TSTP Solution File: KRS117+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 02:42:19 EDT 2022
% Result : Unsatisfiable 2.73s 3.16s
% Output : Refutation 2.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 7 06:19:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.73/3.16 *** allocated 10000 integers for termspace/termends
% 2.73/3.16 *** allocated 10000 integers for clauses
% 2.73/3.16 *** allocated 10000 integers for justifications
% 2.73/3.16 Bliksem 1.12
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Automatic Strategy Selection
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Clauses:
% 2.73/3.16
% 2.73/3.16 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 2.73/3.16 { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 2.73/3.16 { ! Y = X, ! cc( Y ), cc( X ) }.
% 2.73/3.16 { ! Y = X, ! ccxcomp( Y ), ccxcomp( X ) }.
% 2.73/3.16 { ! Y = X, ! cd( Y ), cd( X ) }.
% 2.73/3.16 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 2.73/3.16 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 2.73/3.16 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 2.73/3.16 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 2.73/3.16 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 2.73/3.16 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 2.73/3.16 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 2.73/3.16 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 2.73/3.16 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 2.73/3.16 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 2.73/3.16 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 2.73/3.16 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 2.73/3.16 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 2.73/3.16 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 2.73/3.16 { cowlThing( X ) }.
% 2.73/3.16 { ! cowlNothing( X ) }.
% 2.73/3.16 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 2.73/3.16 { xsd_integer( X ), xsd_string( X ) }.
% 2.73/3.16 { ! cUnsatisfiable( X ), ccxcomp( X ) }.
% 2.73/3.16 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 2.73/3.16 { ! ccxcomp( X ), ! alpha1( X ), cUnsatisfiable( X ) }.
% 2.73/3.16 { ! alpha1( X ), alpha3( X ) }.
% 2.73/3.16 { ! alpha1( X ), alpha4( X ) }.
% 2.73/3.16 { ! alpha3( X ), ! alpha4( X ), alpha1( X ) }.
% 2.73/3.16 { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.73/3.16 { ! alpha4( X ), rinvF( X, skol1( X ) ) }.
% 2.73/3.16 { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 2.73/3.16 { ! alpha3( X ), ! rinvR( X, Y ), ca_Vx3( Y ) }.
% 2.73/3.16 { ! ca_Vx3( skol2( Y ) ), alpha3( X ) }.
% 2.73/3.16 { rinvR( X, skol2( X ) ), alpha3( X ) }.
% 2.73/3.16 { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.73/3.16 { ra_Px1( X, skol3( X ) ), cc( X ) }.
% 2.73/3.16 { ! ccxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 2.73/3.16 { ! ra_Px1( X, Y ), ccxcomp( X ) }.
% 2.73/3.16 { ! cd( X ), alpha2( X ) }.
% 2.73/3.16 { ! cd( X ), cc( X ) }.
% 2.73/3.16 { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 2.73/3.16 { ! alpha2( X ), ccxcomp( skol5( Y ) ) }.
% 2.73/3.16 { ! alpha2( X ), rf( X, skol5( X ) ) }.
% 2.73/3.16 { ! rf( X, Y ), ! ccxcomp( Y ), alpha2( X ) }.
% 2.73/3.16 { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.73/3.16 { ! ca_Vx3( X ), rinvF( X, skol6( X ) ) }.
% 2.73/3.16 { ! rinvF( X, Y ), ! cd( Y ), ca_Vx3( X ) }.
% 2.73/3.16 { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 2.73/3.16 { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.16 { ! rf( Y, X ), rinvF( X, Y ) }.
% 2.73/3.16 { ! rinvR( X, Y ), rr( Y, X ) }.
% 2.73/3.16 { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.73/3.16 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 2.73/3.16 { cUnsatisfiable( i2003_11_14_17_21_37349 ) }.
% 2.73/3.16 { ! rf( X, Y ), rr( X, Y ) }.
% 2.73/3.16
% 2.73/3.16 percentage equality = 0.144928, percentage horn = 0.946429
% 2.73/3.16 This is a problem with some equality
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Options Used:
% 2.73/3.16
% 2.73/3.16 useres = 1
% 2.73/3.16 useparamod = 1
% 2.73/3.16 useeqrefl = 1
% 2.73/3.16 useeqfact = 1
% 2.73/3.16 usefactor = 1
% 2.73/3.16 usesimpsplitting = 0
% 2.73/3.16 usesimpdemod = 5
% 2.73/3.16 usesimpres = 3
% 2.73/3.16
% 2.73/3.16 resimpinuse = 1000
% 2.73/3.16 resimpclauses = 20000
% 2.73/3.16 substype = eqrewr
% 2.73/3.16 backwardsubs = 1
% 2.73/3.16 selectoldest = 5
% 2.73/3.16
% 2.73/3.16 litorderings [0] = split
% 2.73/3.16 litorderings [1] = extend the termordering, first sorting on arguments
% 2.73/3.16
% 2.73/3.16 termordering = kbo
% 2.73/3.16
% 2.73/3.16 litapriori = 0
% 2.73/3.16 termapriori = 1
% 2.73/3.16 litaposteriori = 0
% 2.73/3.16 termaposteriori = 0
% 2.73/3.16 demodaposteriori = 0
% 2.73/3.16 ordereqreflfact = 0
% 2.73/3.16
% 2.73/3.16 litselect = negord
% 2.73/3.16
% 2.73/3.16 maxweight = 15
% 2.73/3.16 maxdepth = 30000
% 2.73/3.16 maxlength = 115
% 2.73/3.16 maxnrvars = 195
% 2.73/3.16 excuselevel = 1
% 2.73/3.16 increasemaxweight = 1
% 2.73/3.16
% 2.73/3.16 maxselected = 10000000
% 2.73/3.16 maxnrclauses = 10000000
% 2.73/3.16
% 2.73/3.16 showgenerated = 0
% 2.73/3.16 showkept = 0
% 2.73/3.16 showselected = 0
% 2.73/3.16 showdeleted = 0
% 2.73/3.16 showresimp = 1
% 2.73/3.16 showstatus = 2000
% 2.73/3.16
% 2.73/3.16 prologoutput = 0
% 2.73/3.16 nrgoals = 5000000
% 2.73/3.16 totalproof = 1
% 2.73/3.16
% 2.73/3.16 Symbols occurring in the translation:
% 2.73/3.16
% 2.73/3.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.73/3.16 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 2.73/3.16 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 2.73/3.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.73/3.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.73/3.16 cUnsatisfiable [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.73/3.16 ca_Vx3 [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.73/3.16 cc [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.73/3.16 ccxcomp [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.73/3.16 cd [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.73/3.16 cowlNothing [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.73/3.16 cowlThing [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 2.73/3.16 ra_Px1 [45, 2] (w:1, o:63, a:1, s:1, b:0),
% 2.73/3.16 rf [46, 2] (w:1, o:64, a:1, s:1, b:0),
% 2.73/3.16 rinvF [47, 2] (w:1, o:65, a:1, s:1, b:0),
% 2.73/3.16 rinvR [48, 2] (w:1, o:66, a:1, s:1, b:0),
% 2.73/3.16 rr [49, 2] (w:1, o:67, a:1, s:1, b:0),
% 2.73/3.16 xsd_integer [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.73/3.16 xsd_string [51, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.73/3.16 i2003_11_14_17_21_37349 [57, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.73/3.16 alpha1 [58, 1] (w:1, o:29, a:1, s:1, b:1),
% 2.73/3.16 alpha2 [59, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.73/3.16 alpha3 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.73/3.16 alpha4 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.73/3.16 skol1 [62, 1] (w:1, o:33, a:1, s:1, b:1),
% 2.73/3.16 skol2 [63, 1] (w:1, o:34, a:1, s:1, b:1),
% 2.73/3.16 skol3 [64, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.73/3.16 skol4 [65, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.73/3.16 skol5 [66, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.73/3.16 skol6 [67, 1] (w:1, o:38, a:1, s:1, b:1).
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Starting Search:
% 2.73/3.16
% 2.73/3.16 *** allocated 15000 integers for clauses
% 2.73/3.16 *** allocated 22500 integers for clauses
% 2.73/3.16 *** allocated 33750 integers for clauses
% 2.73/3.16 *** allocated 50625 integers for clauses
% 2.73/3.16 *** allocated 15000 integers for termspace/termends
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 75937 integers for clauses
% 2.73/3.16 *** allocated 22500 integers for termspace/termends
% 2.73/3.16 *** allocated 113905 integers for clauses
% 2.73/3.16 *** allocated 33750 integers for termspace/termends
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 6895
% 2.73/3.16 Kept: 2003
% 2.73/3.16 Inuse: 306
% 2.73/3.16 Deleted: 28
% 2.73/3.16 Deletedinuse: 8
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 50625 integers for termspace/termends
% 2.73/3.16 *** allocated 170857 integers for clauses
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 15450
% 2.73/3.16 Kept: 4024
% 2.73/3.16 Inuse: 445
% 2.73/3.16 Deleted: 29
% 2.73/3.16 Deletedinuse: 8
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 75937 integers for termspace/termends
% 2.73/3.16 *** allocated 256285 integers for clauses
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 23177
% 2.73/3.16 Kept: 6024
% 2.73/3.16 Inuse: 554
% 2.73/3.16 Deleted: 30
% 2.73/3.16 Deletedinuse: 8
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 113905 integers for termspace/termends
% 2.73/3.16 *** allocated 384427 integers for clauses
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 31801
% 2.73/3.16 Kept: 8043
% 2.73/3.16 Inuse: 681
% 2.73/3.16 Deleted: 34
% 2.73/3.16 Deletedinuse: 8
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 170857 integers for termspace/termends
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 576640 integers for clauses
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 41253
% 2.73/3.16 Kept: 10182
% 2.73/3.16 Inuse: 773
% 2.73/3.16 Deleted: 57
% 2.73/3.16 Deletedinuse: 28
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 50752
% 2.73/3.16 Kept: 12209
% 2.73/3.16 Inuse: 832
% 2.73/3.16 Deleted: 57
% 2.73/3.16 Deletedinuse: 28
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 256285 integers for termspace/termends
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 59978
% 2.73/3.16 Kept: 14213
% 2.73/3.16 Inuse: 922
% 2.73/3.16 Deleted: 65
% 2.73/3.16 Deletedinuse: 32
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 *** allocated 864960 integers for clauses
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 70220
% 2.73/3.16 Kept: 16222
% 2.73/3.16 Inuse: 997
% 2.73/3.16 Deleted: 69
% 2.73/3.16 Deletedinuse: 36
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Intermediate Status:
% 2.73/3.16 Generated: 79850
% 2.73/3.16 Kept: 18439
% 2.73/3.16 Inuse: 1061
% 2.73/3.16 Deleted: 76
% 2.73/3.16 Deletedinuse: 36
% 2.73/3.16
% 2.73/3.16 Resimplifying inuse:
% 2.73/3.16 Done
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Bliksems!, er is een bewijs:
% 2.73/3.16 % SZS status Unsatisfiable
% 2.73/3.16 % SZS output start Refutation
% 2.73/3.16
% 2.73/3.16 (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ccxcomp( Y ), ccxcomp( X ) }.
% 2.73/3.16 (19) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 2.73/3.16 (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 2.73/3.16 (26) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 2.73/3.16 (27) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha4( X ) }.
% 2.73/3.16 (29) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.73/3.16 (30) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol1( X ) ) }.
% 2.73/3.16 (32) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvR( X, Y ), ca_Vx3( Y )
% 2.73/3.16 }.
% 2.73/3.16 (35) {G0,W5,D2,L2,V2,M2} I { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.73/3.16 (37) {G0,W6,D3,L2,V1,M2} I { ! ccxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 2.73/3.16 (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.73/3.16 (40) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 2.73/3.16 (42) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ccxcomp( skol5( Y ) ) }.
% 2.73/3.16 (43) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol5( X ) ) }.
% 2.73/3.16 (45) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.73/3.16 (46) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rinvF( X, skol6( X ) ) }.
% 2.73/3.16 (48) {G1,W9,D2,L3,V3,M3} I;r(19) { ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 2.73/3.16 (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.16 (52) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.73/3.16 (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_37349 ) }.
% 2.73/3.16 (55) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 2.73/3.16 (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha1( i2003_11_14_17_21_37349 ) }.
% 2.73/3.16 (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha3( i2003_11_14_17_21_37349 ) }.
% 2.73/3.16 (63) {G2,W2,D2,L1,V0,M1} R(61,27) { alpha4( i2003_11_14_17_21_37349 ) }.
% 2.73/3.16 (75) {G1,W5,D2,L2,V2,M2} R(35,40) { ! ra_Px1( X, Y ), ! cd( X ) }.
% 2.73/3.16 (91) {G1,W5,D3,L2,V2,M2} R(42,39) { ccxcomp( skol5( X ) ), ! cd( Y ) }.
% 2.73/3.16 (100) {G3,W3,D3,L1,V1,M1} R(29,63) { cd( skol1( X ) ) }.
% 2.73/3.16 (104) {G4,W3,D3,L1,V1,M1} R(100,91) { ccxcomp( skol5( X ) ) }.
% 2.73/3.16 (106) {G4,W4,D3,L1,V2,M1} R(100,75) { ! ra_Px1( skol1( X ), Y ) }.
% 2.73/3.16 (109) {G5,W6,D3,L2,V2,M2} R(104,3) { ! skol5( X ) = Y, ccxcomp( Y ) }.
% 2.73/3.16 (117) {G1,W6,D2,L2,V2,M2} R(52,55) { rinvR( X, Y ), ! rf( Y, X ) }.
% 2.73/3.16 (127) {G2,W6,D2,L2,V2,M2} R(49,117) { ! rinvF( X, Y ), rinvR( X, Y ) }.
% 2.73/3.16 (166) {G1,W6,D3,L2,V1,M2} R(46,49) { ! ca_Vx3( X ), rf( skol6( X ), X ) }.
% 2.73/3.16 (185) {G1,W6,D3,L2,V1,M2} R(43,39) { rf( X, skol5( X ) ), ! cd( X ) }.
% 2.73/3.16 (225) {G5,W3,D3,L1,V1,M1} R(37,106) { ! ccxcomp( skol1( X ) ) }.
% 2.73/3.16 (236) {G6,W5,D3,L1,V2,M1} R(225,109) { ! skol5( X ) = skol1( Y ) }.
% 2.73/3.16 (266) {G3,W4,D3,L1,V0,M1} R(30,63) { rinvF( i2003_11_14_17_21_37349, skol1
% 2.73/3.16 ( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.16 (283) {G4,W4,D3,L1,V0,M1} R(266,127) { rinvR( i2003_11_14_17_21_37349,
% 2.73/3.16 skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.16 (289) {G5,W3,D3,L1,V0,M1} R(32,283);r(62) { ca_Vx3( skol1(
% 2.73/3.16 i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.16 (312) {G6,W6,D4,L1,V0,M1} R(289,166) { rf( skol6( skol1(
% 2.73/3.16 i2003_11_14_17_21_37349 ) ), skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.16 (319) {G6,W3,D3,L1,V1,M1} R(289,45) { cd( skol6( X ) ) }.
% 2.73/3.16 (449) {G2,W9,D3,L3,V2,M3} R(48,185) { ! rf( X, Y ), skol5( X ) = Y, ! cd( X
% 2.73/3.16 ) }.
% 2.73/3.16 (18262) {G7,W4,D4,L1,V0,M1} R(449,312);r(236) { ! cd( skol6( skol1(
% 2.73/3.16 i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.16 (18439) {G8,W0,D0,L0,V0,M0} S(18262);r(319) { }.
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 % SZS output end Refutation
% 2.73/3.16 found a proof!
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Unprocessed initial clauses:
% 2.73/3.16
% 2.73/3.16 (18441) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 2.73/3.16 cUnsatisfiable( X ) }.
% 2.73/3.16 (18442) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 2.73/3.16 (18443) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc( Y ), cc( X ) }.
% 2.73/3.16 (18444) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( Y ), ccxcomp( X ) }.
% 2.73/3.16 (18445) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( Y ), cd( X ) }.
% 2.73/3.16 (18446) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X
% 2.73/3.16 ) }.
% 2.73/3.16 (18447) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X )
% 2.73/3.16 }.
% 2.73/3.16 (18448) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y )
% 2.73/3.16 }.
% 2.73/3.16 (18449) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X )
% 2.73/3.16 }.
% 2.73/3.16 (18450) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 2.73/3.16 (18451) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 2.73/3.16 (18452) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 2.73/3.16 (18453) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 2.73/3.16 (18454) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 2.73/3.16 (18455) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 2.73/3.16 (18456) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 2.73/3.16 (18457) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 2.73/3.16 (18458) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X
% 2.73/3.16 ) }.
% 2.73/3.16 (18459) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 2.73/3.16 }.
% 2.73/3.16 (18460) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 2.73/3.16 (18461) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 2.73/3.16 (18462) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 2.73/3.16 (18463) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 2.73/3.16 (18464) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), ccxcomp( X ) }.
% 2.73/3.16 (18465) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 2.73/3.16 (18466) {G0,W6,D2,L3,V1,M3} { ! ccxcomp( X ), ! alpha1( X ),
% 2.73/3.16 cUnsatisfiable( X ) }.
% 2.73/3.16 (18467) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha3( X ) }.
% 2.73/3.16 (18468) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha4( X ) }.
% 2.73/3.16 (18469) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), ! alpha4( X ), alpha1( X )
% 2.73/3.16 }.
% 2.73/3.16 (18470) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.73/3.16 (18471) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvF( X, skol1( X ) ) }.
% 2.73/3.16 (18472) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 2.73/3.16 (18473) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rinvR( X, Y ), ca_Vx3( Y )
% 2.73/3.16 }.
% 2.73/3.16 (18474) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( skol2( Y ) ), alpha3( X ) }.
% 2.73/3.16 (18475) {G0,W6,D3,L2,V1,M2} { rinvR( X, skol2( X ) ), alpha3( X ) }.
% 2.73/3.16 (18476) {G0,W5,D2,L2,V2,M2} { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.73/3.16 (18477) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol3( X ) ), cc( X ) }.
% 2.73/3.16 (18478) {G0,W6,D3,L2,V1,M2} { ! ccxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 2.73/3.16 (18479) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ccxcomp( X ) }.
% 2.73/3.16 (18480) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 2.73/3.16 (18481) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 2.73/3.16 (18482) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 2.73/3.16 (18483) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ccxcomp( skol5( Y ) ) }.
% 2.73/3.16 (18484) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol5( X ) ) }.
% 2.73/3.16 (18485) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! ccxcomp( Y ), alpha2( X )
% 2.73/3.16 }.
% 2.73/3.16 (18486) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.73/3.16 (18487) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rinvF( X, skol6( X ) ) }.
% 2.73/3.16 (18488) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), ca_Vx3( X ) }.
% 2.73/3.16 (18489) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z
% 2.73/3.16 ), Y = Z }.
% 2.73/3.16 (18490) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.16 (18491) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 2.73/3.16 (18492) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 2.73/3.16 (18493) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.73/3.16 (18494) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 2.73/3.16 (18495) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_37349 )
% 2.73/3.16 }.
% 2.73/3.16 (18496) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 2.73/3.16
% 2.73/3.16
% 2.73/3.16 Total Proof:
% 2.73/3.16
% 2.73/3.16 subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ccxcomp( Y ), ccxcomp(
% 2.73/3.16 X ) }.
% 2.73/3.16 parent0: (18444) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( Y ), ccxcomp( X
% 2.73/3.16 ) }.
% 2.73/3.16 substitution0:
% 2.73/3.16 X := X
% 2.73/3.16 Y := Y
% 2.73/3.16 end
% 2.73/3.16 permutation0:
% 2.73/3.16 0 ==> 0
% 2.73/3.16 1 ==> 1
% 2.73/3.16 2 ==> 2
% 2.73/3.16 end
% 2.73/3.16
% 2.73/3.16 subsumption: (19) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 2.73/3.16 parent0: (18460) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 2.73/3.16 substitution0:
% 2.73/3.16 X := X
% 2.73/3.16 end
% 2.73/3.16 permutation0:
% 2.73/3.16 0 ==> 0
% 2.73/3.16 end
% 2.73/3.16
% 2.73/3.16 subsumption: (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 2.73/3.16 ) }.
% 2.73/3.16 parent0: (18465) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 2.73/3.16 }.
% 2.73/3.16 substitution0:
% 2.73/3.16 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 2.73/3.17 parent0: (18467) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha3( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (27) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha4( X ) }.
% 2.73/3.17 parent0: (18468) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha4( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (29) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol1( Y ) )
% 2.73/3.17 }.
% 2.73/3.17 parent0: (18470) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol1( X
% 2.73/3.17 ) ) }.
% 2.73/3.17 parent0: (18471) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvF( X, skol1( X )
% 2.73/3.17 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (32) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvR( X, Y ),
% 2.73/3.17 ca_Vx3( Y ) }.
% 2.73/3.17 parent0: (18473) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! rinvR( X, Y ),
% 2.73/3.17 ca_Vx3( Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 2 ==> 2
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (35) {G0,W5,D2,L2,V2,M2} I { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.73/3.17 parent0: (18476) {G0,W5,D2,L2,V2,M2} { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (37) {G0,W6,D3,L2,V1,M2} I { ! ccxcomp( X ), ra_Px1( X, skol4
% 2.73/3.17 ( X ) ) }.
% 2.73/3.17 parent0: (18478) {G0,W6,D3,L2,V1,M2} { ! ccxcomp( X ), ra_Px1( X, skol4( X
% 2.73/3.17 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.73/3.17 parent0: (18480) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (40) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 2.73/3.17 parent0: (18481) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (42) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ccxcomp( skol5( Y
% 2.73/3.17 ) ) }.
% 2.73/3.17 parent0: (18483) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ccxcomp( skol5( Y )
% 2.73/3.17 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (43) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol5( X )
% 2.73/3.17 ) }.
% 2.73/3.17 parent0: (18484) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol5( X ) )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (45) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cd( skol6( Y ) )
% 2.73/3.17 }.
% 2.73/3.17 parent0: (18486) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (46) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rinvF( X, skol6( X
% 2.73/3.17 ) ) }.
% 2.73/3.17 parent0: (18487) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rinvF( X, skol6( X )
% 2.73/3.17 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18811) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y =
% 2.73/3.17 Z }.
% 2.73/3.17 parent0[0]: (18489) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y )
% 2.73/3.17 , ! rf( X, Z ), Y = Z }.
% 2.73/3.17 parent1[0]: (19) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 Z := Z
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (48) {G1,W9,D2,L3,V3,M3} I;r(19) { ! rf( X, Y ), ! rf( X, Z )
% 2.73/3.17 , Y = Z }.
% 2.73/3.17 parent0: (18811) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y = Z
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 Z := Z
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 2 ==> 2
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.17 parent0: (18490) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (52) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.73/3.17 parent0: (18493) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 parent0: (18495) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (55) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 2.73/3.17 parent0: (18496) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18895) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_37349
% 2.73/3.17 ) }.
% 2.73/3.17 parent0[0]: (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 2.73/3.17 }.
% 2.73/3.17 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 parent0: (18895) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_37349 )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18896) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_21_37349
% 2.73/3.17 ) }.
% 2.73/3.17 parent0[0]: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha3( X ) }.
% 2.73/3.17 parent1[0]: (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha3(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 parent0: (18896) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_21_37349 )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18897) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_21_37349
% 2.73/3.17 ) }.
% 2.73/3.17 parent0[0]: (27) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha4( X ) }.
% 2.73/3.17 parent1[0]: (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (63) {G2,W2,D2,L1,V0,M1} R(61,27) { alpha4(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 parent0: (18897) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_21_37349 )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18898) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! cd( X ) }.
% 2.73/3.17 parent0[0]: (35) {G0,W5,D2,L2,V2,M2} I { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.73/3.17 parent1[1]: (40) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (75) {G1,W5,D2,L2,V2,M2} R(35,40) { ! ra_Px1( X, Y ), ! cd( X
% 2.73/3.17 ) }.
% 2.73/3.17 parent0: (18898) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! cd( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18899) {G1,W5,D3,L2,V2,M2} { ccxcomp( skol5( Y ) ), ! cd( X )
% 2.73/3.17 }.
% 2.73/3.17 parent0[0]: (42) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ccxcomp( skol5( Y )
% 2.73/3.17 ) }.
% 2.73/3.17 parent1[1]: (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (91) {G1,W5,D3,L2,V2,M2} R(42,39) { ccxcomp( skol5( X ) ), !
% 2.73/3.17 cd( Y ) }.
% 2.73/3.17 parent0: (18899) {G1,W5,D3,L2,V2,M2} { ccxcomp( skol5( Y ) ), ! cd( X )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18900) {G1,W3,D3,L1,V1,M1} { cd( skol1( X ) ) }.
% 2.73/3.17 parent0[0]: (29) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol1( Y ) )
% 2.73/3.17 }.
% 2.73/3.17 parent1[0]: (63) {G2,W2,D2,L1,V0,M1} R(61,27) { alpha4(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (100) {G3,W3,D3,L1,V1,M1} R(29,63) { cd( skol1( X ) ) }.
% 2.73/3.17 parent0: (18900) {G1,W3,D3,L1,V1,M1} { cd( skol1( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18901) {G2,W3,D3,L1,V1,M1} { ccxcomp( skol5( X ) ) }.
% 2.73/3.17 parent0[1]: (91) {G1,W5,D3,L2,V2,M2} R(42,39) { ccxcomp( skol5( X ) ), ! cd
% 2.73/3.17 ( Y ) }.
% 2.73/3.17 parent1[0]: (100) {G3,W3,D3,L1,V1,M1} R(29,63) { cd( skol1( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := skol1( Y )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (104) {G4,W3,D3,L1,V1,M1} R(100,91) { ccxcomp( skol5( X ) )
% 2.73/3.17 }.
% 2.73/3.17 parent0: (18901) {G2,W3,D3,L1,V1,M1} { ccxcomp( skol5( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18902) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol1( X ), Y ) }.
% 2.73/3.17 parent0[1]: (75) {G1,W5,D2,L2,V2,M2} R(35,40) { ! ra_Px1( X, Y ), ! cd( X )
% 2.73/3.17 }.
% 2.73/3.17 parent1[0]: (100) {G3,W3,D3,L1,V1,M1} R(29,63) { cd( skol1( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := skol1( X )
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (106) {G4,W4,D3,L1,V2,M1} R(100,75) { ! ra_Px1( skol1( X ), Y
% 2.73/3.17 ) }.
% 2.73/3.17 parent0: (18902) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol1( X ), Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 eqswap: (18903) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( X ), ccxcomp( Y
% 2.73/3.17 ) }.
% 2.73/3.17 parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ccxcomp( Y ), ccxcomp( X
% 2.73/3.17 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18904) {G1,W6,D3,L2,V2,M2} { ! X = skol5( Y ), ccxcomp( X )
% 2.73/3.17 }.
% 2.73/3.17 parent0[1]: (18903) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( X ), ccxcomp
% 2.73/3.17 ( Y ) }.
% 2.73/3.17 parent1[0]: (104) {G4,W3,D3,L1,V1,M1} R(100,91) { ccxcomp( skol5( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := skol5( Y )
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 eqswap: (18905) {G1,W6,D3,L2,V2,M2} { ! skol5( Y ) = X, ccxcomp( X ) }.
% 2.73/3.17 parent0[0]: (18904) {G1,W6,D3,L2,V2,M2} { ! X = skol5( Y ), ccxcomp( X )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (109) {G5,W6,D3,L2,V2,M2} R(104,3) { ! skol5( X ) = Y, ccxcomp
% 2.73/3.17 ( Y ) }.
% 2.73/3.17 parent0: (18905) {G1,W6,D3,L2,V2,M2} { ! skol5( Y ) = X, ccxcomp( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18906) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 2.73/3.17 parent0[0]: (52) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.73/3.17 parent1[1]: (55) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (117) {G1,W6,D2,L2,V2,M2} R(52,55) { rinvR( X, Y ), ! rf( Y, X
% 2.73/3.17 ) }.
% 2.73/3.17 parent0: (18906) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18907) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y )
% 2.73/3.17 }.
% 2.73/3.17 parent0[1]: (117) {G1,W6,D2,L2,V2,M2} R(52,55) { rinvR( X, Y ), ! rf( Y, X
% 2.73/3.17 ) }.
% 2.73/3.17 parent1[1]: (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (127) {G2,W6,D2,L2,V2,M2} R(49,117) { ! rinvF( X, Y ), rinvR(
% 2.73/3.17 X, Y ) }.
% 2.73/3.17 parent0: (18907) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 1
% 2.73/3.17 1 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18908) {G1,W6,D3,L2,V1,M2} { rf( skol6( X ), X ), ! ca_Vx3( X
% 2.73/3.17 ) }.
% 2.73/3.17 parent0[0]: (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.73/3.17 parent1[1]: (46) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rinvF( X, skol6( X
% 2.73/3.17 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := skol6( X )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (166) {G1,W6,D3,L2,V1,M2} R(46,49) { ! ca_Vx3( X ), rf( skol6
% 2.73/3.17 ( X ), X ) }.
% 2.73/3.17 parent0: (18908) {G1,W6,D3,L2,V1,M2} { rf( skol6( X ), X ), ! ca_Vx3( X )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 1
% 2.73/3.17 1 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18909) {G1,W6,D3,L2,V1,M2} { rf( X, skol5( X ) ), ! cd( X )
% 2.73/3.17 }.
% 2.73/3.17 parent0[0]: (43) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol5( X ) )
% 2.73/3.17 }.
% 2.73/3.17 parent1[1]: (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (185) {G1,W6,D3,L2,V1,M2} R(43,39) { rf( X, skol5( X ) ), ! cd
% 2.73/3.17 ( X ) }.
% 2.73/3.17 parent0: (18909) {G1,W6,D3,L2,V1,M2} { rf( X, skol5( X ) ), ! cd( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18910) {G1,W3,D3,L1,V1,M1} { ! ccxcomp( skol1( X ) ) }.
% 2.73/3.17 parent0[0]: (106) {G4,W4,D3,L1,V2,M1} R(100,75) { ! ra_Px1( skol1( X ), Y )
% 2.73/3.17 }.
% 2.73/3.17 parent1[1]: (37) {G0,W6,D3,L2,V1,M2} I { ! ccxcomp( X ), ra_Px1( X, skol4(
% 2.73/3.17 X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := skol4( skol1( X ) )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := skol1( X )
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (225) {G5,W3,D3,L1,V1,M1} R(37,106) { ! ccxcomp( skol1( X ) )
% 2.73/3.17 }.
% 2.73/3.17 parent0: (18910) {G1,W3,D3,L1,V1,M1} { ! ccxcomp( skol1( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 eqswap: (18911) {G5,W6,D3,L2,V2,M2} { ! Y = skol5( X ), ccxcomp( Y ) }.
% 2.73/3.17 parent0[0]: (109) {G5,W6,D3,L2,V2,M2} R(104,3) { ! skol5( X ) = Y, ccxcomp
% 2.73/3.17 ( Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18912) {G6,W5,D3,L1,V2,M1} { ! skol1( X ) = skol5( Y ) }.
% 2.73/3.17 parent0[0]: (225) {G5,W3,D3,L1,V1,M1} R(37,106) { ! ccxcomp( skol1( X ) )
% 2.73/3.17 }.
% 2.73/3.17 parent1[1]: (18911) {G5,W6,D3,L2,V2,M2} { ! Y = skol5( X ), ccxcomp( Y )
% 2.73/3.17 }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := skol1( X )
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 eqswap: (18913) {G6,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol1( X ) }.
% 2.73/3.17 parent0[0]: (18912) {G6,W5,D3,L1,V2,M1} { ! skol1( X ) = skol5( Y ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (236) {G6,W5,D3,L1,V2,M1} R(225,109) { ! skol5( X ) = skol1( Y
% 2.73/3.17 ) }.
% 2.73/3.17 parent0: (18913) {G6,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol1( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := Y
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18914) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_21_37349,
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0[0]: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol1( X
% 2.73/3.17 ) ) }.
% 2.73/3.17 parent1[0]: (63) {G2,W2,D2,L1,V0,M1} R(61,27) { alpha4(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (266) {G3,W4,D3,L1,V0,M1} R(30,63) { rinvF(
% 2.73/3.17 i2003_11_14_17_21_37349, skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0: (18914) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_21_37349,
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18915) {G3,W4,D3,L1,V0,M1} { rinvR( i2003_11_14_17_21_37349,
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0[0]: (127) {G2,W6,D2,L2,V2,M2} R(49,117) { ! rinvF( X, Y ), rinvR( X
% 2.73/3.17 , Y ) }.
% 2.73/3.17 parent1[0]: (266) {G3,W4,D3,L1,V0,M1} R(30,63) { rinvF(
% 2.73/3.17 i2003_11_14_17_21_37349, skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 Y := skol1( i2003_11_14_17_21_37349 )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (283) {G4,W4,D3,L1,V0,M1} R(266,127) { rinvR(
% 2.73/3.17 i2003_11_14_17_21_37349, skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0: (18915) {G3,W4,D3,L1,V0,M1} { rinvR( i2003_11_14_17_21_37349,
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18916) {G1,W5,D3,L2,V0,M2} { ! alpha3(
% 2.73/3.17 i2003_11_14_17_21_37349 ), ca_Vx3( skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0[1]: (32) {G0,W7,D2,L3,V2,M3} I { ! alpha3( X ), ! rinvR( X, Y ),
% 2.73/3.17 ca_Vx3( Y ) }.
% 2.73/3.17 parent1[0]: (283) {G4,W4,D3,L1,V0,M1} R(266,127) { rinvR(
% 2.73/3.17 i2003_11_14_17_21_37349, skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := i2003_11_14_17_21_37349
% 2.73/3.17 Y := skol1( i2003_11_14_17_21_37349 )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18917) {G2,W3,D3,L1,V0,M1} { ca_Vx3( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0[0]: (18916) {G1,W5,D3,L2,V0,M2} { ! alpha3(
% 2.73/3.17 i2003_11_14_17_21_37349 ), ca_Vx3( skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent1[0]: (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha3(
% 2.73/3.17 i2003_11_14_17_21_37349 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (289) {G5,W3,D3,L1,V0,M1} R(32,283);r(62) { ca_Vx3( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0: (18917) {G2,W3,D3,L1,V0,M1} { ca_Vx3( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18918) {G2,W6,D4,L1,V0,M1} { rf( skol6( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ), skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0[0]: (166) {G1,W6,D3,L2,V1,M2} R(46,49) { ! ca_Vx3( X ), rf( skol6(
% 2.73/3.17 X ), X ) }.
% 2.73/3.17 parent1[0]: (289) {G5,W3,D3,L1,V0,M1} R(32,283);r(62) { ca_Vx3( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := skol1( i2003_11_14_17_21_37349 )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (312) {G6,W6,D4,L1,V0,M1} R(289,166) { rf( skol6( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ), skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 parent0: (18918) {G2,W6,D4,L1,V0,M1} { rf( skol6( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ), skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18919) {G1,W3,D3,L1,V1,M1} { cd( skol6( X ) ) }.
% 2.73/3.17 parent0[0]: (45) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cd( skol6( Y ) )
% 2.73/3.17 }.
% 2.73/3.17 parent1[0]: (289) {G5,W3,D3,L1,V0,M1} R(32,283);r(62) { ca_Vx3( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := skol1( i2003_11_14_17_21_37349 )
% 2.73/3.17 Y := X
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (319) {G6,W3,D3,L1,V1,M1} R(289,45) { cd( skol6( X ) ) }.
% 2.73/3.17 parent0: (18919) {G1,W3,D3,L1,V1,M1} { cd( skol6( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18920) {G2,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol5( X ) = Y, !
% 2.73/3.17 cd( X ) }.
% 2.73/3.17 parent0[0]: (48) {G1,W9,D2,L3,V3,M3} I;r(19) { ! rf( X, Y ), ! rf( X, Z ),
% 2.73/3.17 Y = Z }.
% 2.73/3.17 parent1[0]: (185) {G1,W6,D3,L2,V1,M2} R(43,39) { rf( X, skol5( X ) ), ! cd
% 2.73/3.17 ( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := skol5( X )
% 2.73/3.17 Z := Y
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := X
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (449) {G2,W9,D3,L3,V2,M3} R(48,185) { ! rf( X, Y ), skol5( X )
% 2.73/3.17 = Y, ! cd( X ) }.
% 2.73/3.17 parent0: (18920) {G2,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol5( X ) = Y, ! cd
% 2.73/3.17 ( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 1 ==> 1
% 2.73/3.17 2 ==> 2
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 eqswap: (18922) {G2,W9,D3,L3,V2,M3} { Y = skol5( X ), ! rf( X, Y ), ! cd(
% 2.73/3.17 X ) }.
% 2.73/3.17 parent0[1]: (449) {G2,W9,D3,L3,V2,M3} R(48,185) { ! rf( X, Y ), skol5( X )
% 2.73/3.17 = Y, ! cd( X ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 eqswap: (18923) {G6,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol5( X ) }.
% 2.73/3.17 parent0[0]: (236) {G6,W5,D3,L1,V2,M1} R(225,109) { ! skol5( X ) = skol1( Y
% 2.73/3.17 ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := X
% 2.73/3.17 Y := Y
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18924) {G3,W11,D5,L2,V0,M2} { skol1( i2003_11_14_17_21_37349
% 2.73/3.17 ) = skol5( skol6( skol1( i2003_11_14_17_21_37349 ) ) ), ! cd( skol6(
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.17 parent0[1]: (18922) {G2,W9,D3,L3,V2,M3} { Y = skol5( X ), ! rf( X, Y ), !
% 2.73/3.17 cd( X ) }.
% 2.73/3.17 parent1[0]: (312) {G6,W6,D4,L1,V0,M1} R(289,166) { rf( skol6( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ), skol1( i2003_11_14_17_21_37349 ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := skol6( skol1( i2003_11_14_17_21_37349 ) )
% 2.73/3.17 Y := skol1( i2003_11_14_17_21_37349 )
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18925) {G4,W4,D4,L1,V0,M1} { ! cd( skol6( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.17 parent0[0]: (18923) {G6,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol5( X ) }.
% 2.73/3.17 parent1[0]: (18924) {G3,W11,D5,L2,V0,M2} { skol1( i2003_11_14_17_21_37349
% 2.73/3.17 ) = skol5( skol6( skol1( i2003_11_14_17_21_37349 ) ) ), ! cd( skol6(
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 X := skol6( skol1( i2003_11_14_17_21_37349 ) )
% 2.73/3.17 Y := i2003_11_14_17_21_37349
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (18262) {G7,W4,D4,L1,V0,M1} R(449,312);r(236) { ! cd( skol6(
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.17 parent0: (18925) {G4,W4,D4,L1,V0,M1} { ! cd( skol6( skol1(
% 2.73/3.17 i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 0 ==> 0
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 resolution: (18926) {G7,W0,D0,L0,V0,M0} { }.
% 2.73/3.17 parent0[0]: (18262) {G7,W4,D4,L1,V0,M1} R(449,312);r(236) { ! cd( skol6(
% 2.73/3.17 skol1( i2003_11_14_17_21_37349 ) ) ) }.
% 2.73/3.17 parent1[0]: (319) {G6,W3,D3,L1,V1,M1} R(289,45) { cd( skol6( X ) ) }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 substitution1:
% 2.73/3.17 X := skol1( i2003_11_14_17_21_37349 )
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 subsumption: (18439) {G8,W0,D0,L0,V0,M0} S(18262);r(319) { }.
% 2.73/3.17 parent0: (18926) {G7,W0,D0,L0,V0,M0} { }.
% 2.73/3.17 substitution0:
% 2.73/3.17 end
% 2.73/3.17 permutation0:
% 2.73/3.17 end
% 2.73/3.17
% 2.73/3.17 Proof check complete!
% 2.73/3.17
% 2.73/3.17 Memory use:
% 2.73/3.17
% 2.73/3.17 space for terms: 242483
% 2.73/3.17 space for clauses: 701309
% 2.73/3.17
% 2.73/3.17
% 2.73/3.17 clauses generated: 79851
% 2.73/3.17 clauses kept: 18440
% 2.73/3.17 clauses selected: 1061
% 2.73/3.17 clauses deleted: 77
% 2.73/3.17 clauses inuse deleted: 36
% 2.73/3.17
% 2.73/3.17 subsentry: 499037
% 2.73/3.17 literals s-matched: 285326
% 2.73/3.17 literals matched: 254157
% 2.73/3.17 full subsumption: 118198
% 2.73/3.17
% 2.73/3.17 checksum: 1566036352
% 2.73/3.17
% 2.73/3.17
% 2.73/3.17 Bliksem ended
%------------------------------------------------------------------------------