Geo-III---2018C.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:01:59 EDT 2022

% Result   : Theorem 85.67s 85.82s
% Output   : Refutation 85.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 18:13:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 85.67/85.82  GeoParameters:
% 85.67/85.82  
% 85.67/85.82  tptp_input =     1
% 85.67/85.82  tptp_output =    0
% 85.67/85.82  nonempty =       1
% 85.67/85.82  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.67/85.82  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 85.67/85.82  
% 85.67/85.82  
% 85.67/85.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.67/85.82  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.67/85.82  
% 85.67/85.82  RuleSystem INPUT:
% 85.67/85.82  
% 85.67/85.82  Initial Rules:
% 85.67/85.82  #0: input, references = 11, size of lhs = 1:
% 85.67/85.82     distinct_points-{F}(V0,V0) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #1: input, references = 3, size of lhs = 1:
% 85.67/85.82     distinct_lines-{F}(V0,V0) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #2: input, references = 6, size of lhs = 1:
% 85.67/85.82     convergent_lines-{F}(V0,V0) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #3: input, references = 9, size of lhs = 2:
% 85.67/85.82     #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #4: input, references = 6, size of lhs = 2:
% 85.67/85.82     #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #5: input, references = 8, size of lhs = 2:
% 85.67/85.82     #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #6: input, references = 10, size of lhs = 3:
% 85.67/85.82     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #7: input, references = 8, size of lhs = 3:
% 85.67/85.82     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #8: input, references = 10, size of lhs = 3:
% 85.67/85.82     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #9: input, references = 10, size of lhs = 3:
% 85.67/85.82     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #10: input, references = 9, size of lhs = 2:
% 85.67/85.82     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)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #11: input, references = 5, size of lhs = 2:
% 85.67/85.82     #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #12: input, references = 3, size of lhs = 2:
% 85.67/85.82     #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #13: input, references = 4, size of lhs = 2:
% 85.67/85.82     #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #14: input, references = 4, size of lhs = 0:
% 85.67/85.82     FALSE | EXISTS V0: pppp2-{T}(V0)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #15: input, references = 4, size of lhs = 1:
% 85.67/85.82     pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #16: input, references = 4, size of lhs = 1:
% 85.67/85.82     pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #17: input, references = 3, size of lhs = 1:
% 85.67/85.82     pppp1-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #18: input, references = 5, size of lhs = 4:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4), apart_point_and_line-{F}(V4,V1) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #19: input, references = 23, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | apart_point_and_line-{T}(V3,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #20: input, references = 30, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #21: input, references = 5, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #22: input, references = 4, size of lhs = 2:
% 85.67/85.82     #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #23: input, references = 38, size of lhs = 2:
% 85.67/85.82     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  number of initial rules = 24
% 85.67/85.82  
% 85.67/85.82  Simplifiers:
% 85.67/85.82  #24: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #25: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #26: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #27: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #28: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #29: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #30: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #31: unsound, references = 3, size of lhs = 3:
% 85.67/85.82     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  number of simplifiers = 8
% 85.67/85.82  
% 85.67/85.82  Learnt:
% 85.67/85.82  #34: disj( #13, input ), references = 3, size of lhs = 1:
% 85.67/85.82     convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #36: disj( #4, input ), references = 2, size of lhs = 1:
% 85.67/85.82     distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #38: disj( #5, input ), references = 22, size of lhs = 1:
% 85.67/85.82     convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #44: exists( #23, #39 ), references = 1, size of lhs = 2:
% 85.67/85.82     pppp0-{F}(V0,V1,V0), P_intersection_point-{F}(V0,V0,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #47: exists( #23, #42 ), references = 1, size of lhs = 1:
% 85.67/85.82     pppp0-{F}(V0,V1,V0) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #50: exists( #23, #48 ), references = 1, size of lhs = 2:
% 85.67/85.82     pppp0-{F}(V0,V0,V1), P_intersection_point-{F}(V0,V0,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #52: exists( #23, #49 ), references = 1, size of lhs = 1:
% 85.67/85.82     pppp0-{F}(V0,V0,V1) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #58: disj( #10, input, input, input ), references = 12, size of lhs = 8:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V2), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V2) | apart_point_and_line-{T}(V1,V4)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #65: disj( #3, #57+#9 ), references = 3, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), convergent_lines-{F}(V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_intersection_point-{F}(V2,V3,V6), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V1,V6,V7), distinct_lines-{F}(V7,V3), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V5) | distinct_points-{T}(V0,V6)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #66: disj( #3, #57+#8 ), references = 4, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V1,V2,V4), distinct_lines-{F}(V4,V5), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V3), convergent_lines-{F}(V5,V7), P_intersection_point-{F}(V5,V7,V3), convergent_lines-{F}(V5,V8), P_intersection_point-{F}(V5,V8,V2) | distinct_points-{T}(V0,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #73: disj( #11, #62+#0 ), references = 10, size of lhs = 9:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), apart_point_and_line-{F}(V4,V5), P_line_connecting-{F}(V3,V4,V6), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V3) | apart_point_and_line-{T}(V3,V5)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #74: disj( #11, #62+#6 ), references = 1, size of lhs = 11:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3), apart_point_and_line-{F}(V2,V4), P_line_connecting-{F}(V2,V2,V4), convergent_lines-{F}(V1,V5), P_intersection_point-{F}(V1,V5,V6), P_line_connecting-{F}(V6,V2,V7), distinct_lines-{F}(V7,V1), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V6) | apart_point_and_line-{T}(V6,V3)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #75: disj( #11, #62+#7 ), references = 1, size of lhs = 11:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), apart_point_and_line-{F}(V4,V5), P_line_connecting-{F}(V3,V4,V6), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V3), P_line_connecting-{F}(V4,V4,V8), apart_point_and_line-{F}(V4,V8) | apart_point_and_line-{T}(V3,V5)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #79: disj( #11, input ), references = 38, size of lhs = 3:
% 85.67/85.82     apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #87: disj( #3, #66+#0 ), references = 6, size of lhs = 9:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V5), P_line_connecting-{F}(V5,V1,V2), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V1) | distinct_points-{T}(V0,V5)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #90: disj( #3, input ), references = 39, size of lhs = 1:
% 85.67/85.82     distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #94: disj( #5, input ), references = 2, size of lhs = 3:
% 85.67/85.82     convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), P_intersection_point-{F}(V1,V3,V2) | convergent_lines-{T}(V0,V3)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #97: disj( #3, #66+#0 ), references = 3, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V3,V0,V4), distinct_lines-{F}(V4,V5), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V2), convergent_lines-{F}(V5,V7), P_intersection_point-{F}(V5,V7,V2), convergent_lines-{F}(V5,V8), P_intersection_point-{F}(V5,V8,V0) | distinct_points-{T}(V1,V3)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #112: disj( #3, #87+#65+#0 ), references = 13, size of lhs = 17:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V3,V4,V6), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V3), P_line_connecting-{F}(V3,V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V3), convergent_lines-{F}(V10,V12), P_intersection_point-{F}(V10,V12,V3), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V8) | distinct_points-{T}(V5,V8)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #113: disj( #3, #90+#87+#58+#9 ), references = 1, size of lhs = 17:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), distinct_points-{F}(V4,V5), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V3), P_line_connecting-{F}(V8,V4,V6), P_line_connecting-{F}(V3,V8,V9), distinct_lines-{F}(V9,V10), convergent_lines-{F}(V9,V11), P_intersection_point-{F}(V9,V11,V3), convergent_lines-{F}(V10,V12), P_intersection_point-{F}(V10,V12,V3), convergent_lines-{F}(V10,V13), P_intersection_point-{F}(V10,V13,V8) | distinct_points-{T}(V5,V8)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #114: disj( #3, #90+#87+#58+#6 ), references = 1, size of lhs = 16:
% 85.67/85.82     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V2,V0,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V0,V2,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V6), P_line_connecting-{F}(V6,V2,V7), distinct_lines-{F}(V7,V8), convergent_lines-{F}(V7,V9), P_intersection_point-{F}(V7,V9,V6), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V6), convergent_lines-{F}(V8,V11), P_intersection_point-{F}(V8,V11,V2), convergent_lines-{F}(V4,V12), P_intersection_point-{F}(V4,V12,V6) | distinct_points-{T}(V1,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #122: disj( #10, input, input, input ), references = 19, size of lhs = 8:
% 85.67/85.82     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3), convergent_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V1,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #131: mergings( V4 == V6, V6 == V7; #128 ), references = 1, size of lhs = 6:
% 85.67/85.82     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V0,V1,V3), pppp0-{F}(V2,V1,V4), P_intersection_point-{F}(V2,V4,V3) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #141: disj( #3, #90+#112+#122+#8 ), references = 16, size of lhs = 26:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V9), P_intersection_point-{F}(V7,V8,V10), P_line_connecting-{F}(V3,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V3), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V10), convergent_lines-{F}(V9,V16), P_intersection_point-{F}(V9,V16,V10), convergent_lines-{F}(V17,V8), P_intersection_point-{F}(V17,V8,V18), distinct_points-{F}(V18,V19), convergent_lines-{F}(V9,V20), P_intersection_point-{F}(V9,V20,V18) | distinct_points-{T}(V19,V4)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #183: mergings( V21 == V22, V22 == V26, V26 == V27, V11 == V41; #176 ), references = 2, size of lhs = 52:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V9), P_intersection_point-{F}(V7,V8,V10), P_line_connecting-{F}(V3,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V3), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V10), convergent_lines-{F}(V9,V16), P_intersection_point-{F}(V9,V16,V10), convergent_lines-{F}(V9,V17), P_intersection_point-{F}(V9,V17,V18), convergent_lines-{F}(V19,V8), distinct_lines-{F}(V8,V20), P_intersection_point-{F}(V19,V8,V21), convergent_lines-{F}(V20,V22), P_intersection_point-{F}(V20,V22,V21), distinct_lines-{F}(V20,V23), convergent_lines-{F}(V23,V20), pppp0-{F}(V23,V20,V8), P_intersection_point-{F}(V23,V8,V18), convergent_lines-{F}(V24,V20), P_intersection_point-{F}(V24,V20,V4), convergent_lines-{F}(V25,V23), P_intersection_point-{F}(V25,V23,V18), convergent_lines-{F}(V26,V27), P_intersection_point-{F}(V26,V27,V4), convergent_lines-{F}(V27,V28), P_intersection_point-{F}(V27,V28,V29), P_line_connecting-{F}(V29,V4,V30), distinct_lines-{F}(V30,V27), convergent_lines-{F}(V30,V31), P_intersection_point-{F}(V30,V31,V29), P_line_connecting-{F}(V29,V21,V32), distinct_lines-{F}(V32,V33), convergent_lines-{F}(V32,V34), P_intersection_point-{F}(V32,V34,V29), convergent_lines-{F}(V33,V35), P_intersection_point-{F}(V33,V35,V29), convergent_lines-{F}(V33,V36), P_intersection_point-{F}(V33,V36,V21) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #187: mergings( V21 == V22, V22 == V27, V27 == V34; #177 ), references = 1, size of lhs = 63:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V9), P_intersection_point-{F}(V7,V8,V10), P_line_connecting-{F}(V3,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V3), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V10), convergent_lines-{F}(V9,V16), P_intersection_point-{F}(V9,V16,V10), convergent_lines-{F}(V9,V17), P_intersection_point-{F}(V9,V17,V18), distinct_lines-{F}(V8,V19), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V21), convergent_lines-{F}(V22,V8), P_intersection_point-{F}(V22,V8,V21), P_line_connecting-{F}(V23,V18,V19), P_line_connecting-{F}(V23,V4,V24), distinct_lines-{F}(V24,V25), convergent_lines-{F}(V26,V25), P_intersection_point-{F}(V26,V25,V4), convergent_lines-{F}(V25,V27), P_intersection_point-{F}(V25,V27,V23), convergent_lines-{F}(V24,V28), P_intersection_point-{F}(V24,V28,V23), P_intersection_point-{F}(V29,V8,V18), convergent_lines-{F}(V29,V30), pppp0-{F}(V29,V30,V8), distinct_lines-{F}(V30,V29), convergent_lines-{F}(V31,V30), P_intersection_point-{F}(V31,V30,V4), convergent_lines-{F}(V32,V29), P_intersection_point-{F}(V32,V29,V18), convergent_lines-{F}(V33,V29), P_intersection_point-{F}(V33,V29,V18), convergent_lines-{F}(V34,V35), P_intersection_point-{F}(V34,V35,V4), convergent_lines-{F}(V35,V36), P_intersection_point-{F}(V35,V36,V37), P_line_connecting-{F}(V37,V4,V38), distinct_lines-{F}(V38,V35), convergent_lines-{F}(V38,V39), P_intersection_point-{F}(V38,V39,V37), P_line_connecting-{F}(V37,V21,V40), distinct_lines-{F}(V40,V41), convergent_lines-{F}(V40,V42), P_intersection_point-{F}(V40,V42,V37), convergent_lines-{F}(V41,V43), P_intersection_point-{F}(V41,V43,V37), convergent_lines-{F}(V41,V44), P_intersection_point-{F}(V41,V44,V21) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #190: mergings( V21 == V22, V22 == V23; #178 ), references = 2, size of lhs = 65:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V9), P_intersection_point-{F}(V7,V8,V10), P_line_connecting-{F}(V3,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V3), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V10), convergent_lines-{F}(V9,V16), P_intersection_point-{F}(V9,V16,V10), convergent_lines-{F}(V9,V17), P_intersection_point-{F}(V9,V17,V18), P_intersection_point-{F}(V19,V8,V18), convergent_lines-{F}(V19,V20), pppp0-{F}(V19,V20,V8), distinct_lines-{F}(V20,V19), convergent_lines-{F}(V21,V20), P_intersection_point-{F}(V21,V20,V4), convergent_lines-{F}(V22,V19), P_intersection_point-{F}(V22,V19,V23), convergent_lines-{F}(V24,V19), P_intersection_point-{F}(V24,V19,V23), convergent_lines-{F}(V25,V26), P_intersection_point-{F}(V25,V26,V4), convergent_lines-{F}(V26,V27), P_intersection_point-{F}(V26,V27,V28), P_line_connecting-{F}(V28,V4,V29), distinct_lines-{F}(V29,V26), convergent_lines-{F}(V29,V30), P_intersection_point-{F}(V29,V30,V28), P_line_connecting-{F}(V28,V23,V31), distinct_lines-{F}(V31,V32), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V34), convergent_lines-{F}(V32,V35), P_intersection_point-{F}(V32,V35,V34), convergent_lines-{F}(V32,V36), P_intersection_point-{F}(V32,V36,V23), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V4), convergent_lines-{F}(V38,V39), P_intersection_point-{F}(V38,V39,V40), P_line_connecting-{F}(V40,V4,V41), distinct_lines-{F}(V41,V38), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V40), P_line_connecting-{F}(V40,V34,V43), distinct_lines-{F}(V43,V44), convergent_lines-{F}(V43,V45), P_intersection_point-{F}(V43,V45,V40), convergent_lines-{F}(V44,V46), P_intersection_point-{F}(V44,V46,V40), convergent_lines-{F}(V44,V47), P_intersection_point-{F}(V44,V47,V34) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #223: exists( #23, #219 ), references = 4, size of lhs = 59:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), P_intersection_point-{F}(V24,V1,V25), convergent_lines-{F}(V26,V24), P_intersection_point-{F}(V26,V24,V27), convergent_lines-{F}(V28,V29), P_intersection_point-{F}(V28,V29,V7), convergent_lines-{F}(V29,V30), P_intersection_point-{F}(V29,V30,V31), P_line_connecting-{F}(V31,V7,V32), distinct_lines-{F}(V32,V29), convergent_lines-{F}(V32,V33), P_intersection_point-{F}(V32,V33,V31), distinct_lines-{F}(V34,V35), convergent_lines-{F}(V34,V36), P_intersection_point-{F}(V34,V36,V31), convergent_lines-{F}(V35,V37), P_intersection_point-{F}(V35,V37,V31), convergent_lines-{F}(V35,V38), P_intersection_point-{F}(V35,V38,V39), P_line_connecting-{F}(V31,V39,V34), P_line_connecting-{F}(V39,V27,V40), distinct_lines-{F}(V40,V41), convergent_lines-{F}(V40,V42), P_intersection_point-{F}(V40,V42,V39), convergent_lines-{F}(V41,V43), P_intersection_point-{F}(V41,V43,V39), convergent_lines-{F}(V41,V44), P_intersection_point-{F}(V41,V44,V27) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #224: exists( #23, #220 ), references = 3, size of lhs = 69:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), P_intersection_point-{F}(V24,V1,V25), convergent_lines-{F}(V26,V24), P_intersection_point-{F}(V26,V24,V27), convergent_lines-{F}(V28,V24), P_intersection_point-{F}(V28,V24,V27), convergent_lines-{F}(V29,V30), P_intersection_point-{F}(V29,V30,V7), convergent_lines-{F}(V30,V31), P_intersection_point-{F}(V30,V31,V32), P_line_connecting-{F}(V32,V7,V33), distinct_lines-{F}(V33,V30), convergent_lines-{F}(V33,V34), P_intersection_point-{F}(V33,V34,V32), P_line_connecting-{F}(V32,V27,V35), distinct_lines-{F}(V35,V36), convergent_lines-{F}(V35,V37), P_intersection_point-{F}(V35,V37,V38), convergent_lines-{F}(V36,V39), P_intersection_point-{F}(V36,V39,V38), convergent_lines-{F}(V36,V40), P_intersection_point-{F}(V36,V40,V27), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V7), convergent_lines-{F}(V42,V43), P_intersection_point-{F}(V42,V43,V44), P_line_connecting-{F}(V44,V7,V45), distinct_lines-{F}(V45,V42), convergent_lines-{F}(V45,V46), P_intersection_point-{F}(V45,V46,V44), P_line_connecting-{F}(V44,V38,V47), distinct_lines-{F}(V47,V48), convergent_lines-{F}(V47,V49), P_intersection_point-{F}(V47,V49,V44), convergent_lines-{F}(V48,V50), P_intersection_point-{F}(V48,V50,V44), convergent_lines-{F}(V48,V51), P_intersection_point-{F}(V48,V51,V38) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #227: exists( #23, #221 ), references = 4, size of lhs = 58:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), convergent_lines-{F}(V25,V24), P_intersection_point-{F}(V25,V24,V26), convergent_lines-{F}(V27,V28), P_intersection_point-{F}(V27,V28,V7), convergent_lines-{F}(V28,V29), P_intersection_point-{F}(V28,V29,V30), P_line_connecting-{F}(V30,V7,V31), distinct_lines-{F}(V31,V28), convergent_lines-{F}(V31,V32), P_intersection_point-{F}(V31,V32,V30), distinct_lines-{F}(V33,V34), convergent_lines-{F}(V33,V35), P_intersection_point-{F}(V33,V35,V30), convergent_lines-{F}(V34,V36), P_intersection_point-{F}(V34,V36,V30), convergent_lines-{F}(V34,V37), P_intersection_point-{F}(V34,V37,V38), P_line_connecting-{F}(V30,V38,V33), P_line_connecting-{F}(V38,V26,V39), distinct_lines-{F}(V39,V40), convergent_lines-{F}(V39,V41), P_intersection_point-{F}(V39,V41,V38), convergent_lines-{F}(V40,V42), P_intersection_point-{F}(V40,V42,V38), convergent_lines-{F}(V40,V43), P_intersection_point-{F}(V40,V43,V26) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #228: exists( #23, #222 ), references = 4, size of lhs = 68:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), convergent_lines-{F}(V25,V24), P_intersection_point-{F}(V25,V24,V26), convergent_lines-{F}(V27,V24), P_intersection_point-{F}(V27,V24,V26), convergent_lines-{F}(V28,V29), P_intersection_point-{F}(V28,V29,V7), convergent_lines-{F}(V29,V30), P_intersection_point-{F}(V29,V30,V31), P_line_connecting-{F}(V31,V7,V32), distinct_lines-{F}(V32,V29), convergent_lines-{F}(V32,V33), P_intersection_point-{F}(V32,V33,V31), P_line_connecting-{F}(V31,V26,V34), distinct_lines-{F}(V34,V35), convergent_lines-{F}(V34,V36), P_intersection_point-{F}(V34,V36,V37), convergent_lines-{F}(V35,V38), P_intersection_point-{F}(V35,V38,V37), convergent_lines-{F}(V35,V39), P_intersection_point-{F}(V35,V39,V26), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V7), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V43), P_line_connecting-{F}(V43,V7,V44), distinct_lines-{F}(V44,V41), convergent_lines-{F}(V44,V45), P_intersection_point-{F}(V44,V45,V43), P_line_connecting-{F}(V43,V37,V46), distinct_lines-{F}(V46,V47), convergent_lines-{F}(V46,V48), P_intersection_point-{F}(V46,V48,V43), convergent_lines-{F}(V47,V49), P_intersection_point-{F}(V47,V49,V43), convergent_lines-{F}(V47,V50), P_intersection_point-{F}(V47,V50,V37) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #244: mergings( V28 == V34, V26 == V30, V22 == V1, V11 == V29, V21 == V30; #236 ), references = 1, size of lhs = 58:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V9), P_intersection_point-{F}(V7,V8,V10), P_line_connecting-{F}(V3,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V3), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V10), convergent_lines-{F}(V9,V16), P_intersection_point-{F}(V9,V16,V10), convergent_lines-{F}(V9,V17), P_intersection_point-{F}(V9,V17,V18), distinct_lines-{F}(V8,V19), convergent_lines-{F}(V20,V19), P_intersection_point-{F}(V20,V19,V4), convergent_lines-{F}(V19,V21), P_intersection_point-{F}(V19,V21,V22), P_line_connecting-{F}(V22,V4,V8), P_line_connecting-{F}(V22,V22,V23), P_intersection_point-{F}(V23,V8,V18), P_intersection_point-{F}(V8,V23,V22), convergent_lines-{F}(V23,V24), distinct_lines-{F}(V24,V23), pppp0-{F}(V23,V24,V8), convergent_lines-{F}(V25,V24), P_intersection_point-{F}(V25,V24,V4), distinct_lines-{F}(V23,V26), convergent_lines-{F}(V26,V27), P_intersection_point-{F}(V26,V27,V18), convergent_lines-{F}(V26,V28), P_intersection_point-{F}(V26,V28,V22), convergent_lines-{F}(V29,V30), P_intersection_point-{F}(V29,V30,V4), convergent_lines-{F}(V30,V31), P_intersection_point-{F}(V30,V31,V32), P_line_connecting-{F}(V32,V4,V33), distinct_lines-{F}(V33,V30), convergent_lines-{F}(V33,V34), P_intersection_point-{F}(V33,V34,V32), P_line_connecting-{F}(V32,V18,V35), distinct_lines-{F}(V35,V36), convergent_lines-{F}(V35,V37), P_intersection_point-{F}(V35,V37,V32), convergent_lines-{F}(V36,V38), P_intersection_point-{F}(V36,V38,V32), convergent_lines-{F}(V36,V39), P_intersection_point-{F}(V36,V39,V18) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #249: mergings( V31 == V37, V29 == V33, V26 == V1, V4 == V32; #237 ), references = 1, size of lhs = 62:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V7,V7,V8), P_intersection_point-{F}(V1,V8,V7), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V5), distinct_lines-{F}(V8,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V13), P_intersection_point-{F}(V8,V1,V13), convergent_lines-{F}(V11,V14), P_intersection_point-{F}(V11,V14,V7), convergent_lines-{F}(V15,V16), P_intersection_point-{F}(V15,V16,V5), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V18), P_line_connecting-{F}(V18,V5,V19), distinct_lines-{F}(V19,V16), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V18), convergent_lines-{F}(V21,V22), distinct_lines-{F}(V22,V23), P_intersection_point-{F}(V21,V22,V24), P_line_connecting-{F}(V18,V24,V25), distinct_lines-{F}(V25,V26), convergent_lines-{F}(V25,V27), P_intersection_point-{F}(V25,V27,V18), convergent_lines-{F}(V26,V28), P_intersection_point-{F}(V26,V28,V18), convergent_lines-{F}(V26,V29), P_intersection_point-{F}(V26,V29,V24), convergent_lines-{F}(V23,V30), P_intersection_point-{F}(V23,V30,V24), convergent_lines-{F}(V31,V22), P_intersection_point-{F}(V31,V22,V2), convergent_lines-{F}(V23,V32), P_intersection_point-{F}(V23,V32,V2), convergent_lines-{F}(V33,V34), P_intersection_point-{F}(V33,V34,V5), convergent_lines-{F}(V34,V35), P_intersection_point-{F}(V34,V35,V36), P_line_connecting-{F}(V36,V5,V37), distinct_lines-{F}(V37,V34), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V36), P_line_connecting-{F}(V36,V13,V39), distinct_lines-{F}(V39,V40), convergent_lines-{F}(V39,V41), P_intersection_point-{F}(V39,V41,V36), convergent_lines-{F}(V40,V42), P_intersection_point-{F}(V40,V42,V36), convergent_lines-{F}(V40,V43), P_intersection_point-{F}(V40,V43,V13) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #255: mergings( V32 == V38, V30 == V34, V26 == V1, V4 == V33, V27 == V34; #238 ), references = 1, size of lhs = 62:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V7,V7,V8), P_intersection_point-{F}(V1,V8,V7), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V5), distinct_lines-{F}(V8,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V13), P_intersection_point-{F}(V8,V1,V13), convergent_lines-{F}(V11,V14), P_intersection_point-{F}(V11,V14,V7), convergent_lines-{F}(V15,V16), P_intersection_point-{F}(V15,V16,V5), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V18), P_line_connecting-{F}(V18,V5,V19), distinct_lines-{F}(V19,V16), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V18), convergent_lines-{F}(V21,V22), distinct_lines-{F}(V22,V23), P_intersection_point-{F}(V21,V22,V24), P_line_connecting-{F}(V18,V24,V25), distinct_lines-{F}(V25,V26), convergent_lines-{F}(V25,V27), P_intersection_point-{F}(V25,V27,V18), convergent_lines-{F}(V26,V28), P_intersection_point-{F}(V26,V28,V18), convergent_lines-{F}(V26,V29), P_intersection_point-{F}(V26,V29,V24), convergent_lines-{F}(V23,V30), P_intersection_point-{F}(V23,V30,V24), convergent_lines-{F}(V31,V22), P_intersection_point-{F}(V31,V22,V2), convergent_lines-{F}(V23,V32), P_intersection_point-{F}(V23,V32,V2), convergent_lines-{F}(V33,V34), P_intersection_point-{F}(V33,V34,V5), convergent_lines-{F}(V34,V35), P_intersection_point-{F}(V34,V35,V36), P_line_connecting-{F}(V36,V5,V37), distinct_lines-{F}(V37,V34), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V36), P_line_connecting-{F}(V36,V13,V39), distinct_lines-{F}(V39,V40), convergent_lines-{F}(V39,V41), P_intersection_point-{F}(V39,V41,V36), convergent_lines-{F}(V40,V42), P_intersection_point-{F}(V40,V42,V36), convergent_lines-{F}(V40,V43), P_intersection_point-{F}(V40,V43,V13) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #275: mergings( V1 == V32, V8 == V11, V0 == V33; #270 ), references = 1, size of lhs = 68:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_line_connecting-{F}(V4,V2,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), P_intersection_point-{F}(V5,V8,V4), P_intersection_point-{F}(V8,V5,V9), convergent_lines-{F}(V8,V10), distinct_lines-{F}(V10,V8), pppp0-{F}(V8,V10,V5), convergent_lines-{F}(V11,V10), P_intersection_point-{F}(V11,V10,V2), convergent_lines-{F}(V12,V8), P_intersection_point-{F}(V12,V8,V13), convergent_lines-{F}(V14,V8), P_intersection_point-{F}(V14,V8,V13), P_line_connecting-{F}(V4,V13,V15), distinct_lines-{F}(V15,V16), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V18), convergent_lines-{F}(V16,V19), P_intersection_point-{F}(V16,V19,V18), convergent_lines-{F}(V16,V20), P_intersection_point-{F}(V16,V20,V13), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V24), P_line_connecting-{F}(V24,V2,V25), distinct_lines-{F}(V25,V22), convergent_lines-{F}(V25,V26), P_intersection_point-{F}(V25,V26,V24), convergent_lines-{F}(V27,V28), distinct_lines-{F}(V28,V29), P_intersection_point-{F}(V27,V28,V30), P_line_connecting-{F}(V24,V30,V31), distinct_lines-{F}(V31,V32), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V24), convergent_lines-{F}(V32,V34), P_intersection_point-{F}(V32,V34,V24), convergent_lines-{F}(V32,V35), P_intersection_point-{F}(V32,V35,V30), convergent_lines-{F}(V29,V36), P_intersection_point-{F}(V29,V36,V30), convergent_lines-{F}(V37,V28), P_intersection_point-{F}(V37,V28,V7), convergent_lines-{F}(V29,V38), P_intersection_point-{F}(V29,V38,V7), convergent_lines-{F}(V39,V40), P_intersection_point-{F}(V39,V40,V2), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V42), P_line_connecting-{F}(V42,V2,V43), distinct_lines-{F}(V43,V40), convergent_lines-{F}(V43,V44), P_intersection_point-{F}(V43,V44,V42), P_line_connecting-{F}(V42,V18,V45), distinct_lines-{F}(V45,V46), convergent_lines-{F}(V45,V47), P_intersection_point-{F}(V45,V47,V42), convergent_lines-{F}(V46,V48), P_intersection_point-{F}(V46,V48,V42), convergent_lines-{F}(V46,V49), P_intersection_point-{F}(V46,V49,V18) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #280: mergings( V1 == V32, V8 == V11, V0 == V33, V9 == V34; #271 ), references = 1, size of lhs = 68:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_line_connecting-{F}(V4,V2,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), P_intersection_point-{F}(V5,V8,V4), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V5), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V2), P_intersection_point-{F}(V8,V5,V11), convergent_lines-{F}(V12,V8), P_intersection_point-{F}(V12,V8,V13), convergent_lines-{F}(V14,V8), P_intersection_point-{F}(V14,V8,V13), P_line_connecting-{F}(V4,V13,V15), distinct_lines-{F}(V15,V16), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V18), convergent_lines-{F}(V16,V19), P_intersection_point-{F}(V16,V19,V18), convergent_lines-{F}(V16,V20), P_intersection_point-{F}(V16,V20,V13), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V24), P_line_connecting-{F}(V24,V2,V25), distinct_lines-{F}(V25,V22), convergent_lines-{F}(V25,V26), P_intersection_point-{F}(V25,V26,V24), convergent_lines-{F}(V27,V28), distinct_lines-{F}(V28,V29), P_intersection_point-{F}(V27,V28,V30), P_line_connecting-{F}(V24,V30,V31), distinct_lines-{F}(V31,V32), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V24), convergent_lines-{F}(V32,V34), P_intersection_point-{F}(V32,V34,V24), convergent_lines-{F}(V32,V35), P_intersection_point-{F}(V32,V35,V30), convergent_lines-{F}(V29,V36), P_intersection_point-{F}(V29,V36,V30), convergent_lines-{F}(V37,V28), P_intersection_point-{F}(V37,V28,V7), convergent_lines-{F}(V29,V38), P_intersection_point-{F}(V29,V38,V7), convergent_lines-{F}(V39,V40), P_intersection_point-{F}(V39,V40,V2), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V42), P_line_connecting-{F}(V42,V2,V43), distinct_lines-{F}(V43,V40), convergent_lines-{F}(V43,V44), P_intersection_point-{F}(V43,V44,V42), P_line_connecting-{F}(V42,V18,V45), distinct_lines-{F}(V45,V46), convergent_lines-{F}(V45,V47), P_intersection_point-{F}(V45,V47,V42), convergent_lines-{F}(V46,V48), P_intersection_point-{F}(V46,V48,V42), convergent_lines-{F}(V46,V49), P_intersection_point-{F}(V46,V49,V18) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #286: mergings( V8 == V31, V1 == V10, V0 == V32; #281 ), references = 2, size of lhs = 67:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_line_connecting-{F}(V4,V2,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), P_intersection_point-{F}(V5,V8,V4), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V5), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V2), convergent_lines-{F}(V11,V8), P_intersection_point-{F}(V11,V8,V12), convergent_lines-{F}(V13,V8), P_intersection_point-{F}(V13,V8,V12), P_line_connecting-{F}(V4,V12,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V17), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V17), convergent_lines-{F}(V15,V19), P_intersection_point-{F}(V15,V19,V12), convergent_lines-{F}(V20,V21), P_intersection_point-{F}(V20,V21,V2), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V23), P_line_connecting-{F}(V23,V2,V24), distinct_lines-{F}(V24,V21), convergent_lines-{F}(V24,V25), P_intersection_point-{F}(V24,V25,V23), convergent_lines-{F}(V26,V27), distinct_lines-{F}(V27,V28), P_intersection_point-{F}(V26,V27,V29), P_line_connecting-{F}(V23,V29,V30), distinct_lines-{F}(V30,V31), convergent_lines-{F}(V30,V32), P_intersection_point-{F}(V30,V32,V23), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V23), convergent_lines-{F}(V31,V34), P_intersection_point-{F}(V31,V34,V29), convergent_lines-{F}(V28,V35), P_intersection_point-{F}(V28,V35,V29), convergent_lines-{F}(V36,V27), P_intersection_point-{F}(V36,V27,V7), convergent_lines-{F}(V28,V37), P_intersection_point-{F}(V28,V37,V7), convergent_lines-{F}(V38,V39), P_intersection_point-{F}(V38,V39,V2), convergent_lines-{F}(V39,V40), P_intersection_point-{F}(V39,V40,V41), P_line_connecting-{F}(V41,V2,V42), distinct_lines-{F}(V42,V39), convergent_lines-{F}(V42,V43), P_intersection_point-{F}(V42,V43,V41), P_line_connecting-{F}(V41,V17,V44), distinct_lines-{F}(V44,V45), convergent_lines-{F}(V44,V46), P_intersection_point-{F}(V44,V46,V41), convergent_lines-{F}(V45,V47), P_intersection_point-{F}(V45,V47,V41), convergent_lines-{F}(V45,V48), P_intersection_point-{F}(V45,V48,V17) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #288: mergings( V8 == V30; #282 ), references = 1, size of lhs = 67:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_line_connecting-{F}(V4,V2,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), P_intersection_point-{F}(V5,V8,V4), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V5), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V2), convergent_lines-{F}(V11,V8), P_intersection_point-{F}(V11,V8,V12), convergent_lines-{F}(V13,V8), P_intersection_point-{F}(V13,V8,V12), P_line_connecting-{F}(V4,V12,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V17), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V17), convergent_lines-{F}(V15,V19), P_intersection_point-{F}(V15,V19,V12), convergent_lines-{F}(V20,V21), P_intersection_point-{F}(V20,V21,V2), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V23), P_line_connecting-{F}(V23,V2,V24), distinct_lines-{F}(V24,V21), convergent_lines-{F}(V24,V25), P_intersection_point-{F}(V24,V25,V23), convergent_lines-{F}(V26,V27), distinct_lines-{F}(V27,V28), P_intersection_point-{F}(V26,V27,V29), P_line_connecting-{F}(V23,V29,V30), distinct_lines-{F}(V30,V31), convergent_lines-{F}(V30,V32), P_intersection_point-{F}(V30,V32,V23), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V23), convergent_lines-{F}(V31,V34), P_intersection_point-{F}(V31,V34,V29), convergent_lines-{F}(V28,V35), P_intersection_point-{F}(V28,V35,V29), convergent_lines-{F}(V36,V27), P_intersection_point-{F}(V36,V27,V7), convergent_lines-{F}(V28,V37), P_intersection_point-{F}(V28,V37,V7), convergent_lines-{F}(V38,V39), P_intersection_point-{F}(V38,V39,V2), convergent_lines-{F}(V39,V40), P_intersection_point-{F}(V39,V40,V41), P_line_connecting-{F}(V41,V2,V42), distinct_lines-{F}(V42,V39), convergent_lines-{F}(V42,V43), P_intersection_point-{F}(V42,V43,V41), P_line_connecting-{F}(V41,V17,V44), distinct_lines-{F}(V44,V45), convergent_lines-{F}(V44,V46), P_intersection_point-{F}(V44,V46,V41), convergent_lines-{F}(V45,V47), P_intersection_point-{F}(V45,V47,V41), convergent_lines-{F}(V45,V48), P_intersection_point-{F}(V45,V48,V17) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #308: mergings( V6 == V13, V13 == V19, V19 == V22, V22 == V26, V8 == V27, V14 == V32, V21 == V1, V11 == V15, V26 == V24; #296 ), references = 1, size of lhs = 40:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), distinct_lines-{F}(V5,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V4), convergent_lines-{F}(V7,V9), P_intersection_point-{F}(V7,V9,V3), convergent_lines-{F}(V5,V10), P_intersection_point-{F}(V5,V10,V3), P_line_connecting-{F}(V3,V3,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V3), distinct_lines-{F}(V11,V13), convergent_lines-{F}(V14,V13), P_intersection_point-{F}(V14,V13,V3), distinct_lines-{F}(V13,V15), convergent_lines-{F}(V15,V16), P_intersection_point-{F}(V15,V16,V3), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V3), convergent_lines-{F}(V18,V13), P_intersection_point-{F}(V18,V13,V3), distinct_lines-{F}(V13,V19), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V3), distinct_lines-{F}(V19,V21), convergent_lines-{F}(V21,V19), pppp0-{F}(V21,V19,V13), P_intersection_point-{F}(V21,V13,V3), P_intersection_point-{F}(V13,V21,V3), convergent_lines-{F}(V22,V19), P_intersection_point-{F}(V22,V19,V4), convergent_lines-{F}(V11,V23), P_intersection_point-{F}(V11,V23,V3) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #319: mergings( V17 == V14, V14 == V19, V6 == V19, V19 == V22, V8 == V23, V22 == V28, V15 == V29, V28 == V31, V29 == V32, V1 == V20; #297 ), references = 1, size of lhs = 37:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), distinct_lines-{F}(V5,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V4), convergent_lines-{F}(V7,V9), P_intersection_point-{F}(V7,V9,V3), convergent_lines-{F}(V5,V10), P_intersection_point-{F}(V5,V10,V3), P_line_connecting-{F}(V3,V3,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V3), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), distinct_lines-{F}(V11,V14), convergent_lines-{F}(V15,V14), P_intersection_point-{F}(V15,V14,V3), distinct_lines-{F}(V14,V16), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V3), convergent_lines-{F}(V16,V18), P_intersection_point-{F}(V16,V18,V3), convergent_lines-{F}(V11,V19), P_intersection_point-{F}(V11,V19,V3), P_intersection_point-{F}(V20,V14,V3), P_intersection_point-{F}(V14,V20,V3), convergent_lines-{F}(V20,V21), distinct_lines-{F}(V21,V20), pppp0-{F}(V20,V21,V14), convergent_lines-{F}(V22,V21), P_intersection_point-{F}(V22,V21,V4) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #331: mergings( V17 == V14, V14 == V19, V6 == V19, V19 == V23, V8 == V24, V23 == V22, V22 == V29, V15 == V30, V29 == V32, V30 == V33, V1 == V20; #298 ), references = 1, size of lhs = 37:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), distinct_lines-{F}(V5,V7), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V4), convergent_lines-{F}(V7,V9), P_intersection_point-{F}(V7,V9,V3), convergent_lines-{F}(V5,V10), P_intersection_point-{F}(V5,V10,V3), P_line_connecting-{F}(V3,V3,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V3), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), distinct_lines-{F}(V11,V14), convergent_lines-{F}(V15,V14), P_intersection_point-{F}(V15,V14,V3), distinct_lines-{F}(V14,V16), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V3), convergent_lines-{F}(V16,V18), P_intersection_point-{F}(V16,V18,V3), convergent_lines-{F}(V11,V19), P_intersection_point-{F}(V11,V19,V3), P_intersection_point-{F}(V20,V14,V3), P_intersection_point-{F}(V14,V20,V3), convergent_lines-{F}(V20,V21), distinct_lines-{F}(V21,V20), pppp0-{F}(V20,V21,V14), convergent_lines-{F}(V22,V21), P_intersection_point-{F}(V22,V21,V4) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #352: mergings( V9 == V16, V16 == V26, V11 == V27, V26 == V32, V17 == V33, V32 == V35, V33 == V36, V1 == V24, V18 == V4; #340 ), references = 1, size of lhs = 41:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V5,V3), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V5), P_intersection_point-{F}(V1,V8,V5), P_intersection_point-{F}(V8,V1,V9), convergent_lines-{F}(V8,V10), distinct_lines-{F}(V10,V8), pppp0-{F}(V8,V10,V1), convergent_lines-{F}(V11,V10), P_intersection_point-{F}(V11,V10,V12), P_line_connecting-{F}(V5,V12,V13), distinct_lines-{F}(V13,V14), convergent_lines-{F}(V15,V14), P_intersection_point-{F}(V15,V14,V12), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V5), convergent_lines-{F}(V13,V17), P_intersection_point-{F}(V13,V17,V5), distinct_lines-{F}(V13,V18), convergent_lines-{F}(V19,V18), P_intersection_point-{F}(V19,V18,V12), convergent_lines-{F}(V18,V20), P_intersection_point-{F}(V18,V20,V5), convergent_lines-{F}(V13,V21), P_intersection_point-{F}(V13,V21,V5), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V5), distinct_lines-{F}(V23,V24), convergent_lines-{F}(V24,V25), P_intersection_point-{F}(V24,V25,V5), convergent_lines-{F}(V26,V23), P_intersection_point-{F}(V26,V23,V2), convergent_lines-{F}(V24,V27), P_intersection_point-{F}(V24,V27,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #363: mergings( V9 == V16, V16 == V27, V11 == V28, V27 == V33, V17 == V34, V33 == V36, V34 == V37, V1 == V24, V18 == V4, V23 == V26; #341 ), references = 1, size of lhs = 41:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V5,V3), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V5), P_intersection_point-{F}(V1,V8,V5), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V11), P_intersection_point-{F}(V8,V1,V12), P_line_connecting-{F}(V5,V11,V13), distinct_lines-{F}(V13,V14), convergent_lines-{F}(V15,V14), P_intersection_point-{F}(V15,V14,V11), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V5), convergent_lines-{F}(V13,V17), P_intersection_point-{F}(V13,V17,V5), distinct_lines-{F}(V13,V18), convergent_lines-{F}(V19,V18), P_intersection_point-{F}(V19,V18,V11), convergent_lines-{F}(V18,V20), P_intersection_point-{F}(V18,V20,V5), convergent_lines-{F}(V13,V21), P_intersection_point-{F}(V13,V21,V5), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V5), distinct_lines-{F}(V23,V24), convergent_lines-{F}(V24,V25), P_intersection_point-{F}(V24,V25,V5), convergent_lines-{F}(V26,V23), P_intersection_point-{F}(V26,V23,V2), convergent_lines-{F}(V24,V27), P_intersection_point-{F}(V24,V27,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #372: mergings( V9 == V16, V16 == V26, V26 == V27, V11 == V28, V27 == V33, V17 == V34, V1 == V24, V18 == V4; #342 ), references = 1, size of lhs = 51:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V5,V3), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), P_intersection_point-{F}(V1,V7,V5), P_intersection_point-{F}(V7,V1,V8), convergent_lines-{F}(V7,V9), distinct_lines-{F}(V9,V7), pppp0-{F}(V7,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V11), P_line_connecting-{F}(V5,V11,V12), distinct_lines-{F}(V12,V13), convergent_lines-{F}(V14,V13), P_intersection_point-{F}(V14,V13,V11), convergent_lines-{F}(V13,V15), P_intersection_point-{F}(V13,V15,V5), convergent_lines-{F}(V12,V16), P_intersection_point-{F}(V12,V16,V5), distinct_lines-{F}(V12,V17), convergent_lines-{F}(V18,V17), P_intersection_point-{F}(V18,V17,V11), convergent_lines-{F}(V17,V19), P_intersection_point-{F}(V17,V19,V5), convergent_lines-{F}(V12,V20), P_intersection_point-{F}(V12,V20,V5), distinct_lines-{F}(V21,V1), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V5), P_line_connecting-{F}(V23,V5,V21), P_line_connecting-{F}(V23,V11,V24), distinct_lines-{F}(V24,V25), convergent_lines-{F}(V26,V25), P_intersection_point-{F}(V26,V25,V11), convergent_lines-{F}(V25,V27), P_intersection_point-{F}(V25,V27,V23), convergent_lines-{F}(V24,V28), P_intersection_point-{F}(V24,V28,V23), convergent_lines-{F}(V29,V30), P_intersection_point-{F}(V29,V30,V5), distinct_lines-{F}(V30,V31), convergent_lines-{F}(V31,V32), P_intersection_point-{F}(V31,V32,V5), convergent_lines-{F}(V33,V30), P_intersection_point-{F}(V33,V30,V2), convergent_lines-{F}(V31,V34), P_intersection_point-{F}(V31,V34,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #385: mergings( V9 == V16, V16 == V25, V11 == V26, V25 == V31, V17 == V32, V31 == V34, V32 == V35, V22 == V23, V1 == V4; #373 ), references = 1, size of lhs = 40:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V5,V3), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V5), P_intersection_point-{F}(V1,V8,V5), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V11), P_line_connecting-{F}(V5,V11,V12), distinct_lines-{F}(V12,V13), convergent_lines-{F}(V14,V13), P_intersection_point-{F}(V14,V13,V11), convergent_lines-{F}(V13,V15), P_intersection_point-{F}(V13,V15,V5), convergent_lines-{F}(V12,V16), P_intersection_point-{F}(V12,V16,V5), distinct_lines-{F}(V12,V17), convergent_lines-{F}(V18,V17), P_intersection_point-{F}(V18,V17,V11), convergent_lines-{F}(V17,V19), P_intersection_point-{F}(V17,V19,V5), convergent_lines-{F}(V12,V20), P_intersection_point-{F}(V12,V20,V5), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V5), distinct_lines-{F}(V22,V23), convergent_lines-{F}(V23,V24), P_intersection_point-{F}(V23,V24,V5), convergent_lines-{F}(V25,V22), P_intersection_point-{F}(V25,V22,V2), convergent_lines-{F}(V23,V26), P_intersection_point-{F}(V23,V26,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #394: mergings( V8 == V15, V15 == V24, V10 == V25, V24 == V30, V16 == V31, V30 == V33, V31 == V34, V21 == V22; #374 ), references = 1, size of lhs = 40:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V5,V3), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), convergent_lines-{F}(V3,V7), P_intersection_point-{F}(V3,V7,V5), P_intersection_point-{F}(V1,V8,V5), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V11), P_line_connecting-{F}(V5,V11,V12), distinct_lines-{F}(V12,V13), convergent_lines-{F}(V14,V13), P_intersection_point-{F}(V14,V13,V11), convergent_lines-{F}(V13,V15), P_intersection_point-{F}(V13,V15,V5), convergent_lines-{F}(V12,V16), P_intersection_point-{F}(V12,V16,V5), distinct_lines-{F}(V12,V17), convergent_lines-{F}(V18,V17), P_intersection_point-{F}(V18,V17,V11), convergent_lines-{F}(V17,V19), P_intersection_point-{F}(V17,V19,V5), convergent_lines-{F}(V12,V20), P_intersection_point-{F}(V12,V20,V5), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V5), distinct_lines-{F}(V22,V23), convergent_lines-{F}(V23,V24), P_intersection_point-{F}(V23,V24,V5), convergent_lines-{F}(V25,V22), P_intersection_point-{F}(V25,V22,V2), convergent_lines-{F}(V23,V26), P_intersection_point-{F}(V23,V26,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #403: mergings( V9 == V16, V16 == V25, V25 == V26, V11 == V27, V26 == V32, V17 == V33, V22 == V23, V1 == V4; #375 ), references = 1, size of lhs = 50:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V5,V3), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V5), P_intersection_point-{F}(V1,V7,V5), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V7), pppp0-{F}(V7,V8,V1), convergent_lines-{F}(V9,V8), P_intersection_point-{F}(V9,V8,V10), P_line_connecting-{F}(V5,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V13,V12), P_intersection_point-{F}(V13,V12,V10), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V5), convergent_lines-{F}(V11,V15), P_intersection_point-{F}(V11,V15,V5), distinct_lines-{F}(V11,V16), convergent_lines-{F}(V17,V16), P_intersection_point-{F}(V17,V16,V10), convergent_lines-{F}(V16,V18), P_intersection_point-{F}(V16,V18,V5), convergent_lines-{F}(V11,V19), P_intersection_point-{F}(V11,V19,V5), distinct_lines-{F}(V20,V1), convergent_lines-{F}(V20,V21), P_intersection_point-{F}(V20,V21,V5), P_line_connecting-{F}(V22,V5,V20), P_line_connecting-{F}(V22,V10,V23), distinct_lines-{F}(V23,V24), convergent_lines-{F}(V25,V24), P_intersection_point-{F}(V25,V24,V10), convergent_lines-{F}(V24,V26), P_intersection_point-{F}(V24,V26,V22), convergent_lines-{F}(V23,V27), P_intersection_point-{F}(V23,V27,V22), convergent_lines-{F}(V28,V29), P_intersection_point-{F}(V28,V29,V5), distinct_lines-{F}(V29,V30), convergent_lines-{F}(V30,V31), P_intersection_point-{F}(V30,V31,V5), convergent_lines-{F}(V32,V29), P_intersection_point-{F}(V32,V29,V2), convergent_lines-{F}(V30,V33), P_intersection_point-{F}(V30,V33,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #439: exists( #23, #435 ), references = 1, size of lhs = 68:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), P_intersection_point-{F}(V24,V1,V25), convergent_lines-{F}(V26,V24), P_intersection_point-{F}(V26,V24,V27), P_line_connecting-{F}(V7,V27,V28), convergent_lines-{F}(V28,V29), P_intersection_point-{F}(V28,V29,V30), convergent_lines-{F}(V31,V24), P_intersection_point-{F}(V31,V24,V27), distinct_lines-{F}(V32,V28), convergent_lines-{F}(V32,V33), P_intersection_point-{F}(V32,V33,V30), P_line_connecting-{F}(V34,V27,V32), P_line_connecting-{F}(V34,V7,V35), distinct_lines-{F}(V35,V36), convergent_lines-{F}(V37,V36), P_intersection_point-{F}(V37,V36,V7), convergent_lines-{F}(V36,V38), P_intersection_point-{F}(V36,V38,V34), convergent_lines-{F}(V35,V39), P_intersection_point-{F}(V35,V39,V34), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V7), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V43), P_line_connecting-{F}(V43,V7,V44), distinct_lines-{F}(V44,V41), convergent_lines-{F}(V44,V45), P_intersection_point-{F}(V44,V45,V43), P_line_connecting-{F}(V43,V30,V46), distinct_lines-{F}(V46,V47), convergent_lines-{F}(V46,V48), P_intersection_point-{F}(V46,V48,V43), convergent_lines-{F}(V47,V49), P_intersection_point-{F}(V47,V49,V43), convergent_lines-{F}(V47,V50), P_intersection_point-{F}(V47,V50,V30) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #440: exists( #23, #436 ), references = 1, size of lhs = 68:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), P_intersection_point-{F}(V24,V1,V25), convergent_lines-{F}(V26,V24), P_intersection_point-{F}(V26,V24,V27), P_line_connecting-{F}(V27,V7,V28), convergent_lines-{F}(V28,V29), P_intersection_point-{F}(V28,V29,V30), convergent_lines-{F}(V31,V24), P_intersection_point-{F}(V31,V24,V27), distinct_lines-{F}(V32,V28), convergent_lines-{F}(V32,V33), P_intersection_point-{F}(V32,V33,V30), P_line_connecting-{F}(V34,V27,V32), P_line_connecting-{F}(V34,V7,V35), distinct_lines-{F}(V35,V36), convergent_lines-{F}(V37,V36), P_intersection_point-{F}(V37,V36,V7), convergent_lines-{F}(V36,V38), P_intersection_point-{F}(V36,V38,V34), convergent_lines-{F}(V35,V39), P_intersection_point-{F}(V35,V39,V34), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V7), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V43), P_line_connecting-{F}(V43,V7,V44), distinct_lines-{F}(V44,V41), convergent_lines-{F}(V44,V45), P_intersection_point-{F}(V44,V45,V43), P_line_connecting-{F}(V43,V30,V46), distinct_lines-{F}(V46,V47), convergent_lines-{F}(V46,V48), P_intersection_point-{F}(V46,V48,V43), convergent_lines-{F}(V47,V49), P_intersection_point-{F}(V47,V49,V43), convergent_lines-{F}(V47,V50), P_intersection_point-{F}(V47,V50,V30) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #443: exists( #23, #437 ), references = 1, size of lhs = 67:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), convergent_lines-{F}(V25,V24), P_intersection_point-{F}(V25,V24,V26), P_line_connecting-{F}(V7,V26,V27), convergent_lines-{F}(V27,V28), P_intersection_point-{F}(V27,V28,V29), convergent_lines-{F}(V30,V24), P_intersection_point-{F}(V30,V24,V26), distinct_lines-{F}(V31,V27), convergent_lines-{F}(V31,V32), P_intersection_point-{F}(V31,V32,V29), P_line_connecting-{F}(V33,V26,V31), P_line_connecting-{F}(V33,V7,V34), distinct_lines-{F}(V34,V35), convergent_lines-{F}(V36,V35), P_intersection_point-{F}(V36,V35,V7), convergent_lines-{F}(V35,V37), P_intersection_point-{F}(V35,V37,V33), convergent_lines-{F}(V34,V38), P_intersection_point-{F}(V34,V38,V33), convergent_lines-{F}(V39,V40), P_intersection_point-{F}(V39,V40,V7), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V42), P_line_connecting-{F}(V42,V7,V43), distinct_lines-{F}(V43,V40), convergent_lines-{F}(V43,V44), P_intersection_point-{F}(V43,V44,V42), P_line_connecting-{F}(V42,V29,V45), distinct_lines-{F}(V45,V46), convergent_lines-{F}(V45,V47), P_intersection_point-{F}(V45,V47,V42), convergent_lines-{F}(V46,V48), P_intersection_point-{F}(V46,V48,V42), convergent_lines-{F}(V46,V49), P_intersection_point-{F}(V46,V49,V29) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #457: mergings( V21 == V25, V25 == V26, V26 == V32; #453 ), references = 1, size of lhs = 39:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), P_line_connecting-{F}(V3,V4,V5), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V3), convergent_lines-{F}(V7,V8), distinct_lines-{F}(V8,V9), P_intersection_point-{F}(V7,V8,V10), P_line_connecting-{F}(V3,V10,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V3), convergent_lines-{F}(V12,V14), P_intersection_point-{F}(V12,V14,V3), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V10), convergent_lines-{F}(V9,V16), P_intersection_point-{F}(V9,V16,V10), convergent_lines-{F}(V17,V8), P_intersection_point-{F}(V17,V8,V18), convergent_lines-{F}(V9,V19), P_intersection_point-{F}(V9,V19,V18), P_line_connecting-{F}(V18,V4,V20), distinct_lines-{F}(V20,V21), convergent_lines-{F}(V22,V21), P_intersection_point-{F}(V22,V21,V4), convergent_lines-{F}(V21,V23), P_intersection_point-{F}(V21,V23,V18), convergent_lines-{F}(V20,V24), P_intersection_point-{F}(V20,V24,V18), convergent_lines-{F}(V25,V26), P_intersection_point-{F}(V25,V26,V4), distinct_lines-{F}(V26,V27), convergent_lines-{F}(V27,V26), pppp0-{F}(V27,V26,V28), P_intersection_point-{F}(V27,V28,V18) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #478: mergings( V4 == V30, V6 == V31; #475 ), references = 1, size of lhs = 42:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V7), P_line_connecting-{F}(V7,V4,V5), P_intersection_point-{F}(V1,V8,V7), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V4), convergent_lines-{F}(V11,V8), P_intersection_point-{F}(V11,V8,V7), P_intersection_point-{F}(V8,V1,V12), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V4), convergent_lines-{F}(V14,V15), P_intersection_point-{F}(V14,V15,V16), P_line_connecting-{F}(V16,V4,V17), distinct_lines-{F}(V17,V14), convergent_lines-{F}(V17,V18), P_intersection_point-{F}(V17,V18,V16), convergent_lines-{F}(V19,V20), distinct_lines-{F}(V20,V21), P_intersection_point-{F}(V19,V20,V22), P_line_connecting-{F}(V16,V22,V23), distinct_lines-{F}(V23,V24), convergent_lines-{F}(V23,V25), P_intersection_point-{F}(V23,V25,V16), convergent_lines-{F}(V24,V26), P_intersection_point-{F}(V24,V26,V16), convergent_lines-{F}(V24,V27), P_intersection_point-{F}(V24,V27,V22), convergent_lines-{F}(V21,V28), P_intersection_point-{F}(V21,V28,V22), convergent_lines-{F}(V29,V20), P_intersection_point-{F}(V29,V20,V2), convergent_lines-{F}(V21,V30), P_intersection_point-{F}(V21,V30,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #480: exists( #23, #475 ), references = 1, size of lhs = 41:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V7), P_line_connecting-{F}(V7,V4,V5), P_intersection_point-{F}(V1,V8,V7), convergent_lines-{F}(V8,V9), distinct_lines-{F}(V9,V8), pppp0-{F}(V8,V9,V1), convergent_lines-{F}(V10,V9), P_intersection_point-{F}(V10,V9,V4), convergent_lines-{F}(V11,V8), P_intersection_point-{F}(V11,V8,V7), convergent_lines-{F}(V12,V13), P_intersection_point-{F}(V12,V13,V4), convergent_lines-{F}(V13,V14), P_intersection_point-{F}(V13,V14,V15), P_line_connecting-{F}(V15,V4,V16), distinct_lines-{F}(V16,V13), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V15), convergent_lines-{F}(V18,V19), distinct_lines-{F}(V19,V20), P_intersection_point-{F}(V18,V19,V21), P_line_connecting-{F}(V15,V21,V22), distinct_lines-{F}(V22,V23), convergent_lines-{F}(V22,V24), P_intersection_point-{F}(V22,V24,V15), convergent_lines-{F}(V23,V25), P_intersection_point-{F}(V23,V25,V15), convergent_lines-{F}(V23,V26), P_intersection_point-{F}(V23,V26,V21), convergent_lines-{F}(V20,V27), P_intersection_point-{F}(V20,V27,V21), convergent_lines-{F}(V28,V19), P_intersection_point-{F}(V28,V19,V2), convergent_lines-{F}(V20,V29), P_intersection_point-{F}(V20,V29,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #495: exists( #23, #493 ), references = 1, size of lhs = 36:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), P_intersection_point-{F}(V24,V1,V25), convergent_lines-{F}(V26,V24), P_intersection_point-{F}(V26,V24,V27), P_line_connecting-{F}(V27,V7,V24) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #497: exists( #23, #494 ), references = 1, size of lhs = 35:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V6), P_intersection_point-{F}(V3,V4,V7), P_line_connecting-{F}(V6,V7,V8), distinct_lines-{F}(V8,V4), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V6), convergent_lines-{F}(V10,V11), distinct_lines-{F}(V11,V12), P_intersection_point-{F}(V10,V11,V13), P_line_connecting-{F}(V6,V13,V14), distinct_lines-{F}(V14,V15), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V6), convergent_lines-{F}(V15,V17), P_intersection_point-{F}(V15,V17,V6), convergent_lines-{F}(V15,V18), P_intersection_point-{F}(V15,V18,V13), convergent_lines-{F}(V12,V19), P_intersection_point-{F}(V12,V19,V13), convergent_lines-{F}(V20,V11), P_intersection_point-{F}(V20,V11,V2), convergent_lines-{F}(V12,V21), P_intersection_point-{F}(V12,V21,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V7), distinct_lines-{F}(V23,V24), pppp0-{F}(V24,V23,V1), convergent_lines-{F}(V24,V23), convergent_lines-{F}(V25,V24), P_intersection_point-{F}(V25,V24,V26), P_line_connecting-{F}(V26,V7,V24) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #511: mergings( V29 == V33, V33 == V37, V26 == V1, V4 == V27; #504 ), references = 1, size of lhs = 51:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V7,V7,V1), distinct_lines-{F}(V1,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V7), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V7), distinct_lines-{F}(V1,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V7), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V7), P_intersection_point-{F}(V1,V14,V7), convergent_lines-{F}(V14,V15), distinct_lines-{F}(V15,V14), pppp0-{F}(V14,V15,V1), convergent_lines-{F}(V16,V15), P_intersection_point-{F}(V16,V15,V5), P_intersection_point-{F}(V14,V1,V17), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V5), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V21), P_line_connecting-{F}(V21,V5,V22), distinct_lines-{F}(V22,V19), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V21), convergent_lines-{F}(V24,V25), distinct_lines-{F}(V25,V26), P_intersection_point-{F}(V24,V25,V27), P_line_connecting-{F}(V21,V27,V28), distinct_lines-{F}(V28,V29), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V21), convergent_lines-{F}(V29,V31), P_intersection_point-{F}(V29,V31,V21), convergent_lines-{F}(V29,V32), P_intersection_point-{F}(V29,V32,V27), convergent_lines-{F}(V26,V33), P_intersection_point-{F}(V26,V33,V27), convergent_lines-{F}(V34,V25), P_intersection_point-{F}(V34,V25,V2), convergent_lines-{F}(V26,V35), P_intersection_point-{F}(V26,V35,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #517: mergings( V30 == V34, V34 == V38, V26 == V1, V4 == V28, V27 == V29; #505 ), references = 1, size of lhs = 51:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V7,V7,V1), distinct_lines-{F}(V1,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V7), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V7), distinct_lines-{F}(V1,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V7), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V7), P_intersection_point-{F}(V1,V14,V7), convergent_lines-{F}(V14,V15), distinct_lines-{F}(V15,V14), pppp0-{F}(V14,V15,V1), convergent_lines-{F}(V16,V15), P_intersection_point-{F}(V16,V15,V5), P_intersection_point-{F}(V14,V1,V17), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V5), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V21), P_line_connecting-{F}(V21,V5,V22), distinct_lines-{F}(V22,V19), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V21), convergent_lines-{F}(V24,V25), distinct_lines-{F}(V25,V26), P_intersection_point-{F}(V24,V25,V27), P_line_connecting-{F}(V21,V27,V28), distinct_lines-{F}(V28,V29), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V21), convergent_lines-{F}(V29,V31), P_intersection_point-{F}(V29,V31,V21), convergent_lines-{F}(V29,V32), P_intersection_point-{F}(V29,V32,V27), convergent_lines-{F}(V26,V33), P_intersection_point-{F}(V26,V33,V27), convergent_lines-{F}(V34,V25), P_intersection_point-{F}(V34,V25,V2), convergent_lines-{F}(V26,V35), P_intersection_point-{F}(V26,V35,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #523: mergings( V15 == V17, V17 == V23, V11 == V1, V8 == V13, V7 == V23; #506 ), references = 1, size of lhs = 56:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_line_connecting-{F}(V4,V2,V5), distinct_lines-{F}(V5,V1), P_line_connecting-{F}(V4,V4,V5), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), distinct_lines-{F}(V5,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V4), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V4), distinct_lines-{F}(V5,V11), convergent_lines-{F}(V12,V11), P_intersection_point-{F}(V12,V11,V2), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V4), distinct_lines-{F}(V5,V14), convergent_lines-{F}(V14,V15), P_intersection_point-{F}(V14,V15,V4), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V4), P_intersection_point-{F}(V5,V17,V4), convergent_lines-{F}(V17,V18), distinct_lines-{F}(V18,V17), pppp0-{F}(V17,V18,V5), convergent_lines-{F}(V19,V18), P_intersection_point-{F}(V19,V18,V2), P_intersection_point-{F}(V17,V5,V20), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V2), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V24), P_line_connecting-{F}(V24,V2,V25), distinct_lines-{F}(V25,V22), convergent_lines-{F}(V25,V26), P_intersection_point-{F}(V25,V26,V24), convergent_lines-{F}(V27,V28), distinct_lines-{F}(V28,V29), P_intersection_point-{F}(V27,V28,V30), P_line_connecting-{F}(V24,V30,V31), distinct_lines-{F}(V31,V32), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V24), convergent_lines-{F}(V32,V34), P_intersection_point-{F}(V32,V34,V24), convergent_lines-{F}(V32,V35), P_intersection_point-{F}(V32,V35,V30), convergent_lines-{F}(V29,V36), P_intersection_point-{F}(V29,V36,V30), convergent_lines-{F}(V37,V28), P_intersection_point-{F}(V37,V28,V7), convergent_lines-{F}(V29,V38), P_intersection_point-{F}(V29,V38,V7) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #531: mergings( V28 == V32, V32 == V36, V26 == V27, V4 == V1; #524 ), references = 1, size of lhs = 50:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V7,V7,V1), distinct_lines-{F}(V1,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V7), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V7), distinct_lines-{F}(V1,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V7), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V7), P_intersection_point-{F}(V1,V14,V7), convergent_lines-{F}(V14,V15), distinct_lines-{F}(V15,V14), pppp0-{F}(V14,V15,V1), convergent_lines-{F}(V16,V15), P_intersection_point-{F}(V16,V15,V5), convergent_lines-{F}(V17,V18), P_intersection_point-{F}(V17,V18,V5), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V20), P_line_connecting-{F}(V20,V5,V21), distinct_lines-{F}(V21,V18), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V20), convergent_lines-{F}(V23,V24), distinct_lines-{F}(V24,V25), P_intersection_point-{F}(V23,V24,V26), P_line_connecting-{F}(V20,V26,V27), distinct_lines-{F}(V27,V28), convergent_lines-{F}(V27,V29), P_intersection_point-{F}(V27,V29,V20), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V20), convergent_lines-{F}(V28,V31), P_intersection_point-{F}(V28,V31,V26), convergent_lines-{F}(V25,V32), P_intersection_point-{F}(V25,V32,V26), convergent_lines-{F}(V33,V24), P_intersection_point-{F}(V33,V24,V2), convergent_lines-{F}(V25,V34), P_intersection_point-{F}(V25,V34,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #535: mergings( V27 == V31, V31 == V35, V25 == V26; #525 ), references = 1, size of lhs = 50:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V4,V3), P_intersection_point-{F}(V4,V3,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V7,V5,V1), P_line_connecting-{F}(V7,V7,V1), distinct_lines-{F}(V1,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V7), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V7), distinct_lines-{F}(V1,V11), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V7), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V7), P_intersection_point-{F}(V1,V14,V7), convergent_lines-{F}(V14,V15), distinct_lines-{F}(V15,V14), pppp0-{F}(V14,V15,V1), convergent_lines-{F}(V16,V15), P_intersection_point-{F}(V16,V15,V5), convergent_lines-{F}(V17,V18), P_intersection_point-{F}(V17,V18,V5), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V20), P_line_connecting-{F}(V20,V5,V21), distinct_lines-{F}(V21,V18), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V20), convergent_lines-{F}(V23,V24), distinct_lines-{F}(V24,V25), P_intersection_point-{F}(V23,V24,V26), P_line_connecting-{F}(V20,V26,V27), distinct_lines-{F}(V27,V28), convergent_lines-{F}(V27,V29), P_intersection_point-{F}(V27,V29,V20), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V20), convergent_lines-{F}(V28,V31), P_intersection_point-{F}(V28,V31,V26), convergent_lines-{F}(V25,V32), P_intersection_point-{F}(V25,V32,V26), convergent_lines-{F}(V33,V24), P_intersection_point-{F}(V33,V24,V2), convergent_lines-{F}(V25,V34), P_intersection_point-{F}(V25,V34,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #541: mergings( V14 == V16, V16 == V22, V11 == V13, V8 == V1, V7 == V22; #526 ), references = 1, size of lhs = 55:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), P_line_connecting-{F}(V4,V2,V5), distinct_lines-{F}(V5,V1), P_line_connecting-{F}(V4,V4,V5), convergent_lines-{F}(V6,V5), P_intersection_point-{F}(V6,V5,V7), distinct_lines-{F}(V5,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V4), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V4), distinct_lines-{F}(V5,V11), convergent_lines-{F}(V12,V11), P_intersection_point-{F}(V12,V11,V2), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V4), distinct_lines-{F}(V5,V14), convergent_lines-{F}(V14,V15), P_intersection_point-{F}(V14,V15,V4), convergent_lines-{F}(V14,V16), P_intersection_point-{F}(V14,V16,V4), P_intersection_point-{F}(V5,V17,V4), convergent_lines-{F}(V17,V18), distinct_lines-{F}(V18,V17), pppp0-{F}(V17,V18,V5), convergent_lines-{F}(V19,V18), P_intersection_point-{F}(V19,V18,V2), convergent_lines-{F}(V20,V21), P_intersection_point-{F}(V20,V21,V2), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V23), P_line_connecting-{F}(V23,V2,V24), distinct_lines-{F}(V24,V21), convergent_lines-{F}(V24,V25), P_intersection_point-{F}(V24,V25,V23), convergent_lines-{F}(V26,V27), distinct_lines-{F}(V27,V28), P_intersection_point-{F}(V26,V27,V29), P_line_connecting-{F}(V23,V29,V30), distinct_lines-{F}(V30,V31), convergent_lines-{F}(V30,V32), P_intersection_point-{F}(V30,V32,V23), convergent_lines-{F}(V31,V33), P_intersection_point-{F}(V31,V33,V23), convergent_lines-{F}(V31,V34), P_intersection_point-{F}(V31,V34,V29), convergent_lines-{F}(V28,V35), P_intersection_point-{F}(V28,V35,V29), convergent_lines-{F}(V36,V27), P_intersection_point-{F}(V36,V27,V7), convergent_lines-{F}(V28,V37), P_intersection_point-{F}(V28,V37,V7) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #547: exists( #23, #545 ), references = 1, size of lhs = 30:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V1), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V5,V6,V1), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V6), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V9,V10), P_line_connecting-{F}(V10,V6,V11), distinct_lines-{F}(V11,V8), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V10), convergent_lines-{F}(V13,V14), distinct_lines-{F}(V14,V15), P_intersection_point-{F}(V13,V14,V16), P_line_connecting-{F}(V10,V16,V17), distinct_lines-{F}(V17,V18), convergent_lines-{F}(V17,V19), P_intersection_point-{F}(V17,V19,V10), convergent_lines-{F}(V18,V20), P_intersection_point-{F}(V18,V20,V10), convergent_lines-{F}(V18,V21), P_intersection_point-{F}(V18,V21,V16), convergent_lines-{F}(V15,V22), P_intersection_point-{F}(V15,V22,V16), convergent_lines-{F}(V23,V14), P_intersection_point-{F}(V23,V14,V2), convergent_lines-{F}(V15,V24), P_intersection_point-{F}(V15,V24,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #550: exists( #23, #548 ), references = 1, size of lhs = 4:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V1), P_intersection_point-{F}(V3,V4,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #565: mergings( V5 == V43, V6 == V44; #562 ), references = 1, size of lhs = 61:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), convergent_lines-{F}(V3,V6), P_intersection_point-{F}(V3,V6,V7), P_line_connecting-{F}(V5,V7,V1), P_intersection_point-{F}(V1,V8,V5), pppp0-{F}(V8,V9,V1), P_intersection_point-{F}(V8,V9,V10), convergent_lines-{F}(V11,V12), convergent_lines-{F}(V12,V13), P_intersection_point-{F}(V12,V13,V14), P_intersection_point-{F}(V11,V12,V15), P_line_connecting-{F}(V14,V15,V16), distinct_lines-{F}(V16,V12), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V14), convergent_lines-{F}(V18,V19), distinct_lines-{F}(V19,V20), P_intersection_point-{F}(V18,V19,V21), P_line_connecting-{F}(V14,V21,V22), distinct_lines-{F}(V22,V23), convergent_lines-{F}(V22,V24), P_intersection_point-{F}(V22,V24,V14), convergent_lines-{F}(V23,V25), P_intersection_point-{F}(V23,V25,V14), convergent_lines-{F}(V23,V26), P_intersection_point-{F}(V23,V26,V21), convergent_lines-{F}(V20,V27), P_intersection_point-{F}(V20,V27,V21), convergent_lines-{F}(V28,V19), P_intersection_point-{F}(V28,V19,V2), convergent_lines-{F}(V20,V29), P_intersection_point-{F}(V20,V29,V2), convergent_lines-{F}(V30,V31), P_intersection_point-{F}(V30,V31,V10), distinct_lines-{F}(V31,V32), convergent_lines-{F}(V32,V33), P_intersection_point-{F}(V32,V33,V10), convergent_lines-{F}(V34,V31), P_intersection_point-{F}(V34,V31,V15), convergent_lines-{F}(V35,V32), P_intersection_point-{F}(V35,V32,V5), convergent_lines-{F}(V36,V37), P_intersection_point-{F}(V36,V37,V15), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V39), P_line_connecting-{F}(V39,V15,V40), distinct_lines-{F}(V40,V37), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V39), P_line_connecting-{F}(V39,V7,V42), distinct_lines-{F}(V42,V43), convergent_lines-{F}(V42,V44), P_intersection_point-{F}(V42,V44,V39), convergent_lines-{F}(V43,V45), P_intersection_point-{F}(V43,V45,V39), convergent_lines-{F}(V43,V46), P_intersection_point-{F}(V43,V46,V7) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #578: exists( #23, #576 ), references = 1, size of lhs = 71:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V1), P_intersection_point-{F}(V3,V4,V5), convergent_lines-{F}(V6,V7), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V9), P_intersection_point-{F}(V6,V7,V10), P_line_connecting-{F}(V9,V10,V11), distinct_lines-{F}(V11,V7), convergent_lines-{F}(V11,V12), P_intersection_point-{F}(V11,V12,V9), convergent_lines-{F}(V13,V14), distinct_lines-{F}(V14,V15), P_intersection_point-{F}(V13,V14,V16), P_line_connecting-{F}(V9,V16,V17), distinct_lines-{F}(V17,V18), convergent_lines-{F}(V17,V19), P_intersection_point-{F}(V17,V19,V9), convergent_lines-{F}(V18,V20), P_intersection_point-{F}(V18,V20,V9), convergent_lines-{F}(V18,V21), P_intersection_point-{F}(V18,V21,V16), convergent_lines-{F}(V15,V22), P_intersection_point-{F}(V15,V22,V16), convergent_lines-{F}(V23,V14), P_intersection_point-{F}(V23,V14,V2), convergent_lines-{F}(V15,V24), P_intersection_point-{F}(V15,V24,V2), convergent_lines-{F}(V25,V26), P_intersection_point-{F}(V25,V26,V5), distinct_lines-{F}(V26,V27), convergent_lines-{F}(V27,V28), P_intersection_point-{F}(V27,V28,V5), convergent_lines-{F}(V29,V26), P_intersection_point-{F}(V29,V26,V10), convergent_lines-{F}(V30,V27), P_intersection_point-{F}(V30,V27,V31), convergent_lines-{F}(V32,V27), P_intersection_point-{F}(V32,V27,V31), convergent_lines-{F}(V33,V34), P_intersection_point-{F}(V33,V34,V10), convergent_lines-{F}(V34,V35), P_intersection_point-{F}(V34,V35,V36), P_line_connecting-{F}(V36,V10,V37), distinct_lines-{F}(V37,V34), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V36), P_line_connecting-{F}(V36,V31,V39), distinct_lines-{F}(V39,V40), convergent_lines-{F}(V39,V41), P_intersection_point-{F}(V39,V41,V42), P_line_connecting-{F}(V31,V42,V40), convergent_lines-{F}(V40,V43), P_intersection_point-{F}(V40,V43,V42), convergent_lines-{F}(V44,V45), P_intersection_point-{F}(V44,V45,V10), convergent_lines-{F}(V45,V46), P_intersection_point-{F}(V45,V46,V47), P_line_connecting-{F}(V47,V10,V48), distinct_lines-{F}(V48,V45), convergent_lines-{F}(V48,V49), P_intersection_point-{F}(V48,V49,V47), P_line_connecting-{F}(V47,V42,V50), distinct_lines-{F}(V50,V51), convergent_lines-{F}(V50,V52), P_intersection_point-{F}(V50,V52,V47), convergent_lines-{F}(V51,V53), P_intersection_point-{F}(V51,V53,V47), convergent_lines-{F}(V51,V54), P_intersection_point-{F}(V51,V54,V42) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #592: mergings( V8 == V12, V9 == V13; #589 ), references = 1, size of lhs = 53:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), distinct_lines-{F}(V5,V1), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V7), P_line_connecting-{F}(V7,V2,V5), P_intersection_point-{F}(V1,V8,V7), pppp0-{F}(V8,V9,V1), P_intersection_point-{F}(V8,V9,V10), convergent_lines-{F}(V11,V12), convergent_lines-{F}(V12,V13), P_intersection_point-{F}(V12,V13,V14), P_intersection_point-{F}(V11,V12,V15), P_line_connecting-{F}(V14,V15,V16), distinct_lines-{F}(V16,V12), convergent_lines-{F}(V16,V17), P_intersection_point-{F}(V16,V17,V14), P_line_connecting-{F}(V2,V15,V18), distinct_lines-{F}(V18,V19), convergent_lines-{F}(V20,V19), P_intersection_point-{F}(V20,V19,V15), convergent_lines-{F}(V19,V21), P_intersection_point-{F}(V19,V21,V2), convergent_lines-{F}(V18,V22), P_intersection_point-{F}(V18,V22,V2), convergent_lines-{F}(V23,V24), distinct_lines-{F}(V24,V25), P_intersection_point-{F}(V23,V24,V26), P_line_connecting-{F}(V14,V26,V27), distinct_lines-{F}(V27,V28), convergent_lines-{F}(V27,V29), P_intersection_point-{F}(V27,V29,V14), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V14), convergent_lines-{F}(V28,V31), P_intersection_point-{F}(V28,V31,V26), convergent_lines-{F}(V25,V32), P_intersection_point-{F}(V25,V32,V26), convergent_lines-{F}(V33,V24), P_intersection_point-{F}(V33,V24,V4), convergent_lines-{F}(V25,V34), P_intersection_point-{F}(V25,V34,V4), convergent_lines-{F}(V35,V36), P_intersection_point-{F}(V35,V36,V10), distinct_lines-{F}(V36,V37), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V10), convergent_lines-{F}(V39,V36), P_intersection_point-{F}(V39,V36,V15), convergent_lines-{F}(V40,V37), P_intersection_point-{F}(V40,V37,V7) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #623: mergings( V8 == V19, V9 == V20; #619 ), references = 1, size of lhs = 94:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), distinct_lines-{F}(V5,V1), P_intersection_point-{F}(V5,V6,V3), P_line_connecting-{F}(V7,V4,V5), P_line_connecting-{F}(V7,V3,V8), distinct_lines-{F}(V8,V9), convergent_lines-{F}(V8,V10), P_intersection_point-{F}(V8,V10,V11), convergent_lines-{F}(V9,V12), P_intersection_point-{F}(V9,V12,V11), convergent_lines-{F}(V9,V13), P_intersection_point-{F}(V9,V13,V3), convergent_lines-{F}(V14,V5), P_intersection_point-{F}(V14,V5,V15), pppp0-{F}(V6,V16,V5), P_intersection_point-{F}(V6,V16,V17), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V4), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V21), P_line_connecting-{F}(V21,V4,V22), distinct_lines-{F}(V22,V19), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V21), convergent_lines-{F}(V24,V25), distinct_lines-{F}(V25,V26), P_intersection_point-{F}(V24,V25,V27), P_line_connecting-{F}(V21,V27,V28), distinct_lines-{F}(V28,V29), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V21), convergent_lines-{F}(V29,V31), P_intersection_point-{F}(V29,V31,V21), convergent_lines-{F}(V29,V32), P_intersection_point-{F}(V29,V32,V27), convergent_lines-{F}(V26,V33), P_intersection_point-{F}(V26,V33,V27), convergent_lines-{F}(V34,V25), P_intersection_point-{F}(V34,V25,V15), convergent_lines-{F}(V26,V35), P_intersection_point-{F}(V26,V35,V15), convergent_lines-{F}(V36,V37), P_intersection_point-{F}(V36,V37,V17), distinct_lines-{F}(V37,V38), convergent_lines-{F}(V38,V39), P_intersection_point-{F}(V38,V39,V17), convergent_lines-{F}(V40,V37), P_intersection_point-{F}(V40,V37,V4), convergent_lines-{F}(V41,V38), P_intersection_point-{F}(V41,V38,V3), convergent_lines-{F}(V42,V43), P_intersection_point-{F}(V42,V43,V4), convergent_lines-{F}(V43,V44), P_intersection_point-{F}(V43,V44,V45), P_line_connecting-{F}(V45,V4,V46), distinct_lines-{F}(V46,V43), convergent_lines-{F}(V46,V47), P_intersection_point-{F}(V46,V47,V45), P_line_connecting-{F}(V45,V11,V48), distinct_lines-{F}(V48,V49), convergent_lines-{F}(V48,V50), P_intersection_point-{F}(V48,V50,V45), convergent_lines-{F}(V49,V51), P_intersection_point-{F}(V49,V51,V45), convergent_lines-{F}(V49,V52), P_intersection_point-{F}(V49,V52,V11), convergent_lines-{F}(V53,V54), P_intersection_point-{F}(V53,V54,V4), convergent_lines-{F}(V54,V55), P_intersection_point-{F}(V54,V55,V56), P_line_connecting-{F}(V56,V4,V57), distinct_lines-{F}(V57,V54), convergent_lines-{F}(V57,V58), P_intersection_point-{F}(V57,V58,V56), convergent_lines-{F}(V59,V60), distinct_lines-{F}(V60,V61), P_intersection_point-{F}(V59,V60,V62), P_line_connecting-{F}(V56,V62,V63), distinct_lines-{F}(V63,V64), convergent_lines-{F}(V63,V65), P_intersection_point-{F}(V63,V65,V56), convergent_lines-{F}(V64,V66), P_intersection_point-{F}(V64,V66,V56), convergent_lines-{F}(V64,V67), P_intersection_point-{F}(V64,V67,V62), convergent_lines-{F}(V61,V68), P_intersection_point-{F}(V61,V68,V62), convergent_lines-{F}(V69,V60), P_intersection_point-{F}(V69,V60,V11), convergent_lines-{F}(V61,V70), P_intersection_point-{F}(V61,V70,V11) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #626: mergings( V5 == V18, V6 == V19; #620 ), references = 1, size of lhs = 93:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_intersection_point-{F}(V1,V6,V5), pppp0-{F}(V6,V7,V1), P_intersection_point-{F}(V6,V7,V8), P_line_connecting-{F}(V9,V5,V3), P_line_connecting-{F}(V10,V9,V1), P_line_connecting-{F}(V10,V5,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V14), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V14), convergent_lines-{F}(V12,V16), P_intersection_point-{F}(V12,V16,V5), convergent_lines-{F}(V17,V18), P_intersection_point-{F}(V17,V18,V9), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V20), P_line_connecting-{F}(V20,V9,V21), distinct_lines-{F}(V21,V18), convergent_lines-{F}(V21,V22), P_intersection_point-{F}(V21,V22,V20), convergent_lines-{F}(V23,V24), distinct_lines-{F}(V24,V25), P_intersection_point-{F}(V23,V24,V26), P_line_connecting-{F}(V20,V26,V27), distinct_lines-{F}(V27,V28), convergent_lines-{F}(V27,V29), P_intersection_point-{F}(V27,V29,V20), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V20), convergent_lines-{F}(V28,V31), P_intersection_point-{F}(V28,V31,V26), convergent_lines-{F}(V25,V32), P_intersection_point-{F}(V25,V32,V26), convergent_lines-{F}(V33,V24), P_intersection_point-{F}(V33,V24,V2), convergent_lines-{F}(V25,V34), P_intersection_point-{F}(V25,V34,V2), convergent_lines-{F}(V35,V36), P_intersection_point-{F}(V35,V36,V8), distinct_lines-{F}(V36,V37), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V8), convergent_lines-{F}(V39,V36), P_intersection_point-{F}(V39,V36,V9), convergent_lines-{F}(V40,V37), P_intersection_point-{F}(V40,V37,V5), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V9), convergent_lines-{F}(V42,V43), P_intersection_point-{F}(V42,V43,V44), P_line_connecting-{F}(V44,V9,V45), distinct_lines-{F}(V45,V42), convergent_lines-{F}(V45,V46), P_intersection_point-{F}(V45,V46,V44), P_line_connecting-{F}(V44,V14,V47), distinct_lines-{F}(V47,V48), convergent_lines-{F}(V47,V49), P_intersection_point-{F}(V47,V49,V44), convergent_lines-{F}(V48,V50), P_intersection_point-{F}(V48,V50,V44), convergent_lines-{F}(V48,V51), P_intersection_point-{F}(V48,V51,V14), convergent_lines-{F}(V52,V53), P_intersection_point-{F}(V52,V53,V9), convergent_lines-{F}(V53,V54), P_intersection_point-{F}(V53,V54,V55), P_line_connecting-{F}(V55,V9,V56), distinct_lines-{F}(V56,V53), convergent_lines-{F}(V56,V57), P_intersection_point-{F}(V56,V57,V55), convergent_lines-{F}(V58,V59), distinct_lines-{F}(V59,V60), P_intersection_point-{F}(V58,V59,V61), P_line_connecting-{F}(V55,V61,V62), distinct_lines-{F}(V62,V63), convergent_lines-{F}(V62,V64), P_intersection_point-{F}(V62,V64,V55), convergent_lines-{F}(V63,V65), P_intersection_point-{F}(V63,V65,V55), convergent_lines-{F}(V63,V66), P_intersection_point-{F}(V63,V66,V61), convergent_lines-{F}(V60,V67), P_intersection_point-{F}(V60,V67,V61), convergent_lines-{F}(V68,V59), P_intersection_point-{F}(V68,V59,V14), convergent_lines-{F}(V60,V69), P_intersection_point-{F}(V60,V69,V14) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #629: exists( #23, #619 ), references = 1, size of lhs = 90:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), distinct_lines-{F}(V5,V1), P_line_connecting-{F}(V6,V4,V5), P_line_connecting-{F}(V6,V3,V7), distinct_lines-{F}(V7,V8), convergent_lines-{F}(V7,V9), P_intersection_point-{F}(V7,V9,V10), convergent_lines-{F}(V8,V11), P_intersection_point-{F}(V8,V11,V10), convergent_lines-{F}(V8,V12), P_intersection_point-{F}(V8,V12,V3), convergent_lines-{F}(V13,V5), P_intersection_point-{F}(V13,V5,V14), P_intersection_point-{F}(V5,V15,V3), convergent_lines-{F}(V15,V16), pppp0-{F}(V15,V16,V5), distinct_lines-{F}(V16,V15), convergent_lines-{F}(V17,V16), P_intersection_point-{F}(V17,V16,V4), convergent_lines-{F}(V18,V15), P_intersection_point-{F}(V18,V15,V3), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V4), convergent_lines-{F}(V20,V21), P_intersection_point-{F}(V20,V21,V22), P_line_connecting-{F}(V22,V4,V23), distinct_lines-{F}(V23,V20), convergent_lines-{F}(V23,V24), P_intersection_point-{F}(V23,V24,V22), convergent_lines-{F}(V25,V26), distinct_lines-{F}(V26,V27), P_intersection_point-{F}(V25,V26,V28), P_line_connecting-{F}(V22,V28,V29), distinct_lines-{F}(V29,V30), convergent_lines-{F}(V29,V31), P_intersection_point-{F}(V29,V31,V22), convergent_lines-{F}(V30,V32), P_intersection_point-{F}(V30,V32,V22), convergent_lines-{F}(V30,V33), P_intersection_point-{F}(V30,V33,V28), convergent_lines-{F}(V27,V34), P_intersection_point-{F}(V27,V34,V28), convergent_lines-{F}(V35,V26), P_intersection_point-{F}(V35,V26,V14), convergent_lines-{F}(V27,V36), P_intersection_point-{F}(V27,V36,V14), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V4), convergent_lines-{F}(V38,V39), P_intersection_point-{F}(V38,V39,V40), P_line_connecting-{F}(V40,V4,V41), distinct_lines-{F}(V41,V38), convergent_lines-{F}(V41,V42), P_intersection_point-{F}(V41,V42,V40), P_line_connecting-{F}(V40,V10,V43), distinct_lines-{F}(V43,V44), convergent_lines-{F}(V43,V45), P_intersection_point-{F}(V43,V45,V40), convergent_lines-{F}(V44,V46), P_intersection_point-{F}(V44,V46,V40), convergent_lines-{F}(V44,V47), P_intersection_point-{F}(V44,V47,V10), convergent_lines-{F}(V48,V49), P_intersection_point-{F}(V48,V49,V4), convergent_lines-{F}(V49,V50), P_intersection_point-{F}(V49,V50,V51), P_line_connecting-{F}(V51,V4,V52), distinct_lines-{F}(V52,V49), convergent_lines-{F}(V52,V53), P_intersection_point-{F}(V52,V53,V51), convergent_lines-{F}(V54,V55), distinct_lines-{F}(V55,V56), P_intersection_point-{F}(V54,V55,V57), P_line_connecting-{F}(V51,V57,V58), distinct_lines-{F}(V58,V59), convergent_lines-{F}(V58,V60), P_intersection_point-{F}(V58,V60,V51), convergent_lines-{F}(V59,V61), P_intersection_point-{F}(V59,V61,V51), convergent_lines-{F}(V59,V62), P_intersection_point-{F}(V59,V62,V57), convergent_lines-{F}(V56,V63), P_intersection_point-{F}(V56,V63,V57), convergent_lines-{F}(V64,V55), P_intersection_point-{F}(V64,V55,V10), convergent_lines-{F}(V56,V65), P_intersection_point-{F}(V56,V65,V10) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #630: exists( #23, #620 ), references = 1, size of lhs = 89:
% 85.67/85.82     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V1,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_intersection_point-{F}(V1,V6,V5), convergent_lines-{F}(V6,V7), pppp0-{F}(V6,V7,V1), distinct_lines-{F}(V7,V6), convergent_lines-{F}(V8,V7), P_intersection_point-{F}(V8,V7,V9), P_line_connecting-{F}(V9,V5,V3), P_line_connecting-{F}(V10,V9,V1), P_line_connecting-{F}(V10,V5,V11), distinct_lines-{F}(V11,V12), convergent_lines-{F}(V11,V13), P_intersection_point-{F}(V11,V13,V14), convergent_lines-{F}(V12,V15), P_intersection_point-{F}(V12,V15,V14), convergent_lines-{F}(V12,V16), P_intersection_point-{F}(V12,V16,V5), convergent_lines-{F}(V17,V6), P_intersection_point-{F}(V17,V6,V5), convergent_lines-{F}(V18,V19), P_intersection_point-{F}(V18,V19,V9), convergent_lines-{F}(V19,V20), P_intersection_point-{F}(V19,V20,V21), P_line_connecting-{F}(V21,V9,V22), distinct_lines-{F}(V22,V19), convergent_lines-{F}(V22,V23), P_intersection_point-{F}(V22,V23,V21), convergent_lines-{F}(V24,V25), distinct_lines-{F}(V25,V26), P_intersection_point-{F}(V24,V25,V27), P_line_connecting-{F}(V21,V27,V28), distinct_lines-{F}(V28,V29), convergent_lines-{F}(V28,V30), P_intersection_point-{F}(V28,V30,V21), convergent_lines-{F}(V29,V31), P_intersection_point-{F}(V29,V31,V21), convergent_lines-{F}(V29,V32), P_intersection_point-{F}(V29,V32,V27), convergent_lines-{F}(V26,V33), P_intersection_point-{F}(V26,V33,V27), convergent_lines-{F}(V34,V25), P_intersection_point-{F}(V34,V25,V2), convergent_lines-{F}(V26,V35), P_intersection_point-{F}(V26,V35,V2), convergent_lines-{F}(V36,V37), P_intersection_point-{F}(V36,V37,V9), convergent_lines-{F}(V37,V38), P_intersection_point-{F}(V37,V38,V39), P_line_connecting-{F}(V39,V9,V40), distinct_lines-{F}(V40,V37), convergent_lines-{F}(V40,V41), P_intersection_point-{F}(V40,V41,V39), P_line_connecting-{F}(V39,V14,V42), distinct_lines-{F}(V42,V43), convergent_lines-{F}(V42,V44), P_intersection_point-{F}(V42,V44,V39), convergent_lines-{F}(V43,V45), P_intersection_point-{F}(V43,V45,V39), convergent_lines-{F}(V43,V46), P_intersection_point-{F}(V43,V46,V14), convergent_lines-{F}(V47,V48), P_intersection_point-{F}(V47,V48,V9), convergent_lines-{F}(V48,V49), P_intersection_point-{F}(V48,V49,V50), P_line_connecting-{F}(V50,V9,V51), distinct_lines-{F}(V51,V48), convergent_lines-{F}(V51,V52), P_intersection_point-{F}(V51,V52,V50), convergent_lines-{F}(V53,V54), distinct_lines-{F}(V54,V55), P_intersection_point-{F}(V53,V54,V56), P_line_connecting-{F}(V50,V56,V57), distinct_lines-{F}(V57,V58), convergent_lines-{F}(V57,V59), P_intersection_point-{F}(V57,V59,V50), convergent_lines-{F}(V58,V60), P_intersection_point-{F}(V58,V60,V50), convergent_lines-{F}(V58,V61), P_intersection_point-{F}(V58,V61,V56), convergent_lines-{F}(V55,V62), P_intersection_point-{F}(V55,V62,V56), convergent_lines-{F}(V63,V54), P_intersection_point-{F}(V63,V54,V14), convergent_lines-{F}(V55,V64), P_intersection_point-{F}(V55,V64,V14) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #645: mergings( V3 == V5, V4 == V6; #640 ), references = 1, size of lhs = 3:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V2,V0,V3), P_intersection_point-{F}(V0,V1,V3) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #707: disj( #10, input, input ), references = 1, size of lhs = 6:
% 85.67/85.82     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), P_intersection_point-{F}(V5,V2,V3), convergent_lines-{F}(V5,V2) | apart_point_and_line-{T}(V4,V1), apart_point_and_line-{T}(V4,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #709: disj( #706, input ), references = 1, size of lhs = 9:
% 85.67/85.82     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), P_intersection_point-{F}(V5,V2,V3), convergent_lines-{F}(V5,V2), pppp0-{F}(V6,V2,V7), P_intersection_point-{F}(V6,V7,V4), P_intersection_point-{F}(V6,V2,V8) | apart_point_and_line-{T}(V4,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #722: disj( #5, #58+#9 ), references = 1, size of lhs = 10:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), distinct_points-{F}(V4,V3), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V4,V3,V6), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V5), P_intersection_point-{F}(V1,V8,V5) | convergent_lines-{T}(V0,V8)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #733: disj( #5, #65+#0 ), references = 1, size of lhs = 10:
% 85.67/85.82     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), distinct_points-{F}(V4,V3), distinct_points-{F}(V4,V5), P_line_connecting-{F}(V5,V4,V6), distinct_lines-{F}(V6,V1), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V8,V3) | convergent_lines-{T}(V7,V8)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #734: disj( #5, #58+#9 ), references = 1, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), convergent_lines-{F}(V3,V4), distinct_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V6,V2), convergent_lines-{F}(V5,V7), P_intersection_point-{F}(V5,V7,V2), P_intersection_point-{F}(V8,V5,V1), convergent_lines-{F}(V8,V5) | convergent_lines-{T}(V4,V6)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #793: disj( #10, input, input ), references = 1, size of lhs = 6:
% 85.67/85.82     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V2) | apart_point_and_line-{T}(V4,V1), apart_point_and_line-{T}(V4,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #794: disj( #10, input, input ), references = 1, size of lhs = 6:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V1,V5), P_line_connecting-{F}(V1,V5,V4) | apart_point_and_line-{T}(V2,V3), apart_point_and_line-{T}(V2,V4)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #795: disj( #10, input, input ), references = 1, size of lhs = 6:
% 85.67/85.82     distinct_points-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3), distinct_lines-{F}(V3,V4), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V4) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V1,V4)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #797: disj( #790, input ), references = 1, size of lhs = 9:
% 85.67/85.82     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), distinct_points-{F}(V3,V5), P_line_connecting-{F}(V3,V5,V2), pppp0-{F}(V6,V1,V7), P_intersection_point-{F}(V6,V7,V4), P_intersection_point-{F}(V6,V1,V8) | apart_point_and_line-{T}(V4,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #840: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 85.67/85.82     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V1), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V2), distinct_points-{F}(V6,V5) | apart_point_and_line-{T}(V5,V3)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #841: disj( #10, input, input, input ), references = 3, size of lhs = 8:
% 85.67/85.82     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), P_line_connecting-{F}(V4,V1,V3), distinct_points-{F}(V4,V1), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V2), distinct_points-{F}(V6,V5) | apart_point_and_line-{T}(V5,V3)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #844: exists( #22, #842 ), references = 2, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V1), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V6), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V7,V6,V2), distinct_points-{F}(V7,V6) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #872: disj( #4, #841+#6 ), references = 1, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V7,V6,V2), distinct_points-{F}(V7,V6), distinct_points-{F}(V6,V8), P_line_connecting-{F}(V6,V8,V5) | distinct_lines-{T}(V3,V5)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #894: disj( #4, #841+#7 ), references = 1, size of lhs = 10:
% 85.67/85.82     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V5), distinct_points-{F}(V6,V1), P_line_connecting-{F}(V7,V6,V2), distinct_points-{F}(V7,V6), P_line_connecting-{F}(V8,V6,V5), distinct_points-{F}(V8,V6) | distinct_lines-{T}(V3,V5)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #895: disj( #4, #36+#844 ), references = 1, size of lhs = 10:
% 85.67/85.82     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), distinct_points-{F}(V4,V3), P_line_connecting-{F}(V4,V3,V5), convergent_lines-{F}(V0,V6), P_intersection_point-{F}(V0,V6,V7), distinct_points-{F}(V7,V3), P_line_connecting-{F}(V8,V7,V5), distinct_points-{F}(V8,V7) | distinct_lines-{T}(V1,V5)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #943: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 85.67/85.82     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V4,V1), convergent_lines-{F}(V0,V5), P_intersection_point-{F}(V0,V5,V6), distinct_points-{F}(V6,V3) | apart_point_and_line-{T}(V6,V1)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #954: mergings( V7 == V3, V5 == V10, V3 == V8, V9 == V10; #949 ), references = 1, size of lhs = 7:
% 85.67/85.82     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V4,V1), pppp0-{F}(V0,V1,V5) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #956: exists( #23, #949 ), references = 2, size of lhs = 3:
% 85.67/85.82     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #960: disj( #5, #34+#38+#955 ), references = 1, size of lhs = 2:
% 85.67/85.82     convergent_lines-{F}(V0,V1), pppp0-{F}(V2,V0,V3) | convergent_lines-{T}(V1,V2)
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #971: mergings( V3 == V5; #968 ), references = 1, size of lhs = 2:
% 85.67/85.82     pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V2,V3) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #975: mergings( V1 == V4; #972 ), references = 1, size of lhs = 1:
% 85.67/85.82     pppp0-{F}(V0,V1,V2) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #978: exists( #16, #972 ), references = 1, size of lhs = 1:
% 85.67/85.82     pppp1-{F}(V0,V1) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #981: exists( #15, #976 ), references = 1, size of lhs = 1:
% 85.67/85.82     pppp2-{F}(V0) | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  #984: exists( #14, #979 ), references = 1, size of lhs = 0:
% 85.67/85.82     FALSE | FALSE
% 85.67/85.82        (used 0 times, uses = {})
% 85.67/85.82  
% 85.67/85.82  number of learnt formulas = 95
% 85.67/85.82  
% 85.67/85.82  
% 85.67/85.82  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.67/85.82  
% 85.67/85.82  randbase = 1
%------------------------------------------------------------------------------