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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 17:58:33 EDT 2022

% Result   : Theorem 0.68s 1.06s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % 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 : Sun May 29 00:02:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/1.06  *** allocated 10000 integers for termspace/termends
% 0.68/1.06  *** allocated 10000 integers for clauses
% 0.68/1.06  *** allocated 10000 integers for justifications
% 0.68/1.06  Bliksem 1.12
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Automatic Strategy Selection
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Clauses:
% 0.68/1.06  
% 0.68/1.06  { parent_of( iokaste, oedipus ) }.
% 0.68/1.06  { parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  { parent_of( oedipus, polyneikes ) }.
% 0.68/1.06  { parent_of( polyneikes, thersandros ) }.
% 0.68/1.06  { patricide( oedipus ) }.
% 0.68/1.06  { ! patricide( thersandros ) }.
% 0.68/1.06  { ! parent_of( iokaste, X ), ! patricide( X ), ! parent_of( X, Y ), 
% 0.68/1.06    patricide( Y ) }.
% 0.68/1.06  
% 0.68/1.06  percentage equality = 0.000000, percentage horn = 1.000000
% 0.68/1.06  This is a near-Horn, non-equality  problem
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Options Used:
% 0.68/1.06  
% 0.68/1.06  useres =            1
% 0.68/1.06  useparamod =        0
% 0.68/1.06  useeqrefl =         0
% 0.68/1.06  useeqfact =         0
% 0.68/1.06  usefactor =         1
% 0.68/1.06  usesimpsplitting =  0
% 0.68/1.06  usesimpdemod =      0
% 0.68/1.06  usesimpres =        4
% 0.68/1.06  
% 0.68/1.06  resimpinuse      =  1000
% 0.68/1.06  resimpclauses =     20000
% 0.68/1.06  substype =          standard
% 0.68/1.06  backwardsubs =      1
% 0.68/1.06  selectoldest =      5
% 0.68/1.06  
% 0.68/1.06  litorderings [0] =  split
% 0.68/1.06  litorderings [1] =  liftord
% 0.68/1.06  
% 0.68/1.06  termordering =      none
% 0.68/1.06  
% 0.68/1.06  litapriori =        1
% 0.68/1.06  termapriori =       0
% 0.68/1.06  litaposteriori =    0
% 0.68/1.06  termaposteriori =   0
% 0.68/1.06  demodaposteriori =  0
% 0.68/1.06  ordereqreflfact =   0
% 0.68/1.06  
% 0.68/1.06  litselect =         negative
% 0.68/1.06  
% 0.68/1.06  maxweight =         30000
% 0.68/1.06  maxdepth =          30000
% 0.68/1.06  maxlength =         115
% 0.68/1.06  maxnrvars =         195
% 0.68/1.06  excuselevel =       0
% 0.68/1.06  increasemaxweight = 0
% 0.68/1.06  
% 0.68/1.06  maxselected =       10000000
% 0.68/1.06  maxnrclauses =      10000000
% 0.68/1.06  
% 0.68/1.06  showgenerated =    0
% 0.68/1.06  showkept =         0
% 0.68/1.06  showselected =     0
% 0.68/1.06  showdeleted =      0
% 0.68/1.06  showresimp =       1
% 0.68/1.06  showstatus =       2000
% 0.68/1.06  
% 0.68/1.06  prologoutput =     0
% 0.68/1.06  nrgoals =          5000000
% 0.68/1.06  totalproof =       1
% 0.68/1.06  
% 0.68/1.06  Symbols occurring in the translation:
% 0.68/1.06  
% 0.68/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.68/1.06  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 0.68/1.06  !  [4, 1]      (w:1, o:12, a:1, s:1, b:0), 
% 0.68/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.06  iokaste  [35, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.68/1.06  oedipus  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.68/1.06  parent_of  [37, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.68/1.06  polyneikes  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.68/1.06  thersandros  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.68/1.06  patricide  [40, 1]      (w:1, o:17, a:1, s:1, b:0).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Starting Search:
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Bliksems!, er is een bewijs:
% 0.68/1.06  % SZS status Theorem
% 0.68/1.06  % SZS output start Refutation
% 0.68/1.06  
% 0.68/1.06  (0) {G0,W3,D2,L1,V0,M1} I { parent_of( iokaste, oedipus ) }.
% 0.68/1.06  (1) {G0,W3,D2,L1,V0,M1} I { parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  (2) {G0,W3,D2,L1,V0,M1} I { parent_of( oedipus, polyneikes ) }.
% 0.68/1.06  (3) {G0,W3,D2,L1,V0,M1} I { parent_of( polyneikes, thersandros ) }.
% 0.68/1.06  (4) {G0,W2,D2,L1,V0,M1} I { patricide( oedipus ) }.
% 0.68/1.06  (5) {G0,W3,D2,L1,V0,M1} I { ! patricide( thersandros ) }.
% 0.68/1.06  (6) {G0,W13,D2,L4,V2,M1} I { ! patricide( X ), patricide( Y ), ! parent_of
% 0.68/1.06    ( iokaste, X ), ! parent_of( X, Y ) }.
% 0.68/1.06  (8) {G1,W6,D2,L2,V0,M1} R(6,2);r(4) { patricide( polyneikes ), ! parent_of
% 0.68/1.06    ( iokaste, oedipus ) }.
% 0.68/1.06  (9) {G1,W7,D2,L2,V0,M1} R(6,3);r(5) { ! patricide( polyneikes ), ! 
% 0.68/1.06    parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  (10) {G2,W2,D2,L1,V0,M1} S(8);r(0) { patricide( polyneikes ) }.
% 0.68/1.06  (11) {G3,W0,D0,L0,V0,M0} S(9);r(10);r(1) {  }.
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  % SZS output end Refutation
% 0.68/1.06  found a proof!
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Unprocessed initial clauses:
% 0.68/1.06  
% 0.68/1.06  (13) {G0,W3,D2,L1,V0,M1}  { parent_of( iokaste, oedipus ) }.
% 0.68/1.06  (14) {G0,W3,D2,L1,V0,M1}  { parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  (15) {G0,W3,D2,L1,V0,M1}  { parent_of( oedipus, polyneikes ) }.
% 0.68/1.06  (16) {G0,W3,D2,L1,V0,M1}  { parent_of( polyneikes, thersandros ) }.
% 0.68/1.06  (17) {G0,W2,D2,L1,V0,M1}  { patricide( oedipus ) }.
% 0.68/1.06  (18) {G0,W3,D2,L1,V0,M1}  { ! patricide( thersandros ) }.
% 0.68/1.06  (19) {G0,W13,D2,L4,V2,M4}  { ! parent_of( iokaste, X ), ! patricide( X ), !
% 0.68/1.06     parent_of( X, Y ), patricide( Y ) }.
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Total Proof:
% 0.68/1.06  
% 0.68/1.06  subsumption: (0) {G0,W3,D2,L1,V0,M1} I { parent_of( iokaste, oedipus ) }.
% 0.68/1.06  parent0: (13) {G0,W3,D2,L1,V0,M1}  { parent_of( iokaste, oedipus ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (1) {G0,W3,D2,L1,V0,M1} I { parent_of( iokaste, polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  parent0: (14) {G0,W3,D2,L1,V0,M1}  { parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (2) {G0,W3,D2,L1,V0,M1} I { parent_of( oedipus, polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  parent0: (15) {G0,W3,D2,L1,V0,M1}  { parent_of( oedipus, polyneikes ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (3) {G0,W3,D2,L1,V0,M1} I { parent_of( polyneikes, thersandros
% 0.68/1.06     ) }.
% 0.68/1.06  parent0: (16) {G0,W3,D2,L1,V0,M1}  { parent_of( polyneikes, thersandros )
% 0.68/1.06     }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (4) {G0,W2,D2,L1,V0,M1} I { patricide( oedipus ) }.
% 0.68/1.06  parent0: (17) {G0,W2,D2,L1,V0,M1}  { patricide( oedipus ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (5) {G0,W3,D2,L1,V0,M1} I { ! patricide( thersandros ) }.
% 0.68/1.06  parent0: (18) {G0,W3,D2,L1,V0,M1}  { ! patricide( thersandros ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (6) {G0,W13,D2,L4,V2,M1} I { ! patricide( X ), patricide( Y )
% 0.68/1.06    , ! parent_of( iokaste, X ), ! parent_of( X, Y ) }.
% 0.68/1.06  parent0: (19) {G0,W13,D2,L4,V2,M4}  { ! parent_of( iokaste, X ), ! 
% 0.68/1.06    patricide( X ), ! parent_of( X, Y ), patricide( Y ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06     X := X
% 0.68/1.06     Y := Y
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 2
% 0.68/1.06     1 ==> 0
% 0.68/1.06     2 ==> 3
% 0.68/1.06     3 ==> 1
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (21) {G1,W9,D2,L3,V0,M3}  { ! patricide( oedipus ), patricide( 
% 0.68/1.06    polyneikes ), ! parent_of( iokaste, oedipus ) }.
% 0.68/1.06  parent0[3]: (6) {G0,W13,D2,L4,V2,M1} I { ! patricide( X ), patricide( Y ), 
% 0.68/1.06    ! parent_of( iokaste, X ), ! parent_of( X, Y ) }.
% 0.68/1.06  parent1[0]: (2) {G0,W3,D2,L1,V0,M1} I { parent_of( oedipus, polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  substitution0:
% 0.68/1.06     X := oedipus
% 0.68/1.06     Y := polyneikes
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (22) {G1,W6,D2,L2,V0,M2}  { patricide( polyneikes ), ! 
% 0.68/1.06    parent_of( iokaste, oedipus ) }.
% 0.68/1.06  parent0[0]: (21) {G1,W9,D2,L3,V0,M3}  { ! patricide( oedipus ), patricide( 
% 0.68/1.06    polyneikes ), ! parent_of( iokaste, oedipus ) }.
% 0.68/1.06  parent1[0]: (4) {G0,W2,D2,L1,V0,M1} I { patricide( oedipus ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (8) {G1,W6,D2,L2,V0,M1} R(6,2);r(4) { patricide( polyneikes )
% 0.68/1.06    , ! parent_of( iokaste, oedipus ) }.
% 0.68/1.06  parent0: (22) {G1,W6,D2,L2,V0,M2}  { patricide( polyneikes ), ! parent_of( 
% 0.68/1.06    iokaste, oedipus ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06     1 ==> 1
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (23) {G1,W9,D2,L3,V0,M3}  { ! patricide( polyneikes ), 
% 0.68/1.06    patricide( thersandros ), ! parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  parent0[3]: (6) {G0,W13,D2,L4,V2,M1} I { ! patricide( X ), patricide( Y ), 
% 0.68/1.06    ! parent_of( iokaste, X ), ! parent_of( X, Y ) }.
% 0.68/1.06  parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { parent_of( polyneikes, thersandros
% 0.68/1.06     ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06     X := polyneikes
% 0.68/1.06     Y := thersandros
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (24) {G1,W7,D2,L2,V0,M2}  { ! patricide( polyneikes ), ! 
% 0.68/1.06    parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  parent0[0]: (5) {G0,W3,D2,L1,V0,M1} I { ! patricide( thersandros ) }.
% 0.68/1.06  parent1[1]: (23) {G1,W9,D2,L3,V0,M3}  { ! patricide( polyneikes ), 
% 0.68/1.06    patricide( thersandros ), ! parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (9) {G1,W7,D2,L2,V0,M1} R(6,3);r(5) { ! patricide( polyneikes
% 0.68/1.06     ), ! parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  parent0: (24) {G1,W7,D2,L2,V0,M2}  { ! patricide( polyneikes ), ! parent_of
% 0.68/1.06    ( iokaste, polyneikes ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06     1 ==> 1
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (25) {G1,W2,D2,L1,V0,M1}  { patricide( polyneikes ) }.
% 0.68/1.06  parent0[1]: (8) {G1,W6,D2,L2,V0,M1} R(6,2);r(4) { patricide( polyneikes ), 
% 0.68/1.06    ! parent_of( iokaste, oedipus ) }.
% 0.68/1.06  parent1[0]: (0) {G0,W3,D2,L1,V0,M1} I { parent_of( iokaste, oedipus ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (10) {G2,W2,D2,L1,V0,M1} S(8);r(0) { patricide( polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  parent0: (25) {G1,W2,D2,L1,V0,M1}  { patricide( polyneikes ) }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06     0 ==> 0
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (26) {G2,W4,D2,L1,V0,M1}  { ! parent_of( iokaste, polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  parent0[0]: (9) {G1,W7,D2,L2,V0,M1} R(6,3);r(5) { ! patricide( polyneikes )
% 0.68/1.06    , ! parent_of( iokaste, polyneikes ) }.
% 0.68/1.06  parent1[0]: (10) {G2,W2,D2,L1,V0,M1} S(8);r(0) { patricide( polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  resolution: (27) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.68/1.06  parent0[0]: (26) {G2,W4,D2,L1,V0,M1}  { ! parent_of( iokaste, polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { parent_of( iokaste, polyneikes )
% 0.68/1.06     }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  substitution1:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  subsumption: (11) {G3,W0,D0,L0,V0,M0} S(9);r(10);r(1) {  }.
% 0.68/1.06  parent0: (27) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.68/1.06  substitution0:
% 0.68/1.06  end
% 0.68/1.06  permutation0:
% 0.68/1.06  end
% 0.68/1.06  
% 0.68/1.06  Proof check complete!
% 0.68/1.06  
% 0.68/1.06  Memory use:
% 0.68/1.06  
% 0.68/1.06  space for terms:        142
% 0.68/1.06  space for clauses:      577
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  clauses generated:      14
% 0.68/1.06  clauses kept:           12
% 0.68/1.06  clauses selected:       8
% 0.68/1.06  clauses deleted:        2
% 0.68/1.06  clauses inuse deleted:  0
% 0.68/1.06  
% 0.68/1.06  subsentry:          2
% 0.68/1.06  literals s-matched: 1
% 0.68/1.06  literals matched:   1
% 0.68/1.06  full subsumption:   0
% 0.68/1.06  
% 0.68/1.06  checksum:           -839740
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Bliksem ended
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