TSTP Solution File: NUM533+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 : Mon Jul 18 06:23:19 EDT 2022
% Result : Theorem 0.41s 1.00s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Wed Jul 6 15:25:07 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.41/1.00 *** allocated 10000 integers for termspace/termends
% 0.41/1.00 *** allocated 10000 integers for clauses
% 0.41/1.00 *** allocated 10000 integers for justifications
% 0.41/1.00 Bliksem 1.12
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Automatic Strategy Selection
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Clauses:
% 0.41/1.00
% 0.41/1.00 { && }.
% 0.41/1.00 { && }.
% 0.41/1.00 { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0( Y ) }.
% 0.41/1.00 { && }.
% 0.41/1.00 { ! X = slcrc0, aSet0( X ) }.
% 0.41/1.00 { ! X = slcrc0, ! aElementOf0( Y, X ) }.
% 0.41/1.00 { ! aSet0( X ), aElementOf0( skol1( X ), X ), X = slcrc0 }.
% 0.41/1.00 { isFinite0( slcrc0 ) }.
% 0.41/1.00 { && }.
% 0.41/1.00 { ! aSet0( X ), ! isCountable0( X ), ! isFinite0( X ) }.
% 0.41/1.00 { ! aSet0( X ), ! isCountable0( X ), ! X = slcrc0 }.
% 0.41/1.00 { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y ) }.
% 0.41/1.00 { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X, Y ) }.
% 0.41/1.00 { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.41/1.00 { ! alpha1( X, Y ), ! aElementOf0( Z, Y ), aElementOf0( Z, X ) }.
% 0.41/1.00 { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.41/1.00 { ! aElementOf0( skol2( X, Y ), X ), alpha1( X, Y ) }.
% 0.41/1.00 { ! aSet0( X ), ! isFinite0( X ), ! aSubsetOf0( Y, X ), isFinite0( Y ) }.
% 0.41/1.00 { ! aSet0( X ), aSubsetOf0( X, X ) }.
% 0.41/1.00 { ! aSet0( X ), ! aSet0( Y ), ! aSubsetOf0( X, Y ), ! aSubsetOf0( Y, X ), X
% 0.41/1.00 = Y }.
% 0.41/1.00 { aSet0( xA ) }.
% 0.41/1.00 { aSet0( xB ) }.
% 0.41/1.00 { aSet0( xC ) }.
% 0.41/1.00 { aSubsetOf0( xA, xB ) }.
% 0.41/1.00 { aSubsetOf0( xB, xC ) }.
% 0.41/1.00 { ! aSubsetOf0( xA, xC ) }.
% 0.41/1.00
% 0.41/1.00 percentage equality = 0.096154, percentage horn = 0.913043
% 0.41/1.00 This is a problem with some equality
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Options Used:
% 0.41/1.00
% 0.41/1.00 useres = 1
% 0.41/1.00 useparamod = 1
% 0.41/1.00 useeqrefl = 1
% 0.41/1.00 useeqfact = 1
% 0.41/1.00 usefactor = 1
% 0.41/1.00 usesimpsplitting = 0
% 0.41/1.00 usesimpdemod = 5
% 0.41/1.00 usesimpres = 3
% 0.41/1.00
% 0.41/1.00 resimpinuse = 1000
% 0.41/1.00 resimpclauses = 20000
% 0.41/1.00 substype = eqrewr
% 0.41/1.00 backwardsubs = 1
% 0.41/1.00 selectoldest = 5
% 0.41/1.00
% 0.41/1.00 litorderings [0] = split
% 0.41/1.00 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.00
% 0.41/1.00 termordering = kbo
% 0.41/1.00
% 0.41/1.00 litapriori = 0
% 0.41/1.00 termapriori = 1
% 0.41/1.00 litaposteriori = 0
% 0.41/1.00 termaposteriori = 0
% 0.41/1.00 demodaposteriori = 0
% 0.41/1.00 ordereqreflfact = 0
% 0.41/1.00
% 0.41/1.00 litselect = negord
% 0.41/1.00
% 0.41/1.00 maxweight = 15
% 0.41/1.00 maxdepth = 30000
% 0.41/1.00 maxlength = 115
% 0.41/1.00 maxnrvars = 195
% 0.41/1.00 excuselevel = 1
% 0.41/1.00 increasemaxweight = 1
% 0.41/1.00
% 0.41/1.00 maxselected = 10000000
% 0.41/1.00 maxnrclauses = 10000000
% 0.41/1.00
% 0.41/1.00 showgenerated = 0
% 0.41/1.00 showkept = 0
% 0.41/1.00 showselected = 0
% 0.41/1.00 showdeleted = 0
% 0.41/1.00 showresimp = 1
% 0.41/1.00 showstatus = 2000
% 0.41/1.00
% 0.41/1.00 prologoutput = 0
% 0.41/1.00 nrgoals = 5000000
% 0.41/1.00 totalproof = 1
% 0.41/1.00
% 0.41/1.00 Symbols occurring in the translation:
% 0.41/1.00
% 0.41/1.00 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.00 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.41/1.00 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.41/1.00 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.41/1.00 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.00 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.00 aSet0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.41/1.00 aElement0 [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.41/1.00 aElementOf0 [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.41/1.00 isFinite0 [40, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.41/1.00 slcrc0 [41, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.41/1.00 isCountable0 [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.41/1.00 aSubsetOf0 [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.41/1.00 xA [45, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.41/1.00 xB [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.41/1.00 xC [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.00 alpha1 [48, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.41/1.00 skol1 [49, 1] (w:1, o:22, a:1, s:1, b:1),
% 0.41/1.00 skol2 [50, 2] (w:1, o:50, a:1, s:1, b:1).
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Starting Search:
% 0.41/1.00
% 0.41/1.00 *** allocated 15000 integers for clauses
% 0.41/1.00 *** allocated 22500 integers for clauses
% 0.41/1.00 *** allocated 33750 integers for clauses
% 0.41/1.00
% 0.41/1.00 Bliksems!, er is een bewijs:
% 0.41/1.00 % SZS status Theorem
% 0.41/1.00 % SZS output start Refutation
% 0.41/1.00
% 0.41/1.00 (9) {G0,W8,D2,L3,V2,M3} I { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X,
% 0.41/1.00 Y ) }.
% 0.41/1.00 (10) {G0,W10,D2,L4,V2,M4} I { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y )
% 0.41/1.00 , aSubsetOf0( Y, X ) }.
% 0.41/1.00 (11) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! aElementOf0( Z, Y ),
% 0.41/1.00 aElementOf0( Z, X ) }.
% 0.41/1.00 (12) {G0,W8,D3,L2,V3,M2} I { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y
% 0.41/1.00 ) }.
% 0.41/1.00 (13) {G0,W8,D3,L2,V2,M2} I { ! aElementOf0( skol2( X, Y ), X ), alpha1( X,
% 0.41/1.00 Y ) }.
% 0.41/1.00 (17) {G0,W2,D2,L1,V0,M1} I { aSet0( xA ) }.
% 0.41/1.00 (18) {G0,W2,D2,L1,V0,M1} I { aSet0( xB ) }.
% 0.41/1.00 (19) {G0,W2,D2,L1,V0,M1} I { aSet0( xC ) }.
% 0.41/1.00 (20) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xA, xB ) }.
% 0.41/1.00 (21) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xB, xC ) }.
% 0.41/1.00 (22) {G0,W3,D2,L1,V0,M1} I { ! aSubsetOf0( xA, xC ) }.
% 0.41/1.00 (103) {G1,W3,D2,L1,V0,M1} R(9,20);r(18) { alpha1( xB, xA ) }.
% 0.41/1.00 (104) {G1,W3,D2,L1,V0,M1} R(9,21);r(19) { alpha1( xC, xB ) }.
% 0.41/1.00 (122) {G1,W5,D2,L2,V0,M2} R(10,22);r(19) { ! aSet0( xA ), ! alpha1( xC, xA
% 0.41/1.00 ) }.
% 0.41/1.00 (137) {G2,W3,D2,L1,V0,M1} S(122);r(17) { ! alpha1( xC, xA ) }.
% 0.41/1.00 (139) {G2,W6,D2,L2,V1,M2} R(11,104) { ! aElementOf0( X, xB ), aElementOf0(
% 0.41/1.00 X, xC ) }.
% 0.41/1.00 (140) {G2,W6,D2,L2,V1,M2} R(11,103) { ! aElementOf0( X, xA ), aElementOf0(
% 0.41/1.00 X, xB ) }.
% 0.41/1.00 (176) {G3,W5,D3,L1,V1,M1} R(12,137) { aElementOf0( skol2( X, xA ), xA ) }.
% 0.41/1.00 (204) {G3,W5,D3,L1,V0,M1} R(13,137) { ! aElementOf0( skol2( xC, xA ), xC )
% 0.41/1.00 }.
% 0.41/1.00 (662) {G4,W5,D3,L1,V0,M1} R(139,204) { ! aElementOf0( skol2( xC, xA ), xB )
% 0.41/1.00 }.
% 0.41/1.00 (688) {G5,W0,D0,L0,V0,M0} R(140,662);r(176) { }.
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 % SZS output end Refutation
% 0.41/1.00 found a proof!
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Unprocessed initial clauses:
% 0.41/1.00
% 0.41/1.00 (690) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.00 (691) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.00 (692) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aElementOf0( Y, X ), aElement0
% 0.41/1.00 ( Y ) }.
% 0.41/1.00 (693) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.00 (694) {G0,W5,D2,L2,V1,M2} { ! X = slcrc0, aSet0( X ) }.
% 0.41/1.00 (695) {G0,W6,D2,L2,V2,M2} { ! X = slcrc0, ! aElementOf0( Y, X ) }.
% 0.41/1.00 (696) {G0,W9,D3,L3,V1,M3} { ! aSet0( X ), aElementOf0( skol1( X ), X ), X
% 0.41/1.00 = slcrc0 }.
% 0.41/1.00 (697) {G0,W2,D2,L1,V0,M1} { isFinite0( slcrc0 ) }.
% 0.41/1.00 (698) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.00 (699) {G0,W6,D2,L3,V1,M3} { ! aSet0( X ), ! isCountable0( X ), ! isFinite0
% 0.41/1.00 ( X ) }.
% 0.41/1.00 (700) {G0,W7,D2,L3,V1,M3} { ! aSet0( X ), ! isCountable0( X ), ! X =
% 0.41/1.00 slcrc0 }.
% 0.41/1.00 (701) {G0,W7,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), aSet0( Y )
% 0.41/1.00 }.
% 0.41/1.00 (702) {G0,W8,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ), alpha1( X
% 0.41/1.00 , Y ) }.
% 0.41/1.00 (703) {G0,W10,D2,L4,V2,M4} { ! aSet0( X ), ! aSet0( Y ), ! alpha1( X, Y )
% 0.41/1.00 , aSubsetOf0( Y, X ) }.
% 0.41/1.00 (704) {G0,W9,D2,L3,V3,M3} { ! alpha1( X, Y ), ! aElementOf0( Z, Y ),
% 0.41/1.00 aElementOf0( Z, X ) }.
% 0.41/1.00 (705) {G0,W8,D3,L2,V3,M2} { aElementOf0( skol2( Z, Y ), Y ), alpha1( X, Y
% 0.41/1.00 ) }.
% 0.41/1.00 (706) {G0,W8,D3,L2,V2,M2} { ! aElementOf0( skol2( X, Y ), X ), alpha1( X,
% 0.41/1.00 Y ) }.
% 0.41/1.00 (707) {G0,W9,D2,L4,V2,M4} { ! aSet0( X ), ! isFinite0( X ), ! aSubsetOf0(
% 0.41/1.00 Y, X ), isFinite0( Y ) }.
% 0.41/1.00 (708) {G0,W5,D2,L2,V1,M2} { ! aSet0( X ), aSubsetOf0( X, X ) }.
% 0.41/1.00 (709) {G0,W13,D2,L5,V2,M5} { ! aSet0( X ), ! aSet0( Y ), ! aSubsetOf0( X,
% 0.41/1.00 Y ), ! aSubsetOf0( Y, X ), X = Y }.
% 0.41/1.00 (710) {G0,W2,D2,L1,V0,M1} { aSet0( xA ) }.
% 0.41/1.00 (711) {G0,W2,D2,L1,V0,M1} { aSet0( xB ) }.
% 0.41/1.00 (712) {G0,W2,D2,L1,V0,M1} { aSet0( xC ) }.
% 0.41/1.00 (713) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xA, xB ) }.
% 0.41/1.00 (714) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xB, xC ) }.
% 0.41/1.00 (715) {G0,W3,D2,L1,V0,M1} { ! aSubsetOf0( xA, xC ) }.
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Total Proof:
% 0.41/1.00
% 0.41/1.00 subsumption: (9) {G0,W8,D2,L3,V2,M3} I { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.41/1.00 , alpha1( X, Y ) }.
% 0.41/1.00 parent0: (702) {G0,W8,D2,L3,V2,M3} { ! aSet0( X ), ! aSubsetOf0( Y, X ),
% 0.41/1.00 alpha1( X, Y ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 Y := Y
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 2 ==> 2
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (10) {G0,W10,D2,L4,V2,M4} I { ! aSet0( X ), ! aSet0( Y ), !
% 0.41/1.00 alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.41/1.00 parent0: (703) {G0,W10,D2,L4,V2,M4} { ! aSet0( X ), ! aSet0( Y ), ! alpha1
% 0.41/1.00 ( X, Y ), aSubsetOf0( Y, X ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 Y := Y
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 2 ==> 2
% 0.41/1.00 3 ==> 3
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (11) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! aElementOf0(
% 0.41/1.00 Z, Y ), aElementOf0( Z, X ) }.
% 0.41/1.00 parent0: (704) {G0,W9,D2,L3,V3,M3} { ! alpha1( X, Y ), ! aElementOf0( Z, Y
% 0.41/1.00 ), aElementOf0( Z, X ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 Y := Y
% 0.41/1.00 Z := Z
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 2 ==> 2
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (12) {G0,W8,D3,L2,V3,M2} I { aElementOf0( skol2( Z, Y ), Y ),
% 0.41/1.00 alpha1( X, Y ) }.
% 0.41/1.00 parent0: (705) {G0,W8,D3,L2,V3,M2} { aElementOf0( skol2( Z, Y ), Y ),
% 0.41/1.00 alpha1( X, Y ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 Y := Y
% 0.41/1.00 Z := Z
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (13) {G0,W8,D3,L2,V2,M2} I { ! aElementOf0( skol2( X, Y ), X )
% 0.41/1.00 , alpha1( X, Y ) }.
% 0.41/1.00 parent0: (706) {G0,W8,D3,L2,V2,M2} { ! aElementOf0( skol2( X, Y ), X ),
% 0.41/1.00 alpha1( X, Y ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 Y := Y
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (17) {G0,W2,D2,L1,V0,M1} I { aSet0( xA ) }.
% 0.41/1.00 parent0: (710) {G0,W2,D2,L1,V0,M1} { aSet0( xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (18) {G0,W2,D2,L1,V0,M1} I { aSet0( xB ) }.
% 0.41/1.00 parent0: (711) {G0,W2,D2,L1,V0,M1} { aSet0( xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (19) {G0,W2,D2,L1,V0,M1} I { aSet0( xC ) }.
% 0.41/1.00 parent0: (712) {G0,W2,D2,L1,V0,M1} { aSet0( xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (20) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xA, xB ) }.
% 0.41/1.00 parent0: (713) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xA, xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (21) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xB, xC ) }.
% 0.41/1.00 parent0: (714) {G0,W3,D2,L1,V0,M1} { aSubsetOf0( xB, xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (22) {G0,W3,D2,L1,V0,M1} I { ! aSubsetOf0( xA, xC ) }.
% 0.41/1.00 parent0: (715) {G0,W3,D2,L1,V0,M1} { ! aSubsetOf0( xA, xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (788) {G1,W5,D2,L2,V0,M2} { ! aSet0( xB ), alpha1( xB, xA )
% 0.41/1.00 }.
% 0.41/1.00 parent0[1]: (9) {G0,W8,D2,L3,V2,M3} I { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.41/1.00 , alpha1( X, Y ) }.
% 0.41/1.00 parent1[0]: (20) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xA, xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := xB
% 0.41/1.00 Y := xA
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (789) {G1,W3,D2,L1,V0,M1} { alpha1( xB, xA ) }.
% 0.41/1.00 parent0[0]: (788) {G1,W5,D2,L2,V0,M2} { ! aSet0( xB ), alpha1( xB, xA )
% 0.41/1.00 }.
% 0.41/1.00 parent1[0]: (18) {G0,W2,D2,L1,V0,M1} I { aSet0( xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (103) {G1,W3,D2,L1,V0,M1} R(9,20);r(18) { alpha1( xB, xA ) }.
% 0.41/1.00 parent0: (789) {G1,W3,D2,L1,V0,M1} { alpha1( xB, xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (790) {G1,W5,D2,L2,V0,M2} { ! aSet0( xC ), alpha1( xC, xB )
% 0.41/1.00 }.
% 0.41/1.00 parent0[1]: (9) {G0,W8,D2,L3,V2,M3} I { ! aSet0( X ), ! aSubsetOf0( Y, X )
% 0.41/1.00 , alpha1( X, Y ) }.
% 0.41/1.00 parent1[0]: (21) {G0,W3,D2,L1,V0,M1} I { aSubsetOf0( xB, xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := xC
% 0.41/1.00 Y := xB
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (791) {G1,W3,D2,L1,V0,M1} { alpha1( xC, xB ) }.
% 0.41/1.00 parent0[0]: (790) {G1,W5,D2,L2,V0,M2} { ! aSet0( xC ), alpha1( xC, xB )
% 0.41/1.00 }.
% 0.41/1.00 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { aSet0( xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (104) {G1,W3,D2,L1,V0,M1} R(9,21);r(19) { alpha1( xC, xB ) }.
% 0.41/1.00 parent0: (791) {G1,W3,D2,L1,V0,M1} { alpha1( xC, xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (792) {G1,W7,D2,L3,V0,M3} { ! aSet0( xC ), ! aSet0( xA ), !
% 0.41/1.00 alpha1( xC, xA ) }.
% 0.41/1.00 parent0[0]: (22) {G0,W3,D2,L1,V0,M1} I { ! aSubsetOf0( xA, xC ) }.
% 0.41/1.00 parent1[3]: (10) {G0,W10,D2,L4,V2,M4} I { ! aSet0( X ), ! aSet0( Y ), !
% 0.41/1.00 alpha1( X, Y ), aSubsetOf0( Y, X ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 X := xC
% 0.41/1.00 Y := xA
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (793) {G1,W5,D2,L2,V0,M2} { ! aSet0( xA ), ! alpha1( xC, xA )
% 0.41/1.00 }.
% 0.41/1.00 parent0[0]: (792) {G1,W7,D2,L3,V0,M3} { ! aSet0( xC ), ! aSet0( xA ), !
% 0.41/1.00 alpha1( xC, xA ) }.
% 0.41/1.00 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { aSet0( xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (122) {G1,W5,D2,L2,V0,M2} R(10,22);r(19) { ! aSet0( xA ), !
% 0.41/1.00 alpha1( xC, xA ) }.
% 0.41/1.00 parent0: (793) {G1,W5,D2,L2,V0,M2} { ! aSet0( xA ), ! alpha1( xC, xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (794) {G1,W3,D2,L1,V0,M1} { ! alpha1( xC, xA ) }.
% 0.41/1.00 parent0[0]: (122) {G1,W5,D2,L2,V0,M2} R(10,22);r(19) { ! aSet0( xA ), !
% 0.41/1.00 alpha1( xC, xA ) }.
% 0.41/1.00 parent1[0]: (17) {G0,W2,D2,L1,V0,M1} I { aSet0( xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (137) {G2,W3,D2,L1,V0,M1} S(122);r(17) { ! alpha1( xC, xA )
% 0.41/1.00 }.
% 0.41/1.00 parent0: (794) {G1,W3,D2,L1,V0,M1} { ! alpha1( xC, xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (795) {G1,W6,D2,L2,V1,M2} { ! aElementOf0( X, xB ),
% 0.41/1.00 aElementOf0( X, xC ) }.
% 0.41/1.00 parent0[0]: (11) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! aElementOf0( Z
% 0.41/1.00 , Y ), aElementOf0( Z, X ) }.
% 0.41/1.00 parent1[0]: (104) {G1,W3,D2,L1,V0,M1} R(9,21);r(19) { alpha1( xC, xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := xC
% 0.41/1.00 Y := xB
% 0.41/1.00 Z := X
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (139) {G2,W6,D2,L2,V1,M2} R(11,104) { ! aElementOf0( X, xB ),
% 0.41/1.00 aElementOf0( X, xC ) }.
% 0.41/1.00 parent0: (795) {G1,W6,D2,L2,V1,M2} { ! aElementOf0( X, xB ), aElementOf0(
% 0.41/1.00 X, xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (796) {G1,W6,D2,L2,V1,M2} { ! aElementOf0( X, xA ),
% 0.41/1.00 aElementOf0( X, xB ) }.
% 0.41/1.00 parent0[0]: (11) {G0,W9,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! aElementOf0( Z
% 0.41/1.00 , Y ), aElementOf0( Z, X ) }.
% 0.41/1.00 parent1[0]: (103) {G1,W3,D2,L1,V0,M1} R(9,20);r(18) { alpha1( xB, xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := xB
% 0.41/1.00 Y := xA
% 0.41/1.00 Z := X
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (140) {G2,W6,D2,L2,V1,M2} R(11,103) { ! aElementOf0( X, xA ),
% 0.41/1.00 aElementOf0( X, xB ) }.
% 0.41/1.00 parent0: (796) {G1,W6,D2,L2,V1,M2} { ! aElementOf0( X, xA ), aElementOf0(
% 0.41/1.00 X, xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 1 ==> 1
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (797) {G1,W5,D3,L1,V1,M1} { aElementOf0( skol2( X, xA ), xA )
% 0.41/1.00 }.
% 0.41/1.00 parent0[0]: (137) {G2,W3,D2,L1,V0,M1} S(122);r(17) { ! alpha1( xC, xA ) }.
% 0.41/1.00 parent1[1]: (12) {G0,W8,D3,L2,V3,M2} I { aElementOf0( skol2( Z, Y ), Y ),
% 0.41/1.00 alpha1( X, Y ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 X := xC
% 0.41/1.00 Y := xA
% 0.41/1.00 Z := X
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (176) {G3,W5,D3,L1,V1,M1} R(12,137) { aElementOf0( skol2( X,
% 0.41/1.00 xA ), xA ) }.
% 0.41/1.00 parent0: (797) {G1,W5,D3,L1,V1,M1} { aElementOf0( skol2( X, xA ), xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 X := X
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (798) {G1,W5,D3,L1,V0,M1} { ! aElementOf0( skol2( xC, xA ), xC
% 0.41/1.00 ) }.
% 0.41/1.00 parent0[0]: (137) {G2,W3,D2,L1,V0,M1} S(122);r(17) { ! alpha1( xC, xA ) }.
% 0.41/1.00 parent1[1]: (13) {G0,W8,D3,L2,V2,M2} I { ! aElementOf0( skol2( X, Y ), X )
% 0.41/1.00 , alpha1( X, Y ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 X := xC
% 0.41/1.00 Y := xA
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (204) {G3,W5,D3,L1,V0,M1} R(13,137) { ! aElementOf0( skol2( xC
% 0.41/1.00 , xA ), xC ) }.
% 0.41/1.00 parent0: (798) {G1,W5,D3,L1,V0,M1} { ! aElementOf0( skol2( xC, xA ), xC )
% 0.41/1.00 }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (799) {G3,W5,D3,L1,V0,M1} { ! aElementOf0( skol2( xC, xA ), xB
% 0.41/1.00 ) }.
% 0.41/1.00 parent0[0]: (204) {G3,W5,D3,L1,V0,M1} R(13,137) { ! aElementOf0( skol2( xC
% 0.41/1.00 , xA ), xC ) }.
% 0.41/1.00 parent1[1]: (139) {G2,W6,D2,L2,V1,M2} R(11,104) { ! aElementOf0( X, xB ),
% 0.41/1.00 aElementOf0( X, xC ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 X := skol2( xC, xA )
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (662) {G4,W5,D3,L1,V0,M1} R(139,204) { ! aElementOf0( skol2(
% 0.41/1.00 xC, xA ), xB ) }.
% 0.41/1.00 parent0: (799) {G3,W5,D3,L1,V0,M1} { ! aElementOf0( skol2( xC, xA ), xB )
% 0.41/1.00 }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 0 ==> 0
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (800) {G3,W5,D3,L1,V0,M1} { ! aElementOf0( skol2( xC, xA ), xA
% 0.41/1.00 ) }.
% 0.41/1.00 parent0[0]: (662) {G4,W5,D3,L1,V0,M1} R(139,204) { ! aElementOf0( skol2( xC
% 0.41/1.00 , xA ), xB ) }.
% 0.41/1.00 parent1[1]: (140) {G2,W6,D2,L2,V1,M2} R(11,103) { ! aElementOf0( X, xA ),
% 0.41/1.00 aElementOf0( X, xB ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 X := skol2( xC, xA )
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 resolution: (801) {G4,W0,D0,L0,V0,M0} { }.
% 0.41/1.00 parent0[0]: (800) {G3,W5,D3,L1,V0,M1} { ! aElementOf0( skol2( xC, xA ), xA
% 0.41/1.00 ) }.
% 0.41/1.00 parent1[0]: (176) {G3,W5,D3,L1,V1,M1} R(12,137) { aElementOf0( skol2( X, xA
% 0.41/1.00 ), xA ) }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 substitution1:
% 0.41/1.00 X := xC
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 subsumption: (688) {G5,W0,D0,L0,V0,M0} R(140,662);r(176) { }.
% 0.41/1.00 parent0: (801) {G4,W0,D0,L0,V0,M0} { }.
% 0.41/1.00 substitution0:
% 0.41/1.00 end
% 0.41/1.00 permutation0:
% 0.41/1.00 end
% 0.41/1.00
% 0.41/1.00 Proof check complete!
% 0.41/1.00
% 0.41/1.00 Memory use:
% 0.41/1.00
% 0.41/1.00 space for terms: 8459
% 0.41/1.00 space for clauses: 28278
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 clauses generated: 3075
% 0.41/1.00 clauses kept: 689
% 0.41/1.00 clauses selected: 126
% 0.41/1.00 clauses deleted: 11
% 0.41/1.00 clauses inuse deleted: 0
% 0.41/1.00
% 0.41/1.00 subsentry: 4718
% 0.41/1.00 literals s-matched: 3675
% 0.41/1.00 literals matched: 3120
% 0.41/1.00 full subsumption: 627
% 0.41/1.00
% 0.41/1.00 checksum: -506681154
% 0.41/1.00
% 0.41/1.00
% 0.41/1.00 Bliksem ended
%------------------------------------------------------------------------------