TSTP Solution File: LCL638+1.001 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:55:14 EDT 2022
% Result : Theorem 0.43s 1.08s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jul 3 09:45:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08
% 0.43/1.08 { alpha2( skol1 ) }.
% 0.43/1.08 { ! r1( skol1, X ), alpha4( X ), alpha6( X ) }.
% 0.43/1.08 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), p1( Z ), ! p1( skol9( T ) )
% 0.43/1.08 }.
% 0.43/1.08 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), p1( Z ), r1( X, skol9( X )
% 0.43/1.08 ) }.
% 0.43/1.08 { ! r1( skol1, X ), r1( X, skol14( X ) ) }.
% 0.43/1.08 { ! r1( skol1, X ), ! || }.
% 0.43/1.08 { r1( skol1, skol15 ) }.
% 0.43/1.08 { ! p1( skol15 ) }.
% 0.43/1.08 { ! r1( skol15, X ), p1( X ) }.
% 0.43/1.08 { ! alpha6( X ), ! r1( skol2( Y ), Z ), ! p1( Z ) }.
% 0.43/1.08 { ! alpha6( X ), r1( X, skol2( X ) ) }.
% 0.43/1.08 { ! r1( X, Y ), p1( skol10( Z ) ), alpha6( X ) }.
% 0.43/1.08 { ! r1( X, Y ), r1( Y, skol10( Y ) ), alpha6( X ) }.
% 0.43/1.08 { ! alpha4( X ), ! r1( X, Y ), alpha7( Y ) }.
% 0.43/1.08 { ! alpha7( skol3( Y ) ), alpha4( X ) }.
% 0.43/1.08 { r1( X, skol3( X ) ), alpha4( X ) }.
% 0.43/1.08 { ! alpha7( X ), ! r1( X, Y ), p1( skol4( Z ) ) }.
% 0.43/1.08 { ! alpha7( X ), ! r1( X, Y ), r1( Y, skol4( Y ) ) }.
% 0.43/1.08 { ! r1( skol11( Y ), Z ), ! p1( Z ), alpha7( X ) }.
% 0.43/1.08 { r1( X, skol11( X ) ), alpha7( X ) }.
% 0.43/1.08 { ! alpha2( X ), alpha1( X ) }.
% 0.43/1.08 { ! alpha2( X ), alpha5( X ) }.
% 0.43/1.08 { ! alpha1( X ), ! alpha5( X ), alpha2( X ) }.
% 0.43/1.08 { ! alpha5( X ), ! r1( X, Y ), alpha8( Y ), ! p1( Y ) }.
% 0.43/1.08 { ! alpha8( skol5( Y ) ), alpha5( X ) }.
% 0.43/1.08 { p1( skol5( Y ) ), alpha5( X ) }.
% 0.43/1.08 { r1( X, skol5( X ) ), alpha5( X ) }.
% 0.43/1.08 { ! alpha8( X ), ! r1( X, Y ), p1( skol6( Z ) ) }.
% 0.43/1.08 { ! alpha8( X ), ! r1( X, Y ), r1( Y, skol6( Y ) ) }.
% 0.43/1.08 { ! r1( skol12( Y ), Z ), ! p1( Z ), alpha8( X ) }.
% 0.43/1.08 { r1( X, skol12( X ) ), alpha8( X ) }.
% 0.43/1.08 { ! alpha1( X ), ! r1( X, Y ), alpha3( Y ), p1( Y ) }.
% 0.43/1.08 { ! alpha3( skol7( Y ) ), alpha1( X ) }.
% 0.43/1.08 { ! p1( skol7( Y ) ), alpha1( X ) }.
% 0.43/1.08 { r1( X, skol7( X ) ), alpha1( X ) }.
% 0.43/1.08 { ! alpha3( X ), ! r1( X, Y ), ! p1( skol8( Z ) ) }.
% 0.43/1.08 { ! alpha3( X ), ! r1( X, Y ), r1( Y, skol8( Y ) ) }.
% 0.43/1.08 { ! r1( skol13( Y ), Z ), p1( Z ), alpha3( X ) }.
% 0.43/1.08 { r1( X, skol13( X ) ), alpha3( X ) }.
% 0.43/1.08
% 0.43/1.08 percentage equality = 0.000000, percentage horn = 0.666667
% 0.43/1.08 This a non-horn, non-equality problem
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Options Used:
% 0.43/1.08
% 0.43/1.08 useres = 1
% 0.43/1.08 useparamod = 0
% 0.43/1.08 useeqrefl = 0
% 0.43/1.08 useeqfact = 0
% 0.43/1.08 usefactor = 1
% 0.43/1.08 usesimpsplitting = 0
% 0.43/1.08 usesimpdemod = 0
% 0.43/1.08 usesimpres = 3
% 0.43/1.08
% 0.43/1.08 resimpinuse = 1000
% 0.43/1.08 resimpclauses = 20000
% 0.43/1.08 substype = standard
% 0.43/1.08 backwardsubs = 1
% 0.43/1.08 selectoldest = 5
% 0.43/1.08
% 0.43/1.08 litorderings [0] = split
% 0.43/1.08 litorderings [1] = liftord
% 0.43/1.08
% 0.43/1.08 termordering = none
% 0.43/1.08
% 0.43/1.08 litapriori = 1
% 0.43/1.08 termapriori = 0
% 0.43/1.08 litaposteriori = 0
% 0.43/1.08 termaposteriori = 0
% 0.43/1.08 demodaposteriori = 0
% 0.43/1.08 ordereqreflfact = 0
% 0.43/1.08
% 0.43/1.08 litselect = none
% 0.43/1.08
% 0.43/1.08 maxweight = 15
% 0.43/1.08 maxdepth = 30000
% 0.43/1.08 maxlength = 115
% 0.43/1.08 maxnrvars = 195
% 0.43/1.08 excuselevel = 1
% 0.43/1.08 increasemaxweight = 1
% 0.43/1.08
% 0.43/1.08 maxselected = 10000000
% 0.43/1.08 maxnrclauses = 10000000
% 0.43/1.08
% 0.43/1.08 showgenerated = 0
% 0.43/1.08 showkept = 0
% 0.43/1.08 showselected = 0
% 0.43/1.08 showdeleted = 0
% 0.43/1.08 showresimp = 1
% 0.43/1.08 showstatus = 2000
% 0.43/1.08
% 0.43/1.08 prologoutput = 0
% 0.43/1.08 nrgoals = 5000000
% 0.43/1.08 totalproof = 1
% 0.43/1.08
% 0.43/1.08 Symbols occurring in the translation:
% 0.43/1.08
% 0.43/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.08 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.43/1.08 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 0.43/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.43/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 r1 [37, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.43/1.08 p1 [38, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.08 alpha1 [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.08 alpha2 [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.08 alpha3 [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.08 alpha4 [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.08 alpha5 [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.43/1.08 alpha6 [44, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.08 alpha7 [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.08 alpha8 [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.08 skol1 [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.43/1.08 skol2 [48, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.43/1.08 skol3 [50, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.43/1.08 skol4 [51, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.43/1.08 skol5 [52, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.43/1.08 skol6 [53, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.43/1.08 skol7 [54, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.43/1.08 skol8 [55, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.43/1.08 skol9 [56, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.43/1.08 skol10 [57, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.08 skol11 [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.08 skol12 [60, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.43/1.08 skol13 [62, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.43/1.08 skol14 [64, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.43/1.08 skol15 [65, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Starting Search:
% 0.43/1.08
% 0.43/1.08 *** allocated 15000 integers for clauses
% 0.43/1.08 *** allocated 22500 integers for clauses
% 0.43/1.08 *** allocated 33750 integers for clauses
% 0.43/1.08
% 0.43/1.08 Bliksems!, er is een bewijs:
% 0.43/1.08 % SZS status Theorem
% 0.43/1.08 % SZS output start Refutation
% 0.43/1.08
% 0.43/1.08 (0) {G0,W2,D2,L1,V0,M1} I { alpha2( skol1 ) }.
% 0.43/1.08 (2) {G0,W14,D3,L5,V4,M3} I { p1( Z ), ! p1( skol9( T ) ), ! r1( skol1, X )
% 0.43/1.08 , ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.43/1.08 (3) {G0,W15,D3,L5,V3,M4} I { p1( Z ), ! r1( Y, Z ), ! r1( skol1, X ), r1( X
% 0.43/1.08 , skol9( X ) ), ! r1( X, Y ) }.
% 0.43/1.08 (4) {G0,W7,D3,L2,V1,M2} I { r1( X, skol14( X ) ), ! r1( skol1, X ) }.
% 0.43/1.08 (6) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol15 ) }.
% 0.43/1.08 (7) {G0,W2,D2,L1,V0,M1} I { ! p1( skol15 ) }.
% 0.43/1.08 (8) {G0,W5,D2,L2,V1,M1} I { p1( X ), ! r1( skol15, X ) }.
% 0.43/1.08 (20) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.43/1.08 (31) {G0,W9,D2,L4,V2,M1} I { ! alpha1( X ), alpha3( Y ), p1( Y ), ! r1( X,
% 0.43/1.08 Y ) }.
% 0.43/1.08 (35) {G0,W8,D3,L3,V3,M1} I { ! alpha3( X ), ! p1( skol8( Z ) ), ! r1( X, Y
% 0.43/1.08 ) }.
% 0.43/1.08 (36) {G0,W9,D3,L3,V2,M2} I { ! alpha3( X ), r1( Y, skol8( Y ) ), ! r1( X, Y
% 0.43/1.08 ) }.
% 0.43/1.08 (47) {G1,W2,D2,L1,V0,M1} R(20,0) { alpha1( skol1 ) }.
% 0.43/1.08 (49) {G1,W11,D3,L4,V3,M2} R(2,6) { p1( X ), ! p1( skol9( Y ) ), ! r1( Z, X
% 0.43/1.08 ), ! r1( skol15, Z ) }.
% 0.43/1.08 (55) {G1,W11,D3,L4,V2,M2} R(3,8);r(6) { p1( X ), p1( skol9( skol15 ) ), !
% 0.43/1.08 r1( Y, X ), ! r1( skol15, Y ) }.
% 0.43/1.08 (75) {G1,W4,D3,L1,V0,M1} R(4,6) { r1( skol15, skol14( skol15 ) ) }.
% 0.43/1.08 (368) {G2,W4,D2,L2,V0,M1} R(31,6);r(47) { p1( skol15 ), alpha3( skol15 )
% 0.43/1.08 }.
% 0.43/1.08 (369) {G3,W2,D2,L1,V0,M1} S(368);r(7) { alpha3( skol15 ) }.
% 0.43/1.08 (382) {G4,W3,D3,L1,V1,M1} R(35,75);r(369) { ! p1( skol8( X ) ) }.
% 0.43/1.08 (523) {G5,W11,D3,L4,V3,M2} R(49,36);r(382) { ! p1( skol9( Y ) ), ! alpha3(
% 0.43/1.08 Z ), ! r1( Z, X ), ! r1( skol15, X ) }.
% 0.43/1.08 (544) {G6,W6,D3,L2,V2,M1} F(523);r(369) { ! p1( skol9( X ) ), ! r1( skol15
% 0.43/1.08 , Y ) }.
% 0.43/1.08 (557) {G7,W3,D3,L1,V1,M1} R(544,75) { ! p1( skol9( X ) ) }.
% 0.43/1.08 (558) {G8,W8,D2,L3,V2,M2} S(55);r(557) { p1( X ), ! r1( skol15, Y ), ! r1(
% 0.43/1.08 Y, X ) }.
% 0.43/1.08 (560) {G9,W8,D2,L3,V2,M2} R(558,36);r(382) { ! alpha3( Y ), ! r1( Y, X ), !
% 0.43/1.08 r1( skol15, X ) }.
% 0.43/1.08 (587) {G10,W3,D2,L1,V1,M1} F(560);r(369) { ! r1( skol15, X ) }.
% 0.43/1.08 (600) {G11,W0,D0,L0,V0,M0} R(587,75) { }.
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 % SZS output end Refutation
% 0.43/1.08 found a proof!
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Unprocessed initial clauses:
% 0.43/1.08
% 0.43/1.08 (602) {G0,W2,D2,L1,V0,M1} { alpha2( skol1 ) }.
% 0.43/1.08 (603) {G0,W7,D2,L3,V1,M3} { ! r1( skol1, X ), alpha4( X ), alpha6( X ) }.
% 0.43/1.08 (604) {G0,W14,D3,L5,V4,M5} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.43/1.08 , p1( Z ), ! p1( skol9( T ) ) }.
% 0.43/1.08 (605) {G0,W15,D3,L5,V3,M5} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.43/1.08 , p1( Z ), r1( X, skol9( X ) ) }.
% 0.43/1.08 (606) {G0,W7,D3,L2,V1,M2} { ! r1( skol1, X ), r1( X, skol14( X ) ) }.
% 0.43/1.08 (607) {G0,W4,D2,L2,V1,M2} { ! r1( skol1, X ), ! || }.
% 0.43/1.08 (608) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol15 ) }.
% 0.43/1.08 (609) {G0,W2,D2,L1,V0,M1} { ! p1( skol15 ) }.
% 0.43/1.08 (610) {G0,W5,D2,L2,V1,M2} { ! r1( skol15, X ), p1( X ) }.
% 0.43/1.08 (611) {G0,W8,D3,L3,V3,M3} { ! alpha6( X ), ! r1( skol2( Y ), Z ), ! p1( Z
% 0.43/1.08 ) }.
% 0.43/1.08 (612) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), r1( X, skol2( X ) ) }.
% 0.43/1.08 (613) {G0,W8,D3,L3,V3,M3} { ! r1( X, Y ), p1( skol10( Z ) ), alpha6( X )
% 0.43/1.08 }.
% 0.43/1.08 (614) {G0,W9,D3,L3,V2,M3} { ! r1( X, Y ), r1( Y, skol10( Y ) ), alpha6( X
% 0.43/1.08 ) }.
% 0.43/1.08 (615) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! r1( X, Y ), alpha7( Y ) }.
% 0.43/1.08 (616) {G0,W5,D3,L2,V2,M2} { ! alpha7( skol3( Y ) ), alpha4( X ) }.
% 0.43/1.08 (617) {G0,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), alpha4( X ) }.
% 0.43/1.08 (618) {G0,W8,D3,L3,V3,M3} { ! alpha7( X ), ! r1( X, Y ), p1( skol4( Z ) )
% 0.43/1.08 }.
% 0.43/1.08 (619) {G0,W9,D3,L3,V2,M3} { ! alpha7( X ), ! r1( X, Y ), r1( Y, skol4( Y )
% 0.43/1.08 ) }.
% 0.43/1.08 (620) {G0,W8,D3,L3,V3,M3} { ! r1( skol11( Y ), Z ), ! p1( Z ), alpha7( X )
% 0.43/1.08 }.
% 0.43/1.08 (621) {G0,W6,D3,L2,V1,M2} { r1( X, skol11( X ) ), alpha7( X ) }.
% 0.43/1.08 (622) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha1( X ) }.
% 0.43/1.08 (623) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.43/1.08 (624) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha5( X ), alpha2( X ) }.
% 0.43/1.08 (625) {G0,W9,D2,L4,V2,M4} { ! alpha5( X ), ! r1( X, Y ), alpha8( Y ), ! p1
% 0.43/1.08 ( Y ) }.
% 0.43/1.08 (626) {G0,W5,D3,L2,V2,M2} { ! alpha8( skol5( Y ) ), alpha5( X ) }.
% 0.43/1.08 (627) {G0,W5,D3,L2,V2,M2} { p1( skol5( Y ) ), alpha5( X ) }.
% 0.43/1.08 (628) {G0,W6,D3,L2,V1,M2} { r1( X, skol5( X ) ), alpha5( X ) }.
% 0.43/1.08 (629) {G0,W8,D3,L3,V3,M3} { ! alpha8( X ), ! r1( X, Y ), p1( skol6( Z ) )
% 0.43/1.08 }.
% 0.43/1.08 (630) {G0,W9,D3,L3,V2,M3} { ! alpha8( X ), ! r1( X, Y ), r1( Y, skol6( Y )
% 0.43/1.08 ) }.
% 0.43/1.08 (631) {G0,W8,D3,L3,V3,M3} { ! r1( skol12( Y ), Z ), ! p1( Z ), alpha8( X )
% 0.43/1.08 }.
% 0.43/1.08 (632) {G0,W6,D3,L2,V1,M2} { r1( X, skol12( X ) ), alpha8( X ) }.
% 0.43/1.08 (633) {G0,W9,D2,L4,V2,M4} { ! alpha1( X ), ! r1( X, Y ), alpha3( Y ), p1(
% 0.43/1.08 Y ) }.
% 0.43/1.08 (634) {G0,W5,D3,L2,V2,M2} { ! alpha3( skol7( Y ) ), alpha1( X ) }.
% 0.43/1.08 (635) {G0,W5,D3,L2,V2,M2} { ! p1( skol7( Y ) ), alpha1( X ) }.
% 0.43/1.08 (636) {G0,W6,D3,L2,V1,M2} { r1( X, skol7( X ) ), alpha1( X ) }.
% 0.43/1.08 (637) {G0,W8,D3,L3,V3,M3} { ! alpha3( X ), ! r1( X, Y ), ! p1( skol8( Z )
% 0.43/1.08 ) }.
% 0.43/1.08 (638) {G0,W9,D3,L3,V2,M3} { ! alpha3( X ), ! r1( X, Y ), r1( Y, skol8( Y )
% 0.43/1.08 ) }.
% 0.43/1.08 (639) {G0,W8,D3,L3,V3,M3} { ! r1( skol13( Y ), Z ), p1( Z ), alpha3( X )
% 0.43/1.08 }.
% 0.43/1.08 (640) {G0,W6,D3,L2,V1,M2} { r1( X, skol13( X ) ), alpha3( X ) }.
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Total Proof:
% 0.43/1.08
% 0.43/1.08 subsumption: (0) {G0,W2,D2,L1,V0,M1} I { alpha2( skol1 ) }.
% 0.43/1.08 parent0: (602) {G0,W2,D2,L1,V0,M1} { alpha2( skol1 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (2) {G0,W14,D3,L5,V4,M3} I { p1( Z ), ! p1( skol9( T ) ), ! r1
% 0.43/1.08 ( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.43/1.08 parent0: (604) {G0,W14,D3,L5,V4,M5} { ! r1( skol1, X ), ! r1( X, Y ), ! r1
% 0.43/1.08 ( Y, Z ), p1( Z ), ! p1( skol9( T ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := Z
% 0.43/1.08 T := T
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 2
% 0.43/1.08 1 ==> 3
% 0.43/1.08 2 ==> 4
% 0.43/1.08 3 ==> 0
% 0.43/1.08 4 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (3) {G0,W15,D3,L5,V3,M4} I { p1( Z ), ! r1( Y, Z ), ! r1(
% 0.43/1.08 skol1, X ), r1( X, skol9( X ) ), ! r1( X, Y ) }.
% 0.43/1.08 parent0: (605) {G0,W15,D3,L5,V3,M5} { ! r1( skol1, X ), ! r1( X, Y ), ! r1
% 0.43/1.08 ( Y, Z ), p1( Z ), r1( X, skol9( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := Z
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 2
% 0.43/1.08 1 ==> 4
% 0.43/1.08 2 ==> 1
% 0.43/1.08 3 ==> 0
% 0.43/1.08 4 ==> 3
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (4) {G0,W7,D3,L2,V1,M2} I { r1( X, skol14( X ) ), ! r1( skol1
% 0.43/1.08 , X ) }.
% 0.43/1.08 parent0: (606) {G0,W7,D3,L2,V1,M2} { ! r1( skol1, X ), r1( X, skol14( X )
% 0.43/1.08 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (6) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol15 ) }.
% 0.43/1.08 parent0: (608) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (7) {G0,W2,D2,L1,V0,M1} I { ! p1( skol15 ) }.
% 0.43/1.08 parent0: (609) {G0,W2,D2,L1,V0,M1} { ! p1( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (8) {G0,W5,D2,L2,V1,M1} I { p1( X ), ! r1( skol15, X ) }.
% 0.43/1.08 parent0: (610) {G0,W5,D2,L2,V1,M2} { ! r1( skol15, X ), p1( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (20) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.43/1.08 parent0: (622) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha1( X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (31) {G0,W9,D2,L4,V2,M1} I { ! alpha1( X ), alpha3( Y ), p1( Y
% 0.43/1.08 ), ! r1( X, Y ) }.
% 0.43/1.08 parent0: (633) {G0,W9,D2,L4,V2,M4} { ! alpha1( X ), ! r1( X, Y ), alpha3(
% 0.43/1.08 Y ), p1( Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 3
% 0.43/1.08 2 ==> 1
% 0.43/1.08 3 ==> 2
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (35) {G0,W8,D3,L3,V3,M1} I { ! alpha3( X ), ! p1( skol8( Z ) )
% 0.43/1.08 , ! r1( X, Y ) }.
% 0.43/1.08 parent0: (637) {G0,W8,D3,L3,V3,M3} { ! alpha3( X ), ! r1( X, Y ), ! p1(
% 0.43/1.08 skol8( Z ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := Z
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 2
% 0.43/1.08 2 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (36) {G0,W9,D3,L3,V2,M2} I { ! alpha3( X ), r1( Y, skol8( Y )
% 0.43/1.08 ), ! r1( X, Y ) }.
% 0.43/1.08 parent0: (638) {G0,W9,D3,L3,V2,M3} { ! alpha3( X ), ! r1( X, Y ), r1( Y,
% 0.43/1.08 skol8( Y ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 2
% 0.43/1.08 2 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (717) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.43/1.08 parent0[1]: (20) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.43/1.08 parent1[0]: (0) {G0,W2,D2,L1,V0,M1} I { alpha2( skol1 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol1
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (47) {G1,W2,D2,L1,V0,M1} R(20,0) { alpha1( skol1 ) }.
% 0.43/1.08 parent0: (717) {G1,W2,D2,L1,V0,M1} { alpha1( skol1 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (718) {G1,W11,D3,L4,V3,M4} { p1( X ), ! p1( skol9( Y ) ), ! r1
% 0.43/1.08 ( skol15, Z ), ! r1( Z, X ) }.
% 0.43/1.08 parent0[2]: (2) {G0,W14,D3,L5,V4,M3} I { p1( Z ), ! p1( skol9( T ) ), ! r1
% 0.43/1.08 ( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.43/1.08 parent1[0]: (6) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol15
% 0.43/1.08 Y := Z
% 0.43/1.08 Z := X
% 0.43/1.08 T := Y
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (49) {G1,W11,D3,L4,V3,M2} R(2,6) { p1( X ), ! p1( skol9( Y ) )
% 0.43/1.08 , ! r1( Z, X ), ! r1( skol15, Z ) }.
% 0.43/1.08 parent0: (718) {G1,W11,D3,L4,V3,M4} { p1( X ), ! p1( skol9( Y ) ), ! r1(
% 0.43/1.08 skol15, Z ), ! r1( Z, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := Z
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 2 ==> 3
% 0.43/1.08 3 ==> 2
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (723) {G1,W14,D3,L5,V2,M5} { p1( skol9( skol15 ) ), p1( X ), !
% 0.43/1.08 r1( Y, X ), ! r1( skol1, skol15 ), ! r1( skol15, Y ) }.
% 0.43/1.08 parent0[1]: (8) {G0,W5,D2,L2,V1,M1} I { p1( X ), ! r1( skol15, X ) }.
% 0.43/1.08 parent1[3]: (3) {G0,W15,D3,L5,V3,M4} I { p1( Z ), ! r1( Y, Z ), ! r1( skol1
% 0.43/1.08 , X ), r1( X, skol9( X ) ), ! r1( X, Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol9( skol15 )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := skol15
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (730) {G1,W11,D3,L4,V2,M4} { p1( skol9( skol15 ) ), p1( X ), !
% 0.43/1.08 r1( Y, X ), ! r1( skol15, Y ) }.
% 0.43/1.08 parent0[3]: (723) {G1,W14,D3,L5,V2,M5} { p1( skol9( skol15 ) ), p1( X ), !
% 0.43/1.08 r1( Y, X ), ! r1( skol1, skol15 ), ! r1( skol15, Y ) }.
% 0.43/1.08 parent1[0]: (6) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (55) {G1,W11,D3,L4,V2,M2} R(3,8);r(6) { p1( X ), p1( skol9(
% 0.43/1.08 skol15 ) ), ! r1( Y, X ), ! r1( skol15, Y ) }.
% 0.43/1.08 parent0: (730) {G1,W11,D3,L4,V2,M4} { p1( skol9( skol15 ) ), p1( X ), ! r1
% 0.43/1.08 ( Y, X ), ! r1( skol15, Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 2 ==> 2
% 0.43/1.08 3 ==> 3
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (733) {G1,W4,D3,L1,V0,M1} { r1( skol15, skol14( skol15 ) ) }.
% 0.43/1.08 parent0[1]: (4) {G0,W7,D3,L2,V1,M2} I { r1( X, skol14( X ) ), ! r1( skol1,
% 0.43/1.08 X ) }.
% 0.43/1.08 parent1[0]: (6) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol15
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (75) {G1,W4,D3,L1,V0,M1} R(4,6) { r1( skol15, skol14( skol15 )
% 0.43/1.08 ) }.
% 0.43/1.08 parent0: (733) {G1,W4,D3,L1,V0,M1} { r1( skol15, skol14( skol15 ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (734) {G1,W6,D2,L3,V0,M3} { ! alpha1( skol1 ), alpha3( skol15
% 0.43/1.08 ), p1( skol15 ) }.
% 0.43/1.08 parent0[3]: (31) {G0,W9,D2,L4,V2,M1} I { ! alpha1( X ), alpha3( Y ), p1( Y
% 0.43/1.08 ), ! r1( X, Y ) }.
% 0.43/1.08 parent1[0]: (6) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol1
% 0.43/1.08 Y := skol15
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (735) {G2,W4,D2,L2,V0,M2} { alpha3( skol15 ), p1( skol15 ) }.
% 0.43/1.08 parent0[0]: (734) {G1,W6,D2,L3,V0,M3} { ! alpha1( skol1 ), alpha3( skol15
% 0.43/1.08 ), p1( skol15 ) }.
% 0.43/1.08 parent1[0]: (47) {G1,W2,D2,L1,V0,M1} R(20,0) { alpha1( skol1 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (368) {G2,W4,D2,L2,V0,M1} R(31,6);r(47) { p1( skol15 ), alpha3
% 0.43/1.08 ( skol15 ) }.
% 0.43/1.08 parent0: (735) {G2,W4,D2,L2,V0,M2} { alpha3( skol15 ), p1( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 1
% 0.43/1.08 1 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (736) {G1,W2,D2,L1,V0,M1} { alpha3( skol15 ) }.
% 0.43/1.08 parent0[0]: (7) {G0,W2,D2,L1,V0,M1} I { ! p1( skol15 ) }.
% 0.43/1.08 parent1[0]: (368) {G2,W4,D2,L2,V0,M1} R(31,6);r(47) { p1( skol15 ), alpha3
% 0.43/1.08 ( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (369) {G3,W2,D2,L1,V0,M1} S(368);r(7) { alpha3( skol15 ) }.
% 0.43/1.08 parent0: (736) {G1,W2,D2,L1,V0,M1} { alpha3( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (737) {G1,W5,D3,L2,V1,M2} { ! alpha3( skol15 ), ! p1( skol8( X
% 0.43/1.08 ) ) }.
% 0.43/1.08 parent0[2]: (35) {G0,W8,D3,L3,V3,M1} I { ! alpha3( X ), ! p1( skol8( Z ) )
% 0.43/1.08 , ! r1( X, Y ) }.
% 0.43/1.08 parent1[0]: (75) {G1,W4,D3,L1,V0,M1} R(4,6) { r1( skol15, skol14( skol15 )
% 0.43/1.08 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol15
% 0.43/1.08 Y := skol14( skol15 )
% 0.43/1.08 Z := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (738) {G2,W3,D3,L1,V1,M1} { ! p1( skol8( X ) ) }.
% 0.43/1.08 parent0[0]: (737) {G1,W5,D3,L2,V1,M2} { ! alpha3( skol15 ), ! p1( skol8( X
% 0.43/1.08 ) ) }.
% 0.43/1.08 parent1[0]: (369) {G3,W2,D2,L1,V0,M1} S(368);r(7) { alpha3( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (382) {G4,W3,D3,L1,V1,M1} R(35,75);r(369) { ! p1( skol8( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent0: (738) {G2,W3,D3,L1,V1,M1} { ! p1( skol8( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (739) {G1,W14,D3,L5,V3,M5} { p1( skol8( X ) ), ! p1( skol9( Y
% 0.43/1.08 ) ), ! r1( skol15, X ), ! alpha3( Z ), ! r1( Z, X ) }.
% 0.43/1.08 parent0[2]: (49) {G1,W11,D3,L4,V3,M2} R(2,6) { p1( X ), ! p1( skol9( Y ) )
% 0.43/1.08 , ! r1( Z, X ), ! r1( skol15, Z ) }.
% 0.43/1.08 parent1[1]: (36) {G0,W9,D3,L3,V2,M2} I { ! alpha3( X ), r1( Y, skol8( Y ) )
% 0.43/1.08 , ! r1( X, Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol8( X )
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := Z
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (744) {G2,W11,D3,L4,V3,M4} { ! p1( skol9( Y ) ), ! r1( skol15
% 0.43/1.08 , X ), ! alpha3( Z ), ! r1( Z, X ) }.
% 0.43/1.08 parent0[0]: (382) {G4,W3,D3,L1,V1,M1} R(35,75);r(369) { ! p1( skol8( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (739) {G1,W14,D3,L5,V3,M5} { p1( skol8( X ) ), ! p1( skol9( Y
% 0.43/1.08 ) ), ! r1( skol15, X ), ! alpha3( Z ), ! r1( Z, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := Z
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (523) {G5,W11,D3,L4,V3,M2} R(49,36);r(382) { ! p1( skol9( Y )
% 0.43/1.08 ), ! alpha3( Z ), ! r1( Z, X ), ! r1( skol15, X ) }.
% 0.43/1.08 parent0: (744) {G2,W11,D3,L4,V3,M4} { ! p1( skol9( Y ) ), ! r1( skol15, X
% 0.43/1.08 ), ! alpha3( Z ), ! r1( Z, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 Z := Z
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 3
% 0.43/1.08 2 ==> 1
% 0.43/1.08 3 ==> 2
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 factor: (746) {G5,W8,D3,L3,V2,M3} { ! p1( skol9( X ) ), ! alpha3( skol15 )
% 0.43/1.08 , ! r1( skol15, Y ) }.
% 0.43/1.08 parent0[2, 3]: (523) {G5,W11,D3,L4,V3,M2} R(49,36);r(382) { ! p1( skol9( Y
% 0.43/1.08 ) ), ! alpha3( Z ), ! r1( Z, X ), ! r1( skol15, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := Y
% 0.43/1.08 Y := X
% 0.43/1.08 Z := skol15
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (747) {G4,W6,D3,L2,V2,M2} { ! p1( skol9( X ) ), ! r1( skol15,
% 0.43/1.08 Y ) }.
% 0.43/1.08 parent0[1]: (746) {G5,W8,D3,L3,V2,M3} { ! p1( skol9( X ) ), ! alpha3(
% 0.43/1.08 skol15 ), ! r1( skol15, Y ) }.
% 0.43/1.08 parent1[0]: (369) {G3,W2,D2,L1,V0,M1} S(368);r(7) { alpha3( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (544) {G6,W6,D3,L2,V2,M1} F(523);r(369) { ! p1( skol9( X ) ),
% 0.43/1.08 ! r1( skol15, Y ) }.
% 0.43/1.08 parent0: (747) {G4,W6,D3,L2,V2,M2} { ! p1( skol9( X ) ), ! r1( skol15, Y )
% 0.43/1.08 }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (748) {G2,W3,D3,L1,V1,M1} { ! p1( skol9( X ) ) }.
% 0.43/1.08 parent0[1]: (544) {G6,W6,D3,L2,V2,M1} F(523);r(369) { ! p1( skol9( X ) ), !
% 0.43/1.08 r1( skol15, Y ) }.
% 0.43/1.08 parent1[0]: (75) {G1,W4,D3,L1,V0,M1} R(4,6) { r1( skol15, skol14( skol15 )
% 0.43/1.08 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := skol14( skol15 )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (557) {G7,W3,D3,L1,V1,M1} R(544,75) { ! p1( skol9( X ) ) }.
% 0.43/1.08 parent0: (748) {G2,W3,D3,L1,V1,M1} { ! p1( skol9( X ) ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (753) {G2,W8,D2,L3,V2,M3} { p1( X ), ! r1( Y, X ), ! r1(
% 0.43/1.08 skol15, Y ) }.
% 0.43/1.08 parent0[0]: (557) {G7,W3,D3,L1,V1,M1} R(544,75) { ! p1( skol9( X ) ) }.
% 0.43/1.08 parent1[1]: (55) {G1,W11,D3,L4,V2,M2} R(3,8);r(6) { p1( X ), p1( skol9(
% 0.43/1.08 skol15 ) ), ! r1( Y, X ), ! r1( skol15, Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol15
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (558) {G8,W8,D2,L3,V2,M2} S(55);r(557) { p1( X ), ! r1( skol15
% 0.43/1.08 , Y ), ! r1( Y, X ) }.
% 0.43/1.08 parent0: (753) {G2,W8,D2,L3,V2,M3} { p1( X ), ! r1( Y, X ), ! r1( skol15,
% 0.43/1.08 Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 1 ==> 2
% 0.43/1.08 2 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (756) {G1,W11,D3,L4,V2,M4} { p1( skol8( X ) ), ! r1( skol15, X
% 0.43/1.08 ), ! alpha3( Y ), ! r1( Y, X ) }.
% 0.43/1.08 parent0[2]: (558) {G8,W8,D2,L3,V2,M2} S(55);r(557) { p1( X ), ! r1( skol15
% 0.43/1.08 , Y ), ! r1( Y, X ) }.
% 0.43/1.08 parent1[1]: (36) {G0,W9,D3,L3,V2,M2} I { ! alpha3( X ), r1( Y, skol8( Y ) )
% 0.43/1.08 , ! r1( X, Y ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol8( X )
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := Y
% 0.43/1.08 Y := X
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (760) {G2,W8,D2,L3,V2,M3} { ! r1( skol15, X ), ! alpha3( Y ),
% 0.43/1.08 ! r1( Y, X ) }.
% 0.43/1.08 parent0[0]: (382) {G4,W3,D3,L1,V1,M1} R(35,75);r(369) { ! p1( skol8( X ) )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (756) {G1,W11,D3,L4,V2,M4} { p1( skol8( X ) ), ! r1( skol15, X
% 0.43/1.08 ), ! alpha3( Y ), ! r1( Y, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (560) {G9,W8,D2,L3,V2,M2} R(558,36);r(382) { ! alpha3( Y ), !
% 0.43/1.08 r1( Y, X ), ! r1( skol15, X ) }.
% 0.43/1.08 parent0: (760) {G2,W8,D2,L3,V2,M3} { ! r1( skol15, X ), ! alpha3( Y ), !
% 0.43/1.08 r1( Y, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := Y
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 2
% 0.43/1.08 1 ==> 0
% 0.43/1.08 2 ==> 1
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 factor: (762) {G9,W5,D2,L2,V1,M2} { ! alpha3( skol15 ), ! r1( skol15, X )
% 0.43/1.08 }.
% 0.43/1.08 parent0[1, 2]: (560) {G9,W8,D2,L3,V2,M2} R(558,36);r(382) { ! alpha3( Y ),
% 0.43/1.08 ! r1( Y, X ), ! r1( skol15, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 Y := skol15
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (763) {G4,W3,D2,L1,V1,M1} { ! r1( skol15, X ) }.
% 0.43/1.08 parent0[0]: (762) {G9,W5,D2,L2,V1,M2} { ! alpha3( skol15 ), ! r1( skol15,
% 0.43/1.08 X ) }.
% 0.43/1.08 parent1[0]: (369) {G3,W2,D2,L1,V0,M1} S(368);r(7) { alpha3( skol15 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (587) {G10,W3,D2,L1,V1,M1} F(560);r(369) { ! r1( skol15, X )
% 0.43/1.08 }.
% 0.43/1.08 parent0: (763) {G4,W3,D2,L1,V1,M1} { ! r1( skol15, X ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := X
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 0 ==> 0
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 resolution: (764) {G2,W0,D0,L0,V0,M0} { }.
% 0.43/1.08 parent0[0]: (587) {G10,W3,D2,L1,V1,M1} F(560);r(369) { ! r1( skol15, X )
% 0.43/1.08 }.
% 0.43/1.08 parent1[0]: (75) {G1,W4,D3,L1,V0,M1} R(4,6) { r1( skol15, skol14( skol15 )
% 0.43/1.08 ) }.
% 0.43/1.08 substitution0:
% 0.43/1.08 X := skol14( skol15 )
% 0.43/1.08 end
% 0.43/1.08 substitution1:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 subsumption: (600) {G11,W0,D0,L0,V0,M0} R(587,75) { }.
% 0.43/1.08 parent0: (764) {G2,W0,D0,L0,V0,M0} { }.
% 0.43/1.08 substitution0:
% 0.43/1.08 end
% 0.43/1.08 permutation0:
% 0.43/1.08 end
% 0.43/1.08
% 0.43/1.08 Proof check complete!
% 0.43/1.08
% 0.43/1.08 Memory use:
% 0.43/1.08
% 0.43/1.08 space for terms: 7601
% 0.43/1.08 space for clauses: 26625
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 clauses generated: 1095
% 0.43/1.08 clauses kept: 601
% 0.43/1.08 clauses selected: 132
% 0.43/1.08 clauses deleted: 36
% 0.43/1.08 clauses inuse deleted: 0
% 0.43/1.08
% 0.43/1.08 subsentry: 1070
% 0.43/1.08 literals s-matched: 768
% 0.43/1.08 literals matched: 702
% 0.43/1.08 full subsumption: 178
% 0.43/1.08
% 0.43/1.08 checksum: -35787589
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Bliksem ended
%------------------------------------------------------------------------------