TSTP Solution File: GEO173+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:52:14 EDT 2022
% Result : Theorem 0.84s 1.23s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 01:32:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.23 *** allocated 10000 integers for termspace/termends
% 0.84/1.23 *** allocated 10000 integers for clauses
% 0.84/1.23 *** allocated 10000 integers for justifications
% 0.84/1.23 Bliksem 1.12
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Automatic Strategy Selection
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Clauses:
% 0.84/1.23
% 0.84/1.23 { ! distinct_points( X, X ) }.
% 0.84/1.23 { ! distinct_lines( X, X ) }.
% 0.84/1.23 { ! convergent_lines( X, X ) }.
% 0.84/1.23 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.84/1.23 ) }.
% 0.84/1.23 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.84/1.23 }.
% 0.84/1.23 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.84/1.23 , Z ) }.
% 0.84/1.23 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.84/1.23 , Y ) ) }.
% 0.84/1.23 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.84/1.23 , Y ) ) }.
% 0.84/1.23 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.84/1.23 , Y ), X ) }.
% 0.84/1.23 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.84/1.23 , Y ), Y ) }.
% 0.84/1.23 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.84/1.23 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.84/1.23 apart_point_and_line( Y, T ) }.
% 0.84/1.23 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.84/1.23 apart_point_and_line( Z, Y ) }.
% 0.84/1.23 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.84/1.23 apart_point_and_line( X, Z ) }.
% 0.84/1.23 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.84/1.23 Z ) }.
% 0.84/1.23 { distinct_points( skol1, skol2 ) }.
% 0.84/1.23 { convergent_lines( skol3, skol4 ) }.
% 0.84/1.23 { distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.84/1.23 { ! apart_point_and_line( skol1, skol3 ) }.
% 0.84/1.23 { ! apart_point_and_line( skol2, skol3 ) }.
% 0.84/1.23
% 0.84/1.23 percentage equality = 0.000000, percentage horn = 0.631579
% 0.84/1.23 This a non-horn, non-equality problem
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Options Used:
% 0.84/1.23
% 0.84/1.23 useres = 1
% 0.84/1.23 useparamod = 0
% 0.84/1.23 useeqrefl = 0
% 0.84/1.23 useeqfact = 0
% 0.84/1.23 usefactor = 1
% 0.84/1.23 usesimpsplitting = 0
% 0.84/1.23 usesimpdemod = 0
% 0.84/1.23 usesimpres = 3
% 0.84/1.23
% 0.84/1.23 resimpinuse = 1000
% 0.84/1.23 resimpclauses = 20000
% 0.84/1.23 substype = standard
% 0.84/1.23 backwardsubs = 1
% 0.84/1.23 selectoldest = 5
% 0.84/1.23
% 0.84/1.23 litorderings [0] = split
% 0.84/1.23 litorderings [1] = liftord
% 0.84/1.23
% 0.84/1.23 termordering = none
% 0.84/1.23
% 0.84/1.23 litapriori = 1
% 0.84/1.23 termapriori = 0
% 0.84/1.23 litaposteriori = 0
% 0.84/1.23 termaposteriori = 0
% 0.84/1.23 demodaposteriori = 0
% 0.84/1.23 ordereqreflfact = 0
% 0.84/1.23
% 0.84/1.23 litselect = none
% 0.84/1.23
% 0.84/1.23 maxweight = 15
% 0.84/1.23 maxdepth = 30000
% 0.84/1.23 maxlength = 115
% 0.84/1.23 maxnrvars = 195
% 0.84/1.23 excuselevel = 1
% 0.84/1.23 increasemaxweight = 1
% 0.84/1.23
% 0.84/1.23 maxselected = 10000000
% 0.84/1.23 maxnrclauses = 10000000
% 0.84/1.23
% 0.84/1.23 showgenerated = 0
% 0.84/1.23 showkept = 0
% 0.84/1.23 showselected = 0
% 0.84/1.23 showdeleted = 0
% 0.84/1.23 showresimp = 1
% 0.84/1.23 showstatus = 2000
% 0.84/1.23
% 0.84/1.23 prologoutput = 0
% 0.84/1.23 nrgoals = 5000000
% 0.84/1.23 totalproof = 1
% 0.84/1.23
% 0.84/1.23 Symbols occurring in the translation:
% 0.84/1.23
% 0.84/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.23 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.84/1.23 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.84/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.23 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.84/1.23 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.84/1.23 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.84/1.23 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.84/1.23 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.84/1.23 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.84/1.23 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.84/1.23 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.84/1.23 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.84/1.23 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Starting Search:
% 0.84/1.23
% 0.84/1.23 *** allocated 15000 integers for clauses
% 0.84/1.23 *** allocated 22500 integers for clauses
% 0.84/1.23 *** allocated 33750 integers for clauses
% 0.84/1.23 *** allocated 15000 integers for termspace/termends
% 0.84/1.23
% 0.84/1.23 Bliksems!, er is een bewijs:
% 0.84/1.23 % SZS status Theorem
% 0.84/1.23 % SZS output start Refutation
% 0.84/1.23
% 0.84/1.23 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.84/1.23 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.84/1.23 , ! distinct_lines( X, Y ) }.
% 0.84/1.23 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.84/1.23 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.84/1.23 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 0.84/1.23 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.84/1.23 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 0.84/1.23 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.84/1.23 (16) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3, line_connecting( skol1
% 0.84/1.23 , skol2 ) ) }.
% 0.84/1.23 (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 0.84/1.23 (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2, skol3 ) }.
% 0.84/1.23 (29) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.84/1.23 ( X, Y ) }.
% 0.84/1.23 (32) {G2,W5,D3,L1,V0,M1} R(29,16) { distinct_lines( line_connecting( skol1
% 0.84/1.23 , skol2 ), skol3 ) }.
% 0.84/1.23 (71) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X, Z ),
% 0.84/1.23 apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 0.84/1.23 (80) {G2,W14,D3,L4,V3,M2} F(71);r(7) { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 0.84/1.23 ), apart_point_and_line( Y, Z ) }.
% 0.84/1.23 (753) {G3,W11,D3,L3,V1,M1} R(80,17) { ! distinct_points( skol1, X ), !
% 0.84/1.23 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.84/1.23 apart_point_and_line( X, skol3 ) }.
% 0.84/1.23 (777) {G4,W5,D3,L1,V0,M1} R(753,18);r(14) { ! distinct_lines(
% 0.84/1.23 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 (778) {G5,W0,D0,L0,V0,M0} S(777);r(32) { }.
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 % SZS output end Refutation
% 0.84/1.23 found a proof!
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Unprocessed initial clauses:
% 0.84/1.23
% 0.84/1.23 (780) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.84/1.23 (781) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.84/1.23 (782) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.84/1.23 (783) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.84/1.23 , Z ), distinct_points( Y, Z ) }.
% 0.84/1.23 (784) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.84/1.23 ), distinct_lines( Y, Z ) }.
% 0.84/1.23 (785) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.84/1.23 X, Z ), convergent_lines( Y, Z ) }.
% 0.84/1.23 (786) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.84/1.23 (787) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.84/1.23 (788) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.84/1.23 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.84/1.23 (789) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.84/1.23 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.84/1.23 (790) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.84/1.23 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.84/1.23 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.84/1.23 (791) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.84/1.23 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.84/1.23 (792) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.84/1.23 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.84/1.23 (793) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.84/1.23 , Z ), convergent_lines( X, Z ) }.
% 0.84/1.23 (794) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.84/1.23 (795) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 0.84/1.23 (796) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3, line_connecting( skol1
% 0.84/1.23 , skol2 ) ) }.
% 0.84/1.23 (797) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 0.84/1.23 (798) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3 ) }.
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Total Proof:
% 0.84/1.23
% 0.84/1.23 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.84/1.23 parent0: (781) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.84/1.23 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.84/1.23 parent0: (784) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.84/1.23 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := Z
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 2
% 0.84/1.23 1 ==> 0
% 0.84/1.23 2 ==> 1
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.84/1.23 parent0: (786) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 1 ==> 1
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.84/1.23 parent0: (787) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 1 ==> 1
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.84/1.23 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.84/1.23 apart_point_and_line( X, Z ) }.
% 0.84/1.23 parent0: (790) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 0.84/1.23 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.84/1.23 apart_point_and_line( Y, T ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := Z
% 0.84/1.23 T := T
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 1 ==> 1
% 0.84/1.23 2 ==> 5
% 0.84/1.23 3 ==> 2
% 0.84/1.23 4 ==> 3
% 0.84/1.23 5 ==> 4
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.84/1.23 }.
% 0.84/1.23 parent0: (794) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 0.84/1.23 line_connecting( skol1, skol2 ) ) }.
% 0.84/1.23 parent0: (796) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3,
% 0.84/1.23 line_connecting( skol1, skol2 ) ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.84/1.23 skol3 ) }.
% 0.84/1.23 parent0: (797) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3
% 0.84/1.23 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 0.84/1.23 skol3 ) }.
% 0.84/1.23 parent0: (798) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3
% 0.84/1.23 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (852) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.84/1.23 distinct_lines( X, Y ) }.
% 0.84/1.23 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.84/1.23 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.84/1.23 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := X
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (29) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.84/1.23 distinct_lines( X, Y ) }.
% 0.84/1.23 parent0: (852) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.84/1.23 distinct_lines( X, Y ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := Y
% 0.84/1.23 Y := X
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 1
% 0.84/1.23 1 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (854) {G1,W5,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.84/1.23 skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent0[0]: (29) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.84/1.23 distinct_lines( X, Y ) }.
% 0.84/1.23 parent1[0]: (16) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 0.84/1.23 line_connecting( skol1, skol2 ) ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := line_connecting( skol1, skol2 )
% 0.84/1.23 Y := skol3
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (32) {G2,W5,D3,L1,V0,M1} R(29,16) { distinct_lines(
% 0.84/1.23 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent0: (854) {G1,W5,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.84/1.23 skol1, skol2 ), skol3 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (858) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Y ), T ),
% 0.84/1.23 apart_point_and_line( X, T ), apart_point_and_line( Z, line_connecting( X
% 0.84/1.23 , Y ) ), apart_point_and_line( Z, T ) }.
% 0.84/1.23 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.84/1.23 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.84/1.23 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.84/1.23 apart_point_and_line( X, Z ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Z
% 0.84/1.23 Z := line_connecting( X, Y )
% 0.84/1.23 T := T
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (71) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 0.84/1.23 , ! distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X, Z
% 0.84/1.23 ), apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 0.84/1.23 parent0: (858) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Y ), T ),
% 0.84/1.23 apart_point_and_line( X, T ), apart_point_and_line( Z, line_connecting( X
% 0.84/1.23 , Y ) ), apart_point_and_line( Z, T ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Z
% 0.84/1.23 Z := Y
% 0.84/1.23 T := T
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 2
% 0.84/1.23 1 ==> 0
% 0.84/1.23 2 ==> 1
% 0.84/1.23 3 ==> 4
% 0.84/1.23 4 ==> 5
% 0.84/1.23 5 ==> 3
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 factor: (871) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.84/1.23 ), apart_point_and_line( X, Z ), apart_point_and_line( Y,
% 0.84/1.23 line_connecting( X, Y ) ) }.
% 0.84/1.23 parent0[0, 2]: (71) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y
% 0.84/1.23 ), ! distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X
% 0.84/1.23 , Z ), apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := Y
% 0.84/1.23 T := Z
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (878) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 0.84/1.23 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.84/1.23 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.84/1.23 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.84/1.23 parent1[4]: (871) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.84/1.23 ), apart_point_and_line( X, Z ), apart_point_and_line( Y,
% 0.84/1.23 line_connecting( X, Y ) ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := Z
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 factor: (879) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.84/1.23 ), apart_point_and_line( X, Z ) }.
% 0.84/1.23 parent0[0, 1]: (878) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 0.84/1.23 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := Z
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (80) {G2,W14,D3,L4,V3,M2} F(71);r(7) { ! distinct_points( X, Y
% 0.84/1.23 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 0.84/1.23 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 0.84/1.23 parent0: (879) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 0.84/1.23 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 0.84/1.23 ), apart_point_and_line( X, Z ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 Y := Y
% 0.84/1.23 Z := Z
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 1 ==> 1
% 0.84/1.23 2 ==> 3
% 0.84/1.23 3 ==> 2
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (881) {G1,W11,D3,L3,V1,M3} { ! distinct_points( skol1, X ), !
% 0.84/1.23 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.84/1.23 apart_point_and_line( X, skol3 ) }.
% 0.84/1.23 parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.84/1.23 skol3 ) }.
% 0.84/1.23 parent1[2]: (80) {G2,W14,D3,L4,V3,M2} F(71);r(7) { ! distinct_points( X, Y
% 0.84/1.23 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 0.84/1.23 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 X := skol1
% 0.84/1.23 Y := X
% 0.84/1.23 Z := skol3
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (753) {G3,W11,D3,L3,V1,M1} R(80,17) { ! distinct_points( skol1
% 0.84/1.23 , X ), ! distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.84/1.23 apart_point_and_line( X, skol3 ) }.
% 0.84/1.23 parent0: (881) {G1,W11,D3,L3,V1,M3} { ! distinct_points( skol1, X ), !
% 0.84/1.23 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.84/1.23 apart_point_and_line( X, skol3 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 X := X
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 1 ==> 1
% 0.84/1.23 2 ==> 2
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (883) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.84/1.23 , ! distinct_lines( line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 0.84/1.23 skol3 ) }.
% 0.84/1.23 parent1[2]: (753) {G3,W11,D3,L3,V1,M1} R(80,17) { ! distinct_points( skol1
% 0.84/1.23 , X ), ! distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.84/1.23 apart_point_and_line( X, skol3 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 X := skol2
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (884) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 0.84/1.23 ( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent0[0]: (883) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.84/1.23 , ! distinct_lines( line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.84/1.23 }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (777) {G4,W5,D3,L1,V0,M1} R(753,18);r(14) { ! distinct_lines(
% 0.84/1.23 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent0: (884) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 0.84/1.23 skol1, skol2 ), skol3 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 0 ==> 0
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 resolution: (885) {G3,W0,D0,L0,V0,M0} { }.
% 0.84/1.23 parent0[0]: (777) {G4,W5,D3,L1,V0,M1} R(753,18);r(14) { ! distinct_lines(
% 0.84/1.23 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 parent1[0]: (32) {G2,W5,D3,L1,V0,M1} R(29,16) { distinct_lines(
% 0.84/1.23 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 substitution1:
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 subsumption: (778) {G5,W0,D0,L0,V0,M0} S(777);r(32) { }.
% 0.84/1.23 parent0: (885) {G3,W0,D0,L0,V0,M0} { }.
% 0.84/1.23 substitution0:
% 0.84/1.23 end
% 0.84/1.23 permutation0:
% 0.84/1.23 end
% 0.84/1.23
% 0.84/1.23 Proof check complete!
% 0.84/1.23
% 0.84/1.23 Memory use:
% 0.84/1.23
% 0.84/1.23 space for terms: 11629
% 0.84/1.23 space for clauses: 27940
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 clauses generated: 14718
% 0.84/1.23 clauses kept: 779
% 0.84/1.23 clauses selected: 222
% 0.84/1.23 clauses deleted: 1
% 0.84/1.23 clauses inuse deleted: 0
% 0.84/1.23
% 0.84/1.23 subsentry: 52147
% 0.84/1.23 literals s-matched: 42014
% 0.84/1.23 literals matched: 41955
% 0.84/1.23 full subsumption: 30076
% 0.84/1.23
% 0.84/1.23 checksum: -12422790
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Bliksem ended
%------------------------------------------------------------------------------