%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN082+2 : 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 16:19:16 EDT 2022
% Result : Theorem 0.79s 1.24s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUN082+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.14 % Command : bliksem %s
% 0.13/0.36 % Computer : n025.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % DateTime : Thu Jun 2 04:56:29 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.79/1.24 *** allocated 10000 integers for termspace/termends
% 0.79/1.24 *** allocated 10000 integers for clauses
% 0.79/1.24 *** allocated 10000 integers for justifications
% 0.79/1.24 Bliksem 1.12
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Automatic Strategy Selection
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Clauses:
% 0.79/1.24
% 0.79/1.24 { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.79/1.24 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.79/1.24 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.79/1.24 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.79/1.24 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.79/1.24 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.79/1.24 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.79/1.24 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.79/1.24 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.79/1.24 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.79/1.24 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.79/1.24 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.79/1.24 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.79/1.24 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.79/1.24 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.79/1.24 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.79/1.24 { r2( Y, skol16( Z, Y ) ) }.
% 0.79/1.24 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.79/1.24 { skol11( X, Y ) = skol5( X, Y ) }.
% 0.79/1.24 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.79/1.24 { r3( X, Y, skol19( X, Y ) ) }.
% 0.79/1.24 { r2( Y, skol17( Z, Y ) ) }.
% 0.79/1.24 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.79/1.24 { skol12( X, Y ) = skol6( X, Y ) }.
% 0.79/1.24 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.79/1.24 { r4( X, Y, skol20( X, Y ) ) }.
% 0.79/1.24 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.79/1.24 { r1( skol13( Y ) ) }.
% 0.79/1.24 { r3( X, skol13( X ), skol7( X ) ) }.
% 0.79/1.24 { skol7( X ) = X }.
% 0.79/1.24 { r1( skol14( Z ) ) }.
% 0.79/1.24 { skol8( Y ) = skol14( Y ) }.
% 0.79/1.24 { r1( skol18( Y ) ) }.
% 0.79/1.24 { r4( X, skol18( X ), skol8( X ) ) }.
% 0.79/1.24 { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.79/1.24 { alpha5( X ), X = skol9( X ) }.
% 0.79/1.24 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.79/1.24 { ! alpha5( X ), X = skol10( X ) }.
% 0.79/1.24 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.79/1.24 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.79/1.24 { ! r4( Z, Y, X ), ! r1( T ), ! r2( T, Y ), ! r1( U ), ! X = U }.
% 0.79/1.24
% 0.79/1.24 percentage equality = 0.273810, percentage horn = 0.688889
% 0.79/1.24 This is a problem with some equality
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Options Used:
% 0.79/1.24
% 0.79/1.24 useres = 1
% 0.79/1.24 useparamod = 1
% 0.79/1.24 useeqrefl = 1
% 0.79/1.24 useeqfact = 1
% 0.79/1.24 usefactor = 1
% 0.79/1.24 usesimpsplitting = 0
% 0.79/1.24 usesimpdemod = 5
% 0.79/1.24 usesimpres = 3
% 0.79/1.24
% 0.79/1.24 resimpinuse = 1000
% 0.79/1.24 resimpclauses = 20000
% 0.79/1.24 substype = eqrewr
% 0.79/1.24 backwardsubs = 1
% 0.79/1.24 selectoldest = 5
% 0.79/1.24
% 0.79/1.24 litorderings [0] = split
% 0.79/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.24
% 0.79/1.24 termordering = kbo
% 0.79/1.24
% 0.79/1.24 litapriori = 0
% 0.79/1.24 termapriori = 1
% 0.79/1.24 litaposteriori = 0
% 0.79/1.24 termaposteriori = 0
% 0.79/1.24 demodaposteriori = 0
% 0.79/1.24 ordereqreflfact = 0
% 0.79/1.24
% 0.79/1.24 litselect = negord
% 0.79/1.24
% 0.79/1.24 maxweight = 15
% 0.79/1.24 maxdepth = 30000
% 0.79/1.24 maxlength = 115
% 0.79/1.24 maxnrvars = 195
% 0.79/1.24 excuselevel = 1
% 0.79/1.24 increasemaxweight = 1
% 0.79/1.24
% 0.79/1.24 maxselected = 10000000
% 0.79/1.24 maxnrclauses = 10000000
% 0.79/1.24
% 0.79/1.24 showgenerated = 0
% 0.79/1.24 showkept = 0
% 0.79/1.24 showselected = 0
% 0.79/1.24 showdeleted = 0
% 0.79/1.24 showresimp = 1
% 0.79/1.24 showstatus = 2000
% 0.79/1.24
% 0.79/1.24 prologoutput = 0
% 0.79/1.24 nrgoals = 5000000
% 0.79/1.24 totalproof = 1
% 0.79/1.24
% 0.79/1.24 Symbols occurring in the translation:
% 0.79/1.24
% 0.79/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.24 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.79/1.24 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.79/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.24 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.79/1.24 r2 [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.79/1.24 r3 [46, 3] (w:1, o:102, a:1, s:1, b:0),
% 0.79/1.24 r4 [51, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.79/1.24 alpha1 [82, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.79/1.24 alpha2 [83, 3] (w:1, o:104, a:1, s:1, b:1),
% 0.79/1.24 alpha3 [84, 4] (w:1, o:105, a:1, s:1, b:1),
% 0.79/1.24 alpha4 [85, 4] (w:1, o:106, a:1, s:1, b:1),
% 0.79/1.24 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.79/1.24 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.79/1.24 skol2 [88, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.79/1.24 skol3 [89, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.79/1.24 skol4 [90, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.79/1.24 skol5 [91, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.79/1.24 skol6 [92, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.79/1.24 skol7 [93, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.79/1.24 skol8 [94, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.79/1.24 skol9 [95, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.79/1.24 skol10 [96, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.79/1.24 skol11 [97, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.79/1.24 skol12 [98, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.79/1.24 skol13 [99, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.79/1.24 skol14 [100, 1] (w:1, o:59, a:1, s:1, b:1),
% 0.79/1.24 skol15 [101, 1] (w:1, o:60, a:1, s:1, b:1),
% 0.79/1.24 skol16 [102, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.79/1.24 skol17 [103, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.79/1.24 skol18 [104, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.79/1.24 skol19 [105, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.79/1.24 skol20 [106, 2] (w:1, o:92, a:1, s:1, b:1).
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Starting Search:
% 0.79/1.24
% 0.79/1.24 *** allocated 15000 integers for clauses
% 0.79/1.24 *** allocated 22500 integers for clauses
% 0.79/1.24 *** allocated 33750 integers for clauses
% 0.79/1.24 *** allocated 50625 integers for clauses
% 0.79/1.24 *** allocated 15000 integers for termspace/termends
% 0.79/1.24 Resimplifying inuse:
% 0.79/1.24 Done
% 0.79/1.24
% 0.79/1.24 *** allocated 75937 integers for clauses
% 0.79/1.24 *** allocated 22500 integers for termspace/termends
% 0.79/1.24 *** allocated 113905 integers for clauses
% 0.79/1.24 *** allocated 33750 integers for termspace/termends
% 0.79/1.24
% 0.79/1.24 Intermediate Status:
% 0.79/1.24 Generated: 7085
% 0.79/1.24 Kept: 2022
% 0.79/1.24 Inuse: 207
% 0.79/1.24 Deleted: 44
% 0.79/1.24 Deletedinuse: 25
% 0.79/1.24
% 0.79/1.24 Resimplifying inuse:
% 0.79/1.24 Done
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Bliksems!, er is een bewijs:
% 0.79/1.24 % SZS status Theorem
% 0.79/1.24 % SZS output start Refutation
% 0.79/1.24
% 0.79/1.24 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.79/1.24 (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.79/1.24 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.79/1.24 (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.79/1.24 (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3(
% 0.79/1.24 X, Y ) }.
% 0.79/1.24 (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.79/1.24 (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4(
% 0.79/1.24 X, Y ) }.
% 0.79/1.24 (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.79/1.24 (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 0.79/1.24 (26) {G0,W8,D3,L1,V2,M1} I { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.79/1.24 (27) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol6( X, Y ) }.
% 0.79/1.24 (28) {G0,W8,D3,L1,V2,M1} I { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.79/1.24 (29) {G0,W6,D3,L1,V2,M1} I { r4( X, Y, skol20( X, Y ) ) }.
% 0.79/1.24 (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.79/1.24 (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) ) }.
% 0.79/1.24 (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.79/1.24 (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 0.79/1.24 (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 0.79/1.24 (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.79/1.24 (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ), skol14( X ) ) }.
% 0.79/1.24 (44) {G0,W14,D2,L5,V5,M5} I { ! r4( Z, Y, X ), ! r1( T ), ! r2( T, Y ), !
% 0.79/1.24 r1( U ), ! X = U }.
% 0.79/1.24 (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.79/1.24 (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.79/1.24 (55) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.79/1.24 (65) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) ) }.
% 0.79/1.24 (66) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) ) }.
% 0.79/1.24 (67) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) ) }.
% 0.79/1.24 (68) {G2,W4,D3,L1,V1,M1} R(65,1) { skol13( X ) ==> skol1 }.
% 0.79/1.24 (69) {G2,W4,D3,L1,V1,M1} R(66,1) { skol14( X ) ==> skol1 }.
% 0.79/1.24 (70) {G2,W4,D3,L1,V1,M1} R(67,1) { skol18( X ) ==> skol1 }.
% 0.79/1.24 (71) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.79/1.24 (84) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.79/1.24 (115) {G1,W6,D3,L1,V3,M1} R(7,25) { ! alpha2( X, Y, skol17( Z, X ) ) }.
% 0.79/1.24 (251) {G2,W6,D3,L1,V2,M1} R(115,6) { skol17( X, Y ) ==> skol2( Y ) }.
% 0.79/1.24 (320) {G3,W4,D2,L1,V1,M1} S(37);d(70);d(69) { r4( X, skol1, skol1 ) }.
% 0.79/1.24 (340) {G3,W4,D2,L1,V1,M1} S(32);d(68);d(33) { r3( X, skol1, X ) }.
% 0.79/1.24 (376) {G4,W5,D2,L1,V2,M1} R(340,12) { ! alpha3( X, skol1, Y, X ) }.
% 0.79/1.24 (387) {G5,W5,D3,L1,V1,M1} R(376,11) { skol3( X, skol1 ) ==> X }.
% 0.79/1.24 (395) {G4,W5,D2,L1,V2,M1} R(17,320) { ! alpha4( X, skol1, Y, skol1 ) }.
% 0.79/1.24 (397) {G1,W7,D3,L1,V3,M1} R(17,29) { ! alpha4( X, Y, Z, skol20( X, Y ) )
% 0.79/1.24 }.
% 0.79/1.24 (398) {G5,W5,D3,L1,V1,M1} R(395,16) { skol4( X, skol1 ) ==> skol1 }.
% 0.79/1.24 (574) {G3,W7,D3,L1,V2,M1} S(26);d(251);d(27) { r4( X, skol2( Y ), skol6( X
% 0.79/1.24 , Y ) ) }.
% 0.79/1.24 (1044) {G2,W15,D2,L5,V5,M5} R(44,71) { ! r4( X, Y, Z ), ! r2( T, Y ), ! r1
% 0.79/1.24 ( U ), ! Z = U, ! T = skol1 }.
% 0.79/1.24 (1058) {G3,W10,D2,L3,V3,M3} F(1044);r(55) { ! r4( X, Y, Z ), ! r2( Z, Y ),
% 0.79/1.24 ! Z = skol1 }.
% 0.79/1.24 (1060) {G4,W7,D2,L2,V2,M2} Q(1058) { ! r4( X, Y, skol1 ), ! r2( skol1, Y )
% 0.79/1.24 }.
% 0.79/1.24 (1264) {G5,W5,D3,L1,V1,M1} R(1060,84) { ! r4( X, skol2( skol1 ), skol1 )
% 0.79/1.24 }.
% 0.79/1.24 (1704) {G2,W7,D3,L1,V2,M1} R(397,16) { skol4( X, Y ) ==> skol20( X, Y ) }.
% 0.79/1.24 (1782) {G6,W5,D3,L1,V1,M1} P(1704,398) { skol20( X, skol1 ) ==> skol1 }.
% 0.79/1.24 (1784) {G7,W6,D3,L1,V1,M1} P(1782,28) { r3( skol1, X, skol6( X, skol1 ) )
% 0.79/1.24 }.
% 0.79/1.24 (1794) {G8,W7,D3,L1,V2,M1} R(1784,12) { ! alpha3( skol1, X, Y, skol6( X,
% 0.79/1.24 skol1 ) ) }.
% 0.79/1.24 (1895) {G9,W7,D3,L1,V1,M1} R(1794,11) { skol6( X, skol1 ) ==> skol3( skol1
% 0.79/1.24 , X ) }.
% 0.79/1.24 (2074) {G10,W7,D3,L1,V1,M1} P(1895,574) { r4( X, skol2( skol1 ), skol3(
% 0.79/1.24 skol1, X ) ) }.
% 0.79/1.24 (2103) {G11,W0,D0,L0,V0,M0} P(387,2074);r(1264) { }.
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 % SZS output end Refutation
% 0.79/1.24 found a proof!
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Unprocessed initial clauses:
% 0.79/1.24
% 0.79/1.24 (2105) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 (2106) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 (2107) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 (2108) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 (2109) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.79/1.24 (2110) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.79/1.24 (2111) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 0.79/1.24 }.
% 0.79/1.24 (2112) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.79/1.24 (2113) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.79/1.24 (2114) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.79/1.24 (2115) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y,
% 0.79/1.24 Z ) }.
% 0.79/1.24 (2116) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 0.79/1.24 ( X, Y ) }.
% 0.79/1.24 (2117) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.79/1.24 (2118) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.79/1.24 (2119) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 0.79/1.24 }.
% 0.79/1.24 (2120) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y,
% 0.79/1.24 Z ) }.
% 0.79/1.24 (2121) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 0.79/1.24 ( X, Y ) }.
% 0.79/1.24 (2122) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.79/1.24 (2123) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.79/1.24 (2124) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 0.79/1.24 }.
% 0.79/1.24 (2125) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.79/1.24 (2126) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.79/1.24 (2127) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 0.79/1.24 (2128) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.79/1.24 (2129) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.79/1.24 (2130) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.79/1.24 (2131) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.79/1.24 (2132) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 0.79/1.24 (2133) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.79/1.24 (2134) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.79/1.24 (2135) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.79/1.24 }.
% 0.79/1.24 (2136) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.79/1.24 (2137) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.79/1.24 (2138) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.79/1.24 (2139) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.79/1.24 (2140) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 0.79/1.24 (2141) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.79/1.24 (2142) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 0.79/1.24 (2143) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol15( Y ), skol9( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 (2144) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.79/1.24 (2145) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.79/1.24 (2146) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.79/1.24 (2147) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.79/1.24 (2148) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.79/1.24 (2149) {G0,W14,D2,L5,V5,M5} { ! r4( Z, Y, X ), ! r1( T ), ! r2( T, Y ), !
% 0.79/1.24 r1( U ), ! X = U }.
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Total Proof:
% 0.79/1.24
% 0.79/1.24 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 parent0: (2105) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 parent0: (2106) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 parent0: (2107) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 parent0: (2108) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X
% 0.79/1.24 , Y ) }.
% 0.79/1.24 parent0: (2110) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.79/1.24 skol2( X ) }.
% 0.79/1.24 parent0: (2111) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y =
% 0.79/1.24 skol2( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2112) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.79/1.24 parent0: (2113) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 0.79/1.24 , Z = skol3( X, Y ) }.
% 0.79/1.24 parent0: (2116) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z
% 0.79/1.24 = skol3( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X,
% 0.79/1.24 Y, T ) }.
% 0.79/1.24 parent0: (2117) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y,
% 0.79/1.24 T ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 T := T
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z )
% 0.79/1.24 , Z = skol4( X, Y ) }.
% 0.79/1.24 parent0: (2121) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z
% 0.79/1.24 = skol4( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X,
% 0.79/1.24 Y, T ) }.
% 0.79/1.24 parent0: (2122) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y,
% 0.79/1.24 T ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 T := T
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 0.79/1.24 parent0: (2130) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := T
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (26) {G0,W8,D3,L1,V2,M1} I { r4( X, skol17( X, Y ), skol12( X
% 0.79/1.24 , Y ) ) }.
% 0.79/1.24 parent0: (2131) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y
% 0.79/1.24 ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (27) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol6( X, Y )
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2132) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (28) {G0,W8,D3,L1,V2,M1} I { r3( skol20( X, Y ), X, skol6( X,
% 0.79/1.24 Y ) ) }.
% 0.79/1.24 parent0: (2133) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y )
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (29) {G0,W6,D3,L1,V2,M1} I { r4( X, Y, skol20( X, Y ) ) }.
% 0.79/1.24 parent0: (2134) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.79/1.24 parent0: (2136) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2137) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.79/1.24 parent0: (2138) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 0.79/1.24 parent0: (2139) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := T
% 0.79/1.24 Y := U
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 0.79/1.24 parent0: (2140) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.79/1.24 parent0: (2141) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2432) {G1,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol14( X ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 0.79/1.24 parent1[0; 4]: (2142) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X )
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ), skol14
% 0.79/1.24 ( X ) ) }.
% 0.79/1.24 parent0: (2432) {G1,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol14( X ) )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (44) {G0,W14,D2,L5,V5,M5} I { ! r4( Z, Y, X ), ! r1( T ), ! r2
% 0.79/1.24 ( T, Y ), ! r1( U ), ! X = U }.
% 0.79/1.24 parent0: (2149) {G0,W14,D2,L5,V5,M5} { ! r4( Z, Y, X ), ! r1( T ), ! r2( T
% 0.79/1.24 , Y ), ! r1( U ), ! X = U }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 T := T
% 0.79/1.24 U := U
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 2 ==> 2
% 0.79/1.24 3 ==> 3
% 0.79/1.24 4 ==> 4
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2458) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.79/1.24 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqrefl: (2459) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 0.79/1.24 parent0[0]: (2458) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.79/1.24 parent0: (2459) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2460) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.79/1.24 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqrefl: (2461) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.79/1.24 parent0[0]: (2460) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.79/1.24 parent0: (2461) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2462) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 0.79/1.24 parent0[0]: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.79/1.24 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (55) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.79/1.24 parent0: (2462) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2463) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 0.79/1.24 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 parent1[0]: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol13( Y )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (65) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2463) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2464) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 0.79/1.24 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 parent1[0]: (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol14( Y )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := T
% 0.79/1.24 Z := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (66) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2464) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2465) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol18( Y ) ) }.
% 0.79/1.24 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.79/1.24 parent1[0]: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol18( Y )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (67) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2465) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol18( Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2466) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.79/1.24 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2467) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 0.79/1.24 parent0[0]: (65) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent1[1]: (2466) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol13( X )
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2468) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 0.79/1.24 parent0[0]: (2467) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (68) {G2,W4,D3,L1,V1,M1} R(65,1) { skol13( X ) ==> skol1 }.
% 0.79/1.24 parent0: (2468) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2469) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.79/1.24 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2470) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 0.79/1.24 parent0[0]: (66) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent1[1]: (2469) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol14( X )
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2471) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 0.79/1.24 parent0[0]: (2470) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (69) {G2,W4,D3,L1,V1,M1} R(66,1) { skol14( X ) ==> skol1 }.
% 0.79/1.24 parent0: (2471) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2472) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.79/1.24 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2473) {G1,W4,D3,L1,V1,M1} { skol1 = skol18( X ) }.
% 0.79/1.24 parent0[0]: (67) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent1[1]: (2472) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol18( X )
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2474) {G1,W4,D3,L1,V1,M1} { skol18( X ) = skol1 }.
% 0.79/1.24 parent0[0]: (2473) {G1,W4,D3,L1,V1,M1} { skol1 = skol18( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (70) {G2,W4,D3,L1,V1,M1} R(67,1) { skol18( X ) ==> skol1 }.
% 0.79/1.24 parent0: (2474) {G1,W4,D3,L1,V1,M1} { skol18( X ) = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2475) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.79/1.24 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2476) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.79/1.24 parent0[1]: (2475) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.79/1.24 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol1
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2477) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 0.79/1.24 parent0[0]: (2476) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (71) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.79/1.24 parent0: (2477) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2478) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.79/1.24 parent0[0]: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.79/1.24 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 0.79/1.24 Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol2( X )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol2( X )
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (84) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.79/1.24 parent0: (2478) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2479) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol17( Z, X ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.79/1.24 }.
% 0.79/1.24 parent1[0]: (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := skol17( Z, X )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := T
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (115) {G1,W6,D3,L1,V3,M1} R(7,25) { ! alpha2( X, Y, skol17( Z
% 0.79/1.24 , X ) ) }.
% 0.79/1.24 parent0: (2479) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol17( Z, X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2480) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y )
% 0.79/1.24 , X ) }.
% 0.79/1.24 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.79/1.24 skol2( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2481) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol17( Y, X ) }.
% 0.79/1.24 parent0[0]: (115) {G1,W6,D3,L1,V3,M1} R(7,25) { ! alpha2( X, Y, skol17( Z,
% 0.79/1.24 X ) ) }.
% 0.79/1.24 parent1[1]: (2480) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 0.79/1.24 ( Y ), X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol2( X )
% 0.79/1.24 Z := Y
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol17( Y, X )
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2482) {G1,W6,D3,L1,V2,M1} { skol17( Y, X ) = skol2( X ) }.
% 0.79/1.24 parent0[0]: (2481) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol17( Y, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (251) {G2,W6,D3,L1,V2,M1} R(115,6) { skol17( X, Y ) ==> skol2
% 0.79/1.24 ( Y ) }.
% 0.79/1.24 parent0: (2482) {G1,W6,D3,L1,V2,M1} { skol17( Y, X ) = skol2( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2485) {G2,W5,D3,L1,V1,M1} { r4( X, skol1, skol14( X ) ) }.
% 0.79/1.24 parent0[0]: (70) {G2,W4,D3,L1,V1,M1} R(67,1) { skol18( X ) ==> skol1 }.
% 0.79/1.24 parent1[0; 2]: (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ),
% 0.79/1.24 skol14( X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2486) {G3,W4,D2,L1,V1,M1} { r4( X, skol1, skol1 ) }.
% 0.79/1.24 parent0[0]: (69) {G2,W4,D3,L1,V1,M1} R(66,1) { skol14( X ) ==> skol1 }.
% 0.79/1.24 parent1[0; 3]: (2485) {G2,W5,D3,L1,V1,M1} { r4( X, skol1, skol14( X ) )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (320) {G3,W4,D2,L1,V1,M1} S(37);d(70);d(69) { r4( X, skol1,
% 0.79/1.24 skol1 ) }.
% 0.79/1.24 parent0: (2486) {G3,W4,D2,L1,V1,M1} { r4( X, skol1, skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2489) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 0.79/1.24 parent0[0]: (68) {G2,W4,D3,L1,V1,M1} R(65,1) { skol13( X ) ==> skol1 }.
% 0.79/1.24 parent1[0; 2]: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X )
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2490) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 0.79/1.24 parent0[0]: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.79/1.24 parent1[0; 3]: (2489) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (340) {G3,W4,D2,L1,V1,M1} S(32);d(68);d(33) { r3( X, skol1, X
% 0.79/1.24 ) }.
% 0.79/1.24 parent0: (2490) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2491) {G1,W5,D2,L1,V2,M1} { ! alpha3( X, skol1, Y, X ) }.
% 0.79/1.24 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 0.79/1.24 , T ) }.
% 0.79/1.24 parent1[0]: (340) {G3,W4,D2,L1,V1,M1} S(32);d(68);d(33) { r3( X, skol1, X )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol1
% 0.79/1.24 Z := Y
% 0.79/1.24 T := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (376) {G4,W5,D2,L1,V2,M1} R(340,12) { ! alpha3( X, skol1, Y, X
% 0.79/1.24 ) }.
% 0.79/1.24 parent0: (2491) {G1,W5,D2,L1,V2,M1} { ! alpha3( X, skol1, Y, X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2492) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 0.79/1.24 skol3( Y, Z ), X ) }.
% 0.79/1.24 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 0.79/1.24 , Z = skol3( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2493) {G1,W5,D3,L1,V1,M1} { skol3( X, skol1 ) = X }.
% 0.79/1.24 parent0[0]: (376) {G4,W5,D2,L1,V2,M1} R(340,12) { ! alpha3( X, skol1, Y, X
% 0.79/1.24 ) }.
% 0.79/1.24 parent1[1]: (2492) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 0.79/1.24 , skol3( Y, Z ), X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol3( X, skol1 )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := X
% 0.79/1.24 Z := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (387) {G5,W5,D3,L1,V1,M1} R(376,11) { skol3( X, skol1 ) ==> X
% 0.79/1.24 }.
% 0.79/1.24 parent0: (2493) {G1,W5,D3,L1,V1,M1} { skol3( X, skol1 ) = X }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2495) {G1,W5,D2,L1,V2,M1} { ! alpha4( X, skol1, Y, skol1 )
% 0.79/1.24 }.
% 0.79/1.24 parent0[1]: (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X, Y
% 0.79/1.24 , T ) }.
% 0.79/1.24 parent1[0]: (320) {G3,W4,D2,L1,V1,M1} S(37);d(70);d(69) { r4( X, skol1,
% 0.79/1.24 skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol1
% 0.79/1.24 Z := Y
% 0.79/1.24 T := skol1
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (395) {G4,W5,D2,L1,V2,M1} R(17,320) { ! alpha4( X, skol1, Y,
% 0.79/1.24 skol1 ) }.
% 0.79/1.24 parent0: (2495) {G1,W5,D2,L1,V2,M1} { ! alpha4( X, skol1, Y, skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2496) {G1,W7,D3,L1,V3,M1} { ! alpha4( X, Y, Z, skol20( X, Y )
% 0.79/1.24 ) }.
% 0.79/1.24 parent0[1]: (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X, Y
% 0.79/1.24 , T ) }.
% 0.79/1.24 parent1[0]: (29) {G0,W6,D3,L1,V2,M1} I { r4( X, Y, skol20( X, Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 T := skol20( X, Y )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (397) {G1,W7,D3,L1,V3,M1} R(17,29) { ! alpha4( X, Y, Z, skol20
% 0.79/1.24 ( X, Y ) ) }.
% 0.79/1.24 parent0: (2496) {G1,W7,D3,L1,V3,M1} { ! alpha4( X, Y, Z, skol20( X, Y ) )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2497) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z,
% 0.79/1.24 skol4( Y, Z ), X ) }.
% 0.79/1.24 parent0[1]: (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z )
% 0.79/1.24 , Z = skol4( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2498) {G1,W5,D3,L1,V1,M1} { skol4( X, skol1 ) = skol1 }.
% 0.79/1.24 parent0[0]: (395) {G4,W5,D2,L1,V2,M1} R(17,320) { ! alpha4( X, skol1, Y,
% 0.79/1.24 skol1 ) }.
% 0.79/1.24 parent1[1]: (2497) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z
% 0.79/1.24 , skol4( Y, Z ), X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol4( X, skol1 )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol1
% 0.79/1.24 Y := X
% 0.79/1.24 Z := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (398) {G5,W5,D3,L1,V1,M1} R(395,16) { skol4( X, skol1 ) ==>
% 0.79/1.24 skol1 }.
% 0.79/1.24 parent0: (2498) {G1,W5,D3,L1,V1,M1} { skol4( X, skol1 ) = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2502) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol12( X, Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (251) {G2,W6,D3,L1,V2,M1} R(115,6) { skol17( X, Y ) ==> skol2(
% 0.79/1.24 Y ) }.
% 0.79/1.24 parent1[0; 2]: (26) {G0,W8,D3,L1,V2,M1} I { r4( X, skol17( X, Y ), skol12(
% 0.79/1.24 X, Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2503) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol6( X, Y ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (27) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol6( X, Y )
% 0.79/1.24 }.
% 0.79/1.24 parent1[0; 4]: (2502) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol12( X,
% 0.79/1.24 Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (574) {G3,W7,D3,L1,V2,M1} S(26);d(251);d(27) { r4( X, skol2( Y
% 0.79/1.24 ), skol6( X, Y ) ) }.
% 0.79/1.24 parent0: (2503) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol6( X, Y ) )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2504) {G0,W14,D2,L5,V5,M5} { ! Y = X, ! r4( Z, T, X ), ! r1( U )
% 0.79/1.24 , ! r2( U, T ), ! r1( Y ) }.
% 0.79/1.24 parent0[4]: (44) {G0,W14,D2,L5,V5,M5} I { ! r4( Z, Y, X ), ! r1( T ), ! r2
% 0.79/1.24 ( T, Y ), ! r1( U ), ! X = U }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := T
% 0.79/1.24 Z := Z
% 0.79/1.24 T := U
% 0.79/1.24 U := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2505) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.79/1.24 parent0[0]: (71) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2506) {G1,W15,D2,L5,V5,M5} { ! X = Y, ! r4( Z, T, Y ), ! r2(
% 0.79/1.24 U, T ), ! r1( X ), ! skol1 = U }.
% 0.79/1.24 parent0[2]: (2504) {G0,W14,D2,L5,V5,M5} { ! Y = X, ! r4( Z, T, X ), ! r1(
% 0.79/1.24 U ), ! r2( U, T ), ! r1( Y ) }.
% 0.79/1.24 parent1[1]: (2505) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Z
% 0.79/1.24 T := T
% 0.79/1.24 U := U
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := U
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2512) {G1,W15,D2,L5,V5,M5} { ! X = skol1, ! Y = Z, ! r4( T, U, Z
% 0.79/1.24 ), ! r2( X, U ), ! r1( Y ) }.
% 0.79/1.24 parent0[4]: (2506) {G1,W15,D2,L5,V5,M5} { ! X = Y, ! r4( Z, T, Y ), ! r2(
% 0.79/1.24 U, T ), ! r1( X ), ! skol1 = U }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := T
% 0.79/1.24 T := U
% 0.79/1.24 U := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2513) {G1,W15,D2,L5,V5,M5} { ! Y = X, ! Z = skol1, ! r4( T, U, Y
% 0.79/1.24 ), ! r2( Z, U ), ! r1( X ) }.
% 0.79/1.24 parent0[1]: (2512) {G1,W15,D2,L5,V5,M5} { ! X = skol1, ! Y = Z, ! r4( T, U
% 0.79/1.24 , Z ), ! r2( X, U ), ! r1( Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Z
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Y
% 0.79/1.24 T := T
% 0.79/1.24 U := U
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1044) {G2,W15,D2,L5,V5,M5} R(44,71) { ! r4( X, Y, Z ), ! r2(
% 0.79/1.24 T, Y ), ! r1( U ), ! Z = U, ! T = skol1 }.
% 0.79/1.24 parent0: (2513) {G1,W15,D2,L5,V5,M5} { ! Y = X, ! Z = skol1, ! r4( T, U, Y
% 0.79/1.24 ), ! r2( Z, U ), ! r1( X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := U
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := T
% 0.79/1.24 T := X
% 0.79/1.24 U := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 3
% 0.79/1.24 1 ==> 4
% 0.79/1.24 2 ==> 0
% 0.79/1.24 3 ==> 1
% 0.79/1.24 4 ==> 2
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 factor: (2526) {G2,W12,D2,L4,V3,M4} { ! r4( X, Y, Z ), ! r2( Z, Y ), ! r1
% 0.79/1.24 ( skol1 ), ! Z = skol1 }.
% 0.79/1.24 parent0[3, 4]: (1044) {G2,W15,D2,L5,V5,M5} R(44,71) { ! r4( X, Y, Z ), ! r2
% 0.79/1.24 ( T, Y ), ! r1( U ), ! Z = U, ! T = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 T := Z
% 0.79/1.24 U := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2527) {G3,W10,D2,L3,V3,M3} { ! r4( X, Y, Z ), ! r2( Z, Y ), !
% 0.79/1.24 Z = skol1 }.
% 0.79/1.24 parent0[2]: (2526) {G2,W12,D2,L4,V3,M4} { ! r4( X, Y, Z ), ! r2( Z, Y ), !
% 0.79/1.24 r1( skol1 ), ! Z = skol1 }.
% 0.79/1.24 parent1[0]: (55) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1058) {G3,W10,D2,L3,V3,M3} F(1044);r(55) { ! r4( X, Y, Z ), !
% 0.79/1.24 r2( Z, Y ), ! Z = skol1 }.
% 0.79/1.24 parent0: (2527) {G3,W10,D2,L3,V3,M3} { ! r4( X, Y, Z ), ! r2( Z, Y ), ! Z
% 0.79/1.24 = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := Z
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 2 ==> 2
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2529) {G3,W10,D2,L3,V3,M3} { ! skol1 = X, ! r4( Y, Z, X ), ! r2(
% 0.79/1.24 X, Z ) }.
% 0.79/1.24 parent0[2]: (1058) {G3,W10,D2,L3,V3,M3} F(1044);r(55) { ! r4( X, Y, Z ), !
% 0.79/1.24 r2( Z, Y ), ! Z = skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqrefl: (2530) {G0,W7,D2,L2,V2,M2} { ! r4( X, Y, skol1 ), ! r2( skol1, Y )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (2529) {G3,W10,D2,L3,V3,M3} { ! skol1 = X, ! r4( Y, Z, X ), !
% 0.79/1.24 r2( X, Z ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1060) {G4,W7,D2,L2,V2,M2} Q(1058) { ! r4( X, Y, skol1 ), ! r2
% 0.79/1.24 ( skol1, Y ) }.
% 0.79/1.24 parent0: (2530) {G0,W7,D2,L2,V2,M2} { ! r4( X, Y, skol1 ), ! r2( skol1, Y
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 1 ==> 1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2531) {G3,W5,D3,L1,V1,M1} { ! r4( X, skol2( skol1 ), skol1 )
% 0.79/1.24 }.
% 0.79/1.24 parent0[1]: (1060) {G4,W7,D2,L2,V2,M2} Q(1058) { ! r4( X, Y, skol1 ), ! r2
% 0.79/1.24 ( skol1, Y ) }.
% 0.79/1.24 parent1[0]: (84) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol2( skol1 )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1264) {G5,W5,D3,L1,V1,M1} R(1060,84) { ! r4( X, skol2( skol1
% 0.79/1.24 ), skol1 ) }.
% 0.79/1.24 parent0: (2531) {G3,W5,D3,L1,V1,M1} { ! r4( X, skol2( skol1 ), skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2532) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z,
% 0.79/1.24 skol4( Y, Z ), X ) }.
% 0.79/1.24 parent0[1]: (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z )
% 0.79/1.24 , Z = skol4( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2533) {G1,W7,D3,L1,V2,M1} { skol4( X, Y ) = skol20( X, Y )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (397) {G1,W7,D3,L1,V3,M1} R(17,29) { ! alpha4( X, Y, Z, skol20
% 0.79/1.24 ( X, Y ) ) }.
% 0.79/1.24 parent1[1]: (2532) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z
% 0.79/1.24 , skol4( Y, Z ), X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 Z := skol4( X, Y )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol20( X, Y )
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1704) {G2,W7,D3,L1,V2,M1} R(397,16) { skol4( X, Y ) ==>
% 0.79/1.24 skol20( X, Y ) }.
% 0.79/1.24 parent0: (2533) {G1,W7,D3,L1,V2,M1} { skol4( X, Y ) = skol20( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2535) {G2,W7,D3,L1,V2,M1} { skol20( X, Y ) ==> skol4( X, Y ) }.
% 0.79/1.24 parent0[0]: (1704) {G2,W7,D3,L1,V2,M1} R(397,16) { skol4( X, Y ) ==> skol20
% 0.79/1.24 ( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2537) {G3,W5,D3,L1,V1,M1} { skol20( X, skol1 ) ==> skol1 }.
% 0.79/1.24 parent0[0]: (398) {G5,W5,D3,L1,V1,M1} R(395,16) { skol4( X, skol1 ) ==>
% 0.79/1.24 skol1 }.
% 0.79/1.24 parent1[0; 4]: (2535) {G2,W7,D3,L1,V2,M1} { skol20( X, Y ) ==> skol4( X, Y
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1782) {G6,W5,D3,L1,V1,M1} P(1704,398) { skol20( X, skol1 )
% 0.79/1.24 ==> skol1 }.
% 0.79/1.24 parent0: (2537) {G3,W5,D3,L1,V1,M1} { skol20( X, skol1 ) ==> skol1 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2540) {G1,W6,D3,L1,V1,M1} { r3( skol1, X, skol6( X, skol1 ) )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (1782) {G6,W5,D3,L1,V1,M1} P(1704,398) { skol20( X, skol1 ) ==>
% 0.79/1.24 skol1 }.
% 0.79/1.24 parent1[0; 1]: (28) {G0,W8,D3,L1,V2,M1} I { r3( skol20( X, Y ), X, skol6( X
% 0.79/1.24 , Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1784) {G7,W6,D3,L1,V1,M1} P(1782,28) { r3( skol1, X, skol6( X
% 0.79/1.24 , skol1 ) ) }.
% 0.79/1.24 parent0: (2540) {G1,W6,D3,L1,V1,M1} { r3( skol1, X, skol6( X, skol1 ) )
% 0.79/1.24 }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2541) {G1,W7,D3,L1,V2,M1} { ! alpha3( skol1, X, Y, skol6( X,
% 0.79/1.24 skol1 ) ) }.
% 0.79/1.24 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 0.79/1.24 , T ) }.
% 0.79/1.24 parent1[0]: (1784) {G7,W6,D3,L1,V1,M1} P(1782,28) { r3( skol1, X, skol6( X
% 0.79/1.24 , skol1 ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 Y := X
% 0.79/1.24 Z := Y
% 0.79/1.24 T := skol6( X, skol1 )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1794) {G8,W7,D3,L1,V2,M1} R(1784,12) { ! alpha3( skol1, X, Y
% 0.79/1.24 , skol6( X, skol1 ) ) }.
% 0.79/1.24 parent0: (2541) {G1,W7,D3,L1,V2,M1} { ! alpha3( skol1, X, Y, skol6( X,
% 0.79/1.24 skol1 ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := Y
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2542) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 0.79/1.24 skol3( Y, Z ), X ) }.
% 0.79/1.24 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 0.79/1.24 , Z = skol3( X, Y ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := Y
% 0.79/1.24 Y := Z
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2543) {G1,W7,D3,L1,V1,M1} { skol3( skol1, X ) = skol6( X,
% 0.79/1.24 skol1 ) }.
% 0.79/1.24 parent0[0]: (1794) {G8,W7,D3,L1,V2,M1} R(1784,12) { ! alpha3( skol1, X, Y,
% 0.79/1.24 skol6( X, skol1 ) ) }.
% 0.79/1.24 parent1[1]: (2542) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 0.79/1.24 , skol3( Y, Z ), X ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol3( skol1, X )
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol6( X, skol1 )
% 0.79/1.24 Y := skol1
% 0.79/1.24 Z := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 eqswap: (2544) {G1,W7,D3,L1,V1,M1} { skol6( X, skol1 ) = skol3( skol1, X )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (2543) {G1,W7,D3,L1,V1,M1} { skol3( skol1, X ) = skol6( X,
% 0.79/1.24 skol1 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (1895) {G9,W7,D3,L1,V1,M1} R(1794,11) { skol6( X, skol1 ) ==>
% 0.79/1.24 skol3( skol1, X ) }.
% 0.79/1.24 parent0: (2544) {G1,W7,D3,L1,V1,M1} { skol6( X, skol1 ) = skol3( skol1, X
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2546) {G4,W7,D3,L1,V1,M1} { r4( X, skol2( skol1 ), skol3( skol1
% 0.79/1.24 , X ) ) }.
% 0.79/1.24 parent0[0]: (1895) {G9,W7,D3,L1,V1,M1} R(1794,11) { skol6( X, skol1 ) ==>
% 0.79/1.24 skol3( skol1, X ) }.
% 0.79/1.24 parent1[0; 4]: (574) {G3,W7,D3,L1,V2,M1} S(26);d(251);d(27) { r4( X, skol2
% 0.79/1.24 ( Y ), skol6( X, Y ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := X
% 0.79/1.24 Y := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (2074) {G10,W7,D3,L1,V1,M1} P(1895,574) { r4( X, skol2( skol1
% 0.79/1.24 ), skol3( skol1, X ) ) }.
% 0.79/1.24 parent0: (2546) {G4,W7,D3,L1,V1,M1} { r4( X, skol2( skol1 ), skol3( skol1
% 0.79/1.24 , X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := X
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 0 ==> 0
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 paramod: (2548) {G6,W5,D3,L1,V0,M1} { r4( skol1, skol2( skol1 ), skol1 )
% 0.79/1.24 }.
% 0.79/1.24 parent0[0]: (387) {G5,W5,D3,L1,V1,M1} R(376,11) { skol3( X, skol1 ) ==> X
% 0.79/1.24 }.
% 0.79/1.24 parent1[0; 4]: (2074) {G10,W7,D3,L1,V1,M1} P(1895,574) { r4( X, skol2(
% 0.79/1.24 skol1 ), skol3( skol1, X ) ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 X := skol1
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 resolution: (2549) {G6,W0,D0,L0,V0,M0} { }.
% 0.79/1.24 parent0[0]: (1264) {G5,W5,D3,L1,V1,M1} R(1060,84) { ! r4( X, skol2( skol1 )
% 0.79/1.24 , skol1 ) }.
% 0.79/1.24 parent1[0]: (2548) {G6,W5,D3,L1,V0,M1} { r4( skol1, skol2( skol1 ), skol1
% 0.79/1.24 ) }.
% 0.79/1.24 substitution0:
% 0.79/1.24 X := skol1
% 0.79/1.24 end
% 0.79/1.24 substitution1:
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 subsumption: (2103) {G11,W0,D0,L0,V0,M0} P(387,2074);r(1264) { }.
% 0.79/1.24 parent0: (2549) {G6,W0,D0,L0,V0,M0} { }.
% 0.79/1.24 substitution0:
% 0.79/1.24 end
% 0.79/1.24 permutation0:
% 0.79/1.24 end
% 0.79/1.24
% 0.79/1.24 Proof check complete!
% 0.79/1.24
% 0.79/1.24 Memory use:
% 0.79/1.24
% 0.79/1.24 space for terms: 26970
% 0.79/1.24 space for clauses: 94320
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 clauses generated: 7307
% 0.79/1.24 clauses kept: 2104
% 0.79/1.24 clauses selected: 211
% 0.79/1.24 clauses deleted: 56
% 0.79/1.24 clauses inuse deleted: 37
% 0.79/1.24
% 0.79/1.24 subsentry: 13531
% 0.79/1.24 literals s-matched: 10784
% 0.79/1.24 literals matched: 10531
% 0.79/1.24 full subsumption: 3996
% 0.79/1.24
% 0.79/1.24 checksum: -435741889
% 0.79/1.24
% 0.79/1.24
% 0.79/1.24 Bliksem ended
%------------------------------------------------------------------------------