TSTP Solution File: GEO170+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO170+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:52:11 EDT 2022
% Result : Theorem 0.87s 1.26s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 08:23:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.26 *** allocated 10000 integers for termspace/termends
% 0.87/1.26 *** allocated 10000 integers for clauses
% 0.87/1.26 *** allocated 10000 integers for justifications
% 0.87/1.26 Bliksem 1.12
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Automatic Strategy Selection
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Clauses:
% 0.87/1.26
% 0.87/1.26 { ! distinct_points( X, X ) }.
% 0.87/1.26 { ! distinct_lines( X, X ) }.
% 0.87/1.26 { ! convergent_lines( X, X ) }.
% 0.87/1.26 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.87/1.26 ) }.
% 0.87/1.26 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.87/1.26 }.
% 0.87/1.26 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.87/1.26 , Z ) }.
% 0.87/1.26 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.87/1.26 , Y ) ) }.
% 0.87/1.26 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.87/1.26 , Y ) ) }.
% 0.87/1.26 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.87/1.26 , Y ), X ) }.
% 0.87/1.26 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.87/1.26 , Y ), Y ) }.
% 0.87/1.26 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.87/1.26 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.87/1.26 apart_point_and_line( Y, T ) }.
% 0.87/1.26 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.87/1.26 apart_point_and_line( Z, Y ) }.
% 0.87/1.26 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.87/1.26 apart_point_and_line( X, Z ) }.
% 0.87/1.26 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.87/1.26 Z ) }.
% 0.87/1.26 { distinct_points( skol1, skol2 ) }.
% 0.87/1.26 { ! apart_point_and_line( skol1, skol3 ) }.
% 0.87/1.26 { ! apart_point_and_line( skol2, skol3 ) }.
% 0.87/1.26 { distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.87/1.26
% 0.87/1.26 percentage equality = 0.000000, percentage horn = 0.611111
% 0.87/1.26 This a non-horn, non-equality problem
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Options Used:
% 0.87/1.26
% 0.87/1.26 useres = 1
% 0.87/1.26 useparamod = 0
% 0.87/1.26 useeqrefl = 0
% 0.87/1.26 useeqfact = 0
% 0.87/1.26 usefactor = 1
% 0.87/1.26 usesimpsplitting = 0
% 0.87/1.26 usesimpdemod = 0
% 0.87/1.26 usesimpres = 3
% 0.87/1.26
% 0.87/1.26 resimpinuse = 1000
% 0.87/1.26 resimpclauses = 20000
% 0.87/1.26 substype = standard
% 0.87/1.26 backwardsubs = 1
% 0.87/1.26 selectoldest = 5
% 0.87/1.26
% 0.87/1.26 litorderings [0] = split
% 0.87/1.26 litorderings [1] = liftord
% 0.87/1.26
% 0.87/1.26 termordering = none
% 0.87/1.26
% 0.87/1.26 litapriori = 1
% 0.87/1.26 termapriori = 0
% 0.87/1.26 litaposteriori = 0
% 0.87/1.26 termaposteriori = 0
% 0.87/1.26 demodaposteriori = 0
% 0.87/1.26 ordereqreflfact = 0
% 0.87/1.26
% 0.87/1.26 litselect = none
% 0.87/1.26
% 0.87/1.26 maxweight = 15
% 0.87/1.26 maxdepth = 30000
% 0.87/1.26 maxlength = 115
% 0.87/1.26 maxnrvars = 195
% 0.87/1.26 excuselevel = 1
% 0.87/1.26 increasemaxweight = 1
% 0.87/1.26
% 0.87/1.26 maxselected = 10000000
% 0.87/1.26 maxnrclauses = 10000000
% 0.87/1.26
% 0.87/1.26 showgenerated = 0
% 0.87/1.26 showkept = 0
% 0.87/1.26 showselected = 0
% 0.87/1.26 showdeleted = 0
% 0.87/1.26 showresimp = 1
% 0.87/1.26 showstatus = 2000
% 0.87/1.26
% 0.87/1.26 prologoutput = 0
% 0.87/1.26 nrgoals = 5000000
% 0.87/1.26 totalproof = 1
% 0.87/1.26
% 0.87/1.26 Symbols occurring in the translation:
% 0.87/1.26
% 0.87/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.26 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.87/1.26 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.87/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.26 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.87/1.26 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.87/1.26 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.87/1.26 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.87/1.26 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.26 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.87/1.26 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.87/1.26 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.87/1.26 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Starting Search:
% 0.87/1.26
% 0.87/1.26 *** allocated 15000 integers for clauses
% 0.87/1.26 *** allocated 22500 integers for clauses
% 0.87/1.26 *** allocated 33750 integers for clauses
% 0.87/1.26 *** allocated 15000 integers for termspace/termends
% 0.87/1.26
% 0.87/1.26 Bliksems!, er is een bewijs:
% 0.87/1.26 % SZS status Theorem
% 0.87/1.26 % SZS output start Refutation
% 0.87/1.26
% 0.87/1.26 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.87/1.26 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.87/1.26 , ! distinct_lines( X, Y ) }.
% 0.87/1.26 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.87/1.26 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.87/1.26 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 0.87/1.26 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.87/1.26 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 0.87/1.26 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.87/1.26 (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 0.87/1.26 (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2, skol3 ) }.
% 0.87/1.26 (17) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3, line_connecting( skol1
% 0.87/1.26 , skol2 ) ) }.
% 0.87/1.26 (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.87/1.26 ( X, Y ) }.
% 0.87/1.26 (31) {G2,W5,D3,L1,V0,M1} R(28,17) { distinct_lines( line_connecting( skol1
% 0.87/1.26 , skol2 ), skol3 ) }.
% 0.87/1.26 (59) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X, Z ),
% 0.87/1.26 apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 0.87/1.26 (72) {G2,W14,D3,L4,V3,M2} F(59);r(7) { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 0.87/1.26 ), apart_point_and_line( Y, Z ) }.
% 0.87/1.26 (691) {G3,W11,D3,L3,V1,M1} R(72,15) { ! distinct_points( skol1, X ), !
% 0.87/1.26 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.87/1.26 apart_point_and_line( X, skol3 ) }.
% 0.87/1.26 (717) {G4,W5,D3,L1,V0,M1} R(691,16);r(14) { ! distinct_lines(
% 0.87/1.26 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 (718) {G5,W0,D0,L0,V0,M0} S(717);r(31) { }.
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 % SZS output end Refutation
% 0.87/1.26 found a proof!
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Unprocessed initial clauses:
% 0.87/1.26
% 0.87/1.26 (720) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.87/1.26 (721) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.87/1.26 (722) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.87/1.26 (723) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.87/1.26 , Z ), distinct_points( Y, Z ) }.
% 0.87/1.26 (724) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.87/1.26 ), distinct_lines( Y, Z ) }.
% 0.87/1.26 (725) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.87/1.26 X, Z ), convergent_lines( Y, Z ) }.
% 0.87/1.26 (726) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.87/1.26 (727) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.87/1.26 (728) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.87/1.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.87/1.26 (729) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.87/1.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.87/1.26 (730) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.87/1.26 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.87/1.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.87/1.26 (731) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.87/1.26 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.87/1.26 (732) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.87/1.26 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.87/1.26 (733) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.87/1.26 , Z ), convergent_lines( X, Z ) }.
% 0.87/1.26 (734) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.87/1.26 (735) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 0.87/1.26 (736) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3 ) }.
% 0.87/1.26 (737) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3, line_connecting( skol1
% 0.87/1.26 , skol2 ) ) }.
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Total Proof:
% 0.87/1.26
% 0.87/1.26 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.87/1.26 parent0: (721) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.87/1.26 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.87/1.26 parent0: (724) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.87/1.26 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := Z
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 2
% 0.87/1.26 1 ==> 0
% 0.87/1.26 2 ==> 1
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.87/1.26 parent0: (726) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 1 ==> 1
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.87/1.26 parent0: (727) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 1 ==> 1
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.87/1.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.87/1.26 apart_point_and_line( X, Z ) }.
% 0.87/1.26 parent0: (730) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 0.87/1.26 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.87/1.26 apart_point_and_line( Y, T ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := Z
% 0.87/1.26 T := T
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 1 ==> 1
% 0.87/1.26 2 ==> 5
% 0.87/1.26 3 ==> 2
% 0.87/1.26 4 ==> 3
% 0.87/1.26 5 ==> 4
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.87/1.26 }.
% 0.87/1.26 parent0: (734) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.87/1.26 skol3 ) }.
% 0.87/1.26 parent0: (735) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3
% 0.87/1.26 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 0.87/1.26 skol3 ) }.
% 0.87/1.26 parent0: (736) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3
% 0.87/1.26 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 0.87/1.26 line_connecting( skol1, skol2 ) ) }.
% 0.87/1.26 parent0: (737) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3,
% 0.87/1.26 line_connecting( skol1, skol2 ) ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (791) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.87/1.26 distinct_lines( X, Y ) }.
% 0.87/1.26 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.87/1.26 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.87/1.26 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := X
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.87/1.26 distinct_lines( X, Y ) }.
% 0.87/1.26 parent0: (791) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.87/1.26 distinct_lines( X, Y ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := Y
% 0.87/1.26 Y := X
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 1
% 0.87/1.26 1 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (793) {G1,W5,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.87/1.26 skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.87/1.26 distinct_lines( X, Y ) }.
% 0.87/1.26 parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 0.87/1.26 line_connecting( skol1, skol2 ) ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := line_connecting( skol1, skol2 )
% 0.87/1.26 Y := skol3
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (31) {G2,W5,D3,L1,V0,M1} R(28,17) { distinct_lines(
% 0.87/1.26 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent0: (793) {G1,W5,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.87/1.26 skol1, skol2 ), skol3 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (797) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Y ), T ),
% 0.87/1.26 apart_point_and_line( X, T ), apart_point_and_line( Z, line_connecting( X
% 0.87/1.26 , Y ) ), apart_point_and_line( Z, T ) }.
% 0.87/1.26 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.87/1.26 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.87/1.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.87/1.26 apart_point_and_line( X, Z ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Z
% 0.87/1.26 Z := line_connecting( X, Y )
% 0.87/1.26 T := T
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (59) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 0.87/1.26 , ! distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X, Z
% 0.87/1.26 ), apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 0.87/1.26 parent0: (797) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Y ), T ),
% 0.87/1.26 apart_point_and_line( X, T ), apart_point_and_line( Z, line_connecting( X
% 0.87/1.26 , Y ) ), apart_point_and_line( Z, T ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Z
% 0.87/1.26 Z := Y
% 0.87/1.26 T := T
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 2
% 0.87/1.26 1 ==> 0
% 0.87/1.26 2 ==> 1
% 0.87/1.26 3 ==> 4
% 0.87/1.26 4 ==> 5
% 0.87/1.26 5 ==> 3
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 factor: (810) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.87/1.26 ), apart_point_and_line( X, Z ), apart_point_and_line( Y,
% 0.87/1.26 line_connecting( X, Y ) ) }.
% 0.87/1.26 parent0[0, 2]: (59) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y
% 0.87/1.26 ), ! distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X
% 0.87/1.26 , Z ), apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := Y
% 0.87/1.26 T := Z
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (817) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 0.87/1.26 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.87/1.26 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.87/1.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.87/1.26 parent1[4]: (810) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.87/1.26 ), apart_point_and_line( X, Z ), apart_point_and_line( Y,
% 0.87/1.26 line_connecting( X, Y ) ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := Z
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 factor: (818) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.87/1.26 ), apart_point_and_line( X, Z ) }.
% 0.87/1.26 parent0[0, 1]: (817) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 0.87/1.26 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := Z
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (72) {G2,W14,D3,L4,V3,M2} F(59);r(7) { ! distinct_points( X, Y
% 0.87/1.26 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 0.87/1.26 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 0.87/1.26 parent0: (818) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 0.87/1.26 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.87/1.26 ), apart_point_and_line( X, Z ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 Y := Y
% 0.87/1.26 Z := Z
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 1 ==> 1
% 0.87/1.26 2 ==> 3
% 0.87/1.26 3 ==> 2
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (820) {G1,W11,D3,L3,V1,M3} { ! distinct_points( skol1, X ), !
% 0.87/1.26 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.87/1.26 apart_point_and_line( X, skol3 ) }.
% 0.87/1.26 parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.87/1.26 skol3 ) }.
% 0.87/1.26 parent1[2]: (72) {G2,W14,D3,L4,V3,M2} F(59);r(7) { ! distinct_points( X, Y
% 0.87/1.26 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 0.87/1.26 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 X := skol1
% 0.87/1.26 Y := X
% 0.87/1.26 Z := skol3
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (691) {G3,W11,D3,L3,V1,M1} R(72,15) { ! distinct_points( skol1
% 0.87/1.26 , X ), ! distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.87/1.26 apart_point_and_line( X, skol3 ) }.
% 0.87/1.26 parent0: (820) {G1,W11,D3,L3,V1,M3} { ! distinct_points( skol1, X ), !
% 0.87/1.26 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.87/1.26 apart_point_and_line( X, skol3 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 X := X
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 1 ==> 1
% 0.87/1.26 2 ==> 2
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (822) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.87/1.26 , ! distinct_lines( line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent0[0]: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 0.87/1.26 skol3 ) }.
% 0.87/1.26 parent1[2]: (691) {G3,W11,D3,L3,V1,M1} R(72,15) { ! distinct_points( skol1
% 0.87/1.26 , X ), ! distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.87/1.26 apart_point_and_line( X, skol3 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 X := skol2
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (823) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 0.87/1.26 ( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent0[0]: (822) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.87/1.26 , ! distinct_lines( line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.87/1.26 }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (717) {G4,W5,D3,L1,V0,M1} R(691,16);r(14) { ! distinct_lines(
% 0.87/1.26 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent0: (823) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 0.87/1.26 skol1, skol2 ), skol3 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 0 ==> 0
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 resolution: (824) {G3,W0,D0,L0,V0,M0} { }.
% 0.87/1.26 parent0[0]: (717) {G4,W5,D3,L1,V0,M1} R(691,16);r(14) { ! distinct_lines(
% 0.87/1.26 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 parent1[0]: (31) {G2,W5,D3,L1,V0,M1} R(28,17) { distinct_lines(
% 0.87/1.26 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 substitution1:
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 subsumption: (718) {G5,W0,D0,L0,V0,M0} S(717);r(31) { }.
% 0.87/1.26 parent0: (824) {G3,W0,D0,L0,V0,M0} { }.
% 0.87/1.26 substitution0:
% 0.87/1.26 end
% 0.87/1.26 permutation0:
% 0.87/1.26 end
% 0.87/1.26
% 0.87/1.26 Proof check complete!
% 0.87/1.26
% 0.87/1.26 Memory use:
% 0.87/1.26
% 0.87/1.26 space for terms: 10874
% 0.87/1.26 space for clauses: 25823
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 clauses generated: 14733
% 0.87/1.26 clauses kept: 719
% 0.87/1.26 clauses selected: 217
% 0.87/1.26 clauses deleted: 1
% 0.87/1.26 clauses inuse deleted: 0
% 0.87/1.26
% 0.87/1.26 subsentry: 48864
% 0.87/1.26 literals s-matched: 39597
% 0.87/1.26 literals matched: 39538
% 0.87/1.26 full subsumption: 27833
% 0.87/1.26
% 0.87/1.26 checksum: -11648203
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Bliksem ended
%------------------------------------------------------------------------------