TSTP Solution File: GEO205+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO205+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:02:04 EDT 2022
% Result : Theorem 99.80s 100.02s
% Output : Refutation 99.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO205+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 17:52:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 99.80/100.02 GeoParameters:
% 99.80/100.02
% 99.80/100.02 tptp_input = 1
% 99.80/100.02 tptp_output = 0
% 99.80/100.02 nonempty = 1
% 99.80/100.02 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.80/100.02 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 99.80/100.02
% 99.80/100.02
% 99.80/100.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.80/100.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.80/100.02
% 99.80/100.02 RuleSystem INPUT:
% 99.80/100.02
% 99.80/100.02 Initial Rules:
% 99.80/100.02 #0: input, references = 5, size of lhs = 1:
% 99.80/100.02 distinct_points-{F}(V0,V0) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #1: input, references = 3, size of lhs = 1:
% 99.80/100.02 distinct_lines-{F}(V0,V0) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #2: input, references = 7, size of lhs = 1:
% 99.80/100.02 convergent_lines-{F}(V0,V0) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #3: input, references = 4, size of lhs = 2:
% 99.80/100.02 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #4: input, references = 3, size of lhs = 2:
% 99.80/100.02 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #5: input, references = 4, size of lhs = 2:
% 99.80/100.02 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #6: input, references = 3, size of lhs = 3:
% 99.80/100.02 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #7: input, references = 4, size of lhs = 3:
% 99.80/100.02 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #8: input, references = 5, size of lhs = 3:
% 99.80/100.02 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #9: input, references = 3, size of lhs = 3:
% 99.80/100.02 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #10: input, references = 4, size of lhs = 2:
% 99.80/100.02 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)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #11: input, references = 4, size of lhs = 2:
% 99.80/100.02 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #12: input, references = 4, size of lhs = 2:
% 99.80/100.02 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #13: input, references = 4, size of lhs = 2:
% 99.80/100.02 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #14: input, references = 7, size of lhs = 1:
% 99.80/100.02 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #15: input, references = 7, size of lhs = 2:
% 99.80/100.02 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #16: input, references = 5, size of lhs = 2:
% 99.80/100.02 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #17: input, references = 3, size of lhs = 2:
% 99.80/100.02 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)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #18: input, references = 8, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #19: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #20: input, references = 4, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #21: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #22: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #23: input, references = 4, size of lhs = 2:
% 99.80/100.02 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #24: input, references = 3, size of lhs = 2:
% 99.80/100.02 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #25: input, references = 5, size of lhs = 3:
% 99.80/100.02 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)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #26: input, references = 3, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #27: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #28: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #29: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #30: input, references = 3, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #31: input, references = 3, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #32: input, references = 3, size of lhs = 4:
% 99.80/100.02 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #33: input, references = 3, size of lhs = 4:
% 99.80/100.02 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #34: input, references = 3, size of lhs = 3:
% 99.80/100.02 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #35: input, references = 3, size of lhs = 3:
% 99.80/100.02 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #36: input, references = 7, size of lhs = 2:
% 99.80/100.02 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #37: input, references = 9, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #38: input, references = 5, size of lhs = 2:
% 99.80/100.02 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #39: input, references = 6, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #40: input, references = 10, size of lhs = 2:
% 99.80/100.02 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #41: input, references = 7, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #42: input, references = 5, size of lhs = 2:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #43: input, references = 12, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #44: input, references = 4, size of lhs = 2:
% 99.80/100.02 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #45: input, references = 7, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #46: input, references = 4, size of lhs = 0:
% 99.80/100.02 FALSE | EXISTS V0: pppp2-{T}(V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #47: input, references = 4, size of lhs = 1:
% 99.80/100.02 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #48: input, references = 5, size of lhs = 1:
% 99.80/100.02 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #49: input, references = 4, size of lhs = 1:
% 99.80/100.02 pppp1-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #50: input, references = 5, size of lhs = 5:
% 99.80/100.02 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4), convergent_lines-{F}(V0,V2), equal_points-{F}(V3,V4) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #51: input, references = 6, size of lhs = 3:
% 99.80/100.02 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #52: input, references = 3, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #53: input, references = 9, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #54: input, references = 6, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #55: input, references = 4, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 number of initial rules = 56
% 99.80/100.02
% 99.80/100.02 Simplifiers:
% 99.80/100.02 #56: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #57: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #58: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #59: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #60: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #61: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #62: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #63: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #64: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #65: unsound, references = 3, size of lhs = 3:
% 99.80/100.02 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 number of simplifiers = 10
% 99.80/100.02
% 99.80/100.02 Learnt:
% 99.80/100.02 #67: disj( #37, input ), references = 2, size of lhs = 1:
% 99.80/100.02 #-{F} V0 | equal_points-{T}(V0,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #69: disj( #18, input ), references = 1, size of lhs = 1:
% 99.80/100.02 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #71: disj( #41, input ), references = 3, size of lhs = 1:
% 99.80/100.02 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #73: disj( #18, input ), references = 2, size of lhs = 1:
% 99.80/100.02 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #76: disj( #18, input ), references = 1, size of lhs = 1:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #78: disj( #43, input ), references = 6, size of lhs = 1:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #81: disj( #5, input ), references = 12, size of lhs = 1:
% 99.80/100.02 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #82: disj( #5, input ), references = 8, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #85: disj( #41, #81+#15 ), references = 5, size of lhs = 1:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #87: disj( #18, input ), references = 1, size of lhs = 1:
% 99.80/100.02 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #92: disj( #39, #14+#15 ), references = 4, size of lhs = 1:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #93: disj( #39, #14+#40 ), references = 5, size of lhs = 1:
% 99.80/100.02 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #96: disj( #13, input ), references = 6, size of lhs = 1:
% 99.80/100.02 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #97: disj( #13, input ), references = 1, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #99: disj( #43, input ), references = 1, size of lhs = 2:
% 99.80/100.02 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #109: disj( #10, input, input, input ), references = 4, size of lhs = 5:
% 99.80/100.02 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), distinct_lines-{F}(V2,V3), incident_point_and_line-{F}(V1,V3) | apart_point_and_line-{T}(V0,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #110: disj( #10, input, input, input ), references = 1, size of lhs = 6:
% 99.80/100.02 distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V1), P_line_connecting-{F}(V2,V1,V3), incident_point_and_line-{F}(V0,V3), distinct_lines-{F}(V3,V4), incident_point_and_line-{F}(V1,V4) | apart_point_and_line-{T}(V0,V4)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #111: disj( #10, input, input, input ), references = 2, size of lhs = 6:
% 99.80/100.02 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V1), incident_point_and_line-{F}(V4,V2) | apart_point_and_line-{T}(V3,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #120: exists( #54, #116 ), references = 2, size of lhs = 6:
% 99.80/100.02 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), distinct_lines-{F}(V2,V3), incident_point_and_line-{F}(V0,V3), P_parallel_through_point-{F}(V4,V1,V3) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #121: exists( #54, #117 ), references = 1, size of lhs = 7:
% 99.80/100.02 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), incident_point_and_line-{F}(V2,V3), incident_point_and_line-{F}(V1,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V0,V1,V4), P_parallel_through_point-{F}(V5,V2,V4) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #124: disj( #43, exists( #54, #116 ) ), references = 1, size of lhs = 5:
% 99.80/100.02 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), distinct_lines-{F}(V2,V3), P_parallel_through_point-{F}(V4,V1,V3) | apart_point_and_line-{T}(V0,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #130: disj( #3, input ), references = 5, size of lhs = 2:
% 99.80/100.02 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #131: disj( #3, input ), references = 1, size of lhs = 3:
% 99.80/100.02 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V1,V3,V2) | distinct_points-{T}(V0,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #132: disj( #3, input ), references = 1, size of lhs = 3:
% 99.80/100.02 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V1,V2,V3), apart_point_and_line-{F}(V2,V3) | distinct_points-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #135: disj( #37, #127+#36 ), references = 2, size of lhs = 5:
% 99.80/100.02 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2), equal_points-{F}(V0,V2), #-{F} V3, #-{F} V4 | distinct_points-{T}(V3,V4)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #142: disj( #37, #130+#0 ), references = 4, size of lhs = 1:
% 99.80/100.02 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #143: disj( #37, #135+#36 ), references = 3, size of lhs = 3:
% 99.80/100.02 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1), equal_points-{F}(V3,V4) | equal_points-{T}(V2,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #145: disj( #45, input ), references = 2, size of lhs = 1:
% 99.80/100.02 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #149: disj( #41, #82+#96+#38 ), references = 5, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | convergent_lines-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #151: disj( #43, input ), references = 2, size of lhs = 1:
% 99.80/100.02 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #158: disj( #37, #130+#0 ), references = 2, size of lhs = 1:
% 99.80/100.02 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #159: disj( #37, #130+#36 ), references = 1, size of lhs = 2:
% 99.80/100.02 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #160: disj( #37, #130+#120 ), references = 1, size of lhs = 6:
% 99.80/100.02 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V0,V2), incident_point_and_line-{F}(V3,V2), distinct_lines-{F}(V2,V4), incident_point_and_line-{F}(V0,V4), P_parallel_through_point-{F}(V5,V3,V4) | distinct_points-{T}(V1,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #171: disj( #20, input ), references = 5, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #172: disj( #20, input ), references = 1, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #179: disj( #45, #169+#2 ), references = 2, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #180: disj( #45, #169+#40 ), references = 1, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #181: disj( #45, #169+#15 ), references = 1, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #194: disj( #37, #158+#111+#8 ), references = 1, size of lhs = 7:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_lines-{F}(V1,V4), incident_point_and_line-{F}(V0,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V3) | equal_points-{T}(V0,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #198: disj( #43, input ), references = 2, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #220: disj( #45, #171+#149+#2 ), references = 1, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), equal_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #221: disj( #45, #171+#149+#40 ), references = 1, size of lhs = 4:
% 99.80/100.02 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), equal_lines-{F}(V2,V3) | unorthogonal_lines-{T}(V1,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #234: disj( #45, #176+#217+#171+#2 ), references = 4, size of lhs = 5:
% 99.80/100.02 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), equal_lines-{F}(V0,V2), convergent_lines-{F}(V1,V2), orthogonal_lines-{F}(V2,V1) | orthogonal_lines-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #235: disj( #45, #176+#217+#179+#23 ), references = 1, size of lhs = 5:
% 99.80/100.02 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), equal_lines-{F}(V1,V2), convergent_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V0,V3,V2) | orthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #236: disj( #45, #176+#217+#171+#40 ), references = 3, size of lhs = 6:
% 99.80/100.02 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), equal_lines-{F}(V1,V2), convergent_lines-{F}(V0,V2), orthogonal_lines-{F}(V2,V3), parallel_lines-{F}(V0,V3) | orthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #238: disj( #43, input ), references = 2, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #248: disj( #25, input, input ), references = 1, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), #-{F} V3 | unorthogonal_lines-{T}(V1,V3), unorthogonal_lines-{T}(V2,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #249: disj( #25, input, input ), references = 1, size of lhs = 5:
% 99.80/100.02 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), incident_point_and_line-{F}(V2,V3), distinct_lines-{F}(V3,V1), #-{F} V4 | unorthogonal_lines-{T}(V3,V4), unorthogonal_lines-{T}(V1,V4)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #252: disj( #11, input ), references = 2, size of lhs = 2:
% 99.80/100.02 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #253: disj( #11, input ), references = 1, size of lhs = 3:
% 99.80/100.02 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #260: disj( #43, #252+#36 ), references = 5, size of lhs = 2:
% 99.80/100.02 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #271: disj( #25, input, input ), references = 1, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), P_parallel_through_point-{F}(V3,V0,V2), #-{F} V4 | unorthogonal_lines-{T}(V2,V4), unorthogonal_lines-{T}(V1,V4)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #273: disj( #262, input ), references = 2, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), orthogonal_lines-{F}(V1,V3) | unorthogonal_lines-{T}(V2,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #276: exists( #53, #274 ), references = 2, size of lhs = 2:
% 99.80/100.02 convergent_lines-{F}(V0,V1), pppp0-{F}(V0,V1,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #281: disj( #12, input ), references = 2, size of lhs = 2:
% 99.80/100.02 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #309: exists( #54, #303 ), references = 1, size of lhs = 5:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), incident_point_and_line-{F}(V2,V1), incident_point_and_line-{F}(V0,V3), convergent_lines-{F}(V3,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #310: exists( #54, #305 ), references = 1, size of lhs = 5:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), incident_point_and_line-{F}(V2,V1), convergent_lines-{F}(V3,V1), P_parallel_through_point-{F}(V4,V0,V3) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #311: exists( #54, #304 ), references = 1, size of lhs = 6:
% 99.80/100.02 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), incident_point_and_line-{F}(V3,V1), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #318: disj( #43, exists( #54, #303 ) ), references = 1, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), incident_point_and_line-{F}(V0,V3), convergent_lines-{F}(V3,V1) | apart_point_and_line-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #319: disj( #43, exists( #54, #305 ) ), references = 1, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), convergent_lines-{F}(V3,V1), P_parallel_through_point-{F}(V4,V0,V3) | apart_point_and_line-{T}(V2,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #320: disj( #43, exists( #54, #304 ) ), references = 1, size of lhs = 5:
% 99.80/100.02 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), incident_point_and_line-{F}(V3,V1), distinct_points-{F}(V3,V4) | apart_point_and_line-{T}(V4,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #334: exists( #54, #329 ), references = 1, size of lhs = 1:
% 99.80/100.02 apart_point_and_line-{F}(V0,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #339: disj( #37, #315+#332 ), references = 7, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2), convergent_lines-{F}(V2,V1), #-{F} V3 | equal_points-{T}(V0,V3)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #347: disj( #18, #149+#2 ), references = 1, size of lhs = 1:
% 99.80/100.02 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #348: disj( #18, #149+#40 ), references = 1, size of lhs = 2:
% 99.80/100.02 parallel_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #353: disj( #41, #96+#38 ), references = 4, size of lhs = 1:
% 99.80/100.02 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #354: disj( #41, #81+#40 ), references = 3, size of lhs = 1:
% 99.80/100.02 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #356: disj( #43, exists( #54, #329 ) ), references = 9, size of lhs = 2:
% 99.80/100.02 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #365: exists( #53, #360 ), references = 1, size of lhs = 1:
% 99.80/100.02 pppp0-{F}(V0,V1,V1) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #367: exists( #48, #363 ), references = 1, size of lhs = 1:
% 99.80/100.02 pppp1-{F}(V0,V0) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #370: exists( #53, #368 ), references = 2, size of lhs = 6:
% 99.80/100.02 convergent_lines-{F}(V0,V1), pppp0-{F}(V0,V2,V1), P_intersection_point-{F}(V0,V2,V3), incident_point_and_line-{F}(V3,V4), incident_point_and_line-{F}(V3,V5), convergent_lines-{F}(V5,V4) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #374: exists( #53, #372 ), references = 2, size of lhs = 3:
% 99.80/100.02 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), pppp0-{F}(V0,V1,V2) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #380: disj( #39, #273+#44 ), references = 2, size of lhs = 4:
% 99.80/100.02 incident_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2), orthogonal_lines-{F}(V1,V3), orthogonal_lines-{F}(V2,V3) | equal_lines-{T}(V1,V2)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #385: exists( #53, #381 ), references = 1, size of lhs = 3:
% 99.80/100.02 parallel_lines-{F}(V0,V1), pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V2,V3) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #386: exists( #53, #382 ), references = 1, size of lhs = 3:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2), pppp0-{F}(V2,V0,V3), P_intersection_point-{F}(V2,V3,V4) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #389: exists( #53, #383 ), references = 2, size of lhs = 2:
% 99.80/100.02 parallel_lines-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #390: exists( #53, #384 ), references = 1, size of lhs = 2:
% 99.80/100.02 P_parallel_through_point-{F}(V0,V1,V2), pppp0-{F}(V2,V0,V3) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #414: disj( #39, #353+#354+#82+#81+#236+#380+#353+#389 ), references = 2, size of lhs = 7:
% 99.80/100.02 equal_lines-{F}(V0,V0), orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), orthogonal_lines-{F}(V2,V0), incident_point_and_line-{F}(V3,V2), incident_point_and_line-{F}(V3,V4), pppp0-{F}(V4,V2,V5) | distinct_lines-{T}(V1,V4)
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #429: exists( #48, #427 ), references = 2, size of lhs = 16:
% 99.80/100.02 equal_lines-{F}(V0,V0), orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), pppp1-{F}(V2,V1), orthogonal_lines-{F}(V2,V0), convergent_lines-{F}(V2,V3), equal_lines-{F}(V3,V3), orthogonal_lines-{F}(V3,V2), orthogonal_lines-{F}(V2,V3), incident_point_and_line-{F}(V4,V2), equal_points-{F}(V4,V5), equal_points-{F}(V5,V6), incident_point_and_line-{F}(V6,V7), incident_point_and_line-{F}(V6,V8), convergent_lines-{F}(V8,V7), equal_points-{F}(V9,V10) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #445: exists( #47, #443 ), references = 1, size of lhs = 19:
% 99.80/100.02 pppp2-{F}(V0), convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V1), orthogonal_lines-{F}(V1,V0), orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), equal_lines-{F}(V2,V2), convergent_lines-{F}(V2,V0), orthogonal_lines-{F}(V0,V2), incident_point_and_line-{F}(V3,V2), incident_point_and_line-{F}(V3,V4), incident_point_and_line-{F}(V3,V5), convergent_lines-{F}(V5,V4), equal_points-{F}(V6,V3), incident_point_and_line-{F}(V6,V7), incident_point_and_line-{F}(V6,V8), convergent_lines-{F}(V8,V7), equal_points-{F}(V9,V10), equal_points-{F}(V11,V12) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #465: exists( #55, #463 ), references = 2, size of lhs = 9:
% 99.80/100.02 pppp2-{F}(V0), equal_lines-{F}(V0,V1), parallel_lines-{F}(V1,V0), parallel_lines-{F}(V0,V1), incident_point_and_line-{F}(V2,V0), incident_point_and_line-{F}(V2,V1), incident_point_and_line-{F}(V3,V0), equal_points-{F}(V4,V5), equal_points-{F}(V6,V7) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #473: exists( #46, #471 ), references = 1, size of lhs = 2:
% 99.80/100.02 equal_points-{F}(V0,V1), equal_points-{F}(V2,V3) | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 #475: #66+#472, references = 1, size of lhs = 1:
% 99.80/100.02 #-{F} V0 | FALSE
% 99.80/100.02 (used 0 times, uses = {})
% 99.80/100.02
% 99.80/100.02 number of learnt formulas = 83
% 99.80/100.02
% 99.80/100.02
% 99.80/100.02 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.80/100.02
% 99.80/100.02 randbase = 1
%------------------------------------------------------------------------------