TSTP Solution File: GEO206+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 02:52:44 EDT 2022
% Result : Theorem 0.83s 1.18s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.08/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jun 18 15:28:29 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.83/1.18 *** allocated 10000 integers for termspace/termends
% 0.83/1.18 *** allocated 10000 integers for clauses
% 0.83/1.18 *** allocated 10000 integers for justifications
% 0.83/1.18 Bliksem 1.12
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Automatic Strategy Selection
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Clauses:
% 0.83/1.18
% 0.83/1.18 { ! distinct_points( X, X ) }.
% 0.83/1.18 { ! distinct_lines( X, X ) }.
% 0.83/1.18 { ! convergent_lines( X, X ) }.
% 0.83/1.18 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.83/1.18 ) }.
% 0.83/1.18 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.83/1.18 }.
% 0.83/1.18 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.83/1.18 , Z ) }.
% 0.83/1.18 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.83/1.18 , Y ) ) }.
% 0.83/1.18 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.83/1.18 , Y ) ) }.
% 0.83/1.18 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.83/1.18 , Y ), X ) }.
% 0.83/1.18 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.83/1.18 , Y ), Y ) }.
% 0.83/1.18 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.83/1.18 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.83/1.18 apart_point_and_line( Y, T ) }.
% 0.83/1.18 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.83/1.18 apart_point_and_line( Z, Y ) }.
% 0.83/1.18 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.83/1.18 apart_point_and_line( X, Z ) }.
% 0.83/1.18 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.83/1.18 Z ) }.
% 0.83/1.18 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.83/1.18 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.83/1.18 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.83/1.18 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.83/1.18 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.83/1.18 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.83/1.18 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.83/1.18 , convergent_lines( Y, Z ) }.
% 0.83/1.18 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 0.83/1.18 , unorthogonal_lines( Y, Z ) }.
% 0.83/1.18 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 0.83/1.18 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.83/1.18 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 0.83/1.18 }.
% 0.83/1.18 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 0.83/1.18 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 0.83/1.18 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.83/1.18 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 0.83/1.18 unorthogonal_lines( Y, T ) }.
% 0.83/1.18 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.83/1.18 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 0.83/1.18 unorthogonal_lines( X, Y ) }.
% 0.83/1.18 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 0.83/1.18 unorthogonal_lines( X, Y ) }.
% 0.83/1.18 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 0.83/1.18 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 0.83/1.18 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 0.83/1.18 }.
% 0.83/1.18 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 0.83/1.18 convergent_lines( X, Y ) }.
% 0.83/1.18 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.83/1.18 line_connecting( X, Y ) ) }.
% 0.83/1.18 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 0.83/1.18 intersection_point( X, Y ) ) }.
% 0.83/1.18 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 0.83/1.18 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 0.83/1.18 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 0.83/1.18 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 0.83/1.18 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 0.83/1.18 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 0.83/1.18 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 0.83/1.18 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 0.83/1.18 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 0.83/1.18 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 0.83/1.18 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.83/1.18 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 0.83/1.18 { incident_point_and_line( skol1, skol2 ) }.
% 0.83/1.18 { parallel_lines( skol2, skol3 ) }.
% 0.83/1.18 { ! equal_lines( skol2, parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18
% 0.83/1.18 percentage equality = 0.000000, percentage horn = 0.612245
% 0.83/1.18 This a non-horn, non-equality problem
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Options Used:
% 0.83/1.18
% 0.83/1.18 useres = 1
% 0.83/1.18 useparamod = 0
% 0.83/1.18 useeqrefl = 0
% 0.83/1.18 useeqfact = 0
% 0.83/1.18 usefactor = 1
% 0.83/1.18 usesimpsplitting = 0
% 0.83/1.18 usesimpdemod = 0
% 0.83/1.18 usesimpres = 3
% 0.83/1.18
% 0.83/1.18 resimpinuse = 1000
% 0.83/1.18 resimpclauses = 20000
% 0.83/1.18 substype = standard
% 0.83/1.18 backwardsubs = 1
% 0.83/1.18 selectoldest = 5
% 0.83/1.18
% 0.83/1.18 litorderings [0] = split
% 0.83/1.18 litorderings [1] = liftord
% 0.83/1.18
% 0.83/1.18 termordering = none
% 0.83/1.18
% 0.83/1.18 litapriori = 1
% 0.83/1.18 termapriori = 0
% 0.83/1.18 litaposteriori = 0
% 0.83/1.18 termaposteriori = 0
% 0.83/1.18 demodaposteriori = 0
% 0.83/1.18 ordereqreflfact = 0
% 0.83/1.18
% 0.83/1.18 litselect = none
% 0.83/1.18
% 0.83/1.18 maxweight = 15
% 0.83/1.18 maxdepth = 30000
% 0.83/1.18 maxlength = 115
% 0.83/1.18 maxnrvars = 195
% 0.83/1.18 excuselevel = 1
% 0.83/1.18 increasemaxweight = 1
% 0.83/1.18
% 0.83/1.18 maxselected = 10000000
% 0.83/1.18 maxnrclauses = 10000000
% 0.83/1.18
% 0.83/1.18 showgenerated = 0
% 0.83/1.18 showkept = 0
% 0.83/1.18 showselected = 0
% 0.83/1.18 showdeleted = 0
% 0.83/1.18 showresimp = 1
% 0.83/1.18 showstatus = 2000
% 0.83/1.18
% 0.83/1.18 prologoutput = 0
% 0.83/1.18 nrgoals = 5000000
% 0.83/1.18 totalproof = 1
% 0.83/1.18
% 0.83/1.18 Symbols occurring in the translation:
% 0.83/1.18
% 0.83/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.18 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.83/1.18 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.83/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.18 distinct_points [36, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.83/1.18 distinct_lines [37, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.83/1.18 convergent_lines [38, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.83/1.18 line_connecting [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.83/1.18 apart_point_and_line [42, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.83/1.18 intersection_point [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.83/1.18 parallel_through_point [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.83/1.18 unorthogonal_lines [49, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.83/1.18 orthogonal_through_point [52, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.83/1.18 point [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.83/1.18 line [55, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.83/1.18 equal_points [56, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.83/1.18 equal_lines [57, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.83/1.18 parallel_lines [58, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.83/1.18 incident_point_and_line [59, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.83/1.18 orthogonal_lines [60, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.83/1.18 alpha1 [61, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.83/1.18 alpha2 [62, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.83/1.18 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.83/1.18 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.83/1.18 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Starting Search:
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Bliksems!, er is een bewijs:
% 0.83/1.18 % SZS status Theorem
% 0.83/1.18 % SZS output start Refutation
% 0.83/1.18
% 0.83/1.18 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.83/1.18 Z ), ! convergent_lines( X, Y ) }.
% 0.83/1.18 (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! distinct_lines( X
% 0.83/1.18 , Y ) }.
% 0.83/1.18 (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines( parallel_through_point( Y
% 0.83/1.18 , X ), Y ) }.
% 0.83/1.18 (39) {G0,W6,D2,L2,V2,M1} I { distinct_lines( X, Y ), equal_lines( X, Y )
% 0.83/1.18 }.
% 0.83/1.18 (40) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), ! parallel_lines(
% 0.83/1.18 X, Y ) }.
% 0.83/1.18 (47) {G0,W3,D2,L1,V0,M1} I { parallel_lines( skol2, skol3 ) }.
% 0.83/1.18 (48) {G0,W5,D3,L1,V0,M1} I { ! equal_lines( skol2, parallel_through_point(
% 0.83/1.18 skol3, skol1 ) ) }.
% 0.83/1.18 (71) {G1,W3,D2,L1,V0,M1} R(40,47) { ! convergent_lines( skol2, skol3 ) }.
% 0.83/1.18 (73) {G2,W6,D2,L2,V1,M2} R(71,5) { ! convergent_lines( skol2, X ),
% 0.83/1.18 convergent_lines( X, skol3 ) }.
% 0.83/1.18 (77) {G1,W5,D3,L1,V0,M1} R(39,48) { distinct_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 (127) {G2,W5,D3,L1,V0,M1} R(14,77) { convergent_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 (172) {G3,W0,D0,L0,V0,M0} R(73,127);r(15) { }.
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 % SZS output end Refutation
% 0.83/1.18 found a proof!
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Unprocessed initial clauses:
% 0.83/1.18
% 0.83/1.18 (174) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.83/1.18 (175) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.83/1.18 (176) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.83/1.18 (177) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.83/1.18 , Z ), distinct_points( Y, Z ) }.
% 0.83/1.18 (178) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.83/1.18 ), distinct_lines( Y, Z ) }.
% 0.83/1.18 (179) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.83/1.18 X, Z ), convergent_lines( Y, Z ) }.
% 0.83/1.18 (180) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.83/1.18 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.83/1.18 (181) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.83/1.18 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.83/1.18 (182) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.83/1.18 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.83/1.18 (183) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.83/1.18 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.83/1.18 (184) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.83/1.18 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.83/1.18 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.83/1.18 (185) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.83/1.18 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.83/1.18 (186) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.83/1.18 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.83/1.18 (187) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.83/1.18 , Z ), convergent_lines( X, Z ) }.
% 0.83/1.18 (188) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines( X
% 0.83/1.18 , Y ) }.
% 0.83/1.18 (189) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.83/1.18 , X ), Y ) }.
% 0.83/1.18 (190) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.83/1.18 parallel_through_point( Y, X ) ) }.
% 0.83/1.18 (191) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.83/1.18 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.83/1.18 convergent_lines( X, Y ) }.
% 0.83/1.18 (192) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines(
% 0.83/1.18 X, Y ) }.
% 0.83/1.18 (193) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.83/1.18 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 0.83/1.18 (194) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 0.83/1.18 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 0.83/1.18 }.
% 0.83/1.18 (195) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 0.83/1.18 (196) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 0.83/1.18 }.
% 0.83/1.18 (197) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 0.83/1.18 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 0.83/1.18 (198) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines( orthogonal_through_point
% 0.83/1.18 ( Y, X ), Y ) }.
% 0.83/1.18 (199) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.83/1.18 orthogonal_through_point( Y, X ) ) }.
% 0.83/1.18 (200) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 0.83/1.18 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.83/1.18 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 0.83/1.18 (201) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines(
% 0.83/1.18 X, Y ) }.
% 0.83/1.18 (202) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 0.83/1.18 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.83/1.18 (203) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y ), !
% 0.83/1.18 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.83/1.18 (204) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 0.83/1.18 (205) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 0.83/1.18 }.
% 0.83/1.18 (206) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 0.83/1.18 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 0.83/1.18 (207) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ), unorthogonal_lines
% 0.83/1.18 ( Z, Y ), ! convergent_lines( X, Y ) }.
% 0.83/1.18 (208) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.83/1.18 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.83/1.18 (209) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), ! convergent_lines
% 0.83/1.18 ( X, Y ), point( intersection_point( X, Y ) ) }.
% 0.83/1.18 (210) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.83/1.18 parallel_through_point( X, Y ) ) }.
% 0.83/1.18 (211) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.83/1.18 orthogonal_through_point( X, Y ) ) }.
% 0.83/1.18 (212) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X,
% 0.83/1.18 Y ) }.
% 0.83/1.18 (213) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y )
% 0.83/1.18 }.
% 0.83/1.18 (214) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X, Y
% 0.83/1.18 ) }.
% 0.83/1.18 (215) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 0.83/1.18 }.
% 0.83/1.18 (216) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines(
% 0.83/1.18 X, Y ) }.
% 0.83/1.18 (217) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X, Y
% 0.83/1.18 ) }.
% 0.83/1.18 (218) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 0.83/1.18 apart_point_and_line( X, Y ) }.
% 0.83/1.18 (219) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 0.83/1.18 incident_point_and_line( X, Y ) }.
% 0.83/1.18 (220) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 0.83/1.18 unorthogonal_lines( X, Y ) }.
% 0.83/1.18 (221) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines(
% 0.83/1.18 X, Y ) }.
% 0.83/1.18 (222) {G0,W3,D2,L1,V0,M1} { incident_point_and_line( skol1, skol2 ) }.
% 0.83/1.18 (223) {G0,W3,D2,L1,V0,M1} { parallel_lines( skol2, skol3 ) }.
% 0.83/1.18 (224) {G0,W5,D3,L1,V0,M1} { ! equal_lines( skol2, parallel_through_point(
% 0.83/1.18 skol3, skol1 ) ) }.
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Total Proof:
% 0.83/1.18
% 0.83/1.18 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.83/1.18 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.83/1.18 parent0: (179) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.83/1.18 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := X
% 0.83/1.18 Y := Y
% 0.83/1.18 Z := Z
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 2
% 0.83/1.18 1 ==> 0
% 0.83/1.18 2 ==> 1
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 0.83/1.18 distinct_lines( X, Y ) }.
% 0.83/1.18 parent0: (188) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ),
% 0.83/1.18 convergent_lines( X, Y ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := X
% 0.83/1.18 Y := Y
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 1
% 0.83/1.18 1 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 0.83/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.83/1.18 parent0: (189) {G0,W5,D3,L1,V2,M1} { ! convergent_lines(
% 0.83/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := X
% 0.83/1.18 Y := Y
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (39) {G0,W6,D2,L2,V2,M1} I { distinct_lines( X, Y ),
% 0.83/1.18 equal_lines( X, Y ) }.
% 0.83/1.18 parent0: (215) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines(
% 0.83/1.18 X, Y ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := X
% 0.83/1.18 Y := Y
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 1 ==> 1
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 *** allocated 15000 integers for clauses
% 0.83/1.18 subsumption: (40) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 0.83/1.18 parallel_lines( X, Y ) }.
% 0.83/1.18 parent0: (216) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), !
% 0.83/1.18 convergent_lines( X, Y ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := X
% 0.83/1.18 Y := Y
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 1
% 0.83/1.18 1 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { parallel_lines( skol2, skol3 )
% 0.83/1.18 }.
% 0.83/1.18 parent0: (223) {G0,W3,D2,L1,V0,M1} { parallel_lines( skol2, skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (48) {G0,W5,D3,L1,V0,M1} I { ! equal_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 parent0: (224) {G0,W5,D3,L1,V0,M1} { ! equal_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (306) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3 )
% 0.83/1.18 }.
% 0.83/1.18 parent0[1]: (40) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 0.83/1.18 parallel_lines( X, Y ) }.
% 0.83/1.18 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { parallel_lines( skol2, skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := skol2
% 0.83/1.18 Y := skol3
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (71) {G1,W3,D2,L1,V0,M1} R(40,47) { ! convergent_lines( skol2
% 0.83/1.18 , skol3 ) }.
% 0.83/1.18 parent0: (306) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3 )
% 0.83/1.18 }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (307) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 0.83/1.18 convergent_lines( skol2, X ) }.
% 0.83/1.18 parent0[0]: (71) {G1,W3,D2,L1,V0,M1} R(40,47) { ! convergent_lines( skol2,
% 0.83/1.18 skol3 ) }.
% 0.83/1.18 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.83/1.18 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 X := skol2
% 0.83/1.18 Y := X
% 0.83/1.18 Z := skol3
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (73) {G2,W6,D2,L2,V1,M2} R(71,5) { ! convergent_lines( skol2,
% 0.83/1.18 X ), convergent_lines( X, skol3 ) }.
% 0.83/1.18 parent0: (307) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 0.83/1.18 convergent_lines( skol2, X ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := X
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 1
% 0.83/1.18 1 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (309) {G1,W5,D3,L1,V0,M1} { distinct_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 parent0[0]: (48) {G0,W5,D3,L1,V0,M1} I { ! equal_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 parent1[1]: (39) {G0,W6,D2,L2,V2,M1} I { distinct_lines( X, Y ),
% 0.83/1.18 equal_lines( X, Y ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 X := skol2
% 0.83/1.18 Y := parallel_through_point( skol3, skol1 )
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (77) {G1,W5,D3,L1,V0,M1} R(39,48) { distinct_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 parent0: (309) {G1,W5,D3,L1,V0,M1} { distinct_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (310) {G1,W5,D3,L1,V0,M1} { convergent_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 parent0[1]: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 0.83/1.18 distinct_lines( X, Y ) }.
% 0.83/1.18 parent1[0]: (77) {G1,W5,D3,L1,V0,M1} R(39,48) { distinct_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := skol2
% 0.83/1.18 Y := parallel_through_point( skol3, skol1 )
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (127) {G2,W5,D3,L1,V0,M1} R(14,77) { convergent_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 parent0: (310) {G1,W5,D3,L1,V0,M1} { convergent_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 0 ==> 0
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (311) {G3,W5,D3,L1,V0,M1} { convergent_lines(
% 0.83/1.18 parallel_through_point( skol3, skol1 ), skol3 ) }.
% 0.83/1.18 parent0[0]: (73) {G2,W6,D2,L2,V1,M2} R(71,5) { ! convergent_lines( skol2, X
% 0.83/1.18 ), convergent_lines( X, skol3 ) }.
% 0.83/1.18 parent1[0]: (127) {G2,W5,D3,L1,V0,M1} R(14,77) { convergent_lines( skol2,
% 0.83/1.18 parallel_through_point( skol3, skol1 ) ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := parallel_through_point( skol3, skol1 )
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 resolution: (312) {G1,W0,D0,L0,V0,M0} { }.
% 0.83/1.18 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 0.83/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.83/1.18 parent1[0]: (311) {G3,W5,D3,L1,V0,M1} { convergent_lines(
% 0.83/1.18 parallel_through_point( skol3, skol1 ), skol3 ) }.
% 0.83/1.18 substitution0:
% 0.83/1.18 X := skol1
% 0.83/1.18 Y := skol3
% 0.83/1.18 end
% 0.83/1.18 substitution1:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 subsumption: (172) {G3,W0,D0,L0,V0,M0} R(73,127);r(15) { }.
% 0.83/1.18 parent0: (312) {G1,W0,D0,L0,V0,M0} { }.
% 0.83/1.18 substitution0:
% 0.83/1.18 end
% 0.83/1.18 permutation0:
% 0.83/1.18 end
% 0.83/1.18
% 0.83/1.18 Proof check complete!
% 0.83/1.18
% 0.83/1.18 Memory use:
% 0.83/1.18
% 0.83/1.18 space for terms: 3242
% 0.83/1.18 space for clauses: 8023
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 clauses generated: 452
% 0.83/1.18 clauses kept: 173
% 0.83/1.18 clauses selected: 65
% 0.83/1.18 clauses deleted: 0
% 0.83/1.18 clauses inuse deleted: 0
% 0.83/1.18
% 0.83/1.18 subsentry: 885
% 0.83/1.18 literals s-matched: 620
% 0.83/1.18 literals matched: 590
% 0.83/1.18 full subsumption: 192
% 0.83/1.18
% 0.83/1.18 checksum: -1161746804
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Bliksem ended
%------------------------------------------------------------------------------