TSTP Solution File: NUN089+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Mon Jul 18 16:19:18 EDT 2022
% Result : Theorem 0.43s 1.03s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 : Thu Jun 2 02:58:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.03 *** allocated 10000 integers for termspace/termends
% 0.43/1.03 *** allocated 10000 integers for clauses
% 0.43/1.03 *** allocated 10000 integers for justifications
% 0.43/1.03 Bliksem 1.12
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Automatic Strategy Selection
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Clauses:
% 0.43/1.03
% 0.43/1.03 { alpha1( skol1, X ), ! r1( X ) }.
% 0.43/1.03 { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.43/1.03 { ! alpha1( X, Y ), id( Y, X ) }.
% 0.43/1.03 { ! alpha1( X, Y ), r1( Y ) }.
% 0.43/1.03 { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.43/1.03 { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.43/1.03 { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X ) ) }.
% 0.43/1.03 { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.43/1.03 { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.43/1.03 { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z ) }.
% 0.43/1.03 { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y, Z ) }.
% 0.43/1.03 { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z, skol3( X, Y ) ) }.
% 0.43/1.03 { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.43/1.03 { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.43/1.03 { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 0.43/1.03 { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y, Z ) }.
% 0.43/1.03 { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z, skol4( X, Y ) ) }.
% 0.43/1.03 { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.43/1.03 { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.43/1.03 { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y, Z, T ) }.
% 0.43/1.03 { id( X, X ) }.
% 0.43/1.03 { ! id( X, Y ), id( Y, X ) }.
% 0.43/1.03 { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.43/1.03 { alpha5( X, Y ), r1( X ) }.
% 0.43/1.03 { alpha5( X, Y ), r1( Y ) }.
% 0.43/1.03 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.43/1.03 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.43/1.03 { id( X, Y ), alpha5( X, Y ) }.
% 0.43/1.03 { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.43/1.03 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z ) }.
% 0.43/1.03 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T ) }.
% 0.43/1.03 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X, Z ) }.
% 0.43/1.03 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y, T ) }.
% 0.43/1.03 { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.43/1.03 { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T ) }.
% 0.43/1.03 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( X, Z, U ) }.
% 0.43/1.03 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( Y, T, W ) }.
% 0.43/1.03 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( X, Z, U ) }.
% 0.43/1.03 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( Y, T, W ) }.
% 0.43/1.03 { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.43/1.03 { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.43/1.03 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( X, Z, U ) }.
% 0.43/1.03 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( Y, T, W ) }.
% 0.43/1.03 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( X, Z, U ) }.
% 0.43/1.03 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( Y, T, W ) }.
% 0.43/1.03 { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.43/1.03 { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.43/1.03 { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 0.43/1.03 { r2( Y, skol18( Z, Y ) ) }.
% 0.43/1.03 { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 0.43/1.03 { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 0.43/1.03 { r3( X, Y, skol22( X, Y ) ) }.
% 0.43/1.03 { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 0.43/1.03 { r2( Y, skol19( Z, Y ) ) }.
% 0.43/1.03 { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 0.43/1.03 { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 0.43/1.03 { r4( X, Y, skol23( X, Y ) ) }.
% 0.43/1.03 { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id( X, Y ) }.
% 0.43/1.03 { id( skol7( X ), X ) }.
% 0.43/1.03 { r1( skol14( Y ) ) }.
% 0.43/1.03 { r3( X, skol14( X ), skol7( X ) ) }.
% 0.43/1.03 { r1( skol15( Z ) ) }.
% 0.43/1.03 { id( skol8( Y ), skol15( Y ) ) }.
% 0.43/1.03 { r1( skol20( Y ) ) }.
% 0.43/1.03 { r4( X, skol20( X ), skol8( X ) ) }.
% 0.43/1.03 { alpha9( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.43/1.03 { alpha9( X ), id( X, skol9( X ) ) }.
% 0.43/1.03 { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.43/1.03 { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.43/1.03 { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.43/1.03 { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.43/1.03 { r1( skol21 ) }.
% 0.43/1.03 { r2( skol21, skol17 ) }.
% 0.43/1.03 { r2( skol17, skol11 ) }.
% 0.43/1.03 { id( skol24, skol11 ) }.
% 0.43/1.03 { r1( skol24 ) }.
% 0.43/1.03
% 0.43/1.03 percentage equality = 0.000000, percentage horn = 0.773333
% 0.43/1.03 This a non-horn, non-equality problem
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Options Used:
% 0.43/1.03
% 0.43/1.03 useres = 1
% 0.43/1.03 useparamod = 0
% 0.43/1.03 useeqrefl = 0
% 0.43/1.03 useeqfact = 0
% 0.43/1.03 usefactor = 1
% 0.43/1.03 usesimpsplitting = 0
% 0.43/1.03 usesimpdemod = 0
% 0.43/1.03 usesimpres = 3
% 0.43/1.03
% 0.43/1.03 resimpinuse = 1000
% 0.43/1.03 resimpclauses = 20000
% 0.43/1.03 substype = standard
% 0.43/1.03 backwardsubs = 1
% 0.43/1.03 selectoldest = 5
% 0.43/1.03
% 0.43/1.03 litorderings [0] = split
% 0.43/1.03 litorderings [1] = liftord
% 0.43/1.03
% 0.43/1.03 termordering = none
% 0.43/1.03
% 0.43/1.03 litapriori = 1
% 0.43/1.03 termapriori = 0
% 0.43/1.03 litaposteriori = 0
% 0.43/1.03 termaposteriori = 0
% 0.43/1.03 demodaposteriori = 0
% 0.43/1.03 ordereqreflfact = 0
% 0.43/1.03
% 0.43/1.03 litselect = none
% 0.43/1.03
% 0.43/1.03 maxweight = 15
% 0.43/1.03 maxdepth = 30000
% 0.43/1.03 maxlength = 115
% 0.43/1.03 maxnrvars = 195
% 0.43/1.03 excuselevel = 1
% 0.43/1.03 increasemaxweight = 1
% 0.43/1.03
% 0.43/1.03 maxselected = 10000000
% 0.43/1.03 maxnrclauses = 10000000
% 0.43/1.03
% 0.43/1.03 showgenerated = 0
% 0.43/1.03 showkept = 0
% 0.43/1.03 showselected = 0
% 0.43/1.03 showdeleted = 0
% 0.43/1.03 showresimp = 1
% 0.43/1.03 showstatus = 2000
% 0.43/1.03
% 0.43/1.03 prologoutput = 0
% 0.43/1.03 nrgoals = 5000000
% 0.43/1.03 totalproof = 1
% 0.43/1.03
% 0.43/1.03 Symbols occurring in the translation:
% 0.43/1.03
% 0.43/1.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.03 . [1, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.43/1.03 ! [4, 1] (w:0, o:78, a:1, s:1, b:0),
% 0.43/1.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.03 id [37, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.43/1.03 r1 [38, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.43/1.03 r2 [42, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.43/1.03 r3 [47, 3] (w:1, o:132, a:1, s:1, b:0),
% 0.43/1.03 r4 [52, 3] (w:1, o:133, a:1, s:1, b:0),
% 0.43/1.03 alpha1 [107, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.43/1.03 alpha2 [108, 3] (w:1, o:134, a:1, s:1, b:0),
% 0.43/1.03 alpha3 [109, 4] (w:1, o:135, a:1, s:1, b:0),
% 0.43/1.03 alpha4 [110, 4] (w:1, o:136, a:1, s:1, b:0),
% 0.43/1.03 alpha5 [111, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.43/1.03 alpha6 [112, 4] (w:1, o:137, a:1, s:1, b:0),
% 0.43/1.03 alpha7 [113, 6] (w:1, o:138, a:1, s:1, b:0),
% 0.43/1.03 alpha8 [114, 6] (w:1, o:139, a:1, s:1, b:0),
% 0.43/1.03 alpha9 [115, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.43/1.03 skol1 [116, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.43/1.03 skol2 [117, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.43/1.03 skol3 [118, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.43/1.03 skol4 [119, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.43/1.03 skol5 [120, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.43/1.03 skol6 [121, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.43/1.03 skol7 [122, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.43/1.03 skol8 [123, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.43/1.03 skol9 [124, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.43/1.03 skol10 [125, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.43/1.03 skol11 [126, 0] (w:1, o:74, a:1, s:1, b:0),
% 0.43/1.03 skol12 [127, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.43/1.03 skol13 [128, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.43/1.03 skol14 [129, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.43/1.03 skol15 [130, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.43/1.03 skol16 [131, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.43/1.03 skol17 [132, 0] (w:1, o:75, a:1, s:1, b:0),
% 0.43/1.03 skol18 [133, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.43/1.03 skol19 [134, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.43/1.03 skol20 [135, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.43/1.03 skol21 [136, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.43/1.03 skol22 [137, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.43/1.03 skol23 [138, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.43/1.03 skol24 [139, 0] (w:1, o:77, a:1, s:1, b:0).
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Starting Search:
% 0.43/1.03
% 0.43/1.03 *** allocated 15000 integers for clauses
% 0.43/1.03
% 0.43/1.03 Bliksems!, er is een bewijs:
% 0.43/1.03 % SZS status Theorem
% 0.43/1.03 % SZS output start Refutation
% 0.43/1.03
% 0.43/1.03 (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z, X ) }.
% 0.43/1.03 (72) {G0,W3,D2,L1,V0,M1} I { r2( skol17, skol11 ) }.
% 0.43/1.03 (73) {G0,W3,D2,L1,V0,M1} I { id( skol24, skol11 ) }.
% 0.43/1.03 (74) {G0,W2,D2,L1,V0,M1} I { r1( skol24 ) }.
% 0.43/1.03 (144) {G1,W5,D2,L2,V1,M1} R(69,72) { ! r1( X ), ! id( X, skol11 ) }.
% 0.43/1.03 (215) {G2,W0,D0,L0,V0,M0} R(144,73);r(74) { }.
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 % SZS output end Refutation
% 0.43/1.03 found a proof!
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Unprocessed initial clauses:
% 0.43/1.03
% 0.43/1.03 (217) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), ! r1( X ) }.
% 0.43/1.03 (218) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.43/1.03 (219) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), id( Y, X ) }.
% 0.43/1.03 (220) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 0.43/1.03 (221) {G0,W8,D2,L3,V2,M3} { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.43/1.03 (222) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.43/1.03 (223) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X
% 0.43/1.03 ) ) }.
% 0.43/1.03 (224) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.43/1.03 (225) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.43/1.03 (226) {G0,W10,D2,L3,V3,M3} { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z )
% 0.43/1.03 }.
% 0.43/1.03 (227) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y
% 0.43/1.03 , Z ) }.
% 0.43/1.03 (228) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z,
% 0.43/1.03 skol3( X, Y ) ) }.
% 0.43/1.03 (229) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.43/1.03 (230) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.43/1.03 (231) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y,
% 0.43/1.03 Z, T ) }.
% 0.43/1.03 (232) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y
% 0.43/1.03 , Z ) }.
% 0.43/1.03 (233) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z,
% 0.43/1.03 skol4( X, Y ) ) }.
% 0.43/1.03 (234) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.43/1.03 (235) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.43/1.03 (236) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y,
% 0.43/1.03 Z, T ) }.
% 0.43/1.03 (237) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 0.43/1.03 (238) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 0.43/1.03 (239) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.43/1.03 (240) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 0.43/1.03 (241) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 0.43/1.03 (242) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.43/1.03 (243) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.43/1.03 (244) {G0,W6,D2,L2,V2,M2} { id( X, Y ), alpha5( X, Y ) }.
% 0.43/1.03 (245) {G0,W7,D2,L3,V2,M3} { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.43/1.03 (246) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z
% 0.43/1.03 ) }.
% 0.43/1.03 (247) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T
% 0.43/1.03 ) }.
% 0.43/1.03 (248) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X
% 0.43/1.03 , Z ) }.
% 0.43/1.03 (249) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y
% 0.43/1.03 , T ) }.
% 0.43/1.03 (250) {G0,W8,D2,L2,V4,M2} { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.43/1.03 (251) {G0,W11,D2,L3,V4,M3} { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T )
% 0.43/1.03 }.
% 0.43/1.03 (252) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.43/1.03 T, U, W ), r3( X, Z, U ) }.
% 0.43/1.03 (253) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.43/1.03 T, U, W ), r3( Y, T, W ) }.
% 0.43/1.03 (254) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.43/1.03 r3( X, Z, U ) }.
% 0.43/1.03 (255) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.43/1.03 r3( Y, T, W ) }.
% 0.43/1.03 (256) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.43/1.03 (257) {G0,W15,D2,L3,V6,M3} { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z
% 0.43/1.03 , T, U, W ) }.
% 0.43/1.03 (258) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.43/1.03 T, U, W ), r4( X, Z, U ) }.
% 0.43/1.03 (259) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.43/1.03 T, U, W ), r4( Y, T, W ) }.
% 0.43/1.03 (260) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.43/1.03 r4( X, Z, U ) }.
% 0.43/1.03 (261) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.43/1.03 r4( Y, T, W ) }.
% 0.43/1.03 (262) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.43/1.03 (263) {G0,W15,D2,L3,V6,M3} { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z
% 0.43/1.03 , T, U, W ) }.
% 0.43/1.03 (264) {G0,W7,D3,L1,V2,M1} { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 0.43/1.03 (265) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 0.43/1.03 (266) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 0.43/1.03 (267) {G0,W7,D3,L1,V2,M1} { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 0.43/1.03 (268) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol22( X, Y ) ) }.
% 0.43/1.03 (269) {G0,W7,D3,L1,V2,M1} { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 0.43/1.03 (270) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 0.43/1.03 (271) {G0,W8,D3,L1,V2,M1} { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 0.43/1.03 (272) {G0,W8,D3,L1,V2,M1} { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 0.43/1.03 (273) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol23( X, Y ) ) }.
% 0.43/1.03 (274) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id
% 0.43/1.03 ( X, Y ) }.
% 0.43/1.03 (275) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 0.43/1.03 (276) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 0.43/1.03 (277) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 0.43/1.03 (278) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 0.43/1.03 (279) {G0,W5,D3,L1,V1,M1} { id( skol8( Y ), skol15( Y ) ) }.
% 0.43/1.03 (280) {G0,W3,D3,L1,V1,M1} { r1( skol20( Y ) ) }.
% 0.43/1.03 (281) {G0,W6,D3,L1,V1,M1} { r4( X, skol20( X ), skol8( X ) ) }.
% 0.43/1.03 (282) {G0,W7,D3,L2,V2,M2} { alpha9( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.43/1.03 (283) {G0,W6,D3,L2,V1,M2} { alpha9( X ), id( X, skol9( X ) ) }.
% 0.43/1.03 (284) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.43/1.03 (285) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.43/1.03 (286) {G0,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.43/1.03 (287) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.43/1.03 (288) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 0.43/1.03 (289) {G0,W3,D2,L1,V0,M1} { r2( skol21, skol17 ) }.
% 0.43/1.03 (290) {G0,W3,D2,L1,V0,M1} { r2( skol17, skol11 ) }.
% 0.43/1.03 (291) {G0,W3,D2,L1,V0,M1} { id( skol24, skol11 ) }.
% 0.43/1.03 (292) {G0,W2,D2,L1,V0,M1} { r1( skol24 ) }.
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Total Proof:
% 0.43/1.03
% 0.43/1.03 subsumption: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z
% 0.43/1.03 , X ) }.
% 0.43/1.03 parent0: (287) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X )
% 0.43/1.03 }.
% 0.43/1.03 substitution0:
% 0.43/1.03 X := X
% 0.43/1.03 Y := Y
% 0.43/1.03 Z := Z
% 0.43/1.03 end
% 0.43/1.03 permutation0:
% 0.43/1.03 0 ==> 1
% 0.43/1.03 1 ==> 0
% 0.43/1.03 2 ==> 2
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 subsumption: (72) {G0,W3,D2,L1,V0,M1} I { r2( skol17, skol11 ) }.
% 0.43/1.03 parent0: (290) {G0,W3,D2,L1,V0,M1} { r2( skol17, skol11 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 end
% 0.43/1.03 permutation0:
% 0.43/1.03 0 ==> 0
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 subsumption: (73) {G0,W3,D2,L1,V0,M1} I { id( skol24, skol11 ) }.
% 0.43/1.03 parent0: (291) {G0,W3,D2,L1,V0,M1} { id( skol24, skol11 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 end
% 0.43/1.03 permutation0:
% 0.43/1.03 0 ==> 0
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 subsumption: (74) {G0,W2,D2,L1,V0,M1} I { r1( skol24 ) }.
% 0.43/1.03 parent0: (292) {G0,W2,D2,L1,V0,M1} { r1( skol24 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 end
% 0.43/1.03 permutation0:
% 0.43/1.03 0 ==> 0
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 resolution: (333) {G1,W5,D2,L2,V1,M2} { ! r1( X ), ! id( X, skol11 ) }.
% 0.43/1.03 parent0[2]: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z,
% 0.43/1.03 X ) }.
% 0.43/1.03 parent1[0]: (72) {G0,W3,D2,L1,V0,M1} I { r2( skol17, skol11 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 X := skol11
% 0.43/1.03 Y := X
% 0.43/1.03 Z := skol17
% 0.43/1.03 end
% 0.43/1.03 substitution1:
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 subsumption: (144) {G1,W5,D2,L2,V1,M1} R(69,72) { ! r1( X ), ! id( X,
% 0.43/1.03 skol11 ) }.
% 0.43/1.03 parent0: (333) {G1,W5,D2,L2,V1,M2} { ! r1( X ), ! id( X, skol11 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 X := X
% 0.43/1.03 end
% 0.43/1.03 permutation0:
% 0.43/1.03 0 ==> 0
% 0.43/1.03 1 ==> 1
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 resolution: (334) {G1,W2,D2,L1,V0,M1} { ! r1( skol24 ) }.
% 0.43/1.03 parent0[1]: (144) {G1,W5,D2,L2,V1,M1} R(69,72) { ! r1( X ), ! id( X, skol11
% 0.43/1.03 ) }.
% 0.43/1.03 parent1[0]: (73) {G0,W3,D2,L1,V0,M1} I { id( skol24, skol11 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 X := skol24
% 0.43/1.03 end
% 0.43/1.03 substitution1:
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 resolution: (335) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.03 parent0[0]: (334) {G1,W2,D2,L1,V0,M1} { ! r1( skol24 ) }.
% 0.43/1.03 parent1[0]: (74) {G0,W2,D2,L1,V0,M1} I { r1( skol24 ) }.
% 0.43/1.03 substitution0:
% 0.43/1.03 end
% 0.43/1.03 substitution1:
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 subsumption: (215) {G2,W0,D0,L0,V0,M0} R(144,73);r(74) { }.
% 0.43/1.03 parent0: (335) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.03 substitution0:
% 0.43/1.03 end
% 0.43/1.03 permutation0:
% 0.43/1.03 end
% 0.43/1.03
% 0.43/1.03 Proof check complete!
% 0.43/1.03
% 0.43/1.03 Memory use:
% 0.43/1.03
% 0.43/1.03 space for terms: 3261
% 0.43/1.03 space for clauses: 12298
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 clauses generated: 339
% 0.43/1.03 clauses kept: 216
% 0.43/1.03 clauses selected: 106
% 0.43/1.03 clauses deleted: 2
% 0.43/1.03 clauses inuse deleted: 0
% 0.43/1.03
% 0.43/1.03 subsentry: 422
% 0.43/1.03 literals s-matched: 273
% 0.43/1.03 literals matched: 273
% 0.43/1.03 full subsumption: 50
% 0.43/1.03
% 0.43/1.03 checksum: 1702365613
% 0.43/1.03
% 0.43/1.03
% 0.43/1.03 Bliksem ended
%------------------------------------------------------------------------------