TSTP Solution File: NUN067+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.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 08:04:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { alpha1( skol1, X ), ! r1( X ) }.
% 0.70/1.10 { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.70/1.10 { ! alpha1( X, Y ), id( Y, X ) }.
% 0.70/1.10 { ! alpha1( X, Y ), r1( Y ) }.
% 0.70/1.10 { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.70/1.10 { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.70/1.10 { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X ) ) }.
% 0.70/1.10 { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.70/1.10 { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.70/1.10 { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z ) }.
% 0.70/1.10 { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y, Z ) }.
% 0.70/1.10 { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z, skol3( X, Y ) ) }.
% 0.70/1.10 { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.70/1.10 { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.70/1.10 { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 0.70/1.10 { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y, Z ) }.
% 0.70/1.10 { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z, skol4( X, Y ) ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.70/1.10 { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y, Z, T ) }.
% 0.70/1.10 { id( X, X ) }.
% 0.70/1.10 { ! id( X, Y ), id( Y, X ) }.
% 0.70/1.10 { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.70/1.10 { alpha5( X, Y ), r1( X ) }.
% 0.70/1.10 { alpha5( X, Y ), r1( Y ) }.
% 0.70/1.10 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.70/1.10 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.70/1.10 { id( X, Y ), alpha5( X, Y ) }.
% 0.70/1.10 { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.70/1.10 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z ) }.
% 0.70/1.10 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X, Z ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y, T ) }.
% 0.70/1.10 { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.70/1.10 { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T ) }.
% 0.70/1.10 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( X, Z, U ) }.
% 0.70/1.10 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( Y, T, W ) }.
% 0.70/1.10 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( X, Z, U ) }.
% 0.70/1.10 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( Y, T, W ) }.
% 0.70/1.10 { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( X, Z, U ) }.
% 0.70/1.10 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( Y, T, W ) }.
% 0.70/1.10 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( X, Z, U ) }.
% 0.70/1.10 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( Y, T, W ) }.
% 0.70/1.10 { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.10 { r2( Y, skol17( Z, Y ) ) }.
% 0.70/1.10 { r3( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.70/1.10 { r2( skol20( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.10 { r3( X, Y, skol20( X, Y ) ) }.
% 0.70/1.10 { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 0.70/1.10 { r2( Y, skol18( Z, Y ) ) }.
% 0.70/1.10 { r4( X, skol18( X, Y ), skol13( X, Y ) ) }.
% 0.70/1.10 { r3( skol21( X, Y ), X, skol6( X, Y ) ) }.
% 0.70/1.10 { r4( X, Y, skol21( X, Y ) ) }.
% 0.70/1.10 { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id( X, Y ) }.
% 0.70/1.10 { id( skol7( X ), X ) }.
% 0.70/1.10 { r1( skol14( Y ) ) }.
% 0.70/1.10 { r3( X, skol14( X ), skol7( X ) ) }.
% 0.70/1.10 { r1( skol15( Z ) ) }.
% 0.70/1.10 { id( skol8( Y ), skol15( Y ) ) }.
% 0.70/1.10 { r1( skol19( Y ) ) }.
% 0.70/1.10 { r4( X, skol19( X ), skol8( X ) ) }.
% 0.70/1.10 { alpha9( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.70/1.10 { alpha9( X ), id( X, skol9( X ) ) }.
% 0.70/1.10 { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.70/1.10 { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.70/1.10 { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.70/1.10 { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.70/1.10 { r1( skol11( Y ) ) }.
% 0.70/1.10 { id( X, skol11( X ) ) }.
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.000000, percentage horn = 0.763889
% 0.70/1.10 This a non-horn, non-equality problem
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 0
% 0.70/1.10 useeqrefl = 0
% 0.70/1.10 useeqfact = 0
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 0
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = standard
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = liftord
% 0.70/1.10
% 0.70/1.10 termordering = none
% 0.70/1.10
% 0.70/1.10 litapriori = 1
% 0.70/1.10 termapriori = 0
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = none
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.10 maxlength = 115
% 0.70/1.10 maxnrvars = 195
% 0.70/1.10 excuselevel = 1
% 0.70/1.10 increasemaxweight = 1
% 0.70/1.10
% 0.70/1.10 maxselected = 10000000
% 0.70/1.10 maxnrclauses = 10000000
% 0.70/1.10
% 0.70/1.10 showgenerated = 0
% 0.70/1.10 showkept = 0
% 0.70/1.10 showselected = 0
% 0.70/1.10 showdeleted = 0
% 0.70/1.10 showresimp = 1
% 0.70/1.10 showstatus = 2000
% 0.70/1.10
% 0.70/1.10 prologoutput = 0
% 0.70/1.10 nrgoals = 5000000
% 0.70/1.10 totalproof = 1
% 0.70/1.10
% 0.70/1.10 Symbols occurring in the translation:
% 0.70/1.10
% 0.70/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.10 . [1, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.70/1.10 ! [4, 1] (w:0, o:74, a:1, s:1, b:0),
% 0.70/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.10 id [37, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.70/1.10 r1 [38, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.70/1.10 r2 [42, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.70/1.10 r3 [47, 3] (w:1, o:129, a:1, s:1, b:0),
% 0.70/1.10 r4 [52, 3] (w:1, o:130, a:1, s:1, b:0),
% 0.70/1.10 alpha1 [107, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.70/1.10 alpha2 [108, 3] (w:1, o:131, a:1, s:1, b:0),
% 0.70/1.10 alpha3 [109, 4] (w:1, o:132, a:1, s:1, b:0),
% 0.70/1.10 alpha4 [110, 4] (w:1, o:133, a:1, s:1, b:0),
% 0.70/1.10 alpha5 [111, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.70/1.10 alpha6 [112, 4] (w:1, o:134, a:1, s:1, b:0),
% 0.70/1.10 alpha7 [113, 6] (w:1, o:135, a:1, s:1, b:0),
% 0.70/1.10 alpha8 [114, 6] (w:1, o:136, a:1, s:1, b:0),
% 0.70/1.10 alpha9 [115, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.70/1.10 skol1 [116, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.70/1.10 skol2 [117, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.70/1.10 skol3 [118, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.70/1.10 skol4 [119, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.70/1.10 skol5 [120, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.70/1.10 skol6 [121, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.70/1.10 skol7 [122, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.70/1.10 skol8 [123, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.70/1.10 skol9 [124, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.70/1.10 skol10 [125, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.70/1.10 skol11 [126, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.70/1.10 skol12 [127, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.70/1.10 skol13 [128, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.70/1.10 skol14 [129, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.70/1.10 skol15 [130, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.70/1.10 skol16 [131, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.70/1.10 skol17 [132, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.70/1.10 skol18 [133, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.70/1.10 skol19 [134, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.70/1.10 skol20 [135, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.70/1.10 skol21 [136, 2] (w:1, o:120, a:1, s:1, b:0).
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Starting Search:
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksems!, er is een bewijs:
% 0.70/1.10 % SZS status Theorem
% 0.70/1.10 % SZS output start Refutation
% 0.70/1.10
% 0.70/1.10 (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 0.70/1.10 (49) {G0,W7,D3,L1,V2,M1} I { r2( skol20( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.10 (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z, X ) }.
% 0.70/1.10 (70) {G0,W3,D3,L1,V1,M1} I { r1( skol11( Y ) ) }.
% 0.70/1.10 (71) {G0,W4,D3,L1,V1,M1} I { id( X, skol11( X ) ) }.
% 0.70/1.10 (87) {G1,W4,D3,L1,V1,M1} R(21,71) { id( skol11( X ), X ) }.
% 0.70/1.10 (118) {G1,W7,D3,L2,V3,M1} R(69,49) { ! r1( X ), ! id( X, skol5( Y, Z ) )
% 0.70/1.10 }.
% 0.70/1.10 (125) {G2,W0,D0,L0,V0,M0} R(118,87);r(70) { }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 % SZS output end Refutation
% 0.70/1.10 found a proof!
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Unprocessed initial clauses:
% 0.70/1.10
% 0.70/1.10 (127) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), ! r1( X ) }.
% 0.70/1.10 (128) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 0.70/1.10 (129) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), id( Y, X ) }.
% 0.70/1.10 (130) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 0.70/1.10 (131) {G0,W8,D2,L3,V2,M3} { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 0.70/1.10 (132) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 0.70/1.10 (133) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X
% 0.70/1.10 ) ) }.
% 0.70/1.10 (134) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 0.70/1.10 (135) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 0.70/1.10 (136) {G0,W10,D2,L3,V3,M3} { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z )
% 0.70/1.10 }.
% 0.70/1.10 (137) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y
% 0.70/1.10 , Z ) }.
% 0.70/1.10 (138) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z,
% 0.70/1.10 skol3( X, Y ) ) }.
% 0.70/1.10 (139) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 0.70/1.10 (140) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 0.70/1.10 (141) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y,
% 0.70/1.10 Z, T ) }.
% 0.70/1.10 (142) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y
% 0.70/1.10 , Z ) }.
% 0.70/1.10 (143) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z,
% 0.70/1.10 skol4( X, Y ) ) }.
% 0.70/1.10 (144) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 0.70/1.10 (145) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 0.70/1.10 (146) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y,
% 0.70/1.10 Z, T ) }.
% 0.70/1.10 (147) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 0.70/1.10 (148) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 0.70/1.10 (149) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 0.70/1.10 (150) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 0.70/1.10 (151) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 0.70/1.10 (152) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 0.70/1.10 (153) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 0.70/1.10 (154) {G0,W6,D2,L2,V2,M2} { id( X, Y ), alpha5( X, Y ) }.
% 0.70/1.10 (155) {G0,W7,D2,L3,V2,M3} { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 0.70/1.10 (156) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z
% 0.70/1.10 ) }.
% 0.70/1.10 (157) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T
% 0.70/1.10 ) }.
% 0.70/1.10 (158) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X
% 0.70/1.10 , Z ) }.
% 0.70/1.10 (159) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y
% 0.70/1.10 , T ) }.
% 0.70/1.10 (160) {G0,W8,D2,L2,V4,M2} { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 0.70/1.10 (161) {G0,W11,D2,L3,V4,M3} { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T )
% 0.70/1.10 }.
% 0.70/1.10 (162) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.70/1.10 T, U, W ), r3( X, Z, U ) }.
% 0.70/1.10 (163) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z,
% 0.70/1.10 T, U, W ), r3( Y, T, W ) }.
% 0.70/1.10 (164) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.70/1.10 r3( X, Z, U ) }.
% 0.70/1.10 (165) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.70/1.10 r3( Y, T, W ) }.
% 0.70/1.10 (166) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.70/1.10 (167) {G0,W15,D2,L3,V6,M3} { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z
% 0.70/1.10 , T, U, W ) }.
% 0.70/1.10 (168) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.70/1.10 T, U, W ), r4( X, Z, U ) }.
% 0.70/1.10 (169) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z,
% 0.70/1.10 T, U, W ), r4( Y, T, W ) }.
% 0.70/1.10 (170) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.70/1.10 r4( X, Z, U ) }.
% 0.70/1.10 (171) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), !
% 0.70/1.10 r4( Y, T, W ) }.
% 0.70/1.10 (172) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 0.70/1.10 (173) {G0,W15,D2,L3,V6,M3} { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z
% 0.70/1.10 , T, U, W ) }.
% 0.70/1.10 (174) {G0,W7,D3,L1,V2,M1} { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.10 (175) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 0.70/1.10 (176) {G0,W8,D3,L1,V2,M1} { r3( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 0.70/1.10 (177) {G0,W7,D3,L1,V2,M1} { r2( skol20( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.10 (178) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol20( X, Y ) ) }.
% 0.70/1.10 (179) {G0,W7,D3,L1,V2,M1} { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 0.70/1.10 (180) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 0.70/1.10 (181) {G0,W8,D3,L1,V2,M1} { r4( X, skol18( X, Y ), skol13( X, Y ) ) }.
% 0.70/1.10 (182) {G0,W8,D3,L1,V2,M1} { r3( skol21( X, Y ), X, skol6( X, Y ) ) }.
% 0.70/1.10 (183) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol21( X, Y ) ) }.
% 0.70/1.10 (184) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id
% 0.70/1.10 ( X, Y ) }.
% 0.70/1.10 (185) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 0.70/1.10 (186) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 0.70/1.10 (187) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 0.70/1.10 (188) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 0.70/1.10 (189) {G0,W5,D3,L1,V1,M1} { id( skol8( Y ), skol15( Y ) ) }.
% 0.70/1.10 (190) {G0,W3,D3,L1,V1,M1} { r1( skol19( Y ) ) }.
% 0.70/1.10 (191) {G0,W6,D3,L1,V1,M1} { r4( X, skol19( X ), skol8( X ) ) }.
% 0.70/1.10 (192) {G0,W7,D3,L2,V2,M2} { alpha9( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 0.70/1.10 (193) {G0,W6,D3,L2,V1,M2} { alpha9( X ), id( X, skol9( X ) ) }.
% 0.70/1.10 (194) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), r1( skol10( Y ) ) }.
% 0.70/1.10 (195) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), id( X, skol10( X ) ) }.
% 0.70/1.10 (196) {G0,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 0.70/1.10 (197) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 0.70/1.10 (198) {G0,W3,D3,L1,V1,M1} { r1( skol11( Y ) ) }.
% 0.70/1.10 (199) {G0,W4,D3,L1,V1,M1} { id( X, skol11( X ) ) }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Total Proof:
% 0.70/1.10
% 0.70/1.10 subsumption: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 0.70/1.10 parent0: (148) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (49) {G0,W7,D3,L1,V2,M1} I { r2( skol20( X, Y ), skol5( X, Y )
% 0.70/1.10 ) }.
% 0.70/1.10 parent0: (177) {G0,W7,D3,L1,V2,M1} { r2( skol20( X, Y ), skol5( X, Y ) )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z
% 0.70/1.10 , X ) }.
% 0.70/1.10 parent0: (197) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 Z := Z
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 2 ==> 2
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (70) {G0,W3,D3,L1,V1,M1} I { r1( skol11( Y ) ) }.
% 0.70/1.10 parent0: (198) {G0,W3,D3,L1,V1,M1} { r1( skol11( Y ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := Z
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (71) {G0,W4,D3,L1,V1,M1} I { id( X, skol11( X ) ) }.
% 0.70/1.10 parent0: (199) {G0,W4,D3,L1,V1,M1} { id( X, skol11( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (239) {G1,W4,D3,L1,V1,M1} { id( skol11( X ), X ) }.
% 0.70/1.10 parent0[1]: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 0.70/1.10 parent1[0]: (71) {G0,W4,D3,L1,V1,M1} I { id( X, skol11( X ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := skol11( X )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (87) {G1,W4,D3,L1,V1,M1} R(21,71) { id( skol11( X ), X ) }.
% 0.70/1.10 parent0: (239) {G1,W4,D3,L1,V1,M1} { id( skol11( X ), X ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (240) {G1,W7,D3,L2,V3,M2} { ! r1( X ), ! id( X, skol5( Y, Z )
% 0.70/1.10 ) }.
% 0.70/1.10 parent0[2]: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z,
% 0.70/1.10 X ) }.
% 0.70/1.10 parent1[0]: (49) {G0,W7,D3,L1,V2,M1} I { r2( skol20( X, Y ), skol5( X, Y )
% 0.70/1.10 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := skol5( Y, Z )
% 0.70/1.10 Y := X
% 0.70/1.10 Z := skol20( Y, Z )
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 X := Y
% 0.70/1.10 Y := Z
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (118) {G1,W7,D3,L2,V3,M1} R(69,49) { ! r1( X ), ! id( X, skol5
% 0.70/1.10 ( Y, Z ) ) }.
% 0.70/1.10 parent0: (240) {G1,W7,D3,L2,V3,M2} { ! r1( X ), ! id( X, skol5( Y, Z ) )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 Z := Z
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 *** allocated 15000 integers for clauses
% 0.70/1.10 resolution: (241) {G2,W5,D4,L1,V2,M1} { ! r1( skol11( skol5( X, Y ) ) )
% 0.70/1.10 }.
% 0.70/1.10 parent0[1]: (118) {G1,W7,D3,L2,V3,M1} R(69,49) { ! r1( X ), ! id( X, skol5
% 0.70/1.10 ( Y, Z ) ) }.
% 0.70/1.10 parent1[0]: (87) {G1,W4,D3,L1,V1,M1} R(21,71) { id( skol11( X ), X ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := skol11( skol5( X, Y ) )
% 0.70/1.10 Y := X
% 0.70/1.10 Z := Y
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 X := skol5( X, Y )
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (242) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 parent0[0]: (241) {G2,W5,D4,L1,V2,M1} { ! r1( skol11( skol5( X, Y ) ) )
% 0.70/1.10 }.
% 0.70/1.10 parent1[0]: (70) {G0,W3,D3,L1,V1,M1} I { r1( skol11( Y ) ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 X := X
% 0.70/1.10 Y := Y
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 X := Z
% 0.70/1.10 Y := skol5( X, Y )
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (125) {G2,W0,D0,L0,V0,M0} R(118,87);r(70) { }.
% 0.70/1.10 parent0: (242) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 Proof check complete!
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 2466
% 0.70/1.10 space for clauses: 7537
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 179
% 0.70/1.10 clauses kept: 126
% 0.70/1.10 clauses selected: 71
% 0.70/1.10 clauses deleted: 12
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 79
% 0.70/1.10 literals s-matched: 62
% 0.70/1.10 literals matched: 62
% 0.70/1.10 full subsumption: 4
% 0.70/1.10
% 0.70/1.10 checksum: 50512977
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------