%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO221+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 66.27s 66.62s
% Output : Refutation 66.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO221+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.09 % Command : bliksem %s
% 0.09/0.29 % Computer : n005.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Sat Jun 18 14:07:23 EDT 2022
% 0.09/0.29 % CPUTime :
% 66.27/66.62 *** allocated 10000 integers for termspace/termends
% 66.27/66.62 *** allocated 10000 integers for clauses
% 66.27/66.62 *** allocated 10000 integers for justifications
% 66.27/66.62 Bliksem 1.12
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Automatic Strategy Selection
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Clauses:
% 66.27/66.62
% 66.27/66.62 { ! distinct_points( X, X ) }.
% 66.27/66.62 { ! distinct_lines( X, X ) }.
% 66.27/66.62 { ! convergent_lines( X, X ) }.
% 66.27/66.62 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 66.27/66.62 ) }.
% 66.27/66.62 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 66.27/66.62 }.
% 66.27/66.62 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 66.27/66.62 , Z ) }.
% 66.27/66.62 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 66.27/66.62 , Y ) ), distinct_points( Z, X ) }.
% 66.27/66.62 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 66.27/66.62 , Y ) ), distinct_points( Z, Y ) }.
% 66.27/66.62 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 66.27/66.62 distinct_points( Z, intersection_point( X, Y ) ) }.
% 66.27/66.62 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 66.27/66.62 distinct_points( Z, intersection_point( X, Y ) ) }.
% 66.27/66.62 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 66.27/66.62 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 66.27/66.62 apart_point_and_line( Y, T ) }.
% 66.27/66.62 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 66.27/66.62 apart_point_and_line( Z, Y ) }.
% 66.27/66.62 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 66.27/66.62 apart_point_and_line( X, Z ) }.
% 66.27/66.62 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 66.27/66.62 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 66.27/66.62 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 66.27/66.62 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 66.27/66.62 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 66.27/66.62 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 66.27/66.62 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 66.27/66.62 , convergent_lines( Y, Z ) }.
% 66.27/66.62 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 66.27/66.62 , unorthogonal_lines( Y, Z ) }.
% 66.27/66.62 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 66.27/66.62 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 66.27/66.62 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 66.27/66.62 }.
% 66.27/66.62 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 66.27/66.62 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 66.27/66.62 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 66.27/66.62 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 66.27/66.62 unorthogonal_lines( Y, T ) }.
% 66.27/66.62 { ! apart_point_and_line( skol2, orthogonal_through_point( skol3, skol1 ) )
% 66.27/66.62 }.
% 66.27/66.62 { distinct_lines( orthogonal_through_point( skol3, skol1 ),
% 66.27/66.62 orthogonal_through_point( skol3, skol2 ) ) }.
% 66.27/66.62
% 66.27/66.62 percentage equality = 0.000000, percentage horn = 0.607143
% 66.27/66.62 This a non-horn, non-equality problem
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Options Used:
% 66.27/66.62
% 66.27/66.62 useres = 1
% 66.27/66.62 useparamod = 0
% 66.27/66.62 useeqrefl = 0
% 66.27/66.62 useeqfact = 0
% 66.27/66.62 usefactor = 1
% 66.27/66.62 usesimpsplitting = 0
% 66.27/66.62 usesimpdemod = 0
% 66.27/66.62 usesimpres = 3
% 66.27/66.62
% 66.27/66.62 resimpinuse = 1000
% 66.27/66.62 resimpclauses = 20000
% 66.27/66.62 substype = standard
% 66.27/66.62 backwardsubs = 1
% 66.27/66.62 selectoldest = 5
% 66.27/66.62
% 66.27/66.62 litorderings [0] = split
% 66.27/66.62 litorderings [1] = liftord
% 66.27/66.62
% 66.27/66.62 termordering = none
% 66.27/66.62
% 66.27/66.62 litapriori = 1
% 66.27/66.62 termapriori = 0
% 66.27/66.62 litaposteriori = 0
% 66.27/66.62 termaposteriori = 0
% 66.27/66.62 demodaposteriori = 0
% 66.27/66.62 ordereqreflfact = 0
% 66.27/66.62
% 66.27/66.62 litselect = none
% 66.27/66.62
% 66.27/66.62 maxweight = 15
% 66.27/66.62 maxdepth = 30000
% 66.27/66.62 maxlength = 115
% 66.27/66.62 maxnrvars = 195
% 66.27/66.62 excuselevel = 1
% 66.27/66.62 increasemaxweight = 1
% 66.27/66.62
% 66.27/66.62 maxselected = 10000000
% 66.27/66.62 maxnrclauses = 10000000
% 66.27/66.62
% 66.27/66.62 showgenerated = 0
% 66.27/66.62 showkept = 0
% 66.27/66.62 showselected = 0
% 66.27/66.62 showdeleted = 0
% 66.27/66.62 showresimp = 1
% 66.27/66.62 showstatus = 2000
% 66.27/66.62
% 66.27/66.62 prologoutput = 0
% 66.27/66.62 nrgoals = 5000000
% 66.27/66.62 totalproof = 1
% 66.27/66.62
% 66.27/66.62 Symbols occurring in the translation:
% 66.27/66.62
% 66.27/66.62 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 66.27/66.62 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 66.27/66.62 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 66.27/66.62 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 66.27/66.62 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 66.27/66.62 distinct_points [36, 2] (w:1, o:49, a:1, s:1, b:0),
% 66.27/66.62 distinct_lines [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 66.27/66.62 convergent_lines [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 66.27/66.62 line_connecting [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 66.27/66.62 apart_point_and_line [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 66.27/66.62 intersection_point [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 66.27/66.62 parallel_through_point [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 66.27/66.62 unorthogonal_lines [49, 2] (w:1, o:56, a:1, s:1, b:0),
% 66.27/66.62 orthogonal_through_point [52, 2] (w:1, o:54, a:1, s:1, b:0),
% 66.27/66.62 alpha1 [54, 2] (w:1, o:57, a:1, s:1, b:0),
% 66.27/66.62 skol1 [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 66.27/66.62 skol2 [56, 0] (w:1, o:17, a:1, s:1, b:0),
% 66.27/66.62 skol3 [57, 0] (w:1, o:18, a:1, s:1, b:0).
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Starting Search:
% 66.27/66.62
% 66.27/66.62 *** allocated 15000 integers for clauses
% 66.27/66.62 *** allocated 22500 integers for clauses
% 66.27/66.62 *** allocated 33750 integers for clauses
% 66.27/66.62 *** allocated 15000 integers for termspace/termends
% 66.27/66.62 *** allocated 50625 integers for clauses
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 *** allocated 22500 integers for termspace/termends
% 66.27/66.62 *** allocated 75937 integers for clauses
% 66.27/66.62 *** allocated 33750 integers for termspace/termends
% 66.27/66.62 *** allocated 113905 integers for clauses
% 66.27/66.62
% 66.27/66.62 Intermediate Status:
% 66.27/66.62 Generated: 184476
% 66.27/66.62 Kept: 2015
% 66.27/66.62 Inuse: 768
% 66.27/66.62 Deleted: 6
% 66.27/66.62 Deletedinuse: 0
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 Failed to find proof!
% 66.27/66.62 maxweight = 15
% 66.27/66.62 maxnrclauses = 10000000
% 66.27/66.62 Generated: 1617768
% 66.27/66.62 Kept: 2197
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 The strategy used was not complete!
% 66.27/66.62
% 66.27/66.62 Increased maxweight to 16
% 66.27/66.62
% 66.27/66.62 Starting Search:
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Intermediate Status:
% 66.27/66.62 Generated: 17285
% 66.27/66.62 Kept: 2005
% 66.27/66.62 Inuse: 225
% 66.27/66.62 Deleted: 0
% 66.27/66.62 Deletedinuse: 0
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 *** allocated 50625 integers for termspace/termends
% 66.27/66.62 *** allocated 170857 integers for clauses
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 *** allocated 75937 integers for termspace/termends
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 Failed to find proof!
% 66.27/66.62 maxweight = 16
% 66.27/66.62 maxnrclauses = 10000000
% 66.27/66.62 Generated: 5010425
% 66.27/66.62 Kept: 3837
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 The strategy used was not complete!
% 66.27/66.62
% 66.27/66.62 Increased maxweight to 17
% 66.27/66.62
% 66.27/66.62 Starting Search:
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Intermediate Status:
% 66.27/66.62 Generated: 15875
% 66.27/66.62 Kept: 2000
% 66.27/66.62 Inuse: 190
% 66.27/66.62 Deleted: 0
% 66.27/66.62 Deletedinuse: 0
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Intermediate Status:
% 66.27/66.62 Generated: 42391
% 66.27/66.62 Kept: 4039
% 66.27/66.62 Inuse: 379
% 66.27/66.62 Deleted: 1
% 66.27/66.62 Deletedinuse: 0
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 *** allocated 256285 integers for clauses
% 66.27/66.62 *** allocated 113905 integers for termspace/termends
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Intermediate Status:
% 66.27/66.62 Generated: 448125
% 66.27/66.62 Kept: 6105
% 66.27/66.62 Inuse: 1186
% 66.27/66.62 Deleted: 28
% 66.27/66.62 Deletedinuse: 4
% 66.27/66.62
% 66.27/66.62 Resimplifying inuse:
% 66.27/66.62 Done
% 66.27/66.62
% 66.27/66.62 *** allocated 384427 integers for clauses
% 66.27/66.62
% 66.27/66.62 Bliksems!, er is een bewijs:
% 66.27/66.62 % SZS status Theorem
% 66.27/66.62 % SZS output start Refutation
% 66.27/66.62
% 66.27/66.62 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 66.27/66.62 ( Y, X ), Y ) }.
% 66.27/66.62 (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 66.27/66.62 orthogonal_through_point( Y, X ) ) }.
% 66.27/66.62 (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 66.27/66.62 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 66.27/66.62 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 66.27/66.62 (26) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 66.27/66.62 orthogonal_through_point( skol3, skol1 ) ) }.
% 66.27/66.62 (27) {G0,W7,D3,L1,V0,M1} I { distinct_lines( orthogonal_through_point(
% 66.27/66.62 skol3, skol1 ), orthogonal_through_point( skol3, skol2 ) ) }.
% 66.27/66.62 (298) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 66.27/66.62 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 66.27/66.62 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 66.27/66.62 unorthogonal_lines( X, Y ) }.
% 66.27/66.62 (4750) {G2,W17,D3,L3,V4,M2} R(298,23) { ! distinct_lines(
% 66.27/66.62 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.62 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 66.27/66.62 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 66.27/66.62 (6642) {G3,W12,D3,L2,V3,M1} R(4750,24) { ! distinct_lines(
% 66.27/66.62 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.62 apart_point_and_line( Z, orthogonal_through_point( X, Y ) ) }.
% 66.27/66.62 (6714) {G4,W0,D0,L0,V0,M0} R(6642,26);r(27) { }.
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 % SZS output end Refutation
% 66.27/66.62 found a proof!
% 66.27/66.62
% 66.27/66.62
% 66.27/66.62 Unprocessed initial clauses:
% 66.27/66.62
% 66.27/66.62 (6716) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 66.27/66.62 (6717) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 66.27/66.62 (6718) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 66.27/66.62 (6719) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 66.27/66.62 , Z ), distinct_points( Y, Z ) }.
% 66.27/66.62 (6720) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 66.27/66.62 Z ), distinct_lines( Y, Z ) }.
% 66.27/66.62 (6721) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 66.27/66.62 ( X, Z ), convergent_lines( Y, Z ) }.
% 66.27/66.62 (6722) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 66.27/66.62 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 66.27/66.62 ) }.
% 66.27/66.62 (6723) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 66.27/66.62 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 66.27/66.62 ) }.
% 66.27/66.62 (6724) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 66.27/66.62 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 66.27/66.62 Y ) ) }.
% 66.27/66.62 (6725) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 66.27/66.62 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 66.27/66.63 Y ) ) }.
% 66.27/66.63 (6726) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 66.27/66.63 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 66.27/66.63 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 66.27/66.63 (6727) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 66.27/66.63 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 66.27/66.63 (6728) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 66.27/66.63 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 66.27/66.63 (6729) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 66.27/66.63 , Y ) }.
% 66.27/66.63 (6730) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 66.27/66.63 , X ), Y ) }.
% 66.27/66.63 (6731) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 66.27/66.63 parallel_through_point( Y, X ) ) }.
% 66.27/66.63 (6732) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 66.27/66.63 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 66.27/66.63 convergent_lines( X, Y ) }.
% 66.27/66.63 (6733) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 66.27/66.63 ( X, Y ) }.
% 66.27/66.63 (6734) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 66.27/66.63 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 66.27/66.63 (6735) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 66.27/66.63 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 66.27/66.63 }.
% 66.27/66.63 (6736) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 66.27/66.63 }.
% 66.27/66.63 (6737) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 66.27/66.63 }.
% 66.27/66.63 (6738) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 66.27/66.63 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 66.27/66.63 (6739) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 66.27/66.63 orthogonal_through_point( Y, X ), Y ) }.
% 66.27/66.63 (6740) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 66.27/66.63 orthogonal_through_point( Y, X ) ) }.
% 66.27/66.63 (6741) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 66.27/66.63 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 66.27/66.63 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 66.27/66.63 (6742) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol2,
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ) ) }.
% 66.27/66.63 (6743) {G0,W7,D3,L1,V0,M1} { distinct_lines( orthogonal_through_point(
% 66.27/66.63 skol3, skol1 ), orthogonal_through_point( skol3, skol2 ) ) }.
% 66.27/66.63
% 66.27/66.63
% 66.27/66.63 Total Proof:
% 66.27/66.63
% 66.27/66.63 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 66.27/66.63 orthogonal_through_point( Y, X ), Y ) }.
% 66.27/66.63 parent0: (6739) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 66.27/66.63 orthogonal_through_point( Y, X ), Y ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := X
% 66.27/66.63 Y := Y
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 66.27/66.63 orthogonal_through_point( Y, X ) ) }.
% 66.27/66.63 parent0: (6740) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 66.27/66.63 orthogonal_through_point( Y, X ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := X
% 66.27/66.63 Y := Y
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 66.27/66.63 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 66.27/66.63 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 66.27/66.63 parent0: (6741) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 66.27/66.63 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 66.27/66.63 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := X
% 66.27/66.63 Y := Y
% 66.27/66.63 Z := Z
% 66.27/66.63 T := T
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 1 ==> 1
% 66.27/66.63 2 ==> 2
% 66.27/66.63 3 ==> 4
% 66.27/66.63 4 ==> 3
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (26) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ) ) }.
% 66.27/66.63 parent0: (6742) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol2,
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (27) {G0,W7,D3,L1,V0,M1} I { distinct_lines(
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 66.27/66.63 , skol2 ) ) }.
% 66.27/66.63 parent0: (6743) {G0,W7,D3,L1,V0,M1} { distinct_lines(
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 66.27/66.63 , skol2 ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 resolution: (6800) {G1,W16,D3,L4,V4,M4} { ! distinct_lines( Z,
% 66.27/66.63 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 66.27/66.63 unorthogonal_lines( Z, X ) }.
% 66.27/66.63 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 66.27/66.63 orthogonal_through_point( Y, X ), Y ) }.
% 66.27/66.63 parent1[3]: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 66.27/66.63 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 66.27/66.63 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := Y
% 66.27/66.63 Y := X
% 66.27/66.63 end
% 66.27/66.63 substitution1:
% 66.27/66.63 X := Z
% 66.27/66.63 Y := orthogonal_through_point( X, Y )
% 66.27/66.63 Z := T
% 66.27/66.63 T := X
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (298) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 66.27/66.63 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 66.27/66.63 unorthogonal_lines( X, Y ) }.
% 66.27/66.63 parent0: (6800) {G1,W16,D3,L4,V4,M4} { ! distinct_lines( Z,
% 66.27/66.63 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 66.27/66.63 unorthogonal_lines( Z, X ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := Y
% 66.27/66.63 Y := Z
% 66.27/66.63 Z := X
% 66.27/66.63 T := T
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 1 ==> 1
% 66.27/66.63 2 ==> 2
% 66.27/66.63 3 ==> 3
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 resolution: (6803) {G1,W17,D3,L3,V4,M3} { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Z ) ) }.
% 66.27/66.63 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 66.27/66.63 orthogonal_through_point( Y, X ), Y ) }.
% 66.27/66.63 parent1[3]: (298) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 66.27/66.63 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 66.27/66.63 unorthogonal_lines( X, Y ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := Y
% 66.27/66.63 Y := X
% 66.27/66.63 end
% 66.27/66.63 substitution1:
% 66.27/66.63 X := orthogonal_through_point( X, Y )
% 66.27/66.63 Y := X
% 66.27/66.63 Z := Z
% 66.27/66.63 T := T
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (4750) {G2,W17,D3,L3,V4,M2} R(298,23) { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 66.27/66.63 parent0: (6803) {G1,W17,D3,L3,V4,M3} { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Z ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := X
% 66.27/66.63 Y := Y
% 66.27/66.63 Z := Z
% 66.27/66.63 T := T
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 1 ==> 2
% 66.27/66.63 2 ==> 1
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 resolution: (6805) {G1,W12,D3,L2,V3,M2} { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( Y, Z ), orthogonal_through_point( Y, X ) ),
% 66.27/66.63 apart_point_and_line( X, orthogonal_through_point( Y, Z ) ) }.
% 66.27/66.63 parent0[0]: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 66.27/66.63 orthogonal_through_point( Y, X ) ) }.
% 66.27/66.63 parent1[1]: (4750) {G2,W17,D3,L3,V4,M2} R(298,23) { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := X
% 66.27/66.63 Y := Y
% 66.27/66.63 end
% 66.27/66.63 substitution1:
% 66.27/66.63 X := Y
% 66.27/66.63 Y := Z
% 66.27/66.63 Z := X
% 66.27/66.63 T := X
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (6642) {G3,W12,D3,L2,V3,M1} R(4750,24) { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( Z, orthogonal_through_point( X, Y ) ) }.
% 66.27/66.63 parent0: (6805) {G1,W12,D3,L2,V3,M2} { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( Y, Z ), orthogonal_through_point( Y, X ) ),
% 66.27/66.63 apart_point_and_line( X, orthogonal_through_point( Y, Z ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 X := Z
% 66.27/66.63 Y := X
% 66.27/66.63 Z := Y
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 0 ==> 0
% 66.27/66.63 1 ==> 1
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 resolution: (6807) {G1,W7,D3,L1,V0,M1} { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 66.27/66.63 , skol2 ) ) }.
% 66.27/66.63 parent0[0]: (26) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ) ) }.
% 66.27/66.63 parent1[1]: (6642) {G3,W12,D3,L2,V3,M1} R(4750,24) { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 66.27/66.63 apart_point_and_line( Z, orthogonal_through_point( X, Y ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 end
% 66.27/66.63 substitution1:
% 66.27/66.63 X := skol3
% 66.27/66.63 Y := skol1
% 66.27/66.63 Z := skol2
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 resolution: (6808) {G1,W0,D0,L0,V0,M0} { }.
% 66.27/66.63 parent0[0]: (6807) {G1,W7,D3,L1,V0,M1} { ! distinct_lines(
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 66.27/66.63 , skol2 ) ) }.
% 66.27/66.63 parent1[0]: (27) {G0,W7,D3,L1,V0,M1} I { distinct_lines(
% 66.27/66.63 orthogonal_through_point( skol3, skol1 ), orthogonal_through_point( skol3
% 66.27/66.63 , skol2 ) ) }.
% 66.27/66.63 substitution0:
% 66.27/66.63 end
% 66.27/66.63 substitution1:
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 subsumption: (6714) {G4,W0,D0,L0,V0,M0} R(6642,26);r(27) { }.
% 66.27/66.63 parent0: (6808) {G1,W0,D0,L0,V0,M0} { }.
% 66.27/66.63 substitution0:
% 66.27/66.63 end
% 66.27/66.63 permutation0:
% 66.27/66.63 end
% 66.27/66.63
% 66.27/66.63 Proof check complete!
% 66.27/66.63
% 66.27/66.63 Memory use:
% 66.27/66.63
% 66.27/66.63 space for terms: 110840
% 66.27/66.63 space for clauses: 261436
% 66.27/66.63
% 66.27/66.63
% 66.27/66.63 clauses generated: 7266411
% 66.27/66.63 clauses kept: 6715
% 66.27/66.63 clauses selected: 4154
% 66.27/66.63 clauses deleted: 104
% 66.27/66.63 clauses inuse deleted: 6
% 66.27/66.63
% 66.27/66.63 subsentry: 52462486
% 66.27/66.63 literals s-matched: 15556850
% 66.27/66.63 literals matched: 15556825
% 66.27/66.63 full subsumption: 10430732
% 66.27/66.63
% 66.27/66.63 checksum: 111491322
% 66.27/66.63
% 66.27/66.63
% 66.27/66.63 Bliksem ended
%------------------------------------------------------------------------------