TSTP Solution File: KRS073+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:42:08 EDT 2022
% Result : Unsatisfiable 1.56s 1.95s
% Output : Refutation 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 7 12:00:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.56/1.95 *** allocated 10000 integers for termspace/termends
% 1.56/1.95 *** allocated 10000 integers for clauses
% 1.56/1.95 *** allocated 10000 integers for justifications
% 1.56/1.95 Bliksem 1.12
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Automatic Strategy Selection
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Clauses:
% 1.56/1.95
% 1.56/1.95 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 1.56/1.95 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 1.56/1.95 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 1.56/1.95 { ! Y = X, ! cp( Y ), cp( X ) }.
% 1.56/1.95 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.56/1.95 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.56/1.95 { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 1.56/1.95 { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 1.56/1.95 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.56/1.95 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.56/1.95 { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 1.56/1.95 { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 1.56/1.95 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 1.56/1.95 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 1.56/1.95 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 1.56/1.95 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 1.56/1.95 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 1.56/1.95 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 1.56/1.95 { cowlThing( X ) }.
% 1.56/1.95 { ! cowlNothing( X ) }.
% 1.56/1.95 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.56/1.95 { xsd_integer( X ), xsd_string( X ) }.
% 1.56/1.95 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.56/1.95 { ! cUnsatisfiable( X ), ! cp( X ) }.
% 1.56/1.95 { ! alpha1( X ), cp( X ), cUnsatisfiable( X ) }.
% 1.56/1.95 { ! alpha1( X ), alpha2( skol1( Y ) ) }.
% 1.56/1.95 { ! alpha1( X ), rf( X, skol1( X ) ) }.
% 1.56/1.95 { ! rf( X, Y ), ! alpha2( Y ), alpha1( X ) }.
% 1.56/1.95 { ! alpha2( X ), alpha3( X ) }.
% 1.56/1.95 { ! alpha2( X ), alpha4( X ) }.
% 1.56/1.95 { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 1.56/1.95 { ! alpha4( X ), ! rinvF( X, Y ), alpha5( Y ) }.
% 1.56/1.95 { ! alpha5( skol2( Y ) ), alpha4( X ) }.
% 1.56/1.95 { rinvF( X, skol2( X ) ), alpha4( X ) }.
% 1.56/1.95 { ! alpha5( X ), cp( skol3( Y ) ) }.
% 1.56/1.95 { ! alpha5( X ), rs( X, skol3( X ) ) }.
% 1.56/1.95 { ! rs( X, Y ), ! cp( Y ), alpha5( X ) }.
% 1.56/1.95 { ! alpha3( X ), ! rinvS( X, Y ), cp( Y ) }.
% 1.56/1.95 { ! cp( skol4( Y ) ), alpha3( X ) }.
% 1.56/1.95 { rinvS( X, skol4( X ) ), alpha3( X ) }.
% 1.56/1.95 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.56/1.95 { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 1.56/1.95 { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.56/1.95 { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.56/1.95 { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 1.56/1.95 { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 1.56/1.95 { ! rinvS( X, Y ), rs( Y, X ) }.
% 1.56/1.95 { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.56/1.95 { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 1.56/1.95 { cUnsatisfiable( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 { ! rs( X, Y ), rf1( X, Y ) }.
% 1.56/1.95 { ! rs( X, Y ), rf( X, Y ) }.
% 1.56/1.95
% 1.56/1.95 percentage equality = 0.164062, percentage horn = 0.923077
% 1.56/1.95 This is a problem with some equality
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Options Used:
% 1.56/1.95
% 1.56/1.95 useres = 1
% 1.56/1.95 useparamod = 1
% 1.56/1.95 useeqrefl = 1
% 1.56/1.95 useeqfact = 1
% 1.56/1.95 usefactor = 1
% 1.56/1.95 usesimpsplitting = 0
% 1.56/1.95 usesimpdemod = 5
% 1.56/1.95 usesimpres = 3
% 1.56/1.95
% 1.56/1.95 resimpinuse = 1000
% 1.56/1.95 resimpclauses = 20000
% 1.56/1.95 substype = eqrewr
% 1.56/1.95 backwardsubs = 1
% 1.56/1.95 selectoldest = 5
% 1.56/1.95
% 1.56/1.95 litorderings [0] = split
% 1.56/1.95 litorderings [1] = extend the termordering, first sorting on arguments
% 1.56/1.95
% 1.56/1.95 termordering = kbo
% 1.56/1.95
% 1.56/1.95 litapriori = 0
% 1.56/1.95 termapriori = 1
% 1.56/1.95 litaposteriori = 0
% 1.56/1.95 termaposteriori = 0
% 1.56/1.95 demodaposteriori = 0
% 1.56/1.95 ordereqreflfact = 0
% 1.56/1.95
% 1.56/1.95 litselect = negord
% 1.56/1.95
% 1.56/1.95 maxweight = 15
% 1.56/1.95 maxdepth = 30000
% 1.56/1.95 maxlength = 115
% 1.56/1.95 maxnrvars = 195
% 1.56/1.95 excuselevel = 1
% 1.56/1.95 increasemaxweight = 1
% 1.56/1.95
% 1.56/1.95 maxselected = 10000000
% 1.56/1.95 maxnrclauses = 10000000
% 1.56/1.95
% 1.56/1.95 showgenerated = 0
% 1.56/1.95 showkept = 0
% 1.56/1.95 showselected = 0
% 1.56/1.95 showdeleted = 0
% 1.56/1.95 showresimp = 1
% 1.56/1.95 showstatus = 2000
% 1.56/1.95
% 1.56/1.95 prologoutput = 0
% 1.56/1.95 nrgoals = 5000000
% 1.56/1.95 totalproof = 1
% 1.56/1.95
% 1.56/1.95 Symbols occurring in the translation:
% 1.56/1.95
% 1.56/1.95 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.56/1.95 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 1.56/1.95 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.56/1.95 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.56/1.95 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.56/1.95 cUnsatisfiable [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.56/1.95 cowlNothing [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.56/1.95 cowlThing [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.56/1.95 cp [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.56/1.95 rf [42, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.56/1.95 rf1 [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.56/1.95 rinvF [44, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.56/1.95 rinvF1 [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.56/1.95 rinvS [46, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.56/1.95 rs [47, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.56/1.95 xsd_integer [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.56/1.95 xsd_string [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.56/1.95 i2003_11_14_17_18_54369 [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.56/1.95 alpha1 [55, 1] (w:1, o:25, a:1, s:1, b:1),
% 1.56/1.95 alpha2 [56, 1] (w:1, o:26, a:1, s:1, b:1),
% 1.56/1.95 alpha3 [57, 1] (w:1, o:27, a:1, s:1, b:1),
% 1.56/1.95 alpha4 [58, 1] (w:1, o:28, a:1, s:1, b:1),
% 1.56/1.95 alpha5 [59, 1] (w:1, o:29, a:1, s:1, b:1),
% 1.56/1.95 skol1 [60, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.56/1.95 skol2 [61, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.56/1.95 skol3 [62, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.56/1.95 skol4 [63, 1] (w:1, o:33, a:1, s:1, b:1).
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Starting Search:
% 1.56/1.95
% 1.56/1.95 *** allocated 15000 integers for clauses
% 1.56/1.95 *** allocated 22500 integers for clauses
% 1.56/1.95 *** allocated 33750 integers for clauses
% 1.56/1.95 *** allocated 15000 integers for termspace/termends
% 1.56/1.95 *** allocated 50625 integers for clauses
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 22500 integers for termspace/termends
% 1.56/1.95 *** allocated 75937 integers for clauses
% 1.56/1.95 *** allocated 33750 integers for termspace/termends
% 1.56/1.95
% 1.56/1.95 Intermediate Status:
% 1.56/1.95 Generated: 6189
% 1.56/1.95 Kept: 2001
% 1.56/1.95 Inuse: 241
% 1.56/1.95 Deleted: 19
% 1.56/1.95 Deletedinuse: 10
% 1.56/1.95
% 1.56/1.95 *** allocated 113905 integers for clauses
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 50625 integers for termspace/termends
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 170857 integers for clauses
% 1.56/1.95 *** allocated 75937 integers for termspace/termends
% 1.56/1.95
% 1.56/1.95 Intermediate Status:
% 1.56/1.95 Generated: 14557
% 1.56/1.95 Kept: 4003
% 1.56/1.95 Inuse: 400
% 1.56/1.95 Deleted: 27
% 1.56/1.95 Deletedinuse: 12
% 1.56/1.95
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 256285 integers for clauses
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 113905 integers for termspace/termends
% 1.56/1.95
% 1.56/1.95 Intermediate Status:
% 1.56/1.95 Generated: 24020
% 1.56/1.95 Kept: 6012
% 1.56/1.95 Inuse: 520
% 1.56/1.95 Deleted: 31
% 1.56/1.95 Deletedinuse: 12
% 1.56/1.95
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 384427 integers for clauses
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Intermediate Status:
% 1.56/1.95 Generated: 34068
% 1.56/1.95 Kept: 8020
% 1.56/1.95 Inuse: 605
% 1.56/1.95 Deleted: 35
% 1.56/1.95 Deletedinuse: 15
% 1.56/1.95
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95 *** allocated 170857 integers for termspace/termends
% 1.56/1.95 Resimplifying inuse:
% 1.56/1.95 Done
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Bliksems!, er is een bewijs:
% 1.56/1.95 % SZS status Unsatisfiable
% 1.56/1.95 % SZS output start Refutation
% 1.56/1.95
% 1.56/1.95 (4) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.56/1.95 (12) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 1.56/1.95 (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.56/1.95 (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), ! cp( X ) }.
% 1.56/1.95 (25) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha2( skol1( Y ) ) }.
% 1.56/1.95 (26) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X ) ) }.
% 1.56/1.95 (28) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 1.56/1.95 (29) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 1.56/1.95 (31) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvF( X, Y ), alpha5( Y )
% 1.56/1.95 }.
% 1.56/1.95 (35) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rs( X, skol3( X ) ) }.
% 1.56/1.95 (37) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvS( X, Y ), cp( Y ) }.
% 1.56/1.95 (40) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.56/1.95 (43) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.56/1.95 (47) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.56/1.95 (49) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (51) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 1.56/1.95 (55) {G1,W2,D2,L1,V0,M1} R(23,49) { ! cp( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (57) {G1,W2,D2,L1,V0,M1} R(22,49) { alpha1( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (69) {G2,W3,D3,L1,V1,M1} R(25,57) { alpha2( skol1( X ) ) }.
% 1.56/1.95 (72) {G3,W3,D3,L1,V1,M1} R(69,28) { alpha3( skol1( X ) ) }.
% 1.56/1.95 (73) {G3,W3,D3,L1,V1,M1} R(69,29) { alpha4( skol1( X ) ) }.
% 1.56/1.95 (140) {G1,W6,D3,L2,V1,M2} R(35,47) { ! alpha5( X ), rinvS( skol3( X ), X )
% 1.56/1.95 }.
% 1.56/1.95 (142) {G1,W6,D3,L2,V1,M2} R(35,51) { ! alpha5( X ), rf( X, skol3( X ) ) }.
% 1.56/1.95 (156) {G2,W9,D3,L3,V2,M3} R(12,140) { ! skol3( X ) = Y, rinvS( Y, X ), !
% 1.56/1.95 alpha5( X ) }.
% 1.56/1.95 (173) {G2,W4,D3,L1,V0,M1} R(26,57) { rf( i2003_11_14_17_18_54369, skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 (182) {G3,W4,D3,L1,V0,M1} R(173,43) { rinvF( skol1( i2003_11_14_17_18_54369
% 1.56/1.95 ), i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (184) {G3,W7,D3,L2,V1,M2} R(173,4) { ! i2003_11_14_17_18_54369 = X, rf( X,
% 1.56/1.95 skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 (219) {G2,W5,D2,L2,V1,M2} R(37,55) { ! alpha3( X ), ! rinvS( X,
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (236) {G4,W4,D3,L1,V1,M1} R(219,72) { ! rinvS( skol1( X ),
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (327) {G4,W2,D2,L1,V0,M1} R(31,182);r(73) { alpha5( i2003_11_14_17_18_54369
% 1.56/1.95 ) }.
% 1.56/1.95 (352) {G5,W4,D3,L1,V0,M1} R(327,142) { rf( i2003_11_14_17_18_54369, skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 (488) {G6,W7,D3,L2,V1,M2} R(352,40) { ! rf( i2003_11_14_17_18_54369, X ),
% 1.56/1.95 skol3( i2003_11_14_17_18_54369 ) = X }.
% 1.56/1.95 (5232) {G5,W5,D3,L1,V1,M1} R(156,236);r(327) { ! skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) = skol1( X ) }.
% 1.56/1.95 (9893) {G7,W0,D0,L0,V0,M0} R(488,184);q;r(5232) { }.
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 % SZS output end Refutation
% 1.56/1.95 found a proof!
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Unprocessed initial clauses:
% 1.56/1.95
% 1.56/1.95 (9895) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 1.56/1.95 cUnsatisfiable( X ) }.
% 1.56/1.95 (9896) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 1.56/1.95 }.
% 1.56/1.95 (9897) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 1.56/1.95 (9898) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 1.56/1.95 (9899) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.56/1.95 (9900) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.56/1.95 (9901) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Z, Y ), rf1( X, Y ) }.
% 1.56/1.95 (9902) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf1( Y, Z ), rf1( Y, X ) }.
% 1.56/1.95 (9903) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.56/1.95 (9904) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.56/1.95 (9905) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Z, Y ), rinvF1( X, Y ) }.
% 1.56/1.95 (9906) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF1( Y, Z ), rinvF1( Y, X ) }.
% 1.56/1.95 (9907) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 1.56/1.95 (9908) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 1.56/1.95 (9909) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 1.56/1.95 (9910) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 1.56/1.95 (9911) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 1.56/1.95 }.
% 1.56/1.95 (9912) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 1.56/1.95 }.
% 1.56/1.95 (9913) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 1.56/1.95 (9914) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 1.56/1.95 (9915) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.56/1.95 (9916) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 1.56/1.95 (9917) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.56/1.95 (9918) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), ! cp( X ) }.
% 1.56/1.95 (9919) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), cp( X ), cUnsatisfiable( X )
% 1.56/1.95 }.
% 1.56/1.95 (9920) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), alpha2( skol1( Y ) ) }.
% 1.56/1.95 (9921) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rf( X, skol1( X ) ) }.
% 1.56/1.95 (9922) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! alpha2( Y ), alpha1( X ) }.
% 1.56/1.95 (9923) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 1.56/1.95 (9924) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 1.56/1.95 (9925) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), ! alpha4( X ), alpha2( X ) }.
% 1.56/1.95 (9926) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! rinvF( X, Y ), alpha5( Y )
% 1.56/1.95 }.
% 1.56/1.95 (9927) {G0,W5,D3,L2,V2,M2} { ! alpha5( skol2( Y ) ), alpha4( X ) }.
% 1.56/1.95 (9928) {G0,W6,D3,L2,V1,M2} { rinvF( X, skol2( X ) ), alpha4( X ) }.
% 1.56/1.95 (9929) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cp( skol3( Y ) ) }.
% 1.56/1.95 (9930) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rs( X, skol3( X ) ) }.
% 1.56/1.95 (9931) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! cp( Y ), alpha5( X ) }.
% 1.56/1.95 (9932) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rinvS( X, Y ), cp( Y ) }.
% 1.56/1.95 (9933) {G0,W5,D3,L2,V2,M2} { ! cp( skol4( Y ) ), alpha3( X ) }.
% 1.56/1.95 (9934) {G0,W6,D3,L2,V1,M2} { rinvS( X, skol4( X ) ), alpha3( X ) }.
% 1.56/1.95 (9935) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.56/1.95 (9936) {G0,W9,D2,L3,V3,M3} { ! rf1( Z, X ), ! rf1( Z, Y ), X = Y }.
% 1.56/1.95 (9937) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.56/1.95 (9938) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.56/1.95 (9939) {G0,W6,D2,L2,V2,M2} { ! rinvF1( X, Y ), rf1( Y, X ) }.
% 1.56/1.95 (9940) {G0,W6,D2,L2,V2,M2} { ! rf1( Y, X ), rinvF1( X, Y ) }.
% 1.56/1.95 (9941) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 1.56/1.95 (9942) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.56/1.95 (9943) {G0,W9,D2,L3,V3,M3} { ! rs( Z, X ), ! rs( Z, Y ), X = Y }.
% 1.56/1.95 (9944) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 (9945) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf1( X, Y ) }.
% 1.56/1.95 (9946) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Total Proof:
% 1.56/1.95
% 1.56/1.95 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rf( Z, Y ), rf( X, Y )
% 1.56/1.95 }.
% 1.56/1.95 parent0: (9899) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 Z := Z
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 2 ==> 2
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (12) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rinvS( Z, Y ), rinvS(
% 1.56/1.95 X, Y ) }.
% 1.56/1.95 parent0: (9907) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X,
% 1.56/1.95 Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 Z := Z
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 2 ==> 2
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 1.56/1.95 ) }.
% 1.56/1.95 parent0: (9917) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), ! cp( X )
% 1.56/1.95 }.
% 1.56/1.95 parent0: (9918) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), ! cp( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (25) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha2( skol1( Y )
% 1.56/1.95 ) }.
% 1.56/1.95 parent0: (9920) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), alpha2( skol1( Y ) )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X )
% 1.56/1.95 ) }.
% 1.56/1.95 parent0: (9921) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rf( X, skol1( X ) )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (28) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 1.56/1.95 parent0: (9923) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha3( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (29) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 1.56/1.95 parent0: (9924) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (31) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvF( X, Y ),
% 1.56/1.95 alpha5( Y ) }.
% 1.56/1.95 parent0: (9926) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! rinvF( X, Y ),
% 1.56/1.95 alpha5( Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 2 ==> 2
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (35) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rs( X, skol3( X )
% 1.56/1.95 ) }.
% 1.56/1.95 parent0: (9930) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rs( X, skol3( X ) )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (37) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvS( X, Y ),
% 1.56/1.95 cp( Y ) }.
% 1.56/1.95 parent0: (9932) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rinvS( X, Y ), cp(
% 1.56/1.95 Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 2 ==> 2
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (40) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.56/1.95 }.
% 1.56/1.95 parent0: (9935) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 Z := Z
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 2 ==> 2
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (43) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.56/1.95 parent0: (9938) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (47) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.56/1.95 parent0: (9942) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (49) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (9944) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (51) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 1.56/1.95 parent0: (9946) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rf( X, Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10228) {G1,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_18_54369 )
% 1.56/1.95 }.
% 1.56/1.95 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), ! cp( X )
% 1.56/1.95 }.
% 1.56/1.95 parent1[0]: (49) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (55) {G1,W2,D2,L1,V0,M1} R(23,49) { ! cp(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (10228) {G1,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10229) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_18_54369
% 1.56/1.95 ) }.
% 1.56/1.95 parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 1.56/1.95 }.
% 1.56/1.95 parent1[0]: (49) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (57) {G1,W2,D2,L1,V0,M1} R(22,49) { alpha1(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (10229) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_18_54369 )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10230) {G1,W3,D3,L1,V1,M1} { alpha2( skol1( X ) ) }.
% 1.56/1.95 parent0[0]: (25) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), alpha2( skol1( Y )
% 1.56/1.95 ) }.
% 1.56/1.95 parent1[0]: (57) {G1,W2,D2,L1,V0,M1} R(22,49) { alpha1(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 Y := X
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (69) {G2,W3,D3,L1,V1,M1} R(25,57) { alpha2( skol1( X ) ) }.
% 1.56/1.95 parent0: (10230) {G1,W3,D3,L1,V1,M1} { alpha2( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10231) {G1,W3,D3,L1,V1,M1} { alpha3( skol1( X ) ) }.
% 1.56/1.95 parent0[0]: (28) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha3( X ) }.
% 1.56/1.95 parent1[0]: (69) {G2,W3,D3,L1,V1,M1} R(25,57) { alpha2( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol1( X )
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (72) {G3,W3,D3,L1,V1,M1} R(69,28) { alpha3( skol1( X ) ) }.
% 1.56/1.95 parent0: (10231) {G1,W3,D3,L1,V1,M1} { alpha3( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10232) {G1,W3,D3,L1,V1,M1} { alpha4( skol1( X ) ) }.
% 1.56/1.95 parent0[0]: (29) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 1.56/1.95 parent1[0]: (69) {G2,W3,D3,L1,V1,M1} R(25,57) { alpha2( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol1( X )
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (73) {G3,W3,D3,L1,V1,M1} R(69,29) { alpha4( skol1( X ) ) }.
% 1.56/1.95 parent0: (10232) {G1,W3,D3,L1,V1,M1} { alpha4( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10233) {G1,W6,D3,L2,V1,M2} { rinvS( skol3( X ), X ), ! alpha5
% 1.56/1.95 ( X ) }.
% 1.56/1.95 parent0[0]: (47) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 1.56/1.95 parent1[1]: (35) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rs( X, skol3( X ) )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol3( X )
% 1.56/1.95 Y := X
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (140) {G1,W6,D3,L2,V1,M2} R(35,47) { ! alpha5( X ), rinvS(
% 1.56/1.95 skol3( X ), X ) }.
% 1.56/1.95 parent0: (10233) {G1,W6,D3,L2,V1,M2} { rinvS( skol3( X ), X ), ! alpha5( X
% 1.56/1.95 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 1
% 1.56/1.95 1 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10234) {G1,W6,D3,L2,V1,M2} { rf( X, skol3( X ) ), ! alpha5( X
% 1.56/1.95 ) }.
% 1.56/1.95 parent0[0]: (51) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rf( X, Y ) }.
% 1.56/1.95 parent1[1]: (35) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rs( X, skol3( X ) )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := skol3( X )
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (142) {G1,W6,D3,L2,V1,M2} R(35,51) { ! alpha5( X ), rf( X,
% 1.56/1.95 skol3( X ) ) }.
% 1.56/1.95 parent0: (10234) {G1,W6,D3,L2,V1,M2} { rf( X, skol3( X ) ), ! alpha5( X )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 1
% 1.56/1.95 1 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10235) {G0,W9,D2,L3,V3,M3} { ! Y = X, ! rinvS( X, Z ), rinvS( Y,
% 1.56/1.95 Z ) }.
% 1.56/1.95 parent0[0]: (12) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rinvS( Z, Y ), rinvS( X
% 1.56/1.95 , Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := Y
% 1.56/1.95 Y := Z
% 1.56/1.95 Z := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10236) {G1,W9,D3,L3,V2,M3} { ! X = skol3( Y ), rinvS( X, Y )
% 1.56/1.95 , ! alpha5( Y ) }.
% 1.56/1.95 parent0[1]: (10235) {G0,W9,D2,L3,V3,M3} { ! Y = X, ! rinvS( X, Z ), rinvS
% 1.56/1.95 ( Y, Z ) }.
% 1.56/1.95 parent1[1]: (140) {G1,W6,D3,L2,V1,M2} R(35,47) { ! alpha5( X ), rinvS(
% 1.56/1.95 skol3( X ), X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol3( Y )
% 1.56/1.95 Y := X
% 1.56/1.95 Z := Y
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := Y
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10237) {G1,W9,D3,L3,V2,M3} { ! skol3( Y ) = X, rinvS( X, Y ), !
% 1.56/1.95 alpha5( Y ) }.
% 1.56/1.95 parent0[0]: (10236) {G1,W9,D3,L3,V2,M3} { ! X = skol3( Y ), rinvS( X, Y )
% 1.56/1.95 , ! alpha5( Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (156) {G2,W9,D3,L3,V2,M3} R(12,140) { ! skol3( X ) = Y, rinvS
% 1.56/1.95 ( Y, X ), ! alpha5( X ) }.
% 1.56/1.95 parent0: (10237) {G1,W9,D3,L3,V2,M3} { ! skol3( Y ) = X, rinvS( X, Y ), !
% 1.56/1.95 alpha5( Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := Y
% 1.56/1.95 Y := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 2 ==> 2
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10238) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_18_54369,
% 1.56/1.95 skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rf( X, skol1( X ) )
% 1.56/1.95 }.
% 1.56/1.95 parent1[0]: (57) {G1,W2,D2,L1,V0,M1} R(22,49) { alpha1(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (173) {G2,W4,D3,L1,V0,M1} R(26,57) { rf(
% 1.56/1.95 i2003_11_14_17_18_54369, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0: (10238) {G1,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_18_54369, skol1
% 1.56/1.95 ( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10239) {G1,W4,D3,L1,V0,M1} { rinvF( skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ), i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.56/1.95 parent1[0]: (173) {G2,W4,D3,L1,V0,M1} R(26,57) { rf(
% 1.56/1.95 i2003_11_14_17_18_54369, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 Y := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (182) {G3,W4,D3,L1,V0,M1} R(173,43) { rinvF( skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ), i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (10239) {G1,W4,D3,L1,V0,M1} { rinvF( skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ), i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10240) {G0,W9,D2,L3,V3,M3} { ! Y = X, ! rf( X, Z ), rf( Y, Z )
% 1.56/1.95 }.
% 1.56/1.95 parent0[0]: (4) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rf( Z, Y ), rf( X, Y )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := Y
% 1.56/1.95 Y := Z
% 1.56/1.95 Z := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10241) {G1,W7,D3,L2,V1,M2} { ! X = i2003_11_14_17_18_54369,
% 1.56/1.95 rf( X, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0[1]: (10240) {G0,W9,D2,L3,V3,M3} { ! Y = X, ! rf( X, Z ), rf( Y, Z
% 1.56/1.95 ) }.
% 1.56/1.95 parent1[0]: (173) {G2,W4,D3,L1,V0,M1} R(26,57) { rf(
% 1.56/1.95 i2003_11_14_17_18_54369, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 Y := X
% 1.56/1.95 Z := skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10242) {G1,W7,D3,L2,V1,M2} { ! i2003_11_14_17_18_54369 = X, rf( X
% 1.56/1.95 , skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0[0]: (10241) {G1,W7,D3,L2,V1,M2} { ! X = i2003_11_14_17_18_54369,
% 1.56/1.95 rf( X, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (184) {G3,W7,D3,L2,V1,M2} R(173,4) { ! i2003_11_14_17_18_54369
% 1.56/1.95 = X, rf( X, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0: (10242) {G1,W7,D3,L2,V1,M2} { ! i2003_11_14_17_18_54369 = X, rf(
% 1.56/1.95 X, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10243) {G1,W5,D2,L2,V1,M2} { ! alpha3( X ), ! rinvS( X,
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[0]: (55) {G1,W2,D2,L1,V0,M1} R(23,49) { ! cp(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent1[2]: (37) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvS( X, Y ), cp
% 1.56/1.95 ( Y ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := X
% 1.56/1.95 Y := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (219) {G2,W5,D2,L2,V1,M2} R(37,55) { ! alpha3( X ), ! rinvS( X
% 1.56/1.95 , i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (10243) {G1,W5,D2,L2,V1,M2} { ! alpha3( X ), ! rinvS( X,
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10244) {G3,W4,D3,L1,V1,M1} { ! rinvS( skol1( X ),
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[0]: (219) {G2,W5,D2,L2,V1,M2} R(37,55) { ! alpha3( X ), ! rinvS( X
% 1.56/1.95 , i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent1[0]: (72) {G3,W3,D3,L1,V1,M1} R(69,28) { alpha3( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol1( X )
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (236) {G4,W4,D3,L1,V1,M1} R(219,72) { ! rinvS( skol1( X ),
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (10244) {G3,W4,D3,L1,V1,M1} { ! rinvS( skol1( X ),
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10245) {G1,W5,D3,L2,V0,M2} { ! alpha4( skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ) ), alpha5( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[1]: (31) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvF( X, Y ),
% 1.56/1.95 alpha5( Y ) }.
% 1.56/1.95 parent1[0]: (182) {G3,W4,D3,L1,V0,M1} R(173,43) { rinvF( skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ), i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 Y := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10246) {G2,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_18_54369
% 1.56/1.95 ) }.
% 1.56/1.95 parent0[0]: (10245) {G1,W5,D3,L2,V0,M2} { ! alpha4( skol1(
% 1.56/1.95 i2003_11_14_17_18_54369 ) ), alpha5( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent1[0]: (73) {G3,W3,D3,L1,V1,M1} R(69,29) { alpha4( skol1( X ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (327) {G4,W2,D2,L1,V0,M1} R(31,182);r(73) { alpha5(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0: (10246) {G2,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_18_54369 )
% 1.56/1.95 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10247) {G2,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_18_54369,
% 1.56/1.95 skol3( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0[0]: (142) {G1,W6,D3,L2,V1,M2} R(35,51) { ! alpha5( X ), rf( X,
% 1.56/1.95 skol3( X ) ) }.
% 1.56/1.95 parent1[0]: (327) {G4,W2,D2,L1,V0,M1} R(31,182);r(73) { alpha5(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (352) {G5,W4,D3,L1,V0,M1} R(327,142) { rf(
% 1.56/1.95 i2003_11_14_17_18_54369, skol3( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0: (10247) {G2,W4,D3,L1,V0,M1} { rf( i2003_11_14_17_18_54369, skol3
% 1.56/1.95 ( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10248) {G1,W7,D3,L2,V1,M2} { ! rf( i2003_11_14_17_18_54369, X
% 1.56/1.95 ), skol3( i2003_11_14_17_18_54369 ) = X }.
% 1.56/1.95 parent0[0]: (40) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.56/1.95 }.
% 1.56/1.95 parent1[0]: (352) {G5,W4,D3,L1,V0,M1} R(327,142) { rf(
% 1.56/1.95 i2003_11_14_17_18_54369, skol3( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol3( i2003_11_14_17_18_54369 )
% 1.56/1.95 Y := X
% 1.56/1.95 Z := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (488) {G6,W7,D3,L2,V1,M2} R(352,40) { ! rf(
% 1.56/1.95 i2003_11_14_17_18_54369, X ), skol3( i2003_11_14_17_18_54369 ) = X }.
% 1.56/1.95 parent0: (10248) {G1,W7,D3,L2,V1,M2} { ! rf( i2003_11_14_17_18_54369, X )
% 1.56/1.95 , skol3( i2003_11_14_17_18_54369 ) = X }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 1 ==> 1
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10250) {G2,W9,D3,L3,V2,M3} { ! Y = skol3( X ), rinvS( Y, X ), !
% 1.56/1.95 alpha5( X ) }.
% 1.56/1.95 parent0[0]: (156) {G2,W9,D3,L3,V2,M3} R(12,140) { ! skol3( X ) = Y, rinvS(
% 1.56/1.95 Y, X ), ! alpha5( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 Y := Y
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10251) {G3,W7,D3,L2,V1,M2} { ! skol1( X ) = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ), ! alpha5( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[0]: (236) {G4,W4,D3,L1,V1,M1} R(219,72) { ! rinvS( skol1( X ),
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent1[1]: (10250) {G2,W9,D3,L3,V2,M3} { ! Y = skol3( X ), rinvS( Y, X )
% 1.56/1.95 , ! alpha5( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 Y := skol1( X )
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10252) {G4,W5,D3,L1,V1,M1} { ! skol1( X ) = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[1]: (10251) {G3,W7,D3,L2,V1,M2} { ! skol1( X ) = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ), ! alpha5( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent1[0]: (327) {G4,W2,D2,L1,V0,M1} R(31,182);r(73) { alpha5(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10253) {G4,W5,D3,L1,V1,M1} { ! skol3( i2003_11_14_17_18_54369 ) =
% 1.56/1.95 skol1( X ) }.
% 1.56/1.95 parent0[0]: (10252) {G4,W5,D3,L1,V1,M1} { ! skol1( X ) = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (5232) {G5,W5,D3,L1,V1,M1} R(156,236);r(327) { ! skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) = skol1( X ) }.
% 1.56/1.95 parent0: (10253) {G4,W5,D3,L1,V1,M1} { ! skol3( i2003_11_14_17_18_54369 )
% 1.56/1.95 = skol1( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 0 ==> 0
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10254) {G6,W7,D3,L2,V1,M2} { X = skol3( i2003_11_14_17_18_54369 )
% 1.56/1.95 , ! rf( i2003_11_14_17_18_54369, X ) }.
% 1.56/1.95 parent0[1]: (488) {G6,W7,D3,L2,V1,M2} R(352,40) { ! rf(
% 1.56/1.95 i2003_11_14_17_18_54369, X ), skol3( i2003_11_14_17_18_54369 ) = X }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10255) {G3,W7,D3,L2,V1,M2} { ! X = i2003_11_14_17_18_54369, rf( X
% 1.56/1.95 , skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 parent0[0]: (184) {G3,W7,D3,L2,V1,M2} R(173,4) { ! i2003_11_14_17_18_54369
% 1.56/1.95 = X, rf( X, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqswap: (10256) {G5,W5,D3,L1,V1,M1} { ! skol1( X ) = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[0]: (5232) {G5,W5,D3,L1,V1,M1} R(156,236);r(327) { ! skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) = skol1( X ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := X
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10257) {G4,W8,D3,L2,V0,M2} { skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 = skol3( i2003_11_14_17_18_54369 ), ! i2003_11_14_17_18_54369 =
% 1.56/1.95 i2003_11_14_17_18_54369 }.
% 1.56/1.95 parent0[1]: (10254) {G6,W7,D3,L2,V1,M2} { X = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ), ! rf( i2003_11_14_17_18_54369, X ) }.
% 1.56/1.95 parent1[1]: (10255) {G3,W7,D3,L2,V1,M2} { ! X = i2003_11_14_17_18_54369,
% 1.56/1.95 rf( X, skol1( i2003_11_14_17_18_54369 ) ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 eqrefl: (10258) {G0,W5,D3,L1,V0,M1} { skol1( i2003_11_14_17_18_54369 ) =
% 1.56/1.95 skol3( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent0[1]: (10257) {G4,W8,D3,L2,V0,M2} { skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 = skol3( i2003_11_14_17_18_54369 ), ! i2003_11_14_17_18_54369 =
% 1.56/1.95 i2003_11_14_17_18_54369 }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 resolution: (10259) {G1,W0,D0,L0,V0,M0} { }.
% 1.56/1.95 parent0[0]: (10256) {G5,W5,D3,L1,V1,M1} { ! skol1( X ) = skol3(
% 1.56/1.95 i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 parent1[0]: (10258) {G0,W5,D3,L1,V0,M1} { skol1( i2003_11_14_17_18_54369 )
% 1.56/1.95 = skol3( i2003_11_14_17_18_54369 ) }.
% 1.56/1.95 substitution0:
% 1.56/1.95 X := i2003_11_14_17_18_54369
% 1.56/1.95 end
% 1.56/1.95 substitution1:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 subsumption: (9893) {G7,W0,D0,L0,V0,M0} R(488,184);q;r(5232) { }.
% 1.56/1.95 parent0: (10259) {G1,W0,D0,L0,V0,M0} { }.
% 1.56/1.95 substitution0:
% 1.56/1.95 end
% 1.56/1.95 permutation0:
% 1.56/1.95 end
% 1.56/1.95
% 1.56/1.95 Proof check complete!
% 1.56/1.95
% 1.56/1.95 Memory use:
% 1.56/1.95
% 1.56/1.95 space for terms: 137411
% 1.56/1.95 space for clauses: 355928
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 clauses generated: 45806
% 1.56/1.95 clauses kept: 9894
% 1.56/1.95 clauses selected: 702
% 1.56/1.95 clauses deleted: 37
% 1.56/1.95 clauses inuse deleted: 15
% 1.56/1.95
% 1.56/1.95 subsentry: 271390
% 1.56/1.95 literals s-matched: 157291
% 1.56/1.95 literals matched: 139820
% 1.56/1.95 full subsumption: 81493
% 1.56/1.95
% 1.56/1.95 checksum: -385648734
% 1.56/1.95
% 1.56/1.95
% 1.56/1.95 Bliksem ended
%------------------------------------------------------------------------------