TSTP Solution File: GEO179+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 02:52:20 EDT 2022
% Result : Theorem 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 00:58:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { ! distinct_points( X, X ) }.
% 0.72/1.13 { ! distinct_lines( X, X ) }.
% 0.72/1.13 { ! convergent_lines( X, X ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.13 ) }.
% 0.72/1.13 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.13 }.
% 0.72/1.13 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.72/1.13 , Z ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.72/1.13 , Y ) ), distinct_points( Z, X ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.72/1.13 , Y ) ), distinct_points( Z, Y ) }.
% 0.72/1.13 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 0.72/1.13 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.72/1.13 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 0.72/1.13 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.72/1.13 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.72/1.13 apart_point_and_line( Y, T ) }.
% 0.72/1.13 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.72/1.13 apart_point_and_line( Z, Y ) }.
% 0.72/1.13 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.72/1.13 apart_point_and_line( X, Z ) }.
% 0.72/1.13 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 0.72/1.13 { distinct_points( skol1, skol2 ) }.
% 0.72/1.13 { apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.72/1.13 { ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3
% 0.72/1.13 , skol1 ) ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 0.72/1.13 line_connecting( skol3, skol2 ) ) }.
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.000000, percentage horn = 0.647059
% 0.72/1.13 This a non-horn, non-equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 0
% 0.72/1.13 useeqrefl = 0
% 0.72/1.13 useeqfact = 0
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 0
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = standard
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = liftord
% 0.72/1.13
% 0.72/1.13 termordering = none
% 0.72/1.13
% 0.72/1.13 litapriori = 1
% 0.72/1.13 termapriori = 0
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = none
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 0
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.13 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.13 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.13 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.13 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.13 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.13 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.13 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.13 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for clauses
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Theorem
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.13 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 0.72/1.13 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 0.72/1.13 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 0.72/1.13 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 0.72/1.13 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 0.72/1.13 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.13 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 0.72/1.13 X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.13 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.72/1.13 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3, line_connecting(
% 0.72/1.13 skol1, skol2 ) ) }.
% 0.72/1.13 (16) {G0,W14,D3,L2,V0,M1} I { ! distinct_lines( line_connecting( skol1,
% 0.72/1.13 skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.72/1.13 (50) {G1,W3,D2,L1,V0,M1} R(6,15);r(14) { distinct_points( skol3, skol1 )
% 0.72/1.13 }.
% 0.72/1.13 (57) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points( skol3, skol2 )
% 0.72/1.13 }.
% 0.72/1.13 (114) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 0.72/1.13 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 0.72/1.13 ( X, line_connecting( Z, T ) ) }.
% 0.72/1.13 (116) {G2,W8,D3,L2,V2,M1} F(114);r(0) { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.13 (134) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( line_connecting( skol1
% 0.72/1.13 , skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.13 (136) {G3,W10,D3,L2,V1,M1} R(134,116) { ! distinct_points( skol3, X ),
% 0.72/1.13 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.72/1.13 X ) ) }.
% 0.72/1.13 (320) {G4,W7,D3,L1,V0,M1} R(136,16);r(57) { ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.72/1.13 (326) {G5,W0,D0,L0,V0,M0} R(320,136);r(50) { }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Unprocessed initial clauses:
% 0.72/1.13
% 0.72/1.13 (328) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.13 (329) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.13 (330) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.72/1.13 (331) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.13 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.13 (332) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.72/1.13 ), distinct_lines( Y, Z ) }.
% 0.72/1.13 (333) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.72/1.13 X, Z ), convergent_lines( Y, Z ) }.
% 0.72/1.13 (334) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.72/1.13 ) }.
% 0.72/1.13 (335) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.72/1.13 ) }.
% 0.72/1.13 (336) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.72/1.13 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.72/1.13 Y ) ) }.
% 0.72/1.13 (337) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.72/1.13 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.72/1.13 Y ) ) }.
% 0.72/1.13 (338) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.72/1.13 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.72/1.13 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.72/1.13 (339) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.13 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.72/1.13 (340) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.72/1.13 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.72/1.13 (341) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 0.72/1.13 , Y ) }.
% 0.72/1.13 (342) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.72/1.13 (343) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3, line_connecting(
% 0.72/1.13 skol1, skol2 ) ) }.
% 0.72/1.13 (344) {G0,W14,D3,L2,V0,M2} { ! distinct_lines( line_connecting( skol1,
% 0.72/1.13 skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Total Proof:
% 0.72/1.13
% 0.72/1.13 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.13 parent0: (328) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent0: (334) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 2
% 0.72/1.13 2 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent0: (335) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 2
% 0.72/1.13 2 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.72/1.13 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.13 parent0: (339) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.13 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 2
% 0.72/1.13 1 ==> 0
% 0.72/1.13 2 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.72/1.13 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.13 parent0: (340) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.13 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 2
% 0.72/1.13 1 ==> 0
% 0.72/1.13 2 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (342) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.72/1.13 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.13 parent0: (343) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3,
% 0.72/1.13 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (16) {G0,W14,D3,L2,V0,M1} I { ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ), !
% 0.72/1.13 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.72/1.13 skol2 ) ) }.
% 0.72/1.13 parent0: (344) {G0,W14,D3,L2,V0,M2} { ! distinct_lines( line_connecting(
% 0.72/1.13 skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (396) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.72/1.13 , distinct_points( skol3, skol1 ) }.
% 0.72/1.13 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.72/1.13 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol1
% 0.72/1.13 Y := skol2
% 0.72/1.13 Z := skol3
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (397) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (396) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.72/1.13 , distinct_points( skol3, skol1 ) }.
% 0.72/1.13 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (50) {G1,W3,D2,L1,V0,M1} R(6,15);r(14) { distinct_points(
% 0.72/1.13 skol3, skol1 ) }.
% 0.72/1.13 parent0: (397) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (398) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.72/1.13 , distinct_points( skol3, skol2 ) }.
% 0.72/1.13 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.72/1.13 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol1
% 0.72/1.13 Y := skol2
% 0.72/1.13 Z := skol3
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (399) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (398) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.72/1.13 , distinct_points( skol3, skol2 ) }.
% 0.72/1.13 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (57) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points(
% 0.72/1.13 skol3, skol2 ) }.
% 0.72/1.13 parent0: (399) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (401) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 0.72/1.13 ( T, line_connecting( X, Y ) ) }.
% 0.72/1.13 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.72/1.13 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := T
% 0.72/1.13 Y := line_connecting( X, Y )
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (114) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 0.72/1.13 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 0.72/1.13 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.72/1.13 parent0: (401) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.72/1.13 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 0.72/1.13 ( T, line_connecting( X, Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Z
% 0.72/1.13 Y := T
% 0.72/1.13 Z := Y
% 0.72/1.13 T := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 2
% 0.72/1.13 2 ==> 0
% 0.72/1.13 3 ==> 3
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 factor: (404) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.72/1.13 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent0[0, 2]: (114) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 0.72/1.13 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 0.72/1.13 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := X
% 0.72/1.13 Z := X
% 0.72/1.13 T := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (405) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.13 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.13 parent1[0]: (404) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.72/1.13 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 0.72/1.13 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (116) {G2,W8,D3,L2,V2,M1} F(114);r(0) { ! distinct_points( X,
% 0.72/1.13 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.13 parent0: (405) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (406) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 0.72/1.13 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.13 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.72/1.13 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.13 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 0.72/1.13 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol3
% 0.72/1.13 Y := line_connecting( skol1, skol2 )
% 0.72/1.13 Z := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (134) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (406) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 0.72/1.13 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (407) {G2,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 0.72/1.13 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.72/1.13 X ) ) }.
% 0.72/1.13 parent0[1]: (116) {G2,W8,D3,L2,V2,M1} F(114);r(0) { ! distinct_points( X, Y
% 0.72/1.13 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.13 parent1[1]: (134) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol3
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := line_connecting( skol3, X )
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (136) {G3,W10,D3,L2,V1,M1} R(134,116) { ! distinct_points(
% 0.72/1.13 skol3, X ), distinct_lines( line_connecting( skol1, skol2 ),
% 0.72/1.13 line_connecting( skol3, X ) ) }.
% 0.72/1.13 parent0: (407) {G2,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 0.72/1.13 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 0.72/1.13 X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (409) {G1,W10,D3,L2,V0,M2} { ! distinct_lines( line_connecting
% 0.72/1.13 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_points(
% 0.72/1.13 skol3, skol2 ) }.
% 0.72/1.13 parent0[1]: (16) {G0,W14,D3,L2,V0,M1} I { ! distinct_lines( line_connecting
% 0.72/1.13 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 0.72/1.13 parent1[1]: (136) {G3,W10,D3,L2,V1,M1} R(134,116) { ! distinct_points(
% 0.72/1.13 skol3, X ), distinct_lines( line_connecting( skol1, skol2 ),
% 0.72/1.13 line_connecting( skol3, X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := skol2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (410) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 0.72/1.13 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.72/1.13 parent0[1]: (409) {G1,W10,D3,L2,V0,M2} { ! distinct_lines( line_connecting
% 0.72/1.13 ( skol1, skol2 ), line_connecting( skol3, skol1 ) ), ! distinct_points(
% 0.72/1.13 skol3, skol2 ) }.
% 0.72/1.13 parent1[0]: (57) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points( skol3
% 0.72/1.13 , skol2 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (320) {G4,W7,D3,L1,V0,M1} R(136,16);r(57) { ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.72/1.13 parent0: (410) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 0.72/1.13 skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (411) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol1 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (320) {G4,W7,D3,L1,V0,M1} R(136,16);r(57) { ! distinct_lines(
% 0.72/1.13 line_connecting( skol1, skol2 ), line_connecting( skol3, skol1 ) ) }.
% 0.72/1.13 parent1[1]: (136) {G3,W10,D3,L2,V1,M1} R(134,116) { ! distinct_points(
% 0.72/1.13 skol3, X ), distinct_lines( line_connecting( skol1, skol2 ),
% 0.72/1.13 line_connecting( skol3, X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := skol1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (412) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.13 parent0[0]: (411) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol1 )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (50) {G1,W3,D2,L1,V0,M1} R(6,15);r(14) { distinct_points( skol3
% 0.72/1.13 , skol1 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (326) {G5,W0,D0,L0,V0,M0} R(320,136);r(50) { }.
% 0.72/1.13 parent0: (412) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 Proof check complete!
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 4858
% 0.72/1.13 space for clauses: 12480
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 2668
% 0.72/1.13 clauses kept: 327
% 0.72/1.13 clauses selected: 88
% 0.72/1.13 clauses deleted: 0
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 13291
% 0.72/1.13 literals s-matched: 10151
% 0.72/1.13 literals matched: 10126
% 0.72/1.13 full subsumption: 8074
% 0.72/1.13
% 0.72/1.13 checksum: 177269793
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------