%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO234+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:02:14 EDT 2022
% Result : Theorem 213.56s 213.75s
% Output : Refutation 213.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO234+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:01:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 213.56/213.75 GeoParameters:
% 213.56/213.75
% 213.56/213.75 tptp_input = 1
% 213.56/213.75 tptp_output = 0
% 213.56/213.75 nonempty = 1
% 213.56/213.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 213.56/213.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 213.56/213.75
% 213.56/213.75
% 213.56/213.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 213.56/213.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 213.56/213.75
% 213.56/213.75 RuleSystem INPUT:
% 213.56/213.75
% 213.56/213.75 Initial Rules:
% 213.56/213.75 #0: input, references = 3, size of lhs = 1:
% 213.56/213.75 apart_point_and_line-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #1: input, references = 3, size of lhs = 1:
% 213.56/213.75 pppp0-{F}(V0,V1) | apart_point_and_line-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #2: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), pppp0-{F}(V0,V1) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #3: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #4: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | pppp0-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #5: input, references = 3, size of lhs = 1:
% 213.56/213.75 convergent_lines-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #6: input, references = 3, size of lhs = 1:
% 213.56/213.75 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #7: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #8: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), pppp1-{F}(V0,V1) | unequally_directed_lines-{T}(V0,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #9: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | pppp1-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #10: input, references = 3, size of lhs = 1:
% 213.56/213.75 divides_points-{F}(V2,V0,V1) | pppp2-{T}(V0,V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #11: input, references = 3, size of lhs = 1:
% 213.56/213.75 pppp2-{F}(V0,V2,V1) | divides_points-{T}(V2,V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #12: input, references = 3, size of lhs = 3:
% 213.56/213.75 #-{F} V0, #-{F} V2, P_reverse_line-{F}(V1,V3) | pppp5-{T}(V0,V1,V2,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #13: input, references = 3, size of lhs = 3:
% 213.56/213.75 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V3), left_apart_point-{F}(V2,V1) | pppp2-{T}(V0,V1,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #14: input, references = 3, size of lhs = 3:
% 213.56/213.75 pppp5-{F}(V0,V1,V2,V3), left_apart_point-{F}(V0,V1), left_apart_point-{F}(V2,V3) | pppp2-{T}(V0,V1,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #15: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #16: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V2,V3), left_apart_point-{T}(V0,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #17: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #18: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #19: input, references = 3, size of lhs = 1:
% 213.56/213.75 before_on_line-{F}(V0,V1,V2) | pppp3-{T}(V1,V0,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #20: input, references = 3, size of lhs = 1:
% 213.56/213.75 pppp3-{F}(V1,V0,V2) | before_on_line-{T}(V0,V1,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #21: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_reverse_line-{F}(V1,V3), P_line_connecting-{F}(V0,V2,V4), pppp3-{F}(V0,V1,V2) | pppp6-{T}(V0,V1,V2,V3,V4)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #22: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_reverse_line-{F}(V1,V3), P_line_connecting-{F}(V0,V2,V4), distinct_points-{F}(V0,V2) | pppp3-{T}(V0,V1,V2), left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V3), left_apart_point-{T}(V2,V1), left_apart_point-{T}(V2,V3), unequally_directed_lines-{T}(V1,V4)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #23: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp6-{F}(V0,V1,V2,V3,V4), unequally_directed_lines-{F}(V1,V4) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #24: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V3) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #25: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V2,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #26: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V3) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #27: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp6-{F}(V0,V1,V2,V3,V4), left_apart_point-{F}(V0,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #28: input, references = 3, size of lhs = 1:
% 213.56/213.75 pppp6-{F}(V0,V1,V2,V3,V4) | distinct_points-{T}(V0,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #29: input, references = 3, size of lhs = 1:
% 213.56/213.75 between_on_line-{F}(V0,V1,V2,V3) | pppp4-{T}(V1,V0,V2,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #30: input, references = 3, size of lhs = 1:
% 213.56/213.75 pppp4-{F}(V1,V0,V2,V3) | between_on_line-{T}(V0,V1,V2,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #31: input, references = 3, size of lhs = 4:
% 213.56/213.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp7-{T}(V0,V1,V2,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #32: input, references = 3, size of lhs = 3:
% 213.56/213.75 pppp7-{F}(V0,V1,V2,V3), before_on_line-{F}(V1,V3,V2), before_on_line-{F}(V1,V2,V0) | pppp4-{T}(V0,V1,V2,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #33: input, references = 3, size of lhs = 3:
% 213.56/213.75 pppp7-{F}(V0,V1,V2,V3), before_on_line-{F}(V1,V0,V2), before_on_line-{F}(V1,V2,V3) | pppp4-{T}(V0,V1,V2,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #34: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V2,V3), before_on_line-{T}(V1,V2,V0)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #35: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V2,V3), before_on_line-{T}(V1,V3,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #36: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V0,V2), before_on_line-{T}(V1,V2,V0)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #37: input, references = 3, size of lhs = 2:
% 213.56/213.75 pppp7-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V3) | before_on_line-{T}(V1,V0,V2), before_on_line-{T}(V1,V3,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #38: input, references = 3, size of lhs = 1:
% 213.56/213.75 distinct_points-{F}(V0,V0) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #39: input, references = 3, size of lhs = 2:
% 213.56/213.75 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #40: input, references = 3, size of lhs = 1:
% 213.56/213.75 distinct_lines-{F}(V0,V0) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #41: input, references = 3, size of lhs = 2:
% 213.56/213.75 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #42: input, references = 4, size of lhs = 1:
% 213.56/213.75 unequally_directed_lines-{F}(V0,V0) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #43: input, references = 9, size of lhs = 2:
% 213.56/213.75 #-{F} V1, unequally_directed_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), unequally_directed_lines-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #44: input, references = 3, size of lhs = 4:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V3), unequally_directed_lines-{T}(V1,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #45: input, references = 3, size of lhs = 4:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V3), unequally_directed_lines-{T}(V1,V4)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #46: input, references = 3, size of lhs = 4:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V4), unequally_directed_lines-{T}(V1,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #47: input, references = 3, size of lhs = 4:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V3,V4) | unequally_directed_lines-{T}(V0,V4), unequally_directed_lines-{T}(V1,V4)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #48: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_reverse_line-{F}(V0,V1), line-{F}(V0), line-{F}(V2) | unequally_directed_lines-{T}(V2,V0), unequally_directed_lines-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #49: input, references = 4, size of lhs = 3:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2) | left_convergent_lines-{T}(V0,V1), left_convergent_lines-{T}(V0,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #50: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #51: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), left_apart_point-{F}(V0,V2) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #52: input, references = 5, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #53: input, references = 14, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), left_convergent_lines-{F}(V0,V2) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #54: input, references = 3, size of lhs = 4:
% 213.56/213.75 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #55: input, references = 3, size of lhs = 6:
% 213.56/213.75 P_reverse_line-{F}(V0,V1), line-{F}(V0), P_intersection_point-{F}(V2,V0,V3), line-{F}(V2), unequally_directed_lines-{F}(V2,V0), unequally_directed_lines-{F}(V2,V1) | point-{T}(V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #56: input, references = 3, size of lhs = 3:
% 213.56/213.75 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #57: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V0,V1), line-{F}(V0) | line-{T}(V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #58: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #59: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #60: input, references = 3, size of lhs = 5:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), apart_point_and_line-{F}(V3,V0) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #61: input, references = 3, size of lhs = 5:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), apart_point_and_line-{F}(V3,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #62: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #63: input, references = 3, size of lhs = 2:
% 213.56/213.75 P_reverse_line-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #64: input, references = 12, size of lhs = 4:
% 213.56/213.75 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3), P_reverse_line-{F}(V3,V4), unequally_directed_lines-{F}(V2,V4) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #65: input, references = 4, size of lhs = 2:
% 213.56/213.75 P_parallel_through_point-{F}(V1,V0,V2), unequally_directed_lines-{F}(V2,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #66: input, references = 3, size of lhs = 4:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V4), distinct_lines-{F}(V3,V1), distinct_points-{F}(V5,V0) | left_apart_point-{T}(V0,V1), left_apart_point-{T}(V0,V2), left_apart_point-{T}(V0,V3), left_apart_point-{T}(V0,V4), left_apart_point-{T}(V5,V3), left_apart_point-{T}(V5,V1), left_apart_point-{T}(V5,V4), left_apart_point-{T}(V5,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #67: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_line_connecting-{F}(V2,V0,V3), distinct_points-{F}(V2,V0), left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), left_convergent_lines-{T}(V3,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #68: input, references = 3, size of lhs = 2:
% 213.56/213.75 #-{F} V0, left_apart_point-{F}(V2,V1) | left_apart_point-{T}(V0,V1), distinct_points-{T}(V2,V0)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #69: input, references = 3, size of lhs = 3:
% 213.56/213.75 P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V0,V1), left_apart_point-{F}(V3,V0) | distinct_lines-{T}(V0,V1), left_apart_point-{T}(V3,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #70: input, references = 3, size of lhs = 2:
% 213.56/213.75 #-{F} V1, left_convergent_lines-{F}(V2,V0) | unequally_directed_lines-{T}(V0,V1), left_convergent_lines-{T}(V2,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #71: input, references = 4, size of lhs = 0:
% 213.56/213.75 FALSE | EXISTS V0: pppp10-{T}(V0)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #72: input, references = 4, size of lhs = 1:
% 213.56/213.75 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #73: input, references = 36, size of lhs = 3:
% 213.56/213.75 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3) | EXISTS V4: pppp8-{T}(V4,V1,V3)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #74: input, references = 4, size of lhs = 4:
% 213.56/213.75 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), unequally_directed_lines-{F}(V0,V2) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #75: input, references = 15, size of lhs = 2:
% 213.56/213.75 pppp8-{F}(V0,V1,V2), unequally_directed_lines-{F}(V0,V1) | FALSE
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #76: input, references = 36, size of lhs = 1:
% 213.56/213.75 pppp8-{F}(V0,V1,V2) | unequally_directed_lines-{T}(V0,V2)
% 213.56/213.75 (used 0 times, uses = {})
% 213.56/213.75
% 213.56/213.75 #77: input, references = 18, size of lhs = 1:
% 213.56/213.75 #-{F} V0 | EXISTS V1: P_reverse_line-{T}(V0,V1)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #78: input, references = 3, size of lhs = 2:
% 213.56/213.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #79: input, references = 3, size of lhs = 2:
% 213.56/213.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #80: input, references = 3, size of lhs = 2:
% 213.56/213.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 number of initial rules = 81
% 213.56/213.76
% 213.56/213.76 Simplifiers:
% 213.56/213.76 #81: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V0,V3), V1 == V3 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #82: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #83: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #84: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #85: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #86: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #87: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #88: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #89: unsound, references = 3, size of lhs = 3:
% 213.56/213.76 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 number of simplifiers = 9
% 213.56/213.76
% 213.56/213.76 Learnt:
% 213.56/213.76 #94: exists( #73, #91 ), references = 1, size of lhs = 3:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V1), P_reverse_line-{F}(V1,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #97: disj( #43, input ), references = 13, size of lhs = 2:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | unequally_directed_lines-{T}(V0,V2)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #102: exists( #73, #100 ), references = 1, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_parallel_through_point-{F}(V1,V4,V5), P_parallel_through_point-{F}(V5,V6,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #108: exists( #73, #106 ), references = 1, size of lhs = 4:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_parallel_through_point-{F}(V1,V4,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #118: disj( #43, input ), references = 48, size of lhs = 1:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1) | unequally_directed_lines-{T}(V1,V0)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #133: disj( #43, #118+#74 ), references = 3, size of lhs = 4:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), unequally_directed_lines-{F}(V2,V3), P_reverse_line-{F}(V0,V4) | unequally_directed_lines-{T}(V3,V0)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #134: disj( #43, #118+#64 ), references = 11, size of lhs = 4:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), P_reverse_line-{F}(V2,V0), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5) | unequally_directed_lines-{T}(V1,V5)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #135: disj( #43, #97+#42 ), references = 11, size of lhs = 2:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), P_parallel_through_point-{F}(V0,V2,V3) | unequally_directed_lines-{T}(V1,V3)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #144: mergings( V2 == V6, V0 == V1, V3 == V6, V1 == V5; #139 ), references = 1, size of lhs = 2:
% 213.56/213.76 pppp9-{F}(V0,V0), P_reverse_line-{F}(V0,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #146: exists( #77, #139 ), references = 1, size of lhs = 1:
% 213.56/213.76 pppp9-{F}(V0,V0) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #159: exists( #73, #155 ), references = 2, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_parallel_through_point-{F}(V4,V5,V3), P_parallel_through_point-{F}(V4,V6,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #174: exists( #73, #172 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V7), P_parallel_through_point-{F}(V7,V8,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #176: exists( #77, #173 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V6), P_parallel_through_point-{F}(V6,V7,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #186: exists( #73, #184 ), references = 1, size of lhs = 9:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V7), P_reverse_line-{F}(V8,V7), P_line_connecting-{F}(V9,V10,V8), P_line_connecting-{F}(V10,V9,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #200: disj( #43, input ), references = 2, size of lhs = 4:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), pppp9-{F}(V0,V2), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V0,V4) | unequally_directed_lines-{T}(V1,V3)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #209: mergings( V0 == V3, V3 == V6, V1 == V5, V2 == V5; #204 ), references = 1, size of lhs = 3:
% 213.56/213.76 P_reverse_line-{F}(V0,V0), pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #225: mergings( V0 == V3, V3 == V7, V1 == V5, V2 == V6; #220 ), references = 1, size of lhs = 6:
% 213.56/213.76 P_reverse_line-{F}(V0,V0), pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #229: mergings( V2 == V3, V3 == V4; #226 ), references = 1, size of lhs = 4:
% 213.56/213.76 P_reverse_line-{F}(V0,V0), pppp9-{F}(V0,V1), P_line_connecting-{F}(V2,V3,V1), P_line_connecting-{F}(V3,V2,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #239: exists( #73, #236 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #241: exists( #77, #238 ), references = 1, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #243: exists( #77, #159 ), references = 1, size of lhs = 4:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_parallel_through_point-{F}(V3,V4,V2), P_parallel_through_point-{F}(V3,V5,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #254: exists( #73, #252 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V7), P_parallel_through_point-{F}(V1,V8,V7) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #268: exists( #73, #266 ), references = 1, size of lhs = 8:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V7), P_parallel_through_point-{F}(V7,V8,V9), P_parallel_through_point-{F}(V1,V10,V9) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #288: disj( #43, input ), references = 17, size of lhs = 2:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), pppp8-{F}(V1,V2,V3) | unequally_directed_lines-{T}(V0,V2)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #293: exists( #73, #291 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V1), P_line_connecting-{F}(V5,V6,V4), P_line_connecting-{F}(V6,V5,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #306: exists( #73, #304 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_parallel_through_point-{F}(V1,V4,V5), P_reverse_line-{F}(V6,V5), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V6) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #328: mergings( V1 == V3; #325 ), references = 13, size of lhs = 3:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V0,V2), P_reverse_line-{F}(V1,V2) | left_convergent_lines-{T}(V0,V2)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #337: mergings( V3 == V5, V5 == V6; #333 ), references = 1, size of lhs = 4:
% 213.56/213.76 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), pppp9-{F}(V1,V2), P_reverse_line-{F}(V2,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #342: mergings( V2 == V4, V4 == V5; #338 ), references = 1, size of lhs = 3:
% 213.56/213.76 P_reverse_line-{F}(V0,V0), P_reverse_line-{F}(V1,V0), pppp9-{F}(V1,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #359: exists( #73, #357 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_line_connecting-{F}(V4,V5,V3), P_line_connecting-{F}(V5,V4,V6), P_reverse_line-{F}(V6,V7), P_parallel_through_point-{F}(V7,V8,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #361: exists( #77, #358 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V5), P_reverse_line-{F}(V5,V6), P_parallel_through_point-{F}(V6,V7,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #370: exists( #73, #366 ), references = 2, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V4,V5,V3), P_reverse_line-{F}(V6,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #391: mergings( V3 == V7, V0 == V5, V1 == V6, V2 == V7; #385 ), references = 1, size of lhs = 4:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #409: mergings( V1 == V2, V2 == V5; #405 ), references = 1, size of lhs = 3:
% 213.56/213.76 P_reverse_line-{F}(V0,V0), pppp9-{F}(V1,V0), P_reverse_line-{F}(V1,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #434: mergings( V2 == V5; #431 ), references = 1, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V1,V3), P_parallel_through_point-{F}(V1,V4,V3), P_reverse_line-{F}(V5,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #456: exists( #73, #452 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_parallel_through_point-{F}(V3,V6,V5) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #464: exists( #73, #462 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_line_connecting-{F}(V4,V5,V1), P_line_connecting-{F}(V5,V4,V6), P_reverse_line-{F}(V6,V7), P_parallel_through_point-{F}(V3,V8,V7) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #481: exists( #73, #479 ), references = 1, size of lhs = 8:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_parallel_through_point-{F}(V1,V4,V5), P_reverse_line-{F}(V6,V5), P_line_connecting-{F}(V7,V8,V6), P_line_connecting-{F}(V8,V7,V9), P_parallel_through_point-{F}(V9,V10,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #522: exists( #73, #520 ), references = 1, size of lhs = 9:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V5), P_parallel_through_point-{F}(V1,V6,V5), P_reverse_line-{F}(V7,V5), P_reverse_line-{F}(V8,V5), P_line_connecting-{F}(V9,V10,V7), P_line_connecting-{F}(V10,V9,V8) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #534: exists( #73, #532 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_line_connecting-{F}(V4,V5,V1), P_line_connecting-{F}(V5,V4,V6), P_reverse_line-{F}(V6,V7), P_parallel_through_point-{F}(V7,V8,V3) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #561: mergings( V2 == V6; #558 ), references = 1, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V3,V5,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #608: mergings( V2 == V5; #605 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_parallel_through_point-{F}(V1,V5,V6), P_parallel_through_point-{F}(V3,V7,V6) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #624: disj( #43, #328+#53 ), references = 6, size of lhs = 4:
% 213.56/213.76 unequally_directed_lines-{F}(V0,V1), unequally_directed_lines-{F}(V1,V2), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3) | unequally_directed_lines-{T}(V0,V3)
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #632: exists( #73, #630 ), references = 1, size of lhs = 8:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V4), P_reverse_line-{F}(V6,V4), P_line_connecting-{F}(V7,V8,V3), P_line_connecting-{F}(V8,V7,V6) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #634: exists( #77, #631 ), references = 2, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V2,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V2), P_line_connecting-{F}(V7,V6,V5) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #646: exists( #73, #643 ), references = 1, size of lhs = 9:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V5), P_reverse_line-{F}(V6,V5), P_parallel_through_point-{F}(V6,V7,V3), P_reverse_line-{F}(V8,V5), P_line_connecting-{F}(V9,V10,V6), P_line_connecting-{F}(V10,V9,V8) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #648: exists( #77, #645 ), references = 1, size of lhs = 8:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V4), P_reverse_line-{F}(V5,V4), P_parallel_through_point-{F}(V5,V6,V2), P_reverse_line-{F}(V7,V4), P_line_connecting-{F}(V8,V9,V5), P_line_connecting-{F}(V9,V8,V7) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #650: exists( #77, #370 ), references = 1, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2), P_parallel_through_point-{F}(V3,V4,V2), P_reverse_line-{F}(V5,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #674: mergings( V2 == V5; #672 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V1,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_line_connecting-{F}(V6,V7,V5), P_line_connecting-{F}(V7,V6,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #676: exists( #77, #672 ), references = 1, size of lhs = 4:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V1), P_line_connecting-{F}(V4,V3,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #695: mergings( V2 == V6; #692 ), references = 1, size of lhs = 6:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V1,V4), P_reverse_line-{F}(V4,V2), P_reverse_line-{F}(V5,V4) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #712: exists( #73, #708 ), references = 1, size of lhs = 8:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V0,V3), P_reverse_line-{F}(V4,V3), P_reverse_line-{F}(V5,V3), P_reverse_line-{F}(V6,V3), P_line_connecting-{F}(V7,V8,V5), P_line_connecting-{F}(V8,V7,V6) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #714: exists( #77, #710 ), references = 1, size of lhs = 7:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V4,V2), P_reverse_line-{F}(V5,V2), P_line_connecting-{F}(V6,V7,V4), P_line_connecting-{F}(V7,V6,V5) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #717: exists( #77, #634 ), references = 1, size of lhs = 4:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_line_connecting-{F}(V3,V4,V2), P_line_connecting-{F}(V4,V3,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #755: mergings( V2 == V7, V3 == V9, V0 == V5, V1 == V6; #749 ), references = 1, size of lhs = 5:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V1,V2), P_reverse_line-{F}(V3,V2), P_reverse_line-{F}(V0,V4), P_reverse_line-{F}(V5,V4) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #759: mergings( V3 == V5, V2 == V4; #756 ), references = 1, size of lhs = 3:
% 213.56/213.76 pppp9-{F}(V0,V1), P_reverse_line-{F}(V0,V2), P_reverse_line-{F}(V3,V2) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #761: exists( #77, #756 ), references = 1, size of lhs = 1:
% 213.56/213.76 pppp9-{F}(V0,V1) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #763: exists( #72, #760 ), references = 1, size of lhs = 1:
% 213.56/213.76 pppp10-{F}(V0) | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 #765: exists( #71, #762 ), references = 1, size of lhs = 0:
% 213.56/213.76 FALSE | FALSE
% 213.56/213.76 (used 0 times, uses = {})
% 213.56/213.76
% 213.56/213.76 number of learnt formulas = 59
% 213.56/213.76
% 213.56/213.76
% 213.56/213.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 213.56/213.76
% 213.56/213.76 randbase = 1
%------------------------------------------------------------------------------