%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO214+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:52:50 EDT 2022
% Result : Theorem 0.76s 1.53s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO214+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jun 17 21:59:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/1.53 *** allocated 10000 integers for termspace/termends
% 0.76/1.53 *** allocated 10000 integers for clauses
% 0.76/1.53 *** allocated 10000 integers for justifications
% 0.76/1.53 Bliksem 1.12
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Automatic Strategy Selection
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Clauses:
% 0.76/1.53
% 0.76/1.53 { ! distinct_points( X, X ) }.
% 0.76/1.53 { ! distinct_lines( X, X ) }.
% 0.76/1.53 { ! convergent_lines( X, X ) }.
% 0.76/1.53 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.76/1.53 ) }.
% 0.76/1.53 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.76/1.53 }.
% 0.76/1.53 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.76/1.53 , Z ) }.
% 0.76/1.53 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.76/1.53 , Y ) ) }.
% 0.76/1.53 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.76/1.53 , Y ) ) }.
% 0.76/1.53 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.76/1.53 , Y ), X ) }.
% 0.76/1.53 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.76/1.53 , Y ), Y ) }.
% 0.76/1.53 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.76/1.53 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.76/1.53 apart_point_and_line( Y, T ) }.
% 0.76/1.53 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.76/1.53 apart_point_and_line( Z, Y ) }.
% 0.76/1.53 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.76/1.53 apart_point_and_line( X, Z ) }.
% 0.76/1.53 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.76/1.53 Z ) }.
% 0.76/1.53 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.76/1.53 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.76/1.53 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.76/1.53 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.76/1.53 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.76/1.53 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.76/1.53 , convergent_lines( Y, Z ) }.
% 0.76/1.53 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.76/1.53 , unorthogonal_lines( Y, Z ) }.
% 0.76/1.53 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 0.76/1.53 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.76/1.53 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 0.76/1.53 }.
% 0.76/1.53 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 0.76/1.53 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 0.76/1.53 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.76/1.53 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 0.76/1.53 unorthogonal_lines( Y, T ) }.
% 0.76/1.53 { unorthogonal_lines( skol1, skol2 ) }.
% 0.76/1.53 { ! unorthogonal_lines( skol2, skol1 ) }.
% 0.76/1.53
% 0.76/1.53 percentage equality = 0.000000, percentage horn = 0.571429
% 0.76/1.53 This a non-horn, non-equality problem
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Options Used:
% 0.76/1.53
% 0.76/1.53 useres = 1
% 0.76/1.53 useparamod = 0
% 0.76/1.53 useeqrefl = 0
% 0.76/1.53 useeqfact = 0
% 0.76/1.53 usefactor = 1
% 0.76/1.53 usesimpsplitting = 0
% 0.76/1.53 usesimpdemod = 0
% 0.76/1.53 usesimpres = 3
% 0.76/1.53
% 0.76/1.53 resimpinuse = 1000
% 0.76/1.53 resimpclauses = 20000
% 0.76/1.53 substype = standard
% 0.76/1.53 backwardsubs = 1
% 0.76/1.53 selectoldest = 5
% 0.76/1.53
% 0.76/1.53 litorderings [0] = split
% 0.76/1.53 litorderings [1] = liftord
% 0.76/1.53
% 0.76/1.53 termordering = none
% 0.76/1.53
% 0.76/1.53 litapriori = 1
% 0.76/1.53 termapriori = 0
% 0.76/1.53 litaposteriori = 0
% 0.76/1.53 termaposteriori = 0
% 0.76/1.53 demodaposteriori = 0
% 0.76/1.53 ordereqreflfact = 0
% 0.76/1.53
% 0.76/1.53 litselect = none
% 0.76/1.53
% 0.76/1.53 maxweight = 15
% 0.76/1.53 maxdepth = 30000
% 0.76/1.53 maxlength = 115
% 0.76/1.53 maxnrvars = 195
% 0.76/1.53 excuselevel = 1
% 0.76/1.53 increasemaxweight = 1
% 0.76/1.53
% 0.76/1.53 maxselected = 10000000
% 0.76/1.53 maxnrclauses = 10000000
% 0.76/1.53
% 0.76/1.53 showgenerated = 0
% 0.76/1.53 showkept = 0
% 0.76/1.53 showselected = 0
% 0.76/1.53 showdeleted = 0
% 0.76/1.53 showresimp = 1
% 0.76/1.53 showstatus = 2000
% 0.76/1.53
% 0.76/1.53 prologoutput = 0
% 0.76/1.53 nrgoals = 5000000
% 0.76/1.53 totalproof = 1
% 0.76/1.53
% 0.76/1.53 Symbols occurring in the translation:
% 0.76/1.53
% 0.76/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.53 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.53 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.76/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.53 distinct_points [36, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.53 distinct_lines [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.76/1.53 convergent_lines [38, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.53 line_connecting [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.76/1.53 apart_point_and_line [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.76/1.53 intersection_point [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.76/1.53 parallel_through_point [46, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.53 unorthogonal_lines [49, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.53 orthogonal_through_point [52, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.53 alpha1 [53, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.53 skol1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.76/1.53 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Starting Search:
% 0.76/1.53
% 0.76/1.53 *** allocated 15000 integers for clauses
% 0.76/1.53 *** allocated 22500 integers for clauses
% 0.76/1.53 *** allocated 33750 integers for clauses
% 0.76/1.53 *** allocated 15000 integers for termspace/termends
% 0.76/1.53 *** allocated 50625 integers for clauses
% 0.76/1.53 Resimplifying inuse:
% 0.76/1.53 Done
% 0.76/1.53
% 0.76/1.53 *** allocated 22500 integers for termspace/termends
% 0.76/1.53 *** allocated 75937 integers for clauses
% 0.76/1.53 *** allocated 33750 integers for termspace/termends
% 0.76/1.53 *** allocated 113905 integers for clauses
% 0.76/1.53
% 0.76/1.53 Intermediate Status:
% 0.76/1.53 Generated: 14125
% 0.76/1.53 Kept: 2014
% 0.76/1.53 Inuse: 249
% 0.76/1.53 Deleted: 0
% 0.76/1.53 Deletedinuse: 0
% 0.76/1.53
% 0.76/1.53 Resimplifying inuse:
% 0.76/1.53 Done
% 0.76/1.53
% 0.76/1.53 *** allocated 50625 integers for termspace/termends
% 0.76/1.53 *** allocated 170857 integers for clauses
% 0.76/1.53
% 0.76/1.53 Bliksems!, er is een bewijs:
% 0.76/1.53 % SZS status Theorem
% 0.76/1.53 % SZS output start Refutation
% 0.76/1.53
% 0.76/1.53 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.76/1.53 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.76/1.53 Z ), ! convergent_lines( X, Y ) }.
% 0.76/1.53 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 0.76/1.53 X, Y ) }.
% 0.76/1.53 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.76/1.53 }.
% 0.76/1.53 (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1( X, Y ) }.
% 0.76/1.53 (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2 ) }.
% 0.76/1.53 (27) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol1 ) }.
% 0.76/1.53 (42) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.76/1.53 convergent_lines( X, Y ) }.
% 0.76/1.53 (49) {G1,W3,D2,L1,V0,M1} R(17,27) { convergent_lines( skol2, skol1 ) }.
% 0.76/1.53 (50) {G2,W3,D2,L1,V0,M1} R(49,42) { convergent_lines( skol1, skol2 ) }.
% 0.76/1.53 (262) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y ),
% 0.76/1.53 convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 0.76/1.53 unorthogonal_lines( Y, Z ) }.
% 0.76/1.53 (2873) {G3,W6,D2,L2,V1,M1} R(262,26);r(50) { convergent_lines( skol1, X ),
% 0.76/1.53 unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 (2878) {G4,W0,D0,L0,V0,M0} R(2873,27);r(2) { }.
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 % SZS output end Refutation
% 0.76/1.53 found a proof!
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Unprocessed initial clauses:
% 0.76/1.53
% 0.76/1.53 (2880) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.76/1.53 (2881) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.76/1.53 (2882) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.76/1.53 (2883) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.76/1.53 , Z ), distinct_points( Y, Z ) }.
% 0.76/1.53 (2884) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.76/1.53 Z ), distinct_lines( Y, Z ) }.
% 0.76/1.53 (2885) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.76/1.53 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.76/1.53 (2886) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.76/1.53 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.76/1.53 (2887) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.76/1.53 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.76/1.53 (2888) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.76/1.53 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.76/1.53 (2889) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.76/1.53 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.76/1.53 (2890) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.76/1.53 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.76/1.53 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.76/1.53 (2891) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.76/1.53 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.76/1.53 (2892) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.76/1.53 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.76/1.53 (2893) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.76/1.53 , Z ), convergent_lines( X, Z ) }.
% 0.76/1.53 (2894) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.76/1.53 , X ), Y ) }.
% 0.76/1.53 (2895) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.76/1.53 parallel_through_point( Y, X ) ) }.
% 0.76/1.53 (2896) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.76/1.53 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.76/1.53 convergent_lines( X, Y ) }.
% 0.76/1.53 (2897) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 0.76/1.53 ( X, Y ) }.
% 0.76/1.53 (2898) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 0.76/1.53 (2899) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.76/1.53 }.
% 0.76/1.53 (2900) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 0.76/1.53 }.
% 0.76/1.53 (2901) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 0.76/1.53 }.
% 0.76/1.53 (2902) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 0.76/1.53 (2903) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 0.76/1.53 orthogonal_through_point( Y, X ), Y ) }.
% 0.76/1.53 (2904) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.76/1.53 orthogonal_through_point( Y, X ) ) }.
% 0.76/1.53 (2905) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 0.76/1.53 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.76/1.53 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 0.76/1.53 (2906) {G0,W3,D2,L1,V0,M1} { unorthogonal_lines( skol1, skol2 ) }.
% 0.76/1.53 (2907) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol2, skol1 ) }.
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Total Proof:
% 0.76/1.53
% 0.76/1.53 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.76/1.53 parent0: (2882) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.76/1.53 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.76/1.53 parent0: (2885) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.76/1.53 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Y
% 0.76/1.53 Z := Z
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 2
% 0.76/1.53 1 ==> 0
% 0.76/1.53 2 ==> 1
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.76/1.53 unorthogonal_lines( X, Y ) }.
% 0.76/1.53 parent0: (2897) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 0.76/1.53 unorthogonal_lines( X, Y ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Y
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 1 ==> 1
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.76/1.53 }.
% 0.76/1.53 parent0: (2899) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.76/1.53 }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Y
% 0.76/1.53 Z := Z
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 1 ==> 1
% 0.76/1.53 2 ==> 3
% 0.76/1.53 3 ==> 2
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 0.76/1.53 alpha1( X, Y ) }.
% 0.76/1.53 parent0: (2900) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines(
% 0.76/1.53 X, Y ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Y
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 1
% 0.76/1.53 1 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2
% 0.76/1.53 ) }.
% 0.76/1.53 parent0: (2906) {G0,W3,D2,L1,V0,M1} { unorthogonal_lines( skol1, skol2 )
% 0.76/1.53 }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (27) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2,
% 0.76/1.53 skol1 ) }.
% 0.76/1.53 parent0: (2907) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol2, skol1 )
% 0.76/1.53 }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2965) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.76/1.53 convergent_lines( X, Y ) }.
% 0.76/1.53 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.76/1.53 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.76/1.53 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Y
% 0.76/1.53 Z := X
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (42) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.76/1.53 convergent_lines( X, Y ) }.
% 0.76/1.53 parent0: (2965) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.76/1.53 convergent_lines( X, Y ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := Y
% 0.76/1.53 Y := X
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 1
% 0.76/1.53 1 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2967) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 0.76/1.53 }.
% 0.76/1.53 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol1
% 0.76/1.53 ) }.
% 0.76/1.53 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.76/1.53 unorthogonal_lines( X, Y ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 X := skol2
% 0.76/1.53 Y := skol1
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (49) {G1,W3,D2,L1,V0,M1} R(17,27) { convergent_lines( skol2,
% 0.76/1.53 skol1 ) }.
% 0.76/1.53 parent0: (2967) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2968) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 0.76/1.53 }.
% 0.76/1.53 parent0[0]: (42) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.76/1.53 convergent_lines( X, Y ) }.
% 0.76/1.53 parent1[0]: (49) {G1,W3,D2,L1,V0,M1} R(17,27) { convergent_lines( skol2,
% 0.76/1.53 skol1 ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := skol1
% 0.76/1.53 Y := skol2
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (50) {G2,W3,D2,L1,V0,M1} R(49,42) { convergent_lines( skol1,
% 0.76/1.53 skol2 ) }.
% 0.76/1.53 parent0: (2968) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2970) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 0.76/1.53 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 0.76/1.53 unorthogonal_lines( Z, Y ) }.
% 0.76/1.53 parent0[1]: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1
% 0.76/1.53 ( X, Y ) }.
% 0.76/1.53 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.76/1.53 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.76/1.53 }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Y
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Z
% 0.76/1.53 Z := Y
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (262) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 0.76/1.53 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 0.76/1.53 unorthogonal_lines( Y, Z ) }.
% 0.76/1.53 parent0: (2970) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 0.76/1.53 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 0.76/1.53 unorthogonal_lines( Z, Y ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 Y := Z
% 0.76/1.53 Z := Y
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 1
% 0.76/1.53 1 ==> 0
% 0.76/1.53 2 ==> 2
% 0.76/1.53 3 ==> 3
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2971) {G1,W9,D2,L3,V1,M3} { ! convergent_lines( skol1, skol2
% 0.76/1.53 ), convergent_lines( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 parent0[2]: (262) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 0.76/1.53 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 0.76/1.53 unorthogonal_lines( Y, Z ) }.
% 0.76/1.53 parent1[0]: (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2 )
% 0.76/1.53 }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := skol1
% 0.76/1.53 Y := skol2
% 0.76/1.53 Z := X
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2972) {G2,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 0.76/1.53 unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 parent0[0]: (2971) {G1,W9,D2,L3,V1,M3} { ! convergent_lines( skol1, skol2
% 0.76/1.53 ), convergent_lines( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 parent1[0]: (50) {G2,W3,D2,L1,V0,M1} R(49,42) { convergent_lines( skol1,
% 0.76/1.53 skol2 ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (2873) {G3,W6,D2,L2,V1,M1} R(262,26);r(50) { convergent_lines
% 0.76/1.53 ( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 parent0: (2972) {G2,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 0.76/1.53 unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := X
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 0 ==> 0
% 0.76/1.53 1 ==> 1
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2973) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol1 )
% 0.76/1.53 }.
% 0.76/1.53 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol1
% 0.76/1.53 ) }.
% 0.76/1.53 parent1[1]: (2873) {G3,W6,D2,L2,V1,M1} R(262,26);r(50) { convergent_lines(
% 0.76/1.53 skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 X := skol1
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 resolution: (2974) {G1,W0,D0,L0,V0,M0} { }.
% 0.76/1.53 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.76/1.53 parent1[0]: (2973) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol1 )
% 0.76/1.53 }.
% 0.76/1.53 substitution0:
% 0.76/1.53 X := skol1
% 0.76/1.53 end
% 0.76/1.53 substitution1:
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 subsumption: (2878) {G4,W0,D0,L0,V0,M0} R(2873,27);r(2) { }.
% 0.76/1.53 parent0: (2974) {G1,W0,D0,L0,V0,M0} { }.
% 0.76/1.53 substitution0:
% 0.76/1.53 end
% 0.76/1.53 permutation0:
% 0.76/1.53 end
% 0.76/1.53
% 0.76/1.53 Proof check complete!
% 0.76/1.53
% 0.76/1.53 Memory use:
% 0.76/1.53
% 0.76/1.53 space for terms: 40987
% 0.76/1.53 space for clauses: 114086
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 clauses generated: 48591
% 0.76/1.53 clauses kept: 2879
% 0.76/1.53 clauses selected: 482
% 0.76/1.53 clauses deleted: 0
% 0.76/1.53 clauses inuse deleted: 0
% 0.76/1.53
% 0.76/1.53 subsentry: 671995
% 0.76/1.53 literals s-matched: 295486
% 0.76/1.53 literals matched: 295461
% 0.76/1.53 full subsumption: 179320
% 0.76/1.53
% 0.76/1.53 checksum: -1564256806
% 0.76/1.53
% 0.76/1.53
% 0.76/1.53 Bliksem ended
%------------------------------------------------------------------------------