%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO206+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:52:43 EDT 2022
% Result : Theorem 0.96s 1.35s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GEO206+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.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 : Fri Jun 17 15:45:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.35 *** allocated 10000 integers for termspace/termends
% 0.96/1.35 *** allocated 10000 integers for clauses
% 0.96/1.35 *** allocated 10000 integers for justifications
% 0.96/1.35 Bliksem 1.12
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Automatic Strategy Selection
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Clauses:
% 0.96/1.35
% 0.96/1.35 { ! distinct_points( X, X ) }.
% 0.96/1.35 { ! distinct_lines( X, X ) }.
% 0.96/1.35 { ! convergent_lines( X, X ) }.
% 0.96/1.35 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.96/1.35 ) }.
% 0.96/1.35 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.96/1.35 }.
% 0.96/1.35 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.96/1.35 , Z ) }.
% 0.96/1.35 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.96/1.35 , Y ) ), distinct_points( Z, X ) }.
% 0.96/1.35 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.96/1.35 , Y ) ), distinct_points( Z, Y ) }.
% 0.96/1.35 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 0.96/1.35 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.96/1.35 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 0.96/1.35 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.96/1.35 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.96/1.35 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.96/1.35 apart_point_and_line( Y, T ) }.
% 0.96/1.35 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.96/1.35 apart_point_and_line( Z, Y ) }.
% 0.96/1.35 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.96/1.35 apart_point_and_line( X, Z ) }.
% 0.96/1.35 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 0.96/1.35 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.96/1.35 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.96/1.35 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.96/1.35 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.96/1.35 { ! apart_point_and_line( skol1, skol2 ) }.
% 0.96/1.35 { ! convergent_lines( skol2, skol3 ) }.
% 0.96/1.35 { distinct_lines( skol2, parallel_through_point( skol3, skol1 ) ) }.
% 0.96/1.35
% 0.96/1.35 percentage equality = 0.000000, percentage horn = 0.650000
% 0.96/1.35 This a non-horn, non-equality problem
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Options Used:
% 0.96/1.35
% 0.96/1.35 useres = 1
% 0.96/1.35 useparamod = 0
% 0.96/1.35 useeqrefl = 0
% 0.96/1.35 useeqfact = 0
% 0.96/1.35 usefactor = 1
% 0.96/1.35 usesimpsplitting = 0
% 0.96/1.35 usesimpdemod = 0
% 0.96/1.35 usesimpres = 3
% 0.96/1.35
% 0.96/1.35 resimpinuse = 1000
% 0.96/1.35 resimpclauses = 20000
% 0.96/1.35 substype = standard
% 0.96/1.35 backwardsubs = 1
% 0.96/1.35 selectoldest = 5
% 0.96/1.35
% 0.96/1.35 litorderings [0] = split
% 0.96/1.35 litorderings [1] = liftord
% 0.96/1.35
% 0.96/1.35 termordering = none
% 0.96/1.35
% 0.96/1.35 litapriori = 1
% 0.96/1.35 termapriori = 0
% 0.96/1.35 litaposteriori = 0
% 0.96/1.35 termaposteriori = 0
% 0.96/1.35 demodaposteriori = 0
% 0.96/1.35 ordereqreflfact = 0
% 0.96/1.35
% 0.96/1.35 litselect = none
% 0.96/1.35
% 0.96/1.35 maxweight = 15
% 0.96/1.35 maxdepth = 30000
% 0.96/1.35 maxlength = 115
% 0.96/1.35 maxnrvars = 195
% 0.96/1.35 excuselevel = 1
% 0.96/1.35 increasemaxweight = 1
% 0.96/1.35
% 0.96/1.35 maxselected = 10000000
% 0.96/1.35 maxnrclauses = 10000000
% 0.96/1.35
% 0.96/1.35 showgenerated = 0
% 0.96/1.35 showkept = 0
% 0.96/1.35 showselected = 0
% 0.96/1.35 showdeleted = 0
% 0.96/1.35 showresimp = 1
% 0.96/1.35 showstatus = 2000
% 0.96/1.35
% 0.96/1.35 prologoutput = 0
% 0.96/1.35 nrgoals = 5000000
% 0.96/1.35 totalproof = 1
% 0.96/1.35
% 0.96/1.35 Symbols occurring in the translation:
% 0.96/1.35
% 0.96/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.35 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.96/1.35 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.96/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.35 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.96/1.35 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.96/1.35 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.96/1.35 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.96/1.35 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.96/1.35 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.96/1.35 parallel_through_point [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.96/1.35 skol1 [47, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.96/1.35 skol2 [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.96/1.35 skol3 [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Starting Search:
% 0.96/1.35
% 0.96/1.35 *** allocated 15000 integers for clauses
% 0.96/1.35 *** allocated 22500 integers for clauses
% 0.96/1.35 *** allocated 33750 integers for clauses
% 0.96/1.35 *** allocated 15000 integers for termspace/termends
% 0.96/1.35 *** allocated 50625 integers for clauses
% 0.96/1.35 Resimplifying inuse:
% 0.96/1.35 Done
% 0.96/1.35
% 0.96/1.35 *** allocated 22500 integers for termspace/termends
% 0.96/1.35 *** allocated 75937 integers for clauses
% 0.96/1.35 *** allocated 33750 integers for termspace/termends
% 0.96/1.35 *** allocated 113905 integers for clauses
% 0.96/1.35
% 0.96/1.35 Intermediate Status:
% 0.96/1.35 Generated: 13686
% 0.96/1.35 Kept: 2037
% 0.96/1.35 Inuse: 186
% 0.96/1.35 Deleted: 0
% 0.96/1.35 Deletedinuse: 0
% 0.96/1.35
% 0.96/1.35 Resimplifying inuse:
% 0.96/1.35 Done
% 0.96/1.35
% 0.96/1.35 *** allocated 50625 integers for termspace/termends
% 0.96/1.35
% 0.96/1.35 Bliksems!, er is een bewijs:
% 0.96/1.35 % SZS status Theorem
% 0.96/1.35 % SZS output start Refutation
% 0.96/1.35
% 0.96/1.35 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.96/1.35 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.96/1.35 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.96/1.35 , ! distinct_lines( X, Y ) }.
% 0.96/1.35 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.96/1.35 Z ), ! convergent_lines( X, Y ) }.
% 0.96/1.35 (14) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines( parallel_through_point( Y
% 0.96/1.35 , X ), Y ) }.
% 0.96/1.35 (15) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 0.96/1.35 parallel_through_point( Y, X ) ) }.
% 0.96/1.35 (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ), convergent_lines( X
% 0.96/1.35 , Y ), apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.96/1.35 (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol2 ) }.
% 0.96/1.35 (18) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol3 ) }.
% 0.96/1.35 (19) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol2, parallel_through_point
% 0.96/1.35 ( skol3, skol1 ) ) }.
% 0.96/1.35 (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.96/1.35 ( X, Y ) }.
% 0.96/1.35 (31) {G2,W5,D3,L1,V0,M1} R(28,19) { distinct_lines( parallel_through_point
% 0.96/1.35 ( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 (38) {G1,W6,D2,L2,V1,M2} R(5,18) { ! convergent_lines( skol2, X ),
% 0.96/1.35 convergent_lines( X, skol3 ) }.
% 0.96/1.35 (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 (69) {G2,W5,D3,L1,V1,M1} R(38,14) { ! convergent_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, X ) ) }.
% 0.96/1.35 (70) {G3,W5,D3,L1,V1,M1} R(69,40) { ! convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, X ), skol2 ) }.
% 0.96/1.35 (234) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( X, skol2 ), !
% 0.96/1.35 distinct_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.96/1.35 (1012) {G2,W10,D3,L2,V1,M1} R(234,15) { convergent_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.96/1.35 (2524) {G4,W0,D0,L0,V0,M0} R(1012,31);r(70) { }.
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 % SZS output end Refutation
% 0.96/1.35 found a proof!
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Unprocessed initial clauses:
% 0.96/1.35
% 0.96/1.35 (2526) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.96/1.35 (2527) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.96/1.35 (2528) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.96/1.35 (2529) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.96/1.35 , Z ), distinct_points( Y, Z ) }.
% 0.96/1.35 (2530) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.96/1.35 Z ), distinct_lines( Y, Z ) }.
% 0.96/1.35 (2531) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.96/1.35 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.96/1.35 (2532) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.96/1.35 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.96/1.35 ) }.
% 0.96/1.35 (2533) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.96/1.35 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.96/1.35 ) }.
% 0.96/1.35 (2534) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.96/1.35 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.96/1.35 Y ) ) }.
% 0.96/1.35 (2535) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.96/1.35 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.96/1.35 Y ) ) }.
% 0.96/1.35 (2536) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.96/1.35 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.96/1.35 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.96/1.35 (2537) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.96/1.35 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.96/1.35 (2538) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.96/1.35 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.96/1.35 (2539) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 0.96/1.35 , Y ) }.
% 0.96/1.35 (2540) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.96/1.35 , X ), Y ) }.
% 0.96/1.35 (2541) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.96/1.35 parallel_through_point( Y, X ) ) }.
% 0.96/1.35 (2542) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.96/1.35 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 (2543) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2 ) }.
% 0.96/1.35 (2544) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3 ) }.
% 0.96/1.35 (2545) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol2, parallel_through_point
% 0.96/1.35 ( skol3, skol1 ) ) }.
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Total Proof:
% 0.96/1.35
% 0.96/1.35 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.96/1.35 parent0: (2527) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.96/1.35 parent0: (2528) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.96/1.35 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.96/1.35 parent0: (2530) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.96/1.35 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 Z := Z
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 2
% 0.96/1.35 1 ==> 0
% 0.96/1.35 2 ==> 1
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.96/1.35 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.96/1.35 parent0: (2531) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.96/1.35 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 Z := Z
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 2
% 0.96/1.35 1 ==> 0
% 0.96/1.35 2 ==> 1
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (14) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 0.96/1.35 parallel_through_point( Y, X ), Y ) }.
% 0.96/1.35 parent0: (2540) {G0,W5,D3,L1,V2,M1} { ! convergent_lines(
% 0.96/1.35 parallel_through_point( Y, X ), Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (15) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 0.96/1.35 parallel_through_point( Y, X ) ) }.
% 0.96/1.35 parent0: (2541) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.96/1.35 parallel_through_point( Y, X ) ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 0.96/1.35 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.96/1.35 apart_point_and_line( Z, Y ) }.
% 0.96/1.35 parent0: (2542) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.96/1.35 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 Z := Z
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 1 ==> 2
% 0.96/1.35 2 ==> 3
% 0.96/1.35 3 ==> 1
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.96/1.35 skol2 ) }.
% 0.96/1.35 parent0: (2543) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2
% 0.96/1.35 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol3
% 0.96/1.35 ) }.
% 0.96/1.35 parent0: (2544) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3 )
% 0.96/1.35 }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (19) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, skol1 ) ) }.
% 0.96/1.35 parent0: (2545) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, skol1 ) ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2609) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.96/1.35 distinct_lines( X, Y ) }.
% 0.96/1.35 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.96/1.35 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.96/1.35 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 Z := X
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.96/1.35 distinct_lines( X, Y ) }.
% 0.96/1.35 parent0: (2609) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.96/1.35 distinct_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := Y
% 0.96/1.35 Y := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 1
% 0.96/1.35 1 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2611) {G1,W5,D3,L1,V0,M1} { distinct_lines(
% 0.96/1.35 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.96/1.35 distinct_lines( X, Y ) }.
% 0.96/1.35 parent1[0]: (19) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, skol1 ) ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := parallel_through_point( skol3, skol1 )
% 0.96/1.35 Y := skol2
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (31) {G2,W5,D3,L1,V0,M1} R(28,19) { distinct_lines(
% 0.96/1.35 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 parent0: (2611) {G1,W5,D3,L1,V0,M1} { distinct_lines(
% 0.96/1.35 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2612) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 0.96/1.35 convergent_lines( skol2, X ) }.
% 0.96/1.35 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol3 )
% 0.96/1.35 }.
% 0.96/1.35 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.96/1.35 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := skol2
% 0.96/1.35 Y := X
% 0.96/1.35 Z := skol3
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (38) {G1,W6,D2,L2,V1,M2} R(5,18) { ! convergent_lines( skol2,
% 0.96/1.35 X ), convergent_lines( X, skol3 ) }.
% 0.96/1.35 parent0: (2612) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 0.96/1.35 convergent_lines( skol2, X ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 1
% 0.96/1.35 1 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2614) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.96/1.35 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.96/1.35 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := X
% 0.96/1.35 Y := Y
% 0.96/1.35 Z := X
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 parent0: (2614) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := Y
% 0.96/1.35 Y := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 1
% 0.96/1.35 1 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2616) {G1,W5,D3,L1,V1,M1} { ! convergent_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, X ) ) }.
% 0.96/1.35 parent0[0]: (14) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 0.96/1.35 parallel_through_point( Y, X ), Y ) }.
% 0.96/1.35 parent1[1]: (38) {G1,W6,D2,L2,V1,M2} R(5,18) { ! convergent_lines( skol2, X
% 0.96/1.35 ), convergent_lines( X, skol3 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 Y := skol3
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := parallel_through_point( skol3, X )
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (69) {G2,W5,D3,L1,V1,M1} R(38,14) { ! convergent_lines( skol2
% 0.96/1.35 , parallel_through_point( skol3, X ) ) }.
% 0.96/1.35 parent0: (2616) {G1,W5,D3,L1,V1,M1} { ! convergent_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, X ) ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2617) {G2,W5,D3,L1,V1,M1} { ! convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, X ), skol2 ) }.
% 0.96/1.35 parent0[0]: (69) {G2,W5,D3,L1,V1,M1} R(38,14) { ! convergent_lines( skol2,
% 0.96/1.35 parallel_through_point( skol3, X ) ) }.
% 0.96/1.35 parent1[1]: (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.96/1.35 convergent_lines( X, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := skol2
% 0.96/1.35 Y := parallel_through_point( skol3, X )
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (70) {G3,W5,D3,L1,V1,M1} R(69,40) { ! convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, X ), skol2 ) }.
% 0.96/1.35 parent0: (2617) {G2,W5,D3,L1,V1,M1} { ! convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, X ), skol2 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2619) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( X, skol2 ),
% 0.96/1.35 convergent_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.96/1.35 parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.96/1.35 skol2 ) }.
% 0.96/1.35 parent1[3]: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 0.96/1.35 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.96/1.35 apart_point_and_line( Z, Y ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := X
% 0.96/1.35 Y := skol2
% 0.96/1.35 Z := skol1
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (234) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( X,
% 0.96/1.35 skol2 ), ! distinct_lines( X, skol2 ), apart_point_and_line( skol1, X )
% 0.96/1.35 }.
% 0.96/1.35 parent0: (2619) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( X, skol2 ),
% 0.96/1.35 convergent_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 1
% 0.96/1.35 1 ==> 0
% 0.96/1.35 2 ==> 2
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2620) {G1,W10,D3,L2,V1,M2} { convergent_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.96/1.35 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 0.96/1.35 parallel_through_point( Y, X ) ) }.
% 0.96/1.35 parent1[2]: (234) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( X, skol2
% 0.96/1.35 ), ! distinct_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := skol1
% 0.96/1.35 Y := X
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 X := parallel_through_point( X, skol1 )
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (1012) {G2,W10,D3,L2,V1,M1} R(234,15) { convergent_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.96/1.35 parent0: (2620) {G1,W10,D3,L2,V1,M2} { convergent_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := X
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 0 ==> 0
% 0.96/1.35 1 ==> 1
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2621) {G3,W5,D3,L1,V0,M1} { convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 parent0[1]: (1012) {G2,W10,D3,L2,V1,M1} R(234,15) { convergent_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.96/1.35 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.96/1.35 parent1[0]: (31) {G2,W5,D3,L1,V0,M1} R(28,19) { distinct_lines(
% 0.96/1.35 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := skol3
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 resolution: (2622) {G4,W0,D0,L0,V0,M0} { }.
% 0.96/1.35 parent0[0]: (70) {G3,W5,D3,L1,V1,M1} R(69,40) { ! convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, X ), skol2 ) }.
% 0.96/1.35 parent1[0]: (2621) {G3,W5,D3,L1,V0,M1} { convergent_lines(
% 0.96/1.35 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.96/1.35 substitution0:
% 0.96/1.35 X := skol1
% 0.96/1.35 end
% 0.96/1.35 substitution1:
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 subsumption: (2524) {G4,W0,D0,L0,V0,M0} R(1012,31);r(70) { }.
% 0.96/1.35 parent0: (2622) {G4,W0,D0,L0,V0,M0} { }.
% 0.96/1.35 substitution0:
% 0.96/1.35 end
% 0.96/1.35 permutation0:
% 0.96/1.35 end
% 0.96/1.35
% 0.96/1.35 Proof check complete!
% 0.96/1.35
% 0.96/1.35 Memory use:
% 0.96/1.35
% 0.96/1.35 space for terms: 35963
% 0.96/1.35 space for clauses: 93984
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 clauses generated: 21157
% 0.96/1.35 clauses kept: 2525
% 0.96/1.35 clauses selected: 244
% 0.96/1.35 clauses deleted: 0
% 0.96/1.35 clauses inuse deleted: 0
% 0.96/1.35
% 0.96/1.35 subsentry: 745532
% 0.96/1.35 literals s-matched: 212646
% 0.96/1.35 literals matched: 212616
% 0.96/1.35 full subsumption: 112650
% 0.96/1.35
% 0.96/1.35 checksum: 1293885617
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Bliksem ended
%------------------------------------------------------------------------------