TSTP Solution File: GEO216+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO216+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 02:52:52 EDT 2022
% Result : Theorem 0.45s 0.87s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO216+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : bliksem %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Sat Jun 18 03:26:46 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.45/0.87 *** allocated 10000 integers for termspace/termends
% 0.45/0.87 *** allocated 10000 integers for clauses
% 0.45/0.87 *** allocated 10000 integers for justifications
% 0.45/0.87 Bliksem 1.12
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Automatic Strategy Selection
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Clauses:
% 0.45/0.87
% 0.45/0.87 { ! distinct_points( X, X ) }.
% 0.45/0.87 { ! distinct_lines( X, X ) }.
% 0.45/0.87 { ! convergent_lines( X, X ) }.
% 0.45/0.87 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.45/0.87 ) }.
% 0.45/0.87 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.45/0.87 }.
% 0.45/0.87 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.45/0.87 , Z ) }.
% 0.45/0.87 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.45/0.87 , Y ) ), distinct_points( Z, X ) }.
% 0.45/0.87 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.45/0.87 , Y ) ), distinct_points( Z, Y ) }.
% 0.45/0.87 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 0.45/0.87 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.45/0.87 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 0.45/0.87 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.45/0.87 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.45/0.87 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.45/0.87 apart_point_and_line( Y, T ) }.
% 0.45/0.87 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.45/0.87 apart_point_and_line( Z, Y ) }.
% 0.45/0.87 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.45/0.87 apart_point_and_line( X, Z ) }.
% 0.45/0.87 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 0.45/0.87 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 0.45/0.87 { alpha1( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 0.45/0.87 unorthogonal_lines( X, Y ) }.
% 0.45/0.87 { alpha1( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 0.45/0.87 unorthogonal_lines( X, Y ) }.
% 0.45/0.87 { ! alpha1( X, Y ), convergent_lines( Y, X ) }.
% 0.45/0.87 { ! alpha1( X, Y ), unorthogonal_lines( Y, X ) }.
% 0.45/0.87 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha1( X, Y )
% 0.45/0.87 }.
% 0.45/0.87 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 0.45/0.87 convergent_lines( X, Y ) }.
% 0.45/0.87 { ! unorthogonal_lines( skol1, skol1 ) }.
% 0.45/0.87
% 0.45/0.87 percentage equality = 0.000000, percentage horn = 0.545455
% 0.45/0.87 This a non-horn, non-equality problem
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Options Used:
% 0.45/0.87
% 0.45/0.87 useres = 1
% 0.45/0.87 useparamod = 0
% 0.45/0.87 useeqrefl = 0
% 0.45/0.87 useeqfact = 0
% 0.45/0.87 usefactor = 1
% 0.45/0.87 usesimpsplitting = 0
% 0.45/0.87 usesimpdemod = 0
% 0.45/0.87 usesimpres = 3
% 0.45/0.87
% 0.45/0.87 resimpinuse = 1000
% 0.45/0.87 resimpclauses = 20000
% 0.45/0.87 substype = standard
% 0.45/0.87 backwardsubs = 1
% 0.45/0.87 selectoldest = 5
% 0.45/0.87
% 0.45/0.87 litorderings [0] = split
% 0.45/0.87 litorderings [1] = liftord
% 0.45/0.87
% 0.45/0.87 termordering = none
% 0.45/0.87
% 0.45/0.87 litapriori = 1
% 0.45/0.87 termapriori = 0
% 0.45/0.87 litaposteriori = 0
% 0.45/0.87 termaposteriori = 0
% 0.45/0.87 demodaposteriori = 0
% 0.45/0.87 ordereqreflfact = 0
% 0.45/0.87
% 0.45/0.87 litselect = none
% 0.45/0.87
% 0.45/0.87 maxweight = 15
% 0.45/0.87 maxdepth = 30000
% 0.45/0.87 maxlength = 115
% 0.45/0.87 maxnrvars = 195
% 0.45/0.87 excuselevel = 1
% 0.45/0.87 increasemaxweight = 1
% 0.45/0.87
% 0.45/0.87 maxselected = 10000000
% 0.45/0.87 maxnrclauses = 10000000
% 0.45/0.87
% 0.45/0.87 showgenerated = 0
% 0.45/0.87 showkept = 0
% 0.45/0.87 showselected = 0
% 0.45/0.87 showdeleted = 0
% 0.45/0.87 showresimp = 1
% 0.45/0.87 showstatus = 2000
% 0.45/0.87
% 0.45/0.87 prologoutput = 0
% 0.45/0.87 nrgoals = 5000000
% 0.45/0.87 totalproof = 1
% 0.45/0.87
% 0.45/0.87 Symbols occurring in the translation:
% 0.45/0.87
% 0.45/0.87 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/0.87 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.45/0.87 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.45/0.87 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/0.87 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/0.87 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.45/0.87 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.45/0.87 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.45/0.87 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.45/0.87 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.45/0.87 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.45/0.87 unorthogonal_lines [48, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.45/0.87 alpha1 [50, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.45/0.87 skol1 [51, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Starting Search:
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Bliksems!, er is een bewijs:
% 0.45/0.87 % SZS status Theorem
% 0.45/0.87 % SZS output start Refutation
% 0.45/0.87
% 0.45/0.87 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.45/0.87 (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 0.45/0.87 X, Y ) }.
% 0.45/0.87 (21) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol1, skol1 ) }.
% 0.45/0.87 (27) {G1,W0,D0,L0,V0,M0} R(14,21);r(2) { }.
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 % SZS output end Refutation
% 0.45/0.87 found a proof!
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Unprocessed initial clauses:
% 0.45/0.87
% 0.45/0.87 (29) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.45/0.87 (30) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.45/0.87 (31) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.45/0.87 (32) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X,
% 0.45/0.87 Z ), distinct_points( Y, Z ) }.
% 0.45/0.87 (33) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.45/0.87 ), distinct_lines( Y, Z ) }.
% 0.45/0.87 (34) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines( X
% 0.45/0.87 , Z ), convergent_lines( Y, Z ) }.
% 0.45/0.87 (35) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.45/0.87 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.45/0.87 ) }.
% 0.45/0.87 (36) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.45/0.87 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.45/0.87 ) }.
% 0.45/0.87 (37) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.45/0.87 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.45/0.87 Y ) ) }.
% 0.45/0.87 (38) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.45/0.87 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.45/0.87 Y ) ) }.
% 0.45/0.87 (39) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines( Z
% 0.45/0.87 , T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.45/0.87 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.45/0.87 (40) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_points
% 0.45/0.87 ( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.45/0.87 (41) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.45/0.87 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.45/0.87 (42) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X,
% 0.45/0.87 Y ) }.
% 0.45/0.87 (43) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines( X
% 0.45/0.87 , Y ) }.
% 0.45/0.87 (44) {G0,W12,D2,L4,V3,M4} { alpha1( X, Z ), convergent_lines( Z, Y ), !
% 0.45/0.87 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.45/0.87 (45) {G0,W12,D2,L4,V3,M4} { alpha1( X, Z ), unorthogonal_lines( Z, Y ), !
% 0.45/0.87 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 0.45/0.87 (46) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( Y, X ) }.
% 0.45/0.87 (47) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( Y, X )
% 0.45/0.87 }.
% 0.45/0.87 (48) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 0.45/0.87 unorthogonal_lines( Y, X ), alpha1( X, Y ) }.
% 0.45/0.87 (49) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ), unorthogonal_lines
% 0.45/0.87 ( Z, Y ), ! convergent_lines( X, Y ) }.
% 0.45/0.87 (50) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol1, skol1 ) }.
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Total Proof:
% 0.45/0.87
% 0.45/0.87 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.45/0.87 parent0: (31) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 0 ==> 0
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.45/0.87 unorthogonal_lines( X, Y ) }.
% 0.45/0.87 parent0: (43) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 0.45/0.87 unorthogonal_lines( X, Y ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 0 ==> 0
% 0.45/0.87 1 ==> 1
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 subsumption: (21) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol1,
% 0.45/0.87 skol1 ) }.
% 0.45/0.87 parent0: (50) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol1, skol1 )
% 0.45/0.87 }.
% 0.45/0.87 substitution0:
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 0 ==> 0
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 resolution: (70) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol1 )
% 0.45/0.87 }.
% 0.45/0.87 parent0[0]: (21) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol1, skol1
% 0.45/0.87 ) }.
% 0.45/0.87 parent1[1]: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 0.45/0.87 unorthogonal_lines( X, Y ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 X := skol1
% 0.45/0.87 Y := skol1
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 resolution: (71) {G1,W0,D0,L0,V0,M0} { }.
% 0.45/0.87 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.45/0.87 parent1[0]: (70) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol1 )
% 0.45/0.87 }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := skol1
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 subsumption: (27) {G1,W0,D0,L0,V0,M0} R(14,21);r(2) { }.
% 0.45/0.87 parent0: (71) {G1,W0,D0,L0,V0,M0} { }.
% 0.45/0.87 substitution0:
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 Proof check complete!
% 0.45/0.87
% 0.45/0.87 Memory use:
% 0.45/0.87
% 0.45/0.87 space for terms: 831
% 0.45/0.87 space for clauses: 1283
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 clauses generated: 53
% 0.45/0.87 clauses kept: 28
% 0.45/0.87 clauses selected: 9
% 0.45/0.87 clauses deleted: 0
% 0.45/0.87 clauses inuse deleted: 0
% 0.45/0.87
% 0.45/0.87 subsentry: 80
% 0.45/0.87 literals s-matched: 63
% 0.45/0.87 literals matched: 53
% 0.45/0.87 full subsumption: 20
% 0.45/0.87
% 0.45/0.87 checksum: 262612
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Bliksem ended
%------------------------------------------------------------------------------