%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 02:42:07 EDT 2022
% Result : Unsatisfiable 0.43s 1.11s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % 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 : Tue Jun 7 10:30:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.11 *** allocated 10000 integers for termspace/termends
% 0.43/1.11 *** allocated 10000 integers for clauses
% 0.43/1.11 *** allocated 10000 integers for justifications
% 0.43/1.11 Bliksem 1.12
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Automatic Strategy Selection
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Clauses:
% 0.43/1.11
% 0.43/1.11 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.43/1.11 { ! Y = X, ! cc1( Y ), cc1( X ) }.
% 0.43/1.11 { ! Y = X, ! cc2( Y ), cc2( X ) }.
% 0.43/1.11 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.43/1.11 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.43/1.11 { ! Z = X, ! rrx( Z, Y ), rrx( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx( Y, Z ), rrx( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx1( Z, Y ), rrx1( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx1( Y, Z ), rrx1( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx1a( Z, Y ), rrx1a( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx1a( Y, Z ), rrx1a( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx2( Z, Y ), rrx2( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx2( Y, Z ), rrx2( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx2a( Z, Y ), rrx2a( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx2a( Y, Z ), rrx2a( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx3( Z, Y ), rrx3( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx3( Y, Z ), rrx3( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx3a( Z, Y ), rrx3a( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx3a( Y, Z ), rrx3a( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx4( Z, Y ), rrx4( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx4( Y, Z ), rrx4( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrx4a( Z, Y ), rrx4a( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrx4a( Y, Z ), rrx4a( Y, X ) }.
% 0.43/1.11 { ! Z = X, ! rrxa( Z, Y ), rrxa( X, Y ) }.
% 0.43/1.11 { ! Z = X, ! rrxa( Y, Z ), rrxa( Y, X ) }.
% 0.43/1.11 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.43/1.11 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.43/1.11 { cowlThing( X ) }.
% 0.43/1.11 { ! cowlNothing( X ) }.
% 0.43/1.11 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.43/1.11 { xsd_integer( X ), xsd_string( X ) }.
% 0.43/1.11 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.43/1.11 { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.43/1.11 { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.43/1.11 { ! alpha2( X ), alpha3( X ) }.
% 0.43/1.11 { ! alpha2( X ), alpha4( X ) }.
% 0.43/1.11 { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.43/1.11 { ! alpha4( X ), cc1( skol1( Y ) ) }.
% 0.43/1.11 { ! alpha4( X ), rrx3( X, skol1( X ) ) }.
% 0.43/1.11 { ! rrx3( X, Y ), ! cc1( Y ), alpha4( X ) }.
% 0.43/1.11 { ! alpha3( X ), ! rrx3( X, Y ), ! alpha5( Y ) }.
% 0.43/1.11 { alpha5( skol2( Y ) ), alpha3( X ) }.
% 0.43/1.11 { rrx3( X, skol2( X ) ), alpha3( X ) }.
% 0.43/1.11 { ! alpha5( X ), cc2( X ) }.
% 0.43/1.11 { ! alpha5( X ), cc1( X ) }.
% 0.43/1.11 { ! cc2( X ), ! cc1( X ), alpha5( X ) }.
% 0.43/1.11 { ! alpha1( X ), cc2( skol3( Y ) ) }.
% 0.43/1.11 { ! alpha1( X ), rrx4( X, skol3( X ) ) }.
% 0.43/1.11 { ! rrx4( X, Y ), ! cc2( Y ), alpha1( X ) }.
% 0.43/1.11 { ! rrx( Z, X ), ! rrx( Z, Y ), X = Y }.
% 0.43/1.11 { ! rrx3( Z, X ), ! rrx3( Z, Y ), X = Y }.
% 0.43/1.11 { ! rrx3a( Z, X ), ! rrx3a( Z, Y ), X = Y }.
% 0.43/1.11 { ! rrx4( Z, X ), ! rrx4( Z, Y ), X = Y }.
% 0.43/1.11 { ! rrx4a( Z, X ), ! rrx4a( Z, Y ), X = Y }.
% 0.43/1.11 { cUnsatisfiable( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 { ! rrx3( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 { ! rrx3a( X, Y ), rrxa( X, Y ) }.
% 0.43/1.11 { ! rrx4a( X, Y ), rrxa( X, Y ) }.
% 0.43/1.11 { ! rrx4( X, Y ), rrx2( X, Y ) }.
% 0.43/1.11 { ! rrx3a( X, Y ), rrx1a( X, Y ) }.
% 0.43/1.11 { ! rrx4a( X, Y ), rrx2a( X, Y ) }.
% 0.43/1.11 { ! rrx3( X, Y ), rrx1( X, Y ) }.
% 0.43/1.11 { ! rrx4( X, Y ), rrx( X, Y ) }.
% 0.43/1.11
% 0.43/1.11 percentage equality = 0.198758, percentage horn = 0.952381
% 0.43/1.11 This is a problem with some equality
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Options Used:
% 0.43/1.11
% 0.43/1.11 useres = 1
% 0.43/1.11 useparamod = 1
% 0.43/1.11 useeqrefl = 1
% 0.43/1.11 useeqfact = 1
% 0.43/1.11 usefactor = 1
% 0.43/1.11 usesimpsplitting = 0
% 0.43/1.11 usesimpdemod = 5
% 0.43/1.11 usesimpres = 3
% 0.43/1.11
% 0.43/1.11 resimpinuse = 1000
% 0.43/1.11 resimpclauses = 20000
% 0.43/1.11 substype = eqrewr
% 0.43/1.11 backwardsubs = 1
% 0.43/1.11 selectoldest = 5
% 0.43/1.11
% 0.43/1.11 litorderings [0] = split
% 0.43/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.11
% 0.43/1.11 termordering = kbo
% 0.43/1.11
% 0.43/1.11 litapriori = 0
% 0.43/1.11 termapriori = 1
% 0.43/1.11 litaposteriori = 0
% 0.43/1.11 termaposteriori = 0
% 0.43/1.11 demodaposteriori = 0
% 0.43/1.11 ordereqreflfact = 0
% 0.43/1.11
% 0.43/1.11 litselect = negord
% 0.43/1.11
% 0.43/1.11 maxweight = 15
% 0.43/1.11 maxdepth = 30000
% 0.43/1.11 maxlength = 115
% 0.43/1.11 maxnrvars = 195
% 0.43/1.11 excuselevel = 1
% 0.43/1.11 increasemaxweight = 1
% 0.43/1.11
% 0.43/1.11 maxselected = 10000000
% 0.43/1.11 maxnrclauses = 10000000
% 0.43/1.11
% 0.43/1.11 showgenerated = 0
% 0.43/1.11 showkept = 0
% 0.43/1.11 showselected = 0
% 0.43/1.11 showdeleted = 0
% 0.43/1.11 showresimp = 1
% 0.43/1.11 showstatus = 2000
% 0.43/1.11
% 0.43/1.11 prologoutput = 0
% 0.43/1.11 nrgoals = 5000000
% 0.43/1.11 totalproof = 1
% 0.43/1.11
% 0.43/1.11 Symbols occurring in the translation:
% 0.43/1.11
% 0.43/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.11 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.43/1.11 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.43/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.11 cUnsatisfiable [37, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.11 cc1 [38, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.11 cc2 [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.11 cowlNothing [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.11 cowlThing [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.11 rrx [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.11 rrx1 [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.43/1.11 rrx1a [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.43/1.11 rrx2 [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.43/1.11 rrx2a [47, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.43/1.11 rrx3 [48, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.43/1.11 rrx3a [49, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.43/1.11 rrx4 [50, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.43/1.11 rrx4a [51, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.43/1.11 rrxa [52, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.43/1.11 xsd_integer [53, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.11 xsd_string [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.11 i2003_11_14_17_18_32242 [58, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.11 alpha1 [59, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.43/1.11 alpha2 [60, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.43/1.11 alpha3 [61, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.43/1.11 alpha4 [62, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.43/1.11 alpha5 [63, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.43/1.11 skol1 [64, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.43/1.11 skol2 [65, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.43/1.11 skol3 [66, 1] (w:1, o:32, a:1, s:1, b:1).
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Starting Search:
% 0.43/1.11
% 0.43/1.11 *** allocated 15000 integers for clauses
% 0.43/1.11 *** allocated 22500 integers for clauses
% 0.43/1.11 *** allocated 33750 integers for clauses
% 0.43/1.11
% 0.43/1.11 Bliksems!, er is een bewijs:
% 0.43/1.11 % SZS status Unsatisfiable
% 0.43/1.11 % SZS output start Refutation
% 0.43/1.11
% 0.43/1.11 (2) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cc2( Y ), cc2( X ) }.
% 0.43/1.11 (31) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.43/1.11 (32) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.43/1.11 (34) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.43/1.11 (35) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.43/1.11 (37) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cc1( skol1( Y ) ) }.
% 0.43/1.11 (38) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rrx3( X, skol1( X ) ) }.
% 0.43/1.11 (40) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rrx3( X, Y ), ! alpha5( Y )
% 0.43/1.11 }.
% 0.43/1.11 (45) {G0,W6,D2,L3,V1,M3} I { ! cc2( X ), ! cc1( X ), alpha5( X ) }.
% 0.43/1.11 (46) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cc2( skol3( Y ) ) }.
% 0.43/1.11 (47) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rrx4( X, skol3( X ) ) }.
% 0.43/1.11 (49) {G0,W9,D2,L3,V3,M3} I { ! rrx( Z, X ), ! rrx( Z, Y ), X = Y }.
% 0.43/1.11 (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (55) {G0,W6,D2,L2,V2,M2} I { ! rrx3( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 (62) {G0,W6,D2,L2,V2,M2} I { ! rrx4( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 (68) {G1,W2,D2,L1,V0,M1} R(32,54) { alpha2( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (69) {G2,W2,D2,L1,V0,M1} R(68,34) { alpha3( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (70) {G2,W2,D2,L1,V0,M1} R(68,35) { alpha4( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (78) {G1,W2,D2,L1,V0,M1} R(31,54) { alpha1( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (85) {G2,W3,D3,L1,V1,M1} R(46,78) { cc2( skol3( X ) ) }.
% 0.43/1.11 (87) {G3,W6,D3,L2,V2,M2} R(85,2) { ! skol3( X ) = Y, cc2( Y ) }.
% 0.43/1.11 (95) {G3,W3,D3,L1,V1,M1} R(37,70) { cc1( skol1( X ) ) }.
% 0.43/1.11 (111) {G4,W6,D3,L2,V1,M2} R(45,95) { ! cc2( skol1( X ) ), alpha5( skol1( X
% 0.43/1.11 ) ) }.
% 0.43/1.11 (135) {G1,W6,D3,L2,V1,M2} R(47,62) { ! alpha1( X ), rrx( X, skol3( X ) )
% 0.43/1.11 }.
% 0.43/1.11 (161) {G2,W6,D3,L2,V1,M2} R(135,31) { rrx( X, skol3( X ) ), !
% 0.43/1.11 cUnsatisfiable( X ) }.
% 0.43/1.11 (181) {G3,W4,D3,L1,V0,M1} R(38,70) { rrx3( i2003_11_14_17_18_32242, skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 (183) {G4,W4,D3,L1,V0,M1} R(181,55) { rrx( i2003_11_14_17_18_32242, skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 (275) {G4,W3,D3,L1,V0,M1} R(40,181);r(69) { ! alpha5( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 (298) {G5,W3,D3,L1,V0,M1} R(275,111) { ! cc2( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 (300) {G6,W5,D3,L1,V1,M1} R(298,87) { ! skol3( X ) = skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (423) {G5,W7,D3,L2,V1,M2} R(49,183) { ! rrx( i2003_11_14_17_18_32242, X ),
% 0.43/1.11 skol1( i2003_11_14_17_18_32242 ) = X }.
% 0.43/1.11 (572) {G7,W4,D3,L1,V1,M1} P(423,300);q { ! rrx( i2003_11_14_17_18_32242,
% 0.43/1.11 skol3( X ) ) }.
% 0.43/1.11 (608) {G8,W0,D0,L0,V0,M0} R(572,161);r(54) { }.
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 % SZS output end Refutation
% 0.43/1.11 found a proof!
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Unprocessed initial clauses:
% 0.43/1.11
% 0.43/1.11 (610) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.43/1.11 ( X ) }.
% 0.43/1.11 (611) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc1( Y ), cc1( X ) }.
% 0.43/1.11 (612) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc2( Y ), cc2( X ) }.
% 0.43/1.11 (613) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.43/1.11 }.
% 0.43/1.11 (614) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.43/1.11 (615) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx( Z, Y ), rrx( X, Y ) }.
% 0.43/1.11 (616) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx( Y, Z ), rrx( Y, X ) }.
% 0.43/1.11 (617) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx1( Z, Y ), rrx1( X, Y ) }.
% 0.43/1.11 (618) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx1( Y, Z ), rrx1( Y, X ) }.
% 0.43/1.11 (619) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx1a( Z, Y ), rrx1a( X, Y ) }.
% 0.43/1.11 (620) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx1a( Y, Z ), rrx1a( Y, X ) }.
% 0.43/1.11 (621) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx2( Z, Y ), rrx2( X, Y ) }.
% 0.43/1.11 (622) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx2( Y, Z ), rrx2( Y, X ) }.
% 0.43/1.11 (623) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx2a( Z, Y ), rrx2a( X, Y ) }.
% 0.43/1.11 (624) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx2a( Y, Z ), rrx2a( Y, X ) }.
% 0.43/1.11 (625) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx3( Z, Y ), rrx3( X, Y ) }.
% 0.43/1.11 (626) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx3( Y, Z ), rrx3( Y, X ) }.
% 0.43/1.11 (627) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx3a( Z, Y ), rrx3a( X, Y ) }.
% 0.43/1.11 (628) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx3a( Y, Z ), rrx3a( Y, X ) }.
% 0.43/1.11 (629) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx4( Z, Y ), rrx4( X, Y ) }.
% 0.43/1.11 (630) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx4( Y, Z ), rrx4( Y, X ) }.
% 0.43/1.11 (631) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx4a( Z, Y ), rrx4a( X, Y ) }.
% 0.43/1.11 (632) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrx4a( Y, Z ), rrx4a( Y, X ) }.
% 0.43/1.11 (633) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrxa( Z, Y ), rrxa( X, Y ) }.
% 0.43/1.11 (634) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rrxa( Y, Z ), rrxa( Y, X ) }.
% 0.43/1.11 (635) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.43/1.11 }.
% 0.43/1.11 (636) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.43/1.11 }.
% 0.43/1.11 (637) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.43/1.11 (638) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.43/1.11 (639) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.43/1.11 (640) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.43/1.11 (641) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.43/1.11 (642) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.43/1.11 (643) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable(
% 0.43/1.11 X ) }.
% 0.43/1.11 (644) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 0.43/1.11 (645) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.43/1.11 (646) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 0.43/1.11 (647) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cc1( skol1( Y ) ) }.
% 0.43/1.11 (648) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rrx3( X, skol1( X ) ) }.
% 0.43/1.11 (649) {G0,W7,D2,L3,V2,M3} { ! rrx3( X, Y ), ! cc1( Y ), alpha4( X ) }.
% 0.43/1.11 (650) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rrx3( X, Y ), ! alpha5( Y )
% 0.43/1.11 }.
% 0.43/1.11 (651) {G0,W5,D3,L2,V2,M2} { alpha5( skol2( Y ) ), alpha3( X ) }.
% 0.43/1.11 (652) {G0,W6,D3,L2,V1,M2} { rrx3( X, skol2( X ) ), alpha3( X ) }.
% 0.43/1.11 (653) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), cc2( X ) }.
% 0.43/1.11 (654) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), cc1( X ) }.
% 0.43/1.11 (655) {G0,W6,D2,L3,V1,M3} { ! cc2( X ), ! cc1( X ), alpha5( X ) }.
% 0.43/1.11 (656) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), cc2( skol3( Y ) ) }.
% 0.43/1.11 (657) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rrx4( X, skol3( X ) ) }.
% 0.43/1.11 (658) {G0,W7,D2,L3,V2,M3} { ! rrx4( X, Y ), ! cc2( Y ), alpha1( X ) }.
% 0.43/1.11 (659) {G0,W9,D2,L3,V3,M3} { ! rrx( Z, X ), ! rrx( Z, Y ), X = Y }.
% 0.43/1.11 (660) {G0,W9,D2,L3,V3,M3} { ! rrx3( Z, X ), ! rrx3( Z, Y ), X = Y }.
% 0.43/1.11 (661) {G0,W9,D2,L3,V3,M3} { ! rrx3a( Z, X ), ! rrx3a( Z, Y ), X = Y }.
% 0.43/1.11 (662) {G0,W9,D2,L3,V3,M3} { ! rrx4( Z, X ), ! rrx4( Z, Y ), X = Y }.
% 0.43/1.11 (663) {G0,W9,D2,L3,V3,M3} { ! rrx4a( Z, X ), ! rrx4a( Z, Y ), X = Y }.
% 0.43/1.11 (664) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 (665) {G0,W6,D2,L2,V2,M2} { ! rrx3( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 (666) {G0,W6,D2,L2,V2,M2} { ! rrx3a( X, Y ), rrxa( X, Y ) }.
% 0.43/1.11 (667) {G0,W6,D2,L2,V2,M2} { ! rrx4a( X, Y ), rrxa( X, Y ) }.
% 0.43/1.11 (668) {G0,W6,D2,L2,V2,M2} { ! rrx4( X, Y ), rrx2( X, Y ) }.
% 0.43/1.11 (669) {G0,W6,D2,L2,V2,M2} { ! rrx3a( X, Y ), rrx1a( X, Y ) }.
% 0.43/1.11 (670) {G0,W6,D2,L2,V2,M2} { ! rrx4a( X, Y ), rrx2a( X, Y ) }.
% 0.43/1.11 (671) {G0,W6,D2,L2,V2,M2} { ! rrx3( X, Y ), rrx1( X, Y ) }.
% 0.43/1.11 (672) {G0,W6,D2,L2,V2,M2} { ! rrx4( X, Y ), rrx( X, Y ) }.
% 0.43/1.11
% 0.43/1.11
% 0.43/1.11 Total Proof:
% 0.43/1.11
% 0.43/1.11 subsumption: (2) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cc2( Y ), cc2( X ) }.
% 0.43/1.11 parent0: (612) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc2( Y ), cc2( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 2 ==> 2
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (31) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.43/1.11 ) }.
% 0.43/1.11 parent0: (641) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (32) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.43/1.11 ) }.
% 0.43/1.11 parent0: (642) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (34) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.43/1.11 parent0: (644) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (35) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.43/1.11 parent0: (645) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (37) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cc1( skol1( Y ) )
% 0.43/1.11 }.
% 0.43/1.11 parent0: (647) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cc1( skol1( Y ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 *** allocated 15000 integers for termspace/termends
% 0.43/1.11 subsumption: (38) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rrx3( X, skol1( X
% 0.43/1.11 ) ) }.
% 0.43/1.11 parent0: (648) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rrx3( X, skol1( X ) )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (40) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rrx3( X, Y ), !
% 0.43/1.11 alpha5( Y ) }.
% 0.43/1.11 parent0: (650) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rrx3( X, Y ), !
% 0.43/1.11 alpha5( Y ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 2 ==> 2
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (45) {G0,W6,D2,L3,V1,M3} I { ! cc2( X ), ! cc1( X ), alpha5( X
% 0.43/1.11 ) }.
% 0.43/1.11 parent0: (655) {G0,W6,D2,L3,V1,M3} { ! cc2( X ), ! cc1( X ), alpha5( X )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 2 ==> 2
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (46) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cc2( skol3( Y ) )
% 0.43/1.11 }.
% 0.43/1.11 parent0: (656) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), cc2( skol3( Y ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (47) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rrx4( X, skol3( X
% 0.43/1.11 ) ) }.
% 0.43/1.11 parent0: (657) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rrx4( X, skol3( X ) )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (49) {G0,W9,D2,L3,V3,M3} I { ! rrx( Z, X ), ! rrx( Z, Y ), X =
% 0.43/1.11 Y }.
% 0.43/1.11 parent0: (659) {G0,W9,D2,L3,V3,M3} { ! rrx( Z, X ), ! rrx( Z, Y ), X = Y
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 Z := Z
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 2 ==> 2
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 parent0: (664) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 *** allocated 50625 integers for clauses
% 0.43/1.11 subsumption: (55) {G0,W6,D2,L2,V2,M2} I { ! rrx3( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 parent0: (665) {G0,W6,D2,L2,V2,M2} { ! rrx3( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (62) {G0,W6,D2,L2,V2,M2} I { ! rrx4( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 parent0: (672) {G0,W6,D2,L2,V2,M2} { ! rrx4( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1070) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 parent0[0]: (32) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.43/1.11 }.
% 0.43/1.11 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (68) {G1,W2,D2,L1,V0,M1} R(32,54) { alpha2(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 parent0: (1070) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1071) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 parent0[0]: (34) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 0.43/1.11 parent1[0]: (68) {G1,W2,D2,L1,V0,M1} R(32,54) { alpha2(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (69) {G2,W2,D2,L1,V0,M1} R(68,34) { alpha3(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 parent0: (1071) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1072) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 parent0[0]: (35) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.43/1.11 parent1[0]: (68) {G1,W2,D2,L1,V0,M1} R(32,54) { alpha2(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (70) {G2,W2,D2,L1,V0,M1} R(68,35) { alpha4(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 parent0: (1072) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1073) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 parent0[0]: (31) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.43/1.11 }.
% 0.43/1.11 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (78) {G1,W2,D2,L1,V0,M1} R(31,54) { alpha1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 parent0: (1073) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_18_32242 )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1074) {G1,W3,D3,L1,V1,M1} { cc2( skol3( X ) ) }.
% 0.43/1.11 parent0[0]: (46) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cc2( skol3( Y ) )
% 0.43/1.11 }.
% 0.43/1.11 parent1[0]: (78) {G1,W2,D2,L1,V0,M1} R(31,54) { alpha1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 Y := X
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (85) {G2,W3,D3,L1,V1,M1} R(46,78) { cc2( skol3( X ) ) }.
% 0.43/1.11 parent0: (1074) {G1,W3,D3,L1,V1,M1} { cc2( skol3( X ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 eqswap: (1075) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc2( X ), cc2( Y ) }.
% 0.43/1.11 parent0[0]: (2) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cc2( Y ), cc2( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := Y
% 0.43/1.11 Y := X
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1076) {G1,W6,D3,L2,V2,M2} { ! X = skol3( Y ), cc2( X ) }.
% 0.43/1.11 parent0[1]: (1075) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc2( X ), cc2( Y ) }.
% 0.43/1.11 parent1[0]: (85) {G2,W3,D3,L1,V1,M1} R(46,78) { cc2( skol3( X ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := skol3( Y )
% 0.43/1.11 Y := X
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 X := Y
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 eqswap: (1077) {G1,W6,D3,L2,V2,M2} { ! skol3( Y ) = X, cc2( X ) }.
% 0.43/1.11 parent0[0]: (1076) {G1,W6,D3,L2,V2,M2} { ! X = skol3( Y ), cc2( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := Y
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (87) {G3,W6,D3,L2,V2,M2} R(85,2) { ! skol3( X ) = Y, cc2( Y )
% 0.43/1.11 }.
% 0.43/1.11 parent0: (1077) {G1,W6,D3,L2,V2,M2} { ! skol3( Y ) = X, cc2( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := Y
% 0.43/1.11 Y := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1078) {G1,W3,D3,L1,V1,M1} { cc1( skol1( X ) ) }.
% 0.43/1.11 parent0[0]: (37) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cc1( skol1( Y ) )
% 0.43/1.11 }.
% 0.43/1.11 parent1[0]: (70) {G2,W2,D2,L1,V0,M1} R(68,35) { alpha4(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 Y := X
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (95) {G3,W3,D3,L1,V1,M1} R(37,70) { cc1( skol1( X ) ) }.
% 0.43/1.11 parent0: (1078) {G1,W3,D3,L1,V1,M1} { cc1( skol1( X ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1079) {G1,W6,D3,L2,V1,M2} { ! cc2( skol1( X ) ), alpha5(
% 0.43/1.11 skol1( X ) ) }.
% 0.43/1.11 parent0[1]: (45) {G0,W6,D2,L3,V1,M3} I { ! cc2( X ), ! cc1( X ), alpha5( X
% 0.43/1.11 ) }.
% 0.43/1.11 parent1[0]: (95) {G3,W3,D3,L1,V1,M1} R(37,70) { cc1( skol1( X ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := skol1( X )
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (111) {G4,W6,D3,L2,V1,M2} R(45,95) { ! cc2( skol1( X ) ),
% 0.43/1.11 alpha5( skol1( X ) ) }.
% 0.43/1.11 parent0: (1079) {G1,W6,D3,L2,V1,M2} { ! cc2( skol1( X ) ), alpha5( skol1(
% 0.43/1.11 X ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1080) {G1,W6,D3,L2,V1,M2} { rrx( X, skol3( X ) ), ! alpha1( X
% 0.43/1.11 ) }.
% 0.43/1.11 parent0[0]: (62) {G0,W6,D2,L2,V2,M2} I { ! rrx4( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 parent1[1]: (47) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rrx4( X, skol3( X )
% 0.43/1.11 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 Y := skol3( X )
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (135) {G1,W6,D3,L2,V1,M2} R(47,62) { ! alpha1( X ), rrx( X,
% 0.43/1.11 skol3( X ) ) }.
% 0.43/1.11 parent0: (1080) {G1,W6,D3,L2,V1,M2} { rrx( X, skol3( X ) ), ! alpha1( X )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 1
% 0.43/1.11 1 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1081) {G1,W6,D3,L2,V1,M2} { rrx( X, skol3( X ) ), !
% 0.43/1.11 cUnsatisfiable( X ) }.
% 0.43/1.11 parent0[0]: (135) {G1,W6,D3,L2,V1,M2} R(47,62) { ! alpha1( X ), rrx( X,
% 0.43/1.11 skol3( X ) ) }.
% 0.43/1.11 parent1[1]: (31) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.43/1.11 }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (161) {G2,W6,D3,L2,V1,M2} R(135,31) { rrx( X, skol3( X ) ), !
% 0.43/1.11 cUnsatisfiable( X ) }.
% 0.43/1.11 parent0: (1081) {G1,W6,D3,L2,V1,M2} { rrx( X, skol3( X ) ), !
% 0.43/1.11 cUnsatisfiable( X ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := X
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 1 ==> 1
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1082) {G1,W4,D3,L1,V0,M1} { rrx3( i2003_11_14_17_18_32242,
% 0.43/1.11 skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0[0]: (38) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rrx3( X, skol1( X )
% 0.43/1.11 ) }.
% 0.43/1.11 parent1[0]: (70) {G2,W2,D2,L1,V0,M1} R(68,35) { alpha4(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (181) {G3,W4,D3,L1,V0,M1} R(38,70) { rrx3(
% 0.43/1.11 i2003_11_14_17_18_32242, skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0: (1082) {G1,W4,D3,L1,V0,M1} { rrx3( i2003_11_14_17_18_32242, skol1
% 0.43/1.11 ( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1083) {G1,W4,D3,L1,V0,M1} { rrx( i2003_11_14_17_18_32242,
% 0.43/1.11 skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0[0]: (55) {G0,W6,D2,L2,V2,M2} I { ! rrx3( X, Y ), rrx( X, Y ) }.
% 0.43/1.11 parent1[0]: (181) {G3,W4,D3,L1,V0,M1} R(38,70) { rrx3(
% 0.43/1.11 i2003_11_14_17_18_32242, skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 Y := skol1( i2003_11_14_17_18_32242 )
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (183) {G4,W4,D3,L1,V0,M1} R(181,55) { rrx(
% 0.43/1.11 i2003_11_14_17_18_32242, skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0: (1083) {G1,W4,D3,L1,V0,M1} { rrx( i2003_11_14_17_18_32242, skol1
% 0.43/1.11 ( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1084) {G1,W5,D3,L2,V0,M2} { ! alpha3( i2003_11_14_17_18_32242
% 0.43/1.11 ), ! alpha5( skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0[1]: (40) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rrx3( X, Y ), !
% 0.43/1.11 alpha5( Y ) }.
% 0.43/1.11 parent1[0]: (181) {G3,W4,D3,L1,V0,M1} R(38,70) { rrx3(
% 0.43/1.11 i2003_11_14_17_18_32242, skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 X := i2003_11_14_17_18_32242
% 0.43/1.11 Y := skol1( i2003_11_14_17_18_32242 )
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1085) {G2,W3,D3,L1,V0,M1} { ! alpha5( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0[0]: (1084) {G1,W5,D3,L2,V0,M2} { ! alpha3( i2003_11_14_17_18_32242
% 0.43/1.11 ), ! alpha5( skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent1[0]: (69) {G2,W2,D2,L1,V0,M1} R(68,34) { alpha3(
% 0.43/1.11 i2003_11_14_17_18_32242 ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 substitution1:
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 subsumption: (275) {G4,W3,D3,L1,V0,M1} R(40,181);r(69) { ! alpha5( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0: (1085) {G2,W3,D3,L1,V0,M1} { ! alpha5( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 substitution0:
% 0.43/1.11 end
% 0.43/1.11 permutation0:
% 0.43/1.11 0 ==> 0
% 0.43/1.11 end
% 0.43/1.11
% 0.43/1.11 resolution: (1086) {G5,W3,D3,L1,V0,M1} { ! cc2( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent0[0]: (275) {G4,W3,D3,L1,V0,M1} R(40,181);r(69) { ! alpha5( skol1(
% 0.43/1.11 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.11 parent1[1]: (111) {G4,W6,D3,L2,V1,M2} R(45,95) { ! cc2( skol1( X ) ),
% 0.43/1.11 alpha5( skol1( X ) ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 end
% 0.43/1.12 substitution1:
% 0.43/1.12 X := i2003_11_14_17_18_32242
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 subsumption: (298) {G5,W3,D3,L1,V0,M1} R(275,111) { ! cc2( skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.12 parent0: (1086) {G5,W3,D3,L1,V0,M1} { ! cc2( skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 end
% 0.43/1.12 permutation0:
% 0.43/1.12 0 ==> 0
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 eqswap: (1087) {G3,W6,D3,L2,V2,M2} { ! Y = skol3( X ), cc2( Y ) }.
% 0.43/1.12 parent0[0]: (87) {G3,W6,D3,L2,V2,M2} R(85,2) { ! skol3( X ) = Y, cc2( Y )
% 0.43/1.12 }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 Y := Y
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 resolution: (1088) {G4,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_18_32242
% 0.43/1.12 ) = skol3( X ) }.
% 0.43/1.12 parent0[0]: (298) {G5,W3,D3,L1,V0,M1} R(275,111) { ! cc2( skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.12 parent1[1]: (1087) {G3,W6,D3,L2,V2,M2} { ! Y = skol3( X ), cc2( Y ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 end
% 0.43/1.12 substitution1:
% 0.43/1.12 X := X
% 0.43/1.12 Y := skol1( i2003_11_14_17_18_32242 )
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 eqswap: (1089) {G4,W5,D3,L1,V1,M1} { ! skol3( X ) = skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 parent0[0]: (1088) {G4,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_18_32242
% 0.43/1.12 ) = skol3( X ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 subsumption: (300) {G6,W5,D3,L1,V1,M1} R(298,87) { ! skol3( X ) = skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 parent0: (1089) {G4,W5,D3,L1,V1,M1} { ! skol3( X ) = skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12 permutation0:
% 0.43/1.12 0 ==> 0
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 resolution: (1090) {G1,W7,D3,L2,V1,M2} { ! rrx( i2003_11_14_17_18_32242, X
% 0.43/1.12 ), skol1( i2003_11_14_17_18_32242 ) = X }.
% 0.43/1.12 parent0[0]: (49) {G0,W9,D2,L3,V3,M3} I { ! rrx( Z, X ), ! rrx( Z, Y ), X =
% 0.43/1.12 Y }.
% 0.43/1.12 parent1[0]: (183) {G4,W4,D3,L1,V0,M1} R(181,55) { rrx(
% 0.43/1.12 i2003_11_14_17_18_32242, skol1( i2003_11_14_17_18_32242 ) ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := skol1( i2003_11_14_17_18_32242 )
% 0.43/1.12 Y := X
% 0.43/1.12 Z := i2003_11_14_17_18_32242
% 0.43/1.12 end
% 0.43/1.12 substitution1:
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 subsumption: (423) {G5,W7,D3,L2,V1,M2} R(49,183) { ! rrx(
% 0.43/1.12 i2003_11_14_17_18_32242, X ), skol1( i2003_11_14_17_18_32242 ) = X }.
% 0.43/1.12 parent0: (1090) {G1,W7,D3,L2,V1,M2} { ! rrx( i2003_11_14_17_18_32242, X )
% 0.43/1.12 , skol1( i2003_11_14_17_18_32242 ) = X }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12 permutation0:
% 0.43/1.12 0 ==> 0
% 0.43/1.12 1 ==> 1
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 *** allocated 22500 integers for termspace/termends
% 0.43/1.12 *** allocated 33750 integers for termspace/termends
% 0.43/1.12 eqswap: (1092) {G5,W7,D3,L2,V1,M2} { X = skol1( i2003_11_14_17_18_32242 )
% 0.43/1.12 , ! rrx( i2003_11_14_17_18_32242, X ) }.
% 0.43/1.12 parent0[1]: (423) {G5,W7,D3,L2,V1,M2} R(49,183) { ! rrx(
% 0.43/1.12 i2003_11_14_17_18_32242, X ), skol1( i2003_11_14_17_18_32242 ) = X }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 eqswap: (1093) {G6,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_18_32242 ) =
% 0.43/1.12 skol3( X ) }.
% 0.43/1.12 parent0[0]: (300) {G6,W5,D3,L1,V1,M1} R(298,87) { ! skol3( X ) = skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 paramod: (1096) {G6,W9,D3,L2,V1,M2} { ! skol1( i2003_11_14_17_18_32242 ) =
% 0.43/1.12 skol1( i2003_11_14_17_18_32242 ), ! rrx( i2003_11_14_17_18_32242, skol3
% 0.43/1.12 ( X ) ) }.
% 0.43/1.12 parent0[0]: (1092) {G5,W7,D3,L2,V1,M2} { X = skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ), ! rrx( i2003_11_14_17_18_32242, X ) }.
% 0.43/1.12 parent1[0; 4]: (1093) {G6,W5,D3,L1,V1,M1} { ! skol1(
% 0.43/1.12 i2003_11_14_17_18_32242 ) = skol3( X ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := skol3( X )
% 0.43/1.12 end
% 0.43/1.12 substitution1:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 eqrefl: (1360) {G0,W4,D3,L1,V1,M1} { ! rrx( i2003_11_14_17_18_32242, skol3
% 0.43/1.12 ( X ) ) }.
% 0.43/1.12 parent0[0]: (1096) {G6,W9,D3,L2,V1,M2} { ! skol1( i2003_11_14_17_18_32242
% 0.43/1.12 ) = skol1( i2003_11_14_17_18_32242 ), ! rrx( i2003_11_14_17_18_32242,
% 0.43/1.12 skol3( X ) ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 subsumption: (572) {G7,W4,D3,L1,V1,M1} P(423,300);q { ! rrx(
% 0.43/1.12 i2003_11_14_17_18_32242, skol3( X ) ) }.
% 0.43/1.12 parent0: (1360) {G0,W4,D3,L1,V1,M1} { ! rrx( i2003_11_14_17_18_32242,
% 0.43/1.12 skol3( X ) ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := X
% 0.43/1.12 end
% 0.43/1.12 permutation0:
% 0.43/1.12 0 ==> 0
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 resolution: (1361) {G3,W2,D2,L1,V0,M1} { ! cUnsatisfiable(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 parent0[0]: (572) {G7,W4,D3,L1,V1,M1} P(423,300);q { ! rrx(
% 0.43/1.12 i2003_11_14_17_18_32242, skol3( X ) ) }.
% 0.43/1.12 parent1[0]: (161) {G2,W6,D3,L2,V1,M2} R(135,31) { rrx( X, skol3( X ) ), !
% 0.43/1.12 cUnsatisfiable( X ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 X := i2003_11_14_17_18_32242
% 0.43/1.12 end
% 0.43/1.12 substitution1:
% 0.43/1.12 X := i2003_11_14_17_18_32242
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 resolution: (1362) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.12 parent0[0]: (1361) {G3,W2,D2,L1,V0,M1} { ! cUnsatisfiable(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.43/1.12 i2003_11_14_17_18_32242 ) }.
% 0.43/1.12 substitution0:
% 0.43/1.12 end
% 0.43/1.12 substitution1:
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 subsumption: (608) {G8,W0,D0,L0,V0,M0} R(572,161);r(54) { }.
% 0.43/1.12 parent0: (1362) {G1,W0,D0,L0,V0,M0} { }.
% 0.43/1.12 substitution0:
% 0.43/1.12 end
% 0.43/1.12 permutation0:
% 0.43/1.12 end
% 0.43/1.12
% 0.43/1.12 Proof check complete!
% 0.43/1.12
% 0.43/1.12 Memory use:
% 0.43/1.12
% 0.43/1.12 space for terms: 7992
% 0.43/1.12 space for clauses: 25001
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 clauses generated: 1561
% 0.43/1.12 clauses kept: 609
% 0.43/1.12 clauses selected: 130
% 0.43/1.12 clauses deleted: 5
% 0.43/1.12 clauses inuse deleted: 0
% 0.43/1.12
% 0.43/1.12 subsentry: 11816
% 0.43/1.12 literals s-matched: 5715
% 0.43/1.12 literals matched: 5715
% 0.43/1.12 full subsumption: 974
% 0.43/1.12
% 0.43/1.12 checksum: 1159195731
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Bliksem ended
%------------------------------------------------------------------------------