%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM836+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 06:26:53 EDT 2022
% Result : Theorem 0.46s 1.08s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM836+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jul 5 08:15:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.08 *** allocated 10000 integers for termspace/termends
% 0.46/1.08 *** allocated 10000 integers for clauses
% 0.46/1.08 *** allocated 10000 integers for justifications
% 0.46/1.08 Bliksem 1.12
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 Automatic Strategy Selection
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 Clauses:
% 0.46/1.08
% 0.46/1.08 { greater( vd203, vd204 ) }.
% 0.46/1.08 { less( vd203, vd204 ) }.
% 0.46/1.08 { ! vd203 = vd204, ! greater( vd203, vd204 ) }.
% 0.46/1.08 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.46/1.08 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.46/1.08 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.46/1.08 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.46/1.08 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.46/1.08 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.46/1.08 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.46/1.08 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.46/1.08 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.46/1.08 { ! Y = vplus( X, Y ) }.
% 0.46/1.08 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.46/1.08 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.46/1.08 { vplus( v1, X ) = vsucc( X ) }.
% 0.46/1.08 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.46/1.08 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.46/1.08 { vplus( X, v1 ) = vsucc( X ) }.
% 0.46/1.08 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.46/1.08 { ! vsucc( X ) = X }.
% 0.46/1.08 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.46/1.08 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.46/1.08 { ! vsucc( X ) = v1 }.
% 0.46/1.08
% 0.46/1.08 percentage equality = 0.805556, percentage horn = 0.913043
% 0.46/1.08 This is a pure equality problem
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 Options Used:
% 0.46/1.08
% 0.46/1.08 useres = 1
% 0.46/1.08 useparamod = 1
% 0.46/1.08 useeqrefl = 1
% 0.46/1.08 useeqfact = 1
% 0.46/1.08 usefactor = 1
% 0.46/1.08 usesimpsplitting = 0
% 0.46/1.08 usesimpdemod = 5
% 0.46/1.08 usesimpres = 3
% 0.46/1.08
% 0.46/1.08 resimpinuse = 1000
% 0.46/1.08 resimpclauses = 20000
% 0.46/1.08 substype = eqrewr
% 0.46/1.08 backwardsubs = 1
% 0.46/1.08 selectoldest = 5
% 0.46/1.08
% 0.46/1.08 litorderings [0] = split
% 0.46/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.08
% 0.46/1.08 termordering = kbo
% 0.46/1.08
% 0.46/1.08 litapriori = 0
% 0.46/1.08 termapriori = 1
% 0.46/1.08 litaposteriori = 0
% 0.46/1.08 termaposteriori = 0
% 0.46/1.08 demodaposteriori = 0
% 0.46/1.08 ordereqreflfact = 0
% 0.46/1.08
% 0.46/1.08 litselect = negord
% 0.46/1.08
% 0.46/1.08 maxweight = 15
% 0.46/1.08 maxdepth = 30000
% 0.46/1.08 maxlength = 115
% 0.46/1.08 maxnrvars = 195
% 0.46/1.08 excuselevel = 1
% 0.46/1.08 increasemaxweight = 1
% 0.46/1.08
% 0.46/1.08 maxselected = 10000000
% 0.46/1.08 maxnrclauses = 10000000
% 0.46/1.08
% 0.46/1.08 showgenerated = 0
% 0.46/1.08 showkept = 0
% 0.46/1.08 showselected = 0
% 0.46/1.08 showdeleted = 0
% 0.46/1.08 showresimp = 1
% 0.46/1.08 showstatus = 2000
% 0.46/1.08
% 0.46/1.08 prologoutput = 0
% 0.46/1.08 nrgoals = 5000000
% 0.46/1.08 totalproof = 1
% 0.46/1.08
% 0.46/1.08 Symbols occurring in the translation:
% 0.46/1.08
% 0.46/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.08 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.46/1.08 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 0.46/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.08 vd203 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.46/1.08 vd204 [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.46/1.08 greater [37, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.46/1.08 less [38, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.46/1.08 vplus [42, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.46/1.08 vsucc [59, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.46/1.08 v1 [61, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.46/1.08 vskolem2 [68, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.46/1.08 skol1 [75, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.46/1.08 skol2 [76, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.46/1.08 skol3 [77, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.46/1.08 skol4 [78, 2] (w:1, o:78, a:1, s:1, b:1).
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 Starting Search:
% 0.46/1.08
% 0.46/1.08 *** allocated 15000 integers for clauses
% 0.46/1.08 *** allocated 22500 integers for clauses
% 0.46/1.08
% 0.46/1.08 Bliksems!, er is een bewijs:
% 0.46/1.08 % SZS status Theorem
% 0.46/1.08 % SZS output start Refutation
% 0.46/1.08
% 0.46/1.08 (0) {G0,W3,D2,L1,V0,M1} I { greater( vd203, vd204 ) }.
% 0.46/1.08 (1) {G0,W3,D2,L1,V0,M1} I { less( vd203, vd204 ) }.
% 0.46/1.08 (3) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1( X, Y ) ) ==>
% 0.46/1.08 X }.
% 0.46/1.08 (4) {G0,W8,D3,L2,V3,M2} I { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.46/1.08 (5) {G0,W10,D4,L2,V2,M2} I { ! greater( Y, X ), vplus( X, skol2( X, Y ) )
% 0.46/1.08 ==> Y }.
% 0.46/1.08 (9) {G0,W10,D3,L2,V4,M2} I { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.46/1.08 (22) {G1,W5,D3,L1,V2,M1} Q(4) { less( X, vplus( X, Y ) ) }.
% 0.46/1.08 (40) {G2,W6,D2,L2,V2,M2} P(5,22) { less( X, Y ), ! greater( Y, X ) }.
% 0.46/1.08 (45) {G3,W3,D2,L1,V0,M1} R(40,0) { less( vd204, vd203 ) }.
% 0.46/1.08 (158) {G1,W11,D3,L3,V4,M3} P(3,9) { ! Z = Y, ! X = vplus( Z, T ), ! less( X
% 0.46/1.08 , Y ) }.
% 0.46/1.08 (160) {G2,W8,D3,L2,V3,M2} Q(158) { ! X = Y, ! less( vplus( X, Z ), Y ) }.
% 0.46/1.08 (161) {G3,W5,D3,L1,V2,M1} Q(160) { ! less( vplus( X, Y ), X ) }.
% 0.46/1.08 (267) {G4,W6,D2,L2,V2,M2} P(3,161) { ! less( Y, X ), ! less( X, Y ) }.
% 0.46/1.08 (294) {G5,W0,D0,L0,V0,M0} R(267,45);r(1) { }.
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 % SZS output end Refutation
% 0.46/1.08 found a proof!
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 Unprocessed initial clauses:
% 0.46/1.08
% 0.46/1.08 (296) {G0,W3,D2,L1,V0,M1} { greater( vd203, vd204 ) }.
% 0.46/1.08 (297) {G0,W3,D2,L1,V0,M1} { less( vd203, vd204 ) }.
% 0.46/1.08 (298) {G0,W6,D2,L2,V0,M2} { ! vd203 = vd204, ! greater( vd203, vd204 ) }.
% 0.46/1.08 (299) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) )
% 0.46/1.08 }.
% 0.46/1.08 (300) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.46/1.08 (301) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.46/1.08 ) ) }.
% 0.46/1.08 (302) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.46/1.08 (303) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.46/1.08 vplus( X, skol4( X, Y ) ) }.
% 0.46/1.08 (304) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.46/1.08 (305) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.46/1.08 (306) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.46/1.08 (307) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.46/1.08 (308) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.46/1.08 (309) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.46/1.08 (310) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.46/1.08 ) }.
% 0.46/1.08 (311) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.46/1.08 (312) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus(
% 0.46/1.08 Y, Z ) ) }.
% 0.46/1.08 (313) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.46/1.08 ) }.
% 0.46/1.08 (314) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.46/1.08 (315) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.46/1.08 (316) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.46/1.08 (317) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.46/1.08 (318) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.46/1.08 (319) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 Total Proof:
% 0.46/1.08
% 0.46/1.08 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { greater( vd203, vd204 ) }.
% 0.46/1.08 parent0: (296) {G0,W3,D2,L1,V0,M1} { greater( vd203, vd204 ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { less( vd203, vd204 ) }.
% 0.46/1.08 parent0: (297) {G0,W3,D2,L1,V0,M1} { less( vd203, vd204 ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (321) {G0,W10,D4,L2,V2,M2} { vplus( Y, skol1( X, Y ) ) = X, ! less
% 0.46/1.08 ( Y, X ) }.
% 0.46/1.08 parent0[1]: (299) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y,
% 0.46/1.08 skol1( X, Y ) ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (3) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1(
% 0.46/1.08 X, Y ) ) ==> X }.
% 0.46/1.08 parent0: (321) {G0,W10,D4,L2,V2,M2} { vplus( Y, skol1( X, Y ) ) = X, !
% 0.46/1.08 less( Y, X ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 1
% 0.46/1.08 1 ==> 0
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (4) {G0,W8,D3,L2,V3,M2} I { ! X = vplus( Y, Z ), less( Y, X )
% 0.46/1.08 }.
% 0.46/1.08 parent0: (300) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 Z := Z
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 1 ==> 1
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (328) {G0,W10,D4,L2,V2,M2} { vplus( Y, skol2( Y, X ) ) = X, !
% 0.46/1.08 greater( X, Y ) }.
% 0.46/1.08 parent0[1]: (301) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X,
% 0.46/1.08 skol2( X, Y ) ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := X
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (5) {G0,W10,D4,L2,V2,M2} I { ! greater( Y, X ), vplus( X,
% 0.46/1.08 skol2( X, Y ) ) ==> Y }.
% 0.46/1.08 parent0: (328) {G0,W10,D4,L2,V2,M2} { vplus( Y, skol2( Y, X ) ) = X, !
% 0.46/1.08 greater( X, Y ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := X
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 1
% 0.46/1.08 1 ==> 0
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (9) {G0,W10,D3,L2,V4,M2} I { ! X = vplus( Y, Z ), ! Y = vplus
% 0.46/1.08 ( X, T ) }.
% 0.46/1.08 parent0: (305) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X
% 0.46/1.08 , T ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 Z := Z
% 0.46/1.08 T := T
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 1 ==> 1
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (348) {G0,W8,D3,L2,V3,M2} { ! vplus( Y, Z ) = X, less( Y, X ) }.
% 0.46/1.08 parent0[0]: (4) {G0,W8,D3,L2,V3,M2} I { ! X = vplus( Y, Z ), less( Y, X )
% 0.46/1.08 }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 Z := Z
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqrefl: (349) {G0,W5,D3,L1,V2,M1} { less( X, vplus( X, Y ) ) }.
% 0.46/1.08 parent0[0]: (348) {G0,W8,D3,L2,V3,M2} { ! vplus( Y, Z ) = X, less( Y, X )
% 0.46/1.08 }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := vplus( X, Y )
% 0.46/1.08 Y := X
% 0.46/1.08 Z := Y
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (22) {G1,W5,D3,L1,V2,M1} Q(4) { less( X, vplus( X, Y ) ) }.
% 0.46/1.08 parent0: (349) {G0,W5,D3,L1,V2,M1} { less( X, vplus( X, Y ) ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 paramod: (351) {G1,W6,D2,L2,V2,M2} { less( X, Y ), ! greater( Y, X ) }.
% 0.46/1.08 parent0[1]: (5) {G0,W10,D4,L2,V2,M2} I { ! greater( Y, X ), vplus( X, skol2
% 0.46/1.08 ( X, Y ) ) ==> Y }.
% 0.46/1.08 parent1[0; 2]: (22) {G1,W5,D3,L1,V2,M1} Q(4) { less( X, vplus( X, Y ) ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 end
% 0.46/1.08 substitution1:
% 0.46/1.08 X := X
% 0.46/1.08 Y := skol2( X, Y )
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (40) {G2,W6,D2,L2,V2,M2} P(5,22) { less( X, Y ), ! greater( Y
% 0.46/1.08 , X ) }.
% 0.46/1.08 parent0: (351) {G1,W6,D2,L2,V2,M2} { less( X, Y ), ! greater( Y, X ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 1 ==> 1
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 resolution: (352) {G1,W3,D2,L1,V0,M1} { less( vd204, vd203 ) }.
% 0.46/1.08 parent0[1]: (40) {G2,W6,D2,L2,V2,M2} P(5,22) { less( X, Y ), ! greater( Y,
% 0.46/1.08 X ) }.
% 0.46/1.08 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { greater( vd203, vd204 ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := vd204
% 0.46/1.08 Y := vd203
% 0.46/1.08 end
% 0.46/1.08 substitution1:
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (45) {G3,W3,D2,L1,V0,M1} R(40,0) { less( vd204, vd203 ) }.
% 0.46/1.08 parent0: (352) {G1,W3,D2,L1,V0,M1} { less( vd204, vd203 ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (354) {G0,W10,D3,L2,V4,M2} { ! vplus( Y, Z ) = X, ! Y = vplus( X,
% 0.46/1.08 T ) }.
% 0.46/1.08 parent0[0]: (9) {G0,W10,D3,L2,V4,M2} I { ! X = vplus( Y, Z ), ! Y = vplus(
% 0.46/1.08 X, T ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 Z := Z
% 0.46/1.08 T := T
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (355) {G0,W10,D3,L2,V4,M2} { ! vplus( Y, Z ) = X, ! vplus( X, T )
% 0.46/1.08 = Y }.
% 0.46/1.08 parent0[1]: (354) {G0,W10,D3,L2,V4,M2} { ! vplus( Y, Z ) = X, ! Y = vplus
% 0.46/1.08 ( X, T ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := X
% 0.46/1.08 Z := T
% 0.46/1.08 T := Z
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 paramod: (356) {G1,W11,D3,L3,V4,M3} { ! Y = Z, ! less( X, Y ), ! vplus( Z
% 0.46/1.08 , T ) = X }.
% 0.46/1.08 parent0[1]: (3) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1( X
% 0.46/1.08 , Y ) ) ==> X }.
% 0.46/1.08 parent1[0; 2]: (355) {G0,W10,D3,L2,V4,M2} { ! vplus( Y, Z ) = X, ! vplus(
% 0.46/1.08 X, T ) = Y }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := X
% 0.46/1.08 end
% 0.46/1.08 substitution1:
% 0.46/1.08 X := Z
% 0.46/1.08 Y := X
% 0.46/1.08 Z := skol1( Y, X )
% 0.46/1.08 T := T
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (358) {G1,W11,D3,L3,V4,M3} { ! Z = vplus( X, Y ), ! T = X, ! less
% 0.46/1.08 ( Z, T ) }.
% 0.46/1.08 parent0[2]: (356) {G1,W11,D3,L3,V4,M3} { ! Y = Z, ! less( X, Y ), ! vplus
% 0.46/1.08 ( Z, T ) = X }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Z
% 0.46/1.08 Y := T
% 0.46/1.08 Z := X
% 0.46/1.08 T := Y
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (359) {G1,W11,D3,L3,V4,M3} { ! Y = X, ! Z = vplus( Y, T ), ! less
% 0.46/1.08 ( Z, X ) }.
% 0.46/1.08 parent0[1]: (358) {G1,W11,D3,L3,V4,M3} { ! Z = vplus( X, Y ), ! T = X, !
% 0.46/1.08 less( Z, T ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := T
% 0.46/1.08 Z := Z
% 0.46/1.08 T := X
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (158) {G1,W11,D3,L3,V4,M3} P(3,9) { ! Z = Y, ! X = vplus( Z, T
% 0.46/1.08 ), ! less( X, Y ) }.
% 0.46/1.08 parent0: (359) {G1,W11,D3,L3,V4,M3} { ! Y = X, ! Z = vplus( Y, T ), ! less
% 0.46/1.08 ( Z, X ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := Z
% 0.46/1.08 Z := X
% 0.46/1.08 T := T
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 1 ==> 1
% 0.46/1.08 2 ==> 2
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (362) {G1,W11,D3,L3,V4,M3} { ! Y = X, ! Z = vplus( X, T ), ! less
% 0.46/1.08 ( Z, Y ) }.
% 0.46/1.08 parent0[0]: (158) {G1,W11,D3,L3,V4,M3} P(3,9) { ! Z = Y, ! X = vplus( Z, T
% 0.46/1.08 ), ! less( X, Y ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Z
% 0.46/1.08 Y := Y
% 0.46/1.08 Z := X
% 0.46/1.08 T := T
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqrefl: (366) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! less( vplus( Y, Z ), X )
% 0.46/1.08 }.
% 0.46/1.08 parent0[1]: (362) {G1,W11,D3,L3,V4,M3} { ! Y = X, ! Z = vplus( X, T ), !
% 0.46/1.08 less( Z, Y ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := X
% 0.46/1.08 Z := vplus( Y, Z )
% 0.46/1.08 T := Z
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (367) {G0,W8,D3,L2,V3,M2} { ! Y = X, ! less( vplus( Y, Z ), X )
% 0.46/1.08 }.
% 0.46/1.08 parent0[0]: (366) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! less( vplus( Y, Z ), X
% 0.46/1.08 ) }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := X
% 0.46/1.08 Y := Y
% 0.46/1.08 Z := Z
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 subsumption: (160) {G2,W8,D3,L2,V3,M2} Q(158) { ! X = Y, ! less( vplus( X,
% 0.46/1.08 Z ), Y ) }.
% 0.46/1.08 parent0: (367) {G0,W8,D3,L2,V3,M2} { ! Y = X, ! less( vplus( Y, Z ), X )
% 0.46/1.08 }.
% 0.46/1.08 substitution0:
% 0.46/1.08 X := Y
% 0.46/1.08 Y := X
% 0.46/1.08 Z := Z
% 0.46/1.08 end
% 0.46/1.08 permutation0:
% 0.46/1.08 0 ==> 0
% 0.46/1.08 1 ==> 1
% 0.46/1.08 end
% 0.46/1.08
% 0.46/1.08 eqswap: (369) {G2,W8,D3,L2,V3,M2} { ! Y = X, ! less( vplus( X, Z ), Y )
% 0.46/1.08 }.
% 0.46/1.08 parent0[0]: (160) {G2,W8,D3,L2,V3,M2} Q(158) { ! X = Y, ! less( vplus( X, Z
% 0.46/1.08 ), Y ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 X := X
% 0.72/1.08 Y := Y
% 0.72/1.08 Z := Z
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 eqrefl: (370) {G0,W5,D3,L1,V2,M1} { ! less( vplus( X, Y ), X ) }.
% 0.72/1.08 parent0[0]: (369) {G2,W8,D3,L2,V3,M2} { ! Y = X, ! less( vplus( X, Z ), Y
% 0.72/1.08 ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 X := X
% 0.72/1.08 Y := X
% 0.72/1.08 Z := Y
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 subsumption: (161) {G3,W5,D3,L1,V2,M1} Q(160) { ! less( vplus( X, Y ), X )
% 0.72/1.08 }.
% 0.72/1.08 parent0: (370) {G0,W5,D3,L1,V2,M1} { ! less( vplus( X, Y ), X ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 X := X
% 0.72/1.08 Y := Y
% 0.72/1.08 end
% 0.72/1.08 permutation0:
% 0.72/1.08 0 ==> 0
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 paramod: (372) {G1,W6,D2,L2,V2,M2} { ! less( Y, X ), ! less( X, Y ) }.
% 0.72/1.08 parent0[1]: (3) {G0,W10,D4,L2,V2,M2} I { ! less( Y, X ), vplus( Y, skol1( X
% 0.72/1.08 , Y ) ) ==> X }.
% 0.72/1.08 parent1[0; 2]: (161) {G3,W5,D3,L1,V2,M1} Q(160) { ! less( vplus( X, Y ), X
% 0.72/1.08 ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 X := Y
% 0.72/1.08 Y := X
% 0.72/1.08 end
% 0.72/1.08 substitution1:
% 0.72/1.08 X := X
% 0.72/1.08 Y := skol1( Y, X )
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 subsumption: (267) {G4,W6,D2,L2,V2,M2} P(3,161) { ! less( Y, X ), ! less( X
% 0.72/1.08 , Y ) }.
% 0.72/1.08 parent0: (372) {G1,W6,D2,L2,V2,M2} { ! less( Y, X ), ! less( X, Y ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 X := X
% 0.72/1.08 Y := Y
% 0.72/1.08 end
% 0.72/1.08 permutation0:
% 0.72/1.08 0 ==> 0
% 0.72/1.08 1 ==> 1
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 resolution: (374) {G4,W3,D2,L1,V0,M1} { ! less( vd203, vd204 ) }.
% 0.72/1.08 parent0[0]: (267) {G4,W6,D2,L2,V2,M2} P(3,161) { ! less( Y, X ), ! less( X
% 0.72/1.08 , Y ) }.
% 0.72/1.08 parent1[0]: (45) {G3,W3,D2,L1,V0,M1} R(40,0) { less( vd204, vd203 ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 X := vd203
% 0.72/1.08 Y := vd204
% 0.72/1.08 end
% 0.72/1.08 substitution1:
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 resolution: (375) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.08 parent0[0]: (374) {G4,W3,D2,L1,V0,M1} { ! less( vd203, vd204 ) }.
% 0.72/1.08 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { less( vd203, vd204 ) }.
% 0.72/1.08 substitution0:
% 0.72/1.08 end
% 0.72/1.08 substitution1:
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 subsumption: (294) {G5,W0,D0,L0,V0,M0} R(267,45);r(1) { }.
% 0.72/1.08 parent0: (375) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.08 substitution0:
% 0.72/1.08 end
% 0.72/1.08 permutation0:
% 0.72/1.08 end
% 0.72/1.08
% 0.72/1.08 Proof check complete!
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 4574
% 0.72/1.08 space for clauses: 19087
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 914
% 0.72/1.08 clauses kept: 295
% 0.72/1.08 clauses selected: 47
% 0.72/1.08 clauses deleted: 0
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 4009
% 0.72/1.08 literals s-matched: 2718
% 0.72/1.08 literals matched: 2714
% 0.72/1.08 full subsumption: 1997
% 0.72/1.08
% 0.72/1.08 checksum: -630185802
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------