%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN073+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 16:19:14 EDT 2022
% Result : Theorem 2.15s 2.50s
% Output : Refutation 2.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : NUN073+1 : TPTP v8.1.0. Released v7.3.0.
% 0.14/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Thu Jun 2 07:39:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.55/1.95 *** allocated 10000 integers for termspace/termends
% 1.55/1.95 *** allocated 10000 integers for clauses
% 1.55/1.95 *** allocated 10000 integers for justifications
% 1.55/1.95 Bliksem 1.12
% 1.55/1.95
% 1.55/1.95
% 1.55/1.95 Automatic Strategy Selection
% 1.55/1.95
% 1.55/1.95
% 1.55/1.95 Clauses:
% 1.55/1.95
% 1.55/1.95 { alpha1( skol1, X ), ! r1( X ) }.
% 1.55/1.95 { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 1.55/1.95 { ! alpha1( X, Y ), id( Y, X ) }.
% 1.55/1.95 { ! alpha1( X, Y ), r1( Y ) }.
% 1.55/1.95 { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 1.55/1.95 { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 1.55/1.95 { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X ) ) }.
% 1.55/1.95 { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 1.55/1.95 { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 1.55/1.95 { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z ) }.
% 1.55/1.95 { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y, Z ) }.
% 1.55/1.95 { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z, skol3( X, Y ) ) }.
% 1.55/1.95 { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 1.55/1.95 { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 1.55/1.95 { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 1.55/1.95 { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y, Z ) }.
% 1.55/1.95 { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z, skol4( X, Y ) ) }.
% 1.55/1.95 { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 1.55/1.95 { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 1.55/1.95 { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y, Z, T ) }.
% 1.55/1.95 { id( X, X ) }.
% 1.55/1.95 { ! id( X, Y ), id( Y, X ) }.
% 1.55/1.95 { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 1.55/1.95 { alpha5( X, Y ), r1( X ) }.
% 1.55/1.95 { alpha5( X, Y ), r1( Y ) }.
% 1.55/1.95 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 1.55/1.95 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 1.55/1.95 { id( X, Y ), alpha5( X, Y ) }.
% 1.55/1.95 { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 1.55/1.95 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z ) }.
% 1.55/1.95 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T ) }.
% 1.55/1.95 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X, Z ) }.
% 1.55/1.95 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y, T ) }.
% 1.55/1.95 { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 1.55/1.95 { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T ) }.
% 1.55/1.95 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( X, Z, U ) }.
% 1.55/1.95 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( Y, T, W ) }.
% 1.55/1.95 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( X, Z, U ) }.
% 1.55/1.95 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( Y, T, W ) }.
% 1.55/1.95 { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 1.55/1.95 { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z, T, U, W ) }.
% 1.55/1.95 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( X, Z, U ) }.
% 1.55/1.95 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( Y, T, W ) }.
% 1.55/1.95 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( X, Z, U ) }.
% 1.55/1.95 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( Y, T, W ) }.
% 1.55/1.95 { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 1.55/1.95 { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z, T, U, W ) }.
% 1.55/1.95 { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 1.55/1.95 { r2( Y, skol18( Z, Y ) ) }.
% 1.55/1.95 { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 1.55/1.95 { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 1.55/1.95 { r3( X, Y, skol22( X, Y ) ) }.
% 1.55/1.95 { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 1.55/1.95 { r2( Y, skol19( Z, Y ) ) }.
% 1.55/1.95 { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 1.55/1.95 { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 1.55/1.95 { r4( X, Y, skol23( X, Y ) ) }.
% 1.55/1.95 { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id( X, Y ) }.
% 1.55/1.95 { id( skol7( X ), X ) }.
% 1.55/1.95 { r1( skol14( Y ) ) }.
% 1.55/1.95 { r3( X, skol14( X ), skol7( X ) ) }.
% 1.55/1.95 { r1( skol15( Z ) ) }.
% 1.55/1.95 { id( skol8( Y ), skol15( Y ) ) }.
% 1.55/1.95 { r1( skol20( Y ) ) }.
% 1.55/1.95 { r4( X, skol20( X ), skol8( X ) ) }.
% 1.55/1.95 { alpha9( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 1.55/1.95 { alpha9( X ), id( X, skol9( X ) ) }.
% 1.55/1.95 { ! alpha9( X ), r1( skol10( Y ) ) }.
% 1.55/1.95 { ! alpha9( X ), id( X, skol10( X ) ) }.
% 1.55/1.95 { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 1.55/1.95 { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 1.55/1.95 { r1( skol21 ) }.
% 1.55/1.95 { r2( skol21, skol17 ) }.
% 1.55/1.95 { id( skol17, skol11 ) }.
% 1.55/1.95 { r1( skol25 ) }.
% 1.55/1.95 { r2( skol25, skol24 ) }.
% 1.55/1.95 { r2( skol24, skol11 ) }.
% 1.55/1.95
% 1.55/1.95 percentage equality = 0.000000, percentage horn = 0.776316
% 1.55/1.95 This a non-horn, non-equality problem
% 1.55/1.95
% 1.55/1.95
% 1.55/1.95 Options Used:
% 1.55/1.95
% 1.55/1.95 useres = 1
% 1.55/1.95 useparamod = 0
% 1.55/1.95 useeqrefl = 0
% 1.55/1.95 useeqfact = 0
% 1.55/1.95 usefactor = 1
% 1.55/1.95 usesimpsplitting = 0
% 1.55/1.95 usesimpdemod = 0
% 1.55/1.95 usesimpres = 3
% 1.55/1.95
% 1.55/1.95 resimpinuse = 1000
% 1.55/1.95 resimpclauses = 20000
% 1.55/1.95 substype = standard
% 1.55/1.95 backwardsubs = 1
% 1.55/1.95 selectoldest = 5
% 1.55/1.95
% 1.55/1.95 litorderings [0] = split
% 1.55/1.95 litorderings [1] = liftord
% 1.55/1.95
% 1.55/1.95 termordering = none
% 1.55/1.95
% 1.55/1.95 litapriori = 1
% 1.55/1.95 termapriori = 0
% 1.55/1.95 litaposteriori = 0
% 2.15/2.50 termaposteriori = 0
% 2.15/2.50 demodaposteriori = 0
% 2.15/2.50 ordereqreflfact = 0
% 2.15/2.50
% 2.15/2.50 litselect = none
% 2.15/2.50
% 2.15/2.50 maxweight = 15
% 2.15/2.50 maxdepth = 30000
% 2.15/2.50 maxlength = 115
% 2.15/2.50 maxnrvars = 195
% 2.15/2.50 excuselevel = 1
% 2.15/2.50 increasemaxweight = 1
% 2.15/2.50
% 2.15/2.50 maxselected = 10000000
% 2.15/2.50 maxnrclauses = 10000000
% 2.15/2.50
% 2.15/2.50 showgenerated = 0
% 2.15/2.50 showkept = 0
% 2.15/2.50 showselected = 0
% 2.15/2.50 showdeleted = 0
% 2.15/2.50 showresimp = 1
% 2.15/2.50 showstatus = 2000
% 2.15/2.50
% 2.15/2.50 prologoutput = 0
% 2.15/2.50 nrgoals = 5000000
% 2.15/2.50 totalproof = 1
% 2.15/2.50
% 2.15/2.50 Symbols occurring in the translation:
% 2.15/2.50
% 2.15/2.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.15/2.50 . [1, 2] (w:1, o:95, a:1, s:1, b:0),
% 2.15/2.50 ! [4, 1] (w:0, o:79, a:1, s:1, b:0),
% 2.15/2.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.15/2.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.15/2.50 id [37, 2] (w:1, o:119, a:1, s:1, b:0),
% 2.15/2.50 r1 [38, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.15/2.50 r2 [42, 2] (w:1, o:120, a:1, s:1, b:0),
% 2.15/2.50 r3 [47, 3] (w:1, o:133, a:1, s:1, b:0),
% 2.15/2.50 r4 [52, 3] (w:1, o:134, a:1, s:1, b:0),
% 2.15/2.50 alpha1 [107, 2] (w:1, o:121, a:1, s:1, b:0),
% 2.15/2.50 alpha2 [108, 3] (w:1, o:135, a:1, s:1, b:0),
% 2.15/2.50 alpha3 [109, 4] (w:1, o:136, a:1, s:1, b:0),
% 2.15/2.50 alpha4 [110, 4] (w:1, o:137, a:1, s:1, b:0),
% 2.15/2.50 alpha5 [111, 2] (w:1, o:122, a:1, s:1, b:0),
% 2.15/2.50 alpha6 [112, 4] (w:1, o:138, a:1, s:1, b:0),
% 2.15/2.50 alpha7 [113, 6] (w:1, o:139, a:1, s:1, b:0),
% 2.15/2.50 alpha8 [114, 6] (w:1, o:140, a:1, s:1, b:0),
% 2.15/2.50 alpha9 [115, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.15/2.50 skol1 [116, 0] (w:1, o:73, a:1, s:1, b:0),
% 2.15/2.50 skol2 [117, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.15/2.50 skol3 [118, 2] (w:1, o:125, a:1, s:1, b:0),
% 2.15/2.50 skol4 [119, 2] (w:1, o:126, a:1, s:1, b:0),
% 2.15/2.50 skol5 [120, 2] (w:1, o:127, a:1, s:1, b:0),
% 2.15/2.50 skol6 [121, 2] (w:1, o:128, a:1, s:1, b:0),
% 2.15/2.50 skol7 [122, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.15/2.50 skol8 [123, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.15/2.50 skol9 [124, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.15/2.50 skol10 [125, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.15/2.50 skol11 [126, 0] (w:1, o:74, a:1, s:1, b:0),
% 2.15/2.50 skol12 [127, 2] (w:1, o:129, a:1, s:1, b:0),
% 2.15/2.50 skol13 [128, 2] (w:1, o:130, a:1, s:1, b:0),
% 2.15/2.50 skol14 [129, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.15/2.50 skol15 [130, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.15/2.50 skol16 [131, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.15/2.50 skol17 [132, 0] (w:1, o:75, a:1, s:1, b:0),
% 2.15/2.50 skol18 [133, 2] (w:1, o:131, a:1, s:1, b:0),
% 2.15/2.50 skol19 [134, 2] (w:1, o:132, a:1, s:1, b:0),
% 2.15/2.50 skol20 [135, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.15/2.50 skol21 [136, 0] (w:1, o:76, a:1, s:1, b:0),
% 2.15/2.50 skol22 [137, 2] (w:1, o:123, a:1, s:1, b:0),
% 2.15/2.50 skol23 [138, 2] (w:1, o:124, a:1, s:1, b:0),
% 2.15/2.50 skol24 [139, 0] (w:1, o:77, a:1, s:1, b:0),
% 2.15/2.50 skol25 [140, 0] (w:1, o:78, a:1, s:1, b:0).
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 Starting Search:
% 2.15/2.50
% 2.15/2.50 *** allocated 15000 integers for clauses
% 2.15/2.50 *** allocated 22500 integers for clauses
% 2.15/2.50 *** allocated 33750 integers for clauses
% 2.15/2.50 *** allocated 50625 integers for clauses
% 2.15/2.50 *** allocated 15000 integers for termspace/termends
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 75937 integers for clauses
% 2.15/2.50 *** allocated 22500 integers for termspace/termends
% 2.15/2.50 *** allocated 113905 integers for clauses
% 2.15/2.50
% 2.15/2.50 Intermediate Status:
% 2.15/2.50 Generated: 4871
% 2.15/2.50 Kept: 2034
% 2.15/2.50 Inuse: 459
% 2.15/2.50 Deleted: 85
% 2.15/2.50 Deletedinuse: 68
% 2.15/2.50
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 33750 integers for termspace/termends
% 2.15/2.50 *** allocated 170857 integers for clauses
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 50625 integers for termspace/termends
% 2.15/2.50 *** allocated 256285 integers for clauses
% 2.15/2.50
% 2.15/2.50 Intermediate Status:
% 2.15/2.50 Generated: 10897
% 2.15/2.50 Kept: 4037
% 2.15/2.50 Inuse: 575
% 2.15/2.50 Deleted: 93
% 2.15/2.50 Deletedinuse: 76
% 2.15/2.50
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 75937 integers for termspace/termends
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 384427 integers for clauses
% 2.15/2.50
% 2.15/2.50 Intermediate Status:
% 2.15/2.50 Generated: 19476
% 2.15/2.50 Kept: 6048
% 2.15/2.50 Inuse: 764
% 2.15/2.50 Deleted: 167
% 2.15/2.50 Deletedinuse: 125
% 2.15/2.50
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 113905 integers for termspace/termends
% 2.15/2.50
% 2.15/2.50 Intermediate Status:
% 2.15/2.50 Generated: 31498
% 2.15/2.50 Kept: 8056
% 2.15/2.50 Inuse: 1000
% 2.15/2.50 Deleted: 278
% 2.15/2.50 Deletedinuse: 171
% 2.15/2.50
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 576640 integers for clauses
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 Intermediate Status:
% 2.15/2.50 Generated: 44592
% 2.15/2.50 Kept: 10069
% 2.15/2.50 Inuse: 1296
% 2.15/2.50 Deleted: 395
% 2.15/2.50 Deletedinuse: 231
% 2.15/2.50
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50 *** allocated 170857 integers for termspace/termends
% 2.15/2.50 Resimplifying inuse:
% 2.15/2.50 Done
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 Bliksems!, er is een bewijs:
% 2.15/2.50 % SZS status Theorem
% 2.15/2.50 % SZS output start Refutation
% 2.15/2.50
% 2.15/2.50 (22) {G0,W9,D2,L3,V3,M3} I { id( X, Z ), ! id( Y, Z ), ! id( X, Y ) }.
% 2.15/2.50 (23) {G0,W5,D2,L2,V2,M1} I { r1( X ), alpha5( X, Y ) }.
% 2.15/2.50 (26) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( Y ), ! alpha5( X, Y ) }.
% 2.15/2.50 (56) {G0,W12,D2,L4,V4,M2} I { ! id( T, Z ), id( X, Y ), ! r2( X, T ), ! r2
% 2.15/2.50 ( Y, Z ) }.
% 2.15/2.50 (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 2.15/2.50 (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z, X ) }.
% 2.15/2.50 (70) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 2.15/2.50 (71) {G0,W3,D2,L1,V0,M1} I { r2( skol21, skol17 ) }.
% 2.15/2.50 (72) {G0,W3,D2,L1,V0,M1} I { id( skol17, skol11 ) }.
% 2.15/2.50 (74) {G0,W3,D2,L1,V0,M1} I { r2( skol25, skol24 ) }.
% 2.15/2.50 (75) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol11 ) }.
% 2.15/2.50 (201) {G1,W7,D3,L2,V2,M2} R(22,57) { ! id( X, Y ), id( skol7( X ), Y ) }.
% 2.15/2.50 (235) {G1,W7,D2,L3,V2,M1} R(26,23) { ! r1( Y ), r1( X ), ! id( X, Y ) }.
% 2.15/2.50 (368) {G2,W5,D3,L2,V1,M2} R(235,57) { r1( skol7( X ) ), ! r1( X ) }.
% 2.15/2.50 (384) {G3,W3,D3,L1,V0,M1} R(368,70) { r1( skol7( skol21 ) ) }.
% 2.15/2.50 (535) {G1,W9,D2,L3,V2,M1} R(56,71) { ! id( skol17, X ), id( skol21, Y ), !
% 2.15/2.50 r2( Y, X ) }.
% 2.15/2.50 (562) {G1,W5,D2,L2,V1,M1} R(69,74) { ! r1( X ), ! id( X, skol24 ) }.
% 2.15/2.50 (4158) {G2,W6,D3,L2,V1,M1} R(201,562) { ! r1( skol7( X ) ), ! id( X, skol24
% 2.15/2.50 ) }.
% 2.15/2.50 (11490) {G2,W3,D2,L1,V0,M1} R(535,75);r(72) { id( skol21, skol24 ) }.
% 2.15/2.50 (11497) {G4,W0,D0,L0,V0,M0} R(11490,4158);r(384) { }.
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 % SZS output end Refutation
% 2.15/2.50 found a proof!
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 Unprocessed initial clauses:
% 2.15/2.50
% 2.15/2.50 (11499) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), ! r1( X ) }.
% 2.15/2.50 (11500) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 2.15/2.50 (11501) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), id( Y, X ) }.
% 2.15/2.50 (11502) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 2.15/2.50 (11503) {G0,W8,D2,L3,V2,M3} { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 2.15/2.50 (11504) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 2.15/2.50 (11505) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! id( Y, skol2(
% 2.15/2.50 X ) ) }.
% 2.15/2.50 (11506) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 2.15/2.50 (11507) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 2.15/2.50 (11508) {G0,W10,D2,L3,V3,M3} { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z
% 2.15/2.50 ) }.
% 2.15/2.50 (11509) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X,
% 2.15/2.50 Y, Z ) }.
% 2.15/2.50 (11510) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z,
% 2.15/2.50 skol3( X, Y ) ) }.
% 2.15/2.50 (11511) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 2.15/2.50 (11512) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 2.15/2.50 (11513) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y
% 2.15/2.50 , Z, T ) }.
% 2.15/2.50 (11514) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X,
% 2.15/2.50 Y, Z ) }.
% 2.15/2.50 (11515) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z,
% 2.15/2.50 skol4( X, Y ) ) }.
% 2.15/2.50 (11516) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 2.15/2.50 (11517) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 2.15/2.50 (11518) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y
% 2.15/2.50 , Z, T ) }.
% 2.15/2.50 (11519) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 2.15/2.50 (11520) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 2.15/2.50 (11521) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 2.15/2.50 (11522) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 2.15/2.50 (11523) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 2.15/2.50 (11524) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X )
% 2.15/2.50 }.
% 2.15/2.50 (11525) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y )
% 2.15/2.50 }.
% 2.15/2.50 (11526) {G0,W6,D2,L2,V2,M2} { id( X, Y ), alpha5( X, Y ) }.
% 2.15/2.50 (11527) {G0,W7,D2,L3,V2,M3} { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 2.15/2.50 (11528) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X,
% 2.15/2.50 Z ) }.
% 2.15/2.50 (11529) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y,
% 2.15/2.50 T ) }.
% 2.15/2.50 (11530) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2
% 2.15/2.50 ( X, Z ) }.
% 2.15/2.50 (11531) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2
% 2.15/2.50 ( Y, T ) }.
% 2.15/2.50 (11532) {G0,W8,D2,L2,V4,M2} { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 2.15/2.50 (11533) {G0,W11,D2,L3,V4,M3} { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T
% 2.15/2.50 ) }.
% 2.15/2.50 (11534) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z
% 2.15/2.50 , T, U, W ), r3( X, Z, U ) }.
% 2.15/2.50 (11535) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z
% 2.15/2.50 , T, U, W ), r3( Y, T, W ) }.
% 2.15/2.50 (11536) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W )
% 2.15/2.50 , ! r3( X, Z, U ) }.
% 2.15/2.50 (11537) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W )
% 2.15/2.50 , ! r3( Y, T, W ) }.
% 2.15/2.50 (11538) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 2.15/2.50 (11539) {G0,W15,D2,L3,V6,M3} { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y
% 2.15/2.50 , Z, T, U, W ) }.
% 2.15/2.50 (11540) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z
% 2.15/2.50 , T, U, W ), r4( X, Z, U ) }.
% 2.15/2.50 (11541) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z
% 2.15/2.50 , T, U, W ), r4( Y, T, W ) }.
% 2.15/2.50 (11542) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W )
% 2.15/2.50 , ! r4( X, Z, U ) }.
% 2.15/2.50 (11543) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W )
% 2.15/2.50 , ! r4( Y, T, W ) }.
% 2.15/2.50 (11544) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 2.15/2.50 (11545) {G0,W15,D2,L3,V6,M3} { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y
% 2.15/2.50 , Z, T, U, W ) }.
% 2.15/2.50 (11546) {G0,W7,D3,L1,V2,M1} { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 2.15/2.50 (11547) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 2.15/2.50 (11548) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 2.15/2.50 (11549) {G0,W7,D3,L1,V2,M1} { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 2.15/2.50 (11550) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol22( X, Y ) ) }.
% 2.15/2.50 (11551) {G0,W7,D3,L1,V2,M1} { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 2.15/2.50 (11552) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 2.15/2.50 (11553) {G0,W8,D3,L1,V2,M1} { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 2.15/2.50 (11554) {G0,W8,D3,L1,V2,M1} { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 2.15/2.50 (11555) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol23( X, Y ) ) }.
% 2.15/2.50 (11556) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ),
% 2.15/2.50 id( X, Y ) }.
% 2.15/2.50 (11557) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 2.15/2.50 (11558) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 2.15/2.50 (11559) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 2.15/2.50 (11560) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 2.15/2.50 (11561) {G0,W5,D3,L1,V1,M1} { id( skol8( Y ), skol15( Y ) ) }.
% 2.15/2.50 (11562) {G0,W3,D3,L1,V1,M1} { r1( skol20( Y ) ) }.
% 2.15/2.50 (11563) {G0,W6,D3,L1,V1,M1} { r4( X, skol20( X ), skol8( X ) ) }.
% 2.15/2.50 (11564) {G0,W7,D3,L2,V2,M2} { alpha9( X ), r2( skol16( Y ), skol9( Y ) )
% 2.15/2.50 }.
% 2.15/2.50 (11565) {G0,W6,D3,L2,V1,M2} { alpha9( X ), id( X, skol9( X ) ) }.
% 2.15/2.50 (11566) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), r1( skol10( Y ) ) }.
% 2.15/2.50 (11567) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), id( X, skol10( X ) ) }.
% 2.15/2.50 (11568) {G0,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 2.15/2.50 (11569) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 2.15/2.50 (11570) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 2.15/2.50 (11571) {G0,W3,D2,L1,V0,M1} { r2( skol21, skol17 ) }.
% 2.15/2.50 (11572) {G0,W3,D2,L1,V0,M1} { id( skol17, skol11 ) }.
% 2.15/2.50 (11573) {G0,W2,D2,L1,V0,M1} { r1( skol25 ) }.
% 2.15/2.50 (11574) {G0,W3,D2,L1,V0,M1} { r2( skol25, skol24 ) }.
% 2.15/2.50 (11575) {G0,W3,D2,L1,V0,M1} { r2( skol24, skol11 ) }.
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 Total Proof:
% 2.15/2.50
% 2.15/2.50 subsumption: (22) {G0,W9,D2,L3,V3,M3} I { id( X, Z ), ! id( Y, Z ), ! id( X
% 2.15/2.50 , Y ) }.
% 2.15/2.50 parent0: (11521) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y,
% 2.15/2.50 Z ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 Z := Z
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 2
% 2.15/2.50 1 ==> 0
% 2.15/2.50 2 ==> 1
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (23) {G0,W5,D2,L2,V2,M1} I { r1( X ), alpha5( X, Y ) }.
% 2.15/2.50 parent0: (11522) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 1
% 2.15/2.50 1 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (26) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( Y ), ! alpha5
% 2.15/2.50 ( X, Y ) }.
% 2.15/2.50 parent0: (11525) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), !
% 2.15/2.50 r1( Y ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 2
% 2.15/2.50 1 ==> 0
% 2.15/2.50 2 ==> 1
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (56) {G0,W12,D2,L4,V4,M2} I { ! id( T, Z ), id( X, Y ), ! r2(
% 2.15/2.50 X, T ), ! r2( Y, Z ) }.
% 2.15/2.50 parent0: (11556) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2(
% 2.15/2.50 Y, Z ), id( X, Y ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 Z := Z
% 2.15/2.50 T := T
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 1 ==> 2
% 2.15/2.50 2 ==> 3
% 2.15/2.50 3 ==> 1
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 2.15/2.50 parent0: (11557) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z
% 2.15/2.50 , X ) }.
% 2.15/2.50 parent0: (11569) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X
% 2.15/2.50 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 Z := Z
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 1
% 2.15/2.50 1 ==> 0
% 2.15/2.50 2 ==> 2
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (70) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 2.15/2.50 parent0: (11570) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (71) {G0,W3,D2,L1,V0,M1} I { r2( skol21, skol17 ) }.
% 2.15/2.50 parent0: (11571) {G0,W3,D2,L1,V0,M1} { r2( skol21, skol17 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (72) {G0,W3,D2,L1,V0,M1} I { id( skol17, skol11 ) }.
% 2.15/2.50 parent0: (11572) {G0,W3,D2,L1,V0,M1} { id( skol17, skol11 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (74) {G0,W3,D2,L1,V0,M1} I { r2( skol25, skol24 ) }.
% 2.15/2.50 parent0: (11574) {G0,W3,D2,L1,V0,M1} { r2( skol25, skol24 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (75) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol11 ) }.
% 2.15/2.50 parent0: (11575) {G0,W3,D2,L1,V0,M1} { r2( skol24, skol11 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11660) {G1,W7,D3,L2,V2,M2} { id( skol7( X ), Y ), ! id( X, Y
% 2.15/2.50 ) }.
% 2.15/2.50 parent0[2]: (22) {G0,W9,D2,L3,V3,M3} I { id( X, Z ), ! id( Y, Z ), ! id( X
% 2.15/2.50 , Y ) }.
% 2.15/2.50 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol7( X )
% 2.15/2.50 Y := X
% 2.15/2.50 Z := Y
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 X := X
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (201) {G1,W7,D3,L2,V2,M2} R(22,57) { ! id( X, Y ), id( skol7(
% 2.15/2.50 X ), Y ) }.
% 2.15/2.50 parent0: (11660) {G1,W7,D3,L2,V2,M2} { id( skol7( X ), Y ), ! id( X, Y )
% 2.15/2.50 }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 1
% 2.15/2.50 1 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11662) {G1,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), r1( X )
% 2.15/2.50 }.
% 2.15/2.50 parent0[2]: (26) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( Y ), ! alpha5
% 2.15/2.50 ( X, Y ) }.
% 2.15/2.50 parent1[1]: (23) {G0,W5,D2,L2,V2,M1} I { r1( X ), alpha5( X, Y ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (235) {G1,W7,D2,L3,V2,M1} R(26,23) { ! r1( Y ), r1( X ), ! id
% 2.15/2.50 ( X, Y ) }.
% 2.15/2.50 parent0: (11662) {G1,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), r1( X )
% 2.15/2.50 }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 2
% 2.15/2.50 1 ==> 0
% 2.15/2.50 2 ==> 1
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11663) {G1,W5,D3,L2,V1,M2} { ! r1( X ), r1( skol7( X ) ) }.
% 2.15/2.50 parent0[2]: (235) {G1,W7,D2,L3,V2,M1} R(26,23) { ! r1( Y ), r1( X ), ! id(
% 2.15/2.50 X, Y ) }.
% 2.15/2.50 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol7( X )
% 2.15/2.50 Y := X
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 X := X
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (368) {G2,W5,D3,L2,V1,M2} R(235,57) { r1( skol7( X ) ), ! r1(
% 2.15/2.50 X ) }.
% 2.15/2.50 parent0: (11663) {G1,W5,D3,L2,V1,M2} { ! r1( X ), r1( skol7( X ) ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 1
% 2.15/2.50 1 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11664) {G1,W3,D3,L1,V0,M1} { r1( skol7( skol21 ) ) }.
% 2.15/2.50 parent0[1]: (368) {G2,W5,D3,L2,V1,M2} R(235,57) { r1( skol7( X ) ), ! r1( X
% 2.15/2.50 ) }.
% 2.15/2.50 parent1[0]: (70) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol21
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (384) {G3,W3,D3,L1,V0,M1} R(368,70) { r1( skol7( skol21 ) )
% 2.15/2.50 }.
% 2.15/2.50 parent0: (11664) {G1,W3,D3,L1,V0,M1} { r1( skol7( skol21 ) ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11665) {G1,W9,D2,L3,V2,M3} { ! id( skol17, X ), id( skol21, Y
% 2.15/2.50 ), ! r2( Y, X ) }.
% 2.15/2.50 parent0[2]: (56) {G0,W12,D2,L4,V4,M2} I { ! id( T, Z ), id( X, Y ), ! r2( X
% 2.15/2.50 , T ), ! r2( Y, Z ) }.
% 2.15/2.50 parent1[0]: (71) {G0,W3,D2,L1,V0,M1} I { r2( skol21, skol17 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol21
% 2.15/2.50 Y := Y
% 2.15/2.50 Z := X
% 2.15/2.50 T := skol17
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (535) {G1,W9,D2,L3,V2,M1} R(56,71) { ! id( skol17, X ), id(
% 2.15/2.50 skol21, Y ), ! r2( Y, X ) }.
% 2.15/2.50 parent0: (11665) {G1,W9,D2,L3,V2,M3} { ! id( skol17, X ), id( skol21, Y )
% 2.15/2.50 , ! r2( Y, X ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 Y := Y
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 1 ==> 1
% 2.15/2.50 2 ==> 2
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11667) {G1,W5,D2,L2,V1,M2} { ! r1( X ), ! id( X, skol24 ) }.
% 2.15/2.50 parent0[2]: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z,
% 2.15/2.50 X ) }.
% 2.15/2.50 parent1[0]: (74) {G0,W3,D2,L1,V0,M1} I { r2( skol25, skol24 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol24
% 2.15/2.50 Y := X
% 2.15/2.50 Z := skol25
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (562) {G1,W5,D2,L2,V1,M1} R(69,74) { ! r1( X ), ! id( X,
% 2.15/2.50 skol24 ) }.
% 2.15/2.50 parent0: (11667) {G1,W5,D2,L2,V1,M2} { ! r1( X ), ! id( X, skol24 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 1 ==> 1
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11668) {G2,W6,D3,L2,V1,M2} { ! r1( skol7( X ) ), ! id( X,
% 2.15/2.50 skol24 ) }.
% 2.15/2.50 parent0[1]: (562) {G1,W5,D2,L2,V1,M1} R(69,74) { ! r1( X ), ! id( X, skol24
% 2.15/2.50 ) }.
% 2.15/2.50 parent1[1]: (201) {G1,W7,D3,L2,V2,M2} R(22,57) { ! id( X, Y ), id( skol7( X
% 2.15/2.50 ), Y ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol7( X )
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 X := X
% 2.15/2.50 Y := skol24
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (4158) {G2,W6,D3,L2,V1,M1} R(201,562) { ! r1( skol7( X ) ), !
% 2.15/2.50 id( X, skol24 ) }.
% 2.15/2.50 parent0: (11668) {G2,W6,D3,L2,V1,M2} { ! r1( skol7( X ) ), ! id( X, skol24
% 2.15/2.50 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := X
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 1 ==> 1
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11669) {G1,W6,D2,L2,V0,M2} { ! id( skol17, skol11 ), id(
% 2.15/2.50 skol21, skol24 ) }.
% 2.15/2.50 parent0[2]: (535) {G1,W9,D2,L3,V2,M1} R(56,71) { ! id( skol17, X ), id(
% 2.15/2.50 skol21, Y ), ! r2( Y, X ) }.
% 2.15/2.50 parent1[0]: (75) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol11 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol11
% 2.15/2.50 Y := skol24
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11670) {G1,W3,D2,L1,V0,M1} { id( skol21, skol24 ) }.
% 2.15/2.50 parent0[0]: (11669) {G1,W6,D2,L2,V0,M2} { ! id( skol17, skol11 ), id(
% 2.15/2.50 skol21, skol24 ) }.
% 2.15/2.50 parent1[0]: (72) {G0,W3,D2,L1,V0,M1} I { id( skol17, skol11 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (11490) {G2,W3,D2,L1,V0,M1} R(535,75);r(72) { id( skol21,
% 2.15/2.50 skol24 ) }.
% 2.15/2.50 parent0: (11670) {G1,W3,D2,L1,V0,M1} { id( skol21, skol24 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 0 ==> 0
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11671) {G3,W3,D3,L1,V0,M1} { ! r1( skol7( skol21 ) ) }.
% 2.15/2.50 parent0[1]: (4158) {G2,W6,D3,L2,V1,M1} R(201,562) { ! r1( skol7( X ) ), !
% 2.15/2.50 id( X, skol24 ) }.
% 2.15/2.50 parent1[0]: (11490) {G2,W3,D2,L1,V0,M1} R(535,75);r(72) { id( skol21,
% 2.15/2.50 skol24 ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 X := skol21
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 resolution: (11672) {G4,W0,D0,L0,V0,M0} { }.
% 2.15/2.50 parent0[0]: (11671) {G3,W3,D3,L1,V0,M1} { ! r1( skol7( skol21 ) ) }.
% 2.15/2.50 parent1[0]: (384) {G3,W3,D3,L1,V0,M1} R(368,70) { r1( skol7( skol21 ) ) }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 substitution1:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 subsumption: (11497) {G4,W0,D0,L0,V0,M0} R(11490,4158);r(384) { }.
% 2.15/2.50 parent0: (11672) {G4,W0,D0,L0,V0,M0} { }.
% 2.15/2.50 substitution0:
% 2.15/2.50 end
% 2.15/2.50 permutation0:
% 2.15/2.50 end
% 2.15/2.50
% 2.15/2.50 Proof check complete!
% 2.15/2.50
% 2.15/2.50 Memory use:
% 2.15/2.50
% 2.15/2.50 space for terms: 119036
% 2.15/2.50 space for clauses: 495597
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 clauses generated: 50962
% 2.15/2.50 clauses kept: 11498
% 2.15/2.50 clauses selected: 1462
% 2.15/2.50 clauses deleted: 471
% 2.15/2.50 clauses inuse deleted: 231
% 2.15/2.50
% 2.15/2.50 subsentry: 498853
% 2.15/2.50 literals s-matched: 157015
% 2.15/2.50 literals matched: 156671
% 2.15/2.50 full subsumption: 80725
% 2.15/2.50
% 2.15/2.50 checksum: -2068459221
% 2.15/2.50
% 2.15/2.50
% 2.15/2.50 Bliksem ended
%------------------------------------------------------------------------------