TSTP Solution File: KRS119+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS119+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 02:42:20 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Tue Jun 7 08:35:20 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.72/1.13 { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 0.72/1.13 { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 0.72/1.13 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.72/1.13 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.13 { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.72/1.13 { ! Y = X, ! cp1xcomp( Y ), cp1xcomp( X ) }.
% 0.72/1.13 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.72/1.13 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.72/1.13 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.72/1.13 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.72/1.13 { cowlThing( X ) }.
% 0.72/1.13 { ! cowlNothing( X ) }.
% 0.72/1.13 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.13 { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.13 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.13 { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.72/1.13 { ! alpha1( X ), ! cp1( X ), cUnsatisfiable( X ) }.
% 0.72/1.13 { ! alpha1( X ), ca_Vx3( skol1( Y ) ) }.
% 0.72/1.13 { ! alpha1( X ), rr( X, skol1( X ) ) }.
% 0.72/1.13 { ! rr( X, Y ), ! ca_Vx3( Y ), alpha1( X ) }.
% 0.72/1.13 { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.72/1.13 { ra_Px1( X, skol2( X ) ), cp1( X ) }.
% 0.72/1.13 { ! cp1xcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 0.72/1.13 { ! ra_Px1( X, Y ), cp1xcomp( X ) }.
% 0.72/1.13 { ! ca_Ax2( X ), cp1( X ) }.
% 0.72/1.13 { ! ca_Ax2( X ), alpha2( X ) }.
% 0.72/1.13 { ! cp1( X ), ! alpha2( X ), ca_Ax2( X ) }.
% 0.72/1.13 { ! alpha2( X ), ! rinvR( X, Y ), cp1xcomp( Y ) }.
% 0.72/1.13 { ! cp1xcomp( skol4( Y ) ), alpha2( X ) }.
% 0.72/1.13 { rinvR( X, skol4( X ) ), alpha2( X ) }.
% 0.72/1.13 { ! ca_Vx3( X ), ca_Ax2( skol5( Y ) ) }.
% 0.72/1.13 { ! ca_Vx3( X ), rr( X, skol5( X ) ) }.
% 0.72/1.13 { ! rr( X, Y ), ! ca_Ax2( Y ), ca_Vx3( X ) }.
% 0.72/1.13 { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 0.72/1.13 { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.72/1.13 { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.72/1.13 { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.72/1.13 { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.72/1.13 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 { cUnsatisfiable( i2003_11_14_17_21_44786 ) }.
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.163934, percentage horn = 0.938776
% 0.72/1.13 This is a problem with some equality
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 0
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 cUnsatisfiable [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.13 ca_Ax2 [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 ca_Vx3 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.13 cowlNothing [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.13 cowlThing [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.13 cp1 [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.13 cp1xcomp [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.13 ra_Px1 [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.13 rf [46, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.13 rinvF [47, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.13 rinvR [48, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.13 rr [49, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.13 xsd_integer [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.13 xsd_string [51, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.13 i2003_11_14_17_21_44786 [57, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.13 alpha1 [58, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.72/1.13 alpha2 [59, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.72/1.13 skol1 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.72/1.13 skol2 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.72/1.13 skol3 [62, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.72/1.13 skol4 [63, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.72/1.13 skol5 [64, 1] (w:1, o:35, a:1, s:1, b:1).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for clauses
% 0.72/1.13 *** allocated 22500 integers for clauses
% 0.72/1.13 *** allocated 33750 integers for clauses
% 0.72/1.13 *** allocated 15000 integers for termspace/termends
% 0.72/1.13 *** allocated 50625 integers for clauses
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13 *** allocated 22500 integers for termspace/termends
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.13 (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.72/1.13 (26) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol1( Y ) ) }.
% 0.72/1.13 (27) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol1( X ) ) }.
% 0.72/1.13 (29) {G0,W5,D2,L2,V2,M2} I { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.72/1.13 (31) {G0,W6,D3,L2,V1,M2} I { ! cp1xcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 0.72/1.13 (34) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha2( X ) }.
% 0.72/1.13 (36) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvR( X, Y ), cp1xcomp( Y )
% 0.72/1.13 }.
% 0.72/1.13 (39) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), ca_Ax2( skol5( Y ) ) }.
% 0.72/1.13 (40) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rr( X, skol5( X ) ) }.
% 0.72/1.13 (41) {G0,W7,D2,L3,V2,M3} I { ! rr( X, Y ), ! ca_Ax2( Y ), ca_Vx3( X ) }.
% 0.72/1.13 (46) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.72/1.13 (47) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 (48) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 (52) {G1,W2,D2,L1,V0,M1} R(24,48) { cp1( i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 (54) {G1,W2,D2,L1,V0,M1} R(23,48) { alpha1( i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 (58) {G2,W3,D2,L1,V1,M1} R(29,52) { ! ra_Px1( i2003_11_14_17_21_44786, X )
% 0.72/1.13 }.
% 0.72/1.13 (71) {G1,W5,D3,L2,V2,M2} R(39,34) { ! ca_Vx3( X ), alpha2( skol5( Y ) ) }.
% 0.72/1.13 (78) {G2,W3,D3,L1,V1,M1} R(26,54) { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 (79) {G3,W3,D3,L1,V1,M1} R(78,71) { alpha2( skol5( X ) ) }.
% 0.72/1.13 (81) {G3,W3,D3,L1,V1,M1} R(78,39) { ca_Ax2( skol5( X ) ) }.
% 0.72/1.13 (140) {G1,W6,D3,L2,V1,M2} R(40,46) { ! ca_Vx3( X ), rinvR( skol5( X ), X )
% 0.72/1.13 }.
% 0.72/1.13 (141) {G3,W6,D4,L1,V1,M1} R(40,78) { rr( skol1( X ), skol5( skol1( X ) ) )
% 0.72/1.13 }.
% 0.72/1.13 (163) {G3,W2,D2,L1,V0,M1} R(31,58) { ! cp1xcomp( i2003_11_14_17_21_44786 )
% 0.72/1.13 }.
% 0.72/1.13 (237) {G1,W6,D3,L2,V1,M2} R(27,23) { rr( X, skol1( X ) ), ! cUnsatisfiable
% 0.72/1.13 ( X ) }.
% 0.72/1.13 (325) {G4,W4,D2,L2,V1,M2} R(36,140);r(79) { cp1xcomp( X ), ! ca_Vx3( X )
% 0.72/1.13 }.
% 0.72/1.13 (383) {G5,W2,D2,L1,V0,M1} R(325,163) { ! ca_Vx3( i2003_11_14_17_21_44786 )
% 0.72/1.13 }.
% 0.72/1.13 (466) {G6,W5,D2,L2,V1,M2} R(383,41) { ! rr( i2003_11_14_17_21_44786, X ), !
% 0.72/1.13 ca_Ax2( X ) }.
% 0.72/1.13 (553) {G7,W4,D3,L1,V1,M1} R(466,81) { ! rr( i2003_11_14_17_21_44786, skol5
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 (555) {G8,W7,D3,L2,V2,M2} R(553,47) { ! rr( i2003_11_14_17_21_44786, X ), !
% 0.72/1.13 rr( X, skol5( Y ) ) }.
% 0.72/1.13 (1211) {G9,W4,D3,L1,V1,M1} R(555,141) { ! rr( i2003_11_14_17_21_44786,
% 0.72/1.13 skol1( X ) ) }.
% 0.72/1.13 (1222) {G10,W0,D0,L0,V0,M0} R(1211,237);r(48) { }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Unprocessed initial clauses:
% 0.72/1.13
% 0.72/1.13 (1224) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 0.72/1.13 cUnsatisfiable( X ) }.
% 0.72/1.13 (1225) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 0.72/1.13 (1226) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 0.72/1.13 (1227) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.72/1.13 }.
% 0.72/1.13 (1228) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.13 (1229) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.72/1.13 (1230) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1xcomp( Y ), cp1xcomp( X ) }.
% 0.72/1.13 (1231) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.72/1.13 (1232) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.72/1.13 (1233) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.72/1.13 (1234) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.72/1.13 (1235) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.72/1.13 (1236) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.72/1.13 (1237) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.72/1.13 (1238) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.72/1.13 (1239) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 (1240) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.72/1.13 (1241) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.72/1.13 }.
% 0.72/1.13 (1242) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.72/1.13 }.
% 0.72/1.13 (1243) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.72/1.13 (1244) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.72/1.13 (1245) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.13 (1246) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.13 (1247) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.13 (1248) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.72/1.13 (1249) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! cp1( X ), cUnsatisfiable( X
% 0.72/1.13 ) }.
% 0.72/1.13 (1250) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Vx3( skol1( Y ) ) }.
% 0.72/1.13 (1251) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rr( X, skol1( X ) ) }.
% 0.72/1.13 (1252) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! ca_Vx3( Y ), alpha1( X ) }.
% 0.72/1.13 (1253) {G0,W5,D2,L2,V2,M2} { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.72/1.13 (1254) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol2( X ) ), cp1( X ) }.
% 0.72/1.13 (1255) {G0,W6,D3,L2,V1,M2} { ! cp1xcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 0.72/1.13 (1256) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), cp1xcomp( X ) }.
% 0.72/1.13 (1257) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), cp1( X ) }.
% 0.72/1.13 (1258) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha2( X ) }.
% 0.72/1.13 (1259) {G0,W6,D2,L3,V1,M3} { ! cp1( X ), ! alpha2( X ), ca_Ax2( X ) }.
% 0.72/1.13 (1260) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rinvR( X, Y ), cp1xcomp( Y )
% 0.72/1.13 }.
% 0.72/1.13 (1261) {G0,W5,D3,L2,V2,M2} { ! cp1xcomp( skol4( Y ) ), alpha2( X ) }.
% 0.72/1.13 (1262) {G0,W6,D3,L2,V1,M2} { rinvR( X, skol4( X ) ), alpha2( X ) }.
% 0.72/1.13 (1263) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), ca_Ax2( skol5( Y ) ) }.
% 0.72/1.13 (1264) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rr( X, skol5( X ) ) }.
% 0.72/1.13 (1265) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! ca_Ax2( Y ), ca_Vx3( X ) }.
% 0.72/1.13 (1266) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z )
% 0.72/1.13 , Y = Z }.
% 0.72/1.13 (1267) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.72/1.13 (1268) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.72/1.13 (1269) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.72/1.13 (1270) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.72/1.13 (1271) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.13 (1272) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_44786 ) }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Total Proof:
% 0.72/1.13
% 0.72/1.13 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1247) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cp1( X )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (1248) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), cp1( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (26) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol1( Y )
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1250) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Vx3( skol1( Y ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (27) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol1( X )
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1251) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rr( X, skol1( X ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (29) {G0,W5,D2,L2,V2,M2} I { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.72/1.13 parent0: (1253) {G0,W5,D2,L2,V2,M2} { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (31) {G0,W6,D3,L2,V1,M2} I { ! cp1xcomp( X ), ra_Px1( X, skol3
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 parent0: (1255) {G0,W6,D3,L2,V1,M2} { ! cp1xcomp( X ), ra_Px1( X, skol3( X
% 0.72/1.13 ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 *** allocated 75937 integers for clauses
% 0.72/1.13 subsumption: (34) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha2( X ) }.
% 0.72/1.13 parent0: (1258) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha2( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (36) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvR( X, Y ),
% 0.72/1.13 cp1xcomp( Y ) }.
% 0.72/1.13 parent0: (1260) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rinvR( X, Y ),
% 0.72/1.13 cp1xcomp( Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (39) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), ca_Ax2( skol5( Y )
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1263) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), ca_Ax2( skol5( Y ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (40) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rr( X, skol5( X )
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (1264) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rr( X, skol5( X ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (41) {G0,W7,D2,L3,V2,M3} I { ! rr( X, Y ), ! ca_Ax2( Y ),
% 0.72/1.13 ca_Vx3( X ) }.
% 0.72/1.13 parent0: (1265) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! ca_Ax2( Y ), ca_Vx3
% 0.72/1.13 ( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (46) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.72/1.13 parent0: (1270) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (47) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), ! rr( Z, Y ), rr( X
% 0.72/1.13 , Y ) }.
% 0.72/1.13 parent0: (1271) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (48) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0: (1272) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1544) {G1,W2,D2,L1,V0,M1} { cp1( i2003_11_14_17_21_44786 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cp1( X )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (52) {G1,W2,D2,L1,V0,M1} R(24,48) { cp1(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0: (1544) {G1,W2,D2,L1,V0,M1} { cp1( i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1545) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_44786 )
% 0.72/1.13 }.
% 0.72/1.13 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (54) {G1,W2,D2,L1,V0,M1} R(23,48) { alpha1(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0: (1545) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_44786 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1546) {G1,W3,D2,L1,V1,M1} { ! ra_Px1( i2003_11_14_17_21_44786
% 0.72/1.13 , X ) }.
% 0.72/1.13 parent0[0]: (29) {G0,W5,D2,L2,V2,M2} I { ! cp1( X ), ! ra_Px1( X, Y ) }.
% 0.72/1.13 parent1[0]: (52) {G1,W2,D2,L1,V0,M1} R(24,48) { cp1(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (58) {G2,W3,D2,L1,V1,M1} R(29,52) { ! ra_Px1(
% 0.72/1.13 i2003_11_14_17_21_44786, X ) }.
% 0.72/1.13 parent0: (1546) {G1,W3,D2,L1,V1,M1} { ! ra_Px1( i2003_11_14_17_21_44786, X
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1547) {G1,W5,D3,L2,V2,M2} { alpha2( skol5( X ) ), ! ca_Vx3( Y
% 0.72/1.13 ) }.
% 0.72/1.13 parent0[0]: (34) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha2( X ) }.
% 0.72/1.13 parent1[1]: (39) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), ca_Ax2( skol5( Y )
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol5( X )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (71) {G1,W5,D3,L2,V2,M2} R(39,34) { ! ca_Vx3( X ), alpha2(
% 0.72/1.13 skol5( Y ) ) }.
% 0.72/1.13 parent0: (1547) {G1,W5,D3,L2,V2,M2} { alpha2( skol5( X ) ), ! ca_Vx3( Y )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1548) {G1,W3,D3,L1,V1,M1} { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 parent0[0]: (26) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Vx3( skol1( Y )
% 0.72/1.13 ) }.
% 0.72/1.13 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(23,48) { alpha1(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (78) {G2,W3,D3,L1,V1,M1} R(26,54) { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 parent0: (1548) {G1,W3,D3,L1,V1,M1} { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1549) {G2,W3,D3,L1,V1,M1} { alpha2( skol5( Y ) ) }.
% 0.72/1.13 parent0[0]: (71) {G1,W5,D3,L2,V2,M2} R(39,34) { ! ca_Vx3( X ), alpha2(
% 0.72/1.13 skol5( Y ) ) }.
% 0.72/1.13 parent1[0]: (78) {G2,W3,D3,L1,V1,M1} R(26,54) { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol1( X )
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (79) {G3,W3,D3,L1,V1,M1} R(78,71) { alpha2( skol5( X ) ) }.
% 0.72/1.13 parent0: (1549) {G2,W3,D3,L1,V1,M1} { alpha2( skol5( Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1550) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol5( Y ) ) }.
% 0.72/1.13 parent0[0]: (39) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), ca_Ax2( skol5( Y )
% 0.72/1.13 ) }.
% 0.72/1.13 parent1[0]: (78) {G2,W3,D3,L1,V1,M1} R(26,54) { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol1( X )
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (81) {G3,W3,D3,L1,V1,M1} R(78,39) { ca_Ax2( skol5( X ) ) }.
% 0.72/1.13 parent0: (1550) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol5( Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1551) {G1,W6,D3,L2,V1,M2} { rinvR( skol5( X ), X ), ! ca_Vx3
% 0.72/1.13 ( X ) }.
% 0.72/1.13 parent0[0]: (46) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.72/1.13 parent1[1]: (40) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rr( X, skol5( X ) )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol5( X )
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (140) {G1,W6,D3,L2,V1,M2} R(40,46) { ! ca_Vx3( X ), rinvR(
% 0.72/1.13 skol5( X ), X ) }.
% 0.72/1.13 parent0: (1551) {G1,W6,D3,L2,V1,M2} { rinvR( skol5( X ), X ), ! ca_Vx3( X
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1552) {G1,W6,D4,L1,V1,M1} { rr( skol1( X ), skol5( skol1( X )
% 0.72/1.13 ) ) }.
% 0.72/1.13 parent0[0]: (40) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rr( X, skol5( X ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[0]: (78) {G2,W3,D3,L1,V1,M1} R(26,54) { ca_Vx3( skol1( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol1( X )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (141) {G3,W6,D4,L1,V1,M1} R(40,78) { rr( skol1( X ), skol5(
% 0.72/1.13 skol1( X ) ) ) }.
% 0.72/1.13 parent0: (1552) {G1,W6,D4,L1,V1,M1} { rr( skol1( X ), skol5( skol1( X ) )
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1553) {G1,W2,D2,L1,V0,M1} { ! cp1xcomp(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0[0]: (58) {G2,W3,D2,L1,V1,M1} R(29,52) { ! ra_Px1(
% 0.72/1.13 i2003_11_14_17_21_44786, X ) }.
% 0.72/1.13 parent1[1]: (31) {G0,W6,D3,L2,V1,M2} I { ! cp1xcomp( X ), ra_Px1( X, skol3
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol3( i2003_11_14_17_21_44786 )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (163) {G3,W2,D2,L1,V0,M1} R(31,58) { ! cp1xcomp(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0: (1553) {G1,W2,D2,L1,V0,M1} { ! cp1xcomp( i2003_11_14_17_21_44786
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1554) {G1,W6,D3,L2,V1,M2} { rr( X, skol1( X ) ), !
% 0.72/1.13 cUnsatisfiable( X ) }.
% 0.72/1.13 parent0[0]: (27) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rr( X, skol1( X ) )
% 0.72/1.13 }.
% 0.72/1.13 parent1[1]: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (237) {G1,W6,D3,L2,V1,M2} R(27,23) { rr( X, skol1( X ) ), !
% 0.72/1.13 cUnsatisfiable( X ) }.
% 0.72/1.13 parent0: (1554) {G1,W6,D3,L2,V1,M2} { rr( X, skol1( X ) ), !
% 0.72/1.13 cUnsatisfiable( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1555) {G1,W7,D3,L3,V1,M3} { ! alpha2( skol5( X ) ), cp1xcomp
% 0.72/1.13 ( X ), ! ca_Vx3( X ) }.
% 0.72/1.13 parent0[1]: (36) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvR( X, Y ),
% 0.72/1.13 cp1xcomp( Y ) }.
% 0.72/1.13 parent1[1]: (140) {G1,W6,D3,L2,V1,M2} R(40,46) { ! ca_Vx3( X ), rinvR(
% 0.72/1.13 skol5( X ), X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol5( X )
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1556) {G2,W4,D2,L2,V1,M2} { cp1xcomp( X ), ! ca_Vx3( X ) }.
% 0.72/1.13 parent0[0]: (1555) {G1,W7,D3,L3,V1,M3} { ! alpha2( skol5( X ) ), cp1xcomp
% 0.72/1.13 ( X ), ! ca_Vx3( X ) }.
% 0.72/1.13 parent1[0]: (79) {G3,W3,D3,L1,V1,M1} R(78,71) { alpha2( skol5( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (325) {G4,W4,D2,L2,V1,M2} R(36,140);r(79) { cp1xcomp( X ), !
% 0.72/1.13 ca_Vx3( X ) }.
% 0.72/1.13 parent0: (1556) {G2,W4,D2,L2,V1,M2} { cp1xcomp( X ), ! ca_Vx3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1557) {G4,W2,D2,L1,V0,M1} { ! ca_Vx3( i2003_11_14_17_21_44786
% 0.72/1.13 ) }.
% 0.72/1.13 parent0[0]: (163) {G3,W2,D2,L1,V0,M1} R(31,58) { ! cp1xcomp(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent1[0]: (325) {G4,W4,D2,L2,V1,M2} R(36,140);r(79) { cp1xcomp( X ), !
% 0.72/1.13 ca_Vx3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (383) {G5,W2,D2,L1,V0,M1} R(325,163) { ! ca_Vx3(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0: (1557) {G4,W2,D2,L1,V0,M1} { ! ca_Vx3( i2003_11_14_17_21_44786 )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1558) {G1,W5,D2,L2,V1,M2} { ! rr( i2003_11_14_17_21_44786, X
% 0.72/1.13 ), ! ca_Ax2( X ) }.
% 0.72/1.13 parent0[0]: (383) {G5,W2,D2,L1,V0,M1} R(325,163) { ! ca_Vx3(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent1[2]: (41) {G0,W7,D2,L3,V2,M3} I { ! rr( X, Y ), ! ca_Ax2( Y ),
% 0.72/1.13 ca_Vx3( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (466) {G6,W5,D2,L2,V1,M2} R(383,41) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, X ), ! ca_Ax2( X ) }.
% 0.72/1.13 parent0: (1558) {G1,W5,D2,L2,V1,M2} { ! rr( i2003_11_14_17_21_44786, X ),
% 0.72/1.13 ! ca_Ax2( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1559) {G4,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_21_44786,
% 0.72/1.13 skol5( X ) ) }.
% 0.72/1.13 parent0[1]: (466) {G6,W5,D2,L2,V1,M2} R(383,41) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, X ), ! ca_Ax2( X ) }.
% 0.72/1.13 parent1[0]: (81) {G3,W3,D3,L1,V1,M1} R(78,39) { ca_Ax2( skol5( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol5( X )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (553) {G7,W4,D3,L1,V1,M1} R(466,81) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, skol5( X ) ) }.
% 0.72/1.13 parent0: (1559) {G4,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_21_44786, skol5
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1560) {G1,W7,D3,L2,V2,M2} { ! rr( i2003_11_14_17_21_44786, Y
% 0.72/1.13 ), ! rr( Y, skol5( X ) ) }.
% 0.72/1.13 parent0[0]: (553) {G7,W4,D3,L1,V1,M1} R(466,81) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, skol5( X ) ) }.
% 0.72/1.13 parent1[2]: (47) {G0,W9,D2,L3,V3,M3} I { ! rr( X, Z ), ! rr( Z, Y ), rr( X
% 0.72/1.13 , Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 Y := skol5( X )
% 0.72/1.13 Z := Y
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (555) {G8,W7,D3,L2,V2,M2} R(553,47) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, X ), ! rr( X, skol5( Y ) ) }.
% 0.72/1.13 parent0: (1560) {G1,W7,D3,L2,V2,M2} { ! rr( i2003_11_14_17_21_44786, Y ),
% 0.72/1.13 ! rr( Y, skol5( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := Y
% 0.72/1.13 Y := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1561) {G4,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_21_44786,
% 0.72/1.13 skol1( X ) ) }.
% 0.72/1.13 parent0[1]: (555) {G8,W7,D3,L2,V2,M2} R(553,47) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, X ), ! rr( X, skol5( Y ) ) }.
% 0.72/1.13 parent1[0]: (141) {G3,W6,D4,L1,V1,M1} R(40,78) { rr( skol1( X ), skol5(
% 0.72/1.13 skol1( X ) ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := skol1( X )
% 0.72/1.13 Y := skol1( X )
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (1211) {G9,W4,D3,L1,V1,M1} R(555,141) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, skol1( X ) ) }.
% 0.72/1.13 parent0: (1561) {G4,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_21_44786, skol1
% 0.72/1.13 ( X ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1562) {G2,W2,D2,L1,V0,M1} { ! cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent0[0]: (1211) {G9,W4,D3,L1,V1,M1} R(555,141) { ! rr(
% 0.72/1.13 i2003_11_14_17_21_44786, skol1( X ) ) }.
% 0.72/1.13 parent1[0]: (237) {G1,W6,D3,L2,V1,M2} R(27,23) { rr( X, skol1( X ) ), !
% 0.72/1.13 cUnsatisfiable( X ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 X := i2003_11_14_17_21_44786
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 resolution: (1563) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.13 parent0[0]: (1562) {G2,W2,D2,L1,V0,M1} { ! cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.13 i2003_11_14_17_21_44786 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 substitution1:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (1222) {G10,W0,D0,L0,V0,M0} R(1211,237);r(48) { }.
% 0.72/1.13 parent0: (1563) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.13 substitution0:
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 Proof check complete!
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 15290
% 0.72/1.13 space for clauses: 46820
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 5179
% 0.72/1.13 clauses kept: 1223
% 0.72/1.13 clauses selected: 233
% 0.72/1.13 clauses deleted: 36
% 0.72/1.13 clauses inuse deleted: 12
% 0.72/1.13
% 0.72/1.13 subsentry: 14954
% 0.72/1.13 literals s-matched: 12395
% 0.72/1.13 literals matched: 12115
% 0.72/1.13 full subsumption: 5575
% 0.72/1.13
% 0.72/1.13 checksum: 1281067575
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------