%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO212+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:52:48 EDT 2022
% Result : Theorem 0.80s 1.51s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO212+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 18 00:04:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.80/1.51 *** allocated 10000 integers for termspace/termends
% 0.80/1.51 *** allocated 10000 integers for clauses
% 0.80/1.51 *** allocated 10000 integers for justifications
% 0.80/1.51 Bliksem 1.12
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Automatic Strategy Selection
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Clauses:
% 0.80/1.51
% 0.80/1.51 { ! distinct_points( X, X ) }.
% 0.80/1.51 { ! distinct_lines( X, X ) }.
% 0.80/1.51 { ! convergent_lines( X, X ) }.
% 0.80/1.51 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.80/1.51 ) }.
% 0.80/1.51 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.80/1.51 }.
% 0.80/1.51 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.80/1.51 , Z ) }.
% 0.80/1.51 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.80/1.51 , Y ) ) }.
% 0.80/1.51 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.80/1.51 , Y ) ) }.
% 0.80/1.51 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.80/1.51 , Y ), X ) }.
% 0.80/1.51 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.80/1.51 , Y ), Y ) }.
% 0.80/1.51 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.80/1.51 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.80/1.51 apart_point_and_line( Y, T ) }.
% 0.80/1.51 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.80/1.51 apart_point_and_line( Z, Y ) }.
% 0.80/1.51 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.80/1.51 apart_point_and_line( X, Z ) }.
% 0.80/1.51 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.80/1.51 Z ) }.
% 0.80/1.51 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.80/1.51 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.80/1.51 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.80/1.51 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.80/1.51 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.80/1.51 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.80/1.51 , convergent_lines( Y, Z ) }.
% 0.80/1.51 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.80/1.51 , unorthogonal_lines( Y, Z ) }.
% 0.80/1.51 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 0.80/1.51 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.80/1.51 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 0.80/1.51 }.
% 0.80/1.51 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 0.80/1.51 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 0.80/1.51 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.80/1.51 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 0.80/1.51 unorthogonal_lines( Y, T ) }.
% 0.80/1.51 { unorthogonal_lines( skol1, skol2 ) }.
% 0.80/1.51 { ! convergent_lines( skol1, skol3 ) }.
% 0.80/1.51 { ! unorthogonal_lines( skol2, skol3 ) }.
% 0.80/1.51
% 0.80/1.51 percentage equality = 0.000000, percentage horn = 0.586207
% 0.80/1.51 This a non-horn, non-equality problem
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Options Used:
% 0.80/1.51
% 0.80/1.51 useres = 1
% 0.80/1.51 useparamod = 0
% 0.80/1.51 useeqrefl = 0
% 0.80/1.51 useeqfact = 0
% 0.80/1.51 usefactor = 1
% 0.80/1.51 usesimpsplitting = 0
% 0.80/1.51 usesimpdemod = 0
% 0.80/1.51 usesimpres = 3
% 0.80/1.51
% 0.80/1.51 resimpinuse = 1000
% 0.80/1.51 resimpclauses = 20000
% 0.80/1.51 substype = standard
% 0.80/1.51 backwardsubs = 1
% 0.80/1.51 selectoldest = 5
% 0.80/1.51
% 0.80/1.51 litorderings [0] = split
% 0.80/1.51 litorderings [1] = liftord
% 0.80/1.51
% 0.80/1.51 termordering = none
% 0.80/1.51
% 0.80/1.51 litapriori = 1
% 0.80/1.51 termapriori = 0
% 0.80/1.51 litaposteriori = 0
% 0.80/1.51 termaposteriori = 0
% 0.80/1.51 demodaposteriori = 0
% 0.80/1.51 ordereqreflfact = 0
% 0.80/1.51
% 0.80/1.51 litselect = none
% 0.80/1.51
% 0.80/1.51 maxweight = 15
% 0.80/1.51 maxdepth = 30000
% 0.80/1.51 maxlength = 115
% 0.80/1.51 maxnrvars = 195
% 0.80/1.51 excuselevel = 1
% 0.80/1.51 increasemaxweight = 1
% 0.80/1.51
% 0.80/1.51 maxselected = 10000000
% 0.80/1.51 maxnrclauses = 10000000
% 0.80/1.51
% 0.80/1.51 showgenerated = 0
% 0.80/1.51 showkept = 0
% 0.80/1.51 showselected = 0
% 0.80/1.51 showdeleted = 0
% 0.80/1.51 showresimp = 1
% 0.80/1.51 showstatus = 2000
% 0.80/1.51
% 0.80/1.51 prologoutput = 0
% 0.80/1.51 nrgoals = 5000000
% 0.80/1.51 totalproof = 1
% 0.80/1.51
% 0.80/1.51 Symbols occurring in the translation:
% 0.80/1.51
% 0.80/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.51 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.80/1.51 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.80/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.51 distinct_points [36, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.80/1.51 distinct_lines [37, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.80/1.51 convergent_lines [38, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.80/1.51 line_connecting [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.80/1.51 apart_point_and_line [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.80/1.51 intersection_point [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.80/1.51 parallel_through_point [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.80/1.51 unorthogonal_lines [49, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.51 orthogonal_through_point [52, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.80/1.51 alpha1 [53, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.80/1.51 skol1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.80/1.51 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.80/1.51 skol3 [56, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Starting Search:
% 0.80/1.51
% 0.80/1.51 *** allocated 15000 integers for clauses
% 0.80/1.51 *** allocated 22500 integers for clauses
% 0.80/1.51 *** allocated 33750 integers for clauses
% 0.80/1.51 *** allocated 50625 integers for clauses
% 0.80/1.51 *** allocated 15000 integers for termspace/termends
% 0.80/1.51 Resimplifying inuse:
% 0.80/1.51 Done
% 0.80/1.51
% 0.80/1.51 *** allocated 22500 integers for termspace/termends
% 0.80/1.51 *** allocated 75937 integers for clauses
% 0.80/1.51 *** allocated 33750 integers for termspace/termends
% 0.80/1.51 *** allocated 113905 integers for clauses
% 0.80/1.51
% 0.80/1.51 Intermediate Status:
% 0.80/1.51 Generated: 20838
% 0.80/1.51 Kept: 2020
% 0.80/1.51 Inuse: 329
% 0.80/1.51 Deleted: 0
% 0.80/1.51 Deletedinuse: 0
% 0.80/1.51
% 0.80/1.51 Resimplifying inuse:
% 0.80/1.51 Done
% 0.80/1.51
% 0.80/1.51 *** allocated 50625 integers for termspace/termends
% 0.80/1.51 *** allocated 170857 integers for clauses
% 0.80/1.51 Resimplifying inuse:
% 0.80/1.51 Done
% 0.80/1.51
% 0.80/1.51 *** allocated 75937 integers for termspace/termends
% 0.80/1.51
% 0.80/1.51 Bliksems!, er is een bewijs:
% 0.80/1.51 % SZS status Theorem
% 0.80/1.51 % SZS output start Refutation
% 0.80/1.51
% 0.80/1.51 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.80/1.51 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.80/1.51 Z ), ! convergent_lines( X, Y ) }.
% 0.80/1.51 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 0.80/1.51 X, Y ) }.
% 0.80/1.51 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.80/1.51 }.
% 0.80/1.51 (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1( X, Y ) }.
% 0.80/1.51 (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2 ) }.
% 0.80/1.51 (27) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol3 ) }.
% 0.80/1.51 (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol3 ) }.
% 0.80/1.51 (45) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 (49) {G2,W3,D2,L1,V0,M1} R(45,27) { ! convergent_lines( skol3, skol1 ) }.
% 0.80/1.51 (55) {G1,W3,D2,L1,V0,M1} R(17,28) { convergent_lines( skol2, skol3 ) }.
% 0.80/1.51 (57) {G2,W6,D2,L2,V1,M1} R(55,5) { convergent_lines( skol2, X ),
% 0.80/1.51 convergent_lines( skol3, X ) }.
% 0.80/1.51 (61) {G3,W3,D2,L1,V0,M1} R(57,49) { convergent_lines( skol2, skol1 ) }.
% 0.80/1.51 (64) {G4,W3,D2,L1,V0,M1} R(61,45) { convergent_lines( skol1, skol2 ) }.
% 0.80/1.51 (197) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y ),
% 0.80/1.51 convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 0.80/1.51 unorthogonal_lines( Y, Z ) }.
% 0.80/1.51 (3999) {G5,W6,D2,L2,V1,M1} R(197,26);r(64) { convergent_lines( skol1, X ),
% 0.80/1.51 unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 (4004) {G6,W0,D0,L0,V0,M0} R(3999,28);r(27) { }.
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 % SZS output end Refutation
% 0.80/1.51 found a proof!
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Unprocessed initial clauses:
% 0.80/1.51
% 0.80/1.51 (4006) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.80/1.51 (4007) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.80/1.51 (4008) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.80/1.51 (4009) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.80/1.51 , Z ), distinct_points( Y, Z ) }.
% 0.80/1.51 (4010) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.80/1.51 Z ), distinct_lines( Y, Z ) }.
% 0.80/1.51 (4011) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.80/1.51 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.80/1.51 (4012) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.80/1.51 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.80/1.51 (4013) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.80/1.51 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.80/1.51 (4014) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.80/1.51 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.80/1.51 (4015) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.80/1.51 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.80/1.51 (4016) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.80/1.51 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.80/1.51 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.80/1.51 (4017) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.80/1.51 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.80/1.51 (4018) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.80/1.51 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.80/1.51 (4019) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.80/1.51 , Z ), convergent_lines( X, Z ) }.
% 0.80/1.51 (4020) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.80/1.51 , X ), Y ) }.
% 0.80/1.51 (4021) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.80/1.51 parallel_through_point( Y, X ) ) }.
% 0.80/1.51 (4022) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.80/1.51 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 (4023) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 0.80/1.51 ( X, Y ) }.
% 0.80/1.51 (4024) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 0.80/1.51 (4025) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.80/1.51 }.
% 0.80/1.51 (4026) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 0.80/1.51 }.
% 0.80/1.51 (4027) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 0.80/1.51 }.
% 0.80/1.51 (4028) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 0.80/1.51 (4029) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 0.80/1.51 orthogonal_through_point( Y, X ), Y ) }.
% 0.80/1.51 (4030) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.80/1.51 orthogonal_through_point( Y, X ) ) }.
% 0.80/1.51 (4031) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 0.80/1.51 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.80/1.51 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 0.80/1.51 (4032) {G0,W3,D2,L1,V0,M1} { unorthogonal_lines( skol1, skol2 ) }.
% 0.80/1.51 (4033) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3 ) }.
% 0.80/1.51 (4034) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol2, skol3 ) }.
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Total Proof:
% 0.80/1.51
% 0.80/1.51 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.80/1.51 parent0: (4008) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.80/1.51 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.80/1.51 parent0: (4011) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.80/1.51 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Y
% 0.80/1.51 Z := Z
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 2
% 0.80/1.51 1 ==> 0
% 0.80/1.51 2 ==> 1
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.80/1.51 unorthogonal_lines( X, Y ) }.
% 0.80/1.51 parent0: (4023) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 0.80/1.51 unorthogonal_lines( X, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Y
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 1 ==> 1
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.80/1.51 }.
% 0.80/1.51 parent0: (4025) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Y
% 0.80/1.51 Z := Z
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 1 ==> 1
% 0.80/1.51 2 ==> 3
% 0.80/1.51 3 ==> 2
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 0.80/1.51 alpha1( X, Y ) }.
% 0.80/1.51 parent0: (4026) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines(
% 0.80/1.51 X, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Y
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 1
% 0.80/1.51 1 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2
% 0.80/1.51 ) }.
% 0.80/1.51 parent0: (4032) {G0,W3,D2,L1,V0,M1} { unorthogonal_lines( skol1, skol2 )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (27) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol3
% 0.80/1.51 ) }.
% 0.80/1.51 parent0: (4033) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2,
% 0.80/1.51 skol3 ) }.
% 0.80/1.51 parent0: (4034) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol2, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4104) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.80/1.51 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.80/1.51 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Y
% 0.80/1.51 Z := X
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (45) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 parent0: (4104) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := Y
% 0.80/1.51 Y := X
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 1
% 0.80/1.51 1 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4106) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol1
% 0.80/1.51 ) }.
% 0.80/1.51 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 parent1[1]: (45) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 X := skol1
% 0.80/1.51 Y := skol3
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (49) {G2,W3,D2,L1,V0,M1} R(45,27) { ! convergent_lines( skol3
% 0.80/1.51 , skol1 ) }.
% 0.80/1.51 parent0: (4106) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol1 )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4107) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 parent0[0]: (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol3
% 0.80/1.51 ) }.
% 0.80/1.51 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.80/1.51 unorthogonal_lines( X, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 X := skol2
% 0.80/1.51 Y := skol3
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (55) {G1,W3,D2,L1,V0,M1} R(17,28) { convergent_lines( skol2,
% 0.80/1.51 skol3 ) }.
% 0.80/1.51 parent0: (4107) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4108) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol2, X ),
% 0.80/1.51 convergent_lines( skol3, X ) }.
% 0.80/1.51 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.80/1.51 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.80/1.51 parent1[0]: (55) {G1,W3,D2,L1,V0,M1} R(17,28) { convergent_lines( skol2,
% 0.80/1.51 skol3 ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := skol2
% 0.80/1.51 Y := skol3
% 0.80/1.51 Z := X
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (57) {G2,W6,D2,L2,V1,M1} R(55,5) { convergent_lines( skol2, X
% 0.80/1.51 ), convergent_lines( skol3, X ) }.
% 0.80/1.51 parent0: (4108) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol2, X ),
% 0.80/1.51 convergent_lines( skol3, X ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 1 ==> 1
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4109) {G3,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 0.80/1.51 }.
% 0.80/1.51 parent0[0]: (49) {G2,W3,D2,L1,V0,M1} R(45,27) { ! convergent_lines( skol3,
% 0.80/1.51 skol1 ) }.
% 0.80/1.51 parent1[1]: (57) {G2,W6,D2,L2,V1,M1} R(55,5) { convergent_lines( skol2, X )
% 0.80/1.51 , convergent_lines( skol3, X ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 X := skol1
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (61) {G3,W3,D2,L1,V0,M1} R(57,49) { convergent_lines( skol2,
% 0.80/1.51 skol1 ) }.
% 0.80/1.51 parent0: (4109) {G3,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4110) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 0.80/1.51 }.
% 0.80/1.51 parent0[0]: (45) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.80/1.51 convergent_lines( X, Y ) }.
% 0.80/1.51 parent1[0]: (61) {G3,W3,D2,L1,V0,M1} R(57,49) { convergent_lines( skol2,
% 0.80/1.51 skol1 ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := skol1
% 0.80/1.51 Y := skol2
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (64) {G4,W3,D2,L1,V0,M1} R(61,45) { convergent_lines( skol1,
% 0.80/1.51 skol2 ) }.
% 0.80/1.51 parent0: (4110) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4112) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 0.80/1.51 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 0.80/1.51 unorthogonal_lines( Z, Y ) }.
% 0.80/1.51 parent0[1]: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1
% 0.80/1.51 ( X, Y ) }.
% 0.80/1.51 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 0.80/1.51 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Y
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Z
% 0.80/1.51 Z := Y
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (197) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 0.80/1.51 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 0.80/1.51 unorthogonal_lines( Y, Z ) }.
% 0.80/1.51 parent0: (4112) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 0.80/1.51 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 0.80/1.51 unorthogonal_lines( Z, Y ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 Y := Z
% 0.80/1.51 Z := Y
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 1
% 0.80/1.51 1 ==> 0
% 0.80/1.51 2 ==> 2
% 0.80/1.51 3 ==> 3
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4113) {G1,W9,D2,L3,V1,M3} { ! convergent_lines( skol1, skol2
% 0.80/1.51 ), convergent_lines( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 parent0[2]: (197) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 0.80/1.51 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 0.80/1.51 unorthogonal_lines( Y, Z ) }.
% 0.80/1.51 parent1[0]: (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2 )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := skol1
% 0.80/1.51 Y := skol2
% 0.80/1.51 Z := X
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4114) {G2,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 0.80/1.51 unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 parent0[0]: (4113) {G1,W9,D2,L3,V1,M3} { ! convergent_lines( skol1, skol2
% 0.80/1.51 ), convergent_lines( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 parent1[0]: (64) {G4,W3,D2,L1,V0,M1} R(61,45) { convergent_lines( skol1,
% 0.80/1.51 skol2 ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (3999) {G5,W6,D2,L2,V1,M1} R(197,26);r(64) { convergent_lines
% 0.80/1.51 ( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 parent0: (4114) {G2,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 0.80/1.51 unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 X := X
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 0 ==> 0
% 0.80/1.51 1 ==> 1
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4115) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 parent0[0]: (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol3
% 0.80/1.51 ) }.
% 0.80/1.51 parent1[1]: (3999) {G5,W6,D2,L2,V1,M1} R(197,26);r(64) { convergent_lines(
% 0.80/1.51 skol1, X ), unorthogonal_lines( skol2, X ) }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 X := skol3
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 resolution: (4116) {G1,W0,D0,L0,V0,M0} { }.
% 0.80/1.51 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 parent1[0]: (4115) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 )
% 0.80/1.51 }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 substitution1:
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 subsumption: (4004) {G6,W0,D0,L0,V0,M0} R(3999,28);r(27) { }.
% 0.80/1.51 parent0: (4116) {G1,W0,D0,L0,V0,M0} { }.
% 0.80/1.51 substitution0:
% 0.80/1.51 end
% 0.80/1.51 permutation0:
% 0.80/1.51 end
% 0.80/1.51
% 0.80/1.51 Proof check complete!
% 0.80/1.51
% 0.80/1.51 Memory use:
% 0.80/1.51
% 0.80/1.51 space for terms: 52054
% 0.80/1.51 space for clauses: 159007
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 clauses generated: 38523
% 0.80/1.51 clauses kept: 4005
% 0.80/1.51 clauses selected: 516
% 0.80/1.51 clauses deleted: 1
% 0.80/1.51 clauses inuse deleted: 0
% 0.80/1.51
% 0.80/1.51 subsentry: 584216
% 0.80/1.51 literals s-matched: 184533
% 0.80/1.51 literals matched: 184503
% 0.80/1.51 full subsumption: 97797
% 0.80/1.51
% 0.80/1.51 checksum: -1581875768
% 0.80/1.51
% 0.80/1.51
% 0.80/1.51 Bliksem ended
%------------------------------------------------------------------------------