TSTP Solution File: NUN087+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : Mon Jul 18 16:19:18 EDT 2022
% Result : Theorem 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 2 06:22:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09
% 0.71/1.09 { alpha1( skol1, X ), r1( X ) }.
% 0.71/1.09 { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 { ! alpha1( X, Y ), ! Y = X }.
% 0.71/1.09 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.71/1.09 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.71/1.09 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.71/1.09 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.71/1.09 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.71/1.09 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.71/1.09 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.71/1.09 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.71/1.09 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.71/1.09 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.71/1.09 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.71/1.09 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.71/1.09 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.71/1.09 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.71/1.09 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.71/1.09 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.71/1.09 { r2( Y, skol16( Z, Y ) ) }.
% 0.71/1.09 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.09 { skol11( X, Y ) = skol5( X, Y ) }.
% 0.71/1.09 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.09 { r3( X, Y, skol19( X, Y ) ) }.
% 0.71/1.09 { r2( Y, skol17( Z, Y ) ) }.
% 0.71/1.09 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.09 { skol12( X, Y ) = skol6( X, Y ) }.
% 0.71/1.09 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.71/1.09 { r4( X, Y, skol20( X, Y ) ) }.
% 0.71/1.09 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.71/1.09 { r1( skol13( Y ) ) }.
% 0.71/1.09 { r3( X, skol13( X ), skol7( X ) ) }.
% 0.71/1.09 { skol7( X ) = X }.
% 0.71/1.09 { r1( skol14( Z ) ) }.
% 0.71/1.09 { skol8( Y ) = skol14( Y ) }.
% 0.71/1.09 { r1( skol18( Y ) ) }.
% 0.71/1.09 { r4( X, skol18( X ), skol8( X ) ) }.
% 0.71/1.09 { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.71/1.09 { alpha5( X ), X = skol9( X ) }.
% 0.71/1.09 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.71/1.09 { ! alpha5( X ), X = skol10( X ) }.
% 0.71/1.09 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.71/1.09 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.71/1.09 { ! r1( Y ), ! r4( Y, Y, X ), ! r1( Z ), ! X = Z }.
% 0.71/1.09
% 0.71/1.09 percentage equality = 0.277108, percentage horn = 0.688889
% 0.71/1.09 This is a problem with some equality
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 0
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.09 r2 [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.71/1.09 r3 [46, 3] (w:1, o:102, a:1, s:1, b:0),
% 0.71/1.09 r4 [51, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.71/1.09 alpha1 [82, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.71/1.09 alpha2 [83, 3] (w:1, o:104, a:1, s:1, b:1),
% 0.71/1.09 alpha3 [84, 4] (w:1, o:105, a:1, s:1, b:1),
% 0.71/1.09 alpha4 [85, 4] (w:1, o:106, a:1, s:1, b:1),
% 0.71/1.09 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.71/1.09 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.71/1.09 skol2 [88, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.71/1.09 skol3 [89, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.71/1.09 skol4 [90, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.71/1.09 skol5 [91, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.71/1.09 skol6 [92, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.71/1.09 skol7 [93, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.71/1.09 skol8 [94, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.71/1.09 skol9 [95, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.71/1.09 skol10 [96, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.71/1.09 skol11 [97, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.71/1.09 skol12 [98, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.71/1.09 skol13 [99, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.71/1.09 skol14 [100, 1] (w:1, o:59, a:1, s:1, b:1),
% 0.71/1.09 skol15 [101, 1] (w:1, o:60, a:1, s:1, b:1),
% 0.71/1.09 skol16 [102, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.71/1.09 skol17 [103, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.71/1.09 skol18 [104, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.71/1.09 skol19 [105, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.71/1.09 skol20 [106, 2] (w:1, o:92, a:1, s:1, b:1).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09 *** allocated 15000 integers for clauses
% 0.71/1.09 *** allocated 22500 integers for clauses
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Theorem
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 0.71/1.09 (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 0.71/1.09 (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.71/1.09 (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ), skol14( X ) ) }.
% 0.71/1.09 (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.71/1.09 (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.71/1.09 (44) {G0,W11,D2,L4,V3,M4} I { ! r1( Y ), ! r4( Y, Y, X ), ! r1( Z ), ! X =
% 0.71/1.09 Z }.
% 0.71/1.09 (50) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 0.71/1.09 (53) {G1,W8,D2,L3,V2,M3} Q(44) { ! r1( X ), ! r4( X, X, Y ), ! r1( Y ) }.
% 0.71/1.09 (54) {G2,W6,D2,L2,V1,M2} F(53) { ! r1( X ), ! r4( X, X, X ) }.
% 0.71/1.09 (60) {G2,W3,D3,L1,V1,M1} R(50,36) { alpha5( skol18( X ) ) }.
% 0.71/1.09 (62) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.71/1.09 (66) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) ) }.
% 0.71/1.09 (67) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) ) }.
% 0.71/1.09 (69) {G2,W4,D3,L1,V1,M1} R(66,1) { skol14( X ) ==> skol1 }.
% 0.71/1.09 (70) {G2,W4,D3,L1,V1,M1} R(67,1) { skol18( X ) ==> skol1 }.
% 0.71/1.09 (188) {G3,W3,D3,L1,V1,M1} R(40,60) { r1( skol10( X ) ) }.
% 0.71/1.09 (195) {G4,W4,D3,L1,V1,M1} R(188,62) { skol10( X ) ==> skol1 }.
% 0.71/1.09 (244) {G5,W4,D2,L1,V0,M1} R(54,188);d(195) { ! r4( skol1, skol1, skol1 )
% 0.71/1.09 }.
% 0.71/1.09 (340) {G3,W4,D2,L1,V1,M1} S(37);d(70);d(69) { r4( X, skol1, skol1 ) }.
% 0.71/1.09 (341) {G6,W0,D0,L0,V0,M0} R(340,244) { }.
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Unprocessed initial clauses:
% 0.71/1.09
% 0.71/1.09 (343) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.71/1.09 (344) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 (345) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 (346) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.71/1.09 (347) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.71/1.09 (348) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.71/1.09 (349) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.71/1.09 (350) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.71/1.09 (351) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.71/1.09 (352) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.71/1.09 (353) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z
% 0.71/1.09 ) }.
% 0.71/1.09 (354) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3(
% 0.71/1.09 X, Y ) }.
% 0.71/1.09 (355) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.71/1.09 (356) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.71/1.09 (357) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 0.71/1.09 }.
% 0.71/1.09 (358) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z
% 0.71/1.09 ) }.
% 0.71/1.09 (359) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4(
% 0.71/1.09 X, Y ) }.
% 0.71/1.09 (360) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.71/1.09 (361) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.71/1.09 (362) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 0.71/1.09 }.
% 0.71/1.09 (363) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 0.71/1.09 (364) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.09 (365) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 0.71/1.09 (366) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.09 (367) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 0.71/1.09 (368) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.71/1.09 (369) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.09 (370) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 0.71/1.09 (371) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 0.71/1.09 (372) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 0.71/1.09 (373) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 0.71/1.09 }.
% 0.71/1.09 (374) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 0.71/1.09 (375) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 0.71/1.09 (376) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.71/1.09 (377) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.71/1.09 (378) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 0.71/1.09 (379) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.71/1.09 (380) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 0.71/1.09 (381) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 0.71/1.09 (382) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.71/1.09 (383) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.71/1.09 (384) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.71/1.09 (385) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.71/1.09 (386) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.71/1.09 (387) {G0,W11,D2,L4,V3,M4} { ! r1( Y ), ! r4( Y, Y, X ), ! r1( Z ), ! X =
% 0.71/1.09 Z }.
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Total Proof:
% 0.71/1.09
% 0.71/1.09 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 parent0: (344) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 parent0: (345) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 0.71/1.09 parent0: (377) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := T
% 0.71/1.09 Y := U
% 0.71/1.09 Z := Z
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 0.71/1.09 parent0: (378) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Z
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.71/1.09 parent0: (379) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Z
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (501) {G1,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol14( X ) ) }.
% 0.71/1.09 parent0[0]: (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 0.71/1.09 parent1[0; 4]: (380) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X )
% 0.71/1.09 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ), skol14
% 0.71/1.09 ( X ) ) }.
% 0.71/1.09 parent0: (501) {G1,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol14( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent0: (383) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X )
% 0.71/1.09 }.
% 0.71/1.09 parent0: (385) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 2 ==> 2
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 *** allocated 33750 integers for clauses
% 0.71/1.09 subsumption: (44) {G0,W11,D2,L4,V3,M4} I { ! r1( Y ), ! r4( Y, Y, X ), ! r1
% 0.71/1.09 ( Z ), ! X = Z }.
% 0.71/1.09 parent0: (387) {G0,W11,D2,L4,V3,M4} { ! r1( Y ), ! r4( Y, Y, X ), ! r1( Z
% 0.71/1.09 ), ! X = Z }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 Z := Z
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 2 ==> 2
% 0.71/1.09 3 ==> 3
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (567) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! r1( Y ), alpha5( X ) }.
% 0.71/1.09 parent0[1]: (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqrefl: (568) {G0,W4,D2,L2,V1,M2} { ! r1( X ), alpha5( X ) }.
% 0.71/1.09 parent0[0]: (567) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! r1( Y ), alpha5( X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (50) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 0.71/1.09 parent0: (568) {G0,W4,D2,L2,V1,M2} { ! r1( X ), alpha5( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (569) {G0,W11,D2,L4,V3,M4} { ! Y = X, ! r1( Z ), ! r4( Z, Z, X ),
% 0.71/1.09 ! r1( Y ) }.
% 0.71/1.09 parent0[3]: (44) {G0,W11,D2,L4,V3,M4} I { ! r1( Y ), ! r4( Y, Y, X ), ! r1
% 0.71/1.09 ( Z ), ! X = Z }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Z
% 0.71/1.09 Z := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqrefl: (570) {G0,W8,D2,L3,V2,M3} { ! r1( Y ), ! r4( Y, Y, X ), ! r1( X )
% 0.71/1.09 }.
% 0.71/1.09 parent0[0]: (569) {G0,W11,D2,L4,V3,M4} { ! Y = X, ! r1( Z ), ! r4( Z, Z, X
% 0.71/1.09 ), ! r1( Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := X
% 0.71/1.09 Z := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (53) {G1,W8,D2,L3,V2,M3} Q(44) { ! r1( X ), ! r4( X, X, Y ), !
% 0.71/1.09 r1( Y ) }.
% 0.71/1.09 parent0: (570) {G0,W8,D2,L3,V2,M3} { ! r1( Y ), ! r4( Y, Y, X ), ! r1( X )
% 0.71/1.09 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 2 ==> 2
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 factor: (572) {G1,W6,D2,L2,V1,M2} { ! r1( X ), ! r4( X, X, X ) }.
% 0.71/1.09 parent0[0, 2]: (53) {G1,W8,D2,L3,V2,M3} Q(44) { ! r1( X ), ! r4( X, X, Y )
% 0.71/1.09 , ! r1( Y ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (54) {G2,W6,D2,L2,V1,M2} F(53) { ! r1( X ), ! r4( X, X, X )
% 0.71/1.09 }.
% 0.71/1.09 parent0: (572) {G1,W6,D2,L2,V1,M2} { ! r1( X ), ! r4( X, X, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 1 ==> 1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (573) {G1,W3,D3,L1,V1,M1} { alpha5( skol18( X ) ) }.
% 0.71/1.09 parent0[0]: (50) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 0.71/1.09 parent1[0]: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol18( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (60) {G2,W3,D3,L1,V1,M1} R(50,36) { alpha5( skol18( X ) ) }.
% 0.71/1.09 parent0: (573) {G1,W3,D3,L1,V1,M1} { alpha5( skol18( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (574) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.71/1.09 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (575) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 0.71/1.09 parent0[0]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 parent1[1]: (574) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol1
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (576) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 0.71/1.09 parent0[1]: (575) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (62) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.71/1.09 parent0: (576) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 1
% 0.71/1.09 1 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (577) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 0.71/1.09 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 parent1[0]: (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := skol14( Y )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := Z
% 0.71/1.09 Y := T
% 0.71/1.09 Z := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (66) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent0: (577) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (578) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol18( Y ) ) }.
% 0.71/1.09 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.71/1.09 parent1[0]: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := skol18( Y )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := Z
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (67) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent0: (578) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol18( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (579) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.71/1.09 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (580) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 0.71/1.09 parent0[0]: (66) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent1[1]: (579) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol1
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := skol14( X )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (581) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 0.71/1.09 parent0[0]: (580) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (69) {G2,W4,D3,L1,V1,M1} R(66,1) { skol14( X ) ==> skol1 }.
% 0.71/1.09 parent0: (581) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (582) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.71/1.09 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (583) {G1,W4,D3,L1,V1,M1} { skol1 = skol18( X ) }.
% 0.71/1.09 parent0[0]: (67) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent1[1]: (582) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol1
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := skol18( X )
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (584) {G1,W4,D3,L1,V1,M1} { skol18( X ) = skol1 }.
% 0.71/1.09 parent0[0]: (583) {G1,W4,D3,L1,V1,M1} { skol1 = skol18( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (70) {G2,W4,D3,L1,V1,M1} R(67,1) { skol18( X ) ==> skol1 }.
% 0.71/1.09 parent0: (584) {G1,W4,D3,L1,V1,M1} { skol18( X ) = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (585) {G1,W3,D3,L1,V1,M1} { r1( skol10( Y ) ) }.
% 0.71/1.09 parent0[0]: (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) )
% 0.71/1.09 }.
% 0.71/1.09 parent1[0]: (60) {G2,W3,D3,L1,V1,M1} R(50,36) { alpha5( skol18( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol18( X )
% 0.71/1.09 Y := Y
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (188) {G3,W3,D3,L1,V1,M1} R(40,60) { r1( skol10( X ) ) }.
% 0.71/1.09 parent0: (585) {G1,W3,D3,L1,V1,M1} { r1( skol10( Y ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := Y
% 0.71/1.09 Y := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (586) {G1,W5,D2,L2,V1,M2} { skol1 = X, ! r1( X ) }.
% 0.71/1.09 parent0[1]: (62) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (587) {G2,W4,D3,L1,V1,M1} { skol1 = skol10( X ) }.
% 0.71/1.09 parent0[1]: (586) {G1,W5,D2,L2,V1,M2} { skol1 = X, ! r1( X ) }.
% 0.71/1.09 parent1[0]: (188) {G3,W3,D3,L1,V1,M1} R(40,60) { r1( skol10( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol10( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 eqswap: (588) {G2,W4,D3,L1,V1,M1} { skol10( X ) = skol1 }.
% 0.71/1.09 parent0[0]: (587) {G2,W4,D3,L1,V1,M1} { skol1 = skol10( X ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (195) {G4,W4,D3,L1,V1,M1} R(188,62) { skol10( X ) ==> skol1
% 0.71/1.09 }.
% 0.71/1.09 parent0: (588) {G2,W4,D3,L1,V1,M1} { skol10( X ) = skol1 }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (590) {G3,W7,D3,L1,V1,M1} { ! r4( skol10( X ), skol10( X ),
% 0.71/1.09 skol10( X ) ) }.
% 0.71/1.09 parent0[0]: (54) {G2,W6,D2,L2,V1,M2} F(53) { ! r1( X ), ! r4( X, X, X ) }.
% 0.71/1.09 parent1[0]: (188) {G3,W3,D3,L1,V1,M1} R(40,60) { r1( skol10( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := skol10( X )
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (593) {G4,W6,D3,L1,V1,M1} { ! r4( skol10( X ), skol10( X ), skol1
% 0.71/1.09 ) }.
% 0.71/1.09 parent0[0]: (195) {G4,W4,D3,L1,V1,M1} R(188,62) { skol10( X ) ==> skol1 }.
% 0.71/1.09 parent1[0; 6]: (590) {G3,W7,D3,L1,V1,M1} { ! r4( skol10( X ), skol10( X )
% 0.71/1.09 , skol10( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (595) {G5,W5,D3,L1,V1,M1} { ! r4( skol10( X ), skol1, skol1 ) }.
% 0.71/1.09 parent0[0]: (195) {G4,W4,D3,L1,V1,M1} R(188,62) { skol10( X ) ==> skol1 }.
% 0.71/1.09 parent1[0; 4]: (593) {G4,W6,D3,L1,V1,M1} { ! r4( skol10( X ), skol10( X )
% 0.71/1.09 , skol1 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (596) {G5,W4,D2,L1,V0,M1} { ! r4( skol1, skol1, skol1 ) }.
% 0.71/1.09 parent0[0]: (195) {G4,W4,D3,L1,V1,M1} R(188,62) { skol10( X ) ==> skol1 }.
% 0.71/1.09 parent1[0; 2]: (595) {G5,W5,D3,L1,V1,M1} { ! r4( skol10( X ), skol1, skol1
% 0.71/1.09 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (244) {G5,W4,D2,L1,V0,M1} R(54,188);d(195) { ! r4( skol1,
% 0.71/1.09 skol1, skol1 ) }.
% 0.71/1.09 parent0: (596) {G5,W4,D2,L1,V0,M1} { ! r4( skol1, skol1, skol1 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (600) {G2,W5,D3,L1,V1,M1} { r4( X, skol1, skol14( X ) ) }.
% 0.71/1.09 parent0[0]: (70) {G2,W4,D3,L1,V1,M1} R(67,1) { skol18( X ) ==> skol1 }.
% 0.71/1.09 parent1[0; 2]: (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ),
% 0.71/1.09 skol14( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 paramod: (601) {G3,W4,D2,L1,V1,M1} { r4( X, skol1, skol1 ) }.
% 0.71/1.09 parent0[0]: (69) {G2,W4,D3,L1,V1,M1} R(66,1) { skol14( X ) ==> skol1 }.
% 0.71/1.09 parent1[0; 3]: (600) {G2,W5,D3,L1,V1,M1} { r4( X, skol1, skol14( X ) ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (340) {G3,W4,D2,L1,V1,M1} S(37);d(70);d(69) { r4( X, skol1,
% 0.71/1.09 skol1 ) }.
% 0.71/1.09 parent0: (601) {G3,W4,D2,L1,V1,M1} { r4( X, skol1, skol1 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 X := X
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 0 ==> 0
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 resolution: (602) {G4,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 parent0[0]: (244) {G5,W4,D2,L1,V0,M1} R(54,188);d(195) { ! r4( skol1, skol1
% 0.71/1.09 , skol1 ) }.
% 0.71/1.09 parent1[0]: (340) {G3,W4,D2,L1,V1,M1} S(37);d(70);d(69) { r4( X, skol1,
% 0.71/1.09 skol1 ) }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 substitution1:
% 0.71/1.09 X := skol1
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 subsumption: (341) {G6,W0,D0,L0,V0,M0} R(340,244) { }.
% 0.71/1.09 parent0: (602) {G4,W0,D0,L0,V0,M0} { }.
% 0.71/1.09 substitution0:
% 0.71/1.09 end
% 0.71/1.09 permutation0:
% 0.71/1.09 end
% 0.71/1.09
% 0.71/1.09 Proof check complete!
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 4295
% 0.71/1.09 space for clauses: 18045
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 853
% 0.71/1.09 clauses kept: 342
% 0.71/1.09 clauses selected: 82
% 0.71/1.09 clauses deleted: 3
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 1581
% 0.71/1.09 literals s-matched: 1221
% 0.71/1.09 literals matched: 1221
% 0.71/1.09 full subsumption: 182
% 0.71/1.09
% 0.71/1.09 checksum: 269937641
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------