TSTP Solution File: NUM423+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM423+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 06:22:06 EDT 2022
% Result : Theorem 0.86s 1.26s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n015.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 : Tue Jul 5 18:45:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.86/1.26 *** allocated 10000 integers for termspace/termends
% 0.86/1.26 *** allocated 10000 integers for clauses
% 0.86/1.26 *** allocated 10000 integers for justifications
% 0.86/1.26 Bliksem 1.12
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Automatic Strategy Selection
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Clauses:
% 0.86/1.26
% 0.86/1.26 { && }.
% 0.86/1.26 { aInteger0( sz00 ) }.
% 0.86/1.26 { aInteger0( sz10 ) }.
% 0.86/1.26 { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X,
% 0.86/1.26 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 0.86/1.26 .
% 0.86/1.26 { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.86/1.26 { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 0.86/1.26 { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 0.86/1.26 { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 0.86/1.26 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 0.86/1.26 .
% 0.86/1.26 { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.86/1.26 { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 0.86/1.26 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 0.86/1.26 ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.86/1.26 { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.86/1.26 { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.86/1.26 { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 0.86/1.26 { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00,
% 0.86/1.26 Y = sz00 }.
% 0.86/1.26 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 0.86/1.26 }.
% 0.86/1.26 { ! alpha1( X, Y ), ! Y = sz00 }.
% 0.86/1.26 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.86/1.26 { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.86/1.26 { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 0.86/1.26 { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 0.86/1.26 { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.86/1.26 sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 0.86/1.26 ) ) }.
% 0.86/1.26 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.86/1.26 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 0.86/1.26 , Z ) }.
% 0.86/1.26 { aInteger0( xa ) }.
% 0.86/1.26 { aInteger0( xq ) }.
% 0.86/1.26 { ! xq = sz00 }.
% 0.86/1.26 { ! aInteger0( X ), ! sdtasdt0( xq, X ) = sdtpldt0( xa, smndt0( xa ) ) }.
% 0.86/1.26 { ! aDivisorOf0( xq, sdtpldt0( xa, smndt0( xa ) ) ) }.
% 0.86/1.26 { ! sdteqdtlpzmzozddtrp0( xa, xa, xq ) }.
% 0.86/1.26
% 0.86/1.26 percentage equality = 0.267327, percentage horn = 0.900000
% 0.86/1.26 This is a problem with some equality
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Options Used:
% 0.86/1.26
% 0.86/1.26 useres = 1
% 0.86/1.26 useparamod = 1
% 0.86/1.26 useeqrefl = 1
% 0.86/1.26 useeqfact = 1
% 0.86/1.26 usefactor = 1
% 0.86/1.26 usesimpsplitting = 0
% 0.86/1.26 usesimpdemod = 5
% 0.86/1.26 usesimpres = 3
% 0.86/1.26
% 0.86/1.26 resimpinuse = 1000
% 0.86/1.26 resimpclauses = 20000
% 0.86/1.26 substype = eqrewr
% 0.86/1.26 backwardsubs = 1
% 0.86/1.26 selectoldest = 5
% 0.86/1.26
% 0.86/1.26 litorderings [0] = split
% 0.86/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.26
% 0.86/1.26 termordering = kbo
% 0.86/1.26
% 0.86/1.26 litapriori = 0
% 0.86/1.26 termapriori = 1
% 0.86/1.26 litaposteriori = 0
% 0.86/1.26 termaposteriori = 0
% 0.86/1.26 demodaposteriori = 0
% 0.86/1.26 ordereqreflfact = 0
% 0.86/1.26
% 0.86/1.26 litselect = negord
% 0.86/1.26
% 0.86/1.26 maxweight = 15
% 0.86/1.26 maxdepth = 30000
% 0.86/1.26 maxlength = 115
% 0.86/1.26 maxnrvars = 195
% 0.86/1.26 excuselevel = 1
% 0.86/1.26 increasemaxweight = 1
% 0.86/1.26
% 0.86/1.26 maxselected = 10000000
% 0.86/1.26 maxnrclauses = 10000000
% 0.86/1.26
% 0.86/1.26 showgenerated = 0
% 0.86/1.26 showkept = 0
% 0.86/1.26 showselected = 0
% 0.86/1.26 showdeleted = 0
% 0.86/1.26 showresimp = 1
% 0.86/1.26 showstatus = 2000
% 0.86/1.26
% 0.86/1.26 prologoutput = 0
% 0.86/1.26 nrgoals = 5000000
% 0.86/1.26 totalproof = 1
% 0.86/1.26
% 0.86/1.26 Symbols occurring in the translation:
% 0.86/1.26
% 0.86/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.26 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.86/1.26 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.86/1.26 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.86/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.26 aInteger0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.86/1.26 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.86/1.26 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.86/1.26 smndt0 [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.86/1.26 sdtpldt0 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.86/1.26 sdtasdt0 [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.86/1.26 aDivisorOf0 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.26 sdteqdtlpzmzozddtrp0 [45, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.86/1.26 xa [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.86/1.26 xq [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.86/1.26 alpha1 [48, 2] (w:1, o:47, a:1, s:1, b:1),
% 0.86/1.26 alpha2 [49, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.86/1.26 skol1 [50, 2] (w:1, o:49, a:1, s:1, b:1).
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Starting Search:
% 0.86/1.26
% 0.86/1.26 *** allocated 15000 integers for clauses
% 0.86/1.26 *** allocated 22500 integers for clauses
% 0.86/1.26 *** allocated 33750 integers for clauses
% 0.86/1.26 *** allocated 50625 integers for clauses
% 0.86/1.26 *** allocated 75937 integers for clauses
% 0.86/1.26 *** allocated 15000 integers for termspace/termends
% 0.86/1.26 Resimplifying inuse:
% 0.86/1.26 Done
% 0.86/1.26
% 0.86/1.26 *** allocated 113905 integers for clauses
% 0.86/1.26 *** allocated 22500 integers for termspace/termends
% 0.86/1.26 *** allocated 170857 integers for clauses
% 0.86/1.26 *** allocated 33750 integers for termspace/termends
% 0.86/1.26
% 0.86/1.26 Intermediate Status:
% 0.86/1.26 Generated: 5198
% 0.86/1.26 Kept: 2036
% 0.86/1.26 Inuse: 120
% 0.86/1.26 Deleted: 12
% 0.86/1.26 Deletedinuse: 11
% 0.86/1.26
% 0.86/1.26 Resimplifying inuse:
% 0.86/1.26 Done
% 0.86/1.26
% 0.86/1.26 *** allocated 256285 integers for clauses
% 0.86/1.26
% 0.86/1.26 Bliksems!, er is een bewijs:
% 0.86/1.26 % SZS status Theorem
% 0.86/1.26 % SZS output start Refutation
% 0.86/1.26
% 0.86/1.26 (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 0.86/1.26 (10) {G0,W8,D4,L2,V1,M2} I { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 0.86/1.26 ==> sz00 }.
% 0.86/1.26 (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X, sz00 ) ==> sz00
% 0.86/1.26 }.
% 0.86/1.26 (25) {G0,W10,D2,L4,V2,M4} I { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1
% 0.86/1.26 ( X, Y ), aDivisorOf0( Y, X ) }.
% 0.86/1.26 (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.86/1.26 (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 0.86/1.26 alpha2( X, Y ) }.
% 0.86/1.26 (34) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 0.86/1.26 (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 0.86/1.26 (36) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 0.86/1.26 (38) {G0,W6,D4,L1,V0,M1} I { ! aDivisorOf0( xq, sdtpldt0( xa, smndt0( xa )
% 0.86/1.26 ) ) }.
% 0.86/1.26 (377) {G1,W6,D4,L1,V0,M1} R(10,34) { sdtpldt0( xa, smndt0( xa ) ) ==> sz00
% 0.86/1.26 }.
% 0.86/1.26 (1002) {G1,W5,D3,L1,V0,M1} R(18,35) { sdtasdt0( xq, sz00 ) ==> sz00 }.
% 0.86/1.26 (2201) {G2,W6,D2,L2,V1,M2} P(1002,31);r(1) { ! sz00 = X, alpha2( X, xq )
% 0.86/1.26 }.
% 0.86/1.26 (2233) {G3,W3,D2,L1,V0,M1} Q(2201) { alpha2( sz00, xq ) }.
% 0.86/1.26 (2595) {G2,W3,D2,L1,V0,M1} S(38);d(377) { ! aDivisorOf0( xq, sz00 ) }.
% 0.86/1.26 (2596) {G3,W5,D2,L2,V0,M2} R(2595,25);r(1) { ! aInteger0( xq ), ! alpha1(
% 0.86/1.26 sz00, xq ) }.
% 0.86/1.26 (2699) {G4,W3,D2,L1,V0,M1} S(2596);r(35) { ! alpha1( sz00, xq ) }.
% 0.86/1.26 (2700) {G5,W3,D2,L1,V0,M1} R(2699,28);r(2233) { xq ==> sz00 }.
% 0.86/1.26 (2701) {G6,W0,D0,L0,V0,M0} S(2700);r(36) { }.
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 % SZS output end Refutation
% 0.86/1.26 found a proof!
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Unprocessed initial clauses:
% 0.86/1.26
% 0.86/1.26 (2703) {G0,W1,D1,L1,V0,M1} { && }.
% 0.86/1.26 (2704) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 0.86/1.26 (2705) {G0,W2,D2,L1,V0,M1} { aInteger0( sz10 ) }.
% 0.86/1.26 (2706) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0( X ) )
% 0.86/1.26 }.
% 0.86/1.26 (2707) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), aInteger0
% 0.86/1.26 ( sdtpldt0( X, Y ) ) }.
% 0.86/1.26 (2708) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), aInteger0
% 0.86/1.26 ( sdtasdt0( X, Y ) ) }.
% 0.86/1.26 (2709) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X,
% 0.86/1.26 Y ), Z ) }.
% 0.86/1.26 (2710) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0
% 0.86/1.26 ( X, Y ) = sdtpldt0( Y, X ) }.
% 0.86/1.26 (2711) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.86/1.26 (2712) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 0.86/1.26 (2713) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) )
% 0.86/1.26 = sz00 }.
% 0.86/1.26 (2714) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X
% 0.86/1.26 ), X ) }.
% 0.86/1.26 (2715) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X,
% 0.86/1.26 Y ), Z ) }.
% 0.86/1.26 (2716) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0
% 0.86/1.26 ( X, Y ) = sdtasdt0( Y, X ) }.
% 0.86/1.26 (2717) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.86/1.26 (2718) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 0.86/1.26 (2719) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X,
% 0.86/1.26 Y ), sdtasdt0( X, Z ) ) }.
% 0.86/1.26 (2720) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X,
% 0.86/1.26 Z ), sdtasdt0( Y, Z ) ) }.
% 0.86/1.26 (2721) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 0.86/1.26 }.
% 0.86/1.26 (2722) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 0.86/1.26 }.
% 0.86/1.26 (2723) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X
% 0.86/1.26 ) = smndt0( X ) }.
% 0.86/1.26 (2724) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X,
% 0.86/1.26 smndt0( sz10 ) ) }.
% 0.86/1.26 (2725) {G0,W15,D3,L5,V2,M5} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.86/1.26 (2726) {G0,W7,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 0.86/1.26 aInteger0( Y ) }.
% 0.86/1.26 (2727) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 0.86/1.26 alpha1( X, Y ) }.
% 0.86/1.26 (2728) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1
% 0.86/1.26 ( X, Y ), aDivisorOf0( Y, X ) }.
% 0.86/1.26 (2729) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = sz00 }.
% 0.86/1.26 (2730) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.86/1.26 (2731) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y )
% 0.86/1.26 }.
% 0.86/1.26 (2732) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 0.86/1.26 }.
% 0.86/1.26 (2733) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 0.86/1.26 ) = X }.
% 0.86/1.26 (2734) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 0.86/1.26 alpha2( X, Y ) }.
% 0.86/1.26 (2735) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 0.86/1.26 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 0.86/1.26 (2736) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.86/1.26 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 0.86/1.26 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 0.86/1.26 (2737) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 0.86/1.26 (2738) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 0.86/1.26 (2739) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 0.86/1.26 (2740) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 0.86/1.26 sdtpldt0( xa, smndt0( xa ) ) }.
% 0.86/1.26 (2741) {G0,W6,D4,L1,V0,M1} { ! aDivisorOf0( xq, sdtpldt0( xa, smndt0( xa )
% 0.86/1.26 ) ) }.
% 0.86/1.26 (2742) {G0,W4,D2,L1,V0,M1} { ! sdteqdtlpzmzozddtrp0( xa, xa, xq ) }.
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Total Proof:
% 0.86/1.26
% 0.86/1.26 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 0.86/1.26 parent0: (2704) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 0.86/1.26 substitution0:
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 0 ==> 0
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 subsumption: (10) {G0,W8,D4,L2,V1,M2} I { ! aInteger0( X ), sdtpldt0( X,
% 0.86/1.26 smndt0( X ) ) ==> sz00 }.
% 0.86/1.26 parent0: (2713) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X,
% 0.86/1.26 smndt0( X ) ) = sz00 }.
% 0.86/1.26 substitution0:
% 0.86/1.26 X := X
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 0 ==> 0
% 0.86/1.26 1 ==> 1
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 *** allocated 50625 integers for termspace/termends
% 0.86/1.26 subsumption: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 0.86/1.26 sz00 ) ==> sz00 }.
% 0.86/1.26 parent0: (2721) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00
% 0.86/1.26 ) = sz00 }.
% 0.86/1.26 substitution0:
% 0.86/1.26 X := X
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 0 ==> 0
% 0.86/1.26 1 ==> 1
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 subsumption: (25) {G0,W10,D2,L4,V2,M4} I { ! aInteger0( X ), ! aInteger0( Y
% 0.86/1.26 ), ! alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 0.86/1.26 parent0: (2728) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y )
% 0.86/1.26 , ! alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 0.86/1.26 substitution0:
% 0.86/1.26 X := X
% 0.86/1.26 Y := Y
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 0 ==> 0
% 0.86/1.26 1 ==> 1
% 0.86/1.26 2 ==> 2
% 0.86/1.26 3 ==> 3
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 subsumption: (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ),
% 0.86/1.26 alpha1( X, Y ) }.
% 0.86/1.26 parent0: (2731) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1(
% 0.86/1.26 X, Y ) }.
% 0.86/1.26 substitution0:
% 0.86/1.26 X := X
% 0.86/1.26 Y := Y
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 0 ==> 0
% 0.86/1.26 1 ==> 1
% 0.86/1.26 2 ==> 2
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 subsumption: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y
% 0.86/1.27 , Z ) = X, alpha2( X, Y ) }.
% 0.86/1.27 parent0: (2734) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z
% 0.86/1.27 ) = X, alpha2( X, Y ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 Y := Y
% 0.86/1.27 Z := Z
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 1 ==> 1
% 0.86/1.27 2 ==> 2
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (34) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 0.86/1.27 parent0: (2737) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 0.86/1.27 parent0: (2738) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (36) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 0.86/1.27 parent0: (2739) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (38) {G0,W6,D4,L1,V0,M1} I { ! aDivisorOf0( xq, sdtpldt0( xa,
% 0.86/1.27 smndt0( xa ) ) ) }.
% 0.86/1.27 parent0: (2741) {G0,W6,D4,L1,V0,M1} { ! aDivisorOf0( xq, sdtpldt0( xa,
% 0.86/1.27 smndt0( xa ) ) ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3378) {G0,W8,D4,L2,V1,M2} { sz00 ==> sdtpldt0( X, smndt0( X ) ),
% 0.86/1.27 ! aInteger0( X ) }.
% 0.86/1.27 parent0[1]: (10) {G0,W8,D4,L2,V1,M2} I { ! aInteger0( X ), sdtpldt0( X,
% 0.86/1.27 smndt0( X ) ) ==> sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3379) {G1,W6,D4,L1,V0,M1} { sz00 ==> sdtpldt0( xa, smndt0( xa
% 0.86/1.27 ) ) }.
% 0.86/1.27 parent0[1]: (3378) {G0,W8,D4,L2,V1,M2} { sz00 ==> sdtpldt0( X, smndt0( X )
% 0.86/1.27 ), ! aInteger0( X ) }.
% 0.86/1.27 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { aInteger0( xa ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := xa
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3380) {G1,W6,D4,L1,V0,M1} { sdtpldt0( xa, smndt0( xa ) ) ==> sz00
% 0.86/1.27 }.
% 0.86/1.27 parent0[0]: (3379) {G1,W6,D4,L1,V0,M1} { sz00 ==> sdtpldt0( xa, smndt0( xa
% 0.86/1.27 ) ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (377) {G1,W6,D4,L1,V0,M1} R(10,34) { sdtpldt0( xa, smndt0( xa
% 0.86/1.27 ) ) ==> sz00 }.
% 0.86/1.27 parent0: (3380) {G1,W6,D4,L1,V0,M1} { sdtpldt0( xa, smndt0( xa ) ) ==>
% 0.86/1.27 sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3381) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 0.86/1.27 aInteger0( X ) }.
% 0.86/1.27 parent0[1]: (18) {G0,W7,D3,L2,V1,M2} I { ! aInteger0( X ), sdtasdt0( X,
% 0.86/1.27 sz00 ) ==> sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3382) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xq, sz00 ) }.
% 0.86/1.27 parent0[1]: (3381) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 0.86/1.27 aInteger0( X ) }.
% 0.86/1.27 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := xq
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3383) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xq, sz00 ) ==> sz00 }.
% 0.86/1.27 parent0[0]: (3382) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xq, sz00 ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (1002) {G1,W5,D3,L1,V0,M1} R(18,35) { sdtasdt0( xq, sz00 ) ==>
% 0.86/1.27 sz00 }.
% 0.86/1.27 parent0: (3383) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xq, sz00 ) ==> sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3385) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), ! aInteger0
% 0.86/1.27 ( Y ), alpha2( Z, X ) }.
% 0.86/1.27 parent0[1]: (31) {G0,W10,D3,L3,V3,M3} I { ! aInteger0( Z ), ! sdtasdt0( Y,
% 0.86/1.27 Z ) = X, alpha2( X, Y ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := Z
% 0.86/1.27 Y := X
% 0.86/1.27 Z := Y
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 paramod: (3386) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( sz00 ),
% 0.86/1.27 alpha2( X, xq ) }.
% 0.86/1.27 parent0[0]: (1002) {G1,W5,D3,L1,V0,M1} R(18,35) { sdtasdt0( xq, sz00 ) ==>
% 0.86/1.27 sz00 }.
% 0.86/1.27 parent1[0; 3]: (3385) {G0,W10,D3,L3,V3,M3} { ! Z = sdtasdt0( X, Y ), !
% 0.86/1.27 aInteger0( Y ), alpha2( Z, X ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 X := xq
% 0.86/1.27 Y := sz00
% 0.86/1.27 Z := X
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3387) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 0.86/1.27 parent0[1]: (3386) {G1,W8,D2,L3,V1,M3} { ! X = sz00, ! aInteger0( sz00 ),
% 0.86/1.27 alpha2( X, xq ) }.
% 0.86/1.27 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3388) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, xq ) }.
% 0.86/1.27 parent0[0]: (3387) {G1,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2201) {G2,W6,D2,L2,V1,M2} P(1002,31);r(1) { ! sz00 = X,
% 0.86/1.27 alpha2( X, xq ) }.
% 0.86/1.27 parent0: (3388) {G1,W6,D2,L2,V1,M2} { ! sz00 = X, alpha2( X, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 1 ==> 1
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3389) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 0.86/1.27 parent0[0]: (2201) {G2,W6,D2,L2,V1,M2} P(1002,31);r(1) { ! sz00 = X, alpha2
% 0.86/1.27 ( X, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := X
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqrefl: (3390) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, xq ) }.
% 0.86/1.27 parent0[0]: (3389) {G2,W6,D2,L2,V1,M2} { ! X = sz00, alpha2( X, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := sz00
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2233) {G3,W3,D2,L1,V0,M1} Q(2201) { alpha2( sz00, xq ) }.
% 0.86/1.27 parent0: (3390) {G0,W3,D2,L1,V0,M1} { alpha2( sz00, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 paramod: (3392) {G1,W3,D2,L1,V0,M1} { ! aDivisorOf0( xq, sz00 ) }.
% 0.86/1.27 parent0[0]: (377) {G1,W6,D4,L1,V0,M1} R(10,34) { sdtpldt0( xa, smndt0( xa )
% 0.86/1.27 ) ==> sz00 }.
% 0.86/1.27 parent1[0; 3]: (38) {G0,W6,D4,L1,V0,M1} I { ! aDivisorOf0( xq, sdtpldt0( xa
% 0.86/1.27 , smndt0( xa ) ) ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2595) {G2,W3,D2,L1,V0,M1} S(38);d(377) { ! aDivisorOf0( xq,
% 0.86/1.27 sz00 ) }.
% 0.86/1.27 parent0: (3392) {G1,W3,D2,L1,V0,M1} { ! aDivisorOf0( xq, sz00 ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3393) {G1,W7,D2,L3,V0,M3} { ! aInteger0( sz00 ), ! aInteger0
% 0.86/1.27 ( xq ), ! alpha1( sz00, xq ) }.
% 0.86/1.27 parent0[0]: (2595) {G2,W3,D2,L1,V0,M1} S(38);d(377) { ! aDivisorOf0( xq,
% 0.86/1.27 sz00 ) }.
% 0.86/1.27 parent1[3]: (25) {G0,W10,D2,L4,V2,M4} I { ! aInteger0( X ), ! aInteger0( Y
% 0.86/1.27 ), ! alpha1( X, Y ), aDivisorOf0( Y, X ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 X := sz00
% 0.86/1.27 Y := xq
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3394) {G1,W5,D2,L2,V0,M2} { ! aInteger0( xq ), ! alpha1( sz00
% 0.86/1.27 , xq ) }.
% 0.86/1.27 parent0[0]: (3393) {G1,W7,D2,L3,V0,M3} { ! aInteger0( sz00 ), ! aInteger0
% 0.86/1.27 ( xq ), ! alpha1( sz00, xq ) }.
% 0.86/1.27 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aInteger0( sz00 ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2596) {G3,W5,D2,L2,V0,M2} R(2595,25);r(1) { ! aInteger0( xq )
% 0.86/1.27 , ! alpha1( sz00, xq ) }.
% 0.86/1.27 parent0: (3394) {G1,W5,D2,L2,V0,M2} { ! aInteger0( xq ), ! alpha1( sz00,
% 0.86/1.27 xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 1 ==> 1
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3395) {G1,W3,D2,L1,V0,M1} { ! alpha1( sz00, xq ) }.
% 0.86/1.27 parent0[0]: (2596) {G3,W5,D2,L2,V0,M2} R(2595,25);r(1) { ! aInteger0( xq )
% 0.86/1.27 , ! alpha1( sz00, xq ) }.
% 0.86/1.27 parent1[0]: (35) {G0,W2,D2,L1,V0,M1} I { aInteger0( xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2699) {G4,W3,D2,L1,V0,M1} S(2596);r(35) { ! alpha1( sz00, xq
% 0.86/1.27 ) }.
% 0.86/1.27 parent0: (3395) {G1,W3,D2,L1,V0,M1} { ! alpha1( sz00, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3396) {G0,W9,D2,L3,V2,M3} { sz00 = X, ! alpha2( Y, X ), alpha1( Y
% 0.86/1.27 , X ) }.
% 0.86/1.27 parent0[0]: (28) {G0,W9,D2,L3,V2,M3} I { Y = sz00, ! alpha2( X, Y ), alpha1
% 0.86/1.27 ( X, Y ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 X := Y
% 0.86/1.27 Y := X
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3397) {G1,W6,D2,L2,V0,M2} { sz00 = xq, ! alpha2( sz00, xq )
% 0.86/1.27 }.
% 0.86/1.27 parent0[0]: (2699) {G4,W3,D2,L1,V0,M1} S(2596);r(35) { ! alpha1( sz00, xq )
% 0.86/1.27 }.
% 0.86/1.27 parent1[2]: (3396) {G0,W9,D2,L3,V2,M3} { sz00 = X, ! alpha2( Y, X ),
% 0.86/1.27 alpha1( Y, X ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 X := xq
% 0.86/1.27 Y := sz00
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3398) {G2,W3,D2,L1,V0,M1} { sz00 = xq }.
% 0.86/1.27 parent0[1]: (3397) {G1,W6,D2,L2,V0,M2} { sz00 = xq, ! alpha2( sz00, xq )
% 0.86/1.27 }.
% 0.86/1.27 parent1[0]: (2233) {G3,W3,D2,L1,V0,M1} Q(2201) { alpha2( sz00, xq ) }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 eqswap: (3399) {G2,W3,D2,L1,V0,M1} { xq = sz00 }.
% 0.86/1.27 parent0[0]: (3398) {G2,W3,D2,L1,V0,M1} { sz00 = xq }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2700) {G5,W3,D2,L1,V0,M1} R(2699,28);r(2233) { xq ==> sz00
% 0.86/1.27 }.
% 0.86/1.27 parent0: (3399) {G2,W3,D2,L1,V0,M1} { xq = sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 0 ==> 0
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 resolution: (3402) {G1,W0,D0,L0,V0,M0} { }.
% 0.86/1.27 parent0[0]: (36) {G0,W3,D2,L1,V0,M1} I { ! xq ==> sz00 }.
% 0.86/1.27 parent1[0]: (2700) {G5,W3,D2,L1,V0,M1} R(2699,28);r(2233) { xq ==> sz00 }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 substitution1:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 subsumption: (2701) {G6,W0,D0,L0,V0,M0} S(2700);r(36) { }.
% 0.86/1.27 parent0: (3402) {G1,W0,D0,L0,V0,M0} { }.
% 0.86/1.27 substitution0:
% 0.86/1.27 end
% 0.86/1.27 permutation0:
% 0.86/1.27 end
% 0.86/1.27
% 0.86/1.27 Proof check complete!
% 0.86/1.27
% 0.86/1.27 Memory use:
% 0.86/1.27
% 0.86/1.27 space for terms: 32897
% 0.86/1.27 space for clauses: 171751
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 clauses generated: 7797
% 0.86/1.27 clauses kept: 2702
% 0.86/1.27 clauses selected: 159
% 0.86/1.27 clauses deleted: 21
% 0.86/1.27 clauses inuse deleted: 16
% 0.86/1.27
% 0.86/1.27 subsentry: 11529
% 0.86/1.27 literals s-matched: 5108
% 0.86/1.27 literals matched: 4756
% 0.86/1.27 full subsumption: 1878
% 0.86/1.27
% 0.86/1.27 checksum: 146373680
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Bliksem ended
%------------------------------------------------------------------------------