TSTP Solution File: NUN073+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN073+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 16:19:14 EDT 2022
% Result : Theorem 0.68s 1.11s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 2 06:54:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.11 *** allocated 10000 integers for termspace/termends
% 0.68/1.11 *** allocated 10000 integers for clauses
% 0.68/1.11 *** allocated 10000 integers for justifications
% 0.68/1.11 Bliksem 1.12
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Automatic Strategy Selection
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Clauses:
% 0.68/1.11
% 0.68/1.11 { alpha1( skol1, X ), r1( X ) }.
% 0.68/1.11 { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 { ! alpha1( X, Y ), ! Y = X }.
% 0.68/1.11 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.68/1.11 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.68/1.11 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.68/1.11 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.68/1.11 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.68/1.11 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.68/1.11 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.68/1.11 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.68/1.11 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.68/1.11 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.68/1.11 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.68/1.11 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.68/1.11 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.68/1.11 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.68/1.11 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.68/1.11 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.68/1.11 { r2( Y, skol18( Z, Y ) ) }.
% 0.68/1.11 { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 0.68/1.11 { skol12( X, Y ) = skol5( X, Y ) }.
% 0.68/1.11 { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 0.68/1.11 { r3( X, Y, skol22( X, Y ) ) }.
% 0.68/1.11 { r2( Y, skol19( Z, Y ) ) }.
% 0.68/1.11 { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 0.68/1.11 { skol13( X, Y ) = skol6( X, Y ) }.
% 0.68/1.11 { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 0.68/1.11 { r4( X, Y, skol23( X, Y ) ) }.
% 0.68/1.11 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.68/1.11 { r1( skol14( Y ) ) }.
% 0.68/1.11 { r3( X, skol14( X ), skol7( X ) ) }.
% 0.68/1.11 { skol7( X ) = X }.
% 0.68/1.11 { r1( skol15( Z ) ) }.
% 0.68/1.11 { skol8( Y ) = skol15( Y ) }.
% 0.68/1.11 { r1( skol20( Y ) ) }.
% 0.68/1.11 { r4( X, skol20( X ), skol8( X ) ) }.
% 0.68/1.11 { alpha5( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.68/1.11 { alpha5( X ), X = skol9( X ) }.
% 0.68/1.11 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.68/1.11 { ! alpha5( X ), X = skol10( X ) }.
% 0.68/1.11 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.68/1.11 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.68/1.11 { r1( skol21 ) }.
% 0.68/1.11 { r2( skol21, skol17 ) }.
% 0.68/1.11 { skol17 = skol11 }.
% 0.68/1.11 { r1( skol25 ) }.
% 0.68/1.11 { r2( skol25, skol24 ) }.
% 0.68/1.11 { r2( skol24, skol11 ) }.
% 0.68/1.11
% 0.68/1.11 percentage equality = 0.270588, percentage horn = 0.720000
% 0.68/1.11 This is a problem with some equality
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Options Used:
% 0.68/1.11
% 0.68/1.11 useres = 1
% 0.68/1.11 useparamod = 1
% 0.68/1.11 useeqrefl = 1
% 0.68/1.11 useeqfact = 1
% 0.68/1.11 usefactor = 1
% 0.68/1.11 usesimpsplitting = 0
% 0.68/1.11 usesimpdemod = 5
% 0.68/1.11 usesimpres = 3
% 0.68/1.11
% 0.68/1.11 resimpinuse = 1000
% 0.68/1.11 resimpclauses = 20000
% 0.68/1.11 substype = eqrewr
% 0.68/1.11 backwardsubs = 1
% 0.68/1.11 selectoldest = 5
% 0.68/1.11
% 0.68/1.11 litorderings [0] = split
% 0.68/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.11
% 0.68/1.11 termordering = kbo
% 0.68/1.11
% 0.68/1.11 litapriori = 0
% 0.68/1.11 termapriori = 1
% 0.68/1.11 litaposteriori = 0
% 0.68/1.11 termaposteriori = 0
% 0.68/1.11 demodaposteriori = 0
% 0.68/1.11 ordereqreflfact = 0
% 0.68/1.11
% 0.68/1.11 litselect = negord
% 0.68/1.11
% 0.68/1.11 maxweight = 15
% 0.68/1.11 maxdepth = 30000
% 0.68/1.11 maxlength = 115
% 0.68/1.11 maxnrvars = 195
% 0.68/1.11 excuselevel = 1
% 0.68/1.11 increasemaxweight = 1
% 0.68/1.11
% 0.68/1.11 maxselected = 10000000
% 0.68/1.11 maxnrclauses = 10000000
% 0.68/1.11
% 0.68/1.11 showgenerated = 0
% 0.68/1.11 showkept = 0
% 0.68/1.11 showselected = 0
% 0.68/1.11 showdeleted = 0
% 0.68/1.11 showresimp = 1
% 0.68/1.11 showstatus = 2000
% 0.68/1.11
% 0.68/1.11 prologoutput = 0
% 0.68/1.11 nrgoals = 5000000
% 0.68/1.11 totalproof = 1
% 0.68/1.11
% 0.68/1.11 Symbols occurring in the translation:
% 0.68/1.11
% 0.68/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.11 . [1, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.68/1.11 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 0.68/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.11 r1 [37, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.68/1.11 r2 [41, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.68/1.11 r3 [46, 3] (w:1, o:107, a:1, s:1, b:0),
% 0.68/1.11 r4 [51, 3] (w:1, o:108, a:1, s:1, b:0),
% 0.68/1.11 alpha1 [82, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.68/1.11 alpha2 [83, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.68/1.11 alpha3 [84, 4] (w:1, o:110, a:1, s:1, b:1),
% 0.68/1.11 alpha4 [85, 4] (w:1, o:111, a:1, s:1, b:1),
% 0.68/1.11 alpha5 [86, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.68/1.11 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.68/1.11 skol2 [88, 1] (w:1, o:66, a:1, s:1, b:1),
% 0.68/1.11 skol3 [89, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.68/1.11 skol4 [90, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.68/1.11 skol5 [91, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.68/1.11 skol6 [92, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.68/1.11 skol7 [93, 1] (w:1, o:67, a:1, s:1, b:1),
% 0.68/1.11 skol8 [94, 1] (w:1, o:68, a:1, s:1, b:1),
% 0.68/1.11 skol9 [95, 1] (w:1, o:69, a:1, s:1, b:1),
% 0.68/1.11 skol10 [96, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.68/1.11 skol11 [97, 0] (w:1, o:50, a:1, s:1, b:1),
% 0.68/1.11 skol12 [98, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.68/1.11 skol13 [99, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.68/1.11 skol14 [100, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.68/1.11 skol15 [101, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.68/1.11 skol16 [102, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.68/1.11 skol17 [103, 0] (w:1, o:51, a:1, s:1, b:1),
% 0.68/1.11 skol18 [104, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.68/1.11 skol19 [105, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.68/1.11 skol20 [106, 1] (w:1, o:70, a:1, s:1, b:1),
% 0.68/1.11 skol21 [107, 0] (w:1, o:52, a:1, s:1, b:1),
% 0.68/1.11 skol22 [108, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.68/1.11 skol23 [109, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.68/1.11 skol24 [110, 0] (w:1, o:53, a:1, s:1, b:1),
% 0.68/1.11 skol25 [111, 0] (w:1, o:54, a:1, s:1, b:1).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Starting Search:
% 0.68/1.11
% 0.68/1.11 *** allocated 15000 integers for clauses
% 0.68/1.11 *** allocated 22500 integers for clauses
% 0.68/1.11 *** allocated 33750 integers for clauses
% 0.68/1.11 *** allocated 50625 integers for clauses
% 0.68/1.11 *** allocated 15000 integers for termspace/termends
% 0.68/1.11
% 0.68/1.11 Bliksems!, er is een bewijs:
% 0.68/1.11 % SZS status Theorem
% 0.68/1.11 % SZS output start Refutation
% 0.68/1.11
% 0.68/1.11 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.68/1.11 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.68/1.11 (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.68/1.11 (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.68/1.11 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.68/1.11 (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.68/1.11 }.
% 0.68/1.11 (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.68/1.11 (44) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 0.68/1.11 (45) {G0,W3,D2,L1,V0,M1} I { r2( skol21, skol17 ) }.
% 0.68/1.11 (46) {G0,W3,D2,L1,V0,M1} I { skol17 ==> skol11 }.
% 0.68/1.11 (47) {G0,W2,D2,L1,V0,M1} I { r1( skol25 ) }.
% 0.68/1.11 (48) {G0,W3,D2,L1,V0,M1} I { r2( skol25, skol24 ) }.
% 0.68/1.11 (49) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol11 ) }.
% 0.68/1.11 (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.68/1.11 (58) {G1,W3,D2,L1,V0,M1} S(45);d(46) { r2( skol21, skol11 ) }.
% 0.68/1.11 (69) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.68/1.11 (72) {G1,W3,D2,L1,V1,M1} R(2,44) { ! alpha1( X, skol21 ) }.
% 0.68/1.11 (73) {G1,W3,D2,L1,V1,M1} R(2,47) { ! alpha1( X, skol25 ) }.
% 0.68/1.11 (74) {G2,W3,D2,L1,V0,M1} R(72,1) { skol21 ==> skol1 }.
% 0.68/1.11 (75) {G2,W3,D2,L1,V0,M1} R(73,1) { skol25 ==> skol1 }.
% 0.68/1.11 (76) {G3,W3,D2,L1,V0,M1} P(75,48) { r2( skol1, skol24 ) }.
% 0.68/1.11 (77) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.68/1.11 (80) {G3,W3,D2,L1,V0,M1} P(74,58) { r2( skol1, skol11 ) }.
% 0.68/1.11 (126) {G4,W4,D2,L1,V1,M1} R(7,80) { ! alpha2( skol1, X, skol11 ) }.
% 0.68/1.11 (127) {G4,W4,D2,L1,V1,M1} R(7,76) { ! alpha2( skol1, X, skol24 ) }.
% 0.68/1.11 (129) {G5,W4,D3,L1,V0,M1} R(126,6) { skol2( skol1 ) ==> skol11 }.
% 0.68/1.11 (130) {G6,W3,D2,L1,V0,M1} R(127,6);d(129) { skol24 ==> skol11 }.
% 0.68/1.11 (131) {G7,W3,D2,L1,V0,M1} P(130,49) { r2( skol11, skol11 ) }.
% 0.68/1.11 (169) {G8,W2,D2,L1,V0,M1} R(56,131) { ! r1( skol11 ) }.
% 0.68/1.11 (250) {G2,W6,D2,L2,V2,M2} R(77,56) { ! X = skol1, ! r2( Y, X ) }.
% 0.68/1.11 (272) {G4,W5,D2,L2,V1,M2} P(69,80) { r2( X, skol11 ), ! r1( X ) }.
% 0.68/1.11 (277) {G5,W6,D2,L2,V1,M2} R(272,77) { r2( X, skol11 ), ! X = skol1 }.
% 0.68/1.11 (596) {G9,W9,D2,L3,V2,M3} P(4,277);r(169) { r2( Y, X ), ! Y = skol1, alpha1
% 0.68/1.11 ( X, skol11 ) }.
% 0.68/1.11 (599) {G10,W6,D2,L2,V1,M2} Q(596) { r2( skol1, X ), alpha1( X, skol11 ) }.
% 0.68/1.11 (602) {G11,W6,D2,L2,V1,M2} R(599,3) { r2( skol1, X ), ! skol11 = X }.
% 0.68/1.11 (964) {G12,W15,D2,L5,V4,M5} P(30,602) { r2( skol1, Y ), ! X = Y, ! r2(
% 0.68/1.11 skol11, Z ), ! Z = T, ! r2( X, T ) }.
% 0.68/1.11 (969) {G3,W15,D2,L5,V5,M5} P(30,250) { ! Y = X, ! r2( Z, Y ), ! r2( skol1,
% 0.68/1.11 T ), ! T = U, ! r2( X, U ) }.
% 0.68/1.11 (1009) {G4,W12,D2,L4,V4,M4} Q(969) { ! X = Y, ! r2( Z, X ), ! r2( skol1, T
% 0.68/1.11 ), ! r2( Y, T ) }.
% 0.68/1.11 (1011) {G5,W9,D2,L3,V3,M3} Q(1009) { ! r2( X, Y ), ! r2( skol1, Z ), ! r2(
% 0.68/1.11 Y, Z ) }.
% 0.68/1.11 (1012) {G6,W6,D2,L2,V1,M2} F(1011) { ! r2( skol1, X ), ! r2( X, X ) }.
% 0.68/1.11 (1022) {G13,W12,D2,L4,V2,M4} F(964) { r2( skol1, X ), ! Y = X, ! r2( skol11
% 0.68/1.11 , Y ), ! r2( Y, X ) }.
% 0.68/1.11 (1025) {G14,W6,D2,L2,V1,M2} Q(1022);r(1012) { ! r2( skol11, X ), ! r2( X, X
% 0.68/1.11 ) }.
% 0.68/1.11 (1026) {G15,W0,D0,L0,V0,M0} F(1025);r(131) { }.
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 % SZS output end Refutation
% 0.68/1.11 found a proof!
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Unprocessed initial clauses:
% 0.68/1.11
% 0.68/1.11 (1028) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.68/1.11 (1029) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 (1030) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 (1031) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.68/1.11 (1032) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.68/1.11 (1033) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.68/1.11 (1034) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 0.68/1.11 }.
% 0.68/1.11 (1035) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.68/1.11 (1036) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.68/1.11 (1037) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.68/1.11 (1038) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y,
% 0.68/1.11 Z ) }.
% 0.68/1.11 (1039) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 0.68/1.11 ( X, Y ) }.
% 0.68/1.11 (1040) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.68/1.11 (1041) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.68/1.11 (1042) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 0.68/1.11 }.
% 0.68/1.11 (1043) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y,
% 0.68/1.11 Z ) }.
% 0.68/1.11 (1044) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 0.68/1.11 ( X, Y ) }.
% 0.68/1.11 (1045) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.68/1.11 (1046) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.68/1.11 (1047) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 0.68/1.11 }.
% 0.68/1.11 (1048) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 0.68/1.11 (1049) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 0.68/1.11 (1050) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol5( X, Y ) }.
% 0.68/1.11 (1051) {G0,W7,D3,L1,V2,M1} { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 0.68/1.11 (1052) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol22( X, Y ) ) }.
% 0.68/1.11 (1053) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 0.68/1.11 (1054) {G0,W8,D3,L1,V2,M1} { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 0.68/1.11 (1055) {G0,W7,D3,L1,V2,M1} { skol13( X, Y ) = skol6( X, Y ) }.
% 0.68/1.11 (1056) {G0,W8,D3,L1,V2,M1} { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 0.68/1.11 (1057) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol23( X, Y ) ) }.
% 0.68/1.11 (1058) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.68/1.11 }.
% 0.68/1.11 (1059) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 0.68/1.11 (1060) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 0.68/1.11 (1061) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.68/1.11 (1062) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 0.68/1.11 (1063) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol15( Y ) }.
% 0.68/1.11 (1064) {G0,W3,D3,L1,V1,M1} { r1( skol20( Y ) ) }.
% 0.68/1.11 (1065) {G0,W6,D3,L1,V1,M1} { r4( X, skol20( X ), skol8( X ) ) }.
% 0.68/1.11 (1066) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol16( Y ), skol9( Y ) )
% 0.68/1.11 }.
% 0.68/1.11 (1067) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.68/1.11 (1068) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.68/1.11 (1069) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.68/1.11 (1070) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.68/1.11 (1071) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.68/1.11 (1072) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 0.68/1.11 (1073) {G0,W3,D2,L1,V0,M1} { r2( skol21, skol17 ) }.
% 0.68/1.11 (1074) {G0,W3,D2,L1,V0,M1} { skol17 = skol11 }.
% 0.68/1.11 (1075) {G0,W2,D2,L1,V0,M1} { r1( skol25 ) }.
% 0.68/1.11 (1076) {G0,W3,D2,L1,V0,M1} { r2( skol25, skol24 ) }.
% 0.68/1.11 (1077) {G0,W3,D2,L1,V0,M1} { r2( skol24, skol11 ) }.
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Total Proof:
% 0.68/1.11
% 0.68/1.11 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.68/1.11 parent0: (1028) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 parent0: (1029) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 parent0: (1030) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.68/1.11 parent0: (1031) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.68/1.11 parent0: (1032) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 2 ==> 2
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.68/1.11 skol2( X ) }.
% 0.68/1.11 parent0: (1034) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y =
% 0.68/1.11 skol2( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.68/1.11 }.
% 0.68/1.11 parent0: (1035) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.68/1.11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 Z := Z
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y,
% 0.68/1.11 Z ), X = Y }.
% 0.68/1.11 parent0: (1058) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z )
% 0.68/1.11 , X = Y }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 Z := Z
% 0.68/1.11 T := T
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 2 ==> 2
% 0.68/1.11 3 ==> 3
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 0.68/1.11 }.
% 0.68/1.11 parent0: (1071) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 Z := Z
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 2 ==> 2
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 *** allocated 75937 integers for clauses
% 0.68/1.11 subsumption: (44) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 0.68/1.11 parent0: (1072) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (45) {G0,W3,D2,L1,V0,M1} I { r2( skol21, skol17 ) }.
% 0.68/1.11 parent0: (1073) {G0,W3,D2,L1,V0,M1} { r2( skol21, skol17 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (46) {G0,W3,D2,L1,V0,M1} I { skol17 ==> skol11 }.
% 0.68/1.11 parent0: (1074) {G0,W3,D2,L1,V0,M1} { skol17 = skol11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (47) {G0,W2,D2,L1,V0,M1} I { r1( skol25 ) }.
% 0.68/1.11 parent0: (1075) {G0,W2,D2,L1,V0,M1} { r1( skol25 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 *** allocated 22500 integers for termspace/termends
% 0.68/1.11 subsumption: (48) {G0,W3,D2,L1,V0,M1} I { r2( skol25, skol24 ) }.
% 0.68/1.11 parent0: (1076) {G0,W3,D2,L1,V0,M1} { r2( skol25, skol24 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (49) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol11 ) }.
% 0.68/1.11 parent0: (1077) {G0,W3,D2,L1,V0,M1} { r2( skol24, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1267) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y ) }.
% 0.68/1.11 parent0[1]: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 0.68/1.11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := Y
% 0.68/1.11 Y := X
% 0.68/1.11 Z := Z
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqrefl: (1268) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 0.68/1.11 parent0[0]: (1267) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y )
% 0.68/1.11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := X
% 0.68/1.11 Z := Y
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.68/1.11 parent0: (1268) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := Y
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 paramod: (1270) {G1,W3,D2,L1,V0,M1} { r2( skol21, skol11 ) }.
% 0.68/1.11 parent0[0]: (46) {G0,W3,D2,L1,V0,M1} I { skol17 ==> skol11 }.
% 0.68/1.11 parent1[0; 2]: (45) {G0,W3,D2,L1,V0,M1} I { r2( skol21, skol17 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (58) {G1,W3,D2,L1,V0,M1} S(45);d(46) { r2( skol21, skol11 )
% 0.68/1.11 }.
% 0.68/1.11 parent0: (1270) {G1,W3,D2,L1,V0,M1} { r2( skol21, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1271) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.68/1.11 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1272) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 0.68/1.11 parent0[0]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 parent1[1]: (1271) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol1
% 0.68/1.11 Y := X
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1273) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 0.68/1.11 parent0[1]: (1272) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (69) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.68/1.11 parent0: (1273) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 1
% 0.68/1.11 1 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1274) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol21 ) }.
% 0.68/1.11 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := skol21
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (72) {G1,W3,D2,L1,V1,M1} R(2,44) { ! alpha1( X, skol21 ) }.
% 0.68/1.11 parent0: (1274) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol21 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1275) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol25 ) }.
% 0.68/1.11 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.68/1.11 parent1[0]: (47) {G0,W2,D2,L1,V0,M1} I { r1( skol25 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := skol25
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (73) {G1,W3,D2,L1,V1,M1} R(2,47) { ! alpha1( X, skol25 ) }.
% 0.68/1.11 parent0: (1275) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol25 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1276) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.68/1.11 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1277) {G1,W3,D2,L1,V0,M1} { skol1 = skol21 }.
% 0.68/1.11 parent0[0]: (72) {G1,W3,D2,L1,V1,M1} R(2,44) { ! alpha1( X, skol21 ) }.
% 0.68/1.11 parent1[1]: (1276) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol1
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 X := skol21
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1278) {G1,W3,D2,L1,V0,M1} { skol21 = skol1 }.
% 0.68/1.11 parent0[0]: (1277) {G1,W3,D2,L1,V0,M1} { skol1 = skol21 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (74) {G2,W3,D2,L1,V0,M1} R(72,1) { skol21 ==> skol1 }.
% 0.68/1.11 parent0: (1278) {G1,W3,D2,L1,V0,M1} { skol21 = skol1 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1279) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.68/1.11 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1280) {G1,W3,D2,L1,V0,M1} { skol1 = skol25 }.
% 0.68/1.11 parent0[0]: (73) {G1,W3,D2,L1,V1,M1} R(2,47) { ! alpha1( X, skol25 ) }.
% 0.68/1.11 parent1[1]: (1279) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol1
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 X := skol25
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1281) {G1,W3,D2,L1,V0,M1} { skol25 = skol1 }.
% 0.68/1.11 parent0[0]: (1280) {G1,W3,D2,L1,V0,M1} { skol1 = skol25 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (75) {G2,W3,D2,L1,V0,M1} R(73,1) { skol25 ==> skol1 }.
% 0.68/1.11 parent0: (1281) {G1,W3,D2,L1,V0,M1} { skol25 = skol1 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 paramod: (1283) {G1,W3,D2,L1,V0,M1} { r2( skol1, skol24 ) }.
% 0.68/1.11 parent0[0]: (75) {G2,W3,D2,L1,V0,M1} R(73,1) { skol25 ==> skol1 }.
% 0.68/1.11 parent1[0; 1]: (48) {G0,W3,D2,L1,V0,M1} I { r2( skol25, skol24 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (76) {G3,W3,D2,L1,V0,M1} P(75,48) { r2( skol1, skol24 ) }.
% 0.68/1.11 parent0: (1283) {G1,W3,D2,L1,V0,M1} { r2( skol1, skol24 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1284) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.68/1.11 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := Y
% 0.68/1.11 Y := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1285) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.68/1.11 parent0[1]: (1284) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 0.68/1.11 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 Y := skol1
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1286) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 0.68/1.11 parent0[0]: (1285) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (77) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 0.68/1.11 parent0: (1286) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 1 ==> 1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 paramod: (1288) {G2,W3,D2,L1,V0,M1} { r2( skol1, skol11 ) }.
% 0.68/1.11 parent0[0]: (74) {G2,W3,D2,L1,V0,M1} R(72,1) { skol21 ==> skol1 }.
% 0.68/1.11 parent1[0; 1]: (58) {G1,W3,D2,L1,V0,M1} S(45);d(46) { r2( skol21, skol11 )
% 0.68/1.11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (80) {G3,W3,D2,L1,V0,M1} P(74,58) { r2( skol1, skol11 ) }.
% 0.68/1.11 parent0: (1288) {G2,W3,D2,L1,V0,M1} { r2( skol1, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1289) {G1,W4,D2,L1,V1,M1} { ! alpha2( skol1, X, skol11 ) }.
% 0.68/1.11 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.68/1.11 }.
% 0.68/1.11 parent1[0]: (80) {G3,W3,D2,L1,V0,M1} P(74,58) { r2( skol1, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol1
% 0.68/1.11 Y := X
% 0.68/1.11 Z := skol11
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (126) {G4,W4,D2,L1,V1,M1} R(7,80) { ! alpha2( skol1, X, skol11
% 0.68/1.11 ) }.
% 0.68/1.11 parent0: (1289) {G1,W4,D2,L1,V1,M1} { ! alpha2( skol1, X, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1290) {G1,W4,D2,L1,V1,M1} { ! alpha2( skol1, X, skol24 ) }.
% 0.68/1.11 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 0.68/1.11 }.
% 0.68/1.11 parent1[0]: (76) {G3,W3,D2,L1,V0,M1} P(75,48) { r2( skol1, skol24 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol1
% 0.68/1.11 Y := X
% 0.68/1.11 Z := skol24
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (127) {G4,W4,D2,L1,V1,M1} R(7,76) { ! alpha2( skol1, X, skol24
% 0.68/1.11 ) }.
% 0.68/1.11 parent0: (1290) {G1,W4,D2,L1,V1,M1} { ! alpha2( skol1, X, skol24 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := X
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1291) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y )
% 0.68/1.11 , X ) }.
% 0.68/1.11 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.68/1.11 skol2( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := Y
% 0.68/1.11 Y := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1292) {G1,W4,D3,L1,V0,M1} { skol2( skol1 ) = skol11 }.
% 0.68/1.11 parent0[0]: (126) {G4,W4,D2,L1,V1,M1} R(7,80) { ! alpha2( skol1, X, skol11
% 0.68/1.11 ) }.
% 0.68/1.11 parent1[1]: (1291) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 0.68/1.11 ( Y ), X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol2( skol1 )
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 X := skol11
% 0.68/1.11 Y := skol1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (129) {G5,W4,D3,L1,V0,M1} R(126,6) { skol2( skol1 ) ==> skol11
% 0.68/1.11 }.
% 0.68/1.11 parent0: (1292) {G1,W4,D3,L1,V0,M1} { skol2( skol1 ) = skol11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1294) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y )
% 0.68/1.11 , X ) }.
% 0.68/1.11 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 0.68/1.11 skol2( X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := Y
% 0.68/1.11 Y := X
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1296) {G1,W4,D3,L1,V0,M1} { skol2( skol1 ) = skol24 }.
% 0.68/1.11 parent0[0]: (127) {G4,W4,D2,L1,V1,M1} R(7,76) { ! alpha2( skol1, X, skol24
% 0.68/1.11 ) }.
% 0.68/1.11 parent1[1]: (1294) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 0.68/1.11 ( Y ), X ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 X := skol2( skol1 )
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 X := skol24
% 0.68/1.11 Y := skol1
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 paramod: (1297) {G2,W3,D2,L1,V0,M1} { skol11 = skol24 }.
% 0.68/1.11 parent0[0]: (129) {G5,W4,D3,L1,V0,M1} R(126,6) { skol2( skol1 ) ==> skol11
% 0.68/1.11 }.
% 0.68/1.11 parent1[0; 1]: (1296) {G1,W4,D3,L1,V0,M1} { skol2( skol1 ) = skol24 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 eqswap: (1298) {G2,W3,D2,L1,V0,M1} { skol24 = skol11 }.
% 0.68/1.11 parent0[0]: (1297) {G2,W3,D2,L1,V0,M1} { skol11 = skol24 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (130) {G6,W3,D2,L1,V0,M1} R(127,6);d(129) { skol24 ==> skol11
% 0.68/1.11 }.
% 0.68/1.11 parent0: (1298) {G2,W3,D2,L1,V0,M1} { skol24 = skol11 }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 paramod: (1300) {G1,W3,D2,L1,V0,M1} { r2( skol11, skol11 ) }.
% 0.68/1.11 parent0[0]: (130) {G6,W3,D2,L1,V0,M1} R(127,6);d(129) { skol24 ==> skol11
% 0.68/1.11 }.
% 0.68/1.11 parent1[0; 1]: (49) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 substitution1:
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 subsumption: (131) {G7,W3,D2,L1,V0,M1} P(130,49) { r2( skol11, skol11 ) }.
% 0.68/1.11 parent0: (1300) {G1,W3,D2,L1,V0,M1} { r2( skol11, skol11 ) }.
% 0.68/1.11 substitution0:
% 0.68/1.11 end
% 0.68/1.11 permutation0:
% 0.68/1.11 0 ==> 0
% 0.68/1.11 end
% 0.68/1.11
% 0.68/1.11 resolution: (1301) {G2,W2,D2,L1,V0,M1} { ! r1( skol11 ) }.
% 0.68/1.11 parent0[1]: (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.68/1.11 parent1[0]: (131) {G7,W3,D2,L1,V0,M1} P(130,49) { r2( skol11, skol11 ) Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------