TSTP Solution File: GEO043-3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO043-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:01:33 EDT 2022
% Result : Unsatisfiable 9.74s 9.94s
% Output : Refutation 9.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO043-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 18:07:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.74/9.94 GeoParameters:
% 9.74/9.94
% 9.74/9.94 tptp_input = 1
% 9.74/9.94 tptp_output = 0
% 9.74/9.94 nonempty = 1
% 9.74/9.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/9.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 9.74/9.94
% 9.74/9.94
% 9.74/9.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/9.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/9.94
% 9.74/9.94 RuleSystem INPUT:
% 9.74/9.94
% 9.74/9.94 Initial Rules:
% 9.74/9.94 #0: input, references = 3, size of lhs = 2:
% 9.74/9.94 #-{F} V0, #-{F} V1 | equidistant-{T}(V0,V1,V1,V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #1: input, references = 3, size of lhs = 2:
% 9.74/9.94 equidistant-{F}(V5,V4,V0,V1), equidistant-{F}(V5,V4,V2,V3) | equidistant-{T}(V0,V1,V2,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #2: input, references = 3, size of lhs = 2:
% 9.74/9.94 equidistant-{F}(V0,V1,V2,V2), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #3: input, references = 3, size of lhs = 1:
% 9.74/9.94 P_extension-{F}(V0,V1,V3,V2,V4) | between-{T}(V0,V1,V4)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #4: input, references = 3, size of lhs = 1:
% 9.74/9.94 P_extension-{F}(V0,V1,V3,V2,V4) | equidistant-{T}(V1,V4,V3,V2)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #5: input, references = 3, size of lhs = 7:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #6: input, references = 5, size of lhs = 2:
% 9.74/9.94 between-{F}(V0,V1,V0), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #7: input, references = 4, size of lhs = 3:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #8: input, references = 4, size of lhs = 3:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #9: input, references = 4, size of lhs = 4:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #10: input, references = 3, size of lhs = 4:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #11: input, references = 3, size of lhs = 4:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #12: input, references = 3, size of lhs = 7:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #13: input, references = 3, size of lhs = 7:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #14: input, references = 3, size of lhs = 7:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #15: input, references = 3, size of lhs = 8:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #16: input, references = 4, size of lhs = 8:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #17: input, references = 3, size of lhs = 8:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #18: input, references = 5, size of lhs = 6:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #19: input, references = 3, size of lhs = 5:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #20: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #21: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #22: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #23: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #24: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #25: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #26: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #27: input, references = 3, size of lhs = 5:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #28: input, references = 4, size of lhs = 5:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #29: input, references = 3, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #30: input, references = 3, size of lhs = 4:
% 9.74/9.94 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) | between-{T}(V4,V3,V5)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #31: input, references = 3, size of lhs = 4:
% 9.74/9.94 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) | equidistant-{T}(V3,V5,V4,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #32: input, references = 4, size of lhs = 5:
% 9.74/9.94 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,V3,V5), V3 == V5 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #33: input, references = 3, size of lhs = 5:
% 9.74/9.94 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,V3,V4), V3 == V4 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #34: input, references = 3, size of lhs = 5:
% 9.74/9.94 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,V5,V5), V4 == V5 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #35: input, references = 3, size of lhs = 5:
% 9.74/9.94 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,V4,V3,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #36: input, references = 3, size of lhs = 7:
% 9.74/9.94 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), equidistant-{F}(V6,V8,V4,V3), equidistant-{F}(V8,V7,V3,V5), between-{F}(V6,V8,V7) | equidistant-{T}(V6,V7,V4,V5)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #37: input, references = 3, size of lhs = 8:
% 9.74/9.94 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), between-{F}(V4,V3,V6), equidistant-{F}(V3,V5,V3,V6), V4 == V3, V5 == V6 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #38: input, references = 3, size of lhs = 7:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_extension-{F}(V4,V3,V3,V5,V6), between-{F}(V4,V3,V5), V4 == V3, V5 == V6 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #39: input, references = 3, size of lhs = 8:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_extension-{F}(V4,V3,V5,V8,V9), P_extension-{F}(V4,V3,V7,V6,V10), equidistant-{F}(V5,V8,V7,V6), V4 == V3, V9 == V10 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #40: input, references = 3, size of lhs = 7:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), P_extension-{F}(V4,V3,V4,V3,V5), P_extension-{F}(V4,V3,V3,V4,V6), V5 == V6, V4 == V3 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #41: input, references = 3, size of lhs = 5:
% 9.74/9.94 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_reflection-{F}(V5,V3,V6) | equidistant-{T}(V3,V4,V3,V6)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #42: input, references = 3, size of lhs = 6:
% 9.74/9.94 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_reflection-{F}(V5,V3,V6), V4 == V6 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #43: input, references = 4, size of lhs = 5:
% 9.74/9.94 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 | between-{T}(V4,V3,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #44: input, references = 3, size of lhs = 5:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V3,V5,V3), #-{F} V6 | between-{T}(V6,V5,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #45: input, references = 6, size of lhs = 4:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V5,V3,V4) | between-{T}(V4,V3,V5)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #46: input, references = 4, size of lhs = 5:
% 9.74/9.94 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 | between-{T}(V4,V4,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #47: input, references = 3, size of lhs = 6:
% 9.74/9.94 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), between-{F}(V3,V4,V5), V4 == V3 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #48: input, references = 3, size of lhs = 6:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), between-{F}(V5,V3,V4), between-{F}(V5,V4,V3), V3 == V4 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #49: input, references = 3, size of lhs = 7:
% 9.74/9.94 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), between-{F}(V3,V4,V5), V4 == V3, V3 == V5 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #50: input, references = 3, size of lhs = 7:
% 9.74/9.94 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), between-{F}(V4,V5,V3), V4 == V3, V3 == V5 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #51: input, references = 4, size of lhs = 6:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #52: input, references = 5, size of lhs = 7:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #53: input, references = 6, size of lhs = 8:
% 9.74/9.94 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}(V4,V5,V6) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #54: input, references = 4, size of lhs = 4:
% 9.74/9.94 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_extension-{T}(V0,V1,V2,V3,V4)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #55: input, references = 4, size of lhs = 5:
% 9.74/9.94 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_inner_pasch-{T}(V0,V1,V2,V3,V4,V5)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #56: input, references = 4, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_lower_dimension_point_1-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #57: input, references = 4, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_lower_dimension_point_2-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #58: input, references = 5, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_lower_dimension_point_3-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #59: input, references = 3, size of lhs = 5:
% 9.74/9.94 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid1-{T}(V0,V1,V2,V3,V4,V5)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #60: input, references = 3, size of lhs = 5:
% 9.74/9.94 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_euclid2-{T}(V0,V1,V2,V3,V4,V5)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #61: input, references = 4, size of lhs = 6:
% 9.74/9.94 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_continuous-{T}(V0,V1,V2,V3,V4,V5,V6)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #62: input, references = 4, size of lhs = 2:
% 9.74/9.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_reflection-{T}(V0,V1,V2)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #63: input, references = 4, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_u-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #64: input, references = 4, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_v-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #65: input, references = 5, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_w-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #66: input, references = 6, size of lhs = 0:
% 9.74/9.94 FALSE | EXISTS V0: P_x-{T}(V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 number of initial rules = 67
% 9.74/9.94
% 9.74/9.94 Simplifiers:
% 9.74/9.94 #67: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_extension-{F}(V0,V1,V2,V3,V4), P_extension-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #68: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_inner_pasch-{F}(V0,V1,V2,V3,V4,V5), P_inner_pasch-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #69: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_1-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #70: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_lower_dimension_point_2-{F}(V0), P_lower_dimension_point_2-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #71: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_lower_dimension_point_3-{F}(V0), P_lower_dimension_point_3-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #72: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_euclid1-{F}(V0,V1,V2,V3,V4,V5), P_euclid1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #73: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_euclid2-{F}(V0,V1,V2,V3,V4,V5), P_euclid2-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #74: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_continuous-{F}(V0,V1,V2,V3,V4,V5,V6), P_continuous-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #75: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_reflection-{F}(V0,V1,V2), P_reflection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #76: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #77: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #78: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_w-{F}(V0), P_w-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #79: unsound, references = 3, size of lhs = 3:
% 9.74/9.94 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 number of simplifiers = 13
% 9.74/9.94
% 9.74/9.94 Learnt:
% 9.74/9.94 #84: mergings( V1 == V3, V2 == V3; #81 ), references = 1, size of lhs = 2:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V0) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #89: exists( #54, #28 ), references = 1, size of lhs = 6:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #90: exists( #54, #18 ), references = 1, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #100: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #93 ), references = 1, size of lhs = 6:
% 9.74/9.94 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}(V4) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #104: exists( #62, #32 ), references = 1, size of lhs = 4:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2), #-{F} V3 | P_reflection-{T}(V3,V3,V3)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #105: exists( #62, #18 ), references = 1, size of lhs = 4:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #118: exists( #61, #114 ), references = 1, size of lhs = 7:
% 9.74/9.94 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)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #134: exists( #55, #130 ), references = 2, size of lhs = 2:
% 9.74/9.94 between-{F}(V0,V1,V2), between-{F}(V3,V0,V2) | P_inner_pasch-{T}(V0,V1,V2,V0,V3,V0)
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #145: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V9 == V5; #139 ), references = 1, size of lhs = 6:
% 9.74/9.94 P_v-{F}(V0), P_u-{F}(V0), P_lower_dimension_point_1-{F}(V1), P_lower_dimension_point_2-{F}(V2), P_lower_dimension_point_3-{F}(V3), P_w-{F}(V4) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #152: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V9 == V5; #146 ), references = 1, size of lhs = 5:
% 9.74/9.94 P_v-{F}(V0), P_u-{F}(V0), P_lower_dimension_point_1-{F}(V1), P_lower_dimension_point_2-{F}(V2), P_lower_dimension_point_3-{F}(V3) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #166: mergings( V1 == V6, V6 == V9, V2 == V7, V7 == V10, V3 == V8, V8 == V11, V4 == V12, V5 == V13; #157 ), references = 1, size of lhs = 7:
% 9.74/9.94 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-{F}(V5,V4,V3) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #184: mergings( V1 == V4, V4 == V7, V7 == V12, V12 == V15, V2 == V5, V5 == V8, V8 == V13, V13 == V16, V3 == V6, V6 == V9, V9 == V14, V14 == V17, V10 == V18, V11 == V19; #169 ), references = 1, size of lhs = 5:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #199: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V14, V2 == V5, V5 == V8, V8 == V12, V12 == V15, V3 == V6, V6 == V9, V9 == V13, V13 == V16, V10 == V17; #185 ), references = 1, size of lhs = 4:
% 9.74/9.94 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
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #213: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V3 == V6, V6 == V9, V9 == V12, V12 == V15; #200 ), references = 1, size of lhs = 3:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1), P_lower_dimension_point_3-{F}(V2) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #223: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V10; #214 ), references = 1, size of lhs = 2:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0), P_lower_dimension_point_2-{F}(V1) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #229: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #224 ), references = 1, size of lhs = 1:
% 9.74/9.94 P_lower_dimension_point_1-{F}(V0) | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 #231: exists( #56, #224 ), references = 1, size of lhs = 0:
% 9.74/9.94 FALSE | FALSE
% 9.74/9.94 (used 0 times, uses = {})
% 9.74/9.94
% 9.74/9.94 number of learnt formulas = 17
% 9.74/9.94
% 9.74/9.94
% 9.74/9.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/9.94
% 9.74/9.94 randbase = 1
%------------------------------------------------------------------------------