TSTP Solution File: GEO175+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 02:52:16 EDT 2022

% Result   : Theorem 1.96s 2.31s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Sat Jun 18 12:58:24 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.96/2.31  *** allocated 10000 integers for termspace/termends
% 1.96/2.31  *** allocated 10000 integers for clauses
% 1.96/2.31  *** allocated 10000 integers for justifications
% 1.96/2.31  Bliksem 1.12
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Automatic Strategy Selection
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Clauses:
% 1.96/2.31  
% 1.96/2.31  { ! distinct_points( X, X ) }.
% 1.96/2.31  { ! distinct_lines( X, X ) }.
% 1.96/2.31  { ! convergent_lines( X, X ) }.
% 1.96/2.31  { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.96/2.31     ) }.
% 1.96/2.31  { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.96/2.31     }.
% 1.96/2.31  { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.96/2.31    , Z ) }.
% 1.96/2.31  { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.96/2.31    , Y ) ), distinct_points( Z, X ) }.
% 1.96/2.31  { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.96/2.31    , Y ) ), distinct_points( Z, Y ) }.
% 1.96/2.31  { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.96/2.31  { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.96/2.31  { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.96/2.31    ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ), 
% 1.96/2.31    apart_point_and_line( Y, T ) }.
% 1.96/2.31  { ! apart_point_and_line( X, Y ), distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ) }.
% 1.96/2.31  { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ), 
% 1.96/2.31    apart_point_and_line( X, Z ) }.
% 1.96/2.31  { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.96/2.31  { distinct_points( skol1, skol4 ) }.
% 1.96/2.31  { convergent_lines( skol2, skol3 ) }.
% 1.96/2.31  { distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 1.96/2.31  { ! apart_point_and_line( skol1, skol2 ) }.
% 1.96/2.31  { ! apart_point_and_line( skol1, skol3 ) }.
% 1.96/2.31  
% 1.96/2.31  percentage equality = 0.000000, percentage horn = 0.684211
% 1.96/2.31  This a non-horn, non-equality problem
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Options Used:
% 1.96/2.31  
% 1.96/2.31  useres =            1
% 1.96/2.31  useparamod =        0
% 1.96/2.31  useeqrefl =         0
% 1.96/2.31  useeqfact =         0
% 1.96/2.31  usefactor =         1
% 1.96/2.31  usesimpsplitting =  0
% 1.96/2.31  usesimpdemod =      0
% 1.96/2.31  usesimpres =        3
% 1.96/2.31  
% 1.96/2.31  resimpinuse      =  1000
% 1.96/2.31  resimpclauses =     20000
% 1.96/2.31  substype =          standard
% 1.96/2.31  backwardsubs =      1
% 1.96/2.31  selectoldest =      5
% 1.96/2.31  
% 1.96/2.31  litorderings [0] =  split
% 1.96/2.31  litorderings [1] =  liftord
% 1.96/2.31  
% 1.96/2.31  termordering =      none
% 1.96/2.31  
% 1.96/2.31  litapriori =        1
% 1.96/2.31  termapriori =       0
% 1.96/2.31  litaposteriori =    0
% 1.96/2.31  termaposteriori =   0
% 1.96/2.31  demodaposteriori =  0
% 1.96/2.31  ordereqreflfact =   0
% 1.96/2.31  
% 1.96/2.31  litselect =         none
% 1.96/2.31  
% 1.96/2.31  maxweight =         15
% 1.96/2.31  maxdepth =          30000
% 1.96/2.31  maxlength =         115
% 1.96/2.31  maxnrvars =         195
% 1.96/2.31  excuselevel =       1
% 1.96/2.31  increasemaxweight = 1
% 1.96/2.31  
% 1.96/2.31  maxselected =       10000000
% 1.96/2.31  maxnrclauses =      10000000
% 1.96/2.31  
% 1.96/2.31  showgenerated =    0
% 1.96/2.31  showkept =         0
% 1.96/2.31  showselected =     0
% 1.96/2.31  showdeleted =      0
% 1.96/2.31  showresimp =       1
% 1.96/2.31  showstatus =       2000
% 1.96/2.31  
% 1.96/2.31  prologoutput =     0
% 1.96/2.31  nrgoals =          5000000
% 1.96/2.31  totalproof =       1
% 1.96/2.31  
% 1.96/2.31  Symbols occurring in the translation:
% 1.96/2.31  
% 1.96/2.31  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.96/2.31  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 1.96/2.31  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 1.96/2.31  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.96/2.31  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.96/2.31  distinct_points  [36, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 1.96/2.31  distinct_lines  [37, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 1.96/2.31  convergent_lines  [38, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 1.96/2.31  line_connecting  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 1.96/2.31  apart_point_and_line  [42, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 1.96/2.31  intersection_point  [43, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 1.96/2.31  skol1  [46, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 1.96/2.31  skol2  [47, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 1.96/2.31  skol3  [48, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 1.96/2.31  skol4  [49, 0]      (w:1, o:14, a:1, s:1, b:0).
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Starting Search:
% 1.96/2.31  
% 1.96/2.31  *** allocated 15000 integers for clauses
% 1.96/2.31  *** allocated 22500 integers for clauses
% 1.96/2.31  *** allocated 33750 integers for clauses
% 1.96/2.31  *** allocated 15000 integers for termspace/termends
% 1.96/2.31  Resimplifying inuse:
% 1.96/2.31  Done
% 1.96/2.31  
% 1.96/2.31  Failed to find proof!
% 1.96/2.31  maxweight =   15
% 1.96/2.31  maxnrclauses = 10000000
% 1.96/2.31  Generated: 109912
% 1.96/2.31  Kept: 725
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  The strategy used was not complete!
% 1.96/2.31  
% 1.96/2.31  Increased maxweight to 16
% 1.96/2.31  
% 1.96/2.31  Starting Search:
% 1.96/2.31  
% 1.96/2.31  *** allocated 50625 integers for clauses
% 1.96/2.31  *** allocated 22500 integers for termspace/termends
% 1.96/2.31  
% 1.96/2.31  Bliksems!, er is een bewijs:
% 1.96/2.31  % SZS status Theorem
% 1.96/2.31  % SZS output start Refutation
% 1.96/2.31  
% 1.96/2.31  (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.96/2.31  (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.96/2.31  (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.96/2.31  (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.96/2.31     ), ! distinct_points( X, Y ) }.
% 1.96/2.31  (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.96/2.31    , ! distinct_lines( X, Y ) }.
% 1.96/2.31  (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y, 
% 1.96/2.31    Z ), ! convergent_lines( X, Y ) }.
% 1.96/2.31  (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 1.96/2.31    , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 1.96/2.31  (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 1.96/2.31    , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 1.96/2.31  (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines( 
% 1.96/2.31    Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ), 
% 1.96/2.31    apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.96/2.31  (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.96/2.31    ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 1.96/2.31    , Y ) }.
% 1.96/2.31  (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 ) }.
% 1.96/2.31  (16) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1, intersection_point( 
% 1.96/2.31    skol2, skol3 ) ) }.
% 1.96/2.31  (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol2 ) }.
% 1.96/2.31  (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 1.96/2.31  (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ), 
% 1.96/2.31    distinct_points( X, Y ) }.
% 1.96/2.31  (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.96/2.31    ( X, Y ) }.
% 1.96/2.31  (33) {G2,W6,D2,L2,V2,M1} R(13,30) { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_lines( Y, X ) }.
% 1.96/2.31  (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ), 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  (41) {G2,W3,D2,L1,V0,M1} R(38,15) { convergent_lines( skol3, skol2 ) }.
% 1.96/2.31  (99) {G1,W15,D2,L5,V2,M3} R(10,17) { ! distinct_points( skol1, X ), ! 
% 1.96/2.31    distinct_lines( skol2, Y ), apart_point_and_line( X, skol2 ), 
% 1.96/2.31    apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ) }.
% 1.96/2.31  (121) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), ! 
% 1.96/2.31    convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 1.96/2.31     ), ! apart_point_and_line( X, Z ) }.
% 1.96/2.31  (122) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), ! 
% 1.96/2.31    convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 1.96/2.31     ), ! apart_point_and_line( X, Z ) }.
% 1.96/2.31  (126) {G1,W6,D2,L2,V1,M1} R(11,18) { distinct_points( X, skol1 ), ! 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  (129) {G2,W8,D3,L2,V2,M1} F(122);r(0) { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.96/2.31  (130) {G2,W8,D3,L2,V2,M1} F(121);r(0) { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.96/2.31  (132) {G2,W9,D2,L3,V2,M1} R(126,11) { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 1.96/2.31  (269) {G3,W12,D2,L4,V3,M1} R(132,11) { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 1.96/2.31    ( Z, skol3 ) }.
% 1.96/2.31  (270) {G4,W6,D2,L2,V1,M1} F(269);r(21) { distinct_points( skol1, X ), ! 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  (700) {G5,W12,D2,L4,V1,M1} R(99,270);r(0) { ! distinct_points( skol1, X ), 
% 1.96/2.31    ! distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol2 ), 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  (713) {G6,W16,D3,L4,V1,M1} R(700,130) { ! distinct_points( skol1, 
% 1.96/2.31    intersection_point( X, skol3 ) ), ! distinct_lines( skol2, skol3 ), ! 
% 1.96/2.31    convergent_lines( X, skol3 ), apart_point_and_line( intersection_point( X
% 1.96/2.31    , skol3 ), skol2 ) }.
% 1.96/2.31  (900) {G7,W6,D2,L2,V0,M1} R(713,129);f;r(16) { ! convergent_lines( skol2, 
% 1.96/2.31    skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 1.96/2.31  (901) {G8,W3,D2,L1,V0,M1} S(900);r(15) { ! distinct_lines( skol2, skol3 )
% 1.96/2.31     }.
% 1.96/2.31  (1092) {G9,W0,D0,L0,V0,M0} R(901,33);r(41) {  }.
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  % SZS output end Refutation
% 1.96/2.31  found a proof!
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Unprocessed initial clauses:
% 1.96/2.31  
% 1.96/2.31  (1094) {G0,W3,D2,L1,V1,M1}  { ! distinct_points( X, X ) }.
% 1.96/2.31  (1095) {G0,W3,D2,L1,V1,M1}  { ! distinct_lines( X, X ) }.
% 1.96/2.31  (1096) {G0,W3,D2,L1,V1,M1}  { ! convergent_lines( X, X ) }.
% 1.96/2.31  (1097) {G0,W9,D2,L3,V3,M3}  { ! distinct_points( X, Y ), distinct_points( X
% 1.96/2.31    , Z ), distinct_points( Y, Z ) }.
% 1.96/2.31  (1098) {G0,W9,D2,L3,V3,M3}  { ! distinct_lines( X, Y ), distinct_lines( X, 
% 1.96/2.31    Z ), distinct_lines( Y, Z ) }.
% 1.96/2.31  (1099) {G0,W9,D2,L3,V3,M3}  { ! convergent_lines( X, Y ), convergent_lines
% 1.96/2.31    ( X, Z ), convergent_lines( Y, Z ) }.
% 1.96/2.31  (1100) {G0,W11,D3,L3,V3,M3}  { ! distinct_points( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.96/2.31     ) }.
% 1.96/2.31  (1101) {G0,W11,D3,L3,V3,M3}  { ! distinct_points( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.96/2.31     ) }.
% 1.96/2.31  (1102) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X, 
% 1.96/2.31    Y ) ) }.
% 1.96/2.31  (1103) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X, 
% 1.96/2.31    Y ) ) }.
% 1.96/2.31  (1104) {G0,W18,D2,L6,V4,M6}  { ! distinct_points( X, Y ), ! distinct_lines
% 1.96/2.31    ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ), 
% 1.96/2.31    apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.96/2.31  (1105) {G0,W9,D2,L3,V3,M3}  { ! apart_point_and_line( X, Y ), 
% 1.96/2.31    distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.96/2.31  (1106) {G0,W9,D2,L3,V3,M3}  { ! apart_point_and_line( X, Y ), 
% 1.96/2.31    distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.96/2.31  (1107) {G0,W6,D2,L2,V2,M2}  { ! convergent_lines( X, Y ), distinct_lines( X
% 1.96/2.31    , Y ) }.
% 1.96/2.31  (1108) {G0,W3,D2,L1,V0,M1}  { distinct_points( skol1, skol4 ) }.
% 1.96/2.31  (1109) {G0,W3,D2,L1,V0,M1}  { convergent_lines( skol2, skol3 ) }.
% 1.96/2.31  (1110) {G0,W5,D3,L1,V0,M1}  { distinct_points( skol1, intersection_point( 
% 1.96/2.31    skol2, skol3 ) ) }.
% 1.96/2.31  (1111) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol1, skol2 ) }.
% 1.96/2.31  (1112) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol1, skol3 ) }.
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Total Proof:
% 1.96/2.31  
% 1.96/2.31  subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.96/2.31  parent0: (1094) {G0,W3,D2,L1,V1,M1}  { ! distinct_points( X, X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.96/2.31  parent0: (1095) {G0,W3,D2,L1,V1,M1}  { ! distinct_lines( X, X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.96/2.31  parent0: (1096) {G0,W3,D2,L1,V1,M1}  { ! convergent_lines( X, X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), 
% 1.96/2.31    distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.96/2.31  parent0: (1097) {G0,W9,D2,L3,V3,M3}  { ! distinct_points( X, Y ), 
% 1.96/2.31    distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 2
% 1.96/2.31     1 ==> 0
% 1.96/2.31     2 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), 
% 1.96/2.31    distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.96/2.31  parent0: (1098) {G0,W9,D2,L3,V3,M3}  { ! distinct_lines( X, Y ), 
% 1.96/2.31    distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 2
% 1.96/2.31     1 ==> 0
% 1.96/2.31     2 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), 
% 1.96/2.31    convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.96/2.31  parent0: (1099) {G0,W9,D2,L3,V3,M3}  { ! convergent_lines( X, Y ), 
% 1.96/2.31    convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 2
% 1.96/2.31     1 ==> 0
% 1.96/2.31     2 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.96/2.31    ( Z, X ) }.
% 1.96/2.31  parent0: (1102) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X, 
% 1.96/2.31    Y ) ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 2
% 1.96/2.31     2 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.96/2.31    ( Z, Y ) }.
% 1.96/2.31  parent0: (1103) {G0,W11,D3,L3,V3,M3}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X, 
% 1.96/2.31    Y ) ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 2
% 1.96/2.31     2 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! 
% 1.96/2.31    distinct_lines( Z, T ), apart_point_and_line( X, T ), 
% 1.96/2.31    apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ), 
% 1.96/2.31    apart_point_and_line( X, Z ) }.
% 1.96/2.31  parent0: (1104) {G0,W18,D2,L6,V4,M6}  { ! distinct_points( X, Y ), ! 
% 1.96/2.31    distinct_lines( Z, T ), apart_point_and_line( X, Z ), 
% 1.96/2.31    apart_point_and_line( X, T ), apart_point_and_line( Y, Z ), 
% 1.96/2.31    apart_point_and_line( Y, T ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31     T := T
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31     2 ==> 5
% 1.96/2.31     3 ==> 2
% 1.96/2.31     4 ==> 3
% 1.96/2.31     5 ==> 4
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  parent0: (1105) {G0,W9,D2,L3,V3,M3}  { ! apart_point_and_line( X, Y ), 
% 1.96/2.31    distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 2
% 1.96/2.31     1 ==> 0
% 1.96/2.31     2 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  parent0: (1107) {G0,W6,D2,L2,V2,M2}  { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 1.96/2.31     }.
% 1.96/2.31  parent0: (1109) {G0,W3,D2,L1,V0,M1}  { convergent_lines( skol2, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (16) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1, 
% 1.96/2.31    intersection_point( skol2, skol3 ) ) }.
% 1.96/2.31  parent0: (1110) {G0,W5,D3,L1,V0,M1}  { distinct_points( skol1, 
% 1.96/2.31    intersection_point( skol2, skol3 ) ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, 
% 1.96/2.31    skol2 ) }.
% 1.96/2.31  parent0: (1111) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol1, skol2
% 1.96/2.31     ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, 
% 1.96/2.31    skol3 ) }.
% 1.96/2.31  parent0: (1112) {G0,W3,D2,L1,V0,M1}  { ! apart_point_and_line( skol1, skol3
% 1.96/2.31     ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1188) {G1,W6,D2,L2,V2,M2}  { distinct_points( Y, X ), ! 
% 1.96/2.31    distinct_points( X, Y ) }.
% 1.96/2.31  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.96/2.31  parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), 
% 1.96/2.31    distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ), 
% 1.96/2.31    distinct_points( X, Y ) }.
% 1.96/2.31  parent0: (1188) {G1,W6,D2,L2,V2,M2}  { distinct_points( Y, X ), ! 
% 1.96/2.31    distinct_points( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := Y
% 1.96/2.31     Y := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 1
% 1.96/2.31     1 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1190) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.96/2.31  parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), 
% 1.96/2.31    distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  parent0: (1190) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := Y
% 1.96/2.31     Y := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 1
% 1.96/2.31     1 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1192) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  parent0[0]: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := Y
% 1.96/2.31     Y := X
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (33) {G2,W6,D2,L2,V2,M1} R(13,30) { ! convergent_lines( X, Y )
% 1.96/2.31    , distinct_lines( Y, X ) }.
% 1.96/2.31  parent0: (1192) {G1,W6,D2,L2,V2,M2}  { distinct_lines( Y, X ), ! 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 1
% 1.96/2.31     1 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1193) {G1,W6,D2,L2,V2,M2}  { convergent_lines( Y, X ), ! 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.96/2.31  parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), 
% 1.96/2.31    convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ), 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  parent0: (1193) {G1,W6,D2,L2,V2,M2}  { convergent_lines( Y, X ), ! 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := Y
% 1.96/2.31     Y := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 1
% 1.96/2.31     1 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1195) {G1,W3,D2,L1,V0,M1}  { convergent_lines( skol3, skol2 )
% 1.96/2.31     }.
% 1.96/2.31  parent0[0]: (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ), 
% 1.96/2.31    convergent_lines( X, Y ) }.
% 1.96/2.31  parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 1.96/2.31     }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := skol3
% 1.96/2.31     Y := skol2
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (41) {G2,W3,D2,L1,V0,M1} R(38,15) { convergent_lines( skol3, 
% 1.96/2.31    skol2 ) }.
% 1.96/2.31  parent0: (1195) {G1,W3,D2,L1,V0,M1}  { convergent_lines( skol3, skol2 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1199) {G1,W15,D2,L5,V2,M5}  { ! distinct_points( skol1, X ), !
% 1.96/2.31     distinct_lines( skol2, Y ), apart_point_and_line( skol1, Y ), 
% 1.96/2.31    apart_point_and_line( X, skol2 ), apart_point_and_line( X, Y ) }.
% 1.96/2.31  parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, 
% 1.96/2.31    skol2 ) }.
% 1.96/2.31  parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! 
% 1.96/2.31    distinct_lines( Z, T ), apart_point_and_line( X, T ), 
% 1.96/2.31    apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ), 
% 1.96/2.31    apart_point_and_line( X, Z ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := skol1
% 1.96/2.31     Y := X
% 1.96/2.31     Z := skol2
% 1.96/2.31     T := Y
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (99) {G1,W15,D2,L5,V2,M3} R(10,17) { ! distinct_points( skol1
% 1.96/2.31    , X ), ! distinct_lines( skol2, Y ), apart_point_and_line( X, skol2 ), 
% 1.96/2.31    apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ) }.
% 1.96/2.31  parent0: (1199) {G1,W15,D2,L5,V2,M5}  { ! distinct_points( skol1, X ), ! 
% 1.96/2.31    distinct_lines( skol2, Y ), apart_point_and_line( skol1, Y ), 
% 1.96/2.31    apart_point_and_line( X, skol2 ), apart_point_and_line( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31     2 ==> 4
% 1.96/2.31     3 ==> 2
% 1.96/2.31     4 ==> 3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1205) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.96/2.31    , ! apart_point_and_line( T, Y ) }.
% 1.96/2.31  parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.96/2.31    ( Z, Y ) }.
% 1.96/2.31  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := T
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (121) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), 
% 1.96/2.31    ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 1.96/2.31     ) ), ! apart_point_and_line( X, Z ) }.
% 1.96/2.31  parent0: (1205) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.96/2.31    , ! apart_point_and_line( T, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := T
% 1.96/2.31     Y := Z
% 1.96/2.31     Z := Y
% 1.96/2.31     T := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 1
% 1.96/2.31     1 ==> 2
% 1.96/2.31     2 ==> 0
% 1.96/2.31     3 ==> 3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1207) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.96/2.31    , ! apart_point_and_line( T, X ) }.
% 1.96/2.31  parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.96/2.31    ( Z, X ) }.
% 1.96/2.31  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := T
% 1.96/2.31     Y := X
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (122) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), 
% 1.96/2.31    ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 1.96/2.31     ) ), ! apart_point_and_line( X, Z ) }.
% 1.96/2.31  parent0: (1207) {G1,W14,D3,L4,V4,M4}  { ! convergent_lines( X, Y ), 
% 1.96/2.31    distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.96/2.31    , ! apart_point_and_line( T, X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := Z
% 1.96/2.31     Y := T
% 1.96/2.31     Z := Y
% 1.96/2.31     T := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 1
% 1.96/2.31     1 ==> 2
% 1.96/2.31     2 ==> 0
% 1.96/2.31     3 ==> 3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1209) {G1,W6,D2,L2,V1,M2}  { distinct_points( X, skol1 ), ! 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, 
% 1.96/2.31    skol3 ) }.
% 1.96/2.31  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := skol3
% 1.96/2.31     Z := skol1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (126) {G1,W6,D2,L2,V1,M1} R(11,18) { distinct_points( X, skol1
% 1.96/2.31     ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0: (1209) {G1,W6,D2,L2,V1,M2}  { distinct_points( X, skol1 ), ! 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  factor: (1210) {G1,W15,D3,L3,V2,M3}  { distinct_points( intersection_point
% 1.96/2.31    ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.96/2.31  parent0[0, 2]: (122) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 1.96/2.31    , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, 
% 1.96/2.31    T ) ), ! apart_point_and_line( X, Z ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := intersection_point( X, Y )
% 1.96/2.31     Y := intersection_point( X, Y )
% 1.96/2.31     Z := X
% 1.96/2.31     T := Y
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1211) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.96/2.31  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.96/2.31  parent1[0]: (1210) {G1,W15,D3,L3,V2,M3}  { distinct_points( 
% 1.96/2.31    intersection_point( X, Y ), intersection_point( X, Y ) ), ! 
% 1.96/2.31    convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X, 
% 1.96/2.31    Y ), X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := intersection_point( X, Y )
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (129) {G2,W8,D3,L2,V2,M1} F(122);r(0) { ! convergent_lines( X
% 1.96/2.31    , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.96/2.31  parent0: (1211) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  factor: (1212) {G1,W15,D3,L3,V2,M3}  { distinct_points( intersection_point
% 1.96/2.31    ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.96/2.31  parent0[0, 2]: (121) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 1.96/2.31    , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, 
% 1.96/2.31    Z ) ), ! apart_point_and_line( X, Z ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := intersection_point( X, Y )
% 1.96/2.31     Y := intersection_point( X, Y )
% 1.96/2.31     Z := Y
% 1.96/2.31     T := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1213) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.96/2.31  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.96/2.31  parent1[0]: (1212) {G1,W15,D3,L3,V2,M3}  { distinct_points( 
% 1.96/2.31    intersection_point( X, Y ), intersection_point( X, Y ) ), ! 
% 1.96/2.31    convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X, 
% 1.96/2.31    Y ), Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := intersection_point( X, Y )
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (130) {G2,W8,D3,L2,V2,M1} F(121);r(0) { ! convergent_lines( X
% 1.96/2.31    , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.96/2.31  parent0: (1213) {G1,W8,D3,L2,V2,M2}  { ! convergent_lines( X, Y ), ! 
% 1.96/2.31    apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1214) {G1,W9,D2,L3,V2,M3}  { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 1.96/2.31  parent0[1]: (126) {G1,W6,D2,L2,V1,M1} R(11,18) { distinct_points( X, skol1
% 1.96/2.31     ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := Y
% 1.96/2.31     Y := skol3
% 1.96/2.31     Z := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (132) {G2,W9,D2,L3,V2,M1} R(126,11) { distinct_points( X, 
% 1.96/2.31    skol1 ), distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 1.96/2.31  parent0: (1214) {G1,W9,D2,L3,V2,M3}  { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31     2 ==> 2
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1216) {G1,W12,D2,L4,V3,M4}  { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 1.96/2.31    ( Z, skol3 ) }.
% 1.96/2.31  parent0[2]: (132) {G2,W9,D2,L3,V2,M1} R(126,11) { distinct_points( X, skol1
% 1.96/2.31     ), distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 1.96/2.31  parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), 
% 1.96/2.31    apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := Z
% 1.96/2.31     Y := skol3
% 1.96/2.31     Z := Y
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (269) {G3,W12,D2,L4,V3,M1} R(132,11) { distinct_points( X, 
% 1.96/2.31    skol1 ), distinct_points( Y, X ), distinct_points( Z, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, skol3 ) }.
% 1.96/2.31  parent0: (1216) {G1,W12,D2,L4,V3,M4}  { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 1.96/2.31    ( Z, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := Y
% 1.96/2.31     Z := Z
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31     2 ==> 2
% 1.96/2.31     3 ==> 3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  factor: (1222) {G3,W9,D2,L3,V1,M3}  { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0[0, 2]: (269) {G3,W12,D2,L4,V3,M1} R(132,11) { distinct_points( X, 
% 1.96/2.31    skol1 ), distinct_points( Y, X ), distinct_points( Z, Y ), ! 
% 1.96/2.31    apart_point_and_line( Z, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := skol1
% 1.96/2.31     Z := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1228) {G2,W9,D2,L3,V1,M3}  { distinct_points( skol1, X ), 
% 1.96/2.31    distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ), 
% 1.96/2.31    distinct_points( X, Y ) }.
% 1.96/2.31  parent1[0]: (1222) {G3,W9,D2,L3,V1,M3}  { distinct_points( X, skol1 ), 
% 1.96/2.31    distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := skol1
% 1.96/2.31     Y := X
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  factor: (1230) {G2,W6,D2,L2,V1,M2}  { distinct_points( skol1, X ), ! 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0[0, 1]: (1228) {G2,W9,D2,L3,V1,M3}  { distinct_points( skol1, X ), 
% 1.96/2.31    distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (270) {G4,W6,D2,L2,V1,M1} F(269);r(21) { distinct_points( 
% 1.96/2.31    skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0: (1230) {G2,W6,D2,L2,V1,M2}  { distinct_points( skol1, X ), ! 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1237) {G2,W15,D2,L5,V1,M5}  { distinct_points( skol1, skol1 )
% 1.96/2.31    , ! distinct_points( skol1, X ), ! distinct_lines( skol2, skol3 ), 
% 1.96/2.31    apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0[1]: (270) {G4,W6,D2,L2,V1,M1} F(269);r(21) { distinct_points( skol1
% 1.96/2.31    , X ), ! apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent1[4]: (99) {G1,W15,D2,L5,V2,M3} R(10,17) { ! distinct_points( skol1, 
% 1.96/2.31    X ), ! distinct_lines( skol2, Y ), apart_point_and_line( X, skol2 ), 
% 1.96/2.31    apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := skol1
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31     Y := skol3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1238) {G1,W12,D2,L4,V1,M4}  { ! distinct_points( skol1, X ), !
% 1.96/2.31     distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol2 ), 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.96/2.31  parent1[0]: (1237) {G2,W15,D2,L5,V1,M5}  { distinct_points( skol1, skol1 )
% 1.96/2.31    , ! distinct_points( skol1, X ), ! distinct_lines( skol2, skol3 ), 
% 1.96/2.31    apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := skol1
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (700) {G5,W12,D2,L4,V1,M1} R(99,270);r(0) { ! distinct_points
% 1.96/2.31    ( skol1, X ), ! distinct_lines( skol2, skol3 ), apart_point_and_line( X, 
% 1.96/2.31    skol2 ), apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  parent0: (1238) {G1,W12,D2,L4,V1,M4}  { ! distinct_points( skol1, X ), ! 
% 1.96/2.31    distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol2 ), 
% 1.96/2.31    apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31     2 ==> 2
% 1.96/2.31     3 ==> 3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1240) {G3,W16,D3,L4,V1,M4}  { ! convergent_lines( X, skol3 ), 
% 1.96/2.31    ! distinct_points( skol1, intersection_point( X, skol3 ) ), ! 
% 1.96/2.31    distinct_lines( skol2, skol3 ), apart_point_and_line( intersection_point
% 1.96/2.31    ( X, skol3 ), skol2 ) }.
% 1.96/2.31  parent0[1]: (130) {G2,W8,D3,L2,V2,M1} F(121);r(0) { ! convergent_lines( X, 
% 1.96/2.31    Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.96/2.31  parent1[3]: (700) {G5,W12,D2,L4,V1,M1} R(99,270);r(0) { ! distinct_points( 
% 1.96/2.31    skol1, X ), ! distinct_lines( skol2, skol3 ), apart_point_and_line( X, 
% 1.96/2.31    skol2 ), apart_point_and_line( X, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31     Y := skol3
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := intersection_point( X, skol3 )
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (713) {G6,W16,D3,L4,V1,M1} R(700,130) { ! distinct_points( 
% 1.96/2.31    skol1, intersection_point( X, skol3 ) ), ! distinct_lines( skol2, skol3 )
% 1.96/2.31    , ! convergent_lines( X, skol3 ), apart_point_and_line( 
% 1.96/2.31    intersection_point( X, skol3 ), skol2 ) }.
% 1.96/2.31  parent0: (1240) {G3,W16,D3,L4,V1,M4}  { ! convergent_lines( X, skol3 ), ! 
% 1.96/2.31    distinct_points( skol1, intersection_point( X, skol3 ) ), ! 
% 1.96/2.31    distinct_lines( skol2, skol3 ), apart_point_and_line( intersection_point
% 1.96/2.31    ( X, skol3 ), skol2 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := X
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 2
% 1.96/2.31     1 ==> 0
% 1.96/2.31     2 ==> 1
% 1.96/2.31     3 ==> 3
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1241) {G3,W14,D3,L4,V0,M4}  { ! convergent_lines( skol2, skol3
% 1.96/2.31     ), ! distinct_points( skol1, intersection_point( skol2, skol3 ) ), ! 
% 1.96/2.31    distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, skol3 ) }.
% 1.96/2.31  parent0[1]: (129) {G2,W8,D3,L2,V2,M1} F(122);r(0) { ! convergent_lines( X, 
% 1.96/2.31    Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.96/2.31  parent1[3]: (713) {G6,W16,D3,L4,V1,M1} R(700,130) { ! distinct_points( 
% 1.96/2.31    skol1, intersection_point( X, skol3 ) ), ! distinct_lines( skol2, skol3 )
% 1.96/2.31    , ! convergent_lines( X, skol3 ), apart_point_and_line( 
% 1.96/2.31    intersection_point( X, skol3 ), skol2 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31     X := skol2
% 1.96/2.31     Y := skol3
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := skol2
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1243) {G1,W9,D2,L3,V0,M3}  { ! convergent_lines( skol2, skol3
% 1.96/2.31     ), ! distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, skol3 )
% 1.96/2.31     }.
% 1.96/2.31  parent0[1]: (1241) {G3,W14,D3,L4,V0,M4}  { ! convergent_lines( skol2, skol3
% 1.96/2.31     ), ! distinct_points( skol1, intersection_point( skol2, skol3 ) ), ! 
% 1.96/2.31    distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, skol3 ) }.
% 1.96/2.31  parent1[0]: (16) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1, 
% 1.96/2.31    intersection_point( skol2, skol3 ) ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  factor: (1244) {G1,W6,D2,L2,V0,M2}  { ! convergent_lines( skol2, skol3 ), !
% 1.96/2.31     distinct_lines( skol2, skol3 ) }.
% 1.96/2.31  parent0[0, 2]: (1243) {G1,W9,D2,L3,V0,M3}  { ! convergent_lines( skol2, 
% 1.96/2.31    skol3 ), ! distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, 
% 1.96/2.31    skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (900) {G7,W6,D2,L2,V0,M1} R(713,129);f;r(16) { ! 
% 1.96/2.31    convergent_lines( skol2, skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 1.96/2.31  parent0: (1244) {G1,W6,D2,L2,V0,M2}  { ! convergent_lines( skol2, skol3 ), 
% 1.96/2.31    ! distinct_lines( skol2, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31     1 ==> 1
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1245) {G1,W3,D2,L1,V0,M1}  { ! distinct_lines( skol2, skol3 )
% 1.96/2.31     }.
% 1.96/2.31  parent0[0]: (900) {G7,W6,D2,L2,V0,M1} R(713,129);f;r(16) { ! 
% 1.96/2.31    convergent_lines( skol2, skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 1.96/2.31  parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 1.96/2.31     }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (901) {G8,W3,D2,L1,V0,M1} S(900);r(15) { ! distinct_lines( 
% 1.96/2.31    skol2, skol3 ) }.
% 1.96/2.31  parent0: (1245) {G1,W3,D2,L1,V0,M1}  { ! distinct_lines( skol2, skol3 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31     0 ==> 0
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1246) {G3,W3,D2,L1,V0,M1}  { ! convergent_lines( skol3, skol2
% 1.96/2.31     ) }.
% 1.96/2.31  parent0[0]: (901) {G8,W3,D2,L1,V0,M1} S(900);r(15) { ! distinct_lines( 
% 1.96/2.31    skol2, skol3 ) }.
% 1.96/2.31  parent1[1]: (33) {G2,W6,D2,L2,V2,M1} R(13,30) { ! convergent_lines( X, Y )
% 1.96/2.31    , distinct_lines( Y, X ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31     X := skol3
% 1.96/2.31     Y := skol2
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  resolution: (1247) {G3,W0,D0,L0,V0,M0}  {  }.
% 1.96/2.31  parent0[0]: (1246) {G3,W3,D2,L1,V0,M1}  { ! convergent_lines( skol3, skol2
% 1.96/2.31     ) }.
% 1.96/2.31  parent1[0]: (41) {G2,W3,D2,L1,V0,M1} R(38,15) { convergent_lines( skol3, 
% 1.96/2.31    skol2 ) }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  substitution1:
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  subsumption: (1092) {G9,W0,D0,L0,V0,M0} R(901,33);r(41) {  }.
% 1.96/2.31  parent0: (1247) {G3,W0,D0,L0,V0,M0}  {  }.
% 1.96/2.31  substitution0:
% 1.96/2.31  end
% 1.96/2.31  permutation0:
% 1.96/2.31  end
% 1.96/2.31  
% 1.96/2.31  Proof check complete!
% 1.96/2.31  
% 1.96/2.31  Memory use:
% 1.96/2.31  
% 1.96/2.31  space for terms:        15465
% 1.96/2.31  space for clauses:      38729
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  clauses generated:      111655
% 1.96/2.31  clauses kept:           1093
% 1.96/2.31  clauses selected:       724
% 1.96/2.31  clauses deleted:        10
% 1.96/2.31  clauses inuse deleted:  0
% 1.96/2.31  
% 1.96/2.31  subsentry:          116870
% 1.96/2.31  literals s-matched: 87512
% 1.96/2.31  literals matched:   87477
% 1.96/2.31  full subsumption:   68557
% 1.96/2.31  
% 1.96/2.31  checksum:           -3103273
% 1.96/2.31  
% 1.96/2.31  
% 1.96/2.31  Bliksem ended
%------------------------------------------------------------------------------