TSTP Solution File: KRS088+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 02:42:12 EDT 2022

% Result   : Unsatisfiable 0.42s 1.07s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n018.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 Jun  7 19:39:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.07  *** allocated 10000 integers for termspace/termends
% 0.42/1.07  *** allocated 10000 integers for clauses
% 0.42/1.07  *** allocated 10000 integers for justifications
% 0.42/1.07  Bliksem 1.12
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Automatic Strategy Selection
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Clauses:
% 0.42/1.07  
% 0.42/1.07  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable( X ) }.
% 0.42/1.07  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X ) }.
% 0.42/1.07  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.42/1.07  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.42/1.07  { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.42/1.07  { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.42/1.07  { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.42/1.07  { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.42/1.07  { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.42/1.07  { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.42/1.07  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.42/1.07  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.42/1.07  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X ) }.
% 0.42/1.07  { ! Y = X, ! xsd_string( Y ), xsd_string( X ) }.
% 0.42/1.07  { cowlThing( X ) }.
% 0.42/1.07  { ! cowlNothing( X ) }.
% 0.42/1.07  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.42/1.07  { xsd_integer( X ), xsd_string( X ) }.
% 0.42/1.07  { ! cUnsatisfiable( X ), alpha1( skol1( Y ) ) }.
% 0.42/1.07  { ! cUnsatisfiable( X ), rf( X, skol1( X ) ) }.
% 0.42/1.07  { ! rf( X, Y ), ! alpha1( Y ), cUnsatisfiable( X ) }.
% 0.42/1.07  { ! alpha1( X ), alpha2( X ) }.
% 0.42/1.07  { ! alpha1( X ), cp1( X ) }.
% 0.42/1.07  { ! alpha2( X ), ! cp1( X ), alpha1( X ) }.
% 0.42/1.07  { ! alpha2( X ), ! rinvF( X, Y ), alpha3( Y ) }.
% 0.42/1.07  { ! alpha3( skol2( Y ) ), alpha2( X ) }.
% 0.42/1.07  { rinvF( X, skol2( X ) ), alpha2( X ) }.
% 0.42/1.07  { ! alpha3( X ), ! cp1( skol3( Y ) ) }.
% 0.42/1.07  { ! alpha3( X ), rf( X, skol3( X ) ) }.
% 0.42/1.07  { ! rf( X, Y ), cp1( Y ), alpha3( X ) }.
% 0.42/1.07  { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.42/1.07  { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.42/1.07  { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.42/1.07  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.42/1.07  { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.42/1.07  { cUnsatisfiable( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  
% 0.42/1.07  percentage equality = 0.164835, percentage horn = 0.918919
% 0.42/1.07  This is a problem with some equality
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Options Used:
% 0.42/1.07  
% 0.42/1.07  useres =            1
% 0.42/1.07  useparamod =        1
% 0.42/1.07  useeqrefl =         1
% 0.42/1.07  useeqfact =         1
% 0.42/1.07  usefactor =         1
% 0.42/1.07  usesimpsplitting =  0
% 0.42/1.07  usesimpdemod =      5
% 0.42/1.07  usesimpres =        3
% 0.42/1.07  
% 0.42/1.07  resimpinuse      =  1000
% 0.42/1.07  resimpclauses =     20000
% 0.42/1.07  substype =          eqrewr
% 0.42/1.07  backwardsubs =      1
% 0.42/1.07  selectoldest =      5
% 0.42/1.07  
% 0.42/1.07  litorderings [0] =  split
% 0.42/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.42/1.07  
% 0.42/1.07  termordering =      kbo
% 0.42/1.07  
% 0.42/1.07  litapriori =        0
% 0.42/1.07  termapriori =       1
% 0.42/1.07  litaposteriori =    0
% 0.42/1.07  termaposteriori =   0
% 0.42/1.07  demodaposteriori =  0
% 0.42/1.07  ordereqreflfact =   0
% 0.42/1.07  
% 0.42/1.07  litselect =         negord
% 0.42/1.07  
% 0.42/1.07  maxweight =         15
% 0.42/1.07  maxdepth =          30000
% 0.42/1.07  maxlength =         115
% 0.42/1.07  maxnrvars =         195
% 0.42/1.07  excuselevel =       1
% 0.42/1.07  increasemaxweight = 1
% 0.42/1.07  
% 0.42/1.07  maxselected =       10000000
% 0.42/1.07  maxnrclauses =      10000000
% 0.42/1.07  
% 0.42/1.07  showgenerated =    0
% 0.42/1.07  showkept =         0
% 0.42/1.07  showselected =     0
% 0.42/1.07  showdeleted =      0
% 0.42/1.07  showresimp =       1
% 0.42/1.07  showstatus =       2000
% 0.42/1.07  
% 0.42/1.07  prologoutput =     0
% 0.42/1.07  nrgoals =          5000000
% 0.42/1.07  totalproof =       1
% 0.42/1.07  
% 0.42/1.07  Symbols occurring in the translation:
% 0.42/1.07  
% 0.42/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.07  .  [1, 2]      (w:1, o:31, a:1, s:1, b:0), 
% 0.42/1.07  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.42/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.07  cUnsatisfiable  [37, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.42/1.07  cowlNothing  [38, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.42/1.07  cowlThing  [39, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.42/1.07  cp1  [40, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.42/1.07  rf  [42, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.42/1.07  rinvF  [43, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 0.42/1.07  rinvR  [44, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.42/1.07  rr  [45, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.42/1.07  xsd_integer  [46, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.42/1.07  xsd_string  [47, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.42/1.07  i2003_11_14_17_19_49673  [52, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.42/1.07  alpha1  [53, 1]      (w:1, o:25, a:1, s:1, b:1), 
% 0.42/1.07  alpha2  [54, 1]      (w:1, o:26, a:1, s:1, b:1), 
% 0.42/1.07  alpha3  [55, 1]      (w:1, o:27, a:1, s:1, b:1), 
% 0.42/1.07  skol1  [56, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.42/1.07  skol2  [57, 1]      (w:1, o:29, a:1, s:1, b:1), 
% 0.42/1.07  skol3  [58, 1]      (w:1, o:30, a:1, s:1, b:1).
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Starting Search:
% 0.42/1.07  
% 0.42/1.07  *** allocated 15000 integers for clauses
% 0.42/1.07  *** allocated 22500 integers for clauses
% 0.42/1.07  
% 0.42/1.07  Bliksems!, er is een bewijs:
% 0.42/1.07  % SZS status Unsatisfiable
% 0.42/1.07  % SZS output start Refutation
% 0.42/1.07  
% 0.42/1.07  (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.42/1.07  (18) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), alpha1( skol1( Y ) )
% 0.42/1.07     }.
% 0.42/1.07  (19) {G0,W6,D3,L2,V1,M2} I { ! cUnsatisfiable( X ), rf( X, skol1( X ) ) }.
% 0.42/1.07  (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.42/1.07  (22) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), cp1( X ) }.
% 0.42/1.07  (24) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvF( X, Y ), alpha3( Y )
% 0.42/1.07     }.
% 0.42/1.07  (27) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol3( Y ) ) }.
% 0.42/1.07  (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X ) ) }.
% 0.42/1.07  (30) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.42/1.07  (32) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  (44) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.42/1.07  (45) {G2,W3,D3,L1,V1,M1} R(44,21) { alpha2( skol1( X ) ) }.
% 0.42/1.07  (46) {G2,W3,D3,L1,V1,M1} R(44,22) { cp1( skol1( X ) ) }.
% 0.42/1.07  (74) {G1,W6,D3,L2,V1,M2} R(19,32) { ! cUnsatisfiable( X ), rinvF( skol1( X
% 0.42/1.07     ), X ) }.
% 0.42/1.07  (77) {G1,W4,D3,L1,V0,M1} R(19,36) { rf( i2003_11_14_17_19_49673, skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  (83) {G2,W4,D3,L1,V0,M1} R(77,32) { rinvF( skol1( i2003_11_14_17_19_49673 )
% 0.42/1.07    , i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  (118) {G3,W4,D2,L2,V1,M2} R(24,74);r(45) { alpha3( X ), ! cUnsatisfiable( X
% 0.42/1.07     ) }.
% 0.42/1.07  (119) {G3,W2,D2,L1,V0,M1} R(24,83);r(45) { alpha3( i2003_11_14_17_19_49673
% 0.42/1.07     ) }.
% 0.42/1.07  (133) {G4,W4,D3,L1,V0,M1} R(119,28) { rf( i2003_11_14_17_19_49673, skol3( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  (135) {G4,W3,D3,L1,V1,M1} R(119,27) { ! cp1( skol3( X ) ) }.
% 0.42/1.07  (145) {G4,W6,D3,L2,V1,M2} R(118,28) { ! cUnsatisfiable( X ), rf( X, skol3( 
% 0.42/1.07    X ) ) }.
% 0.42/1.07  (249) {G5,W7,D3,L2,V1,M2} R(30,133) { ! rf( i2003_11_14_17_19_49673, X ), 
% 0.42/1.07    skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.42/1.07  (382) {G6,W5,D3,L1,V0,M1} R(249,77) { skol3( i2003_11_14_17_19_49673 ) ==> 
% 0.42/1.07    skol1( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  (389) {G7,W5,D2,L2,V1,M2} R(249,3);d(382);r(46) { ! rf( 
% 0.42/1.07    i2003_11_14_17_19_49673, X ), cp1( X ) }.
% 0.42/1.07  (415) {G8,W3,D2,L1,V1,M1} P(249,135);r(389) { ! rf( i2003_11_14_17_19_49673
% 0.42/1.07    , X ) }.
% 0.42/1.07  (417) {G9,W0,D0,L0,V0,M0} R(415,145);r(36) {  }.
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  % SZS output end Refutation
% 0.42/1.07  found a proof!
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Unprocessed initial clauses:
% 0.42/1.07  
% 0.42/1.07  (419) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cUnsatisfiable( Y ), cUnsatisfiable
% 0.42/1.07    ( X ) }.
% 0.42/1.07  (420) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlNothing( Y ), cowlNothing( X )
% 0.42/1.07     }.
% 0.42/1.07  (421) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cowlThing( Y ), cowlThing( X ) }.
% 0.42/1.07  (422) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.42/1.07  (423) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf( Z, Y ), rf( X, Y ) }.
% 0.42/1.07  (424) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rf( Y, Z ), rf( Y, X ) }.
% 0.42/1.07  (425) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvF( Z, Y ), rinvF( X, Y ) }.
% 0.42/1.07  (426) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvF( Y, Z ), rinvF( Y, X ) }.
% 0.42/1.07  (427) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvR( Z, Y ), rinvR( X, Y ) }.
% 0.42/1.07  (428) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rinvR( Y, Z ), rinvR( Y, X ) }.
% 0.42/1.07  (429) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Z, Y ), rr( X, Y ) }.
% 0.42/1.07  (430) {G0,W9,D2,L3,V3,M3}  { ! Z = X, ! rr( Y, Z ), rr( Y, X ) }.
% 0.42/1.07  (431) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_integer( Y ), xsd_integer( X )
% 0.42/1.07     }.
% 0.42/1.07  (432) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! xsd_string( Y ), xsd_string( X )
% 0.42/1.07     }.
% 0.42/1.07  (433) {G0,W2,D2,L1,V1,M1}  { cowlThing( X ) }.
% 0.42/1.07  (434) {G0,W2,D2,L1,V1,M1}  { ! cowlNothing( X ) }.
% 0.42/1.07  (435) {G0,W4,D2,L2,V1,M2}  { ! xsd_string( X ), ! xsd_integer( X ) }.
% 0.42/1.07  (436) {G0,W4,D2,L2,V1,M2}  { xsd_integer( X ), xsd_string( X ) }.
% 0.42/1.07  (437) {G0,W5,D3,L2,V2,M2}  { ! cUnsatisfiable( X ), alpha1( skol1( Y ) )
% 0.42/1.07     }.
% 0.42/1.07  (438) {G0,W6,D3,L2,V1,M2}  { ! cUnsatisfiable( X ), rf( X, skol1( X ) ) }.
% 0.42/1.07  (439) {G0,W7,D2,L3,V2,M3}  { ! rf( X, Y ), ! alpha1( Y ), cUnsatisfiable( X
% 0.42/1.07     ) }.
% 0.42/1.07  (440) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), alpha2( X ) }.
% 0.42/1.07  (441) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), cp1( X ) }.
% 0.42/1.07  (442) {G0,W6,D2,L3,V1,M3}  { ! alpha2( X ), ! cp1( X ), alpha1( X ) }.
% 0.42/1.07  (443) {G0,W7,D2,L3,V2,M3}  { ! alpha2( X ), ! rinvF( X, Y ), alpha3( Y )
% 0.42/1.07     }.
% 0.42/1.07  (444) {G0,W5,D3,L2,V2,M2}  { ! alpha3( skol2( Y ) ), alpha2( X ) }.
% 0.42/1.07  (445) {G0,W6,D3,L2,V1,M2}  { rinvF( X, skol2( X ) ), alpha2( X ) }.
% 0.42/1.07  (446) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), ! cp1( skol3( Y ) ) }.
% 0.42/1.07  (447) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rf( X, skol3( X ) ) }.
% 0.42/1.07  (448) {G0,W7,D2,L3,V2,M3}  { ! rf( X, Y ), cp1( Y ), alpha3( X ) }.
% 0.42/1.07  (449) {G0,W9,D2,L3,V3,M3}  { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.42/1.07  (450) {G0,W6,D2,L2,V2,M2}  { ! rinvF( X, Y ), rf( Y, X ) }.
% 0.42/1.07  (451) {G0,W6,D2,L2,V2,M2}  { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  (452) {G0,W6,D2,L2,V2,M2}  { ! rinvR( X, Y ), rr( Y, X ) }.
% 0.42/1.07  (453) {G0,W6,D2,L2,V2,M2}  { ! rr( Y, X ), rinvR( X, Y ) }.
% 0.42/1.07  (454) {G0,W9,D2,L3,V3,M3}  { ! rr( X, Z ), ! rr( Z, Y ), rr( X, Y ) }.
% 0.42/1.07  (455) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Total Proof:
% 0.42/1.07  
% 0.42/1.07  subsumption: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.42/1.07  parent0: (422) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07     Y := Y
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07     2 ==> 2
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (18) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), alpha1( 
% 0.42/1.07    skol1( Y ) ) }.
% 0.42/1.07  parent0: (437) {G0,W5,D3,L2,V2,M2}  { ! cUnsatisfiable( X ), alpha1( skol1
% 0.42/1.07    ( Y ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07     Y := Y
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (19) {G0,W6,D3,L2,V1,M2} I { ! cUnsatisfiable( X ), rf( X, 
% 0.42/1.07    skol1( X ) ) }.
% 0.42/1.07  parent0: (438) {G0,W6,D3,L2,V1,M2}  { ! cUnsatisfiable( X ), rf( X, skol1( 
% 0.42/1.07    X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.42/1.07  parent0: (440) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), alpha2( X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), cp1( X ) }.
% 0.42/1.07  parent0: (441) {G0,W4,D2,L2,V1,M2}  { ! alpha1( X ), cp1( X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (24) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvF( X, Y ), 
% 0.42/1.07    alpha3( Y ) }.
% 0.42/1.07  parent0: (443) {G0,W7,D2,L3,V2,M3}  { ! alpha2( X ), ! rinvF( X, Y ), 
% 0.42/1.07    alpha3( Y ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07     Y := Y
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07     2 ==> 2
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (27) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol3( Y )
% 0.42/1.07     ) }.
% 0.42/1.07  parent0: (446) {G0,W5,D3,L2,V2,M2}  { ! alpha3( X ), ! cp1( skol3( Y ) )
% 0.42/1.07     }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07     Y := Y
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X )
% 0.42/1.07     ) }.
% 0.42/1.07  parent0: (447) {G0,W6,D3,L2,V1,M2}  { ! alpha3( X ), rf( X, skol3( X ) )
% 0.42/1.07     }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (30) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 0.42/1.07     }.
% 0.42/1.07  parent0: (449) {G0,W9,D2,L3,V3,M3}  { ! rf( Z, X ), ! rf( Z, Y ), X = Y }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07     Y := Y
% 0.42/1.07     Z := Z
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07     2 ==> 2
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (32) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  parent0: (451) {G0,W6,D2,L2,V2,M2}  { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07     Y := Y
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0: (455) {G0,W2,D2,L1,V0,M1}  { cUnsatisfiable( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (604) {G1,W3,D3,L1,V1,M1}  { alpha1( skol1( X ) ) }.
% 0.42/1.07  parent0[0]: (18) {G0,W5,D3,L2,V2,M2} I { ! cUnsatisfiable( X ), alpha1( 
% 0.42/1.07    skol1( Y ) ) }.
% 0.42/1.07  parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := i2003_11_14_17_19_49673
% 0.42/1.07     Y := X
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (44) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.42/1.07  parent0: (604) {G1,W3,D3,L1,V1,M1}  { alpha1( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (605) {G1,W3,D3,L1,V1,M1}  { alpha2( skol1( X ) ) }.
% 0.42/1.07  parent0[0]: (21) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha2( X ) }.
% 0.42/1.07  parent1[0]: (44) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( X )
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (45) {G2,W3,D3,L1,V1,M1} R(44,21) { alpha2( skol1( X ) ) }.
% 0.42/1.07  parent0: (605) {G1,W3,D3,L1,V1,M1}  { alpha2( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (606) {G1,W3,D3,L1,V1,M1}  { cp1( skol1( X ) ) }.
% 0.42/1.07  parent0[0]: (22) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), cp1( X ) }.
% 0.42/1.07  parent1[0]: (44) {G1,W3,D3,L1,V1,M1} R(18,36) { alpha1( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( X )
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (46) {G2,W3,D3,L1,V1,M1} R(44,22) { cp1( skol1( X ) ) }.
% 0.42/1.07  parent0: (606) {G1,W3,D3,L1,V1,M1}  { cp1( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (607) {G1,W6,D3,L2,V1,M2}  { rinvF( skol1( X ), X ), ! 
% 0.42/1.07    cUnsatisfiable( X ) }.
% 0.42/1.07  parent0[0]: (32) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  parent1[1]: (19) {G0,W6,D3,L2,V1,M2} I { ! cUnsatisfiable( X ), rf( X, 
% 0.42/1.07    skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( X )
% 0.42/1.07     Y := X
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (74) {G1,W6,D3,L2,V1,M2} R(19,32) { ! cUnsatisfiable( X ), 
% 0.42/1.07    rinvF( skol1( X ), X ) }.
% 0.42/1.07  parent0: (607) {G1,W6,D3,L2,V1,M2}  { rinvF( skol1( X ), X ), ! 
% 0.42/1.07    cUnsatisfiable( X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 1
% 0.42/1.07     1 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (608) {G1,W4,D3,L1,V0,M1}  { rf( i2003_11_14_17_19_49673, skol1
% 0.42/1.07    ( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  parent0[0]: (19) {G0,W6,D3,L2,V1,M2} I { ! cUnsatisfiable( X ), rf( X, 
% 0.42/1.07    skol1( X ) ) }.
% 0.42/1.07  parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := i2003_11_14_17_19_49673
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (77) {G1,W4,D3,L1,V0,M1} R(19,36) { rf( 
% 0.42/1.07    i2003_11_14_17_19_49673, skol1( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  parent0: (608) {G1,W4,D3,L1,V0,M1}  { rf( i2003_11_14_17_19_49673, skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (609) {G1,W4,D3,L1,V0,M1}  { rinvF( skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ), i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0[0]: (32) {G0,W6,D2,L2,V2,M2} I { ! rf( Y, X ), rinvF( X, Y ) }.
% 0.42/1.07  parent1[0]: (77) {G1,W4,D3,L1,V0,M1} R(19,36) { rf( i2003_11_14_17_19_49673
% 0.42/1.07    , skol1( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( i2003_11_14_17_19_49673 )
% 0.42/1.07     Y := i2003_11_14_17_19_49673
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (83) {G2,W4,D3,L1,V0,M1} R(77,32) { rinvF( skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ), i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0: (609) {G1,W4,D3,L1,V0,M1}  { rinvF( skol1( i2003_11_14_17_19_49673
% 0.42/1.07     ), i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (610) {G1,W7,D3,L3,V1,M3}  { ! alpha2( skol1( X ) ), alpha3( X
% 0.42/1.07     ), ! cUnsatisfiable( X ) }.
% 0.42/1.07  parent0[1]: (24) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvF( X, Y ), 
% 0.42/1.07    alpha3( Y ) }.
% 0.42/1.07  parent1[1]: (74) {G1,W6,D3,L2,V1,M2} R(19,32) { ! cUnsatisfiable( X ), 
% 0.42/1.07    rinvF( skol1( X ), X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( X )
% 0.42/1.07     Y := X
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (611) {G2,W4,D2,L2,V1,M2}  { alpha3( X ), ! cUnsatisfiable( X )
% 0.42/1.07     }.
% 0.42/1.07  parent0[0]: (610) {G1,W7,D3,L3,V1,M3}  { ! alpha2( skol1( X ) ), alpha3( X
% 0.42/1.07     ), ! cUnsatisfiable( X ) }.
% 0.42/1.07  parent1[0]: (45) {G2,W3,D3,L1,V1,M1} R(44,21) { alpha2( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (118) {G3,W4,D2,L2,V1,M2} R(24,74);r(45) { alpha3( X ), ! 
% 0.42/1.07    cUnsatisfiable( X ) }.
% 0.42/1.07  parent0: (611) {G2,W4,D2,L2,V1,M2}  { alpha3( X ), ! cUnsatisfiable( X )
% 0.42/1.07     }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (612) {G1,W5,D3,L2,V0,M2}  { ! alpha2( skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ), alpha3( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0[1]: (24) {G0,W7,D2,L3,V2,M3} I { ! alpha2( X ), ! rinvF( X, Y ), 
% 0.42/1.07    alpha3( Y ) }.
% 0.42/1.07  parent1[0]: (83) {G2,W4,D3,L1,V0,M1} R(77,32) { rinvF( skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ), i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( i2003_11_14_17_19_49673 )
% 0.42/1.07     Y := i2003_11_14_17_19_49673
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (613) {G2,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_19_49673 )
% 0.42/1.07     }.
% 0.42/1.07  parent0[0]: (612) {G1,W5,D3,L2,V0,M2}  { ! alpha2( skol1( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ), alpha3( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent1[0]: (45) {G2,W3,D3,L1,V1,M1} R(44,21) { alpha2( skol1( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := i2003_11_14_17_19_49673
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (119) {G3,W2,D2,L1,V0,M1} R(24,83);r(45) { alpha3( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0: (613) {G2,W2,D2,L1,V0,M1}  { alpha3( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (614) {G1,W4,D3,L1,V0,M1}  { rf( i2003_11_14_17_19_49673, skol3
% 0.42/1.07    ( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  parent0[0]: (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X ) )
% 0.42/1.07     }.
% 0.42/1.07  parent1[0]: (119) {G3,W2,D2,L1,V0,M1} R(24,83);r(45) { alpha3( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := i2003_11_14_17_19_49673
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (133) {G4,W4,D3,L1,V0,M1} R(119,28) { rf( 
% 0.42/1.07    i2003_11_14_17_19_49673, skol3( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  parent0: (614) {G1,W4,D3,L1,V0,M1}  { rf( i2003_11_14_17_19_49673, skol3( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (615) {G1,W3,D3,L1,V1,M1}  { ! cp1( skol3( X ) ) }.
% 0.42/1.07  parent0[0]: (27) {G0,W5,D3,L2,V2,M2} I { ! alpha3( X ), ! cp1( skol3( Y ) )
% 0.42/1.07     }.
% 0.42/1.07  parent1[0]: (119) {G3,W2,D2,L1,V0,M1} R(24,83);r(45) { alpha3( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := i2003_11_14_17_19_49673
% 0.42/1.07     Y := X
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (135) {G4,W3,D3,L1,V1,M1} R(119,27) { ! cp1( skol3( X ) ) }.
% 0.42/1.07  parent0: (615) {G1,W3,D3,L1,V1,M1}  { ! cp1( skol3( X ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (616) {G1,W6,D3,L2,V1,M2}  { rf( X, skol3( X ) ), ! 
% 0.42/1.07    cUnsatisfiable( X ) }.
% 0.42/1.07  parent0[0]: (28) {G0,W6,D3,L2,V1,M2} I { ! alpha3( X ), rf( X, skol3( X ) )
% 0.42/1.07     }.
% 0.42/1.07  parent1[0]: (118) {G3,W4,D2,L2,V1,M2} R(24,74);r(45) { alpha3( X ), ! 
% 0.42/1.07    cUnsatisfiable( X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (145) {G4,W6,D3,L2,V1,M2} R(118,28) { ! cUnsatisfiable( X ), 
% 0.42/1.07    rf( X, skol3( X ) ) }.
% 0.42/1.07  parent0: (616) {G1,W6,D3,L2,V1,M2}  { rf( X, skol3( X ) ), ! cUnsatisfiable
% 0.42/1.07    ( X ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 1
% 0.42/1.07     1 ==> 0
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (617) {G1,W7,D3,L2,V1,M2}  { ! rf( i2003_11_14_17_19_49673, X )
% 0.42/1.07    , skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.42/1.07  parent0[0]: (30) {G0,W9,D2,L3,V3,M3} I { ! rf( Z, X ), ! rf( Z, Y ), X = Y
% 0.42/1.07     }.
% 0.42/1.07  parent1[0]: (133) {G4,W4,D3,L1,V0,M1} R(119,28) { rf( 
% 0.42/1.07    i2003_11_14_17_19_49673, skol3( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol3( i2003_11_14_17_19_49673 )
% 0.42/1.07     Y := X
% 0.42/1.07     Z := i2003_11_14_17_19_49673
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (249) {G5,W7,D3,L2,V1,M2} R(30,133) { ! rf( 
% 0.42/1.07    i2003_11_14_17_19_49673, X ), skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.42/1.07  parent0: (617) {G1,W7,D3,L2,V1,M2}  { ! rf( i2003_11_14_17_19_49673, X ), 
% 0.42/1.07    skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  permutation0:
% 0.42/1.07     0 ==> 0
% 0.42/1.07     1 ==> 1
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  eqswap: (619) {G5,W7,D3,L2,V1,M2}  { X = skol3( i2003_11_14_17_19_49673 ), 
% 0.42/1.07    ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.42/1.07  parent0[1]: (249) {G5,W7,D3,L2,V1,M2} R(30,133) { ! rf( 
% 0.42/1.07    i2003_11_14_17_19_49673, X ), skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := X
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  resolution: (620) {G2,W5,D3,L1,V0,M1}  { skol1( i2003_11_14_17_19_49673 ) =
% 0.42/1.07     skol3( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0[1]: (619) {G5,W7,D3,L2,V1,M2}  { X = skol3( i2003_11_14_17_19_49673
% 0.42/1.07     ), ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.42/1.07  parent1[0]: (77) {G1,W4,D3,L1,V0,M1} R(19,36) { rf( i2003_11_14_17_19_49673
% 0.42/1.07    , skol1( i2003_11_14_17_19_49673 ) ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07     X := skol1( i2003_11_14_17_19_49673 )
% 0.42/1.07  end
% 0.42/1.07  substitution1:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  eqswap: (621) {G2,W5,D3,L1,V0,M1}  { skol3( i2003_11_14_17_19_49673 ) = 
% 0.42/1.07    skol1( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0[0]: (620) {G2,W5,D3,L1,V0,M1}  { skol1( i2003_11_14_17_19_49673 ) =
% 0.42/1.07     skol3( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  substitution0:
% 0.42/1.07  end
% 0.42/1.07  
% 0.42/1.07  subsumption: (382) {G6,W5,D3,L1,V0,M1} R(249,77) { skol3( 
% 0.42/1.07    i2003_11_14_17_19_49673 ) ==> skol1( i2003_11_14_17_19_49673 ) }.
% 0.42/1.07  parent0: (621) {G2,W5,D3,L1,V0,M1}  { skol3( i2003_11_14_17_19_49673 ) = 
% 0.72/1.09    skol1( i2003_11_14_17_19_49673 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  eqswap: (622) {G5,W7,D3,L2,V1,M2}  { X = skol3( i2003_11_14_17_19_49673 ), 
% 0.72/1.09    ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent0[1]: (249) {G5,W7,D3,L2,V1,M2} R(30,133) { ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ), skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  eqswap: (623) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( X ), cp1( Y ) }.
% 0.72/1.09  parent0[0]: (3) {G0,W7,D2,L3,V2,M3} I { ! Y = X, ! cp1( Y ), cp1( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := Y
% 0.72/1.09     Y := X
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (625) {G1,W8,D3,L3,V1,M3}  { ! cp1( skol3( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) ), cp1( X ), ! rf( i2003_11_14_17_19_49673, X )
% 0.72/1.09     }.
% 0.72/1.09  parent0[0]: (623) {G0,W7,D2,L3,V2,M3}  { ! Y = X, ! cp1( X ), cp1( Y ) }.
% 0.72/1.09  parent1[0]: (622) {G5,W7,D3,L2,V1,M2}  { X = skol3( i2003_11_14_17_19_49673
% 0.72/1.09     ), ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol3( i2003_11_14_17_19_49673 )
% 0.72/1.09     Y := X
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  paramod: (626) {G2,W8,D3,L3,V1,M3}  { ! cp1( skol1( i2003_11_14_17_19_49673
% 0.72/1.09     ) ), cp1( X ), ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent0[0]: (382) {G6,W5,D3,L1,V0,M1} R(249,77) { skol3( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) ==> skol1( i2003_11_14_17_19_49673 ) }.
% 0.72/1.09  parent1[0; 2]: (625) {G1,W8,D3,L3,V1,M3}  { ! cp1( skol3( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) ), cp1( X ), ! rf( i2003_11_14_17_19_49673, X )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (627) {G3,W5,D2,L2,V1,M2}  { cp1( X ), ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent0[0]: (626) {G2,W8,D3,L3,V1,M3}  { ! cp1( skol1( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) ), cp1( X ), ! rf( i2003_11_14_17_19_49673, X )
% 0.72/1.09     }.
% 0.72/1.09  parent1[0]: (46) {G2,W3,D3,L1,V1,M1} R(44,22) { cp1( skol1( X ) ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := i2003_11_14_17_19_49673
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (389) {G7,W5,D2,L2,V1,M2} R(249,3);d(382);r(46) { ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ), cp1( X ) }.
% 0.72/1.09  parent0: (627) {G3,W5,D2,L2,V1,M2}  { cp1( X ), ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 1
% 0.72/1.09     1 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  *** allocated 33750 integers for clauses
% 0.72/1.09  *** allocated 15000 integers for termspace/termends
% 0.72/1.09  *** allocated 22500 integers for termspace/termends
% 0.72/1.09  paramod: (2018) {G5,W5,D2,L2,V1,M2}  { ! cp1( X ), ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent0[1]: (249) {G5,W7,D3,L2,V1,M2} R(30,133) { ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ), skol3( i2003_11_14_17_19_49673 ) = X }.
% 0.72/1.09  parent1[0; 2]: (135) {G4,W3,D3,L1,V1,M1} R(119,27) { ! cp1( skol3( X ) )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := i2003_11_14_17_19_49673
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (2019) {G6,W6,D2,L2,V1,M2}  { ! rf( i2003_11_14_17_19_49673, X
% 0.72/1.09     ), ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent0[0]: (2018) {G5,W5,D2,L2,V1,M2}  { ! cp1( X ), ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent1[1]: (389) {G7,W5,D2,L2,V1,M2} R(249,3);d(382);r(46) { ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ), cp1( X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  factor: (2020) {G6,W3,D2,L1,V1,M1}  { ! rf( i2003_11_14_17_19_49673, X )
% 0.72/1.09     }.
% 0.72/1.09  parent0[0, 1]: (2019) {G6,W6,D2,L2,V1,M2}  { ! rf( i2003_11_14_17_19_49673
% 0.72/1.09    , X ), ! rf( i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (415) {G8,W3,D2,L1,V1,M1} P(249,135);r(389) { ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent0: (2020) {G6,W3,D2,L1,V1,M1}  { ! rf( i2003_11_14_17_19_49673, X )
% 0.72/1.09     }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := X
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09     0 ==> 0
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (2021) {G5,W2,D2,L1,V0,M1}  { ! cUnsatisfiable( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) }.
% 0.72/1.09  parent0[0]: (415) {G8,W3,D2,L1,V1,M1} P(249,135);r(389) { ! rf( 
% 0.72/1.09    i2003_11_14_17_19_49673, X ) }.
% 0.72/1.09  parent1[1]: (145) {G4,W6,D3,L2,V1,M2} R(118,28) { ! cUnsatisfiable( X ), rf
% 0.72/1.09    ( X, skol3( X ) ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09     X := skol3( i2003_11_14_17_19_49673 )
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09     X := i2003_11_14_17_19_49673
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  resolution: (2022) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.09  parent0[0]: (2021) {G5,W2,D2,L1,V0,M1}  { ! cUnsatisfiable( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) }.
% 0.72/1.09  parent1[0]: (36) {G0,W2,D2,L1,V0,M1} I { cUnsatisfiable( 
% 0.72/1.09    i2003_11_14_17_19_49673 ) }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  substitution1:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  subsumption: (417) {G9,W0,D0,L0,V0,M0} R(415,145);r(36) {  }.
% 0.72/1.09  parent0: (2022) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.72/1.09  substitution0:
% 0.72/1.09  end
% 0.72/1.09  permutation0:
% 0.72/1.09  end
% 0.72/1.09  
% 0.72/1.09  Proof check complete!
% 0.72/1.09  
% 0.72/1.09  Memory use:
% 0.72/1.09  
% 0.72/1.09  space for terms:        5270
% 0.72/1.09  space for clauses:      16539
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  clauses generated:      1117
% 0.72/1.09  clauses kept:           418
% 0.72/1.09  clauses selected:       83
% 0.72/1.09  clauses deleted:        7
% 0.72/1.09  clauses inuse deleted:  0
% 0.72/1.09  
% 0.72/1.09  subsentry:          17274
% 0.72/1.09  literals s-matched: 10295
% 0.72/1.09  literals matched:   10291
% 0.72/1.09  full subsumption:   716
% 0.72/1.09  
% 0.72/1.09  checksum:           -256779760
% 0.72/1.09  
% 0.72/1.09  
% 0.72/1.09  Bliksem ended
%------------------------------------------------------------------------------