TSTP Solution File: COM012+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Fri Jul 15 00:51:05 EDT 2022
% Result : Theorem 0.97s 1.36s
% Output : Refutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Thu Jun 16 19:41:31 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.97/1.36 *** allocated 10000 integers for termspace/termends
% 0.97/1.36 *** allocated 10000 integers for clauses
% 0.97/1.36 *** allocated 10000 integers for justifications
% 0.97/1.36 Bliksem 1.12
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Automatic Strategy Selection
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Clauses:
% 0.97/1.36
% 0.97/1.36 { && }.
% 0.97/1.36 { && }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aReductOfIn0( Z, X, Y ),
% 0.97/1.36 aElement0( Z ) }.
% 0.97/1.36 { && }.
% 0.97/1.36 { && }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.97/1.36 sdtmndtplgtdt0( X, Y, Z ), aReductOfIn0( Z, X, Y ), alpha1( X, Y, Z ) }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.97/1.36 aReductOfIn0( Z, X, Y ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! alpha1( X
% 0.97/1.36 , Y, Z ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.97/1.36 { ! alpha1( X, Y, Z ), aElement0( skol1( T, U, W ) ) }.
% 0.97/1.36 { ! alpha1( X, Y, Z ), alpha2( X, Y, Z, skol1( X, Y, Z ) ) }.
% 0.97/1.36 { ! aElement0( T ), ! alpha2( X, Y, Z, T ), alpha1( X, Y, Z ) }.
% 0.97/1.36 { ! alpha2( X, Y, Z, T ), aReductOfIn0( T, X, Y ) }.
% 0.97/1.36 { ! alpha2( X, Y, Z, T ), sdtmndtplgtdt0( T, Y, Z ) }.
% 0.97/1.36 { ! aReductOfIn0( T, X, Y ), ! sdtmndtplgtdt0( T, Y, Z ), alpha2( X, Y, Z,
% 0.97/1.36 T ) }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0
% 0.97/1.36 ( T ), ! sdtmndtplgtdt0( X, Y, Z ), ! sdtmndtplgtdt0( Z, Y, T ),
% 0.97/1.36 sdtmndtplgtdt0( X, Y, T ) }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.97/1.36 sdtmndtasgtdt0( X, Y, Z ), X = Z, sdtmndtplgtdt0( X, Y, Z ) }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! X = Z,
% 0.97/1.36 sdtmndtasgtdt0( X, Y, Z ) }.
% 0.97/1.36 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.97/1.36 sdtmndtplgtdt0( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z ) }.
% 0.97/1.36 { aElement0( xx ) }.
% 0.97/1.36 { aRewritingSystem0( xR ) }.
% 0.97/1.36 { aElement0( xy ) }.
% 0.97/1.36 { aElement0( xz ) }.
% 0.97/1.36 { alpha3 }.
% 0.97/1.36 { sdtmndtasgtdt0( xx, xR, xy ) }.
% 0.97/1.36 { xy = xz, aReductOfIn0( xz, xy, xR ), alpha4 }.
% 0.97/1.36 { xy = xz, sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 { sdtmndtasgtdt0( xy, xR, xz ) }.
% 0.97/1.36 { ! xx = xz }.
% 0.97/1.36 { ! aReductOfIn0( xz, xx, xR ) }.
% 0.97/1.36 { ! aElement0( X ), ! aReductOfIn0( X, xx, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.97/1.36 xz ) }.
% 0.97/1.36 { ! sdtmndtplgtdt0( xx, xR, xz ) }.
% 0.97/1.36 { ! sdtmndtasgtdt0( xx, xR, xz ) }.
% 0.97/1.36 { ! alpha4, aElement0( skol2 ) }.
% 0.97/1.36 { ! alpha4, aReductOfIn0( skol2, xy, xR ) }.
% 0.97/1.36 { ! alpha4, sdtmndtplgtdt0( skol2, xR, xz ) }.
% 0.97/1.36 { ! aElement0( X ), ! aReductOfIn0( X, xy, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.97/1.36 xz ), alpha4 }.
% 0.97/1.36 { ! alpha3, xx = xy, alpha5 }.
% 0.97/1.36 { ! xx = xy, alpha3 }.
% 0.97/1.36 { ! alpha5, alpha3 }.
% 0.97/1.36 { ! alpha5, alpha6 }.
% 0.97/1.36 { ! alpha5, sdtmndtplgtdt0( xx, xR, xy ) }.
% 0.97/1.36 { ! alpha6, ! sdtmndtplgtdt0( xx, xR, xy ), alpha5 }.
% 0.97/1.36 { ! alpha6, aReductOfIn0( xy, xx, xR ), alpha7 }.
% 0.97/1.36 { ! aReductOfIn0( xy, xx, xR ), alpha6 }.
% 0.97/1.36 { ! alpha7, alpha6 }.
% 0.97/1.36 { ! alpha7, aElement0( skol3 ) }.
% 0.97/1.36 { ! alpha7, aReductOfIn0( skol3, xx, xR ) }.
% 0.97/1.36 { ! alpha7, sdtmndtplgtdt0( skol3, xR, xy ) }.
% 0.97/1.36 { ! aElement0( X ), ! aReductOfIn0( X, xx, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.97/1.36 xy ), alpha7 }.
% 0.97/1.36
% 0.97/1.36 percentage equality = 0.052632, percentage horn = 0.863636
% 0.97/1.36 This is a problem with some equality
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Options Used:
% 0.97/1.36
% 0.97/1.36 useres = 1
% 0.97/1.36 useparamod = 1
% 0.97/1.36 useeqrefl = 1
% 0.97/1.36 useeqfact = 1
% 0.97/1.36 usefactor = 1
% 0.97/1.36 usesimpsplitting = 0
% 0.97/1.36 usesimpdemod = 5
% 0.97/1.36 usesimpres = 3
% 0.97/1.36
% 0.97/1.36 resimpinuse = 1000
% 0.97/1.36 resimpclauses = 20000
% 0.97/1.36 substype = eqrewr
% 0.97/1.36 backwardsubs = 1
% 0.97/1.36 selectoldest = 5
% 0.97/1.36
% 0.97/1.36 litorderings [0] = split
% 0.97/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.36
% 0.97/1.36 termordering = kbo
% 0.97/1.36
% 0.97/1.36 litapriori = 0
% 0.97/1.36 termapriori = 1
% 0.97/1.36 litaposteriori = 0
% 0.97/1.36 termaposteriori = 0
% 0.97/1.36 demodaposteriori = 0
% 0.97/1.36 ordereqreflfact = 0
% 0.97/1.36
% 0.97/1.36 litselect = negord
% 0.97/1.36
% 0.97/1.36 maxweight = 15
% 0.97/1.36 maxdepth = 30000
% 0.97/1.36 maxlength = 115
% 0.97/1.36 maxnrvars = 195
% 0.97/1.36 excuselevel = 1
% 0.97/1.36 increasemaxweight = 1
% 0.97/1.36
% 0.97/1.36 maxselected = 10000000
% 0.97/1.36 maxnrclauses = 10000000
% 0.97/1.36
% 0.97/1.36 showgenerated = 0
% 0.97/1.36 showkept = 0
% 0.97/1.36 showselected = 0
% 0.97/1.36 showdeleted = 0
% 0.97/1.36 showresimp = 1
% 0.97/1.36 showstatus = 2000
% 0.97/1.36
% 0.97/1.36 prologoutput = 0
% 0.97/1.36 nrgoals = 5000000
% 0.97/1.36 totalproof = 1
% 0.97/1.36
% 0.97/1.36 Symbols occurring in the translation:
% 0.97/1.36
% 0.97/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.97/1.36 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.97/1.36 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.97/1.36 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.97/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.36 aElement0 [36, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.97/1.36 aRewritingSystem0 [37, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.97/1.36 aReductOfIn0 [40, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.97/1.36 sdtmndtplgtdt0 [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.97/1.36 sdtmndtasgtdt0 [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.97/1.36 xx [45, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.97/1.36 xR [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.97/1.36 xy [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.97/1.36 xz [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.97/1.36 alpha1 [49, 3] (w:1, o:56, a:1, s:1, b:1),
% 0.97/1.36 alpha2 [50, 4] (w:1, o:58, a:1, s:1, b:1),
% 0.97/1.36 alpha3 [51, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.97/1.36 alpha4 [52, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.97/1.36 alpha5 [53, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.97/1.36 alpha6 [54, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.97/1.36 alpha7 [55, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.97/1.36 skol1 [56, 3] (w:1, o:57, a:1, s:1, b:1),
% 0.97/1.36 skol2 [57, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.97/1.36 skol3 [58, 0] (w:1, o:20, a:1, s:1, b:1).
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Starting Search:
% 0.97/1.36
% 0.97/1.36 *** allocated 15000 integers for clauses
% 0.97/1.36 *** allocated 22500 integers for clauses
% 0.97/1.36 *** allocated 33750 integers for clauses
% 0.97/1.36 *** allocated 15000 integers for termspace/termends
% 0.97/1.36 *** allocated 50625 integers for clauses
% 0.97/1.36 *** allocated 22500 integers for termspace/termends
% 0.97/1.36 Resimplifying inuse:
% 0.97/1.36 Done
% 0.97/1.36
% 0.97/1.36 *** allocated 75937 integers for clauses
% 0.97/1.36 *** allocated 33750 integers for termspace/termends
% 0.97/1.36 *** allocated 113905 integers for clauses
% 0.97/1.36
% 0.97/1.36 Intermediate Status:
% 0.97/1.36 Generated: 12582
% 0.97/1.36 Kept: 2000
% 0.97/1.36 Inuse: 372
% 0.97/1.36 Deleted: 96
% 0.97/1.36 Deletedinuse: 20
% 0.97/1.36
% 0.97/1.36 Resimplifying inuse:
% 0.97/1.36 Done
% 0.97/1.36
% 0.97/1.36 *** allocated 50625 integers for termspace/termends
% 0.97/1.36 *** allocated 170857 integers for clauses
% 0.97/1.36 Resimplifying inuse:
% 0.97/1.36 Done
% 0.97/1.36
% 0.97/1.36 *** allocated 75937 integers for termspace/termends
% 0.97/1.36
% 0.97/1.36 Intermediate Status:
% 0.97/1.36 Generated: 32744
% 0.97/1.36 Kept: 4039
% 0.97/1.36 Inuse: 632
% 0.97/1.36 Deleted: 146
% 0.97/1.36 Deletedinuse: 30
% 0.97/1.36
% 0.97/1.36 Resimplifying inuse:
% 0.97/1.36
% 0.97/1.36 Bliksems!, er is een bewijs:
% 0.97/1.36 % SZS status Theorem
% 0.97/1.36 % SZS output start Refutation
% 0.97/1.36
% 0.97/1.36 (11) {G0,W20,D2,L7,V4,M7} I { ! aElement0( X ), ! aRewritingSystem0( Y ), !
% 0.97/1.36 aElement0( Z ), ! aElement0( T ), ! sdtmndtplgtdt0( X, Y, Z ), !
% 0.97/1.36 sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X, Y, T ) }.
% 0.97/1.36 (15) {G0,W2,D2,L1,V0,M1} I { aElement0( xx ) }.
% 0.97/1.36 (16) {G0,W2,D2,L1,V0,M1} I { aRewritingSystem0( xR ) }.
% 0.97/1.36 (17) {G0,W2,D2,L1,V0,M1} I { aElement0( xy ) }.
% 0.97/1.36 (18) {G0,W2,D2,L1,V0,M1} I { aElement0( xz ) }.
% 0.97/1.36 (19) {G0,W1,D1,L1,V0,M1} I { alpha3 }.
% 0.97/1.36 (22) {G0,W7,D2,L2,V0,M2} I { xz ==> xy, sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 (23) {G0,W4,D2,L1,V0,M1} I { sdtmndtasgtdt0( xy, xR, xz ) }.
% 0.97/1.36 (27) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtplgtdt0( xx, xR, xz ) }.
% 0.97/1.36 (28) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtasgtdt0( xx, xR, xz ) }.
% 0.97/1.36 (33) {G1,W4,D2,L2,V0,M2} I;r(19) { xy ==> xx, alpha5 }.
% 0.97/1.36 (35) {G0,W5,D2,L2,V0,M2} I { ! alpha5, sdtmndtplgtdt0( xx, xR, xy ) }.
% 0.97/1.36 (88) {G2,W1,D1,L1,V0,M1} P(33,23);r(28) { alpha5 }.
% 0.97/1.36 (114) {G3,W4,D2,L1,V0,M1} S(35);r(88) { sdtmndtplgtdt0( xx, xR, xy ) }.
% 0.97/1.36 (141) {G4,W4,D2,L1,V0,M1} P(22,27);r(114) { sdtmndtplgtdt0( xy, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 (209) {G4,W14,D2,L5,V1,M5} R(11,114);r(15) { ! aRewritingSystem0( xR ), !
% 0.97/1.36 aElement0( xy ), ! aElement0( X ), ! sdtmndtplgtdt0( xy, xR, X ),
% 0.97/1.36 sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 (3966) {G5,W10,D2,L3,V1,M3} S(209);r(16);r(17) { ! aElement0( X ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 (4037) {G6,W4,D2,L1,V0,M1} R(3966,27);r(18) { ! sdtmndtplgtdt0( xy, xR, xz
% 0.97/1.36 ) }.
% 0.97/1.36 (4039) {G7,W0,D0,L0,V0,M0} S(141);r(4037) { }.
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 % SZS output end Refutation
% 0.97/1.36 found a proof!
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Unprocessed initial clauses:
% 0.97/1.36
% 0.97/1.36 (4041) {G0,W1,D1,L1,V0,M1} { && }.
% 0.97/1.36 (4042) {G0,W1,D1,L1,V0,M1} { && }.
% 0.97/1.36 (4043) {G0,W10,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aReductOfIn0( Z, X, Y ), aElement0( Z ) }.
% 0.97/1.36 (4044) {G0,W1,D1,L1,V0,M1} { && }.
% 0.97/1.36 (4045) {G0,W1,D1,L1,V0,M1} { && }.
% 0.97/1.36 (4046) {G0,W18,D2,L6,V3,M6} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! sdtmndtplgtdt0( X, Y, Z ), aReductOfIn0( Z, X, Y ),
% 0.97/1.36 alpha1( X, Y, Z ) }.
% 0.97/1.36 (4047) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! aReductOfIn0( Z, X, Y ), sdtmndtplgtdt0( X, Y, Z )
% 0.97/1.36 }.
% 0.97/1.36 (4048) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! alpha1( X, Y, Z ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.97/1.36 (4049) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), aElement0( skol1( T, U,
% 0.97/1.36 W ) ) }.
% 0.97/1.36 (4050) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha2( X, Y, Z, skol1
% 0.97/1.36 ( X, Y, Z ) ) }.
% 0.97/1.36 (4051) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha2( X, Y, Z, T ),
% 0.97/1.36 alpha1( X, Y, Z ) }.
% 0.97/1.36 (4052) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), aReductOfIn0( T, X, Y
% 0.97/1.36 ) }.
% 0.97/1.36 (4053) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), sdtmndtplgtdt0( T, Y
% 0.97/1.36 , Z ) }.
% 0.97/1.36 (4054) {G0,W13,D2,L3,V4,M3} { ! aReductOfIn0( T, X, Y ), ! sdtmndtplgtdt0
% 0.97/1.36 ( T, Y, Z ), alpha2( X, Y, Z, T ) }.
% 0.97/1.36 (4055) {G0,W20,D2,L7,V4,M7} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! aElement0( T ), ! sdtmndtplgtdt0( X, Y, Z ), !
% 0.97/1.36 sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X, Y, T ) }.
% 0.97/1.36 (4056) {G0,W17,D2,L6,V3,M6} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! sdtmndtasgtdt0( X, Y, Z ), X = Z, sdtmndtplgtdt0( X,
% 0.97/1.36 Y, Z ) }.
% 0.97/1.36 (4057) {G0,W13,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! X = Z, sdtmndtasgtdt0( X, Y, Z ) }.
% 0.97/1.36 (4058) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.97/1.36 ! aElement0( Z ), ! sdtmndtplgtdt0( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z )
% 0.97/1.36 }.
% 0.97/1.36 (4059) {G0,W2,D2,L1,V0,M1} { aElement0( xx ) }.
% 0.97/1.36 (4060) {G0,W2,D2,L1,V0,M1} { aRewritingSystem0( xR ) }.
% 0.97/1.36 (4061) {G0,W2,D2,L1,V0,M1} { aElement0( xy ) }.
% 0.97/1.36 (4062) {G0,W2,D2,L1,V0,M1} { aElement0( xz ) }.
% 0.97/1.36 (4063) {G0,W1,D1,L1,V0,M1} { alpha3 }.
% 0.97/1.36 (4064) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xx, xR, xy ) }.
% 0.97/1.36 (4065) {G0,W8,D2,L3,V0,M3} { xy = xz, aReductOfIn0( xz, xy, xR ), alpha4
% 0.97/1.36 }.
% 0.97/1.36 (4066) {G0,W7,D2,L2,V0,M2} { xy = xz, sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 (4067) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xy, xR, xz ) }.
% 0.97/1.36 (4068) {G0,W3,D2,L1,V0,M1} { ! xx = xz }.
% 0.97/1.36 (4069) {G0,W4,D2,L1,V0,M1} { ! aReductOfIn0( xz, xx, xR ) }.
% 0.97/1.36 (4070) {G0,W10,D2,L3,V1,M3} { ! aElement0( X ), ! aReductOfIn0( X, xx, xR
% 0.97/1.36 ), ! sdtmndtplgtdt0( X, xR, xz ) }.
% 0.97/1.36 (4071) {G0,W4,D2,L1,V0,M1} { ! sdtmndtplgtdt0( xx, xR, xz ) }.
% 0.97/1.36 (4072) {G0,W4,D2,L1,V0,M1} { ! sdtmndtasgtdt0( xx, xR, xz ) }.
% 0.97/1.36 (4073) {G0,W3,D2,L2,V0,M2} { ! alpha4, aElement0( skol2 ) }.
% 0.97/1.36 (4074) {G0,W5,D2,L2,V0,M2} { ! alpha4, aReductOfIn0( skol2, xy, xR ) }.
% 0.97/1.36 (4075) {G0,W5,D2,L2,V0,M2} { ! alpha4, sdtmndtplgtdt0( skol2, xR, xz ) }.
% 0.97/1.36 (4076) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xy, xR
% 0.97/1.36 ), ! sdtmndtplgtdt0( X, xR, xz ), alpha4 }.
% 0.97/1.36 (4077) {G0,W5,D2,L3,V0,M3} { ! alpha3, xx = xy, alpha5 }.
% 0.97/1.36 (4078) {G0,W4,D2,L2,V0,M2} { ! xx = xy, alpha3 }.
% 0.97/1.36 (4079) {G0,W2,D1,L2,V0,M2} { ! alpha5, alpha3 }.
% 0.97/1.36 (4080) {G0,W2,D1,L2,V0,M2} { ! alpha5, alpha6 }.
% 0.97/1.36 (4081) {G0,W5,D2,L2,V0,M2} { ! alpha5, sdtmndtplgtdt0( xx, xR, xy ) }.
% 0.97/1.36 (4082) {G0,W6,D2,L3,V0,M3} { ! alpha6, ! sdtmndtplgtdt0( xx, xR, xy ),
% 0.97/1.36 alpha5 }.
% 0.97/1.36 (4083) {G0,W6,D2,L3,V0,M3} { ! alpha6, aReductOfIn0( xy, xx, xR ), alpha7
% 0.97/1.36 }.
% 0.97/1.36 (4084) {G0,W5,D2,L2,V0,M2} { ! aReductOfIn0( xy, xx, xR ), alpha6 }.
% 0.97/1.36 (4085) {G0,W2,D1,L2,V0,M2} { ! alpha7, alpha6 }.
% 0.97/1.36 (4086) {G0,W3,D2,L2,V0,M2} { ! alpha7, aElement0( skol3 ) }.
% 0.97/1.36 (4087) {G0,W5,D2,L2,V0,M2} { ! alpha7, aReductOfIn0( skol3, xx, xR ) }.
% 0.97/1.36 (4088) {G0,W5,D2,L2,V0,M2} { ! alpha7, sdtmndtplgtdt0( skol3, xR, xy ) }.
% 0.97/1.36 (4089) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xx, xR
% 0.97/1.36 ), ! sdtmndtplgtdt0( X, xR, xy ), alpha7 }.
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Total Proof:
% 0.97/1.36
% 0.97/1.36 subsumption: (11) {G0,W20,D2,L7,V4,M7} I { ! aElement0( X ), !
% 0.97/1.36 aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0( T ), !
% 0.97/1.36 sdtmndtplgtdt0( X, Y, Z ), ! sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X
% 0.97/1.36 , Y, T ) }.
% 0.97/1.36 parent0: (4055) {G0,W20,D2,L7,V4,M7} { ! aElement0( X ), !
% 0.97/1.36 aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0( T ), !
% 0.97/1.36 sdtmndtplgtdt0( X, Y, Z ), ! sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X
% 0.97/1.36 , Y, T ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := X
% 0.97/1.36 Y := Y
% 0.97/1.36 Z := Z
% 0.97/1.36 T := T
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 1 ==> 1
% 0.97/1.36 2 ==> 2
% 0.97/1.36 3 ==> 3
% 0.97/1.36 4 ==> 4
% 0.97/1.36 5 ==> 5
% 0.97/1.36 6 ==> 6
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (15) {G0,W2,D2,L1,V0,M1} I { aElement0( xx ) }.
% 0.97/1.36 parent0: (4059) {G0,W2,D2,L1,V0,M1} { aElement0( xx ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (16) {G0,W2,D2,L1,V0,M1} I { aRewritingSystem0( xR ) }.
% 0.97/1.36 parent0: (4060) {G0,W2,D2,L1,V0,M1} { aRewritingSystem0( xR ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (17) {G0,W2,D2,L1,V0,M1} I { aElement0( xy ) }.
% 0.97/1.36 parent0: (4061) {G0,W2,D2,L1,V0,M1} { aElement0( xy ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (18) {G0,W2,D2,L1,V0,M1} I { aElement0( xz ) }.
% 0.97/1.36 parent0: (4062) {G0,W2,D2,L1,V0,M1} { aElement0( xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (19) {G0,W1,D1,L1,V0,M1} I { alpha3 }.
% 0.97/1.36 parent0: (4063) {G0,W1,D1,L1,V0,M1} { alpha3 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 eqswap: (4184) {G0,W7,D2,L2,V0,M2} { xz = xy, sdtmndtplgtdt0( xy, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 parent0[0]: (4066) {G0,W7,D2,L2,V0,M2} { xy = xz, sdtmndtplgtdt0( xy, xR,
% 0.97/1.36 xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (22) {G0,W7,D2,L2,V0,M2} I { xz ==> xy, sdtmndtplgtdt0( xy, xR
% 0.97/1.36 , xz ) }.
% 0.97/1.36 parent0: (4184) {G0,W7,D2,L2,V0,M2} { xz = xy, sdtmndtplgtdt0( xy, xR, xz
% 0.97/1.36 ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 1 ==> 1
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (23) {G0,W4,D2,L1,V0,M1} I { sdtmndtasgtdt0( xy, xR, xz ) }.
% 0.97/1.36 parent0: (4067) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xy, xR, xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (27) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtplgtdt0( xx, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 parent0: (4071) {G0,W4,D2,L1,V0,M1} { ! sdtmndtplgtdt0( xx, xR, xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (28) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtasgtdt0( xx, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 parent0: (4072) {G0,W4,D2,L1,V0,M1} { ! sdtmndtasgtdt0( xx, xR, xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4253) {G1,W4,D2,L2,V0,M2} { xx = xy, alpha5 }.
% 0.97/1.36 parent0[0]: (4077) {G0,W5,D2,L3,V0,M3} { ! alpha3, xx = xy, alpha5 }.
% 0.97/1.36 parent1[0]: (19) {G0,W1,D1,L1,V0,M1} I { alpha3 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 eqswap: (4254) {G1,W4,D2,L2,V0,M2} { xy = xx, alpha5 }.
% 0.97/1.36 parent0[0]: (4253) {G1,W4,D2,L2,V0,M2} { xx = xy, alpha5 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (33) {G1,W4,D2,L2,V0,M2} I;r(19) { xy ==> xx, alpha5 }.
% 0.97/1.36 parent0: (4254) {G1,W4,D2,L2,V0,M2} { xy = xx, alpha5 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 1 ==> 1
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (35) {G0,W5,D2,L2,V0,M2} I { ! alpha5, sdtmndtplgtdt0( xx, xR
% 0.97/1.36 , xy ) }.
% 0.97/1.36 parent0: (4081) {G0,W5,D2,L2,V0,M2} { ! alpha5, sdtmndtplgtdt0( xx, xR, xy
% 0.97/1.36 ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 1 ==> 1
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 paramod: (4275) {G1,W5,D2,L2,V0,M2} { sdtmndtasgtdt0( xx, xR, xz ), alpha5
% 0.97/1.36 }.
% 0.97/1.36 parent0[0]: (33) {G1,W4,D2,L2,V0,M2} I;r(19) { xy ==> xx, alpha5 }.
% 0.97/1.36 parent1[0; 1]: (23) {G0,W4,D2,L1,V0,M1} I { sdtmndtasgtdt0( xy, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4276) {G1,W1,D1,L1,V0,M1} { alpha5 }.
% 0.97/1.36 parent0[0]: (28) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtasgtdt0( xx, xR, xz ) }.
% 0.97/1.36 parent1[0]: (4275) {G1,W5,D2,L2,V0,M2} { sdtmndtasgtdt0( xx, xR, xz ),
% 0.97/1.36 alpha5 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (88) {G2,W1,D1,L1,V0,M1} P(33,23);r(28) { alpha5 }.
% 0.97/1.36 parent0: (4276) {G1,W1,D1,L1,V0,M1} { alpha5 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4277) {G1,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xx, xR, xy ) }.
% 0.97/1.36 parent0[0]: (35) {G0,W5,D2,L2,V0,M2} I { ! alpha5, sdtmndtplgtdt0( xx, xR,
% 0.97/1.36 xy ) }.
% 0.97/1.36 parent1[0]: (88) {G2,W1,D1,L1,V0,M1} P(33,23);r(28) { alpha5 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (114) {G3,W4,D2,L1,V0,M1} S(35);r(88) { sdtmndtplgtdt0( xx, xR
% 0.97/1.36 , xy ) }.
% 0.97/1.36 parent0: (4277) {G1,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xx, xR, xy ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 paramod: (4279) {G1,W8,D2,L2,V0,M2} { ! sdtmndtplgtdt0( xx, xR, xy ),
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 parent0[0]: (22) {G0,W7,D2,L2,V0,M2} I { xz ==> xy, sdtmndtplgtdt0( xy, xR
% 0.97/1.36 , xz ) }.
% 0.97/1.36 parent1[0; 4]: (27) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtplgtdt0( xx, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4290) {G2,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 parent0[0]: (4279) {G1,W8,D2,L2,V0,M2} { ! sdtmndtplgtdt0( xx, xR, xy ),
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 parent1[0]: (114) {G3,W4,D2,L1,V0,M1} S(35);r(88) { sdtmndtplgtdt0( xx, xR
% 0.97/1.36 , xy ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (141) {G4,W4,D2,L1,V0,M1} P(22,27);r(114) { sdtmndtplgtdt0( xy
% 0.97/1.36 , xR, xz ) }.
% 0.97/1.36 parent0: (4290) {G2,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4291) {G1,W16,D2,L6,V1,M6} { ! aElement0( xx ), !
% 0.97/1.36 aRewritingSystem0( xR ), ! aElement0( xy ), ! aElement0( X ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent0[4]: (11) {G0,W20,D2,L7,V4,M7} I { ! aElement0( X ), !
% 0.97/1.36 aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0( T ), !
% 0.97/1.36 sdtmndtplgtdt0( X, Y, Z ), ! sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X
% 0.97/1.36 , Y, T ) }.
% 0.97/1.36 parent1[0]: (114) {G3,W4,D2,L1,V0,M1} S(35);r(88) { sdtmndtplgtdt0( xx, xR
% 0.97/1.36 , xy ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := xx
% 0.97/1.36 Y := xR
% 0.97/1.36 Z := xy
% 0.97/1.36 T := X
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4299) {G1,W14,D2,L5,V1,M5} { ! aRewritingSystem0( xR ), !
% 0.97/1.36 aElement0( xy ), ! aElement0( X ), ! sdtmndtplgtdt0( xy, xR, X ),
% 0.97/1.36 sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent0[0]: (4291) {G1,W16,D2,L6,V1,M6} { ! aElement0( xx ), !
% 0.97/1.36 aRewritingSystem0( xR ), ! aElement0( xy ), ! aElement0( X ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent1[0]: (15) {G0,W2,D2,L1,V0,M1} I { aElement0( xx ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := X
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (209) {G4,W14,D2,L5,V1,M5} R(11,114);r(15) { !
% 0.97/1.36 aRewritingSystem0( xR ), ! aElement0( xy ), ! aElement0( X ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent0: (4299) {G1,W14,D2,L5,V1,M5} { ! aRewritingSystem0( xR ), !
% 0.97/1.36 aElement0( xy ), ! aElement0( X ), ! sdtmndtplgtdt0( xy, xR, X ),
% 0.97/1.36 sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := X
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 1 ==> 1
% 0.97/1.36 2 ==> 2
% 0.97/1.36 3 ==> 3
% 0.97/1.36 4 ==> 4
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4304) {G1,W12,D2,L4,V1,M4} { ! aElement0( xy ), ! aElement0(
% 0.97/1.36 X ), ! sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent0[0]: (209) {G4,W14,D2,L5,V1,M5} R(11,114);r(15) { !
% 0.97/1.36 aRewritingSystem0( xR ), ! aElement0( xy ), ! aElement0( X ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent1[0]: (16) {G0,W2,D2,L1,V0,M1} I { aRewritingSystem0( xR ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := X
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4307) {G1,W10,D2,L3,V1,M3} { ! aElement0( X ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent0[0]: (4304) {G1,W12,D2,L4,V1,M4} { ! aElement0( xy ), ! aElement0(
% 0.97/1.36 X ), ! sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent1[0]: (17) {G0,W2,D2,L1,V0,M1} I { aElement0( xy ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := X
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (3966) {G5,W10,D2,L3,V1,M3} S(209);r(16);r(17) { ! aElement0(
% 0.97/1.36 X ), ! sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 parent0: (4307) {G1,W10,D2,L3,V1,M3} { ! aElement0( X ), ! sdtmndtplgtdt0
% 0.97/1.36 ( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 X := X
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 1 ==> 1
% 0.97/1.36 2 ==> 2
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4308) {G1,W6,D2,L2,V0,M2} { ! aElement0( xz ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 parent0[0]: (27) {G0,W4,D2,L1,V0,M1} I { ! sdtmndtplgtdt0( xx, xR, xz ) }.
% 0.97/1.36 parent1[2]: (3966) {G5,W10,D2,L3,V1,M3} S(209);r(16);r(17) { ! aElement0( X
% 0.97/1.36 ), ! sdtmndtplgtdt0( xy, xR, X ), sdtmndtplgtdt0( xx, xR, X ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 X := xz
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4309) {G1,W4,D2,L1,V0,M1} { ! sdtmndtplgtdt0( xy, xR, xz )
% 0.97/1.36 }.
% 0.97/1.36 parent0[0]: (4308) {G1,W6,D2,L2,V0,M2} { ! aElement0( xz ), !
% 0.97/1.36 sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 parent1[0]: (18) {G0,W2,D2,L1,V0,M1} I { aElement0( xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (4037) {G6,W4,D2,L1,V0,M1} R(3966,27);r(18) { ! sdtmndtplgtdt0
% 0.97/1.36 ( xy, xR, xz ) }.
% 0.97/1.36 parent0: (4309) {G1,W4,D2,L1,V0,M1} { ! sdtmndtplgtdt0( xy, xR, xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 0 ==> 0
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 resolution: (4310) {G5,W0,D0,L0,V0,M0} { }.
% 0.97/1.36 parent0[0]: (4037) {G6,W4,D2,L1,V0,M1} R(3966,27);r(18) { ! sdtmndtplgtdt0
% 0.97/1.36 ( xy, xR, xz ) }.
% 0.97/1.36 parent1[0]: (141) {G4,W4,D2,L1,V0,M1} P(22,27);r(114) { sdtmndtplgtdt0( xy
% 0.97/1.36 , xR, xz ) }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 substitution1:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 subsumption: (4039) {G7,W0,D0,L0,V0,M0} S(141);r(4037) { }.
% 0.97/1.36 parent0: (4310) {G5,W0,D0,L0,V0,M0} { }.
% 0.97/1.36 substitution0:
% 0.97/1.36 end
% 0.97/1.36 permutation0:
% 0.97/1.36 end
% 0.97/1.36
% 0.97/1.36 Proof check complete!
% 0.97/1.36
% 0.97/1.36 Memory use:
% 0.97/1.36
% 0.97/1.36 space for terms: 60603
% 0.97/1.36 space for clauses: 160509
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 clauses generated: 32745
% 0.97/1.36 clauses kept: 4040
% 0.97/1.36 clauses selected: 632
% 0.97/1.36 clauses deleted: 149
% 0.97/1.36 clauses inuse deleted: 33
% 0.97/1.36
% 0.97/1.36 subsentry: 30399
% 0.97/1.36 literals s-matched: 23915
% 0.97/1.36 literals matched: 22877
% 0.97/1.36 full subsumption: 1974
% 0.97/1.36
% 0.97/1.36 checksum: -875021767
% 0.97/1.36
% 0.97/1.36
% 0.97/1.36 Bliksem ended
%------------------------------------------------------------------------------