TSTP Solution File: KRS084+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 02:42:11 EDT 2022
% Result : Unsatisfiable 1.75s 2.14s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 7 07:48:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.75/2.14 *** allocated 10000 integers for termspace/termends
% 1.75/2.14 *** allocated 10000 integers for clauses
% 1.75/2.14 *** allocated 10000 integers for justifications
% 1.75/2.14 Bliksem 1.12
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Automatic Strategy Selection
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Clauses:
% 1.75/2.14
% 1.75/2.14 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 1.75/2.14 { ! Y = X, ! cc( Y ), cc( X ) }.
% 1.75/2.14 { ! Y = X, ! cd( Y ), cd( X ) }.
% 1.75/2.14 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 1.75/2.14 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 1.75/2.14 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.75/2.14 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.75/2.14 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.75/2.14 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.75/2.14 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 1.75/2.14 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 1.75/2.14 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 1.75/2.14 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 1.75/2.14 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 1.75/2.14 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 1.75/2.14 { cowlThing( X ) }.
% 1.75/2.14 { ! cowlNothing( X ) }.
% 1.75/2.14 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.75/2.14 { xsd_integer( X ), xsd_string( X ) }.
% 1.75/2.14 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.75/2.14 { ! cUnsatisfiable( X ), alpha3( X ) }.
% 1.75/2.14 { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable( X ) }.
% 1.75/2.14 { ! alpha3( X ), alpha4( X ) }.
% 1.75/2.14 { ! alpha3( X ), ! cc( X ) }.
% 1.75/2.14 { ! alpha4( X ), cc( X ), alpha3( X ) }.
% 1.75/2.14 { ! alpha4( X ), ! rinvR( X, Y ), alpha5( Y ) }.
% 1.75/2.14 { ! alpha5( skol1( Y ) ), alpha4( X ) }.
% 1.75/2.14 { rinvR( X, skol1( X ) ), alpha4( X ) }.
% 1.75/2.14 { ! alpha5( X ), cd( skol2( Y ) ) }.
% 1.75/2.14 { ! alpha5( X ), rinvF( X, skol2( X ) ) }.
% 1.75/2.14 { ! rinvF( X, Y ), ! cd( Y ), alpha5( X ) }.
% 1.75/2.14 { ! alpha1( X ), cd( skol3( Y ) ) }.
% 1.75/2.14 { ! alpha1( X ), rinvF( X, skol3( X ) ) }.
% 1.75/2.14 { ! rinvF( X, Y ), ! cd( Y ), alpha1( X ) }.
% 1.75/2.14 { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 { ! cd( X ), cc( X ) }.
% 1.75/2.14 { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 1.75/2.14 { ! alpha2( X ), ! cc( skol4( Y ) ) }.
% 1.75/2.14 { ! alpha2( X ), rf( X, skol4( X ) ) }.
% 1.75/2.14 { ! rf( X, Y ), cc( Y ), alpha2( X ) }.
% 1.75/2.14 { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.75/2.14 { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.75/2.14 { ! rinvR( X, Y ), rr( Y, X ) }.
% 1.75/2.14 { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.75/2.14 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 1.75/2.14 { cUnsatisfiable( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 { ! rf( X, Y ), rr( X, Y ) }.
% 1.75/2.14
% 1.75/2.14 percentage equality = 0.136752, percentage horn = 0.916667
% 1.75/2.14 This is a problem with some equality
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Options Used:
% 1.75/2.14
% 1.75/2.14 useres = 1
% 1.75/2.14 useparamod = 1
% 1.75/2.14 useeqrefl = 1
% 1.75/2.14 useeqfact = 1
% 1.75/2.14 usefactor = 1
% 1.75/2.14 usesimpsplitting = 0
% 1.75/2.14 usesimpdemod = 5
% 1.75/2.14 usesimpres = 3
% 1.75/2.14
% 1.75/2.14 resimpinuse = 1000
% 1.75/2.14 resimpclauses = 20000
% 1.75/2.14 substype = eqrewr
% 1.75/2.14 backwardsubs = 1
% 1.75/2.14 selectoldest = 5
% 1.75/2.14
% 1.75/2.14 litorderings [0] = split
% 1.75/2.14 litorderings [1] = extend the termordering, first sorting on arguments
% 1.75/2.14
% 1.75/2.14 termordering = kbo
% 1.75/2.14
% 1.75/2.14 litapriori = 0
% 1.75/2.14 termapriori = 1
% 1.75/2.14 litaposteriori = 0
% 1.75/2.14 termaposteriori = 0
% 1.75/2.14 demodaposteriori = 0
% 1.75/2.14 ordereqreflfact = 0
% 1.75/2.14
% 1.75/2.14 litselect = negord
% 1.75/2.14
% 1.75/2.14 maxweight = 15
% 1.75/2.14 maxdepth = 30000
% 1.75/2.14 maxlength = 115
% 1.75/2.14 maxnrvars = 195
% 1.75/2.14 excuselevel = 1
% 1.75/2.14 increasemaxweight = 1
% 1.75/2.14
% 1.75/2.14 maxselected = 10000000
% 1.75/2.14 maxnrclauses = 10000000
% 1.75/2.14
% 1.75/2.14 showgenerated = 0
% 1.75/2.14 showkept = 0
% 1.75/2.14 showselected = 0
% 1.75/2.14 showdeleted = 0
% 1.75/2.14 showresimp = 1
% 1.75/2.14 showstatus = 2000
% 1.75/2.14
% 1.75/2.14 prologoutput = 0
% 1.75/2.14 nrgoals = 5000000
% 1.75/2.14 totalproof = 1
% 1.75/2.14
% 1.75/2.14 Symbols occurring in the translation:
% 1.75/2.14
% 1.75/2.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.75/2.14 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 1.75/2.14 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 1.75/2.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.75/2.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.75/2.14 cUnsatisfiable [37, 1] (w:1, o:18, a:1, s:1, b:0),
% 1.75/2.14 cc [38, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.75/2.14 cd [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.75/2.14 cowlNothing [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.75/2.14 cowlThing [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.75/2.14 rf [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.75/2.14 rinvF [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.75/2.14 rinvR [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.75/2.14 rr [46, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.75/2.14 xsd_integer [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.75/2.14 xsd_string [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.75/2.14 i2003_11_14_17_19_35232 [52, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.75/2.14 alpha1 [53, 1] (w:1, o:25, a:1, s:1, b:1),
% 1.75/2.14 alpha2 [54, 1] (w:1, o:26, a:1, s:1, b:1),
% 1.75/2.14 alpha3 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 1.75/2.14 alpha4 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 1.75/2.14 alpha5 [57, 1] (w:1, o:29, a:1, s:1, b:1),
% 1.75/2.14 skol1 [58, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.75/2.14 skol2 [59, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.75/2.14 skol3 [60, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.75/2.14 skol4 [61, 1] (w:1, o:33, a:1, s:1, b:1).
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Starting Search:
% 1.75/2.14
% 1.75/2.14 *** allocated 15000 integers for clauses
% 1.75/2.14 *** allocated 22500 integers for clauses
% 1.75/2.14 *** allocated 33750 integers for clauses
% 1.75/2.14 *** allocated 50625 integers for clauses
% 1.75/2.14 *** allocated 15000 integers for termspace/termends
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 75937 integers for clauses
% 1.75/2.14 *** allocated 22500 integers for termspace/termends
% 1.75/2.14 *** allocated 33750 integers for termspace/termends
% 1.75/2.14 *** allocated 113905 integers for clauses
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 6805
% 1.75/2.14 Kept: 2004
% 1.75/2.14 Inuse: 274
% 1.75/2.14 Deleted: 52
% 1.75/2.14 Deletedinuse: 17
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 50625 integers for termspace/termends
% 1.75/2.14 *** allocated 170857 integers for clauses
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 15028
% 1.75/2.14 Kept: 4005
% 1.75/2.14 Inuse: 426
% 1.75/2.14 Deleted: 71
% 1.75/2.14 Deletedinuse: 17
% 1.75/2.14
% 1.75/2.14 *** allocated 75937 integers for termspace/termends
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 256285 integers for clauses
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 113905 integers for termspace/termends
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 23458
% 1.75/2.14 Kept: 6006
% 1.75/2.14 Inuse: 578
% 1.75/2.14 Deleted: 78
% 1.75/2.14 Deletedinuse: 17
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 384427 integers for clauses
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 33289
% 1.75/2.14 Kept: 8006
% 1.75/2.14 Inuse: 683
% 1.75/2.14 Deleted: 101
% 1.75/2.14 Deletedinuse: 25
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 170857 integers for termspace/termends
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 *** allocated 576640 integers for clauses
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 43622
% 1.75/2.14 Kept: 10009
% 1.75/2.14 Inuse: 779
% 1.75/2.14 Deleted: 110
% 1.75/2.14 Deletedinuse: 25
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Bliksems!, er is een bewijs:
% 1.75/2.14 % SZS status Unsatisfiable
% 1.75/2.14 % SZS output start Refutation
% 1.75/2.14
% 1.75/2.14 (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.75/2.14 (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X ) }.
% 1.75/2.14 (22) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 1.75/2.14 (25) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvR( X, Y ), alpha5( Y )
% 1.75/2.14 }.
% 1.75/2.14 (28) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol2( Y ) ) }.
% 1.75/2.14 (29) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol2( X ) ) }.
% 1.75/2.14 (30) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha5( X ) }.
% 1.75/2.14 (31) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cd( skol3( Y ) ) }.
% 1.75/2.14 (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol3( X ) ) }.
% 1.75/2.14 (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha1( X ) }.
% 1.75/2.14 (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 (35) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 1.75/2.14 (37) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ! cc( skol4( Y ) ) }.
% 1.75/2.14 (38) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol4( X ) ) }.
% 1.75/2.14 (40) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.75/2.14 (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 (44) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.75/2.14 (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 (47) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 1.75/2.14 (55) {G1,W2,D2,L1,V0,M1} R(20,46) { alpha3( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 (59) {G2,W2,D2,L1,V0,M1} R(55,22) { alpha4( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 (80) {G1,W5,D3,L2,V2,M2} R(37,34) { ! cc( skol4( X ) ), ! cd( Y ) }.
% 1.75/2.14 (83) {G2,W5,D3,L2,V2,M2} R(80,35) { ! cd( X ), ! cd( skol4( Y ) ) }.
% 1.75/2.14 (84) {G3,W3,D3,L1,V1,M1} F(83) { ! cd( skol4( X ) ) }.
% 1.75/2.14 (92) {G2,W3,D3,L1,V1,M1} R(31,71) { cd( skol3( X ) ) }.
% 1.75/2.14 (117) {G1,W5,D3,L2,V2,M2} R(28,34) { ! alpha5( X ), alpha2( skol2( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 (127) {G1,W6,D2,L2,V2,M2} R(44,47) { rinvR( X, Y ), ! rf( Y, X ) }.
% 1.75/2.14 (139) {G2,W6,D2,L2,V2,M2} R(41,127) { ! rinvF( X, Y ), rinvR( X, Y ) }.
% 1.75/2.14 (178) {G3,W5,D2,L2,V1,M2} R(25,59) { ! rinvR( i2003_11_14_17_19_35232, X )
% 1.75/2.14 , alpha5( X ) }.
% 1.75/2.14 (181) {G4,W5,D2,L2,V1,M2} R(178,139) { alpha5( X ), ! rinvF(
% 1.75/2.14 i2003_11_14_17_19_35232, X ) }.
% 1.75/2.14 (234) {G5,W5,D3,L2,V0,M2} R(29,181) { ! alpha5( i2003_11_14_17_19_35232 ),
% 1.75/2.14 alpha5( skol2( i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 (271) {G3,W6,D3,L2,V2,M2} R(30,92) { ! rinvF( X, skol3( Y ) ), alpha5( X )
% 1.75/2.14 }.
% 1.75/2.14 (298) {G4,W4,D2,L2,V1,M2} R(32,271) { ! alpha1( X ), alpha5( X ) }.
% 1.75/2.14 (299) {G5,W3,D3,L1,V0,M1} R(32,181);r(71) { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 (311) {G6,W3,D3,L1,V1,M1} R(299,117) { alpha2( skol2( X ) ) }.
% 1.75/2.14 (314) {G6,W3,D3,L1,V1,M1} R(299,28) { cd( skol2( X ) ) }.
% 1.75/2.14 (318) {G7,W4,D2,L2,V1,M2} R(33,29);r(314) { alpha1( X ), ! alpha5( X ) }.
% 1.75/2.14 (350) {G6,W3,D3,L1,V0,M1} R(298,234);r(71) { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 (351) {G5,W6,D3,L2,V1,M2} R(298,29) { ! alpha1( X ), rinvF( X, skol2( X ) )
% 1.75/2.14 }.
% 1.75/2.14 (357) {G8,W3,D3,L1,V0,M1} R(350,318) { alpha1( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 (381) {G1,W9,D3,L3,V2,M3} R(40,38) { ! rf( X, Y ), skol4( X ) = Y, ! alpha2
% 1.75/2.14 ( X ) }.
% 1.75/2.14 (803) {G6,W6,D3,L2,V1,M2} R(351,41) { ! alpha1( X ), rf( skol2( X ), X )
% 1.75/2.14 }.
% 1.75/2.14 (889) {G9,W6,D4,L1,V0,M1} R(803,357) { rf( skol2( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), skol2( i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 (11748) {G7,W6,D3,L2,V2,M2} P(381,314);r(84) { ! rf( Y, skol2( X ) ), !
% 1.75/2.14 alpha2( Y ) }.
% 1.75/2.14 (11776) {G10,W0,D0,L0,V0,M0} R(11748,889);r(311) { }.
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 % SZS output end Refutation
% 1.75/2.14 found a proof!
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Unprocessed initial clauses:
% 1.75/2.14
% 1.75/2.14 (11778) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 1.75/2.14 cUnsatisfiable( X ) }.
% 1.75/2.14 (11779) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc( Y ), cc( X ) }.
% 1.75/2.14 (11780) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( Y ), cd( X ) }.
% 1.75/2.14 (11781) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X
% 1.75/2.14 ) }.
% 1.75/2.14 (11782) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X )
% 1.75/2.14 }.
% 1.75/2.14 (11783) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.75/2.14 (11784) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.75/2.14 (11785) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.75/2.14 (11786) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.75/2.14 (11787) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 1.75/2.14 (11788) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 1.75/2.14 (11789) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 1.75/2.14 (11790) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 1.75/2.14 (11791) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X
% 1.75/2.14 ) }.
% 1.75/2.14 (11792) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 1.75/2.14 }.
% 1.75/2.14 (11793) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 1.75/2.14 (11794) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 1.75/2.14 (11795) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.75/2.14 (11796) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 1.75/2.14 (11797) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.75/2.14 (11798) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X ) }.
% 1.75/2.14 (11799) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable
% 1.75/2.14 ( X ) }.
% 1.75/2.14 (11800) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 1.75/2.14 (11801) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), ! cc( X ) }.
% 1.75/2.14 (11802) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), cc( X ), alpha3( X ) }.
% 1.75/2.14 (11803) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! rinvR( X, Y ), alpha5( Y )
% 1.75/2.14 }.
% 1.75/2.14 (11804) {G0,W5,D3,L2,V2,M2} { ! alpha5( skol1( Y ) ), alpha4( X ) }.
% 1.75/2.14 (11805) {G0,W6,D3,L2,V1,M2} { rinvR( X, skol1( X ) ), alpha4( X ) }.
% 1.75/2.14 (11806) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cd( skol2( Y ) ) }.
% 1.75/2.14 (11807) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rinvF( X, skol2( X ) ) }.
% 1.75/2.14 (11808) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha5( X ) }.
% 1.75/2.14 (11809) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), cd( skol3( Y ) ) }.
% 1.75/2.14 (11810) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rinvF( X, skol3( X ) ) }.
% 1.75/2.14 (11811) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha1( X ) }.
% 1.75/2.14 (11812) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 (11813) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 1.75/2.14 (11814) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 1.75/2.14 (11815) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ! cc( skol4( Y ) ) }.
% 1.75/2.14 (11816) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol4( X ) ) }.
% 1.75/2.14 (11817) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), cc( Y ), alpha2( X ) }.
% 1.75/2.14 (11818) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 1.75/2.14 (11819) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 (11820) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.75/2.14 (11821) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 1.75/2.14 (11822) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.75/2.14 (11823) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 1.75/2.14 (11824) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_19_35232 )
% 1.75/2.14 }.
% 1.75/2.14 (11825) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Total Proof:
% 1.75/2.14
% 1.75/2.14 subsumption: (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 1.75/2.14 ) }.
% 1.75/2.14 parent0: (11797) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X
% 1.75/2.14 ) }.
% 1.75/2.14 parent0: (11798) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 1.75/2.14 parent0: (11800) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha4( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (25) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvR( X, Y ),
% 1.75/2.14 alpha5( Y ) }.
% 1.75/2.14 parent0: (11803) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! rinvR( X, Y ),
% 1.75/2.14 alpha5( Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 2 ==> 2
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol2( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 parent0: (11806) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cd( skol2( Y ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol2( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 parent0: (11807) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rinvF( X, skol2( X )
% 1.75/2.14 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (30) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ),
% 1.75/2.14 alpha5( X ) }.
% 1.75/2.14 parent0: (11808) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha5
% 1.75/2.14 ( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 2 ==> 2
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cd( skol3( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 parent0: (11809) {G0,W5,D3,L2,V2,M2} { ! alpha1( X ), cd( skol3( Y ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol3( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 parent0: (11810) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), rinvF( X, skol3( X )
% 1.75/2.14 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ),
% 1.75/2.14 alpha1( X ) }.
% 1.75/2.14 parent0: (11811) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha1
% 1.75/2.14 ( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 2 ==> 2
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 parent0: (11812) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (35) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 1.75/2.14 parent0: (11813) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (37) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ! cc( skol4( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 parent0: (11815) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ! cc( skol4( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (38) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol4( X )
% 1.75/2.14 ) }.
% 1.75/2.14 parent0: (11816) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol4( X ) )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (40) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.75/2.14 }.
% 1.75/2.14 parent0: (11818) {G0,W9,D2,L3,V3,M3} { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 Z := Z
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 2 ==> 2
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 parent0: (11819) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (44) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.75/2.14 parent0: (11822) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0: (11824) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (47) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 1.75/2.14 parent0: (11825) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12118) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_19_35232
% 1.75/2.14 ) }.
% 1.75/2.14 parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X )
% 1.75/2.14 }.
% 1.75/2.14 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (55) {G1,W2,D2,L1,V0,M1} R(20,46) { alpha3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0: (12118) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_19_35232 )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12119) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_35232
% 1.75/2.14 ) }.
% 1.75/2.14 parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha4( X ) }.
% 1.75/2.14 parent1[0]: (55) {G1,W2,D2,L1,V0,M1} R(20,46) { alpha3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (59) {G2,W2,D2,L1,V0,M1} R(55,22) { alpha4(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0: (12119) {G1,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_35232 )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12120) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_35232
% 1.75/2.14 ) }.
% 1.75/2.14 parent0[0]: (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 1.75/2.14 }.
% 1.75/2.14 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0: (12120) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_35232 )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12121) {G1,W5,D3,L2,V2,M2} { ! cc( skol4( Y ) ), ! cd( X )
% 1.75/2.14 }.
% 1.75/2.14 parent0[0]: (37) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ! cc( skol4( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 parent1[1]: (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (80) {G1,W5,D3,L2,V2,M2} R(37,34) { ! cc( skol4( X ) ), ! cd(
% 1.75/2.14 Y ) }.
% 1.75/2.14 parent0: (12121) {G1,W5,D3,L2,V2,M2} { ! cc( skol4( Y ) ), ! cd( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := Y
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12122) {G1,W5,D3,L2,V2,M2} { ! cd( Y ), ! cd( skol4( X ) )
% 1.75/2.14 }.
% 1.75/2.14 parent0[0]: (80) {G1,W5,D3,L2,V2,M2} R(37,34) { ! cc( skol4( X ) ), ! cd( Y
% 1.75/2.14 ) }.
% 1.75/2.14 parent1[1]: (35) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := skol4( X )
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (83) {G2,W5,D3,L2,V2,M2} R(80,35) { ! cd( X ), ! cd( skol4( Y
% 1.75/2.14 ) ) }.
% 1.75/2.14 parent0: (12122) {G1,W5,D3,L2,V2,M2} { ! cd( Y ), ! cd( skol4( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := Y
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 factor: (12124) {G2,W3,D3,L1,V1,M1} { ! cd( skol4( X ) ) }.
% 1.75/2.14 parent0[0, 1]: (83) {G2,W5,D3,L2,V2,M2} R(80,35) { ! cd( X ), ! cd( skol4(
% 1.75/2.14 Y ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol4( X )
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (84) {G3,W3,D3,L1,V1,M1} F(83) { ! cd( skol4( X ) ) }.
% 1.75/2.14 parent0: (12124) {G2,W3,D3,L1,V1,M1} { ! cd( skol4( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12125) {G1,W3,D3,L1,V1,M1} { cd( skol3( X ) ) }.
% 1.75/2.14 parent0[0]: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha1( X ), cd( skol3( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 parent1[0]: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (92) {G2,W3,D3,L1,V1,M1} R(31,71) { cd( skol3( X ) ) }.
% 1.75/2.14 parent0: (12125) {G1,W3,D3,L1,V1,M1} { cd( skol3( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12126) {G1,W5,D3,L2,V2,M2} { alpha2( skol2( X ) ), ! alpha5(
% 1.75/2.14 Y ) }.
% 1.75/2.14 parent0[0]: (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.75/2.14 parent1[1]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol2( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol2( X )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := Y
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (117) {G1,W5,D3,L2,V2,M2} R(28,34) { ! alpha5( X ), alpha2(
% 1.75/2.14 skol2( Y ) ) }.
% 1.75/2.14 parent0: (12126) {G1,W5,D3,L2,V2,M2} { alpha2( skol2( X ) ), ! alpha5( Y )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := Y
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 1
% 1.75/2.14 1 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12127) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 1.75/2.14 parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.75/2.14 parent1[1]: (47) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := Y
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (127) {G1,W6,D2,L2,V2,M2} R(44,47) { rinvR( X, Y ), ! rf( Y, X
% 1.75/2.14 ) }.
% 1.75/2.14 parent0: (12127) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := Y
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12128) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y )
% 1.75/2.14 }.
% 1.75/2.14 parent0[1]: (127) {G1,W6,D2,L2,V2,M2} R(44,47) { rinvR( X, Y ), ! rf( Y, X
% 1.75/2.14 ) }.
% 1.75/2.14 parent1[1]: (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (139) {G2,W6,D2,L2,V2,M2} R(41,127) { ! rinvF( X, Y ), rinvR(
% 1.75/2.14 X, Y ) }.
% 1.75/2.14 parent0: (12128) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 1
% 1.75/2.14 1 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12129) {G1,W5,D2,L2,V1,M2} { ! rinvR( i2003_11_14_17_19_35232
% 1.75/2.14 , X ), alpha5( X ) }.
% 1.75/2.14 parent0[0]: (25) {G0,W7,D2,L3,V2,M3} I { ! alpha4( X ), ! rinvR( X, Y ),
% 1.75/2.14 alpha5( Y ) }.
% 1.75/2.14 parent1[0]: (59) {G2,W2,D2,L1,V0,M1} R(55,22) { alpha4(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (178) {G3,W5,D2,L2,V1,M2} R(25,59) { ! rinvR(
% 1.75/2.14 i2003_11_14_17_19_35232, X ), alpha5( X ) }.
% 1.75/2.14 parent0: (12129) {G1,W5,D2,L2,V1,M2} { ! rinvR( i2003_11_14_17_19_35232, X
% 1.75/2.14 ), alpha5( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12130) {G3,W5,D2,L2,V1,M2} { alpha5( X ), ! rinvF(
% 1.75/2.14 i2003_11_14_17_19_35232, X ) }.
% 1.75/2.14 parent0[0]: (178) {G3,W5,D2,L2,V1,M2} R(25,59) { ! rinvR(
% 1.75/2.14 i2003_11_14_17_19_35232, X ), alpha5( X ) }.
% 1.75/2.14 parent1[1]: (139) {G2,W6,D2,L2,V2,M2} R(41,127) { ! rinvF( X, Y ), rinvR( X
% 1.75/2.14 , Y ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (181) {G4,W5,D2,L2,V1,M2} R(178,139) { alpha5( X ), ! rinvF(
% 1.75/2.14 i2003_11_14_17_19_35232, X ) }.
% 1.75/2.14 parent0: (12130) {G3,W5,D2,L2,V1,M2} { alpha5( X ), ! rinvF(
% 1.75/2.14 i2003_11_14_17_19_35232, X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12132) {G1,W5,D3,L2,V0,M2} { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), ! alpha5( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0[1]: (181) {G4,W5,D2,L2,V1,M2} R(178,139) { alpha5( X ), ! rinvF(
% 1.75/2.14 i2003_11_14_17_19_35232, X ) }.
% 1.75/2.14 parent1[1]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol2( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol2( i2003_11_14_17_19_35232 )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (234) {G5,W5,D3,L2,V0,M2} R(29,181) { ! alpha5(
% 1.75/2.14 i2003_11_14_17_19_35232 ), alpha5( skol2( i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0: (12132) {G1,W5,D3,L2,V0,M2} { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), ! alpha5( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 1
% 1.75/2.14 1 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12133) {G1,W6,D3,L2,V2,M2} { ! rinvF( X, skol3( Y ) ), alpha5
% 1.75/2.14 ( X ) }.
% 1.75/2.14 parent0[1]: (30) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha5
% 1.75/2.14 ( X ) }.
% 1.75/2.14 parent1[0]: (92) {G2,W3,D3,L1,V1,M1} R(31,71) { cd( skol3( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := skol3( Y )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := Y
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (271) {G3,W6,D3,L2,V2,M2} R(30,92) { ! rinvF( X, skol3( Y ) )
% 1.75/2.14 , alpha5( X ) }.
% 1.75/2.14 parent0: (12133) {G1,W6,D3,L2,V2,M2} { ! rinvF( X, skol3( Y ) ), alpha5( X
% 1.75/2.14 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12134) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha1( X ) }.
% 1.75/2.14 parent0[0]: (271) {G3,W6,D3,L2,V2,M2} R(30,92) { ! rinvF( X, skol3( Y ) ),
% 1.75/2.14 alpha5( X ) }.
% 1.75/2.14 parent1[1]: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol3( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (298) {G4,W4,D2,L2,V1,M2} R(32,271) { ! alpha1( X ), alpha5( X
% 1.75/2.14 ) }.
% 1.75/2.14 parent0: (12134) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha1( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 1
% 1.75/2.14 1 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12135) {G1,W5,D3,L2,V0,M2} { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), ! alpha1( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0[1]: (181) {G4,W5,D2,L2,V1,M2} R(178,139) { alpha5( X ), ! rinvF(
% 1.75/2.14 i2003_11_14_17_19_35232, X ) }.
% 1.75/2.14 parent1[1]: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), rinvF( X, skol3( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol3( i2003_11_14_17_19_35232 )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12136) {G2,W3,D3,L1,V0,M1} { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0[1]: (12135) {G1,W5,D3,L2,V0,M2} { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), ! alpha1( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent1[0]: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (299) {G5,W3,D3,L1,V0,M1} R(32,181);r(71) { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0: (12136) {G2,W3,D3,L1,V0,M1} { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12137) {G2,W3,D3,L1,V1,M1} { alpha2( skol2( X ) ) }.
% 1.75/2.14 parent0[0]: (117) {G1,W5,D3,L2,V2,M2} R(28,34) { ! alpha5( X ), alpha2(
% 1.75/2.14 skol2( Y ) ) }.
% 1.75/2.14 parent1[0]: (299) {G5,W3,D3,L1,V0,M1} R(32,181);r(71) { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol3( i2003_11_14_17_19_35232 )
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (311) {G6,W3,D3,L1,V1,M1} R(299,117) { alpha2( skol2( X ) )
% 1.75/2.14 }.
% 1.75/2.14 parent0: (12137) {G2,W3,D3,L1,V1,M1} { alpha2( skol2( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12138) {G1,W3,D3,L1,V1,M1} { cd( skol2( X ) ) }.
% 1.75/2.14 parent0[0]: (28) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol2( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 parent1[0]: (299) {G5,W3,D3,L1,V0,M1} R(32,181);r(71) { alpha5( skol3(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol3( i2003_11_14_17_19_35232 )
% 1.75/2.14 Y := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (314) {G6,W3,D3,L1,V1,M1} R(299,28) { cd( skol2( X ) ) }.
% 1.75/2.14 parent0: (12138) {G1,W3,D3,L1,V1,M1} { cd( skol2( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12139) {G1,W7,D3,L3,V1,M3} { ! cd( skol2( X ) ), alpha1( X )
% 1.75/2.14 , ! alpha5( X ) }.
% 1.75/2.14 parent0[0]: (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha1
% 1.75/2.14 ( X ) }.
% 1.75/2.14 parent1[1]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol2( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := skol2( X )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12140) {G2,W4,D2,L2,V1,M2} { alpha1( X ), ! alpha5( X ) }.
% 1.75/2.14 parent0[0]: (12139) {G1,W7,D3,L3,V1,M3} { ! cd( skol2( X ) ), alpha1( X )
% 1.75/2.14 , ! alpha5( X ) }.
% 1.75/2.14 parent1[0]: (314) {G6,W3,D3,L1,V1,M1} R(299,28) { cd( skol2( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (318) {G7,W4,D2,L2,V1,M2} R(33,29);r(314) { alpha1( X ), !
% 1.75/2.14 alpha5( X ) }.
% 1.75/2.14 parent0: (12140) {G2,W4,D2,L2,V1,M2} { alpha1( X ), ! alpha5( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12141) {G5,W5,D3,L2,V0,M2} { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), ! alpha1( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent0[0]: (234) {G5,W5,D3,L2,V0,M2} R(29,181) { ! alpha5(
% 1.75/2.14 i2003_11_14_17_19_35232 ), alpha5( skol2( i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent1[1]: (298) {G4,W4,D2,L2,V1,M2} R(32,271) { ! alpha1( X ), alpha5( X
% 1.75/2.14 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := i2003_11_14_17_19_35232
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12142) {G2,W3,D3,L1,V0,M1} { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0[1]: (12141) {G5,W5,D3,L2,V0,M2} { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), ! alpha1( i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 parent1[0]: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.75/2.14 i2003_11_14_17_19_35232 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (350) {G6,W3,D3,L1,V0,M1} R(298,234);r(71) { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0: (12142) {G2,W3,D3,L1,V0,M1} { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12143) {G1,W6,D3,L2,V1,M2} { rinvF( X, skol2( X ) ), ! alpha1
% 1.75/2.14 ( X ) }.
% 1.75/2.14 parent0[0]: (29) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol2( X
% 1.75/2.14 ) ) }.
% 1.75/2.14 parent1[1]: (298) {G4,W4,D2,L2,V1,M2} R(32,271) { ! alpha1( X ), alpha5( X
% 1.75/2.14 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (351) {G5,W6,D3,L2,V1,M2} R(298,29) { ! alpha1( X ), rinvF( X
% 1.75/2.14 , skol2( X ) ) }.
% 1.75/2.14 parent0: (12143) {G1,W6,D3,L2,V1,M2} { rinvF( X, skol2( X ) ), ! alpha1( X
% 1.75/2.14 ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 1
% 1.75/2.14 1 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12144) {G7,W3,D3,L1,V0,M1} { alpha1( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0[1]: (318) {G7,W4,D2,L2,V1,M2} R(33,29);r(314) { alpha1( X ), !
% 1.75/2.14 alpha5( X ) }.
% 1.75/2.14 parent1[0]: (350) {G6,W3,D3,L1,V0,M1} R(298,234);r(71) { alpha5( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol2( i2003_11_14_17_19_35232 )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (357) {G8,W3,D3,L1,V0,M1} R(350,318) { alpha1( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0: (12144) {G7,W3,D3,L1,V0,M1} { alpha1( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12145) {G1,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol4( X ) = Y, !
% 1.75/2.14 alpha2( X ) }.
% 1.75/2.14 parent0[0]: (40) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 1.75/2.14 }.
% 1.75/2.14 parent1[1]: (38) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol4( X ) )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol4( X )
% 1.75/2.14 Y := Y
% 1.75/2.14 Z := X
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (381) {G1,W9,D3,L3,V2,M3} R(40,38) { ! rf( X, Y ), skol4( X )
% 1.75/2.14 = Y, ! alpha2( X ) }.
% 1.75/2.14 parent0: (12145) {G1,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol4( X ) = Y, !
% 1.75/2.14 alpha2( X ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := Y
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 0
% 1.75/2.14 1 ==> 1
% 1.75/2.14 2 ==> 2
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12147) {G1,W6,D3,L2,V1,M2} { rf( skol2( X ), X ), ! alpha1( X
% 1.75/2.14 ) }.
% 1.75/2.14 parent0[0]: (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.75/2.14 parent1[1]: (351) {G5,W6,D3,L2,V1,M2} R(298,29) { ! alpha1( X ), rinvF( X,
% 1.75/2.14 skol2( X ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 Y := skol2( X )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (803) {G6,W6,D3,L2,V1,M2} R(351,41) { ! alpha1( X ), rf( skol2
% 1.75/2.14 ( X ), X ) }.
% 1.75/2.14 parent0: (12147) {G1,W6,D3,L2,V1,M2} { rf( skol2( X ), X ), ! alpha1( X )
% 1.75/2.14 }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := X
% 1.75/2.14 end
% 1.75/2.14 permutation0:
% 1.75/2.14 0 ==> 1
% 1.75/2.14 1 ==> 0
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 resolution: (12148) {G7,W6,D4,L1,V0,M1} { rf( skol2( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ), skol2( i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 parent0[0]: (803) {G6,W6,D3,L2,V1,M2} R(351,41) { ! alpha1( X ), rf( skol2
% 1.75/2.14 ( X ), X ) }.
% 1.75/2.14 parent1[0]: (357) {G8,W3,D3,L1,V0,M1} R(350,318) { alpha1( skol2(
% 1.75/2.14 i2003_11_14_17_19_35232 ) ) }.
% 1.75/2.14 substitution0:
% 1.75/2.14 X := skol2( i2003_11_14_17_19_35232 )
% 1.75/2.14 end
% 1.75/2.14 substitution1:
% 1.75/2.14 end
% 1.75/2.14
% 1.75/2.14 subsumption: (889) {G9,W6,D4,L1,V0,M1} R(803,357) { rf( skol2( skol2(
% 64.30/64.69 i2003_11_14_17_19_35232 ) ), skol2( i2003_11_14_17_19_35232 ) ) }.
% 64.30/64.69 parent0: (12148) {G7,W6,D4,L1,V0,M1} { rf( skol2( skol2(
% 64.30/64.69 i2003_11_14_17_19_35232 ) ), skol2( i2003_11_14_17_19_35232 ) ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 end
% 64.30/64.69 permutation0:
% 64.30/64.69 0 ==> 0
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 *** allocated 256285 integers for termspace/termends
% 64.30/64.69 *** allocated 15000 integers for justifications
% 64.30/64.69 *** allocated 22500 integers for justifications
% 64.30/64.69 *** allocated 33750 integers for justifications
% 64.30/64.69 *** allocated 50625 integers for justifications
% 64.30/64.69 *** allocated 75937 integers for justifications
% 64.30/64.69 *** allocated 384427 integers for termspace/termends
% 64.30/64.69 *** allocated 113905 integers for justifications
% 64.30/64.69 *** allocated 170857 integers for justifications
% 64.30/64.69 *** allocated 864960 integers for clauses
% 64.30/64.69 *** allocated 576640 integers for termspace/termends
% 64.30/64.69 *** allocated 256285 integers for justifications
% 64.30/64.69 *** allocated 864960 integers for termspace/termends
% 64.30/64.69 *** allocated 384427 integers for justifications
% 64.30/64.69 *** allocated 576640 integers for justifications
% 64.30/64.69 eqswap: (12149) {G1,W9,D3,L3,V2,M3} { Y = skol4( X ), ! rf( X, Y ), !
% 64.30/64.69 alpha2( X ) }.
% 64.30/64.69 parent0[1]: (381) {G1,W9,D3,L3,V2,M3} R(40,38) { ! rf( X, Y ), skol4( X ) =
% 64.30/64.69 Y, ! alpha2( X ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 X := X
% 64.30/64.69 Y := Y
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 paramod: (12150) {G2,W9,D3,L3,V2,M3} { cd( skol4( Y ) ), ! rf( Y, skol2( X
% 64.30/64.69 ) ), ! alpha2( Y ) }.
% 64.30/64.69 parent0[0]: (12149) {G1,W9,D3,L3,V2,M3} { Y = skol4( X ), ! rf( X, Y ), !
% 64.30/64.69 alpha2( X ) }.
% 64.30/64.69 parent1[0; 1]: (314) {G6,W3,D3,L1,V1,M1} R(299,28) { cd( skol2( X ) ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 X := Y
% 64.30/64.69 Y := skol2( X )
% 64.30/64.69 end
% 64.30/64.69 substitution1:
% 64.30/64.69 X := X
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 resolution: (21575) {G3,W6,D3,L2,V2,M2} { ! rf( X, skol2( Y ) ), ! alpha2
% 64.30/64.69 ( X ) }.
% 64.30/64.69 parent0[0]: (84) {G3,W3,D3,L1,V1,M1} F(83) { ! cd( skol4( X ) ) }.
% 64.30/64.69 parent1[0]: (12150) {G2,W9,D3,L3,V2,M3} { cd( skol4( Y ) ), ! rf( Y, skol2
% 64.30/64.69 ( X ) ), ! alpha2( Y ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 X := X
% 64.30/64.69 end
% 64.30/64.69 substitution1:
% 64.30/64.69 X := Y
% 64.30/64.69 Y := X
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 subsumption: (11748) {G7,W6,D3,L2,V2,M2} P(381,314);r(84) { ! rf( Y, skol2
% 64.30/64.69 ( X ) ), ! alpha2( Y ) }.
% 64.30/64.69 parent0: (21575) {G3,W6,D3,L2,V2,M2} { ! rf( X, skol2( Y ) ), ! alpha2( X
% 64.30/64.69 ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 X := Y
% 64.30/64.69 Y := X
% 64.30/64.69 end
% 64.30/64.69 permutation0:
% 64.30/64.69 0 ==> 0
% 64.30/64.69 1 ==> 1
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 resolution: (21576) {G8,W4,D4,L1,V0,M1} { ! alpha2( skol2( skol2(
% 64.30/64.69 i2003_11_14_17_19_35232 ) ) ) }.
% 64.30/64.69 parent0[0]: (11748) {G7,W6,D3,L2,V2,M2} P(381,314);r(84) { ! rf( Y, skol2(
% 64.30/64.69 X ) ), ! alpha2( Y ) }.
% 64.30/64.69 parent1[0]: (889) {G9,W6,D4,L1,V0,M1} R(803,357) { rf( skol2( skol2(
% 64.30/64.69 i2003_11_14_17_19_35232 ) ), skol2( i2003_11_14_17_19_35232 ) ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 X := i2003_11_14_17_19_35232
% 64.30/64.69 Y := skol2( skol2( i2003_11_14_17_19_35232 ) )
% 64.30/64.69 end
% 64.30/64.69 substitution1:
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 resolution: (21577) {G7,W0,D0,L0,V0,M0} { }.
% 64.30/64.69 parent0[0]: (21576) {G8,W4,D4,L1,V0,M1} { ! alpha2( skol2( skol2(
% 64.30/64.69 i2003_11_14_17_19_35232 ) ) ) }.
% 64.30/64.69 parent1[0]: (311) {G6,W3,D3,L1,V1,M1} R(299,117) { alpha2( skol2( X ) ) }.
% 64.30/64.69 substitution0:
% 64.30/64.69 end
% 64.30/64.69 substitution1:
% 64.30/64.69 X := skol2( i2003_11_14_17_19_35232 )
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 subsumption: (11776) {G10,W0,D0,L0,V0,M0} R(11748,889);r(311) { }.
% 64.30/64.69 parent0: (21577) {G7,W0,D0,L0,V0,M0} { }.
% 64.30/64.69 substitution0:
% 64.30/64.69 end
% 64.30/64.69 permutation0:
% 64.30/64.69 end
% 64.30/64.69
% 64.30/64.69 Proof check complete!
% 64.30/64.69
% 64.30/64.69 Memory use:
% 64.30/64.69
% 64.30/64.69 space for terms: 153373
% 64.30/64.69 space for clauses: 452444
% 64.30/64.69
% 64.30/64.69
% 64.30/64.69 clauses generated: 50312
% 64.30/64.69 clauses kept: 11777
% 64.30/64.69 clauses selected: 822
% 64.30/64.69 clauses deleted: 114
% 64.30/64.69 clauses inuse deleted: 29
% 64.30/64.69
% 64.30/64.69 subsentry: 20122407
% 64.30/64.69 literals s-matched: 12347296
% 64.30/64.69 literals matched: 9771670
% 64.30/64.69 full subsumption: 9676380
% 64.30/64.69
% 64.30/64.69 checksum: -493665198
% 64.30/64.69
% 64.30/64.69
% 64.30/64.69 Bliksem ended
%------------------------------------------------------------------------------