TSTP Solution File: LCL654+1.001 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 : Sun Jul 17 07:55:51 EDT 2022
% Result : Theorem 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 3 06:13:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13
% 0.73/1.13 { r1( X, X ) }.
% 0.73/1.13 { alpha1( skol1 ) }.
% 0.73/1.13 { ! r1( skol1, X ), ! r1( X, Y ), alpha2( Y ), ! r1( Y, Z ), p1( Z ) }.
% 0.73/1.13 { ! r1( skol1, X ), alpha4( X ), ! r1( X, Y ), ! p1( skol7( Z ) ) }.
% 0.73/1.13 { ! r1( skol1, X ), alpha4( X ), ! r1( X, Y ), r1( Y, skol7( Y ) ) }.
% 0.73/1.13 { ! r1( skol1, X ), r1( X, skol11( X ) ) }.
% 0.73/1.13 { ! r1( skol1, X ), ! || }.
% 0.73/1.13 { r1( skol1, skol12 ) }.
% 0.73/1.13 { r1( skol12, skol13 ) }.
% 0.73/1.13 { r1( skol13, skol14 ) }.
% 0.73/1.13 { ! p1( skol14 ) }.
% 0.73/1.13 { ! r1( skol12, X ), p1( X ) }.
% 0.73/1.13 { ! alpha4( X ), ! r1( X, Y ), alpha5( Y ) }.
% 0.73/1.13 { ! alpha5( skol2( Y ) ), alpha4( X ) }.
% 0.73/1.13 { r1( X, skol2( X ) ), alpha4( X ) }.
% 0.73/1.13 { ! alpha5( X ), ! r1( skol3( Y ), Z ), p1( Z ) }.
% 0.73/1.13 { ! alpha5( X ), r1( X, skol3( X ) ) }.
% 0.73/1.13 { ! r1( X, Y ), ! p1( skol8( Z ) ), alpha5( X ) }.
% 0.73/1.13 { ! r1( X, Y ), r1( Y, skol8( Y ) ), alpha5( X ) }.
% 0.73/1.13 { ! alpha2( X ), ! r1( X, Y ), ! p1( skol4( Z ) ) }.
% 0.73/1.13 { ! alpha2( X ), ! r1( X, Y ), r1( Y, skol4( Y ) ) }.
% 0.73/1.13 { ! r1( skol9( Y ), Z ), p1( Z ), alpha2( X ) }.
% 0.73/1.13 { r1( X, skol9( X ) ), alpha2( X ) }.
% 0.73/1.13 { ! alpha1( X ), ! r1( X, Y ), alpha3( Y ), ! p1( Y ) }.
% 0.73/1.13 { ! alpha3( skol5( Y ) ), alpha1( X ) }.
% 0.73/1.13 { p1( skol5( Y ) ), alpha1( X ) }.
% 0.73/1.13 { r1( X, skol5( X ) ), alpha1( X ) }.
% 0.73/1.13 { ! alpha3( X ), ! r1( X, Y ), p1( skol6( Z ) ) }.
% 0.73/1.13 { ! alpha3( X ), ! r1( X, Y ), r1( Y, skol6( Y ) ) }.
% 0.73/1.13 { ! r1( skol10( Y ), Z ), ! p1( Z ), alpha3( X ) }.
% 0.73/1.13 { r1( X, skol10( X ) ), alpha3( X ) }.
% 0.73/1.13
% 0.73/1.13 percentage equality = 0.000000, percentage horn = 0.709677
% 0.73/1.13 This a non-horn, non-equality problem
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 0
% 0.73/1.13 useeqrefl = 0
% 0.73/1.13 useeqfact = 0
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 0
% 0.73/1.13 usesimpres = 3
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = standard
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = liftord
% 0.73/1.13
% 0.73/1.13 termordering = none
% 0.73/1.13
% 0.73/1.13 litapriori = 1
% 0.73/1.13 termapriori = 0
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = none
% 0.73/1.13
% 0.73/1.13 maxweight = 15
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 1
% 0.73/1.13 increasemaxweight = 1
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 0
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.73/1.13 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 r1 [36, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.13 p1 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.13 alpha1 [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.13 alpha2 [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.13 alpha3 [41, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.13 alpha4 [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.13 alpha5 [43, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.13 skol1 [44, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.73/1.13 skol2 [45, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.13 skol3 [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.13 skol4 [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.13 skol5 [49, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.13 skol6 [50, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.73/1.13 skol7 [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.73/1.13 skol8 [52, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.73/1.13 skol9 [53, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.73/1.13 skol10 [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.13 skol11 [57, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.13 skol12 [58, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.13 skol13 [59, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.13 skol14 [60, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13 *** allocated 15000 integers for clauses
% 0.73/1.13 *** allocated 22500 integers for clauses
% 0.73/1.13 *** allocated 33750 integers for clauses
% 0.73/1.13 *** allocated 50625 integers for clauses
% 0.73/1.13 *** allocated 15000 integers for termspace/termends
% 0.73/1.13 Resimplifying inuse:
% 0.73/1.13 Done
% 0.73/1.13
% 0.73/1.13 *** allocated 75937 integers for clauses
% 0.73/1.13 *** allocated 22500 integers for termspace/termends
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Theorem
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.73/1.13 (2) {G0,W13,D2,L5,V3,M3} I { alpha2( Y ), p1( Z ), ! r1( Y, Z ), ! r1( X, Y
% 0.73/1.13 ), ! r1( skol1, X ) }.
% 0.73/1.13 (3) {G0,W11,D3,L4,V3,M2} I { alpha4( X ), ! p1( skol7( Z ) ), ! r1( skol1,
% 0.73/1.13 X ), ! r1( X, Y ) }.
% 0.73/1.13 (4) {G0,W12,D3,L4,V2,M3} I { alpha4( X ), ! r1( X, Y ), r1( Y, skol7( Y ) )
% 0.73/1.13 , ! r1( skol1, X ) }.
% 0.73/1.13 (7) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol12 ) }.
% 0.73/1.13 (8) {G0,W3,D2,L1,V0,M1} I { r1( skol12, skol13 ) }.
% 0.73/1.13 (9) {G0,W3,D2,L1,V0,M1} I { r1( skol13, skol14 ) }.
% 0.73/1.13 (10) {G0,W2,D2,L1,V0,M1} I { ! p1( skol14 ) }.
% 0.73/1.13 (11) {G0,W5,D2,L2,V1,M1} I { p1( X ), ! r1( skol12, X ) }.
% 0.73/1.13 (12) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), alpha5( Y ), ! r1( X, Y ) }.
% 0.73/1.13 (15) {G0,W8,D3,L3,V3,M1} I { ! alpha5( X ), p1( Z ), ! r1( skol3( Y ), Z )
% 0.73/1.13 }.
% 0.73/1.13 (16) {G0,W6,D3,L2,V1,M1} I { ! alpha5( X ), r1( X, skol3( X ) ) }.
% 0.73/1.13 (19) {G0,W8,D3,L3,V3,M1} I { ! alpha2( X ), ! p1( skol4( Z ) ), ! r1( X, Y
% 0.73/1.13 ) }.
% 0.73/1.13 (20) {G0,W9,D3,L3,V2,M2} I { ! alpha2( X ), r1( Y, skol4( Y ) ), ! r1( X, Y
% 0.73/1.13 ) }.
% 0.73/1.13 (38) {G1,W7,D2,L3,V1,M1} R(2,8);r(7) { p1( X ), alpha2( skol13 ), ! r1(
% 0.73/1.13 skol13, X ) }.
% 0.73/1.13 (48) {G1,W5,D3,L2,V1,M1} R(3,8);r(7) { ! p1( skol7( X ) ), alpha4( skol12 )
% 0.73/1.13 }.
% 0.73/1.13 (55) {G1,W11,D3,L4,V1,M2} R(4,11) { alpha4( X ), p1( skol7( skol12 ) ), !
% 0.73/1.13 r1( X, skol12 ), ! r1( skol1, X ) }.
% 0.73/1.13 (104) {G1,W4,D2,L2,V0,M1} R(12,8) { ! alpha4( skol12 ), alpha5( skol13 )
% 0.73/1.13 }.
% 0.73/1.13 (193) {G1,W5,D3,L2,V2,M1} R(19,0) { ! p1( skol4( Y ) ), ! alpha2( X ) }.
% 0.73/1.13 (201) {G1,W10,D4,L3,V1,M1} R(20,16) { ! alpha2( X ), ! alpha5( X ), r1(
% 0.73/1.13 skol3( X ), skol4( skol3( X ) ) ) }.
% 0.73/1.13 (439) {G2,W2,D2,L1,V0,M1} R(38,9);r(10) { alpha2( skol13 ) }.
% 0.73/1.13 (440) {G3,W3,D3,L1,V1,M1} R(439,193) { ! p1( skol4( X ) ) }.
% 0.73/1.13 (594) {G2,W5,D2,L2,V0,M1} R(55,7);r(48) { alpha4( skol12 ), ! r1( skol12,
% 0.73/1.13 skol12 ) }.
% 0.73/1.13 (596) {G3,W2,D2,L1,V0,M1} S(594);r(0) { alpha4( skol12 ) }.
% 0.73/1.13 (1006) {G4,W2,D2,L1,V0,M1} S(104);r(596) { alpha5( skol13 ) }.
% 0.73/1.13 (1451) {G4,W6,D2,L3,V2,M2} R(201,15);r(440) { ! alpha2( X ), ! alpha5( Y )
% 0.73/1.13 , ! alpha5( X ) }.
% 0.73/1.13 (1452) {G5,W4,D2,L2,V1,M1} F(1451) { ! alpha2( X ), ! alpha5( X ) }.
% 0.73/1.13 (1463) {G6,W0,D0,L0,V0,M0} R(1452,1006);r(439) { }.
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Unprocessed initial clauses:
% 0.73/1.13
% 0.73/1.13 (1465) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.73/1.13 (1466) {G0,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.73/1.13 (1467) {G0,W13,D2,L5,V3,M5} { ! r1( skol1, X ), ! r1( X, Y ), alpha2( Y )
% 0.73/1.13 , ! r1( Y, Z ), p1( Z ) }.
% 0.73/1.13 (1468) {G0,W11,D3,L4,V3,M4} { ! r1( skol1, X ), alpha4( X ), ! r1( X, Y )
% 0.73/1.13 , ! p1( skol7( Z ) ) }.
% 0.73/1.13 (1469) {G0,W12,D3,L4,V2,M4} { ! r1( skol1, X ), alpha4( X ), ! r1( X, Y )
% 0.73/1.13 , r1( Y, skol7( Y ) ) }.
% 0.73/1.13 (1470) {G0,W7,D3,L2,V1,M2} { ! r1( skol1, X ), r1( X, skol11( X ) ) }.
% 0.73/1.13 (1471) {G0,W4,D2,L2,V1,M2} { ! r1( skol1, X ), ! || }.
% 0.73/1.13 (1472) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol12 ) }.
% 0.73/1.13 (1473) {G0,W3,D2,L1,V0,M1} { r1( skol12, skol13 ) }.
% 0.73/1.13 (1474) {G0,W3,D2,L1,V0,M1} { r1( skol13, skol14 ) }.
% 0.73/1.13 (1475) {G0,W2,D2,L1,V0,M1} { ! p1( skol14 ) }.
% 0.73/1.13 (1476) {G0,W5,D2,L2,V1,M2} { ! r1( skol12, X ), p1( X ) }.
% 0.73/1.13 (1477) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! r1( X, Y ), alpha5( Y ) }.
% 0.73/1.13 (1478) {G0,W5,D3,L2,V2,M2} { ! alpha5( skol2( Y ) ), alpha4( X ) }.
% 0.73/1.13 (1479) {G0,W6,D3,L2,V1,M2} { r1( X, skol2( X ) ), alpha4( X ) }.
% 0.73/1.13 (1480) {G0,W8,D3,L3,V3,M3} { ! alpha5( X ), ! r1( skol3( Y ), Z ), p1( Z )
% 0.73/1.13 }.
% 0.73/1.13 (1481) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), r1( X, skol3( X ) ) }.
% 0.73/1.13 (1482) {G0,W8,D3,L3,V3,M3} { ! r1( X, Y ), ! p1( skol8( Z ) ), alpha5( X )
% 0.73/1.13 }.
% 0.73/1.13 (1483) {G0,W9,D3,L3,V2,M3} { ! r1( X, Y ), r1( Y, skol8( Y ) ), alpha5( X
% 0.73/1.13 ) }.
% 0.73/1.13 (1484) {G0,W8,D3,L3,V3,M3} { ! alpha2( X ), ! r1( X, Y ), ! p1( skol4( Z )
% 0.73/1.13 ) }.
% 0.73/1.13 (1485) {G0,W9,D3,L3,V2,M3} { ! alpha2( X ), ! r1( X, Y ), r1( Y, skol4( Y
% 0.73/1.13 ) ) }.
% 0.73/1.13 (1486) {G0,W8,D3,L3,V3,M3} { ! r1( skol9( Y ), Z ), p1( Z ), alpha2( X )
% 0.73/1.13 }.
% 0.73/1.13 (1487) {G0,W6,D3,L2,V1,M2} { r1( X, skol9( X ) ), alpha2( X ) }.
% 0.73/1.13 (1488) {G0,W9,D2,L4,V2,M4} { ! alpha1( X ), ! r1( X, Y ), alpha3( Y ), !
% 0.73/1.13 p1( Y ) }.
% 0.73/1.13 (1489) {G0,W5,D3,L2,V2,M2} { ! alpha3( skol5( Y ) ), alpha1( X ) }.
% 0.73/1.13 (1490) {G0,W5,D3,L2,V2,M2} { p1( skol5( Y ) ), alpha1( X ) }.
% 0.73/1.13 (1491) {G0,W6,D3,L2,V1,M2} { r1( X, skol5( X ) ), alpha1( X ) }.
% 0.73/1.13 (1492) {G0,W8,D3,L3,V3,M3} { ! alpha3( X ), ! r1( X, Y ), p1( skol6( Z ) )
% 0.73/1.13 }.
% 0.73/1.13 (1493) {G0,W9,D3,L3,V2,M3} { ! alpha3( X ), ! r1( X, Y ), r1( Y, skol6( Y
% 0.73/1.13 ) ) }.
% 0.73/1.13 (1494) {G0,W8,D3,L3,V3,M3} { ! r1( skol10( Y ), Z ), ! p1( Z ), alpha3( X
% 0.73/1.13 ) }.
% 0.73/1.13 (1495) {G0,W6,D3,L2,V1,M2} { r1( X, skol10( X ) ), alpha3( X ) }.
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Total Proof:
% 0.73/1.13
% 0.73/1.13 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.73/1.13 parent0: (1465) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (2) {G0,W13,D2,L5,V3,M3} I { alpha2( Y ), p1( Z ), ! r1( Y, Z
% 0.73/1.13 ), ! r1( X, Y ), ! r1( skol1, X ) }.
% 0.73/1.13 parent0: (1467) {G0,W13,D2,L5,V3,M5} { ! r1( skol1, X ), ! r1( X, Y ),
% 0.73/1.13 alpha2( Y ), ! r1( Y, Z ), p1( Z ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 Z := Z
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 4
% 0.73/1.13 1 ==> 3
% 0.73/1.13 2 ==> 0
% 0.73/1.13 3 ==> 2
% 0.73/1.13 4 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (3) {G0,W11,D3,L4,V3,M2} I { alpha4( X ), ! p1( skol7( Z ) ),
% 0.73/1.13 ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.73/1.13 parent0: (1468) {G0,W11,D3,L4,V3,M4} { ! r1( skol1, X ), alpha4( X ), ! r1
% 0.73/1.13 ( X, Y ), ! p1( skol7( Z ) ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 Z := Z
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 2
% 0.73/1.13 1 ==> 0
% 0.73/1.13 2 ==> 3
% 0.73/1.13 3 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (4) {G0,W12,D3,L4,V2,M3} I { alpha4( X ), ! r1( X, Y ), r1( Y
% 0.73/1.13 , skol7( Y ) ), ! r1( skol1, X ) }.
% 0.73/1.13 parent0: (1469) {G0,W12,D3,L4,V2,M4} { ! r1( skol1, X ), alpha4( X ), ! r1
% 0.73/1.13 ( X, Y ), r1( Y, skol7( Y ) ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 3
% 0.73/1.13 1 ==> 0
% 0.73/1.13 2 ==> 1
% 0.73/1.13 3 ==> 2
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (7) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol12 ) }.
% 0.73/1.13 parent0: (1472) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (8) {G0,W3,D2,L1,V0,M1} I { r1( skol12, skol13 ) }.
% 0.73/1.13 parent0: (1473) {G0,W3,D2,L1,V0,M1} { r1( skol12, skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (9) {G0,W3,D2,L1,V0,M1} I { r1( skol13, skol14 ) }.
% 0.73/1.13 parent0: (1474) {G0,W3,D2,L1,V0,M1} { r1( skol13, skol14 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (10) {G0,W2,D2,L1,V0,M1} I { ! p1( skol14 ) }.
% 0.73/1.13 parent0: (1475) {G0,W2,D2,L1,V0,M1} { ! p1( skol14 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (11) {G0,W5,D2,L2,V1,M1} I { p1( X ), ! r1( skol12, X ) }.
% 0.73/1.13 parent0: (1476) {G0,W5,D2,L2,V1,M2} { ! r1( skol12, X ), p1( X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 1
% 0.73/1.13 1 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (12) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), alpha5( Y ), ! r1
% 0.73/1.13 ( X, Y ) }.
% 0.73/1.13 parent0: (1477) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! r1( X, Y ), alpha5
% 0.73/1.13 ( Y ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 2
% 0.73/1.13 2 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (15) {G0,W8,D3,L3,V3,M1} I { ! alpha5( X ), p1( Z ), ! r1(
% 0.73/1.13 skol3( Y ), Z ) }.
% 0.73/1.13 parent0: (1480) {G0,W8,D3,L3,V3,M3} { ! alpha5( X ), ! r1( skol3( Y ), Z )
% 0.73/1.13 , p1( Z ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 Z := Z
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 2
% 0.73/1.13 2 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (16) {G0,W6,D3,L2,V1,M1} I { ! alpha5( X ), r1( X, skol3( X )
% 0.73/1.13 ) }.
% 0.73/1.13 parent0: (1481) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), r1( X, skol3( X ) )
% 0.73/1.13 }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (19) {G0,W8,D3,L3,V3,M1} I { ! alpha2( X ), ! p1( skol4( Z ) )
% 0.73/1.13 , ! r1( X, Y ) }.
% 0.73/1.13 parent0: (1484) {G0,W8,D3,L3,V3,M3} { ! alpha2( X ), ! r1( X, Y ), ! p1(
% 0.73/1.13 skol4( Z ) ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 Z := Z
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 2
% 0.73/1.13 2 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (20) {G0,W9,D3,L3,V2,M2} I { ! alpha2( X ), r1( Y, skol4( Y )
% 0.73/1.13 ), ! r1( X, Y ) }.
% 0.73/1.13 parent0: (1485) {G0,W9,D3,L3,V2,M3} { ! alpha2( X ), ! r1( X, Y ), r1( Y,
% 0.73/1.13 skol4( Y ) ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 2
% 0.73/1.13 2 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1572) {G1,W10,D2,L4,V1,M4} { alpha2( skol13 ), p1( X ), ! r1
% 0.73/1.13 ( skol13, X ), ! r1( skol1, skol12 ) }.
% 0.73/1.13 parent0[3]: (2) {G0,W13,D2,L5,V3,M3} I { alpha2( Y ), p1( Z ), ! r1( Y, Z )
% 0.73/1.13 , ! r1( X, Y ), ! r1( skol1, X ) }.
% 0.73/1.13 parent1[0]: (8) {G0,W3,D2,L1,V0,M1} I { r1( skol12, skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol12
% 0.73/1.13 Y := skol13
% 0.73/1.13 Z := X
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1573) {G1,W7,D2,L3,V1,M3} { alpha2( skol13 ), p1( X ), ! r1(
% 0.73/1.13 skol13, X ) }.
% 0.73/1.13 parent0[3]: (1572) {G1,W10,D2,L4,V1,M4} { alpha2( skol13 ), p1( X ), ! r1
% 0.73/1.13 ( skol13, X ), ! r1( skol1, skol12 ) }.
% 0.73/1.13 parent1[0]: (7) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (38) {G1,W7,D2,L3,V1,M1} R(2,8);r(7) { p1( X ), alpha2( skol13
% 0.73/1.13 ), ! r1( skol13, X ) }.
% 0.73/1.13 parent0: (1573) {G1,W7,D2,L3,V1,M3} { alpha2( skol13 ), p1( X ), ! r1(
% 0.73/1.13 skol13, X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 1
% 0.73/1.13 1 ==> 0
% 0.73/1.13 2 ==> 2
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1574) {G1,W8,D3,L3,V1,M3} { alpha4( skol12 ), ! p1( skol7( X
% 0.73/1.13 ) ), ! r1( skol1, skol12 ) }.
% 0.73/1.13 parent0[3]: (3) {G0,W11,D3,L4,V3,M2} I { alpha4( X ), ! p1( skol7( Z ) ), !
% 0.73/1.13 r1( skol1, X ), ! r1( X, Y ) }.
% 0.73/1.13 parent1[0]: (8) {G0,W3,D2,L1,V0,M1} I { r1( skol12, skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol12
% 0.73/1.13 Y := skol13
% 0.73/1.13 Z := X
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1575) {G1,W5,D3,L2,V1,M2} { alpha4( skol12 ), ! p1( skol7( X
% 0.73/1.13 ) ) }.
% 0.73/1.13 parent0[2]: (1574) {G1,W8,D3,L3,V1,M3} { alpha4( skol12 ), ! p1( skol7( X
% 0.73/1.13 ) ), ! r1( skol1, skol12 ) }.
% 0.73/1.13 parent1[0]: (7) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (48) {G1,W5,D3,L2,V1,M1} R(3,8);r(7) { ! p1( skol7( X ) ),
% 0.73/1.13 alpha4( skol12 ) }.
% 0.73/1.13 parent0: (1575) {G1,W5,D3,L2,V1,M2} { alpha4( skol12 ), ! p1( skol7( X ) )
% 0.73/1.13 }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 1
% 0.73/1.13 1 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1576) {G1,W11,D3,L4,V1,M4} { p1( skol7( skol12 ) ), alpha4( X
% 0.73/1.13 ), ! r1( X, skol12 ), ! r1( skol1, X ) }.
% 0.73/1.13 parent0[1]: (11) {G0,W5,D2,L2,V1,M1} I { p1( X ), ! r1( skol12, X ) }.
% 0.73/1.13 parent1[2]: (4) {G0,W12,D3,L4,V2,M3} I { alpha4( X ), ! r1( X, Y ), r1( Y,
% 0.73/1.13 skol7( Y ) ), ! r1( skol1, X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol7( skol12 )
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 X := X
% 0.73/1.13 Y := skol12
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (55) {G1,W11,D3,L4,V1,M2} R(4,11) { alpha4( X ), p1( skol7(
% 0.73/1.13 skol12 ) ), ! r1( X, skol12 ), ! r1( skol1, X ) }.
% 0.73/1.13 parent0: (1576) {G1,W11,D3,L4,V1,M4} { p1( skol7( skol12 ) ), alpha4( X )
% 0.73/1.13 , ! r1( X, skol12 ), ! r1( skol1, X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 1
% 0.73/1.13 1 ==> 0
% 0.73/1.13 2 ==> 2
% 0.73/1.13 3 ==> 3
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1577) {G1,W4,D2,L2,V0,M2} { ! alpha4( skol12 ), alpha5(
% 0.73/1.13 skol13 ) }.
% 0.73/1.13 parent0[2]: (12) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), alpha5( Y ), ! r1(
% 0.73/1.13 X, Y ) }.
% 0.73/1.13 parent1[0]: (8) {G0,W3,D2,L1,V0,M1} I { r1( skol12, skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol12
% 0.73/1.13 Y := skol13
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (104) {G1,W4,D2,L2,V0,M1} R(12,8) { ! alpha4( skol12 ), alpha5
% 0.73/1.13 ( skol13 ) }.
% 0.73/1.13 parent0: (1577) {G1,W4,D2,L2,V0,M2} { ! alpha4( skol12 ), alpha5( skol13 )
% 0.73/1.13 }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1578) {G1,W5,D3,L2,V2,M2} { ! alpha2( X ), ! p1( skol4( Y ) )
% 0.73/1.13 }.
% 0.73/1.13 parent0[2]: (19) {G0,W8,D3,L3,V3,M1} I { ! alpha2( X ), ! p1( skol4( Z ) )
% 0.73/1.13 , ! r1( X, Y ) }.
% 0.73/1.13 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := X
% 0.73/1.13 Z := Y
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (193) {G1,W5,D3,L2,V2,M1} R(19,0) { ! p1( skol4( Y ) ), !
% 0.73/1.13 alpha2( X ) }.
% 0.73/1.13 parent0: (1578) {G1,W5,D3,L2,V2,M2} { ! alpha2( X ), ! p1( skol4( Y ) )
% 0.73/1.13 }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 1
% 0.73/1.13 1 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1579) {G1,W10,D4,L3,V1,M3} { ! alpha2( X ), r1( skol3( X ),
% 0.73/1.13 skol4( skol3( X ) ) ), ! alpha5( X ) }.
% 0.73/1.13 parent0[2]: (20) {G0,W9,D3,L3,V2,M2} I { ! alpha2( X ), r1( Y, skol4( Y ) )
% 0.73/1.13 , ! r1( X, Y ) }.
% 0.73/1.13 parent1[1]: (16) {G0,W6,D3,L2,V1,M1} I { ! alpha5( X ), r1( X, skol3( X ) )
% 0.73/1.13 }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := skol3( X )
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (201) {G1,W10,D4,L3,V1,M1} R(20,16) { ! alpha2( X ), ! alpha5
% 0.73/1.13 ( X ), r1( skol3( X ), skol4( skol3( X ) ) ) }.
% 0.73/1.13 parent0: (1579) {G1,W10,D4,L3,V1,M3} { ! alpha2( X ), r1( skol3( X ),
% 0.73/1.13 skol4( skol3( X ) ) ), ! alpha5( X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 2
% 0.73/1.13 2 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1580) {G1,W4,D2,L2,V0,M2} { p1( skol14 ), alpha2( skol13 )
% 0.73/1.13 }.
% 0.73/1.13 parent0[2]: (38) {G1,W7,D2,L3,V1,M1} R(2,8);r(7) { p1( X ), alpha2( skol13
% 0.73/1.13 ), ! r1( skol13, X ) }.
% 0.73/1.13 parent1[0]: (9) {G0,W3,D2,L1,V0,M1} I { r1( skol13, skol14 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol14
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1581) {G1,W2,D2,L1,V0,M1} { alpha2( skol13 ) }.
% 0.73/1.13 parent0[0]: (10) {G0,W2,D2,L1,V0,M1} I { ! p1( skol14 ) }.
% 0.73/1.13 parent1[0]: (1580) {G1,W4,D2,L2,V0,M2} { p1( skol14 ), alpha2( skol13 )
% 0.73/1.13 }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (439) {G2,W2,D2,L1,V0,M1} R(38,9);r(10) { alpha2( skol13 ) }.
% 0.73/1.13 parent0: (1581) {G1,W2,D2,L1,V0,M1} { alpha2( skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1582) {G2,W3,D3,L1,V1,M1} { ! p1( skol4( X ) ) }.
% 0.73/1.13 parent0[1]: (193) {G1,W5,D3,L2,V2,M1} R(19,0) { ! p1( skol4( Y ) ), !
% 0.73/1.13 alpha2( X ) }.
% 0.73/1.13 parent1[0]: (439) {G2,W2,D2,L1,V0,M1} R(38,9);r(10) { alpha2( skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol13
% 0.73/1.13 Y := X
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (440) {G3,W3,D3,L1,V1,M1} R(439,193) { ! p1( skol4( X ) ) }.
% 0.73/1.13 parent0: (1582) {G2,W3,D3,L1,V1,M1} { ! p1( skol4( X ) ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1584) {G1,W8,D3,L3,V0,M3} { alpha4( skol12 ), p1( skol7(
% 0.73/1.13 skol12 ) ), ! r1( skol12, skol12 ) }.
% 0.73/1.13 parent0[3]: (55) {G1,W11,D3,L4,V1,M2} R(4,11) { alpha4( X ), p1( skol7(
% 0.73/1.13 skol12 ) ), ! r1( X, skol12 ), ! r1( skol1, X ) }.
% 0.73/1.13 parent1[0]: (7) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol12
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1586) {G2,W7,D2,L3,V0,M3} { alpha4( skol12 ), alpha4( skol12
% 0.73/1.13 ), ! r1( skol12, skol12 ) }.
% 0.73/1.13 parent0[0]: (48) {G1,W5,D3,L2,V1,M1} R(3,8);r(7) { ! p1( skol7( X ) ),
% 0.73/1.13 alpha4( skol12 ) }.
% 0.73/1.13 parent1[1]: (1584) {G1,W8,D3,L3,V0,M3} { alpha4( skol12 ), p1( skol7(
% 0.73/1.13 skol12 ) ), ! r1( skol12, skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol12
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 factor: (1587) {G2,W5,D2,L2,V0,M2} { alpha4( skol12 ), ! r1( skol12,
% 0.73/1.13 skol12 ) }.
% 0.73/1.13 parent0[0, 1]: (1586) {G2,W7,D2,L3,V0,M3} { alpha4( skol12 ), alpha4(
% 0.73/1.13 skol12 ), ! r1( skol12, skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (594) {G2,W5,D2,L2,V0,M1} R(55,7);r(48) { alpha4( skol12 ), !
% 0.73/1.13 r1( skol12, skol12 ) }.
% 0.73/1.13 parent0: (1587) {G2,W5,D2,L2,V0,M2} { alpha4( skol12 ), ! r1( skol12,
% 0.73/1.13 skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1588) {G1,W2,D2,L1,V0,M1} { alpha4( skol12 ) }.
% 0.73/1.13 parent0[1]: (594) {G2,W5,D2,L2,V0,M1} R(55,7);r(48) { alpha4( skol12 ), !
% 0.73/1.13 r1( skol12, skol12 ) }.
% 0.73/1.13 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 X := skol12
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (596) {G3,W2,D2,L1,V0,M1} S(594);r(0) { alpha4( skol12 ) }.
% 0.73/1.13 parent0: (1588) {G1,W2,D2,L1,V0,M1} { alpha4( skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1589) {G2,W2,D2,L1,V0,M1} { alpha5( skol13 ) }.
% 0.73/1.13 parent0[0]: (104) {G1,W4,D2,L2,V0,M1} R(12,8) { ! alpha4( skol12 ), alpha5
% 0.73/1.13 ( skol13 ) }.
% 0.73/1.13 parent1[0]: (596) {G3,W2,D2,L1,V0,M1} S(594);r(0) { alpha4( skol12 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (1006) {G4,W2,D2,L1,V0,M1} S(104);r(596) { alpha5( skol13 )
% 0.73/1.13 }.
% 0.73/1.13 parent0: (1589) {G2,W2,D2,L1,V0,M1} { alpha5( skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1590) {G1,W10,D4,L4,V2,M4} { ! alpha5( X ), p1( skol4( skol3
% 0.73/1.13 ( Y ) ) ), ! alpha2( Y ), ! alpha5( Y ) }.
% 0.73/1.13 parent0[2]: (15) {G0,W8,D3,L3,V3,M1} I { ! alpha5( X ), p1( Z ), ! r1(
% 0.73/1.13 skol3( Y ), Z ) }.
% 0.73/1.13 parent1[2]: (201) {G1,W10,D4,L3,V1,M1} R(20,16) { ! alpha2( X ), ! alpha5(
% 0.73/1.13 X ), r1( skol3( X ), skol4( skol3( X ) ) ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 Z := skol4( skol3( Y ) )
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 X := Y
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1593) {G2,W6,D2,L3,V2,M3} { ! alpha5( Y ), ! alpha2( X ), !
% 0.73/1.13 alpha5( X ) }.
% 0.73/1.13 parent0[0]: (440) {G3,W3,D3,L1,V1,M1} R(439,193) { ! p1( skol4( X ) ) }.
% 0.73/1.13 parent1[1]: (1590) {G1,W10,D4,L4,V2,M4} { ! alpha5( X ), p1( skol4( skol3
% 0.73/1.13 ( Y ) ) ), ! alpha2( Y ), ! alpha5( Y ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol3( X )
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 X := Y
% 0.73/1.13 Y := X
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (1451) {G4,W6,D2,L3,V2,M2} R(201,15);r(440) { ! alpha2( X ), !
% 0.73/1.13 alpha5( Y ), ! alpha5( X ) }.
% 0.73/1.13 parent0: (1593) {G2,W6,D2,L3,V2,M3} { ! alpha5( Y ), ! alpha2( X ), !
% 0.73/1.13 alpha5( X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := Y
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 1
% 0.73/1.13 1 ==> 0
% 0.73/1.13 2 ==> 2
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 factor: (1595) {G4,W4,D2,L2,V1,M2} { ! alpha2( X ), ! alpha5( X ) }.
% 0.73/1.13 parent0[1, 2]: (1451) {G4,W6,D2,L3,V2,M2} R(201,15);r(440) { ! alpha2( X )
% 0.73/1.13 , ! alpha5( Y ), ! alpha5( X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 Y := X
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (1452) {G5,W4,D2,L2,V1,M1} F(1451) { ! alpha2( X ), ! alpha5(
% 0.73/1.13 X ) }.
% 0.73/1.13 parent0: (1595) {G4,W4,D2,L2,V1,M2} { ! alpha2( X ), ! alpha5( X ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := X
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 0 ==> 0
% 0.73/1.13 1 ==> 1
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1596) {G5,W2,D2,L1,V0,M1} { ! alpha2( skol13 ) }.
% 0.73/1.13 parent0[1]: (1452) {G5,W4,D2,L2,V1,M1} F(1451) { ! alpha2( X ), ! alpha5( X
% 0.73/1.13 ) }.
% 0.73/1.13 parent1[0]: (1006) {G4,W2,D2,L1,V0,M1} S(104);r(596) { alpha5( skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 X := skol13
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 resolution: (1597) {G3,W0,D0,L0,V0,M0} { }.
% 0.73/1.13 parent0[0]: (1596) {G5,W2,D2,L1,V0,M1} { ! alpha2( skol13 ) }.
% 0.73/1.13 parent1[0]: (439) {G2,W2,D2,L1,V0,M1} R(38,9);r(10) { alpha2( skol13 ) }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 substitution1:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 subsumption: (1463) {G6,W0,D0,L0,V0,M0} R(1452,1006);r(439) { }.
% 0.73/1.13 parent0: (1597) {G3,W0,D0,L0,V0,M0} { }.
% 0.73/1.13 substitution0:
% 0.73/1.13 end
% 0.73/1.13 permutation0:
% 0.73/1.13 end
% 0.73/1.13
% 0.73/1.13 Proof check complete!
% 0.73/1.13
% 0.73/1.13 Memory use:
% 0.73/1.13
% 0.73/1.13 space for terms: 17901
% 0.73/1.13 space for clauses: 70033
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 clauses generated: 5793
% 0.73/1.13 clauses kept: 1464
% 0.73/1.13 clauses selected: 430
% 0.73/1.13 clauses deleted: 240
% 0.73/1.13 clauses inuse deleted: 68
% 0.73/1.13
% 0.73/1.13 subsentry: 6022
% 0.73/1.13 literals s-matched: 5149
% 0.73/1.13 literals matched: 5149
% 0.73/1.13 full subsumption: 815
% 0.73/1.13
% 0.73/1.13 checksum: 2015304163
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksem ended
%------------------------------------------------------------------------------