TSTP Solution File: LCL686+1.001 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 07:57:01 EDT 2022

% Result   : Theorem 0.66s 1.03s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n028.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 : Tue Jul  5 00:22:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.66/1.03  *** allocated 10000 integers for termspace/termends
% 0.66/1.03  *** allocated 10000 integers for clauses
% 0.66/1.03  *** allocated 10000 integers for justifications
% 0.66/1.03  Bliksem 1.12
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Automatic Strategy Selection
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Clauses:
% 0.66/1.03  
% 0.66/1.03  { r1( X, X ) }.
% 0.66/1.03  { ! r1( X, Z ), ! r1( Z, Y ), r1( X, Y ) }.
% 0.66/1.03  { r1( skol1, skol5 ) }.
% 0.66/1.03  { p3( skol5 ) }.
% 0.66/1.03  { r1( skol5, skol6 ) }.
% 0.66/1.03  { p1( skol6 ) }.
% 0.66/1.03  { r1( skol1, skol7 ) }.
% 0.66/1.03  { ! r1( skol7, X ), alpha2( X ) }.
% 0.66/1.03  { ! r1( skol7, X ), ! p2( skol8( Y ) ), ! p1( skol8( Y ) ) }.
% 0.66/1.03  { ! r1( skol7, X ), alpha4( X, skol8( X ) ) }.
% 0.66/1.03  { ! alpha4( X, Y ), r1( X, Y ) }.
% 0.66/1.03  { ! alpha4( X, Y ), p1( Y ), p2( Y ) }.
% 0.66/1.03  { ! r1( X, Y ), ! p1( Y ), alpha4( X, Y ) }.
% 0.66/1.03  { ! r1( X, Y ), ! p2( Y ), alpha4( X, Y ) }.
% 0.66/1.03  { ! alpha2( X ), alpha1( X ) }.
% 0.66/1.03  { ! alpha2( X ), ! p3( skol2( Y ) ) }.
% 0.66/1.03  { ! alpha2( X ), r1( X, skol2( X ) ) }.
% 0.66/1.03  { ! alpha1( X ), ! r1( X, Y ), p3( Y ), alpha2( X ) }.
% 0.66/1.03  { ! alpha1( X ), alpha3( X ) }.
% 0.66/1.03  { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  { ! alpha3( X ), ! alpha5( X ), alpha1( X ) }.
% 0.66/1.03  { ! alpha5( X ), ! r1( X, Y ), alpha6( Y ) }.
% 0.66/1.03  { ! alpha6( skol3( Y ) ), alpha5( X ) }.
% 0.66/1.03  { r1( X, skol3( X ) ), alpha5( X ) }.
% 0.66/1.03  { ! alpha6( X ), alpha7( X ) }.
% 0.66/1.03  { ! alpha6( X ), p2( X ), ! p1( X ) }.
% 0.66/1.03  { ! alpha7( X ), ! p2( X ), alpha6( X ) }.
% 0.66/1.03  { ! alpha7( X ), p1( X ), alpha6( X ) }.
% 0.66/1.03  { ! alpha7( X ), ! p2( X ), p1( X ) }.
% 0.66/1.03  { p2( X ), alpha7( X ) }.
% 0.66/1.03  { ! p1( X ), alpha7( X ) }.
% 0.66/1.03  { ! alpha3( X ), r1( X, skol4( X ) ) }.
% 0.66/1.03  { ! alpha3( X ), ! || }.
% 0.66/1.03  { ! r1( X, Y ), alpha3( X ) }.
% 0.66/1.03  
% 0.66/1.03  percentage equality = 0.000000, percentage horn = 0.852941
% 0.66/1.03  This a non-horn, non-equality problem
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Options Used:
% 0.66/1.03  
% 0.66/1.03  useres =            1
% 0.66/1.03  useparamod =        0
% 0.66/1.03  useeqrefl =         0
% 0.66/1.03  useeqfact =         0
% 0.66/1.03  usefactor =         1
% 0.66/1.03  usesimpsplitting =  0
% 0.66/1.03  usesimpdemod =      0
% 0.66/1.03  usesimpres =        3
% 0.66/1.03  
% 0.66/1.03  resimpinuse      =  1000
% 0.66/1.03  resimpclauses =     20000
% 0.66/1.03  substype =          standard
% 0.66/1.03  backwardsubs =      1
% 0.66/1.03  selectoldest =      5
% 0.66/1.03  
% 0.66/1.03  litorderings [0] =  split
% 0.66/1.03  litorderings [1] =  liftord
% 0.66/1.03  
% 0.66/1.03  termordering =      none
% 0.66/1.03  
% 0.66/1.03  litapriori =        1
% 0.66/1.03  termapriori =       0
% 0.66/1.03  litaposteriori =    0
% 0.66/1.03  termaposteriori =   0
% 0.66/1.03  demodaposteriori =  0
% 0.66/1.03  ordereqreflfact =   0
% 0.66/1.03  
% 0.66/1.03  litselect =         none
% 0.66/1.03  
% 0.66/1.03  maxweight =         15
% 0.66/1.03  maxdepth =          30000
% 0.66/1.03  maxlength =         115
% 0.66/1.03  maxnrvars =         195
% 0.66/1.03  excuselevel =       1
% 0.66/1.03  increasemaxweight = 1
% 0.66/1.03  
% 0.66/1.03  maxselected =       10000000
% 0.66/1.03  maxnrclauses =      10000000
% 0.66/1.03  
% 0.66/1.03  showgenerated =    0
% 0.66/1.03  showkept =         0
% 0.66/1.03  showselected =     0
% 0.66/1.03  showdeleted =      0
% 0.66/1.03  showresimp =       1
% 0.66/1.03  showstatus =       2000
% 0.66/1.03  
% 0.66/1.03  prologoutput =     0
% 0.66/1.03  nrgoals =          5000000
% 0.66/1.03  totalproof =       1
% 0.66/1.03  
% 0.66/1.03  Symbols occurring in the translation:
% 0.66/1.03  
% 0.66/1.03  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.66/1.03  .  [1, 2]      (w:1, o:31, a:1, s:1, b:0), 
% 0.66/1.03  ||  [2, 0]      (w:1, o:3, a:1, s:1, b:0), 
% 0.66/1.03  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.66/1.03  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.66/1.03  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.66/1.03  r1  [36, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.66/1.03  p3  [39, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.66/1.03  p1  [40, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.66/1.03  p2  [41, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.66/1.03  alpha1  [42, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.66/1.03  alpha2  [43, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.66/1.03  alpha3  [44, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.66/1.03  alpha4  [45, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.66/1.03  alpha5  [46, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.66/1.03  alpha6  [47, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.66/1.03  alpha7  [48, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.66/1.03  skol1  [49, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.66/1.03  skol2  [50, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.66/1.03  skol3  [51, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.66/1.03  skol4  [52, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.66/1.03  skol5  [53, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.66/1.03  skol6  [54, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.66/1.03  skol7  [55, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.66/1.03  skol8  [56, 1]      (w:1, o:30, a:1, s:1, b:0).
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Starting Search:
% 0.66/1.03  
% 0.66/1.03  *** allocated 15000 integers for clauses
% 0.66/1.03  *** allocated 22500 integers for clauses
% 0.66/1.03  
% 0.66/1.03  Bliksems!, er is een bewijs:
% 0.66/1.03  % SZS status Theorem
% 0.66/1.03  % SZS output start Refutation
% 0.66/1.03  
% 0.66/1.03  (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.66/1.03  (7) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! r1( skol7, X ) }.
% 0.66/1.03  (8) {G0,W9,D3,L3,V2,M1} I { ! p2( skol8( Y ) ), ! p1( skol8( Y ) ), ! r1( 
% 0.66/1.03    skol7, X ) }.
% 0.66/1.03  (9) {G0,W7,D3,L2,V1,M1} I { ! r1( skol7, X ), alpha4( X, skol8( X ) ) }.
% 0.66/1.03  (10) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha4( X, Y ) }.
% 0.66/1.03  (11) {G0,W7,D2,L3,V2,M1} I { p1( Y ), p2( Y ), ! alpha4( X, Y ) }.
% 0.66/1.03  (14) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.66/1.03  (19) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  (21) {G0,W7,D2,L3,V2,M1} I { ! alpha5( X ), alpha6( Y ), ! r1( X, Y ) }.
% 0.66/1.03  (24) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha7( X ) }.
% 0.66/1.03  (25) {G0,W6,D2,L3,V1,M1} I { p2( X ), ! p1( X ), ! alpha6( X ) }.
% 0.66/1.03  (28) {G0,W6,D2,L3,V1,M1} I { ! p2( X ), p1( X ), ! alpha7( X ) }.
% 0.66/1.03  (42) {G1,W2,D2,L1,V0,M1} R(7,0) { alpha2( skol7 ) }.
% 0.66/1.03  (43) {G1,W6,D3,L2,V1,M1} R(8,0) { ! p2( skol8( X ) ), ! p1( skol8( X ) )
% 0.66/1.03     }.
% 0.66/1.03  (44) {G2,W2,D2,L1,V0,M1} R(14,42) { alpha1( skol7 ) }.
% 0.66/1.03  (49) {G1,W7,D3,L2,V1,M2} R(10,9) { ! r1( skol7, X ), r1( X, skol8( X ) )
% 0.66/1.03     }.
% 0.66/1.03  (56) {G1,W9,D3,L3,V1,M1} R(11,9) { p2( skol8( X ) ), p1( skol8( X ) ), ! r1
% 0.66/1.03    ( skol7, X ) }.
% 0.66/1.03  (75) {G1,W6,D2,L3,V1,M1} R(28,24) { ! p2( X ), p1( X ), ! alpha6( X ) }.
% 0.66/1.03  (249) {G2,W4,D3,L1,V0,M1} R(49,0) { r1( skol7, skol8( skol7 ) ) }.
% 0.66/1.03  (263) {G3,W5,D3,L2,V0,M1} R(249,21) { ! alpha5( skol7 ), alpha6( skol8( 
% 0.66/1.03    skol7 ) ) }.
% 0.66/1.03  (277) {G4,W5,D3,L2,V0,M1} R(263,25);r(43) { ! p1( skol8( skol7 ) ), ! 
% 0.66/1.03    alpha5( skol7 ) }.
% 0.66/1.03  (278) {G4,W5,D3,L2,V0,M1} R(263,75);r(43) { ! p2( skol8( skol7 ) ), ! 
% 0.66/1.03    alpha5( skol7 ) }.
% 0.66/1.03  (281) {G5,W3,D3,L1,V0,M1} R(277,19);r(44) { ! p1( skol8( skol7 ) ) }.
% 0.66/1.03  (284) {G5,W3,D3,L1,V0,M1} R(278,19);r(44) { ! p2( skol8( skol7 ) ) }.
% 0.66/1.03  (341) {G6,W3,D3,L1,V0,M1} R(56,0);r(284) { p1( skol8( skol7 ) ) }.
% 0.66/1.03  (342) {G7,W0,D0,L0,V0,M0} S(341);r(281) {  }.
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  % SZS output end Refutation
% 0.66/1.03  found a proof!
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Unprocessed initial clauses:
% 0.66/1.03  
% 0.66/1.03  (344) {G0,W3,D2,L1,V1,M1}  { r1( X, X ) }.
% 0.66/1.03  (345) {G0,W9,D2,L3,V3,M3}  { ! r1( X, Z ), ! r1( Z, Y ), r1( X, Y ) }.
% 0.66/1.03  (346) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol5 ) }.
% 0.66/1.03  (347) {G0,W2,D2,L1,V0,M1}  { p3( skol5 ) }.
% 0.66/1.03  (348) {G0,W3,D2,L1,V0,M1}  { r1( skol5, skol6 ) }.
% 0.66/1.03  (349) {G0,W2,D2,L1,V0,M1}  { p1( skol6 ) }.
% 0.66/1.03  (350) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol7 ) }.
% 0.66/1.03  (351) {G0,W5,D2,L2,V1,M2}  { ! r1( skol7, X ), alpha2( X ) }.
% 0.66/1.03  (352) {G0,W9,D3,L3,V2,M3}  { ! r1( skol7, X ), ! p2( skol8( Y ) ), ! p1( 
% 0.66/1.03    skol8( Y ) ) }.
% 0.66/1.03  (353) {G0,W7,D3,L2,V1,M2}  { ! r1( skol7, X ), alpha4( X, skol8( X ) ) }.
% 0.66/1.03  (354) {G0,W6,D2,L2,V2,M2}  { ! alpha4( X, Y ), r1( X, Y ) }.
% 0.66/1.03  (355) {G0,W7,D2,L3,V2,M3}  { ! alpha4( X, Y ), p1( Y ), p2( Y ) }.
% 0.66/1.03  (356) {G0,W8,D2,L3,V2,M3}  { ! r1( X, Y ), ! p1( Y ), alpha4( X, Y ) }.
% 0.66/1.03  (357) {G0,W8,D2,L3,V2,M3}  { ! r1( X, Y ), ! p2( Y ), alpha4( X, Y ) }.
% 0.66/1.03  (358) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha1( X ) }.
% 0.66/1.03  (359) {G0,W5,D3,L2,V2,M2}  { ! alpha2( X ), ! p3( skol2( Y ) ) }.
% 0.66/1.03  (360) {G0,W6,D3,L2,V1,M2}  { ! alpha2( X ), r1( X, skol2( X ) ) }.
% 0.66/1.03  (361) {G0,W9,D2,L4,V2,M4}  { ! alpha1( X ), ! r1( X, Y ), p3( Y ), alpha2( 
% 0.66/1.03    X ) }.
% 0.66/1.03  (362) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), alpha3( X ) }.
% 0.66/1.03  (363) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  (364) {G0,W6,D2,L3,V1,M3}  { ! alpha3( X ), ! alpha5( X ), alpha1( X ) }.
% 0.66/1.03  (365) {G0,W7,D2,L3,V2,M3}  { ! alpha5( X ), ! r1( X, Y ), alpha6( Y ) }.
% 0.66/1.03  (366) {G0,W5,D3,L2,V2,M2}  { ! alpha6( skol3( Y ) ), alpha5( X ) }.
% 0.66/1.03  (367) {G0,W6,D3,L2,V1,M2}  { r1( X, skol3( X ) ), alpha5( X ) }.
% 0.66/1.03  (368) {G0,W4,D2,L2,V1,M2}  { ! alpha6( X ), alpha7( X ) }.
% 0.66/1.03  (369) {G0,W6,D2,L3,V1,M3}  { ! alpha6( X ), p2( X ), ! p1( X ) }.
% 0.66/1.03  (370) {G0,W6,D2,L3,V1,M3}  { ! alpha7( X ), ! p2( X ), alpha6( X ) }.
% 0.66/1.03  (371) {G0,W6,D2,L3,V1,M3}  { ! alpha7( X ), p1( X ), alpha6( X ) }.
% 0.66/1.03  (372) {G0,W6,D2,L3,V1,M3}  { ! alpha7( X ), ! p2( X ), p1( X ) }.
% 0.66/1.03  (373) {G0,W4,D2,L2,V1,M2}  { p2( X ), alpha7( X ) }.
% 0.66/1.03  (374) {G0,W4,D2,L2,V1,M2}  { ! p1( X ), alpha7( X ) }.
% 0.66/1.03  (375) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), r1( X, skol4( X ) ) }.
% 0.66/1.03  (376) {G0,W3,D2,L2,V1,M2}  { ! alpha3( X ), ! || }.
% 0.66/1.03  (377) {G0,W5,D2,L2,V2,M2}  { ! r1( X, Y ), alpha3( X ) }.
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Total Proof:
% 0.66/1.03  
% 0.66/1.03  subsumption: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.66/1.03  parent0: (344) {G0,W3,D2,L1,V1,M1}  { r1( X, X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (7) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! r1( skol7, X ) }.
% 0.66/1.03  parent0: (351) {G0,W5,D2,L2,V1,M2}  { ! r1( skol7, X ), alpha2( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 1
% 0.66/1.03     1 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (8) {G0,W9,D3,L3,V2,M1} I { ! p2( skol8( Y ) ), ! p1( skol8( Y
% 0.66/1.03     ) ), ! r1( skol7, X ) }.
% 0.66/1.03  parent0: (352) {G0,W9,D3,L3,V2,M3}  { ! r1( skol7, X ), ! p2( skol8( Y ) )
% 0.66/1.03    , ! p1( skol8( Y ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03     Y := Y
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 2
% 0.66/1.03     1 ==> 0
% 0.66/1.03     2 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (9) {G0,W7,D3,L2,V1,M1} I { ! r1( skol7, X ), alpha4( X, skol8
% 0.66/1.03    ( X ) ) }.
% 0.66/1.03  parent0: (353) {G0,W7,D3,L2,V1,M2}  { ! r1( skol7, X ), alpha4( X, skol8( X
% 0.66/1.03     ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (10) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha4( X, Y ) }.
% 0.66/1.03  parent0: (354) {G0,W6,D2,L2,V2,M2}  { ! alpha4( X, Y ), r1( X, Y ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03     Y := Y
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 1
% 0.66/1.03     1 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (11) {G0,W7,D2,L3,V2,M1} I { p1( Y ), p2( Y ), ! alpha4( X, Y
% 0.66/1.03     ) }.
% 0.66/1.03  parent0: (355) {G0,W7,D2,L3,V2,M3}  { ! alpha4( X, Y ), p1( Y ), p2( Y )
% 0.66/1.03     }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03     Y := Y
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 2
% 0.66/1.03     1 ==> 0
% 0.66/1.03     2 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (14) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.66/1.03  parent0: (358) {G0,W4,D2,L2,V1,M2}  { ! alpha2( X ), alpha1( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 1
% 0.66/1.03     1 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (19) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  parent0: (363) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (21) {G0,W7,D2,L3,V2,M1} I { ! alpha5( X ), alpha6( Y ), ! r1
% 0.66/1.03    ( X, Y ) }.
% 0.66/1.03  parent0: (365) {G0,W7,D2,L3,V2,M3}  { ! alpha5( X ), ! r1( X, Y ), alpha6( 
% 0.66/1.03    Y ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03     Y := Y
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 2
% 0.66/1.03     2 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (24) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha7( X ) }.
% 0.66/1.03  parent0: (368) {G0,W4,D2,L2,V1,M2}  { ! alpha6( X ), alpha7( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (25) {G0,W6,D2,L3,V1,M1} I { p2( X ), ! p1( X ), ! alpha6( X )
% 0.66/1.03     }.
% 0.66/1.03  parent0: (369) {G0,W6,D2,L3,V1,M3}  { ! alpha6( X ), p2( X ), ! p1( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 2
% 0.66/1.03     1 ==> 0
% 0.66/1.03     2 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (28) {G0,W6,D2,L3,V1,M1} I { ! p2( X ), p1( X ), ! alpha7( X )
% 0.66/1.03     }.
% 0.66/1.03  parent0: (372) {G0,W6,D2,L3,V1,M3}  { ! alpha7( X ), ! p2( X ), p1( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 2
% 0.66/1.03     1 ==> 0
% 0.66/1.03     2 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (389) {G1,W2,D2,L1,V0,M1}  { alpha2( skol7 ) }.
% 0.66/1.03  parent0[1]: (7) {G0,W5,D2,L2,V1,M1} I { alpha2( X ), ! r1( skol7, X ) }.
% 0.66/1.03  parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (42) {G1,W2,D2,L1,V0,M1} R(7,0) { alpha2( skol7 ) }.
% 0.66/1.03  parent0: (389) {G1,W2,D2,L1,V0,M1}  { alpha2( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (390) {G1,W6,D3,L2,V1,M2}  { ! p2( skol8( X ) ), ! p1( skol8( X
% 0.66/1.03     ) ) }.
% 0.66/1.03  parent0[2]: (8) {G0,W9,D3,L3,V2,M1} I { ! p2( skol8( Y ) ), ! p1( skol8( Y
% 0.66/1.03     ) ), ! r1( skol7, X ) }.
% 0.66/1.03  parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03     Y := X
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (43) {G1,W6,D3,L2,V1,M1} R(8,0) { ! p2( skol8( X ) ), ! p1( 
% 0.66/1.03    skol8( X ) ) }.
% 0.66/1.03  parent0: (390) {G1,W6,D3,L2,V1,M2}  { ! p2( skol8( X ) ), ! p1( skol8( X )
% 0.66/1.03     ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (391) {G1,W2,D2,L1,V0,M1}  { alpha1( skol7 ) }.
% 0.66/1.03  parent0[1]: (14) {G0,W4,D2,L2,V1,M1} I { alpha1( X ), ! alpha2( X ) }.
% 0.66/1.03  parent1[0]: (42) {G1,W2,D2,L1,V0,M1} R(7,0) { alpha2( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (44) {G2,W2,D2,L1,V0,M1} R(14,42) { alpha1( skol7 ) }.
% 0.66/1.03  parent0: (391) {G1,W2,D2,L1,V0,M1}  { alpha1( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (392) {G1,W7,D3,L2,V1,M2}  { r1( X, skol8( X ) ), ! r1( skol7, 
% 0.66/1.03    X ) }.
% 0.66/1.03  parent0[1]: (10) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha4( X, Y ) }.
% 0.66/1.03  parent1[1]: (9) {G0,W7,D3,L2,V1,M1} I { ! r1( skol7, X ), alpha4( X, skol8
% 0.66/1.03    ( X ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03     Y := skol8( X )
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (49) {G1,W7,D3,L2,V1,M2} R(10,9) { ! r1( skol7, X ), r1( X, 
% 0.66/1.03    skol8( X ) ) }.
% 0.66/1.03  parent0: (392) {G1,W7,D3,L2,V1,M2}  { r1( X, skol8( X ) ), ! r1( skol7, X )
% 0.66/1.03     }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 1
% 0.66/1.03     1 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (393) {G1,W9,D3,L3,V1,M3}  { p1( skol8( X ) ), p2( skol8( X ) )
% 0.66/1.03    , ! r1( skol7, X ) }.
% 0.66/1.03  parent0[2]: (11) {G0,W7,D2,L3,V2,M1} I { p1( Y ), p2( Y ), ! alpha4( X, Y )
% 0.66/1.03     }.
% 0.66/1.03  parent1[1]: (9) {G0,W7,D3,L2,V1,M1} I { ! r1( skol7, X ), alpha4( X, skol8
% 0.66/1.03    ( X ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03     Y := skol8( X )
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (56) {G1,W9,D3,L3,V1,M1} R(11,9) { p2( skol8( X ) ), p1( skol8
% 0.66/1.03    ( X ) ), ! r1( skol7, X ) }.
% 0.66/1.03  parent0: (393) {G1,W9,D3,L3,V1,M3}  { p1( skol8( X ) ), p2( skol8( X ) ), !
% 0.66/1.03     r1( skol7, X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 1
% 0.66/1.03     1 ==> 0
% 0.66/1.03     2 ==> 2
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (394) {G1,W6,D2,L3,V1,M3}  { ! p2( X ), p1( X ), ! alpha6( X )
% 0.66/1.03     }.
% 0.66/1.03  parent0[2]: (28) {G0,W6,D2,L3,V1,M1} I { ! p2( X ), p1( X ), ! alpha7( X )
% 0.66/1.03     }.
% 0.66/1.03  parent1[1]: (24) {G0,W4,D2,L2,V1,M1} I { ! alpha6( X ), alpha7( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (75) {G1,W6,D2,L3,V1,M1} R(28,24) { ! p2( X ), p1( X ), ! 
% 0.66/1.03    alpha6( X ) }.
% 0.66/1.03  parent0: (394) {G1,W6,D2,L3,V1,M3}  { ! p2( X ), p1( X ), ! alpha6( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := X
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03     2 ==> 2
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (395) {G1,W4,D3,L1,V0,M1}  { r1( skol7, skol8( skol7 ) ) }.
% 0.66/1.03  parent0[0]: (49) {G1,W7,D3,L2,V1,M2} R(10,9) { ! r1( skol7, X ), r1( X, 
% 0.66/1.03    skol8( X ) ) }.
% 0.66/1.03  parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (249) {G2,W4,D3,L1,V0,M1} R(49,0) { r1( skol7, skol8( skol7 )
% 0.66/1.03     ) }.
% 0.66/1.03  parent0: (395) {G1,W4,D3,L1,V0,M1}  { r1( skol7, skol8( skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (396) {G1,W5,D3,L2,V0,M2}  { ! alpha5( skol7 ), alpha6( skol8( 
% 0.66/1.03    skol7 ) ) }.
% 0.66/1.03  parent0[2]: (21) {G0,W7,D2,L3,V2,M1} I { ! alpha5( X ), alpha6( Y ), ! r1( 
% 0.66/1.03    X, Y ) }.
% 0.66/1.03  parent1[0]: (249) {G2,W4,D3,L1,V0,M1} R(49,0) { r1( skol7, skol8( skol7 ) )
% 0.66/1.03     }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03     Y := skol8( skol7 )
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (263) {G3,W5,D3,L2,V0,M1} R(249,21) { ! alpha5( skol7 ), 
% 0.66/1.03    alpha6( skol8( skol7 ) ) }.
% 0.66/1.03  parent0: (396) {G1,W5,D3,L2,V0,M2}  { ! alpha5( skol7 ), alpha6( skol8( 
% 0.66/1.03    skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (397) {G1,W8,D3,L3,V0,M3}  { p2( skol8( skol7 ) ), ! p1( skol8
% 0.66/1.03    ( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent0[2]: (25) {G0,W6,D2,L3,V1,M1} I { p2( X ), ! p1( X ), ! alpha6( X )
% 0.66/1.03     }.
% 0.66/1.03  parent1[1]: (263) {G3,W5,D3,L2,V0,M1} R(249,21) { ! alpha5( skol7 ), alpha6
% 0.66/1.03    ( skol8( skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol8( skol7 )
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (398) {G2,W8,D3,L3,V0,M3}  { ! p1( skol8( skol7 ) ), ! p1( 
% 0.66/1.03    skol8( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent0[0]: (43) {G1,W6,D3,L2,V1,M1} R(8,0) { ! p2( skol8( X ) ), ! p1( 
% 0.66/1.03    skol8( X ) ) }.
% 0.66/1.03  parent1[0]: (397) {G1,W8,D3,L3,V0,M3}  { p2( skol8( skol7 ) ), ! p1( skol8
% 0.66/1.03    ( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  factor: (399) {G2,W5,D3,L2,V0,M2}  { ! p1( skol8( skol7 ) ), ! alpha5( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  parent0[0, 1]: (398) {G2,W8,D3,L3,V0,M3}  { ! p1( skol8( skol7 ) ), ! p1( 
% 0.66/1.03    skol8( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (277) {G4,W5,D3,L2,V0,M1} R(263,25);r(43) { ! p1( skol8( skol7
% 0.66/1.03     ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent0: (399) {G2,W5,D3,L2,V0,M2}  { ! p1( skol8( skol7 ) ), ! alpha5( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (400) {G2,W8,D3,L3,V0,M3}  { ! p2( skol8( skol7 ) ), p1( skol8
% 0.66/1.03    ( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent0[2]: (75) {G1,W6,D2,L3,V1,M1} R(28,24) { ! p2( X ), p1( X ), ! 
% 0.66/1.03    alpha6( X ) }.
% 0.66/1.03  parent1[1]: (263) {G3,W5,D3,L2,V0,M1} R(249,21) { ! alpha5( skol7 ), alpha6
% 0.66/1.03    ( skol8( skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol8( skol7 )
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (401) {G2,W8,D3,L3,V0,M3}  { ! p2( skol8( skol7 ) ), ! p2( 
% 0.66/1.03    skol8( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent0[1]: (43) {G1,W6,D3,L2,V1,M1} R(8,0) { ! p2( skol8( X ) ), ! p1( 
% 0.66/1.03    skol8( X ) ) }.
% 0.66/1.03  parent1[1]: (400) {G2,W8,D3,L3,V0,M3}  { ! p2( skol8( skol7 ) ), p1( skol8
% 0.66/1.03    ( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  factor: (402) {G2,W5,D3,L2,V0,M2}  { ! p2( skol8( skol7 ) ), ! alpha5( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  parent0[0, 1]: (401) {G2,W8,D3,L3,V0,M3}  { ! p2( skol8( skol7 ) ), ! p2( 
% 0.66/1.03    skol8( skol7 ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (278) {G4,W5,D3,L2,V0,M1} R(263,75);r(43) { ! p2( skol8( skol7
% 0.66/1.03     ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent0: (402) {G2,W5,D3,L2,V0,M2}  { ! p2( skol8( skol7 ) ), ! alpha5( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03     1 ==> 1
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (403) {G1,W5,D3,L2,V0,M2}  { ! p1( skol8( skol7 ) ), ! alpha1( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  parent0[1]: (277) {G4,W5,D3,L2,V0,M1} R(263,25);r(43) { ! p1( skol8( skol7
% 0.66/1.03     ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent1[1]: (19) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (404) {G2,W3,D3,L1,V0,M1}  { ! p1( skol8( skol7 ) ) }.
% 0.66/1.03  parent0[1]: (403) {G1,W5,D3,L2,V0,M2}  { ! p1( skol8( skol7 ) ), ! alpha1( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  parent1[0]: (44) {G2,W2,D2,L1,V0,M1} R(14,42) { alpha1( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (281) {G5,W3,D3,L1,V0,M1} R(277,19);r(44) { ! p1( skol8( skol7
% 0.66/1.03     ) ) }.
% 0.66/1.03  parent0: (404) {G2,W3,D3,L1,V0,M1}  { ! p1( skol8( skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (405) {G1,W5,D3,L2,V0,M2}  { ! p2( skol8( skol7 ) ), ! alpha1( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  parent0[1]: (278) {G4,W5,D3,L2,V0,M1} R(263,75);r(43) { ! p2( skol8( skol7
% 0.66/1.03     ) ), ! alpha5( skol7 ) }.
% 0.66/1.03  parent1[1]: (19) {G0,W4,D2,L2,V1,M1} I { ! alpha1( X ), alpha5( X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (406) {G2,W3,D3,L1,V0,M1}  { ! p2( skol8( skol7 ) ) }.
% 0.66/1.03  parent0[1]: (405) {G1,W5,D3,L2,V0,M2}  { ! p2( skol8( skol7 ) ), ! alpha1( 
% 0.66/1.03    skol7 ) }.
% 0.66/1.03  parent1[0]: (44) {G2,W2,D2,L1,V0,M1} R(14,42) { alpha1( skol7 ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (284) {G5,W3,D3,L1,V0,M1} R(278,19);r(44) { ! p2( skol8( skol7
% 0.66/1.03     ) ) }.
% 0.66/1.03  parent0: (406) {G2,W3,D3,L1,V0,M1}  { ! p2( skol8( skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (407) {G1,W6,D3,L2,V0,M2}  { p2( skol8( skol7 ) ), p1( skol8( 
% 0.66/1.03    skol7 ) ) }.
% 0.66/1.03  parent0[2]: (56) {G1,W9,D3,L3,V1,M1} R(11,9) { p2( skol8( X ) ), p1( skol8
% 0.66/1.03    ( X ) ), ! r1( skol7, X ) }.
% 0.66/1.03  parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03     X := skol7
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (408) {G2,W3,D3,L1,V0,M1}  { p1( skol8( skol7 ) ) }.
% 0.66/1.03  parent0[0]: (284) {G5,W3,D3,L1,V0,M1} R(278,19);r(44) { ! p2( skol8( skol7
% 0.66/1.03     ) ) }.
% 0.66/1.03  parent1[0]: (407) {G1,W6,D3,L2,V0,M2}  { p2( skol8( skol7 ) ), p1( skol8( 
% 0.66/1.03    skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (341) {G6,W3,D3,L1,V0,M1} R(56,0);r(284) { p1( skol8( skol7 )
% 0.66/1.03     ) }.
% 0.66/1.03  parent0: (408) {G2,W3,D3,L1,V0,M1}  { p1( skol8( skol7 ) ) }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03     0 ==> 0
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  resolution: (409) {G6,W0,D0,L0,V0,M0}  {  }.
% 0.66/1.03  parent0[0]: (281) {G5,W3,D3,L1,V0,M1} R(277,19);r(44) { ! p1( skol8( skol7
% 0.66/1.03     ) ) }.
% 0.66/1.03  parent1[0]: (341) {G6,W3,D3,L1,V0,M1} R(56,0);r(284) { p1( skol8( skol7 ) )
% 0.66/1.03     }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  substitution1:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  subsumption: (342) {G7,W0,D0,L0,V0,M0} S(341);r(281) {  }.
% 0.66/1.03  parent0: (409) {G6,W0,D0,L0,V0,M0}  {  }.
% 0.66/1.03  substitution0:
% 0.66/1.03  end
% 0.66/1.03  permutation0:
% 0.66/1.03  end
% 0.66/1.03  
% 0.66/1.03  Proof check complete!
% 0.66/1.03  
% 0.66/1.03  Memory use:
% 0.66/1.03  
% 0.66/1.03  space for terms:        3606
% 0.66/1.03  space for clauses:      15429
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  clauses generated:      831
% 0.66/1.03  clauses kept:           343
% 0.66/1.03  clauses selected:       112
% 0.66/1.03  clauses deleted:        5
% 0.66/1.03  clauses inuse deleted:  0
% 0.66/1.03  
% 0.66/1.03  subsentry:          3106
% 0.66/1.03  literals s-matched: 1781
% 0.66/1.03  literals matched:   1766
% 0.66/1.03  full subsumption:   947
% 0.66/1.03  
% 0.66/1.03  checksum:           -1910558327
% 0.66/1.03  
% 0.66/1.03  
% 0.66/1.03  Bliksem ended
%------------------------------------------------------------------------------