TSTP Solution File: GEO172+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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  : 0s
% DateTime : Sat Jul 16 02:52:13 EDT 2022

% Result   : Theorem 1.78s 2.14s
% Output   : Refutation 1.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.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  % DateTime : Sat Jun 18 03:22:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.78/2.14  *** allocated 10000 integers for termspace/termends
% 1.78/2.14  *** allocated 10000 integers for clauses
% 1.78/2.14  *** allocated 10000 integers for justifications
% 1.78/2.14  Bliksem 1.12
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  Automatic Strategy Selection
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  Clauses:
% 1.78/2.14  
% 1.78/2.14  { ! distinct_points( X, X ) }.
% 1.78/2.14  { ! distinct_lines( X, X ) }.
% 1.78/2.14  { ! convergent_lines( X, X ) }.
% 1.78/2.14  { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.78/2.14     ) }.
% 1.78/2.14  { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.78/2.14     }.
% 1.78/2.14  { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.78/2.14    , Z ) }.
% 1.78/2.14  { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.78/2.14    , Y ) ), distinct_points( Z, X ) }.
% 1.78/2.14  { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.78/2.14    , Y ) ), distinct_points( Z, Y ) }.
% 1.78/2.14  { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ), 
% 1.78/2.14    distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.78/2.14  { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ), 
% 1.78/2.14    distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.78/2.14  { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.78/2.14    ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ), 
% 1.78/2.14    apart_point_and_line( Y, T ) }.
% 1.78/2.14  { ! apart_point_and_line( X, Y ), distinct_points( X, Z ), 
% 1.78/2.14    apart_point_and_line( Z, Y ) }.
% 1.78/2.14  { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ), 
% 1.78/2.14    apart_point_and_line( X, Z ) }.
% 1.78/2.14  { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.78/2.14  { convergent_lines( skol1, skol2 ) }.
% 1.78/2.14  { ! apart_point_and_line( skol3, skol1 ) }.
% 1.78/2.14  { ! apart_point_and_line( skol3, skol2 ) }.
% 1.78/2.14  { distinct_points( skol3, intersection_point( skol1, skol2 ) ) }.
% 1.78/2.14  
% 1.78/2.14  percentage equality = 0.000000, percentage horn = 0.666667
% 1.78/2.14  This a non-horn, non-equality problem
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  Options Used:
% 1.78/2.14  
% 1.78/2.14  useres =            1
% 1.78/2.14  useparamod =        0
% 1.78/2.14  useeqrefl =         0
% 1.78/2.14  useeqfact =         0
% 1.78/2.14  usefactor =         1
% 1.78/2.14  usesimpsplitting =  0
% 1.78/2.14  usesimpdemod =      0
% 1.78/2.14  usesimpres =        3
% 1.78/2.14  
% 1.78/2.14  resimpinuse      =  1000
% 1.78/2.14  resimpclauses =     20000
% 1.78/2.14  substype =          standard
% 1.78/2.14  backwardsubs =      1
% 1.78/2.14  selectoldest =      5
% 1.78/2.14  
% 1.78/2.14  litorderings [0] =  split
% 1.78/2.14  litorderings [1] =  liftord
% 1.78/2.14  
% 1.78/2.14  termordering =      none
% 1.78/2.14  
% 1.78/2.14  litapriori =        1
% 1.78/2.14  termapriori =       0
% 1.78/2.14  litaposteriori =    0
% 1.78/2.14  termaposteriori =   0
% 1.78/2.14  demodaposteriori =  0
% 1.78/2.14  ordereqreflfact =   0
% 1.78/2.14  
% 1.78/2.14  litselect =         none
% 1.78/2.14  
% 1.78/2.14  maxweight =         15
% 1.78/2.14  maxdepth =          30000
% 1.78/2.14  maxlength =         115
% 1.78/2.14  maxnrvars =         195
% 1.78/2.14  excuselevel =       1
% 1.78/2.14  increasemaxweight = 1
% 1.78/2.14  
% 1.78/2.14  maxselected =       10000000
% 1.78/2.14  maxnrclauses =      10000000
% 1.78/2.14  
% 1.78/2.14  showgenerated =    0
% 1.78/2.14  showkept =         0
% 1.78/2.14  showselected =     0
% 1.78/2.14  showdeleted =      0
% 1.78/2.14  showresimp =       1
% 1.78/2.14  showstatus =       2000
% 1.78/2.14  
% 1.78/2.14  prologoutput =     0
% 1.78/2.14  nrgoals =          5000000
% 1.78/2.14  totalproof =       1
% 1.78/2.14  
% 1.78/2.14  Symbols occurring in the translation:
% 1.78/2.14  
% 1.78/2.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.78/2.14  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 1.78/2.14  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 1.78/2.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.78/2.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.78/2.14  distinct_points  [36, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 1.78/2.14  distinct_lines  [37, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 1.78/2.14  convergent_lines  [38, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 1.78/2.14  line_connecting  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 1.78/2.14  apart_point_and_line  [42, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 1.78/2.14  intersection_point  [43, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 1.78/2.14  skol1  [46, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 1.78/2.14  skol2  [47, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 1.78/2.14  skol3  [48, 0]      (w:1, o:13, a:1, s:1, b:0).
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  Starting Search:
% 1.78/2.14  
% 1.78/2.14  *** allocated 15000 integers for clauses
% 1.78/2.14  *** allocated 22500 integers for clauses
% 1.78/2.14  *** allocated 33750 integers for clauses
% 1.78/2.14  *** allocated 15000 integers for termspace/termends
% 1.78/2.14  Resimplifying inuse:
% 1.78/2.14  Done
% 1.78/2.14  
% 1.78/2.14  Failed to find proof!
% 1.78/2.14  maxweight =   15
% 1.78/2.14  maxnrclauses = 10000000
% 1.78/2.14  Generated: 102241
% 1.78/2.14  Kept: 663
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  The strategy used was not complete!
% 1.78/2.14  
% 1.78/2.14  Increased maxweight to 16
% 1.78/2.14  
% 1.78/2.14  Starting Search:
% 1.78/2.14  
% 1.78/2.14  *** allocated 50625 integers for clauses
% 1.78/2.14  
% 1.78/2.14  Bliksems!, er is een bewijs:
% 1.78/2.14  % SZS status Theorem
% 1.78/2.14  % SZS output start Refutation
% 1.78/2.14  
% 1.78/2.14  (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.78/2.14  (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.78/2.14  (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.78/2.14  (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.78/2.14     ), ! distinct_points( X, Y ) }.
% 1.78/2.14  (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.78/2.14    , ! distinct_lines( X, Y ) }.
% 1.78/2.14  (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y, 
% 1.78/2.14    Z ), ! convergent_lines( X, Y ) }.
% 1.78/2.14  (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 1.78/2.14    , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 1.78/2.14  (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 1.78/2.14    , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 1.78/2.14  (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines( 
% 1.78/2.14    Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ), 
% 1.78/2.14    apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.78/2.14  (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.78/2.14    ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.14  (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 1.78/2.14    , Y ) }.
% 1.78/2.14  (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 1.78/2.14  (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol1 ) }.
% 1.78/2.14  (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol2 ) }.
% 1.78/2.14  (17) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol3, intersection_point( 
% 1.78/2.14    skol1, skol2 ) ) }.
% 1.78/2.14  (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ), 
% 1.78/2.14    distinct_points( X, Y ) }.
% 1.78/2.14  (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.78/2.14    ( X, Y ) }.
% 1.78/2.14  (30) {G2,W6,D2,L2,V2,M1} R(13,27) { ! convergent_lines( X, Y ), 
% 1.78/2.14    distinct_lines( Y, X ) }.
% 1.78/2.14  (37) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ), 
% 1.78/2.14    convergent_lines( X, Y ) }.
% 1.78/2.14  (40) {G2,W3,D2,L1,V0,M1} R(37,14) { convergent_lines( skol2, skol1 ) }.
% 1.78/2.14  (110) {G1,W15,D2,L5,V2,M3} R(10,15) { ! distinct_points( skol3, X ), ! 
% 1.78/2.14    distinct_lines( skol1, Y ), apart_point_and_line( X, skol1 ), 
% 1.78/2.14    apart_point_and_line( X, Y ), apart_point_and_line( skol3, Y ) }.
% 1.78/2.14  (136) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), ! 
% 1.78/2.14    convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 1.78/2.14     ), ! apart_point_and_line( X, Z ) }.
% 1.78/2.14  (137) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), ! 
% 1.78/2.14    convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 1.78/2.14     ), ! apart_point_and_line( X, Z ) }.
% 1.78/2.14  (141) {G1,W6,D2,L2,V1,M1} R(11,16) { distinct_points( X, skol3 ), ! 
% 1.78/2.14    apart_point_and_line( X, skol2 ) }.
% 1.78/2.14  (144) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.78/2.14  (145) {G2,W8,D3,L2,V2,M1} F(136);r(0) { ! convergent_lines( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.78/2.14  (147) {G2,W9,D2,L3,V2,M1} R(141,11) { distinct_points( X, skol3 ), 
% 1.78/2.14    distinct_points( Y, X ), ! apart_point_and_line( Y, skol2 ) }.
% 1.78/2.14  (181) {G3,W12,D2,L4,V3,M1} R(147,11) { distinct_points( X, skol3 ), 
% 1.78/2.14    distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 1.78/2.14    ( Z, skol2 ) }.
% 1.78/2.14  (183) {G4,W6,D2,L2,V1,M1} F(181);r(20) { distinct_points( skol3, X ), ! 
% 1.78/2.14    apart_point_and_line( X, skol2 ) }.
% 1.78/2.14  (638) {G5,W12,D2,L4,V1,M1} R(110,183);r(0) { ! distinct_points( skol3, X )
% 1.78/2.14    , ! distinct_lines( skol1, skol2 ), apart_point_and_line( X, skol1 ), 
% 1.78/2.14    apart_point_and_line( X, skol2 ) }.
% 1.78/2.14  (644) {G6,W16,D3,L4,V1,M1} R(638,145) { ! distinct_points( skol3, 
% 1.78/2.14    intersection_point( X, skol2 ) ), ! distinct_lines( skol1, skol2 ), ! 
% 1.78/2.14    convergent_lines( X, skol2 ), apart_point_and_line( intersection_point( X
% 1.78/2.14    , skol2 ), skol1 ) }.
% 1.78/2.14  (810) {G7,W6,D2,L2,V0,M1} R(644,144);f;r(17) { ! convergent_lines( skol1, 
% 1.78/2.14    skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 1.78/2.14  (811) {G8,W3,D2,L1,V0,M1} S(810);r(14) { ! distinct_lines( skol1, skol2 )
% 1.78/2.14     }.
% 1.78/2.14  (1002) {G9,W0,D0,L0,V0,M0} R(811,30);r(40) {  }.
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  % SZS output end Refutation
% 1.78/2.14  found a proof!
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  Unprocessed initial clauses:
% 1.78/2.14  
% 1.78/2.14  (1004) {G0,W3,D2,L1,V1,M1}  { ! distinct_points( X, X ) }.
% 1.78/2.14  (1005) {G0,W3,D2,L1,V1,M1}  { ! distinct_lines( X, X ) }.
% 1.78/2.14  (1006) {G0,W3,D2,L1,V1,M1}  { ! convergent_lines( X, X ) }.
% 1.78/2.14  (1007) {G0,W9,D2,L3,V3,M3}  { ! distinct_points( X, Y ), distinct_points( X
% 1.78/2.14    , Z ), distinct_points( Y, Z ) }.
% 1.78/2.14  (1008) {G0,W9,D2,L3,V3,M3}  { ! distinct_lines( X, Y ), distinct_lines( X, 
% 1.78/2.14    Z ), distinct_lines( Y, Z ) }.
% 1.78/2.14  (1009) {G0,W9,D2,L3,V3,M3}  { ! convergent_lines( X, Y ), convergent_lines
% 1.78/2.14    ( X, Z ), convergent_lines( Y, Z ) }.
% 1.78/2.14  (1010) {G0,W11,D3,L3,V3,M3}  { ! distinct_points( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.78/2.14     ) }.
% 1.78/2.14  (1011) {G0,W11,D3,L3,V3,M3}  { ! distinct_points( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.78/2.14     ) }.
% 1.78/2.14  (1012) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X, 
% 1.78/2.14    Y ) ) }.
% 1.78/2.14  (1013) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X, 
% 1.78/2.14    Y ) ) }.
% 1.78/2.14  (1014) {G0,W18,D2,L6,V4,M6}  { ! distinct_points( X, Y ), ! distinct_lines
% 1.78/2.14    ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ), 
% 1.78/2.14    apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.78/2.14  (1015) {G0,W9,D2,L3,V3,M3}  { ! apart_point_and_line( X, Y ), 
% 1.78/2.14    distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.78/2.14  (1016) {G0,W9,D2,L3,V3,M3}  { ! apart_point_and_line( X, Y ), 
% 1.78/2.14    distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.78/2.14  (1017) {G0,W6,D2,L2,V2,M2}  { ! convergent_lines( X, Y ), distinct_lines( X
% 1.78/2.14    , Y ) }.
% 1.78/2.14  (1018) {G0,W3,D2,L1,V0,M1}  { convergent_lines( skol1, skol2 ) }.
% 1.78/2.14  (1019) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol3, skol1 ) }.
% 1.78/2.14  (1020) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol3, skol2 ) }.
% 1.78/2.14  (1021) {G0,W5,D3,L1,V0,M1}  { distinct_points( skol3, intersection_point( 
% 1.78/2.14    skol1, skol2 ) ) }.
% 1.78/2.14  
% 1.78/2.14  
% 1.78/2.14  Total Proof:
% 1.78/2.14  
% 1.78/2.14  subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.78/2.14  parent0: (1004) {G0,W3,D2,L1,V1,M1}  { ! distinct_points( X, X ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 0
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.78/2.14  parent0: (1005) {G0,W3,D2,L1,V1,M1}  { ! distinct_lines( X, X ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 0
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.78/2.14  parent0: (1006) {G0,W3,D2,L1,V1,M1}  { ! convergent_lines( X, X ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 0
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), 
% 1.78/2.14    distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.78/2.14  parent0: (1007) {G0,W9,D2,L3,V3,M3}  { ! distinct_points( X, Y ), 
% 1.78/2.14    distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14     Y := Y
% 1.78/2.14     Z := Z
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 2
% 1.78/2.14     1 ==> 0
% 1.78/2.14     2 ==> 1
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), 
% 1.78/2.14    distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.78/2.14  parent0: (1008) {G0,W9,D2,L3,V3,M3}  { ! distinct_lines( X, Y ), 
% 1.78/2.14    distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14     Y := Y
% 1.78/2.14     Z := Z
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 2
% 1.78/2.14     1 ==> 0
% 1.78/2.14     2 ==> 1
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), 
% 1.78/2.14    convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.78/2.14  parent0: (1009) {G0,W9,D2,L3,V3,M3}  { ! convergent_lines( X, Y ), 
% 1.78/2.14    convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14     Y := Y
% 1.78/2.14     Z := Z
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 2
% 1.78/2.14     1 ==> 0
% 1.78/2.14     2 ==> 1
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.78/2.14    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.78/2.14    ( Z, X ) }.
% 1.78/2.14  parent0: (1012) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X, 
% 1.78/2.14    Y ) ) }.
% 1.78/2.14  substitution0:
% 1.78/2.14     X := X
% 1.78/2.14     Y := Y
% 1.78/2.14     Z := Z
% 1.78/2.14  end
% 1.78/2.14  permutation0:
% 1.78/2.14     0 ==> 0
% 1.78/2.14     1 ==> 2
% 1.78/2.14     2 ==> 1
% 1.78/2.14  end
% 1.78/2.14  
% 1.78/2.14  subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.78/2.14    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.78/2.14    ( Z, Y ) }.
% 1.78/2.14  parent0: (1013) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.14    apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X, 
% 1.78/2.15    Y ) ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 2
% 1.78/2.15     2 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! 
% 1.78/2.15    distinct_lines( Z, T ), apart_point_and_line( X, T ), 
% 1.78/2.15    apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ), 
% 1.78/2.15    apart_point_and_line( X, Z ) }.
% 1.78/2.15  parent0: (1014) {G0,W18,D2,L6,V4,M6}  { ! distinct_points( X, Y ), ! 
% 1.78/2.15    distinct_lines( Z, T ), apart_point_and_line( X, Z ), 
% 1.78/2.15    apart_point_and_line( X, T ), apart_point_and_line( Y, Z ), 
% 1.78/2.15    apart_point_and_line( Y, T ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15     T := T
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15     2 ==> 5
% 1.78/2.15     3 ==> 2
% 1.78/2.15     4 ==> 3
% 1.78/2.15     5 ==> 4
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.78/2.15    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.15  parent0: (1015) {G0,W9,D2,L3,V3,M3}  { ! apart_point_and_line( X, Y ), 
% 1.78/2.15    distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 2
% 1.78/2.15     1 ==> 0
% 1.78/2.15     2 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  *** allocated 22500 integers for termspace/termends
% 1.78/2.15  subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  parent0: (1017) {G0,W6,D2,L2,V2,M2}  { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 1.78/2.15     }.
% 1.78/2.15  parent0: (1018) {G0,W3,D2,L1,V0,M1}  { convergent_lines( skol1, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, 
% 1.78/2.15    skol1 ) }.
% 1.78/2.15  parent0: (1019) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol3, skol1
% 1.78/2.15     ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, 
% 1.78/2.15    skol2 ) }.
% 1.78/2.15  parent0: (1020) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol3, skol2
% 1.78/2.15     ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (17) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol3, 
% 1.78/2.15    intersection_point( skol1, skol2 ) ) }.
% 1.78/2.15  parent0: (1021) {G0,W5,D3,L1,V0,M1}  { distinct_points( skol3, 
% 1.78/2.15    intersection_point( skol1, skol2 ) ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1097) {G1,W6,D2,L2,V2,M2}  { distinct_points( Y, X ), ! 
% 1.78/2.15    distinct_points( X, Y ) }.
% 1.78/2.15  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.78/2.15  parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), 
% 1.78/2.15    distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ), 
% 1.78/2.15    distinct_points( X, Y ) }.
% 1.78/2.15  parent0: (1097) {G1,W6,D2,L2,V2,M2}  { distinct_points( Y, X ), ! 
% 1.78/2.15    distinct_points( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := Y
% 1.78/2.15     Y := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 1
% 1.78/2.15     1 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1099) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.78/2.15  parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), 
% 1.78/2.15    distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  parent0: (1099) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := Y
% 1.78/2.15     Y := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 1
% 1.78/2.15     1 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1101) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.78/2.15    convergent_lines( X, Y ) }.
% 1.78/2.15  parent0[0]: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := Y
% 1.78/2.15     Y := X
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (30) {G2,W6,D2,L2,V2,M1} R(13,27) { ! convergent_lines( X, Y )
% 1.78/2.15    , distinct_lines( Y, X ) }.
% 1.78/2.15  parent0: (1101) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.78/2.15    convergent_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 1
% 1.78/2.15     1 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1102) {G1,W6,D2,L2,V2,M2}  { convergent_lines( Y, X ), ! 
% 1.78/2.15    convergent_lines( X, Y ) }.
% 1.78/2.15  parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.78/2.15  parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), 
% 1.78/2.15    convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (37) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ), 
% 1.78/2.15    convergent_lines( X, Y ) }.
% 1.78/2.15  parent0: (1102) {G1,W6,D2,L2,V2,M2}  { convergent_lines( Y, X ), ! 
% 1.78/2.15    convergent_lines( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := Y
% 1.78/2.15     Y := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 1
% 1.78/2.15     1 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1104) {G1,W3,D2,L1,V0,M1}  { convergent_lines( skol2, skol1 )
% 1.78/2.15     }.
% 1.78/2.15  parent0[0]: (37) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ), 
% 1.78/2.15    convergent_lines( X, Y ) }.
% 1.78/2.15  parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 1.78/2.15     }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := skol2
% 1.78/2.15     Y := skol1
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (40) {G2,W3,D2,L1,V0,M1} R(37,14) { convergent_lines( skol2, 
% 1.78/2.15    skol1 ) }.
% 1.78/2.15  parent0: (1104) {G1,W3,D2,L1,V0,M1}  { convergent_lines( skol2, skol1 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1108) {G1,W15,D2,L5,V2,M5}  { ! distinct_points( skol3, X ), !
% 1.78/2.15     distinct_lines( skol1, Y ), apart_point_and_line( skol3, Y ), 
% 1.78/2.15    apart_point_and_line( X, skol1 ), apart_point_and_line( X, Y ) }.
% 1.78/2.15  parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, 
% 1.78/2.15    skol1 ) }.
% 1.78/2.15  parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! 
% 1.78/2.15    distinct_lines( Z, T ), apart_point_and_line( X, T ), 
% 1.78/2.15    apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ), 
% 1.78/2.15    apart_point_and_line( X, Z ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := skol3
% 1.78/2.15     Y := X
% 1.78/2.15     Z := skol1
% 1.78/2.15     T := Y
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (110) {G1,W15,D2,L5,V2,M3} R(10,15) { ! distinct_points( skol3
% 1.78/2.15    , X ), ! distinct_lines( skol1, Y ), apart_point_and_line( X, skol1 ), 
% 1.78/2.15    apart_point_and_line( X, Y ), apart_point_and_line( skol3, Y ) }.
% 1.78/2.15  parent0: (1108) {G1,W15,D2,L5,V2,M5}  { ! distinct_points( skol3, X ), ! 
% 1.78/2.15    distinct_lines( skol1, Y ), apart_point_and_line( skol3, Y ), 
% 1.78/2.15    apart_point_and_line( X, skol1 ), apart_point_and_line( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15     2 ==> 4
% 1.78/2.15     3 ==> 2
% 1.78/2.15     4 ==> 3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1114) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.78/2.15    , ! apart_point_and_line( T, Y ) }.
% 1.78/2.15  parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.78/2.15    ( Z, Y ) }.
% 1.78/2.15  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.78/2.15    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := T
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (136) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), 
% 1.78/2.15    ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 1.78/2.15     ) ), ! apart_point_and_line( X, Z ) }.
% 1.78/2.15  parent0: (1114) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.78/2.15    , ! apart_point_and_line( T, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := T
% 1.78/2.15     Y := Z
% 1.78/2.15     Z := Y
% 1.78/2.15     T := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 1
% 1.78/2.15     1 ==> 2
% 1.78/2.15     2 ==> 0
% 1.78/2.15     3 ==> 3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1116) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.78/2.15    , ! apart_point_and_line( T, X ) }.
% 1.78/2.15  parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.78/2.15    ( Z, X ) }.
% 1.78/2.15  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.78/2.15    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := T
% 1.78/2.15     Y := X
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (137) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), 
% 1.78/2.15    ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 1.78/2.15     ) ), ! apart_point_and_line( X, Z ) }.
% 1.78/2.15  parent0: (1116) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.78/2.15    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.78/2.15    , ! apart_point_and_line( T, X ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := Z
% 1.78/2.15     Y := T
% 1.78/2.15     Z := Y
% 1.78/2.15     T := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 1
% 1.78/2.15     1 ==> 2
% 1.78/2.15     2 ==> 0
% 1.78/2.15     3 ==> 3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1118) {G1,W6,D2,L2,V1,M2}  { distinct_points( X, skol3 ), ! 
% 1.78/2.15    apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0[0]: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, 
% 1.78/2.15    skol2 ) }.
% 1.78/2.15  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.78/2.15    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := skol2
% 1.78/2.15     Z := skol3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (141) {G1,W6,D2,L2,V1,M1} R(11,16) { distinct_points( X, skol3
% 1.78/2.15     ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0: (1118) {G1,W6,D2,L2,V1,M2}  { distinct_points( X, skol3 ), ! 
% 1.78/2.15    apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  factor: (1119) {G1,W15,D3,L3,V2,M3}  { distinct_points( intersection_point
% 1.78/2.15    ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), ! 
% 1.78/2.15    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.78/2.15  parent0[0, 2]: (137) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 1.78/2.15    , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, 
% 1.78/2.15    T ) ), ! apart_point_and_line( X, Z ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := intersection_point( X, Y )
% 1.78/2.15     Y := intersection_point( X, Y )
% 1.78/2.15     Z := X
% 1.78/2.15     T := Y
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1120) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.15    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.78/2.15  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.78/2.15  parent1[0]: (1119) {G1,W15,D3,L3,V2,M3}  { distinct_points( 
% 1.78/2.15    intersection_point( X, Y ), intersection_point( X, Y ) ), ! 
% 1.78/2.15    convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X, 
% 1.78/2.15    Y ), X ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := intersection_point( X, Y )
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (144) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X
% 1.78/2.15    , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.78/2.15  parent0: (1120) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.15    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  factor: (1121) {G1,W15,D3,L3,V2,M3}  { distinct_points( intersection_point
% 1.78/2.15    ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), ! 
% 1.78/2.15    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.78/2.15  parent0[0, 2]: (136) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 1.78/2.15    , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, 
% 1.78/2.15    Z ) ), ! apart_point_and_line( X, Z ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := intersection_point( X, Y )
% 1.78/2.15     Y := intersection_point( X, Y )
% 1.78/2.15     Z := Y
% 1.78/2.15     T := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1122) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.15    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.78/2.15  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.78/2.15  parent1[0]: (1121) {G1,W15,D3,L3,V2,M3}  { distinct_points( 
% 1.78/2.15    intersection_point( X, Y ), intersection_point( X, Y ) ), ! 
% 1.78/2.15    convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X, 
% 1.78/2.15    Y ), Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := intersection_point( X, Y )
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (145) {G2,W8,D3,L2,V2,M1} F(136);r(0) { ! convergent_lines( X
% 1.78/2.15    , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.78/2.15  parent0: (1122) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.78/2.15    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1123) {G1,W9,D2,L3,V2,M3}  { distinct_points( X, skol3 ), 
% 1.78/2.15    distinct_points( Y, X ), ! apart_point_and_line( Y, skol2 ) }.
% 1.78/2.15  parent0[1]: (141) {G1,W6,D2,L2,V1,M1} R(11,16) { distinct_points( X, skol3
% 1.78/2.15     ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.78/2.15    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := Y
% 1.78/2.15     Y := skol2
% 1.78/2.15     Z := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (147) {G2,W9,D2,L3,V2,M1} R(141,11) { distinct_points( X, 
% 1.78/2.15    skol3 ), distinct_points( Y, X ), ! apart_point_and_line( Y, skol2 ) }.
% 1.78/2.15  parent0: (1123) {G1,W9,D2,L3,V2,M3}  { distinct_points( X, skol3 ), 
% 1.78/2.15    distinct_points( Y, X ), ! apart_point_and_line( Y, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15     2 ==> 2
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1125) {G1,W12,D2,L4,V3,M4}  { distinct_points( X, skol3 ), 
% 1.78/2.15    distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 1.78/2.15    ( Z, skol2 ) }.
% 1.78/2.15  parent0[2]: (147) {G2,W9,D2,L3,V2,M1} R(141,11) { distinct_points( X, skol3
% 1.78/2.15     ), distinct_points( Y, X ), ! apart_point_and_line( Y, skol2 ) }.
% 1.78/2.15  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.78/2.15    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := Z
% 1.78/2.15     Y := skol2
% 1.78/2.15     Z := Y
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (181) {G3,W12,D2,L4,V3,M1} R(147,11) { distinct_points( X, 
% 1.78/2.15    skol3 ), distinct_points( Y, X ), distinct_points( Z, Y ), ! 
% 1.78/2.15    apart_point_and_line( Z, skol2 ) }.
% 1.78/2.15  parent0: (1125) {G1,W12,D2,L4,V3,M4}  { distinct_points( X, skol3 ), 
% 1.78/2.15    distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 1.78/2.15    ( Z, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := Y
% 1.78/2.15     Z := Z
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15     2 ==> 2
% 1.78/2.15     3 ==> 3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  factor: (1131) {G3,W9,D2,L3,V1,M3}  { distinct_points( X, skol3 ), 
% 1.78/2.15    distinct_points( skol3, X ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0[0, 2]: (181) {G3,W12,D2,L4,V3,M1} R(147,11) { distinct_points( X, 
% 1.78/2.15    skol3 ), distinct_points( Y, X ), distinct_points( Z, Y ), ! 
% 1.78/2.15    apart_point_and_line( Z, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := skol3
% 1.78/2.15     Z := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1137) {G2,W9,D2,L3,V1,M3}  { distinct_points( skol3, X ), 
% 1.78/2.15    distinct_points( skol3, X ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0[0]: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ), 
% 1.78/2.15    distinct_points( X, Y ) }.
% 1.78/2.15  parent1[0]: (1131) {G3,W9,D2,L3,V1,M3}  { distinct_points( X, skol3 ), 
% 1.78/2.15    distinct_points( skol3, X ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := skol3
% 1.78/2.15     Y := X
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  factor: (1139) {G2,W6,D2,L2,V1,M2}  { distinct_points( skol3, X ), ! 
% 1.78/2.15    apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0[0, 1]: (1137) {G2,W9,D2,L3,V1,M3}  { distinct_points( skol3, X ), 
% 1.78/2.15    distinct_points( skol3, X ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (183) {G4,W6,D2,L2,V1,M1} F(181);r(20) { distinct_points( 
% 1.78/2.15    skol3, X ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0: (1139) {G2,W6,D2,L2,V1,M2}  { distinct_points( skol3, X ), ! 
% 1.78/2.15    apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1146) {G2,W15,D2,L5,V1,M5}  { distinct_points( skol3, skol3 )
% 1.78/2.15    , ! distinct_points( skol3, X ), ! distinct_lines( skol1, skol2 ), 
% 1.78/2.15    apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0[1]: (183) {G4,W6,D2,L2,V1,M1} F(181);r(20) { distinct_points( skol3
% 1.78/2.15    , X ), ! apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent1[4]: (110) {G1,W15,D2,L5,V2,M3} R(10,15) { ! distinct_points( skol3
% 1.78/2.15    , X ), ! distinct_lines( skol1, Y ), apart_point_and_line( X, skol1 ), 
% 1.78/2.15    apart_point_and_line( X, Y ), apart_point_and_line( skol3, Y ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := skol3
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15     Y := skol2
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1147) {G1,W12,D2,L4,V1,M4}  { ! distinct_points( skol3, X ), !
% 1.78/2.15     distinct_lines( skol1, skol2 ), apart_point_and_line( X, skol1 ), 
% 1.78/2.15    apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.78/2.15  parent1[0]: (1146) {G2,W15,D2,L5,V1,M5}  { distinct_points( skol3, skol3 )
% 1.78/2.15    , ! distinct_points( skol3, X ), ! distinct_lines( skol1, skol2 ), 
% 1.78/2.15    apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := skol3
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (638) {G5,W12,D2,L4,V1,M1} R(110,183);r(0) { ! distinct_points
% 1.78/2.15    ( skol3, X ), ! distinct_lines( skol1, skol2 ), apart_point_and_line( X, 
% 1.78/2.15    skol1 ), apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  parent0: (1147) {G1,W12,D2,L4,V1,M4}  { ! distinct_points( skol3, X ), ! 
% 1.78/2.15    distinct_lines( skol1, skol2 ), apart_point_and_line( X, skol1 ), 
% 1.78/2.15    apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15     2 ==> 2
% 1.78/2.15     3 ==> 3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1149) {G3,W16,D3,L4,V1,M4}  { ! convergent_lines( X, skol2 ), 
% 1.78/2.15    ! distinct_points( skol3, intersection_point( X, skol2 ) ), ! 
% 1.78/2.15    distinct_lines( skol1, skol2 ), apart_point_and_line( intersection_point
% 1.78/2.15    ( X, skol2 ), skol1 ) }.
% 1.78/2.15  parent0[1]: (145) {G2,W8,D3,L2,V2,M1} F(136);r(0) { ! convergent_lines( X, 
% 1.78/2.15    Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.78/2.15  parent1[3]: (638) {G5,W12,D2,L4,V1,M1} R(110,183);r(0) { ! distinct_points
% 1.78/2.15    ( skol3, X ), ! distinct_lines( skol1, skol2 ), apart_point_and_line( X, 
% 1.78/2.15    skol1 ), apart_point_and_line( X, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15     Y := skol2
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := intersection_point( X, skol2 )
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (644) {G6,W16,D3,L4,V1,M1} R(638,145) { ! distinct_points( 
% 1.78/2.15    skol3, intersection_point( X, skol2 ) ), ! distinct_lines( skol1, skol2 )
% 1.78/2.15    , ! convergent_lines( X, skol2 ), apart_point_and_line( 
% 1.78/2.15    intersection_point( X, skol2 ), skol1 ) }.
% 1.78/2.15  parent0: (1149) {G3,W16,D3,L4,V1,M4}  { ! convergent_lines( X, skol2 ), ! 
% 1.78/2.15    distinct_points( skol3, intersection_point( X, skol2 ) ), ! 
% 1.78/2.15    distinct_lines( skol1, skol2 ), apart_point_and_line( intersection_point
% 1.78/2.15    ( X, skol2 ), skol1 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := X
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 2
% 1.78/2.15     1 ==> 0
% 1.78/2.15     2 ==> 1
% 1.78/2.15     3 ==> 3
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1150) {G3,W14,D3,L4,V0,M4}  { ! convergent_lines( skol1, skol2
% 1.78/2.15     ), ! distinct_points( skol3, intersection_point( skol1, skol2 ) ), ! 
% 1.78/2.15    distinct_lines( skol1, skol2 ), ! convergent_lines( skol1, skol2 ) }.
% 1.78/2.15  parent0[1]: (144) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X, 
% 1.78/2.15    Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.78/2.15  parent1[3]: (644) {G6,W16,D3,L4,V1,M1} R(638,145) { ! distinct_points( 
% 1.78/2.15    skol3, intersection_point( X, skol2 ) ), ! distinct_lines( skol1, skol2 )
% 1.78/2.15    , ! convergent_lines( X, skol2 ), apart_point_and_line( 
% 1.78/2.15    intersection_point( X, skol2 ), skol1 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15     X := skol1
% 1.78/2.15     Y := skol2
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := skol1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1152) {G1,W9,D2,L3,V0,M3}  { ! convergent_lines( skol1, skol2
% 1.78/2.15     ), ! distinct_lines( skol1, skol2 ), ! convergent_lines( skol1, skol2 )
% 1.78/2.15     }.
% 1.78/2.15  parent0[1]: (1150) {G3,W14,D3,L4,V0,M4}  { ! convergent_lines( skol1, skol2
% 1.78/2.15     ), ! distinct_points( skol3, intersection_point( skol1, skol2 ) ), ! 
% 1.78/2.15    distinct_lines( skol1, skol2 ), ! convergent_lines( skol1, skol2 ) }.
% 1.78/2.15  parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol3, 
% 1.78/2.15    intersection_point( skol1, skol2 ) ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  factor: (1153) {G1,W6,D2,L2,V0,M2}  { ! convergent_lines( skol1, skol2 ), !
% 1.78/2.15     distinct_lines( skol1, skol2 ) }.
% 1.78/2.15  parent0[0, 2]: (1152) {G1,W9,D2,L3,V0,M3}  { ! convergent_lines( skol1, 
% 1.78/2.15    skol2 ), ! distinct_lines( skol1, skol2 ), ! convergent_lines( skol1, 
% 1.78/2.15    skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (810) {G7,W6,D2,L2,V0,M1} R(644,144);f;r(17) { ! 
% 1.78/2.15    convergent_lines( skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 1.78/2.15  parent0: (1153) {G1,W6,D2,L2,V0,M2}  { ! convergent_lines( skol1, skol2 ), 
% 1.78/2.15    ! distinct_lines( skol1, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15     1 ==> 1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1154) {G1,W3,D2,L1,V0,M1}  { ! distinct_lines( skol1, skol2 )
% 1.78/2.15     }.
% 1.78/2.15  parent0[0]: (810) {G7,W6,D2,L2,V0,M1} R(644,144);f;r(17) { ! 
% 1.78/2.15    convergent_lines( skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 1.78/2.15  parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 1.78/2.15     }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (811) {G8,W3,D2,L1,V0,M1} S(810);r(14) { ! distinct_lines( 
% 1.78/2.15    skol1, skol2 ) }.
% 1.78/2.15  parent0: (1154) {G1,W3,D2,L1,V0,M1}  { ! distinct_lines( skol1, skol2 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15     0 ==> 0
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1155) {G3,W3,D2,L1,V0,M1}  { ! convergent_lines( skol2, skol1
% 1.78/2.15     ) }.
% 1.78/2.15  parent0[0]: (811) {G8,W3,D2,L1,V0,M1} S(810);r(14) { ! distinct_lines( 
% 1.78/2.15    skol1, skol2 ) }.
% 1.78/2.15  parent1[1]: (30) {G2,W6,D2,L2,V2,M1} R(13,27) { ! convergent_lines( X, Y )
% 1.78/2.15    , distinct_lines( Y, X ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15     X := skol2
% 1.78/2.15     Y := skol1
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  resolution: (1156) {G3,W0,D0,L0,V0,M0}  {  }.
% 1.78/2.15  parent0[0]: (1155) {G3,W3,D2,L1,V0,M1}  { ! convergent_lines( skol2, skol1
% 1.78/2.15     ) }.
% 1.78/2.15  parent1[0]: (40) {G2,W3,D2,L1,V0,M1} R(37,14) { convergent_lines( skol2, 
% 1.78/2.15    skol1 ) }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  substitution1:
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  subsumption: (1002) {G9,W0,D0,L0,V0,M0} R(811,30);r(40) {  }.
% 1.78/2.15  parent0: (1156) {G3,W0,D0,L0,V0,M0}  {  }.
% 1.78/2.15  substitution0:
% 1.78/2.15  end
% 1.78/2.15  permutation0:
% 1.78/2.15  end
% 1.78/2.15  
% 1.78/2.15  Proof check complete!
% 1.78/2.15  
% 1.78/2.15  Memory use:
% 1.78/2.15  
% 1.78/2.15  space for terms:        14443
% 1.78/2.15  space for clauses:      35514
% 1.78/2.15  
% 1.78/2.15  
% 1.78/2.15  clauses generated:      103891
% 1.78/2.15  clauses kept:           1003
% 1.78/2.15  clauses selected:       663
% 1.78/2.15  clauses deleted:        10
% 1.78/2.15  clauses inuse deleted:  0
% 1.78/2.15  
% 1.78/2.15  subsentry:          97911
% 1.78/2.15  literals s-matched: 76532
% 1.78/2.15  literals matched:   76497
% 1.78/2.15  full subsumption:   59330
% 1.78/2.15  
% 1.78/2.15  checksum:           9477519
% 1.78/2.15  
% 1.78/2.15  
% 1.78/2.15  Bliksem ended
%------------------------------------------------------------------------------