TSTP Solution File: NUM429+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 06:22:10 EDT 2022
% Result : Theorem 0.41s 1.07s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Tue Jul 5 05:17:43 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.41/1.07 *** allocated 10000 integers for termspace/termends
% 0.41/1.07 *** allocated 10000 integers for clauses
% 0.41/1.07 *** allocated 10000 integers for justifications
% 0.41/1.07 Bliksem 1.12
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Automatic Strategy Selection
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Clauses:
% 0.41/1.07
% 0.41/1.07 { && }.
% 0.41/1.07 { aInteger0( sz00 ) }.
% 0.41/1.07 { aInteger0( sz10 ) }.
% 0.41/1.07 { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtpldt0( X, Y ) ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), aInteger0( sdtasdt0( X, Y ) ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtpldt0( X,
% 0.41/1.07 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X, Y ), Z ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }
% 0.41/1.07 .
% 0.41/1.07 { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.41/1.07 { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 0.41/1.07 { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) = sz00 }.
% 0.41/1.07 { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X ), X ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 0.41/1.07 sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X, Y ), Z ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }
% 0.41/1.07 .
% 0.41/1.07 { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.41/1.07 { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( X,
% 0.41/1.07 sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), sdtasdt0( sdtpldt0
% 0.41/1.07 ( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.41/1.07 { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.41/1.07 { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.41/1.07 { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X ) = smndt0( X ) }.
% 0.41/1.07 { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X, smndt0( sz10 ) ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00,
% 0.41/1.07 Y = sz00 }.
% 0.41/1.07 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), aInteger0( Y ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aDivisorOf0( Y, X ), alpha1( X, Y ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1( X, Y ), aDivisorOf0( Y, X )
% 0.41/1.07 }.
% 0.41/1.07 { ! alpha1( X, Y ), ! Y = sz00 }.
% 0.41/1.07 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.41/1.07 { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.41/1.07 { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) ) }.
% 0.41/1.07 { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y ) ) = X }.
% 0.41/1.07 { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X, alpha2( X, Y ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.41/1.07 sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0( Z, sdtpldt0( X, smndt0( Y )
% 0.41/1.07 ) ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.41/1.07 aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) ), sdteqdtlpzmzozddtrp0( X, Y
% 0.41/1.07 , Z ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00, sdteqdtlpzmzozddtrp0( X, X
% 0.41/1.07 , Y ) }.
% 0.41/1.07 { ! aInteger0( X ), ! aInteger0( Y ), ! aInteger0( Z ), Z = sz00, !
% 0.41/1.07 sdteqdtlpzmzozddtrp0( X, Y, Z ), sdteqdtlpzmzozddtrp0( Y, X, Z ) }.
% 0.41/1.07 { aInteger0( xa ) }.
% 0.41/1.07 { aInteger0( xb ) }.
% 0.41/1.07 { aInteger0( xq ) }.
% 0.41/1.07 { ! xq = sz00 }.
% 0.41/1.07 { aInteger0( xc ) }.
% 0.41/1.07 { aInteger0( skol2 ) }.
% 0.41/1.07 { sdtasdt0( xq, skol2 ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 0.41/1.07 { aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) ) ) }.
% 0.41/1.07 { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 0.41/1.07 { aInteger0( skol3 ) }.
% 0.41/1.07 { sdtasdt0( xq, skol3 ) = sdtpldt0( xb, smndt0( xc ) ) }.
% 0.41/1.07 { aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) ) ) }.
% 0.41/1.07 { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 0.41/1.07 { ! aInteger0( X ), ! sdtasdt0( xq, X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 0.41/1.07
% 0.41/1.07 percentage equality = 0.260504, percentage horn = 0.880000
% 0.41/1.07 This is a problem with some equality
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Options Used:
% 0.41/1.07
% 0.41/1.07 useres = 1
% 0.41/1.07 useparamod = 1
% 0.41/1.07 useeqrefl = 1
% 0.41/1.07 useeqfact = 1
% 0.41/1.07 usefactor = 1
% 0.41/1.07 usesimpsplitting = 0
% 0.41/1.07 usesimpdemod = 5
% 0.41/1.07 usesimpres = 3
% 0.41/1.07
% 0.41/1.07 resimpinuse = 1000
% 0.41/1.07 resimpclauses = 20000
% 0.41/1.07 substype = eqrewr
% 0.41/1.07 backwardsubs = 1
% 0.41/1.07 selectoldest = 5
% 0.41/1.07
% 0.41/1.07 litorderings [0] = split
% 0.41/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.07
% 0.41/1.07 termordering = kbo
% 0.41/1.07
% 0.41/1.07 litapriori = 0
% 0.41/1.07 termapriori = 1
% 0.41/1.07 litaposteriori = 0
% 0.41/1.07 termaposteriori = 0
% 0.41/1.07 demodaposteriori = 0
% 0.41/1.07 ordereqreflfact = 0
% 0.41/1.07
% 0.41/1.07 litselect = negord
% 0.41/1.07
% 0.41/1.07 maxweight = 15
% 0.41/1.07 maxdepth = 30000
% 0.41/1.07 maxlength = 115
% 0.41/1.07 maxnrvars = 195
% 0.41/1.07 excuselevel = 1
% 0.41/1.07 increasemaxweight = 1
% 0.41/1.07
% 0.41/1.07 maxselected = 10000000
% 0.41/1.07 maxnrclauses = 10000000
% 0.41/1.07
% 0.41/1.07 showgenerated = 0
% 0.41/1.07 showkept = 0
% 0.41/1.07 showselected = 0
% 0.41/1.07 showdeleted = 0
% 0.41/1.07 showresimp = 1
% 0.41/1.07 showstatus = 2000
% 0.41/1.07
% 0.41/1.07 prologoutput = 0
% 0.41/1.07 nrgoals = 5000000
% 0.41/1.07 totalproof = 1
% 0.41/1.07
% 0.41/1.07 Symbols occurring in the translation:
% 0.41/1.07
% 0.41/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.07 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.41/1.07 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.41/1.07 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.41/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.07 aInteger0 [36, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.41/1.07 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.41/1.07 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.41/1.07 smndt0 [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.41/1.07 sdtpldt0 [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.41/1.07 sdtasdt0 [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.41/1.07 aDivisorOf0 [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.41/1.07 sdteqdtlpzmzozddtrp0 [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.41/1.07 xa [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.41/1.07 xb [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.07 xq [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.07 xc [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.41/1.07 alpha1 [50, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.41/1.07 alpha2 [51, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.41/1.07 skol1 [52, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.41/1.07 skol2 [53, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.41/1.07 skol3 [54, 0] (w:1, o:16, a:1, s:1, b:1).
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Starting Search:
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Bliksems!, er is een bewijs:
% 0.41/1.07 % SZS status Theorem
% 0.41/1.07 % SZS output start Refutation
% 0.41/1.07
% 0.41/1.07 (41) {G0,W2,D2,L1,V0,M1} I { aInteger0( skol2 ) }.
% 0.41/1.07 (42) {G0,W8,D4,L1,V0,M1} I { sdtpldt0( xa, smndt0( xb ) ) ==> sdtasdt0( xq
% 0.41/1.07 , skol2 ) }.
% 0.41/1.07 (49) {G1,W9,D3,L2,V1,M2} I;d(42) { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 0.41/1.07 sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 (84) {G2,W0,D0,L0,V0,M0} Q(49);r(41) { }.
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 % SZS output end Refutation
% 0.41/1.07 found a proof!
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Unprocessed initial clauses:
% 0.41/1.07
% 0.41/1.07 (86) {G0,W1,D1,L1,V0,M1} { && }.
% 0.41/1.07 (87) {G0,W2,D2,L1,V0,M1} { aInteger0( sz00 ) }.
% 0.41/1.07 (88) {G0,W2,D2,L1,V0,M1} { aInteger0( sz10 ) }.
% 0.41/1.07 (89) {G0,W5,D3,L2,V1,M2} { ! aInteger0( X ), aInteger0( smndt0( X ) ) }.
% 0.41/1.07 (90) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), aInteger0(
% 0.41/1.07 sdtpldt0( X, Y ) ) }.
% 0.41/1.07 (91) {G0,W8,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), aInteger0(
% 0.41/1.07 sdtasdt0( X, Y ) ) }.
% 0.41/1.07 (92) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), sdtpldt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtpldt0( X,
% 0.41/1.07 Y ), Z ) }.
% 0.41/1.07 (93) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), sdtpldt0(
% 0.41/1.07 X, Y ) = sdtpldt0( Y, X ) }.
% 0.41/1.07 (94) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.41/1.07 (95) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtpldt0( sz00, X ) }.
% 0.41/1.07 (96) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sdtpldt0( X, smndt0( X ) ) =
% 0.41/1.07 sz00 }.
% 0.41/1.07 (97) {G0,W8,D4,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtpldt0( smndt0( X )
% 0.41/1.07 , X ) }.
% 0.41/1.07 (98) {G0,W17,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), sdtasdt0( X, sdtasdt0( Y, Z ) ) = sdtasdt0( sdtasdt0( X,
% 0.41/1.07 Y ), Z ) }.
% 0.41/1.07 (99) {G0,W11,D3,L3,V2,M3} { ! aInteger0( X ), ! aInteger0( Y ), sdtasdt0(
% 0.41/1.07 X, Y ) = sdtasdt0( Y, X ) }.
% 0.41/1.07 (100) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.41/1.07 (101) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), X = sdtasdt0( sz10, X ) }.
% 0.41/1.07 (102) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X,
% 0.41/1.07 Y ), sdtasdt0( X, Z ) ) }.
% 0.41/1.07 (103) {G0,W19,D4,L4,V3,M4} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X,
% 0.41/1.07 Z ), sdtasdt0( Y, Z ) ) }.
% 0.41/1.07 (104) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( X, sz00 ) = sz00
% 0.41/1.07 }.
% 0.41/1.07 (105) {G0,W7,D3,L2,V1,M2} { ! aInteger0( X ), sz00 = sdtasdt0( sz00, X )
% 0.41/1.07 }.
% 0.41/1.07 (106) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), sdtasdt0( smndt0( sz10 ), X
% 0.41/1.07 ) = smndt0( X ) }.
% 0.41/1.07 (107) {G0,W9,D4,L2,V1,M2} { ! aInteger0( X ), smndt0( X ) = sdtasdt0( X,
% 0.41/1.07 smndt0( sz10 ) ) }.
% 0.41/1.07 (108) {G0,W15,D3,L5,V2,M5} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.41/1.07 (109) {G0,W7,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 0.41/1.07 aInteger0( Y ) }.
% 0.41/1.07 (110) {G0,W8,D2,L3,V2,M3} { ! aInteger0( X ), ! aDivisorOf0( Y, X ),
% 0.41/1.07 alpha1( X, Y ) }.
% 0.41/1.07 (111) {G0,W10,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), ! alpha1
% 0.41/1.07 ( X, Y ), aDivisorOf0( Y, X ) }.
% 0.41/1.07 (112) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = sz00 }.
% 0.41/1.07 (113) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.41/1.07 (114) {G0,W9,D2,L3,V2,M3} { Y = sz00, ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.41/1.07 (115) {G0,W7,D3,L2,V4,M2} { ! alpha2( X, Y ), aInteger0( skol1( Z, T ) )
% 0.41/1.07 }.
% 0.41/1.07 (116) {G0,W10,D4,L2,V2,M2} { ! alpha2( X, Y ), sdtasdt0( Y, skol1( X, Y )
% 0.41/1.07 ) = X }.
% 0.41/1.07 (117) {G0,W10,D3,L3,V3,M3} { ! aInteger0( Z ), ! sdtasdt0( Y, Z ) = X,
% 0.41/1.07 alpha2( X, Y ) }.
% 0.41/1.07 (118) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ), aDivisorOf0
% 0.41/1.07 ( Z, sdtpldt0( X, smndt0( Y ) ) ) }.
% 0.41/1.07 (119) {G0,W19,D4,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), Z = sz00, ! aDivisorOf0( Z, sdtpldt0( X, smndt0( Y ) ) )
% 0.41/1.07 , sdteqdtlpzmzozddtrp0( X, Y, Z ) }.
% 0.41/1.07 (120) {G0,W11,D2,L4,V2,M4} { ! aInteger0( X ), ! aInteger0( Y ), Y = sz00
% 0.41/1.07 , sdteqdtlpzmzozddtrp0( X, X, Y ) }.
% 0.41/1.07 (121) {G0,W17,D2,L6,V3,M6} { ! aInteger0( X ), ! aInteger0( Y ), !
% 0.41/1.07 aInteger0( Z ), Z = sz00, ! sdteqdtlpzmzozddtrp0( X, Y, Z ),
% 0.41/1.07 sdteqdtlpzmzozddtrp0( Y, X, Z ) }.
% 0.41/1.07 (122) {G0,W2,D2,L1,V0,M1} { aInteger0( xa ) }.
% 0.41/1.07 (123) {G0,W2,D2,L1,V0,M1} { aInteger0( xb ) }.
% 0.41/1.07 (124) {G0,W2,D2,L1,V0,M1} { aInteger0( xq ) }.
% 0.41/1.07 (125) {G0,W3,D2,L1,V0,M1} { ! xq = sz00 }.
% 0.41/1.07 (126) {G0,W2,D2,L1,V0,M1} { aInteger0( xc ) }.
% 0.41/1.07 (127) {G0,W2,D2,L1,V0,M1} { aInteger0( skol2 ) }.
% 0.41/1.07 (128) {G0,W8,D4,L1,V0,M1} { sdtasdt0( xq, skol2 ) = sdtpldt0( xa, smndt0(
% 0.41/1.07 xb ) ) }.
% 0.41/1.07 (129) {G0,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xa, smndt0( xb ) )
% 0.41/1.07 ) }.
% 0.41/1.07 (130) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xa, xb, xq ) }.
% 0.41/1.07 (131) {G0,W2,D2,L1,V0,M1} { aInteger0( skol3 ) }.
% 0.41/1.07 (132) {G0,W8,D4,L1,V0,M1} { sdtasdt0( xq, skol3 ) = sdtpldt0( xb, smndt0(
% 0.41/1.07 xc ) ) }.
% 0.41/1.07 (133) {G0,W6,D4,L1,V0,M1} { aDivisorOf0( xq, sdtpldt0( xb, smndt0( xc ) )
% 0.41/1.07 ) }.
% 0.41/1.07 (134) {G0,W4,D2,L1,V0,M1} { sdteqdtlpzmzozddtrp0( xb, xc, xq ) }.
% 0.41/1.07 (135) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0( xq, X ) =
% 0.41/1.07 sdtpldt0( xa, smndt0( xb ) ) }.
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Total Proof:
% 0.41/1.07
% 0.41/1.07 subsumption: (41) {G0,W2,D2,L1,V0,M1} I { aInteger0( skol2 ) }.
% 0.41/1.07 parent0: (127) {G0,W2,D2,L1,V0,M1} { aInteger0( skol2 ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 end
% 0.41/1.07 permutation0:
% 0.41/1.07 0 ==> 0
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 *** allocated 15000 integers for clauses
% 0.41/1.07 eqswap: (342) {G0,W8,D4,L1,V0,M1} { sdtpldt0( xa, smndt0( xb ) ) =
% 0.41/1.07 sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 parent0[0]: (128) {G0,W8,D4,L1,V0,M1} { sdtasdt0( xq, skol2 ) = sdtpldt0(
% 0.41/1.07 xa, smndt0( xb ) ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 subsumption: (42) {G0,W8,D4,L1,V0,M1} I { sdtpldt0( xa, smndt0( xb ) ) ==>
% 0.41/1.07 sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 parent0: (342) {G0,W8,D4,L1,V0,M1} { sdtpldt0( xa, smndt0( xb ) ) =
% 0.41/1.07 sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 end
% 0.41/1.07 permutation0:
% 0.41/1.07 0 ==> 0
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 *** allocated 22500 integers for clauses
% 0.41/1.07 paramod: (505) {G1,W9,D3,L2,V1,M2} { ! sdtasdt0( xq, X ) = sdtasdt0( xq,
% 0.41/1.07 skol2 ), ! aInteger0( X ) }.
% 0.41/1.07 parent0[0]: (42) {G0,W8,D4,L1,V0,M1} I { sdtpldt0( xa, smndt0( xb ) ) ==>
% 0.41/1.07 sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 parent1[1; 5]: (135) {G0,W10,D4,L2,V1,M2} { ! aInteger0( X ), ! sdtasdt0(
% 0.41/1.07 xq, X ) = sdtpldt0( xa, smndt0( xb ) ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 end
% 0.41/1.07 substitution1:
% 0.41/1.07 X := X
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 subsumption: (49) {G1,W9,D3,L2,V1,M2} I;d(42) { ! aInteger0( X ), !
% 0.41/1.07 sdtasdt0( xq, X ) = sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 parent0: (505) {G1,W9,D3,L2,V1,M2} { ! sdtasdt0( xq, X ) = sdtasdt0( xq,
% 0.41/1.07 skol2 ), ! aInteger0( X ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 X := X
% 0.41/1.07 end
% 0.41/1.07 permutation0:
% 0.41/1.07 0 ==> 1
% 0.41/1.07 1 ==> 0
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 eqswap: (507) {G1,W9,D3,L2,V1,M2} { ! sdtasdt0( xq, skol2 ) = sdtasdt0( xq
% 0.41/1.07 , X ), ! aInteger0( X ) }.
% 0.41/1.07 parent0[1]: (49) {G1,W9,D3,L2,V1,M2} I;d(42) { ! aInteger0( X ), ! sdtasdt0
% 0.41/1.07 ( xq, X ) = sdtasdt0( xq, skol2 ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 X := X
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 eqrefl: (508) {G0,W2,D2,L1,V0,M1} { ! aInteger0( skol2 ) }.
% 0.41/1.07 parent0[0]: (507) {G1,W9,D3,L2,V1,M2} { ! sdtasdt0( xq, skol2 ) = sdtasdt0
% 0.41/1.07 ( xq, X ), ! aInteger0( X ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 X := skol2
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 resolution: (509) {G1,W0,D0,L0,V0,M0} { }.
% 0.41/1.07 parent0[0]: (508) {G0,W2,D2,L1,V0,M1} { ! aInteger0( skol2 ) }.
% 0.41/1.07 parent1[0]: (41) {G0,W2,D2,L1,V0,M1} I { aInteger0( skol2 ) }.
% 0.41/1.07 substitution0:
% 0.41/1.07 end
% 0.41/1.07 substitution1:
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 subsumption: (84) {G2,W0,D0,L0,V0,M0} Q(49);r(41) { }.
% 0.41/1.07 parent0: (509) {G1,W0,D0,L0,V0,M0} { }.
% 0.41/1.07 substitution0:
% 0.41/1.07 end
% 0.41/1.07 permutation0:
% 0.41/1.07 end
% 0.41/1.07
% 0.41/1.07 Proof check complete!
% 0.41/1.07
% 0.41/1.07 Memory use:
% 0.41/1.07
% 0.41/1.07 space for terms: 2118
% 0.41/1.07 space for clauses: 5876
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 clauses generated: 114
% 0.41/1.07 clauses kept: 85
% 0.41/1.07 clauses selected: 0
% 0.41/1.07 clauses deleted: 0
% 0.41/1.07 clauses inuse deleted: 0
% 0.41/1.07
% 0.41/1.07 subsentry: 1676
% 0.41/1.07 literals s-matched: 677
% 0.41/1.07 literals matched: 551
% 0.41/1.07 full subsumption: 255
% 0.41/1.07
% 0.41/1.07 checksum: 2131788243
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 Bliksem ended
%------------------------------------------------------------------------------