TSTP Solution File: SYN986+1.003 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 : Thu Jul 21 02:58:37 EDT 2022
% Result : Theorem 0.75s 1.09s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jul 11 15:44:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.75/1.09 *** allocated 10000 integers for termspace/termends
% 0.75/1.09 *** allocated 10000 integers for clauses
% 0.75/1.09 *** allocated 10000 integers for justifications
% 0.75/1.09 Bliksem 1.12
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Automatic Strategy Selection
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Clauses:
% 0.75/1.09
% 0.75/1.09 { r( X, zero, succ( X ) ) }.
% 0.75/1.09 { ! r( X, Y, Z ), ! r( Z, Y, T ), r( X, succ( Y ), T ) }.
% 0.75/1.09 { ! r( zero, zero, X ), ! r( zero, X, Y ), ! r( zero, Y, Z ), ! r( zero, Z
% 0.75/1.09 , T ) }.
% 0.75/1.09
% 0.75/1.09 percentage equality = 0.000000, percentage horn = 1.000000
% 0.75/1.09 This is a near-Horn, non-equality problem
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Options Used:
% 0.75/1.09
% 0.75/1.09 useres = 1
% 0.75/1.09 useparamod = 0
% 0.75/1.09 useeqrefl = 0
% 0.75/1.09 useeqfact = 0
% 0.75/1.09 usefactor = 1
% 0.75/1.09 usesimpsplitting = 0
% 0.75/1.09 usesimpdemod = 0
% 0.75/1.09 usesimpres = 4
% 0.75/1.09
% 0.75/1.09 resimpinuse = 1000
% 0.75/1.09 resimpclauses = 20000
% 0.75/1.09 substype = standard
% 0.75/1.09 backwardsubs = 1
% 0.75/1.09 selectoldest = 5
% 0.75/1.09
% 0.75/1.09 litorderings [0] = split
% 0.75/1.09 litorderings [1] = liftord
% 0.75/1.09
% 0.75/1.09 termordering = none
% 0.75/1.09
% 0.75/1.09 litapriori = 1
% 0.75/1.09 termapriori = 0
% 0.75/1.09 litaposteriori = 0
% 0.75/1.09 termaposteriori = 0
% 0.75/1.09 demodaposteriori = 0
% 0.75/1.09 ordereqreflfact = 0
% 0.75/1.09
% 0.75/1.09 litselect = negative
% 0.75/1.09
% 0.75/1.09 maxweight = 30000
% 0.75/1.09 maxdepth = 30000
% 0.75/1.09 maxlength = 115
% 0.75/1.09 maxnrvars = 195
% 0.75/1.09 excuselevel = 0
% 0.75/1.09 increasemaxweight = 0
% 0.75/1.09
% 0.75/1.09 maxselected = 10000000
% 0.75/1.09 maxnrclauses = 10000000
% 0.75/1.09
% 0.75/1.09 showgenerated = 0
% 0.75/1.09 showkept = 0
% 0.75/1.09 showselected = 0
% 0.75/1.09 showdeleted = 0
% 0.75/1.09 showresimp = 1
% 0.75/1.09 showstatus = 2000
% 0.75/1.09
% 0.75/1.09 prologoutput = 0
% 0.75/1.09 nrgoals = 5000000
% 0.75/1.09 totalproof = 1
% 0.75/1.09
% 0.75/1.09 Symbols occurring in the translation:
% 0.75/1.09
% 0.75/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.09 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.09 zero [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.75/1.09 succ [37, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.75/1.09 r [38, 3] (w:1, o:44, a:1, s:1, b:0).
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Starting Search:
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Bliksems!, er is een bewijs:
% 0.75/1.09 % SZS status Theorem
% 0.75/1.09 % SZS output start Refutation
% 0.75/1.09
% 0.75/1.09 (0) {G0,W5,D3,L1,V1,M1} I { r( X, zero, succ( X ) ) }.
% 0.75/1.09 (1) {G0,W15,D3,L3,V4,M1} I { ! r( X, Y, Z ), r( X, succ( Y ), T ), ! r( Z,
% 0.75/1.09 Y, T ) }.
% 0.75/1.09 (2) {G0,W20,D2,L4,V4,M1} I { ! r( zero, X, Y ), ! r( zero, Y, Z ), ! r(
% 0.75/1.09 zero, zero, X ), ! r( zero, Z, T ) }.
% 0.75/1.09 (12) {G1,W11,D3,L2,V2,M1} R(1,0) { r( X, succ( zero ), succ( Y ) ), ! r( X
% 0.75/1.09 , zero, Y ) }.
% 0.75/1.09 (13) {G2,W7,D4,L1,V1,M1} R(12,0) { r( X, succ( zero ), succ( succ( X ) ) )
% 0.75/1.09 }.
% 0.75/1.09 (14) {G3,W14,D4,L2,V2,M1} R(13,1) { r( X, succ( succ( zero ) ), succ( succ
% 0.75/1.09 ( Y ) ) ), ! r( X, succ( zero ), Y ) }.
% 0.75/1.09 (15) {G4,W10,D6,L1,V1,M1} R(14,13) { r( X, succ( succ( zero ) ), succ( succ
% 0.75/1.09 ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.09 (16) {G5,W18,D6,L2,V2,M1} R(15,1) { r( X, succ( succ( succ( zero ) ) ),
% 0.75/1.09 succ( succ( succ( succ( Y ) ) ) ) ), ! r( X, succ( succ( zero ) ), Y )
% 0.75/1.09 }.
% 0.75/1.09 (23) {G6,W15,D10,L1,V1,M1} R(16,15) { r( X, succ( succ( succ( zero ) ) ),
% 0.75/1.09 succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) }.
% 0.75/1.09 (26) {G7,W24,D10,L2,V2,M1} R(23,1) { r( X, succ( succ( succ( succ( zero ) )
% 0.75/1.09 ) ), succ( succ( succ( succ( succ( succ( succ( succ( Y ) ) ) ) ) ) ) ) )
% 0.75/1.09 , ! r( X, succ( succ( succ( zero ) ) ), Y ) }.
% 0.75/1.09 (28) {G8,W24,D18,L1,V1,M1} R(26,23) { r( X, succ( succ( succ( succ( zero )
% 0.75/1.09 ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( succ( succ( succ
% 0.75/1.09 ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) }.
% 0.75/1.09 (30) {G9,W19,D6,L3,V2,M1} R(28,2) { ! r( zero, X, Y ), ! r( zero, zero, X )
% 0.75/1.09 , ! r( zero, Y, succ( succ( succ( succ( zero ) ) ) ) ) }.
% 0.75/1.09 (32) {G10,W12,D4,L2,V1,M1} R(30,15) { ! r( zero, zero, X ), ! r( zero, X,
% 0.75/1.09 succ( succ( zero ) ) ) }.
% 0.75/1.09 (33) {G11,W0,D0,L0,V0,M0} R(32,13);r(0) { }.
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 % SZS output end Refutation
% 0.75/1.09 found a proof!
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Unprocessed initial clauses:
% 0.75/1.09
% 0.75/1.09 (35) {G0,W5,D3,L1,V1,M1} { r( X, zero, succ( X ) ) }.
% 0.75/1.09 (36) {G0,W15,D3,L3,V4,M3} { ! r( X, Y, Z ), ! r( Z, Y, T ), r( X, succ( Y
% 0.75/1.09 ), T ) }.
% 0.75/1.09 (37) {G0,W20,D2,L4,V4,M4} { ! r( zero, zero, X ), ! r( zero, X, Y ), ! r(
% 0.75/1.09 zero, Y, Z ), ! r( zero, Z, T ) }.
% 0.75/1.09
% 0.75/1.09
% 0.75/1.09 Total Proof:
% 0.75/1.09
% 0.75/1.09 subsumption: (0) {G0,W5,D3,L1,V1,M1} I { r( X, zero, succ( X ) ) }.
% 0.75/1.09 parent0: (35) {G0,W5,D3,L1,V1,M1} { r( X, zero, succ( X ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 end
% 0.75/1.09 permutation0:
% 0.75/1.09 0 ==> 0
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 subsumption: (1) {G0,W15,D3,L3,V4,M1} I { ! r( X, Y, Z ), r( X, succ( Y ),
% 0.75/1.09 T ), ! r( Z, Y, T ) }.
% 0.75/1.09 parent0: (36) {G0,W15,D3,L3,V4,M3} { ! r( X, Y, Z ), ! r( Z, Y, T ), r( X
% 0.75/1.09 , succ( Y ), T ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := Y
% 0.75/1.09 Z := Z
% 0.75/1.09 T := T
% 0.75/1.09 end
% 0.75/1.09 permutation0:
% 0.75/1.09 0 ==> 0
% 0.75/1.09 1 ==> 2
% 0.75/1.09 2 ==> 1
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 subsumption: (2) {G0,W20,D2,L4,V4,M1} I { ! r( zero, X, Y ), ! r( zero, Y,
% 0.75/1.09 Z ), ! r( zero, zero, X ), ! r( zero, Z, T ) }.
% 0.75/1.09 parent0: (37) {G0,W20,D2,L4,V4,M4} { ! r( zero, zero, X ), ! r( zero, X, Y
% 0.75/1.09 ), ! r( zero, Y, Z ), ! r( zero, Z, T ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := Y
% 0.75/1.09 Z := Z
% 0.75/1.09 T := T
% 0.75/1.09 end
% 0.75/1.09 permutation0:
% 0.75/1.09 0 ==> 2
% 0.75/1.09 1 ==> 0
% 0.75/1.09 2 ==> 1
% 0.75/1.09 3 ==> 3
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 resolution: (51) {G1,W11,D3,L2,V2,M2} { ! r( X, zero, Y ), r( X, succ(
% 0.75/1.09 zero ), succ( Y ) ) }.
% 0.75/1.09 parent0[2]: (1) {G0,W15,D3,L3,V4,M1} I { ! r( X, Y, Z ), r( X, succ( Y ), T
% 0.75/1.09 ), ! r( Z, Y, T ) }.
% 0.75/1.09 parent1[0]: (0) {G0,W5,D3,L1,V1,M1} I { r( X, zero, succ( X ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := zero
% 0.75/1.09 Z := Y
% 0.75/1.09 T := succ( Y )
% 0.75/1.09 end
% 0.75/1.09 substitution1:
% 0.75/1.09 X := Y
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 subsumption: (12) {G1,W11,D3,L2,V2,M1} R(1,0) { r( X, succ( zero ), succ( Y
% 0.75/1.09 ) ), ! r( X, zero, Y ) }.
% 0.75/1.09 parent0: (51) {G1,W11,D3,L2,V2,M2} { ! r( X, zero, Y ), r( X, succ( zero )
% 0.75/1.09 , succ( Y ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := Y
% 0.75/1.09 end
% 0.75/1.09 permutation0:
% 0.75/1.09 0 ==> 1
% 0.75/1.09 1 ==> 0
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 resolution: (52) {G1,W7,D4,L1,V1,M1} { r( X, succ( zero ), succ( succ( X )
% 0.75/1.09 ) ) }.
% 0.75/1.09 parent0[1]: (12) {G1,W11,D3,L2,V2,M1} R(1,0) { r( X, succ( zero ), succ( Y
% 0.75/1.09 ) ), ! r( X, zero, Y ) }.
% 0.75/1.09 parent1[0]: (0) {G0,W5,D3,L1,V1,M1} I { r( X, zero, succ( X ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := succ( X )
% 0.75/1.09 end
% 0.75/1.09 substitution1:
% 0.75/1.09 X := X
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 subsumption: (13) {G2,W7,D4,L1,V1,M1} R(12,0) { r( X, succ( zero ), succ(
% 0.75/1.09 succ( X ) ) ) }.
% 0.75/1.09 parent0: (52) {G1,W7,D4,L1,V1,M1} { r( X, succ( zero ), succ( succ( X ) )
% 0.75/1.09 ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 end
% 0.75/1.09 permutation0:
% 0.75/1.09 0 ==> 0
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 resolution: (54) {G1,W14,D4,L2,V2,M2} { ! r( X, succ( zero ), Y ), r( X,
% 0.75/1.09 succ( succ( zero ) ), succ( succ( Y ) ) ) }.
% 0.75/1.09 parent0[2]: (1) {G0,W15,D3,L3,V4,M1} I { ! r( X, Y, Z ), r( X, succ( Y ), T
% 0.75/1.09 ), ! r( Z, Y, T ) }.
% 0.75/1.09 parent1[0]: (13) {G2,W7,D4,L1,V1,M1} R(12,0) { r( X, succ( zero ), succ(
% 0.75/1.09 succ( X ) ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := succ( zero )
% 0.75/1.09 Z := Y
% 0.75/1.09 T := succ( succ( Y ) )
% 0.75/1.09 end
% 0.75/1.09 substitution1:
% 0.75/1.09 X := Y
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 subsumption: (14) {G3,W14,D4,L2,V2,M1} R(13,1) { r( X, succ( succ( zero ) )
% 0.75/1.09 , succ( succ( Y ) ) ), ! r( X, succ( zero ), Y ) }.
% 0.75/1.09 parent0: (54) {G1,W14,D4,L2,V2,M2} { ! r( X, succ( zero ), Y ), r( X, succ
% 0.75/1.09 ( succ( zero ) ), succ( succ( Y ) ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := Y
% 0.75/1.09 end
% 0.75/1.09 permutation0:
% 0.75/1.09 0 ==> 1
% 0.75/1.09 1 ==> 0
% 0.75/1.09 end
% 0.75/1.09
% 0.75/1.09 resolution: (55) {G3,W10,D6,L1,V1,M1} { r( X, succ( succ( zero ) ), succ(
% 0.75/1.09 succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.09 parent0[1]: (14) {G3,W14,D4,L2,V2,M1} R(13,1) { r( X, succ( succ( zero ) )
% 0.75/1.09 , succ( succ( Y ) ) ), ! r( X, succ( zero ), Y ) }.
% 0.75/1.09 parent1[0]: (13) {G2,W7,D4,L1,V1,M1} R(12,0) { r( X, succ( zero ), succ(
% 0.75/1.09 succ( X ) ) ) }.
% 0.75/1.09 substitution0:
% 0.75/1.09 X := X
% 0.75/1.09 Y := succ( succ( X ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (15) {G4,W10,D6,L1,V1,M1} R(14,13) { r( X, succ( succ( zero )
% 0.75/1.10 ), succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.10 parent0: (55) {G3,W10,D6,L1,V1,M1} { r( X, succ( succ( zero ) ), succ(
% 0.75/1.10 succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 0
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (57) {G1,W18,D6,L2,V2,M2} { ! r( X, succ( succ( zero ) ), Y )
% 0.75/1.10 , r( X, succ( succ( succ( zero ) ) ), succ( succ( succ( succ( Y ) ) ) ) )
% 0.75/1.10 }.
% 0.75/1.10 parent0[2]: (1) {G0,W15,D3,L3,V4,M1} I { ! r( X, Y, Z ), r( X, succ( Y ), T
% 0.75/1.10 ), ! r( Z, Y, T ) }.
% 0.75/1.10 parent1[0]: (15) {G4,W10,D6,L1,V1,M1} R(14,13) { r( X, succ( succ( zero ) )
% 0.75/1.10 , succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := succ( succ( zero ) )
% 0.75/1.10 Z := Y
% 0.75/1.10 T := succ( succ( succ( succ( Y ) ) ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := Y
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (16) {G5,W18,D6,L2,V2,M1} R(15,1) { r( X, succ( succ( succ(
% 0.75/1.10 zero ) ) ), succ( succ( succ( succ( Y ) ) ) ) ), ! r( X, succ( succ( zero
% 0.75/1.10 ) ), Y ) }.
% 0.75/1.10 parent0: (57) {G1,W18,D6,L2,V2,M2} { ! r( X, succ( succ( zero ) ), Y ), r
% 0.75/1.10 ( X, succ( succ( succ( zero ) ) ), succ( succ( succ( succ( Y ) ) ) ) )
% 0.75/1.10 }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := Y
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 1
% 0.75/1.10 1 ==> 0
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (58) {G5,W15,D10,L1,V1,M1} { r( X, succ( succ( succ( zero ) )
% 0.75/1.10 ), succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) )
% 0.75/1.10 }.
% 0.75/1.10 parent0[1]: (16) {G5,W18,D6,L2,V2,M1} R(15,1) { r( X, succ( succ( succ(
% 0.75/1.10 zero ) ) ), succ( succ( succ( succ( Y ) ) ) ) ), ! r( X, succ( succ( zero
% 0.75/1.10 ) ), Y ) }.
% 0.75/1.10 parent1[0]: (15) {G4,W10,D6,L1,V1,M1} R(14,13) { r( X, succ( succ( zero ) )
% 0.75/1.10 , succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := succ( succ( succ( succ( X ) ) ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (23) {G6,W15,D10,L1,V1,M1} R(16,15) { r( X, succ( succ( succ(
% 0.75/1.10 zero ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) )
% 0.75/1.10 ) ) ) }.
% 0.75/1.10 parent0: (58) {G5,W15,D10,L1,V1,M1} { r( X, succ( succ( succ( zero ) ) ),
% 0.75/1.10 succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 0
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (60) {G1,W24,D10,L2,V2,M2} { ! r( X, succ( succ( succ( zero )
% 0.75/1.10 ) ), Y ), r( X, succ( succ( succ( succ( zero ) ) ) ), succ( succ( succ(
% 0.75/1.10 succ( succ( succ( succ( succ( Y ) ) ) ) ) ) ) ) ) }.
% 0.75/1.10 parent0[2]: (1) {G0,W15,D3,L3,V4,M1} I { ! r( X, Y, Z ), r( X, succ( Y ), T
% 0.75/1.10 ), ! r( Z, Y, T ) }.
% 0.75/1.10 parent1[0]: (23) {G6,W15,D10,L1,V1,M1} R(16,15) { r( X, succ( succ( succ(
% 0.75/1.10 zero ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) )
% 0.75/1.10 ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := succ( succ( succ( zero ) ) )
% 0.75/1.10 Z := Y
% 0.75/1.10 T := succ( succ( succ( succ( succ( succ( succ( succ( Y ) ) ) ) ) ) ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := Y
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (26) {G7,W24,D10,L2,V2,M1} R(23,1) { r( X, succ( succ( succ(
% 0.75/1.10 succ( zero ) ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( Y ) )
% 0.75/1.10 ) ) ) ) ) ) ), ! r( X, succ( succ( succ( zero ) ) ), Y ) }.
% 0.75/1.10 parent0: (60) {G1,W24,D10,L2,V2,M2} { ! r( X, succ( succ( succ( zero ) ) )
% 0.75/1.10 , Y ), r( X, succ( succ( succ( succ( zero ) ) ) ), succ( succ( succ( succ
% 0.75/1.10 ( succ( succ( succ( succ( Y ) ) ) ) ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := Y
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 1
% 0.75/1.10 1 ==> 0
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (61) {G7,W24,D18,L1,V1,M1} { r( X, succ( succ( succ( succ(
% 0.75/1.10 zero ) ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( succ( succ
% 0.75/1.10 ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.75/1.10 }.
% 0.75/1.10 parent0[1]: (26) {G7,W24,D10,L2,V2,M1} R(23,1) { r( X, succ( succ( succ(
% 0.75/1.10 succ( zero ) ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( Y ) )
% 0.75/1.10 ) ) ) ) ) ) ), ! r( X, succ( succ( succ( zero ) ) ), Y ) }.
% 0.75/1.10 parent1[0]: (23) {G6,W15,D10,L1,V1,M1} R(16,15) { r( X, succ( succ( succ(
% 0.75/1.10 zero ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) )
% 0.75/1.10 ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := succ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (28) {G8,W24,D18,L1,V1,M1} R(26,23) { r( X, succ( succ( succ(
% 0.75/1.10 succ( zero ) ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( succ
% 0.75/1.10 ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.75/1.10 ) ) ) }.
% 0.75/1.10 parent0: (61) {G7,W24,D18,L1,V1,M1} { r( X, succ( succ( succ( succ( zero )
% 0.75/1.10 ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( succ( succ( succ
% 0.75/1.10 ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 0
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (64) {G1,W19,D6,L3,V2,M3} { ! r( zero, X, Y ), ! r( zero, Y,
% 0.75/1.10 succ( succ( succ( succ( zero ) ) ) ) ), ! r( zero, zero, X ) }.
% 0.75/1.10 parent0[3]: (2) {G0,W20,D2,L4,V4,M1} I { ! r( zero, X, Y ), ! r( zero, Y, Z
% 0.75/1.10 ), ! r( zero, zero, X ), ! r( zero, Z, T ) }.
% 0.75/1.10 parent1[0]: (28) {G8,W24,D18,L1,V1,M1} R(26,23) { r( X, succ( succ( succ(
% 0.75/1.10 succ( zero ) ) ) ), succ( succ( succ( succ( succ( succ( succ( succ( succ
% 0.75/1.10 ( succ( succ( succ( succ( succ( succ( succ( X ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.75/1.10 ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := Y
% 0.75/1.10 Z := succ( succ( succ( succ( zero ) ) ) )
% 0.75/1.10 T := succ( succ( succ( succ( succ( succ( succ( succ( succ( succ( succ(
% 0.75/1.10 succ( succ( succ( succ( succ( zero ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := zero
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (30) {G9,W19,D6,L3,V2,M1} R(28,2) { ! r( zero, X, Y ), ! r(
% 0.75/1.10 zero, zero, X ), ! r( zero, Y, succ( succ( succ( succ( zero ) ) ) ) ) }.
% 0.75/1.10 parent0: (64) {G1,W19,D6,L3,V2,M3} { ! r( zero, X, Y ), ! r( zero, Y, succ
% 0.75/1.10 ( succ( succ( succ( zero ) ) ) ) ), ! r( zero, zero, X ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := Y
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 0
% 0.75/1.10 1 ==> 2
% 0.75/1.10 2 ==> 1
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (72) {G5,W12,D4,L2,V1,M2} { ! r( zero, X, succ( succ( zero ) )
% 0.75/1.10 ), ! r( zero, zero, X ) }.
% 0.75/1.10 parent0[2]: (30) {G9,W19,D6,L3,V2,M1} R(28,2) { ! r( zero, X, Y ), ! r(
% 0.75/1.10 zero, zero, X ), ! r( zero, Y, succ( succ( succ( succ( zero ) ) ) ) ) }.
% 0.75/1.10 parent1[0]: (15) {G4,W10,D6,L1,V1,M1} R(14,13) { r( X, succ( succ( zero ) )
% 0.75/1.10 , succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 Y := succ( succ( zero ) )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := zero
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (32) {G10,W12,D4,L2,V1,M1} R(30,15) { ! r( zero, zero, X ), !
% 0.75/1.10 r( zero, X, succ( succ( zero ) ) ) }.
% 0.75/1.10 parent0: (72) {G5,W12,D4,L2,V1,M2} { ! r( zero, X, succ( succ( zero ) ) )
% 0.75/1.10 , ! r( zero, zero, X ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := X
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 0 ==> 1
% 0.75/1.10 1 ==> 0
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (73) {G3,W6,D3,L1,V0,M1} { ! r( zero, zero, succ( zero ) ) }.
% 0.75/1.10 parent0[1]: (32) {G10,W12,D4,L2,V1,M1} R(30,15) { ! r( zero, zero, X ), ! r
% 0.75/1.10 ( zero, X, succ( succ( zero ) ) ) }.
% 0.75/1.10 parent1[0]: (13) {G2,W7,D4,L1,V1,M1} R(12,0) { r( X, succ( zero ), succ(
% 0.75/1.10 succ( X ) ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 X := succ( zero )
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := zero
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 resolution: (74) {G1,W0,D0,L0,V0,M0} { }.
% 0.75/1.10 parent0[0]: (73) {G3,W6,D3,L1,V0,M1} { ! r( zero, zero, succ( zero ) ) }.
% 0.75/1.10 parent1[0]: (0) {G0,W5,D3,L1,V1,M1} I { r( X, zero, succ( X ) ) }.
% 0.75/1.10 substitution0:
% 0.75/1.10 end
% 0.75/1.10 substitution1:
% 0.75/1.10 X := zero
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 subsumption: (33) {G11,W0,D0,L0,V0,M0} R(32,13);r(0) { }.
% 0.75/1.10 parent0: (74) {G1,W0,D0,L0,V0,M0} { }.
% 0.75/1.10 substitution0:
% 0.75/1.10 end
% 0.75/1.10 permutation0:
% 0.75/1.10 end
% 0.75/1.10
% 0.75/1.10 Proof check complete!
% 0.75/1.10
% 0.75/1.10 Memory use:
% 0.75/1.10
% 0.75/1.10 space for terms: 633
% 0.75/1.10 space for clauses: 2446
% 0.75/1.10
% 0.75/1.10
% 0.75/1.10 clauses generated: 63
% 0.75/1.10 clauses kept: 34
% 0.75/1.10 clauses selected: 28
% 0.75/1.10 clauses deleted: 2
% 0.75/1.10 clauses inuse deleted: 0
% 0.75/1.10
% 0.75/1.10 subsentry: 413
% 0.75/1.10 literals s-matched: 120
% 0.75/1.10 literals matched: 70
% 0.75/1.10 full subsumption: 22
% 0.75/1.10
% 0.75/1.10 checksum: 1500904044
% 0.75/1.10
% 0.75/1.10
% 0.75/1.10 Bliksem ended
%------------------------------------------------------------------------------