TSTP Solution File: NUM427+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 06:22:09 EDT 2022
% Result : Theorem 0.86s 1.21s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.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
% 0.13/0.34 % DateTime : Thu Jul 7 12:28:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.86/1.21 *** allocated 10000 integers for termspace/termends
% 0.86/1.21 *** allocated 10000 integers for clauses
% 0.86/1.21 *** allocated 10000 integers for justifications
% 0.86/1.21 Bliksem 1.12
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Automatic Strategy Selection
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Clauses:
% 0.86/1.21
% 0.86/1.21 { && }.
% 0.86/1.21 { aInteger0( sz00 ) }.
% 0.86/1.21 { aInteger0( sz10 ) }.
% 0.86/1.21 { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X,
% 0.86/1.21 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 0.86/1.21 .
% 0.86/1.21 { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.86/1.21 { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 0.86/1.21 { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 0.86/1.21 { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 0.86/1.21 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 0.86/1.21 .
% 0.86/1.21 { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.86/1.21 { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 0.86/1.21 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 0.86/1.21 ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.86/1.21 { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.86/1.21 { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.86/1.21 { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 0.86/1.21 { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00,
% 0.86/1.21 Y = sz00 }.
% 0.86/1.21 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 0.86/1.21 }.
% 0.86/1.21 { ! alpha1( X, Y ), ! Y = sz00 }.
% 0.86/1.21 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.86/1.21 { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.86/1.21 { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 0.86/1.21 { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 0.86/1.21 { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.86/1.21 sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 0.86/1.21 ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.86/1.21 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 0.86/1.21 , Z ) }.
% 0.86/1.21 { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00, sdteqdtlpzmzozddtrp0( X, X
% 0.86/1.21 , Y ) }.
% 0.86/1.21 { aInteger0( xa ) }.
% 0.86/1.21 { aInteger0( xb ) }.
% 0.86/1.21 { aInteger0( xq ) }.
% 0.86/1.21 { ! xq = sz00 }.
% 0.86/1.21 { aInteger0( skol2 ) }.
% 0.86/1.21 { sdtasdt0( xq, skol2 ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 0.86/1.21 { aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 0.86/1.21 { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 0.86/1.21 { aInteger0( xn ) }.
% 0.86/1.21 { sdtasdt0( xq, xn ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 0.86/1.21 { sdtasdt0( xq, smndt0( xn ) ) = sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 { ! aInteger0( X ), ! sdtasdt0( xq, X ) = sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 { ! aDivisorOf0( xq, sdtpldt0( xb, smndt0( xa ) ) ) }.
% 0.86/1.21 { ! sdteqdtlpzmzozddtrp0( xb, xa, xq ) }.
% 0.86/1.21
% 0.86/1.21 percentage equality = 0.274336, percentage horn = 0.897959
% 0.86/1.21 This is a problem with some equality
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Options Used:
% 0.86/1.21
% 0.86/1.21 useres = 1
% 0.86/1.21 useparamod = 1
% 0.86/1.21 useeqrefl = 1
% 0.86/1.21 useeqfact = 1
% 0.86/1.21 usefactor = 1
% 0.86/1.21 usesimpsplitting = 0
% 0.86/1.21 usesimpdemod = 5
% 0.86/1.21 usesimpres = 3
% 0.86/1.21
% 0.86/1.21 resimpinuse = 1000
% 0.86/1.21 resimpclauses = 20000
% 0.86/1.21 substype = eqrewr
% 0.86/1.21 backwardsubs = 1
% 0.86/1.21 selectoldest = 5
% 0.86/1.21
% 0.86/1.21 litorderings [0] = split
% 0.86/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.21
% 0.86/1.21 termordering = kbo
% 0.86/1.21
% 0.86/1.21 litapriori = 0
% 0.86/1.21 termapriori = 1
% 0.86/1.21 litaposteriori = 0
% 0.86/1.21 termaposteriori = 0
% 0.86/1.21 demodaposteriori = 0
% 0.86/1.21 ordereqreflfact = 0
% 0.86/1.21
% 0.86/1.21 litselect = negord
% 0.86/1.21
% 0.86/1.21 maxweight = 15
% 0.86/1.21 maxdepth = 30000
% 0.86/1.21 maxlength = 115
% 0.86/1.21 maxnrvars = 195
% 0.86/1.21 excuselevel = 1
% 0.86/1.21 increasemaxweight = 1
% 0.86/1.21
% 0.86/1.21 maxselected = 10000000
% 0.86/1.21 maxnrclauses = 10000000
% 0.86/1.21
% 0.86/1.21 showgenerated = 0
% 0.86/1.21 showkept = 0
% 0.86/1.21 showselected = 0
% 0.86/1.21 showdeleted = 0
% 0.86/1.21 showresimp = 1
% 0.86/1.21 showstatus = 2000
% 0.86/1.21
% 0.86/1.21 prologoutput = 0
% 0.86/1.21 nrgoals = 5000000
% 0.86/1.21 totalproof = 1
% 0.86/1.21
% 0.86/1.21 Symbols occurring in the translation:
% 0.86/1.21
% 0.86/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.21 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.86/1.21 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.86/1.21 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.86/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.21 aInteger0 [36, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.86/1.21 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.86/1.21 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.86/1.21 smndt0 [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.86/1.21 sdtpldt0 [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.86/1.21 sdtasdt0 [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.86/1.21 aDivisorOf0 [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.86/1.21 sdteqdtlpzmzozddtrp0 [45, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.86/1.21 xa [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.86/1.21 xb [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.86/1.21 xq [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.86/1.21 xn [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.86/1.21 alpha1 [50, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.86/1.21 alpha2 [51, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.86/1.21 skol1 [52, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.86/1.21 skol2 [53, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Starting Search:
% 0.86/1.21
% 0.86/1.21 *** allocated 15000 integers for clauses
% 0.86/1.21 *** allocated 22500 integers for clauses
% 0.86/1.21 *** allocated 33750 integers for clauses
% 0.86/1.21 *** allocated 50625 integers for clauses
% 0.86/1.21 *** allocated 75937 integers for clauses
% 0.86/1.21 *** allocated 15000 integers for termspace/termends
% 0.86/1.21 *** allocated 113905 integers for clauses
% 0.86/1.21 Resimplifying inuse:
% 0.86/1.21 Done
% 0.86/1.21
% 0.86/1.21 *** allocated 22500 integers for termspace/termends
% 0.86/1.21 *** allocated 170857 integers for clauses
% 0.86/1.21 *** allocated 33750 integers for termspace/termends
% 0.86/1.21
% 0.86/1.21 Intermediate Status:
% 0.86/1.21 Generated: 6011
% 0.86/1.21 Kept: 2046
% 0.86/1.21 Inuse: 142
% 0.86/1.21 Deleted: 8
% 0.86/1.21 Deletedinuse: 4
% 0.86/1.21
% 0.86/1.21 Resimplifying inuse:
% 0.86/1.21 Done
% 0.86/1.21
% 0.86/1.21 *** allocated 50625 integers for termspace/termends
% 0.86/1.21
% 0.86/1.21 Bliksems!, er is een bewijs:
% 0.86/1.21 % SZS status Theorem
% 0.86/1.21 % SZS output start Refutation
% 0.86/1.21
% 0.86/1.21 (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 0.86/1.21 (43) {G0,W2,D2,L1,V0,M1} I { aInteger0( xn ) }.
% 0.86/1.21 (45) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xq, smndt0( xn ) ) ==> sdtpldt0( xb
% 0.86/1.21 , smndt0( xa ) ) }.
% 0.86/1.21 (46) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 (88) {G1,W3,D3,L1,V0,M1} R(3,43) { aInteger0( smndt0( xn ) ) }.
% 0.86/1.21 (2604) {G2,W0,D0,L0,V0,M0} R(46,88);d(45);q { }.
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 % SZS output end Refutation
% 0.86/1.21 found a proof!
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Unprocessed initial clauses:
% 0.86/1.21
% 0.86/1.21 (2606) {G0,W1,D1,L1,V0,M1} { && }.
% 0.86/1.21 (2607) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 0.86/1.21 (2608) {G0,W2,D2,L1,V0,M1} { aInteger0( sz10 ) }.
% 0.86/1.21 (2609) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0( X ) )
% 0.86/1.21 }.
% 0.86/1.21 (2610) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), aInteger0
% 0.86/1.21 ( sdtpldt0( X, Y ) ) }.
% 0.86/1.21 (2611) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), aInteger0
% 0.86/1.21 ( sdtasdt0( X, Y ) ) }.
% 0.86/1.21 (2612) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X,
% 0.86/1.21 Y ), Z ) }.
% 0.86/1.21 (2613) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0
% 0.86/1.21 ( X, Y ) = sdtpldt0( Y, X ) }.
% 0.86/1.21 (2614) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.86/1.21 (2615) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 0.86/1.21 (2616) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 0.86/1.21 = sz00 }.
% 0.86/1.21 (2617) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X
% 0.86/1.21 ), X ) }.
% 0.86/1.21 (2618) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X,
% 0.86/1.21 Y ), Z ) }.
% 0.86/1.21 (2619) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0
% 0.86/1.21 ( X, Y ) = sdtasdt0( Y, X ) }.
% 0.86/1.21 (2620) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.86/1.21 (2621) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 0.86/1.21 (2622) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X,
% 0.86/1.21 Y ), sdtasdt0( X, Z ) ) }.
% 0.86/1.21 (2623) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X,
% 0.86/1.21 Z ), sdtasdt0( Y, Z ) ) }.
% 0.86/1.21 (2624) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 0.86/1.21 }.
% 0.86/1.21 (2625) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 0.86/1.21 }.
% 0.86/1.21 (2626) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X
% 0.86/1.21 ) = smndt0( X ) }.
% 0.86/1.21 (2627) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X,
% 0.86/1.21 smndt0( sz10 ) ) }.
% 0.86/1.21 (2628) {G0,W15,D3,L5,V2,M5} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.86/1.21 (2629) {G0,W7,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 0.86/1.21 aInteger0( Y ) }.
% 0.86/1.21 (2630) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 0.86/1.21 alpha1( X, Y ) }.
% 0.86/1.21 (2631) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1
% 0.86/1.21 ( X, Y ), aDivisorOf0( Y, X ) }.
% 0.86/1.21 (2632) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = sz00 }.
% 0.86/1.21 (2633) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.86/1.21 (2634) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y )
% 0.86/1.21 }.
% 0.86/1.21 (2635) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 0.86/1.21 }.
% 0.86/1.21 (2636) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 0.86/1.21 ) = X }.
% 0.86/1.21 (2637) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 0.86/1.21 alpha2( X, Y ) }.
% 0.86/1.21 (2638) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 0.86/1.21 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 0.86/1.21 (2639) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.21 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 0.86/1.21 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 0.86/1.21 (2640) {G0,W11,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00
% 0.86/1.21 , sdteqdtlpzmzozddtrp0( X, X, Y ) }.
% 0.86/1.21 (2641) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 0.86/1.21 (2642) {G0,W2,D2,L1,V0,M1} { aInteger0( xb ) }.
% 0.86/1.21 (2643) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 0.86/1.21 (2644) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 0.86/1.21 (2645) {G0,W2,D2,L1,V0,M1} { aInteger0( skol2 ) }.
% 0.86/1.21 (2646) {G0,W8,D4,L1,V0,M1} { sdtasdt0( xq, skol2 ) = sdtpldt0( xa, smndt0
% 0.86/1.21 ( xb ) ) }.
% 0.86/1.21 (2647) {G0,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) )
% 0.86/1.21 ) }.
% 0.86/1.21 (2648) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 0.86/1.21 (2649) {G0,W2,D2,L1,V0,M1} { aInteger0( xn ) }.
% 0.86/1.21 (2650) {G0,W8,D4,L1,V0,M1} { sdtasdt0( xq, xn ) = sdtpldt0( xa, smndt0( xb
% 0.86/1.21 ) ) }.
% 0.86/1.21 (2651) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xq, smndt0( xn ) ) = sdtpldt0( xb,
% 0.86/1.21 smndt0( xa ) ) }.
% 0.86/1.21 (2652) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 (2653) {G0,W6,D4,L1,V0,M1} { ! aDivisorOf0( xq, sdtpldt0( xb, smndt0( xa )
% 0.86/1.21 ) ) }.
% 0.86/1.21 (2654) {G0,W4,D2,L1,V0,M1} { ! sdteqdtlpzmzozddtrp0( xb, xa, xq ) }.
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Total Proof:
% 0.86/1.21
% 0.86/1.21 subsumption: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0(
% 0.86/1.21 smndt0( X ) ) }.
% 0.86/1.21 parent0: (2609) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0
% 0.86/1.21 ( X ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 X := X
% 0.86/1.21 end
% 0.86/1.21 permutation0:
% 0.86/1.21 0 ==> 0
% 0.86/1.21 1 ==> 1
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 subsumption: (43) {G0,W2,D2,L1,V0,M1} I { aInteger0( xn ) }.
% 0.86/1.21 parent0: (2649) {G0,W2,D2,L1,V0,M1} { aInteger0( xn ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 end
% 0.86/1.21 permutation0:
% 0.86/1.21 0 ==> 0
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 subsumption: (45) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xq, smndt0( xn ) ) ==>
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 parent0: (2651) {G0,W9,D4,L1,V0,M1} { sdtasdt0( xq, smndt0( xn ) ) =
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 end
% 0.86/1.21 permutation0:
% 0.86/1.21 0 ==> 0
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 subsumption: (46) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 0.86/1.21 , X ) = sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 parent0: (2652) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq, X
% 0.86/1.21 ) = sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 X := X
% 0.86/1.21 end
% 0.86/1.21 permutation0:
% 0.86/1.21 0 ==> 0
% 0.86/1.21 1 ==> 1
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 resolution: (2945) {G1,W3,D3,L1,V0,M1} { aInteger0( smndt0( xn ) ) }.
% 0.86/1.21 parent0[0]: (3) {G0,W5,D3,L2,V1,M2} I { ! aInteger0( X ), aInteger0( smndt0
% 0.86/1.21 ( X ) ) }.
% 0.86/1.21 parent1[0]: (43) {G0,W2,D2,L1,V0,M1} I { aInteger0( xn ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 X := xn
% 0.86/1.21 end
% 0.86/1.21 substitution1:
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 subsumption: (88) {G1,W3,D3,L1,V0,M1} R(3,43) { aInteger0( smndt0( xn ) )
% 0.86/1.21 }.
% 0.86/1.21 parent0: (2945) {G1,W3,D3,L1,V0,M1} { aInteger0( smndt0( xn ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 end
% 0.86/1.21 permutation0:
% 0.86/1.21 0 ==> 0
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 eqswap: (2946) {G0,W10,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xa ) ) =
% 0.86/1.21 sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 0.86/1.21 parent0[1]: (46) {G0,W10,D4,L2,V1,M2} I { ! aInteger0( X ), ! sdtasdt0( xq
% 0.86/1.21 , X ) = sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 X := X
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 resolution: (2948) {G1,W9,D4,L1,V0,M1} { ! sdtpldt0( xb, smndt0( xa ) ) =
% 0.86/1.21 sdtasdt0( xq, smndt0( xn ) ) }.
% 0.86/1.21 parent0[1]: (2946) {G0,W10,D4,L2,V1,M2} { ! sdtpldt0( xb, smndt0( xa ) ) =
% 0.86/1.21 sdtasdt0( xq, X ), ! aInteger0( X ) }.
% 0.86/1.21 parent1[0]: (88) {G1,W3,D3,L1,V0,M1} R(3,43) { aInteger0( smndt0( xn ) )
% 0.86/1.21 }.
% 0.86/1.21 substitution0:
% 0.86/1.21 X := smndt0( xn )
% 0.86/1.21 end
% 0.86/1.21 substitution1:
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 paramod: (2949) {G1,W9,D4,L1,V0,M1} { ! sdtpldt0( xb, smndt0( xa ) ) =
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 parent0[0]: (45) {G0,W9,D4,L1,V0,M1} I { sdtasdt0( xq, smndt0( xn ) ) ==>
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 parent1[0; 6]: (2948) {G1,W9,D4,L1,V0,M1} { ! sdtpldt0( xb, smndt0( xa ) )
% 0.86/1.21 = sdtasdt0( xq, smndt0( xn ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 end
% 0.86/1.21 substitution1:
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 eqrefl: (2950) {G0,W0,D0,L0,V0,M0} { }.
% 0.86/1.21 parent0[0]: (2949) {G1,W9,D4,L1,V0,M1} { ! sdtpldt0( xb, smndt0( xa ) ) =
% 0.86/1.21 sdtpldt0( xb, smndt0( xa ) ) }.
% 0.86/1.21 substitution0:
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 subsumption: (2604) {G2,W0,D0,L0,V0,M0} R(46,88);d(45);q { }.
% 0.86/1.21 parent0: (2950) {G0,W0,D0,L0,V0,M0} { }.
% 0.86/1.21 substitution0:
% 0.86/1.21 end
% 0.86/1.21 permutation0:
% 0.86/1.21 end
% 0.86/1.21
% 0.86/1.21 Proof check complete!
% 0.86/1.21
% 0.86/1.21 Memory use:
% 0.86/1.21
% 0.86/1.21 space for terms: 34045
% 0.86/1.21 space for clauses: 160789
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 clauses generated: 7916
% 0.86/1.21 clauses kept: 2605
% 0.86/1.21 clauses selected: 171
% 0.86/1.21 clauses deleted: 10
% 0.86/1.21 clauses inuse deleted: 5
% 0.86/1.21
% 0.86/1.21 subsentry: 9213
% 0.86/1.21 literals s-matched: 4150
% 0.86/1.21 literals matched: 3937
% 0.86/1.21 full subsumption: 1608
% 0.86/1.21
% 0.86/1.21 checksum: -757163228
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Bliksem ended
%------------------------------------------------------------------------------