TSTP Solution File: GEO221+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 02:52:57 EDT 2022
% Result : Theorem 155.80s 156.26s
% Output : Refutation 155.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.09 % Command : bliksem %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % DateTime : Fri Jun 17 16:07:31 EDT 2022
% 0.10/0.29 % CPUTime :
% 155.80/156.26 *** allocated 10000 integers for termspace/termends
% 155.80/156.26 *** allocated 10000 integers for clauses
% 155.80/156.26 *** allocated 10000 integers for justifications
% 155.80/156.26 Bliksem 1.12
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Automatic Strategy Selection
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Clauses:
% 155.80/156.26
% 155.80/156.26 { ! distinct_points( X, X ) }.
% 155.80/156.26 { ! distinct_lines( X, X ) }.
% 155.80/156.26 { ! convergent_lines( X, X ) }.
% 155.80/156.26 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 155.80/156.26 ) }.
% 155.80/156.26 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 155.80/156.26 }.
% 155.80/156.26 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 155.80/156.26 , Z ) }.
% 155.80/156.26 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 155.80/156.26 , Y ) ) }.
% 155.80/156.26 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 155.80/156.26 , Y ) ) }.
% 155.80/156.26 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 155.80/156.26 , Y ), X ) }.
% 155.80/156.26 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 155.80/156.26 , Y ), Y ) }.
% 155.80/156.26 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 155.80/156.26 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 155.80/156.26 apart_point_and_line( Y, T ) }.
% 155.80/156.26 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 155.80/156.26 apart_point_and_line( Z, Y ) }.
% 155.80/156.26 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 155.80/156.26 apart_point_and_line( X, Z ) }.
% 155.80/156.26 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 155.80/156.26 Z ) }.
% 155.80/156.26 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 155.80/156.26 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 155.80/156.26 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 155.80/156.26 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 155.80/156.26 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 155.80/156.26 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 155.80/156.26 , convergent_lines( Y, Z ) }.
% 155.80/156.26 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 155.80/156.26 , unorthogonal_lines( Y, Z ) }.
% 155.80/156.26 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 155.80/156.26 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 155.80/156.26 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 155.80/156.26 }.
% 155.80/156.26 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 155.80/156.26 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 155.80/156.26 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 155.80/156.26 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 155.80/156.26 unorthogonal_lines( Y, T ) }.
% 155.80/156.26 { ! apart_point_and_line( skol2, orthogonal_through_point( skol3, skol1 ) )
% 155.80/156.26 }.
% 155.80/156.26 { distinct_lines( orthogonal_through_point( skol3, skol1 ),
% 155.80/156.26 orthogonal_through_point( skol3, skol2 ) ) }.
% 155.80/156.26
% 155.80/156.26 percentage equality = 0.000000, percentage horn = 0.571429
% 155.80/156.26 This a non-horn, non-equality problem
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Options Used:
% 155.80/156.26
% 155.80/156.26 useres = 1
% 155.80/156.26 useparamod = 0
% 155.80/156.26 useeqrefl = 0
% 155.80/156.26 useeqfact = 0
% 155.80/156.26 usefactor = 1
% 155.80/156.26 usesimpsplitting = 0
% 155.80/156.26 usesimpdemod = 0
% 155.80/156.26 usesimpres = 3
% 155.80/156.26
% 155.80/156.26 resimpinuse = 1000
% 155.80/156.26 resimpclauses = 20000
% 155.80/156.26 substype = standard
% 155.80/156.26 backwardsubs = 1
% 155.80/156.26 selectoldest = 5
% 155.80/156.26
% 155.80/156.26 litorderings [0] = split
% 155.80/156.26 litorderings [1] = liftord
% 155.80/156.26
% 155.80/156.26 termordering = none
% 155.80/156.26
% 155.80/156.26 litapriori = 1
% 155.80/156.26 termapriori = 0
% 155.80/156.26 litaposteriori = 0
% 155.80/156.26 termaposteriori = 0
% 155.80/156.26 demodaposteriori = 0
% 155.80/156.26 ordereqreflfact = 0
% 155.80/156.26
% 155.80/156.26 litselect = none
% 155.80/156.26
% 155.80/156.26 maxweight = 15
% 155.80/156.26 maxdepth = 30000
% 155.80/156.26 maxlength = 115
% 155.80/156.26 maxnrvars = 195
% 155.80/156.26 excuselevel = 1
% 155.80/156.26 increasemaxweight = 1
% 155.80/156.26
% 155.80/156.26 maxselected = 10000000
% 155.80/156.26 maxnrclauses = 10000000
% 155.80/156.26
% 155.80/156.26 showgenerated = 0
% 155.80/156.26 showkept = 0
% 155.80/156.26 showselected = 0
% 155.80/156.26 showdeleted = 0
% 155.80/156.26 showresimp = 1
% 155.80/156.26 showstatus = 2000
% 155.80/156.26
% 155.80/156.26 prologoutput = 0
% 155.80/156.26 nrgoals = 5000000
% 155.80/156.26 totalproof = 1
% 155.80/156.26
% 155.80/156.26 Symbols occurring in the translation:
% 155.80/156.26
% 155.80/156.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 155.80/156.26 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 155.80/156.26 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 155.80/156.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 155.80/156.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 155.80/156.26 distinct_points [36, 2] (w:1, o:49, a:1, s:1, b:0),
% 155.80/156.26 distinct_lines [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 155.80/156.26 convergent_lines [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 155.80/156.26 line_connecting [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 155.80/156.26 apart_point_and_line [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 155.80/156.26 intersection_point [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 155.80/156.26 parallel_through_point [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 155.80/156.26 unorthogonal_lines [49, 2] (w:1, o:56, a:1, s:1, b:0),
% 155.80/156.26 orthogonal_through_point [52, 2] (w:1, o:54, a:1, s:1, b:0),
% 155.80/156.26 alpha1 [54, 2] (w:1, o:57, a:1, s:1, b:0),
% 155.80/156.26 skol1 [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 155.80/156.26 skol2 [56, 0] (w:1, o:17, a:1, s:1, b:0),
% 155.80/156.26 skol3 [57, 0] (w:1, o:18, a:1, s:1, b:0).
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Starting Search:
% 155.80/156.26
% 155.80/156.26 *** allocated 15000 integers for clauses
% 155.80/156.26 *** allocated 22500 integers for clauses
% 155.80/156.26 *** allocated 33750 integers for clauses
% 155.80/156.26 *** allocated 15000 integers for termspace/termends
% 155.80/156.26 *** allocated 50625 integers for clauses
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 *** allocated 22500 integers for termspace/termends
% 155.80/156.26 *** allocated 75937 integers for clauses
% 155.80/156.26 *** allocated 33750 integers for termspace/termends
% 155.80/156.26 *** allocated 113905 integers for clauses
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 180706
% 155.80/156.26 Kept: 2037
% 155.80/156.26 Inuse: 754
% 155.80/156.26 Deleted: 9
% 155.80/156.26 Deletedinuse: 0
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 *** allocated 50625 integers for termspace/termends
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 Failed to find proof!
% 155.80/156.26 maxweight = 15
% 155.80/156.26 maxnrclauses = 10000000
% 155.80/156.26 Generated: 1693683
% 155.80/156.26 Kept: 2611
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 The strategy used was not complete!
% 155.80/156.26
% 155.80/156.26 Increased maxweight to 16
% 155.80/156.26
% 155.80/156.26 Starting Search:
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 17225
% 155.80/156.26 Kept: 2000
% 155.80/156.26 Inuse: 223
% 155.80/156.26 Deleted: 0
% 155.80/156.26 Deletedinuse: 0
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 *** allocated 170857 integers for clauses
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 *** allocated 75937 integers for termspace/termends
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 1469832
% 155.80/156.26 Kept: 4005
% 155.80/156.26 Inuse: 2080
% 155.80/156.26 Deleted: 107
% 155.80/156.26 Deletedinuse: 8
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 *** allocated 256285 integers for clauses
% 155.80/156.26 *** allocated 113905 integers for termspace/termends
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 1967909
% 155.80/156.26 Kept: 6011
% 155.80/156.26 Inuse: 2666
% 155.80/156.26 Deleted: 124
% 155.80/156.26 Deletedinuse: 10
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 Failed to find proof!
% 155.80/156.26 maxweight = 16
% 155.80/156.26 maxnrclauses = 10000000
% 155.80/156.26 Generated: 8714141
% 155.80/156.26 Kept: 6661
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 The strategy used was not complete!
% 155.80/156.26
% 155.80/156.26 Increased maxweight to 17
% 155.80/156.26
% 155.80/156.26 Starting Search:
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 16303
% 155.80/156.26 Kept: 2003
% 155.80/156.26 Inuse: 194
% 155.80/156.26 Deleted: 0
% 155.80/156.26 Deletedinuse: 0
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 41241
% 155.80/156.26 Kept: 4033
% 155.80/156.26 Inuse: 363
% 155.80/156.26 Deleted: 1
% 155.80/156.26 Deletedinuse: 0
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 478211
% 155.80/156.26 Kept: 6036
% 155.80/156.26 Inuse: 1152
% 155.80/156.26 Deleted: 33
% 155.80/156.26 Deletedinuse: 7
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 *** allocated 384427 integers for clauses
% 155.80/156.26 *** allocated 170857 integers for termspace/termends
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 1738741
% 155.80/156.26 Kept: 8043
% 155.80/156.26 Inuse: 2374
% 155.80/156.26 Deleted: 92
% 155.80/156.26 Deletedinuse: 9
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Intermediate Status:
% 155.80/156.26 Generated: 12077490
% 155.80/156.26 Kept: 10093
% 155.80/156.26 Inuse: 7283
% 155.80/156.26 Deleted: 191
% 155.80/156.26 Deletedinuse: 75
% 155.80/156.26
% 155.80/156.26 *** allocated 576640 integers for clauses
% 155.80/156.26 *** allocated 256285 integers for termspace/termends
% 155.80/156.26 Resimplifying inuse:
% 155.80/156.26 Done
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Bliksems!, er is een bewijs:
% 155.80/156.26 % SZS status Theorem
% 155.80/156.26 % SZS output start Refutation
% 155.80/156.26
% 155.80/156.26 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 155.80/156.26 ( Y, X ), Y ) }.
% 155.80/156.26 (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 155.80/156.26 orthogonal_through_point( Y, X ) ) }.
% 155.80/156.26 (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 155.80/156.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 155.80/156.26 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 155.80/156.26 (26) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ) ) }.
% 155.80/156.26 (27) {G0,W7,D3,L1,V0,M1} I { distinct_lines( orthogonal_through_point(
% 155.80/156.26 skol3, skol1 ), orthogonal_through_point( skol3, skol2 ) ) }.
% 155.80/156.26 (304) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 155.80/156.26 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 155.80/156.26 unorthogonal_lines( X, Y ) }.
% 155.80/156.26 (4820) {G2,W17,D3,L3,V4,M2} R(304,23) { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 155.80/156.26 (10355) {G3,W12,D3,L2,V3,M1} R(4820,24) { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( Z, orthogonal_through_point( X, Y ) ) }.
% 155.80/156.26 (10427) {G4,W0,D0,L0,V0,M0} R(10355,26);r(27) { }.
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 % SZS output end Refutation
% 155.80/156.26 found a proof!
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Unprocessed initial clauses:
% 155.80/156.26
% 155.80/156.26 (10429) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 155.80/156.26 (10430) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 155.80/156.26 (10431) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 155.80/156.26 (10432) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 155.80/156.26 X, Z ), distinct_points( Y, Z ) }.
% 155.80/156.26 (10433) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 155.80/156.26 , Z ), distinct_lines( Y, Z ) }.
% 155.80/156.26 (10434) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 155.80/156.26 ( X, Z ), convergent_lines( Y, Z ) }.
% 155.80/156.26 (10435) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 155.80/156.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 155.80/156.26 (10436) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 155.80/156.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 155.80/156.26 (10437) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 155.80/156.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 155.80/156.26 (10438) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 155.80/156.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 155.80/156.26 (10439) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 155.80/156.26 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 155.80/156.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 155.80/156.26 (10440) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 155.80/156.26 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 155.80/156.26 (10441) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 155.80/156.26 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 155.80/156.26 (10442) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 155.80/156.26 Y, Z ), convergent_lines( X, Z ) }.
% 155.80/156.26 (10443) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 155.80/156.26 Y, X ), Y ) }.
% 155.80/156.26 (10444) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 155.80/156.26 parallel_through_point( Y, X ) ) }.
% 155.80/156.26 (10445) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 155.80/156.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 155.80/156.26 convergent_lines( X, Y ) }.
% 155.80/156.26 (10446) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 155.80/156.26 ( X, Y ) }.
% 155.80/156.26 (10447) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 155.80/156.26 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 155.80/156.26 (10448) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 155.80/156.26 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 155.80/156.26 }.
% 155.80/156.26 (10449) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 155.80/156.26 }.
% 155.80/156.26 (10450) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 155.80/156.26 }.
% 155.80/156.26 (10451) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 155.80/156.26 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 155.80/156.26 (10452) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 155.80/156.26 orthogonal_through_point( Y, X ), Y ) }.
% 155.80/156.26 (10453) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 155.80/156.26 orthogonal_through_point( Y, X ) ) }.
% 155.80/156.26 (10454) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 155.80/156.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 155.80/156.26 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 155.80/156.26 (10455) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol2,
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ) ) }.
% 155.80/156.26 (10456) {G0,W7,D3,L1,V0,M1} { distinct_lines( orthogonal_through_point(
% 155.80/156.26 skol3, skol1 ), orthogonal_through_point( skol3, skol2 ) ) }.
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Total Proof:
% 155.80/156.26
% 155.80/156.26 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 155.80/156.26 orthogonal_through_point( Y, X ), Y ) }.
% 155.80/156.26 parent0: (10452) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 155.80/156.26 orthogonal_through_point( Y, X ), Y ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := X
% 155.80/156.26 Y := Y
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 155.80/156.26 orthogonal_through_point( Y, X ) ) }.
% 155.80/156.26 parent0: (10453) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 155.80/156.26 orthogonal_through_point( Y, X ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := X
% 155.80/156.26 Y := Y
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 155.80/156.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 155.80/156.26 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 155.80/156.26 parent0: (10454) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 155.80/156.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 155.80/156.26 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := X
% 155.80/156.26 Y := Y
% 155.80/156.26 Z := Z
% 155.80/156.26 T := T
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 1 ==> 1
% 155.80/156.26 2 ==> 2
% 155.80/156.26 3 ==> 4
% 155.80/156.26 4 ==> 3
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (26) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ) ) }.
% 155.80/156.26 parent0: (10455) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol2,
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (27) {G0,W7,D3,L1,V0,M1} I { distinct_lines(
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 155.80/156.26 , skol2 ) ) }.
% 155.80/156.26 parent0: (10456) {G0,W7,D3,L1,V0,M1} { distinct_lines(
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 155.80/156.26 , skol2 ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 resolution: (10513) {G1,W16,D3,L4,V4,M4} { ! distinct_lines( Z,
% 155.80/156.26 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 155.80/156.26 unorthogonal_lines( Z, X ) }.
% 155.80/156.26 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 155.80/156.26 orthogonal_through_point( Y, X ), Y ) }.
% 155.80/156.26 parent1[3]: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 155.80/156.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 155.80/156.26 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := Y
% 155.80/156.26 Y := X
% 155.80/156.26 end
% 155.80/156.26 substitution1:
% 155.80/156.26 X := Z
% 155.80/156.26 Y := orthogonal_through_point( X, Y )
% 155.80/156.26 Z := T
% 155.80/156.26 T := X
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (304) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 155.80/156.26 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 155.80/156.26 unorthogonal_lines( X, Y ) }.
% 155.80/156.26 parent0: (10513) {G1,W16,D3,L4,V4,M4} { ! distinct_lines( Z,
% 155.80/156.26 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 155.80/156.26 unorthogonal_lines( Z, X ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := Y
% 155.80/156.26 Y := Z
% 155.80/156.26 Z := X
% 155.80/156.26 T := T
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 1 ==> 1
% 155.80/156.26 2 ==> 2
% 155.80/156.26 3 ==> 3
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 resolution: (10516) {G1,W17,D3,L3,V4,M3} { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Z ) ) }.
% 155.80/156.26 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 155.80/156.26 orthogonal_through_point( Y, X ), Y ) }.
% 155.80/156.26 parent1[3]: (304) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 155.80/156.26 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 155.80/156.26 unorthogonal_lines( X, Y ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := Y
% 155.80/156.26 Y := X
% 155.80/156.26 end
% 155.80/156.26 substitution1:
% 155.80/156.26 X := orthogonal_through_point( X, Y )
% 155.80/156.26 Y := X
% 155.80/156.26 Z := Z
% 155.80/156.26 T := T
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (4820) {G2,W17,D3,L3,V4,M2} R(304,23) { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 155.80/156.26 parent0: (10516) {G1,W17,D3,L3,V4,M3} { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Z ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := X
% 155.80/156.26 Y := Y
% 155.80/156.26 Z := Z
% 155.80/156.26 T := T
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 1 ==> 2
% 155.80/156.26 2 ==> 1
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 resolution: (10518) {G1,W12,D3,L2,V3,M2} { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( Y, Z ), orthogonal_through_point( Y, X ) ),
% 155.80/156.26 apart_point_and_line( X, orthogonal_through_point( Y, Z ) ) }.
% 155.80/156.26 parent0[0]: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 155.80/156.26 orthogonal_through_point( Y, X ) ) }.
% 155.80/156.26 parent1[1]: (4820) {G2,W17,D3,L3,V4,M2} R(304,23) { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := X
% 155.80/156.26 Y := Y
% 155.80/156.26 end
% 155.80/156.26 substitution1:
% 155.80/156.26 X := Y
% 155.80/156.26 Y := Z
% 155.80/156.26 Z := X
% 155.80/156.26 T := X
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (10355) {G3,W12,D3,L2,V3,M1} R(4820,24) { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( Z, orthogonal_through_point( X, Y ) ) }.
% 155.80/156.26 parent0: (10518) {G1,W12,D3,L2,V3,M2} { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( Y, Z ), orthogonal_through_point( Y, X ) ),
% 155.80/156.26 apart_point_and_line( X, orthogonal_through_point( Y, Z ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 X := Z
% 155.80/156.26 Y := X
% 155.80/156.26 Z := Y
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 0 ==> 0
% 155.80/156.26 1 ==> 1
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 resolution: (10520) {G1,W7,D3,L1,V0,M1} { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 155.80/156.26 , skol2 ) ) }.
% 155.80/156.26 parent0[0]: (26) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ) ) }.
% 155.80/156.26 parent1[1]: (10355) {G3,W12,D3,L2,V3,M1} R(4820,24) { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 155.80/156.26 apart_point_and_line( Z, orthogonal_through_point( X, Y ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 end
% 155.80/156.26 substitution1:
% 155.80/156.26 X := skol3
% 155.80/156.26 Y := skol1
% 155.80/156.26 Z := skol2
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 resolution: (10521) {G1,W0,D0,L0,V0,M0} { }.
% 155.80/156.26 parent0[0]: (10520) {G1,W7,D3,L1,V0,M1} { ! distinct_lines(
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 155.80/156.26 , skol2 ) ) }.
% 155.80/156.26 parent1[0]: (27) {G0,W7,D3,L1,V0,M1} I { distinct_lines(
% 155.80/156.26 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 155.80/156.26 , skol2 ) ) }.
% 155.80/156.26 substitution0:
% 155.80/156.26 end
% 155.80/156.26 substitution1:
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 subsumption: (10427) {G4,W0,D0,L0,V0,M0} R(10355,26);r(27) { }.
% 155.80/156.26 parent0: (10521) {G1,W0,D0,L0,V0,M0} { }.
% 155.80/156.26 substitution0:
% 155.80/156.26 end
% 155.80/156.26 permutation0:
% 155.80/156.26 end
% 155.80/156.26
% 155.80/156.26 Proof check complete!
% 155.80/156.26
% 155.80/156.26 Memory use:
% 155.80/156.26
% 155.80/156.26 space for terms: 175682
% 155.80/156.26 space for clauses: 397021
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 clauses generated: 12366329
% 155.80/156.26 clauses kept: 10428
% 155.80/156.26 clauses selected: 7587
% 155.80/156.26 clauses deleted: 193
% 155.80/156.26 clauses inuse deleted: 75
% 155.80/156.26
% 155.80/156.26 subsentry: 60457878
% 155.80/156.26 literals s-matched: 18534091
% 155.80/156.26 literals matched: 18533970
% 155.80/156.26 full subsumption: 11833666
% 155.80/156.26
% 155.80/156.26 checksum: -1779017654
% 155.80/156.26
% 155.80/156.26
% 155.80/156.26 Bliksem ended
%------------------------------------------------------------------------------