TSTP Solution File: KRS086+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 0.83s 1.23s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.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 18:53:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.83/1.23 *** allocated 10000 integers for termspace/termends
% 0.83/1.23 *** allocated 10000 integers for clauses
% 0.83/1.23 *** allocated 10000 integers for justifications
% 0.83/1.23 Bliksem 1.12
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Automatic Strategy Selection
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Clauses:
% 0.83/1.23
% 0.83/1.23 { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.83/1.23 { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.83/1.23 { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.83/1.23 { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.83/1.23 { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.83/1.23 { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.83/1.23 { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.83/1.23 { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.83/1.23 { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.83/1.23 { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.83/1.23 { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.83/1.23 { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.83/1.23 { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.83/1.23 { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.83/1.23 { cowlThing( X ) }.
% 0.83/1.23 { ! cowlNothing( X ) }.
% 0.83/1.23 { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.83/1.23 { xsd_integer( X ), xsd_string( X ) }.
% 0.83/1.23 { ! cUnsatisfiable( X ), alpha1( skol1( Y ) ) }.
% 0.83/1.23 { ! cUnsatisfiable( X ), rf( X, skol1( X ) ) }.
% 0.83/1.23 { ! rf( X, Y ), ! alpha1( Y ), cUnsatisfiable( X ) }.
% 0.83/1.23 { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 { ! alpha1( X ), cp1( X ) }.
% 0.83/1.23 { ! alpha2( X ), ! cp1( X ), alpha1( X ) }.
% 0.83/1.23 { ! alpha2( X ), alpha3( skol2( Y ) ) }.
% 0.83/1.23 { ! alpha2( X ), rinvF( X, skol2( X ) ) }.
% 0.83/1.23 { ! rinvF( X, Y ), ! alpha3( Y ), alpha2( X ) }.
% 0.83/1.23 { ! alpha3( X ), ! cp1( skol3( Y ) ) }.
% 0.83/1.23 { ! alpha3( X ), rf( X, skol3( X ) ) }.
% 0.83/1.23 { ! rf( X, Y ), cp1( Y ), alpha3( X ) }.
% 0.83/1.23 { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 0.83/1.23 { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.83/1.23 { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.83/1.23 { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.83/1.23 { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.83/1.23 { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.83/1.23 { cUnsatisfiable( i2003_11_14_17_19_42328 ) }.
% 0.83/1.23
% 0.83/1.23 percentage equality = 0.163043, percentage horn = 0.945946
% 0.83/1.23 This is a problem with some equality
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Options Used:
% 0.83/1.23
% 0.83/1.23 useres = 1
% 0.83/1.23 useparamod = 1
% 0.83/1.23 useeqrefl = 1
% 0.83/1.23 useeqfact = 1
% 0.83/1.23 usefactor = 1
% 0.83/1.23 usesimpsplitting = 0
% 0.83/1.23 usesimpdemod = 5
% 0.83/1.23 usesimpres = 3
% 0.83/1.23
% 0.83/1.23 resimpinuse = 1000
% 0.83/1.23 resimpclauses = 20000
% 0.83/1.23 substype = eqrewr
% 0.83/1.23 backwardsubs = 1
% 0.83/1.23 selectoldest = 5
% 0.83/1.23
% 0.83/1.23 litorderings [0] = split
% 0.83/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.23
% 0.83/1.23 termordering = kbo
% 0.83/1.23
% 0.83/1.23 litapriori = 0
% 0.83/1.23 termapriori = 1
% 0.83/1.23 litaposteriori = 0
% 0.83/1.23 termaposteriori = 0
% 0.83/1.23 demodaposteriori = 0
% 0.83/1.23 ordereqreflfact = 0
% 0.83/1.23
% 0.83/1.23 litselect = negord
% 0.83/1.23
% 0.83/1.23 maxweight = 15
% 0.83/1.23 maxdepth = 30000
% 0.83/1.23 maxlength = 115
% 0.83/1.23 maxnrvars = 195
% 0.83/1.23 excuselevel = 1
% 0.83/1.23 increasemaxweight = 1
% 0.83/1.23
% 0.83/1.23 maxselected = 10000000
% 0.83/1.23 maxnrclauses = 10000000
% 0.83/1.23
% 0.83/1.23 showgenerated = 0
% 0.83/1.23 showkept = 0
% 0.83/1.23 showselected = 0
% 0.83/1.23 showdeleted = 0
% 0.83/1.23 showresimp = 1
% 0.83/1.23 showstatus = 2000
% 0.83/1.23
% 0.83/1.23 prologoutput = 0
% 0.83/1.23 nrgoals = 5000000
% 0.83/1.23 totalproof = 1
% 0.83/1.23
% 0.83/1.23 Symbols occurring in the translation:
% 0.83/1.23
% 0.83/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.23 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.83/1.23 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.83/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.23 cUnsatisfiable [37, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.83/1.23 cowlNothing [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.83/1.23 cowlThing [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.83/1.23 cp1 [40, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.83/1.23 rf [42, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.83/1.23 rinvF [43, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.83/1.23 rinvR [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.83/1.23 rr [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.83/1.23 xsd_integer [46, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.83/1.23 xsd_string [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.83/1.23 i2003_11_14_17_19_42328 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.83/1.23 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.83/1.23 alpha2 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.83/1.23 alpha3 [57, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.83/1.23 skol1 [58, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.83/1.23 skol2 [59, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.83/1.23 skol3 [60, 1] (w:1, o:32, a:1, s:1, b:1).
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Starting Search:
% 0.83/1.23
% 0.83/1.23 *** allocated 15000 integers for clauses
% 0.83/1.23 *** allocated 22500 integers for clauses
% 0.83/1.23 *** allocated 33750 integers for clauses
% 0.83/1.23 *** allocated 15000 integers for termspace/termends
% 0.83/1.23 *** allocated 50625 integers for clauses
% 0.83/1.23 Resimplifying inuse:
% 0.83/1.23 Done
% 0.83/1.23
% 0.83/1.23 *** allocated 22500 integers for termspace/termends
% 0.83/1.23 *** allocated 75937 integers for clauses
% 0.83/1.23 *** allocated 33750 integers for termspace/termends
% 0.83/1.23
% 0.83/1.23 Intermediate Status:
% 0.83/1.23 Generated: 8156
% 0.83/1.23 Kept: 2004
% 0.83/1.23 Inuse: 202
% 0.83/1.23 Deleted: 21
% 0.83/1.23 Deletedinuse: 10
% 0.83/1.23
% 0.83/1.23 Resimplifying inuse:
% 0.83/1.23 Done
% 0.83/1.23
% 0.83/1.23 *** allocated 113905 integers for clauses
% 0.83/1.23 *** allocated 50625 integers for termspace/termends
% 0.83/1.23
% 0.83/1.23 Bliksems!, er is een bewijs:
% 0.83/1.23 % SZS status Unsatisfiable
% 0.83/1.23 % SZS output start Refutation
% 0.83/1.23
% 0.83/1.23 (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.83/1.23 (14) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.83/1.23 (18) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), alpha1( skol1( Y ) )
% 0.83/1.23 }.
% 0.83/1.23 (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 (22) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), cp1( X ) }.
% 0.83/1.23 (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y ) ) }.
% 0.83/1.23 (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rinvF( X, skol2( X ) ) }.
% 0.83/1.23 (27) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol3( Y ) ) }.
% 0.83/1.23 (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X ) ) }.
% 0.83/1.23 (30) {G1,W9,D2,L3,V3,M3} I;r(14) { ! rf( X, Y ), ! rf( X, Z ), Y = Z }.
% 0.83/1.23 (31) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.83/1.23 (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_42328 ) }.
% 0.83/1.23 (42) {G1,W5,D3,L2,V2,M2} R(24,27) { ! alpha2( X ), ! cp1( skol3( Y ) ) }.
% 0.83/1.23 (43) {G1,W5,D3,L2,V2,M2} R(24,21) { alpha3( skol2( X ) ), ! alpha1( Y ) }.
% 0.83/1.23 (46) {G2,W5,D3,L2,V2,M2} R(42,21) { ! cp1( skol3( X ) ), ! alpha1( Y ) }.
% 0.83/1.23 (57) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.83/1.23 (58) {G2,W3,D3,L1,V1,M1} R(57,43) { alpha3( skol2( X ) ) }.
% 0.83/1.23 (59) {G3,W3,D3,L1,V1,M1} R(57,46) { ! cp1( skol3( X ) ) }.
% 0.83/1.23 (60) {G2,W3,D3,L1,V1,M1} R(57,21) { alpha2( skol1( X ) ) }.
% 0.83/1.23 (61) {G2,W3,D3,L1,V1,M1} R(57,22) { cp1( skol1( X ) ) }.
% 0.83/1.23 (64) {G3,W6,D3,L2,V2,M2} R(61,3) { ! skol1( X ) = Y, cp1( Y ) }.
% 0.83/1.23 (75) {G4,W5,D3,L1,V2,M1} R(64,59) { ! skol1( X ) = skol3( Y ) }.
% 0.83/1.23 (89) {G3,W6,D4,L1,V1,M1} R(28,58) { rf( skol2( X ), skol3( skol2( X ) ) )
% 0.83/1.23 }.
% 0.83/1.23 (94) {G1,W6,D3,L2,V1,M2} R(25,31) { ! alpha2( X ), rf( skol2( X ), X ) }.
% 0.83/1.23 (99) {G3,W6,D4,L1,V1,M1} R(94,60) { rf( skol2( skol1( X ) ), skol1( X ) )
% 0.83/1.23 }.
% 0.83/1.23 (234) {G5,W8,D3,L2,V3,M2} R(30,75) { ! rf( X, skol1( Y ) ), ! rf( X, skol3
% 0.83/1.23 ( Z ) ) }.
% 0.83/1.23 (2375) {G6,W5,D3,L1,V2,M1} R(234,89) { ! rf( skol2( X ), skol1( Y ) ) }.
% 0.83/1.23 (2390) {G7,W0,D0,L0,V0,M0} R(2375,99) { }.
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 % SZS output end Refutation
% 0.83/1.23 found a proof!
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Unprocessed initial clauses:
% 0.83/1.23
% 0.83/1.23 (2392) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cUnsatisfiable( Y ),
% 0.83/1.23 cUnsatisfiable( X ) }.
% 0.83/1.23 (2393) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.83/1.23 }.
% 0.83/1.23 (2394) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.83/1.23 (2395) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.83/1.23 (2396) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.83/1.23 (2397) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.83/1.23 (2398) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.83/1.23 (2399) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.83/1.23 (2400) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.83/1.23 (2401) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.83/1.23 (2402) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.83/1.23 (2403) {G0,W9,D2,L3,V3,M3} { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.83/1.23 (2404) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.83/1.23 }.
% 0.83/1.23 (2405) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.83/1.23 }.
% 0.83/1.23 (2406) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.83/1.23 (2407) {G0,W2,D2,L1,V1,M1} { ! cowlNothing( X ) }.
% 0.83/1.23 (2408) {G0,W4,D2,L2,V1,M2} { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.83/1.23 (2409) {G0,W4,D2,L2,V1,M2} { xsd_integer( X ), xsd_string( X ) }.
% 0.83/1.23 (2410) {G0,W5,D3,L2,V2,M2} { ! cUnsatisfiable( X ), alpha1( skol1( Y ) )
% 0.83/1.23 }.
% 0.83/1.23 (2411) {G0,W6,D3,L2,V1,M2} { ! cUnsatisfiable( X ), rf( X, skol1( X ) )
% 0.83/1.23 }.
% 0.83/1.23 (2412) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), ! alpha1( Y ), cUnsatisfiable(
% 0.83/1.23 X ) }.
% 0.83/1.23 (2413) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 (2414) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), cp1( X ) }.
% 0.83/1.23 (2415) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! cp1( X ), alpha1( X ) }.
% 0.83/1.23 (2416) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), alpha3( skol2( Y ) ) }.
% 0.83/1.23 (2417) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rinvF( X, skol2( X ) ) }.
% 0.83/1.23 (2418) {G0,W7,D2,L3,V2,M3} { ! rinvF( X, Y ), ! alpha3( Y ), alpha2( X )
% 0.83/1.23 }.
% 0.83/1.23 (2419) {G0,W5,D3,L2,V2,M2} { ! alpha3( X ), ! cp1( skol3( Y ) ) }.
% 0.83/1.23 (2420) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), rf( X, skol3( X ) ) }.
% 0.83/1.23 (2421) {G0,W7,D2,L3,V2,M3} { ! rf( X, Y ), cp1( Y ), alpha3( X ) }.
% 0.83/1.23 (2422) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ), ! rf( X, Z )
% 0.83/1.23 , Y = Z }.
% 0.83/1.23 (2423) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.83/1.23 (2424) {G0,W6,D2,L2,V2,M2} { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.83/1.23 (2425) {G0,W6,D2,L2,V2,M2} { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.83/1.23 (2426) {G0,W6,D2,L2,V2,M2} { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.83/1.23 (2427) {G0,W9,D2,L3,V3,M3} { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.83/1.23 (2428) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable( i2003_11_14_17_19_42328 ) }.
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Total Proof:
% 0.83/1.23
% 0.83/1.23 subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.83/1.23 parent0: (2395) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 2 ==> 2
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (14) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.83/1.23 parent0: (2406) {G0,W2,D2,L1,V1,M1} { cowlThing( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (18) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), alpha1(
% 0.83/1.23 skol1( Y ) ) }.
% 0.83/1.23 parent0: (2410) {G0,W5,D3,L2,V2,M2} { ! cUnsatisfiable( X ), alpha1( skol1
% 0.83/1.23 ( Y ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 parent0: (2413) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), cp1( X ) }.
% 0.83/1.23 parent0: (2414) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), cp1( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y )
% 0.83/1.23 ) }.
% 0.83/1.23 parent0: (2416) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), alpha3( skol2( Y ) )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rinvF( X, skol2( X
% 0.83/1.23 ) ) }.
% 0.83/1.23 parent0: (2417) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), rinvF( X, skol2( X )
% 0.83/1.23 ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (27) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol3( Y )
% 0.83/1.23 ) }.
% 0.83/1.23 parent0: (2419) {G0,W5,D3,L2,V2,M2} { ! alpha3( X ), ! cp1( skol3( Y ) )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X )
% 0.83/1.23 ) }.
% 0.83/1.23 parent0: (2420) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), rf( X, skol3( X ) )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2565) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y = Z
% 0.83/1.23 }.
% 0.83/1.23 parent0[0]: (2422) {G0,W11,D2,L4,V3,M4} { ! cowlThing( X ), ! rf( X, Y ),
% 0.83/1.23 ! rf( X, Z ), Y = Z }.
% 0.83/1.23 parent1[0]: (14) {G0,W2,D2,L1,V1,M1} I { cowlThing( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 Z := Z
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (30) {G1,W9,D2,L3,V3,M3} I;r(14) { ! rf( X, Y ), ! rf( X, Z )
% 0.83/1.23 , Y = Z }.
% 0.83/1.23 parent0: (2565) {G1,W9,D2,L3,V3,M3} { ! rf( X, Y ), ! rf( X, Z ), Y = Z
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 Z := Z
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 2 ==> 2
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (31) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.83/1.23 parent0: (2423) {G0,W6,D2,L2,V2,M2} { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.83/1.23 i2003_11_14_17_19_42328 ) }.
% 0.83/1.23 parent0: (2428) {G0,W2,D2,L1,V0,M1} { cUnsatisfiable(
% 0.83/1.23 i2003_11_14_17_19_42328 ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2598) {G1,W5,D3,L2,V2,M2} { ! cp1( skol3( Y ) ), ! alpha2( Z
% 0.83/1.23 ) }.
% 0.83/1.23 parent0[0]: (27) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol3( Y ) )
% 0.83/1.23 }.
% 0.83/1.23 parent1[1]: (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y )
% 0.83/1.23 ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol2( X )
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := Z
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (42) {G1,W5,D3,L2,V2,M2} R(24,27) { ! alpha2( X ), ! cp1(
% 0.83/1.23 skol3( Y ) ) }.
% 0.83/1.23 parent0: (2598) {G1,W5,D3,L2,V2,M2} { ! cp1( skol3( Y ) ), ! alpha2( Z )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Z
% 0.83/1.23 Y := Y
% 0.83/1.23 Z := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 1
% 0.83/1.23 1 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2599) {G1,W5,D3,L2,V2,M2} { alpha3( skol2( Y ) ), ! alpha1( X
% 0.83/1.23 ) }.
% 0.83/1.23 parent0[0]: (24) {G0,W5,D3,L2,V2,M2} I { ! alpha2( X ), alpha3( skol2( Y )
% 0.83/1.23 ) }.
% 0.83/1.23 parent1[1]: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (43) {G1,W5,D3,L2,V2,M2} R(24,21) { alpha3( skol2( X ) ), !
% 0.83/1.23 alpha1( Y ) }.
% 0.83/1.23 parent0: (2599) {G1,W5,D3,L2,V2,M2} { alpha3( skol2( Y ) ), ! alpha1( X )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2600) {G1,W5,D3,L2,V2,M2} { ! cp1( skol3( Y ) ), ! alpha1( X
% 0.83/1.23 ) }.
% 0.83/1.23 parent0[0]: (42) {G1,W5,D3,L2,V2,M2} R(24,27) { ! alpha2( X ), ! cp1( skol3
% 0.83/1.23 ( Y ) ) }.
% 0.83/1.23 parent1[1]: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (46) {G2,W5,D3,L2,V2,M2} R(42,21) { ! cp1( skol3( X ) ), !
% 0.83/1.23 alpha1( Y ) }.
% 0.83/1.23 parent0: (2600) {G1,W5,D3,L2,V2,M2} { ! cp1( skol3( Y ) ), ! alpha1( X )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2601) {G1,W3,D3,L1,V1,M1} { alpha1( skol1( X ) ) }.
% 0.83/1.23 parent0[0]: (18) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), alpha1(
% 0.83/1.23 skol1( Y ) ) }.
% 0.83/1.23 parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable(
% 0.83/1.23 i2003_11_14_17_19_42328 ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := i2003_11_14_17_19_42328
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (57) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.83/1.23 parent0: (2601) {G1,W3,D3,L1,V1,M1} { alpha1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2602) {G2,W3,D3,L1,V1,M1} { alpha3( skol2( X ) ) }.
% 0.83/1.23 parent0[1]: (43) {G1,W5,D3,L2,V2,M2} R(24,21) { alpha3( skol2( X ) ), !
% 0.83/1.23 alpha1( Y ) }.
% 0.83/1.23 parent1[0]: (57) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := skol1( Y )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (58) {G2,W3,D3,L1,V1,M1} R(57,43) { alpha3( skol2( X ) ) }.
% 0.83/1.23 parent0: (2602) {G2,W3,D3,L1,V1,M1} { alpha3( skol2( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2603) {G2,W3,D3,L1,V1,M1} { ! cp1( skol3( X ) ) }.
% 0.83/1.23 parent0[1]: (46) {G2,W5,D3,L2,V2,M2} R(42,21) { ! cp1( skol3( X ) ), !
% 0.83/1.23 alpha1( Y ) }.
% 0.83/1.23 parent1[0]: (57) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := skol1( Y )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (59) {G3,W3,D3,L1,V1,M1} R(57,46) { ! cp1( skol3( X ) ) }.
% 0.83/1.23 parent0: (2603) {G2,W3,D3,L1,V1,M1} { ! cp1( skol3( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2604) {G1,W3,D3,L1,V1,M1} { alpha2( skol1( X ) ) }.
% 0.83/1.23 parent0[0]: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.83/1.23 parent1[0]: (57) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol1( X )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (60) {G2,W3,D3,L1,V1,M1} R(57,21) { alpha2( skol1( X ) ) }.
% 0.83/1.23 parent0: (2604) {G1,W3,D3,L1,V1,M1} { alpha2( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2605) {G1,W3,D3,L1,V1,M1} { cp1( skol1( X ) ) }.
% 0.83/1.23 parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), cp1( X ) }.
% 0.83/1.23 parent1[0]: (57) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol1( X )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (61) {G2,W3,D3,L1,V1,M1} R(57,22) { cp1( skol1( X ) ) }.
% 0.83/1.23 parent0: (2605) {G1,W3,D3,L1,V1,M1} { cp1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 eqswap: (2606) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1( X ), cp1( Y ) }.
% 0.83/1.23 parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2607) {G1,W6,D3,L2,V2,M2} { ! X = skol1( Y ), cp1( X ) }.
% 0.83/1.23 parent0[1]: (2606) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! cp1( X ), cp1( Y ) }.
% 0.83/1.23 parent1[0]: (61) {G2,W3,D3,L1,V1,M1} R(57,22) { cp1( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol1( Y )
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 eqswap: (2608) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, cp1( X ) }.
% 0.83/1.23 parent0[0]: (2607) {G1,W6,D3,L2,V2,M2} { ! X = skol1( Y ), cp1( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (64) {G3,W6,D3,L2,V2,M2} R(61,3) { ! skol1( X ) = Y, cp1( Y )
% 0.83/1.23 }.
% 0.83/1.23 parent0: (2608) {G1,W6,D3,L2,V2,M2} { ! skol1( Y ) = X, cp1( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 1 ==> 1
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 eqswap: (2609) {G3,W6,D3,L2,V2,M2} { ! Y = skol1( X ), cp1( Y ) }.
% 0.83/1.23 parent0[0]: (64) {G3,W6,D3,L2,V2,M2} R(61,3) { ! skol1( X ) = Y, cp1( Y )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2610) {G4,W5,D3,L1,V2,M1} { ! skol3( X ) = skol1( Y ) }.
% 0.83/1.23 parent0[0]: (59) {G3,W3,D3,L1,V1,M1} R(57,46) { ! cp1( skol3( X ) ) }.
% 0.83/1.23 parent1[1]: (2609) {G3,W6,D3,L2,V2,M2} { ! Y = skol1( X ), cp1( Y ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := skol3( X )
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 eqswap: (2611) {G4,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol3( X ) }.
% 0.83/1.23 parent0[0]: (2610) {G4,W5,D3,L1,V2,M1} { ! skol3( X ) = skol1( Y ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (75) {G4,W5,D3,L1,V2,M1} R(64,59) { ! skol1( X ) = skol3( Y )
% 0.83/1.23 }.
% 0.83/1.23 parent0: (2611) {G4,W5,D3,L1,V2,M1} { ! skol1( Y ) = skol3( X ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2612) {G1,W6,D4,L1,V1,M1} { rf( skol2( X ), skol3( skol2( X )
% 0.83/1.23 ) ) }.
% 0.83/1.23 parent0[0]: (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X ) )
% 0.83/1.23 }.
% 0.83/1.23 parent1[0]: (58) {G2,W3,D3,L1,V1,M1} R(57,43) { alpha3( skol2( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol2( X )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (89) {G3,W6,D4,L1,V1,M1} R(28,58) { rf( skol2( X ), skol3(
% 0.83/1.23 skol2( X ) ) ) }.
% 0.83/1.23 parent0: (2612) {G1,W6,D4,L1,V1,M1} { rf( skol2( X ), skol3( skol2( X ) )
% 0.83/1.23 ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2613) {G1,W6,D3,L2,V1,M2} { rf( skol2( X ), X ), ! alpha2( X
% 0.83/1.23 ) }.
% 0.83/1.23 parent0[0]: (31) {G0,W6,D2,L2,V2,M2} I { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.83/1.23 parent1[1]: (25) {G0,W6,D3,L2,V1,M2} I { ! alpha2( X ), rinvF( X, skol2( X
% 0.83/1.23 ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := skol2( X )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (94) {G1,W6,D3,L2,V1,M2} R(25,31) { ! alpha2( X ), rf( skol2(
% 0.83/1.23 X ), X ) }.
% 0.83/1.23 parent0: (2613) {G1,W6,D3,L2,V1,M2} { rf( skol2( X ), X ), ! alpha2( X )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 1
% 0.83/1.23 1 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2614) {G2,W6,D4,L1,V1,M1} { rf( skol2( skol1( X ) ), skol1( X
% 0.83/1.23 ) ) }.
% 0.83/1.23 parent0[0]: (94) {G1,W6,D3,L2,V1,M2} R(25,31) { ! alpha2( X ), rf( skol2( X
% 0.83/1.23 ), X ) }.
% 0.83/1.23 parent1[0]: (60) {G2,W3,D3,L1,V1,M1} R(57,21) { alpha2( skol1( X ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol1( X )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (99) {G3,W6,D4,L1,V1,M1} R(94,60) { rf( skol2( skol1( X ) ),
% 0.83/1.23 skol1( X ) ) }.
% 0.83/1.23 parent0: (2614) {G2,W6,D4,L1,V1,M1} { rf( skol2( skol1( X ) ), skol1( X )
% 0.83/1.23 ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 eqswap: (2615) {G4,W5,D3,L1,V2,M1} { ! skol3( Y ) = skol1( X ) }.
% 0.83/1.23 parent0[0]: (75) {G4,W5,D3,L1,V2,M1} R(64,59) { ! skol1( X ) = skol3( Y )
% 0.83/1.23 }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2616) {G2,W8,D3,L2,V3,M2} { ! rf( Z, skol3( X ) ), ! rf( Z,
% 0.83/1.23 skol1( Y ) ) }.
% 0.83/1.23 parent0[0]: (2615) {G4,W5,D3,L1,V2,M1} { ! skol3( Y ) = skol1( X ) }.
% 0.83/1.23 parent1[2]: (30) {G1,W9,D2,L3,V3,M3} I;r(14) { ! rf( X, Y ), ! rf( X, Z ),
% 0.83/1.23 Y = Z }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Y
% 0.83/1.23 Y := X
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := Z
% 0.83/1.23 Y := skol3( X )
% 0.83/1.23 Z := skol1( Y )
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (234) {G5,W8,D3,L2,V3,M2} R(30,75) { ! rf( X, skol1( Y ) ), !
% 0.83/1.23 rf( X, skol3( Z ) ) }.
% 0.83/1.23 parent0: (2616) {G2,W8,D3,L2,V3,M2} { ! rf( Z, skol3( X ) ), ! rf( Z,
% 0.83/1.23 skol1( Y ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := Z
% 0.83/1.23 Y := Y
% 0.83/1.23 Z := X
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 1
% 0.83/1.23 1 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2617) {G4,W5,D3,L1,V2,M1} { ! rf( skol2( X ), skol1( Y ) )
% 0.83/1.23 }.
% 0.83/1.23 parent0[1]: (234) {G5,W8,D3,L2,V3,M2} R(30,75) { ! rf( X, skol1( Y ) ), !
% 0.83/1.23 rf( X, skol3( Z ) ) }.
% 0.83/1.23 parent1[0]: (89) {G3,W6,D4,L1,V1,M1} R(28,58) { rf( skol2( X ), skol3(
% 0.83/1.23 skol2( X ) ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := skol2( X )
% 0.83/1.23 Y := Y
% 0.83/1.23 Z := skol2( X )
% 0.83/1.23 end
% 0.83/1.23 substitution1:
% 0.83/1.23 X := X
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 subsumption: (2375) {G6,W5,D3,L1,V2,M1} R(234,89) { ! rf( skol2( X ), skol1
% 0.83/1.23 ( Y ) ) }.
% 0.83/1.23 parent0: (2617) {G4,W5,D3,L1,V2,M1} { ! rf( skol2( X ), skol1( Y ) ) }.
% 0.83/1.23 substitution0:
% 0.83/1.23 X := X
% 0.83/1.23 Y := Y
% 0.83/1.23 end
% 0.83/1.23 permutation0:
% 0.83/1.23 0 ==> 0
% 0.83/1.23 end
% 0.83/1.23
% 0.83/1.23 resolution: (2618) {G4,W0,D0,L0,V0,M0} { }.
% 0.83/1.23 parent0[0]: (2375) {G6,W5,D3,L1,V2,M1} R(234,89) { ! rf( skol2( X ), skol1
% 0.83/1.23 ( Y ) ) }.
% 0.88/1.23 parent1[0]: (99) {G3,W6,D4,L1,V1,M1} R(94,60) { rf( skol2( skol1( X ) ),
% 0.88/1.23 skol1( X ) ) }.
% 0.88/1.23 substitution0:
% 0.88/1.23 X := skol1( X )
% 0.88/1.23 Y := X
% 0.88/1.23 end
% 0.88/1.23 substitution1:
% 0.88/1.23 X := X
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 subsumption: (2390) {G7,W0,D0,L0,V0,M0} R(2375,99) { }.
% 0.88/1.23 parent0: (2618) {G4,W0,D0,L0,V0,M0} { }.
% 0.88/1.23 substitution0:
% 0.88/1.23 end
% 0.88/1.23 permutation0:
% 0.88/1.23 end
% 0.88/1.23
% 0.88/1.23 Proof check complete!
% 0.88/1.23
% 0.88/1.23 Memory use:
% 0.88/1.23
% 0.88/1.23 space for terms: 33889
% 0.88/1.23 space for clauses: 87152
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 clauses generated: 10036
% 0.88/1.23 clauses kept: 2391
% 0.88/1.23 clauses selected: 230
% 0.88/1.23 clauses deleted: 24
% 0.88/1.23 clauses inuse deleted: 10
% 0.88/1.23
% 0.88/1.23 subsentry: 56064
% 0.88/1.23 literals s-matched: 34765
% 0.88/1.23 literals matched: 31806
% 0.88/1.23 full subsumption: 18377
% 0.88/1.23
% 0.88/1.23 checksum: -141968257
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 Bliksem ended
%------------------------------------------------------------------------------