TSTP Solution File: GEO038-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO038-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:01:32 EDT 2022
% Result : Unsatisfiable 20.87s 21.11s
% Output : Refutation 20.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 18:22:43 EDT 2022
% 0.18/0.33 % CPUTime :
% 20.87/21.11 GeoParameters:
% 20.87/21.11
% 20.87/21.11 tptp_input = 1
% 20.87/21.11 tptp_output = 0
% 20.87/21.11 nonempty = 1
% 20.87/21.11 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.87/21.11 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 20.87/21.11
% 20.87/21.11
% 20.87/21.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.87/21.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.87/21.11
% 20.87/21.11 RuleSystem INPUT:
% 20.87/21.11
% 20.87/21.11 Initial Rules:
% 20.87/21.11 #0: input, references = 5, size of lhs = 2:
% 20.87/21.11 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #1: input, references = 12, size of lhs = 2:
% 20.87/21.11 equidistant-{F}(V5,V4,V0,V1), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V0,V1,V2,V3)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #2: input, references = 6, size of lhs = 2:
% 20.87/21.11 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #3: input, references = 5, size of lhs = 1:
% 20.87/21.11 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #4: input, references = 4, size of lhs = 1:
% 20.87/21.11 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #5: input, references = 4, size of lhs = 7:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #6: input, references = 6, size of lhs = 2:
% 20.87/21.11 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #7: input, references = 6, size of lhs = 3:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #8: input, references = 4, size of lhs = 3:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #9: input, references = 3, size of lhs = 4:
% 20.87/21.11 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
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #10: input, references = 3, size of lhs = 4:
% 20.87/21.11 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
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #11: input, references = 3, size of lhs = 4:
% 20.87/21.11 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
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #12: input, references = 3, size of lhs = 7:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #13: input, references = 3, size of lhs = 7:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #14: input, references = 3, size of lhs = 7:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #15: input, references = 3, size of lhs = 8:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #16: input, references = 5, size of lhs = 8:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #17: input, references = 5, size of lhs = 8:
% 20.87/21.11 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)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #18: input, references = 4, size of lhs = 10:
% 20.87/21.11 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3), P_u-{F}(V4), P_v-{F}(V5), P_w-{F}(V6), P_x-{F}(V7), P_extension-{F}(V4,V5,V6,V7,V8), V3 == V8 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #19: input, references = 4, size of lhs = 10:
% 20.87/21.11 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3), P_u-{F}(V4), P_v-{F}(V5), P_w-{F}(V6), P_x-{F}(V7), P_extension-{F}(V4,V5,V6,V7,V8), between-{F}(V4,V5,V3) | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #20: input, references = 5, size of lhs = 4:
% 20.87/21.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #21: input, references = 5, size of lhs = 5:
% 20.87/21.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_inner_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #22: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #23: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #24: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #25: input, references = 3, size of lhs = 5:
% 20.87/21.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #26: input, references = 3, size of lhs = 5:
% 20.87/21.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #27: input, references = 6, size of lhs = 6:
% 20.87/21.11 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #28: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_y-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #29: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_u-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #30: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_v-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #31: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_w-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #32: input, references = 4, size of lhs = 0:
% 20.87/21.11 FALSE | EXISTS V0: P_x-{T}(V0)
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 number of initial rules = 33
% 20.87/21.11
% 20.87/21.11 Simplifiers:
% 20.87/21.11 #33: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #34: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_inner_pasch-{F}(V0,V1,V2,V3,V4,V5), P_inner_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #35: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #36: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #37: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #38: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #39: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #40: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #41: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #42: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #43: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #44: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_w-{F}(V0), P_w-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 #45: unsound, references = 3, size of lhs = 3:
% 20.87/21.11 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 20.87/21.11 (used 0 times, uses = {})
% 20.87/21.11
% 20.87/21.11 number of simplifiers = 13
% 20.87/21.11
% 20.87/21.11 Learnt:
% 20.87/21.11 #48: exists( #20, #46 ), references = 2, size of lhs = 3:
% 20.87/21.11 #-{F} V0, #-{F} V1, #-{F} V2 | P_extension-{T}(V0,V1,V2,V2,V1)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #51: exists( #21, #49 ), references = 1, size of lhs = 2:
% 20.87/21.12 between-{F}(V0,V1,V2), between-{F}(V1,V3,V2) | P_inner_pasch-{T}(V0,V1,V2,V3,V1,V1)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #54: exists( #27, #52 ), references = 1, size of lhs = 7:
% 20.87/21.12 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)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #60: exists( #21, #57 ), references = 3, size of lhs = 2:
% 20.87/21.12 between-{F}(V0,V1,V2), between-{F}(V3,V0,V2) | P_inner_pasch-{T}(V0,V1,V2,V0,V3,V0)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #158: mergings( V6 == V9, V7 == V10, V8 == V11; #154 ), references = 1, size of lhs = 14:
% 20.87/21.12 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), between-{F}(V4,V6,V5), equidistant-{F}(V3,V5,V3,V7), between-{F}(V8,V7,V3), V8 == V3, equidistant-{F}(V7,V3,V9,V10), equidistant-{F}(V9,V10,V11,V12), equidistant-{F}(V11,V12,V7,V8), equidistant-{F}(V3,V6,V13,V14), equidistant-{F}(V13,V14,V7,V3) | P_continuous-{T}(V3,V4,V3,V6,V5,V7,V7)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #221: exists( #27, #219 ), references = 1, size of lhs = 8:
% 20.87/21.12 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)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #226: exists( #20, #18 ), references = 1, size of lhs = 8:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3), P_u-{F}(V4), P_v-{F}(V5), P_w-{F}(V6), P_x-{F}(V7) | P_extension-{T}(V4,V5,V6,V7,V3)
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #233: mergings( V1 == V4, V2 == V5, V3 == V6; #229 ), references = 1, size of lhs = 7:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3), P_u-{F}(V4), P_v-{F}(V5), P_w-{F}(V6) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #238: mergings( V1 == V4, V2 == V5, V3 == V6; #234 ), references = 1, size of lhs = 6:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3), P_u-{F}(V4), P_v-{F}(V5) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #243: mergings( V1 == V4, V2 == V5, V3 == V6; #239 ), references = 1, size of lhs = 5:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3), P_u-{F}(V4) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #248: mergings( V1 == V4, V2 == V5, V3 == V6; #244 ), references = 1, size of lhs = 4:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_y-{F}(V3) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #253: mergings( V1 == V4, V2 == V5, V3 == V6; #249 ), references = 1, size of lhs = 3:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #257: mergings( V1 == V3, V2 == V4; #254 ), references = 1, size of lhs = 2:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #260: mergings( V1 == V2; #258 ), references = 1, size of lhs = 1:
% 20.87/21.12 P_lower_dimension_point_1-{F}(V0) | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 #262: exists( #22, #258 ), references = 1, size of lhs = 0:
% 20.87/21.12 FALSE | FALSE
% 20.87/21.12 (used 0 times, uses = {})
% 20.87/21.12
% 20.87/21.12 number of learnt formulas = 15
% 20.87/21.12
% 20.87/21.12
% 20.87/21.12 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.87/21.12
% 20.87/21.12 randbase = 1
%------------------------------------------------------------------------------