TSTP Solution File: KRS083+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 1.54s 1.96s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 15:13:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.54/1.96 *** allocated 10000 integers for termspace/termends
% 1.54/1.96 *** allocated 10000 integers for clauses
% 1.54/1.96 *** allocated 10000 integers for justifications
% 1.54/1.96 Bliksem 1.12
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Automatic Strategy Selection
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Clauses:
% 1.54/1.96
% 1.54/1.96 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 1.54/1.96 { ! Y = X, ! cc( Y ), cc( X ) }.
% 1.54/1.96 { ! Y = X, ! cd( Y ), cd( X ) }.
% 1.54/1.96 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 1.54/1.96 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 1.54/1.96 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.54/1.96 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.54/1.96 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.54/1.96 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.54/1.96 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 1.54/1.96 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 1.54/1.96 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 1.54/1.96 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 1.54/1.96 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 1.54/1.96 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 1.54/1.96 { cowlThing( X ) }.
% 1.54/1.96 { ! cowlNothing( X ) }.
% 1.54/1.96 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.54/1.96 { xsd_integer( X ), xsd_string( X ) }.
% 1.54/1.96 { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.54/1.96 { ! cUnsatisfiable( X ), alpha3( X ) }.
% 1.54/1.96 { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable( X ) }.
% 1.54/1.96 { ! alpha3( X ), ! cc( X ) }.
% 1.54/1.96 { ! alpha3( X ), alpha5( X ) }.
% 1.54/1.96 { cc( X ), ! alpha5( X ), alpha3( X ) }.
% 1.54/1.96 { ! alpha5( X ), cd( skol1( Y ) ) }.
% 1.54/1.96 { ! alpha5( X ), rinvF( X, skol1( X ) ) }.
% 1.54/1.96 { ! rinvF( X, Y ), ! cd( Y ), alpha5( X ) }.
% 1.54/1.96 { ! alpha1( X ), ! rinvR( X, Y ), alpha4( Y ) }.
% 1.54/1.96 { ! alpha4( skol2( Y ) ), alpha1( X ) }.
% 1.54/1.96 { rinvR( X, skol2( X ) ), alpha1( X ) }.
% 1.54/1.96 { ! alpha4( X ), cd( skol3( Y ) ) }.
% 1.54/1.96 { ! alpha4( X ), rinvF( X, skol3( X ) ) }.
% 1.54/1.96 { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 1.54/1.96 { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 { ! cd( X ), cc( X ) }.
% 1.54/1.96 { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 1.54/1.96 { ! alpha2( X ), ! cc( skol4( Y ) ) }.
% 1.54/1.96 { ! alpha2( X ), rf( X, skol4( X ) ) }.
% 1.54/1.96 { ! rf( X, Y ), cc( Y ), alpha2( X ) }.
% 1.54/1.96 { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 1.54/1.96 { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.54/1.96 { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.54/1.96 { ! rinvR( X, Y ), rr( Y, X ) }.
% 1.54/1.96 { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.54/1.96 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 1.54/1.96 { cUnsatisfiable( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 { ! rf( X, Y ), rr( X, Y ) }.
% 1.54/1.96
% 1.54/1.96 percentage equality = 0.135593, percentage horn = 0.916667
% 1.54/1.96 This is a problem with some equality
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Options Used:
% 1.54/1.96
% 1.54/1.96 useres = 1
% 1.54/1.96 useparamod = 1
% 1.54/1.96 useeqrefl = 1
% 1.54/1.96 useeqfact = 1
% 1.54/1.96 usefactor = 1
% 1.54/1.96 usesimpsplitting = 0
% 1.54/1.96 usesimpdemod = 5
% 1.54/1.96 usesimpres = 3
% 1.54/1.96
% 1.54/1.96 resimpinuse = 1000
% 1.54/1.96 resimpclauses = 20000
% 1.54/1.96 substype = eqrewr
% 1.54/1.96 backwardsubs = 1
% 1.54/1.96 selectoldest = 5
% 1.54/1.96
% 1.54/1.96 litorderings [0] = split
% 1.54/1.96 litorderings [1] = extend the termordering, first sorting on arguments
% 1.54/1.96
% 1.54/1.96 termordering = kbo
% 1.54/1.96
% 1.54/1.96 litapriori = 0
% 1.54/1.96 termapriori = 1
% 1.54/1.96 litaposteriori = 0
% 1.54/1.96 termaposteriori = 0
% 1.54/1.96 demodaposteriori = 0
% 1.54/1.96 ordereqreflfact = 0
% 1.54/1.96
% 1.54/1.96 litselect = negord
% 1.54/1.96
% 1.54/1.96 maxweight = 15
% 1.54/1.96 maxdepth = 30000
% 1.54/1.96 maxlength = 115
% 1.54/1.96 maxnrvars = 195
% 1.54/1.96 excuselevel = 1
% 1.54/1.96 increasemaxweight = 1
% 1.54/1.96
% 1.54/1.96 maxselected = 10000000
% 1.54/1.96 maxnrclauses = 10000000
% 1.54/1.96
% 1.54/1.96 showgenerated = 0
% 1.54/1.96 showkept = 0
% 1.54/1.96 showselected = 0
% 1.54/1.96 showdeleted = 0
% 1.54/1.96 showresimp = 1
% 1.54/1.96 showstatus = 2000
% 1.54/1.96
% 1.54/1.96 prologoutput = 0
% 1.54/1.96 nrgoals = 5000000
% 1.54/1.96 totalproof = 1
% 1.54/1.96
% 1.54/1.96 Symbols occurring in the translation:
% 1.54/1.96
% 1.54/1.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.54/1.96 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 1.54/1.96 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.54/1.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.54/1.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.54/1.96 cUnsatisfiable [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.54/1.96 cc [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.54/1.96 cd [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.54/1.96 cowlNothing [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.54/1.96 cowlThing [41, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.54/1.96 rf [43, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.54/1.96 rinvF [44, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.54/1.96 rinvR [45, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.54/1.96 rr [46, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.54/1.96 xsd_integer [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.54/1.96 xsd_string [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.54/1.96 i2003_11_14_17_19_32337 [54, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.54/1.96 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 1.54/1.96 alpha2 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 1.54/1.96 alpha3 [57, 1] (w:1, o:29, a:1, s:1, b:1),
% 1.54/1.96 alpha4 [58, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.54/1.96 alpha5 [59, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.54/1.96 skol1 [60, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.54/1.96 skol2 [61, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.54/1.96 skol3 [62, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.54/1.96 skol4 [63, 1] (w:1, o:35, a:1, s:1, b:1).
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Starting Search:
% 1.54/1.96
% 1.54/1.96 *** allocated 15000 integers for clauses
% 1.54/1.96 *** allocated 22500 integers for clauses
% 1.54/1.96 *** allocated 33750 integers for clauses
% 1.54/1.96 *** allocated 50625 integers for clauses
% 1.54/1.96 *** allocated 15000 integers for termspace/termends
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 75937 integers for clauses
% 1.54/1.96 *** allocated 22500 integers for termspace/termends
% 1.54/1.96 *** allocated 33750 integers for termspace/termends
% 1.54/1.96 *** allocated 113905 integers for clauses
% 1.54/1.96
% 1.54/1.96 Intermediate Status:
% 1.54/1.96 Generated: 7120
% 1.54/1.96 Kept: 2009
% 1.54/1.96 Inuse: 281
% 1.54/1.96 Deleted: 32
% 1.54/1.96 Deletedinuse: 9
% 1.54/1.96
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 50625 integers for termspace/termends
% 1.54/1.96 *** allocated 170857 integers for clauses
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 75937 integers for termspace/termends
% 1.54/1.96
% 1.54/1.96 Intermediate Status:
% 1.54/1.96 Generated: 16238
% 1.54/1.96 Kept: 4028
% 1.54/1.96 Inuse: 433
% 1.54/1.96 Deleted: 32
% 1.54/1.96 Deletedinuse: 9
% 1.54/1.96
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 256285 integers for clauses
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 113905 integers for termspace/termends
% 1.54/1.96
% 1.54/1.96 Intermediate Status:
% 1.54/1.96 Generated: 24747
% 1.54/1.96 Kept: 6030
% 1.54/1.96 Inuse: 597
% 1.54/1.96 Deleted: 38
% 1.54/1.96 Deletedinuse: 9
% 1.54/1.96
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 384427 integers for clauses
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Intermediate Status:
% 1.54/1.96 Generated: 34513
% 1.54/1.96 Kept: 8032
% 1.54/1.96 Inuse: 713
% 1.54/1.96 Deleted: 40
% 1.54/1.96 Deletedinuse: 9
% 1.54/1.96
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 170857 integers for termspace/termends
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96 *** allocated 576640 integers for clauses
% 1.54/1.96
% 1.54/1.96 Intermediate Status:
% 1.54/1.96 Generated: 45933
% 1.54/1.96 Kept: 10564
% 1.54/1.96 Inuse: 790
% 1.54/1.96 Deleted: 48
% 1.54/1.96 Deletedinuse: 17
% 1.54/1.96
% 1.54/1.96 Resimplifying inuse:
% 1.54/1.96 Done
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Bliksems!, er is een bewijs:
% 1.54/1.96 % SZS status Unsatisfiable
% 1.54/1.96 % SZS output start Refutation
% 1.54/1.96
% 1.54/1.96 (15) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 1.54/1.96 (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.54/1.96 (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X ) }.
% 1.54/1.96 (23) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 1.54/1.96 (25) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol1( Y ) ) }.
% 1.54/1.96 (26) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol1( X ) ) }.
% 1.54/1.96 (27) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha5( X ) }.
% 1.54/1.96 (28) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ), alpha4( Y )
% 1.54/1.96 }.
% 1.54/1.96 (31) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol3( Y ) ) }.
% 1.54/1.96 (32) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol3( X ) ) }.
% 1.54/1.96 (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 1.54/1.96 (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 (35) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 1.54/1.96 (37) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ! cc( skol4( Y ) ) }.
% 1.54/1.96 (38) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol4( X ) ) }.
% 1.54/1.96 (40) {G1,W9,D2,L3,V3,M3} I;r(15) { ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 1.54/1.96 (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.54/1.96 (44) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.54/1.96 (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 (47) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 1.54/1.96 (55) {G1,W2,D2,L1,V0,M1} R(20,46) { alpha3( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 (61) {G2,W2,D2,L1,V0,M1} R(55,23) { alpha5( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 (80) {G1,W5,D3,L2,V2,M2} R(37,34) { ! cc( skol4( X ) ), ! cd( Y ) }.
% 1.54/1.96 (83) {G2,W5,D3,L2,V2,M2} R(80,35) { ! cd( X ), ! cd( skol4( Y ) ) }.
% 1.54/1.96 (84) {G3,W3,D3,L1,V1,M1} F(83) { ! cd( skol4( X ) ) }.
% 1.54/1.96 (94) {G1,W5,D3,L2,V2,M2} R(31,34) { ! alpha4( X ), alpha2( skol3( Y ) ) }.
% 1.54/1.96 (109) {G3,W3,D3,L1,V1,M1} R(25,61) { cd( skol1( X ) ) }.
% 1.54/1.96 (134) {G1,W6,D2,L2,V2,M2} R(44,47) { rinvR( X, Y ), ! rf( Y, X ) }.
% 1.54/1.96 (145) {G2,W6,D2,L2,V2,M2} R(41,134) { ! rinvF( X, Y ), rinvR( X, Y ) }.
% 1.54/1.96 (173) {G3,W4,D3,L1,V0,M1} R(26,61) { rinvF( i2003_11_14_17_19_32337, skol1
% 1.54/1.96 ( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 (176) {G4,W4,D3,L1,V0,M1} R(173,145) { rinvR( i2003_11_14_17_19_32337,
% 1.54/1.96 skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 (204) {G5,W3,D3,L1,V0,M1} R(28,176);r(71) { alpha4( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 (218) {G2,W5,D2,L2,V1,M2} R(28,71) { ! rinvR( i2003_11_14_17_19_32337, X )
% 1.54/1.96 , alpha4( X ) }.
% 1.54/1.96 (221) {G6,W3,D3,L1,V1,M1} R(204,94) { alpha2( skol3( X ) ) }.
% 1.54/1.96 (224) {G6,W3,D3,L1,V1,M1} R(204,31) { cd( skol3( X ) ) }.
% 1.54/1.96 (243) {G7,W4,D2,L2,V1,M2} R(32,27);r(224) { ! alpha4( X ), alpha5( X ) }.
% 1.54/1.96 (249) {G8,W5,D2,L2,V1,M2} R(243,218) { alpha5( X ), ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 (257) {G9,W5,D2,L2,V1,M2} R(249,145) { alpha5( X ), ! rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 (269) {G4,W2,D2,L1,V0,M1} R(33,173);r(109) { alpha4(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 (270) {G4,W4,D2,L2,V1,M2} R(33,26);r(109) { alpha4( X ), ! alpha5( X ) }.
% 1.54/1.96 (277) {G5,W4,D3,L1,V0,M1} R(269,32) { rinvF( i2003_11_14_17_19_32337, skol3
% 1.54/1.96 ( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 (278) {G5,W6,D3,L2,V1,M2} R(270,32) { ! alpha5( X ), rinvF( X, skol3( X ) )
% 1.54/1.96 }.
% 1.54/1.96 (298) {G10,W3,D3,L1,V0,M1} R(277,257) { alpha5( skol3(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 (329) {G2,W9,D3,L3,V2,M3} R(40,38) { ! rf( X, Y ), skol4( X ) = Y, ! alpha2
% 1.54/1.96 ( X ) }.
% 1.54/1.96 (881) {G6,W6,D3,L2,V1,M2} R(278,41) { ! alpha5( X ), rf( skol3( X ), X )
% 1.54/1.96 }.
% 1.54/1.96 (959) {G11,W6,D4,L1,V0,M1} R(881,298) { rf( skol3( skol3(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ), skol3( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 (10543) {G7,W6,D3,L2,V2,M2} P(329,224);r(84) { ! rf( Y, skol3( X ) ), !
% 1.54/1.96 alpha2( Y ) }.
% 1.54/1.96 (10575) {G12,W0,D0,L0,V0,M0} R(10543,959);r(221) { }.
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 % SZS output end Refutation
% 1.54/1.96 found a proof!
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Unprocessed initial clauses:
% 1.54/1.96
% 1.54/1.96 (10577) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 1.54/1.96 cUnsatisfiable( X ) }.
% 1.54/1.96 (10578) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cc( Y ), cc( X ) }.
% 1.54/1.96 (10579) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cd( Y ), cd( X ) }.
% 1.54/1.96 (10580) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X
% 1.54/1.96 ) }.
% 1.54/1.96 (10581) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X )
% 1.54/1.96 }.
% 1.54/1.96 (10582) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 1.54/1.96 (10583) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 1.54/1.96 (10584) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 1.54/1.96 (10585) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 1.54/1.96 (10586) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 1.54/1.96 (10587) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 1.54/1.96 (10588) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 1.54/1.96 (10589) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 1.54/1.96 (10590) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X
% 1.54/1.96 ) }.
% 1.54/1.96 (10591) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 1.54/1.96 }.
% 1.54/1.96 (10592) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 1.54/1.96 (10593) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 1.54/1.96 (10594) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 1.54/1.96 (10595) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 1.54/1.96 (10596) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X ) }.
% 1.54/1.96 (10597) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X ) }.
% 1.54/1.96 (10598) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha3( X ), cUnsatisfiable
% 1.54/1.96 ( X ) }.
% 1.54/1.96 (10599) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), ! cc( X ) }.
% 1.54/1.96 (10600) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 1.54/1.96 (10601) {G0,W6,D2,L3,V1,M3} { cc( X ), ! alpha5( X ), alpha3( X ) }.
% 1.54/1.96 (10602) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cd( skol1( Y ) ) }.
% 1.54/1.96 (10603) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rinvF( X, skol1( X ) ) }.
% 1.54/1.96 (10604) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha5( X ) }.
% 1.54/1.96 (10605) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! rinvR( X, Y ), alpha4( Y )
% 1.54/1.96 }.
% 1.54/1.96 (10606) {G0,W5,D3,L2,V2,M2} { ! alpha4( skol2( Y ) ), alpha1( X ) }.
% 1.54/1.96 (10607) {G0,W6,D3,L2,V1,M2} { rinvR( X, skol2( X ) ), alpha1( X ) }.
% 1.54/1.96 (10608) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cd( skol3( Y ) ) }.
% 1.54/1.96 (10609) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvF( X, skol3( X ) ) }.
% 1.54/1.96 (10610) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha4( X ) }.
% 1.54/1.96 (10611) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 (10612) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 1.54/1.96 (10613) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! cc( X ), cd( X ) }.
% 1.54/1.96 (10614) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ! cc( skol4( Y ) ) }.
% 1.54/1.96 (10615) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol4( X ) ) }.
% 1.54/1.96 (10616) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), cc( Y ), alpha2( X ) }.
% 1.54/1.96 (10617) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z
% 1.54/1.96 ), Y = Z }.
% 1.54/1.96 (10618) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.54/1.96 (10619) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 1.54/1.96 (10620) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 1.54/1.96 (10621) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.54/1.96 (10622) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 1.54/1.96 (10623) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_19_32337 )
% 1.54/1.96 }.
% 1.54/1.96 (10624) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 1.54/1.96
% 1.54/1.96
% 1.54/1.96 Total Proof:
% 1.54/1.96
% 1.54/1.96 subsumption: (15) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 1.54/1.96 parent0: (10592) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X
% 1.54/1.96 ) }.
% 1.54/1.96 parent0: (10596) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha1( X )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X
% 1.54/1.96 ) }.
% 1.54/1.96 parent0: (10597) {G0,W4,D2,L2,V1,M2} { ! cUnsatisfiable( X ), alpha3( X )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 1.54/1.96 parent0: (10600) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (25) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol1( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 parent0: (10602) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), cd( skol1( Y ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol1( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 parent0: (10603) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), rinvF( X, skol1( X )
% 1.54/1.96 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (27) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ),
% 1.54/1.96 alpha5( X ) }.
% 1.54/1.96 parent0: (10604) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha5
% 1.54/1.96 ( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 2 ==> 2
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (28) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ),
% 1.54/1.96 alpha4( Y ) }.
% 1.54/1.96 parent0: (10605) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! rinvR( X, Y ),
% 1.54/1.96 alpha4( Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 2 ==> 2
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol3( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 parent0: (10608) {G0,W5,D3,L2,V2,M2} { ! alpha4( X ), cd( skol3( Y ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol3( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 parent0: (10609) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), rinvF( X, skol3( X )
% 1.54/1.96 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ),
% 1.54/1.96 alpha4( X ) }.
% 1.54/1.96 parent0: (10610) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! cd( Y ), alpha4
% 1.54/1.96 ( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 2 ==> 2
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 parent0: (10611) {G0,W4,D2,L2,V1,M2} { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (35) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 1.54/1.96 parent0: (10612) {G0,W4,D2,L2,V1,M2} { ! cd( X ), cc( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (37) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ! cc( skol4( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 parent0: (10614) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ! cc( skol4( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (38) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol4( X )
% 1.54/1.96 ) }.
% 1.54/1.96 parent0: (10615) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rf( X, skol4( X ) )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10871) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y =
% 1.54/1.96 Z }.
% 1.54/1.96 parent0[0]: (10617) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y )
% 1.54/1.96 , ! rf( X, Z ), Y = Z }.
% 1.54/1.96 parent1[0]: (15) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 Z := Z
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (40) {G1,W9,D2,L3,V3,M3} I;r(15) { ! rf( X, Y ), ! rf( X, Z )
% 1.54/1.96 , Y = Z }.
% 1.54/1.96 parent0: (10871) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y = Z
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 Z := Z
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 2 ==> 2
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.54/1.96 parent0: (10618) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (44) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.54/1.96 parent0: (10621) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent0: (10623) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (47) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 1.54/1.96 parent0: (10624) {G0,W6,D2,L2,V2,M2} { ! rf( X, Y ), rr( X, Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10939) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_19_32337
% 1.54/1.96 ) }.
% 1.54/1.96 parent0[0]: (20) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha3( X )
% 1.54/1.96 }.
% 1.54/1.96 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (55) {G1,W2,D2,L1,V0,M1} R(20,46) { alpha3(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent0: (10939) {G1,W2,D2,L1,V0,M1} { alpha3( i2003_11_14_17_19_32337 )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10940) {G1,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_19_32337
% 1.54/1.96 ) }.
% 1.54/1.96 parent0[0]: (23) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha5( X ) }.
% 1.54/1.96 parent1[0]: (55) {G1,W2,D2,L1,V0,M1} R(20,46) { alpha3(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (61) {G2,W2,D2,L1,V0,M1} R(55,23) { alpha5(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent0: (10940) {G1,W2,D2,L1,V0,M1} { alpha5( i2003_11_14_17_19_32337 )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10941) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_32337
% 1.54/1.96 ) }.
% 1.54/1.96 parent0[0]: (19) {G0,W4,D2,L2,V1,M2} I { ! cUnsatisfiable( X ), alpha1( X )
% 1.54/1.96 }.
% 1.54/1.96 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent0: (10941) {G1,W2,D2,L1,V0,M1} { alpha1( i2003_11_14_17_19_32337 )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10942) {G1,W5,D3,L2,V2,M2} { ! cc( skol4( Y ) ), ! cd( X )
% 1.54/1.96 }.
% 1.54/1.96 parent0[0]: (37) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), ! cc( skol4( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 parent1[1]: (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (80) {G1,W5,D3,L2,V2,M2} R(37,34) { ! cc( skol4( X ) ), ! cd(
% 1.54/1.96 Y ) }.
% 1.54/1.96 parent0: (10942) {G1,W5,D3,L2,V2,M2} { ! cc( skol4( Y ) ), ! cd( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := Y
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10943) {G1,W5,D3,L2,V2,M2} { ! cd( Y ), ! cd( skol4( X ) )
% 1.54/1.96 }.
% 1.54/1.96 parent0[0]: (80) {G1,W5,D3,L2,V2,M2} R(37,34) { ! cc( skol4( X ) ), ! cd( Y
% 1.54/1.96 ) }.
% 1.54/1.96 parent1[1]: (35) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), cc( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := skol4( X )
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (83) {G2,W5,D3,L2,V2,M2} R(80,35) { ! cd( X ), ! cd( skol4( Y
% 1.54/1.96 ) ) }.
% 1.54/1.96 parent0: (10943) {G1,W5,D3,L2,V2,M2} { ! cd( Y ), ! cd( skol4( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := Y
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 factor: (10945) {G2,W3,D3,L1,V1,M1} { ! cd( skol4( X ) ) }.
% 1.54/1.96 parent0[0, 1]: (83) {G2,W5,D3,L2,V2,M2} R(80,35) { ! cd( X ), ! cd( skol4(
% 1.54/1.96 Y ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := skol4( X )
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (84) {G3,W3,D3,L1,V1,M1} F(83) { ! cd( skol4( X ) ) }.
% 1.54/1.96 parent0: (10945) {G2,W3,D3,L1,V1,M1} { ! cd( skol4( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10946) {G1,W5,D3,L2,V2,M2} { alpha2( skol3( X ) ), ! alpha4(
% 1.54/1.96 Y ) }.
% 1.54/1.96 parent0[0]: (34) {G0,W4,D2,L2,V1,M2} I { ! cd( X ), alpha2( X ) }.
% 1.54/1.96 parent1[1]: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol3( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := skol3( X )
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := Y
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (94) {G1,W5,D3,L2,V2,M2} R(31,34) { ! alpha4( X ), alpha2(
% 1.54/1.96 skol3( Y ) ) }.
% 1.54/1.96 parent0: (10946) {G1,W5,D3,L2,V2,M2} { alpha2( skol3( X ) ), ! alpha4( Y )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := Y
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 1
% 1.54/1.96 1 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10947) {G1,W3,D3,L1,V1,M1} { cd( skol1( X ) ) }.
% 1.54/1.96 parent0[0]: (25) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), cd( skol1( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 parent1[0]: (61) {G2,W2,D2,L1,V0,M1} R(55,23) { alpha5(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (109) {G3,W3,D3,L1,V1,M1} R(25,61) { cd( skol1( X ) ) }.
% 1.54/1.96 parent0: (10947) {G1,W3,D3,L1,V1,M1} { cd( skol1( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10948) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 1.54/1.96 parent0[0]: (44) {G0,W6,D2,L2,V2,M2} I { ! rr( Y, X ), rinvR( X, Y ) }.
% 1.54/1.96 parent1[1]: (47) {G0,W6,D2,L2,V2,M2} I { ! rf( X, Y ), rr( X, Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := Y
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (134) {G1,W6,D2,L2,V2,M2} R(44,47) { rinvR( X, Y ), ! rf( Y, X
% 1.54/1.96 ) }.
% 1.54/1.96 parent0: (10948) {G1,W6,D2,L2,V2,M2} { rinvR( Y, X ), ! rf( X, Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := Y
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10949) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y )
% 1.54/1.96 }.
% 1.54/1.96 parent0[1]: (134) {G1,W6,D2,L2,V2,M2} R(44,47) { rinvR( X, Y ), ! rf( Y, X
% 1.54/1.96 ) }.
% 1.54/1.96 parent1[1]: (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (145) {G2,W6,D2,L2,V2,M2} R(41,134) { ! rinvF( X, Y ), rinvR(
% 1.54/1.96 X, Y ) }.
% 1.54/1.96 parent0: (10949) {G1,W6,D2,L2,V2,M2} { rinvR( X, Y ), ! rinvF( X, Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := Y
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 1
% 1.54/1.96 1 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10950) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_19_32337,
% 1.54/1.96 skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol1( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 parent1[0]: (61) {G2,W2,D2,L1,V0,M1} R(55,23) { alpha5(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (173) {G3,W4,D3,L1,V0,M1} R(26,61) { rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0: (10950) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_19_32337,
% 1.54/1.96 skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10951) {G3,W4,D3,L1,V0,M1} { rinvR( i2003_11_14_17_19_32337,
% 1.54/1.96 skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0[0]: (145) {G2,W6,D2,L2,V2,M2} R(41,134) { ! rinvF( X, Y ), rinvR( X
% 1.54/1.96 , Y ) }.
% 1.54/1.96 parent1[0]: (173) {G3,W4,D3,L1,V0,M1} R(26,61) { rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 Y := skol1( i2003_11_14_17_19_32337 )
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (176) {G4,W4,D3,L1,V0,M1} R(173,145) { rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0: (10951) {G3,W4,D3,L1,V0,M1} { rinvR( i2003_11_14_17_19_32337,
% 1.54/1.96 skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10952) {G1,W5,D3,L2,V0,M2} { ! alpha1(
% 1.54/1.96 i2003_11_14_17_19_32337 ), alpha4( skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0[1]: (28) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ),
% 1.54/1.96 alpha4( Y ) }.
% 1.54/1.96 parent1[0]: (176) {G4,W4,D3,L1,V0,M1} R(173,145) { rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 Y := skol1( i2003_11_14_17_19_32337 )
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10953) {G2,W3,D3,L1,V0,M1} { alpha4( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0[0]: (10952) {G1,W5,D3,L2,V0,M2} { ! alpha1(
% 1.54/1.96 i2003_11_14_17_19_32337 ), alpha4( skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent1[0]: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (204) {G5,W3,D3,L1,V0,M1} R(28,176);r(71) { alpha4( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0: (10953) {G2,W3,D3,L1,V0,M1} { alpha4( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10954) {G1,W5,D2,L2,V1,M2} { ! rinvR( i2003_11_14_17_19_32337
% 1.54/1.96 , X ), alpha4( X ) }.
% 1.54/1.96 parent0[0]: (28) {G0,W7,D2,L3,V2,M3} I { ! alpha1( X ), ! rinvR( X, Y ),
% 1.54/1.96 alpha4( Y ) }.
% 1.54/1.96 parent1[0]: (71) {G1,W2,D2,L1,V0,M1} R(19,46) { alpha1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (218) {G2,W5,D2,L2,V1,M2} R(28,71) { ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ), alpha4( X ) }.
% 1.54/1.96 parent0: (10954) {G1,W5,D2,L2,V1,M2} { ! rinvR( i2003_11_14_17_19_32337, X
% 1.54/1.96 ), alpha4( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10955) {G2,W3,D3,L1,V1,M1} { alpha2( skol3( X ) ) }.
% 1.54/1.96 parent0[0]: (94) {G1,W5,D3,L2,V2,M2} R(31,34) { ! alpha4( X ), alpha2(
% 1.54/1.96 skol3( Y ) ) }.
% 1.54/1.96 parent1[0]: (204) {G5,W3,D3,L1,V0,M1} R(28,176);r(71) { alpha4( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := skol1( i2003_11_14_17_19_32337 )
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (221) {G6,W3,D3,L1,V1,M1} R(204,94) { alpha2( skol3( X ) ) }.
% 1.54/1.96 parent0: (10955) {G2,W3,D3,L1,V1,M1} { alpha2( skol3( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10956) {G1,W3,D3,L1,V1,M1} { cd( skol3( X ) ) }.
% 1.54/1.96 parent0[0]: (31) {G0,W5,D3,L2,V2,M2} I { ! alpha4( X ), cd( skol3( Y ) )
% 1.54/1.96 }.
% 1.54/1.96 parent1[0]: (204) {G5,W3,D3,L1,V0,M1} R(28,176);r(71) { alpha4( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := skol1( i2003_11_14_17_19_32337 )
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (224) {G6,W3,D3,L1,V1,M1} R(204,31) { cd( skol3( X ) ) }.
% 1.54/1.96 parent0: (10956) {G1,W3,D3,L1,V1,M1} { cd( skol3( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10957) {G1,W7,D3,L3,V1,M3} { ! cd( skol3( X ) ), alpha5( X )
% 1.54/1.96 , ! alpha4( X ) }.
% 1.54/1.96 parent0[0]: (27) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha5
% 1.54/1.96 ( X ) }.
% 1.54/1.96 parent1[1]: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol3( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := skol3( X )
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10958) {G2,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha4( X ) }.
% 1.54/1.96 parent0[0]: (10957) {G1,W7,D3,L3,V1,M3} { ! cd( skol3( X ) ), alpha5( X )
% 1.54/1.96 , ! alpha4( X ) }.
% 1.54/1.96 parent1[0]: (224) {G6,W3,D3,L1,V1,M1} R(204,31) { cd( skol3( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (243) {G7,W4,D2,L2,V1,M2} R(32,27);r(224) { ! alpha4( X ),
% 1.54/1.96 alpha5( X ) }.
% 1.54/1.96 parent0: (10958) {G2,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha4( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 1
% 1.54/1.96 1 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10959) {G3,W5,D2,L2,V1,M2} { alpha5( X ), ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 parent0[0]: (243) {G7,W4,D2,L2,V1,M2} R(32,27);r(224) { ! alpha4( X ),
% 1.54/1.96 alpha5( X ) }.
% 1.54/1.96 parent1[1]: (218) {G2,W5,D2,L2,V1,M2} R(28,71) { ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ), alpha4( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (249) {G8,W5,D2,L2,V1,M2} R(243,218) { alpha5( X ), ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 parent0: (10959) {G3,W5,D2,L2,V1,M2} { alpha5( X ), ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10960) {G3,W5,D2,L2,V1,M2} { alpha5( X ), ! rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 parent0[1]: (249) {G8,W5,D2,L2,V1,M2} R(243,218) { alpha5( X ), ! rinvR(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 parent1[1]: (145) {G2,W6,D2,L2,V2,M2} R(41,134) { ! rinvF( X, Y ), rinvR( X
% 1.54/1.96 , Y ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 Y := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (257) {G9,W5,D2,L2,V1,M2} R(249,145) { alpha5( X ), ! rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 parent0: (10960) {G3,W5,D2,L2,V1,M2} { alpha5( X ), ! rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10961) {G1,W5,D3,L2,V0,M2} { ! cd( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ), alpha4( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent0[0]: (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha4
% 1.54/1.96 ( X ) }.
% 1.54/1.96 parent1[0]: (173) {G3,W4,D3,L1,V0,M1} R(26,61) { rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, skol1( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 Y := skol1( i2003_11_14_17_19_32337 )
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10962) {G2,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_32337
% 1.54/1.96 ) }.
% 1.54/1.96 parent0[0]: (10961) {G1,W5,D3,L2,V0,M2} { ! cd( skol1(
% 1.54/1.96 i2003_11_14_17_19_32337 ) ), alpha4( i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent1[0]: (109) {G3,W3,D3,L1,V1,M1} R(25,61) { cd( skol1( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (269) {G4,W2,D2,L1,V0,M1} R(33,173);r(109) { alpha4(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 parent0: (10962) {G2,W2,D2,L1,V0,M1} { alpha4( i2003_11_14_17_19_32337 )
% 1.54/1.96 }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10963) {G1,W7,D3,L3,V1,M3} { ! cd( skol1( X ) ), alpha4( X )
% 1.54/1.96 , ! alpha5( X ) }.
% 1.54/1.96 parent0[0]: (33) {G0,W7,D2,L3,V2,M3} I { ! rinvF( X, Y ), ! cd( Y ), alpha4
% 1.54/1.96 ( X ) }.
% 1.54/1.96 parent1[1]: (26) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), rinvF( X, skol1( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 Y := skol1( X )
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10964) {G2,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha5( X ) }.
% 1.54/1.96 parent0[0]: (10963) {G1,W7,D3,L3,V1,M3} { ! cd( skol1( X ) ), alpha4( X )
% 1.54/1.96 , ! alpha5( X ) }.
% 1.54/1.96 parent1[0]: (109) {G3,W3,D3,L1,V1,M1} R(25,61) { cd( skol1( X ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (270) {G4,W4,D2,L2,V1,M2} R(33,26);r(109) { alpha4( X ), !
% 1.54/1.96 alpha5( X ) }.
% 1.54/1.96 parent0: (10964) {G2,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha5( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 1 ==> 1
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10965) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_19_32337,
% 1.54/1.96 skol3( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0[0]: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol3( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 parent1[0]: (269) {G4,W2,D2,L1,V0,M1} R(33,173);r(109) { alpha4(
% 1.54/1.96 i2003_11_14_17_19_32337 ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := i2003_11_14_17_19_32337
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (277) {G5,W4,D3,L1,V0,M1} R(269,32) { rinvF(
% 1.54/1.96 i2003_11_14_17_19_32337, skol3( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 parent0: (10965) {G1,W4,D3,L1,V0,M1} { rinvF( i2003_11_14_17_19_32337,
% 1.54/1.96 skol3( i2003_11_14_17_19_32337 ) ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 end
% 1.54/1.96 permutation0:
% 1.54/1.96 0 ==> 0
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 resolution: (10966) {G1,W6,D3,L2,V1,M2} { rinvF( X, skol3( X ) ), ! alpha5
% 1.54/1.96 ( X ) }.
% 1.54/1.96 parent0[0]: (32) {G0,W6,D3,L2,V1,M2} I { ! alpha4( X ), rinvF( X, skol3( X
% 1.54/1.96 ) ) }.
% 1.54/1.96 parent1[0]: (270) {G4,W4,D2,L2,V1,M2} R(33,26);r(109) { alpha4( X ), !
% 1.54/1.96 alpha5( X ) }.
% 1.54/1.96 substitution0:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96 substitution1:
% 1.54/1.96 X := X
% 1.54/1.96 end
% 1.54/1.96
% 1.54/1.96 subsumption: (278) {G5,W6,D3,L2,V1,M2} R(270,32) { ! alpha5( X ), rinvF( X
% 62.14/62.57 , skol3( X ) ) }.
% 62.14/62.57 parent0: (10966) {G1,W6,D3,L2,V1,M2} { rinvF( X, skol3( X ) ), ! alpha5( X
% 62.14/62.57 ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := X
% 62.14/62.57 end
% 62.14/62.57 permutation0:
% 62.14/62.57 0 ==> 1
% 62.14/62.57 1 ==> 0
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 resolution: (10967) {G6,W3,D3,L1,V0,M1} { alpha5( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 parent0[1]: (257) {G9,W5,D2,L2,V1,M2} R(249,145) { alpha5( X ), ! rinvF(
% 62.14/62.57 i2003_11_14_17_19_32337, X ) }.
% 62.14/62.57 parent1[0]: (277) {G5,W4,D3,L1,V0,M1} R(269,32) { rinvF(
% 62.14/62.57 i2003_11_14_17_19_32337, skol3( i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := skol3( i2003_11_14_17_19_32337 )
% 62.14/62.57 end
% 62.14/62.57 substitution1:
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 subsumption: (298) {G10,W3,D3,L1,V0,M1} R(277,257) { alpha5( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 parent0: (10967) {G6,W3,D3,L1,V0,M1} { alpha5( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 end
% 62.14/62.57 permutation0:
% 62.14/62.57 0 ==> 0
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 resolution: (10968) {G1,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol4( X ) = Y, !
% 62.14/62.57 alpha2( X ) }.
% 62.14/62.57 parent0[0]: (40) {G1,W9,D2,L3,V3,M3} I;r(15) { ! rf( X, Y ), ! rf( X, Z ),
% 62.14/62.57 Y = Z }.
% 62.14/62.57 parent1[1]: (38) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rf( X, skol4( X ) )
% 62.14/62.57 }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := X
% 62.14/62.57 Y := skol4( X )
% 62.14/62.57 Z := Y
% 62.14/62.57 end
% 62.14/62.57 substitution1:
% 62.14/62.57 X := X
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 subsumption: (329) {G2,W9,D3,L3,V2,M3} R(40,38) { ! rf( X, Y ), skol4( X )
% 62.14/62.57 = Y, ! alpha2( X ) }.
% 62.14/62.57 parent0: (10968) {G1,W9,D3,L3,V2,M3} { ! rf( X, Y ), skol4( X ) = Y, !
% 62.14/62.57 alpha2( X ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := X
% 62.14/62.57 Y := Y
% 62.14/62.57 end
% 62.14/62.57 permutation0:
% 62.14/62.57 0 ==> 0
% 62.14/62.57 1 ==> 1
% 62.14/62.57 2 ==> 2
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 resolution: (10970) {G1,W6,D3,L2,V1,M2} { rf( skol3( X ), X ), ! alpha5( X
% 62.14/62.57 ) }.
% 62.14/62.57 parent0[0]: (41) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 62.14/62.57 parent1[1]: (278) {G5,W6,D3,L2,V1,M2} R(270,32) { ! alpha5( X ), rinvF( X,
% 62.14/62.57 skol3( X ) ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := X
% 62.14/62.57 Y := skol3( X )
% 62.14/62.57 end
% 62.14/62.57 substitution1:
% 62.14/62.57 X := X
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 subsumption: (881) {G6,W6,D3,L2,V1,M2} R(278,41) { ! alpha5( X ), rf( skol3
% 62.14/62.57 ( X ), X ) }.
% 62.14/62.57 parent0: (10970) {G1,W6,D3,L2,V1,M2} { rf( skol3( X ), X ), ! alpha5( X )
% 62.14/62.57 }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := X
% 62.14/62.57 end
% 62.14/62.57 permutation0:
% 62.14/62.57 0 ==> 1
% 62.14/62.57 1 ==> 0
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 resolution: (10971) {G7,W6,D4,L1,V0,M1} { rf( skol3( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ), skol3( i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 parent0[0]: (881) {G6,W6,D3,L2,V1,M2} R(278,41) { ! alpha5( X ), rf( skol3
% 62.14/62.57 ( X ), X ) }.
% 62.14/62.57 parent1[0]: (298) {G10,W3,D3,L1,V0,M1} R(277,257) { alpha5( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := skol3( i2003_11_14_17_19_32337 )
% 62.14/62.57 end
% 62.14/62.57 substitution1:
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 subsumption: (959) {G11,W6,D4,L1,V0,M1} R(881,298) { rf( skol3( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ), skol3( i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 parent0: (10971) {G7,W6,D4,L1,V0,M1} { rf( skol3( skol3(
% 62.14/62.57 i2003_11_14_17_19_32337 ) ), skol3( i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 end
% 62.14/62.57 permutation0:
% 62.14/62.57 0 ==> 0
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 *** allocated 15000 integers for justifications
% 62.14/62.57 *** allocated 22500 integers for justifications
% 62.14/62.57 *** allocated 256285 integers for termspace/termends
% 62.14/62.57 *** allocated 33750 integers for justifications
% 62.14/62.57 *** allocated 50625 integers for justifications
% 62.14/62.57 *** allocated 75937 integers for justifications
% 62.14/62.57 *** allocated 384427 integers for termspace/termends
% 62.14/62.57 *** allocated 113905 integers for justifications
% 62.14/62.57 *** allocated 170857 integers for justifications
% 62.14/62.57 *** allocated 576640 integers for termspace/termends
% 62.14/62.57 *** allocated 256285 integers for justifications
% 62.14/62.57 *** allocated 864960 integers for clauses
% 62.14/62.57 *** allocated 384427 integers for justifications
% 62.14/62.57 *** allocated 864960 integers for termspace/termends
% 62.14/62.57 *** allocated 576640 integers for justifications
% 62.14/62.57 eqswap: (10972) {G2,W9,D3,L3,V2,M3} { Y = skol4( X ), ! rf( X, Y ), !
% 62.14/62.57 alpha2( X ) }.
% 62.14/62.57 parent0[1]: (329) {G2,W9,D3,L3,V2,M3} R(40,38) { ! rf( X, Y ), skol4( X ) =
% 62.14/62.57 Y, ! alpha2( X ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := X
% 62.14/62.57 Y := Y
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 paramod: (10973) {G3,W9,D3,L3,V2,M3} { cd( skol4( Y ) ), ! rf( Y, skol3( X
% 62.14/62.57 ) ), ! alpha2( Y ) }.
% 62.14/62.57 parent0[0]: (10972) {G2,W9,D3,L3,V2,M3} { Y = skol4( X ), ! rf( X, Y ), !
% 62.14/62.57 alpha2( X ) }.
% 62.14/62.57 parent1[0; 1]: (224) {G6,W3,D3,L1,V1,M1} R(204,31) { cd( skol3( X ) ) }.
% 62.14/62.57 substitution0:
% 62.14/62.57 X := Y
% 62.14/62.57 Y := skol3( X )
% 62.14/62.57 end
% 62.14/62.57 substitution1:
% 62.14/62.57 X := X
% 62.14/62.57 end
% 62.14/62.57
% 62.14/62.57 resolution: (20398) {G4,W6,D3,L2,V2,M2} { ! rf( X, skol3( Y ) ), ! alpha2
% 62.14/62.58 ( X ) }.
% 62.14/62.58 parent0[0]: (84) {G3,W3,D3,L1,V1,M1} F(83) { ! cd( skol4( X ) ) }.
% 62.14/62.58 parent1[0]: (10973) {G3,W9,D3,L3,V2,M3} { cd( skol4( Y ) ), ! rf( Y, skol3
% 62.14/62.58 ( X ) ), ! alpha2( Y ) }.
% 62.14/62.58 substitution0:
% 62.14/62.58 X := X
% 62.14/62.58 end
% 62.14/62.58 substitution1:
% 62.14/62.58 X := Y
% 62.14/62.58 Y := X
% 62.14/62.58 end
% 62.14/62.58
% 62.14/62.58 subsumption: (10543) {G7,W6,D3,L2,V2,M2} P(329,224);r(84) { ! rf( Y, skol3
% 62.14/62.58 ( X ) ), ! alpha2( Y ) }.
% 62.14/62.58 parent0: (20398) {G4,W6,D3,L2,V2,M2} { ! rf( X, skol3( Y ) ), ! alpha2( X
% 62.14/62.58 ) }.
% 62.14/62.58 substitution0:
% 62.14/62.58 X := Y
% 62.14/62.58 Y := X
% 62.14/62.58 end
% 62.14/62.58 permutation0:
% 62.14/62.58 0 ==> 0
% 62.14/62.58 1 ==> 1
% 62.14/62.58 end
% 62.14/62.58
% 62.14/62.58 resolution: (20399) {G8,W4,D4,L1,V0,M1} { ! alpha2( skol3( skol3(
% 62.14/62.58 i2003_11_14_17_19_32337 ) ) ) }.
% 62.14/62.58 parent0[0]: (10543) {G7,W6,D3,L2,V2,M2} P(329,224);r(84) { ! rf( Y, skol3(
% 62.14/62.58 X ) ), ! alpha2( Y ) }.
% 62.14/62.58 parent1[0]: (959) {G11,W6,D4,L1,V0,M1} R(881,298) { rf( skol3( skol3(
% 62.14/62.58 i2003_11_14_17_19_32337 ) ), skol3( i2003_11_14_17_19_32337 ) ) }.
% 62.14/62.58 substitution0:
% 62.14/62.58 X := i2003_11_14_17_19_32337
% 62.14/62.58 Y := skol3( skol3( i2003_11_14_17_19_32337 ) )
% 62.14/62.58 end
% 62.14/62.58 substitution1:
% 62.14/62.58 end
% 62.14/62.58
% 62.14/62.58 resolution: (20400) {G7,W0,D0,L0,V0,M0} { }.
% 62.14/62.58 parent0[0]: (20399) {G8,W4,D4,L1,V0,M1} { ! alpha2( skol3( skol3(
% 62.14/62.58 i2003_11_14_17_19_32337 ) ) ) }.
% 62.14/62.58 parent1[0]: (221) {G6,W3,D3,L1,V1,M1} R(204,94) { alpha2( skol3( X ) ) }.
% 62.14/62.58 substitution0:
% 62.14/62.58 end
% 62.14/62.58 substitution1:
% 62.14/62.58 X := skol3( i2003_11_14_17_19_32337 )
% 62.14/62.58 end
% 62.14/62.58
% 62.14/62.58 subsumption: (10575) {G12,W0,D0,L0,V0,M0} R(10543,959);r(221) { }.
% 62.14/62.58 parent0: (20400) {G7,W0,D0,L0,V0,M0} { }.
% 62.14/62.58 substitution0:
% 62.14/62.58 end
% 62.14/62.58 permutation0:
% 62.14/62.58 end
% 62.14/62.58
% 62.14/62.58 Proof check complete!
% 62.14/62.58
% 62.14/62.58 Memory use:
% 62.14/62.58
% 62.14/62.58 space for terms: 137476
% 62.14/62.58 space for clauses: 410137
% 62.14/62.58
% 62.14/62.58
% 62.14/62.58 clauses generated: 45963
% 62.14/62.58 clauses kept: 10576
% 62.14/62.58 clauses selected: 791
% 62.14/62.58 clauses deleted: 52
% 62.14/62.58 clauses inuse deleted: 21
% 62.14/62.58
% 62.14/62.58 subsentry: 20070978
% 62.14/62.58 literals s-matched: 12328496
% 62.14/62.58 literals matched: 9754869
% 62.14/62.58 full subsumption: 9669009
% 62.14/62.58
% 62.14/62.58 checksum: 1159857647
% 62.14/62.58
% 62.14/62.58
% 62.14/62.58 Bliksem ended
%------------------------------------------------------------------------------