TSTP Solution File: LAT382+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Sun Jul 17 03:51:50 EDT 2022
% Result : Theorem 0.82s 1.21s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 28 19:06:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.21 *** allocated 10000 integers for termspace/termends
% 0.82/1.21 *** allocated 10000 integers for clauses
% 0.82/1.21 *** allocated 10000 integers for justifications
% 0.82/1.21 Bliksem 1.12
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Automatic Strategy Selection
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Clauses:
% 0.82/1.21
% 0.82/1.21 { && }.
% 0.82/1.21 { && }.
% 0.82/1.21 { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0( Y ) }.
% 0.82/1.21 { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0( Y, X ) }.
% 0.82/1.21 { ! aSet0( X ), aElementOf0( skol1( X ), X ), isEmpty0( X ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X, Y ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.82/1.21 { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), aElementOf0( Z, X ) }.
% 0.82/1.21 { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.82/1.21 { ! aElementOf0( skol2( X, Y ), X ), alpha1( X, Y ) }.
% 0.82/1.21 { && }.
% 0.82/1.21 { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.82/1.21 { ! aElement0( X ), ! aElement0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y
% 0.82/1.21 , X ), X = Y }.
% 0.82/1.21 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), ! sdtlseqdt0( X, Y
% 0.82/1.21 ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ),
% 0.82/1.21 aElementOf0( Z, X ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aLowerBoundOfIn0( Z, Y, X ), alpha2
% 0.82/1.21 ( Y, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha2( Y, Z
% 0.82/1.21 ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 { ! alpha2( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Y, Z ) }.
% 0.82/1.21 { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X, Y ) }.
% 0.82/1.21 { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ),
% 0.82/1.21 aElementOf0( Z, X ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aUpperBoundOfIn0( Z, Y, X ), alpha3
% 0.82/1.21 ( Y, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha3( Y, Z
% 0.82/1.21 ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 { ! alpha3( X, Y ), ! aElementOf0( Z, X ), sdtlseqdt0( Z, Y ) }.
% 0.82/1.21 { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X, Y ) }.
% 0.82/1.21 { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ),
% 0.82/1.21 aElementOf0( Z, X ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X
% 0.82/1.21 , Y, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha4( X, Y
% 0.82/1.21 , Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.82/1.21 { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.82/1.21 { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha6( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.82/1.21 { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }
% 0.82/1.21 .
% 0.82/1.21 { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha6( X, Y, Z ) }.
% 0.82/1.21 { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ), alpha6( X, Y, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ),
% 0.82/1.21 aElementOf0( Z, X ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), alpha5(
% 0.82/1.21 X, Y, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aElementOf0( Z, X ), ! alpha5( X, Y
% 0.82/1.21 , Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.82/1.21 { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.82/1.21 { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha7( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.82/1.21 { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T, Y, X ), sdtlseqdt0( Z, T ) }
% 0.82/1.21 .
% 0.82/1.21 { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha7( X, Y, Z ) }.
% 0.82/1.21 { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ), alpha7( X, Y, Z ) }.
% 0.82/1.21 { ! aSet0( X ), ! aSubsetOf0( Y, X ), ! aSupremumOfIn0( Z, Y, X ), !
% 0.82/1.21 aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.82/1.21 { aSet0( xT ) }.
% 0.82/1.21 { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 { ! xu = xv }.
% 0.82/1.21
% 0.82/1.21 percentage equality = 0.020833, percentage horn = 0.877551
% 0.82/1.21 This is a problem with some equality
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Options Used:
% 0.82/1.21
% 0.82/1.21 useres = 1
% 0.82/1.21 useparamod = 1
% 0.82/1.21 useeqrefl = 1
% 0.82/1.21 useeqfact = 1
% 0.82/1.21 usefactor = 1
% 0.82/1.21 usesimpsplitting = 0
% 0.82/1.21 usesimpdemod = 5
% 0.82/1.21 usesimpres = 3
% 0.82/1.21
% 0.82/1.21 resimpinuse = 1000
% 0.82/1.21 resimpclauses = 20000
% 0.82/1.21 substype = eqrewr
% 0.82/1.21 backwardsubs = 1
% 0.82/1.21 selectoldest = 5
% 0.82/1.21
% 0.82/1.21 litorderings [0] = split
% 0.82/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.21
% 0.82/1.21 termordering = kbo
% 0.82/1.21
% 0.82/1.21 litapriori = 0
% 0.82/1.21 termapriori = 1
% 0.82/1.21 litaposteriori = 0
% 0.82/1.21 termaposteriori = 0
% 0.82/1.21 demodaposteriori = 0
% 0.82/1.21 ordereqreflfact = 0
% 0.82/1.21
% 0.82/1.21 litselect = negord
% 0.82/1.21
% 0.82/1.21 maxweight = 15
% 0.82/1.21 maxdepth = 30000
% 0.82/1.21 maxlength = 115
% 0.82/1.21 maxnrvars = 195
% 0.82/1.21 excuselevel = 1
% 0.82/1.21 increasemaxweight = 1
% 0.82/1.21
% 0.82/1.21 maxselected = 10000000
% 0.82/1.21 maxnrclauses = 10000000
% 0.82/1.21
% 0.82/1.21 showgenerated = 0
% 0.82/1.21 showkept = 0
% 0.82/1.21 showselected = 0
% 0.82/1.21 showdeleted = 0
% 0.82/1.21 showresimp = 1
% 0.82/1.21 showstatus = 2000
% 0.82/1.21
% 0.82/1.21 prologoutput = 0
% 0.82/1.21 nrgoals = 5000000
% 0.82/1.21 totalproof = 1
% 0.82/1.21
% 0.82/1.21 Symbols occurring in the translation:
% 0.82/1.21
% 0.82/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.21 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.82/1.21 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.82/1.21 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.82/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.21 aSet0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.82/1.21 aElement0 [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.82/1.21 aElementOf0 [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.82/1.21 isEmpty0 [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.82/1.21 aSubsetOf0 [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.82/1.21 sdtlseqdt0 [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.82/1.21 aLowerBoundOfIn0 [44, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.82/1.21 aUpperBoundOfIn0 [46, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.82/1.21 aInfimumOfIn0 [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.82/1.21 aSupremumOfIn0 [48, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.82/1.21 xT [49, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.82/1.21 xS [50, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.82/1.21 xu [51, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.82/1.21 xv [52, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.82/1.21 alpha1 [53, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.82/1.21 alpha2 [54, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.82/1.21 alpha3 [55, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.82/1.21 alpha4 [56, 3] (w:1, o:60, a:1, s:1, b:1),
% 0.82/1.21 alpha5 [57, 3] (w:1, o:61, a:1, s:1, b:1),
% 0.82/1.21 alpha6 [58, 3] (w:1, o:62, a:1, s:1, b:1),
% 0.82/1.21 alpha7 [59, 3] (w:1, o:63, a:1, s:1, b:1),
% 0.82/1.21 skol1 [60, 1] (w:1, o:22, a:1, s:1, b:1),
% 0.82/1.21 skol2 [61, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.82/1.21 skol3 [62, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.82/1.21 skol4 [63, 2] (w:1, o:55, a:1, s:1, b:1),
% 0.82/1.21 skol5 [64, 3] (w:1, o:64, a:1, s:1, b:1),
% 0.82/1.21 skol6 [65, 3] (w:1, o:65, a:1, s:1, b:1).
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Starting Search:
% 0.82/1.21
% 0.82/1.21 *** allocated 15000 integers for clauses
% 0.82/1.21 *** allocated 22500 integers for clauses
% 0.82/1.21 *** allocated 33750 integers for clauses
% 0.82/1.21 *** allocated 15000 integers for termspace/termends
% 0.82/1.21 *** allocated 50625 integers for clauses
% 0.82/1.21 Resimplifying inuse:
% 0.82/1.21 Done
% 0.82/1.21
% 0.82/1.21 *** allocated 22500 integers for termspace/termends
% 0.82/1.21 *** allocated 75937 integers for clauses
% 0.82/1.21 *** allocated 33750 integers for termspace/termends
% 0.82/1.21 *** allocated 113905 integers for clauses
% 0.82/1.21
% 0.82/1.21 Intermediate Status:
% 0.82/1.21 Generated: 6704
% 0.82/1.21 Kept: 2001
% 0.82/1.21 Inuse: 320
% 0.82/1.21 Deleted: 51
% 0.82/1.21 Deletedinuse: 31
% 0.82/1.21
% 0.82/1.21 Resimplifying inuse:
% 0.82/1.21 Done
% 0.82/1.21
% 0.82/1.21 *** allocated 50625 integers for termspace/termends
% 0.82/1.21 *** allocated 170857 integers for clauses
% 0.82/1.21
% 0.82/1.21 Bliksems!, er is een bewijs:
% 0.82/1.21 % SZS status Theorem
% 0.82/1.21 % SZS output start Refutation
% 0.82/1.21
% 0.82/1.21 (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0
% 0.82/1.21 ( Y ) }.
% 0.82/1.21 (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y ), !
% 0.82/1.21 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.82/1.21 (25) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 (26) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.82/1.21 (28) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y, X
% 0.82/1.21 ) }.
% 0.82/1.21 (29) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.82/1.21 (31) {G0,W11,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T, Y
% 0.82/1.21 , X ), sdtlseqdt0( T, Z ) }.
% 0.82/1.21 (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 (45) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 (46) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 (47) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 (48) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.82/1.21 (50) {G1,W5,D2,L2,V1,M2} R(1,44) { ! aElementOf0( X, xT ), aElement0( X )
% 0.82/1.21 }.
% 0.82/1.21 (611) {G1,W6,D2,L2,V0,M2} R(25,46);r(44) { ! aSubsetOf0( xS, xT ),
% 0.82/1.21 aElementOf0( xu, xT ) }.
% 0.82/1.21 (613) {G1,W6,D2,L2,V0,M2} R(25,47);r(44) { ! aSubsetOf0( xS, xT ),
% 0.82/1.21 aElementOf0( xv, xT ) }.
% 0.82/1.21 (616) {G2,W3,D2,L1,V0,M1} S(611);r(45) { aElementOf0( xu, xT ) }.
% 0.82/1.21 (625) {G3,W2,D2,L1,V0,M1} R(616,50) { aElement0( xu ) }.
% 0.82/1.21 (644) {G1,W7,D2,L2,V0,M2} R(26,46);r(44) { ! aSubsetOf0( xS, xT ), alpha4(
% 0.82/1.21 xT, xS, xu ) }.
% 0.82/1.21 (645) {G1,W7,D2,L2,V0,M2} R(26,47);r(44) { ! aSubsetOf0( xS, xT ), alpha4(
% 0.82/1.21 xT, xS, xv ) }.
% 0.82/1.21 (767) {G2,W3,D2,L1,V0,M1} S(613);r(45) { aElementOf0( xv, xT ) }.
% 0.82/1.21 (775) {G3,W2,D2,L1,V0,M1} R(767,50) { aElement0( xv ) }.
% 0.82/1.21 (1282) {G2,W4,D2,L1,V0,M1} S(644);r(45) { alpha4( xT, xS, xu ) }.
% 0.82/1.21 (1290) {G3,W4,D2,L1,V0,M1} R(1282,29) { alpha6( xT, xS, xu ) }.
% 0.82/1.21 (1291) {G3,W4,D2,L1,V0,M1} R(1282,28) { aLowerBoundOfIn0( xu, xS, xT ) }.
% 0.82/1.21 (1294) {G4,W7,D2,L2,V1,M2} R(1290,31) { ! aLowerBoundOfIn0( X, xS, xT ),
% 0.82/1.21 sdtlseqdt0( X, xu ) }.
% 0.82/1.21 (1295) {G4,W7,D2,L2,V1,M2} R(1291,31) { ! alpha6( xT, xS, X ), sdtlseqdt0(
% 0.82/1.21 xu, X ) }.
% 0.82/1.21 (1427) {G5,W7,D2,L2,V1,M2} R(1295,29) { sdtlseqdt0( xu, X ), ! alpha4( xT,
% 0.82/1.21 xS, X ) }.
% 0.82/1.21 (1452) {G5,W7,D2,L2,V1,M2} R(1294,28) { sdtlseqdt0( X, xu ), ! alpha4( xT,
% 0.82/1.21 xS, X ) }.
% 0.82/1.21 (1468) {G2,W4,D2,L1,V0,M1} S(645);r(45) { alpha4( xT, xS, xv ) }.
% 0.82/1.21 (1469) {G6,W3,D2,L1,V0,M1} R(1468,1452) { sdtlseqdt0( xv, xu ) }.
% 0.82/1.21 (1470) {G6,W3,D2,L1,V0,M1} R(1468,1427) { sdtlseqdt0( xu, xv ) }.
% 0.82/1.21 (1486) {G7,W8,D2,L3,V0,M3} R(1470,11);r(625) { ! aElement0( xv ), !
% 0.82/1.21 sdtlseqdt0( xv, xu ), xv ==> xu }.
% 0.82/1.21 (2976) {G8,W0,D0,L0,V0,M0} S(1486);r(775);r(1469);r(48) { }.
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 % SZS output end Refutation
% 0.82/1.21 found a proof!
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Unprocessed initial clauses:
% 0.82/1.21
% 0.82/1.21 (2978) {G0,W1,D1,L1,V0,M1} { && }.
% 0.82/1.21 (2979) {G0,W1,D1,L1,V0,M1} { && }.
% 0.82/1.21 (2980) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X ),
% 0.82/1.21 aElement0( Y ) }.
% 0.82/1.21 (2981) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! isEmpty0( X ), ! aElementOf0
% 0.82/1.21 ( Y, X ) }.
% 0.82/1.21 (2982) {G0,W8,D3,L3,V1,M3} { ! aSet0( X ), aElementOf0( skol1( X ), X ),
% 0.82/1.21 isEmpty0( X ) }.
% 0.82/1.21 (2983) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y
% 0.82/1.21 ) }.
% 0.82/1.21 (2984) {G0,W8,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X
% 0.82/1.21 , Y ) }.
% 0.82/1.21 (2985) {G0,W10,D2,L4,V2,M4} { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y )
% 0.82/1.21 , aSubsetOf0( Y, X ) }.
% 0.82/1.21 (2986) {G0,W9,D2,L3,V3,M3} { ! alpha1( X, Y ), ! aElementOf0( Z, Y ),
% 0.82/1.21 aElementOf0( Z, X ) }.
% 0.82/1.21 (2987) {G0,W8,D3,L2,V3,M2} { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y
% 0.82/1.21 ) }.
% 0.82/1.21 (2988) {G0,W8,D3,L2,V2,M2} { ! aElementOf0( skol2( X, Y ), X ), alpha1( X
% 0.82/1.21 , Y ) }.
% 0.82/1.21 (2989) {G0,W1,D1,L1,V0,M1} { && }.
% 0.82/1.21 (2990) {G0,W5,D2,L2,V1,M2} { ! aElement0( X ), sdtlseqdt0( X, X ) }.
% 0.82/1.21 (2991) {G0,W13,D2,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y ), !
% 0.82/1.21 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.82/1.21 (2992) {G0,W15,D2,L6,V3,M6} { ! aElement0( X ), ! aElement0( Y ), !
% 0.82/1.21 aElement0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X
% 0.82/1.21 , Z ) }.
% 0.82/1.21 (2993) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aLowerBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 (2994) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aLowerBoundOfIn0( Z, Y, X ), alpha2( Y, Z ) }.
% 0.82/1.21 (2995) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aElementOf0( Z, X ), ! alpha2( Y, Z ), aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 (2996) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! aElementOf0( Z, X ),
% 0.82/1.21 sdtlseqdt0( Y, Z ) }.
% 0.82/1.21 (2997) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( Y, skol3( Z, Y ) ), alpha2( X,
% 0.82/1.21 Y ) }.
% 0.82/1.21 (2998) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol3( X, Y ), X ), alpha2( X, Y
% 0.82/1.21 ) }.
% 0.82/1.21 (2999) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aUpperBoundOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 (3000) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aUpperBoundOfIn0( Z, Y, X ), alpha3( Y, Z ) }.
% 0.82/1.21 (3001) {G0,W15,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aElementOf0( Z, X ), ! alpha3( Y, Z ), aUpperBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 (3002) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! aElementOf0( Z, X ),
% 0.82/1.21 sdtlseqdt0( Z, Y ) }.
% 0.82/1.21 (3003) {G0,W8,D3,L2,V3,M2} { ! sdtlseqdt0( skol4( Z, Y ), Y ), alpha3( X,
% 0.82/1.21 Y ) }.
% 0.82/1.21 (3004) {G0,W8,D3,L2,V2,M2} { aElementOf0( skol4( X, Y ), X ), alpha3( X, Y
% 0.82/1.21 ) }.
% 0.82/1.21 (3005) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 (3006) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.82/1.21 (3007) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aElementOf0( Z, X ), ! alpha4( X, Y, Z ), aInfimumOfIn0( Z, Y, X ) }.
% 0.82/1.21 (3008) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), aLowerBoundOfIn0( Z, Y,
% 0.82/1.21 X ) }.
% 0.82/1.21 (3009) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.82/1.21 (3010) {G0,W12,D2,L3,V3,M3} { ! aLowerBoundOfIn0( Z, Y, X ), ! alpha6( X,
% 0.82/1.21 Y, Z ), alpha4( X, Y, Z ) }.
% 0.82/1.21 (3011) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! aLowerBoundOfIn0( T,
% 0.82/1.21 Y, X ), sdtlseqdt0( T, Z ) }.
% 0.82/1.21 (3012) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( skol5( T, U, Z ), Z ), alpha6
% 0.82/1.21 ( X, Y, Z ) }.
% 0.82/1.21 (3013) {G0,W11,D3,L2,V3,M2} { aLowerBoundOfIn0( skol5( X, Y, Z ), Y, X ),
% 0.82/1.21 alpha6( X, Y, Z ) }.
% 0.82/1.21 (3014) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aSupremumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 (3015) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aSupremumOfIn0( Z, Y, X ), alpha5( X, Y, Z ) }.
% 0.82/1.21 (3016) {G0,W16,D2,L5,V3,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aElementOf0( Z, X ), ! alpha5( X, Y, Z ), aSupremumOfIn0( Z, Y, X ) }.
% 0.82/1.21 (3017) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), aUpperBoundOfIn0( Z, Y,
% 0.82/1.21 X ) }.
% 0.82/1.21 (3018) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.82/1.21 (3019) {G0,W12,D2,L3,V3,M3} { ! aUpperBoundOfIn0( Z, Y, X ), ! alpha7( X,
% 0.82/1.21 Y, Z ), alpha5( X, Y, Z ) }.
% 0.82/1.21 (3020) {G0,W11,D2,L3,V4,M3} { ! alpha7( X, Y, Z ), ! aUpperBoundOfIn0( T,
% 0.82/1.21 Y, X ), sdtlseqdt0( Z, T ) }.
% 0.82/1.21 (3021) {G0,W10,D3,L2,V5,M2} { ! sdtlseqdt0( Z, skol6( T, U, Z ) ), alpha7
% 0.82/1.21 ( X, Y, Z ) }.
% 0.82/1.21 (3022) {G0,W11,D3,L2,V3,M2} { aUpperBoundOfIn0( skol6( X, Y, Z ), Y, X ),
% 0.82/1.21 alpha7( X, Y, Z ) }.
% 0.82/1.21 (3023) {G0,W16,D2,L5,V4,M5} { ! aSet0( X ), ! aSubsetOf0( Y, X ), !
% 0.82/1.21 aSupremumOfIn0( Z, Y, X ), ! aSupremumOfIn0( T, Y, X ), Z = T }.
% 0.82/1.21 (3024) {G0,W2,D2,L1,V0,M1} { aSet0( xT ) }.
% 0.82/1.21 (3025) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 (3026) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 (3027) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 (3028) {G0,W3,D2,L1,V0,M1} { ! xu = xv }.
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Total Proof:
% 0.82/1.21
% 0.82/1.21 subsumption: (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X
% 0.82/1.21 ), aElement0( Y ) }.
% 0.82/1.21 parent0: (2980) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X )
% 0.82/1.21 , aElement0( Y ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 2 ==> 2
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y
% 0.82/1.21 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.82/1.21 parent0: (2991) {G0,W13,D2,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y )
% 0.82/1.21 , ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 2 ==> 2
% 0.82/1.21 3 ==> 3
% 0.82/1.21 4 ==> 4
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (25) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.82/1.21 ), ! aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 parent0: (3005) {G0,W12,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.82/1.21 , ! aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 Z := Z
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 2 ==> 2
% 0.82/1.21 3 ==> 3
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (26) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.82/1.21 ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.82/1.21 parent0: (3006) {G0,W13,D2,L4,V3,M4} { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.82/1.21 , ! aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 Z := Z
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 2 ==> 2
% 0.82/1.21 3 ==> 3
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (28) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ),
% 0.82/1.21 aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 parent0: (3008) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ),
% 0.82/1.21 aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 Z := Z
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (29) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha6( X, Y
% 0.82/1.21 , Z ) }.
% 0.82/1.21 parent0: (3009) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha6( X, Y, Z
% 0.82/1.21 ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 Z := Z
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (31) {G0,W11,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), !
% 0.82/1.21 aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }.
% 0.82/1.21 parent0: (3011) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), !
% 0.82/1.21 aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 Y := Y
% 0.82/1.21 Z := Z
% 0.82/1.21 T := T
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 2 ==> 2
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 parent0: (3024) {G0,W2,D2,L1,V0,M1} { aSet0( xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (45) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 parent0: (3025) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (46) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 parent0: (3026) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (47) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 parent0: (3027) {G0,W4,D2,L1,V0,M1} { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 eqswap: (3138) {G0,W3,D2,L1,V0,M1} { ! xv = xu }.
% 0.82/1.21 parent0[0]: (3028) {G0,W3,D2,L1,V0,M1} { ! xu = xv }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (48) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.82/1.21 parent0: (3138) {G0,W3,D2,L1,V0,M1} { ! xv = xu }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3139) {G1,W5,D2,L2,V1,M2} { ! aElementOf0( X, xT ), aElement0
% 0.82/1.21 ( X ) }.
% 0.82/1.21 parent0[0]: (1) {G0,W7,D2,L3,V2,M3} I { ! aSet0( X ), ! aElementOf0( Y, X )
% 0.82/1.21 , aElement0( Y ) }.
% 0.82/1.21 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := X
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (50) {G1,W5,D2,L2,V1,M2} R(1,44) { ! aElementOf0( X, xT ),
% 0.82/1.21 aElement0( X ) }.
% 0.82/1.21 parent0: (3139) {G1,W5,D2,L2,V1,M2} { ! aElementOf0( X, xT ), aElement0( X
% 0.82/1.21 ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3140) {G1,W8,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), aElementOf0( xu, xT ) }.
% 0.82/1.21 parent0[2]: (25) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.82/1.21 ), ! aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 parent1[0]: (46) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xu
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3141) {G1,W6,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ),
% 0.82/1.21 aElementOf0( xu, xT ) }.
% 0.82/1.21 parent0[0]: (3140) {G1,W8,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), aElementOf0( xu, xT ) }.
% 0.82/1.21 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (611) {G1,W6,D2,L2,V0,M2} R(25,46);r(44) { ! aSubsetOf0( xS,
% 0.82/1.21 xT ), aElementOf0( xu, xT ) }.
% 0.82/1.21 parent0: (3141) {G1,W6,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ), aElementOf0
% 0.82/1.21 ( xu, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3142) {G1,W8,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), aElementOf0( xv, xT ) }.
% 0.82/1.21 parent0[2]: (25) {G0,W12,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.82/1.21 ), ! aInfimumOfIn0( Z, Y, X ), aElementOf0( Z, X ) }.
% 0.82/1.21 parent1[0]: (47) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xv
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3143) {G1,W6,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ),
% 0.82/1.21 aElementOf0( xv, xT ) }.
% 0.82/1.21 parent0[0]: (3142) {G1,W8,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), aElementOf0( xv, xT ) }.
% 0.82/1.21 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (613) {G1,W6,D2,L2,V0,M2} R(25,47);r(44) { ! aSubsetOf0( xS,
% 0.82/1.21 xT ), aElementOf0( xv, xT ) }.
% 0.82/1.21 parent0: (3143) {G1,W6,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ), aElementOf0
% 0.82/1.21 ( xv, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3144) {G1,W3,D2,L1,V0,M1} { aElementOf0( xu, xT ) }.
% 0.82/1.21 parent0[0]: (611) {G1,W6,D2,L2,V0,M2} R(25,46);r(44) { ! aSubsetOf0( xS, xT
% 0.82/1.21 ), aElementOf0( xu, xT ) }.
% 0.82/1.21 parent1[0]: (45) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (616) {G2,W3,D2,L1,V0,M1} S(611);r(45) { aElementOf0( xu, xT )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3144) {G1,W3,D2,L1,V0,M1} { aElementOf0( xu, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3145) {G2,W2,D2,L1,V0,M1} { aElement0( xu ) }.
% 0.82/1.21 parent0[0]: (50) {G1,W5,D2,L2,V1,M2} R(1,44) { ! aElementOf0( X, xT ),
% 0.82/1.21 aElement0( X ) }.
% 0.82/1.21 parent1[0]: (616) {G2,W3,D2,L1,V0,M1} S(611);r(45) { aElementOf0( xu, xT )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xu
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (625) {G3,W2,D2,L1,V0,M1} R(616,50) { aElement0( xu ) }.
% 0.82/1.21 parent0: (3145) {G2,W2,D2,L1,V0,M1} { aElement0( xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3146) {G1,W9,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), alpha4( xT, xS, xu ) }.
% 0.82/1.21 parent0[2]: (26) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.82/1.21 ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.82/1.21 parent1[0]: (46) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xu, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xu
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3147) {G1,W7,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ), alpha4(
% 0.82/1.21 xT, xS, xu ) }.
% 0.82/1.21 parent0[0]: (3146) {G1,W9,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), alpha4( xT, xS, xu ) }.
% 0.82/1.21 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (644) {G1,W7,D2,L2,V0,M2} R(26,46);r(44) { ! aSubsetOf0( xS,
% 0.82/1.21 xT ), alpha4( xT, xS, xu ) }.
% 0.82/1.21 parent0: (3147) {G1,W7,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ), alpha4( xT,
% 0.82/1.21 xS, xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3148) {G1,W9,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), alpha4( xT, xS, xv ) }.
% 0.82/1.21 parent0[2]: (26) {G0,W13,D2,L4,V3,M4} I { ! aSet0( X ), ! aSubsetOf0( Y, X
% 0.82/1.21 ), ! aInfimumOfIn0( Z, Y, X ), alpha4( X, Y, Z ) }.
% 0.82/1.21 parent1[0]: (47) {G0,W4,D2,L1,V0,M1} I { aInfimumOfIn0( xv, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xv
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3149) {G1,W7,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ), alpha4(
% 0.82/1.21 xT, xS, xv ) }.
% 0.82/1.21 parent0[0]: (3148) {G1,W9,D2,L3,V0,M3} { ! aSet0( xT ), ! aSubsetOf0( xS,
% 0.82/1.21 xT ), alpha4( xT, xS, xv ) }.
% 0.82/1.21 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { aSet0( xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (645) {G1,W7,D2,L2,V0,M2} R(26,47);r(44) { ! aSubsetOf0( xS,
% 0.82/1.21 xT ), alpha4( xT, xS, xv ) }.
% 0.82/1.21 parent0: (3149) {G1,W7,D2,L2,V0,M2} { ! aSubsetOf0( xS, xT ), alpha4( xT,
% 0.82/1.21 xS, xv ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3150) {G1,W3,D2,L1,V0,M1} { aElementOf0( xv, xT ) }.
% 0.82/1.21 parent0[0]: (613) {G1,W6,D2,L2,V0,M2} R(25,47);r(44) { ! aSubsetOf0( xS, xT
% 0.82/1.21 ), aElementOf0( xv, xT ) }.
% 0.82/1.21 parent1[0]: (45) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (767) {G2,W3,D2,L1,V0,M1} S(613);r(45) { aElementOf0( xv, xT )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3150) {G1,W3,D2,L1,V0,M1} { aElementOf0( xv, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3151) {G2,W2,D2,L1,V0,M1} { aElement0( xv ) }.
% 0.82/1.21 parent0[0]: (50) {G1,W5,D2,L2,V1,M2} R(1,44) { ! aElementOf0( X, xT ),
% 0.82/1.21 aElement0( X ) }.
% 0.82/1.21 parent1[0]: (767) {G2,W3,D2,L1,V0,M1} S(613);r(45) { aElementOf0( xv, xT )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xv
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (775) {G3,W2,D2,L1,V0,M1} R(767,50) { aElement0( xv ) }.
% 0.82/1.21 parent0: (3151) {G2,W2,D2,L1,V0,M1} { aElement0( xv ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3152) {G1,W4,D2,L1,V0,M1} { alpha4( xT, xS, xu ) }.
% 0.82/1.21 parent0[0]: (644) {G1,W7,D2,L2,V0,M2} R(26,46);r(44) { ! aSubsetOf0( xS, xT
% 0.82/1.21 ), alpha4( xT, xS, xu ) }.
% 0.82/1.21 parent1[0]: (45) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1282) {G2,W4,D2,L1,V0,M1} S(644);r(45) { alpha4( xT, xS, xu )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3152) {G1,W4,D2,L1,V0,M1} { alpha4( xT, xS, xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3153) {G1,W4,D2,L1,V0,M1} { alpha6( xT, xS, xu ) }.
% 0.82/1.21 parent0[0]: (29) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha6( X, Y
% 0.82/1.21 , Z ) }.
% 0.82/1.21 parent1[0]: (1282) {G2,W4,D2,L1,V0,M1} S(644);r(45) { alpha4( xT, xS, xu )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xu
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1290) {G3,W4,D2,L1,V0,M1} R(1282,29) { alpha6( xT, xS, xu )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3153) {G1,W4,D2,L1,V0,M1} { alpha6( xT, xS, xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3154) {G1,W4,D2,L1,V0,M1} { aLowerBoundOfIn0( xu, xS, xT )
% 0.82/1.21 }.
% 0.82/1.21 parent0[0]: (28) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ),
% 0.82/1.21 aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 parent1[0]: (1282) {G2,W4,D2,L1,V0,M1} S(644);r(45) { alpha4( xT, xS, xu )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xu
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1291) {G3,W4,D2,L1,V0,M1} R(1282,28) { aLowerBoundOfIn0( xu,
% 0.82/1.21 xS, xT ) }.
% 0.82/1.21 parent0: (3154) {G1,W4,D2,L1,V0,M1} { aLowerBoundOfIn0( xu, xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3155) {G1,W7,D2,L2,V1,M2} { ! aLowerBoundOfIn0( X, xS, xT ),
% 0.82/1.21 sdtlseqdt0( X, xu ) }.
% 0.82/1.21 parent0[0]: (31) {G0,W11,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), !
% 0.82/1.21 aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }.
% 0.82/1.21 parent1[0]: (1290) {G3,W4,D2,L1,V0,M1} R(1282,29) { alpha6( xT, xS, xu )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := xu
% 0.82/1.21 T := X
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1294) {G4,W7,D2,L2,V1,M2} R(1290,31) { ! aLowerBoundOfIn0( X
% 0.82/1.21 , xS, xT ), sdtlseqdt0( X, xu ) }.
% 0.82/1.21 parent0: (3155) {G1,W7,D2,L2,V1,M2} { ! aLowerBoundOfIn0( X, xS, xT ),
% 0.82/1.21 sdtlseqdt0( X, xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3156) {G1,W7,D2,L2,V1,M2} { ! alpha6( xT, xS, X ), sdtlseqdt0
% 0.82/1.21 ( xu, X ) }.
% 0.82/1.21 parent0[1]: (31) {G0,W11,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), !
% 0.82/1.21 aLowerBoundOfIn0( T, Y, X ), sdtlseqdt0( T, Z ) }.
% 0.82/1.21 parent1[0]: (1291) {G3,W4,D2,L1,V0,M1} R(1282,28) { aLowerBoundOfIn0( xu,
% 0.82/1.21 xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := X
% 0.82/1.21 T := xu
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1295) {G4,W7,D2,L2,V1,M2} R(1291,31) { ! alpha6( xT, xS, X )
% 0.82/1.21 , sdtlseqdt0( xu, X ) }.
% 0.82/1.21 parent0: (3156) {G1,W7,D2,L2,V1,M2} { ! alpha6( xT, xS, X ), sdtlseqdt0(
% 0.82/1.21 xu, X ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3157) {G1,W7,D2,L2,V1,M2} { sdtlseqdt0( xu, X ), ! alpha4( xT
% 0.82/1.21 , xS, X ) }.
% 0.82/1.21 parent0[0]: (1295) {G4,W7,D2,L2,V1,M2} R(1291,31) { ! alpha6( xT, xS, X ),
% 0.82/1.21 sdtlseqdt0( xu, X ) }.
% 0.82/1.21 parent1[1]: (29) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha6( X, Y
% 0.82/1.21 , Z ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := X
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1427) {G5,W7,D2,L2,V1,M2} R(1295,29) { sdtlseqdt0( xu, X ), !
% 0.82/1.21 alpha4( xT, xS, X ) }.
% 0.82/1.21 parent0: (3157) {G1,W7,D2,L2,V1,M2} { sdtlseqdt0( xu, X ), ! alpha4( xT,
% 0.82/1.21 xS, X ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3158) {G1,W7,D2,L2,V1,M2} { sdtlseqdt0( X, xu ), ! alpha4( xT
% 0.82/1.21 , xS, X ) }.
% 0.82/1.21 parent0[0]: (1294) {G4,W7,D2,L2,V1,M2} R(1290,31) { ! aLowerBoundOfIn0( X,
% 0.82/1.21 xS, xT ), sdtlseqdt0( X, xu ) }.
% 0.82/1.21 parent1[1]: (28) {G0,W8,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ),
% 0.82/1.21 aLowerBoundOfIn0( Z, Y, X ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 X := xT
% 0.82/1.21 Y := xS
% 0.82/1.21 Z := X
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1452) {G5,W7,D2,L2,V1,M2} R(1294,28) { sdtlseqdt0( X, xu ), !
% 0.82/1.21 alpha4( xT, xS, X ) }.
% 0.82/1.21 parent0: (3158) {G1,W7,D2,L2,V1,M2} { sdtlseqdt0( X, xu ), ! alpha4( xT,
% 0.82/1.21 xS, X ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := X
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 1 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3159) {G1,W4,D2,L1,V0,M1} { alpha4( xT, xS, xv ) }.
% 0.82/1.21 parent0[0]: (645) {G1,W7,D2,L2,V0,M2} R(26,47);r(44) { ! aSubsetOf0( xS, xT
% 0.82/1.21 ), alpha4( xT, xS, xv ) }.
% 0.82/1.21 parent1[0]: (45) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xS, xT ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1468) {G2,W4,D2,L1,V0,M1} S(645);r(45) { alpha4( xT, xS, xv )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3159) {G1,W4,D2,L1,V0,M1} { alpha4( xT, xS, xv ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3160) {G3,W3,D2,L1,V0,M1} { sdtlseqdt0( xv, xu ) }.
% 0.82/1.21 parent0[1]: (1452) {G5,W7,D2,L2,V1,M2} R(1294,28) { sdtlseqdt0( X, xu ), !
% 0.82/1.21 alpha4( xT, xS, X ) }.
% 0.82/1.21 parent1[0]: (1468) {G2,W4,D2,L1,V0,M1} S(645);r(45) { alpha4( xT, xS, xv )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xv
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1469) {G6,W3,D2,L1,V0,M1} R(1468,1452) { sdtlseqdt0( xv, xu )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3160) {G3,W3,D2,L1,V0,M1} { sdtlseqdt0( xv, xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3161) {G3,W3,D2,L1,V0,M1} { sdtlseqdt0( xu, xv ) }.
% 0.82/1.21 parent0[1]: (1427) {G5,W7,D2,L2,V1,M2} R(1295,29) { sdtlseqdt0( xu, X ), !
% 0.82/1.21 alpha4( xT, xS, X ) }.
% 0.82/1.21 parent1[0]: (1468) {G2,W4,D2,L1,V0,M1} S(645);r(45) { alpha4( xT, xS, xv )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xv
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1470) {G6,W3,D2,L1,V0,M1} R(1468,1427) { sdtlseqdt0( xu, xv )
% 0.82/1.21 }.
% 0.82/1.21 parent0: (3161) {G3,W3,D2,L1,V0,M1} { sdtlseqdt0( xu, xv ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 0
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3162) {G1,W10,D2,L4,V0,M4} { ! aElement0( xu ), ! aElement0(
% 0.82/1.21 xv ), ! sdtlseqdt0( xv, xu ), xu = xv }.
% 0.82/1.21 parent0[2]: (11) {G0,W13,D2,L5,V2,M5} I { ! aElement0( X ), ! aElement0( Y
% 0.82/1.21 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.82/1.21 parent1[0]: (1470) {G6,W3,D2,L1,V0,M1} R(1468,1427) { sdtlseqdt0( xu, xv )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 X := xu
% 0.82/1.21 Y := xv
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3164) {G2,W8,D2,L3,V0,M3} { ! aElement0( xv ), ! sdtlseqdt0(
% 0.82/1.21 xv, xu ), xu = xv }.
% 0.82/1.21 parent0[0]: (3162) {G1,W10,D2,L4,V0,M4} { ! aElement0( xu ), ! aElement0(
% 0.82/1.21 xv ), ! sdtlseqdt0( xv, xu ), xu = xv }.
% 0.82/1.21 parent1[0]: (625) {G3,W2,D2,L1,V0,M1} R(616,50) { aElement0( xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 eqswap: (3165) {G2,W8,D2,L3,V0,M3} { xv = xu, ! aElement0( xv ), !
% 0.82/1.21 sdtlseqdt0( xv, xu ) }.
% 0.82/1.21 parent0[2]: (3164) {G2,W8,D2,L3,V0,M3} { ! aElement0( xv ), ! sdtlseqdt0(
% 0.82/1.21 xv, xu ), xu = xv }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (1486) {G7,W8,D2,L3,V0,M3} R(1470,11);r(625) { ! aElement0( xv
% 0.82/1.21 ), ! sdtlseqdt0( xv, xu ), xv ==> xu }.
% 0.82/1.21 parent0: (3165) {G2,W8,D2,L3,V0,M3} { xv = xu, ! aElement0( xv ), !
% 0.82/1.21 sdtlseqdt0( xv, xu ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 0 ==> 2
% 0.82/1.21 1 ==> 0
% 0.82/1.21 2 ==> 1
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3168) {G4,W6,D2,L2,V0,M2} { ! sdtlseqdt0( xv, xu ), xv ==> xu
% 0.82/1.21 }.
% 0.82/1.21 parent0[0]: (1486) {G7,W8,D2,L3,V0,M3} R(1470,11);r(625) { ! aElement0( xv
% 0.82/1.21 ), ! sdtlseqdt0( xv, xu ), xv ==> xu }.
% 0.82/1.21 parent1[0]: (775) {G3,W2,D2,L1,V0,M1} R(767,50) { aElement0( xv ) }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3169) {G5,W3,D2,L1,V0,M1} { xv ==> xu }.
% 0.82/1.21 parent0[0]: (3168) {G4,W6,D2,L2,V0,M2} { ! sdtlseqdt0( xv, xu ), xv ==> xu
% 0.82/1.21 }.
% 0.82/1.21 parent1[0]: (1469) {G6,W3,D2,L1,V0,M1} R(1468,1452) { sdtlseqdt0( xv, xu )
% 0.82/1.21 }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 resolution: (3170) {G1,W0,D0,L0,V0,M0} { }.
% 0.82/1.21 parent0[0]: (48) {G0,W3,D2,L1,V0,M1} I { ! xv ==> xu }.
% 0.82/1.21 parent1[0]: (3169) {G5,W3,D2,L1,V0,M1} { xv ==> xu }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 substitution1:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 subsumption: (2976) {G8,W0,D0,L0,V0,M0} S(1486);r(775);r(1469);r(48) { }.
% 0.82/1.21 parent0: (3170) {G1,W0,D0,L0,V0,M0} { }.
% 0.82/1.21 substitution0:
% 0.82/1.21 end
% 0.82/1.21 permutation0:
% 0.82/1.21 end
% 0.82/1.21
% 0.82/1.21 Proof check complete!
% 0.82/1.21
% 0.82/1.21 Memory use:
% 0.82/1.21
% 0.82/1.21 space for terms: 42131
% 0.82/1.21 space for clauses: 116780
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 clauses generated: 12896
% 0.82/1.21 clauses kept: 2977
% 0.82/1.21 clauses selected: 426
% 0.82/1.21 clauses deleted: 65
% 0.82/1.21 clauses inuse deleted: 33
% 0.82/1.21
% 0.82/1.21 subsentry: 17736
% 0.82/1.21 literals s-matched: 13761
% 0.82/1.21 literals matched: 11314
% 0.82/1.21 full subsumption: 1562
% 0.82/1.21
% 0.82/1.21 checksum: -516690750
% 0.82/1.21
% 0.82/1.21
% 0.82/1.21 Bliksem ended
%------------------------------------------------------------------------------