TSTP Solution File: NUN067+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:19:12 EDT 2022
% Result : Theorem 0.73s 1.10s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 04:37:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09
% 0.73/1.09 { alpha1( skol1, X ), r1( X ) }.
% 0.73/1.09 { alpha1( skol1, X ), X = skol1 }.
% 0.73/1.09 { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.73/1.09 { ! alpha1( X, Y ), ! Y = X }.
% 0.73/1.09 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.73/1.09 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.73/1.09 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.73/1.09 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.73/1.09 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.73/1.09 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.73/1.09 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 0.73/1.09 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 0.73/1.09 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.73/1.09 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.73/1.09 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.73/1.09 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 0.73/1.09 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 0.73/1.09 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.73/1.09 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.73/1.09 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.73/1.09 { r2( Y, skol17( Z, Y ) ) }.
% 0.73/1.09 { r3( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.73/1.09 { skol12( X, Y ) = skol5( X, Y ) }.
% 0.73/1.09 { r2( skol20( X, Y ), skol5( X, Y ) ) }.
% 0.73/1.09 { r3( X, Y, skol20( X, Y ) ) }.
% 0.73/1.09 { r2( Y, skol18( Z, Y ) ) }.
% 0.73/1.09 { r4( X, skol18( X, Y ), skol13( X, Y ) ) }.
% 0.73/1.09 { skol13( X, Y ) = skol6( X, Y ) }.
% 0.73/1.09 { r3( skol21( X, Y ), X, skol6( X, Y ) ) }.
% 0.73/1.09 { r4( X, Y, skol21( X, Y ) ) }.
% 0.73/1.09 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.73/1.09 { r1( skol14( Y ) ) }.
% 0.73/1.09 { r3( X, skol14( X ), skol7( X ) ) }.
% 0.73/1.09 { skol7( X ) = X }.
% 0.73/1.09 { r1( skol15( Z ) ) }.
% 0.73/1.09 { skol8( Y ) = skol15( Y ) }.
% 0.73/1.09 { r1( skol19( Y ) ) }.
% 0.73/1.09 { r4( X, skol19( X ), skol8( X ) ) }.
% 0.73/1.09 { alpha5( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.73/1.09 { alpha5( X ), X = skol9( X ) }.
% 0.73/1.09 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.73/1.09 { ! alpha5( X ), X = skol10( X ) }.
% 0.73/1.09 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.73/1.09 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.73/1.09 { r1( skol11( Y ) ) }.
% 0.73/1.09 { X = skol11( X ) }.
% 0.73/1.09
% 0.73/1.09 percentage equality = 0.283951, percentage horn = 0.695652
% 0.73/1.09 This is a problem with some equality
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.10
% 0.73/1.10 useres = 1
% 0.73/1.10 useparamod = 1
% 0.73/1.10 useeqrefl = 1
% 0.73/1.10 useeqfact = 1
% 0.73/1.10 usefactor = 1
% 0.73/1.10 usesimpsplitting = 0
% 0.73/1.10 usesimpdemod = 5
% 0.73/1.10 usesimpres = 3
% 0.73/1.10
% 0.73/1.10 resimpinuse = 1000
% 0.73/1.10 resimpclauses = 20000
% 0.73/1.10 substype = eqrewr
% 0.73/1.10 backwardsubs = 1
% 0.73/1.10 selectoldest = 5
% 0.73/1.10
% 0.73/1.10 litorderings [0] = split
% 0.73/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.10
% 0.73/1.10 termordering = kbo
% 0.73/1.10
% 0.73/1.10 litapriori = 0
% 0.73/1.10 termapriori = 1
% 0.73/1.10 litaposteriori = 0
% 0.73/1.10 termaposteriori = 0
% 0.73/1.10 demodaposteriori = 0
% 0.73/1.10 ordereqreflfact = 0
% 0.73/1.10
% 0.73/1.10 litselect = negord
% 0.73/1.10
% 0.73/1.10 maxweight = 15
% 0.73/1.10 maxdepth = 30000
% 0.73/1.10 maxlength = 115
% 0.73/1.10 maxnrvars = 195
% 0.73/1.10 excuselevel = 1
% 0.73/1.10 increasemaxweight = 1
% 0.73/1.10
% 0.73/1.10 maxselected = 10000000
% 0.73/1.10 maxnrclauses = 10000000
% 0.73/1.10
% 0.73/1.10 showgenerated = 0
% 0.73/1.10 showkept = 0
% 0.73/1.10 showselected = 0
% 0.73/1.10 showdeleted = 0
% 0.73/1.10 showresimp = 1
% 0.73/1.10 showstatus = 2000
% 0.73/1.10
% 0.73/1.10 prologoutput = 0
% 0.73/1.10 nrgoals = 5000000
% 0.73/1.10 totalproof = 1
% 0.73/1.10
% 0.73/1.10 Symbols occurring in the translation:
% 0.73/1.10
% 0.73/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.10 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.73/1.10 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.73/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.10 r2 [41, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.73/1.10 r3 [46, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.73/1.10 r4 [51, 3] (w:1, o:104, a:1, s:1, b:0),
% 0.73/1.10 alpha1 [82, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.73/1.10 alpha2 [83, 3] (w:1, o:105, a:1, s:1, b:1),
% 0.73/1.10 alpha3 [84, 4] (w:1, o:106, a:1, s:1, b:1),
% 0.73/1.10 alpha4 [85, 4] (w:1, o:107, a:1, s:1, b:1),
% 0.73/1.10 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.73/1.10 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 0.73/1.10 skol2 [88, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.73/1.10 skol3 [89, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.73/1.10 skol4 [90, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.73/1.10 skol5 [91, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.73/1.10 skol6 [92, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.73/1.10 skol7 [93, 1] (w:1, o:64, a:1, s:1, b:1),
% 0.73/1.10 skol8 [94, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.73/1.10 skol9 [95, 1] (w:1, o:66, a:1, s:1, b:1),
% 0.73/1.10 skol10 [96, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.73/1.10 skol11 [97, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.73/1.10 skol12 [98, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.73/1.10 skol13 [99, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.73/1.10 skol14 [100, 1] (w:1, o:59, a:1, s:1, b:1),
% 0.73/1.10 skol15 [101, 1] (w:1, o:60, a:1, s:1, b:1),
% 0.73/1.10 skol16 [102, 1] (w:1, o:61, a:1, s:1, b:1),
% 0.73/1.10 skol17 [103, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.73/1.10 skol18 [104, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.73/1.10 skol19 [105, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.73/1.10 skol20 [106, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.73/1.10 skol21 [107, 2] (w:1, o:94, a:1, s:1, b:1).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Starting Search:
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Bliksems!, er is een bewijs:
% 0.73/1.10 % SZS status Theorem
% 0.73/1.10 % SZS output start Refutation
% 0.73/1.10
% 0.73/1.10 (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 0.73/1.10 (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.73/1.10 (44) {G0,W3,D3,L1,V1,M1} I { r1( skol11( Y ) ) }.
% 0.73/1.10 (45) {G0,W4,D3,L1,V1,M1} I { skol11( X ) ==> X }.
% 0.73/1.10 (52) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.73/1.10 (53) {G1,W2,D2,L1,V1,M1} S(44);d(45) { r1( Y ) }.
% 0.73/1.10 (59) {G2,W3,D2,L1,V2,M1} S(52);r(53) { ! r2( Y, X ) }.
% 0.73/1.10 (60) {G3,W0,D0,L0,V0,M0} S(25);r(59) { }.
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 % SZS output end Refutation
% 0.73/1.10 found a proof!
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Unprocessed initial clauses:
% 0.73/1.10
% 0.73/1.10 (62) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 0.73/1.10 (63) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 0.73/1.10 (64) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 0.73/1.10 (65) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 0.73/1.10 (66) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 0.73/1.10 (67) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 0.73/1.10 (68) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 0.73/1.10 (69) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 0.73/1.10 (70) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 0.73/1.10 (71) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 0.73/1.10 (72) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z
% 0.73/1.10 ) }.
% 0.73/1.10 (73) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X
% 0.73/1.10 , Y ) }.
% 0.73/1.10 (74) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 0.73/1.10 (75) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 0.73/1.10 (76) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 0.73/1.10 (77) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z
% 0.73/1.10 ) }.
% 0.73/1.10 (78) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X
% 0.73/1.10 , Y ) }.
% 0.73/1.10 (79) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 0.73/1.10 (80) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 0.73/1.10 (81) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 0.73/1.10 (82) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.73/1.10 (83) {G0,W8,D3,L1,V2,M1} { r3( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.73/1.10 (84) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol5( X, Y ) }.
% 0.73/1.10 (85) {G0,W7,D3,L1,V2,M1} { r2( skol20( X, Y ), skol5( X, Y ) ) }.
% 0.73/1.10 (86) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol20( X, Y ) ) }.
% 0.73/1.10 (87) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 0.73/1.10 (88) {G0,W8,D3,L1,V2,M1} { r4( X, skol18( X, Y ), skol13( X, Y ) ) }.
% 0.73/1.10 (89) {G0,W7,D3,L1,V2,M1} { skol13( X, Y ) = skol6( X, Y ) }.
% 0.73/1.10 (90) {G0,W8,D3,L1,V2,M1} { r3( skol21( X, Y ), X, skol6( X, Y ) ) }.
% 0.73/1.10 (91) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol21( X, Y ) ) }.
% 0.73/1.10 (92) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 0.73/1.10 (93) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 0.73/1.10 (94) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 0.73/1.10 (95) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 0.73/1.10 (96) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 0.73/1.10 (97) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol15( Y ) }.
% 0.73/1.10 (98) {G0,W3,D3,L1,V1,M1} { r1( skol19( Y ) ) }.
% 0.73/1.10 (99) {G0,W6,D3,L1,V1,M1} { r4( X, skol19( X ), skol8( X ) ) }.
% 0.73/1.10 (100) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.73/1.10 (101) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 0.73/1.10 (102) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 0.73/1.10 (103) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 0.73/1.10 (104) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 0.73/1.10 (105) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.73/1.10 (106) {G0,W3,D3,L1,V1,M1} { r1( skol11( Y ) ) }.
% 0.73/1.10 (107) {G0,W4,D3,L1,V1,M1} { X = skol11( X ) }.
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Total Proof:
% 0.73/1.10
% 0.73/1.10 subsumption: (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 0.73/1.10 parent0: (87) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := T
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := Z
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 0.73/1.10 }.
% 0.73/1.10 parent0: (105) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := Z
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 1
% 0.73/1.10 2 ==> 2
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (44) {G0,W3,D3,L1,V1,M1} I { r1( skol11( Y ) ) }.
% 0.73/1.10 parent0: (106) {G0,W3,D3,L1,V1,M1} { r1( skol11( Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Z
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 eqswap: (187) {G0,W4,D3,L1,V1,M1} { skol11( X ) = X }.
% 0.73/1.10 parent0[0]: (107) {G0,W4,D3,L1,V1,M1} { X = skol11( X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (45) {G0,W4,D3,L1,V1,M1} I { skol11( X ) ==> X }.
% 0.73/1.10 parent0: (187) {G0,W4,D3,L1,V1,M1} { skol11( X ) = X }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 eqswap: (188) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y ) }.
% 0.73/1.10 parent0[1]: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 0.73/1.10 }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 Z := Z
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 eqrefl: (189) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 0.73/1.10 parent0[0]: (188) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y )
% 0.73/1.10 }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := X
% 0.73/1.10 Z := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (52) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.73/1.10 parent0: (189) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 paramod: (191) {G1,W2,D2,L1,V1,M1} { r1( X ) }.
% 0.73/1.10 parent0[0]: (45) {G0,W4,D3,L1,V1,M1} I { skol11( X ) ==> X }.
% 0.73/1.10 parent1[0; 1]: (44) {G0,W3,D3,L1,V1,M1} I { r1( skol11( Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (53) {G1,W2,D2,L1,V1,M1} S(44);d(45) { r1( Y ) }.
% 0.73/1.10 parent0: (191) {G1,W2,D2,L1,V1,M1} { r1( X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (192) {G2,W3,D2,L1,V2,M1} { ! r2( Y, X ) }.
% 0.73/1.10 parent0[0]: (52) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 0.73/1.10 parent1[0]: (53) {G1,W2,D2,L1,V1,M1} S(44);d(45) { r1( Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := Z
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (59) {G2,W3,D2,L1,V2,M1} S(52);r(53) { ! r2( Y, X ) }.
% 0.73/1.10 parent0: (192) {G2,W3,D2,L1,V2,M1} { ! r2( Y, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (193) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.10 parent0[0]: (59) {G2,W3,D2,L1,V2,M1} S(52);r(53) { ! r2( Y, X ) }.
% 0.73/1.10 parent1[0]: (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := skol18( Y, X )
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := Z
% 0.73/1.10 Y := X
% 0.73/1.10 Z := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (60) {G3,W0,D0,L0,V0,M0} S(25);r(59) { }.
% 0.73/1.10 parent0: (193) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.10 substitution0:
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 Proof check complete!
% 0.73/1.10
% 0.73/1.10 Memory use:
% 0.73/1.10
% 0.73/1.10 space for terms: 1193
% 0.73/1.10 space for clauses: 3704
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 clauses generated: 91
% 0.73/1.10 clauses kept: 61
% 0.73/1.10 clauses selected: 13
% 0.73/1.10 clauses deleted: 10
% 0.73/1.10 clauses inuse deleted: 0
% 0.73/1.10
% 0.73/1.10 subsentry: 516
% 0.73/1.10 literals s-matched: 406
% 0.73/1.10 literals matched: 406
% 0.73/1.10 full subsumption: 36
% 0.73/1.10
% 0.73/1.10 checksum: -443941689
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Bliksem ended
%------------------------------------------------------------------------------