TSTP Solution File: PUZ130+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 : Mon Jul 18 17:58:33 EDT 2022

% Result   : Theorem 0.43s 0.85s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.08  % Command  : bliksem %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % DateTime : Sat May 28 22:50:56 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.43/0.85  *** allocated 10000 integers for termspace/termends
% 0.43/0.85  *** allocated 10000 integers for clauses
% 0.43/0.85  *** allocated 10000 integers for justifications
% 0.43/0.85  Bliksem 1.12
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Automatic Strategy Selection
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Clauses:
% 0.43/0.85  
% 0.43/0.85  { cat( skol1 ) }.
% 0.43/0.85  { cat( garfield ) }.
% 0.43/0.85  { dog( skol2 ) }.
% 0.43/0.85  { dog( odie ) }.
% 0.43/0.85  { pet( skol3 ) }.
% 0.43/0.85  { ! dog( X ), pet( X ) }.
% 0.43/0.85  { ! cat( X ), pet( X ) }.
% 0.43/0.85  { human( skol4 ) }.
% 0.43/0.85  { human( jon ) }.
% 0.43/0.85  { ! pet( X ), human( owner_of( X ) ) }.
% 0.43/0.85  { ! pet( X ), human( skol5( Y ) ) }.
% 0.43/0.85  { ! pet( X ), owner( X, skol5( X ) ) }.
% 0.43/0.85  { owner( jon, odie ) }.
% 0.43/0.85  { owner( jon, garfield ) }.
% 0.43/0.85  { cat( skol6 ), X = garfield }.
% 0.43/0.85  { ! owner( jon, skol6 ), X = garfield }.
% 0.43/0.85  { dog( skol7 ), X = odie }.
% 0.43/0.85  { ! owner( jon, skol7 ), X = odie }.
% 0.43/0.85  { ! cat( X ), ! dog( Y ), ! chased( Y, X ), hates( owner_of( X ), owner_of
% 0.43/0.85    ( Y ) ) }.
% 0.43/0.85  { ! human( X ), ! pet( Y ), ! owner( X, Y ), X = owner_of( Y ) }.
% 0.43/0.85  { ! human( X ), ! pet( Y ), ! X = owner_of( Y ), owner( X, Y ) }.
% 0.43/0.85  { chased( odie, garfield ) }.
% 0.43/0.85  { ! hates( jon, jon ) }.
% 0.43/0.85  
% 0.43/0.85  percentage equality = 0.146341, percentage horn = 0.913043
% 0.43/0.85  This is a problem with some equality
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Options Used:
% 0.43/0.85  
% 0.43/0.85  useres =            1
% 0.43/0.85  useparamod =        1
% 0.43/0.85  useeqrefl =         1
% 0.43/0.85  useeqfact =         1
% 0.43/0.85  usefactor =         1
% 0.43/0.85  usesimpsplitting =  0
% 0.43/0.85  usesimpdemod =      5
% 0.43/0.85  usesimpres =        3
% 0.43/0.85  
% 0.43/0.85  resimpinuse      =  1000
% 0.43/0.85  resimpclauses =     20000
% 0.43/0.85  substype =          eqrewr
% 0.43/0.85  backwardsubs =      1
% 0.43/0.85  selectoldest =      5
% 0.43/0.85  
% 0.43/0.85  litorderings [0] =  split
% 0.43/0.85  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/0.85  
% 0.43/0.85  termordering =      kbo
% 0.43/0.85  
% 0.43/0.85  litapriori =        0
% 0.43/0.85  termapriori =       1
% 0.43/0.85  litaposteriori =    0
% 0.43/0.85  termaposteriori =   0
% 0.43/0.85  demodaposteriori =  0
% 0.43/0.85  ordereqreflfact =   0
% 0.43/0.85  
% 0.43/0.85  litselect =         negord
% 0.43/0.85  
% 0.43/0.85  maxweight =         15
% 0.43/0.85  maxdepth =          30000
% 0.43/0.85  maxlength =         115
% 0.43/0.85  maxnrvars =         195
% 0.43/0.85  excuselevel =       1
% 0.43/0.85  increasemaxweight = 1
% 0.43/0.85  
% 0.43/0.85  maxselected =       10000000
% 0.43/0.85  maxnrclauses =      10000000
% 0.43/0.85  
% 0.43/0.85  showgenerated =    0
% 0.43/0.85  showkept =         0
% 0.43/0.85  showselected =     0
% 0.43/0.85  showdeleted =      0
% 0.43/0.85  showresimp =       1
% 0.43/0.85  showstatus =       2000
% 0.43/0.85  
% 0.43/0.85  prologoutput =     0
% 0.43/0.85  nrgoals =          5000000
% 0.43/0.85  totalproof =       1
% 0.43/0.85  
% 0.43/0.85  Symbols occurring in the translation:
% 0.43/0.85  
% 0.43/0.85  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/0.85  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 0.43/0.85  !  [4, 1]      (w:0, o:18, a:1, s:1, b:0), 
% 0.43/0.85  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/0.85  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/0.85  cat  [36, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.43/0.85  garfield  [37, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.43/0.85  dog  [38, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.43/0.85  odie  [39, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.43/0.85  pet  [40, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.43/0.85  human  [41, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.43/0.85  jon  [42, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.43/0.85  owner_of  [43, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.43/0.85  owner  [46, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.43/0.85  chased  [47, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.43/0.85  hates  [48, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 0.43/0.85  skol1  [49, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 0.43/0.85  skol2  [50, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 0.43/0.85  skol3  [51, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 0.43/0.85  skol4  [52, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 0.43/0.85  skol5  [53, 1]      (w:1, o:28, a:1, s:1, b:1), 
% 0.43/0.85  skol6  [54, 0]      (w:1, o:16, a:1, s:1, b:1), 
% 0.43/0.85  skol7  [55, 0]      (w:1, o:17, a:1, s:1, b:1).
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Starting Search:
% 0.43/0.85  
% 0.43/0.85  *** allocated 15000 integers for clauses
% 0.43/0.85  *** allocated 22500 integers for clauses
% 0.43/0.85  
% 0.43/0.85  Bliksems!, er is een bewijs:
% 0.43/0.85  % SZS status Theorem
% 0.43/0.85  % SZS output start Refutation
% 0.43/0.85  
% 0.43/0.85  (1) {G0,W2,D2,L1,V0,M1} I { cat( garfield ) }.
% 0.43/0.85  (3) {G0,W2,D2,L1,V0,M1} I { dog( odie ) }.
% 0.43/0.85  (5) {G0,W4,D2,L2,V1,M2} I { ! dog( X ), pet( X ) }.
% 0.43/0.85  (6) {G0,W4,D2,L2,V1,M2} I { ! cat( X ), pet( X ) }.
% 0.43/0.85  (8) {G0,W2,D2,L1,V0,M1} I { human( jon ) }.
% 0.43/0.85  (12) {G0,W3,D2,L1,V0,M1} I { owner( jon, odie ) }.
% 0.43/0.85  (13) {G0,W3,D2,L1,V0,M1} I { owner( jon, garfield ) }.
% 0.43/0.85  (18) {G0,W12,D3,L4,V2,M4} I { ! cat( X ), ! dog( Y ), ! chased( Y, X ), 
% 0.43/0.85    hates( owner_of( X ), owner_of( Y ) ) }.
% 0.43/0.85  (19) {G0,W11,D3,L4,V2,M4} I { ! human( X ), ! pet( Y ), ! owner( X, Y ), X 
% 0.43/0.85    = owner_of( Y ) }.
% 0.43/0.85  (21) {G0,W3,D2,L1,V0,M1} I { chased( odie, garfield ) }.
% 0.43/0.85  (22) {G0,W3,D2,L1,V0,M1} I { ! hates( jon, jon ) }.
% 0.43/0.85  (25) {G1,W2,D2,L1,V0,M1} R(5,3) { pet( odie ) }.
% 0.43/0.85  (26) {G1,W2,D2,L1,V0,M1} R(6,1) { pet( garfield ) }.
% 0.43/0.85  (130) {G1,W7,D3,L2,V0,M2} R(18,21);r(1) { ! dog( odie ), hates( owner_of( 
% 0.43/0.85    garfield ), owner_of( odie ) ) }.
% 0.43/0.85  (164) {G1,W6,D3,L2,V0,M2} R(19,12);r(8) { ! pet( odie ), owner_of( odie ) 
% 0.43/0.85    ==> jon }.
% 0.43/0.85  (168) {G1,W6,D3,L2,V0,M2} R(19,13);r(8) { ! pet( garfield ), owner_of( 
% 0.43/0.85    garfield ) ==> jon }.
% 0.43/0.85  (350) {G2,W4,D3,L1,V0,M1} S(164);r(25) { owner_of( odie ) ==> jon }.
% 0.43/0.85  (356) {G2,W4,D3,L1,V0,M1} S(168);r(26) { owner_of( garfield ) ==> jon }.
% 0.43/0.85  (362) {G3,W3,D2,L1,V0,M1} S(130);d(356);d(350);r(3) { hates( jon, jon ) }.
% 0.43/0.85  (363) {G4,W0,D0,L0,V0,M0} S(362);r(22) {  }.
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  % SZS output end Refutation
% 0.43/0.85  found a proof!
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Unprocessed initial clauses:
% 0.43/0.85  
% 0.43/0.85  (365) {G0,W2,D2,L1,V0,M1}  { cat( skol1 ) }.
% 0.43/0.85  (366) {G0,W2,D2,L1,V0,M1}  { cat( garfield ) }.
% 0.43/0.85  (367) {G0,W2,D2,L1,V0,M1}  { dog( skol2 ) }.
% 0.43/0.85  (368) {G0,W2,D2,L1,V0,M1}  { dog( odie ) }.
% 0.43/0.85  (369) {G0,W2,D2,L1,V0,M1}  { pet( skol3 ) }.
% 0.43/0.85  (370) {G0,W4,D2,L2,V1,M2}  { ! dog( X ), pet( X ) }.
% 0.43/0.85  (371) {G0,W4,D2,L2,V1,M2}  { ! cat( X ), pet( X ) }.
% 0.43/0.85  (372) {G0,W2,D2,L1,V0,M1}  { human( skol4 ) }.
% 0.43/0.85  (373) {G0,W2,D2,L1,V0,M1}  { human( jon ) }.
% 0.43/0.85  (374) {G0,W5,D3,L2,V1,M2}  { ! pet( X ), human( owner_of( X ) ) }.
% 0.43/0.85  (375) {G0,W5,D3,L2,V2,M2}  { ! pet( X ), human( skol5( Y ) ) }.
% 0.43/0.85  (376) {G0,W6,D3,L2,V1,M2}  { ! pet( X ), owner( X, skol5( X ) ) }.
% 0.43/0.85  (377) {G0,W3,D2,L1,V0,M1}  { owner( jon, odie ) }.
% 0.43/0.85  (378) {G0,W3,D2,L1,V0,M1}  { owner( jon, garfield ) }.
% 0.43/0.85  (379) {G0,W5,D2,L2,V1,M2}  { cat( skol6 ), X = garfield }.
% 0.43/0.85  (380) {G0,W6,D2,L2,V1,M2}  { ! owner( jon, skol6 ), X = garfield }.
% 0.43/0.85  (381) {G0,W5,D2,L2,V1,M2}  { dog( skol7 ), X = odie }.
% 0.43/0.85  (382) {G0,W6,D2,L2,V1,M2}  { ! owner( jon, skol7 ), X = odie }.
% 0.43/0.85  (383) {G0,W12,D3,L4,V2,M4}  { ! cat( X ), ! dog( Y ), ! chased( Y, X ), 
% 0.43/0.85    hates( owner_of( X ), owner_of( Y ) ) }.
% 0.43/0.85  (384) {G0,W11,D3,L4,V2,M4}  { ! human( X ), ! pet( Y ), ! owner( X, Y ), X 
% 0.43/0.85    = owner_of( Y ) }.
% 0.43/0.85  (385) {G0,W11,D3,L4,V2,M4}  { ! human( X ), ! pet( Y ), ! X = owner_of( Y )
% 0.43/0.85    , owner( X, Y ) }.
% 0.43/0.85  (386) {G0,W3,D2,L1,V0,M1}  { chased( odie, garfield ) }.
% 0.43/0.85  (387) {G0,W3,D2,L1,V0,M1}  { ! hates( jon, jon ) }.
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Total Proof:
% 0.43/0.85  
% 0.43/0.85  subsumption: (1) {G0,W2,D2,L1,V0,M1} I { cat( garfield ) }.
% 0.43/0.85  parent0: (366) {G0,W2,D2,L1,V0,M1}  { cat( garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (3) {G0,W2,D2,L1,V0,M1} I { dog( odie ) }.
% 0.43/0.85  parent0: (368) {G0,W2,D2,L1,V0,M1}  { dog( odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (5) {G0,W4,D2,L2,V1,M2} I { ! dog( X ), pet( X ) }.
% 0.43/0.85  parent0: (370) {G0,W4,D2,L2,V1,M2}  { ! dog( X ), pet( X ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := X
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85     1 ==> 1
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (6) {G0,W4,D2,L2,V1,M2} I { ! cat( X ), pet( X ) }.
% 0.43/0.85  parent0: (371) {G0,W4,D2,L2,V1,M2}  { ! cat( X ), pet( X ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := X
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85     1 ==> 1
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (8) {G0,W2,D2,L1,V0,M1} I { human( jon ) }.
% 0.43/0.85  parent0: (373) {G0,W2,D2,L1,V0,M1}  { human( jon ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (12) {G0,W3,D2,L1,V0,M1} I { owner( jon, odie ) }.
% 0.43/0.85  parent0: (377) {G0,W3,D2,L1,V0,M1}  { owner( jon, odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (13) {G0,W3,D2,L1,V0,M1} I { owner( jon, garfield ) }.
% 0.43/0.85  parent0: (378) {G0,W3,D2,L1,V0,M1}  { owner( jon, garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (18) {G0,W12,D3,L4,V2,M4} I { ! cat( X ), ! dog( Y ), ! chased
% 0.43/0.85    ( Y, X ), hates( owner_of( X ), owner_of( Y ) ) }.
% 0.43/0.85  parent0: (383) {G0,W12,D3,L4,V2,M4}  { ! cat( X ), ! dog( Y ), ! chased( Y
% 0.43/0.85    , X ), hates( owner_of( X ), owner_of( Y ) ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := X
% 0.43/0.85     Y := Y
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85     1 ==> 1
% 0.43/0.85     2 ==> 2
% 0.43/0.85     3 ==> 3
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (19) {G0,W11,D3,L4,V2,M4} I { ! human( X ), ! pet( Y ), ! 
% 0.43/0.85    owner( X, Y ), X = owner_of( Y ) }.
% 0.43/0.85  parent0: (384) {G0,W11,D3,L4,V2,M4}  { ! human( X ), ! pet( Y ), ! owner( X
% 0.43/0.85    , Y ), X = owner_of( Y ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := X
% 0.43/0.85     Y := Y
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85     1 ==> 1
% 0.43/0.85     2 ==> 2
% 0.43/0.85     3 ==> 3
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (21) {G0,W3,D2,L1,V0,M1} I { chased( odie, garfield ) }.
% 0.43/0.85  parent0: (386) {G0,W3,D2,L1,V0,M1}  { chased( odie, garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (22) {G0,W3,D2,L1,V0,M1} I { ! hates( jon, jon ) }.
% 0.43/0.85  parent0: (387) {G0,W3,D2,L1,V0,M1}  { ! hates( jon, jon ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (409) {G1,W2,D2,L1,V0,M1}  { pet( odie ) }.
% 0.43/0.85  parent0[0]: (5) {G0,W4,D2,L2,V1,M2} I { ! dog( X ), pet( X ) }.
% 0.43/0.85  parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { dog( odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := odie
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (25) {G1,W2,D2,L1,V0,M1} R(5,3) { pet( odie ) }.
% 0.43/0.85  parent0: (409) {G1,W2,D2,L1,V0,M1}  { pet( odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (410) {G1,W2,D2,L1,V0,M1}  { pet( garfield ) }.
% 0.43/0.85  parent0[0]: (6) {G0,W4,D2,L2,V1,M2} I { ! cat( X ), pet( X ) }.
% 0.43/0.85  parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { cat( garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := garfield
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (26) {G1,W2,D2,L1,V0,M1} R(6,1) { pet( garfield ) }.
% 0.43/0.85  parent0: (410) {G1,W2,D2,L1,V0,M1}  { pet( garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (411) {G1,W9,D3,L3,V0,M3}  { ! cat( garfield ), ! dog( odie ), 
% 0.43/0.85    hates( owner_of( garfield ), owner_of( odie ) ) }.
% 0.43/0.85  parent0[2]: (18) {G0,W12,D3,L4,V2,M4} I { ! cat( X ), ! dog( Y ), ! chased
% 0.43/0.85    ( Y, X ), hates( owner_of( X ), owner_of( Y ) ) }.
% 0.43/0.85  parent1[0]: (21) {G0,W3,D2,L1,V0,M1} I { chased( odie, garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := garfield
% 0.43/0.85     Y := odie
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (412) {G1,W7,D3,L2,V0,M2}  { ! dog( odie ), hates( owner_of( 
% 0.43/0.85    garfield ), owner_of( odie ) ) }.
% 0.43/0.85  parent0[0]: (411) {G1,W9,D3,L3,V0,M3}  { ! cat( garfield ), ! dog( odie ), 
% 0.43/0.85    hates( owner_of( garfield ), owner_of( odie ) ) }.
% 0.43/0.85  parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { cat( garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (130) {G1,W7,D3,L2,V0,M2} R(18,21);r(1) { ! dog( odie ), hates
% 0.43/0.85    ( owner_of( garfield ), owner_of( odie ) ) }.
% 0.43/0.85  parent0: (412) {G1,W7,D3,L2,V0,M2}  { ! dog( odie ), hates( owner_of( 
% 0.43/0.85    garfield ), owner_of( odie ) ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85     1 ==> 1
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  eqswap: (413) {G0,W11,D3,L4,V2,M4}  { owner_of( Y ) = X, ! human( X ), ! 
% 0.43/0.85    pet( Y ), ! owner( X, Y ) }.
% 0.43/0.85  parent0[3]: (19) {G0,W11,D3,L4,V2,M4} I { ! human( X ), ! pet( Y ), ! owner
% 0.43/0.85    ( X, Y ), X = owner_of( Y ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := X
% 0.43/0.85     Y := Y
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (414) {G1,W8,D3,L3,V0,M3}  { owner_of( odie ) = jon, ! human( 
% 0.43/0.85    jon ), ! pet( odie ) }.
% 0.43/0.85  parent0[3]: (413) {G0,W11,D3,L4,V2,M4}  { owner_of( Y ) = X, ! human( X ), 
% 0.43/0.85    ! pet( Y ), ! owner( X, Y ) }.
% 0.43/0.85  parent1[0]: (12) {G0,W3,D2,L1,V0,M1} I { owner( jon, odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := jon
% 0.43/0.85     Y := odie
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (415) {G1,W6,D3,L2,V0,M2}  { owner_of( odie ) = jon, ! pet( 
% 0.43/0.85    odie ) }.
% 0.43/0.85  parent0[1]: (414) {G1,W8,D3,L3,V0,M3}  { owner_of( odie ) = jon, ! human( 
% 0.43/0.85    jon ), ! pet( odie ) }.
% 0.43/0.85  parent1[0]: (8) {G0,W2,D2,L1,V0,M1} I { human( jon ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (164) {G1,W6,D3,L2,V0,M2} R(19,12);r(8) { ! pet( odie ), 
% 0.43/0.85    owner_of( odie ) ==> jon }.
% 0.43/0.85  parent0: (415) {G1,W6,D3,L2,V0,M2}  { owner_of( odie ) = jon, ! pet( odie )
% 0.43/0.85     }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 1
% 0.43/0.85     1 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  eqswap: (417) {G0,W11,D3,L4,V2,M4}  { owner_of( Y ) = X, ! human( X ), ! 
% 0.43/0.85    pet( Y ), ! owner( X, Y ) }.
% 0.43/0.85  parent0[3]: (19) {G0,W11,D3,L4,V2,M4} I { ! human( X ), ! pet( Y ), ! owner
% 0.43/0.85    ( X, Y ), X = owner_of( Y ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := X
% 0.43/0.85     Y := Y
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (418) {G1,W8,D3,L3,V0,M3}  { owner_of( garfield ) = jon, ! 
% 0.43/0.85    human( jon ), ! pet( garfield ) }.
% 0.43/0.85  parent0[3]: (417) {G0,W11,D3,L4,V2,M4}  { owner_of( Y ) = X, ! human( X ), 
% 0.43/0.85    ! pet( Y ), ! owner( X, Y ) }.
% 0.43/0.85  parent1[0]: (13) {G0,W3,D2,L1,V0,M1} I { owner( jon, garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85     X := jon
% 0.43/0.85     Y := garfield
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (419) {G1,W6,D3,L2,V0,M2}  { owner_of( garfield ) = jon, ! pet
% 0.43/0.85    ( garfield ) }.
% 0.43/0.85  parent0[1]: (418) {G1,W8,D3,L3,V0,M3}  { owner_of( garfield ) = jon, ! 
% 0.43/0.85    human( jon ), ! pet( garfield ) }.
% 0.43/0.85  parent1[0]: (8) {G0,W2,D2,L1,V0,M1} I { human( jon ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (168) {G1,W6,D3,L2,V0,M2} R(19,13);r(8) { ! pet( garfield ), 
% 0.43/0.85    owner_of( garfield ) ==> jon }.
% 0.43/0.85  parent0: (419) {G1,W6,D3,L2,V0,M2}  { owner_of( garfield ) = jon, ! pet( 
% 0.43/0.85    garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 1
% 0.43/0.85     1 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (422) {G2,W4,D3,L1,V0,M1}  { owner_of( odie ) ==> jon }.
% 0.43/0.85  parent0[0]: (164) {G1,W6,D3,L2,V0,M2} R(19,12);r(8) { ! pet( odie ), 
% 0.43/0.85    owner_of( odie ) ==> jon }.
% 0.43/0.85  parent1[0]: (25) {G1,W2,D2,L1,V0,M1} R(5,3) { pet( odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (350) {G2,W4,D3,L1,V0,M1} S(164);r(25) { owner_of( odie ) ==> 
% 0.43/0.85    jon }.
% 0.43/0.85  parent0: (422) {G2,W4,D3,L1,V0,M1}  { owner_of( odie ) ==> jon }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (425) {G2,W4,D3,L1,V0,M1}  { owner_of( garfield ) ==> jon }.
% 0.43/0.85  parent0[0]: (168) {G1,W6,D3,L2,V0,M2} R(19,13);r(8) { ! pet( garfield ), 
% 0.43/0.85    owner_of( garfield ) ==> jon }.
% 0.43/0.85  parent1[0]: (26) {G1,W2,D2,L1,V0,M1} R(6,1) { pet( garfield ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (356) {G2,W4,D3,L1,V0,M1} S(168);r(26) { owner_of( garfield ) 
% 0.43/0.85    ==> jon }.
% 0.43/0.85  parent0: (425) {G2,W4,D3,L1,V0,M1}  { owner_of( garfield ) ==> jon }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  paramod: (429) {G2,W6,D3,L2,V0,M2}  { hates( jon, owner_of( odie ) ), ! dog
% 0.43/0.85    ( odie ) }.
% 0.43/0.85  parent0[0]: (356) {G2,W4,D3,L1,V0,M1} S(168);r(26) { owner_of( garfield ) 
% 0.43/0.85    ==> jon }.
% 0.43/0.85  parent1[1; 1]: (130) {G1,W7,D3,L2,V0,M2} R(18,21);r(1) { ! dog( odie ), 
% 0.43/0.85    hates( owner_of( garfield ), owner_of( odie ) ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  paramod: (430) {G3,W5,D2,L2,V0,M2}  { hates( jon, jon ), ! dog( odie ) }.
% 0.43/0.85  parent0[0]: (350) {G2,W4,D3,L1,V0,M1} S(164);r(25) { owner_of( odie ) ==> 
% 0.43/0.85    jon }.
% 0.43/0.85  parent1[0; 2]: (429) {G2,W6,D3,L2,V0,M2}  { hates( jon, owner_of( odie ) )
% 0.43/0.85    , ! dog( odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (431) {G1,W3,D2,L1,V0,M1}  { hates( jon, jon ) }.
% 0.43/0.85  parent0[1]: (430) {G3,W5,D2,L2,V0,M2}  { hates( jon, jon ), ! dog( odie )
% 0.43/0.85     }.
% 0.43/0.85  parent1[0]: (3) {G0,W2,D2,L1,V0,M1} I { dog( odie ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (362) {G3,W3,D2,L1,V0,M1} S(130);d(356);d(350);r(3) { hates( 
% 0.43/0.85    jon, jon ) }.
% 0.43/0.85  parent0: (431) {G1,W3,D2,L1,V0,M1}  { hates( jon, jon ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85     0 ==> 0
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  resolution: (432) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.43/0.85  parent0[0]: (22) {G0,W3,D2,L1,V0,M1} I { ! hates( jon, jon ) }.
% 0.43/0.85  parent1[0]: (362) {G3,W3,D2,L1,V0,M1} S(130);d(356);d(350);r(3) { hates( 
% 0.43/0.85    jon, jon ) }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  substitution1:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  subsumption: (363) {G4,W0,D0,L0,V0,M0} S(362);r(22) {  }.
% 0.43/0.85  parent0: (432) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.43/0.85  substitution0:
% 0.43/0.85  end
% 0.43/0.85  permutation0:
% 0.43/0.85  end
% 0.43/0.85  
% 0.43/0.85  Proof check complete!
% 0.43/0.85  
% 0.43/0.85  Memory use:
% 0.43/0.85  
% 0.43/0.85  space for terms:        3931
% 0.43/0.85  space for clauses:      16860
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  clauses generated:      1699
% 0.43/0.85  clauses kept:           364
% 0.43/0.85  clauses selected:       80
% 0.43/0.85  clauses deleted:        84
% 0.43/0.85  clauses inuse deleted:  0
% 0.43/0.85  
% 0.43/0.85  subsentry:          1795
% 0.43/0.85  literals s-matched: 1485
% 0.43/0.85  literals matched:   1485
% 0.43/0.85  full subsumption:   18
% 0.43/0.85  
% 0.43/0.85  checksum:           -1220283446
% 0.43/0.85  
% 0.43/0.85  
% 0.43/0.85  Bliksem ended
%------------------------------------------------------------------------------