TSTP Solution File: KRS113+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:42:18 EDT 2022
% Result : Unsatisfiable 0.40s 1.08s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 11:01:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.08 *** allocated 10000 integers for termspace/termends
% 0.40/1.08 *** allocated 10000 integers for clauses
% 0.40/1.08 *** allocated 10000 integers for justifications
% 0.40/1.08 Bliksem 1.12
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 Automatic Strategy Selection
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 Clauses:
% 0.40/1.08
% 0.40/1.08 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.40/1.08 { ! Y = X, ! ca_Vx2( Y ), ca_Vx2( X ) }.
% 0.40/1.08 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.40/1.08 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.40/1.08 { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.40/1.08 { ! Y = X, ! cpxcomp( Y ), cpxcomp( X ) }.
% 0.40/1.08 { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.40/1.08 { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.40/1.08 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.40/1.08 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.40/1.08 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.40/1.08 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.40/1.08 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.40/1.08 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.40/1.08 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.40/1.08 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.40/1.08 { cowlThing( X ) }.
% 0.40/1.08 { ! cowlNothing( X ) }.
% 0.40/1.08 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.40/1.08 { xsd_integer( X ), xsd_string( X ) }.
% 0.40/1.08 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.40/1.08 { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.40/1.08 { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.40/1.08 { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 { ! alpha4( X ), ! alpha5( X ), alpha2( X ) }.
% 0.40/1.08 { ! alpha5( X ), alpha6( X ) }.
% 0.40/1.08 { ! alpha5( X ), cpxcomp( X ) }.
% 0.40/1.08 { ! alpha6( X ), ! cpxcomp( X ), alpha5( X ) }.
% 0.40/1.08 { ! alpha6( X ), cp( skol1( Y ) ) }.
% 0.40/1.08 { ! alpha6( X ), rs( X, skol1( X ) ) }.
% 0.40/1.08 { ! rs( X, Y ), ! cp( Y ), alpha6( X ) }.
% 0.40/1.08 { ! alpha4( X ), ca_Vx2( skol2( Y ) ) }.
% 0.40/1.08 { ! alpha4( X ), rr( X, skol2( X ) ) }.
% 0.40/1.08 { ! rr( X, Y ), ! ca_Vx2( Y ), alpha4( X ) }.
% 0.40/1.08 { ! alpha1( X ), ! alpha3( X, Y, Z ), Y = Z }.
% 0.40/1.08 { alpha3( X, skol3( X ), skol7( X ) ), alpha1( X ) }.
% 0.40/1.08 { ! skol3( X ) = skol7( X ), alpha1( X ) }.
% 0.40/1.08 { ! alpha3( X, Y, Z ), rr( X, Y ) }.
% 0.40/1.08 { ! alpha3( X, Y, Z ), rr( X, Z ) }.
% 0.40/1.08 { ! rr( X, Y ), ! rr( X, Z ), alpha3( X, Y, Z ) }.
% 0.40/1.08 { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.40/1.08 { ra_Px1( X, skol4( X ) ), cp( X ) }.
% 0.40/1.08 { ! cpxcomp( X ), ra_Px1( X, skol5( X ) ) }.
% 0.40/1.08 { ! ra_Px1( X, Y ), cpxcomp( X ) }.
% 0.40/1.08 { ! ca_Vx2( X ), ! rinvS( X, Y ), cp( Y ) }.
% 0.40/1.08 { ! cp( skol6( Y ) ), ca_Vx2( X ) }.
% 0.40/1.08 { rinvS( X, skol6( X ) ), ca_Vx2( X ) }.
% 0.40/1.08 { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.40/1.08 { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.40/1.08 { cUnsatisfiable( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 { ! rs( X, Y ), rr( X, Y ) }.
% 0.40/1.08
% 0.40/1.08 percentage equality = 0.144000, percentage horn = 0.923077
% 0.40/1.08 This is a problem with some equality
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 Options Used:
% 0.40/1.08
% 0.40/1.08 useres = 1
% 0.40/1.08 useparamod = 1
% 0.40/1.08 useeqrefl = 1
% 0.40/1.08 useeqfact = 1
% 0.40/1.08 usefactor = 1
% 0.40/1.08 usesimpsplitting = 0
% 0.40/1.08 usesimpdemod = 5
% 0.40/1.08 usesimpres = 3
% 0.40/1.08
% 0.40/1.08 resimpinuse = 1000
% 0.40/1.08 resimpclauses = 20000
% 0.40/1.08 substype = eqrewr
% 0.40/1.08 backwardsubs = 1
% 0.40/1.08 selectoldest = 5
% 0.40/1.08
% 0.40/1.08 litorderings [0] = split
% 0.40/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.40/1.08
% 0.40/1.08 termordering = kbo
% 0.40/1.08
% 0.40/1.08 litapriori = 0
% 0.40/1.08 termapriori = 1
% 0.40/1.08 litaposteriori = 0
% 0.40/1.08 termaposteriori = 0
% 0.40/1.08 demodaposteriori = 0
% 0.40/1.08 ordereqreflfact = 0
% 0.40/1.08
% 0.40/1.08 litselect = negord
% 0.40/1.08
% 0.40/1.08 maxweight = 15
% 0.40/1.08 maxdepth = 30000
% 0.40/1.08 maxlength = 115
% 0.40/1.08 maxnrvars = 195
% 0.40/1.08 excuselevel = 1
% 0.40/1.08 increasemaxweight = 1
% 0.40/1.08
% 0.40/1.08 maxselected = 10000000
% 0.40/1.08 maxnrclauses = 10000000
% 0.40/1.08
% 0.40/1.08 showgenerated = 0
% 0.40/1.08 showkept = 0
% 0.40/1.08 showselected = 0
% 0.40/1.08 showdeleted = 0
% 0.40/1.08 showresimp = 1
% 0.40/1.08 showstatus = 2000
% 0.40/1.08
% 0.40/1.08 prologoutput = 0
% 0.40/1.08 nrgoals = 5000000
% 0.40/1.08 totalproof = 1
% 0.40/1.08
% 0.40/1.08 Symbols occurring in the translation:
% 0.40/1.08
% 0.40/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.40/1.08 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.40/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.40/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.08 cUnsatisfiable [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.40/1.08 ca_Vx2 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.40/1.08 cowlNothing [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.40/1.08 cowlThing [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.40/1.08 cp [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.40/1.08 cpxcomp [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.40/1.08 ra_Px1 [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.40/1.08 rinvS [45, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.40/1.08 rr [46, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.40/1.08 rs [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.40/1.08 xsd_integer [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.40/1.08 xsd_string [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.40/1.08 i2003_11_14_17_21_22376 [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.40/1.08 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.40/1.08 alpha2 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.40/1.08 alpha3 [57, 3] (w:1, o:67, a:1, s:1, b:1),
% 0.40/1.08 alpha4 [58, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.40/1.08 alpha5 [59, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.40/1.08 alpha6 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.40/1.08 skol1 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.40/1.08 skol2 [62, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.40/1.08 skol3 [63, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.40/1.08 skol4 [64, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.40/1.08 skol5 [65, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.40/1.08 skol6 [66, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.40/1.08 skol7 [67, 1] (w:1, o:38, a:1, s:1, b:1).
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 Starting Search:
% 0.40/1.08
% 0.40/1.08 *** allocated 15000 integers for clauses
% 0.40/1.08 *** allocated 22500 integers for clauses
% 0.40/1.08 *** allocated 33750 integers for clauses
% 0.40/1.08 *** allocated 50625 integers for clauses
% 0.40/1.08 *** allocated 15000 integers for termspace/termends
% 0.40/1.08 *** allocated 75937 integers for clauses
% 0.40/1.08 Resimplifying inuse:
% 0.40/1.08 Done
% 0.40/1.08
% 0.40/1.08 *** allocated 22500 integers for termspace/termends
% 0.40/1.08
% 0.40/1.08 Bliksems!, er is een bewijs:
% 0.40/1.08 % SZS status Unsatisfiable
% 0.40/1.08 % SZS output start Refutation
% 0.40/1.08
% 0.40/1.08 (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ca_Vx2( Y ), ca_Vx2( X ) }.
% 0.40/1.08 (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.40/1.08 (21) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.40/1.08 (23) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 (24) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 (26) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha6( X ) }.
% 0.40/1.08 (27) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), cpxcomp( X ) }.
% 0.40/1.08 (30) {G0,W6,D3,L2,V1,M2} I { ! alpha6( X ), rs( X, skol1( X ) ) }.
% 0.40/1.08 (32) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), ca_Vx2( skol2( Y ) ) }.
% 0.40/1.08 (33) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol2( X ) ) }.
% 0.40/1.08 (35) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X ), ! alpha3( X, Y, Z ), Y = Z }.
% 0.40/1.08 (40) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ), alpha3( X, Y, Z )
% 0.40/1.08 }.
% 0.40/1.08 (41) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.40/1.08 (43) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol5( X ) ) }.
% 0.40/1.08 (45) {G0,W7,D2,L3,V2,M3} I { ! ca_Vx2( X ), ! rinvS( X, Y ), cp( Y ) }.
% 0.40/1.08 (49) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.40/1.08 (50) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (51) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rr( X, Y ) }.
% 0.40/1.08 (55) {G1,W4,D2,L2,V1,M2} R(24,26) { ! alpha2( X ), alpha6( X ) }.
% 0.40/1.08 (56) {G1,W4,D2,L2,V1,M2} R(24,27) { ! alpha2( X ), cpxcomp( X ) }.
% 0.40/1.08 (63) {G1,W2,D2,L1,V0,M1} R(21,50) { alpha2( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (64) {G2,W2,D2,L1,V0,M1} R(63,23) { alpha4( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (65) {G2,W2,D2,L1,V0,M1} R(63,56) { cpxcomp( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (66) {G2,W2,D2,L1,V0,M1} R(63,55) { alpha6( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (73) {G1,W2,D2,L1,V0,M1} R(20,50) { alpha1( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (95) {G3,W3,D3,L1,V1,M1} R(32,64) { ca_Vx2( skol2( X ) ) }.
% 0.40/1.08 (97) {G4,W6,D3,L2,V2,M2} R(95,1) { ! skol2( X ) = Y, ca_Vx2( Y ) }.
% 0.40/1.08 (147) {G1,W4,D2,L2,V1,M2} R(43,41) { ! cpxcomp( X ), ! cp( X ) }.
% 0.40/1.08 (166) {G3,W2,D2,L1,V0,M1} R(147,65) { ! cp( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (188) {G3,W4,D3,L1,V0,M1} R(30,66) { rs( i2003_11_14_17_21_22376, skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 (193) {G4,W4,D3,L1,V0,M1} R(188,49) { rinvS( skol1( i2003_11_14_17_21_22376
% 0.40/1.08 ), i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (194) {G4,W4,D3,L1,V0,M1} R(188,51) { rr( i2003_11_14_17_21_22376, skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 (223) {G1,W6,D3,L2,V1,M2} R(33,23) { rr( X, skol2( X ) ), ! alpha2( X ) }.
% 0.40/1.08 (296) {G2,W7,D2,L2,V2,M2} R(35,73) { ! alpha3( i2003_11_14_17_21_22376, X,
% 0.40/1.08 Y ), X = Y }.
% 0.40/1.08 (600) {G5,W3,D3,L1,V0,M1} R(45,193);r(166) { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 (622) {G6,W5,D3,L1,V1,M1} R(600,97) { ! skol2( X ) = skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (983) {G7,W6,D3,L1,V1,M1} R(296,622) { ! alpha3( i2003_11_14_17_21_22376,
% 0.40/1.08 skol2( X ), skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 (1327) {G8,W4,D3,L1,V1,M1} R(983,40);r(194) { ! rr( i2003_11_14_17_21_22376
% 0.40/1.08 , skol2( X ) ) }.
% 0.40/1.08 (1330) {G9,W0,D0,L0,V0,M0} R(1327,223);r(63) { }.
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 % SZS output end Refutation
% 0.40/1.08 found a proof!
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 Unprocessed initial clauses:
% 0.40/1.08
% 0.40/1.08 (1332) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 0.40/1.08 cUnsatisfiable( X ) }.
% 0.40/1.08 (1333) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx2( Y ), ca_Vx2( X ) }.
% 0.40/1.08 (1334) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.40/1.08 }.
% 0.40/1.08 (1335) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.40/1.08 (1336) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.40/1.08 (1337) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cpxcomp( Y ), cpxcomp( X ) }.
% 0.40/1.08 (1338) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Z, Y ), ra_Px1( X, Y ) }.
% 0.40/1.08 (1339) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! ra_Px1( Y, Z ), ra_Px1( Y, X ) }.
% 0.40/1.08 (1340) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.40/1.08 (1341) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.40/1.08 (1342) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.40/1.08 (1343) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.40/1.08 (1344) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.40/1.08 (1345) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.40/1.08 (1346) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.40/1.08 }.
% 0.40/1.08 (1347) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.40/1.08 }.
% 0.40/1.08 (1348) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.40/1.08 (1349) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.40/1.08 (1350) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.40/1.08 (1351) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.40/1.08 (1352) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.40/1.08 (1353) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.40/1.08 (1354) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable
% 0.40/1.08 ( X ) }.
% 0.40/1.08 (1355) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 (1356) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 (1357) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! alpha5( X ), alpha2( X ) }.
% 0.40/1.08 (1358) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 0.40/1.08 (1359) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), cpxcomp( X ) }.
% 0.40/1.08 (1360) {G0,W6,D2,L3,V1,M3} { ! alpha6( X ), ! cpxcomp( X ), alpha5( X )
% 0.40/1.08 }.
% 0.40/1.08 (1361) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), cp( skol1( Y ) ) }.
% 0.40/1.08 (1362) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), rs( X, skol1( X ) ) }.
% 0.40/1.08 (1363) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! cp( Y ), alpha6( X ) }.
% 0.40/1.08 (1364) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), ca_Vx2( skol2( Y ) ) }.
% 0.40/1.08 (1365) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rr( X, skol2( X ) ) }.
% 0.40/1.08 (1366) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! ca_Vx2( Y ), alpha4( X ) }.
% 0.40/1.08 (1367) {G0,W9,D2,L3,V3,M3} { ! alpha1( X ), ! alpha3( X, Y, Z ), Y = Z }.
% 0.40/1.08 (1368) {G0,W8,D3,L2,V1,M2} { alpha3( X, skol3( X ), skol7( X ) ), alpha1(
% 0.40/1.08 X ) }.
% 0.40/1.08 (1369) {G0,W7,D3,L2,V1,M2} { ! skol3( X ) = skol7( X ), alpha1( X ) }.
% 0.40/1.08 (1370) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), rr( X, Y ) }.
% 0.40/1.08 (1371) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), rr( X, Z ) }.
% 0.40/1.08 (1372) {G0,W10,D2,L3,V3,M3} { ! rr( X, Y ), ! rr( X, Z ), alpha3( X, Y, Z
% 0.40/1.08 ) }.
% 0.40/1.08 (1373) {G0,W5,D2,L2,V2,M2} { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.40/1.08 (1374) {G0,W6,D3,L2,V1,M2} { ra_Px1( X, skol4( X ) ), cp( X ) }.
% 0.40/1.08 (1375) {G0,W6,D3,L2,V1,M2} { ! cpxcomp( X ), ra_Px1( X, skol5( X ) ) }.
% 0.40/1.08 (1376) {G0,W5,D2,L2,V2,M2} { ! ra_Px1( X, Y ), cpxcomp( X ) }.
% 0.40/1.08 (1377) {G0,W7,D2,L3,V2,M3} { ! ca_Vx2( X ), ! rinvS( X, Y ), cp( Y ) }.
% 0.40/1.08 (1378) {G0,W5,D3,L2,V2,M2} { ! cp( skol6( Y ) ), ca_Vx2( X ) }.
% 0.40/1.08 (1379) {G0,W6,D3,L2,V1,M2} { rinvS( X, skol6( X ) ), ca_Vx2( X ) }.
% 0.40/1.08 (1380) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.40/1.08 (1381) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.40/1.08 (1382) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 (1383) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rr( X, Y ) }.
% 0.40/1.08
% 0.40/1.08
% 0.40/1.08 Total Proof:
% 0.40/1.08
% 0.40/1.08 subsumption: (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ca_Vx2( Y ), ca_Vx2( X
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1333) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx2( Y ), ca_Vx2( X )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 2 ==> 2
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1352) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (21) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1353) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 parent0: (1355) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (24) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 parent0: (1356) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha6( X ) }.
% 0.40/1.08 parent0: (1358) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (27) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), cpxcomp( X ) }.
% 0.40/1.08 parent0: (1359) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), cpxcomp( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha6( X ), rs( X, skol1( X )
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1362) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), rs( X, skol1( X ) )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (32) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), ca_Vx2( skol2( Y )
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1364) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), ca_Vx2( skol2( Y ) )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (33) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol2( X )
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1365) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rr( X, skol2( X ) )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (35) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X ), ! alpha3( X, Y, Z
% 0.40/1.08 ), Y = Z }.
% 0.40/1.08 parent0: (1367) {G0,W9,D2,L3,V3,M3} { ! alpha1( X ), ! alpha3( X, Y, Z ),
% 0.40/1.08 Y = Z }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 Z := Z
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 2 ==> 2
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (40) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ),
% 0.40/1.08 alpha3( X, Y, Z ) }.
% 0.40/1.08 parent0: (1372) {G0,W10,D2,L3,V3,M3} { ! rr( X, Y ), ! rr( X, Z ), alpha3
% 0.40/1.08 ( X, Y, Z ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 Z := Z
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 2 ==> 2
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (41) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.40/1.08 parent0: (1373) {G0,W5,D2,L2,V2,M2} { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (43) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol5
% 0.40/1.08 ( X ) ) }.
% 0.40/1.08 parent0: (1375) {G0,W6,D3,L2,V1,M2} { ! cpxcomp( X ), ra_Px1( X, skol5( X
% 0.40/1.08 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (45) {G0,W7,D2,L3,V2,M3} I { ! ca_Vx2( X ), ! rinvS( X, Y ),
% 0.40/1.08 cp( Y ) }.
% 0.40/1.08 parent0: (1377) {G0,W7,D2,L3,V2,M3} { ! ca_Vx2( X ), ! rinvS( X, Y ), cp(
% 0.40/1.08 Y ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 2 ==> 2
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (49) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.40/1.08 parent0: (1381) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1382) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (51) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rr( X, Y ) }.
% 0.40/1.08 parent0: (1383) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rr( X, Y ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1680) {G1,W4,D2,L2,V1,M2} { alpha6( X ), ! alpha2( X ) }.
% 0.40/1.08 parent0[0]: (26) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha6( X ) }.
% 0.40/1.08 parent1[1]: (24) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (55) {G1,W4,D2,L2,V1,M2} R(24,26) { ! alpha2( X ), alpha6( X )
% 0.40/1.08 }.
% 0.40/1.08 parent0: (1680) {G1,W4,D2,L2,V1,M2} { alpha6( X ), ! alpha2( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 1
% 0.40/1.08 1 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1681) {G1,W4,D2,L2,V1,M2} { cpxcomp( X ), ! alpha2( X ) }.
% 0.40/1.08 parent0[0]: (27) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), cpxcomp( X ) }.
% 0.40/1.08 parent1[1]: (24) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (56) {G1,W4,D2,L2,V1,M2} R(24,27) { ! alpha2( X ), cpxcomp( X
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1681) {G1,W4,D2,L2,V1,M2} { cpxcomp( X ), ! alpha2( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 1
% 0.40/1.08 1 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1682) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 parent0[0]: (21) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.40/1.08 }.
% 0.40/1.08 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (63) {G1,W2,D2,L1,V0,M1} R(21,50) { alpha2(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1682) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1683) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 parent1[0]: (63) {G1,W2,D2,L1,V0,M1} R(21,50) { alpha2(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (64) {G2,W2,D2,L1,V0,M1} R(63,23) { alpha4(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1683) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1684) {G2,W2,D2,L1,V0,M1} { cpxcomp( i2003_11_14_17_21_22376
% 0.40/1.08 ) }.
% 0.40/1.08 parent0[0]: (56) {G1,W4,D2,L2,V1,M2} R(24,27) { ! alpha2( X ), cpxcomp( X )
% 0.40/1.08 }.
% 0.40/1.08 parent1[0]: (63) {G1,W2,D2,L1,V0,M1} R(21,50) { alpha2(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (65) {G2,W2,D2,L1,V0,M1} R(63,56) { cpxcomp(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1684) {G2,W2,D2,L1,V0,M1} { cpxcomp( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1685) {G2,W2,D2,L1,V0,M1} { alpha6( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 parent0[0]: (55) {G1,W4,D2,L2,V1,M2} R(24,26) { ! alpha2( X ), alpha6( X )
% 0.40/1.08 }.
% 0.40/1.08 parent1[0]: (63) {G1,W2,D2,L1,V0,M1} R(21,50) { alpha2(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (66) {G2,W2,D2,L1,V0,M1} R(63,55) { alpha6(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1685) {G2,W2,D2,L1,V0,M1} { alpha6( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1686) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.40/1.08 }.
% 0.40/1.08 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (73) {G1,W2,D2,L1,V0,M1} R(20,50) { alpha1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1686) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1687) {G1,W3,D3,L1,V1,M1} { ca_Vx2( skol2( X ) ) }.
% 0.40/1.08 parent0[0]: (32) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), ca_Vx2( skol2( Y )
% 0.40/1.08 ) }.
% 0.40/1.08 parent1[0]: (64) {G2,W2,D2,L1,V0,M1} R(63,23) { alpha4(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 Y := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (95) {G3,W3,D3,L1,V1,M1} R(32,64) { ca_Vx2( skol2( X ) ) }.
% 0.40/1.08 parent0: (1687) {G1,W3,D3,L1,V1,M1} { ca_Vx2( skol2( X ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1688) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx2( X ), ca_Vx2( Y )
% 0.40/1.08 }.
% 0.40/1.08 parent0[0]: (1) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! ca_Vx2( Y ), ca_Vx2( X )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := Y
% 0.40/1.08 Y := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1689) {G1,W6,D3,L2,V2,M2} { ! X = skol2( Y ), ca_Vx2( X ) }.
% 0.40/1.08 parent0[1]: (1688) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! ca_Vx2( X ), ca_Vx2( Y
% 0.40/1.08 ) }.
% 0.40/1.08 parent1[0]: (95) {G3,W3,D3,L1,V1,M1} R(32,64) { ca_Vx2( skol2( X ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := skol2( Y )
% 0.40/1.08 Y := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := Y
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1690) {G1,W6,D3,L2,V2,M2} { ! skol2( Y ) = X, ca_Vx2( X ) }.
% 0.40/1.08 parent0[0]: (1689) {G1,W6,D3,L2,V2,M2} { ! X = skol2( Y ), ca_Vx2( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (97) {G4,W6,D3,L2,V2,M2} R(95,1) { ! skol2( X ) = Y, ca_Vx2( Y
% 0.40/1.08 ) }.
% 0.40/1.08 parent0: (1690) {G1,W6,D3,L2,V2,M2} { ! skol2( Y ) = X, ca_Vx2( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := Y
% 0.40/1.08 Y := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1691) {G1,W4,D2,L2,V1,M2} { ! cp( X ), ! cpxcomp( X ) }.
% 0.40/1.08 parent0[1]: (41) {G0,W5,D2,L2,V2,M2} I { ! cp( X ), ! ra_Px1( X, Y ) }.
% 0.40/1.08 parent1[1]: (43) {G0,W6,D3,L2,V1,M2} I { ! cpxcomp( X ), ra_Px1( X, skol5(
% 0.40/1.08 X ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := skol5( X )
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (147) {G1,W4,D2,L2,V1,M2} R(43,41) { ! cpxcomp( X ), ! cp( X )
% 0.40/1.08 }.
% 0.40/1.08 parent0: (1691) {G1,W4,D2,L2,V1,M2} { ! cp( X ), ! cpxcomp( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 1
% 0.40/1.08 1 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1692) {G2,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_21_22376 )
% 0.40/1.08 }.
% 0.40/1.08 parent0[0]: (147) {G1,W4,D2,L2,V1,M2} R(43,41) { ! cpxcomp( X ), ! cp( X )
% 0.40/1.08 }.
% 0.40/1.08 parent1[0]: (65) {G2,W2,D2,L1,V0,M1} R(63,56) { cpxcomp(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (166) {G3,W2,D2,L1,V0,M1} R(147,65) { ! cp(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1692) {G2,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1693) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_21_22376,
% 0.40/1.08 skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0[0]: (30) {G0,W6,D3,L2,V1,M2} I { ! alpha6( X ), rs( X, skol1( X ) )
% 0.40/1.08 }.
% 0.40/1.08 parent1[0]: (66) {G2,W2,D2,L1,V0,M1} R(63,55) { alpha6(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (188) {G3,W4,D3,L1,V0,M1} R(30,66) { rs(
% 0.40/1.08 i2003_11_14_17_21_22376, skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0: (1693) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_21_22376, skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1694) {G1,W4,D3,L1,V0,M1} { rinvS( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ), i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0[0]: (49) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.40/1.08 parent1[0]: (188) {G3,W4,D3,L1,V0,M1} R(30,66) { rs(
% 0.40/1.08 i2003_11_14_17_21_22376, skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := skol1( i2003_11_14_17_21_22376 )
% 0.40/1.08 Y := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (193) {G4,W4,D3,L1,V0,M1} R(188,49) { rinvS( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ), i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1694) {G1,W4,D3,L1,V0,M1} { rinvS( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ), i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1695) {G1,W4,D3,L1,V0,M1} { rr( i2003_11_14_17_21_22376,
% 0.40/1.08 skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0[0]: (51) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rr( X, Y ) }.
% 0.40/1.08 parent1[0]: (188) {G3,W4,D3,L1,V0,M1} R(30,66) { rs(
% 0.40/1.08 i2003_11_14_17_21_22376, skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 Y := skol1( i2003_11_14_17_21_22376 )
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (194) {G4,W4,D3,L1,V0,M1} R(188,51) { rr(
% 0.40/1.08 i2003_11_14_17_21_22376, skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0: (1695) {G1,W4,D3,L1,V0,M1} { rr( i2003_11_14_17_21_22376, skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1696) {G1,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), ! alpha2( X
% 0.40/1.08 ) }.
% 0.40/1.08 parent0[0]: (33) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol2( X ) )
% 0.40/1.08 }.
% 0.40/1.08 parent1[1]: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (223) {G1,W6,D3,L2,V1,M2} R(33,23) { rr( X, skol2( X ) ), !
% 0.40/1.08 alpha2( X ) }.
% 0.40/1.08 parent0: (1696) {G1,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), ! alpha2( X )
% 0.40/1.08 }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 1 ==> 1
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1697) {G0,W9,D2,L3,V3,M3} { Y = X, ! alpha1( Z ), ! alpha3( Z, X
% 0.40/1.08 , Y ) }.
% 0.40/1.08 parent0[2]: (35) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X ), ! alpha3( X, Y, Z )
% 0.40/1.08 , Y = Z }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := Z
% 0.40/1.08 Y := X
% 0.40/1.08 Z := Y
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1698) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, Y, X ) }.
% 0.40/1.08 parent0[1]: (1697) {G0,W9,D2,L3,V3,M3} { Y = X, ! alpha1( Z ), ! alpha3( Z
% 0.40/1.08 , X, Y ) }.
% 0.40/1.08 parent1[0]: (73) {G1,W2,D2,L1,V0,M1} R(20,50) { alpha1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := Y
% 0.40/1.08 Y := X
% 0.40/1.08 Z := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1699) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, Y, X ) }.
% 0.40/1.08 parent0[0]: (1698) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, Y, X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (296) {G2,W7,D2,L2,V2,M2} R(35,73) { ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, X, Y ), X = Y }.
% 0.40/1.08 parent0: (1699) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, Y, X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := Y
% 0.40/1.08 Y := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 1
% 0.40/1.08 1 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1700) {G1,W5,D3,L2,V0,M2} { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ), cp( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0[1]: (45) {G0,W7,D2,L3,V2,M3} I { ! ca_Vx2( X ), ! rinvS( X, Y ), cp
% 0.40/1.08 ( Y ) }.
% 0.40/1.08 parent1[0]: (193) {G4,W4,D3,L1,V0,M1} R(188,49) { rinvS( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ), i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := skol1( i2003_11_14_17_21_22376 )
% 0.40/1.08 Y := i2003_11_14_17_21_22376
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1701) {G2,W3,D3,L1,V0,M1} { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0[0]: (166) {G3,W2,D2,L1,V0,M1} R(147,65) { ! cp(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent1[1]: (1700) {G1,W5,D3,L2,V0,M2} { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ), cp( i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (600) {G5,W3,D3,L1,V0,M1} R(45,193);r(166) { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0: (1701) {G2,W3,D3,L1,V0,M1} { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1702) {G4,W6,D3,L2,V2,M2} { ! Y = skol2( X ), ca_Vx2( Y ) }.
% 0.40/1.08 parent0[0]: (97) {G4,W6,D3,L2,V2,M2} R(95,1) { ! skol2( X ) = Y, ca_Vx2( Y
% 0.40/1.08 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1703) {G5,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_21_22376
% 0.40/1.08 ) = skol2( X ) }.
% 0.40/1.08 parent0[0]: (600) {G5,W3,D3,L1,V0,M1} R(45,193);r(166) { ! ca_Vx2( skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent1[1]: (1702) {G4,W6,D3,L2,V2,M2} { ! Y = skol2( X ), ca_Vx2( Y ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := X
% 0.40/1.08 Y := skol1( i2003_11_14_17_21_22376 )
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1704) {G5,W5,D3,L1,V1,M1} { ! skol2( X ) = skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0[0]: (1703) {G5,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_21_22376
% 0.40/1.08 ) = skol2( X ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (622) {G6,W5,D3,L1,V1,M1} R(600,97) { ! skol2( X ) = skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 parent0: (1704) {G5,W5,D3,L1,V1,M1} { ! skol2( X ) = skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1705) {G2,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, X, Y ) }.
% 0.40/1.08 parent0[1]: (296) {G2,W7,D2,L2,V2,M2} R(35,73) { ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, X, Y ), X = Y }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 Y := Y
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 eqswap: (1706) {G6,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_21_22376 ) =
% 0.40/1.08 skol2( X ) }.
% 0.40/1.08 parent0[0]: (622) {G6,W5,D3,L1,V1,M1} R(600,97) { ! skol2( X ) = skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1707) {G3,W6,D3,L1,V1,M1} { ! alpha3( i2003_11_14_17_21_22376
% 0.40/1.08 , skol2( X ), skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0[0]: (1706) {G6,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_21_22376
% 0.40/1.08 ) = skol2( X ) }.
% 0.40/1.08 parent1[0]: (1705) {G2,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, X, Y ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := skol2( X )
% 0.40/1.08 Y := skol1( i2003_11_14_17_21_22376 )
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (983) {G7,W6,D3,L1,V1,M1} R(296,622) { ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, skol2( X ), skol1( i2003_11_14_17_21_22376 ) )
% 0.40/1.08 }.
% 0.40/1.08 parent0: (1707) {G3,W6,D3,L1,V1,M1} { ! alpha3( i2003_11_14_17_21_22376,
% 0.40/1.08 skol2( X ), skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1708) {G1,W8,D3,L2,V1,M2} { ! rr( i2003_11_14_17_21_22376,
% 0.40/1.08 skol2( X ) ), ! rr( i2003_11_14_17_21_22376, skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent0[0]: (983) {G7,W6,D3,L1,V1,M1} R(296,622) { ! alpha3(
% 0.40/1.08 i2003_11_14_17_21_22376, skol2( X ), skol1( i2003_11_14_17_21_22376 ) )
% 0.40/1.08 }.
% 0.40/1.08 parent1[2]: (40) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ),
% 0.40/1.08 alpha3( X, Y, Z ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 X := i2003_11_14_17_21_22376
% 0.40/1.08 Y := skol2( X )
% 0.40/1.08 Z := skol1( i2003_11_14_17_21_22376 )
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1709) {G2,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_21_22376,
% 0.40/1.08 skol2( X ) ) }.
% 0.40/1.08 parent0[1]: (1708) {G1,W8,D3,L2,V1,M2} { ! rr( i2003_11_14_17_21_22376,
% 0.40/1.08 skol2( X ) ), ! rr( i2003_11_14_17_21_22376, skol1(
% 0.40/1.08 i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 parent1[0]: (194) {G4,W4,D3,L1,V0,M1} R(188,51) { rr(
% 0.40/1.08 i2003_11_14_17_21_22376, skol1( i2003_11_14_17_21_22376 ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 substitution1:
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 subsumption: (1327) {G8,W4,D3,L1,V1,M1} R(983,40);r(194) { ! rr(
% 0.40/1.08 i2003_11_14_17_21_22376, skol2( X ) ) }.
% 0.40/1.08 parent0: (1709) {G2,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_21_22376, skol2
% 0.40/1.08 ( X ) ) }.
% 0.40/1.08 substitution0:
% 0.40/1.08 X := X
% 0.40/1.08 end
% 0.40/1.08 permutation0:
% 0.40/1.08 0 ==> 0
% 0.40/1.08 end
% 0.40/1.08
% 0.40/1.08 resolution: (1710) {G2,W2,D2,L1,V0,M1} { ! alpha2( i2003_11_14_17_21_22376
% 0.40/1.09 ) }.
% 0.40/1.09 parent0[0]: (1327) {G8,W4,D3,L1,V1,M1} R(983,40);r(194) { ! rr(
% 0.40/1.09 i2003_11_14_17_21_22376, skol2( X ) ) }.
% 0.40/1.09 parent1[0]: (223) {G1,W6,D3,L2,V1,M2} R(33,23) { rr( X, skol2( X ) ), !
% 0.40/1.09 alpha2( X ) }.
% 0.40/1.09 substitution0:
% 0.40/1.09 X := i2003_11_14_17_21_22376
% 0.40/1.09 end
% 0.40/1.09 substitution1:
% 0.40/1.09 X := i2003_11_14_17_21_22376
% 0.40/1.09 end
% 0.40/1.09
% 0.40/1.09 resolution: (1711) {G2,W0,D0,L0,V0,M0} { }.
% 0.40/1.09 parent0[0]: (1710) {G2,W2,D2,L1,V0,M1} { ! alpha2( i2003_11_14_17_21_22376
% 0.40/1.09 ) }.
% 0.40/1.09 parent1[0]: (63) {G1,W2,D2,L1,V0,M1} R(21,50) { alpha2(
% 0.40/1.09 i2003_11_14_17_21_22376 ) }.
% 0.40/1.09 substitution0:
% 0.40/1.09 end
% 0.40/1.09 substitution1:
% 0.40/1.09 end
% 0.40/1.09
% 0.40/1.09 subsumption: (1330) {G9,W0,D0,L0,V0,M0} R(1327,223);r(63) { }.
% 0.40/1.09 parent0: (1711) {G2,W0,D0,L0,V0,M0} { }.
% 0.40/1.09 substitution0:
% 0.40/1.09 end
% 0.40/1.09 permutation0:
% 0.40/1.09 end
% 0.40/1.09
% 0.40/1.09 Proof check complete!
% 0.40/1.09
% 0.40/1.09 Memory use:
% 0.40/1.09
% 0.40/1.09 space for terms: 15750
% 0.40/1.09 space for clauses: 54705
% 0.40/1.09
% 0.40/1.09
% 0.40/1.09 clauses generated: 3239
% 0.40/1.09 clauses kept: 1331
% 0.40/1.09 clauses selected: 211
% 0.40/1.09 clauses deleted: 11
% 0.40/1.09 clauses inuse deleted: 4
% 0.40/1.09
% 0.40/1.09 subsentry: 6313
% 0.40/1.09 literals s-matched: 5428
% 0.40/1.09 literals matched: 5374
% 0.40/1.09 full subsumption: 1212
% 0.40/1.09
% 0.40/1.09 checksum: 1540928937
% 0.40/1.09
% 0.40/1.09
% 0.40/1.09 Bliksem ended
%------------------------------------------------------------------------------