TSTP Solution File: KRS077+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS077+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:42:09 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS077+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 13:16:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.72/1.12 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.72/1.12 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.12 { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.72/1.12 { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.72/1.12 { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.72/1.12 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.12 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.72/1.12 { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.72/1.12 { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.72/1.12 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.72/1.12 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.72/1.12 { cowlThing( X ) }.
% 0.72/1.12 { ! cowlNothing( X ) }.
% 0.72/1.12 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.12 { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.12 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.12 { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.72/1.12 { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable( X ) }.
% 0.72/1.12 { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 { ! alpha4( X ), ! alpha5( X ), alpha2( X ) }.
% 0.72/1.12 { ! alpha5( X ), ! cp( X ) }.
% 0.72/1.12 { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 { cp( X ), ! alpha7( X ), alpha5( X ) }.
% 0.72/1.12 { ! alpha7( X ), cp( skol1( Y ) ) }.
% 0.72/1.12 { ! alpha7( X ), rs( X, skol1( X ) ) }.
% 0.72/1.12 { ! rs( X, Y ), ! cp( Y ), alpha7( X ) }.
% 0.72/1.12 { ! alpha4( X ), alpha6( skol2( Y ) ) }.
% 0.72/1.12 { ! alpha4( X ), rr( X, skol2( X ) ) }.
% 0.72/1.12 { ! rr( X, Y ), ! alpha6( Y ), alpha4( X ) }.
% 0.72/1.12 { ! alpha6( X ), ! rinvS( X, Y ), cp( Y ) }.
% 0.72/1.12 { ! cp( skol3( Y ) ), alpha6( X ) }.
% 0.72/1.12 { rinvS( X, skol3( X ) ), alpha6( X ) }.
% 0.72/1.12 { ! alpha1( X ), ! alpha3( X, Y, Z ), Y = Z }.
% 0.72/1.12 { alpha3( X, skol4( X ), skol5( X ) ), alpha1( X ) }.
% 0.72/1.12 { ! skol4( X ) = skol5( X ), alpha1( X ) }.
% 0.72/1.12 { ! alpha3( X, Y, Z ), rr( X, Y ) }.
% 0.72/1.12 { ! alpha3( X, Y, Z ), rr( X, Z ) }.
% 0.72/1.12 { ! rr( X, Y ), ! rr( X, Z ), alpha3( X, Y, Z ) }.
% 0.72/1.12 { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.72/1.12 { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.72/1.12 { cUnsatisfiable( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 { ! rs( X, Y ), rr( X, Y ) }.
% 0.72/1.12
% 0.72/1.12 percentage equality = 0.133333, percentage horn = 0.909091
% 0.72/1.12 This is a problem with some equality
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 0
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 cUnsatisfiable [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.12 cowlNothing [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.12 cowlThing [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.12 cp [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.12 rinvS [42, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.12 rr [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.12 rs [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.12 xsd_integer [45, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.12 xsd_string [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.12 i2003_11_14_17_19_09372 [52, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.12 alpha1 [53, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.72/1.12 alpha2 [54, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.72/1.12 alpha3 [55, 3] (w:1, o:64, a:1, s:1, b:1),
% 0.72/1.12 alpha4 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.72/1.12 alpha5 [57, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.72/1.12 alpha6 [58, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.72/1.12 alpha7 [59, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.72/1.12 skol1 [60, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.72/1.12 skol2 [61, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.72/1.12 skol3 [62, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.72/1.12 skol4 [63, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.72/1.12 skol5 [64, 1] (w:1, o:36, a:1, s:1, b:1).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for clauses
% 0.72/1.12 *** allocated 22500 integers for clauses
% 0.72/1.12 *** allocated 33750 integers for clauses
% 0.72/1.12 *** allocated 50625 integers for clauses
% 0.72/1.12 *** allocated 15000 integers for termspace/termends
% 0.72/1.12 Resimplifying inuse:
% 0.72/1.12 Done
% 0.72/1.12
% 0.72/1.12 *** allocated 22500 integers for termspace/termends
% 0.72/1.12 *** allocated 75937 integers for clauses
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 (9) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.72/1.12 (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.12 (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.72/1.12 (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 (22) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), ! cp( X ) }.
% 0.72/1.12 (23) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 (26) {G0,W6,D3,L2,V1,M2} I { ! alpha7( X ), rs( X, skol1( X ) ) }.
% 0.72/1.12 (28) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), alpha6( skol2( Y ) ) }.
% 0.72/1.12 (29) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol2( X ) ) }.
% 0.72/1.12 (31) {G0,W7,D2,L3,V2,M3} I { ! alpha6( X ), ! rinvS( X, Y ), cp( Y ) }.
% 0.72/1.12 (34) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X ), ! alpha3( X, Y, Z ), Y = Z }.
% 0.72/1.12 (39) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ), alpha3( X, Y, Z )
% 0.72/1.12 }.
% 0.72/1.12 (41) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.72/1.12 (42) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (43) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rr( X, Y ) }.
% 0.72/1.12 (47) {G1,W4,D2,L2,V1,M2} R(20,22) { ! alpha2( X ), ! cp( X ) }.
% 0.72/1.12 (48) {G1,W4,D2,L2,V1,M2} R(20,23) { ! alpha2( X ), alpha7( X ) }.
% 0.72/1.12 (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (55) {G2,W2,D2,L1,V0,M1} R(54,19) { alpha4( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (56) {G2,W2,D2,L1,V0,M1} R(54,48) { alpha7( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (57) {G2,W2,D2,L1,V0,M1} R(54,47) { ! cp( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (58) {G2,W2,D2,L1,V0,M1} R(54,20) { alpha5( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (68) {G1,W2,D2,L1,V0,M1} R(16,42) { alpha1( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (84) {G3,W3,D3,L1,V1,M1} R(28,55) { alpha6( skol2( X ) ) }.
% 0.72/1.12 (137) {G3,W4,D3,L1,V0,M1} R(26,56) { rs( i2003_11_14_17_19_09372, skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 (139) {G1,W6,D3,L2,V1,M2} R(26,23) { rs( X, skol1( X ) ), ! alpha5( X ) }.
% 0.72/1.12 (141) {G4,W4,D3,L1,V0,M1} R(137,43) { rr( i2003_11_14_17_19_09372, skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 (169) {G1,W6,D3,L2,V1,M2} R(29,19) { rr( X, skol2( X ) ), ! alpha2( X ) }.
% 0.72/1.12 (209) {G3,W5,D2,L2,V1,M2} R(31,57) { ! alpha6( X ), ! rinvS( X,
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (218) {G4,W4,D3,L1,V1,M1} R(209,84) { ! rinvS( skol2( X ),
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (220) {G5,W4,D3,L1,V1,M1} R(218,41) { ! rs( i2003_11_14_17_19_09372, skol2
% 0.72/1.12 ( X ) ) }.
% 0.72/1.12 (232) {G6,W7,D3,L2,V2,M2} R(220,9) { ! X = skol2( Y ), ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, X ) }.
% 0.72/1.12 (263) {G2,W7,D2,L2,V2,M2} R(34,68) { ! alpha3( i2003_11_14_17_19_09372, X,
% 0.72/1.12 Y ), X = Y }.
% 0.72/1.12 (1272) {G7,W5,D3,L1,V1,M1} R(232,139);r(58) { ! skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) = skol2( X ) }.
% 0.72/1.12 (1283) {G8,W6,D3,L1,V1,M1} R(1272,263) { ! alpha3( i2003_11_14_17_19_09372
% 0.72/1.12 , skol1( i2003_11_14_17_19_09372 ), skol2( X ) ) }.
% 0.72/1.12 (1295) {G9,W4,D3,L1,V1,M1} R(1283,39);r(141) { ! rr(
% 0.72/1.12 i2003_11_14_17_19_09372, skol2( X ) ) }.
% 0.72/1.12 (1299) {G10,W0,D0,L0,V0,M0} R(1295,169);r(54) { }.
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Unprocessed initial clauses:
% 0.72/1.12
% 0.72/1.12 (1301) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 0.72/1.12 cUnsatisfiable( X ) }.
% 0.72/1.12 (1302) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.72/1.12 }.
% 0.72/1.12 (1303) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.72/1.12 (1304) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp( Y ), cp( X ) }.
% 0.72/1.12 (1305) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Z, Y ), rinvS( X, Y ) }.
% 0.72/1.12 (1306) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvS( Y, Z ), rinvS( Y, X ) }.
% 0.72/1.12 (1307) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.72/1.12 (1308) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.72/1.12 (1309) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Z, Y ), rs( X, Y ) }.
% 0.72/1.12 (1310) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X ) }.
% 0.72/1.12 (1311) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.72/1.12 }.
% 0.72/1.12 (1312) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.72/1.12 }.
% 0.72/1.12 (1313) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.72/1.12 (1314) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.72/1.12 (1315) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.72/1.12 (1316) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.72/1.12 (1317) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 0.72/1.12 (1318) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X ) }.
% 0.72/1.12 (1319) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha2( X ), cUnsatisfiable
% 0.72/1.12 ( X ) }.
% 0.72/1.12 (1320) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 (1321) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 (1322) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! alpha5( X ), alpha2( X ) }.
% 0.72/1.12 (1323) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), ! cp( X ) }.
% 0.72/1.12 (1324) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 (1325) {G0,W6,D2,L3,V1,M3} { cp( X ), ! alpha7( X ), alpha5( X ) }.
% 0.72/1.12 (1326) {G0,W5,D3,L2,V2,M2} { ! alpha7( X ), cp( skol1( Y ) ) }.
% 0.72/1.12 (1327) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), rs( X, skol1( X ) ) }.
% 0.72/1.12 (1328) {G0,W7,D2,L3,V2,M3} { ! rs( X, Y ), ! cp( Y ), alpha7( X ) }.
% 0.72/1.12 (1329) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), alpha6( skol2( Y ) ) }.
% 0.72/1.12 (1330) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rr( X, skol2( X ) ) }.
% 0.72/1.12 (1331) {G0,W7,D2,L3,V2,M3} { ! rr( X, Y ), ! alpha6( Y ), alpha4( X ) }.
% 0.72/1.12 (1332) {G0,W7,D2,L3,V2,M3} { ! alpha6( X ), ! rinvS( X, Y ), cp( Y ) }.
% 0.72/1.12 (1333) {G0,W5,D3,L2,V2,M2} { ! cp( skol3( Y ) ), alpha6( X ) }.
% 0.72/1.12 (1334) {G0,W6,D3,L2,V1,M2} { rinvS( X, skol3( X ) ), alpha6( X ) }.
% 0.72/1.12 (1335) {G0,W9,D2,L3,V3,M3} { ! alpha1( X ), ! alpha3( X, Y, Z ), Y = Z }.
% 0.72/1.12 (1336) {G0,W8,D3,L2,V1,M2} { alpha3( X, skol4( X ), skol5( X ) ), alpha1(
% 0.72/1.12 X ) }.
% 0.72/1.12 (1337) {G0,W7,D3,L2,V1,M2} { ! skol4( X ) = skol5( X ), alpha1( X ) }.
% 0.72/1.12 (1338) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), rr( X, Y ) }.
% 0.72/1.12 (1339) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), rr( X, Z ) }.
% 0.72/1.12 (1340) {G0,W10,D2,L3,V3,M3} { ! rr( X, Y ), ! rr( X, Z ), alpha3( X, Y, Z
% 0.72/1.12 ) }.
% 0.72/1.12 (1341) {G0,W6,D2,L2,V2,M2} { ! rinvS( X, Y ), rs( Y, X ) }.
% 0.72/1.12 (1342) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.72/1.12 (1343) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 (1344) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rr( X, Y ) }.
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Total Proof:
% 0.72/1.12
% 0.72/1.12 subsumption: (9) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rs( Y, Z ), rs( Y, X )
% 0.72/1.12 }.
% 0.72/1.12 parent0: (1310) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rs( Y, Z ), rs( Y, X )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 Z := Z
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 2 ==> 2
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 0.72/1.12 ) }.
% 0.72/1.12 parent0: (1317) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X
% 0.72/1.12 ) }.
% 0.72/1.12 parent0: (1318) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha2( X )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 parent0: (1320) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 parent0: (1321) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), ! cp( X ) }.
% 0.72/1.12 parent0: (1323) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), ! cp( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 parent0: (1324) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha7( X ), rs( X, skol1( X )
% 0.72/1.12 ) }.
% 0.72/1.12 parent0: (1327) {G0,W6,D3,L2,V1,M2} { ! alpha7( X ), rs( X, skol1( X ) )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), alpha6( skol2( Y )
% 0.72/1.12 ) }.
% 0.72/1.12 parent0: (1329) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), alpha6( skol2( Y ) )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol2( X )
% 0.72/1.12 ) }.
% 0.72/1.12 parent0: (1330) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rr( X, skol2( X ) )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (31) {G0,W7,D2,L3,V2,M3} I { ! alpha6( X ), ! rinvS( X, Y ),
% 0.72/1.12 cp( Y ) }.
% 0.72/1.12 parent0: (1332) {G0,W7,D2,L3,V2,M3} { ! alpha6( X ), ! rinvS( X, Y ), cp(
% 0.72/1.12 Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 2 ==> 2
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (34) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X ), ! alpha3( X, Y, Z
% 0.72/1.12 ), Y = Z }.
% 0.72/1.12 parent0: (1335) {G0,W9,D2,L3,V3,M3} { ! alpha1( X ), ! alpha3( X, Y, Z ),
% 0.72/1.12 Y = Z }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 Z := Z
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 2 ==> 2
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (39) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ),
% 0.72/1.12 alpha3( X, Y, Z ) }.
% 0.72/1.12 parent0: (1340) {G0,W10,D2,L3,V3,M3} { ! rr( X, Y ), ! rr( X, Z ), alpha3
% 0.72/1.12 ( X, Y, Z ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 Z := Z
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 2 ==> 2
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (41) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.72/1.12 parent0: (1342) {G0,W6,D2,L2,V2,M2} { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (42) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1343) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (43) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rr( X, Y ) }.
% 0.72/1.12 parent0: (1344) {G0,W6,D2,L2,V2,M2} { ! rs( X, Y ), rr( X, Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1548) {G1,W4,D2,L2,V1,M2} { ! cp( X ), ! alpha2( X ) }.
% 0.72/1.12 parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), ! cp( X ) }.
% 0.72/1.12 parent1[1]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (47) {G1,W4,D2,L2,V1,M2} R(20,22) { ! alpha2( X ), ! cp( X )
% 0.72/1.12 }.
% 0.72/1.12 parent0: (1548) {G1,W4,D2,L2,V1,M2} { ! cp( X ), ! alpha2( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 1
% 0.72/1.12 1 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1549) {G1,W4,D2,L2,V1,M2} { alpha7( X ), ! alpha2( X ) }.
% 0.72/1.12 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 parent1[1]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (48) {G1,W4,D2,L2,V1,M2} R(20,23) { ! alpha2( X ), alpha7( X )
% 0.72/1.12 }.
% 0.72/1.12 parent0: (1549) {G1,W4,D2,L2,V1,M2} { alpha7( X ), ! alpha2( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 1
% 0.72/1.12 1 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1550) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 parent0[0]: (17) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha2( X )
% 0.72/1.12 }.
% 0.72/1.12 parent1[0]: (42) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1550) {G1,W2,D2,L1,V0,M1} { alpha2( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1551) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 parent0[0]: (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (55) {G2,W2,D2,L1,V0,M1} R(54,19) { alpha4(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1551) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1552) {G2,W2,D2,L1,V0,M1} { alpha7( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 parent0[0]: (48) {G1,W4,D2,L2,V1,M2} R(20,23) { ! alpha2( X ), alpha7( X )
% 0.72/1.12 }.
% 0.72/1.12 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (56) {G2,W2,D2,L1,V0,M1} R(54,48) { alpha7(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1552) {G2,W2,D2,L1,V0,M1} { alpha7( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1553) {G2,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 parent0[0]: (47) {G1,W4,D2,L2,V1,M2} R(20,22) { ! alpha2( X ), ! cp( X )
% 0.72/1.12 }.
% 0.72/1.12 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (57) {G2,W2,D2,L1,V0,M1} R(54,47) { ! cp(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1553) {G2,W2,D2,L1,V0,M1} { ! cp( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1554) {G1,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha5( X ) }.
% 0.72/1.12 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (58) {G2,W2,D2,L1,V0,M1} R(54,20) { alpha5(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1554) {G1,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1555) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 parent0[0]: (16) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 0.72/1.12 }.
% 0.72/1.12 parent1[0]: (42) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (68) {G1,W2,D2,L1,V0,M1} R(16,42) { alpha1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1555) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_09372 )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1556) {G1,W3,D3,L1,V1,M1} { alpha6( skol2( X ) ) }.
% 0.72/1.12 parent0[0]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), alpha6( skol2( Y )
% 0.72/1.12 ) }.
% 0.72/1.12 parent1[0]: (55) {G2,W2,D2,L1,V0,M1} R(54,19) { alpha4(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 Y := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (84) {G3,W3,D3,L1,V1,M1} R(28,55) { alpha6( skol2( X ) ) }.
% 0.72/1.12 parent0: (1556) {G1,W3,D3,L1,V1,M1} { alpha6( skol2( X ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1557) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_19_09372,
% 0.72/1.12 skol1( i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha7( X ), rs( X, skol1( X ) )
% 0.72/1.12 }.
% 0.72/1.12 parent1[0]: (56) {G2,W2,D2,L1,V0,M1} R(54,48) { alpha7(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (137) {G3,W4,D3,L1,V0,M1} R(26,56) { rs(
% 0.72/1.12 i2003_11_14_17_19_09372, skol1( i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 parent0: (1557) {G1,W4,D3,L1,V0,M1} { rs( i2003_11_14_17_19_09372, skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1558) {G1,W6,D3,L2,V1,M2} { rs( X, skol1( X ) ), ! alpha5( X
% 0.72/1.12 ) }.
% 0.72/1.12 parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha7( X ), rs( X, skol1( X ) )
% 0.72/1.12 }.
% 0.72/1.12 parent1[1]: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha5( X ), alpha7( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (139) {G1,W6,D3,L2,V1,M2} R(26,23) { rs( X, skol1( X ) ), !
% 0.72/1.12 alpha5( X ) }.
% 0.72/1.12 parent0: (1558) {G1,W6,D3,L2,V1,M2} { rs( X, skol1( X ) ), ! alpha5( X )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1559) {G1,W4,D3,L1,V0,M1} { rr( i2003_11_14_17_19_09372,
% 0.72/1.12 skol1( i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 parent0[0]: (43) {G0,W6,D2,L2,V2,M2} I { ! rs( X, Y ), rr( X, Y ) }.
% 0.72/1.12 parent1[0]: (137) {G3,W4,D3,L1,V0,M1} R(26,56) { rs(
% 0.72/1.12 i2003_11_14_17_19_09372, skol1( i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 Y := skol1( i2003_11_14_17_19_09372 )
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (141) {G4,W4,D3,L1,V0,M1} R(137,43) { rr(
% 0.72/1.12 i2003_11_14_17_19_09372, skol1( i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 parent0: (1559) {G1,W4,D3,L1,V0,M1} { rr( i2003_11_14_17_19_09372, skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1560) {G1,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), ! alpha2( X
% 0.72/1.12 ) }.
% 0.72/1.12 parent0[0]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rr( X, skol2( X ) )
% 0.72/1.12 }.
% 0.72/1.12 parent1[1]: (19) {G0,W4,D2,L2,V1,M2} I { ! alpha2( X ), alpha4( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (169) {G1,W6,D3,L2,V1,M2} R(29,19) { rr( X, skol2( X ) ), !
% 0.72/1.12 alpha2( X ) }.
% 0.72/1.12 parent0: (1560) {G1,W6,D3,L2,V1,M2} { rr( X, skol2( X ) ), ! alpha2( X )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1561) {G1,W5,D2,L2,V1,M2} { ! alpha6( X ), ! rinvS( X,
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0[0]: (57) {G2,W2,D2,L1,V0,M1} R(54,47) { ! cp(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent1[2]: (31) {G0,W7,D2,L3,V2,M3} I { ! alpha6( X ), ! rinvS( X, Y ), cp
% 0.72/1.12 ( Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := X
% 0.72/1.12 Y := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (209) {G3,W5,D2,L2,V1,M2} R(31,57) { ! alpha6( X ), ! rinvS( X
% 0.72/1.12 , i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1561) {G1,W5,D2,L2,V1,M2} { ! alpha6( X ), ! rinvS( X,
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1562) {G4,W4,D3,L1,V1,M1} { ! rinvS( skol2( X ),
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0[0]: (209) {G3,W5,D2,L2,V1,M2} R(31,57) { ! alpha6( X ), ! rinvS( X
% 0.72/1.12 , i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent1[0]: (84) {G3,W3,D3,L1,V1,M1} R(28,55) { alpha6( skol2( X ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := skol2( X )
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (218) {G4,W4,D3,L1,V1,M1} R(209,84) { ! rinvS( skol2( X ),
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0: (1562) {G4,W4,D3,L1,V1,M1} { ! rinvS( skol2( X ),
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1563) {G1,W4,D3,L1,V1,M1} { ! rs( i2003_11_14_17_19_09372,
% 0.72/1.12 skol2( X ) ) }.
% 0.72/1.12 parent0[0]: (218) {G4,W4,D3,L1,V1,M1} R(209,84) { ! rinvS( skol2( X ),
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent1[1]: (41) {G0,W6,D2,L2,V2,M2} I { ! rs( Y, X ), rinvS( X, Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := skol2( X )
% 0.72/1.12 Y := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (220) {G5,W4,D3,L1,V1,M1} R(218,41) { ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, skol2( X ) ) }.
% 0.72/1.12 parent0: (1563) {G1,W4,D3,L1,V1,M1} { ! rs( i2003_11_14_17_19_09372, skol2
% 0.72/1.12 ( X ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1564) {G0,W9,D2,L3,V3,M3} { ! Y = X, ! rs( Z, X ), rs( Z, Y ) }.
% 0.72/1.12 parent0[0]: (9) {G0,W9,D2,L3,V3,M3} I { ! Z = X, ! rs( Y, Z ), rs( Y, X )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := Y
% 0.72/1.12 Y := Z
% 0.72/1.12 Z := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1565) {G1,W7,D3,L2,V2,M2} { ! skol2( X ) = Y, ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, Y ) }.
% 0.72/1.12 parent0[0]: (220) {G5,W4,D3,L1,V1,M1} R(218,41) { ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, skol2( X ) ) }.
% 0.72/1.12 parent1[2]: (1564) {G0,W9,D2,L3,V3,M3} { ! Y = X, ! rs( Z, X ), rs( Z, Y )
% 0.72/1.12 }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := Y
% 0.72/1.12 Y := skol2( X )
% 0.72/1.12 Z := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1566) {G1,W7,D3,L2,V2,M2} { ! Y = skol2( X ), ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, Y ) }.
% 0.72/1.12 parent0[0]: (1565) {G1,W7,D3,L2,V2,M2} { ! skol2( X ) = Y, ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (232) {G6,W7,D3,L2,V2,M2} R(220,9) { ! X = skol2( Y ), ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, X ) }.
% 0.72/1.12 parent0: (1566) {G1,W7,D3,L2,V2,M2} { ! Y = skol2( X ), ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := Y
% 0.72/1.12 Y := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 1 ==> 1
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1567) {G0,W9,D2,L3,V3,M3} { Y = X, ! alpha1( Z ), ! alpha3( Z, X
% 0.72/1.12 , Y ) }.
% 0.72/1.12 parent0[2]: (34) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X ), ! alpha3( X, Y, Z )
% 0.72/1.12 , Y = Z }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := Z
% 0.72/1.12 Y := X
% 0.72/1.12 Z := Y
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1568) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, Y, X ) }.
% 0.72/1.12 parent0[1]: (1567) {G0,W9,D2,L3,V3,M3} { Y = X, ! alpha1( Z ), ! alpha3( Z
% 0.72/1.12 , X, Y ) }.
% 0.72/1.12 parent1[0]: (68) {G1,W2,D2,L1,V0,M1} R(16,42) { alpha1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := Y
% 0.72/1.12 Y := X
% 0.72/1.12 Z := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1569) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, Y, X ) }.
% 0.72/1.12 parent0[0]: (1568) {G1,W7,D2,L2,V2,M2} { X = Y, ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, Y, X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (263) {G2,W7,D2,L2,V2,M2} R(34,68) { ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, X, Y ), X = Y }.
% 0.72/1.12 parent0: (1569) {G1,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, Y, X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := Y
% 0.72/1.12 Y := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 1
% 0.72/1.12 1 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1570) {G6,W7,D3,L2,V2,M2} { ! skol2( Y ) = X, ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, X ) }.
% 0.72/1.12 parent0[0]: (232) {G6,W7,D3,L2,V2,M2} R(220,9) { ! X = skol2( Y ), ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1571) {G2,W7,D3,L2,V1,M2} { ! skol2( X ) = skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ), ! alpha5( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0[1]: (1570) {G6,W7,D3,L2,V2,M2} { ! skol2( Y ) = X, ! rs(
% 0.72/1.12 i2003_11_14_17_19_09372, X ) }.
% 0.72/1.12 parent1[0]: (139) {G1,W6,D3,L2,V1,M2} R(26,23) { rs( X, skol1( X ) ), !
% 0.72/1.12 alpha5( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := skol1( i2003_11_14_17_19_09372 )
% 0.72/1.12 Y := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1572) {G3,W5,D3,L1,V1,M1} { ! skol2( X ) = skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0[1]: (1571) {G2,W7,D3,L2,V1,M2} { ! skol2( X ) = skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ), ! alpha5( i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent1[0]: (58) {G2,W2,D2,L1,V0,M1} R(54,20) { alpha5(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1573) {G3,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_19_09372 ) =
% 0.72/1.12 skol2( X ) }.
% 0.72/1.12 parent0[0]: (1572) {G3,W5,D3,L1,V1,M1} { ! skol2( X ) = skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (1272) {G7,W5,D3,L1,V1,M1} R(232,139);r(58) { ! skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) = skol2( X ) }.
% 0.72/1.12 parent0: (1573) {G3,W5,D3,L1,V1,M1} { ! skol1( i2003_11_14_17_19_09372 ) =
% 0.72/1.12 skol2( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1574) {G7,W5,D3,L1,V1,M1} { ! skol2( X ) = skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent0[0]: (1272) {G7,W5,D3,L1,V1,M1} R(232,139);r(58) { ! skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) = skol2( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 eqswap: (1575) {G2,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, X, Y ) }.
% 0.72/1.12 parent0[1]: (263) {G2,W7,D2,L2,V2,M2} R(34,68) { ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, X, Y ), X = Y }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 Y := Y
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1576) {G3,W6,D3,L1,V1,M1} { ! alpha3( i2003_11_14_17_19_09372
% 0.72/1.12 , skol1( i2003_11_14_17_19_09372 ), skol2( X ) ) }.
% 0.72/1.12 parent0[0]: (1574) {G7,W5,D3,L1,V1,M1} { ! skol2( X ) = skol1(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 parent1[0]: (1575) {G2,W7,D2,L2,V2,M2} { Y = X, ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, X, Y ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := skol1( i2003_11_14_17_19_09372 )
% 0.72/1.12 Y := skol2( X )
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (1283) {G8,W6,D3,L1,V1,M1} R(1272,263) { ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, skol1( i2003_11_14_17_19_09372 ), skol2( X ) )
% 0.72/1.12 }.
% 0.72/1.12 parent0: (1576) {G3,W6,D3,L1,V1,M1} { ! alpha3( i2003_11_14_17_19_09372,
% 0.72/1.12 skol1( i2003_11_14_17_19_09372 ), skol2( X ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1577) {G1,W8,D3,L2,V1,M2} { ! rr( i2003_11_14_17_19_09372,
% 0.72/1.12 skol1( i2003_11_14_17_19_09372 ) ), ! rr( i2003_11_14_17_19_09372, skol2
% 0.72/1.12 ( X ) ) }.
% 0.72/1.12 parent0[0]: (1283) {G8,W6,D3,L1,V1,M1} R(1272,263) { ! alpha3(
% 0.72/1.12 i2003_11_14_17_19_09372, skol1( i2003_11_14_17_19_09372 ), skol2( X ) )
% 0.72/1.12 }.
% 0.72/1.12 parent1[2]: (39) {G0,W10,D2,L3,V3,M3} I { ! rr( X, Y ), ! rr( X, Z ),
% 0.72/1.12 alpha3( X, Y, Z ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 Y := skol1( i2003_11_14_17_19_09372 )
% 0.72/1.12 Z := skol2( X )
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1578) {G2,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_19_09372,
% 0.72/1.12 skol2( X ) ) }.
% 0.72/1.12 parent0[0]: (1577) {G1,W8,D3,L2,V1,M2} { ! rr( i2003_11_14_17_19_09372,
% 0.72/1.12 skol1( i2003_11_14_17_19_09372 ) ), ! rr( i2003_11_14_17_19_09372, skol2
% 0.72/1.12 ( X ) ) }.
% 0.72/1.12 parent1[0]: (141) {G4,W4,D3,L1,V0,M1} R(137,43) { rr(
% 0.72/1.12 i2003_11_14_17_19_09372, skol1( i2003_11_14_17_19_09372 ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (1295) {G9,W4,D3,L1,V1,M1} R(1283,39);r(141) { ! rr(
% 0.72/1.12 i2003_11_14_17_19_09372, skol2( X ) ) }.
% 0.72/1.12 parent0: (1578) {G2,W4,D3,L1,V1,M1} { ! rr( i2003_11_14_17_19_09372, skol2
% 0.72/1.12 ( X ) ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := X
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 0 ==> 0
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1579) {G2,W2,D2,L1,V0,M1} { ! alpha2( i2003_11_14_17_19_09372
% 0.72/1.12 ) }.
% 0.72/1.12 parent0[0]: (1295) {G9,W4,D3,L1,V1,M1} R(1283,39);r(141) { ! rr(
% 0.72/1.12 i2003_11_14_17_19_09372, skol2( X ) ) }.
% 0.72/1.12 parent1[0]: (169) {G1,W6,D3,L2,V1,M2} R(29,19) { rr( X, skol2( X ) ), !
% 0.72/1.12 alpha2( X ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 X := i2003_11_14_17_19_09372
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 resolution: (1580) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.12 parent0[0]: (1579) {G2,W2,D2,L1,V0,M1} { ! alpha2( i2003_11_14_17_19_09372
% 0.72/1.12 ) }.
% 0.72/1.12 parent1[0]: (54) {G1,W2,D2,L1,V0,M1} R(17,42) { alpha2(
% 0.72/1.12 i2003_11_14_17_19_09372 ) }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 substitution1:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 subsumption: (1299) {G10,W0,D0,L0,V0,M0} R(1295,169);r(54) { }.
% 0.72/1.12 parent0: (1580) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.12 substitution0:
% 0.72/1.12 end
% 0.72/1.12 permutation0:
% 0.72/1.12 end
% 0.72/1.12
% 0.72/1.12 Proof check complete!
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 15924
% 0.72/1.12 space for clauses: 51866
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 3507
% 0.72/1.12 clauses kept: 1300
% 0.72/1.12 clauses selected: 204
% 0.72/1.12 clauses deleted: 14
% 0.72/1.12 clauses inuse deleted: 3
% 0.72/1.12
% 0.72/1.12 subsentry: 8640
% 0.72/1.12 literals s-matched: 7356
% 0.72/1.12 literals matched: 7115
% 0.72/1.12 full subsumption: 2996
% 0.72/1.12
% 0.72/1.12 checksum: -1717669819
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------