%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO025-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 2.06s 2.24s
% Output : Refutation 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO025-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 18:18:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.06/2.24 GeoParameters:
% 2.06/2.24
% 2.06/2.24 tptp_input = 1
% 2.06/2.24 tptp_output = 0
% 2.06/2.24 nonempty = 1
% 2.06/2.24 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/2.24 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/2.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/2.24
% 2.06/2.24 RuleSystem INPUT:
% 2.06/2.24
% 2.06/2.24 Initial Rules:
% 2.06/2.24 #0: input, references = 10, size of lhs = 2:
% 2.06/2.24 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #1: input, references = 19, size of lhs = 2:
% 2.06/2.24 equidistant-{F}(V5,V4,V0,V1), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V0,V1,V2,V3)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #2: input, references = 7, size of lhs = 2:
% 2.06/2.24 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #3: input, references = 4, size of lhs = 1:
% 2.06/2.24 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #4: input, references = 7, size of lhs = 1:
% 2.06/2.24 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #5: input, references = 4, size of lhs = 7:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #6: input, references = 3, size of lhs = 2:
% 2.06/2.24 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #7: input, references = 3, size of lhs = 3:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #8: input, references = 3, size of lhs = 3:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #9: input, references = 3, size of lhs = 4:
% 2.06/2.24 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
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #10: input, references = 3, size of lhs = 4:
% 2.06/2.24 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
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #11: input, references = 4, size of lhs = 4:
% 2.06/2.24 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
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #12: input, references = 3, size of lhs = 7:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #13: input, references = 3, size of lhs = 7:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #14: input, references = 3, size of lhs = 7:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #15: input, references = 3, size of lhs = 8:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #16: input, references = 3, size of lhs = 8:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #17: input, references = 3, size of lhs = 8:
% 2.06/2.24 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)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #18: input, references = 6, size of lhs = 7:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6) | equidistant-{T}(V3,V4,V5,V6)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #19: input, references = 6, size of lhs = 9:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6), P_w-{F}(V7), P_w1-{F}(V8) | equidistant-{T}(V4,V7,V6,V8)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #20: input, references = 4, size of lhs = 9:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6), P_w-{F}(V7), P_w1-{F}(V8) | between-{T}(V3,V4,V7)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #21: input, references = 4, size of lhs = 9:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6), P_w-{F}(V7), P_w1-{F}(V8) | between-{T}(V5,V6,V8)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #22: input, references = 5, size of lhs = 10:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6), P_w-{F}(V7), P_w1-{F}(V8), equidistant-{F}(V3,V7,V5,V8) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #23: input, references = 4, size of lhs = 4:
% 2.06/2.24 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #24: input, references = 3, size of lhs = 5:
% 2.06/2.24 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_inner_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #25: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #26: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #27: input, references = 5, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #28: input, references = 3, size of lhs = 5:
% 2.06/2.24 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #29: input, references = 3, size of lhs = 5:
% 2.06/2.24 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #30: input, references = 3, size of lhs = 6:
% 2.06/2.24 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #31: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_u-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #32: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_v-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #33: input, references = 5, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_u1-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #34: input, references = 5, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_v1-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #35: input, references = 5, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_w-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #36: input, references = 6, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_w1-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 number of initial rules = 37
% 2.06/2.24
% 2.06/2.24 Simplifiers:
% 2.06/2.24 #37: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #38: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_inner_pasch-{F}(V0,V1,V2,V3,V4,V5), P_inner_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #39: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #40: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #41: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #42: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #43: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #44: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #45: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #46: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #47: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_u1-{F}(V0), P_u1-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #48: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #49: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_w-{F}(V0), P_w-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #50: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_w1-{F}(V0), P_w1-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 number of simplifiers = 14
% 2.06/2.24
% 2.06/2.24 Learnt:
% 2.06/2.24 #60: mergings( V1 == V8, V2 == V9, V3 == V10, V4 == V5, V5 == V11, V6 == V7, V7 == V12; #52 ), references = 1, size of lhs = 8:
% 2.06/2.24 P_u-{F}(V0), P_v-{F}(V0), P_u1-{F}(V1), P_v1-{F}(V1), P_lower_dimension_point_1-{F}(V2), P_lower_dimension_point_2-{F}(V3), P_lower_dimension_point_3-{F}(V4), P_w-{F}(V5) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #69: mergings( V1 == V8, V2 == V9, V3 == V10, V4 == V5, V5 == V11, V6 == V7, V7 == V12; #61 ), references = 2, size of lhs = 7:
% 2.06/2.24 P_u-{F}(V0), P_v-{F}(V0), P_u1-{F}(V1), P_v1-{F}(V1), P_lower_dimension_point_1-{F}(V2), P_lower_dimension_point_2-{F}(V3), P_lower_dimension_point_3-{F}(V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #73: exists( #34, #71 ), references = 1, size of lhs = 7:
% 2.06/2.24 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_u1-{F}(V5), equidistant-{F}(V3,V4,V6,V6) | P_v1-{T}(V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #81: mergings( V1 == V8, V2 == V9, V3 == V10, V4 == V7, V5 == V7; #75 ), references = 2, size of lhs = 6:
% 2.06/2.24 P_u-{F}(V0), P_v-{F}(V0), equidistant-{F}(V0,V0,V1,V1), P_lower_dimension_point_1-{F}(V2), P_lower_dimension_point_2-{F}(V3), P_lower_dimension_point_3-{F}(V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #86: exists( #36, #84 ), references = 1, size of lhs = 9:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6), P_w-{F}(V7), equidistant-{F}(V4,V7,V8,V8) | P_w1-{T}(V6)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #93: exists( #23, #91 ), references = 5, size of lhs = 3:
% 2.06/2.24 #-{F} V0, #-{F} V1, #-{F} V2 | P_extension-{T}(V0,V1,V2,V2,V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #97: exists( #27, #95 ), references = 1, size of lhs = 2:
% 2.06/2.24 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V0) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #139: mergings( V1 == V8, V8 == V16, V16 == V24, V2 == V9, V9 == V17, V17 == V25, V3 == V10, V10 == V18, V18 == V26, V4 == V11, V11 == V19, V19 == V27, V5 == V12, V12 == V20, V20 == V28, V6 == V13, V13 == V21, V21 == V29, V14 == V22, V22 == V30, V7 == V15, V15 == V23, V23 == V31; #115 ), references = 2, size of lhs = 14:
% 2.06/2.24 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_u1-{F}(V5), P_v1-{F}(V6), V5 == V6, equidistant-{F}(V5,V6,V3,V4), P_w-{F}(V7), equidistant-{F}(V4,V7,V4,V7), equidistant-{F}(V5,V5,V3,V8), equidistant-{F}(V6,V5,V4,V8), equidistant-{F}(V7,V8,V3,V7) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #144: exists( #35, #142 ), references = 2, size of lhs = 11:
% 2.06/2.24 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_u1-{F}(V5), equidistant-{F}(V5,V5,V3,V3), P_v1-{F}(V6), V5 == V6, equidistant-{F}(V5,V6,V3,V4), equidistant-{F}(V6,V5,V4,V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #160: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #154 ), references = 2, size of lhs = 9:
% 2.06/2.24 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,V4,V3,V4), equidistant-{F}(V3,V4,V4,V3), P_u1-{F}(V5), equidistant-{F}(V5,V5,V3,V3) | P_v1-{T}(V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #175: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #169 ), references = 2, size of lhs = 10:
% 2.06/2.24 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}(V3,V4,V3,V4), equidistant-{F}(V3,V4,V4,V3), equidistant-{F}(V5,V6,V3,V3), equidistant-{F}(V7,V7,V5,V6) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #184: exists( #32, #182 ), references = 2, size of lhs = 6:
% 2.06/2.24 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}(V5,V5,V4,V4) | P_v-{T}(V3)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #195: mergings( V1 == V4, V2 == V5, V3 == V6; #191 ), references = 1, size of lhs = 6:
% 2.06/2.24 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), equidistant-{F}(V4,V4,V5,V5), equidistant-{F}(V6,V6,V4,V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #199: mergings( V1 == V3, V2 == V4; #196 ), references = 1, size of lhs = 5:
% 2.06/2.24 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), equidistant-{F}(V2,V2,V3,V3), equidistant-{F}(V3,V3,V4,V4), equidistant-{F}(V5,V5,V3,V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #202: mergings( V1 == V2; #200 ), references = 1, size of lhs = 4:
% 2.06/2.24 P_lower_dimension_point_1-{F}(V0), equidistant-{F}(V1,V1,V2,V2), equidistant-{F}(V2,V2,V3,V3), equidistant-{F}(V4,V4,V2,V2) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #204: exists( #25, #200 ), references = 1, size of lhs = 3:
% 2.06/2.24 equidistant-{F}(V0,V0,V1,V1), equidistant-{F}(V1,V1,V2,V2), equidistant-{F}(V3,V3,V1,V1) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #206: #0+#203, references = 1, size of lhs = 1:
% 2.06/2.24 #-{F} V0 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 number of learnt formulas = 17
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/2.24
% 2.06/2.24 randbase = 1
%------------------------------------------------------------------------------