TSTP Solution File: GEO215+2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 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 06:02:07 EDT 2022
% Result : Theorem 2.61s 2.85s
% Output : Refutation 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 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 18:12:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.61/2.85 GeoParameters:
% 2.61/2.85
% 2.61/2.85 tptp_input = 1
% 2.61/2.85 tptp_output = 0
% 2.61/2.85 nonempty = 1
% 2.61/2.85 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/2.85 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.61/2.85
% 2.61/2.85
% 2.61/2.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/2.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/2.85
% 2.61/2.85 RuleSystem INPUT:
% 2.61/2.85
% 2.61/2.85 Initial Rules:
% 2.61/2.85 #0: input, references = 5, size of lhs = 1:
% 2.61/2.85 distinct_points-{F}(V0,V0) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #1: input, references = 3, size of lhs = 1:
% 2.61/2.85 distinct_lines-{F}(V0,V0) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #2: input, references = 3, size of lhs = 1:
% 2.61/2.85 convergent_lines-{F}(V0,V0) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #3: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #4: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #5: input, references = 5, size of lhs = 2:
% 2.61/2.85 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #6: input, references = 3, size of lhs = 3:
% 2.61/2.85 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #7: input, references = 3, size of lhs = 3:
% 2.61/2.85 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #8: input, references = 4, size of lhs = 3:
% 2.61/2.85 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #9: input, references = 4, size of lhs = 3:
% 2.61/2.85 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #10: input, references = 3, size of lhs = 2:
% 2.61/2.85 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #11: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #12: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #13: input, references = 4, size of lhs = 1:
% 2.61/2.85 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #14: input, references = 4, size of lhs = 2:
% 2.61/2.85 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #15: input, references = 3, size of lhs = 2:
% 2.61/2.85 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #16: input, references = 3, size of lhs = 2:
% 2.61/2.85 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #17: input, references = 8, size of lhs = 2:
% 2.61/2.85 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #18: input, references = 3, size of lhs = 3:
% 2.61/2.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #19: input, references = 3, size of lhs = 3:
% 2.61/2.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #20: input, references = 3, size of lhs = 3:
% 2.61/2.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #21: input, references = 3, size of lhs = 3:
% 2.61/2.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #22: input, references = 3, size of lhs = 2:
% 2.61/2.85 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #23: input, references = 3, size of lhs = 2:
% 2.61/2.85 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #24: input, references = 10, size of lhs = 3:
% 2.61/2.85 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), unorthogonal_lines-{T}(V0,V3), unorthogonal_lines-{T}(V1,V3)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #25: input, references = 4, size of lhs = 0:
% 2.61/2.85 FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #26: input, references = 4, size of lhs = 1:
% 2.61/2.85 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #27: input, references = 4, size of lhs = 1:
% 2.61/2.85 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #28: input, references = 3, size of lhs = 2:
% 2.61/2.85 pppp1-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #29: input, references = 3, size of lhs = 2:
% 2.61/2.85 pppp0-{F}(V0,V1,V2), unorthogonal_lines-{F}(V0,V2) | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #30: input, references = 4, size of lhs = 1:
% 2.61/2.85 pppp0-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #31: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #32: input, references = 4, size of lhs = 2:
% 2.61/2.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #33: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #34: input, references = 3, size of lhs = 2:
% 2.61/2.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 number of initial rules = 35
% 2.61/2.85
% 2.61/2.85 Simplifiers:
% 2.61/2.85 #35: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #36: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #37: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #38: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #39: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #40: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #41: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #42: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #43: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #44: unsound, references = 3, size of lhs = 3:
% 2.61/2.85 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 number of simplifiers = 10
% 2.61/2.85
% 2.61/2.85 Learnt:
% 2.61/2.85 #46: disj( #17, input ), references = 1, size of lhs = 1:
% 2.61/2.85 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #49: disj( #17, input ), references = 1, size of lhs = 1:
% 2.61/2.85 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #51: disj( #17, input ), references = 1, size of lhs = 1:
% 2.61/2.85 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #54: disj( #17, input ), references = 1, size of lhs = 1:
% 2.61/2.85 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #56: disj( #5, input ), references = 3, size of lhs = 1:
% 2.61/2.85 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #59: disj( #17, #56+#14 ), references = 1, size of lhs = 1:
% 2.61/2.85 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #64: disj( #5, input ), references = 1, size of lhs = 2:
% 2.61/2.85 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #67: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #76: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #77: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #80: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), pppp1-{F}(V1,V2), P_orthogonal_through_point-{F}(V2,V3,V0), #-{F} V4 | apart_point_and_line-{T}(V4,V0), apart_point_and_line-{T}(V4,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #81: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V2,V4,V1), #-{F} V5 | apart_point_and_line-{T}(V5,V0), apart_point_and_line-{T}(V5,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #91: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), #-{F} V4 | apart_point_and_line-{T}(V4,V0), apart_point_and_line-{T}(V4,V1)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #93: disj( #89, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), P_orthogonal_through_point-{F}(V4,V5,V1) | apart_point_and_line-{T}(V5,V0)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #98: disj( #95, input ), references = 1, size of lhs = 4:
% 2.61/2.85 distinct_lines-{F}(V0,V1), pppp1-{F}(V1,V2), P_parallel_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V5,V4,V1) | unorthogonal_lines-{T}(V0,V2)
% 2.61/2.85 (used 0 times, uses = {})
% 2.61/2.85
% 2.61/2.85 #99: disj( #95, input ), references = 1, size of lhs = 4:
% 2.61/2.86 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1), P_orthogonal_through_point-{F}(V5,V6,V1) | unorthogonal_lines-{T}(V0,V5)
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #104: disj( #24, input, input ), references = 3, size of lhs = 4:
% 2.61/2.86 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), pppp0-{F}(V1,V3,V2), #-{F} V4 | apart_point_and_line-{T}(V4,V0), apart_point_and_line-{T}(V4,V1)
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #105: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.86 distinct_lines-{F}(V0,V1), pppp0-{F}(V1,V2,V3), P_orthogonal_through_point-{F}(V3,V4,V0), #-{F} V5 | apart_point_and_line-{T}(V5,V0), apart_point_and_line-{T}(V5,V1)
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #117: disj( #104, input ), references = 1, size of lhs = 4:
% 2.61/2.86 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), pppp0-{F}(V1,V3,V2), P_orthogonal_through_point-{F}(V4,V5,V0) | apart_point_and_line-{T}(V5,V1)
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #131: disj( #24, input, input ), references = 1, size of lhs = 4:
% 2.61/2.86 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #138: disj( #104, #9+#0 ), references = 2, size of lhs = 5:
% 2.61/2.86 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), pppp1-{F}(V1,V3), pppp0-{F}(V2,V4,V3), P_intersection_point-{F}(V0,V1,V5) | apart_point_and_line-{T}(V5,V2)
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #149: exists( #32, #147 ), references = 1, size of lhs = 4:
% 2.61/2.86 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), pppp1-{F}(V0,V2), pppp0-{F}(V1,V3,V2) | FALSE
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #154: exists( #27, #152 ), references = 1, size of lhs = 1:
% 2.61/2.86 pppp1-{F}(V0,V1) | FALSE
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #156: exists( #26, #153 ), references = 1, size of lhs = 1:
% 2.61/2.86 pppp2-{F}(V0) | FALSE
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 #158: exists( #25, #155 ), references = 1, size of lhs = 0:
% 2.61/2.86 FALSE | FALSE
% 2.61/2.86 (used 0 times, uses = {})
% 2.61/2.86
% 2.61/2.86 number of learnt formulas = 25
% 2.61/2.86
% 2.61/2.86
% 2.61/2.86 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/2.86
% 2.61/2.86 randbase = 1
%------------------------------------------------------------------------------