TSTP Solution File: NUM852+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:27:05 EDT 2022
% Result : Theorem 0.69s 1.12s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 21:47:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.12 *** allocated 10000 integers for termspace/termends
% 0.69/1.12 *** allocated 10000 integers for clauses
% 0.69/1.12 *** allocated 10000 integers for justifications
% 0.69/1.12 Bliksem 1.12
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Automatic Strategy Selection
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Clauses:
% 0.69/1.12
% 0.69/1.12 { ! greater( vmul( vd481, vd469 ), vmul( vd480, vd469 ) ) }.
% 0.69/1.12 { greater( vd481, vd480 ) }.
% 0.69/1.12 { less( vd480, vd481 ) }.
% 0.69/1.12 { ! X = Y, vmul( X, vd469 ) = vmul( Y, vd469 ) }.
% 0.69/1.12 { ! greater( X, Y ), greater( vplus( vmul( Y, vd469 ), vmul( vskolem9( X, Y
% 0.69/1.12 ), vd469 ) ), vmul( Y, vd469 ) ) }.
% 0.69/1.12 { ! greater( X, Y ), vmul( vplus( Y, vskolem9( X, Y ) ), vd469 ) = vplus(
% 0.69/1.12 vmul( Y, vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) }.
% 0.69/1.12 { ! greater( X, Y ), vmul( X, vd469 ) = vmul( vplus( Y, vskolem9( X, Y ) )
% 0.69/1.12 , vd469 ) }.
% 0.69/1.12 { ! greater( X, Y ), X = vplus( Y, vskolem9( X, Y ) ) }.
% 0.69/1.12 { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z ) ) }.
% 0.69/1.12 { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y ), vmul( X, Z ) ) }.
% 0.69/1.12 { vmul( X, Y ) = vmul( Y, X ) }.
% 0.69/1.12 { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ), Y ) }.
% 0.69/1.12 { ! less( X, Y ), greater( Y, X ) }.
% 0.69/1.12 { ! greater( X, Y ), less( Y, X ) }.
% 0.69/1.12 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.69/1.12 { ! X = Y, ! less( X, Y ) }.
% 0.69/1.12 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.69/1.12 { ! X = Y, ! greater( X, Y ) }.
% 0.69/1.12 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.69/1.12 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.69/1.12 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.69/1.12 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.69/1.12
% 0.69/1.12 percentage equality = 0.421053, percentage horn = 0.954545
% 0.69/1.12 This is a problem with some equality
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Options Used:
% 0.69/1.12
% 0.69/1.12 useres = 1
% 0.69/1.12 useparamod = 1
% 0.69/1.12 useeqrefl = 1
% 0.69/1.12 useeqfact = 1
% 0.69/1.12 usefactor = 1
% 0.69/1.12 usesimpsplitting = 0
% 0.69/1.12 usesimpdemod = 5
% 0.69/1.12 usesimpres = 3
% 0.69/1.12
% 0.69/1.12 resimpinuse = 1000
% 0.69/1.12 resimpclauses = 20000
% 0.69/1.12 substype = eqrewr
% 0.69/1.12 backwardsubs = 1
% 0.69/1.12 selectoldest = 5
% 0.69/1.12
% 0.69/1.12 litorderings [0] = split
% 0.69/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.12
% 0.69/1.12 termordering = kbo
% 0.69/1.12
% 0.69/1.12 litapriori = 0
% 0.69/1.12 termapriori = 1
% 0.69/1.12 litaposteriori = 0
% 0.69/1.12 termaposteriori = 0
% 0.69/1.12 demodaposteriori = 0
% 0.69/1.12 ordereqreflfact = 0
% 0.69/1.12
% 0.69/1.12 litselect = negord
% 0.69/1.12
% 0.69/1.12 maxweight = 15
% 0.69/1.12 maxdepth = 30000
% 0.69/1.12 maxlength = 115
% 0.69/1.12 maxnrvars = 195
% 0.69/1.12 excuselevel = 1
% 0.69/1.12 increasemaxweight = 1
% 0.69/1.12
% 0.69/1.12 maxselected = 10000000
% 0.69/1.12 maxnrclauses = 10000000
% 0.69/1.12
% 0.69/1.12 showgenerated = 0
% 0.69/1.12 showkept = 0
% 0.69/1.12 showselected = 0
% 0.69/1.12 showdeleted = 0
% 0.69/1.12 showresimp = 1
% 0.69/1.12 showstatus = 2000
% 0.69/1.12
% 0.69/1.12 prologoutput = 0
% 0.69/1.12 nrgoals = 5000000
% 0.69/1.12 totalproof = 1
% 0.69/1.12
% 0.69/1.12 Symbols occurring in the translation:
% 0.69/1.12
% 0.69/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.12 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.69/1.12 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 0.69/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 vd481 [35, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.12 vd469 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.12 vmul [37, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.69/1.12 vd480 [38, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.69/1.12 greater [39, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.69/1.12 less [40, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.69/1.12 vskolem9 [45, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.69/1.12 vplus [46, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.69/1.12 vsucc [57, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.69/1.12 skol1 [70, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.69/1.12 skol2 [71, 2] (w:1, o:71, a:1, s:1, b:1).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Starting Search:
% 0.69/1.12
% 0.69/1.12 *** allocated 15000 integers for clauses
% 0.69/1.12 *** allocated 22500 integers for clauses
% 0.69/1.12 *** allocated 33750 integers for clauses
% 0.69/1.12 *** allocated 50625 integers for clauses
% 0.69/1.12
% 0.69/1.12 Bliksems!, er is een bewijs:
% 0.69/1.12 % SZS status Theorem
% 0.69/1.12 % SZS output start Refutation
% 0.69/1.12
% 0.69/1.12 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd481, vd469 ), vmul( vd480,
% 0.69/1.12 vd469 ) ) }.
% 0.69/1.12 (1) {G0,W3,D2,L1,V0,M1} I { greater( vd481, vd480 ) }.
% 0.69/1.12 (5) {G0,W20,D5,L2,V2,M2} I { ! greater( X, Y ), vplus( vmul( Y, vd469 ),
% 0.69/1.12 vmul( vskolem9( X, Y ), vd469 ) ) ==> vmul( vplus( Y, vskolem9( X, Y ) )
% 0.69/1.12 , vd469 ) }.
% 0.69/1.12 (6) {G0,W14,D5,L2,V2,M2} I { ! greater( X, Y ), vmul( vplus( Y, vskolem9( X
% 0.69/1.12 , Y ) ), vd469 ) ==> vmul( X, vd469 ) }.
% 0.69/1.12 (21) {G0,W8,D3,L2,V3,M2} I { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.69/1.12 (39) {G1,W16,D5,L2,V2,M2} S(5);d(6) { ! greater( X, Y ), vplus( vmul( Y,
% 0.69/1.12 vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) ==> vmul( X, vd469 ) }.
% 0.69/1.12 (82) {G1,W9,D4,L1,V1,M1} R(21,0) { ! vplus( vmul( vd480, vd469 ), X ) ==>
% 0.69/1.12 vmul( vd481, vd469 ) }.
% 0.69/1.12 (646) {G2,W0,D0,L0,V0,M0} R(39,1);r(82) { }.
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 % SZS output end Refutation
% 0.69/1.12 found a proof!
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Unprocessed initial clauses:
% 0.69/1.12
% 0.69/1.12 (648) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd481, vd469 ), vmul( vd480,
% 0.69/1.12 vd469 ) ) }.
% 0.69/1.12 (649) {G0,W3,D2,L1,V0,M1} { greater( vd481, vd480 ) }.
% 0.69/1.12 (650) {G0,W3,D2,L1,V0,M1} { less( vd480, vd481 ) }.
% 0.69/1.12 (651) {G0,W10,D3,L2,V2,M2} { ! X = Y, vmul( X, vd469 ) = vmul( Y, vd469 )
% 0.69/1.12 }.
% 0.69/1.12 (652) {G0,W16,D5,L2,V2,M2} { ! greater( X, Y ), greater( vplus( vmul( Y,
% 0.69/1.12 vd469 ), vmul( vskolem9( X, Y ), vd469 ) ), vmul( Y, vd469 ) ) }.
% 0.69/1.12 (653) {G0,W20,D5,L2,V2,M2} { ! greater( X, Y ), vmul( vplus( Y, vskolem9(
% 0.69/1.12 X, Y ) ), vd469 ) = vplus( vmul( Y, vd469 ), vmul( vskolem9( X, Y ),
% 0.69/1.12 vd469 ) ) }.
% 0.69/1.12 (654) {G0,W14,D5,L2,V2,M2} { ! greater( X, Y ), vmul( X, vd469 ) = vmul(
% 0.69/1.12 vplus( Y, vskolem9( X, Y ) ), vd469 ) }.
% 0.69/1.12 (655) {G0,W10,D4,L2,V2,M2} { ! greater( X, Y ), X = vplus( Y, vskolem9( X
% 0.69/1.12 , Y ) ) }.
% 0.69/1.12 (656) {G0,W11,D4,L1,V3,M1} { vmul( vmul( X, Y ), Z ) = vmul( X, vmul( Y, Z
% 0.69/1.12 ) ) }.
% 0.69/1.12 (657) {G0,W13,D4,L1,V3,M1} { vmul( X, vplus( Y, Z ) ) = vplus( vmul( X, Y
% 0.69/1.12 ), vmul( X, Z ) ) }.
% 0.69/1.12 (658) {G0,W7,D3,L1,V2,M1} { vmul( X, Y ) = vmul( Y, X ) }.
% 0.69/1.12 (659) {G0,W10,D4,L1,V2,M1} { vmul( vsucc( X ), Y ) = vplus( vmul( X, Y ),
% 0.69/1.12 Y ) }.
% 0.69/1.12 (660) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.69/1.12 (661) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.69/1.12 (662) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.69/1.12 (663) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.69/1.12 (664) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.69/1.12 (665) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.69/1.12 (666) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) )
% 0.69/1.12 }.
% 0.69/1.12 (667) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.69/1.12 (668) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.69/1.12 ) ) }.
% 0.69/1.12 (669) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Total Proof:
% 0.69/1.12
% 0.69/1.12 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd481, vd469 ),
% 0.69/1.12 vmul( vd480, vd469 ) ) }.
% 0.69/1.12 parent0: (648) {G0,W7,D3,L1,V0,M1} { ! greater( vmul( vd481, vd469 ), vmul
% 0.69/1.12 ( vd480, vd469 ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd481, vd480 ) }.
% 0.69/1.12 parent0: (649) {G0,W3,D2,L1,V0,M1} { greater( vd481, vd480 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (671) {G0,W20,D5,L2,V2,M2} { vplus( vmul( X, vd469 ), vmul(
% 0.69/1.12 vskolem9( Y, X ), vd469 ) ) = vmul( vplus( X, vskolem9( Y, X ) ), vd469 )
% 0.69/1.12 , ! greater( Y, X ) }.
% 0.69/1.12 parent0[1]: (653) {G0,W20,D5,L2,V2,M2} { ! greater( X, Y ), vmul( vplus( Y
% 0.69/1.12 , vskolem9( X, Y ) ), vd469 ) = vplus( vmul( Y, vd469 ), vmul( vskolem9(
% 0.69/1.12 X, Y ), vd469 ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (5) {G0,W20,D5,L2,V2,M2} I { ! greater( X, Y ), vplus( vmul( Y
% 0.69/1.12 , vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) ==> vmul( vplus( Y, vskolem9
% 0.69/1.12 ( X, Y ) ), vd469 ) }.
% 0.69/1.12 parent0: (671) {G0,W20,D5,L2,V2,M2} { vplus( vmul( X, vd469 ), vmul(
% 0.69/1.12 vskolem9( Y, X ), vd469 ) ) = vmul( vplus( X, vskolem9( Y, X ) ), vd469 )
% 0.69/1.12 , ! greater( Y, X ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 1
% 0.69/1.12 1 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (674) {G0,W14,D5,L2,V2,M2} { vmul( vplus( Y, vskolem9( X, Y ) ),
% 0.69/1.12 vd469 ) = vmul( X, vd469 ), ! greater( X, Y ) }.
% 0.69/1.12 parent0[1]: (654) {G0,W14,D5,L2,V2,M2} { ! greater( X, Y ), vmul( X, vd469
% 0.69/1.12 ) = vmul( vplus( Y, vskolem9( X, Y ) ), vd469 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (6) {G0,W14,D5,L2,V2,M2} I { ! greater( X, Y ), vmul( vplus( Y
% 0.69/1.12 , vskolem9( X, Y ) ), vd469 ) ==> vmul( X, vd469 ) }.
% 0.69/1.12 parent0: (674) {G0,W14,D5,L2,V2,M2} { vmul( vplus( Y, vskolem9( X, Y ) ),
% 0.69/1.12 vd469 ) = vmul( X, vd469 ), ! greater( X, Y ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 1
% 0.69/1.12 1 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (21) {G0,W8,D3,L2,V3,M2} I { ! Y = vplus( X, Z ), greater( Y,
% 0.69/1.12 X ) }.
% 0.69/1.12 parent0: (669) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X )
% 0.69/1.12 }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 Z := Z
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 1 ==> 1
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (691) {G1,W19,D5,L3,V2,M3} { vplus( vmul( X, vd469 ), vmul(
% 0.69/1.12 vskolem9( Y, X ), vd469 ) ) ==> vmul( Y, vd469 ), ! greater( Y, X ), !
% 0.69/1.12 greater( Y, X ) }.
% 0.69/1.12 parent0[1]: (6) {G0,W14,D5,L2,V2,M2} I { ! greater( X, Y ), vmul( vplus( Y
% 0.69/1.12 , vskolem9( X, Y ) ), vd469 ) ==> vmul( X, vd469 ) }.
% 0.69/1.12 parent1[1; 10]: (5) {G0,W20,D5,L2,V2,M2} I { ! greater( X, Y ), vplus( vmul
% 0.69/1.12 ( Y, vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) ==> vmul( vplus( Y,
% 0.69/1.12 vskolem9( X, Y ) ), vd469 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 factor: (694) {G1,W16,D5,L2,V2,M2} { vplus( vmul( X, vd469 ), vmul(
% 0.69/1.12 vskolem9( Y, X ), vd469 ) ) ==> vmul( Y, vd469 ), ! greater( Y, X ) }.
% 0.69/1.12 parent0[1, 2]: (691) {G1,W19,D5,L3,V2,M3} { vplus( vmul( X, vd469 ), vmul
% 0.69/1.12 ( vskolem9( Y, X ), vd469 ) ) ==> vmul( Y, vd469 ), ! greater( Y, X ), !
% 0.69/1.12 greater( Y, X ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (39) {G1,W16,D5,L2,V2,M2} S(5);d(6) { ! greater( X, Y ), vplus
% 0.69/1.12 ( vmul( Y, vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) ==> vmul( X, vd469
% 0.69/1.12 ) }.
% 0.69/1.12 parent0: (694) {G1,W16,D5,L2,V2,M2} { vplus( vmul( X, vd469 ), vmul(
% 0.69/1.12 vskolem9( Y, X ), vd469 ) ) ==> vmul( Y, vd469 ), ! greater( Y, X ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 1
% 0.69/1.12 1 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (695) {G0,W8,D3,L2,V3,M2} { ! vplus( Y, Z ) = X, greater( X, Y )
% 0.69/1.12 }.
% 0.69/1.12 parent0[0]: (21) {G0,W8,D3,L2,V3,M2} I { ! Y = vplus( X, Z ), greater( Y, X
% 0.69/1.12 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 Z := Z
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 resolution: (696) {G1,W9,D4,L1,V1,M1} { ! vplus( vmul( vd480, vd469 ), X )
% 0.69/1.12 = vmul( vd481, vd469 ) }.
% 0.69/1.12 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vmul( vd481, vd469 ),
% 0.69/1.12 vmul( vd480, vd469 ) ) }.
% 0.69/1.12 parent1[1]: (695) {G0,W8,D3,L2,V3,M2} { ! vplus( Y, Z ) = X, greater( X, Y
% 0.69/1.12 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 X := vmul( vd481, vd469 )
% 0.69/1.12 Y := vmul( vd480, vd469 )
% 0.69/1.12 Z := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (82) {G1,W9,D4,L1,V1,M1} R(21,0) { ! vplus( vmul( vd480, vd469
% 0.69/1.12 ), X ) ==> vmul( vd481, vd469 ) }.
% 0.69/1.12 parent0: (696) {G1,W9,D4,L1,V1,M1} { ! vplus( vmul( vd480, vd469 ), X ) =
% 0.69/1.12 vmul( vd481, vd469 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (698) {G1,W16,D5,L2,V2,M2} { vmul( Y, vd469 ) ==> vplus( vmul( X,
% 0.69/1.12 vd469 ), vmul( vskolem9( Y, X ), vd469 ) ), ! greater( Y, X ) }.
% 0.69/1.12 parent0[1]: (39) {G1,W16,D5,L2,V2,M2} S(5);d(6) { ! greater( X, Y ), vplus
% 0.69/1.12 ( vmul( Y, vd469 ), vmul( vskolem9( X, Y ), vd469 ) ) ==> vmul( X, vd469
% 0.69/1.12 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := Y
% 0.69/1.12 Y := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (699) {G1,W9,D4,L1,V1,M1} { ! vmul( vd481, vd469 ) ==> vplus( vmul
% 0.69/1.12 ( vd480, vd469 ), X ) }.
% 0.69/1.12 parent0[0]: (82) {G1,W9,D4,L1,V1,M1} R(21,0) { ! vplus( vmul( vd480, vd469
% 0.69/1.12 ), X ) ==> vmul( vd481, vd469 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 resolution: (700) {G1,W13,D5,L1,V0,M1} { vmul( vd481, vd469 ) ==> vplus(
% 0.69/1.12 vmul( vd480, vd469 ), vmul( vskolem9( vd481, vd480 ), vd469 ) ) }.
% 0.69/1.12 parent0[1]: (698) {G1,W16,D5,L2,V2,M2} { vmul( Y, vd469 ) ==> vplus( vmul
% 0.69/1.12 ( X, vd469 ), vmul( vskolem9( Y, X ), vd469 ) ), ! greater( Y, X ) }.
% 0.69/1.12 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd481, vd480 ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := vd480
% 0.69/1.12 Y := vd481
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 resolution: (701) {G2,W0,D0,L0,V0,M0} { }.
% 0.69/1.12 parent0[0]: (699) {G1,W9,D4,L1,V1,M1} { ! vmul( vd481, vd469 ) ==> vplus(
% 0.69/1.12 vmul( vd480, vd469 ), X ) }.
% 0.69/1.12 parent1[0]: (700) {G1,W13,D5,L1,V0,M1} { vmul( vd481, vd469 ) ==> vplus(
% 0.69/1.12 vmul( vd480, vd469 ), vmul( vskolem9( vd481, vd480 ), vd469 ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := vmul( vskolem9( vd481, vd480 ), vd469 )
% 0.69/1.12 end
% 0.69/1.12 substitution1:
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (646) {G2,W0,D0,L0,V0,M0} R(39,1);r(82) { }.
% 0.69/1.12 parent0: (701) {G2,W0,D0,L0,V0,M0} { }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 Proof check complete!
% 0.69/1.12
% 0.69/1.12 Memory use:
% 0.69/1.12
% 0.69/1.12 space for terms: 9008
% 0.69/1.12 space for clauses: 39036
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 clauses generated: 2157
% 0.69/1.12 clauses kept: 647
% 0.69/1.12 clauses selected: 98
% 0.69/1.12 clauses deleted: 3
% 0.69/1.12 clauses inuse deleted: 0
% 0.69/1.12
% 0.69/1.12 subsentry: 4853
% 0.69/1.12 literals s-matched: 3624
% 0.69/1.12 literals matched: 3624
% 0.69/1.12 full subsumption: 1800
% 0.69/1.12
% 0.69/1.12 checksum: -623785808
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Bliksem ended
%------------------------------------------------------------------------------