TSTP Solution File: GEO054-3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO054-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:01:35 EDT 2022
% Result : Unsatisfiable 3.20s 3.39s
% Output : Refutation 3.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO054-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 17:32:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.20/3.39 GeoParameters:
% 3.20/3.39
% 3.20/3.39 tptp_input = 1
% 3.20/3.39 tptp_output = 0
% 3.20/3.39 nonempty = 1
% 3.20/3.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.20/3.39
% 3.20/3.39
% 3.20/3.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.39
% 3.20/3.39 RuleSystem INPUT:
% 3.20/3.39
% 3.20/3.39 Initial Rules:
% 3.20/3.39 #0: input, references = 3, size of lhs = 2:
% 3.20/3.39 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #1: input, references = 3, size of lhs = 2:
% 3.20/3.39 equidistant-{F}(V5,V4,V0,V1), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V0,V1,V2,V3)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #2: input, references = 3, size of lhs = 2:
% 3.20/3.39 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #3: input, references = 5, size of lhs = 1:
% 3.20/3.39 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #4: input, references = 3, size of lhs = 1:
% 3.20/3.39 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #5: input, references = 3, size of lhs = 7:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #6: input, references = 6, size of lhs = 2:
% 3.20/3.39 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #7: input, references = 4, size of lhs = 3:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #8: input, references = 4, size of lhs = 3:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #9: input, references = 3, size of lhs = 4:
% 3.20/3.39 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
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #10: input, references = 3, size of lhs = 4:
% 3.20/3.39 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
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #11: input, references = 4, size of lhs = 4:
% 3.20/3.39 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
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #12: input, references = 3, size of lhs = 7:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #13: input, references = 3, size of lhs = 7:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #14: input, references = 3, size of lhs = 7:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #15: input, references = 3, size of lhs = 8:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #16: input, references = 4, size of lhs = 8:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #17: input, references = 3, size of lhs = 8:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #18: input, references = 5, size of lhs = 6:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_reflection-{F}(V4,V3,V5), P_extension-{F}(V4,V3,V4,V3,V6), V5 == V6 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #19: input, references = 3, size of lhs = 5:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), #-{F} V3, #-{F} V4 | equidistant-{T}(V4,V3,V4,V3)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #20: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V5,V3,V6,V4)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #21: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V4,V6,V5,V3)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #22: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V6,V4,V3,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #23: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V4,V6,V3,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #24: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V5,V3,V4,V6)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #25: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V3,V5,V6,V4)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #26: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V4,V5,V3) | equidistant-{T}(V3,V5,V4,V6)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #27: input, references = 3, size of lhs = 5:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), equidistant-{F}(V6,V5,V7,V8), equidistant-{F}(V7,V8,V3,V4) | equidistant-{T}(V6,V5,V3,V4)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #28: input, references = 4, size of lhs = 5:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_extension-{F}(V5,V3,V4,V4,V6), V3 == V6 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #29: input, references = 3, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_extension-{F}(V5,V4,V6,V7,V8) | between-{T}(V5,V4,V8)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #30: input, references = 4, size of lhs = 7:
% 3.20/3.39 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_reflection-{F}(V3,V4,V5), between-{F}(V3,V4,V5) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #31: input, references = 4, size of lhs = 4:
% 3.20/3.39 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #32: input, references = 5, size of lhs = 5:
% 3.20/3.39 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_inner_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #33: input, references = 4, size of lhs = 0:
% 3.20/3.39 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #34: input, references = 4, size of lhs = 0:
% 3.20/3.39 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #35: input, references = 5, size of lhs = 0:
% 3.20/3.39 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #36: input, references = 3, size of lhs = 5:
% 3.20/3.39 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #37: input, references = 3, size of lhs = 5:
% 3.20/3.39 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #38: input, references = 4, size of lhs = 6:
% 3.20/3.39 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #39: input, references = 5, size of lhs = 2:
% 3.20/3.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_reflection-{T}(V0,V1,V2)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #40: input, references = 4, size of lhs = 0:
% 3.20/3.39 FALSE | EXISTS V0: P_u-{T}(V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #41: input, references = 4, size of lhs = 0:
% 3.20/3.39 FALSE | EXISTS V0: P_v-{T}(V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 number of initial rules = 42
% 3.20/3.39
% 3.20/3.39 Simplifiers:
% 3.20/3.39 #42: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #43: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_inner_pasch-{F}(V0,V1,V2,V3,V4,V5), P_inner_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #44: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #45: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #46: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #47: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #48: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #49: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #50: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_reflection-{F}(V0,V1,V2), P_reflection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #51: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #52: unsound, references = 3, size of lhs = 3:
% 3.20/3.39 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 number of simplifiers = 11
% 3.20/3.39
% 3.20/3.39 Learnt:
% 3.20/3.39 #56: exists( #31, #28 ), references = 2, size of lhs = 6:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), #-{F} V3, #-{F} V4, #-{F} V5 | P_extension-{T}(V3,V4,V5,V5,V4)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #57: exists( #31, #18 ), references = 2, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_reflection-{F}(V3,V4,V5) | P_extension-{T}(V3,V4,V3,V4,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #63: mergings( V1 == V3, V2 == V3; #60 ), references = 1, size of lhs = 2:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V0) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #69: exists( #39, #18 ), references = 1, size of lhs = 4:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_extension-{F}(V3,V4,V3,V4,V5) | P_reflection-{T}(V3,V4,V5)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #72: exists( #32, #70 ), references = 1, size of lhs = 2:
% 3.20/3.39 between-{F}(V0,V1,V2), between-{F}(V1,V3,V2) | P_inner_pasch-{T}(V0,V1,V2,V3,V1,V1)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #108: exists( #32, #106 ), references = 1, size of lhs = 2:
% 3.20/3.39 between-{F}(V0,V1,V2), between-{F}(V3,V0,V2) | P_inner_pasch-{T}(V0,V1,V2,V0,V3,V0)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #111: exists( #38, #109 ), references = 1, size of lhs = 7:
% 3.20/3.39 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)
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #118: mergings( V3 == V6, V4 == V7, V5 == V8; #114 ), references = 1, size of lhs = 5:
% 3.20/3.39 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) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #123: mergings( V1 == V4, V2 == V5, V3 == V6; #119 ), references = 1, size of lhs = 4:
% 3.20/3.39 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) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #128: mergings( V1 == V4, V2 == V5, V3 == V6; #124 ), references = 1, size of lhs = 3:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #132: mergings( V1 == V3, V2 == V4; #129 ), references = 1, size of lhs = 2:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #135: mergings( V1 == V2; #133 ), references = 1, size of lhs = 1:
% 3.20/3.39 P_lower_dimension_point_1-{F}(V0) | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 #137: exists( #33, #133 ), references = 1, size of lhs = 0:
% 3.20/3.39 FALSE | FALSE
% 3.20/3.39 (used 0 times, uses = {})
% 3.20/3.39
% 3.20/3.39 number of learnt formulas = 13
% 3.20/3.39
% 3.20/3.39
% 3.20/3.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.39
% 3.20/3.39 randbase = 1
%------------------------------------------------------------------------------