TSTP Solution File: GEO186+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO186+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:52:26 EDT 2022
% Result : Theorem 2.02s 2.39s
% Output : Refutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO186+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jun 18 13:13:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 2.02/2.39 *** allocated 10000 integers for termspace/termends
% 2.02/2.39 *** allocated 10000 integers for clauses
% 2.02/2.39 *** allocated 10000 integers for justifications
% 2.02/2.39 Bliksem 1.12
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Automatic Strategy Selection
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Clauses:
% 2.02/2.39
% 2.02/2.39 { ! distinct_points( X, X ) }.
% 2.02/2.39 { ! distinct_lines( X, X ) }.
% 2.02/2.39 { ! convergent_lines( X, X ) }.
% 2.02/2.39 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 2.02/2.39 ) }.
% 2.02/2.39 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 2.02/2.39 }.
% 2.02/2.39 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 2.02/2.39 , Z ) }.
% 2.02/2.39 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 2.02/2.39 , Y ) ), distinct_points( Z, X ) }.
% 2.02/2.39 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 2.02/2.39 , Y ) ), distinct_points( Z, Y ) }.
% 2.02/2.39 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ) }.
% 2.02/2.39 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ) }.
% 2.02/2.39 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 2.02/2.39 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 2.02/2.39 apart_point_and_line( Y, T ) }.
% 2.02/2.39 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ) }.
% 2.02/2.39 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 2.02/2.39 apart_point_and_line( X, Z ) }.
% 2.02/2.39 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 2.02/2.39 { distinct_points( skol1, skol4 ) }.
% 2.02/2.39 { convergent_lines( skol2, skol3 ) }.
% 2.02/2.39 { ! apart_point_and_line( skol1, skol2 ) }.
% 2.02/2.39 { ! apart_point_and_line( skol1, skol3 ) }.
% 2.02/2.39 { distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 2.02/2.39
% 2.02/2.39 percentage equality = 0.000000, percentage horn = 0.684211
% 2.02/2.39 This a non-horn, non-equality problem
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Options Used:
% 2.02/2.39
% 2.02/2.39 useres = 1
% 2.02/2.39 useparamod = 0
% 2.02/2.39 useeqrefl = 0
% 2.02/2.39 useeqfact = 0
% 2.02/2.39 usefactor = 1
% 2.02/2.39 usesimpsplitting = 0
% 2.02/2.39 usesimpdemod = 0
% 2.02/2.39 usesimpres = 3
% 2.02/2.39
% 2.02/2.39 resimpinuse = 1000
% 2.02/2.39 resimpclauses = 20000
% 2.02/2.39 substype = standard
% 2.02/2.39 backwardsubs = 1
% 2.02/2.39 selectoldest = 5
% 2.02/2.39
% 2.02/2.39 litorderings [0] = split
% 2.02/2.39 litorderings [1] = liftord
% 2.02/2.39
% 2.02/2.39 termordering = none
% 2.02/2.39
% 2.02/2.39 litapriori = 1
% 2.02/2.39 termapriori = 0
% 2.02/2.39 litaposteriori = 0
% 2.02/2.39 termaposteriori = 0
% 2.02/2.39 demodaposteriori = 0
% 2.02/2.39 ordereqreflfact = 0
% 2.02/2.39
% 2.02/2.39 litselect = none
% 2.02/2.39
% 2.02/2.39 maxweight = 15
% 2.02/2.39 maxdepth = 30000
% 2.02/2.39 maxlength = 115
% 2.02/2.39 maxnrvars = 195
% 2.02/2.39 excuselevel = 1
% 2.02/2.39 increasemaxweight = 1
% 2.02/2.39
% 2.02/2.39 maxselected = 10000000
% 2.02/2.39 maxnrclauses = 10000000
% 2.02/2.39
% 2.02/2.39 showgenerated = 0
% 2.02/2.39 showkept = 0
% 2.02/2.39 showselected = 0
% 2.02/2.39 showdeleted = 0
% 2.02/2.39 showresimp = 1
% 2.02/2.39 showstatus = 2000
% 2.02/2.39
% 2.02/2.39 prologoutput = 0
% 2.02/2.39 nrgoals = 5000000
% 2.02/2.39 totalproof = 1
% 2.02/2.39
% 2.02/2.39 Symbols occurring in the translation:
% 2.02/2.39
% 2.02/2.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.02/2.39 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 2.02/2.39 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 2.02/2.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.02/2.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.02/2.39 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 2.02/2.39 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 2.02/2.39 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 2.02/2.39 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 2.02/2.39 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.02/2.39 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.02/2.39 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 2.02/2.39 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 2.02/2.39 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.02/2.39 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Starting Search:
% 2.02/2.39
% 2.02/2.39 *** allocated 15000 integers for clauses
% 2.02/2.39 *** allocated 22500 integers for clauses
% 2.02/2.39 *** allocated 33750 integers for clauses
% 2.02/2.39 *** allocated 15000 integers for termspace/termends
% 2.02/2.39 Resimplifying inuse:
% 2.02/2.39 Done
% 2.02/2.39
% 2.02/2.39 Failed to find proof!
% 2.02/2.39 maxweight = 15
% 2.02/2.39 maxnrclauses = 10000000
% 2.02/2.39 Generated: 109912
% 2.02/2.39 Kept: 725
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 The strategy used was not complete!
% 2.02/2.39
% 2.02/2.39 Increased maxweight to 16
% 2.02/2.39
% 2.02/2.39 Starting Search:
% 2.02/2.39
% 2.02/2.39 *** allocated 50625 integers for clauses
% 2.02/2.39 *** allocated 22500 integers for termspace/termends
% 2.02/2.39
% 2.02/2.39 Bliksems!, er is een bewijs:
% 2.02/2.39 % SZS status Theorem
% 2.02/2.39 % SZS output start Refutation
% 2.02/2.39
% 2.02/2.39 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.02/2.39 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 2.02/2.39 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 2.02/2.39 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 2.02/2.39 ), ! distinct_points( X, Y ) }.
% 2.02/2.39 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 2.02/2.39 , ! distinct_lines( X, Y ) }.
% 2.02/2.39 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 2.02/2.39 Z ), ! convergent_lines( X, Y ) }.
% 2.02/2.39 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 2.02/2.39 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 2.02/2.39 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 2.02/2.39 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 2.02/2.39 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 2.02/2.39 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 2.02/2.39 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 2.02/2.39 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 2.02/2.39 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 2.02/2.39 , Y ) }.
% 2.02/2.39 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 ) }.
% 2.02/2.39 (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol2 ) }.
% 2.02/2.39 (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 2.02/2.39 (18) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1, intersection_point(
% 2.02/2.39 skol2, skol3 ) ) }.
% 2.02/2.39 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 2.02/2.39 distinct_points( X, Y ) }.
% 2.02/2.39 (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 2.02/2.39 ( X, Y ) }.
% 2.02/2.39 (33) {G2,W6,D2,L2,V2,M1} R(13,30) { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_lines( Y, X ) }.
% 2.02/2.39 (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 (41) {G2,W3,D2,L1,V0,M1} R(38,15) { convergent_lines( skol3, skol2 ) }.
% 2.02/2.39 (99) {G1,W15,D2,L5,V2,M3} R(10,16) { ! distinct_points( skol1, X ), !
% 2.02/2.39 distinct_lines( skol2, Y ), apart_point_and_line( X, skol2 ),
% 2.02/2.39 apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ) }.
% 2.02/2.39 (121) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 2.02/2.39 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 2.02/2.39 ), ! apart_point_and_line( X, Z ) }.
% 2.02/2.39 (122) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 2.02/2.39 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 2.02/2.39 ), ! apart_point_and_line( X, Z ) }.
% 2.02/2.39 (126) {G1,W6,D2,L2,V1,M1} R(11,17) { distinct_points( X, skol1 ), !
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 (129) {G2,W8,D3,L2,V2,M1} F(122);r(0) { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.02/2.39 (130) {G2,W8,D3,L2,V2,M1} F(121);r(0) { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.02/2.39 (132) {G2,W9,D2,L3,V2,M1} R(126,11) { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 2.02/2.39 (269) {G3,W12,D2,L4,V3,M1} R(132,11) { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 2.02/2.39 ( Z, skol3 ) }.
% 2.02/2.39 (270) {G4,W6,D2,L2,V1,M1} F(269);r(21) { distinct_points( skol1, X ), !
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 (700) {G5,W12,D2,L4,V1,M1} R(99,270);r(0) { ! distinct_points( skol1, X ),
% 2.02/2.39 ! distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol2 ),
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 (713) {G6,W16,D3,L4,V1,M1} R(700,130) { ! distinct_points( skol1,
% 2.02/2.39 intersection_point( X, skol3 ) ), ! distinct_lines( skol2, skol3 ), !
% 2.02/2.39 convergent_lines( X, skol3 ), apart_point_and_line( intersection_point( X
% 2.02/2.39 , skol3 ), skol2 ) }.
% 2.02/2.39 (900) {G7,W6,D2,L2,V0,M1} R(713,129);f;r(18) { ! convergent_lines( skol2,
% 2.02/2.39 skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 2.02/2.39 (901) {G8,W3,D2,L1,V0,M1} S(900);r(15) { ! distinct_lines( skol2, skol3 )
% 2.02/2.39 }.
% 2.02/2.39 (1092) {G9,W0,D0,L0,V0,M0} R(901,33);r(41) { }.
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 % SZS output end Refutation
% 2.02/2.39 found a proof!
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Unprocessed initial clauses:
% 2.02/2.39
% 2.02/2.39 (1094) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 2.02/2.39 (1095) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 2.02/2.39 (1096) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 2.02/2.39 (1097) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 2.02/2.39 , Z ), distinct_points( Y, Z ) }.
% 2.02/2.39 (1098) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 2.02/2.39 Z ), distinct_lines( Y, Z ) }.
% 2.02/2.39 (1099) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 2.02/2.39 ( X, Z ), convergent_lines( Y, Z ) }.
% 2.02/2.39 (1100) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 2.02/2.39 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 2.02/2.39 ) }.
% 2.02/2.39 (1101) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 2.02/2.39 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 2.02/2.39 ) }.
% 2.02/2.39 (1102) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 2.02/2.39 Y ) ) }.
% 2.02/2.39 (1103) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 2.02/2.39 Y ) ) }.
% 2.02/2.39 (1104) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 2.02/2.39 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 2.02/2.39 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 2.02/2.39 (1105) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 2.02/2.39 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 2.02/2.39 (1106) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 2.02/2.39 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 2.02/2.39 (1107) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 2.02/2.39 , Y ) }.
% 2.02/2.39 (1108) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol4 ) }.
% 2.02/2.39 (1109) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 2.02/2.39 (1110) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2 ) }.
% 2.02/2.39 (1111) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 2.02/2.39 (1112) {G0,W5,D3,L1,V0,M1} { distinct_points( skol1, intersection_point(
% 2.02/2.39 skol2, skol3 ) ) }.
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Total Proof:
% 2.02/2.39
% 2.02/2.39 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.02/2.39 parent0: (1094) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 2.02/2.39 parent0: (1095) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 2.02/2.39 parent0: (1096) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 2.02/2.39 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 2.02/2.39 parent0: (1097) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 2.02/2.39 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 2
% 2.02/2.39 1 ==> 0
% 2.02/2.39 2 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 2.02/2.39 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 2.02/2.39 parent0: (1098) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 2.02/2.39 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 2
% 2.02/2.39 1 ==> 0
% 2.02/2.39 2 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 2.02/2.39 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 2.02/2.39 parent0: (1099) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 2.02/2.39 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 2
% 2.02/2.39 1 ==> 0
% 2.02/2.39 2 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 2.02/2.39 ( Z, X ) }.
% 2.02/2.39 parent0: (1102) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 2.02/2.39 Y ) ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 2
% 2.02/2.39 2 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 2.02/2.39 ( Z, Y ) }.
% 2.02/2.39 parent0: (1103) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 2.02/2.39 Y ) ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 2
% 2.02/2.39 2 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 2.02/2.39 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 2.02/2.39 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 2.02/2.39 apart_point_and_line( X, Z ) }.
% 2.02/2.39 parent0: (1104) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 2.02/2.39 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 2.02/2.39 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 2.02/2.39 apart_point_and_line( Y, T ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 T := T
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 2 ==> 5
% 2.02/2.39 3 ==> 2
% 2.02/2.39 4 ==> 3
% 2.02/2.39 5 ==> 4
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 parent0: (1105) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 2.02/2.39 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 2
% 2.02/2.39 1 ==> 0
% 2.02/2.39 2 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 parent0: (1107) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 2.02/2.39 }.
% 2.02/2.39 parent0: (1109) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 2.02/2.39 skol2 ) }.
% 2.02/2.39 parent0: (1110) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2
% 2.02/2.39 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 2.02/2.39 skol3 ) }.
% 2.02/2.39 parent0: (1111) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3
% 2.02/2.39 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1,
% 2.02/2.39 intersection_point( skol2, skol3 ) ) }.
% 2.02/2.39 parent0: (1112) {G0,W5,D3,L1,V0,M1} { distinct_points( skol1,
% 2.02/2.39 intersection_point( skol2, skol3 ) ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1188) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 2.02/2.39 distinct_points( X, Y ) }.
% 2.02/2.39 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.02/2.39 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 2.02/2.39 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 2.02/2.39 distinct_points( X, Y ) }.
% 2.02/2.39 parent0: (1188) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 2.02/2.39 distinct_points( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := Y
% 2.02/2.39 Y := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 1
% 2.02/2.39 1 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1190) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 2.02/2.39 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 2.02/2.39 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 parent0: (1190) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := Y
% 2.02/2.39 Y := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 1
% 2.02/2.39 1 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1192) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 parent0[0]: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := Y
% 2.02/2.39 Y := X
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (33) {G2,W6,D2,L2,V2,M1} R(13,30) { ! convergent_lines( X, Y )
% 2.02/2.39 , distinct_lines( Y, X ) }.
% 2.02/2.39 parent0: (1192) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 1
% 2.02/2.39 1 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1193) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 2.02/2.39 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 2.02/2.39 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 parent0: (1193) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := Y
% 2.02/2.39 Y := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 1
% 2.02/2.39 1 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1195) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 )
% 2.02/2.39 }.
% 2.02/2.39 parent0[0]: (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 2.02/2.39 convergent_lines( X, Y ) }.
% 2.02/2.39 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 2.02/2.39 }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := skol3
% 2.02/2.39 Y := skol2
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (41) {G2,W3,D2,L1,V0,M1} R(38,15) { convergent_lines( skol3,
% 2.02/2.39 skol2 ) }.
% 2.02/2.39 parent0: (1195) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1199) {G1,W15,D2,L5,V2,M5} { ! distinct_points( skol1, X ), !
% 2.02/2.39 distinct_lines( skol2, Y ), apart_point_and_line( skol1, Y ),
% 2.02/2.39 apart_point_and_line( X, skol2 ), apart_point_and_line( X, Y ) }.
% 2.02/2.39 parent0[0]: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 2.02/2.39 skol2 ) }.
% 2.02/2.39 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 2.02/2.39 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 2.02/2.39 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 2.02/2.39 apart_point_and_line( X, Z ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := skol1
% 2.02/2.39 Y := X
% 2.02/2.39 Z := skol2
% 2.02/2.39 T := Y
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (99) {G1,W15,D2,L5,V2,M3} R(10,16) { ! distinct_points( skol1
% 2.02/2.39 , X ), ! distinct_lines( skol2, Y ), apart_point_and_line( X, skol2 ),
% 2.02/2.39 apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ) }.
% 2.02/2.39 parent0: (1199) {G1,W15,D2,L5,V2,M5} { ! distinct_points( skol1, X ), !
% 2.02/2.39 distinct_lines( skol2, Y ), apart_point_and_line( skol1, Y ),
% 2.02/2.39 apart_point_and_line( X, skol2 ), apart_point_and_line( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 2 ==> 4
% 2.02/2.39 3 ==> 2
% 2.02/2.39 4 ==> 3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1205) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 2.02/2.39 , ! apart_point_and_line( T, Y ) }.
% 2.02/2.39 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 2.02/2.39 ( Z, Y ) }.
% 2.02/2.39 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := T
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (121) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 2.02/2.39 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 2.02/2.39 ) ), ! apart_point_and_line( X, Z ) }.
% 2.02/2.39 parent0: (1205) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 2.02/2.39 , ! apart_point_and_line( T, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := T
% 2.02/2.39 Y := Z
% 2.02/2.39 Z := Y
% 2.02/2.39 T := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 1
% 2.02/2.39 1 ==> 2
% 2.02/2.39 2 ==> 0
% 2.02/2.39 3 ==> 3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1207) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 2.02/2.39 , ! apart_point_and_line( T, X ) }.
% 2.02/2.39 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 2.02/2.39 ( Z, X ) }.
% 2.02/2.39 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := T
% 2.02/2.39 Y := X
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (122) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 2.02/2.39 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 2.02/2.39 ) ), ! apart_point_and_line( X, Z ) }.
% 2.02/2.39 parent0: (1207) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 2.02/2.39 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 2.02/2.39 , ! apart_point_and_line( T, X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := Z
% 2.02/2.39 Y := T
% 2.02/2.39 Z := Y
% 2.02/2.39 T := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 1
% 2.02/2.39 1 ==> 2
% 2.02/2.39 2 ==> 0
% 2.02/2.39 3 ==> 3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1209) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol1 ), !
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 2.02/2.39 skol3 ) }.
% 2.02/2.39 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := skol3
% 2.02/2.39 Z := skol1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (126) {G1,W6,D2,L2,V1,M1} R(11,17) { distinct_points( X, skol1
% 2.02/2.39 ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0: (1209) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol1 ), !
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 factor: (1210) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 2.02/2.39 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.02/2.39 parent0[0, 2]: (122) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 2.02/2.39 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 2.02/2.39 T ) ), ! apart_point_and_line( X, Z ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := intersection_point( X, Y )
% 2.02/2.39 Y := intersection_point( X, Y )
% 2.02/2.39 Z := X
% 2.02/2.39 T := Y
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1211) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.02/2.39 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.02/2.39 parent1[0]: (1210) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 2.02/2.39 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 2.02/2.39 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 2.02/2.39 Y ), X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := intersection_point( X, Y )
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (129) {G2,W8,D3,L2,V2,M1} F(122);r(0) { ! convergent_lines( X
% 2.02/2.39 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.02/2.39 parent0: (1211) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 factor: (1212) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 2.02/2.39 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.02/2.39 parent0[0, 2]: (121) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 2.02/2.39 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 2.02/2.39 Z ) ), ! apart_point_and_line( X, Z ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := intersection_point( X, Y )
% 2.02/2.39 Y := intersection_point( X, Y )
% 2.02/2.39 Z := Y
% 2.02/2.39 T := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1213) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.02/2.39 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.02/2.39 parent1[0]: (1212) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 2.02/2.39 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 2.02/2.39 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 2.02/2.39 Y ), Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := intersection_point( X, Y )
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (130) {G2,W8,D3,L2,V2,M1} F(121);r(0) { ! convergent_lines( X
% 2.02/2.39 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.02/2.39 parent0: (1213) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 2.02/2.39 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1214) {G1,W9,D2,L3,V2,M3} { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 2.02/2.39 parent0[1]: (126) {G1,W6,D2,L2,V1,M1} R(11,17) { distinct_points( X, skol1
% 2.02/2.39 ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := Y
% 2.02/2.39 Y := skol3
% 2.02/2.39 Z := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (132) {G2,W9,D2,L3,V2,M1} R(126,11) { distinct_points( X,
% 2.02/2.39 skol1 ), distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 2.02/2.39 parent0: (1214) {G1,W9,D2,L3,V2,M3} { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 2 ==> 2
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1216) {G1,W12,D2,L4,V3,M4} { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 2.02/2.39 ( Z, skol3 ) }.
% 2.02/2.39 parent0[2]: (132) {G2,W9,D2,L3,V2,M1} R(126,11) { distinct_points( X, skol1
% 2.02/2.39 ), distinct_points( Y, X ), ! apart_point_and_line( Y, skol3 ) }.
% 2.02/2.39 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 2.02/2.39 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := Z
% 2.02/2.39 Y := skol3
% 2.02/2.39 Z := Y
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (269) {G3,W12,D2,L4,V3,M1} R(132,11) { distinct_points( X,
% 2.02/2.39 skol1 ), distinct_points( Y, X ), distinct_points( Z, Y ), !
% 2.02/2.39 apart_point_and_line( Z, skol3 ) }.
% 2.02/2.39 parent0: (1216) {G1,W12,D2,L4,V3,M4} { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( Y, X ), distinct_points( Z, Y ), ! apart_point_and_line
% 2.02/2.39 ( Z, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := Y
% 2.02/2.39 Z := Z
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 2 ==> 2
% 2.02/2.39 3 ==> 3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 factor: (1222) {G3,W9,D2,L3,V1,M3} { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0[0, 2]: (269) {G3,W12,D2,L4,V3,M1} R(132,11) { distinct_points( X,
% 2.02/2.39 skol1 ), distinct_points( Y, X ), distinct_points( Z, Y ), !
% 2.02/2.39 apart_point_and_line( Z, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := skol1
% 2.02/2.39 Z := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1228) {G2,W9,D2,L3,V1,M3} { distinct_points( skol1, X ),
% 2.02/2.39 distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 2.02/2.39 distinct_points( X, Y ) }.
% 2.02/2.39 parent1[0]: (1222) {G3,W9,D2,L3,V1,M3} { distinct_points( X, skol1 ),
% 2.02/2.39 distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := skol1
% 2.02/2.39 Y := X
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 factor: (1230) {G2,W6,D2,L2,V1,M2} { distinct_points( skol1, X ), !
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0[0, 1]: (1228) {G2,W9,D2,L3,V1,M3} { distinct_points( skol1, X ),
% 2.02/2.39 distinct_points( skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (270) {G4,W6,D2,L2,V1,M1} F(269);r(21) { distinct_points(
% 2.02/2.39 skol1, X ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0: (1230) {G2,W6,D2,L2,V1,M2} { distinct_points( skol1, X ), !
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1237) {G2,W15,D2,L5,V1,M5} { distinct_points( skol1, skol1 )
% 2.02/2.39 , ! distinct_points( skol1, X ), ! distinct_lines( skol2, skol3 ),
% 2.02/2.39 apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0[1]: (270) {G4,W6,D2,L2,V1,M1} F(269);r(21) { distinct_points( skol1
% 2.02/2.39 , X ), ! apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent1[4]: (99) {G1,W15,D2,L5,V2,M3} R(10,16) { ! distinct_points( skol1,
% 2.02/2.39 X ), ! distinct_lines( skol2, Y ), apart_point_and_line( X, skol2 ),
% 2.02/2.39 apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := skol1
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 Y := skol3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1238) {G1,W12,D2,L4,V1,M4} { ! distinct_points( skol1, X ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol2 ),
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.02/2.39 parent1[0]: (1237) {G2,W15,D2,L5,V1,M5} { distinct_points( skol1, skol1 )
% 2.02/2.39 , ! distinct_points( skol1, X ), ! distinct_lines( skol2, skol3 ),
% 2.02/2.39 apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := skol1
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (700) {G5,W12,D2,L4,V1,M1} R(99,270);r(0) { ! distinct_points
% 2.02/2.39 ( skol1, X ), ! distinct_lines( skol2, skol3 ), apart_point_and_line( X,
% 2.02/2.39 skol2 ), apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 parent0: (1238) {G1,W12,D2,L4,V1,M4} { ! distinct_points( skol1, X ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol2 ),
% 2.02/2.39 apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 2 ==> 2
% 2.02/2.39 3 ==> 3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1240) {G3,W16,D3,L4,V1,M4} { ! convergent_lines( X, skol3 ),
% 2.02/2.39 ! distinct_points( skol1, intersection_point( X, skol3 ) ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ), apart_point_and_line( intersection_point
% 2.02/2.39 ( X, skol3 ), skol2 ) }.
% 2.02/2.39 parent0[1]: (130) {G2,W8,D3,L2,V2,M1} F(121);r(0) { ! convergent_lines( X,
% 2.02/2.39 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.02/2.39 parent1[3]: (700) {G5,W12,D2,L4,V1,M1} R(99,270);r(0) { ! distinct_points(
% 2.02/2.39 skol1, X ), ! distinct_lines( skol2, skol3 ), apart_point_and_line( X,
% 2.02/2.39 skol2 ), apart_point_and_line( X, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 Y := skol3
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := intersection_point( X, skol3 )
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (713) {G6,W16,D3,L4,V1,M1} R(700,130) { ! distinct_points(
% 2.02/2.39 skol1, intersection_point( X, skol3 ) ), ! distinct_lines( skol2, skol3 )
% 2.02/2.39 , ! convergent_lines( X, skol3 ), apart_point_and_line(
% 2.02/2.39 intersection_point( X, skol3 ), skol2 ) }.
% 2.02/2.39 parent0: (1240) {G3,W16,D3,L4,V1,M4} { ! convergent_lines( X, skol3 ), !
% 2.02/2.39 distinct_points( skol1, intersection_point( X, skol3 ) ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ), apart_point_and_line( intersection_point
% 2.02/2.39 ( X, skol3 ), skol2 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := X
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 2
% 2.02/2.39 1 ==> 0
% 2.02/2.39 2 ==> 1
% 2.02/2.39 3 ==> 3
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1241) {G3,W14,D3,L4,V0,M4} { ! convergent_lines( skol2, skol3
% 2.02/2.39 ), ! distinct_points( skol1, intersection_point( skol2, skol3 ) ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, skol3 ) }.
% 2.02/2.39 parent0[1]: (129) {G2,W8,D3,L2,V2,M1} F(122);r(0) { ! convergent_lines( X,
% 2.02/2.39 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.02/2.39 parent1[3]: (713) {G6,W16,D3,L4,V1,M1} R(700,130) { ! distinct_points(
% 2.02/2.39 skol1, intersection_point( X, skol3 ) ), ! distinct_lines( skol2, skol3 )
% 2.02/2.39 , ! convergent_lines( X, skol3 ), apart_point_and_line(
% 2.02/2.39 intersection_point( X, skol3 ), skol2 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 X := skol2
% 2.02/2.39 Y := skol3
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := skol2
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1243) {G1,W9,D2,L3,V0,M3} { ! convergent_lines( skol2, skol3
% 2.02/2.39 ), ! distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, skol3 )
% 2.02/2.39 }.
% 2.02/2.39 parent0[1]: (1241) {G3,W14,D3,L4,V0,M4} { ! convergent_lines( skol2, skol3
% 2.02/2.39 ), ! distinct_points( skol1, intersection_point( skol2, skol3 ) ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ), ! convergent_lines( skol2, skol3 ) }.
% 2.02/2.39 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1,
% 2.02/2.39 intersection_point( skol2, skol3 ) ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 factor: (1244) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol2, skol3 ), !
% 2.02/2.39 distinct_lines( skol2, skol3 ) }.
% 2.02/2.39 parent0[0, 2]: (1243) {G1,W9,D2,L3,V0,M3} { ! convergent_lines( skol2,
% 2.02/2.39 skol3 ), ! distinct_lines( skol2, skol3 ), ! convergent_lines( skol2,
% 2.02/2.39 skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (900) {G7,W6,D2,L2,V0,M1} R(713,129);f;r(18) { !
% 2.02/2.39 convergent_lines( skol2, skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 2.02/2.39 parent0: (1244) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol2, skol3 ),
% 2.02/2.39 ! distinct_lines( skol2, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 1 ==> 1
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1245) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol3 )
% 2.02/2.39 }.
% 2.02/2.39 parent0[0]: (900) {G7,W6,D2,L2,V0,M1} R(713,129);f;r(18) { !
% 2.02/2.39 convergent_lines( skol2, skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 2.02/2.39 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 2.02/2.39 }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (901) {G8,W3,D2,L1,V0,M1} S(900);r(15) { ! distinct_lines(
% 2.02/2.39 skol2, skol3 ) }.
% 2.02/2.39 parent0: (1245) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol3 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 0 ==> 0
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1246) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol2
% 2.02/2.39 ) }.
% 2.02/2.39 parent0[0]: (901) {G8,W3,D2,L1,V0,M1} S(900);r(15) { ! distinct_lines(
% 2.02/2.39 skol2, skol3 ) }.
% 2.02/2.39 parent1[1]: (33) {G2,W6,D2,L2,V2,M1} R(13,30) { ! convergent_lines( X, Y )
% 2.02/2.39 , distinct_lines( Y, X ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 X := skol3
% 2.02/2.39 Y := skol2
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 resolution: (1247) {G3,W0,D0,L0,V0,M0} { }.
% 2.02/2.39 parent0[0]: (1246) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol2
% 2.02/2.39 ) }.
% 2.02/2.39 parent1[0]: (41) {G2,W3,D2,L1,V0,M1} R(38,15) { convergent_lines( skol3,
% 2.02/2.39 skol2 ) }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 substitution1:
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 subsumption: (1092) {G9,W0,D0,L0,V0,M0} R(901,33);r(41) { }.
% 2.02/2.39 parent0: (1247) {G3,W0,D0,L0,V0,M0} { }.
% 2.02/2.39 substitution0:
% 2.02/2.39 end
% 2.02/2.39 permutation0:
% 2.02/2.39 end
% 2.02/2.39
% 2.02/2.39 Proof check complete!
% 2.02/2.39
% 2.02/2.39 Memory use:
% 2.02/2.39
% 2.02/2.39 space for terms: 15468
% 2.02/2.39 space for clauses: 38729
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 clauses generated: 111655
% 2.02/2.39 clauses kept: 1093
% 2.02/2.39 clauses selected: 724
% 2.02/2.39 clauses deleted: 10
% 2.02/2.39 clauses inuse deleted: 0
% 2.02/2.39
% 2.02/2.39 subsentry: 116870
% 2.02/2.39 literals s-matched: 87512
% 2.02/2.39 literals matched: 87477
% 2.02/2.39 full subsumption: 68557
% 2.02/2.39
% 2.02/2.39 checksum: -3105572
% 2.02/2.39
% 2.02/2.39
% 2.02/2.39 Bliksem ended
%------------------------------------------------------------------------------