4,V10,V4,V8), equidistant-{F}(V8,V4,V10,V4), between-{F}(V10,V4,V7), equidistant-{F}(V9,V11,V9,V11), V11 == V4, between-{F}(V11,V4,V10), equidistant-{F}(V4,V11,V4,V11), equidistant-{F}(V11,V4,V11,V4), between-{F}(V4,V11,V12), equidistant-{F}(V11,V4,V12,V4), equidistant-{F}(V13,V13,V9,V11), equidistant-{F}(V11,V4,V14,V15), equidistant-{F}(V14,V15,V16,V17), equidistant-{F}(V6,V4,V18,V19), equidistant-{F}(V18,V19,V4,V11), equidistant-{F}(V16,V17,V20,V21), equidistant-{F}(V20,V21,V14,V15), equidistant-{F}(V13,V13,V22,V23), equidistant-{F}(V22,V23,V22,V23), equidistant-{F}(V24,V25,V6,V4), equidistant-{F}(V26,V27,V24,V25), equidistant-{F}(V28,V29,V26,V27), equidistant-{F}(V28,V29,V30,V31), equidistant-{F}(V30,V31,V14,V15), equidistant-{F}(V32,V33,V28,V29), equidistant-{F}(V32,V33,V34,V35), equidistant-{F}(V34,V35,V4,V11) | P_extension-{T}(V11,V4,V28,V29,V4)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #583: mergings( V5 == V8, V6 == V9, V7 == V10; #579 ), references = 1, size of lhs = 10:
% 258.05/258.25 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,V4), between-{F}(V4,V5,V3), V4 == V5, between-{F}(V6,V5,V3), P_euclid1-{F}(V4,V6,V5,V3,V3,V7), V7 == V4, equidistant-{F}(V3,V7,V3,V4) | P_euclid2-{T}(V4,V6,V5,V3,V3,V3)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #608: mergings( V6 == V9, V7 == V10, V8 == V11; #604 ), references = 3, size of lhs = 15:
% 258.05/258.25 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,V3), between-{F}(V3,V4,V5), equidistant-{F}(V3,V5,V3,V6), between-{F}(V4,V7,V5), between-{F}(V8,V3,V6), between-{F}(V3,V9,V8), V9 == V3, equidistant-{F}(V9,V3,V10,V11), equidistant-{F}(V3,V7,V11,V12), between-{F}(V10,V11,V12), equidistant-{F}(V9,V13,V10,V12), equidistant-{F}(V3,V13,V11,V12) | P_continuous-{T}(V3,V4,V3,V7,V5,V6,V13)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #720: mergings( V5 == V8, V8 == V11, V6 == V9, V9 == V1, V7 == V10, V10 == V0; #712 ), references = 1, size of lhs = 38:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V1,V3,V1,V1), between-{F}(V1,V3,V4), between-{F}(V3,V5,V4), between-{F}(V1,V6,V2), V6 == V1, equidistant-{F}(V6,V1,V7,V8), equidistant-{F}(V1,V5,V8,V9), between-{F}(V7,V8,V9), equidistant-{F}(V6,V0,V7,V9), equidistant-{F}(V1,V0,V8,V9), equidistant-{F}(V10,V11,V11,V11), equidistant-{F}(V11,V12,V1,V4), between-{F}(V13,V11,V12), equidistant-{F}(V11,V13,V11,V14), V14 == V10, equidistant-{F}(V14,V10,V13,V11), between-{F}(V14,V10,V15), equidistant-{F}(V10,V15,V11,V12), between-{F}(V11,V14,V16), equidistant-{F}(V17,V10,V16,V11), V17 == V10, equidistant-{F}(V17,V11,V16,V11), between-{F}(V17,V10,V18), V18 == V11, between-{F}(V18,V11,V13), equidistant-{F}(V15,V18,V19,V20), equidistant-{F}(V19,V20,V21,V22), equidistant-{F}(V21,V22,V23,V23), equidistant-{F}(V18,V11,V24,V25), equidistant-{F}(V24,V25,V26,V27), equidistant-{F}(V26,V27,V28,V29), equidistant-{F}(V28,V29,V30,V31), equidistant-{F}(V30,V31,V11,V18), equidistant-{F}(V32,V33,V10,V18), equidistant-{F}(V34,V35,V32,V33) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #727: mergings( V5 == V8, V8 == V11, V6 == V9, V9 == V12, V7 == V10, V10 == V13; #713 ), references = 2, size of lhs = 42:
% 258.05/258.25 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), P_w-{F}(V5), P_x-{F}(V6), equidistant-{F}(V4,V7,V4,V4), between-{F}(V4,V7,V8), between-{F}(V7,V9,V8), between-{F}(V4,V10,V6), V10 == V4, equidistant-{F}(V10,V4,V11,V12), equidistant-{F}(V4,V9,V12,V13), between-{F}(V11,V12,V13), equidistant-{F}(V10,V3,V11,V13), equidistant-{F}(V4,V3,V12,V13), equidistant-{F}(V14,V15,V15,V15), equidistant-{F}(V15,V16,V4,V8), between-{F}(V17,V15,V16), equidistant-{F}(V15,V17,V15,V18), V18 == V14, equidistant-{F}(V18,V14,V17,V15), between-{F}(V18,V14,V19), equidistant-{F}(V14,V19,V15,V16), between-{F}(V15,V18,V20), equidistant-{F}(V21,V14,V20,V15), V21 == V14, equidistant-{F}(V21,V15,V20,V15), between-{F}(V21,V14,V22), V22 == V15, between-{F}(V22,V15,V17), equidistant-{F}(V19,V22,V23,V24), equidistant-{F}(V23,V24,V25,V26), equidistant-{F}(V25,V26,V27,V27), equidistant-{F}(V22,V15,V28,V29), equidistant-{F}(V28,V29,V30,V31), equidistant-{F}(V30,V31,V32,V33), equidistant-{F}(V32,V33,V34,V35), equidistant-{F}(V34,V35,V15,V22), equidistant-{F}(V36,V37,V14,V22), equidistant-{F}(V38,V39,V36,V37) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #766: mergings( V5 == V8, V8 == V11, V6 == V9, V9 == V12, V7 == V10, V10 == V13; #758 ), references = 1, size of lhs = 68:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V1,V3,V1,V1), between-{F}(V1,V3,V4), between-{F}(V3,V5,V4), between-{F}(V1,V6,V2), V6 == V1, equidistant-{F}(V6,V1,V7,V8), equidistant-{F}(V1,V5,V8,V9), between-{F}(V7,V8,V9), equidistant-{F}(V6,V0,V7,V9), equidistant-{F}(V1,V0,V8,V9), equidistant-{F}(V1,V4,V10,V11), equidistant-{F}(V10,V11,V12,V13), equidistant-{F}(V12,V13,V14,V15), equidistant-{F}(V14,V15,V16,V17), equidistant-{F}(V16,V17,V1,V4), equidistant-{F}(V18,V19,V14,V15), equidistant-{F}(V20,V21,V21,V21), equidistant-{F}(V22,V21,V21,V21), between-{F}(V23,V20,V24), V23 == V20, V24 == V21, between-{F}(V24,V21,V25), equidistant-{F}(V21,V25,V21,V26), V26 == V20, equidistant-{F}(V26,V20,V25,V21), between-{F}(V26,V20,V27), between-{F}(V25,V21,V28), equidistant-{F}(V20,V27,V21,V28), between-{F}(V21,V26,V29), equidistant-{F}(V23,V20,V29,V21), equidistant-{F}(V23,V21,V29,V21), between-{F}(V30,V21,V28), equidistant-{F}(V21,V30,V21,V31), V31 == V22, equidistant-{F}(V31,V22,V30,V21), between-{F}(V31,V22,V32), equidistant-{F}(V22,V32,V21,V28), between-{F}(V21,V31,V33), equidistant-{F}(V34,V22,V33,V21), V34 == V22, equidistant-{F}(V34,V21,V33,V21), between-{F}(V34,V22,V35), V35 == V21, between-{F}(V35,V21,V30), equidistant-{F}(V27,V24,V36,V37), equidistant-{F}(V36,V37,V38,V39), equidistant-{F}(V38,V39,V40,V40), equidistant-{F}(V24,V21,V41,V42), equidistant-{F}(V41,V42,V43,V44), equidistant-{F}(V43,V44,V45,V46), equidistant-{F}(V45,V46,V47,V48), equidistant-{F}(V47,V48,V21,V24), equidistant-{F}(V32,V35,V49,V50), equidistant-{F}(V49,V50,V51,V52), equidistant-{F}(V51,V52,V53,V53), equidistant-{F}(V54,V55,V20,V24), equidistant-{F}(V56,V57,V54,V55), equidistant-{F}(V56,V57,V58,V59), equidistant-{F}(V58,V59,V22,V35), equidistant-{F}(V58,V59,V60,V61), equidistant-{F}(V60,V61,V21,V35), equidistant-{F}(V62,V63,V56,V57), equidistant-{F}(V64,V65,V62,V63), equidistant-{F}(V64,V65,V35,V21), P_extension-{F}(V66,V64,V16,V17,V65) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #773: mergings( V5 == V8, V8 == V11, V6 == V9, V9 == V12, V7 == V10, V10 == V13; #759 ), references = 2, size of lhs = 72:
% 258.05/258.25 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), P_w-{F}(V5), P_x-{F}(V6), equidistant-{F}(V4,V7,V4,V4), between-{F}(V4,V7,V8), between-{F}(V7,V9,V8), between-{F}(V4,V10,V6), V10 == V4, equidistant-{F}(V10,V4,V11,V12), equidistant-{F}(V4,V9,V12,V13), between-{F}(V11,V12,V13), equidistant-{F}(V10,V3,V11,V13), equidistant-{F}(V4,V3,V12,V13), equidistant-{F}(V4,V8,V14,V15), equidistant-{F}(V14,V15,V16,V17), equidistant-{F}(V16,V17,V18,V19), equidistant-{F}(V18,V19,V20,V21), equidistant-{F}(V20,V21,V4,V8), equidistant-{F}(V22,V23,V18,V19), equidistant-{F}(V24,V25,V25,V25), equidistant-{F}(V26,V25,V25,V25), between-{F}(V27,V24,V28), V27 == V24, V28 == V25, between-{F}(V28,V25,V29), equidistant-{F}(V25,V29,V25,V30), V30 == V24, equidistant-{F}(V30,V24,V29,V25), between-{F}(V30,V24,V31), between-{F}(V29,V25,V32), equidistant-{F}(V24,V31,V25,V32), between-{F}(V25,V30,V33), equidistant-{F}(V27,V24,V33,V25), equidistant-{F}(V27,V25,V33,V25), between-{F}(V34,V25,V32), equidistant-{F}(V25,V34,V25,V35), V35 == V26, equidistant-{F}(V35,V26,V34,V25), between-{F}(V35,V26,V36), equidistant-{F}(V26,V36,V25,V32), between-{F}(V25,V35,V37), equidistant-{F}(V38,V26,V37,V25), V38 == V26, equidistant-{F}(V38,V25,V37,V25), between-{F}(V38,V26,V39), V39 == V25, between-{F}(V39,V25,V34), equidistant-{F}(V31,V28,V40,V41), equidistant-{F}(V40,V41,V42,V43), equidistant-{F}(V42,V43,V44,V44), equidistant-{F}(V28,V25,V45,V46), equidistant-{F}(V45,V46,V47,V48), equidistant-{F}(V47,V48,V49,V50), equidistant-{F}(V49,V50,V51,V52), equidistant-{F}(V51,V52,V25,V28), equidistant-{F}(V36,V39,V53,V54), equidistant-{F}(V53,V54,V55,V56), equidistant-{F}(V55,V56,V57,V57), equidistant-{F}(V58,V59,V24,V28), equidistant-{F}(V60,V61,V58,V59), equidistant-{F}(V60,V61,V62,V63), equidistant-{F}(V62,V63,V26,V39), equidistant-{F}(V62,V63,V64,V65), equidistant-{F}(V64,V65,V25,V39), equidistant-{F}(V66,V67,V60,V61), equidistant-{F}(V68,V69,V66,V67), equidistant-{F}(V68,V69,V39,V25), P_extension-{F}(V70,V68,V20,V21,V69) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #812: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #804 ), references = 1, size of lhs = 41:
% 258.05/258.25 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), P_w-{F}(V5), V5 == V4, between-{F}(V5,V4,V3), equidistant-{F}(V4,V6,V4,V4), between-{F}(V4,V6,V7), between-{F}(V6,V8,V7), equidistant-{F}(V5,V4,V9,V10), equidistant-{F}(V4,V8,V10,V11), between-{F}(V9,V10,V11), equidistant-{F}(V5,V3,V9,V11), equidistant-{F}(V4,V3,V10,V11), equidistant-{F}(V12,V13,V13,V13), equidistant-{F}(V13,V14,V4,V7), between-{F}(V15,V13,V14), equidistant-{F}(V13,V15,V13,V16), V16 == V12, equidistant-{F}(V16,V12,V15,V13), between-{F}(V16,V12,V17), equidistant-{F}(V12,V17,V13,V14), between-{F}(V13,V16,V18), equidistant-{F}(V19,V12,V18,V13), V19 == V12, equidistant-{F}(V19,V13,V18,V13), between-{F}(V19,V12,V20), V20 == V13, between-{F}(V20,V13,V15), equidistant-{F}(V17,V20,V21,V22), equidistant-{F}(V21,V22,V23,V24), equidistant-{F}(V25,V25,V23,V24), equidistant-{F}(V20,V13,V26,V27), equidistant-{F}(V26,V27,V28,V29), equidistant-{F}(V28,V29,V30,V31), equidistant-{F}(V30,V31,V32,V33), equidistant-{F}(V32,V33,V13,V20), equidistant-{F}(V34,V35,V12,V20), equidistant-{F}(V36,V37,V34,V35) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #819: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #805 ), references = 1, size of lhs = 70:
% 258.05/258.25 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), P_w-{F}(V5), V5 == V4, between-{F}(V5,V4,V3), equidistant-{F}(V4,V6,V4,V4), between-{F}(V4,V6,V7), between-{F}(V6,V8,V7), equidistant-{F}(V4,V7,V9,V10), equidistant-{F}(V9,V10,V11,V12), equidistant-{F}(V11,V12,V13,V14), equidistant-{F}(V13,V14,V15,V16), equidistant-{F}(V15,V16,V4,V7), equidistant-{F}(V17,V18,V13,V14), equidistant-{F}(V5,V4,V19,V20), equidistant-{F}(V4,V8,V20,V21), between-{F}(V19,V20,V21), equidistant-{F}(V5,V3,V19,V21), equidistant-{F}(V4,V3,V20,V21), equidistant-{F}(V22,V23,V23,V23), equidistant-{F}(V24,V23,V23,V23), between-{F}(V25,V22,V26), V25 == V22, V26 == V23, between-{F}(V26,V23,V27), equidistant-{F}(V23,V27,V23,V28), V28 == V22, equidistant-{F}(V28,V22,V27,V23), between-{F}(V28,V22,V29), between-{F}(V27,V23,V30), equidistant-{F}(V22,V29,V23,V30), between-{F}(V23,V28,V31), equidistant-{F}(V25,V22,V31,V23), equidistant-{F}(V25,V23,V31,V23), between-{F}(V32,V23,V30), equidistant-{F}(V23,V32,V23,V33), V33 == V24, equidistant-{F}(V33,V24,V32,V23), between-{F}(V33,V24,V34), equidistant-{F}(V24,V34,V23,V30), between-{F}(V23,V33,V35), equidistant-{F}(V36,V24,V35,V23), V36 == V24, equidistant-{F}(V36,V23,V35,V23), between-{F}(V36,V24,V37), V37 == V23, between-{F}(V37,V23,V32), equidistant-{F}(V29,V26,V38,V39), equidistant-{F}(V38,V39,V40,V41), equidistant-{F}(V42,V42,V40,V41), equidistant-{F}(V26,V23,V43,V44), equidistant-{F}(V43,V44,V45,V46), equidistant-{F}(V45,V46,V47,V48), equidistant-{F}(V47,V48,V49,V50), equidistant-{F}(V49,V50,V23,V26), equidistant-{F}(V34,V37,V51,V52), equidistant-{F}(V51,V52,V40,V41), equidistant-{F}(V53,V54,V22,V26), equidistant-{F}(V55,V56,V53,V54), equidistant-{F}(V55,V56,V57,V58), equidistant-{F}(V57,V58,V24,V37), equidistant-{F}(V57,V58,V59,V60), equidistant-{F}(V59,V60,V23,V37), equidistant-{F}(V61,V62,V55,V56), equidistant-{F}(V63,V64,V61,V62), equidistant-{F}(V63,V64,V37,V23), P_extension-{F}(V65,V63,V15,V16,V64) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #852: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V10, V7 == V12; #843 ), references = 2, size of lhs = 23:
% 258.05/258.25 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), V3 == V4, equidistant-{F}(V4,V4,V4,V4), equidistant-{F}(V4,V3,V4,V3), equidistant-{F}(V4,V5,V4,V4), between-{F}(V4,V5,V6), equidistant-{F}(V4,V3,V4,V6), between-{F}(V5,V7,V6), equidistant-{F}(V4,V7,V4,V3), equidistant-{F}(V3,V3,V8,V9), equidistant-{F}(V8,V9,V10,V11), equidistant-{F}(V12,V12,V10,V11), equidistant-{F}(V3,V4,V13,V14), equidistant-{F}(V13,V14,V15,V16), equidistant-{F}(V15,V16,V17,V18), equidistant-{F}(V17,V18,V19,V20), equidistant-{F}(V19,V20,V4,V3), equidistant-{F}(V21,V22,V4,V3), equidistant-{F}(V23,V24,V21,V22) | P_w-{T}(V4)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #860: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V10, V7 == V12; #844 ), references = 1, size of lhs = 37:
% 258.05/258.25 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), V3 == V4, equidistant-{F}(V4,V4,V4,V4), equidistant-{F}(V4,V3,V4,V3), equidistant-{F}(V4,V3,V3,V4), equidistant-{F}(V4,V5,V4,V4), between-{F}(V4,V5,V6), equidistant-{F}(V4,V3,V4,V6), between-{F}(V5,V7,V6), equidistant-{F}(V4,V7,V4,V3), equidistant-{F}(V4,V6,V8,V9), equidistant-{F}(V8,V9,V10,V11), equidistant-{F}(V10,V11,V12,V13), equidistant-{F}(V12,V13,V4,V3), equidistant-{F}(V14,V15,V12,V13), equidistant-{F}(V4,V3,V16,V17), equidistant-{F}(V16,V17,V18,V19), equidistant-{F}(V18,V19,V20,V21), equidistant-{F}(V20,V21,V4,V3), equidistant-{F}(V3,V3,V22,V23), equidistant-{F}(V22,V23,V24,V25), equidistant-{F}(V26,V26,V24,V25), equidistant-{F}(V3,V4,V27,V28), equidistant-{F}(V27,V28,V29,V30), equidistant-{F}(V29,V30,V31,V32), equidistant-{F}(V31,V32,V33,V34), equidistant-{F}(V33,V34,V4,V3), equidistant-{F}(V3,V3,V35,V36), equidistant-{F}(V35,V36,V24,V25), equidistant-{F}(V18,V19,V37,V38), equidistant-{F}(V37,V38,V4,V3), equidistant-{F}(V37,V38,V39,V40), equidistant-{F}(V39,V40,V4,V3) | P_w-{T}(V4)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #885: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8; #880 ), references = 2, size of lhs = 6:
% 258.05/258.25 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), equidistant-{F}(V4,V4,V5,V5) | P_v-{T}(V3)
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #897: mergings( V1 == V4, V2 == V5, V3 == V6; #893 ), references = 1, size of lhs = 4:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V3,V3,V4,V4) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #901: mergings( V1 == V3, V2 == V4; #898 ), references = 1, size of lhs = 3:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), equidistant-{F}(V2,V2,V3,V3) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #904: mergings( V1 == V2; #902 ), references = 1, size of lhs = 2:
% 258.05/258.25 P_lower_dimension_point_1-{F}(V0), equidistant-{F}(V1,V1,V2,V2) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #906: exists( #23, #902 ), references = 1, size of lhs = 1:
% 258.05/258.25 equidistant-{F}(V0,V0,V1,V1) | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 #908: #0+#905, references = 1, size of lhs = 1:
% 258.05/258.25 #-{F} V0 | FALSE
% 258.05/258.25 (used 0 times, uses = {})
% 258.05/258.25
% 258.05/258.25 number of learnt formulas = 28
% 258.05/258.25
% 258.05/258.25
% 258.05/258.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 258.05/258.25
% 258.05/258.25 randbase = 1
%------------------------------------------------------------------------------