%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 02:52:46 EDT 2022
% Result : Theorem 1.24s 1.67s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 18:24:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.24/1.67 *** allocated 10000 integers for termspace/termends
% 1.24/1.67 *** allocated 10000 integers for clauses
% 1.24/1.67 *** allocated 10000 integers for justifications
% 1.24/1.67 Bliksem 1.12
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 Automatic Strategy Selection
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 Clauses:
% 1.24/1.67
% 1.24/1.67 { ! distinct_points( X, X ) }.
% 1.24/1.67 { ! distinct_lines( X, X ) }.
% 1.24/1.67 { ! convergent_lines( X, X ) }.
% 1.24/1.67 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.24/1.67 ) }.
% 1.24/1.67 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.24/1.67 }.
% 1.24/1.67 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.24/1.67 , Z ) }.
% 1.24/1.67 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.24/1.67 , Y ) ) }.
% 1.24/1.67 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.24/1.67 , Y ) ) }.
% 1.24/1.67 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.24/1.67 , Y ), X ) }.
% 1.24/1.67 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.24/1.67 , Y ), Y ) }.
% 1.24/1.67 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.24/1.67 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.24/1.67 apart_point_and_line( Y, T ) }.
% 1.24/1.67 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.24/1.67 apart_point_and_line( Z, Y ) }.
% 1.24/1.67 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.24/1.67 apart_point_and_line( X, Z ) }.
% 1.24/1.67 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.24/1.67 Z ) }.
% 1.24/1.67 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.24/1.67 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.24/1.67 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.24/1.67 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.24/1.67 { apart_point_and_line( skol3, skol4 ) }.
% 1.24/1.67 { ! apart_point_and_line( skol3, skol1 ) }.
% 1.24/1.67 { ! apart_point_and_line( skol3, skol2 ) }.
% 1.24/1.67 { ! convergent_lines( skol1, skol4 ) }.
% 1.24/1.67 { ! convergent_lines( skol2, skol4 ) }.
% 1.24/1.67 { distinct_lines( skol1, skol2 ) }.
% 1.24/1.67
% 1.24/1.67 percentage equality = 0.000000, percentage horn = 0.652174
% 1.24/1.67 This a non-horn, non-equality problem
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 Options Used:
% 1.24/1.67
% 1.24/1.67 useres = 1
% 1.24/1.67 useparamod = 0
% 1.24/1.67 useeqrefl = 0
% 1.24/1.67 useeqfact = 0
% 1.24/1.67 usefactor = 1
% 1.24/1.67 usesimpsplitting = 0
% 1.24/1.67 usesimpdemod = 0
% 1.24/1.67 usesimpres = 3
% 1.24/1.67
% 1.24/1.67 resimpinuse = 1000
% 1.24/1.67 resimpclauses = 20000
% 1.24/1.67 substype = standard
% 1.24/1.67 backwardsubs = 1
% 1.24/1.67 selectoldest = 5
% 1.24/1.67
% 1.24/1.67 litorderings [0] = split
% 1.24/1.67 litorderings [1] = liftord
% 1.24/1.67
% 1.24/1.67 termordering = none
% 1.24/1.67
% 1.24/1.67 litapriori = 1
% 1.24/1.67 termapriori = 0
% 1.24/1.67 litaposteriori = 0
% 1.24/1.67 termaposteriori = 0
% 1.24/1.67 demodaposteriori = 0
% 1.24/1.67 ordereqreflfact = 0
% 1.24/1.67
% 1.24/1.67 litselect = none
% 1.24/1.67
% 1.24/1.67 maxweight = 15
% 1.24/1.67 maxdepth = 30000
% 1.24/1.67 maxlength = 115
% 1.24/1.67 maxnrvars = 195
% 1.24/1.67 excuselevel = 1
% 1.24/1.67 increasemaxweight = 1
% 1.24/1.67
% 1.24/1.67 maxselected = 10000000
% 1.24/1.67 maxnrclauses = 10000000
% 1.24/1.67
% 1.24/1.67 showgenerated = 0
% 1.24/1.67 showkept = 0
% 1.24/1.67 showselected = 0
% 1.24/1.67 showdeleted = 0
% 1.24/1.67 showresimp = 1
% 1.24/1.67 showstatus = 2000
% 1.24/1.67
% 1.24/1.67 prologoutput = 0
% 1.24/1.67 nrgoals = 5000000
% 1.24/1.67 totalproof = 1
% 1.24/1.67
% 1.24/1.67 Symbols occurring in the translation:
% 1.24/1.67
% 1.24/1.67 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.24/1.67 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.24/1.67 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.24/1.67 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.67 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.67 distinct_points [36, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.24/1.67 distinct_lines [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.24/1.67 convergent_lines [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.24/1.67 line_connecting [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.24/1.67 apart_point_and_line [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.24/1.67 intersection_point [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.24/1.67 parallel_through_point [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 1.24/1.67 skol1 [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.24/1.67 skol2 [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.24/1.67 skol3 [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.24/1.67 skol4 [54, 0] (w:1, o:18, a:1, s:1, b:0).
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 Starting Search:
% 1.24/1.67
% 1.24/1.67 *** allocated 15000 integers for clauses
% 1.24/1.67 *** allocated 22500 integers for clauses
% 1.24/1.67 *** allocated 33750 integers for clauses
% 1.24/1.67 *** allocated 15000 integers for termspace/termends
% 1.24/1.67 *** allocated 50625 integers for clauses
% 1.24/1.67 Resimplifying inuse:
% 1.24/1.67 Done
% 1.24/1.67
% 1.24/1.67 *** allocated 22500 integers for termspace/termends
% 1.24/1.67 *** allocated 75937 integers for clauses
% 1.24/1.67 *** allocated 33750 integers for termspace/termends
% 1.24/1.67
% 1.24/1.67 Intermediate Status:
% 1.24/1.67 Generated: 15079
% 1.24/1.67 Kept: 2011
% 1.24/1.67 Inuse: 246
% 1.24/1.67 Deleted: 0
% 1.24/1.67 Deletedinuse: 0
% 1.24/1.67
% 1.24/1.67 Resimplifying inuse:
% 1.24/1.67 Done
% 1.24/1.67
% 1.24/1.67 *** allocated 113905 integers for clauses
% 1.24/1.67
% 1.24/1.67 Bliksems!, er is een bewijs:
% 1.24/1.67 % SZS status Theorem
% 1.24/1.67 % SZS output start Refutation
% 1.24/1.67
% 1.24/1.67 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 1.24/1.67 Z ), ! convergent_lines( X, Y ) }.
% 1.24/1.67 (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ), convergent_lines( X
% 1.24/1.67 , Y ), apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 1.24/1.67 (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol1 ) }.
% 1.24/1.67 (19) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol2 ) }.
% 1.24/1.67 (20) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol4 ) }.
% 1.24/1.67 (21) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol4 ) }.
% 1.24/1.67 (22) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 ) }.
% 1.24/1.67 (37) {G1,W6,D2,L2,V1,M2} R(5,20) { ! convergent_lines( skol1, X ),
% 1.24/1.67 convergent_lines( X, skol4 ) }.
% 1.24/1.67 (95) {G2,W3,D2,L1,V0,M1} R(37,21) { ! convergent_lines( skol1, skol2 ) }.
% 1.24/1.67 (221) {G1,W9,D2,L3,V1,M1} R(16,18) { convergent_lines( skol1, X ), !
% 1.24/1.67 distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.24/1.67 (2572) {G3,W3,D2,L1,V0,M1} R(221,19);r(95) { ! distinct_lines( skol1, skol2
% 1.24/1.67 ) }.
% 1.24/1.67 (2573) {G4,W0,D0,L0,V0,M0} S(2572);r(22) { }.
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 % SZS output end Refutation
% 1.24/1.67 found a proof!
% 1.24/1.67
% 1.24/1.67 *** allocated 50625 integers for termspace/termends
% 1.24/1.67
% 1.24/1.67 Unprocessed initial clauses:
% 1.24/1.67
% 1.24/1.67 (2575) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.24/1.67 (2576) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.24/1.67 (2577) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.24/1.67 (2578) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.24/1.67 , Z ), distinct_points( Y, Z ) }.
% 1.24/1.67 (2579) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.24/1.67 Z ), distinct_lines( Y, Z ) }.
% 1.24/1.67 (2580) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.24/1.67 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.24/1.67 (2581) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.24/1.67 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.24/1.67 (2582) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.24/1.67 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.24/1.67 (2583) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.24/1.67 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.67 (2584) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.24/1.67 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.67 (2585) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.24/1.67 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.24/1.67 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.24/1.67 (2586) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.67 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.24/1.67 (2587) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.67 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.24/1.67 (2588) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 1.24/1.67 , Z ), convergent_lines( X, Z ) }.
% 1.24/1.67 (2589) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 1.24/1.67 , X ), Y ) }.
% 1.24/1.67 (2590) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 1.24/1.67 parallel_through_point( Y, X ) ) }.
% 1.24/1.67 (2591) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 1.24/1.67 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 1.24/1.67 convergent_lines( X, Y ) }.
% 1.24/1.67 (2592) {G0,W3,D2,L1,V0,M1} { apart_point_and_line( skol3, skol4 ) }.
% 1.24/1.67 (2593) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol1 ) }.
% 1.24/1.67 (2594) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol2 ) }.
% 1.24/1.67 (2595) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol4 ) }.
% 1.24/1.67 (2596) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol4 ) }.
% 1.24/1.67 (2597) {G0,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol2 ) }.
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 Total Proof:
% 1.24/1.67
% 1.24/1.67 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.24/1.67 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.24/1.67 parent0: (2580) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 1.24/1.67 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 X := X
% 1.24/1.67 Y := Y
% 1.24/1.67 Z := Z
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 2
% 1.24/1.67 1 ==> 0
% 1.24/1.67 2 ==> 1
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 1.24/1.67 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.24/1.67 apart_point_and_line( Z, Y ) }.
% 1.24/1.67 parent0: (2591) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 1.24/1.67 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 1.24/1.67 convergent_lines( X, Y ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 X := X
% 1.24/1.67 Y := Y
% 1.24/1.67 Z := Z
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 1 ==> 2
% 1.24/1.67 2 ==> 3
% 1.24/1.67 3 ==> 1
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.24/1.67 skol1 ) }.
% 1.24/1.67 parent0: (2593) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol1
% 1.24/1.67 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (19) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.24/1.67 skol2 ) }.
% 1.24/1.67 parent0: (2594) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol2
% 1.24/1.67 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (20) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol4
% 1.24/1.67 ) }.
% 1.24/1.67 parent0: (2595) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol4 )
% 1.24/1.67 }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (21) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol4
% 1.24/1.67 ) }.
% 1.24/1.67 parent0: (2596) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol4 )
% 1.24/1.67 }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (22) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 )
% 1.24/1.67 }.
% 1.24/1.67 parent0: (2597) {G0,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol2 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 resolution: (2661) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol4 ), !
% 1.24/1.67 convergent_lines( skol1, X ) }.
% 1.24/1.67 parent0[0]: (20) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol4 )
% 1.24/1.67 }.
% 1.24/1.67 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.24/1.67 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 substitution1:
% 1.24/1.67 X := skol1
% 1.24/1.67 Y := X
% 1.24/1.67 Z := skol4
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (37) {G1,W6,D2,L2,V1,M2} R(5,20) { ! convergent_lines( skol1,
% 1.24/1.67 X ), convergent_lines( X, skol4 ) }.
% 1.24/1.67 parent0: (2661) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol4 ), !
% 1.24/1.67 convergent_lines( skol1, X ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 X := X
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 1
% 1.24/1.67 1 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 resolution: (2663) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2
% 1.24/1.67 ) }.
% 1.24/1.67 parent0[0]: (21) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol4 )
% 1.24/1.67 }.
% 1.24/1.67 parent1[1]: (37) {G1,W6,D2,L2,V1,M2} R(5,20) { ! convergent_lines( skol1, X
% 1.24/1.67 ), convergent_lines( X, skol4 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 substitution1:
% 1.24/1.67 X := skol2
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (95) {G2,W3,D2,L1,V0,M1} R(37,21) { ! convergent_lines( skol1
% 1.24/1.67 , skol2 ) }.
% 1.24/1.67 parent0: (2663) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2 )
% 1.24/1.67 }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 resolution: (2664) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( skol1, X ),
% 1.24/1.67 convergent_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.24/1.67 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.24/1.67 skol1 ) }.
% 1.24/1.67 parent1[2]: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 1.24/1.67 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.24/1.67 apart_point_and_line( Z, Y ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 substitution1:
% 1.24/1.67 X := skol1
% 1.24/1.67 Y := X
% 1.24/1.67 Z := skol3
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (221) {G1,W9,D2,L3,V1,M1} R(16,18) { convergent_lines( skol1,
% 1.24/1.67 X ), ! distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.24/1.67 parent0: (2664) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( skol1, X ),
% 1.24/1.67 convergent_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 X := X
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 1
% 1.24/1.67 1 ==> 0
% 1.24/1.67 2 ==> 2
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 resolution: (2666) {G1,W6,D2,L2,V0,M2} { convergent_lines( skol1, skol2 )
% 1.24/1.67 , ! distinct_lines( skol1, skol2 ) }.
% 1.24/1.67 parent0[0]: (19) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.24/1.67 skol2 ) }.
% 1.24/1.67 parent1[2]: (221) {G1,W9,D2,L3,V1,M1} R(16,18) { convergent_lines( skol1, X
% 1.24/1.67 ), ! distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 substitution1:
% 1.24/1.67 X := skol2
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 resolution: (2667) {G2,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 )
% 1.24/1.67 }.
% 1.24/1.67 parent0[0]: (95) {G2,W3,D2,L1,V0,M1} R(37,21) { ! convergent_lines( skol1,
% 1.24/1.67 skol2 ) }.
% 1.24/1.67 parent1[0]: (2666) {G1,W6,D2,L2,V0,M2} { convergent_lines( skol1, skol2 )
% 1.24/1.67 , ! distinct_lines( skol1, skol2 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 substitution1:
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (2572) {G3,W3,D2,L1,V0,M1} R(221,19);r(95) { ! distinct_lines
% 1.24/1.67 ( skol1, skol2 ) }.
% 1.24/1.67 parent0: (2667) {G2,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 0 ==> 0
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 resolution: (2668) {G1,W0,D0,L0,V0,M0} { }.
% 1.24/1.67 parent0[0]: (2572) {G3,W3,D2,L1,V0,M1} R(221,19);r(95) { ! distinct_lines(
% 1.24/1.67 skol1, skol2 ) }.
% 1.24/1.67 parent1[0]: (22) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 ) }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 substitution1:
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 subsumption: (2573) {G4,W0,D0,L0,V0,M0} S(2572);r(22) { }.
% 1.24/1.67 parent0: (2668) {G1,W0,D0,L0,V0,M0} { }.
% 1.24/1.67 substitution0:
% 1.24/1.67 end
% 1.24/1.67 permutation0:
% 1.24/1.67 end
% 1.24/1.67
% 1.24/1.67 Proof check complete!
% 1.24/1.67
% 1.24/1.67 Memory use:
% 1.24/1.67
% 1.24/1.67 space for terms: 33718
% 1.24/1.67 space for clauses: 94278
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 clauses generated: 43940
% 1.24/1.67 clauses kept: 2574
% 1.24/1.67 clauses selected: 402
% 1.24/1.67 clauses deleted: 1
% 1.24/1.67 clauses inuse deleted: 0
% 1.24/1.67
% 1.24/1.67 subsentry: 969128
% 1.24/1.67 literals s-matched: 257922
% 1.24/1.67 literals matched: 257892
% 1.24/1.67 full subsumption: 165737
% 1.24/1.67
% 1.24/1.67 checksum: 1838517561
% 1.24/1.67
% 1.24/1.67
% 1.24/1.67 Bliksem ended
%------------------------------------------------------------------------------