TSTP Solution File: NUN070+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN070+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 1.14s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN070+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 09:16:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.14 *** allocated 10000 integers for termspace/termends
% 0.72/1.14 *** allocated 10000 integers for clauses
% 0.72/1.14 *** allocated 10000 integers for justifications
% 0.72/1.14 Bliksem 1.12
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Automatic Strategy Selection
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Clauses:
% 0.72/1.14
% 0.72/1.14 { alpha1( skol1, X ), ! r1( X ) }.
% 0.72/1.14 { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.72/1.14 { ! alpha1( X, Y ), id( Y, X ) }.
% 0.72/1.14 { ! alpha1( X, Y ), r1( Y ) }.
% 0.72/1.14 { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.72/1.14 { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.72/1.14 { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X ) ) }.
% 0.72/1.14 { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.72/1.14 { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.72/1.14 { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z ) }.
% 0.72/1.14 { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y, Z ) }.
% 0.72/1.14 { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z, skol3( X, Y ) ) }.
% 0.72/1.14 { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.14 { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.72/1.14 { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.14 { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y, Z ) }.
% 0.72/1.14 { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z, skol4( X, Y ) ) }.
% 0.72/1.14 { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.14 { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.72/1.14 { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y, Z, T ) }.
% 0.72/1.14 { id( X, X ) }.
% 0.72/1.14 { ! id( X, Y ), id( Y, X ) }.
% 0.72/1.14 { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.72/1.14 { alpha5( X, Y ), r1( X ) }.
% 0.72/1.14 { alpha5( X, Y ), r1( Y ) }.
% 0.72/1.14 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.72/1.14 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.72/1.14 { id( X, Y ), alpha5( X, Y ) }.
% 0.72/1.14 { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.72/1.14 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z ) }.
% 0.72/1.14 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T ) }.
% 0.72/1.14 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X, Z ) }.
% 0.72/1.14 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y, T ) }.
% 0.72/1.14 { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.14 { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.14 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( X, Z, U ) }.
% 0.72/1.14 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( Y, T, W ) }.
% 0.72/1.14 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( X, Z, U ) }.
% 0.72/1.14 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( Y, T, W ) }.
% 0.72/1.14 { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.72/1.14 { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.72/1.14 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( X, Z, U ) }.
% 0.72/1.14 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( Y, T, W ) }.
% 0.72/1.14 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( X, Z, U ) }.
% 0.72/1.14 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( Y, T, W ) }.
% 0.72/1.14 { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.72/1.14 { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.72/1.14 { id( skol11( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.14 { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.14 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.14 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.14 { r3( X, Y, skol19( X, Y ) ) }.
% 0.72/1.14 { id( skol12( X, Y ), skol6( X, Y ) ) }.
% 0.72/1.14 { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.14 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.14 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.72/1.14 { r4( X, Y, skol20( X, Y ) ) }.
% 0.72/1.14 { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id( X, Y ) }.
% 0.72/1.14 { id( skol7( X ), X ) }.
% 0.72/1.14 { r1( skol13( Y ) ) }.
% 0.72/1.14 { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.14 { r1( skol14( Z ) ) }.
% 0.72/1.14 { id( skol8( Y ), skol14( Y ) ) }.
% 0.72/1.14 { r1( skol18( Y ) ) }.
% 0.72/1.14 { r4( X, skol18( X ), skol8( X ) ) }.
% 0.72/1.14 { alpha9( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.72/1.14 { alpha9( X ), id( X, skol9( X ) ) }.
% 0.72/1.14 { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.72/1.14 { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.72/1.14 { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.72/1.14 { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.72/1.14 { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T ), ! r2( T, Y ), ! id( X, U ), ! r1(
% 0.72/1.14 W ), ! r2( W, U ) }.
% 0.72/1.14
% 0.72/1.14 percentage equality = 0.000000, percentage horn = 0.760563
% 0.72/1.14 This a non-horn, non-equality problem
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Options Used:
% 0.72/1.14
% 0.72/1.14 useres = 1
% 0.72/1.14 useparamod = 0
% 0.72/1.14 useeqrefl = 0
% 0.72/1.14 useeqfact = 0
% 0.72/1.14 usefactor = 1
% 0.72/1.14 usesimpsplitting = 0
% 0.72/1.14 usesimpdemod = 0
% 0.72/1.14 usesimpres = 3
% 0.72/1.14
% 0.72/1.14 resimpinuse = 1000
% 0.72/1.14 resimpclauses = 20000
% 0.72/1.14 substype = standard
% 0.72/1.14 backwardsubs = 1
% 0.72/1.14 selectoldest = 5
% 0.72/1.14
% 0.72/1.14 litorderings [0] = split
% 0.72/1.14 litorderings [1] = liftord
% 0.72/1.14
% 0.72/1.14 termordering = none
% 0.72/1.14
% 0.72/1.14 litapriori = 1
% 0.72/1.14 termapriori = 0
% 0.72/1.14 litaposteriori = 0
% 0.72/1.14 termaposteriori = 0
% 0.72/1.14 demodaposteriori = 0
% 0.72/1.14 ordereqreflfact = 0
% 0.72/1.14
% 0.72/1.14 litselect = none
% 0.72/1.14
% 0.72/1.14 maxweight = 15
% 0.72/1.14 maxdepth = 30000
% 0.72/1.14 maxlength = 115
% 0.72/1.14 maxnrvars = 195
% 0.72/1.14 excuselevel = 1
% 0.72/1.14 increasemaxweight = 1
% 0.72/1.14
% 0.72/1.14 maxselected = 10000000
% 0.72/1.14 maxnrclauses = 10000000
% 0.72/1.14
% 0.72/1.14 showgenerated = 0
% 0.72/1.14 showkept = 0
% 0.72/1.14 showselected = 0
% 0.72/1.14 showdeleted = 0
% 0.72/1.14 showresimp = 1
% 0.72/1.14 showstatus = 2000
% 0.72/1.14
% 0.72/1.14 prologoutput = 0
% 0.72/1.14 nrgoals = 5000000
% 0.72/1.14 totalproof = 1
% 0.72/1.14
% 0.72/1.14 Symbols occurring in the translation:
% 0.72/1.14
% 0.72/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.14 . [1, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.72/1.14 ! [4, 1] (w:0, o:74, a:1, s:1, b:0),
% 0.72/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 id [37, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.72/1.14 r1 [38, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.72/1.14 r2 [42, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.72/1.14 r3 [47, 3] (w:1, o:128, a:1, s:1, b:0),
% 0.72/1.14 r4 [52, 3] (w:1, o:129, a:1, s:1, b:0),
% 0.72/1.14 alpha1 [107, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.72/1.14 alpha2 [108, 3] (w:1, o:130, a:1, s:1, b:0),
% 0.72/1.14 alpha3 [109, 4] (w:1, o:131, a:1, s:1, b:0),
% 0.72/1.14 alpha4 [110, 4] (w:1, o:132, a:1, s:1, b:0),
% 0.72/1.14 alpha5 [111, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.72/1.14 alpha6 [112, 4] (w:1, o:133, a:1, s:1, b:0),
% 0.72/1.14 alpha7 [113, 6] (w:1, o:134, a:1, s:1, b:0),
% 0.72/1.14 alpha8 [114, 6] (w:1, o:135, a:1, s:1, b:0),
% 0.72/1.14 alpha9 [115, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.72/1.14 skol1 [116, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.72/1.14 skol2 [117, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.14 skol3 [118, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.72/1.14 skol4 [119, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.72/1.14 skol5 [120, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.72/1.14 skol6 [121, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.72/1.14 skol7 [122, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.72/1.14 skol8 [123, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.72/1.14 skol9 [124, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.72/1.14 skol10 [125, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.72/1.14 skol11 [126, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.72/1.14 skol12 [127, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.72/1.14 skol13 [128, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.14 skol14 [129, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.14 skol15 [130, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.14 skol16 [131, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.72/1.14 skol17 [132, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.72/1.14 skol18 [133, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.14 skol19 [134, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.72/1.14 skol20 [135, 2] (w:1, o:118, a:1, s:1, b:0).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Starting Search:
% 0.72/1.14
% 0.72/1.14 *** allocated 15000 integers for clauses
% 0.72/1.14 *** allocated 22500 integers for clauses
% 0.72/1.14 *** allocated 33750 integers for clauses
% 0.72/1.14
% 0.72/1.14 Bliksems!, er is een bewijs:
% 0.72/1.14 % SZS status Theorem
% 0.72/1.14 % SZS output start Refutation
% 0.72/1.14
% 0.72/1.14 (1) {G0,W6,D2,L2,V1,M1} I { ! id( X, skol1 ), alpha1( skol1, X ) }.
% 0.72/1.14 (3) {G0,W5,D2,L2,V2,M1} I { r1( Y ), ! alpha1( X, Y ) }.
% 0.72/1.14 (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 0.72/1.14 (24) {G0,W5,D2,L2,V2,M1} I { r1( Y ), alpha5( X, Y ) }.
% 0.72/1.14 (25) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( X ), ! alpha5( X, Y ) }.
% 0.72/1.14 (47) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.14 (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.14 (58) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.72/1.14 (59) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.14 (70) {G0,W19,D2,L7,V6,M1} I { ! r1( Z ), ! r1( T ), ! r2( T, Y ), ! id( X,
% 0.72/1.14 U ), ! r1( W ), ! r2( W, U ), ! r3( Y, Z, X ) }.
% 0.72/1.14 (84) {G1,W5,D2,L2,V1,M1} R(1,3) { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.14 (85) {G2,W3,D3,L1,V0,M1} R(84,57) { r1( skol7( skol1 ) ) }.
% 0.72/1.14 (91) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 0.72/1.14 (194) {G1,W7,D2,L3,V2,M1} R(25,24) { ! r1( X ), r1( Y ), ! id( X, Y ) }.
% 0.72/1.14 (201) {G2,W5,D3,L2,V1,M2} R(194,91) { r1( skol7( X ) ), ! r1( X ) }.
% 0.72/1.14 (218) {G3,W4,D4,L1,V0,M1} R(201,85) { r1( skol7( skol7( skol1 ) ) ) }.
% 0.72/1.14 (227) {G4,W5,D5,L1,V0,M1} R(218,201) { r1( skol7( skol7( skol7( skol1 ) ) )
% 0.72/1.14 ) }.
% 0.72/1.14 (266) {G5,W6,D6,L1,V0,M1} R(227,201) { r1( skol7( skol7( skol7( skol7(
% 0.72/1.14 skol1 ) ) ) ) ) }.
% 0.72/1.14 (571) {G1,W14,D3,L5,V4,M2} R(70,59);r(58) { ! r1( Y ), ! id( skol7( X ), Z
% 0.72/1.14 ), ! r1( T ), ! r2( T, Z ), ! r2( Y, X ) }.
% 0.72/1.14 (580) {G2,W5,D2,L2,V2,M1} F(571);f;r(57) { ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.14 (584) {G3,W2,D2,L1,V1,M1} R(580,47) { ! r1( X ) }.
% 0.72/1.14 (585) {G6,W0,D0,L0,V0,M0} R(584,266) { }.
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 % SZS output end Refutation
% 0.72/1.14 found a proof!
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Unprocessed initial clauses:
% 0.72/1.14
% 0.72/1.14 (587) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), ! r1( X ) }.
% 0.72/1.14 (588) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.72/1.14 (589) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), id( Y, X ) }.
% 0.72/1.14 (590) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 0.72/1.14 (591) {G0,W8,D2,L3,V2,M3} { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.72/1.14 (592) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.72/1.14 (593) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X
% 0.72/1.14 ) ) }.
% 0.72/1.14 (594) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.72/1.14 (595) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.72/1.14 (596) {G0,W10,D2,L3,V3,M3} { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z )
% 0.72/1.14 }.
% 0.72/1.14 (597) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y
% 0.72/1.14 , Z ) }.
% 0.72/1.14 (598) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z,
% 0.72/1.14 skol3( X, Y ) ) }.
% 0.72/1.14 (599) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.14 (600) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.72/1.14 (601) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y,
% 0.72/1.14 Z, T ) }.
% 0.72/1.14 (602) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y
% 0.72/1.14 , Z ) }.
% 0.72/1.14 (603) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z,
% 0.72/1.14 skol4( X, Y ) ) }.
% 0.72/1.14 (604) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.72/1.14 (605) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.72/1.14 (606) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y,
% 0.72/1.14 Z, T ) }.
% 0.72/1.14 (607) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 0.72/1.14 (608) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 0.72/1.14 (609) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.72/1.14 (610) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 0.72/1.14 (611) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 0.72/1.14 (612) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.72/1.14 (613) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.72/1.14 (614) {G0,W6,D2,L2,V2,M2} { id( X, Y ), alpha5( X, Y ) }.
% 0.72/1.14 (615) {G0,W7,D2,L3,V2,M3} { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.72/1.14 (616) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z
% 0.72/1.14 ) }.
% 0.72/1.14 (617) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T
% 0.72/1.14 ) }.
% 0.72/1.14 (618) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X
% 0.72/1.14 , Z ) }.
% 0.72/1.14 (619) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y
% 0.72/1.14 , T ) }.
% 0.72/1.14 (620) {G0,W8,D2,L2,V4,M2} { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.14 (621) {G0,W11,D2,L3,V4,M3} { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T )
% 0.72/1.14 }.
% 0.72/1.14 (622) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.72/1.14 T, U, W ), r3( X, Z, U ) }.
% 0.72/1.14 (623) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.72/1.14 T, U, W ), r3( Y, T, W ) }.
% 0.72/1.14 (624) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.14 r3( X, Z, U ) }.
% 0.72/1.14 (625) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.14 r3( Y, T, W ) }.
% 0.72/1.14 (626) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.72/1.14 (627) {G0,W15,D2,L3,V6,M3} { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z
% 0.72/1.14 , T, U, W ) }.
% 0.72/1.14 (628) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.72/1.14 T, U, W ), r4( X, Z, U ) }.
% 0.72/1.14 (629) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.72/1.14 T, U, W ), r4( Y, T, W ) }.
% 0.72/1.14 (630) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.14 r4( X, Z, U ) }.
% 0.72/1.14 (631) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.72/1.14 r4( Y, T, W ) }.
% 0.72/1.14 (632) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.72/1.14 (633) {G0,W15,D2,L3,V6,M3} { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z
% 0.72/1.14 , T, U, W ) }.
% 0.72/1.14 (634) {G0,W7,D3,L1,V2,M1} { id( skol11( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.14 (635) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.14 (636) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.14 (637) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.14 (638) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.72/1.14 (639) {G0,W7,D3,L1,V2,M1} { id( skol12( X, Y ), skol6( X, Y ) ) }.
% 0.72/1.14 (640) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.72/1.14 (641) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.14 (642) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.72/1.14 (643) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.72/1.14 (644) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id
% 0.72/1.14 ( X, Y ) }.
% 0.72/1.14 (645) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 0.72/1.14 (646) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.72/1.14 (647) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.14 (648) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.72/1.14 (649) {G0,W5,D3,L1,V1,M1} { id( skol8( Y ), skol14( Y ) ) }.
% 0.72/1.14 (650) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.72/1.14 (651) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 0.72/1.14 (652) {G0,W7,D3,L2,V2,M2} { alpha9( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.72/1.14 (653) {G0,W6,D3,L2,V1,M2} { alpha9( X ), id( X, skol9( X ) ) }.
% 0.72/1.14 (654) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.72/1.14 (655) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.72/1.14 (656) {G0,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.72/1.14 (657) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.72/1.14 (658) {G0,W19,D2,L7,V6,M7} { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T ), ! r2(
% 0.72/1.14 T, Y ), ! id( X, U ), ! r1( W ), ! r2( W, U ) }.
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Total Proof:
% 0.72/1.14
% 0.72/1.14 subsumption: (1) {G0,W6,D2,L2,V1,M1} I { ! id( X, skol1 ), alpha1( skol1, X
% 0.72/1.14 ) }.
% 0.72/1.14 parent0: (588) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 )
% 0.72/1.14 }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 1
% 0.72/1.14 1 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (3) {G0,W5,D2,L2,V2,M1} I { r1( Y ), ! alpha1( X, Y ) }.
% 0.72/1.14 parent0: (590) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 1
% 0.72/1.14 1 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 0.72/1.14 parent0: (608) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 1
% 0.72/1.14 1 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (24) {G0,W5,D2,L2,V2,M1} I { r1( Y ), alpha5( X, Y ) }.
% 0.72/1.14 parent0: (611) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 1
% 0.72/1.14 1 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (25) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( X ), ! alpha5
% 0.72/1.14 ( X, Y ) }.
% 0.72/1.14 parent0: (612) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1
% 0.72/1.14 ( X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 2
% 0.72/1.14 1 ==> 0
% 0.72/1.14 2 ==> 1
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (47) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.14 parent0: (635) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := T
% 0.72/1.14 Y := Y
% 0.72/1.14 Z := Z
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 *** allocated 50625 integers for clauses
% 0.72/1.14 subsumption: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.14 parent0: (645) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (58) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.72/1.14 parent0: (646) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := Z
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (59) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) )
% 0.72/1.14 }.
% 0.72/1.14 parent0: (647) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (70) {G0,W19,D2,L7,V6,M1} I { ! r1( Z ), ! r1( T ), ! r2( T, Y
% 0.72/1.14 ), ! id( X, U ), ! r1( W ), ! r2( W, U ), ! r3( Y, Z, X ) }.
% 0.72/1.14 parent0: (658) {G0,W19,D2,L7,V6,M7} { ! r1( Z ), ! r3( Y, Z, X ), ! r1( T
% 0.72/1.14 ), ! r2( T, Y ), ! id( X, U ), ! r1( W ), ! r2( W, U ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 Z := Z
% 0.72/1.14 T := T
% 0.72/1.14 U := U
% 0.72/1.14 W := W
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 1 ==> 6
% 0.72/1.14 2 ==> 1
% 0.72/1.14 3 ==> 2
% 0.72/1.14 4 ==> 3
% 0.72/1.14 5 ==> 4
% 0.72/1.14 6 ==> 5
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (718) {G1,W5,D2,L2,V1,M2} { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.14 parent0[1]: (3) {G0,W5,D2,L2,V2,M1} I { r1( Y ), ! alpha1( X, Y ) }.
% 0.72/1.14 parent1[1]: (1) {G0,W6,D2,L2,V1,M1} I { ! id( X, skol1 ), alpha1( skol1, X
% 0.72/1.14 ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol1
% 0.72/1.14 Y := X
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (84) {G1,W5,D2,L2,V1,M1} R(1,3) { r1( X ), ! id( X, skol1 )
% 0.72/1.14 }.
% 0.72/1.14 parent0: (718) {G1,W5,D2,L2,V1,M2} { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 1 ==> 1
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (719) {G1,W3,D3,L1,V0,M1} { r1( skol7( skol1 ) ) }.
% 0.72/1.14 parent0[1]: (84) {G1,W5,D2,L2,V1,M1} R(1,3) { r1( X ), ! id( X, skol1 ) }.
% 0.72/1.14 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( skol1 )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := skol1
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (85) {G2,W3,D3,L1,V0,M1} R(84,57) { r1( skol7( skol1 ) ) }.
% 0.72/1.14 parent0: (719) {G1,W3,D3,L1,V0,M1} { r1( skol7( skol1 ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (720) {G1,W4,D3,L1,V1,M1} { id( X, skol7( X ) ) }.
% 0.72/1.14 parent0[1]: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 0.72/1.14 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( X )
% 0.72/1.14 Y := X
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (91) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 0.72/1.14 parent0: (720) {G1,W4,D3,L1,V1,M1} { id( X, skol7( X ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (722) {G1,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( X ), r1( Y )
% 0.72/1.14 }.
% 0.72/1.14 parent0[2]: (25) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( X ), ! alpha5
% 0.72/1.14 ( X, Y ) }.
% 0.72/1.14 parent1[1]: (24) {G0,W5,D2,L2,V2,M1} I { r1( Y ), alpha5( X, Y ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (194) {G1,W7,D2,L3,V2,M1} R(25,24) { ! r1( X ), r1( Y ), ! id
% 0.72/1.14 ( X, Y ) }.
% 0.72/1.14 parent0: (722) {G1,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( X ), r1( Y ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 2
% 0.72/1.14 1 ==> 0
% 0.72/1.14 2 ==> 1
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (723) {G2,W5,D3,L2,V1,M2} { ! r1( X ), r1( skol7( X ) ) }.
% 0.72/1.14 parent0[2]: (194) {G1,W7,D2,L3,V2,M1} R(25,24) { ! r1( X ), r1( Y ), ! id(
% 0.72/1.14 X, Y ) }.
% 0.72/1.14 parent1[0]: (91) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := skol7( X )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (201) {G2,W5,D3,L2,V1,M2} R(194,91) { r1( skol7( X ) ), ! r1(
% 0.72/1.14 X ) }.
% 0.72/1.14 parent0: (723) {G2,W5,D3,L2,V1,M2} { ! r1( X ), r1( skol7( X ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 1
% 0.72/1.14 1 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (724) {G3,W4,D4,L1,V0,M1} { r1( skol7( skol7( skol1 ) ) ) }.
% 0.72/1.14 parent0[1]: (201) {G2,W5,D3,L2,V1,M2} R(194,91) { r1( skol7( X ) ), ! r1( X
% 0.72/1.14 ) }.
% 0.72/1.14 parent1[0]: (85) {G2,W3,D3,L1,V0,M1} R(84,57) { r1( skol7( skol1 ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( skol1 )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (218) {G3,W4,D4,L1,V0,M1} R(201,85) { r1( skol7( skol7( skol1
% 0.72/1.14 ) ) ) }.
% 0.72/1.14 parent0: (724) {G3,W4,D4,L1,V0,M1} { r1( skol7( skol7( skol1 ) ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (725) {G3,W5,D5,L1,V0,M1} { r1( skol7( skol7( skol7( skol1 ) )
% 0.72/1.14 ) ) }.
% 0.72/1.14 parent0[1]: (201) {G2,W5,D3,L2,V1,M2} R(194,91) { r1( skol7( X ) ), ! r1( X
% 0.72/1.14 ) }.
% 0.72/1.14 parent1[0]: (218) {G3,W4,D4,L1,V0,M1} R(201,85) { r1( skol7( skol7( skol1 )
% 0.72/1.14 ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( skol7( skol1 ) )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (227) {G4,W5,D5,L1,V0,M1} R(218,201) { r1( skol7( skol7( skol7
% 0.72/1.14 ( skol1 ) ) ) ) }.
% 0.72/1.14 parent0: (725) {G3,W5,D5,L1,V0,M1} { r1( skol7( skol7( skol7( skol1 ) ) )
% 0.72/1.14 ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (726) {G3,W6,D6,L1,V0,M1} { r1( skol7( skol7( skol7( skol7(
% 0.72/1.14 skol1 ) ) ) ) ) }.
% 0.72/1.14 parent0[1]: (201) {G2,W5,D3,L2,V1,M2} R(194,91) { r1( skol7( X ) ), ! r1( X
% 0.72/1.14 ) }.
% 0.72/1.14 parent1[0]: (227) {G4,W5,D5,L1,V0,M1} R(218,201) { r1( skol7( skol7( skol7
% 0.72/1.14 ( skol1 ) ) ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( skol7( skol7( skol1 ) ) )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (266) {G5,W6,D6,L1,V0,M1} R(227,201) { r1( skol7( skol7( skol7
% 0.72/1.14 ( skol7( skol1 ) ) ) ) ) }.
% 0.72/1.14 parent0: (726) {G3,W6,D6,L1,V0,M1} { r1( skol7( skol7( skol7( skol7( skol1
% 0.72/1.14 ) ) ) ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (727) {G1,W17,D3,L6,V4,M6} { ! r1( skol13( X ) ), ! r1( Y ), !
% 0.72/1.14 r2( Y, X ), ! id( skol7( X ), Z ), ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.14 parent0[6]: (70) {G0,W19,D2,L7,V6,M1} I { ! r1( Z ), ! r1( T ), ! r2( T, Y
% 0.72/1.14 ), ! id( X, U ), ! r1( W ), ! r2( W, U ), ! r3( Y, Z, X ) }.
% 0.72/1.14 parent1[0]: (59) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) )
% 0.72/1.14 }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( X )
% 0.72/1.14 Y := X
% 0.72/1.14 Z := skol13( X )
% 0.72/1.14 T := Y
% 0.72/1.14 U := Z
% 0.72/1.14 W := T
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (749) {G1,W14,D3,L5,V4,M5} { ! r1( Y ), ! r2( Y, X ), ! id(
% 0.72/1.14 skol7( X ), Z ), ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.14 parent0[0]: (727) {G1,W17,D3,L6,V4,M6} { ! r1( skol13( X ) ), ! r1( Y ), !
% 0.72/1.14 r2( Y, X ), ! id( skol7( X ), Z ), ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.14 parent1[0]: (58) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 Z := Z
% 0.72/1.14 T := T
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := U
% 0.72/1.14 Y := X
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (571) {G1,W14,D3,L5,V4,M2} R(70,59);r(58) { ! r1( Y ), ! id(
% 0.72/1.14 skol7( X ), Z ), ! r1( T ), ! r2( T, Z ), ! r2( Y, X ) }.
% 0.72/1.14 parent0: (749) {G1,W14,D3,L5,V4,M5} { ! r1( Y ), ! r2( Y, X ), ! id( skol7
% 0.72/1.14 ( X ), Z ), ! r1( T ), ! r2( T, Z ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 Z := Z
% 0.72/1.14 T := T
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 1 ==> 4
% 0.72/1.14 2 ==> 1
% 0.72/1.14 3 ==> 2
% 0.72/1.14 4 ==> 3
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 factor: (754) {G1,W11,D3,L4,V2,M4} { ! r1( X ), ! id( skol7( Y ), Y ), !
% 0.72/1.14 r1( X ), ! r2( X, Y ) }.
% 0.72/1.14 parent0[3, 4]: (571) {G1,W14,D3,L5,V4,M2} R(70,59);r(58) { ! r1( Y ), ! id
% 0.72/1.14 ( skol7( X ), Z ), ! r1( T ), ! r2( T, Z ), ! r2( Y, X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := Y
% 0.72/1.14 Y := X
% 0.72/1.14 Z := Y
% 0.72/1.14 T := X
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (756) {G1,W7,D2,L3,V2,M3} { ! r1( X ), ! r1( X ), ! r2( X, Y )
% 0.72/1.14 }.
% 0.72/1.14 parent0[1]: (754) {G1,W11,D3,L4,V2,M4} { ! r1( X ), ! id( skol7( Y ), Y )
% 0.72/1.14 , ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.14 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := Y
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 factor: (757) {G1,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.14 parent0[0, 1]: (756) {G1,W7,D2,L3,V2,M3} { ! r1( X ), ! r1( X ), ! r2( X,
% 0.72/1.14 Y ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (580) {G2,W5,D2,L2,V2,M1} F(571);f;r(57) { ! r1( X ), ! r2( X
% 0.72/1.14 , Y ) }.
% 0.72/1.14 parent0: (757) {G1,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( X, Y ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := Y
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 1 ==> 1
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (758) {G1,W2,D2,L1,V1,M1} { ! r1( X ) }.
% 0.72/1.14 parent0[1]: (580) {G2,W5,D2,L2,V2,M1} F(571);f;r(57) { ! r1( X ), ! r2( X,
% 0.72/1.14 Y ) }.
% 0.72/1.14 parent1[0]: (47) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 Y := skol16( Y, X )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 X := Z
% 0.72/1.14 Y := X
% 0.72/1.14 Z := Y
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (584) {G3,W2,D2,L1,V1,M1} R(580,47) { ! r1( X ) }.
% 0.72/1.14 parent0: (758) {G1,W2,D2,L1,V1,M1} { ! r1( X ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := X
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 0 ==> 0
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 resolution: (759) {G4,W0,D0,L0,V0,M0} { }.
% 0.72/1.14 parent0[0]: (584) {G3,W2,D2,L1,V1,M1} R(580,47) { ! r1( X ) }.
% 0.72/1.14 parent1[0]: (266) {G5,W6,D6,L1,V0,M1} R(227,201) { r1( skol7( skol7( skol7
% 0.72/1.14 ( skol7( skol1 ) ) ) ) ) }.
% 0.72/1.14 substitution0:
% 0.72/1.14 X := skol7( skol7( skol7( skol7( skol1 ) ) ) )
% 0.72/1.14 end
% 0.72/1.14 substitution1:
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 subsumption: (585) {G6,W0,D0,L0,V0,M0} R(584,266) { }.
% 0.72/1.14 parent0: (759) {G4,W0,D0,L0,V0,M0} { }.
% 0.72/1.14 substitution0:
% 0.72/1.14 end
% 0.72/1.14 permutation0:
% 0.72/1.14 end
% 0.72/1.14
% 0.72/1.14 Proof check complete!
% 0.72/1.14
% 0.72/1.14 Memory use:
% 0.72/1.14
% 0.72/1.14 space for terms: 6821
% 0.72/1.14 space for clauses: 31904
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 clauses generated: 1113
% 0.72/1.14 clauses kept: 586
% 0.72/1.14 clauses selected: 211
% 0.72/1.14 clauses deleted: 2
% 0.72/1.14 clauses inuse deleted: 0
% 0.72/1.14
% 0.72/1.14 subsentry: 1650
% 0.72/1.14 literals s-matched: 1187
% 0.72/1.14 literals matched: 1183
% 0.72/1.14 full subsumption: 192
% 0.72/1.14
% 0.72/1.14 checksum: 286139735
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksem ended
%------------------------------------------------------------------------------