TSTP Solution File: GEO209+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 1.33s 1.70s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Jun 17 17:53:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.33/1.70 *** allocated 10000 integers for termspace/termends
% 1.33/1.70 *** allocated 10000 integers for clauses
% 1.33/1.70 *** allocated 10000 integers for justifications
% 1.33/1.70 Bliksem 1.12
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Automatic Strategy Selection
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Clauses:
% 1.33/1.70
% 1.33/1.70 { ! distinct_points( X, X ) }.
% 1.33/1.70 { ! distinct_lines( X, X ) }.
% 1.33/1.70 { ! convergent_lines( X, X ) }.
% 1.33/1.70 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.33/1.70 ) }.
% 1.33/1.70 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.33/1.70 }.
% 1.33/1.70 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.33/1.70 , Z ) }.
% 1.33/1.70 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.33/1.70 , Y ) ), distinct_points( Z, X ) }.
% 1.33/1.70 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.33/1.70 , Y ) ), distinct_points( Z, Y ) }.
% 1.33/1.70 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.33/1.70 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.33/1.70 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.33/1.70 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.33/1.70 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.33/1.70 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.70 apart_point_and_line( Y, T ) }.
% 1.33/1.70 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.33/1.70 apart_point_and_line( Z, Y ) }.
% 1.33/1.70 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.33/1.70 apart_point_and_line( X, Z ) }.
% 1.33/1.70 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.33/1.70 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.33/1.70 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.33/1.70 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.33/1.70 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.33/1.70 { apart_point_and_line( skol3, skol4 ) }.
% 1.33/1.70 { ! apart_point_and_line( skol3, skol1 ) }.
% 1.33/1.70 { ! apart_point_and_line( skol3, skol2 ) }.
% 1.33/1.70 { ! convergent_lines( skol1, skol4 ) }.
% 1.33/1.70 { ! convergent_lines( skol2, skol4 ) }.
% 1.33/1.70 { distinct_lines( skol1, skol2 ) }.
% 1.33/1.70
% 1.33/1.70 percentage equality = 0.000000, percentage horn = 0.695652
% 1.33/1.70 This a non-horn, non-equality problem
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Options Used:
% 1.33/1.70
% 1.33/1.70 useres = 1
% 1.33/1.70 useparamod = 0
% 1.33/1.70 useeqrefl = 0
% 1.33/1.70 useeqfact = 0
% 1.33/1.70 usefactor = 1
% 1.33/1.70 usesimpsplitting = 0
% 1.33/1.70 usesimpdemod = 0
% 1.33/1.70 usesimpres = 3
% 1.33/1.70
% 1.33/1.70 resimpinuse = 1000
% 1.33/1.70 resimpclauses = 20000
% 1.33/1.70 substype = standard
% 1.33/1.70 backwardsubs = 1
% 1.33/1.70 selectoldest = 5
% 1.33/1.70
% 1.33/1.70 litorderings [0] = split
% 1.33/1.70 litorderings [1] = liftord
% 1.33/1.70
% 1.33/1.70 termordering = none
% 1.33/1.70
% 1.33/1.70 litapriori = 1
% 1.33/1.70 termapriori = 0
% 1.33/1.70 litaposteriori = 0
% 1.33/1.70 termaposteriori = 0
% 1.33/1.70 demodaposteriori = 0
% 1.33/1.70 ordereqreflfact = 0
% 1.33/1.70
% 1.33/1.70 litselect = none
% 1.33/1.70
% 1.33/1.70 maxweight = 15
% 1.33/1.70 maxdepth = 30000
% 1.33/1.70 maxlength = 115
% 1.33/1.70 maxnrvars = 195
% 1.33/1.70 excuselevel = 1
% 1.33/1.70 increasemaxweight = 1
% 1.33/1.70
% 1.33/1.70 maxselected = 10000000
% 1.33/1.70 maxnrclauses = 10000000
% 1.33/1.70
% 1.33/1.70 showgenerated = 0
% 1.33/1.70 showkept = 0
% 1.33/1.70 showselected = 0
% 1.33/1.70 showdeleted = 0
% 1.33/1.70 showresimp = 1
% 1.33/1.70 showstatus = 2000
% 1.33/1.70
% 1.33/1.70 prologoutput = 0
% 1.33/1.70 nrgoals = 5000000
% 1.33/1.70 totalproof = 1
% 1.33/1.70
% 1.33/1.70 Symbols occurring in the translation:
% 1.33/1.70
% 1.33/1.70 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.33/1.70 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.33/1.70 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.33/1.70 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.70 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.70 distinct_points [36, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.33/1.70 distinct_lines [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.33/1.70 convergent_lines [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.33/1.70 line_connecting [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.33/1.70 apart_point_and_line [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.33/1.70 intersection_point [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.33/1.70 parallel_through_point [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 1.33/1.70 skol1 [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.33/1.70 skol2 [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.33/1.70 skol3 [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.33/1.70 skol4 [54, 0] (w:1, o:18, a:1, s:1, b:0).
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Starting Search:
% 1.33/1.70
% 1.33/1.70 *** allocated 15000 integers for clauses
% 1.33/1.70 *** allocated 22500 integers for clauses
% 1.33/1.70 *** allocated 33750 integers for clauses
% 1.33/1.70 *** allocated 15000 integers for termspace/termends
% 1.33/1.70 *** allocated 50625 integers for clauses
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 *** allocated 22500 integers for termspace/termends
% 1.33/1.70 *** allocated 75937 integers for clauses
% 1.33/1.70 *** allocated 33750 integers for termspace/termends
% 1.33/1.70
% 1.33/1.70 Intermediate Status:
% 1.33/1.70 Generated: 14211
% 1.33/1.70 Kept: 2001
% 1.33/1.70 Inuse: 246
% 1.33/1.70 Deleted: 0
% 1.33/1.70 Deletedinuse: 0
% 1.33/1.70
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 *** allocated 113905 integers for clauses
% 1.33/1.70 *** allocated 50625 integers for termspace/termends
% 1.33/1.70
% 1.33/1.70 Bliksems!, er is een bewijs:
% 1.33/1.70 % SZS status Theorem
% 1.33/1.70 % SZS output start Refutation
% 1.33/1.70
% 1.33/1.70 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 1.33/1.70 Z ), ! convergent_lines( X, Y ) }.
% 1.33/1.70 (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ), convergent_lines( X
% 1.33/1.70 , Y ), apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 1.33/1.70 (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol1 ) }.
% 1.33/1.70 (19) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3, skol2 ) }.
% 1.33/1.70 (20) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol4 ) }.
% 1.33/1.70 (21) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol4 ) }.
% 1.33/1.70 (22) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 ) }.
% 1.33/1.70 (37) {G1,W6,D2,L2,V1,M2} R(5,20) { ! convergent_lines( skol1, X ),
% 1.33/1.70 convergent_lines( X, skol4 ) }.
% 1.33/1.70 (99) {G2,W3,D2,L1,V0,M1} R(37,21) { ! convergent_lines( skol1, skol2 ) }.
% 1.33/1.70 (207) {G1,W9,D2,L3,V1,M1} R(16,18) { convergent_lines( skol1, X ), !
% 1.33/1.70 distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.70 (2621) {G3,W3,D2,L1,V0,M1} R(207,19);r(99) { ! distinct_lines( skol1, skol2
% 1.33/1.70 ) }.
% 1.33/1.70 (2622) {G4,W0,D0,L0,V0,M0} S(2621);r(22) { }.
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 % SZS output end Refutation
% 1.33/1.70 found a proof!
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Unprocessed initial clauses:
% 1.33/1.70
% 1.33/1.70 (2624) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.33/1.70 (2625) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.33/1.70 (2626) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.33/1.70 (2627) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.33/1.70 , Z ), distinct_points( Y, Z ) }.
% 1.33/1.70 (2628) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.33/1.70 Z ), distinct_lines( Y, Z ) }.
% 1.33/1.70 (2629) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.33/1.70 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.33/1.70 (2630) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.33/1.70 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.33/1.70 ) }.
% 1.33/1.70 (2631) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.33/1.70 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.33/1.70 ) }.
% 1.33/1.70 (2632) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.33/1.70 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.33/1.70 Y ) ) }.
% 1.33/1.70 (2633) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.33/1.70 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.33/1.70 Y ) ) }.
% 1.33/1.70 (2634) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.33/1.70 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.33/1.70 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.33/1.70 (2635) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.70 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.33/1.70 (2636) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.70 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.33/1.70 (2637) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.33/1.70 , Y ) }.
% 1.33/1.70 (2638) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 1.33/1.70 , X ), Y ) }.
% 1.33/1.70 (2639) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 1.33/1.70 parallel_through_point( Y, X ) ) }.
% 1.33/1.70 (2640) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 1.33/1.70 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 1.33/1.70 convergent_lines( X, Y ) }.
% 1.33/1.70 (2641) {G0,W3,D2,L1,V0,M1} { apart_point_and_line( skol3, skol4 ) }.
% 1.33/1.70 (2642) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol1 ) }.
% 1.33/1.70 (2643) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol2 ) }.
% 1.33/1.70 (2644) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol4 ) }.
% 1.33/1.70 (2645) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol4 ) }.
% 1.33/1.70 (2646) {G0,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol2 ) }.
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Total Proof:
% 1.33/1.70
% 1.33/1.70 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.33/1.70 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.33/1.70 parent0: (2629) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 1.33/1.70 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 2
% 1.33/1.70 1 ==> 0
% 1.33/1.70 2 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 1.33/1.70 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.33/1.70 apart_point_and_line( Z, Y ) }.
% 1.33/1.70 parent0: (2640) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 1.33/1.70 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 1.33/1.70 convergent_lines( X, Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 2
% 1.33/1.70 2 ==> 3
% 1.33/1.70 3 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.33/1.70 skol1 ) }.
% 1.33/1.70 parent0: (2642) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol1
% 1.33/1.70 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (19) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.33/1.70 skol2 ) }.
% 1.33/1.70 parent0: (2643) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol3, skol2
% 1.33/1.70 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (20) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol4
% 1.33/1.70 ) }.
% 1.33/1.70 parent0: (2644) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol4 )
% 1.33/1.70 }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (21) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol4
% 1.33/1.70 ) }.
% 1.33/1.70 parent0: (2645) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol4 )
% 1.33/1.70 }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (22) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 )
% 1.33/1.70 }.
% 1.33/1.70 parent0: (2646) {G0,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol2 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (2710) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol4 ), !
% 1.33/1.70 convergent_lines( skol1, X ) }.
% 1.33/1.70 parent0[0]: (20) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol1, skol4 )
% 1.33/1.70 }.
% 1.33/1.70 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.33/1.70 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := skol1
% 1.33/1.70 Y := X
% 1.33/1.70 Z := skol4
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (37) {G1,W6,D2,L2,V1,M2} R(5,20) { ! convergent_lines( skol1,
% 1.33/1.70 X ), convergent_lines( X, skol4 ) }.
% 1.33/1.70 parent0: (2710) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol4 ), !
% 1.33/1.70 convergent_lines( skol1, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 1
% 1.33/1.70 1 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (2712) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2
% 1.33/1.70 ) }.
% 1.33/1.70 parent0[0]: (21) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol4 )
% 1.33/1.70 }.
% 1.33/1.70 parent1[1]: (37) {G1,W6,D2,L2,V1,M2} R(5,20) { ! convergent_lines( skol1, X
% 1.33/1.70 ), convergent_lines( X, skol4 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := skol2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (99) {G2,W3,D2,L1,V0,M1} R(37,21) { ! convergent_lines( skol1
% 1.33/1.70 , skol2 ) }.
% 1.33/1.70 parent0: (2712) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2 )
% 1.33/1.70 }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (2713) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( skol1, X ),
% 1.33/1.70 convergent_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.70 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.33/1.70 skol1 ) }.
% 1.33/1.70 parent1[2]: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 1.33/1.70 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.33/1.70 apart_point_and_line( Z, Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := skol1
% 1.33/1.70 Y := X
% 1.33/1.70 Z := skol3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (207) {G1,W9,D2,L3,V1,M1} R(16,18) { convergent_lines( skol1,
% 1.33/1.70 X ), ! distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.70 parent0: (2713) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( skol1, X ),
% 1.33/1.70 convergent_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 1
% 1.33/1.70 1 ==> 0
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (2715) {G1,W6,D2,L2,V0,M2} { convergent_lines( skol1, skol2 )
% 1.33/1.70 , ! distinct_lines( skol1, skol2 ) }.
% 1.33/1.70 parent0[0]: (19) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.33/1.70 skol2 ) }.
% 1.33/1.70 parent1[2]: (207) {G1,W9,D2,L3,V1,M1} R(16,18) { convergent_lines( skol1, X
% 1.33/1.70 ), ! distinct_lines( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := skol2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (2716) {G2,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 )
% 1.33/1.70 }.
% 1.33/1.70 parent0[0]: (99) {G2,W3,D2,L1,V0,M1} R(37,21) { ! convergent_lines( skol1,
% 1.33/1.70 skol2 ) }.
% 1.33/1.70 parent1[0]: (2715) {G1,W6,D2,L2,V0,M2} { convergent_lines( skol1, skol2 )
% 1.33/1.70 , ! distinct_lines( skol1, skol2 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (2621) {G3,W3,D2,L1,V0,M1} R(207,19);r(99) { ! distinct_lines
% 1.33/1.70 ( skol1, skol2 ) }.
% 1.33/1.70 parent0: (2716) {G2,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (2717) {G1,W0,D0,L0,V0,M0} { }.
% 1.33/1.70 parent0[0]: (2621) {G3,W3,D2,L1,V0,M1} R(207,19);r(99) { ! distinct_lines(
% 1.33/1.70 skol1, skol2 ) }.
% 1.33/1.70 parent1[0]: (22) {G0,W3,D2,L1,V0,M1} I { distinct_lines( skol1, skol2 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (2622) {G4,W0,D0,L0,V0,M0} S(2621);r(22) { }.
% 1.33/1.70 parent0: (2717) {G1,W0,D0,L0,V0,M0} { }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 Proof check complete!
% 1.33/1.70
% 1.33/1.70 Memory use:
% 1.33/1.70
% 1.33/1.70 space for terms: 34494
% 1.33/1.70 space for clauses: 95953
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 clauses generated: 44424
% 1.33/1.70 clauses kept: 2623
% 1.33/1.70 clauses selected: 409
% 1.33/1.70 clauses deleted: 1
% 1.33/1.70 clauses inuse deleted: 0
% 1.33/1.70
% 1.33/1.70 subsentry: 973952
% 1.33/1.70 literals s-matched: 260130
% 1.33/1.70 literals matched: 260100
% 1.33/1.70 full subsumption: 167618
% 1.33/1.70
% 1.33/1.70 checksum: 1821646088
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Bliksem ended
%------------------------------------------------------------------------------