TSTP Solution File: SYN415+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n006.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 : Thu Jul 21 02:50:29 EDT 2022

% Result   : Theorem 0.79s 1.19s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n006.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 : Tue Jul 12 04:18:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.79/1.19  *** allocated 10000 integers for termspace/termends
% 0.79/1.19  *** allocated 10000 integers for clauses
% 0.79/1.19  *** allocated 10000 integers for justifications
% 0.79/1.19  Bliksem 1.12
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  Automatic Strategy Selection
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  Clauses:
% 0.79/1.19  
% 0.79/1.19  { alpha5, f( skol1 ) }.
% 0.79/1.19  { alpha5, alpha2( skol1 ) }.
% 0.79/1.19  { alpha5, ! alpha1 }.
% 0.79/1.19  { ! alpha5, alpha1 }.
% 0.79/1.19  { ! alpha5, ! f( X ), ! alpha2( X ) }.
% 0.79/1.19  { ! alpha1, f( skol2 ), alpha5 }.
% 0.79/1.19  { ! alpha1, alpha2( skol2 ), alpha5 }.
% 0.79/1.19  { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.79/1.19  { f( skol3( Y ) ), alpha2( X ) }.
% 0.79/1.19  { ! X = skol3( X ), alpha2( X ) }.
% 0.79/1.19  { ! alpha1, f( skol4 ) }.
% 0.79/1.19  { ! alpha1, alpha3 }.
% 0.79/1.19  { ! f( X ), ! alpha3, alpha1 }.
% 0.79/1.19  { ! alpha3, ! alpha4( X, Y ), X = Y }.
% 0.79/1.19  { alpha4( skol5, skol6 ), alpha3 }.
% 0.79/1.19  { ! skol5 = skol6, alpha3 }.
% 0.79/1.19  { ! alpha4( X, Y ), f( X ) }.
% 0.79/1.19  { ! alpha4( X, Y ), f( Y ) }.
% 0.79/1.19  { ! f( X ), ! f( Y ), alpha4( X, Y ) }.
% 0.79/1.19  
% 0.79/1.19  percentage equality = 0.102564, percentage horn = 0.764706
% 0.79/1.19  This is a problem with some equality
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  Options Used:
% 0.79/1.19  
% 0.79/1.19  useres =            1
% 0.79/1.19  useparamod =        1
% 0.79/1.19  useeqrefl =         1
% 0.79/1.19  useeqfact =         1
% 0.79/1.19  usefactor =         1
% 0.79/1.19  usesimpsplitting =  0
% 0.79/1.19  usesimpdemod =      5
% 0.79/1.19  usesimpres =        3
% 0.79/1.19  
% 0.79/1.19  resimpinuse      =  1000
% 0.79/1.19  resimpclauses =     20000
% 0.79/1.19  substype =          eqrewr
% 0.79/1.19  backwardsubs =      1
% 0.79/1.19  selectoldest =      5
% 0.79/1.19  
% 0.79/1.19  litorderings [0] =  split
% 0.79/1.19  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.79/1.19  
% 0.79/1.19  termordering =      kbo
% 0.79/1.19  
% 0.79/1.19  litapriori =        0
% 0.79/1.19  termapriori =       1
% 0.79/1.19  litaposteriori =    0
% 0.79/1.19  termaposteriori =   0
% 0.79/1.19  demodaposteriori =  0
% 0.79/1.19  ordereqreflfact =   0
% 0.79/1.19  
% 0.79/1.19  litselect =         negord
% 0.79/1.19  
% 0.79/1.19  maxweight =         15
% 0.79/1.19  maxdepth =          30000
% 0.79/1.19  maxlength =         115
% 0.79/1.19  maxnrvars =         195
% 0.79/1.19  excuselevel =       1
% 0.79/1.19  increasemaxweight = 1
% 0.79/1.19  
% 0.79/1.19  maxselected =       10000000
% 0.79/1.19  maxnrclauses =      10000000
% 0.79/1.19  
% 0.79/1.19  showgenerated =    0
% 0.79/1.19  showkept =         0
% 0.79/1.19  showselected =     0
% 0.79/1.19  showdeleted =      0
% 0.79/1.19  showresimp =       1
% 0.79/1.19  showstatus =       2000
% 0.79/1.19  
% 0.79/1.19  prologoutput =     0
% 0.79/1.19  nrgoals =          5000000
% 0.79/1.19  totalproof =       1
% 0.79/1.19  
% 0.79/1.19  Symbols occurring in the translation:
% 0.79/1.19  
% 0.79/1.19  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.79/1.19  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 0.79/1.19  !  [4, 1]      (w:0, o:19, a:1, s:1, b:0), 
% 0.79/1.19  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.19  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.19  f  [36, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.79/1.19  alpha1  [41, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 0.79/1.19  alpha2  [42, 1]      (w:1, o:25, a:1, s:1, b:1), 
% 0.79/1.19  alpha3  [43, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 0.79/1.19  alpha4  [44, 2]      (w:1, o:51, a:1, s:1, b:1), 
% 0.79/1.19  alpha5  [45, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 0.79/1.19  skol1  [46, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 0.79/1.19  skol2  [47, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 0.79/1.19  skol3  [48, 1]      (w:1, o:26, a:1, s:1, b:1), 
% 0.79/1.19  skol4  [49, 0]      (w:1, o:16, a:1, s:1, b:1), 
% 0.79/1.19  skol5  [50, 0]      (w:1, o:17, a:1, s:1, b:1), 
% 0.79/1.19  skol6  [51, 0]      (w:1, o:18, a:1, s:1, b:1).
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  Starting Search:
% 0.79/1.19  
% 0.79/1.19  *** allocated 15000 integers for clauses
% 0.79/1.19  
% 0.79/1.19  Bliksems!, er is een bewijs:
% 0.79/1.19  % SZS status Theorem
% 0.79/1.19  % SZS output start Refutation
% 0.79/1.19  
% 0.79/1.19  (0) {G0,W3,D2,L2,V0,M2} I { alpha5, f( skol1 ) }.
% 0.79/1.19  (1) {G0,W3,D2,L2,V0,M2} I { alpha5, alpha2( skol1 ) }.
% 0.79/1.19  (2) {G0,W2,D1,L2,V0,M2} I { alpha5, ! alpha1 }.
% 0.79/1.19  (3) {G0,W2,D1,L2,V0,M2} I { ! alpha5, alpha1 }.
% 0.79/1.19  (4) {G0,W5,D2,L3,V1,M3} I { ! alpha5, ! f( X ), ! alpha2( X ) }.
% 0.79/1.19  (5) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.79/1.19  (6) {G0,W5,D3,L2,V2,M2} I { f( skol3( Y ) ), alpha2( X ) }.
% 0.79/1.19  (7) {G0,W6,D3,L2,V1,M2} I { ! skol3( X ) ==> X, alpha2( X ) }.
% 0.79/1.19  (8) {G0,W3,D2,L2,V0,M2} I { ! alpha1, f( skol4 ) }.
% 0.79/1.19  (9) {G0,W2,D1,L2,V0,M2} I { ! alpha1, alpha3 }.
% 0.79/1.19  (10) {G0,W4,D2,L3,V1,M3} I { ! f( X ), ! alpha3, alpha1 }.
% 0.79/1.19  (11) {G0,W7,D2,L3,V2,M3} I { ! alpha3, ! alpha4( X, Y ), X = Y }.
% 0.79/1.19  (12) {G0,W4,D2,L2,V0,M2} I { alpha4( skol5, skol6 ), alpha3 }.
% 0.79/1.19  (13) {G0,W4,D2,L2,V0,M2} I { ! skol6 ==> skol5, alpha3 }.
% 0.79/1.19  (14) {G0,W5,D2,L2,V2,M2} I { ! alpha4( X, Y ), f( X ) }.
% 0.79/1.19  (15) {G0,W5,D2,L2,V2,M2} I { ! alpha4( X, Y ), f( Y ) }.
% 0.79/1.19  (16) {G0,W7,D2,L3,V2,M3} I { ! f( X ), ! f( Y ), alpha4( X, Y ) }.
% 0.79/1.19  (21) {G1,W3,D2,L2,V0,M2} R(0,3) { f( skol1 ), alpha1 }.
% 0.79/1.19  (25) {G1,W3,D2,L2,V0,M2} R(1,3) { alpha2( skol1 ), alpha1 }.
% 0.79/1.19  (29) {G1,W3,D2,L2,V0,M2} R(4,8);r(2) { ! alpha2( skol4 ), ! alpha1 }.
% 0.79/1.19  (30) {G1,W5,D2,L3,V1,M3} R(4,2) { ! f( X ), ! alpha2( X ), ! alpha1 }.
% 0.79/1.19  (33) {G2,W6,D2,L3,V1,M3} R(5,25) { ! f( X ), skol1 = X, alpha1 }.
% 0.79/1.19  (57) {G2,W4,D3,L2,V1,M2} R(6,29) { f( skol3( X ) ), ! alpha1 }.
% 0.79/1.19  (74) {G2,W2,D1,L2,V0,M2} R(10,21);f { ! alpha3, alpha1 }.
% 0.79/1.19  (85) {G3,W4,D2,L2,V0,M2} R(74,12) { alpha1, alpha4( skol5, skol6 ) }.
% 0.79/1.19  (86) {G3,W4,D2,L2,V0,M2} R(74,13) { alpha1, ! skol6 ==> skol5 }.
% 0.79/1.19  (118) {G4,W3,D2,L2,V0,M2} R(14,85) { f( skol5 ), alpha1 }.
% 0.79/1.19  (134) {G4,W3,D2,L2,V0,M2} R(15,85) { f( skol6 ), alpha1 }.
% 0.79/1.19  (292) {G5,W4,D2,L2,V0,M2} R(33,134);f { skol6 ==> skol1, alpha1 }.
% 0.79/1.19  (296) {G5,W4,D2,L2,V0,M2} R(33,118);f { skol5 ==> skol1, alpha1 }.
% 0.79/1.19  (300) {G6,W1,D1,L1,V0,M1} P(33,86);f;d(296);d(292);q;r(21) { alpha1 }.
% 0.79/1.19  (301) {G7,W3,D3,L1,V1,M1} R(300,57) { f( skol3( X ) ) }.
% 0.79/1.19  (303) {G7,W4,D2,L2,V1,M2} R(300,30) { ! f( X ), ! alpha2( X ) }.
% 0.79/1.19  (306) {G7,W2,D2,L1,V0,M1} R(300,8) { f( skol4 ) }.
% 0.79/1.19  (308) {G7,W1,D1,L1,V0,M1} R(300,9) { alpha3 }.
% 0.79/1.19  (314) {G8,W4,D2,L2,V1,M2} P(5,306);r(303) { ! alpha2( X ), ! f( skol4 ) }.
% 0.79/1.19  (321) {G9,W2,D2,L1,V1,M1} S(314);r(306) { ! alpha2( X ) }.
% 0.79/1.19  (322) {G10,W4,D3,L1,V1,M1} R(321,7) { ! skol3( X ) ==> X }.
% 0.79/1.19  (323) {G11,W7,D3,L2,V2,M2} P(11,322);r(308) { ! Y = X, ! alpha4( skol3( X )
% 0.79/1.19    , Y ) }.
% 0.79/1.19  (326) {G12,W4,D3,L1,V1,M1} Q(323) { ! alpha4( skol3( X ), X ) }.
% 0.79/1.19  (327) {G13,W2,D2,L1,V1,M1} R(326,16);r(301) { ! f( X ) }.
% 0.79/1.19  (328) {G14,W0,D0,L0,V0,M0} R(327,301) {  }.
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  % SZS output end Refutation
% 0.79/1.19  found a proof!
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  Unprocessed initial clauses:
% 0.79/1.19  
% 0.79/1.19  (330) {G0,W3,D2,L2,V0,M2}  { alpha5, f( skol1 ) }.
% 0.79/1.19  (331) {G0,W3,D2,L2,V0,M2}  { alpha5, alpha2( skol1 ) }.
% 0.79/1.19  (332) {G0,W2,D1,L2,V0,M2}  { alpha5, ! alpha1 }.
% 0.79/1.19  (333) {G0,W2,D1,L2,V0,M2}  { ! alpha5, alpha1 }.
% 0.79/1.19  (334) {G0,W5,D2,L3,V1,M3}  { ! alpha5, ! f( X ), ! alpha2( X ) }.
% 0.79/1.19  (335) {G0,W4,D2,L3,V0,M3}  { ! alpha1, f( skol2 ), alpha5 }.
% 0.79/1.19  (336) {G0,W4,D2,L3,V0,M3}  { ! alpha1, alpha2( skol2 ), alpha5 }.
% 0.79/1.19  (337) {G0,W7,D2,L3,V2,M3}  { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.79/1.19  (338) {G0,W5,D3,L2,V2,M2}  { f( skol3( Y ) ), alpha2( X ) }.
% 0.79/1.19  (339) {G0,W6,D3,L2,V1,M2}  { ! X = skol3( X ), alpha2( X ) }.
% 0.79/1.19  (340) {G0,W3,D2,L2,V0,M2}  { ! alpha1, f( skol4 ) }.
% 0.79/1.19  (341) {G0,W2,D1,L2,V0,M2}  { ! alpha1, alpha3 }.
% 0.79/1.19  (342) {G0,W4,D2,L3,V1,M3}  { ! f( X ), ! alpha3, alpha1 }.
% 0.79/1.19  (343) {G0,W7,D2,L3,V2,M3}  { ! alpha3, ! alpha4( X, Y ), X = Y }.
% 0.79/1.19  (344) {G0,W4,D2,L2,V0,M2}  { alpha4( skol5, skol6 ), alpha3 }.
% 0.79/1.19  (345) {G0,W4,D2,L2,V0,M2}  { ! skol5 = skol6, alpha3 }.
% 0.79/1.19  (346) {G0,W5,D2,L2,V2,M2}  { ! alpha4( X, Y ), f( X ) }.
% 0.79/1.19  (347) {G0,W5,D2,L2,V2,M2}  { ! alpha4( X, Y ), f( Y ) }.
% 0.79/1.19  (348) {G0,W7,D2,L3,V2,M3}  { ! f( X ), ! f( Y ), alpha4( X, Y ) }.
% 0.79/1.19  
% 0.79/1.19  
% 0.79/1.19  Total Proof:
% 0.79/1.19  
% 0.79/1.19  subsumption: (0) {G0,W3,D2,L2,V0,M2} I { alpha5, f( skol1 ) }.
% 0.79/1.19  parent0: (330) {G0,W3,D2,L2,V0,M2}  { alpha5, f( skol1 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (1) {G0,W3,D2,L2,V0,M2} I { alpha5, alpha2( skol1 ) }.
% 0.79/1.19  parent0: (331) {G0,W3,D2,L2,V0,M2}  { alpha5, alpha2( skol1 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (2) {G0,W2,D1,L2,V0,M2} I { alpha5, ! alpha1 }.
% 0.79/1.19  parent0: (332) {G0,W2,D1,L2,V0,M2}  { alpha5, ! alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha5, alpha1 }.
% 0.79/1.19  parent0: (333) {G0,W2,D1,L2,V0,M2}  { ! alpha5, alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (4) {G0,W5,D2,L3,V1,M3} I { ! alpha5, ! f( X ), ! alpha2( X )
% 0.79/1.19     }.
% 0.79/1.19  parent0: (334) {G0,W5,D2,L3,V1,M3}  { ! alpha5, ! f( X ), ! alpha2( X ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (5) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.79/1.19  parent0: (337) {G0,W7,D2,L3,V2,M3}  { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (6) {G0,W5,D3,L2,V2,M2} I { f( skol3( Y ) ), alpha2( X ) }.
% 0.79/1.19  parent0: (338) {G0,W5,D3,L2,V2,M2}  { f( skol3( Y ) ), alpha2( X ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  eqswap: (352) {G0,W6,D3,L2,V1,M2}  { ! skol3( X ) = X, alpha2( X ) }.
% 0.79/1.19  parent0[0]: (339) {G0,W6,D3,L2,V1,M2}  { ! X = skol3( X ), alpha2( X ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (7) {G0,W6,D3,L2,V1,M2} I { ! skol3( X ) ==> X, alpha2( X )
% 0.79/1.19     }.
% 0.79/1.19  parent0: (352) {G0,W6,D3,L2,V1,M2}  { ! skol3( X ) = X, alpha2( X ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (8) {G0,W3,D2,L2,V0,M2} I { ! alpha1, f( skol4 ) }.
% 0.79/1.19  parent0: (340) {G0,W3,D2,L2,V0,M2}  { ! alpha1, f( skol4 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (9) {G0,W2,D1,L2,V0,M2} I { ! alpha1, alpha3 }.
% 0.79/1.19  parent0: (341) {G0,W2,D1,L2,V0,M2}  { ! alpha1, alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (10) {G0,W4,D2,L3,V1,M3} I { ! f( X ), ! alpha3, alpha1 }.
% 0.79/1.19  parent0: (342) {G0,W4,D2,L3,V1,M3}  { ! f( X ), ! alpha3, alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (11) {G0,W7,D2,L3,V2,M3} I { ! alpha3, ! alpha4( X, Y ), X = Y
% 0.79/1.19     }.
% 0.79/1.19  parent0: (343) {G0,W7,D2,L3,V2,M3}  { ! alpha3, ! alpha4( X, Y ), X = Y }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (12) {G0,W4,D2,L2,V0,M2} I { alpha4( skol5, skol6 ), alpha3
% 0.79/1.19     }.
% 0.79/1.19  parent0: (344) {G0,W4,D2,L2,V0,M2}  { alpha4( skol5, skol6 ), alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  eqswap: (368) {G0,W4,D2,L2,V0,M2}  { ! skol6 = skol5, alpha3 }.
% 0.79/1.19  parent0[0]: (345) {G0,W4,D2,L2,V0,M2}  { ! skol5 = skol6, alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (13) {G0,W4,D2,L2,V0,M2} I { ! skol6 ==> skol5, alpha3 }.
% 0.79/1.19  parent0: (368) {G0,W4,D2,L2,V0,M2}  { ! skol6 = skol5, alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (14) {G0,W5,D2,L2,V2,M2} I { ! alpha4( X, Y ), f( X ) }.
% 0.79/1.19  parent0: (346) {G0,W5,D2,L2,V2,M2}  { ! alpha4( X, Y ), f( X ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (15) {G0,W5,D2,L2,V2,M2} I { ! alpha4( X, Y ), f( Y ) }.
% 0.79/1.19  parent0: (347) {G0,W5,D2,L2,V2,M2}  { ! alpha4( X, Y ), f( Y ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (16) {G0,W7,D2,L3,V2,M3} I { ! f( X ), ! f( Y ), alpha4( X, Y
% 0.79/1.19     ) }.
% 0.79/1.19  parent0: (348) {G0,W7,D2,L3,V2,M3}  { ! f( X ), ! f( Y ), alpha4( X, Y )
% 0.79/1.19     }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (382) {G1,W3,D2,L2,V0,M2}  { alpha1, f( skol1 ) }.
% 0.79/1.19  parent0[0]: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha5, alpha1 }.
% 0.79/1.19  parent1[0]: (0) {G0,W3,D2,L2,V0,M2} I { alpha5, f( skol1 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (21) {G1,W3,D2,L2,V0,M2} R(0,3) { f( skol1 ), alpha1 }.
% 0.79/1.19  parent0: (382) {G1,W3,D2,L2,V0,M2}  { alpha1, f( skol1 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 1
% 0.79/1.19     1 ==> 0
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (383) {G1,W3,D2,L2,V0,M2}  { alpha1, alpha2( skol1 ) }.
% 0.79/1.19  parent0[0]: (3) {G0,W2,D1,L2,V0,M2} I { ! alpha5, alpha1 }.
% 0.79/1.19  parent1[0]: (1) {G0,W3,D2,L2,V0,M2} I { alpha5, alpha2( skol1 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (25) {G1,W3,D2,L2,V0,M2} R(1,3) { alpha2( skol1 ), alpha1 }.
% 0.79/1.19  parent0: (383) {G1,W3,D2,L2,V0,M2}  { alpha1, alpha2( skol1 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 1
% 0.79/1.19     1 ==> 0
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (384) {G1,W4,D2,L3,V0,M3}  { ! alpha5, ! alpha2( skol4 ), ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  parent0[1]: (4) {G0,W5,D2,L3,V1,M3} I { ! alpha5, ! f( X ), ! alpha2( X )
% 0.79/1.19     }.
% 0.79/1.19  parent1[1]: (8) {G0,W3,D2,L2,V0,M2} I { ! alpha1, f( skol4 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := skol4
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (385) {G1,W4,D2,L3,V0,M3}  { ! alpha2( skol4 ), ! alpha1, ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  parent0[0]: (384) {G1,W4,D2,L3,V0,M3}  { ! alpha5, ! alpha2( skol4 ), ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  parent1[0]: (2) {G0,W2,D1,L2,V0,M2} I { alpha5, ! alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  factor: (386) {G1,W3,D2,L2,V0,M2}  { ! alpha2( skol4 ), ! alpha1 }.
% 0.79/1.19  parent0[1, 2]: (385) {G1,W4,D2,L3,V0,M3}  { ! alpha2( skol4 ), ! alpha1, ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (29) {G1,W3,D2,L2,V0,M2} R(4,8);r(2) { ! alpha2( skol4 ), ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  parent0: (386) {G1,W3,D2,L2,V0,M2}  { ! alpha2( skol4 ), ! alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (387) {G1,W5,D2,L3,V1,M3}  { ! f( X ), ! alpha2( X ), ! alpha1
% 0.79/1.19     }.
% 0.79/1.19  parent0[0]: (4) {G0,W5,D2,L3,V1,M3} I { ! alpha5, ! f( X ), ! alpha2( X )
% 0.79/1.19     }.
% 0.79/1.19  parent1[0]: (2) {G0,W2,D1,L2,V0,M2} I { alpha5, ! alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (30) {G1,W5,D2,L3,V1,M3} R(4,2) { ! f( X ), ! alpha2( X ), ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  parent0: (387) {G1,W5,D2,L3,V1,M3}  { ! f( X ), ! alpha2( X ), ! alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  *** allocated 22500 integers for clauses
% 0.79/1.19  eqswap: (388) {G0,W7,D2,L3,V2,M3}  { Y = X, ! alpha2( X ), ! f( Y ) }.
% 0.79/1.19  parent0[2]: (5) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19     Y := Y
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (389) {G1,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.19  parent0[1]: (388) {G0,W7,D2,L3,V2,M3}  { Y = X, ! alpha2( X ), ! f( Y ) }.
% 0.79/1.19  parent1[0]: (25) {G1,W3,D2,L2,V0,M2} R(1,3) { alpha2( skol1 ), alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := skol1
% 0.79/1.19     Y := X
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  eqswap: (390) {G1,W6,D2,L3,V1,M3}  { skol1 = X, ! f( X ), alpha1 }.
% 0.79/1.19  parent0[0]: (389) {G1,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (33) {G2,W6,D2,L3,V1,M3} R(5,25) { ! f( X ), skol1 = X, alpha1
% 0.79/1.19     }.
% 0.79/1.19  parent0: (390) {G1,W6,D2,L3,V1,M3}  { skol1 = X, ! f( X ), alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 1
% 0.79/1.19     1 ==> 0
% 0.79/1.19     2 ==> 2
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (391) {G1,W4,D3,L2,V1,M2}  { ! alpha1, f( skol3( X ) ) }.
% 0.79/1.19  parent0[0]: (29) {G1,W3,D2,L2,V0,M2} R(4,8);r(2) { ! alpha2( skol4 ), ! 
% 0.79/1.19    alpha1 }.
% 0.79/1.19  parent1[1]: (6) {G0,W5,D3,L2,V2,M2} I { f( skol3( Y ) ), alpha2( X ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19     X := skol4
% 0.79/1.19     Y := X
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (57) {G2,W4,D3,L2,V1,M2} R(6,29) { f( skol3( X ) ), ! alpha1
% 0.79/1.19     }.
% 0.79/1.19  parent0: (391) {G1,W4,D3,L2,V1,M2}  { ! alpha1, f( skol3( X ) ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := X
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 1
% 0.79/1.19     1 ==> 0
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (392) {G1,W3,D1,L3,V0,M3}  { ! alpha3, alpha1, alpha1 }.
% 0.79/1.19  parent0[0]: (10) {G0,W4,D2,L3,V1,M3} I { ! f( X ), ! alpha3, alpha1 }.
% 0.79/1.19  parent1[0]: (21) {G1,W3,D2,L2,V0,M2} R(0,3) { f( skol1 ), alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := skol1
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  factor: (393) {G1,W2,D1,L2,V0,M2}  { ! alpha3, alpha1 }.
% 0.79/1.19  parent0[1, 2]: (392) {G1,W3,D1,L3,V0,M3}  { ! alpha3, alpha1, alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (74) {G2,W2,D1,L2,V0,M2} R(10,21);f { ! alpha3, alpha1 }.
% 0.79/1.19  parent0: (393) {G1,W2,D1,L2,V0,M2}  { ! alpha3, alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (394) {G1,W4,D2,L2,V0,M2}  { alpha1, alpha4( skol5, skol6 ) }.
% 0.79/1.19  parent0[0]: (74) {G2,W2,D1,L2,V0,M2} R(10,21);f { ! alpha3, alpha1 }.
% 0.79/1.19  parent1[1]: (12) {G0,W4,D2,L2,V0,M2} I { alpha4( skol5, skol6 ), alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (85) {G3,W4,D2,L2,V0,M2} R(74,12) { alpha1, alpha4( skol5, 
% 0.79/1.19    skol6 ) }.
% 0.79/1.19  parent0: (394) {G1,W4,D2,L2,V0,M2}  { alpha1, alpha4( skol5, skol6 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 0
% 0.79/1.19     1 ==> 1
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  eqswap: (395) {G0,W4,D2,L2,V0,M2}  { ! skol5 ==> skol6, alpha3 }.
% 0.79/1.19  parent0[0]: (13) {G0,W4,D2,L2,V0,M2} I { ! skol6 ==> skol5, alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (396) {G1,W4,D2,L2,V0,M2}  { alpha1, ! skol5 ==> skol6 }.
% 0.79/1.19  parent0[0]: (74) {G2,W2,D1,L2,V0,M2} R(10,21);f { ! alpha3, alpha1 }.
% 0.79/1.19  parent1[1]: (395) {G0,W4,D2,L2,V0,M2}  { ! skol5 ==> skol6, alpha3 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  eqswap: (397) {G1,W4,D2,L2,V0,M2}  { ! skol6 ==> skol5, alpha1 }.
% 0.79/1.19  parent0[1]: (396) {G1,W4,D2,L2,V0,M2}  { alpha1, ! skol5 ==> skol6 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  subsumption: (86) {G3,W4,D2,L2,V0,M2} R(74,13) { alpha1, ! skol6 ==> skol5
% 0.79/1.19     }.
% 0.79/1.19  parent0: (397) {G1,W4,D2,L2,V0,M2}  { ! skol6 ==> skol5, alpha1 }.
% 0.79/1.19  substitution0:
% 0.79/1.19  end
% 0.79/1.19  permutation0:
% 0.79/1.19     0 ==> 1
% 0.79/1.19     1 ==> 0
% 0.79/1.19  end
% 0.79/1.19  
% 0.79/1.19  resolution: (398) {G1,W3,D2,L2,V0,M2}  { f( skol5 ), alpha1 }.
% 0.79/1.19  parent0[0]: (14) {G0,W5,D2,L2,V2,M2} I { ! alpha4( X, Y ), f( X ) }.
% 0.79/1.19  parent1[1]: (85) {G3,W4,D2,L2,V0,M2} R(74,12) { alpha1, alpha4( skol5, 
% 0.79/1.19    skol6 ) }.
% 0.79/1.19  substitution0:
% 0.79/1.19     X := skol5
% 0.79/1.19     Y := skol6
% 0.79/1.19  end
% 0.79/1.19  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  subsumption: (118) {G4,W3,D2,L2,V0,M2} R(14,85) { f( skol5 ), alpha1 }.
% 0.79/1.21  parent0: (398) {G1,W3,D2,L2,V0,M2}  { f( skol5 ), alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  permutation0:
% 0.79/1.21     0 ==> 0
% 0.79/1.21     1 ==> 1
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  resolution: (399) {G1,W3,D2,L2,V0,M2}  { f( skol6 ), alpha1 }.
% 0.79/1.21  parent0[0]: (15) {G0,W5,D2,L2,V2,M2} I { ! alpha4( X, Y ), f( Y ) }.
% 0.79/1.21  parent1[1]: (85) {G3,W4,D2,L2,V0,M2} R(74,12) { alpha1, alpha4( skol5, 
% 0.79/1.21    skol6 ) }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := skol5
% 0.79/1.21     Y := skol6
% 0.79/1.21  end
% 0.79/1.21  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  subsumption: (134) {G4,W3,D2,L2,V0,M2} R(15,85) { f( skol6 ), alpha1 }.
% 0.79/1.21  parent0: (399) {G1,W3,D2,L2,V0,M2}  { f( skol6 ), alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  permutation0:
% 0.79/1.21     0 ==> 0
% 0.79/1.21     1 ==> 1
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  eqswap: (400) {G2,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.21  parent0[1]: (33) {G2,W6,D2,L3,V1,M3} R(5,25) { ! f( X ), skol1 = X, alpha1
% 0.79/1.21     }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := X
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  resolution: (401) {G3,W5,D2,L3,V0,M3}  { skol6 = skol1, alpha1, alpha1 }.
% 0.79/1.21  parent0[1]: (400) {G2,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.21  parent1[0]: (134) {G4,W3,D2,L2,V0,M2} R(15,85) { f( skol6 ), alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := skol6
% 0.79/1.21  end
% 0.79/1.21  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  factor: (402) {G3,W4,D2,L2,V0,M2}  { skol6 = skol1, alpha1 }.
% 0.79/1.21  parent0[1, 2]: (401) {G3,W5,D2,L3,V0,M3}  { skol6 = skol1, alpha1, alpha1
% 0.79/1.21     }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  subsumption: (292) {G5,W4,D2,L2,V0,M2} R(33,134);f { skol6 ==> skol1, 
% 0.79/1.21    alpha1 }.
% 0.79/1.21  parent0: (402) {G3,W4,D2,L2,V0,M2}  { skol6 = skol1, alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  permutation0:
% 0.79/1.21     0 ==> 0
% 0.79/1.21     1 ==> 1
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  eqswap: (405) {G2,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.21  parent0[1]: (33) {G2,W6,D2,L3,V1,M3} R(5,25) { ! f( X ), skol1 = X, alpha1
% 0.79/1.21     }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := X
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  resolution: (406) {G3,W5,D2,L3,V0,M3}  { skol5 = skol1, alpha1, alpha1 }.
% 0.79/1.21  parent0[1]: (405) {G2,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.21  parent1[0]: (118) {G4,W3,D2,L2,V0,M2} R(14,85) { f( skol5 ), alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := skol5
% 0.79/1.21  end
% 0.79/1.21  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  factor: (407) {G3,W4,D2,L2,V0,M2}  { skol5 = skol1, alpha1 }.
% 0.79/1.21  parent0[1, 2]: (406) {G3,W5,D2,L3,V0,M3}  { skol5 = skol1, alpha1, alpha1
% 0.79/1.21     }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  subsumption: (296) {G5,W4,D2,L2,V0,M2} R(33,118);f { skol5 ==> skol1, 
% 0.79/1.21    alpha1 }.
% 0.79/1.21  parent0: (407) {G3,W4,D2,L2,V0,M2}  { skol5 = skol1, alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  permutation0:
% 0.79/1.21     0 ==> 0
% 0.79/1.21     1 ==> 1
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  eqswap: (410) {G2,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.21  parent0[1]: (33) {G2,W6,D2,L3,V1,M3} R(5,25) { ! f( X ), skol1 = X, alpha1
% 0.79/1.21     }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := X
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  eqswap: (411) {G3,W4,D2,L2,V0,M2}  { ! skol5 ==> skol6, alpha1 }.
% 0.79/1.21  parent0[1]: (86) {G3,W4,D2,L2,V0,M2} R(74,13) { alpha1, ! skol6 ==> skol5
% 0.79/1.21     }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  paramod: (414) {G3,W7,D2,L4,V0,M4}  { ! skol1 ==> skol6, ! f( skol5 ), 
% 0.79/1.21    alpha1, alpha1 }.
% 0.79/1.21  parent0[0]: (410) {G2,W6,D2,L3,V1,M3}  { X = skol1, ! f( X ), alpha1 }.
% 0.79/1.21  parent1[0; 2]: (411) {G3,W4,D2,L2,V0,M2}  { ! skol5 ==> skol6, alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21     X := skol5
% 0.79/1.21  end
% 0.79/1.21  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  paramod: (503) {G4,W8,D2,L5,V0,M5}  { ! f( skol1 ), alpha1, ! skol1 ==> 
% 0.79/1.21    skol6, alpha1, alpha1 }.
% 0.79/1.21  parent0[0]: (296) {G5,W4,D2,L2,V0,M2} R(33,118);f { skol5 ==> skol1, alpha1
% 0.79/1.21     }.
% 0.79/1.21  parent1[1; 2]: (414) {G3,W7,D2,L4,V0,M4}  { ! skol1 ==> skol6, ! f( skol5 )
% 0.79/1.21    , alpha1, alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  factor: (504) {G4,W7,D2,L4,V0,M4}  { ! f( skol1 ), alpha1, ! skol1 ==> 
% 0.79/1.21    skol6, alpha1 }.
% 0.79/1.21  parent0[1, 3]: (503) {G4,W8,D2,L5,V0,M5}  { ! f( skol1 ), alpha1, ! skol1 
% 0.79/1.21    ==> skol6, alpha1, alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  factor: (505) {G4,W6,D2,L3,V0,M3}  { ! f( skol1 ), alpha1, ! skol1 ==> 
% 0.79/1.21    skol6 }.
% 0.79/1.21  parent0[1, 3]: (504) {G4,W7,D2,L4,V0,M4}  { ! f( skol1 ), alpha1, ! skol1 
% 0.79/1.21    ==> skol6, alpha1 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  paramod: (506) {G5,W7,D2,L4,V0,M4}  { ! skol1 ==> skol1, alpha1, ! f( skol1
% 0.79/1.21     ), alpha1 }.
% 0.79/1.21  parent0[0]: (292) {G5,W4,D2,L2,V0,M2} R(33,134);f { skol6 ==> skol1, alpha1
% 0.79/1.21     }.
% 0.79/1.21  parent1[2; 3]: (505) {G4,W6,D2,L3,V0,M3}  { ! f( skol1 ), alpha1, ! skol1 
% 0.79/1.21    ==> skol6 }.
% 0.79/1.21  substitution0:
% 0.79/1.21  end
% 0.79/1.21  substitution1:
% 0.79/1.21  end
% 0.79/1.21  
% 0.79/1.21  factor: (507) {G5,W6,D2,L3,V0,M3}  { ! skol1 ==> skol1, alpha1, ! f( skol1
% 0.79/1.21     ) }.
% 0.79/1.21  parent0[1, 3]: (506) {G5,W7,D2,L4,V0,M4}  { ! skol1 ==> skol1, alpha1, ! f
% 0.83/1.23    ( skol1 ), alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  eqrefl: (508) {G0,W3,D2,L2,V0,M2}  { alpha1, ! f( skol1 ) }.
% 0.83/1.23  parent0[0]: (507) {G5,W6,D2,L3,V0,M3}  { ! skol1 ==> skol1, alpha1, ! f( 
% 0.83/1.23    skol1 ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (509) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.83/1.23  parent0[1]: (508) {G0,W3,D2,L2,V0,M2}  { alpha1, ! f( skol1 ) }.
% 0.83/1.23  parent1[0]: (21) {G1,W3,D2,L2,V0,M2} R(0,3) { f( skol1 ), alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  factor: (510) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.83/1.23  parent0[0, 1]: (509) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (300) {G6,W1,D1,L1,V0,M1} P(33,86);f;d(296);d(292);q;r(21) { 
% 0.83/1.23    alpha1 }.
% 0.83/1.23  parent0: (510) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  permutation0:
% 0.83/1.23     0 ==> 0
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (511) {G3,W3,D3,L1,V1,M1}  { f( skol3( X ) ) }.
% 0.83/1.23  parent0[1]: (57) {G2,W4,D3,L2,V1,M2} R(6,29) { f( skol3( X ) ), ! alpha1
% 0.83/1.23     }.
% 0.83/1.23  parent1[0]: (300) {G6,W1,D1,L1,V0,M1} P(33,86);f;d(296);d(292);q;r(21) { 
% 0.83/1.23    alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (301) {G7,W3,D3,L1,V1,M1} R(300,57) { f( skol3( X ) ) }.
% 0.83/1.23  parent0: (511) {G3,W3,D3,L1,V1,M1}  { f( skol3( X ) ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  permutation0:
% 0.83/1.23     0 ==> 0
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (512) {G2,W4,D2,L2,V1,M2}  { ! f( X ), ! alpha2( X ) }.
% 0.83/1.23  parent0[2]: (30) {G1,W5,D2,L3,V1,M3} R(4,2) { ! f( X ), ! alpha2( X ), ! 
% 0.83/1.23    alpha1 }.
% 0.83/1.23  parent1[0]: (300) {G6,W1,D1,L1,V0,M1} P(33,86);f;d(296);d(292);q;r(21) { 
% 0.83/1.23    alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (303) {G7,W4,D2,L2,V1,M2} R(300,30) { ! f( X ), ! alpha2( X )
% 0.83/1.23     }.
% 0.83/1.23  parent0: (512) {G2,W4,D2,L2,V1,M2}  { ! f( X ), ! alpha2( X ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  permutation0:
% 0.83/1.23     0 ==> 0
% 0.83/1.23     1 ==> 1
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (513) {G1,W2,D2,L1,V0,M1}  { f( skol4 ) }.
% 0.83/1.23  parent0[0]: (8) {G0,W3,D2,L2,V0,M2} I { ! alpha1, f( skol4 ) }.
% 0.83/1.23  parent1[0]: (300) {G6,W1,D1,L1,V0,M1} P(33,86);f;d(296);d(292);q;r(21) { 
% 0.83/1.23    alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (306) {G7,W2,D2,L1,V0,M1} R(300,8) { f( skol4 ) }.
% 0.83/1.23  parent0: (513) {G1,W2,D2,L1,V0,M1}  { f( skol4 ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  permutation0:
% 0.83/1.23     0 ==> 0
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (514) {G1,W1,D1,L1,V0,M1}  { alpha3 }.
% 0.83/1.23  parent0[0]: (9) {G0,W2,D1,L2,V0,M2} I { ! alpha1, alpha3 }.
% 0.83/1.23  parent1[0]: (300) {G6,W1,D1,L1,V0,M1} P(33,86);f;d(296);d(292);q;r(21) { 
% 0.83/1.23    alpha1 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (308) {G7,W1,D1,L1,V0,M1} R(300,9) { alpha3 }.
% 0.83/1.23  parent0: (514) {G1,W1,D1,L1,V0,M1}  { alpha3 }.
% 0.83/1.23  substitution0:
% 0.83/1.23  end
% 0.83/1.23  permutation0:
% 0.83/1.23     0 ==> 0
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  eqswap: (515) {G0,W7,D2,L3,V2,M3}  { Y = X, ! alpha2( X ), ! f( Y ) }.
% 0.83/1.23  parent0[2]: (5) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! f( Y ), X = Y }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23     Y := Y
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  paramod: (516) {G1,W6,D2,L3,V1,M3}  { f( X ), ! alpha2( X ), ! f( skol4 )
% 0.83/1.23     }.
% 0.83/1.23  parent0[0]: (515) {G0,W7,D2,L3,V2,M3}  { Y = X, ! alpha2( X ), ! f( Y ) }.
% 0.83/1.23  parent1[0; 1]: (306) {G7,W2,D2,L1,V0,M1} R(300,8) { f( skol4 ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23     Y := skol4
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (547) {G2,W6,D2,L3,V1,M3}  { ! alpha2( X ), ! alpha2( X ), ! f
% 0.83/1.23    ( skol4 ) }.
% 0.83/1.23  parent0[0]: (303) {G7,W4,D2,L2,V1,M2} R(300,30) { ! f( X ), ! alpha2( X )
% 0.83/1.23     }.
% 0.83/1.23  parent1[0]: (516) {G1,W6,D2,L3,V1,M3}  { f( X ), ! alpha2( X ), ! f( skol4
% 0.83/1.23     ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  factor: (548) {G2,W4,D2,L2,V1,M2}  { ! alpha2( X ), ! f( skol4 ) }.
% 0.83/1.23  parent0[0, 1]: (547) {G2,W6,D2,L3,V1,M3}  { ! alpha2( X ), ! alpha2( X ), !
% 0.83/1.23     f( skol4 ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (314) {G8,W4,D2,L2,V1,M2} P(5,306);r(303) { ! alpha2( X ), ! f
% 0.83/1.23    ( skol4 ) }.
% 0.83/1.23  parent0: (548) {G2,W4,D2,L2,V1,M2}  { ! alpha2( X ), ! f( skol4 ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  permutation0:
% 0.83/1.23     0 ==> 0
% 0.83/1.23     1 ==> 1
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  resolution: (549) {G8,W2,D2,L1,V1,M1}  { ! alpha2( X ) }.
% 0.83/1.23  parent0[1]: (314) {G8,W4,D2,L2,V1,M2} P(5,306);r(303) { ! alpha2( X ), ! f
% 0.83/1.23    ( skol4 ) }.
% 0.83/1.23  parent1[0]: (306) {G7,W2,D2,L1,V0,M1} R(300,8) { f( skol4 ) }.
% 0.83/1.23  substitution0:
% 0.83/1.23     X := X
% 0.83/1.23  end
% 0.83/1.23  substitution1:
% 0.83/1.23  end
% 0.83/1.23  
% 0.83/1.23  subsumption: (321) {G9,W2,D2,L1,V1,M1} S(314);r(306) { ! alphaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------