%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:42:17 EDT 2022
% Result : Unsatisfiable 1.62s 2.02s
% Output : Refutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 7 13:47:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.62/2.02 *** allocated 10000 integers for termspace/termends
% 1.62/2.02 *** allocated 10000 integers for clauses
% 1.62/2.02 *** allocated 10000 integers for justifications
% 1.62/2.02 Bliksem 1.12
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Automatic Strategy Selection
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Clauses:
% 1.62/2.02
% 1.62/2.02 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 1.62/2.02 { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 1.62/2.02 { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 1.62/2.02 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 1.62/2.02 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 1.62/2.02 { ! Y = X, ! cp( Y ), cp( X ) }.
% 1.62/2.02 { ! Y = X, ! cpxcomp( Y ), cpxcomp( X ) }.
% 1.62/2.02 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 1.62/2.02 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.62/2.02 { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 1.62/2.02 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.62/2.02 { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 1.62/2.02 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 1.62/2.02 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 1.62/2.02 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 1.62/2.02 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 1.62/2.02 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 1.62/2.02 { cowlThing( X ) }.
% 1.62/2.02 { ! cowlNothing( X ) }.
% 1.62/2.02 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.62/2.02 { xsd_integer( X ), xsd_string( X ) }.
% 1.62/2.02 { ! cUnsatisfiable( X ), cpxcomp( X ) }.
% 1.62/2.02 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.62/2.02 { ! cpxcomp( X ), ! alpha1( X ), cUnsatisfiable( X ) }.
% 1.62/2.02 { ! alpha1( X ), ca_Ax2( skol1( Y ) ) }.
% 1.62/2.02 { ! alpha1( X ), rf( X, skol1( X ) ) }.
% 1.62/2.02 { ! rf( X, Y ), ! ca_Ax2( Y ), alpha1( X ) }.
% 1.62/2.02 { ! cp( X ), ! ra_Px1( X, Y ) }.
% 1.62/2.02 { ra_Px1( X, skol2( X ) ), cp( X ) }.
% 1.62/2.02 { ! cpxcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 1.62/2.02 { ! ra_Px1( X, Y ), cpxcomp( X ) }.
% 1.62/2.02 { ! ca_Ax2( X ), alpha2( X ) }.
% 1.62/2.02 { ! ca_Ax2( X ), alpha3( X ) }.
% 1.62/2.02 { ! alpha2( X ), ! alpha3( X ), ca_Ax2( X ) }.
% 1.62/2.02 { ! alpha3( X ), ! rinvF( X, Y ), ca_Vx3( Y ) }.
% 1.62/2.02 { ! ca_Vx3( skol4( Y ) ), alpha3( X ) }.
% 1.62/2.02 { rinvF( X, skol4( X ) ), alpha3( X ) }.
% 1.62/2.02 { ! alpha2( X ), ! rinvS( X, Y ), cp( Y ) }.
% 1.62/2.02 { ! cp( skol5( Y ) ), alpha2( X ) }.
% 1.62/2.02 { rinvS( X, skol5( X ) ), alpha2( X ) }.
% 1.62/2.02 { ! ca_Vx3( X ), cp( skol6( Y ) ) }.
% 1.62/2.02 { ! ca_Vx3( X ), rs( X, skol6( X ) ) }.
% 1.62/2.02 { ! rs( X, Y ), ! cp( Y ), ca_Vx3( X ) }.
% 1.62/2.02 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.62/2.02 { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 1.62/2.02 { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.62/2.02 { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.62/2.02 { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 1.62/2.02 { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 1.62/2.02 { ! rinvS( X, Y ), rs( Y, X ) }.
% 1.62/2.02 { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.62/2.02 { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 1.62/2.02 { cUnsatisfiable( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 { ! rs( X, Y ), rf( X, Y ) }.
% 1.62/2.02 { ! rs( X, Y ), rf1( X, Y ) }.
% 1.62/2.02
% 1.62/2.02 percentage equality = 0.172185, percentage horn = 0.934426
% 1.62/2.02 This is a problem with some equality
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Options Used:
% 1.62/2.02
% 1.62/2.02 useres = 1
% 1.62/2.02 useparamod = 1
% 1.62/2.02 useeqrefl = 1
% 1.62/2.02 useeqfact = 1
% 1.62/2.02 usefactor = 1
% 1.62/2.02 usesimpsplitting = 0
% 1.62/2.02 usesimpdemod = 5
% 1.62/2.02 usesimpres = 3
% 1.62/2.02
% 1.62/2.02 resimpinuse = 1000
% 1.62/2.02 resimpclauses = 20000
% 1.62/2.02 substype = eqrewr
% 1.62/2.02 backwardsubs = 1
% 1.62/2.02 selectoldest = 5
% 1.62/2.02
% 1.62/2.02 litorderings [0] = split
% 1.62/2.02 litorderings [1] = extend the termordering, first sorting on arguments
% 1.62/2.02
% 1.62/2.02 termordering = kbo
% 1.62/2.02
% 1.62/2.02 litapriori = 0
% 1.62/2.02 termapriori = 1
% 1.62/2.02 litaposteriori = 0
% 1.62/2.02 termaposteriori = 0
% 1.62/2.02 demodaposteriori = 0
% 1.62/2.02 ordereqreflfact = 0
% 1.62/2.02
% 1.62/2.02 litselect = negord
% 1.62/2.02
% 1.62/2.02 maxweight = 15
% 1.62/2.02 maxdepth = 30000
% 1.62/2.02 maxlength = 115
% 1.62/2.02 maxnrvars = 195
% 1.62/2.02 excuselevel = 1
% 1.62/2.02 increasemaxweight = 1
% 1.62/2.02
% 1.62/2.02 maxselected = 10000000
% 1.62/2.02 maxnrclauses = 10000000
% 1.62/2.02
% 1.62/2.02 showgenerated = 0
% 1.62/2.02 showkept = 0
% 1.62/2.02 showselected = 0
% 1.62/2.02 showdeleted = 0
% 1.62/2.02 showresimp = 1
% 1.62/2.02 showstatus = 2000
% 1.62/2.02
% 1.62/2.02 prologoutput = 0
% 1.62/2.02 nrgoals = 5000000
% 1.62/2.02 totalproof = 1
% 1.62/2.02
% 1.62/2.02 Symbols occurring in the translation:
% 1.62/2.02
% 1.62/2.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.62/2.02 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 1.62/2.02 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.62/2.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.62/2.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.62/2.02 cUnsatisfiable [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.62/2.02 ca_Ax2 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.62/2.02 ca_Vx3 [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.62/2.02 cowlNothing [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.62/2.02 cowlThing [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.62/2.02 cp [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.62/2.02 cpxcomp [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.62/2.02 ra_Px1 [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.62/2.02 rf [46, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.62/2.02 rf1 [47, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.62/2.02 rinvF [48, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.62/2.02 rinvF1 [49, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.62/2.02 rinvS [50, 2] (w:1, o:66, a:1, s:1, b:0),
% 1.62/2.02 rs [51, 2] (w:1, o:67, a:1, s:1, b:0),
% 1.62/2.02 xsd_integer [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.62/2.02 xsd_string [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.62/2.02 i2003_11_14_17_21_08508 [58, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.62/2.02 alpha1 [59, 1] (w:1, o:28, a:1, s:1, b:1),
% 1.62/2.02 alpha2 [60, 1] (w:1, o:29, a:1, s:1, b:1),
% 1.62/2.02 alpha3 [61, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.62/2.02 skol1 [62, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.62/2.02 skol2 [63, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.62/2.02 skol3 [64, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.62/2.02 skol4 [65, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.62/2.02 skol5 [66, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.62/2.02 skol6 [67, 1] (w:1, o:36, a:1, s:1, b:1).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Starting Search:
% 1.62/2.02
% 1.62/2.02 *** allocated 15000 integers for clauses
% 1.62/2.02 *** allocated 22500 integers for clauses
% 1.62/2.02 *** allocated 33750 integers for clauses
% 1.62/2.02 *** allocated 15000 integers for termspace/termends
% 1.62/2.02 *** allocated 50625 integers for clauses
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 22500 integers for termspace/termends
% 1.62/2.02 *** allocated 75937 integers for clauses
% 1.62/2.02 *** allocated 33750 integers for termspace/termends
% 1.62/2.02
% 1.62/2.02 Intermediate Status:
% 1.62/2.02 Generated: 6347
% 1.62/2.02 Kept: 2004
% 1.62/2.02 Inuse: 247
% 1.62/2.02 Deleted: 17
% 1.62/2.02 Deletedinuse: 8
% 1.62/2.02
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 113905 integers for clauses
% 1.62/2.02 *** allocated 50625 integers for termspace/termends
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 170857 integers for clauses
% 1.62/2.02 *** allocated 75937 integers for termspace/termends
% 1.62/2.02
% 1.62/2.02 Intermediate Status:
% 1.62/2.02 Generated: 13829
% 1.62/2.02 Kept: 4021
% 1.62/2.02 Inuse: 391
% 1.62/2.02 Deleted: 22
% 1.62/2.02 Deletedinuse: 8
% 1.62/2.02
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 256285 integers for clauses
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 113905 integers for termspace/termends
% 1.62/2.02
% 1.62/2.02 Intermediate Status:
% 1.62/2.02 Generated: 22773
% 1.62/2.02 Kept: 6021
% 1.62/2.02 Inuse: 533
% 1.62/2.02 Deleted: 28
% 1.62/2.02 Deletedinuse: 10
% 1.62/2.02
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 384427 integers for clauses
% 1.62/2.02
% 1.62/2.02 Intermediate Status:
% 1.62/2.02 Generated: 32482
% 1.62/2.02 Kept: 8028
% 1.62/2.02 Inuse: 641
% 1.62/2.02 Deleted: 35
% 1.62/2.02 Deletedinuse: 10
% 1.62/2.02
% 1.62/2.02 *** allocated 170857 integers for termspace/termends
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Intermediate Status:
% 1.62/2.02 Generated: 43901
% 1.62/2.02 Kept: 10028
% 1.62/2.02 Inuse: 731
% 1.62/2.02 Deleted: 38
% 1.62/2.02 Deletedinuse: 10
% 1.62/2.02
% 1.62/2.02 Resimplifying inuse:
% 1.62/2.02 Done
% 1.62/2.02
% 1.62/2.02 *** allocated 576640 integers for clauses
% 1.62/2.02
% 1.62/2.02 Bliksems!, er is een bewijs:
% 1.62/2.02 % SZS status Unsatisfiable
% 1.62/2.02 % SZS output start Refutation
% 1.62/2.02
% 1.62/2.02 (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 1.62/2.02 (27) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cpxcomp( X ) }.
% 1.62/2.02 (28) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.62/2.02 (30) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Ax2( skol1( Y ) ) }.
% 1.62/2.02 (31) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X ) ) }.
% 1.62/2.02 (33) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 1.62/2.02 (35) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 1.62/2.02 (37) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha2( X ) }.
% 1.62/2.02 (38) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha3( X ) }.
% 1.62/2.02 (40) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvF( X, Y ), ca_Vx3( Y )
% 1.62/2.02 }.
% 1.62/2.02 (43) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvS( X, Y ), cp( Y ) }.
% 1.62/2.02 (47) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rs( X, skol6( X ) ) }.
% 1.62/2.02 (49) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.62/2.02 (52) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.62/2.02 (56) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.62/2.02 (58) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (59) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 1.62/2.02 (64) {G1,W2,D2,L1,V0,M1} R(28,58) { alpha1( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (66) {G1,W2,D2,L1,V0,M1} R(27,58) { cpxcomp( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (78) {G2,W3,D3,L1,V1,M1} R(30,64) { ca_Ax2( skol1( X ) ) }.
% 1.62/2.02 (81) {G3,W6,D3,L2,V2,M2} R(78,1) { ! skol1( X ) = Y, ca_Ax2( Y ) }.
% 1.62/2.02 (83) {G3,W3,D3,L1,V1,M1} R(78,38) { alpha3( skol1( X ) ) }.
% 1.62/2.02 (114) {G4,W6,D3,L2,V2,M2} R(81,37) { ! skol1( X ) = Y, alpha2( Y ) }.
% 1.62/2.02 (125) {G1,W6,D3,L2,V1,M2} R(47,56) { ! ca_Vx3( X ), rinvS( skol6( X ), X )
% 1.62/2.02 }.
% 1.62/2.02 (126) {G1,W6,D3,L2,V1,M2} R(47,59) { ! ca_Vx3( X ), rf( X, skol6( X ) ) }.
% 1.62/2.02 (181) {G1,W4,D2,L2,V1,M2} R(35,33) { ! cpxcomp( X ), ! cp( X ) }.
% 1.62/2.02 (195) {G2,W2,D2,L1,V0,M1} R(181,66) { ! cp( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (267) {G2,W4,D3,L1,V0,M1} R(31,64) { rf( i2003_11_14_17_21_08508, skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 (268) {G1,W6,D3,L2,V1,M2} R(31,28) { rf( X, skol1( X ) ), ! cUnsatisfiable
% 1.62/2.02 ( X ) }.
% 1.62/2.02 (271) {G3,W4,D3,L1,V0,M1} R(267,52) { rinvF( skol1( i2003_11_14_17_21_08508
% 1.62/2.02 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (418) {G4,W2,D2,L1,V0,M1} R(40,271);r(83) { ca_Vx3( i2003_11_14_17_21_08508
% 1.62/2.02 ) }.
% 1.62/2.02 (447) {G5,W4,D3,L1,V0,M1} R(418,126) { rf( i2003_11_14_17_21_08508, skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 (448) {G5,W4,D3,L1,V0,M1} R(418,125) { rinvS( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (614) {G6,W7,D3,L2,V1,M2} R(447,49) { ! rf( i2003_11_14_17_21_08508, X ),
% 1.62/2.02 skol6( i2003_11_14_17_21_08508 ) = X }.
% 1.62/2.02 (619) {G6,W3,D3,L1,V0,M1} R(448,43);r(195) { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 (632) {G7,W5,D3,L1,V1,M1} R(619,114) { ! skol1( X ) = skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (10728) {G7,W5,D3,L1,V0,M1} R(614,268);r(58) { skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ==> skol1( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (10776) {G8,W5,D3,L1,V1,M1} P(614,632);d(10728);d(10728);r(267) { ! skol1(
% 1.62/2.02 X ) = skol1( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 (10780) {G9,W0,D0,L0,V0,M0} Q(10776) { }.
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 % SZS output end Refutation
% 1.62/2.02 found a proof!
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Unprocessed initial clauses:
% 1.62/2.02
% 1.62/2.02 (10782) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 1.62/2.02 cUnsatisfiable( X ) }.
% 1.62/2.02 (10783) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X ) }.
% 1.62/2.02 (10784) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 1.62/2.02 (10785) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X
% 1.62/2.02 ) }.
% 1.62/2.02 (10786) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X )
% 1.62/2.02 }.
% 1.62/2.02 (10787) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 1.62/2.02 (10788) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cpxcomp( Y ), cpxcomp( X ) }.
% 1.62/2.02 (10789) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y )
% 1.62/2.02 }.
% 1.62/2.02 (10790) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X )
% 1.62/2.02 }.
% 1.62/2.02 (10791) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.62/2.02 (10792) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.62/2.02 (10793) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 1.62/2.02 (10794) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 1.62/2.02 (10795) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.62/2.02 (10796) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.62/2.02 (10797) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y )
% 1.62/2.02 }.
% 1.62/2.02 (10798) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X )
% 1.62/2.02 }.
% 1.62/2.02 (10799) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 1.62/2.02 (10800) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 1.62/2.02 (10801) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 1.62/2.02 (10802) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 1.62/2.02 (10803) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X
% 1.62/2.02 ) }.
% 1.62/2.02 (10804) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 1.62/2.02 }.
% 1.62/2.02 (10805) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 1.62/2.02 (10806) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 1.62/2.02 (10807) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.62/2.02 (10808) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 1.62/2.02 (10809) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), cpxcomp( X ) }.
% 1.62/2.02 (10810) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.62/2.02 (10811) {G0,W6,D2,L3,V1,M3} { ! cpxcomp( X ), ! alpha1( X ),
% 1.62/2.02 cUnsatisfiable( X ) }.
% 1.62/2.02 (10812) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Ax2( skol1( Y ) ) }.
% 1.62/2.02 (10813) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rf( X, skol1( X ) ) }.
% 1.62/2.02 (10814) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! ca_Ax2( Y ), alpha1( X ) }.
% 1.62/2.02 (10815) {G0,W5,D2,L2,V2,M2} { ! cp( X ), ! ra_Px1( X, Y ) }.
% 1.62/2.02 (10816) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol2( X ) ), cp( X ) }.
% 1.62/2.02 (10817) {G0,W6,D3,L2,V1,M2} { ! cpxcomp( X ), ra_Px1( X, skol3( X ) ) }.
% 1.62/2.02 (10818) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), cpxcomp( X ) }.
% 1.62/2.02 (10819) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha2( X ) }.
% 1.62/2.02 (10820) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha3( X ) }.
% 1.62/2.02 (10821) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! alpha3( X ), ca_Ax2( X )
% 1.62/2.02 }.
% 1.62/2.02 (10822) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rinvF( X, Y ), ca_Vx3( Y )
% 1.62/2.02 }.
% 1.62/2.02 (10823) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( skol4( Y ) ), alpha3( X ) }.
% 1.62/2.02 (10824) {G0,W6,D3,L2,V1,M2} { rinvF( X, skol4( X ) ), alpha3( X ) }.
% 1.62/2.02 (10825) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rinvS( X, Y ), cp( Y ) }.
% 1.62/2.02 (10826) {G0,W5,D3,L2,V2,M2} { ! cp( skol5( Y ) ), alpha2( X ) }.
% 1.62/2.02 (10827) {G0,W6,D3,L2,V1,M2} { rinvS( X, skol5( X ) ), alpha2( X ) }.
% 1.62/2.02 (10828) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cp( skol6( Y ) ) }.
% 1.62/2.02 (10829) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rs( X, skol6( X ) ) }.
% 1.62/2.02 (10830) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! cp( Y ), ca_Vx3( X ) }.
% 1.62/2.02 (10831) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.62/2.02 (10832) {G0,W9,D2,L3,V3,M3} { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 1.62/2.02 (10833) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.62/2.02 (10834) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.62/2.02 (10835) {G0,W6,D2,L2,V2,M2} { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 1.62/2.02 (10836) {G0,W6,D2,L2,V2,M2} { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 1.62/2.02 (10837) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 1.62/2.02 (10838) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.62/2.02 (10839) {G0,W9,D2,L3,V3,M3} { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 1.62/2.02 (10840) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_08508 )
% 1.62/2.02 }.
% 1.62/2.02 (10841) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 1.62/2.02 (10842) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf1( X, Y ) }.
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 Total Proof:
% 1.62/2.02
% 1.62/2.02 subsumption: (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (10783) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 2 ==> 2
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (27) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cpxcomp( X
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (10809) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), cpxcomp( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (28) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (10810) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (30) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Ax2( skol1( Y )
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (10812) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), ca_Ax2( skol1( Y ) )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (31) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X )
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (10813) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rf( X, skol1( X ) )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (33) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 1.62/2.02 parent0: (10815) {G0,W5,D2,L2,V2,M2} { ! cp( X ), ! ra_Px1( X, Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (35) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol3
% 1.62/2.02 ( X ) ) }.
% 1.62/2.02 parent0: (10817) {G0,W6,D3,L2,V1,M2} { ! cpxcomp( X ), ra_Px1( X, skol3( X
% 1.62/2.02 ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (37) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha2( X ) }.
% 1.62/2.02 parent0: (10819) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha2( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (38) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha3( X ) }.
% 1.62/2.02 parent0: (10820) {G0,W4,D2,L2,V1,M2} { ! ca_Ax2( X ), alpha3( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (40) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvF( X, Y ),
% 1.62/2.02 ca_Vx3( Y ) }.
% 1.62/2.02 parent0: (10822) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rinvF( X, Y ),
% 1.62/2.02 ca_Vx3( Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 2 ==> 2
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (43) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvS( X, Y ),
% 1.62/2.02 cp( Y ) }.
% 1.62/2.02 parent0: (10825) {G0,W7,D2,L3,V2,M3} { ! alpha2( X ), ! rinvS( X, Y ), cp
% 1.62/2.02 ( Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 2 ==> 2
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (47) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rs( X, skol6( X )
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (10829) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rs( X, skol6( X ) )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (49) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.62/2.02 }.
% 1.62/2.02 parent0: (10831) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 Z := Z
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 2 ==> 2
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (52) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.62/2.02 parent0: (10834) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (56) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.62/2.02 parent0: (10838) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (58) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (10840) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (59) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 1.62/2.02 parent0: (10841) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11224) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_08508
% 1.62/2.02 ) }.
% 1.62/2.02 parent0[0]: (28) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 1.62/2.02 }.
% 1.62/2.02 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (64) {G1,W2,D2,L1,V0,M1} R(28,58) { alpha1(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11224) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_08508 )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11225) {G1,W2,D2,L1,V0,M1} { cpxcomp( i2003_11_14_17_21_08508
% 1.62/2.02 ) }.
% 1.62/2.02 parent0[0]: (27) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), cpxcomp( X
% 1.62/2.02 ) }.
% 1.62/2.02 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (66) {G1,W2,D2,L1,V0,M1} R(27,58) { cpxcomp(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11225) {G1,W2,D2,L1,V0,M1} { cpxcomp( i2003_11_14_17_21_08508 )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11226) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol1( X ) ) }.
% 1.62/2.02 parent0[0]: (30) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), ca_Ax2( skol1( Y )
% 1.62/2.02 ) }.
% 1.62/2.02 parent1[0]: (64) {G1,W2,D2,L1,V0,M1} R(28,58) { alpha1(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (78) {G2,W3,D3,L1,V1,M1} R(30,64) { ca_Ax2( skol1( X ) ) }.
% 1.62/2.02 parent0: (11226) {G1,W3,D3,L1,V1,M1} { ca_Ax2( skol1( X ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11227) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( X ), ca_Ax2( Y )
% 1.62/2.02 }.
% 1.62/2.02 parent0[0]: (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ca_Ax2( Y ), ca_Ax2( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := Y
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11228) {G1,W6,D3,L2,V2,M2} { ! X = skol1( Y ), ca_Ax2( X )
% 1.62/2.02 }.
% 1.62/2.02 parent0[1]: (11227) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Ax2( X ), ca_Ax2(
% 1.62/2.02 Y ) }.
% 1.62/2.02 parent1[0]: (78) {G2,W3,D3,L1,V1,M1} R(30,64) { ca_Ax2( skol1( X ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol1( Y )
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := Y
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11229) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, ca_Ax2( X ) }.
% 1.62/2.02 parent0[0]: (11228) {G1,W6,D3,L2,V2,M2} { ! X = skol1( Y ), ca_Ax2( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (81) {G3,W6,D3,L2,V2,M2} R(78,1) { ! skol1( X ) = Y, ca_Ax2( Y
% 1.62/2.02 ) }.
% 1.62/2.02 parent0: (11229) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, ca_Ax2( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := Y
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11230) {G1,W3,D3,L1,V1,M1} { alpha3( skol1( X ) ) }.
% 1.62/2.02 parent0[0]: (38) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha3( X ) }.
% 1.62/2.02 parent1[0]: (78) {G2,W3,D3,L1,V1,M1} R(30,64) { ca_Ax2( skol1( X ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol1( X )
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (83) {G3,W3,D3,L1,V1,M1} R(78,38) { alpha3( skol1( X ) ) }.
% 1.62/2.02 parent0: (11230) {G1,W3,D3,L1,V1,M1} { alpha3( skol1( X ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11231) {G3,W6,D3,L2,V2,M2} { ! Y = skol1( X ), ca_Ax2( Y ) }.
% 1.62/2.02 parent0[0]: (81) {G3,W6,D3,L2,V2,M2} R(78,1) { ! skol1( X ) = Y, ca_Ax2( Y
% 1.62/2.02 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11232) {G1,W6,D3,L2,V2,M2} { alpha2( X ), ! X = skol1( Y )
% 1.62/2.02 }.
% 1.62/2.02 parent0[0]: (37) {G0,W4,D2,L2,V1,M2} I { ! ca_Ax2( X ), alpha2( X ) }.
% 1.62/2.02 parent1[1]: (11231) {G3,W6,D3,L2,V2,M2} { ! Y = skol1( X ), ca_Ax2( Y )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := Y
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11233) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, alpha2( X ) }.
% 1.62/2.02 parent0[1]: (11232) {G1,W6,D3,L2,V2,M2} { alpha2( X ), ! X = skol1( Y )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (114) {G4,W6,D3,L2,V2,M2} R(81,37) { ! skol1( X ) = Y, alpha2
% 1.62/2.02 ( Y ) }.
% 1.62/2.02 parent0: (11233) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, alpha2( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := Y
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11234) {G1,W6,D3,L2,V1,M2} { rinvS( skol6( X ), X ), ! ca_Vx3
% 1.62/2.02 ( X ) }.
% 1.62/2.02 parent0[0]: (56) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.62/2.02 parent1[1]: (47) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rs( X, skol6( X ) )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol6( X )
% 1.62/2.02 Y := X
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (125) {G1,W6,D3,L2,V1,M2} R(47,56) { ! ca_Vx3( X ), rinvS(
% 1.62/2.02 skol6( X ), X ) }.
% 1.62/2.02 parent0: (11234) {G1,W6,D3,L2,V1,M2} { rinvS( skol6( X ), X ), ! ca_Vx3( X
% 1.62/2.02 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 1
% 1.62/2.02 1 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11235) {G1,W6,D3,L2,V1,M2} { rf( X, skol6( X ) ), ! ca_Vx3( X
% 1.62/2.02 ) }.
% 1.62/2.02 parent0[0]: (59) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 1.62/2.02 parent1[1]: (47) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rs( X, skol6( X ) )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := skol6( X )
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (126) {G1,W6,D3,L2,V1,M2} R(47,59) { ! ca_Vx3( X ), rf( X,
% 1.62/2.02 skol6( X ) ) }.
% 1.62/2.02 parent0: (11235) {G1,W6,D3,L2,V1,M2} { rf( X, skol6( X ) ), ! ca_Vx3( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 1
% 1.62/2.02 1 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11236) {G1,W4,D2,L2,V1,M2} { ! cp( X ), ! cpxcomp( X ) }.
% 1.62/2.02 parent0[1]: (33) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 1.62/2.02 parent1[1]: (35) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol3(
% 1.62/2.02 X ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := skol3( X )
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (181) {G1,W4,D2,L2,V1,M2} R(35,33) { ! cpxcomp( X ), ! cp( X )
% 1.62/2.02 }.
% 1.62/2.02 parent0: (11236) {G1,W4,D2,L2,V1,M2} { ! cp( X ), ! cpxcomp( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 1
% 1.62/2.02 1 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11237) {G2,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_21_08508 )
% 1.62/2.02 }.
% 1.62/2.02 parent0[0]: (181) {G1,W4,D2,L2,V1,M2} R(35,33) { ! cpxcomp( X ), ! cp( X )
% 1.62/2.02 }.
% 1.62/2.02 parent1[0]: (66) {G1,W2,D2,L1,V0,M1} R(27,58) { cpxcomp(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (195) {G2,W2,D2,L1,V0,M1} R(181,66) { ! cp(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11237) {G2,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11238) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_21_08508,
% 1.62/2.02 skol1( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent0[0]: (31) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X ) )
% 1.62/2.02 }.
% 1.62/2.02 parent1[0]: (64) {G1,W2,D2,L1,V0,M1} R(28,58) { alpha1(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (267) {G2,W4,D3,L1,V0,M1} R(31,64) { rf(
% 1.62/2.02 i2003_11_14_17_21_08508, skol1( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent0: (11238) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_21_08508, skol1
% 1.62/2.02 ( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11239) {G1,W6,D3,L2,V1,M2} { rf( X, skol1( X ) ), !
% 1.62/2.02 cUnsatisfiable( X ) }.
% 1.62/2.02 parent0[0]: (31) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X ) )
% 1.62/2.02 }.
% 1.62/2.02 parent1[1]: (28) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (268) {G1,W6,D3,L2,V1,M2} R(31,28) { rf( X, skol1( X ) ), !
% 1.62/2.02 cUnsatisfiable( X ) }.
% 1.62/2.02 parent0: (11239) {G1,W6,D3,L2,V1,M2} { rf( X, skol1( X ) ), !
% 1.62/2.02 cUnsatisfiable( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11240) {G1,W4,D3,L1,V0,M1} { rinvF( skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[0]: (52) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.62/2.02 parent1[0]: (267) {G2,W4,D3,L1,V0,M1} R(31,64) { rf(
% 1.62/2.02 i2003_11_14_17_21_08508, skol1( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol1( i2003_11_14_17_21_08508 )
% 1.62/2.02 Y := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (271) {G3,W4,D3,L1,V0,M1} R(267,52) { rinvF( skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11240) {G1,W4,D3,L1,V0,M1} { rinvF( skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11241) {G1,W5,D3,L2,V0,M2} { ! alpha3( skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ), ca_Vx3( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[1]: (40) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvF( X, Y ),
% 1.62/2.02 ca_Vx3( Y ) }.
% 1.62/2.02 parent1[0]: (271) {G3,W4,D3,L1,V0,M1} R(267,52) { rinvF( skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol1( i2003_11_14_17_21_08508 )
% 1.62/2.02 Y := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11242) {G2,W2,D2,L1,V0,M1} { ca_Vx3( i2003_11_14_17_21_08508
% 1.62/2.02 ) }.
% 1.62/2.02 parent0[0]: (11241) {G1,W5,D3,L2,V0,M2} { ! alpha3( skol1(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ), ca_Vx3( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent1[0]: (83) {G3,W3,D3,L1,V1,M1} R(78,38) { alpha3( skol1( X ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (418) {G4,W2,D2,L1,V0,M1} R(40,271);r(83) { ca_Vx3(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11242) {G2,W2,D2,L1,V0,M1} { ca_Vx3( i2003_11_14_17_21_08508 )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11243) {G2,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_21_08508,
% 1.62/2.02 skol6( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent0[0]: (126) {G1,W6,D3,L2,V1,M2} R(47,59) { ! ca_Vx3( X ), rf( X,
% 1.62/2.02 skol6( X ) ) }.
% 1.62/2.02 parent1[0]: (418) {G4,W2,D2,L1,V0,M1} R(40,271);r(83) { ca_Vx3(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (447) {G5,W4,D3,L1,V0,M1} R(418,126) { rf(
% 1.62/2.02 i2003_11_14_17_21_08508, skol6( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent0: (11243) {G2,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_21_08508, skol6
% 1.62/2.02 ( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11244) {G2,W4,D3,L1,V0,M1} { rinvS( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[0]: (125) {G1,W6,D3,L2,V1,M2} R(47,56) { ! ca_Vx3( X ), rinvS(
% 1.62/2.02 skol6( X ), X ) }.
% 1.62/2.02 parent1[0]: (418) {G4,W2,D2,L1,V0,M1} R(40,271);r(83) { ca_Vx3(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (448) {G5,W4,D3,L1,V0,M1} R(418,125) { rinvS( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11244) {G2,W4,D3,L1,V0,M1} { rinvS( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11245) {G1,W7,D3,L2,V1,M2} { ! rf( i2003_11_14_17_21_08508, X
% 1.62/2.02 ), skol6( i2003_11_14_17_21_08508 ) = X }.
% 1.62/2.02 parent0[0]: (49) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.62/2.02 }.
% 1.62/2.02 parent1[0]: (447) {G5,W4,D3,L1,V0,M1} R(418,126) { rf(
% 1.62/2.02 i2003_11_14_17_21_08508, skol6( i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol6( i2003_11_14_17_21_08508 )
% 1.62/2.02 Y := X
% 1.62/2.02 Z := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (614) {G6,W7,D3,L2,V1,M2} R(447,49) { ! rf(
% 1.62/2.02 i2003_11_14_17_21_08508, X ), skol6( i2003_11_14_17_21_08508 ) = X }.
% 1.62/2.02 parent0: (11245) {G1,W7,D3,L2,V1,M2} { ! rf( i2003_11_14_17_21_08508, X )
% 1.62/2.02 , skol6( i2003_11_14_17_21_08508 ) = X }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 1 ==> 1
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11247) {G1,W5,D3,L2,V0,M2} { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ), cp( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[1]: (43) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvS( X, Y ), cp
% 1.62/2.02 ( Y ) }.
% 1.62/2.02 parent1[0]: (448) {G5,W4,D3,L1,V0,M1} R(418,125) { rinvS( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ), i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol6( i2003_11_14_17_21_08508 )
% 1.62/2.02 Y := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11248) {G2,W3,D3,L1,V0,M1} { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent0[0]: (195) {G2,W2,D2,L1,V0,M1} R(181,66) { ! cp(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent1[1]: (11247) {G1,W5,D3,L2,V0,M2} { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ), cp( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (619) {G6,W3,D3,L1,V0,M1} R(448,43);r(195) { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent0: (11248) {G2,W3,D3,L1,V0,M1} { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11249) {G4,W6,D3,L2,V2,M2} { ! Y = skol1( X ), alpha2( Y ) }.
% 1.62/2.02 parent0[0]: (114) {G4,W6,D3,L2,V2,M2} R(81,37) { ! skol1( X ) = Y, alpha2(
% 1.62/2.02 Y ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 Y := Y
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11250) {G5,W5,D3,L1,V1,M1} { ! skol6( i2003_11_14_17_21_08508
% 1.62/2.02 ) = skol1( X ) }.
% 1.62/2.02 parent0[0]: (619) {G6,W3,D3,L1,V0,M1} R(448,43);r(195) { ! alpha2( skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) ) }.
% 1.62/2.02 parent1[1]: (11249) {G4,W6,D3,L2,V2,M2} { ! Y = skol1( X ), alpha2( Y )
% 1.62/2.02 }.
% 1.62/2.02 substitution0:
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := X
% 1.62/2.02 Y := skol6( i2003_11_14_17_21_08508 )
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11251) {G5,W5,D3,L1,V1,M1} { ! skol1( X ) = skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[0]: (11250) {G5,W5,D3,L1,V1,M1} { ! skol6( i2003_11_14_17_21_08508
% 1.62/2.02 ) = skol1( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 subsumption: (632) {G7,W5,D3,L1,V1,M1} R(619,114) { ! skol1( X ) = skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0: (11251) {G5,W5,D3,L1,V1,M1} { ! skol1( X ) = skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02 permutation0:
% 1.62/2.02 0 ==> 0
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 eqswap: (11252) {G6,W7,D3,L2,V1,M2} { X = skol6( i2003_11_14_17_21_08508 )
% 1.62/2.02 , ! rf( i2003_11_14_17_21_08508, X ) }.
% 1.62/2.02 parent0[1]: (614) {G6,W7,D3,L2,V1,M2} R(447,49) { ! rf(
% 1.62/2.02 i2003_11_14_17_21_08508, X ), skol6( i2003_11_14_17_21_08508 ) = X }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := X
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11253) {G2,W7,D3,L2,V0,M2} { skol1( i2003_11_14_17_21_08508 )
% 1.62/2.02 = skol6( i2003_11_14_17_21_08508 ), ! cUnsatisfiable(
% 1.62/2.02 i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[1]: (11252) {G6,W7,D3,L2,V1,M2} { X = skol6(
% 1.62/2.02 i2003_11_14_17_21_08508 ), ! rf( i2003_11_14_17_21_08508, X ) }.
% 1.62/2.02 parent1[0]: (268) {G1,W6,D3,L2,V1,M2} R(31,28) { rf( X, skol1( X ) ), !
% 1.62/2.02 cUnsatisfiable( X ) }.
% 1.62/2.02 substitution0:
% 1.62/2.02 X := skol1( i2003_11_14_17_21_08508 )
% 1.62/2.02 end
% 1.62/2.02 substitution1:
% 1.62/2.02 X := i2003_11_14_17_21_08508
% 1.62/2.02 end
% 1.62/2.02
% 1.62/2.02 resolution: (11254) {G1,W5,D3,L1,V0,M1} { skol1( i2003_11_14_17_21_08508 )
% 1.62/2.02 = skol6( i2003_11_14_17_21_08508 ) }.
% 1.62/2.02 parent0[1]: (11253) {G2,W7,D3,L2,V0,M2} { skol1( i2003_11_14_17_21_08508 )
% 1.62/2.02 = skol6( i2003_11_14_17_21_08508 ), ! cUnsatisfiable(
% 6.24/6.66 i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent1[0]: (58) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 6.24/6.66 i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 end
% 6.24/6.66 substitution1:
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 eqswap: (11255) {G1,W5,D3,L1,V0,M1} { skol6( i2003_11_14_17_21_08508 ) =
% 6.24/6.66 skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent0[0]: (11254) {G1,W5,D3,L1,V0,M1} { skol1( i2003_11_14_17_21_08508 )
% 6.24/6.66 = skol6( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 subsumption: (10728) {G7,W5,D3,L1,V0,M1} R(614,268);r(58) { skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) ==> skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent0: (11255) {G1,W5,D3,L1,V0,M1} { skol6( i2003_11_14_17_21_08508 ) =
% 6.24/6.66 skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 end
% 6.24/6.66 permutation0:
% 6.24/6.66 0 ==> 0
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 *** allocated 256285 integers for termspace/termends
% 6.24/6.66 *** allocated 15000 integers for justifications
% 6.24/6.66 eqswap: (11256) {G6,W7,D3,L2,V1,M2} { X = skol6( i2003_11_14_17_21_08508 )
% 6.24/6.66 , ! rf( i2003_11_14_17_21_08508, X ) }.
% 6.24/6.66 parent0[1]: (614) {G6,W7,D3,L2,V1,M2} R(447,49) { ! rf(
% 6.24/6.66 i2003_11_14_17_21_08508, X ), skol6( i2003_11_14_17_21_08508 ) = X }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 eqswap: (11257) {G7,W5,D3,L1,V1,M1} { ! skol6( i2003_11_14_17_21_08508 ) =
% 6.24/6.66 skol1( X ) }.
% 6.24/6.66 parent0[0]: (632) {G7,W5,D3,L1,V1,M1} R(619,114) { ! skol1( X ) = skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 paramod: (11260) {G7,W9,D3,L2,V1,M2} { ! skol6( i2003_11_14_17_21_08508 )
% 6.24/6.66 = skol1( X ), ! rf( i2003_11_14_17_21_08508, skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) ) }.
% 6.24/6.66 parent0[0]: (11256) {G6,W7,D3,L2,V1,M2} { X = skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ), ! rf( i2003_11_14_17_21_08508, X ) }.
% 6.24/6.66 parent1[0; 2]: (11257) {G7,W5,D3,L1,V1,M1} { ! skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := skol6( i2003_11_14_17_21_08508 )
% 6.24/6.66 end
% 6.24/6.66 substitution1:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 paramod: (1146307) {G8,W9,D3,L2,V1,M2} { ! rf( i2003_11_14_17_21_08508,
% 6.24/6.66 skol1( i2003_11_14_17_21_08508 ) ), ! skol6( i2003_11_14_17_21_08508 ) =
% 6.24/6.66 skol1( X ) }.
% 6.24/6.66 parent0[0]: (10728) {G7,W5,D3,L1,V0,M1} R(614,268);r(58) { skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) ==> skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent1[1; 3]: (11260) {G7,W9,D3,L2,V1,M2} { ! skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ), ! rf( i2003_11_14_17_21_08508,
% 6.24/6.66 skol6( i2003_11_14_17_21_08508 ) ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 end
% 6.24/6.66 substitution1:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 paramod: (1146309) {G8,W9,D3,L2,V1,M2} { ! skol1( i2003_11_14_17_21_08508
% 6.24/6.66 ) = skol1( X ), ! rf( i2003_11_14_17_21_08508, skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) ) }.
% 6.24/6.66 parent0[0]: (10728) {G7,W5,D3,L1,V0,M1} R(614,268);r(58) { skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) ==> skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent1[1; 2]: (1146307) {G8,W9,D3,L2,V1,M2} { ! rf(
% 6.24/6.66 i2003_11_14_17_21_08508, skol1( i2003_11_14_17_21_08508 ) ), ! skol6(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 end
% 6.24/6.66 substitution1:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 resolution: (1146310) {G3,W5,D3,L1,V1,M1} { ! skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ) }.
% 6.24/6.66 parent0[1]: (1146309) {G8,W9,D3,L2,V1,M2} { ! skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ), ! rf( i2003_11_14_17_21_08508,
% 6.24/6.66 skol1( i2003_11_14_17_21_08508 ) ) }.
% 6.24/6.66 parent1[0]: (267) {G2,W4,D3,L1,V0,M1} R(31,64) { rf(
% 6.24/6.66 i2003_11_14_17_21_08508, skol1( i2003_11_14_17_21_08508 ) ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66 substitution1:
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 eqswap: (1146311) {G3,W5,D3,L1,V1,M1} { ! skol1( X ) = skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent0[0]: (1146310) {G3,W5,D3,L1,V1,M1} { ! skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 subsumption: (10776) {G8,W5,D3,L1,V1,M1} P(614,632);d(10728);d(10728);r(267
% 6.24/6.66 ) { ! skol1( X ) = skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 parent0: (1146311) {G3,W5,D3,L1,V1,M1} { ! skol1( X ) = skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66 permutation0:
% 6.24/6.66 0 ==> 0
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 eqswap: (1146312) {G8,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_21_08508 )
% 6.24/6.66 = skol1( X ) }.
% 6.24/6.66 parent0[0]: (10776) {G8,W5,D3,L1,V1,M1} P(614,632);d(10728);d(10728);r(267)
% 6.24/6.66 { ! skol1( X ) = skol1( i2003_11_14_17_21_08508 ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := X
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 eqrefl: (1146313) {G0,W0,D0,L0,V0,M0} { }.
% 6.24/6.66 parent0[0]: (1146312) {G8,W5,D3,L1,V1,M1} { ! skol1(
% 6.24/6.66 i2003_11_14_17_21_08508 ) = skol1( X ) }.
% 6.24/6.66 substitution0:
% 6.24/6.66 X := i2003_11_14_17_21_08508
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 subsumption: (10780) {G9,W0,D0,L0,V0,M0} Q(10776) { }.
% 6.24/6.66 parent0: (1146313) {G0,W0,D0,L0,V0,M0} { }.
% 6.24/6.66 substitution0:
% 6.24/6.66 end
% 6.24/6.66 permutation0:
% 6.24/6.66 end
% 6.24/6.66
% 6.24/6.66 Proof check complete!
% 6.24/6.66
% 6.24/6.66 Memory use:
% 6.24/6.66
% 6.24/6.66 space for terms: 148673
% 6.24/6.66 space for clauses: 388990
% 6.24/6.66
% 6.24/6.66
% 6.24/6.66 clauses generated: 49406
% 6.24/6.66 clauses kept: 10781
% 6.24/6.66 clauses selected: 755
% 6.24/6.66 clauses deleted: 42
% 6.24/6.66 clauses inuse deleted: 10
% 6.24/6.66
% 6.24/6.66 subsentry: 12031673
% 6.24/6.66 literals s-matched: 3009024
% 6.24/6.66 literals matched: 2992902
% 6.24/6.66 full subsumption: 75823
% 6.24/6.66
% 6.24/6.66 checksum: -1651044817
% 6.24/6.66
% 6.24/6.66
% 6.24/6.66 Bliksem ended
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