TSTP Solution File: LCL650+1.001 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:55:41 EDT 2022
% Result : Theorem 0.69s 1.13s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jul 3 10:34:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.69/1.13 *** allocated 10000 integers for termspace/termends
% 0.69/1.13 *** allocated 10000 integers for clauses
% 0.69/1.13 *** allocated 10000 integers for justifications
% 0.69/1.13 Bliksem 1.12
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Automatic Strategy Selection
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Clauses:
% 0.69/1.13
% 0.69/1.13 { r1( skol1, skol9 ) }.
% 0.69/1.13 { r1( skol9, skol10 ) }.
% 0.69/1.13 { r1( skol10, skol11 ) }.
% 0.69/1.13 { r1( skol11, skol12 ) }.
% 0.69/1.13 { p8( skol12 ), p6( skol12 ), p4( skol12 ), p2( skol12 ) }.
% 0.69/1.13 { r1( skol1, skol13 ) }.
% 0.69/1.13 { ! p5( skol13 ) }.
% 0.69/1.13 { ! r1( skol1, X ), alpha2( X ) }.
% 0.69/1.13 { ! r1( skol1, X ), ! r1( X, Y ), alpha6( Y ) }.
% 0.69/1.13 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), p1( T ), p2(
% 0.69/1.13 T ) }.
% 0.69/1.13 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! p2( T ), !
% 0.69/1.13 p1( T ) }.
% 0.69/1.13 { r1( skol1, skol14 ) }.
% 0.69/1.13 { r1( skol14, skol15 ) }.
% 0.69/1.13 { r1( skol15, skol16 ) }.
% 0.69/1.13 { r1( skol16, skol17 ) }.
% 0.69/1.13 { ! p4( skol17 ), ! p3( skol17 ), ! p2( skol17 ), ! p1( skol17 ) }.
% 0.69/1.13 { ! alpha6( X ), alpha9( X ) }.
% 0.69/1.13 { ! alpha6( X ), ! p3( skol2( Y ) ) }.
% 0.69/1.13 { ! alpha6( X ), r1( X, skol2( X ) ) }.
% 0.69/1.13 { ! alpha9( X ), ! r1( X, Y ), p3( Y ), alpha6( X ) }.
% 0.69/1.13 { ! alpha9( X ), ! r1( X, Y ), alpha4( Y ) }.
% 0.69/1.13 { ! alpha4( skol3( Y ) ), alpha9( X ) }.
% 0.69/1.13 { r1( X, skol3( X ) ), alpha9( X ) }.
% 0.69/1.13 { ! alpha4( X ), ! r1( X, Y ), alpha7( Y ) }.
% 0.69/1.13 { ! alpha7( skol4( Y ) ), alpha4( X ) }.
% 0.69/1.13 { r1( X, skol4( X ) ), alpha4( X ) }.
% 0.69/1.13 { ! alpha7( X ), alpha10( X ) }.
% 0.69/1.13 { ! alpha7( X ), ! p3( X ), ! p2( X ) }.
% 0.69/1.13 { ! alpha10( X ), p3( X ), alpha7( X ) }.
% 0.69/1.13 { ! alpha10( X ), p2( X ), alpha7( X ) }.
% 0.69/1.13 { ! alpha10( X ), p2( X ), p3( X ) }.
% 0.69/1.13 { ! p2( X ), alpha10( X ) }.
% 0.69/1.13 { ! p3( X ), alpha10( X ) }.
% 0.69/1.13 { ! alpha2( X ), alpha1( X ) }.
% 0.69/1.13 { ! alpha2( X ), ! p4( skol5( Y ) ) }.
% 0.69/1.13 { ! alpha2( X ), r1( X, skol5( X ) ) }.
% 0.69/1.13 { ! alpha1( X ), ! r1( X, Y ), p4( Y ), alpha2( X ) }.
% 0.69/1.13 { ! alpha1( X ), ! r1( X, Y ), alpha3( Y ) }.
% 0.69/1.13 { ! alpha3( skol6( Y ) ), alpha1( X ) }.
% 0.69/1.13 { r1( X, skol6( X ) ), alpha1( X ) }.
% 0.69/1.13 { ! alpha3( X ), ! r1( X, Y ), alpha5( Y ) }.
% 0.69/1.13 { ! alpha5( skol7( Y ) ), alpha3( X ) }.
% 0.69/1.13 { r1( X, skol7( X ) ), alpha3( X ) }.
% 0.69/1.13 { ! alpha5( X ), ! r1( X, Y ), alpha8( Y ) }.
% 0.69/1.13 { ! alpha8( skol8( Y ) ), alpha5( X ) }.
% 0.69/1.13 { r1( X, skol8( X ) ), alpha5( X ) }.
% 0.69/1.13 { ! alpha8( X ), alpha11( X ) }.
% 0.69/1.13 { ! alpha8( X ), ! p1( X ), ! p3( X ) }.
% 0.69/1.13 { ! alpha11( X ), p1( X ), alpha8( X ) }.
% 0.69/1.13 { ! alpha11( X ), p3( X ), alpha8( X ) }.
% 0.69/1.13 { ! alpha11( X ), p3( X ), p1( X ) }.
% 0.69/1.13 { ! p3( X ), alpha11( X ) }.
% 0.69/1.13 { ! p1( X ), alpha11( X ) }.
% 0.69/1.13
% 0.69/1.13 percentage equality = 0.000000, percentage horn = 0.716981
% 0.69/1.13 This a non-horn, non-equality problem
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Options Used:
% 0.69/1.13
% 0.69/1.13 useres = 1
% 0.69/1.13 useparamod = 0
% 0.69/1.13 useeqrefl = 0
% 0.69/1.13 useeqfact = 0
% 0.69/1.13 usefactor = 1
% 0.69/1.13 usesimpsplitting = 0
% 0.69/1.13 usesimpdemod = 0
% 0.69/1.13 usesimpres = 3
% 0.69/1.13
% 0.69/1.13 resimpinuse = 1000
% 0.69/1.13 resimpclauses = 20000
% 0.69/1.13 substype = standard
% 0.69/1.13 backwardsubs = 1
% 0.69/1.13 selectoldest = 5
% 0.69/1.13
% 0.69/1.13 litorderings [0] = split
% 0.69/1.13 litorderings [1] = liftord
% 0.69/1.13
% 0.69/1.13 termordering = none
% 0.69/1.13
% 0.69/1.13 litapriori = 1
% 0.69/1.13 termapriori = 0
% 0.69/1.13 litaposteriori = 0
% 0.69/1.13 termaposteriori = 0
% 0.69/1.13 demodaposteriori = 0
% 0.69/1.13 ordereqreflfact = 0
% 0.69/1.13
% 0.69/1.13 litselect = none
% 0.69/1.13
% 0.69/1.13 maxweight = 15
% 0.69/1.13 maxdepth = 30000
% 0.69/1.13 maxlength = 115
% 0.69/1.13 maxnrvars = 195
% 0.69/1.13 excuselevel = 1
% 0.69/1.13 increasemaxweight = 1
% 0.69/1.13
% 0.69/1.13 maxselected = 10000000
% 0.69/1.13 maxnrclauses = 10000000
% 0.69/1.13
% 0.69/1.13 showgenerated = 0
% 0.69/1.13 showkept = 0
% 0.69/1.13 showselected = 0
% 0.69/1.13 showdeleted = 0
% 0.69/1.13 showresimp = 1
% 0.69/1.13 showstatus = 2000
% 0.69/1.13
% 0.69/1.13 prologoutput = 0
% 0.69/1.13 nrgoals = 5000000
% 0.69/1.13 totalproof = 1
% 0.69/1.13
% 0.69/1.13 Symbols occurring in the translation:
% 0.69/1.13
% 0.69/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.13 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.13 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.69/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.13 r1 [37, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.69/1.13 p8 [38, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.13 p6 [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.13 p4 [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.13 p2 [41, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.69/1.13 p5 [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.69/1.13 p3 [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.13 p1 [44, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.13 alpha1 [45, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.69/1.13 alpha2 [46, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.69/1.13 alpha3 [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.69/1.13 alpha4 [48, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.69/1.13 alpha5 [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.69/1.13 alpha6 [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.69/1.13 alpha7 [51, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.69/1.13 alpha8 [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.69/1.13 alpha9 [53, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.69/1.13 alpha10 [54, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.69/1.13 alpha11 [55, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.69/1.13 skol1 [56, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.13 skol2 [57, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.69/1.13 skol3 [58, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.69/1.13 skol4 [59, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.69/1.13 skol5 [60, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.69/1.13 skol6 [61, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.13 skol7 [62, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.13 skol8 [63, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.13 skol9 [64, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.13 skol10 [65, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.69/1.13 skol11 [66, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.13 skol12 [67, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.13 skol13 [68, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.13 skol14 [69, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.13 skol15 [70, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.13 skol16 [71, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.13 skol17 [72, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Starting Search:
% 0.69/1.13
% 0.69/1.13 *** allocated 15000 integers for clauses
% 0.69/1.13 *** allocated 22500 integers for clauses
% 0.69/1.13 *** allocated 33750 integers for clauses
% 0.69/1.13 *** allocated 15000 integers for termspace/termends
% 0.69/1.13 *** allocated 50625 integers for clauses
% 0.69/1.13 Resimplifying inuse:
% 0.69/1.13 Done
% 0.69/1.13
% 0.69/1.13 *** allocated 22500 integers for termspace/termends
% 0.69/1.13 *** allocated 75937 integers for clauses
% 0.69/1.13 *** allocated 113905 integers for clauses
% 0.69/1.13 *** allocated 33750 integers for termspace/termends
% 0.69/1.13
% 0.69/1.13 Intermediate Status:
% 0.69/1.13 Generated: 2918
% 0.69/1.13 Kept: 2002
% 0.69/1.13 Inuse: 524
% 0.69/1.13 Deleted: 31
% 0.69/1.13 Deletedinuse: 12
% 0.69/1.13
% 0.69/1.13 Resimplifying inuse:
% 0.69/1.13 Done
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Bliksems!, er is een bewijs:
% 0.69/1.13 % SZS status Theorem
% 0.69/1.13 % SZS output start Refutation
% 0.69/1.13
% 0.69/1.13 (0) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol9 ) }.
% 0.69/1.13 (1) {G0,W3,D2,L1,V0,M1} I { r1( skol9, skol10 ) }.
% 0.69/1.13 (2) {G0,W3,D2,L1,V0,M1} I { r1( skol10, skol11 ) }.
% 0.69/1.13 (3) {G0,W3,D2,L1,V0,M1} I { r1( skol11, skol12 ) }.
% 0.69/1.13 (7) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! r1( skol1, X ) }.
% 0.69/1.13 (8) {G0,W8,D2,L3,V2,M2} I { alpha6( Y ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.69/1.13 (9) {G0,W16,D2,L6,V4,M4} I { p1( T ), p2( T ), ! r1( Z, T ), ! r1( skol1, X
% 0.69/1.13 ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.69/1.13 (10) {G0,W16,D2,L6,V4,M4} I { ! p2( T ), ! p1( T ), ! r1( Z, T ), ! r1(
% 0.69/1.13 skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.69/1.13 (16) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha9( X ) }.
% 0.69/1.13 (20) {G0,W7,D2,L3,V2,M1} I { ! alpha9( X ), alpha4( Y ), ! r1( X, Y ) }.
% 0.69/1.13 (23) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), alpha7( Y ), ! r1( X, Y ) }.
% 0.69/1.13 (26) {G0,W4,D2,L2,V1,M1} I { alpha10( X ), ! alpha7( X ) }.
% 0.69/1.13 (27) {G0,W6,D2,L3,V1,M1} I { ! p3( X ), ! p2( X ), ! alpha7( X ) }.
% 0.69/1.13 (30) {G0,W6,D2,L3,V1,M1} I { p2( X ), p3( X ), ! alpha10( X ) }.
% 0.69/1.13 (33) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.69/1.13 (37) {G0,W7,D2,L3,V2,M1} I { ! alpha1( X ), alpha3( Y ), ! r1( X, Y ) }.
% 0.69/1.13 (40) {G0,W7,D2,L3,V2,M1} I { ! alpha3( X ), alpha5( Y ), ! r1( X, Y ) }.
% 0.69/1.13 (43) {G0,W7,D2,L3,V2,M1} I { ! alpha5( X ), alpha8( Y ), ! r1( X, Y ) }.
% 0.69/1.13 (46) {G0,W4,D2,L2,V1,M1} I { alpha11( X ), ! alpha8( X ) }.
% 0.69/1.13 (47) {G0,W6,D2,L3,V1,M1} I { ! p1( X ), ! p3( X ), ! alpha8( X ) }.
% 0.69/1.13 (50) {G0,W6,D2,L3,V1,M1} I { p3( X ), p1( X ), ! alpha11( X ) }.
% 0.69/1.13 (75) {G1,W2,D2,L1,V0,M1} R(7,0) { alpha2( skol9 ) }.
% 0.69/1.13 (78) {G2,W2,D2,L1,V0,M1} R(75,33) { alpha1( skol9 ) }.
% 0.69/1.13 (79) {G1,W2,D2,L1,V0,M1} R(8,1);r(0) { alpha6( skol10 ) }.
% 0.69/1.13 (93) {G1,W10,D2,L4,V2,M2} R(9,1);r(0) { p1( X ), p2( X ), ! r1( skol10, Y )
% 0.69/1.13 , ! r1( Y, X ) }.
% 0.69/1.13 (178) {G1,W10,D2,L4,V2,M2} R(10,1);r(0) { ! p1( X ), ! p2( X ), ! r1(
% 0.69/1.13 skol10, Y ), ! r1( Y, X ) }.
% 0.69/1.13 (309) {G1,W4,D2,L2,V0,M1} R(20,2) { alpha4( skol11 ), ! alpha9( skol10 )
% 0.69/1.13 }.
% 0.69/1.13 (320) {G2,W2,D2,L1,V0,M1} R(309,16);r(79) { alpha4( skol11 ) }.
% 0.69/1.13 (365) {G3,W2,D2,L1,V0,M1} R(23,3);r(320) { alpha7( skol12 ) }.
% 0.69/1.13 (372) {G4,W2,D2,L1,V0,M1} R(365,26) { alpha10( skol12 ) }.
% 0.69/1.13 (417) {G4,W4,D2,L2,V0,M1} R(27,365) { ! p3( skol12 ), ! p2( skol12 ) }.
% 0.69/1.13 (433) {G5,W4,D2,L2,V0,M1} R(30,372) { p3( skol12 ), p2( skol12 ) }.
% 0.69/1.13 (497) {G3,W2,D2,L1,V0,M1} R(37,1);r(78) { alpha3( skol10 ) }.
% 0.69/1.13 (548) {G4,W2,D2,L1,V0,M1} R(40,2);r(497) { alpha5( skol11 ) }.
% 0.69/1.13 (605) {G5,W2,D2,L1,V0,M1} R(43,3);r(548) { alpha8( skol12 ) }.
% 0.69/1.13 (612) {G6,W2,D2,L1,V0,M1} R(605,46) { alpha11( skol12 ) }.
% 0.69/1.13 (662) {G6,W4,D2,L2,V0,M1} R(47,605) { ! p3( skol12 ), ! p1( skol12 ) }.
% 0.69/1.13 (677) {G7,W4,D2,L2,V0,M1} R(50,612) { p3( skol12 ), p1( skol12 ) }.
% 0.69/1.13 (872) {G2,W4,D2,L2,V0,M1} R(93,3);r(2) { p1( skol12 ), p2( skol12 ) }.
% 0.69/1.13 (878) {G7,W2,D2,L1,V0,M1} R(872,417);r(662) { ! p3( skol12 ) }.
% 0.69/1.13 (1001) {G8,W2,D2,L1,V0,M1} S(677);r(878) { p1( skol12 ) }.
% 0.69/1.13 (1002) {G8,W2,D2,L1,V0,M1} S(433);r(878) { p2( skol12 ) }.
% 0.69/1.13 (2272) {G9,W5,D2,L2,V0,M1} R(178,3);r(1001) { ! p2( skol12 ), ! r1( skol10
% 0.69/1.13 , skol11 ) }.
% 0.69/1.13 (2278) {G10,W0,D0,L0,V0,M0} S(2272);r(1002);r(2) { }.
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 % SZS output end Refutation
% 0.69/1.13 found a proof!
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Unprocessed initial clauses:
% 0.69/1.13
% 0.69/1.13 (2280) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol9 ) }.
% 0.69/1.13 (2281) {G0,W3,D2,L1,V0,M1} { r1( skol9, skol10 ) }.
% 0.69/1.13 (2282) {G0,W3,D2,L1,V0,M1} { r1( skol10, skol11 ) }.
% 0.69/1.13 (2283) {G0,W3,D2,L1,V0,M1} { r1( skol11, skol12 ) }.
% 0.69/1.13 (2284) {G0,W8,D2,L4,V0,M4} { p8( skol12 ), p6( skol12 ), p4( skol12 ), p2
% 0.69/1.13 ( skol12 ) }.
% 0.69/1.13 (2285) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol13 ) }.
% 0.69/1.13 (2286) {G0,W2,D2,L1,V0,M1} { ! p5( skol13 ) }.
% 0.69/1.13 (2287) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha2( X ) }.
% 0.69/1.13 (2288) {G0,W8,D2,L3,V2,M3} { ! r1( skol1, X ), ! r1( X, Y ), alpha6( Y )
% 0.69/1.13 }.
% 0.69/1.13 (2289) {G0,W16,D2,L6,V4,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.69/1.13 , ! r1( Z, T ), p1( T ), p2( T ) }.
% 0.69/1.13 (2290) {G0,W16,D2,L6,V4,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.69/1.13 , ! r1( Z, T ), ! p2( T ), ! p1( T ) }.
% 0.69/1.13 (2291) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol14 ) }.
% 0.69/1.13 (2292) {G0,W3,D2,L1,V0,M1} { r1( skol14, skol15 ) }.
% 0.69/1.13 (2293) {G0,W3,D2,L1,V0,M1} { r1( skol15, skol16 ) }.
% 0.69/1.13 (2294) {G0,W3,D2,L1,V0,M1} { r1( skol16, skol17 ) }.
% 0.69/1.13 (2295) {G0,W8,D2,L4,V0,M4} { ! p4( skol17 ), ! p3( skol17 ), ! p2( skol17
% 0.69/1.13 ), ! p1( skol17 ) }.
% 0.69/1.13 (2296) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha9( X ) }.
% 0.69/1.13 (2297) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), ! p3( skol2( Y ) ) }.
% 0.69/1.13 (2298) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), r1( X, skol2( X ) ) }.
% 0.69/1.13 (2299) {G0,W9,D2,L4,V2,M4} { ! alpha9( X ), ! r1( X, Y ), p3( Y ), alpha6
% 0.69/1.13 ( X ) }.
% 0.69/1.13 (2300) {G0,W7,D2,L3,V2,M3} { ! alpha9( X ), ! r1( X, Y ), alpha4( Y ) }.
% 0.69/1.13 (2301) {G0,W5,D3,L2,V2,M2} { ! alpha4( skol3( Y ) ), alpha9( X ) }.
% 0.69/1.13 (2302) {G0,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), alpha9( X ) }.
% 0.69/1.13 (2303) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! r1( X, Y ), alpha7( Y ) }.
% 0.69/1.13 (2304) {G0,W5,D3,L2,V2,M2} { ! alpha7( skol4( Y ) ), alpha4( X ) }.
% 0.69/1.13 (2305) {G0,W6,D3,L2,V1,M2} { r1( X, skol4( X ) ), alpha4( X ) }.
% 0.69/1.13 (2306) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha10( X ) }.
% 0.69/1.13 (2307) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! p3( X ), ! p2( X ) }.
% 0.69/1.13 (2308) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), p3( X ), alpha7( X ) }.
% 0.69/1.13 (2309) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), p2( X ), alpha7( X ) }.
% 0.69/1.13 (2310) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), p2( X ), p3( X ) }.
% 0.69/1.13 (2311) {G0,W4,D2,L2,V1,M2} { ! p2( X ), alpha10( X ) }.
% 0.69/1.13 (2312) {G0,W4,D2,L2,V1,M2} { ! p3( X ), alpha10( X ) }.
% 0.69/1.13 (2313) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha1( X ) }.
% 0.69/1.13 (2314) {G0,W5,D3,L2,V2,M2} { ! alpha2( X ), ! p4( skol5( Y ) ) }.
% 0.69/1.13 (2315) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), r1( X, skol5( X ) ) }.
% 0.69/1.13 (2316) {G0,W9,D2,L4,V2,M4} { ! alpha1( X ), ! r1( X, Y ), p4( Y ), alpha2
% 0.69/1.13 ( X ) }.
% 0.69/1.13 (2317) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! r1( X, Y ), alpha3( Y ) }.
% 0.69/1.13 (2318) {G0,W5,D3,L2,V2,M2} { ! alpha3( skol6( Y ) ), alpha1( X ) }.
% 0.69/1.13 (2319) {G0,W6,D3,L2,V1,M2} { r1( X, skol6( X ) ), alpha1( X ) }.
% 0.69/1.13 (2320) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! r1( X, Y ), alpha5( Y ) }.
% 0.69/1.13 (2321) {G0,W5,D3,L2,V2,M2} { ! alpha5( skol7( Y ) ), alpha3( X ) }.
% 0.69/1.13 (2322) {G0,W6,D3,L2,V1,M2} { r1( X, skol7( X ) ), alpha3( X ) }.
% 0.69/1.13 (2323) {G0,W7,D2,L3,V2,M3} { ! alpha5( X ), ! r1( X, Y ), alpha8( Y ) }.
% 0.69/1.13 (2324) {G0,W5,D3,L2,V2,M2} { ! alpha8( skol8( Y ) ), alpha5( X ) }.
% 0.69/1.13 (2325) {G0,W6,D3,L2,V1,M2} { r1( X, skol8( X ) ), alpha5( X ) }.
% 0.69/1.13 (2326) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha11( X ) }.
% 0.69/1.13 (2327) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! p1( X ), ! p3( X ) }.
% 0.69/1.13 (2328) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), p1( X ), alpha8( X ) }.
% 0.69/1.13 (2329) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), p3( X ), alpha8( X ) }.
% 0.69/1.13 (2330) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), p3( X ), p1( X ) }.
% 0.69/1.13 (2331) {G0,W4,D2,L2,V1,M2} { ! p3( X ), alpha11( X ) }.
% 0.69/1.13 (2332) {G0,W4,D2,L2,V1,M2} { ! p1( X ), alpha11( X ) }.
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Total Proof:
% 0.69/1.13
% 0.69/1.13 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol9 ) }.
% 0.69/1.13 parent0: (2280) {G0,W3,D2,L1,V0,M1} { r1( skol1, skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { r1( skol9, skol10 ) }.
% 0.69/1.13 parent0: (2281) {G0,W3,D2,L1,V0,M1} { r1( skol9, skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (2) {G0,W3,D2,L1,V0,M1} I { r1( skol10, skol11 ) }.
% 0.69/1.13 parent0: (2282) {G0,W3,D2,L1,V0,M1} { r1( skol10, skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (3) {G0,W3,D2,L1,V0,M1} I { r1( skol11, skol12 ) }.
% 0.69/1.13 parent0: (2283) {G0,W3,D2,L1,V0,M1} { r1( skol11, skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (7) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! r1( skol1, X ) }.
% 0.69/1.13 parent0: (2287) {G0,W5,D2,L2,V1,M2} { ! r1( skol1, X ), alpha2( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (8) {G0,W8,D2,L3,V2,M2} I { alpha6( Y ), ! r1( skol1, X ), !
% 0.69/1.13 r1( X, Y ) }.
% 0.69/1.13 parent0: (2288) {G0,W8,D2,L3,V2,M3} { ! r1( skol1, X ), ! r1( X, Y ),
% 0.69/1.13 alpha6( Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 2
% 0.69/1.13 2 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (9) {G0,W16,D2,L6,V4,M4} I { p1( T ), p2( T ), ! r1( Z, T ), !
% 0.69/1.13 r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.69/1.13 parent0: (2289) {G0,W16,D2,L6,V4,M6} { ! r1( skol1, X ), ! r1( X, Y ), !
% 0.69/1.13 r1( Y, Z ), ! r1( Z, T ), p1( T ), p2( T ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 Z := Z
% 0.69/1.13 T := T
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 3
% 0.69/1.13 1 ==> 4
% 0.69/1.13 2 ==> 5
% 0.69/1.13 3 ==> 2
% 0.69/1.13 4 ==> 0
% 0.69/1.13 5 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (10) {G0,W16,D2,L6,V4,M4} I { ! p2( T ), ! p1( T ), ! r1( Z, T
% 0.69/1.13 ), ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.69/1.13 parent0: (2290) {G0,W16,D2,L6,V4,M6} { ! r1( skol1, X ), ! r1( X, Y ), !
% 0.69/1.13 r1( Y, Z ), ! r1( Z, T ), ! p2( T ), ! p1( T ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 Z := Z
% 0.69/1.13 T := T
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 3
% 0.69/1.13 1 ==> 4
% 0.69/1.13 2 ==> 5
% 0.69/1.13 3 ==> 2
% 0.69/1.13 4 ==> 0
% 0.69/1.13 5 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (16) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha9( X ) }.
% 0.69/1.13 parent0: (2296) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha9( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (20) {G0,W7,D2,L3,V2,M1} I { ! alpha9( X ), alpha4( Y ), ! r1
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 parent0: (2300) {G0,W7,D2,L3,V2,M3} { ! alpha9( X ), ! r1( X, Y ), alpha4
% 0.69/1.13 ( Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 2
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (23) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), alpha7( Y ), ! r1
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 parent0: (2303) {G0,W7,D2,L3,V2,M3} { ! alpha4( X ), ! r1( X, Y ), alpha7
% 0.69/1.13 ( Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 2
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (26) {G0,W4,D2,L2,V1,M1} I { alpha10( X ), ! alpha7( X ) }.
% 0.69/1.13 parent0: (2306) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha10( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (27) {G0,W6,D2,L3,V1,M1} I { ! p3( X ), ! p2( X ), ! alpha7( X
% 0.69/1.13 ) }.
% 0.69/1.13 parent0: (2307) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! p3( X ), ! p2( X )
% 0.69/1.13 }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 2
% 0.69/1.13 1 ==> 0
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (30) {G0,W6,D2,L3,V1,M1} I { p2( X ), p3( X ), ! alpha10( X )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2310) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), p2( X ), p3( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 2
% 0.69/1.13 1 ==> 0
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (33) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.69/1.13 parent0: (2313) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha1( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (37) {G0,W7,D2,L3,V2,M1} I { ! alpha1( X ), alpha3( Y ), ! r1
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 parent0: (2317) {G0,W7,D2,L3,V2,M3} { ! alpha1( X ), ! r1( X, Y ), alpha3
% 0.69/1.13 ( Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 2
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (40) {G0,W7,D2,L3,V2,M1} I { ! alpha3( X ), alpha5( Y ), ! r1
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 parent0: (2320) {G0,W7,D2,L3,V2,M3} { ! alpha3( X ), ! r1( X, Y ), alpha5
% 0.69/1.13 ( Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 2
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (43) {G0,W7,D2,L3,V2,M1} I { ! alpha5( X ), alpha8( Y ), ! r1
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 parent0: (2323) {G0,W7,D2,L3,V2,M3} { ! alpha5( X ), ! r1( X, Y ), alpha8
% 0.69/1.13 ( Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 2
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (46) {G0,W4,D2,L2,V1,M1} I { alpha11( X ), ! alpha8( X ) }.
% 0.69/1.13 parent0: (2326) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha11( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (47) {G0,W6,D2,L3,V1,M1} I { ! p1( X ), ! p3( X ), ! alpha8( X
% 0.69/1.13 ) }.
% 0.69/1.13 parent0: (2327) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! p1( X ), ! p3( X )
% 0.69/1.13 }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 2
% 0.69/1.13 1 ==> 0
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (50) {G0,W6,D2,L3,V1,M1} I { p3( X ), p1( X ), ! alpha11( X )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2330) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), p3( X ), p1( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 2
% 0.69/1.13 1 ==> 0
% 0.69/1.13 2 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2668) {G1,W2,D2,L1,V0,M1} { alpha2( skol9 ) }.
% 0.69/1.13 parent0[1]: (7) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! r1( skol1, X ) }.
% 0.69/1.13 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol9
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (75) {G1,W2,D2,L1,V0,M1} R(7,0) { alpha2( skol9 ) }.
% 0.69/1.13 parent0: (2668) {G1,W2,D2,L1,V0,M1} { alpha2( skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2669) {G1,W2,D2,L1,V0,M1} { alpha1( skol9 ) }.
% 0.69/1.13 parent0[1]: (33) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.69/1.13 parent1[0]: (75) {G1,W2,D2,L1,V0,M1} R(7,0) { alpha2( skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol9
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (78) {G2,W2,D2,L1,V0,M1} R(75,33) { alpha1( skol9 ) }.
% 0.69/1.13 parent0: (2669) {G1,W2,D2,L1,V0,M1} { alpha1( skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2670) {G1,W5,D2,L2,V0,M2} { alpha6( skol10 ), ! r1( skol1,
% 0.69/1.13 skol9 ) }.
% 0.69/1.13 parent0[2]: (8) {G0,W8,D2,L3,V2,M2} I { alpha6( Y ), ! r1( skol1, X ), ! r1
% 0.69/1.13 ( X, Y ) }.
% 0.69/1.13 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { r1( skol9, skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol9
% 0.69/1.13 Y := skol10
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2671) {G1,W2,D2,L1,V0,M1} { alpha6( skol10 ) }.
% 0.69/1.13 parent0[1]: (2670) {G1,W5,D2,L2,V0,M2} { alpha6( skol10 ), ! r1( skol1,
% 0.69/1.13 skol9 ) }.
% 0.69/1.13 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (79) {G1,W2,D2,L1,V0,M1} R(8,1);r(0) { alpha6( skol10 ) }.
% 0.69/1.13 parent0: (2671) {G1,W2,D2,L1,V0,M1} { alpha6( skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2673) {G1,W13,D2,L5,V2,M5} { p1( X ), p2( X ), ! r1( Y, X ),
% 0.69/1.13 ! r1( skol1, skol9 ), ! r1( skol10, Y ) }.
% 0.69/1.13 parent0[4]: (9) {G0,W16,D2,L6,V4,M4} I { p1( T ), p2( T ), ! r1( Z, T ), !
% 0.69/1.13 r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.69/1.13 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { r1( skol9, skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol9
% 0.69/1.13 Y := skol10
% 0.69/1.13 Z := Y
% 0.69/1.13 T := X
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2686) {G1,W10,D2,L4,V2,M4} { p1( X ), p2( X ), ! r1( Y, X ),
% 0.69/1.13 ! r1( skol10, Y ) }.
% 0.69/1.13 parent0[3]: (2673) {G1,W13,D2,L5,V2,M5} { p1( X ), p2( X ), ! r1( Y, X ),
% 0.69/1.13 ! r1( skol1, skol9 ), ! r1( skol10, Y ) }.
% 0.69/1.13 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (93) {G1,W10,D2,L4,V2,M2} R(9,1);r(0) { p1( X ), p2( X ), ! r1
% 0.69/1.13 ( skol10, Y ), ! r1( Y, X ) }.
% 0.69/1.13 parent0: (2686) {G1,W10,D2,L4,V2,M4} { p1( X ), p2( X ), ! r1( Y, X ), !
% 0.69/1.13 r1( skol10, Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 1
% 0.69/1.13 2 ==> 3
% 0.69/1.13 3 ==> 2
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2689) {G1,W13,D2,L5,V2,M5} { ! p2( X ), ! p1( X ), ! r1( Y, X
% 0.69/1.13 ), ! r1( skol1, skol9 ), ! r1( skol10, Y ) }.
% 0.69/1.13 parent0[4]: (10) {G0,W16,D2,L6,V4,M4} I { ! p2( T ), ! p1( T ), ! r1( Z, T
% 0.69/1.13 ), ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ) }.
% 0.69/1.13 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { r1( skol9, skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol9
% 0.69/1.13 Y := skol10
% 0.69/1.13 Z := Y
% 0.69/1.13 T := X
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2702) {G1,W10,D2,L4,V2,M4} { ! p2( X ), ! p1( X ), ! r1( Y, X
% 0.69/1.13 ), ! r1( skol10, Y ) }.
% 0.69/1.13 parent0[3]: (2689) {G1,W13,D2,L5,V2,M5} { ! p2( X ), ! p1( X ), ! r1( Y, X
% 0.69/1.13 ), ! r1( skol1, skol9 ), ! r1( skol10, Y ) }.
% 0.69/1.13 parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (178) {G1,W10,D2,L4,V2,M2} R(10,1);r(0) { ! p1( X ), ! p2( X )
% 0.69/1.13 , ! r1( skol10, Y ), ! r1( Y, X ) }.
% 0.69/1.13 parent0: (2702) {G1,W10,D2,L4,V2,M4} { ! p2( X ), ! p1( X ), ! r1( Y, X )
% 0.69/1.13 , ! r1( skol10, Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 2 ==> 3
% 0.69/1.13 3 ==> 2
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2704) {G1,W4,D2,L2,V0,M2} { ! alpha9( skol10 ), alpha4(
% 0.69/1.13 skol11 ) }.
% 0.69/1.13 parent0[2]: (20) {G0,W7,D2,L3,V2,M1} I { ! alpha9( X ), alpha4( Y ), ! r1(
% 0.69/1.13 X, Y ) }.
% 0.69/1.13 parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { r1( skol10, skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol10
% 0.69/1.13 Y := skol11
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (309) {G1,W4,D2,L2,V0,M1} R(20,2) { alpha4( skol11 ), ! alpha9
% 0.69/1.13 ( skol10 ) }.
% 0.69/1.13 parent0: (2704) {G1,W4,D2,L2,V0,M2} { ! alpha9( skol10 ), alpha4( skol11 )
% 0.69/1.13 }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2705) {G1,W4,D2,L2,V0,M2} { alpha4( skol11 ), ! alpha6(
% 0.69/1.13 skol10 ) }.
% 0.69/1.13 parent0[1]: (309) {G1,W4,D2,L2,V0,M1} R(20,2) { alpha4( skol11 ), ! alpha9
% 0.69/1.13 ( skol10 ) }.
% 0.69/1.13 parent1[1]: (16) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha9( X ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 X := skol10
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2706) {G2,W2,D2,L1,V0,M1} { alpha4( skol11 ) }.
% 0.69/1.13 parent0[1]: (2705) {G1,W4,D2,L2,V0,M2} { alpha4( skol11 ), ! alpha6(
% 0.69/1.13 skol10 ) }.
% 0.69/1.13 parent1[0]: (79) {G1,W2,D2,L1,V0,M1} R(8,1);r(0) { alpha6( skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (320) {G2,W2,D2,L1,V0,M1} R(309,16);r(79) { alpha4( skol11 )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2706) {G2,W2,D2,L1,V0,M1} { alpha4( skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2707) {G1,W4,D2,L2,V0,M2} { ! alpha4( skol11 ), alpha7(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent0[2]: (23) {G0,W7,D2,L3,V2,M1} I { ! alpha4( X ), alpha7( Y ), ! r1(
% 0.69/1.13 X, Y ) }.
% 0.69/1.13 parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { r1( skol11, skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol11
% 0.69/1.13 Y := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2708) {G2,W2,D2,L1,V0,M1} { alpha7( skol12 ) }.
% 0.69/1.13 parent0[0]: (2707) {G1,W4,D2,L2,V0,M2} { ! alpha4( skol11 ), alpha7(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent1[0]: (320) {G2,W2,D2,L1,V0,M1} R(309,16);r(79) { alpha4( skol11 )
% 0.69/1.13 }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (365) {G3,W2,D2,L1,V0,M1} R(23,3);r(320) { alpha7( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2708) {G2,W2,D2,L1,V0,M1} { alpha7( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2709) {G1,W2,D2,L1,V0,M1} { alpha10( skol12 ) }.
% 0.69/1.13 parent0[1]: (26) {G0,W4,D2,L2,V1,M1} I { alpha10( X ), ! alpha7( X ) }.
% 0.69/1.13 parent1[0]: (365) {G3,W2,D2,L1,V0,M1} R(23,3);r(320) { alpha7( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (372) {G4,W2,D2,L1,V0,M1} R(365,26) { alpha10( skol12 ) }.
% 0.69/1.13 parent0: (2709) {G1,W2,D2,L1,V0,M1} { alpha10( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2710) {G1,W4,D2,L2,V0,M2} { ! p3( skol12 ), ! p2( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent0[2]: (27) {G0,W6,D2,L3,V1,M1} I { ! p3( X ), ! p2( X ), ! alpha7( X
% 0.69/1.13 ) }.
% 0.69/1.13 parent1[0]: (365) {G3,W2,D2,L1,V0,M1} R(23,3);r(320) { alpha7( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (417) {G4,W4,D2,L2,V0,M1} R(27,365) { ! p3( skol12 ), ! p2(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent0: (2710) {G1,W4,D2,L2,V0,M2} { ! p3( skol12 ), ! p2( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2711) {G1,W4,D2,L2,V0,M2} { p2( skol12 ), p3( skol12 ) }.
% 0.69/1.13 parent0[2]: (30) {G0,W6,D2,L3,V1,M1} I { p2( X ), p3( X ), ! alpha10( X )
% 0.69/1.13 }.
% 0.69/1.13 parent1[0]: (372) {G4,W2,D2,L1,V0,M1} R(365,26) { alpha10( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (433) {G5,W4,D2,L2,V0,M1} R(30,372) { p3( skol12 ), p2( skol12
% 0.69/1.13 ) }.
% 0.69/1.13 parent0: (2711) {G1,W4,D2,L2,V0,M2} { p2( skol12 ), p3( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2712) {G1,W4,D2,L2,V0,M2} { ! alpha1( skol9 ), alpha3( skol10
% 0.69/1.13 ) }.
% 0.69/1.13 parent0[2]: (37) {G0,W7,D2,L3,V2,M1} I { ! alpha1( X ), alpha3( Y ), ! r1(
% 0.69/1.13 X, Y ) }.
% 0.69/1.13 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { r1( skol9, skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol9
% 0.69/1.13 Y := skol10
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2713) {G2,W2,D2,L1,V0,M1} { alpha3( skol10 ) }.
% 0.69/1.13 parent0[0]: (2712) {G1,W4,D2,L2,V0,M2} { ! alpha1( skol9 ), alpha3( skol10
% 0.69/1.13 ) }.
% 0.69/1.13 parent1[0]: (78) {G2,W2,D2,L1,V0,M1} R(75,33) { alpha1( skol9 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (497) {G3,W2,D2,L1,V0,M1} R(37,1);r(78) { alpha3( skol10 ) }.
% 0.69/1.13 parent0: (2713) {G2,W2,D2,L1,V0,M1} { alpha3( skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2714) {G1,W4,D2,L2,V0,M2} { ! alpha3( skol10 ), alpha5(
% 0.69/1.13 skol11 ) }.
% 0.69/1.13 parent0[2]: (40) {G0,W7,D2,L3,V2,M1} I { ! alpha3( X ), alpha5( Y ), ! r1(
% 0.69/1.13 X, Y ) }.
% 0.69/1.13 parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { r1( skol10, skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol10
% 0.69/1.13 Y := skol11
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2715) {G2,W2,D2,L1,V0,M1} { alpha5( skol11 ) }.
% 0.69/1.13 parent0[0]: (2714) {G1,W4,D2,L2,V0,M2} { ! alpha3( skol10 ), alpha5(
% 0.69/1.13 skol11 ) }.
% 0.69/1.13 parent1[0]: (497) {G3,W2,D2,L1,V0,M1} R(37,1);r(78) { alpha3( skol10 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (548) {G4,W2,D2,L1,V0,M1} R(40,2);r(497) { alpha5( skol11 )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2715) {G2,W2,D2,L1,V0,M1} { alpha5( skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2716) {G1,W4,D2,L2,V0,M2} { ! alpha5( skol11 ), alpha8(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent0[2]: (43) {G0,W7,D2,L3,V2,M1} I { ! alpha5( X ), alpha8( Y ), ! r1(
% 0.69/1.13 X, Y ) }.
% 0.69/1.13 parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { r1( skol11, skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol11
% 0.69/1.13 Y := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2717) {G2,W2,D2,L1,V0,M1} { alpha8( skol12 ) }.
% 0.69/1.13 parent0[0]: (2716) {G1,W4,D2,L2,V0,M2} { ! alpha5( skol11 ), alpha8(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent1[0]: (548) {G4,W2,D2,L1,V0,M1} R(40,2);r(497) { alpha5( skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (605) {G5,W2,D2,L1,V0,M1} R(43,3);r(548) { alpha8( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2717) {G2,W2,D2,L1,V0,M1} { alpha8( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2718) {G1,W2,D2,L1,V0,M1} { alpha11( skol12 ) }.
% 0.69/1.13 parent0[1]: (46) {G0,W4,D2,L2,V1,M1} I { alpha11( X ), ! alpha8( X ) }.
% 0.69/1.13 parent1[0]: (605) {G5,W2,D2,L1,V0,M1} R(43,3);r(548) { alpha8( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (612) {G6,W2,D2,L1,V0,M1} R(605,46) { alpha11( skol12 ) }.
% 0.69/1.13 parent0: (2718) {G1,W2,D2,L1,V0,M1} { alpha11( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2719) {G1,W4,D2,L2,V0,M2} { ! p1( skol12 ), ! p3( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent0[2]: (47) {G0,W6,D2,L3,V1,M1} I { ! p1( X ), ! p3( X ), ! alpha8( X
% 0.69/1.13 ) }.
% 0.69/1.13 parent1[0]: (605) {G5,W2,D2,L1,V0,M1} R(43,3);r(548) { alpha8( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (662) {G6,W4,D2,L2,V0,M1} R(47,605) { ! p3( skol12 ), ! p1(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent0: (2719) {G1,W4,D2,L2,V0,M2} { ! p1( skol12 ), ! p3( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 1
% 0.69/1.13 1 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2720) {G1,W4,D2,L2,V0,M2} { p3( skol12 ), p1( skol12 ) }.
% 0.69/1.13 parent0[2]: (50) {G0,W6,D2,L3,V1,M1} I { p3( X ), p1( X ), ! alpha11( X )
% 0.69/1.13 }.
% 0.69/1.13 parent1[0]: (612) {G6,W2,D2,L1,V0,M1} R(605,46) { alpha11( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (677) {G7,W4,D2,L2,V0,M1} R(50,612) { p3( skol12 ), p1( skol12
% 0.69/1.13 ) }.
% 0.69/1.13 parent0: (2720) {G1,W4,D2,L2,V0,M2} { p3( skol12 ), p1( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2721) {G1,W7,D2,L3,V0,M3} { p1( skol12 ), p2( skol12 ), ! r1
% 0.69/1.13 ( skol10, skol11 ) }.
% 0.69/1.13 parent0[3]: (93) {G1,W10,D2,L4,V2,M2} R(9,1);r(0) { p1( X ), p2( X ), ! r1
% 0.69/1.13 ( skol10, Y ), ! r1( Y, X ) }.
% 0.69/1.13 parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { r1( skol11, skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 Y := skol11
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2722) {G1,W4,D2,L2,V0,M2} { p1( skol12 ), p2( skol12 ) }.
% 0.69/1.13 parent0[2]: (2721) {G1,W7,D2,L3,V0,M3} { p1( skol12 ), p2( skol12 ), ! r1
% 0.69/1.13 ( skol10, skol11 ) }.
% 0.69/1.13 parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { r1( skol10, skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (872) {G2,W4,D2,L2,V0,M1} R(93,3);r(2) { p1( skol12 ), p2(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent0: (2722) {G1,W4,D2,L2,V0,M2} { p1( skol12 ), p2( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2723) {G3,W4,D2,L2,V0,M2} { ! p3( skol12 ), p1( skol12 ) }.
% 0.69/1.13 parent0[1]: (417) {G4,W4,D2,L2,V0,M1} R(27,365) { ! p3( skol12 ), ! p2(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent1[1]: (872) {G2,W4,D2,L2,V0,M1} R(93,3);r(2) { p1( skol12 ), p2(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2724) {G4,W4,D2,L2,V0,M2} { ! p3( skol12 ), ! p3( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent0[1]: (662) {G6,W4,D2,L2,V0,M1} R(47,605) { ! p3( skol12 ), ! p1(
% 0.69/1.13 skol12 ) }.
% 0.69/1.13 parent1[1]: (2723) {G3,W4,D2,L2,V0,M2} { ! p3( skol12 ), p1( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 factor: (2725) {G4,W2,D2,L1,V0,M1} { ! p3( skol12 ) }.
% 0.69/1.13 parent0[0, 1]: (2724) {G4,W4,D2,L2,V0,M2} { ! p3( skol12 ), ! p3( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (878) {G7,W2,D2,L1,V0,M1} R(872,417);r(662) { ! p3( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent0: (2725) {G4,W2,D2,L1,V0,M1} { ! p3( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2726) {G8,W2,D2,L1,V0,M1} { p1( skol12 ) }.
% 0.69/1.13 parent0[0]: (878) {G7,W2,D2,L1,V0,M1} R(872,417);r(662) { ! p3( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent1[0]: (677) {G7,W4,D2,L2,V0,M1} R(50,612) { p3( skol12 ), p1( skol12
% 0.69/1.13 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (1001) {G8,W2,D2,L1,V0,M1} S(677);r(878) { p1( skol12 ) }.
% 0.69/1.13 parent0: (2726) {G8,W2,D2,L1,V0,M1} { p1( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2727) {G6,W2,D2,L1,V0,M1} { p2( skol12 ) }.
% 0.69/1.13 parent0[0]: (878) {G7,W2,D2,L1,V0,M1} R(872,417);r(662) { ! p3( skol12 )
% 0.69/1.13 }.
% 0.69/1.13 parent1[0]: (433) {G5,W4,D2,L2,V0,M1} R(30,372) { p3( skol12 ), p2( skol12
% 0.69/1.13 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (1002) {G8,W2,D2,L1,V0,M1} S(433);r(878) { p2( skol12 ) }.
% 0.69/1.13 parent0: (2727) {G6,W2,D2,L1,V0,M1} { p2( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2728) {G1,W7,D2,L3,V0,M3} { ! p1( skol12 ), ! p2( skol12 ), !
% 0.69/1.13 r1( skol10, skol11 ) }.
% 0.69/1.13 parent0[3]: (178) {G1,W10,D2,L4,V2,M2} R(10,1);r(0) { ! p1( X ), ! p2( X )
% 0.69/1.13 , ! r1( skol10, Y ), ! r1( Y, X ) }.
% 0.69/1.13 parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { r1( skol11, skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol12
% 0.69/1.13 Y := skol11
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2729) {G2,W5,D2,L2,V0,M2} { ! p2( skol12 ), ! r1( skol10,
% 0.69/1.13 skol11 ) }.
% 0.69/1.13 parent0[0]: (2728) {G1,W7,D2,L3,V0,M3} { ! p1( skol12 ), ! p2( skol12 ), !
% 0.69/1.13 r1( skol10, skol11 ) }.
% 0.69/1.13 parent1[0]: (1001) {G8,W2,D2,L1,V0,M1} S(677);r(878) { p1( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (2272) {G9,W5,D2,L2,V0,M1} R(178,3);r(1001) { ! p2( skol12 ),
% 0.69/1.13 ! r1( skol10, skol11 ) }.
% 0.69/1.13 parent0: (2729) {G2,W5,D2,L2,V0,M2} { ! p2( skol12 ), ! r1( skol10, skol11
% 0.69/1.13 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 1 ==> 1
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2730) {G9,W3,D2,L1,V0,M1} { ! r1( skol10, skol11 ) }.
% 0.69/1.13 parent0[0]: (2272) {G9,W5,D2,L2,V0,M1} R(178,3);r(1001) { ! p2( skol12 ), !
% 0.69/1.13 r1( skol10, skol11 ) }.
% 0.69/1.13 parent1[0]: (1002) {G8,W2,D2,L1,V0,M1} S(433);r(878) { p2( skol12 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (2731) {G1,W0,D0,L0,V0,M0} { }.
% 0.69/1.13 parent0[0]: (2730) {G9,W3,D2,L1,V0,M1} { ! r1( skol10, skol11 ) }.
% 0.69/1.13 parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { r1( skol10, skol11 ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (2278) {G10,W0,D0,L0,V0,M0} S(2272);r(1002);r(2) { }.
% 0.69/1.13 parent0: (2731) {G1,W0,D0,L0,V0,M0} { }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 Proof check complete!
% 0.69/1.13
% 0.69/1.13 Memory use:
% 0.69/1.13
% 0.69/1.13 space for terms: 26441
% 0.69/1.13 space for clauses: 97172
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 clauses generated: 3236
% 0.69/1.13 clauses kept: 2279
% 0.69/1.13 clauses selected: 575
% 0.69/1.13 clauses deleted: 45
% 0.69/1.13 clauses inuse deleted: 18
% 0.69/1.13
% 0.69/1.13 subsentry: 12798
% 0.69/1.13 literals s-matched: 5337
% 0.69/1.13 literals matched: 4275
% 0.69/1.13 full subsumption: 2051
% 0.69/1.13
% 0.69/1.13 checksum: -482300413
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Bliksem ended
%------------------------------------------------------------------------------