%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:52:47 EDT 2022
% Result : Theorem 0.72s 1.43s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 18:12:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.43 *** allocated 10000 integers for termspace/termends
% 0.72/1.43 *** allocated 10000 integers for clauses
% 0.72/1.43 *** allocated 10000 integers for justifications
% 0.72/1.43 Bliksem 1.12
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Automatic Strategy Selection
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Clauses:
% 0.72/1.43
% 0.72/1.43 { ! distinct_points( X, X ) }.
% 0.72/1.43 { ! distinct_lines( X, X ) }.
% 0.72/1.43 { ! convergent_lines( X, X ) }.
% 0.72/1.43 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.43 ) }.
% 0.72/1.43 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.43 }.
% 0.72/1.43 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.72/1.43 , Z ) }.
% 0.72/1.43 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.72/1.43 , Y ) ) }.
% 0.72/1.43 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.72/1.43 , Y ) ) }.
% 0.72/1.43 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.72/1.43 , Y ), X ) }.
% 0.72/1.43 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.72/1.43 , Y ), Y ) }.
% 0.72/1.43 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.72/1.43 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.72/1.43 apart_point_and_line( Y, T ) }.
% 0.72/1.43 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.72/1.43 apart_point_and_line( Z, Y ) }.
% 0.72/1.43 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.72/1.43 apart_point_and_line( X, Z ) }.
% 0.72/1.43 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.72/1.43 Z ) }.
% 0.72/1.43 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.72/1.43 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.72/1.43 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.72/1.43 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.72/1.43 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.72/1.43 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.72/1.43 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.72/1.43 , convergent_lines( Y, Z ) }.
% 0.72/1.43 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.72/1.43 , unorthogonal_lines( Y, Z ) }.
% 0.72/1.43 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 0.72/1.43 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.72/1.43 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 0.72/1.43 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 0.72/1.43 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.72/1.43 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 0.72/1.43 unorthogonal_lines( Y, T ) }.
% 0.72/1.43 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.72/1.43 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 0.72/1.43 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 0.72/1.43 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.72/1.43 line_connecting( X, Y ) ) }.
% 0.72/1.43 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 0.72/1.43 intersection_point( X, Y ) ) }.
% 0.72/1.43 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 0.72/1.43 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 0.72/1.43 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 0.72/1.43 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 0.72/1.43 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 0.72/1.43 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 0.72/1.43 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 0.72/1.43 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.43 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 0.72/1.43 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.72/1.43 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 0.72/1.43 { incident_point_and_line( skol1, skol2 ) }.
% 0.72/1.43 { orthogonal_lines( skol2, skol3 ) }.
% 0.72/1.43 { ! equal_lines( skol2, orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43
% 0.72/1.43 percentage equality = 0.000000, percentage horn = 0.612245
% 0.72/1.43 This a non-horn, non-equality problem
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Options Used:
% 0.72/1.43
% 0.72/1.43 useres = 1
% 0.72/1.43 useparamod = 0
% 0.72/1.43 useeqrefl = 0
% 0.72/1.43 useeqfact = 0
% 0.72/1.43 usefactor = 1
% 0.72/1.43 usesimpsplitting = 0
% 0.72/1.43 usesimpdemod = 0
% 0.72/1.43 usesimpres = 3
% 0.72/1.43
% 0.72/1.43 resimpinuse = 1000
% 0.72/1.43 resimpclauses = 20000
% 0.72/1.43 substype = standard
% 0.72/1.43 backwardsubs = 1
% 0.72/1.43 selectoldest = 5
% 0.72/1.43
% 0.72/1.43 litorderings [0] = split
% 0.72/1.43 litorderings [1] = liftord
% 0.72/1.43
% 0.72/1.43 termordering = none
% 0.72/1.43
% 0.72/1.43 litapriori = 1
% 0.72/1.43 termapriori = 0
% 0.72/1.43 litaposteriori = 0
% 0.72/1.43 termaposteriori = 0
% 0.72/1.43 demodaposteriori = 0
% 0.72/1.43 ordereqreflfact = 0
% 0.72/1.43
% 0.72/1.43 litselect = none
% 0.72/1.43
% 0.72/1.43 maxweight = 15
% 0.72/1.43 maxdepth = 30000
% 0.72/1.43 maxlength = 115
% 0.72/1.43 maxnrvars = 195
% 0.72/1.43 excuselevel = 1
% 0.72/1.43 increasemaxweight = 1
% 0.72/1.43
% 0.72/1.43 maxselected = 10000000
% 0.72/1.43 maxnrclauses = 10000000
% 0.72/1.43
% 0.72/1.43 showgenerated = 0
% 0.72/1.43 showkept = 0
% 0.72/1.43 showselected = 0
% 0.72/1.43 showdeleted = 0
% 0.72/1.43 showresimp = 1
% 0.72/1.43 showstatus = 2000
% 0.72/1.43
% 0.72/1.43 prologoutput = 0
% 0.72/1.43 nrgoals = 5000000
% 0.72/1.43 totalproof = 1
% 0.72/1.43
% 0.72/1.43 Symbols occurring in the translation:
% 0.72/1.43
% 0.72/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.43 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.43 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.43 distinct_points [36, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.43 distinct_lines [37, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.43 convergent_lines [38, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.43 line_connecting [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.43 apart_point_and_line [42, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.43 intersection_point [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.43 parallel_through_point [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.43 unorthogonal_lines [49, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.43 orthogonal_through_point [52, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.43 point [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.43 line [55, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.43 equal_points [56, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.43 equal_lines [57, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.43 parallel_lines [58, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.43 incident_point_and_line [59, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.43 orthogonal_lines [60, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.43 alpha1 [61, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.43 alpha2 [62, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.43 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.43 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.43 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Starting Search:
% 0.72/1.43
% 0.72/1.43 *** allocated 15000 integers for clauses
% 0.72/1.43 *** allocated 22500 integers for clauses
% 0.72/1.43 *** allocated 33750 integers for clauses
% 0.72/1.43 *** allocated 15000 integers for termspace/termends
% 0.72/1.43 *** allocated 50625 integers for clauses
% 0.72/1.43 Resimplifying inuse:
% 0.72/1.43 Done
% 0.72/1.43
% 0.72/1.43 *** allocated 22500 integers for termspace/termends
% 0.72/1.43 *** allocated 75937 integers for clauses
% 0.72/1.43 *** allocated 33750 integers for termspace/termends
% 0.72/1.43 *** allocated 113905 integers for clauses
% 0.72/1.43
% 0.72/1.43 Intermediate Status:
% 0.72/1.43 Generated: 13715
% 0.72/1.43 Kept: 2050
% 0.72/1.43 Inuse: 341
% 0.72/1.43 Deleted: 2
% 0.72/1.43 Deletedinuse: 1
% 0.72/1.43
% 0.72/1.43 Resimplifying inuse:
% 0.72/1.43 Done
% 0.72/1.43
% 0.72/1.43 *** allocated 50625 integers for termspace/termends
% 0.72/1.43 *** allocated 170857 integers for clauses
% 0.72/1.43 Resimplifying inuse:
% 0.72/1.43 Done
% 0.72/1.43
% 0.72/1.43 *** allocated 75937 integers for termspace/termends
% 0.72/1.43
% 0.72/1.43 Intermediate Status:
% 0.72/1.43 Generated: 31543
% 0.72/1.43 Kept: 4075
% 0.72/1.43 Inuse: 472
% 0.72/1.43 Deleted: 3
% 0.72/1.43 Deletedinuse: 1
% 0.72/1.43
% 0.72/1.43 Resimplifying inuse:
% 0.72/1.43 Done
% 0.72/1.43
% 0.72/1.43 *** allocated 256285 integers for clauses
% 0.72/1.43
% 0.72/1.43 Bliksems!, er is een bewijs:
% 0.72/1.43 % SZS status Theorem
% 0.72/1.43 % SZS output start Refutation
% 0.72/1.43
% 0.72/1.43 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.72/1.43 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.72/1.43 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.43 , ! distinct_lines( X, Y ) }.
% 0.72/1.43 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.72/1.43 Z ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! distinct_lines( X
% 0.72/1.43 , Y ) }.
% 0.72/1.43 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 0.72/1.43 X, Y ) }.
% 0.72/1.43 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.72/1.43 }.
% 0.72/1.43 (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), ! alpha1( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 0.72/1.43 ( Y, X ), Y ) }.
% 0.72/1.43 (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ), unorthogonal_lines
% 0.72/1.43 ( Z, X ), unorthogonal_lines( Z, Y ) }.
% 0.72/1.43 (39) {G0,W6,D2,L2,V2,M1} I { distinct_lines( X, Y ), equal_lines( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol2, skol3 ) }.
% 0.72/1.43 (48) {G0,W5,D3,L1,V0,M1} I { ! equal_lines( skol2, orthogonal_through_point
% 0.72/1.43 ( skol3, skol1 ) ) }.
% 0.72/1.43 (54) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 (71) {G1,W5,D3,L1,V0,M1} R(39,48) { distinct_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 (72) {G2,W5,D3,L1,V0,M1} R(71,54) { distinct_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 (123) {G3,W5,D3,L1,V0,M1} R(14,72) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 (128) {G4,W8,D3,L2,V1,M1} R(123,5) { convergent_lines( skol2, X ),
% 0.72/1.43 convergent_lines( orthogonal_through_point( skol3, skol1 ), X ) }.
% 0.72/1.43 (166) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 (469) {G5,W8,D3,L2,V1,M2} R(128,64) { convergent_lines( X,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ), convergent_lines( skol2, X )
% 0.72/1.43 }.
% 0.72/1.43 (477) {G6,W8,D3,L2,V1,M1} R(469,64) { convergent_lines( X, skol2 ),
% 0.72/1.43 convergent_lines( X, orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 (491) {G7,W8,D3,L2,V1,M2} R(477,64) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( X, skol2
% 0.72/1.43 ) }.
% 0.72/1.43 (3593) {G2,W15,D2,L5,V4,M3} R(166,31) { ! convergent_lines( X, Y ), !
% 0.72/1.43 convergent_lines( Y, T ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 0.72/1.43 ( X, T ), unorthogonal_lines( X, Z ) }.
% 0.72/1.43 (3604) {G3,W9,D2,L3,V3,M2} F(3593);r(17) { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 0.72/1.43 (4365) {G4,W8,D3,L2,V3,M1} R(3604,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 0.72/1.43 (4371) {G5,W8,D3,L2,V3,M1} R(4365,44) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), ! orthogonal_lines( Z, X ) }.
% 0.72/1.43 (4372) {G5,W7,D3,L1,V3,M1} R(4365,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 0.72/1.43 (4421) {G8,W5,D3,L1,V1,M1} R(4372,491) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 (4480) {G9,W0,D0,L0,V0,M0} R(4371,47);r(4421) { }.
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 % SZS output end Refutation
% 0.72/1.43 found a proof!
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Unprocessed initial clauses:
% 0.72/1.43
% 0.72/1.43 (4482) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.43 (4483) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.43 (4484) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.72/1.43 (4485) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.43 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.43 (4486) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.72/1.43 Z ), distinct_lines( Y, Z ) }.
% 0.72/1.43 (4487) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.72/1.43 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.72/1.43 (4488) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.43 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.43 (4489) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.43 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.72/1.43 (4490) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.72/1.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.72/1.43 (4491) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.72/1.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.72/1.43 (4492) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.72/1.43 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.72/1.43 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.72/1.43 (4493) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.43 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.72/1.43 (4494) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.43 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.72/1.43 (4495) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.72/1.43 , Z ), convergent_lines( X, Z ) }.
% 0.72/1.43 (4496) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines( X
% 0.72/1.43 , Y ) }.
% 0.72/1.43 (4497) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.72/1.43 , X ), Y ) }.
% 0.72/1.43 (4498) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.72/1.43 parallel_through_point( Y, X ) ) }.
% 0.72/1.43 (4499) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.72/1.43 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 (4500) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 (4501) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 0.72/1.43 (4502) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.72/1.43 }.
% 0.72/1.43 (4503) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 (4504) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 (4505) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 0.72/1.43 (4506) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 0.72/1.43 orthogonal_through_point( Y, X ), Y ) }.
% 0.72/1.43 (4507) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.72/1.43 orthogonal_through_point( Y, X ) ) }.
% 0.72/1.43 (4508) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 0.72/1.43 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.72/1.43 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 0.72/1.43 (4509) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 (4510) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 0.72/1.43 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.72/1.43 (4511) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y ),
% 0.72/1.43 ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.72/1.43 (4512) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X )
% 0.72/1.43 }.
% 0.72/1.43 (4513) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 0.72/1.43 }.
% 0.72/1.43 (4514) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 0.72/1.43 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 0.72/1.43 (4515) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 0.72/1.43 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 (4516) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 0.72/1.43 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.72/1.43 (4517) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), ! convergent_lines
% 0.72/1.43 ( X, Y ), point( intersection_point( X, Y ) ) }.
% 0.72/1.43 (4518) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.72/1.43 parallel_through_point( X, Y ) ) }.
% 0.72/1.43 (4519) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.72/1.43 orthogonal_through_point( X, Y ) ) }.
% 0.72/1.43 (4520) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X
% 0.72/1.43 , Y ) }.
% 0.72/1.43 (4521) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 (4522) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X, Y
% 0.72/1.43 ) }.
% 0.72/1.43 (4523) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 0.72/1.43 }.
% 0.72/1.43 (4524) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 (4525) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X,
% 0.72/1.43 Y ) }.
% 0.72/1.43 (4526) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 0.72/1.43 apart_point_and_line( X, Y ) }.
% 0.72/1.43 (4527) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 0.72/1.43 incident_point_and_line( X, Y ) }.
% 0.72/1.43 (4528) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 (4529) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 (4530) {G0,W3,D2,L1,V0,M1} { incident_point_and_line( skol1, skol2 ) }.
% 0.72/1.43 (4531) {G0,W3,D2,L1,V0,M1} { orthogonal_lines( skol2, skol3 ) }.
% 0.72/1.43 (4532) {G0,W5,D3,L1,V0,M1} { ! equal_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Total Proof:
% 0.72/1.43
% 0.72/1.43 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.72/1.43 parent0: (4483) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.72/1.43 parent0: (4484) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.72/1.43 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.72/1.43 parent0: (4486) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.72/1.43 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 2
% 0.72/1.43 1 ==> 0
% 0.72/1.43 2 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.72/1.43 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 parent0: (4487) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.72/1.43 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 2
% 0.72/1.43 1 ==> 0
% 0.72/1.43 2 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 0.72/1.43 distinct_lines( X, Y ) }.
% 0.72/1.43 parent0: (4496) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 parent0: (4500) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.72/1.43 }.
% 0.72/1.43 parent0: (4502) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.72/1.43 }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 2 ==> 3
% 0.72/1.43 3 ==> 2
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 0.72/1.43 alpha1( X, Y ) }.
% 0.72/1.43 parent0: (4504) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 0.72/1.43 orthogonal_through_point( Y, X ), Y ) }.
% 0.72/1.43 parent0: (4506) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 0.72/1.43 orthogonal_through_point( Y, X ), Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 0.72/1.43 parent0: (4515) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 0.72/1.43 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 2
% 0.72/1.43 2 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (39) {G0,W6,D2,L2,V2,M1} I { distinct_lines( X, Y ),
% 0.72/1.43 equal_lines( X, Y ) }.
% 0.72/1.43 parent0: (4523) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines
% 0.72/1.43 ( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 parent0: (4528) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol2, skol3 )
% 0.72/1.43 }.
% 0.72/1.43 parent0: (4531) {G0,W3,D2,L1,V0,M1} { orthogonal_lines( skol2, skol3 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (48) {G0,W5,D3,L1,V0,M1} I { ! equal_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 parent0: (4532) {G0,W5,D3,L1,V0,M1} { ! equal_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4660) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.72/1.43 distinct_lines( X, Y ) }.
% 0.72/1.43 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.72/1.43 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.72/1.43 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (54) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.72/1.43 distinct_lines( X, Y ) }.
% 0.72/1.43 parent0: (4660) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.72/1.43 distinct_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4662) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.72/1.43 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.72/1.43 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 parent0: (4662) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4664) {G1,W5,D3,L1,V0,M1} { distinct_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 parent0[0]: (48) {G0,W5,D3,L1,V0,M1} I { ! equal_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 parent1[1]: (39) {G0,W6,D2,L2,V2,M1} I { distinct_lines( X, Y ),
% 0.72/1.43 equal_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := skol2
% 0.72/1.43 Y := orthogonal_through_point( skol3, skol1 )
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (71) {G1,W5,D3,L1,V0,M1} R(39,48) { distinct_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 parent0: (4664) {G1,W5,D3,L1,V0,M1} { distinct_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4665) {G2,W5,D3,L1,V0,M1} { distinct_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 parent0[0]: (54) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.72/1.43 distinct_lines( X, Y ) }.
% 0.72/1.43 parent1[0]: (71) {G1,W5,D3,L1,V0,M1} R(39,48) { distinct_lines( skol2,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := orthogonal_through_point( skol3, skol1 )
% 0.72/1.43 Y := skol2
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (72) {G2,W5,D3,L1,V0,M1} R(71,54) { distinct_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 parent0: (4665) {G2,W5,D3,L1,V0,M1} { distinct_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4666) {G1,W5,D3,L1,V0,M1} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 parent0[1]: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 0.72/1.43 distinct_lines( X, Y ) }.
% 0.72/1.43 parent1[0]: (72) {G2,W5,D3,L1,V0,M1} R(71,54) { distinct_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := orthogonal_through_point( skol3, skol1 )
% 0.72/1.43 Y := skol2
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (123) {G3,W5,D3,L1,V0,M1} R(14,72) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 parent0: (4666) {G1,W5,D3,L1,V0,M1} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4667) {G1,W8,D3,L2,V1,M2} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( skol2, X
% 0.72/1.43 ) }.
% 0.72/1.43 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.72/1.43 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.72/1.43 parent1[0]: (123) {G3,W5,D3,L1,V0,M1} R(14,72) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), skol2 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := orthogonal_through_point( skol3, skol1 )
% 0.72/1.43 Y := skol2
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (128) {G4,W8,D3,L2,V1,M1} R(123,5) { convergent_lines( skol2,
% 0.72/1.43 X ), convergent_lines( orthogonal_through_point( skol3, skol1 ), X ) }.
% 0.72/1.43 parent0: (4667) {G1,W8,D3,L2,V1,M2} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( skol2, X
% 0.72/1.43 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4669) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 0.72/1.43 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 0.72/1.43 unorthogonal_lines( Z, Y ) }.
% 0.72/1.43 parent0[1]: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 0.72/1.43 alpha1( X, Y ) }.
% 0.72/1.43 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.72/1.43 }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Z
% 0.72/1.43 Z := Y
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (166) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 0.72/1.43 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 parent0: (4669) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 0.72/1.43 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 0.72/1.43 unorthogonal_lines( Z, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Z
% 0.72/1.43 Z := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 2
% 0.72/1.43 1 ==> 0
% 0.72/1.43 2 ==> 3
% 0.72/1.43 3 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4672) {G2,W8,D3,L2,V1,M2} { convergent_lines( X,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ), convergent_lines( skol2, X )
% 0.72/1.43 }.
% 0.72/1.43 parent0[0]: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 parent1[1]: (128) {G4,W8,D3,L2,V1,M1} R(123,5) { convergent_lines( skol2, X
% 0.72/1.43 ), convergent_lines( orthogonal_through_point( skol3, skol1 ), X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := orthogonal_through_point( skol3, skol1 )
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (469) {G5,W8,D3,L2,V1,M2} R(128,64) { convergent_lines( X,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ), convergent_lines( skol2, X )
% 0.72/1.43 }.
% 0.72/1.43 parent0: (4672) {G2,W8,D3,L2,V1,M2} { convergent_lines( X,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ), convergent_lines( skol2, X )
% 0.72/1.43 }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4674) {G2,W8,D3,L2,V1,M2} { convergent_lines( X, skol2 ),
% 0.72/1.43 convergent_lines( X, orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 parent0[0]: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 parent1[1]: (469) {G5,W8,D3,L2,V1,M2} R(128,64) { convergent_lines( X,
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ) ), convergent_lines( skol2, X )
% 0.72/1.43 }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := skol2
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (477) {G6,W8,D3,L2,V1,M1} R(469,64) { convergent_lines( X,
% 0.72/1.43 skol2 ), convergent_lines( X, orthogonal_through_point( skol3, skol1 ) )
% 0.72/1.43 }.
% 0.72/1.43 parent0: (4674) {G2,W8,D3,L2,V1,M2} { convergent_lines( X, skol2 ),
% 0.72/1.43 convergent_lines( X, orthogonal_through_point( skol3, skol1 ) ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4676) {G2,W8,D3,L2,V1,M2} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( X, skol2
% 0.72/1.43 ) }.
% 0.72/1.43 parent0[0]: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.72/1.43 convergent_lines( X, Y ) }.
% 0.72/1.43 parent1[1]: (477) {G6,W8,D3,L2,V1,M1} R(469,64) { convergent_lines( X,
% 0.72/1.43 skol2 ), convergent_lines( X, orthogonal_through_point( skol3, skol1 ) )
% 0.72/1.43 }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := orthogonal_through_point( skol3, skol1 )
% 0.72/1.43 Y := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (491) {G7,W8,D3,L2,V1,M2} R(477,64) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( X, skol2
% 0.72/1.43 ) }.
% 0.72/1.43 parent0: (4676) {G2,W8,D3,L2,V1,M2} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( X, skol2
% 0.72/1.43 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4677) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 0.72/1.43 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 0.72/1.43 parent0[3]: (166) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 0.72/1.43 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 parent1[1]: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := T
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (3593) {G2,W15,D2,L5,V4,M3} R(166,31) { ! convergent_lines( X
% 0.72/1.43 , Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 0.72/1.43 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 0.72/1.43 parent0: (4677) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 0.72/1.43 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 T := T
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 2
% 0.72/1.43 2 ==> 4
% 0.72/1.43 3 ==> 1
% 0.72/1.43 4 ==> 3
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 factor: (4692) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.72/1.43 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 0.72/1.43 ( X, Z ) }.
% 0.72/1.43 parent0[3, 4]: (3593) {G2,W15,D2,L5,V4,M3} R(166,31) { ! convergent_lines(
% 0.72/1.43 X, Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 0.72/1.43 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 T := Z
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4716) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 0.72/1.43 unorthogonal_lines( Y, Z ) }.
% 0.72/1.43 parent0[1]: (4692) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.72/1.43 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 0.72/1.43 ( X, Z ) }.
% 0.72/1.43 parent1[0]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := Z
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 factor: (4720) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 0.72/1.43 parent0[1, 3]: (4716) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 0.72/1.43 unorthogonal_lines( Y, Z ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (3604) {G3,W9,D2,L3,V3,M2} F(3593);r(17) { ! convergent_lines
% 0.72/1.43 ( X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 0.72/1.43 parent0: (4720) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.72/1.43 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 2
% 0.72/1.43 2 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4722) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 0.72/1.43 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 0.72/1.43 orthogonal_through_point( Y, X ), Y ) }.
% 0.72/1.43 parent1[1]: (3604) {G3,W9,D2,L3,V3,M2} F(3593);r(17) { ! convergent_lines(
% 0.72/1.43 X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := orthogonal_through_point( X, Y )
% 0.72/1.43 Y := Z
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (4365) {G4,W8,D3,L2,V3,M1} R(3604,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 0.72/1.43 parent0: (4722) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 Z := Z
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 1 ==> 1
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4724) {G1,W8,D3,L2,V3,M2} { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 convergent_lines( orthogonal_through_point( Y, Z ), X ) }.
% 0.72/1.43 parent0[1]: (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 unorthogonal_lines( X, Y ) }.
% 0.72/1.43 parent1[1]: (4365) {G4,W8,D3,L2,V3,M1} R(3604,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Y
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := Z
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (4371) {G5,W8,D3,L2,V3,M1} R(4365,44) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), ! orthogonal_lines( Z, X ) }.
% 0.72/1.43 parent0: (4724) {G1,W8,D3,L2,V3,M2} { ! orthogonal_lines( X, Y ), !
% 0.72/1.43 convergent_lines( orthogonal_through_point( Y, Z ), X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := Z
% 0.72/1.43 Y := X
% 0.72/1.43 Z := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 1
% 0.72/1.43 1 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4725) {G1,W7,D3,L1,V3,M1} { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Z ), orthogonal_through_point( X, Y ) ) }.
% 0.72/1.43 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 0.72/1.43 orthogonal_through_point( Y, X ), Y ) }.
% 0.72/1.43 parent1[1]: (4365) {G4,W8,D3,L2,V3,M1} R(3604,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := Y
% 0.72/1.43 Y := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Z
% 0.72/1.43 Z := orthogonal_through_point( X, Y )
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (4372) {G5,W7,D3,L1,V3,M1} R(4365,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 0.72/1.43 parent0: (4725) {G1,W7,D3,L1,V3,M1} { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Z ), orthogonal_through_point( X, Y ) ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 Y := Z
% 0.72/1.43 Z := Y
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4726) {G6,W5,D3,L1,V1,M1} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 parent0[0]: (4372) {G5,W7,D3,L1,V3,M1} R(4365,23) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 0.72/1.43 parent1[0]: (491) {G7,W8,D3,L2,V1,M2} R(477,64) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, skol1 ), X ), convergent_lines( X, skol2
% 0.72/1.43 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := skol3
% 0.72/1.43 Y := skol1
% 0.72/1.43 Z := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := orthogonal_through_point( skol3, X )
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (4421) {G8,W5,D3,L1,V1,M1} R(4372,491) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 parent0: (4726) {G6,W5,D3,L1,V1,M1} { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 0 ==> 0
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4727) {G1,W5,D3,L1,V1,M1} { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 parent0[1]: (4371) {G5,W8,D3,L2,V3,M1} R(4365,44) { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( X, Y ), Z ), ! orthogonal_lines( Z, X ) }.
% 0.72/1.43 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol2, skol3 )
% 0.72/1.43 }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := skol3
% 0.72/1.43 Y := X
% 0.72/1.43 Z := skol2
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 resolution: (4728) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.43 parent0[0]: (4727) {G1,W5,D3,L1,V1,M1} { ! convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 parent1[0]: (4421) {G8,W5,D3,L1,V1,M1} R(4372,491) { convergent_lines(
% 0.72/1.43 orthogonal_through_point( skol3, X ), skol2 ) }.
% 0.72/1.43 substitution0:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43 substitution1:
% 0.72/1.43 X := X
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 subsumption: (4480) {G9,W0,D0,L0,V0,M0} R(4371,47);r(4421) { }.
% 0.72/1.43 parent0: (4728) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.43 substitution0:
% 0.72/1.43 end
% 0.72/1.43 permutation0:
% 0.72/1.43 end
% 0.72/1.43
% 0.72/1.43 Proof check complete!
% 0.72/1.43
% 0.72/1.43 Memory use:
% 0.72/1.43
% 0.72/1.43 space for terms: 61431
% 0.72/1.43 space for clauses: 177736
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 clauses generated: 33551
% 0.72/1.43 clauses kept: 4481
% 0.72/1.43 clauses selected: 493
% 0.72/1.43 clauses deleted: 4
% 0.72/1.43 clauses inuse deleted: 2
% 0.72/1.43
% 0.72/1.43 subsentry: 567574
% 0.72/1.43 literals s-matched: 222322
% 0.72/1.43 literals matched: 222144
% 0.72/1.43 full subsumption: 136302
% 0.72/1.43
% 0.72/1.43 checksum: -795898351
% 0.72/1.43
% 0.72/1.43
% 0.72/1.43 Bliksem ended
%------------------------------------------------------------------------------