%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO178+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:52:18 EDT 2022
% Result : Theorem 0.47s 1.11s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO178+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n018.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 : Fri Jun 17 21:56:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.11 *** allocated 10000 integers for termspace/termends
% 0.47/1.11 *** allocated 10000 integers for clauses
% 0.47/1.11 *** allocated 10000 integers for justifications
% 0.47/1.11 Bliksem 1.12
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Automatic Strategy Selection
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Clauses:
% 0.47/1.11
% 0.47/1.11 { ! distinct_points( X, X ) }.
% 0.47/1.11 { ! distinct_lines( X, X ) }.
% 0.47/1.11 { ! convergent_lines( X, X ) }.
% 0.47/1.11 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.47/1.11 ) }.
% 0.47/1.11 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.47/1.11 }.
% 0.47/1.11 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.47/1.11 , Z ) }.
% 0.47/1.11 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.47/1.11 , Y ) ) }.
% 0.47/1.11 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.47/1.11 , Y ) ) }.
% 0.47/1.11 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.47/1.11 , Y ), X ) }.
% 0.47/1.11 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.47/1.11 , Y ), Y ) }.
% 0.47/1.11 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.47/1.11 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.47/1.11 apart_point_and_line( Y, T ) }.
% 0.47/1.11 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.47/1.11 apart_point_and_line( Z, Y ) }.
% 0.47/1.11 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.47/1.11 apart_point_and_line( X, Z ) }.
% 0.47/1.11 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.47/1.11 Z ) }.
% 0.47/1.11 { distinct_points( skol1, skol2 ) }.
% 0.47/1.11 { apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 { ! distinct_points( skol3, skol1 ), ! distinct_points( skol3, skol2 ) }.
% 0.47/1.11
% 0.47/1.11 percentage equality = 0.000000, percentage horn = 0.588235
% 0.47/1.11 This a non-horn, non-equality problem
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Options Used:
% 0.47/1.11
% 0.47/1.11 useres = 1
% 0.47/1.11 useparamod = 0
% 0.47/1.11 useeqrefl = 0
% 0.47/1.11 useeqfact = 0
% 0.47/1.11 usefactor = 1
% 0.47/1.11 usesimpsplitting = 0
% 0.47/1.11 usesimpdemod = 0
% 0.47/1.11 usesimpres = 3
% 0.47/1.11
% 0.47/1.11 resimpinuse = 1000
% 0.47/1.11 resimpclauses = 20000
% 0.47/1.11 substype = standard
% 0.47/1.11 backwardsubs = 1
% 0.47/1.11 selectoldest = 5
% 0.47/1.11
% 0.47/1.11 litorderings [0] = split
% 0.47/1.11 litorderings [1] = liftord
% 0.47/1.11
% 0.47/1.11 termordering = none
% 0.47/1.11
% 0.47/1.11 litapriori = 1
% 0.47/1.11 termapriori = 0
% 0.47/1.11 litaposteriori = 0
% 0.47/1.11 termaposteriori = 0
% 0.47/1.11 demodaposteriori = 0
% 0.47/1.11 ordereqreflfact = 0
% 0.47/1.11
% 0.47/1.11 litselect = none
% 0.47/1.11
% 0.47/1.11 maxweight = 15
% 0.47/1.11 maxdepth = 30000
% 0.47/1.11 maxlength = 115
% 0.47/1.11 maxnrvars = 195
% 0.47/1.11 excuselevel = 1
% 0.47/1.11 increasemaxweight = 1
% 0.47/1.11
% 0.47/1.11 maxselected = 10000000
% 0.47/1.11 maxnrclauses = 10000000
% 0.47/1.11
% 0.47/1.11 showgenerated = 0
% 0.47/1.11 showkept = 0
% 0.47/1.11 showselected = 0
% 0.47/1.11 showdeleted = 0
% 0.47/1.11 showresimp = 1
% 0.47/1.11 showstatus = 2000
% 0.47/1.11
% 0.47/1.11 prologoutput = 0
% 0.47/1.11 nrgoals = 5000000
% 0.47/1.11 totalproof = 1
% 0.47/1.11
% 0.47/1.11 Symbols occurring in the translation:
% 0.47/1.11
% 0.47/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.11 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.47/1.11 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.47/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.11 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.47/1.11 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.47/1.11 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.47/1.11 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.47/1.11 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.47/1.11 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.47/1.11 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.47/1.11 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.47/1.11 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Starting Search:
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Bliksems!, er is een bewijs:
% 0.47/1.11 % SZS status Theorem
% 0.47/1.11 % SZS output start Refutation
% 0.47/1.11
% 0.47/1.11 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.47/1.11 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.47/1.11 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 0.47/1.11 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.47/1.11 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.47/1.11 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3, line_connecting(
% 0.47/1.11 skol1, skol2 ) ) }.
% 0.47/1.11 (16) {G0,W6,D2,L2,V0,M1} I { ! distinct_points( skol3, skol1 ), !
% 0.47/1.11 distinct_points( skol3, skol2 ) }.
% 0.47/1.11 (98) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X ),
% 0.47/1.11 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 (100) {G2,W3,D2,L1,V0,M1} R(98,7);r(14) { distinct_points( skol3, skol2 )
% 0.47/1.11 }.
% 0.47/1.11 (101) {G2,W3,D2,L1,V0,M1} R(98,6);r(14) { distinct_points( skol3, skol1 )
% 0.47/1.11 }.
% 0.47/1.11 (105) {G3,W0,D0,L0,V0,M0} R(100,16);r(101) { }.
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 % SZS output end Refutation
% 0.47/1.11 found a proof!
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Unprocessed initial clauses:
% 0.47/1.11
% 0.47/1.11 (107) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.47/1.11 (108) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.47/1.11 (109) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.47/1.11 (110) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.47/1.11 , Z ), distinct_points( Y, Z ) }.
% 0.47/1.11 (111) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.47/1.11 ), distinct_lines( Y, Z ) }.
% 0.47/1.11 (112) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.47/1.11 X, Z ), convergent_lines( Y, Z ) }.
% 0.47/1.11 (113) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.47/1.11 (114) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.47/1.11 (115) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.47/1.11 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.47/1.11 (116) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.47/1.11 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.47/1.11 (117) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.47/1.11 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.47/1.11 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.47/1.11 (118) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.47/1.11 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.47/1.11 (119) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.47/1.11 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.47/1.11 (120) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.47/1.11 , Z ), convergent_lines( X, Z ) }.
% 0.47/1.11 (121) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.47/1.11 (122) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3, line_connecting(
% 0.47/1.11 skol1, skol2 ) ) }.
% 0.47/1.11 (123) {G0,W6,D2,L2,V0,M2} { ! distinct_points( skol3, skol1 ), !
% 0.47/1.11 distinct_points( skol3, skol2 ) }.
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Total Proof:
% 0.47/1.11
% 0.47/1.11 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.47/1.11 parent0: (113) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := X
% 0.47/1.11 Y := Y
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 1 ==> 1
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.47/1.11 parent0: (114) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := X
% 0.47/1.11 Y := Y
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 1 ==> 1
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.47/1.11 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.47/1.11 parent0: (118) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.47/1.11 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := X
% 0.47/1.11 Y := Y
% 0.47/1.11 Z := Z
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 2
% 0.47/1.11 1 ==> 0
% 0.47/1.11 2 ==> 1
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.47/1.11 }.
% 0.47/1.11 parent0: (121) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.47/1.11 line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 parent0: (122) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3,
% 0.47/1.11 line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (16) {G0,W6,D2,L2,V0,M1} I { ! distinct_points( skol3, skol1 )
% 0.47/1.11 , ! distinct_points( skol3, skol2 ) }.
% 0.47/1.11 parent0: (123) {G0,W6,D2,L2,V0,M2} { ! distinct_points( skol3, skol1 ), !
% 0.47/1.11 distinct_points( skol3, skol2 ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 1 ==> 1
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (166) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 0.47/1.11 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.47/1.11 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.47/1.11 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.47/1.11 line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := skol3
% 0.47/1.11 Y := line_connecting( skol1, skol2 )
% 0.47/1.11 Z := X
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (98) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X
% 0.47/1.11 ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 parent0: (166) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 0.47/1.11 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := X
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 1 ==> 1
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (168) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.47/1.11 , distinct_points( skol3, skol2 ) }.
% 0.47/1.11 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.47/1.11 parent1[1]: (98) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 0.47/1.11 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := skol1
% 0.47/1.11 Y := skol2
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 X := skol2
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (169) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 0.47/1.11 }.
% 0.47/1.11 parent0[0]: (168) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.47/1.11 , distinct_points( skol3, skol2 ) }.
% 0.47/1.11 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.47/1.11 }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (100) {G2,W3,D2,L1,V0,M1} R(98,7);r(14) { distinct_points(
% 0.47/1.11 skol3, skol2 ) }.
% 0.47/1.11 parent0: (169) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (171) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.47/1.11 , distinct_points( skol3, skol1 ) }.
% 0.47/1.11 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.47/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.47/1.11 parent1[1]: (98) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 0.47/1.11 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 X := skol1
% 0.47/1.11 Y := skol2
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 X := skol1
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (172) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 )
% 0.47/1.11 }.
% 0.47/1.11 parent0[0]: (171) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.47/1.11 , distinct_points( skol3, skol1 ) }.
% 0.47/1.11 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.47/1.11 }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (101) {G2,W3,D2,L1,V0,M1} R(98,6);r(14) { distinct_points(
% 0.47/1.11 skol3, skol1 ) }.
% 0.47/1.11 parent0: (172) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 0 ==> 0
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (173) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol1 )
% 0.47/1.11 }.
% 0.47/1.11 parent0[1]: (16) {G0,W6,D2,L2,V0,M1} I { ! distinct_points( skol3, skol1 )
% 0.47/1.11 , ! distinct_points( skol3, skol2 ) }.
% 0.47/1.11 parent1[0]: (100) {G2,W3,D2,L1,V0,M1} R(98,7);r(14) { distinct_points(
% 0.47/1.11 skol3, skol2 ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 resolution: (174) {G2,W0,D0,L0,V0,M0} { }.
% 0.47/1.11 parent0[0]: (173) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol1 )
% 0.47/1.11 }.
% 0.47/1.11 parent1[0]: (101) {G2,W3,D2,L1,V0,M1} R(98,6);r(14) { distinct_points(
% 0.47/1.11 skol3, skol1 ) }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 substitution1:
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 subsumption: (105) {G3,W0,D0,L0,V0,M0} R(100,16);r(101) { }.
% 0.47/1.11 parent0: (174) {G2,W0,D0,L0,V0,M0} { }.
% 0.47/1.11 substitution0:
% 0.47/1.11 end
% 0.47/1.11 permutation0:
% 0.47/1.11 end
% 0.47/1.11
% 0.47/1.11 Proof check complete!
% 0.47/1.11
% 0.47/1.11 Memory use:
% 0.47/1.11
% 0.47/1.11 space for terms: 1800
% 0.47/1.11 space for clauses: 4463
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 clauses generated: 435
% 0.47/1.11 clauses kept: 106
% 0.47/1.11 clauses selected: 33
% 0.47/1.11 clauses deleted: 0
% 0.47/1.11 clauses inuse deleted: 0
% 0.47/1.11
% 0.47/1.11 subsentry: 1524
% 0.47/1.11 literals s-matched: 1233
% 0.47/1.11 literals matched: 1213
% 0.47/1.11 full subsumption: 965
% 0.47/1.11
% 0.47/1.11 checksum: 13916690
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Bliksem ended
%------------------------------------------------------------------------------