%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 02:52:19 EDT 2022
% Result : Theorem 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 15:30:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08
% 0.42/1.08 { ! distinct_points( X, X ) }.
% 0.42/1.08 { ! distinct_lines( X, X ) }.
% 0.42/1.08 { ! convergent_lines( X, X ) }.
% 0.42/1.08 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.42/1.08 ) }.
% 0.42/1.08 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.42/1.08 }.
% 0.42/1.08 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.42/1.08 , Z ) }.
% 0.42/1.08 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.42/1.08 , Y ) ) }.
% 0.42/1.08 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.42/1.08 , Y ) ) }.
% 0.42/1.08 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.42/1.08 , Y ), X ) }.
% 0.42/1.08 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.42/1.08 , Y ), Y ) }.
% 0.42/1.08 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.42/1.08 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.42/1.08 apart_point_and_line( Y, T ) }.
% 0.42/1.08 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.42/1.08 apart_point_and_line( Z, Y ) }.
% 0.42/1.08 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.42/1.08 apart_point_and_line( X, Z ) }.
% 0.42/1.08 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.42/1.08 Z ) }.
% 0.42/1.08 { distinct_points( skol1, skol2 ) }.
% 0.42/1.08 { apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.42/1.08 { ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3
% 0.42/1.08 , skol1 ) ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 0.42/1.08 line_connecting( skol3, skol2 ) ) }.
% 0.42/1.08
% 0.42/1.08 percentage equality = 0.000000, percentage horn = 0.588235
% 0.42/1.08 This a non-horn, non-equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 0
% 0.42/1.08 useeqrefl = 0
% 0.42/1.08 useeqfact = 0
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 0
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = standard
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = liftord
% 0.42/1.08
% 0.42/1.08 termordering = none
% 0.42/1.08
% 0.42/1.08 litapriori = 1
% 0.42/1.08 termapriori = 0
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = none
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 0
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.42/1.08 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.08 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.42/1.08 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.08 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.08 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.08 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/1.08 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.08 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08 *** allocated 15000 integers for clauses
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Theorem
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.42/1.08 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.42/1.08 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.42/1.08 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.42/1.08 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 0.42/1.08 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.42/1.08 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 0.42/1.08 X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.42/1.08 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.42/1.08 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3, line_connecting(
% 0.42/1.08 skol1, skol2 ) ) }.
% 0.42/1.08 (16) {G0,W14,D3,L2,V0,M1} I { ! distinct_lines( line_connecting( skol1,
% 0.42/1.08 skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.42/1.08 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.42/1.08 (80) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X ),
% 0.42/1.08 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.42/1.08 (82) {G2,W3,D2,L1,V0,M1} R(80,6);r(14) { distinct_points( skol3, skol1 )
% 0.42/1.08 }.
% 0.42/1.08 (83) {G2,W3,D2,L1,V0,M1} R(80,7);r(14) { distinct_points( skol3, skol2 )
% 0.42/1.08 }.
% 0.42/1.08 (101) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( line_connecting( skol1
% 0.42/1.08 , skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 0.42/1.08 (125) {G2,W10,D3,L2,V1,M1} R(101,6) { ! distinct_points( skol3, X ),
% 0.42/1.08 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.42/1.08 X ) ) }.
% 0.42/1.08 (286) {G3,W7,D3,L1,V0,M1} R(125,16);r(83) { ! distinct_lines(
% 0.42/1.08 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.42/1.08 (290) {G4,W0,D0,L0,V0,M0} R(286,125);r(82) { }.
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Unprocessed initial clauses:
% 0.42/1.08
% 0.42/1.08 (292) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.42/1.08 (293) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.42/1.08 (294) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.42/1.08 (295) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.42/1.08 , Z ), distinct_points( Y, Z ) }.
% 0.42/1.08 (296) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.42/1.08 ), distinct_lines( Y, Z ) }.
% 0.42/1.08 (297) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.42/1.08 X, Z ), convergent_lines( Y, Z ) }.
% 0.42/1.08 (298) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.42/1.08 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.42/1.08 (299) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.42/1.08 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.42/1.08 (300) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.42/1.08 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.42/1.09 (301) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.42/1.09 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.42/1.09 (302) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.42/1.09 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.42/1.09 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.42/1.09 (303) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.42/1.09 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.42/1.09 (304) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.42/1.09 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.42/1.09 (305) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.42/1.09 , Z ), convergent_lines( X, Z ) }.
% 0.42/1.09 (306) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.42/1.09 (307) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3, line_connecting(
% 0.42/1.09 skol1, skol2 ) ) }.
% 0.42/1.09 (308) {G0,W14,D3,L2,V0,M2} { ! distinct_lines( line_connecting( skol1,
% 0.42/1.09 skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.42/1.09 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Total Proof:
% 0.42/1.09
% 0.42/1.09 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.42/1.09 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.42/1.09 parent0: (298) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.42/1.09 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.42/1.09 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.42/1.09 parent0: (299) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.42/1.09 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.42/1.09 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.42/1.09 parent0: (303) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.42/1.09 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 Z := Z
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 2
% 0.42/1.09 1 ==> 0
% 0.42/1.09 2 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.42/1.09 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.42/1.09 parent0: (304) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.42/1.09 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 Z := Z
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 2
% 0.42/1.09 1 ==> 0
% 0.42/1.09 2 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.42/1.09 }.
% 0.42/1.09 parent0: (306) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.42/1.09 line_connecting( skol1, skol2 ) ) }.
% 0.42/1.09 parent0: (307) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3,
% 0.42/1.09 line_connecting( skol1, skol2 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (16) {G0,W14,D3,L2,V0,M1} I { ! distinct_lines(
% 0.42/1.09 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ), !
% 0.42/1.09 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.73/1.09 skol2 ) ) }.
% 0.73/1.09 parent0: (308) {G0,W14,D3,L2,V0,M2} { ! distinct_lines( line_connecting(
% 0.73/1.09 skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 1 ==> 1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (360) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 0.73/1.09 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.73/1.09 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.73/1.09 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.73/1.09 line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := skol3
% 0.73/1.09 Y := line_connecting( skol1, skol2 )
% 0.73/1.09 Z := X
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (80) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X
% 0.73/1.09 ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 parent0: (360) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 0.73/1.09 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 1 ==> 1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (362) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.73/1.09 , distinct_points( skol3, skol1 ) }.
% 0.73/1.09 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.73/1.09 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.73/1.09 parent1[1]: (80) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 0.73/1.09 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := skol1
% 0.73/1.09 Y := skol2
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 X := skol1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (363) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 )
% 0.73/1.09 }.
% 0.73/1.09 parent0[0]: (362) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.73/1.09 , distinct_points( skol3, skol1 ) }.
% 0.73/1.09 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.73/1.09 }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (82) {G2,W3,D2,L1,V0,M1} R(80,6);r(14) { distinct_points(
% 0.73/1.09 skol3, skol1 ) }.
% 0.73/1.09 parent0: (363) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (365) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.73/1.09 , distinct_points( skol3, skol2 ) }.
% 0.73/1.09 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.73/1.09 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.73/1.09 parent1[1]: (80) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 0.73/1.09 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := skol1
% 0.73/1.09 Y := skol2
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 X := skol2
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (366) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 0.73/1.09 }.
% 0.73/1.09 parent0[0]: (365) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.73/1.09 , distinct_points( skol3, skol2 ) }.
% 0.73/1.09 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.73/1.09 }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (83) {G2,W3,D2,L1,V0,M1} R(80,7);r(14) { distinct_points(
% 0.73/1.09 skol3, skol2 ) }.
% 0.73/1.09 parent0: (366) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (367) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 0.73/1.09 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 0.73/1.09 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.73/1.09 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.73/1.09 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.73/1.09 line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := skol3
% 0.73/1.09 Y := line_connecting( skol1, skol2 )
% 0.73/1.09 Z := X
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (101) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 0.73/1.09 }.
% 0.73/1.09 parent0: (367) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 0.73/1.09 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 1 ==> 1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (368) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 0.73/1.09 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.73/1.09 X ) ) }.
% 0.73/1.09 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.73/1.09 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.73/1.09 parent1[1]: (101) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 0.73/1.09 }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := skol3
% 0.73/1.09 Y := X
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 X := line_connecting( skol3, X )
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (125) {G2,W10,D3,L2,V1,M1} R(101,6) { ! distinct_points( skol3
% 0.73/1.09 , X ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.73/1.09 skol3, X ) ) }.
% 0.73/1.09 parent0: (368) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 0.73/1.09 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.73/1.09 X ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 1 ==> 1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (370) {G1,W10,D3,L2,V0,M2} { ! distinct_lines( line_connecting
% 0.73/1.09 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_points(
% 0.73/1.09 skol3, skol2 ) }.
% 0.73/1.09 parent0[1]: (16) {G0,W14,D3,L2,V0,M1} I { ! distinct_lines( line_connecting
% 0.73/1.09 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.73/1.09 parent1[1]: (125) {G2,W10,D3,L2,V1,M1} R(101,6) { ! distinct_points( skol3
% 0.73/1.09 , X ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.73/1.09 skol3, X ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 X := skol2
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (371) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 0.73/1.09 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.73/1.09 parent0[1]: (370) {G1,W10,D3,L2,V0,M2} { ! distinct_lines( line_connecting
% 0.73/1.09 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_points(
% 0.73/1.09 skol3, skol2 ) }.
% 0.73/1.09 parent1[0]: (83) {G2,W3,D2,L1,V0,M1} R(80,7);r(14) { distinct_points( skol3
% 0.73/1.09 , skol2 ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (286) {G3,W7,D3,L1,V0,M1} R(125,16);r(83) { ! distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.73/1.09 parent0: (371) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 0.73/1.09 skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (372) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol1 )
% 0.73/1.09 }.
% 0.73/1.09 parent0[0]: (286) {G3,W7,D3,L1,V0,M1} R(125,16);r(83) { ! distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.73/1.09 parent1[1]: (125) {G2,W10,D3,L2,V1,M1} R(101,6) { ! distinct_points( skol3
% 0.73/1.09 , X ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.73/1.09 skol3, X ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 X := skol1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 resolution: (373) {G3,W0,D0,L0,V0,M0} { }.
% 0.73/1.09 parent0[0]: (372) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol1 )
% 0.73/1.09 }.
% 0.73/1.09 parent1[0]: (82) {G2,W3,D2,L1,V0,M1} R(80,6);r(14) { distinct_points( skol3
% 0.73/1.09 , skol1 ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 substitution1:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (290) {G4,W0,D0,L0,V0,M0} R(286,125);r(82) { }.
% 0.73/1.09 parent0: (373) {G3,W0,D0,L0,V0,M0} { }.
% 0.73/1.09 substitution0:
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 Proof check complete!
% 0.73/1.09
% 0.73/1.09 Memory use:
% 0.73/1.09
% 0.73/1.09 space for terms: 4307
% 0.73/1.09 space for clauses: 11062
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 clauses generated: 2405
% 0.73/1.09 clauses kept: 291
% 0.73/1.09 clauses selected: 79
% 0.73/1.09 clauses deleted: 0
% 0.73/1.09 clauses inuse deleted: 0
% 0.73/1.09
% 0.73/1.09 subsentry: 11745
% 0.73/1.09 literals s-matched: 8453
% 0.73/1.09 literals matched: 8428
% 0.73/1.09 full subsumption: 6396
% 0.73/1.09
% 0.73/1.09 checksum: 278048166
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksem ended
%------------------------------------------------------------------------------