TSTP Solution File: GEO192+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO192+2 : 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 02:52:31 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
% 0.06/0.12 % Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.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 16:00:17 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 { convergent_lines( skol1, skol2 ) }.
% 0.43/1.07 { apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 0.43/1.07 { ! distinct_lines( skol1, skol3 ), ! distinct_lines( skol2, skol3 ) }.
% 0.43/1.07
% 0.43/1.07 percentage equality = 0.000000, percentage horn = 0.647059
% 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:19, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:14, 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:44, a:1, s:1, b:0),
% 0.43/1.07 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.43/1.07 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.43/1.07 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.07 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.07 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.07 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.07 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.07 skol3 [48, 0] (w:1, o:13, 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 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.43/1.07 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.43/1.07 , ! distinct_lines( X, Y ) }.
% 0.43/1.07 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 0.43/1.07 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 0.43/1.07 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 0.43/1.07 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, 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 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 0.43/1.07 X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 0.43/1.07 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 0.43/1.07 skol1, skol2 ), skol3 ) }.
% 0.43/1.07 (16) {G0,W6,D2,L2,V0,M1} I { ! distinct_lines( skol1, skol3 ), !
% 0.43/1.07 distinct_lines( skol2, skol3 ) }.
% 0.43/1.07 (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.43/1.07 ( X, Y ) }.
% 0.43/1.07 (35) {G2,W6,D2,L2,V0,M1} R(31,16) { ! distinct_lines( skol3, skol2 ), !
% 0.43/1.07 distinct_lines( skol1, skol3 ) }.
% 0.43/1.07 (128) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 0.43/1.07 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 0.43/1.07 ), ! apart_point_and_line( X, Z ) }.
% 0.43/1.07 (129) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 0.43/1.07 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 0.43/1.07 ), ! apart_point_and_line( X, Z ) }.
% 0.43/1.07 (135) {G2,W8,D3,L2,V2,M1} F(129);r(0) { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.43/1.07 (136) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.43/1.07 (151) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( skol3, X ),
% 0.43/1.07 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 0.43/1.07 (171) {G3,W3,D2,L1,V0,M1} R(151,135);r(14) { distinct_lines( skol3, skol1 )
% 0.43/1.07 }.
% 0.43/1.07 (172) {G3,W3,D2,L1,V0,M1} R(151,136);r(14) { distinct_lines( skol3, skol2 )
% 0.43/1.07 }.
% 0.43/1.07 (184) {G4,W3,D2,L1,V0,M1} R(171,31) { distinct_lines( skol1, skol3 ) }.
% 0.43/1.07 (203) {G5,W0,D0,L0,V0,M0} R(184,35);r(172) { }.
% 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 (205) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.43/1.07 (206) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.43/1.07 (207) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.43/1.07 (208) {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 (209) {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 (210) {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 (211) {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 (212) {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 (213) {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 (214) {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 (215) {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 (216) {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 (217) {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 (218) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 0.43/1.07 , Y ) }.
% 0.43/1.07 (219) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.43/1.07 (220) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 0.43/1.07 skol1, skol2 ), skol3 ) }.
% 0.43/1.07 (221) {G0,W6,D2,L2,V0,M2} { ! distinct_lines( skol1, skol3 ), !
% 0.43/1.07 distinct_lines( skol2, skol3 ) }.
% 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: (205) {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: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.43/1.07 parent0: (206) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( 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: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.43/1.07 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.43/1.07 parent0: (209) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.43/1.07 distinct_lines( X, Z ), distinct_lines( 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: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.43/1.07 ( Z, X ) }.
% 0.43/1.07 parent0: (213) {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 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: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.43/1.07 ( Z, Y ) }.
% 0.43/1.07 parent0: (214) {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 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: (216) {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: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.43/1.07 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 parent0: (217) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.43/1.07 distinct_lines( Y, Z ), apart_point_and_line( X, 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: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.43/1.07 }.
% 0.43/1.07 parent0: (219) {G0,W3,D2,L1,V0,M1} { convergent_lines( 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 *** allocated 15000 integers for clauses
% 0.43/1.07 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 0.43/1.07 intersection_point( skol1, skol2 ), skol3 ) }.
% 0.43/1.07 parent0: (220) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 0.43/1.07 intersection_point( skol1, skol2 ), skol3 ) }.
% 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: (16) {G0,W6,D2,L2,V0,M1} I { ! distinct_lines( skol1, skol3 )
% 0.43/1.07 , ! distinct_lines( skol2, skol3 ) }.
% 0.43/1.07 parent0: (221) {G0,W6,D2,L2,V0,M2} { ! distinct_lines( skol1, skol3 ), !
% 0.43/1.07 distinct_lines( skol2, skol3 ) }.
% 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 1 ==> 1
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (275) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.43/1.07 distinct_lines( X, Y ) }.
% 0.43/1.07 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.43/1.07 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.43/1.07 distinct_lines( Y, Z ), ! distinct_lines( 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: (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.43/1.07 distinct_lines( X, Y ) }.
% 0.43/1.07 parent0: (275) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.43/1.07 distinct_lines( 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: (278) {G1,W6,D2,L2,V0,M2} { ! distinct_lines( skol1, skol3 ),
% 0.43/1.07 ! distinct_lines( skol3, skol2 ) }.
% 0.43/1.07 parent0[1]: (16) {G0,W6,D2,L2,V0,M1} I { ! distinct_lines( skol1, skol3 ),
% 0.43/1.07 ! distinct_lines( skol2, skol3 ) }.
% 0.43/1.07 parent1[1]: (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.43/1.07 distinct_lines( X, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 X := skol2
% 0.43/1.07 Y := skol3
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (35) {G2,W6,D2,L2,V0,M1} R(31,16) { ! distinct_lines( skol3,
% 0.43/1.07 skol2 ), ! distinct_lines( skol1, skol3 ) }.
% 0.43/1.07 parent0: (278) {G1,W6,D2,L2,V0,M2} { ! distinct_lines( skol1, skol3 ), !
% 0.43/1.07 distinct_lines( skol3, skol2 ) }.
% 0.43/1.07 substitution0:
% 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: (279) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.43/1.07 , ! apart_point_and_line( T, Y ) }.
% 0.43/1.07 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.43/1.07 ( Z, Y ) }.
% 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 := Y
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (128) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 0.43/1.07 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 0.43/1.07 ) ), ! apart_point_and_line( X, Z ) }.
% 0.43/1.07 parent0: (279) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.43/1.07 , ! apart_point_and_line( T, Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := T
% 0.43/1.07 Y := Z
% 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: (281) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.43/1.07 , ! apart_point_and_line( T, X ) }.
% 0.43/1.07 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.43/1.07 ( Z, X ) }.
% 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 := X
% 0.43/1.07 Z := Z
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (129) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 0.43/1.07 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 0.43/1.07 ) ), ! apart_point_and_line( X, Z ) }.
% 0.43/1.07 parent0: (281) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.43/1.07 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.43/1.07 , ! apart_point_and_line( T, X ) }.
% 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: (283) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point(
% 0.43/1.07 X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.43/1.07 parent0[0, 2]: (129) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 0.43/1.07 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 0.43/1.07 T ) ), ! apart_point_and_line( X, Z ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := intersection_point( X, Y )
% 0.43/1.07 Y := intersection_point( X, Y )
% 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: (284) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, 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]: (283) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 0.43/1.07 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 0.43/1.07 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 0.43/1.07 Y ), X ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := intersection_point( X, Y )
% 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: (135) {G2,W8,D3,L2,V2,M1} F(129);r(0) { ! convergent_lines( X
% 0.43/1.07 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.43/1.07 parent0: (284) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, 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 factor: (285) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point(
% 0.43/1.07 X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.43/1.07 parent0[0, 2]: (128) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 0.43/1.07 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 0.43/1.07 Z ) ), ! apart_point_and_line( X, Z ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := intersection_point( X, Y )
% 0.43/1.07 Y := intersection_point( X, Y )
% 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: (286) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, Y ), 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]: (285) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 0.43/1.07 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 0.43/1.07 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 0.43/1.07 Y ), Y ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := intersection_point( X, Y )
% 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: (136) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X
% 0.43/1.07 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.43/1.07 parent0: (286) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.43/1.07 apart_point_and_line( intersection_point( X, Y ), 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 resolution: (287) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol3, X ),
% 0.43/1.07 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 0.43/1.07 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.43/1.07 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.43/1.07 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 0.43/1.07 intersection_point( skol1, skol2 ), skol3 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := intersection_point( skol1, skol2 )
% 0.43/1.07 Y := skol3
% 0.43/1.07 Z := X
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (151) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( skol3, X
% 0.43/1.07 ), apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 0.43/1.07 parent0: (287) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol3, X ),
% 0.43/1.07 apart_point_and_line( intersection_point( skol1, 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: (288) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 )
% 0.43/1.07 , distinct_lines( skol3, skol1 ) }.
% 0.43/1.07 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(129);r(0) { ! convergent_lines( X,
% 0.43/1.07 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.43/1.07 parent1[1]: (151) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( skol3, X )
% 0.43/1.07 , apart_point_and_line( intersection_point( skol1, 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 resolution: (289) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol1 ) }.
% 0.43/1.07 parent0[0]: (288) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 )
% 0.43/1.07 , distinct_lines( skol3, skol1 ) }.
% 0.43/1.07 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.43/1.07 }.
% 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: (171) {G3,W3,D2,L1,V0,M1} R(151,135);r(14) { distinct_lines(
% 0.43/1.07 skol3, skol1 ) }.
% 0.43/1.07 parent0: (289) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, 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: (290) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 )
% 0.43/1.07 , distinct_lines( skol3, skol2 ) }.
% 0.43/1.07 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 0.43/1.07 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.43/1.07 parent1[1]: (151) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( skol3, X )
% 0.43/1.07 , apart_point_and_line( intersection_point( skol1, 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 := skol2
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 resolution: (291) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol2 ) }.
% 0.43/1.07 parent0[0]: (290) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 )
% 0.43/1.07 , distinct_lines( skol3, skol2 ) }.
% 0.43/1.07 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.43/1.07 }.
% 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: (172) {G3,W3,D2,L1,V0,M1} R(151,136);r(14) { distinct_lines(
% 0.43/1.07 skol3, skol2 ) }.
% 0.43/1.07 parent0: (291) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, 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 resolution: (292) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 ) }.
% 0.43/1.07 parent0[0]: (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.43/1.07 distinct_lines( X, Y ) }.
% 0.43/1.07 parent1[0]: (171) {G3,W3,D2,L1,V0,M1} R(151,135);r(14) { distinct_lines(
% 0.43/1.07 skol3, skol1 ) }.
% 0.43/1.07 substitution0:
% 0.43/1.07 X := skol1
% 0.43/1.07 Y := skol3
% 0.43/1.07 end
% 0.43/1.07 substitution1:
% 0.43/1.07 end
% 0.43/1.07
% 0.43/1.07 subsumption: (184) {G4,W3,D2,L1,V0,M1} R(171,31) { distinct_lines( skol1,
% 0.43/1.07 skol3 ) }.
% 0.43/1.07 parent0: (292) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 ) }.
% 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: (293) {G3,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol2 )
% 0.43/1.07 }.
% 0.43/1.07 parent0[1]: (35) {G2,W6,D2,L2,V0,M1} R(31,16) { ! distinct_lines( skol3,
% 0.43/1.07 skol2 ), ! distinct_lines( skol1, skol3 ) }.
% 0.43/1.07 parent1[0]: (184) {G4,W3,D2,L1,V0,M1} R(171,31) { distinct_lines( skol1,
% 0.43/1.07 skol3 ) }.
% 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 resolution: (294) {G4,W0,D0,L0,V0,M0} { }.
% 0.43/1.07 parent0[0]: (293) {G3,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol2 )
% 0.43/1.07 }.
% 0.43/1.07 parent1[0]: (172) {G3,W3,D2,L1,V0,M1} R(151,136);r(14) { distinct_lines(
% 0.43/1.07 skol3, skol2 ) }.
% 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: (203) {G5,W0,D0,L0,V0,M0} R(184,35);r(172) { }.
% 0.43/1.07 parent0: (294) {G4,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: 2848
% 0.43/1.07 space for clauses: 8771
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 600
% 0.43/1.07 clauses kept: 204
% 0.43/1.07 clauses selected: 70
% 0.43/1.07 clauses deleted: 0
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 2042
% 0.43/1.07 literals s-matched: 1540
% 0.43/1.07 literals matched: 1515
% 0.43/1.07 full subsumption: 961
% 0.43/1.07
% 0.43/1.07 checksum: -962003
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
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