TSTP Solution File: NUN069+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 16:19:13 EDT 2022
% Result : Theorem 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 2 10:01:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09
% 0.72/1.09 { alpha1( skol1, X ), ! r1( X ) }.
% 0.72/1.09 { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.72/1.09 { ! alpha1( X, Y ), id( Y, X ) }.
% 0.72/1.09 { ! alpha1( X, Y ), r1( Y ) }.
% 0.72/1.09 { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.72/1.09 { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.72/1.09 { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X ) ) }.
% 0.72/1.09 { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.72/1.09 { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.72/1.09 { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z ) }.
% 0.72/1.09 { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y, Z ) }.
% 0.72/1.09 { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z, skol3( X, Y ) ) }.
% 0.72/1.09 { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.09 { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.72/1.09 { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.09 { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y, Z ) }.
% 0.72/1.09 { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z, skol4( X, Y ) ) }.
% 0.72/1.09 { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.09 { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.72/1.09 { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y, Z, T ) }.
% 0.72/1.09 { id( X, X ) }.
% 0.72/1.09 { ! id( X, Y ), id( Y, X ) }.
% 0.72/1.09 { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.72/1.09 { alpha5( X, Y ), r1( X ) }.
% 0.72/1.09 { alpha5( X, Y ), r1( Y ) }.
% 0.72/1.09 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.72/1.09 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.72/1.09 { id( X, Y ), alpha5( X, Y ) }.
% 0.72/1.09 { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.72/1.09 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z ) }.
% 0.72/1.09 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T ) }.
% 0.72/1.09 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X, Z ) }.
% 0.72/1.09 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y, T ) }.
% 0.72/1.09 { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.09 { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.09 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( X, Z, U ) }.
% 0.72/1.09 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( Y, T, W ) }.
% 0.72/1.09 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( X, Z, U ) }.
% 0.72/1.09 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( Y, T, W ) }.
% 0.72/1.09 { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( X, Z, U ) }.
% 0.72/1.09 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( Y, T, W ) }.
% 0.72/1.09 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( X, Z, U ) }.
% 0.72/1.09 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( Y, T, W ) }.
% 0.72/1.09 { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { id( skol11( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.09 { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.09 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.09 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.09 { r3( X, Y, skol19( X, Y ) ) }.
% 0.72/1.09 { id( skol12( X, Y ), skol6( X, Y ) ) }.
% 0.72/1.09 { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.09 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.09 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.72/1.09 { r4( X, Y, skol20( X, Y ) ) }.
% 0.72/1.09 { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id( X, Y ) }.
% 0.72/1.09 { id( skol7( X ), X ) }.
% 0.72/1.09 { r1( skol13( Y ) ) }.
% 0.72/1.09 { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.09 { r1( skol14( Z ) ) }.
% 0.72/1.09 { id( skol8( Y ), skol14( Y ) ) }.
% 0.72/1.09 { r1( skol18( Y ) ) }.
% 0.72/1.09 { r4( X, skol18( X ), skol8( X ) ) }.
% 0.72/1.09 { alpha9( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.72/1.09 { alpha9( X ), id( X, skol9( X ) ) }.
% 0.72/1.09 { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.72/1.09 { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.72/1.09 { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.72/1.09 { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.72/1.09 { ! id( X, X ), ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.000000, percentage horn = 0.760563
% 0.72/1.09 This a non-horn, non-equality problem
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 0
% 0.72/1.09 useeqrefl = 0
% 0.72/1.09 useeqfact = 0
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 0
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = standard
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = liftord
% 0.72/1.09
% 0.72/1.09 termordering = none
% 0.72/1.09
% 0.72/1.09 litapriori = 1
% 0.72/1.09 termapriori = 0
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = none
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 0
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:74, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 id [37, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.72/1.09 r1 [38, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.72/1.09 r2 [42, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.72/1.09 r3 [47, 3] (w:1, o:128, a:1, s:1, b:0),
% 0.72/1.09 r4 [52, 3] (w:1, o:129, a:1, s:1, b:0),
% 0.72/1.09 alpha1 [107, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.72/1.09 alpha2 [108, 3] (w:1, o:130, a:1, s:1, b:0),
% 0.72/1.09 alpha3 [109, 4] (w:1, o:131, a:1, s:1, b:0),
% 0.72/1.09 alpha4 [110, 4] (w:1, o:132, a:1, s:1, b:0),
% 0.72/1.09 alpha5 [111, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.72/1.09 alpha6 [112, 4] (w:1, o:133, a:1, s:1, b:0),
% 0.72/1.09 alpha7 [113, 6] (w:1, o:134, a:1, s:1, b:0),
% 0.72/1.09 alpha8 [114, 6] (w:1, o:135, a:1, s:1, b:0),
% 0.72/1.09 alpha9 [115, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.72/1.09 skol1 [116, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.72/1.09 skol2 [117, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.09 skol3 [118, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.72/1.09 skol4 [119, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.72/1.09 skol5 [120, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.72/1.09 skol6 [121, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.72/1.09 skol7 [122, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.72/1.09 skol8 [123, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.72/1.09 skol9 [124, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.72/1.09 skol10 [125, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.72/1.09 skol11 [126, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.72/1.09 skol12 [127, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.72/1.09 skol13 [128, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.09 skol14 [129, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.09 skol15 [130, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.09 skol16 [131, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.72/1.09 skol17 [132, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.72/1.09 skol18 [133, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.09 skol19 [134, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.72/1.09 skol20 [135, 2] (w:1, o:118, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Theorem
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 (1) {G0,W6,D2,L2,V1,M1} I { ! id( X, skol1 ), alpha1( skol1, X ) }.
% 0.72/1.09 (3) {G0,W5,D2,L2,V2,M1} I { r1( Y ), ! alpha1( X, Y ) }.
% 0.72/1.09 (20) {G0,W3,D2,L1,V1,M1} I { id( X, X ) }.
% 0.72/1.09 (52) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.09 (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.09 (70) {G1,W5,D2,L2,V2,M1} I;r(20) { ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09 (78) {G1,W5,D2,L2,V1,M1} R(1,3) { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.09 (79) {G2,W3,D3,L1,V0,M1} R(78,57) { r1( skol7( skol1 ) ) }.
% 0.72/1.09 (81) {G2,W2,D2,L1,V1,M1} R(52,70) { ! r1( X ) }.
% 0.72/1.09 (82) {G3,W0,D0,L0,V0,M0} R(81,79) { }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Unprocessed initial clauses:
% 0.72/1.09
% 0.72/1.09 (84) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), ! r1( X ) }.
% 0.72/1.09 (85) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.72/1.09 (86) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), id( Y, X ) }.
% 0.72/1.09 (87) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 0.72/1.09 (88) {G0,W8,D2,L3,V2,M3} { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.72/1.09 (89) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.72/1.09 (90) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X )
% 0.72/1.09 ) }.
% 0.72/1.09 (91) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.72/1.09 (92) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.72/1.09 (93) {G0,W10,D2,L3,V3,M3} { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z )
% 0.72/1.09 }.
% 0.72/1.09 (94) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y,
% 0.72/1.09 Z ) }.
% 0.72/1.09 (95) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z,
% 0.72/1.09 skol3( X, Y ) ) }.
% 0.72/1.09 (96) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.09 (97) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.72/1.09 (98) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z
% 0.72/1.09 , T ) }.
% 0.72/1.09 (99) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y,
% 0.72/1.09 Z ) }.
% 0.72/1.09 (100) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z,
% 0.72/1.09 skol4( X, Y ) ) }.
% 0.72/1.09 (101) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.09 (102) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.72/1.09 (103) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y,
% 0.72/1.09 Z, T ) }.
% 0.72/1.09 (104) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 0.72/1.09 (105) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 0.72/1.09 (106) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.72/1.09 (107) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 0.72/1.09 (108) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 0.72/1.09 (109) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.72/1.09 (110) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.72/1.09 (111) {G0,W6,D2,L2,V2,M2} { id( X, Y ), alpha5( X, Y ) }.
% 0.72/1.09 (112) {G0,W7,D2,L3,V2,M3} { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.72/1.09 (113) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z
% 0.72/1.09 ) }.
% 0.72/1.09 (114) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T
% 0.72/1.09 ) }.
% 0.72/1.09 (115) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X
% 0.72/1.09 , Z ) }.
% 0.72/1.09 (116) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y
% 0.72/1.09 , T ) }.
% 0.72/1.09 (117) {G0,W8,D2,L2,V4,M2} { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.09 (118) {G0,W11,D2,L3,V4,M3} { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T )
% 0.72/1.09 }.
% 0.72/1.09 (119) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.72/1.09 T, U, W ), r3( X, Z, U ) }.
% 0.72/1.09 (120) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.72/1.09 T, U, W ), r3( Y, T, W ) }.
% 0.72/1.09 (121) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.09 r3( X, Z, U ) }.
% 0.72/1.09 (122) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.09 r3( Y, T, W ) }.
% 0.72/1.09 (123) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.72/1.09 (124) {G0,W15,D2,L3,V6,M3} { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z
% 0.72/1.09 , T, U, W ) }.
% 0.72/1.09 (125) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.72/1.09 T, U, W ), r4( X, Z, U ) }.
% 0.72/1.09 (126) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.72/1.09 T, U, W ), r4( Y, T, W ) }.
% 0.72/1.09 (127) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.09 r4( X, Z, U ) }.
% 0.72/1.09 (128) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.09 r4( Y, T, W ) }.
% 0.72/1.09 (129) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.72/1.09 (130) {G0,W15,D2,L3,V6,M3} { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z
% 0.72/1.09 , T, U, W ) }.
% 0.72/1.09 (131) {G0,W7,D3,L1,V2,M1} { id( skol11( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.09 (132) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.09 (133) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.09 (134) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.09 (135) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.72/1.09 (136) {G0,W7,D3,L1,V2,M1} { id( skol12( X, Y ), skol6( X, Y ) ) }.
% 0.72/1.09 (137) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.09 (138) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.09 (139) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.72/1.09 (140) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.72/1.09 (141) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 (142) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 0.72/1.09 (143) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.72/1.09 (144) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.09 (145) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.72/1.09 (146) {G0,W5,D3,L1,V1,M1} { id( skol8( Y ), skol14( Y ) ) }.
% 0.72/1.09 (147) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.72/1.09 (148) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 0.72/1.09 (149) {G0,W7,D3,L2,V2,M2} { alpha9( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.72/1.09 (150) {G0,W6,D3,L2,V1,M2} { alpha9( X ), id( X, skol9( X ) ) }.
% 0.72/1.09 (151) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.72/1.09 (152) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.72/1.09 (153) {G0,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.72/1.09 (154) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.72/1.09 (155) {G0,W8,D2,L3,V2,M3} { ! id( X, X ), ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Total Proof:
% 0.72/1.09
% 0.72/1.09 subsumption: (1) {G0,W6,D2,L2,V1,M1} I { ! id( X, skol1 ), alpha1( skol1, X
% 0.72/1.09 ) }.
% 0.72/1.09 parent0: (85) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 )
% 0.72/1.09 }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (3) {G0,W5,D2,L2,V2,M1} I { r1( Y ), ! alpha1( X, Y ) }.
% 0.72/1.09 parent0: (87) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (20) {G0,W3,D2,L1,V1,M1} I { id( X, X ) }.
% 0.72/1.09 parent0: (104) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (52) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.09 parent0: (137) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := T
% 0.72/1.09 Y := Y
% 0.72/1.09 Z := Z
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.09 parent0: (142) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (187) {G1,W5,D2,L2,V2,M2} { ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09 parent0[0]: (155) {G0,W8,D2,L3,V2,M3} { ! id( X, X ), ! r1( Y ), ! r2( Y,
% 0.72/1.09 X ) }.
% 0.72/1.09 parent1[0]: (20) {G0,W3,D2,L1,V1,M1} I { id( X, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (70) {G1,W5,D2,L2,V2,M1} I;r(20) { ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09 parent0: (187) {G1,W5,D2,L2,V2,M2} { ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (188) {G1,W5,D2,L2,V1,M2} { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.09 parent0[1]: (3) {G0,W5,D2,L2,V2,M1} I { r1( Y ), ! alpha1( X, Y ) }.
% 0.72/1.09 parent1[1]: (1) {G0,W6,D2,L2,V1,M1} I { ! id( X, skol1 ), alpha1( skol1, X
% 0.72/1.09 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol1
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (78) {G1,W5,D2,L2,V1,M1} R(1,3) { r1( X ), ! id( X, skol1 )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (188) {G1,W5,D2,L2,V1,M2} { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (189) {G1,W3,D3,L1,V0,M1} { r1( skol7( skol1 ) ) }.
% 0.72/1.09 parent0[1]: (78) {G1,W5,D2,L2,V1,M1} R(1,3) { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.09 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol7( skol1 )
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (79) {G2,W3,D3,L1,V0,M1} R(78,57) { r1( skol7( skol1 ) ) }.
% 0.72/1.09 parent0: (189) {G1,W3,D3,L1,V0,M1} { r1( skol7( skol1 ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (190) {G1,W2,D2,L1,V1,M1} { ! r1( X ) }.
% 0.72/1.09 parent0[1]: (70) {G1,W5,D2,L2,V2,M1} I;r(20) { ! r1( Y ), ! r2( Y, X ) }.
% 0.72/1.09 parent1[0]: (52) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol17( Y, X )
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := Z
% 0.72/1.09 Y := X
% 0.72/1.09 Z := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (81) {G2,W2,D2,L1,V1,M1} R(52,70) { ! r1( X ) }.
% 0.72/1.09 parent0: (190) {G1,W2,D2,L1,V1,M1} { ! r1( X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (191) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 parent0[0]: (81) {G2,W2,D2,L1,V1,M1} R(52,70) { ! r1( X ) }.
% 0.72/1.09 parent1[0]: (79) {G2,W3,D3,L1,V0,M1} R(78,57) { r1( skol7( skol1 ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol7( skol1 )
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (82) {G3,W0,D0,L0,V0,M0} R(81,79) { }.
% 0.72/1.09 parent0: (191) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 Proof check complete!
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 2195
% 0.72/1.09 space for clauses: 4999
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 89
% 0.72/1.09 clauses kept: 83
% 0.72/1.09 clauses selected: 17
% 0.72/1.09 clauses deleted: 0
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 34
% 0.72/1.09 literals s-matched: 19
% 0.72/1.09 literals matched: 19
% 0.72/1.09 full subsumption: 4
% 0.72/1.09
% 0.72/1.09 checksum: 1535040189
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------