%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS118+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 02:42:19 EDT 2022
% Result : Unsatisfiable 2.65s 3.04s
% Output : Refutation 2.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KRS118+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Tue Jun 7 06:48:35 EDT 2022
% 0.14/0.36 % CPUTime :
% 2.65/3.03 *** allocated 10000 integers for termspace/termends
% 2.65/3.03 *** allocated 10000 integers for clauses
% 2.65/3.03 *** allocated 10000 integers for justifications
% 2.65/3.03 Bliksem 1.12
% 2.65/3.03
% 2.65/3.03
% 2.65/3.03 Automatic Strategy Selection
% 2.65/3.03
% 2.65/3.03
% 2.65/3.03 Clauses:
% 2.65/3.03
% 2.65/3.03 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 2.65/3.03 { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 2.65/3.03 { ! Y = X, ! cc( Y ), cc( X ) }.
% 2.65/3.03 { ! Y = X, ! ccxcomp( Y ), ccxcomp( X ) }.
% 2.65/3.03 { ! Y = X, ! cd( Y ), cd( X ) }.
% 2.65/3.03 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 2.65/3.03 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 2.65/3.03 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 2.65/3.03 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 2.65/3.03 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 2.65/3.03 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 2.65/3.03 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 2.65/3.03 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 2.65/3.03 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 2.65/3.03 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 2.65/3.03 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 2.65/3.03 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 2.65/3.03 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 2.65/3.03 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 2.65/3.03 { cowlThing( X ) }.
% 2.65/3.03 { ! cowlNothing( X ) }.
% 2.65/3.03 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 2.65/3.03 { xsd_integer( X ), xsd_string( X ) }.
% 2.65/3.03 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 2.65/3.03 { ! cUnsatisfiable( X ), alpha3( X ) }.
% 2.65/3.03 { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable( X ) }.
% 2.65/3.03 { ! alpha3( X ), alpha4( X ) }.
% 2.65/3.03 { ! alpha3( X ), ccxcomp( X ) }.
% 2.65/3.03 { ! alpha4( X ), ! ccxcomp( X ), alpha3( X ) }.
% 2.65/3.03 { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.65/3.03 { ! alpha4( X ), rinvF( X, skol1( X ) ) }.
% 2.65/3.03 { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 2.65/3.03 { ! alpha1( X ), ! rinvR( X, Y ), ca_Vx3( Y ) }.
% 2.65/3.03 { ! ca_Vx3( skol2( Y ) ), alpha1( X ) }.
% 2.65/3.03 { rinvR( X, skol2( X ) ), alpha1( X ) }.
% 2.65/3.03 { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.65/3.03 { ra_Px1( X, skol3( X ) ), cc( X ) }.
% 2.65/3.03 { ! ccxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 2.65/3.03 { ! ra_Px1( X, Y ), ccxcomp( X ) }.
% 2.65/3.03 { ! cd( X ), alpha2( X ) }.
% 2.65/3.03 { ! cd( X ), cc( X ) }.
% 2.65/3.03 { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 2.65/3.03 { ! alpha2( X ), ccxcomp( skol5( Y ) ) }.
% 2.65/3.03 { ! alpha2( X ), rf( X, skol5( X ) ) }.
% 2.65/3.03 { ! rf( X, Y ), ! ccxcomp( Y ), alpha2( X ) }.
% 2.65/3.03 { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.65/3.03 { ! ca_Vx3( X ), rinvF( X, skol6( X ) ) }.
% 2.65/3.03 { ! rinvF( X, Y ), ! cd( Y ), ca_Vx3( X ) }.
% 2.65/3.03 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 2.65/3.03 { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.03 { ! rf( Y, X ), rinvF( X, Y ) }.
% 2.65/3.03 { ! rinvR( X, Y ), rr( Y, X ) }.
% 2.65/3.03 { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.65/3.03 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 2.65/3.03 { cUnsatisfiable( i2003_11_14_17_21_4056 ) }.
% 2.65/3.03 { ! rf( X, Y ), rr( X, Y ) }.
% 2.65/3.03
% 2.65/3.03 percentage equality = 0.145985, percentage horn = 0.946429
% 2.65/3.03 This is a problem with some equality
% 2.65/3.03
% 2.65/3.03
% 2.65/3.03
% 2.65/3.03 Options Used:
% 2.65/3.03
% 2.65/3.03 useres = 1
% 2.65/3.03 useparamod = 1
% 2.65/3.03 useeqrefl = 1
% 2.65/3.03 useeqfact = 1
% 2.65/3.03 usefactor = 1
% 2.65/3.03 usesimpsplitting = 0
% 2.65/3.03 usesimpdemod = 5
% 2.65/3.03 usesimpres = 3
% 2.65/3.03
% 2.65/3.03 resimpinuse = 1000
% 2.65/3.03 resimpclauses = 20000
% 2.65/3.03 substype = eqrewr
% 2.65/3.03 backwardsubs = 1
% 2.65/3.03 selectoldest = 5
% 2.65/3.03
% 2.65/3.03 litorderings [0] = split
% 2.65/3.03 litorderings [1] = extend the termordering, first sorting on arguments
% 2.65/3.03
% 2.65/3.03 termordering = kbo
% 2.65/3.03
% 2.65/3.03 litapriori = 0
% 2.65/3.03 termapriori = 1
% 2.65/3.03 litaposteriori = 0
% 2.65/3.03 termaposteriori = 0
% 2.65/3.03 demodaposteriori = 0
% 2.65/3.03 ordereqreflfact = 0
% 2.65/3.03
% 2.65/3.03 litselect = negord
% 2.65/3.03
% 2.65/3.03 maxweight = 15
% 2.65/3.03 maxdepth = 30000
% 2.65/3.03 maxlength = 115
% 2.65/3.03 maxnrvars = 195
% 2.65/3.03 excuselevel = 1
% 2.65/3.03 increasemaxweight = 1
% 2.65/3.03
% 2.65/3.03 maxselected = 10000000
% 2.65/3.03 maxnrclauses = 10000000
% 2.65/3.03
% 2.65/3.03 showgenerated = 0
% 2.65/3.03 showkept = 0
% 2.65/3.03 showselected = 0
% 2.65/3.03 showdeleted = 0
% 2.65/3.03 showresimp = 1
% 2.65/3.03 showstatus = 2000
% 2.65/3.03
% 2.65/3.03 prologoutput = 0
% 2.65/3.03 nrgoals = 5000000
% 2.65/3.03 totalproof = 1
% 2.65/3.03
% 2.65/3.03 Symbols occurring in the translation:
% 2.65/3.03
% 2.65/3.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.65/3.03 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 2.65/3.03 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 2.65/3.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.65/3.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.65/3.03 cUnsatisfiable [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 2.65/3.03 ca_Vx3 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.65/3.03 cc [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.65/3.03 ccxcomp [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.65/3.03 cd [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.65/3.03 cowlNothing [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.65/3.04 cowlThing [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.65/3.04 ra_Px1 [45, 2] (w:1, o:62, a:1, s:1, b:0),
% 2.65/3.04 rf [46, 2] (w:1, o:63, a:1, s:1, b:0),
% 2.65/3.04 rinvF [47, 2] (w:1, o:64, a:1, s:1, b:0),
% 2.65/3.04 rinvR [48, 2] (w:1, o:65, a:1, s:1, b:0),
% 2.65/3.04 rr [49, 2] (w:1, o:66, a:1, s:1, b:0),
% 2.65/3.04 xsd_integer [50, 1] (w:1, o:26, a:1, s:1, b:0),
% 2.65/3.04 xsd_string [51, 1] (w:1, o:27, a:1, s:1, b:0),
% 2.65/3.04 i2003_11_14_17_21_4056 [56, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.65/3.04 alpha1 [57, 1] (w:1, o:28, a:1, s:1, b:1),
% 2.65/3.04 alpha2 [58, 1] (w:1, o:29, a:1, s:1, b:1),
% 2.65/3.04 alpha3 [59, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.65/3.04 alpha4 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.65/3.04 skol1 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.65/3.04 skol2 [62, 1] (w:1, o:33, a:1, s:1, b:1),
% 2.65/3.04 skol3 [63, 1] (w:1, o:34, a:1, s:1, b:1),
% 2.65/3.04 skol4 [64, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.65/3.04 skol5 [65, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.65/3.04 skol6 [66, 1] (w:1, o:37, a:1, s:1, b:1).
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Starting Search:
% 2.65/3.04
% 2.65/3.04 *** allocated 15000 integers for clauses
% 2.65/3.04 *** allocated 22500 integers for clauses
% 2.65/3.04 *** allocated 33750 integers for clauses
% 2.65/3.04 *** allocated 50625 integers for clauses
% 2.65/3.04 *** allocated 15000 integers for termspace/termends
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 75937 integers for clauses
% 2.65/3.04 *** allocated 22500 integers for termspace/termends
% 2.65/3.04 *** allocated 113905 integers for clauses
% 2.65/3.04 *** allocated 33750 integers for termspace/termends
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 7059
% 2.65/3.04 Kept: 2007
% 2.65/3.04 Inuse: 309
% 2.65/3.04 Deleted: 29
% 2.65/3.04 Deletedinuse: 8
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 50625 integers for termspace/termends
% 2.65/3.04 *** allocated 170857 integers for clauses
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 16538
% 2.65/3.04 Kept: 4010
% 2.65/3.04 Inuse: 466
% 2.65/3.04 Deleted: 30
% 2.65/3.04 Deletedinuse: 8
% 2.65/3.04
% 2.65/3.04 *** allocated 75937 integers for termspace/termends
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 256285 integers for clauses
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 113905 integers for termspace/termends
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 24431
% 2.65/3.04 Kept: 6012
% 2.65/3.04 Inuse: 586
% 2.65/3.04 Deleted: 32
% 2.65/3.04 Deletedinuse: 8
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 384427 integers for clauses
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 35240
% 2.65/3.04 Kept: 8013
% 2.65/3.04 Inuse: 715
% 2.65/3.04 Deleted: 43
% 2.65/3.04 Deletedinuse: 16
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 170857 integers for termspace/termends
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 576640 integers for clauses
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 43926
% 2.65/3.04 Kept: 10081
% 2.65/3.04 Inuse: 791
% 2.65/3.04 Deleted: 46
% 2.65/3.04 Deletedinuse: 16
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 52750
% 2.65/3.04 Kept: 12094
% 2.65/3.04 Inuse: 854
% 2.65/3.04 Deleted: 50
% 2.65/3.04 Deletedinuse: 16
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 256285 integers for termspace/termends
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 61547
% 2.65/3.04 Kept: 14100
% 2.65/3.04 Inuse: 928
% 2.65/3.04 Deleted: 50
% 2.65/3.04 Deletedinuse: 16
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04 *** allocated 864960 integers for clauses
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Intermediate Status:
% 2.65/3.04 Generated: 70927
% 2.65/3.04 Kept: 16106
% 2.65/3.04 Inuse: 1001
% 2.65/3.04 Deleted: 51
% 2.65/3.04 Deletedinuse: 16
% 2.65/3.04
% 2.65/3.04 Resimplifying inuse:
% 2.65/3.04 Done
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Bliksems!, er is een bewijs:
% 2.65/3.04 % SZS status Unsatisfiable
% 2.65/3.04 % SZS output start Refutation
% 2.65/3.04
% 2.65/3.04 (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ccxcomp( Y ), ccxcomp( X ) }.
% 2.65/3.04 (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 2.65/3.04 (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X ) }.
% 2.65/3.04 (26) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 2.65/3.04 (29) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.65/3.04 (30) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol1( X ) ) }.
% 2.65/3.04 (32) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ), ca_Vx3( Y )
% 2.65/3.04 }.
% 2.65/3.04 (35) {G0,W5,D2,L2,V2,M2} I { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.65/3.04 (37) {G0,W6,D3,L2,V1,M2} I { ! ccxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 2.65/3.04 (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.65/3.04 (40) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 2.65/3.04 (42) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ccxcomp( skol5( Y ) ) }.
% 2.65/3.04 (43) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol5( X ) ) }.
% 2.65/3.04 (45) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.65/3.04 (46) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rinvF( X, skol6( X ) ) }.
% 2.65/3.04 (48) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 2.65/3.04 (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.04 (52) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.65/3.04 (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 (55) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 2.65/3.04 (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha3( i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha4( i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 (70) {G1,W2,D2,L1,V0,M1} R(23,54) { alpha1( i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 (76) {G1,W5,D2,L2,V2,M2} R(35,40) { ! ra_Px1( X, Y ), ! cd( X ) }.
% 2.65/3.04 (92) {G1,W5,D3,L2,V2,M2} R(42,39) { ccxcomp( skol5( X ) ), ! cd( Y ) }.
% 2.65/3.04 (101) {G3,W3,D3,L1,V1,M1} R(29,62) { cd( skol1( X ) ) }.
% 2.65/3.04 (105) {G4,W3,D3,L1,V1,M1} R(101,92) { ccxcomp( skol5( X ) ) }.
% 2.65/3.04 (107) {G4,W4,D3,L1,V2,M1} R(101,76) { ! ra_Px1( skol1( X ), Y ) }.
% 2.65/3.04 (110) {G5,W6,D3,L2,V2,M2} R(105,3) { ! skol5( X ) = Y, ccxcomp( Y ) }.
% 2.65/3.04 (118) {G1,W6,D2,L2,V2,M2} R(52,55) { rinvR( X, Y ), ! rf( Y, X ) }.
% 2.65/3.04 (128) {G2,W6,D2,L2,V2,M2} R(49,118) { ! rinvF( X, Y ), rinvR( X, Y ) }.
% 2.65/3.04 (166) {G1,W6,D3,L2,V1,M2} R(46,49) { ! ca_Vx3( X ), rf( skol6( X ), X ) }.
% 2.65/3.04 (185) {G1,W6,D3,L2,V1,M2} R(43,39) { rf( X, skol5( X ) ), ! cd( X ) }.
% 2.65/3.04 (225) {G5,W3,D3,L1,V1,M1} R(37,107) { ! ccxcomp( skol1( X ) ) }.
% 2.65/3.04 (237) {G6,W5,D3,L1,V2,M1} R(225,110) { ! skol5( X ) = skol1( Y ) }.
% 2.65/3.04 (263) {G3,W4,D3,L1,V0,M1} R(30,62) { rinvF( i2003_11_14_17_21_4056, skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 (314) {G4,W4,D3,L1,V0,M1} R(263,128) { rinvR( i2003_11_14_17_21_4056, skol1
% 2.65/3.04 ( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 (318) {G5,W3,D3,L1,V0,M1} R(314,32);r(70) { ca_Vx3( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 (321) {G6,W6,D4,L1,V0,M1} R(318,166) { rf( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ), skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 (328) {G6,W3,D3,L1,V1,M1} R(318,45) { cd( skol6( X ) ) }.
% 2.65/3.04 (430) {G2,W9,D3,L3,V2,M3} R(48,185) { ! rf( X, Y ), skol5( X ) = Y, ! cd( X
% 2.65/3.04 ) }.
% 2.65/3.04 (16969) {G7,W4,D4,L1,V0,M1} R(430,321);r(237) { ! cd( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 (17135) {G8,W0,D0,L0,V0,M0} S(16969);r(328) { }.
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 % SZS output end Refutation
% 2.65/3.04 found a proof!
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Unprocessed initial clauses:
% 2.65/3.04
% 2.65/3.04 (17137) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 2.65/3.04 cUnsatisfiable( X ) }.
% 2.65/3.04 (17138) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx3( Y ), ca_Vx3( X ) }.
% 2.65/3.04 (17139) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc( Y ), cc( X ) }.
% 2.65/3.04 (17140) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( Y ), ccxcomp( X ) }.
% 2.65/3.04 (17141) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( Y ), cd( X ) }.
% 2.65/3.04 (17142) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X
% 2.65/3.04 ) }.
% 2.65/3.04 (17143) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X )
% 2.65/3.04 }.
% 2.65/3.04 (17144) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y )
% 2.65/3.04 }.
% 2.65/3.04 (17145) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X )
% 2.65/3.04 }.
% 2.65/3.04 (17146) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 2.65/3.04 (17147) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 2.65/3.04 (17148) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 2.65/3.04 (17149) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 2.65/3.04 (17150) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 2.65/3.04 (17151) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 2.65/3.04 (17152) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 2.65/3.04 (17153) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 2.65/3.04 (17154) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X
% 2.65/3.04 ) }.
% 2.65/3.04 (17155) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 2.65/3.04 }.
% 2.65/3.04 (17156) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 2.65/3.04 (17157) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 2.65/3.04 (17158) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 2.65/3.04 (17159) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 2.65/3.04 (17160) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 2.65/3.04 (17161) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X ) }.
% 2.65/3.04 (17162) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable
% 2.65/3.04 ( X ) }.
% 2.65/3.04 (17163) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 2.65/3.04 (17164) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), ccxcomp( X ) }.
% 2.65/3.04 (17165) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! ccxcomp( X ), alpha3( X )
% 2.65/3.04 }.
% 2.65/3.04 (17166) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.65/3.04 (17167) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvF( X, skol1( X ) ) }.
% 2.65/3.04 (17168) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 2.65/3.04 (17169) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! rinvR( X, Y ), ca_Vx3( Y )
% 2.65/3.04 }.
% 2.65/3.04 (17170) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( skol2( Y ) ), alpha1( X ) }.
% 2.65/3.04 (17171) {G0,W6,D3,L2,V1,M2} { rinvR( X, skol2( X ) ), alpha1( X ) }.
% 2.65/3.04 (17172) {G0,W5,D2,L2,V2,M2} { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.65/3.04 (17173) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol3( X ) ), cc( X ) }.
% 2.65/3.04 (17174) {G0,W6,D3,L2,V1,M2} { ! ccxcomp( X ), ra_Px1( X, skol4( X ) ) }.
% 2.65/3.04 (17175) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ccxcomp( X ) }.
% 2.65/3.04 (17176) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 2.65/3.04 (17177) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 2.65/3.04 (17178) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 2.65/3.04 (17179) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ccxcomp( skol5( Y ) ) }.
% 2.65/3.04 (17180) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol5( X ) ) }.
% 2.65/3.04 (17181) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! ccxcomp( Y ), alpha2( X )
% 2.65/3.04 }.
% 2.65/3.04 (17182) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.65/3.04 (17183) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rinvF( X, skol6( X ) ) }.
% 2.65/3.04 (17184) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), ca_Vx3( X ) }.
% 2.65/3.04 (17185) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 2.65/3.04 (17186) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.04 (17187) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 2.65/3.04 (17188) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 2.65/3.04 (17189) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.65/3.04 (17190) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 2.65/3.04 (17191) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 (17192) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Total Proof:
% 2.65/3.04
% 2.65/3.04 subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ccxcomp( Y ), ccxcomp(
% 2.65/3.04 X ) }.
% 2.65/3.04 parent0: (17140) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( Y ), ccxcomp( X
% 2.65/3.04 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 2 ==> 2
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17160) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17161) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 2.65/3.04 parent0: (17163) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (29) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol1( Y ) )
% 2.65/3.04 }.
% 2.65/3.04 parent0: (17166) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cd( skol1( Y ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol1( X
% 2.65/3.04 ) ) }.
% 2.65/3.04 parent0: (17167) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvF( X, skol1( X )
% 2.65/3.04 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (32) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ),
% 2.65/3.04 ca_Vx3( Y ) }.
% 2.65/3.04 parent0: (17169) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! rinvR( X, Y ),
% 2.65/3.04 ca_Vx3( Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 2 ==> 2
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (35) {G0,W5,D2,L2,V2,M2} I { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.65/3.04 parent0: (17172) {G0,W5,D2,L2,V2,M2} { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (37) {G0,W6,D3,L2,V1,M2} I { ! ccxcomp( X ), ra_Px1( X, skol4
% 2.65/3.04 ( X ) ) }.
% 2.65/3.04 parent0: (17174) {G0,W6,D3,L2,V1,M2} { ! ccxcomp( X ), ra_Px1( X, skol4( X
% 2.65/3.04 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.65/3.04 parent0: (17176) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (40) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 2.65/3.04 parent0: (17177) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (42) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ccxcomp( skol5( Y
% 2.65/3.04 ) ) }.
% 2.65/3.04 parent0: (17179) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ccxcomp( skol5( Y )
% 2.65/3.04 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (43) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol5( X )
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17180) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol5( X ) )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (45) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cd( skol6( Y ) )
% 2.65/3.04 }.
% 2.65/3.04 parent0: (17182) {G0,W5,D3,L2,V2,M2} { ! ca_Vx3( X ), cd( skol6( Y ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (46) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rinvF( X, skol6( X
% 2.65/3.04 ) ) }.
% 2.65/3.04 parent0: (17183) {G0,W6,D3,L2,V1,M2} { ! ca_Vx3( X ), rinvF( X, skol6( X )
% 2.65/3.04 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (48) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 2.65/3.04 }.
% 2.65/3.04 parent0: (17185) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 Z := Z
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 2 ==> 2
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.04 parent0: (17186) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (52) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.65/3.04 parent0: (17189) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 parent0: (17191) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (55) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 2.65/3.04 parent0: (17192) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17565) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_21_4056 )
% 2.65/3.04 }.
% 2.65/3.04 parent0[0]: (24) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X )
% 2.65/3.04 }.
% 2.65/3.04 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha3(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 parent0: (17565) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_21_4056 )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17566) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_21_4056 )
% 2.65/3.04 }.
% 2.65/3.04 parent0[0]: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 2.65/3.04 parent1[0]: (61) {G1,W2,D2,L1,V0,M1} R(24,54) { alpha3(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha4(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 parent0: (17566) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_21_4056 )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17567) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_4056 )
% 2.65/3.04 }.
% 2.65/3.04 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 2.65/3.04 }.
% 2.65/3.04 parent1[0]: (54) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (70) {G1,W2,D2,L1,V0,M1} R(23,54) { alpha1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 parent0: (17567) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_4056 )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17568) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! cd( X ) }.
% 2.65/3.04 parent0[0]: (35) {G0,W5,D2,L2,V2,M2} I { ! cc( X ), ! ra_Px1( X, Y ) }.
% 2.65/3.04 parent1[1]: (40) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (76) {G1,W5,D2,L2,V2,M2} R(35,40) { ! ra_Px1( X, Y ), ! cd( X
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17568) {G1,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), ! cd( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17569) {G1,W5,D3,L2,V2,M2} { ccxcomp( skol5( Y ) ), ! cd( X )
% 2.65/3.04 }.
% 2.65/3.04 parent0[0]: (42) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ccxcomp( skol5( Y )
% 2.65/3.04 ) }.
% 2.65/3.04 parent1[1]: (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (92) {G1,W5,D3,L2,V2,M2} R(42,39) { ccxcomp( skol5( X ) ), !
% 2.65/3.04 cd( Y ) }.
% 2.65/3.04 parent0: (17569) {G1,W5,D3,L2,V2,M2} { ccxcomp( skol5( Y ) ), ! cd( X )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17570) {G1,W3,D3,L1,V1,M1} { cd( skol1( X ) ) }.
% 2.65/3.04 parent0[0]: (29) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol1( Y ) )
% 2.65/3.04 }.
% 2.65/3.04 parent1[0]: (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha4(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (101) {G3,W3,D3,L1,V1,M1} R(29,62) { cd( skol1( X ) ) }.
% 2.65/3.04 parent0: (17570) {G1,W3,D3,L1,V1,M1} { cd( skol1( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17571) {G2,W3,D3,L1,V1,M1} { ccxcomp( skol5( X ) ) }.
% 2.65/3.04 parent0[1]: (92) {G1,W5,D3,L2,V2,M2} R(42,39) { ccxcomp( skol5( X ) ), ! cd
% 2.65/3.04 ( Y ) }.
% 2.65/3.04 parent1[0]: (101) {G3,W3,D3,L1,V1,M1} R(29,62) { cd( skol1( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := skol1( Y )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (105) {G4,W3,D3,L1,V1,M1} R(101,92) { ccxcomp( skol5( X ) )
% 2.65/3.04 }.
% 2.65/3.04 parent0: (17571) {G2,W3,D3,L1,V1,M1} { ccxcomp( skol5( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17572) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol1( X ), Y ) }.
% 2.65/3.04 parent0[1]: (76) {G1,W5,D2,L2,V2,M2} R(35,40) { ! ra_Px1( X, Y ), ! cd( X )
% 2.65/3.04 }.
% 2.65/3.04 parent1[0]: (101) {G3,W3,D3,L1,V1,M1} R(29,62) { cd( skol1( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol1( X )
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (107) {G4,W4,D3,L1,V2,M1} R(101,76) { ! ra_Px1( skol1( X ), Y
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17572) {G2,W4,D3,L1,V2,M1} { ! ra_Px1( skol1( X ), Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 eqswap: (17573) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( X ), ccxcomp( Y
% 2.65/3.04 ) }.
% 2.65/3.04 parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ccxcomp( Y ), ccxcomp( X
% 2.65/3.04 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17574) {G1,W6,D3,L2,V2,M2} { ! X = skol5( Y ), ccxcomp( X )
% 2.65/3.04 }.
% 2.65/3.04 parent0[1]: (17573) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ccxcomp( X ), ccxcomp
% 2.65/3.04 ( Y ) }.
% 2.65/3.04 parent1[0]: (105) {G4,W3,D3,L1,V1,M1} R(101,92) { ccxcomp( skol5( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol5( Y )
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 eqswap: (17575) {G1,W6,D3,L2,V2,M2} { ! skol5( Y ) = X, ccxcomp( X ) }.
% 2.65/3.04 parent0[0]: (17574) {G1,W6,D3,L2,V2,M2} { ! X = skol5( Y ), ccxcomp( X )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (110) {G5,W6,D3,L2,V2,M2} R(105,3) { ! skol5( X ) = Y, ccxcomp
% 2.65/3.04 ( Y ) }.
% 2.65/3.04 parent0: (17575) {G1,W6,D3,L2,V2,M2} { ! skol5( Y ) = X, ccxcomp( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17576) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 2.65/3.04 parent0[0]: (52) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 2.65/3.04 parent1[1]: (55) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (118) {G1,W6,D2,L2,V2,M2} R(52,55) { rinvR( X, Y ), ! rf( Y, X
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17576) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17577) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y )
% 2.65/3.04 }.
% 2.65/3.04 parent0[1]: (118) {G1,W6,D2,L2,V2,M2} R(52,55) { rinvR( X, Y ), ! rf( Y, X
% 2.65/3.04 ) }.
% 2.65/3.04 parent1[1]: (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (128) {G2,W6,D2,L2,V2,M2} R(49,118) { ! rinvF( X, Y ), rinvR(
% 2.65/3.04 X, Y ) }.
% 2.65/3.04 parent0: (17577) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 1
% 2.65/3.04 1 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17578) {G1,W6,D3,L2,V1,M2} { rf( skol6( X ), X ), ! ca_Vx3( X
% 2.65/3.04 ) }.
% 2.65/3.04 parent0[0]: (49) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 2.65/3.04 parent1[1]: (46) {G0,W6,D3,L2,V1,M2} I { ! ca_Vx3( X ), rinvF( X, skol6( X
% 2.65/3.04 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := skol6( X )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (166) {G1,W6,D3,L2,V1,M2} R(46,49) { ! ca_Vx3( X ), rf( skol6
% 2.65/3.04 ( X ), X ) }.
% 2.65/3.04 parent0: (17578) {G1,W6,D3,L2,V1,M2} { rf( skol6( X ), X ), ! ca_Vx3( X )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 1
% 2.65/3.04 1 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17579) {G1,W6,D3,L2,V1,M2} { rf( X, skol5( X ) ), ! cd( X )
% 2.65/3.04 }.
% 2.65/3.04 parent0[0]: (43) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol5( X ) )
% 2.65/3.04 }.
% 2.65/3.04 parent1[1]: (39) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (185) {G1,W6,D3,L2,V1,M2} R(43,39) { rf( X, skol5( X ) ), ! cd
% 2.65/3.04 ( X ) }.
% 2.65/3.04 parent0: (17579) {G1,W6,D3,L2,V1,M2} { rf( X, skol5( X ) ), ! cd( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17580) {G1,W3,D3,L1,V1,M1} { ! ccxcomp( skol1( X ) ) }.
% 2.65/3.04 parent0[0]: (107) {G4,W4,D3,L1,V2,M1} R(101,76) { ! ra_Px1( skol1( X ), Y )
% 2.65/3.04 }.
% 2.65/3.04 parent1[1]: (37) {G0,W6,D3,L2,V1,M2} I { ! ccxcomp( X ), ra_Px1( X, skol4(
% 2.65/3.04 X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := skol4( skol1( X ) )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := skol1( X )
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (225) {G5,W3,D3,L1,V1,M1} R(37,107) { ! ccxcomp( skol1( X ) )
% 2.65/3.04 }.
% 2.65/3.04 parent0: (17580) {G1,W3,D3,L1,V1,M1} { ! ccxcomp( skol1( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 eqswap: (17581) {G5,W6,D3,L2,V2,M2} { ! Y = skol5( X ), ccxcomp( Y ) }.
% 2.65/3.04 parent0[0]: (110) {G5,W6,D3,L2,V2,M2} R(105,3) { ! skol5( X ) = Y, ccxcomp
% 2.65/3.04 ( Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17582) {G6,W5,D3,L1,V2,M1} { ! skol1( X ) = skol5( Y ) }.
% 2.65/3.04 parent0[0]: (225) {G5,W3,D3,L1,V1,M1} R(37,107) { ! ccxcomp( skol1( X ) )
% 2.65/3.04 }.
% 2.65/3.04 parent1[1]: (17581) {G5,W6,D3,L2,V2,M2} { ! Y = skol5( X ), ccxcomp( Y )
% 2.65/3.04 }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := skol1( X )
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 eqswap: (17583) {G6,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol1( X ) }.
% 2.65/3.04 parent0[0]: (17582) {G6,W5,D3,L1,V2,M1} { ! skol1( X ) = skol5( Y ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (237) {G6,W5,D3,L1,V2,M1} R(225,110) { ! skol5( X ) = skol1( Y
% 2.65/3.04 ) }.
% 2.65/3.04 parent0: (17583) {G6,W5,D3,L1,V2,M1} { ! skol5( Y ) = skol1( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := Y
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17584) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_21_4056,
% 2.65/3.04 skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0[0]: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol1( X
% 2.65/3.04 ) ) }.
% 2.65/3.04 parent1[0]: (62) {G2,W2,D2,L1,V0,M1} R(61,26) { alpha4(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (263) {G3,W4,D3,L1,V0,M1} R(30,62) { rinvF(
% 2.65/3.04 i2003_11_14_17_21_4056, skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0: (17584) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_21_4056,
% 2.65/3.04 skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17585) {G3,W4,D3,L1,V0,M1} { rinvR( i2003_11_14_17_21_4056,
% 2.65/3.04 skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0[0]: (128) {G2,W6,D2,L2,V2,M2} R(49,118) { ! rinvF( X, Y ), rinvR( X
% 2.65/3.04 , Y ) }.
% 2.65/3.04 parent1[0]: (263) {G3,W4,D3,L1,V0,M1} R(30,62) { rinvF(
% 2.65/3.04 i2003_11_14_17_21_4056, skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 Y := skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (314) {G4,W4,D3,L1,V0,M1} R(263,128) { rinvR(
% 2.65/3.04 i2003_11_14_17_21_4056, skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0: (17585) {G3,W4,D3,L1,V0,M1} { rinvR( i2003_11_14_17_21_4056,
% 2.65/3.04 skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17586) {G1,W5,D3,L2,V0,M2} { ! alpha1( i2003_11_14_17_21_4056
% 2.65/3.04 ), ca_Vx3( skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0[1]: (32) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ),
% 2.65/3.04 ca_Vx3( Y ) }.
% 2.65/3.04 parent1[0]: (314) {G4,W4,D3,L1,V0,M1} R(263,128) { rinvR(
% 2.65/3.04 i2003_11_14_17_21_4056, skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := i2003_11_14_17_21_4056
% 2.65/3.04 Y := skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17587) {G2,W3,D3,L1,V0,M1} { ca_Vx3( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0[0]: (17586) {G1,W5,D3,L2,V0,M2} { ! alpha1( i2003_11_14_17_21_4056
% 2.65/3.04 ), ca_Vx3( skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent1[0]: (70) {G1,W2,D2,L1,V0,M1} R(23,54) { alpha1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (318) {G5,W3,D3,L1,V0,M1} R(314,32);r(70) { ca_Vx3( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0: (17587) {G2,W3,D3,L1,V0,M1} { ca_Vx3( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17588) {G2,W6,D4,L1,V0,M1} { rf( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ), skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0[0]: (166) {G1,W6,D3,L2,V1,M2} R(46,49) { ! ca_Vx3( X ), rf( skol6(
% 2.65/3.04 X ), X ) }.
% 2.65/3.04 parent1[0]: (318) {G5,W3,D3,L1,V0,M1} R(314,32);r(70) { ca_Vx3( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (321) {G6,W6,D4,L1,V0,M1} R(318,166) { rf( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ), skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 parent0: (17588) {G2,W6,D4,L1,V0,M1} { rf( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ), skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17589) {G1,W3,D3,L1,V1,M1} { cd( skol6( X ) ) }.
% 2.65/3.04 parent0[0]: (45) {G0,W5,D3,L2,V2,M2} I { ! ca_Vx3( X ), cd( skol6( Y ) )
% 2.65/3.04 }.
% 2.65/3.04 parent1[0]: (318) {G5,W3,D3,L1,V0,M1} R(314,32);r(70) { ca_Vx3( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 Y := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (328) {G6,W3,D3,L1,V1,M1} R(318,45) { cd( skol6( X ) ) }.
% 2.65/3.04 parent0: (17589) {G1,W3,D3,L1,V1,M1} { cd( skol6( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17590) {G1,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol5( X ) = Y, !
% 2.65/3.04 cd( X ) }.
% 2.65/3.04 parent0[0]: (48) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 2.65/3.04 }.
% 2.65/3.04 parent1[0]: (185) {G1,W6,D3,L2,V1,M2} R(43,39) { rf( X, skol5( X ) ), ! cd
% 2.65/3.04 ( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol5( X )
% 2.65/3.04 Y := Y
% 2.65/3.04 Z := X
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := X
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (430) {G2,W9,D3,L3,V2,M3} R(48,185) { ! rf( X, Y ), skol5( X )
% 2.65/3.04 = Y, ! cd( X ) }.
% 2.65/3.04 parent0: (17590) {G1,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol5( X ) = Y, ! cd
% 2.65/3.04 ( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 1 ==> 1
% 2.65/3.04 2 ==> 2
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 eqswap: (17592) {G2,W9,D3,L3,V2,M3} { Y = skol5( X ), ! rf( X, Y ), ! cd(
% 2.65/3.04 X ) }.
% 2.65/3.04 parent0[1]: (430) {G2,W9,D3,L3,V2,M3} R(48,185) { ! rf( X, Y ), skol5( X )
% 2.65/3.04 = Y, ! cd( X ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 eqswap: (17593) {G6,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol5( X ) }.
% 2.65/3.04 parent0[0]: (237) {G6,W5,D3,L1,V2,M1} R(225,110) { ! skol5( X ) = skol1( Y
% 2.65/3.04 ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := X
% 2.65/3.04 Y := Y
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17594) {G3,W11,D5,L2,V0,M2} { skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 = skol5( skol6( skol1( i2003_11_14_17_21_4056 ) ) ), ! cd( skol6( skol1
% 2.65/3.04 ( i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 parent0[1]: (17592) {G2,W9,D3,L3,V2,M3} { Y = skol5( X ), ! rf( X, Y ), !
% 2.65/3.04 cd( X ) }.
% 2.65/3.04 parent1[0]: (321) {G6,W6,D4,L1,V0,M1} R(318,166) { rf( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ), skol1( i2003_11_14_17_21_4056 ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol6( skol1( i2003_11_14_17_21_4056 ) )
% 2.65/3.04 Y := skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17595) {G4,W4,D4,L1,V0,M1} { ! cd( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 parent0[0]: (17593) {G6,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol5( X ) }.
% 2.65/3.04 parent1[0]: (17594) {G3,W11,D5,L2,V0,M2} { skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 = skol5( skol6( skol1( i2003_11_14_17_21_4056 ) ) ), ! cd( skol6( skol1
% 2.65/3.04 ( i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 X := skol6( skol1( i2003_11_14_17_21_4056 ) )
% 2.65/3.04 Y := i2003_11_14_17_21_4056
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (16969) {G7,W4,D4,L1,V0,M1} R(430,321);r(237) { ! cd( skol6(
% 2.65/3.04 skol1( i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 parent0: (17595) {G4,W4,D4,L1,V0,M1} { ! cd( skol6( skol1(
% 2.65/3.04 i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 0 ==> 0
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 resolution: (17596) {G7,W0,D0,L0,V0,M0} { }.
% 2.65/3.04 parent0[0]: (16969) {G7,W4,D4,L1,V0,M1} R(430,321);r(237) { ! cd( skol6(
% 2.65/3.04 skol1( i2003_11_14_17_21_4056 ) ) ) }.
% 2.65/3.04 parent1[0]: (328) {G6,W3,D3,L1,V1,M1} R(318,45) { cd( skol6( X ) ) }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 substitution1:
% 2.65/3.04 X := skol1( i2003_11_14_17_21_4056 )
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 subsumption: (17135) {G8,W0,D0,L0,V0,M0} S(16969);r(328) { }.
% 2.65/3.04 parent0: (17596) {G7,W0,D0,L0,V0,M0} { }.
% 2.65/3.04 substitution0:
% 2.65/3.04 end
% 2.65/3.04 permutation0:
% 2.65/3.04 end
% 2.65/3.04
% 2.65/3.04 Proof check complete!
% 2.65/3.04
% 2.65/3.04 Memory use:
% 2.65/3.04
% 2.65/3.04 space for terms: 226819
% 2.65/3.04 space for clauses: 656854
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 clauses generated: 75468
% 2.65/3.04 clauses kept: 17136
% 2.65/3.04 clauses selected: 1026
% 2.65/3.04 clauses deleted: 52
% 2.65/3.04 clauses inuse deleted: 16
% 2.65/3.04
% 2.65/3.04 subsentry: 476608
% 2.65/3.04 literals s-matched: 270048
% 2.65/3.04 literals matched: 240130
% 2.65/3.04 full subsumption: 112830
% 2.65/3.04
% 2.65/3.04 checksum: 37139311
% 2.65/3.04
% 2.65/3.04
% 2.65/3.04 Bliksem ended
%------------------------------------------------------------------------------