TSTP Solution File: GEO200+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO200+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:02:02 EDT 2022
% Result : Theorem 0.67s 0.90s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO200+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 17:43:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/0.90 GeoParameters:
% 0.67/0.90
% 0.67/0.90 tptp_input = 1
% 0.67/0.90 tptp_output = 0
% 0.67/0.90 nonempty = 1
% 0.67/0.90 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.90 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.67/0.90
% 0.67/0.90
% 0.67/0.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.90
% 0.67/0.90 RuleSystem INPUT:
% 0.67/0.90
% 0.67/0.90 Initial Rules:
% 0.67/0.90 #0: input, references = 5, size of lhs = 1:
% 0.67/0.90 distinct_points-{F}(V0,V0) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #1: input, references = 4, size of lhs = 1:
% 0.67/0.90 distinct_lines-{F}(V0,V0) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #2: input, references = 3, size of lhs = 1:
% 0.67/0.90 convergent_lines-{F}(V0,V0) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #3: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #4: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #5: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #6: input, references = 3, size of lhs = 3:
% 0.67/0.90 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #7: input, references = 3, size of lhs = 3:
% 0.67/0.90 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #8: input, references = 3, size of lhs = 3:
% 0.67/0.90 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #9: input, references = 3, size of lhs = 3:
% 0.67/0.90 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #10: input, references = 4, size of lhs = 2:
% 0.67/0.90 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)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #11: input, references = 3, size of lhs = 2:
% 0.67/0.90 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #12: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #13: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #14: input, references = 5, size of lhs = 1:
% 0.67/0.90 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #15: input, references = 5, size of lhs = 2:
% 0.67/0.90 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #16: input, references = 3, size of lhs = 2:
% 0.67/0.90 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #17: input, references = 3, size of lhs = 2:
% 0.67/0.90 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)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #18: input, references = 7, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #19: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #20: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #21: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #22: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #23: input, references = 3, size of lhs = 2:
% 0.67/0.90 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #24: input, references = 3, size of lhs = 2:
% 0.67/0.90 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #25: input, references = 3, size of lhs = 3:
% 0.67/0.90 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)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #26: input, references = 3, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #27: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #28: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #29: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #30: input, references = 3, size of lhs = 3:
% 0.67/0.90 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #31: input, references = 3, size of lhs = 2:
% 0.67/0.90 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #32: input, references = 3, size of lhs = 4:
% 0.67/0.90 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #33: input, references = 3, size of lhs = 4:
% 0.67/0.90 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #34: input, references = 3, size of lhs = 3:
% 0.67/0.90 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #35: input, references = 3, size of lhs = 3:
% 0.67/0.90 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #36: input, references = 5, size of lhs = 2:
% 0.67/0.90 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #37: input, references = 7, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #38: input, references = 4, size of lhs = 2:
% 0.67/0.90 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #39: input, references = 5, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #40: input, references = 5, size of lhs = 2:
% 0.67/0.90 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #41: input, references = 6, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #42: input, references = 3, size of lhs = 2:
% 0.67/0.90 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #43: input, references = 6, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #44: input, references = 3, size of lhs = 2:
% 0.67/0.90 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #45: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #46: input, references = 4, size of lhs = 0:
% 0.67/0.90 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #47: input, references = 4, size of lhs = 1:
% 0.67/0.90 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #48: input, references = 3, size of lhs = 4:
% 0.67/0.90 pppp0-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), equal_lines-{F}(V2,V3) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #49: input, references = 4, size of lhs = 3:
% 0.67/0.90 pppp0-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | distinct_points-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #50: input, references = 5, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #51: input, references = 3, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #52: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #53: input, references = 4, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 number of initial rules = 54
% 0.67/0.90
% 0.67/0.90 Simplifiers:
% 0.67/0.90 #54: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #55: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #56: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #57: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #58: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #59: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #60: unsound, references = 3, size of lhs = 3:
% 0.67/0.90 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 number of simplifiers = 7
% 0.67/0.90
% 0.67/0.90 Learnt:
% 0.67/0.90 #62: disj( #37, input ), references = 1, size of lhs = 1:
% 0.67/0.90 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #64: disj( #18, input ), references = 1, size of lhs = 1:
% 0.67/0.90 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #66: disj( #41, input ), references = 1, size of lhs = 1:
% 0.67/0.90 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #68: disj( #18, input ), references = 2, size of lhs = 1:
% 0.67/0.90 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #71: disj( #18, input ), references = 1, size of lhs = 1:
% 0.67/0.90 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #73: disj( #39, input ), references = 1, size of lhs = 1:
% 0.67/0.90 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #77: exists( #50, #74 ), references = 1, size of lhs = 3:
% 0.67/0.90 pppp0-{F}(V0,V1), equal_points-{F}(V0,V1), P_line_connecting-{F}(V1,V0,V2) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #79: exists( #50, #76 ), references = 1, size of lhs = 2:
% 0.67/0.90 pppp0-{F}(V0,V1), equal_points-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #81: disj( #37, exists( #50, #76 ) ), references = 2, size of lhs = 1:
% 0.67/0.90 pppp0-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #83: disj( #43, input ), references = 1, size of lhs = 1:
% 0.67/0.90 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #85: disj( #41, input ), references = 1, size of lhs = 1:
% 0.67/0.90 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #89: disj( #12, input ), references = 1, size of lhs = 2:
% 0.67/0.90 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #90: disj( #12, input ), references = 2, size of lhs = 2:
% 0.67/0.90 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #91: disj( #12, input ), references = 1, size of lhs = 3:
% 0.67/0.90 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #96: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 0.67/0.90 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #97: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.67/0.90 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #100: disj( #43, #90+#38 ), references = 1, size of lhs = 2:
% 0.67/0.90 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #102: disj( #4, input ), references = 1, size of lhs = 2:
% 0.67/0.90 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #111: exists( #52, #107 ), references = 2, size of lhs = 1:
% 0.67/0.90 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #114: disj( #43, exists( #52, #107 ) ), references = 1, size of lhs = 2:
% 0.67/0.90 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #117: disj( #5, input ), references = 3, size of lhs = 1:
% 0.67/0.90 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #118: disj( #5, input ), references = 1, size of lhs = 2:
% 0.67/0.90 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #123: disj( #41, #117+#15 ), references = 1, size of lhs = 1:
% 0.67/0.90 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #124: disj( #41, #117+#40 ), references = 1, size of lhs = 1:
% 0.67/0.90 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #126: disj( #18, input ), references = 1, size of lhs = 1:
% 0.67/0.90 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #129: disj( #13, input ), references = 1, size of lhs = 1:
% 0.67/0.90 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #130: disj( #13, input ), references = 1, size of lhs = 2:
% 0.67/0.90 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #132: disj( #45, input ), references = 1, size of lhs = 1:
% 0.67/0.90 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #134: disj( #3, input ), references = 4, size of lhs = 2:
% 0.67/0.90 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #139: disj( #37, #134+#0 ), references = 1, size of lhs = 1:
% 0.67/0.90 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #140: disj( #37, #134+#36 ), references = 1, size of lhs = 2:
% 0.67/0.90 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #145: disj( #37, #134+#0 ), references = 1, size of lhs = 1:
% 0.67/0.90 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #158: disj( #10, exists( #52, #107 ), exists( #52, #107 ), exists( #52, #107 ) ), references = 1, size of lhs = 2:
% 0.67/0.90 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #165: exists( #47, #161 ), references = 1, size of lhs = 2:
% 0.67/0.90 pppp1-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #173: exists( #53, #169 ), references = 1, size of lhs = 1:
% 0.67/0.90 pppp1-{F}(V0) | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 #176: exists( #46, #171 ), references = 1, size of lhs = 0:
% 0.67/0.90 FALSE | FALSE
% 0.67/0.90 (used 0 times, uses = {})
% 0.67/0.90
% 0.67/0.90 number of learnt formulas = 36
% 0.67/0.90
% 0.67/0.90
% 0.67/0.90 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.90
% 0.67/0.90 randbase = 1
%------------------------------------------------------------------------------