TSTP Solution File: GEO225+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 02:53:01 EDT 2022
% Result : Theorem 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 21:20:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07
% 0.43/1.07 { ! distinct_points( X, X ) }.
% 0.43/1.07 { ! distinct_lines( X, X ) }.
% 0.43/1.07 { ! convergent_lines( X, X ) }.
% 0.43/1.07 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.43/1.07 ) }.
% 0.43/1.07 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.43/1.07 }.
% 0.43/1.07 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.43/1.07 , Z ) }.
% 0.43/1.07 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.43/1.07 , Y ) ), distinct_points( Z, X ) }.
% 0.43/1.07 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.43/1.07 , Y ) ), distinct_points( Z, Y ) }.
% 0.43/1.07 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.43/1.07 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.43/1.07 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.43/1.07 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.43/1.07 apart_point_and_line( Y, T ) }.
% 0.43/1.07 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.43/1.07 apart_point_and_line( Z, Y ) }.
% 0.43/1.07 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.43/1.07 apart_point_and_line( X, Z ) }.
% 0.43/1.07 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 0.43/1.07 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.43/1.07 line_connecting( X, Y ) ) }.
% 0.43/1.07 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 0.43/1.07 intersection_point( X, Y ) ) }.
% 0.43/1.07 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 0.43/1.07 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 0.43/1.07 { point( skol1 ) }.
% 0.43/1.07 { point( skol2 ) }.
% 0.43/1.07 { distinct_points( skol1, skol2 ) }.
% 0.43/1.07 { line( X ) }.
% 0.43/1.07 { apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 0.43/1.07
% 0.43/1.07 percentage equality = 0.000000, percentage horn = 0.695652
% 0.43/1.07 This a non-horn, non-equality problem
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 0
% 0.43/1.07 useeqrefl = 0
% 0.43/1.07 useeqfact = 0
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 0
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = standard
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = liftord
% 0.43/1.07
% 0.43/1.07 termordering = none
% 0.43/1.07
% 0.43/1.07 litapriori = 1
% 0.43/1.07 termapriori = 0
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = none
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 0
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 distinct_points [36, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.07 distinct_lines [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.43/1.07 convergent_lines [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.07 line_connecting [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.43/1.07 apart_point_and_line [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.07 intersection_point [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.07 point [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.07 line [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.07 parallel_through_point [52, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.07 orthogonal_through_point [53, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.07 skol1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.07 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Theorem
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.43/1.07 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 0.43/1.07 ), ! distinct_points( X, Y ) }.
% 0.43/1.07 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 0.43/1.07 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 0.43/1.07 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 0.43/1.07 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 0.43/1.07 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 0.43/1.07 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 (20) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.43/1.07 (22) {G0,W6,D2,L2,V1,M1} I { apart_point_and_line( skol1, X ),
% 0.43/1.07 apart_point_and_line( skol2, X ) }.
% 0.43/1.07 (26) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 0.43/1.07 distinct_points( X, Y ) }.
% 0.43/1.07 (29) {G2,W3,D2,L1,V0,M1} R(26,20) { distinct_points( skol2, skol1 ) }.
% 0.43/1.07 (99) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 0.43/1.07 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 0.43/1.07 ( X, line_connecting( Z, T ) ) }.
% 0.43/1.07 (100) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 0.43/1.07 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 0.43/1.07 ( X, line_connecting( Z, T ) ) }.
% 0.43/1.07 (102) {G2,W8,D3,L2,V2,M1} F(100);r(0) { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.43/1.07 (103) {G2,W8,D3,L2,V2,M1} F(99);r(0) { ! distinct_points( Y, X ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.43/1.07 (135) {G3,W8,D3,L2,V1,M1} R(102,22) { ! distinct_points( skol2, X ),
% 0.43/1.07 apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 0.43/1.07 (136) {G4,W0,D0,L0,V0,M0} R(135,103);f;r(29) { }.
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Unprocessed initial clauses:
% 0.43/1.07
% 0.43/1.07 (138) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.43/1.07 (139) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.43/1.07 (140) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.43/1.07 (141) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.43/1.07 , Z ), distinct_points( Y, Z ) }.
% 0.43/1.07 (142) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.43/1.07 ), distinct_lines( Y, Z ) }.
% 0.43/1.07 (143) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.43/1.07 X, Z ), convergent_lines( Y, Z ) }.
% 0.43/1.07 (144) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.43/1.07 ) }.
% 0.43/1.07 (145) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.43/1.07 ) }.
% 0.43/1.07 (146) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.43/1.07 Y ) ) }.
% 0.43/1.07 (147) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.43/1.07 Y ) ) }.
% 0.43/1.07 (148) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.43/1.07 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.43/1.07 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.43/1.07 (149) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.43/1.07 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.43/1.07 (150) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.43/1.07 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.43/1.07 (151) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 0.43/1.07 , Y ) }.
% 0.43/1.07 (152) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.43/1.07 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.43/1.07 (153) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), ! convergent_lines
% 0.43/1.07 ( X, Y ), point( intersection_point( X, Y ) ) }.
% 0.43/1.07 (154) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.43/1.07 parallel_through_point( X, Y ) ) }.
% 0.43/1.07 (155) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.43/1.07 orthogonal_through_point( X, Y ) ) }.
% 0.43/1.07 (156) {G0,W2,D2,L1,V0,M1} { point( skol1 ) }.
% 0.43/1.07 (157) {G0,W2,D2,L1,V0,M1} { point( skol2 ) }.
% 0.43/1.07 (158) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.43/1.07 (159) {G0,W2,D2,L1,V1,M1} { line( X ) }.
% 0.43/1.07 (160) {G0,W6,D2,L2,V1,M2} { apart_point_and_line( skol1, X ),
% 0.43/1.07 apart_point_and_line( skol2, X ) }.
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Total Proof:
% 0.43/1.07
% 0.43/1.07 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.43/1.07 parent0: (138) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.43/1.07 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.43/1.07 parent0: (141) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 2
% 0.43/1.07 1 ==> 0
% 0.43/1.07 2 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.43/1.07 ) ) }.
% 0.43/1.07 parent0: (144) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.43/1.07 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 2
% 0.43/1.07 2 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.43/1.07 ) ) }.
% 0.43/1.07 parent0: (145) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.43/1.07 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 2
% 0.43/1.07 2 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.43/1.07 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 parent0: (149) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.43/1.07 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 2
% 0.43/1.07 1 ==> 0
% 0.43/1.07 2 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (20) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.43/1.07 }.
% 0.43/1.07 parent0: (158) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (22) {G0,W6,D2,L2,V1,M1} I { apart_point_and_line( skol1, X )
% 0.43/1.07 , apart_point_and_line( skol2, X ) }.
% 0.43/1.07 parent0: (160) {G0,W6,D2,L2,V1,M2} { apart_point_and_line( skol1, X ),
% 0.43/1.07 apart_point_and_line( skol2, X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (199) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.43/1.07 distinct_points( X, Y ) }.
% 0.43/1.07 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.43/1.07 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.43/1.07 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 0.43/1.07 distinct_points( X, Y ) }.
% 0.43/1.07 parent0: (199) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.43/1.07 distinct_points( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := Y
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (201) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 )
% 0.43/1.07 }.
% 0.43/1.07 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 0.43/1.07 distinct_points( X, Y ) }.
% 0.43/1.07 parent1[0]: (20) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.43/1.07 }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol2
% 0.43/1.07 Y := skol1
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (29) {G2,W3,D2,L1,V0,M1} R(26,20) { distinct_points( skol2,
% 0.43/1.07 skol1 ) }.
% 0.43/1.07 parent0: (201) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (203) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 0.43/1.07 ( T, line_connecting( X, Y ) ) }.
% 0.43/1.07 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.43/1.07 ) ) }.
% 0.43/1.07 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.43/1.07 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := T
% 0.43/1.07 Y := line_connecting( X, Y )
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (99) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 0.43/1.07 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 0.43/1.07 ( X, line_connecting( Z, T ) ) }.
% 0.43/1.07 parent0: (203) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 0.43/1.07 ( T, line_connecting( X, Y ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := Z
% 0.43/1.07 Y := T
% 0.43/1.07 Z := Y
% 0.43/1.07 T := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 2
% 0.43/1.07 2 ==> 0
% 0.43/1.07 3 ==> 3
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (207) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 0.43/1.07 ( T, line_connecting( X, Y ) ) }.
% 0.43/1.07 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.43/1.07 ) ) }.
% 0.43/1.07 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.43/1.07 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := T
% 0.43/1.07 Y := line_connecting( X, Y )
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (100) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 0.43/1.07 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.43/1.07 parent0: (207) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.43/1.07 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 0.43/1.07 ( T, line_connecting( X, Y ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := Z
% 0.43/1.07 Y := T
% 0.43/1.07 Z := Y
% 0.43/1.07 T := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 1
% 0.43/1.07 1 ==> 2
% 0.43/1.07 2 ==> 0
% 0.43/1.07 3 ==> 3
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (210) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.43/1.07 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 0.43/1.07 ) ) }.
% 0.43/1.07 parent0[0, 2]: (100) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 0.43/1.07 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := X
% 0.43/1.07 Z := X
% 0.43/1.07 T := Y
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (211) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.43/1.07 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.43/1.07 parent1[0]: (210) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.43/1.07 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 0.43/1.07 ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (102) {G2,W8,D3,L2,V2,M1} F(100);r(0) { ! distinct_points( X,
% 0.43/1.07 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.43/1.07 parent0: (211) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (212) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.43/1.07 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 0.43/1.07 ) ) }.
% 0.43/1.07 parent0[0, 2]: (99) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 0.43/1.07 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := X
% 0.43/1.07 Z := Y
% 0.43/1.07 T := X
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (213) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.43/1.07 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.43/1.07 parent1[0]: (212) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.43/1.07 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 0.43/1.07 ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (103) {G2,W8,D3,L2,V2,M1} F(99);r(0) { ! distinct_points( Y, X
% 0.43/1.07 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.43/1.07 parent0: (213) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 0.43/1.07 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 Y := Y
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (215) {G1,W8,D3,L2,V1,M2} { ! distinct_points( skol2, X ),
% 0.43/1.07 apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 0.43/1.07 parent0[1]: (102) {G2,W8,D3,L2,V2,M1} F(100);r(0) { ! distinct_points( X, Y
% 0.43/1.07 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.43/1.07 parent1[1]: (22) {G0,W6,D2,L2,V1,M1} I { apart_point_and_line( skol1, X ),
% 0.43/1.07 apart_point_and_line( skol2, X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol2
% 0.43/1.07 Y := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := line_connecting( skol2, X )
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (135) {G3,W8,D3,L2,V1,M1} R(102,22) { ! distinct_points( skol2
% 0.43/1.07 , X ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 0.43/1.07 parent0: (215) {G1,W8,D3,L2,V1,M2} { ! distinct_points( skol2, X ),
% 0.43/1.07 apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := X
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 0 ==> 0
% 0.43/1.07 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (216) {G3,W6,D2,L2,V0,M2} { ! distinct_points( skol2, skol1 )
% 0.43/1.07 , ! distinct_points( skol2, skol1 ) }.
% 0.43/1.07 parent0[1]: (103) {G2,W8,D3,L2,V2,M1} F(99);r(0) { ! distinct_points( Y, X
% 0.43/1.07 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.43/1.07 parent1[1]: (135) {G3,W8,D3,L2,V1,M1} R(102,22) { ! distinct_points( skol2
% 0.43/1.07 , X ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol1
% 0.43/1.07 Y := skol2
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := skol1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 factor: (217) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol1 ) }.
% 0.43/1.07 parent0[0, 1]: (216) {G3,W6,D2,L2,V0,M2} { ! distinct_points( skol2, skol1
% 0.43/1.07 ), ! distinct_points( skol2, skol1 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (219) {G3,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 parent0[0]: (217) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol1 )
% 0.43/1.07 }.
% 0.43/1.07 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(26,20) { distinct_points( skol2,
% 0.43/1.07 skol1 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (136) {G4,W0,D0,L0,V0,M0} R(135,103);f;r(29) { }.
% 0.43/1.07 parent0: (219) {G3,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 permutation0:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 Proof check complete!
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 2406
% 0.43/1.07 space for clauses: 5552
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 640
% 0.43/1.07 clauses kept: 137
% 0.43/1.07 clauses selected: 46
% 0.43/1.07 clauses deleted: 2
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 2914
% 0.43/1.07 literals s-matched: 2564
% 0.43/1.07 literals matched: 2549
% 0.43/1.07 full subsumption: 1986
% 0.43/1.07
% 0.43/1.07 checksum: 1439415145
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------