TSTP Solution File: NUN054+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN054+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 16:19:09 EDT 2022
% Result : Theorem 0.81s 1.18s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN054+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 2 07:55:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.18 *** allocated 10000 integers for termspace/termends
% 0.45/1.18 *** allocated 10000 integers for clauses
% 0.45/1.18 *** allocated 10000 integers for justifications
% 0.45/1.18 Bliksem 1.12
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Automatic Strategy Selection
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Clauses:
% 0.45/1.18
% 0.45/1.18 { alpha1( skol1, X ), r1( X ) }.
% 0.45/1.18 { alpha1( skol1, X ), X = skol1 }.
% 0.45/1.18 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.45/1.18 { ! alpha1( X, Y ), ! Y = X }.
% 0.45/1.18 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.45/1.18 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.45/1.18 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.45/1.18 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.45/1.18 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.45/1.18 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.45/1.18 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.45/1.18 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.45/1.18 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.45/1.18 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.45/1.18 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.45/1.18 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.45/1.18 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.45/1.18 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.45/1.18 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.45/1.18 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.45/1.18 { r2( Y, skol16( Z, Y ) ) }.
% 0.45/1.18 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.45/1.18 { skol11( X, Y ) = skol5( X, Y ) }.
% 0.45/1.18 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.45/1.18 { r3( X, Y, skol19( X, Y ) ) }.
% 0.45/1.18 { r2( Y, skol17( Z, Y ) ) }.
% 0.45/1.18 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.45/1.18 { skol12( X, Y ) = skol6( X, Y ) }.
% 0.45/1.18 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.45/1.18 { r4( X, Y, skol20( X, Y ) ) }.
% 0.45/1.18 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.45/1.18 { r1( skol13( Y ) ) }.
% 0.45/1.18 { r3( X, skol13( X ), skol7( X ) ) }.
% 0.45/1.18 { skol7( X ) = X }.
% 0.45/1.18 { r1( skol14( Z ) ) }.
% 0.45/1.18 { skol8( Y ) = skol14( Y ) }.
% 0.45/1.18 { r1( skol18( Y ) ) }.
% 0.45/1.18 { r4( X, skol18( X ), skol8( X ) ) }.
% 0.45/1.18 { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.45/1.18 { alpha5( X ), X = skol9( X ) }.
% 0.45/1.18 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.45/1.18 { ! alpha5( X ), X = skol10( X ) }.
% 0.45/1.18 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.45/1.18 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.45/1.18 { ! r1( Z ), ! r3( Z, Y, X ), ! r1( T ), ! r2( T, Y ), ! X = U, ! r1( W ),
% 0.45/1.18 ! r2( W, U ) }.
% 0.45/1.18
% 0.45/1.18 percentage equality = 0.267442, percentage horn = 0.688889
% 0.45/1.18 This is a problem with some equality
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18
% 0.45/1.18 Options Used:
% 0.45/1.18
% 0.45/1.18 useres = 1
% 0.45/1.18 useparamod = 1
% 0.45/1.18 useeqrefl = 1
% 0.45/1.18 useeqfact = 1
% 0.45/1.18 usefactor = 1
% 0.45/1.18 usesimpsplitting = 0
% 0.45/1.18 usesimpdemod = 5
% 0.45/1.18 usesimpres = 3
% 0.45/1.18
% 0.45/1.18 resimpinuse = 1000
% 0.45/1.18 resimpclauses = 20000
% 0.45/1.18 substype = eqrewr
% 0.45/1.18 backwardsubs = 1
% 0.45/1.18 selectoldest = 5
% 0.45/1.18
% 0.45/1.18 litorderings [0] = split
% 0.45/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.18
% 0.45/1.18 termordering = kbo
% 0.45/1.18
% 0.45/1.18 litapriori = 0
% 0.45/1.18 termapriori = 1
% 0.45/1.18 litaposteriori = 0
% 0.45/1.18 termaposteriori = 0
% 0.45/1.18 demodaposteriori = 0
% 0.45/1.18 ordereqreflfact = 0
% 0.45/1.18
% 0.45/1.18 litselect = negord
% 0.45/1.18
% 0.45/1.18 maxweight = 15
% 0.45/1.18 maxdepth = 30000
% 0.45/1.18 maxlength = 115
% 0.45/1.18 maxnrvars = 195
% 0.45/1.18 excuselevel = 1
% 0.45/1.18 increasemaxweight = 1
% 0.45/1.18
% 0.45/1.18 maxselected = 10000000
% 0.45/1.18 maxnrclauses = 10000000
% 0.45/1.18
% 0.45/1.18 showgenerated = 0
% 0.45/1.18 showkept = 0
% 0.45/1.18 showselected = 0
% 0.45/1.18 showdeleted = 0
% 0.45/1.18 showresimp = 1
% 0.45/1.18 showstatus = 2000
% 0.45/1.18
% 0.45/1.18 prologoutput = 0
% 0.45/1.18 nrgoals = 5000000
% 0.45/1.18 totalproof = 1
% 0.81/1.18
% 0.81/1.18 Symbols occurring in the translation:
% 0.81/1.18
% 0.81/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.18 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.81/1.18 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.81/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.18 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.81/1.18 r2 [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.81/1.18 r3 [46, 3] (w:1, o:102, a:1, s:1, b:0),
% 0.81/1.18 r4 [51, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.81/1.18 alpha1 [82, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.81/1.18 alpha2 [83, 3] (w:1, o:104, a:1, s:1, b:1),
% 0.81/1.18 alpha3 [84, 4] (w:1, o:105, a:1, s:1, b:1),
% 0.81/1.18 alpha4 [85, 4] (w:1, o:106, a:1, s:1, b:1),
% 0.81/1.18 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.81/1.18 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.81/1.18 skol2 [88, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.81/1.18 skol3 [89, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.81/1.18 skol4 [90, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.81/1.18 skol5 [91, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.81/1.18 skol6 [92, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.81/1.18 skol7 [93, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.81/1.18 skol8 [94, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.81/1.18 skol9 [95, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.81/1.18 skol10 [96, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.81/1.18 skol11 [97, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.81/1.18 skol12 [98, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.81/1.18 skol13 [99, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.81/1.18 skol14 [100, 1] (w:1, o:59, a:1, s:1, b:1),
% 0.81/1.18 skol15 [101, 1] (w:1, o:60, a:1, s:1, b:1),
% 0.81/1.18 skol16 [102, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.81/1.18 skol17 [103, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.81/1.18 skol18 [104, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.81/1.18 skol19 [105, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.81/1.18 skol20 [106, 2] (w:1, o:92, a:1, s:1, b:1).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Starting Search:
% 0.81/1.18
% 0.81/1.18 *** allocated 15000 integers for clauses
% 0.81/1.18 *** allocated 22500 integers for clauses
% 0.81/1.18 *** allocated 33750 integers for clauses
% 0.81/1.18 *** allocated 50625 integers for clauses
% 0.81/1.18 *** allocated 15000 integers for termspace/termends
% 0.81/1.18 Resimplifying inuse:
% 0.81/1.18 Done
% 0.81/1.18
% 0.81/1.18 *** allocated 75937 integers for clauses
% 0.81/1.18 *** allocated 22500 integers for termspace/termends
% 0.81/1.18 *** allocated 33750 integers for termspace/termends
% 0.81/1.18 *** allocated 113905 integers for clauses
% 0.81/1.18
% 0.81/1.18 Bliksems!, er is een bewijs:
% 0.81/1.18 % SZS status Theorem
% 0.81/1.18 % SZS output start Refutation
% 0.81/1.18
% 0.81/1.18 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.81/1.18 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.81/1.18 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.81/1.18 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.81/1.18 (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.81/1.18 (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.81/1.18 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.81/1.18 (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.81/1.18 (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3(
% 0.81/1.18 X, Y ) }.
% 0.81/1.18 (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.81/1.18 (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 0.81/1.18 (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.81/1.18 (22) {G0,W7,D3,L1,V2,M1} I { skol11( X, Y ) ==> skol5( X, Y ) }.
% 0.81/1.18 (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.81/1.18 (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol19( X, Y ) ) }.
% 0.81/1.18 (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.81/1.18 (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) ) }.
% 0.81/1.18 (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.81/1.18 (44) {G0,W19,D2,L7,V6,M7} I { ! r1( Z ), ! r3( Z, Y, X ), ! r1( T ), ! r2(
% 0.81/1.18 T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.81/1.18 (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.81/1.18 (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.81/1.18 (52) {G1,W17,D2,L6,V5,M6} F(44) { ! r1( X ), ! r3( X, Y, Z ), ! r2( X, Y )
% 0.81/1.18 , ! Z = T, ! r1( U ), ! r2( U, T ) }.
% 0.81/1.18 (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.81/1.18 (75) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) ) }.
% 0.81/1.18 (78) {G2,W4,D3,L1,V1,M1} R(75,1) { skol13( X ) ==> skol1 }.
% 0.81/1.18 (94) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.81/1.18 (130) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol16( Z, X ) ) }.
% 0.81/1.18 (260) {G2,W6,D3,L1,V2,M1} R(130,6) { skol16( X, Y ) ==> skol2( Y ) }.
% 0.81/1.18 (318) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol19( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 (350) {G3,W4,D2,L1,V1,M1} S(32);d(78);d(33) { r3( X, skol1, X ) }.
% 0.81/1.18 (386) {G4,W5,D2,L1,V2,M1} R(350,12) { ! alpha3( X, skol1, Y, X ) }.
% 0.81/1.18 (397) {G5,W5,D3,L1,V1,M1} R(386,11) { skol3( X, skol1 ) ==> X }.
% 0.81/1.18 (520) {G3,W7,D3,L1,V2,M1} S(21);d(260);d(22) { r3( X, skol2( Y ), skol5( X
% 0.81/1.18 , Y ) ) }.
% 0.81/1.18 (1167) {G3,W15,D2,L5,V4,M5} R(52,65) { ! r1( X ), ! r3( X, Y, Z ), ! r2( X
% 0.81/1.18 , Y ), ! Z = T, ! r2( skol1, T ) }.
% 0.81/1.18 (1169) {G4,W12,D2,L4,V3,M4} Q(1167) { ! r1( X ), ! r3( X, Y, Z ), ! r2( X,
% 0.81/1.18 Y ), ! r2( skol1, Z ) }.
% 0.81/1.18 (1170) {G5,W7,D2,L2,V1,M2} F(1169);r(65) { ! r3( skol1, X, X ), ! r2( skol1
% 0.81/1.18 , X ) }.
% 0.81/1.18 (1331) {G6,W6,D3,L1,V0,M1} R(1170,94) { ! r3( skol1, skol2( skol1 ), skol2
% 0.81/1.18 ( skol1 ) ) }.
% 0.81/1.18 (1595) {G2,W7,D3,L1,V2,M1} R(318,11) { skol19( X, Y ) ==> skol3( X, Y ) }.
% 0.81/1.18 (1626) {G3,W7,D3,L1,V2,M1} P(1595,23) { r2( skol3( X, Y ), skol5( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 (1641) {G6,W5,D3,L1,V1,M1} P(397,1626) { r2( X, skol5( X, skol1 ) ) }.
% 0.81/1.18 (1668) {G7,W6,D3,L1,V2,M1} R(1641,7) { ! alpha2( X, Y, skol5( X, skol1 ) )
% 0.81/1.18 }.
% 0.81/1.18 (1685) {G8,W6,D3,L1,V1,M1} R(1668,6) { skol5( X, skol1 ) ==> skol2( X ) }.
% 0.81/1.18 (1787) {G9,W6,D3,L1,V1,M1} P(1685,520) { r3( X, skol2( skol1 ), skol2( X )
% 0.81/1.18 ) }.
% 0.81/1.18 (1804) {G10,W0,D0,L0,V0,M0} R(1787,1331) { }.
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 % SZS output end Refutation
% 0.81/1.18 found a proof!
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Unprocessed initial clauses:
% 0.81/1.18
% 0.81/1.18 (1806) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.81/1.18 (1807) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.81/1.18 (1808) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.81/1.18 (1809) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.81/1.18 (1810) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.81/1.18 (1811) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.81/1.18 (1812) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 0.81/1.18 }.
% 0.81/1.18 (1813) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.81/1.18 (1814) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.81/1.18 (1815) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.81/1.18 (1816) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y,
% 0.81/1.18 Z ) }.
% 0.81/1.18 (1817) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 0.81/1.18 ( X, Y ) }.
% 0.81/1.18 (1818) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.81/1.18 (1819) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.81/1.18 (1820) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 0.81/1.18 }.
% 0.81/1.18 (1821) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y,
% 0.81/1.18 Z ) }.
% 0.81/1.18 (1822) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 0.81/1.18 ( X, Y ) }.
% 0.81/1.18 (1823) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.81/1.18 (1824) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.81/1.18 (1825) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 0.81/1.18 }.
% 0.81/1.18 (1826) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.81/1.18 (1827) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.81/1.18 (1828) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 0.81/1.18 (1829) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.81/1.18 (1830) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.81/1.18 (1831) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.81/1.18 (1832) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.81/1.18 (1833) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 0.81/1.18 (1834) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.81/1.18 (1835) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.81/1.18 (1836) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.81/1.18 }.
% 0.81/1.18 (1837) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.81/1.18 (1838) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.81/1.18 (1839) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.81/1.18 (1840) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.81/1.18 (1841) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 0.81/1.18 (1842) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.81/1.18 (1843) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 0.81/1.18 (1844) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol15( Y ), skol9( Y ) )
% 0.81/1.18 }.
% 0.81/1.18 (1845) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.81/1.18 (1846) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.81/1.18 (1847) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.81/1.18 (1848) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.81/1.18 (1849) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.81/1.18 (1850) {G0,W19,D2,L7,V6,M7} { ! r1( Z ), ! r3( Z, Y, X ), ! r1( T ), ! r2
% 0.81/1.18 ( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Total Proof:
% 0.81/1.18
% 0.81/1.18 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.81/1.18 parent0: (1806) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.81/1.18 parent0: (1807) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.81/1.18 parent0: (1808) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.81/1.18 parent0: (1809) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X
% 0.81/1.18 , Y ) }.
% 0.81/1.18 parent0: (1811) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y
% 0.81/1.18 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.81/1.18 skol2( X ) }.
% 0.81/1.18 parent0: (1812) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y =
% 0.81/1.18 skol2( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.81/1.18 }.
% 0.81/1.18 parent0: (1813) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.81/1.18 parent0: (1814) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 0.81/1.18 , Z = skol3( X, Y ) }.
% 0.81/1.18 parent0: (1817) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z
% 0.81/1.18 = skol3( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X,
% 0.81/1.18 Y, T ) }.
% 0.81/1.18 parent0: (1818) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y,
% 0.81/1.18 T ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 T := T
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 0.81/1.18 parent0: (1826) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := T
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol16( X, Y ), skol11( X
% 0.81/1.18 , Y ) ) }.
% 0.81/1.18 parent0: (1827) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y
% 0.81/1.18 ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (22) {G0,W7,D3,L1,V2,M1} I { skol11( X, Y ) ==> skol5( X, Y )
% 0.81/1.18 }.
% 0.81/1.18 parent0: (1828) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y )
% 0.81/1.18 ) }.
% 0.81/1.18 parent0: (1829) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol19( X, Y ) ) }.
% 0.81/1.18 parent0: (1830) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.81/1.18 parent0: (1837) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0: (1838) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.81/1.18 parent0: (1839) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (44) {G0,W19,D2,L7,V6,M7} I { ! r1( Z ), ! r3( Z, Y, X ), ! r1
% 0.81/1.18 ( T ), ! r2( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.81/1.18 parent0: (1850) {G0,W19,D2,L7,V6,M7} { ! r1( Z ), ! r3( Z, Y, X ), ! r1( T
% 0.81/1.18 ), ! r2( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 T := T
% 0.81/1.18 U := U
% 0.81/1.18 W := W
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 2 ==> 2
% 0.81/1.18 3 ==> 3
% 0.81/1.18 4 ==> 4
% 0.81/1.18 5 ==> 5
% 0.81/1.18 6 ==> 6
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2036) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.81/1.18 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqrefl: (2037) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 0.81/1.18 parent0[0]: (2036) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.81/1.18 parent0: (2037) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2038) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.81/1.18 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqrefl: (2039) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.81/1.18 parent0[0]: (2038) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.81/1.18 parent0: (2039) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 factor: (2041) {G0,W17,D2,L6,V5,M6} { ! r1( X ), ! r3( X, Y, Z ), ! r2( X
% 0.81/1.18 , Y ), ! Z = T, ! r1( U ), ! r2( U, T ) }.
% 0.81/1.18 parent0[0, 2]: (44) {G0,W19,D2,L7,V6,M7} I { ! r1( Z ), ! r3( Z, Y, X ), !
% 0.81/1.18 r1( T ), ! r2( T, Y ), ! X = U, ! r1( W ), ! r2( W, U ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := X
% 0.81/1.18 T := X
% 0.81/1.18 U := T
% 0.81/1.18 W := U
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (52) {G1,W17,D2,L6,V5,M6} F(44) { ! r1( X ), ! r3( X, Y, Z ),
% 0.81/1.18 ! r2( X, Y ), ! Z = T, ! r1( U ), ! r2( U, T ) }.
% 0.81/1.18 parent0: (2041) {G0,W17,D2,L6,V5,M6} { ! r1( X ), ! r3( X, Y, Z ), ! r2( X
% 0.81/1.18 , Y ), ! Z = T, ! r1( U ), ! r2( U, T ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 T := T
% 0.81/1.18 U := U
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 2 ==> 2
% 0.81/1.18 3 ==> 3
% 0.81/1.18 4 ==> 4
% 0.81/1.18 5 ==> 5
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2057) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 0.81/1.18 parent0[0]: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 0.81/1.18 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.81/1.18 parent0: (2057) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2058) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 0.81/1.18 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.81/1.18 parent1[0]: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol13( Y )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (75) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0: (2058) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2059) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.81/1.18 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2060) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 0.81/1.18 parent0[0]: (75) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 0.81/1.18 }.
% 0.81/1.18 parent1[1]: (2059) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol13( X )
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2061) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 0.81/1.18 parent0[0]: (2060) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (78) {G2,W4,D3,L1,V1,M1} R(75,1) { skol13( X ) ==> skol1 }.
% 0.81/1.18 parent0: (2061) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2062) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.81/1.18 parent0[0]: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 0.81/1.18 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 0.81/1.18 Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol2( X )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol2( X )
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (94) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.81/1.18 parent0: (2062) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2063) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol16( Z, X ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.81/1.18 }.
% 0.81/1.18 parent1[0]: (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := skol16( Z, X )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := T
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (130) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol16( Z
% 0.81/1.18 , X ) ) }.
% 0.81/1.18 parent0: (2063) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol16( Z, X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2064) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y )
% 0.81/1.18 , X ) }.
% 0.81/1.18 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.81/1.18 skol2( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2065) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol16( Y, X ) }.
% 0.81/1.18 parent0[0]: (130) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol16( Z,
% 0.81/1.18 X ) ) }.
% 0.81/1.18 parent1[1]: (2064) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 0.81/1.18 ( Y ), X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol2( X )
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol16( Y, X )
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2066) {G1,W6,D3,L1,V2,M1} { skol16( Y, X ) = skol2( X ) }.
% 0.81/1.18 parent0[0]: (2065) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol16( Y, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (260) {G2,W6,D3,L1,V2,M1} R(130,6) { skol16( X, Y ) ==> skol2
% 0.81/1.18 ( Y ) }.
% 0.81/1.18 parent0: (2066) {G1,W6,D3,L1,V2,M1} { skol16( Y, X ) = skol2( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2067) {G1,W7,D3,L1,V3,M1} { ! alpha3( X, Y, Z, skol19( X, Y )
% 0.81/1.18 ) }.
% 0.81/1.18 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 0.81/1.18 , T ) }.
% 0.81/1.18 parent1[0]: (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol19( X, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 T := skol19( X, Y )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (318) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol19
% 0.81/1.18 ( X, Y ) ) }.
% 0.81/1.18 parent0: (2067) {G1,W7,D3,L1,V3,M1} { ! alpha3( X, Y, Z, skol19( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2070) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 0.81/1.18 parent0[0]: (78) {G2,W4,D3,L1,V1,M1} R(75,1) { skol13( X ) ==> skol1 }.
% 0.81/1.18 parent1[0; 2]: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X )
% 0.81/1.18 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2071) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 0.81/1.18 parent0[0]: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 0.81/1.18 parent1[0; 3]: (2070) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (350) {G3,W4,D2,L1,V1,M1} S(32);d(78);d(33) { r3( X, skol1, X
% 0.81/1.18 ) }.
% 0.81/1.18 parent0: (2071) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2072) {G1,W5,D2,L1,V2,M1} { ! alpha3( X, skol1, Y, X ) }.
% 0.81/1.18 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 0.81/1.18 , T ) }.
% 0.81/1.18 parent1[0]: (350) {G3,W4,D2,L1,V1,M1} S(32);d(78);d(33) { r3( X, skol1, X )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol1
% 0.81/1.18 Z := Y
% 0.81/1.18 T := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (386) {G4,W5,D2,L1,V2,M1} R(350,12) { ! alpha3( X, skol1, Y, X
% 0.81/1.18 ) }.
% 0.81/1.18 parent0: (2072) {G1,W5,D2,L1,V2,M1} { ! alpha3( X, skol1, Y, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2073) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 0.81/1.18 skol3( Y, Z ), X ) }.
% 0.81/1.18 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 0.81/1.18 , Z = skol3( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2074) {G1,W5,D3,L1,V1,M1} { skol3( X, skol1 ) = X }.
% 0.81/1.18 parent0[0]: (386) {G4,W5,D2,L1,V2,M1} R(350,12) { ! alpha3( X, skol1, Y, X
% 0.81/1.18 ) }.
% 0.81/1.18 parent1[1]: (2073) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 0.81/1.18 , skol3( Y, Z ), X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol3( X, skol1 )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := X
% 0.81/1.18 Z := skol1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (397) {G5,W5,D3,L1,V1,M1} R(386,11) { skol3( X, skol1 ) ==> X
% 0.81/1.18 }.
% 0.81/1.18 parent0: (2074) {G1,W5,D3,L1,V1,M1} { skol3( X, skol1 ) = X }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2078) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol11( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (260) {G2,W6,D3,L1,V2,M1} R(130,6) { skol16( X, Y ) ==> skol2(
% 0.81/1.18 Y ) }.
% 0.81/1.18 parent1[0; 2]: (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol16( X, Y ), skol11(
% 0.81/1.18 X, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2079) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol5( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (22) {G0,W7,D3,L1,V2,M1} I { skol11( X, Y ) ==> skol5( X, Y )
% 0.81/1.18 }.
% 0.81/1.18 parent1[0; 4]: (2078) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol11( X,
% 0.81/1.18 Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (520) {G3,W7,D3,L1,V2,M1} S(21);d(260);d(22) { r3( X, skol2( Y
% 0.81/1.18 ), skol5( X, Y ) ) }.
% 0.81/1.18 parent0: (2079) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol5( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2080) {G1,W17,D2,L6,V5,M6} { ! Y = X, ! r1( Z ), ! r3( Z, T, X )
% 0.81/1.18 , ! r2( Z, T ), ! r1( U ), ! r2( U, Y ) }.
% 0.81/1.18 parent0[3]: (52) {G1,W17,D2,L6,V5,M6} F(44) { ! r1( X ), ! r3( X, Y, Z ), !
% 0.81/1.18 r2( X, Y ), ! Z = T, ! r1( U ), ! r2( U, T ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := T
% 0.81/1.18 Z := X
% 0.81/1.18 T := Y
% 0.81/1.18 U := U
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2082) {G2,W15,D2,L5,V4,M5} { ! X = Y, ! r1( Z ), ! r3( Z, T,
% 0.81/1.18 Y ), ! r2( Z, T ), ! r2( skol1, X ) }.
% 0.81/1.18 parent0[4]: (2080) {G1,W17,D2,L6,V5,M6} { ! Y = X, ! r1( Z ), ! r3( Z, T,
% 0.81/1.18 X ), ! r2( Z, T ), ! r1( U ), ! r2( U, Y ) }.
% 0.81/1.18 parent1[0]: (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Z
% 0.81/1.18 T := T
% 0.81/1.18 U := skol1
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2083) {G2,W15,D2,L5,V4,M5} { ! Y = X, ! r1( Z ), ! r3( Z, T, Y )
% 0.81/1.18 , ! r2( Z, T ), ! r2( skol1, X ) }.
% 0.81/1.18 parent0[0]: (2082) {G2,W15,D2,L5,V4,M5} { ! X = Y, ! r1( Z ), ! r3( Z, T,
% 0.81/1.18 Y ), ! r2( Z, T ), ! r2( skol1, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 T := T
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1167) {G3,W15,D2,L5,V4,M5} R(52,65) { ! r1( X ), ! r3( X, Y,
% 0.81/1.18 Z ), ! r2( X, Y ), ! Z = T, ! r2( skol1, T ) }.
% 0.81/1.18 parent0: (2083) {G2,W15,D2,L5,V4,M5} { ! Y = X, ! r1( Z ), ! r3( Z, T, Y )
% 0.81/1.18 , ! r2( Z, T ), ! r2( skol1, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := T
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := X
% 0.81/1.18 T := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 3
% 0.81/1.18 1 ==> 0
% 0.81/1.18 2 ==> 1
% 0.81/1.18 3 ==> 2
% 0.81/1.18 4 ==> 4
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2087) {G3,W15,D2,L5,V4,M5} { ! Y = X, ! r1( Z ), ! r3( Z, T, X )
% 0.81/1.18 , ! r2( Z, T ), ! r2( skol1, Y ) }.
% 0.81/1.18 parent0[3]: (1167) {G3,W15,D2,L5,V4,M5} R(52,65) { ! r1( X ), ! r3( X, Y, Z
% 0.81/1.18 ), ! r2( X, Y ), ! Z = T, ! r2( skol1, T ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := T
% 0.81/1.18 Z := X
% 0.81/1.18 T := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqrefl: (2088) {G0,W12,D2,L4,V3,M4} { ! r1( Y ), ! r3( Y, Z, X ), ! r2( Y
% 0.81/1.18 , Z ), ! r2( skol1, X ) }.
% 0.81/1.18 parent0[0]: (2087) {G3,W15,D2,L5,V4,M5} { ! Y = X, ! r1( Z ), ! r3( Z, T,
% 0.81/1.18 X ), ! r2( Z, T ), ! r2( skol1, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Y
% 0.81/1.18 T := Z
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1169) {G4,W12,D2,L4,V3,M4} Q(1167) { ! r1( X ), ! r3( X, Y, Z
% 0.81/1.18 ), ! r2( X, Y ), ! r2( skol1, Z ) }.
% 0.81/1.18 parent0: (2088) {G0,W12,D2,L4,V3,M4} { ! r1( Y ), ! r3( Y, Z, X ), ! r2( Y
% 0.81/1.18 , Z ), ! r2( skol1, X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 2 ==> 2
% 0.81/1.18 3 ==> 3
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 factor: (2090) {G4,W9,D2,L3,V1,M3} { ! r1( skol1 ), ! r3( skol1, X, X ), !
% 0.81/1.18 r2( skol1, X ) }.
% 0.81/1.18 parent0[2, 3]: (1169) {G4,W12,D2,L4,V3,M4} Q(1167) { ! r1( X ), ! r3( X, Y
% 0.81/1.18 , Z ), ! r2( X, Y ), ! r2( skol1, Z ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := X
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2091) {G3,W7,D2,L2,V1,M2} { ! r3( skol1, X, X ), ! r2( skol1
% 0.81/1.18 , X ) }.
% 0.81/1.18 parent0[0]: (2090) {G4,W9,D2,L3,V1,M3} { ! r1( skol1 ), ! r3( skol1, X, X
% 0.81/1.18 ), ! r2( skol1, X ) }.
% 0.81/1.18 parent1[0]: (65) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1170) {G5,W7,D2,L2,V1,M2} F(1169);r(65) { ! r3( skol1, X, X )
% 0.81/1.18 , ! r2( skol1, X ) }.
% 0.81/1.18 parent0: (2091) {G3,W7,D2,L2,V1,M2} { ! r3( skol1, X, X ), ! r2( skol1, X
% 0.81/1.18 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2092) {G3,W6,D3,L1,V0,M1} { ! r3( skol1, skol2( skol1 ),
% 0.81/1.18 skol2( skol1 ) ) }.
% 0.81/1.18 parent0[1]: (1170) {G5,W7,D2,L2,V1,M2} F(1169);r(65) { ! r3( skol1, X, X )
% 0.81/1.18 , ! r2( skol1, X ) }.
% 0.81/1.18 parent1[0]: (94) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol2( skol1 )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1331) {G6,W6,D3,L1,V0,M1} R(1170,94) { ! r3( skol1, skol2(
% 0.81/1.18 skol1 ), skol2( skol1 ) ) }.
% 0.81/1.18 parent0: (2092) {G3,W6,D3,L1,V0,M1} { ! r3( skol1, skol2( skol1 ), skol2(
% 0.81/1.18 skol1 ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2093) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 0.81/1.18 skol3( Y, Z ), X ) }.
% 0.81/1.18 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 0.81/1.18 , Z = skol3( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2094) {G1,W7,D3,L1,V2,M1} { skol3( X, Y ) = skol19( X, Y )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (318) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol19
% 0.81/1.18 ( X, Y ) ) }.
% 0.81/1.18 parent1[1]: (2093) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 0.81/1.18 , skol3( Y, Z ), X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := skol3( X, Y )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol19( X, Y )
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2095) {G1,W7,D3,L1,V2,M1} { skol19( X, Y ) = skol3( X, Y ) }.
% 0.81/1.18 parent0[0]: (2094) {G1,W7,D3,L1,V2,M1} { skol3( X, Y ) = skol19( X, Y )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1595) {G2,W7,D3,L1,V2,M1} R(318,11) { skol19( X, Y ) ==>
% 0.81/1.18 skol3( X, Y ) }.
% 0.81/1.18 parent0: (2095) {G1,W7,D3,L1,V2,M1} { skol19( X, Y ) = skol3( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2097) {G1,W7,D3,L1,V2,M1} { r2( skol3( X, Y ), skol5( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (1595) {G2,W7,D3,L1,V2,M1} R(318,11) { skol19( X, Y ) ==> skol3
% 0.81/1.18 ( X, Y ) }.
% 0.81/1.18 parent1[0; 1]: (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y
% 0.81/1.18 ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1626) {G3,W7,D3,L1,V2,M1} P(1595,23) { r2( skol3( X, Y ),
% 0.81/1.18 skol5( X, Y ) ) }.
% 0.81/1.18 parent0: (2097) {G1,W7,D3,L1,V2,M1} { r2( skol3( X, Y ), skol5( X, Y ) )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2099) {G4,W5,D3,L1,V1,M1} { r2( X, skol5( X, skol1 ) ) }.
% 0.81/1.18 parent0[0]: (397) {G5,W5,D3,L1,V1,M1} R(386,11) { skol3( X, skol1 ) ==> X
% 0.81/1.18 }.
% 0.81/1.18 parent1[0; 1]: (1626) {G3,W7,D3,L1,V2,M1} P(1595,23) { r2( skol3( X, Y ),
% 0.81/1.18 skol5( X, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1641) {G6,W5,D3,L1,V1,M1} P(397,1626) { r2( X, skol5( X,
% 0.81/1.18 skol1 ) ) }.
% 0.81/1.18 parent0: (2099) {G4,W5,D3,L1,V1,M1} { r2( X, skol5( X, skol1 ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2100) {G1,W6,D3,L1,V2,M1} { ! alpha2( X, Y, skol5( X, skol1 )
% 0.81/1.18 ) }.
% 0.81/1.18 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.81/1.18 }.
% 0.81/1.18 parent1[0]: (1641) {G6,W5,D3,L1,V1,M1} P(397,1626) { r2( X, skol5( X, skol1
% 0.81/1.18 ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := skol5( X, skol1 )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1668) {G7,W6,D3,L1,V2,M1} R(1641,7) { ! alpha2( X, Y, skol5(
% 0.81/1.18 X, skol1 ) ) }.
% 0.81/1.18 parent0: (2100) {G1,W6,D3,L1,V2,M1} { ! alpha2( X, Y, skol5( X, skol1 ) )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2101) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y )
% 0.81/1.18 , X ) }.
% 0.81/1.18 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.81/1.18 skol2( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2102) {G1,W6,D3,L1,V1,M1} { skol2( X ) = skol5( X, skol1 )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (1668) {G7,W6,D3,L1,V2,M1} R(1641,7) { ! alpha2( X, Y, skol5( X
% 0.81/1.18 , skol1 ) ) }.
% 0.81/1.18 parent1[1]: (2101) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 0.81/1.18 ( Y ), X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol2( X )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol5( X, skol1 )
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 eqswap: (2103) {G1,W6,D3,L1,V1,M1} { skol5( X, skol1 ) = skol2( X ) }.
% 0.81/1.18 parent0[0]: (2102) {G1,W6,D3,L1,V1,M1} { skol2( X ) = skol5( X, skol1 )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1685) {G8,W6,D3,L1,V1,M1} R(1668,6) { skol5( X, skol1 ) ==>
% 0.81/1.18 skol2( X ) }.
% 0.81/1.18 parent0: (2103) {G1,W6,D3,L1,V1,M1} { skol5( X, skol1 ) = skol2( X ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 paramod: (2105) {G4,W6,D3,L1,V1,M1} { r3( X, skol2( skol1 ), skol2( X ) )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (1685) {G8,W6,D3,L1,V1,M1} R(1668,6) { skol5( X, skol1 ) ==>
% 0.81/1.18 skol2( X ) }.
% 0.81/1.18 parent1[0; 4]: (520) {G3,W7,D3,L1,V2,M1} S(21);d(260);d(22) { r3( X, skol2
% 0.81/1.18 ( Y ), skol5( X, Y ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := skol1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1787) {G9,W6,D3,L1,V1,M1} P(1685,520) { r3( X, skol2( skol1 )
% 0.81/1.18 , skol2( X ) ) }.
% 0.81/1.18 parent0: (2105) {G4,W6,D3,L1,V1,M1} { r3( X, skol2( skol1 ), skol2( X ) )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (2106) {G7,W0,D0,L0,V0,M0} { }.
% 0.81/1.18 parent0[0]: (1331) {G6,W6,D3,L1,V0,M1} R(1170,94) { ! r3( skol1, skol2(
% 0.81/1.18 skol1 ), skol2( skol1 ) ) }.
% 0.81/1.18 parent1[0]: (1787) {G9,W6,D3,L1,V1,M1} P(1685,520) { r3( X, skol2( skol1 )
% 0.81/1.18 , skol2( X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1804) {G10,W0,D0,L0,V0,M0} R(1787,1331) { }.
% 0.81/1.18 parent0: (2106) {G7,W0,D0,L0,V0,M0} { }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 Proof check complete!
% 0.81/1.18
% 0.81/1.18 Memory use:
% 0.81/1.18
% 0.81/1.18 space for terms: 24146
% 0.81/1.18 space for clauses: 81508
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 clauses generated: 6396
% 0.81/1.18 clauses kept: 1805
% 0.81/1.18 clauses selected: 203
% 0.81/1.18 clauses deleted: 42
% 0.81/1.18 clauses inuse deleted: 25
% 0.81/1.18
% 0.81/1.18 subsentry: 13811
% 0.81/1.18 literals s-matched: 10335
% 0.81/1.18 literals matched: 10077
% 0.81/1.18 full subsumption: 5190
% 0.81/1.18
% 0.81/1.18 checksum: -500784069
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Bliksem ended
%------------------------------------------------------------------------------