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Bliksem---1.12.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 02:58:18 EDT 2022

% Result   : Theorem 0.44s 1.08s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jul 11 12:04:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.08  *** allocated 10000 integers for termspace/termends
% 0.44/1.08  *** allocated 10000 integers for clauses
% 0.44/1.08  *** allocated 10000 integers for justifications
% 0.44/1.08  Bliksem 1.12
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Automatic Strategy Selection
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Clauses:
% 0.44/1.08  
% 0.44/1.08  { p( skol1 ) }.
% 0.44/1.08  { e( skol1 ) }.
% 0.44/1.08  { ! e( X ), g( X ), s( X, f( X ) ) }.
% 0.44/1.08  { ! e( X ), g( X ), c( f( X ) ) }.
% 0.44/1.08  { ! s( skol1, X ), p( X ) }.
% 0.44/1.08  { ! p( X ), ! g( X ) }.
% 0.44/1.08  { ! p( X ), ! c( X ) }.
% 0.44/1.08  
% 0.44/1.08  percentage equality = 0.000000, percentage horn = 0.714286
% 0.44/1.08  This a non-horn, non-equality problem
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Options Used:
% 0.44/1.08  
% 0.44/1.08  useres =            1
% 0.44/1.08  useparamod =        0
% 0.44/1.08  useeqrefl =         0
% 0.44/1.08  useeqfact =         0
% 0.44/1.08  usefactor =         1
% 0.44/1.08  usesimpsplitting =  0
% 0.44/1.08  usesimpdemod =      0
% 0.44/1.08  usesimpres =        3
% 0.44/1.08  
% 0.44/1.08  resimpinuse      =  1000
% 0.44/1.08  resimpclauses =     20000
% 0.44/1.08  substype =          standard
% 0.44/1.08  backwardsubs =      1
% 0.44/1.08  selectoldest =      5
% 0.44/1.08  
% 0.44/1.08  litorderings [0] =  split
% 0.44/1.08  litorderings [1] =  liftord
% 0.44/1.08  
% 0.44/1.08  termordering =      none
% 0.44/1.08  
% 0.44/1.08  litapriori =        1
% 0.44/1.08  termapriori =       0
% 0.44/1.08  litaposteriori =    0
% 0.44/1.08  termaposteriori =   0
% 0.44/1.08  demodaposteriori =  0
% 0.44/1.08  ordereqreflfact =   0
% 0.44/1.08  
% 0.44/1.08  litselect =         none
% 0.44/1.08  
% 0.44/1.08  maxweight =         15
% 0.44/1.08  maxdepth =          30000
% 0.44/1.08  maxlength =         115
% 0.44/1.08  maxnrvars =         195
% 0.44/1.08  excuselevel =       1
% 0.44/1.08  increasemaxweight = 1
% 0.44/1.08  
% 0.44/1.08  maxselected =       10000000
% 0.44/1.08  maxnrclauses =      10000000
% 0.44/1.08  
% 0.44/1.08  showgenerated =    0
% 0.44/1.08  showkept =         0
% 0.44/1.08  showselected =     0
% 0.44/1.08  showdeleted =      0
% 0.44/1.08  showresimp =       1
% 0.44/1.08  showstatus =       2000
% 0.44/1.08  
% 0.44/1.08  prologoutput =     0
% 0.44/1.08  nrgoals =          5000000
% 0.44/1.08  totalproof =       1
% 0.44/1.08  
% 0.44/1.08  Symbols occurring in the translation:
% 0.44/1.08  
% 0.44/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.08  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.44/1.08  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.44/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.08  p  [41, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.44/1.08  e  [42, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.44/1.08  g  [43, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/1.08  f  [44, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/1.08  s  [45, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.44/1.08  c  [46, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.44/1.08  skol1  [47, 0]      (w:1, o:12, a:1, s:1, b:0).
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Starting Search:
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Bliksems!, er is een bewijs:
% 0.44/1.08  % SZS status Theorem
% 0.44/1.08  % SZS output start Refutation
% 0.44/1.08  
% 0.44/1.08  (0) {G0,W2,D2,L1,V0,M1} I { p( skol1 ) }.
% 0.44/1.08  (1) {G0,W2,D2,L1,V0,M1} I { e( skol1 ) }.
% 0.44/1.08  (2) {G0,W8,D3,L3,V1,M1} I { ! e( X ), g( X ), s( X, f( X ) ) }.
% 0.44/1.08  (3) {G0,W7,D3,L3,V1,M1} I { ! e( X ), g( X ), c( f( X ) ) }.
% 0.44/1.08  (4) {G0,W5,D2,L2,V1,M1} I { p( X ), ! s( skol1, X ) }.
% 0.44/1.08  (5) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! g( X ) }.
% 0.44/1.08  (6) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! c( X ) }.
% 0.44/1.08  (7) {G1,W5,D3,L2,V0,M1} R(2,4);r(1) { p( f( skol1 ) ), g( skol1 ) }.
% 0.44/1.08  (8) {G2,W3,D3,L1,V0,M1} R(7,5);r(0) { p( f( skol1 ) ) }.
% 0.44/1.08  (9) {G1,W7,D3,L3,V1,M1} R(3,6) { ! e( X ), ! p( f( X ) ), g( X ) }.
% 0.44/1.08  (10) {G2,W7,D3,L3,V1,M1} R(9,5) { ! p( f( X ) ), ! p( X ), ! e( X ) }.
% 0.44/1.08  (11) {G3,W2,D2,L1,V0,M1} R(10,1);r(8) { ! p( skol1 ) }.
% 0.44/1.08  (12) {G4,W0,D0,L0,V0,M0} S(11);r(0) {  }.
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  % SZS output end Refutation
% 0.44/1.08  found a proof!
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Unprocessed initial clauses:
% 0.44/1.08  
% 0.44/1.08  (14) {G0,W2,D2,L1,V0,M1}  { p( skol1 ) }.
% 0.44/1.08  (15) {G0,W2,D2,L1,V0,M1}  { e( skol1 ) }.
% 0.44/1.08  (16) {G0,W8,D3,L3,V1,M3}  { ! e( X ), g( X ), s( X, f( X ) ) }.
% 0.44/1.08  (17) {G0,W7,D3,L3,V1,M3}  { ! e( X ), g( X ), c( f( X ) ) }.
% 0.44/1.08  (18) {G0,W5,D2,L2,V1,M2}  { ! s( skol1, X ), p( X ) }.
% 0.44/1.08  (19) {G0,W4,D2,L2,V1,M2}  { ! p( X ), ! g( X ) }.
% 0.44/1.08  (20) {G0,W4,D2,L2,V1,M2}  { ! p( X ), ! c( X ) }.
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Total Proof:
% 0.44/1.08  
% 0.44/1.08  subsumption: (0) {G0,W2,D2,L1,V0,M1} I { p( skol1 ) }.
% 0.44/1.08  parent0: (14) {G0,W2,D2,L1,V0,M1}  { p( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (1) {G0,W2,D2,L1,V0,M1} I { e( skol1 ) }.
% 0.44/1.08  parent0: (15) {G0,W2,D2,L1,V0,M1}  { e( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (2) {G0,W8,D3,L3,V1,M1} I { ! e( X ), g( X ), s( X, f( X ) )
% 0.44/1.08     }.
% 0.44/1.08  parent0: (16) {G0,W8,D3,L3,V1,M3}  { ! e( X ), g( X ), s( X, f( X ) ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08     2 ==> 2
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (3) {G0,W7,D3,L3,V1,M1} I { ! e( X ), g( X ), c( f( X ) ) }.
% 0.44/1.08  parent0: (17) {G0,W7,D3,L3,V1,M3}  { ! e( X ), g( X ), c( f( X ) ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08     2 ==> 2
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (4) {G0,W5,D2,L2,V1,M1} I { p( X ), ! s( skol1, X ) }.
% 0.44/1.08  parent0: (18) {G0,W5,D2,L2,V1,M2}  { ! s( skol1, X ), p( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (5) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! g( X ) }.
% 0.44/1.08  parent0: (19) {G0,W4,D2,L2,V1,M2}  { ! p( X ), ! g( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (6) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! c( X ) }.
% 0.44/1.08  parent0: (20) {G0,W4,D2,L2,V1,M2}  { ! p( X ), ! c( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (21) {G1,W7,D3,L3,V0,M3}  { p( f( skol1 ) ), ! e( skol1 ), g( 
% 0.44/1.08    skol1 ) }.
% 0.44/1.08  parent0[1]: (4) {G0,W5,D2,L2,V1,M1} I { p( X ), ! s( skol1, X ) }.
% 0.44/1.08  parent1[2]: (2) {G0,W8,D3,L3,V1,M1} I { ! e( X ), g( X ), s( X, f( X ) )
% 0.44/1.08     }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := f( skol1 )
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (22) {G1,W5,D3,L2,V0,M2}  { p( f( skol1 ) ), g( skol1 ) }.
% 0.44/1.08  parent0[1]: (21) {G1,W7,D3,L3,V0,M3}  { p( f( skol1 ) ), ! e( skol1 ), g( 
% 0.44/1.08    skol1 ) }.
% 0.44/1.08  parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { e( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (7) {G1,W5,D3,L2,V0,M1} R(2,4);r(1) { p( f( skol1 ) ), g( 
% 0.44/1.08    skol1 ) }.
% 0.44/1.08  parent0: (22) {G1,W5,D3,L2,V0,M2}  { p( f( skol1 ) ), g( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08     1 ==> 1
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (24) {G1,W5,D3,L2,V0,M2}  { ! p( skol1 ), p( f( skol1 ) ) }.
% 0.44/1.08  parent0[1]: (5) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! g( X ) }.
% 0.44/1.08  parent1[1]: (7) {G1,W5,D3,L2,V0,M1} R(2,4);r(1) { p( f( skol1 ) ), g( skol1
% 0.44/1.08     ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (25) {G1,W3,D3,L1,V0,M1}  { p( f( skol1 ) ) }.
% 0.44/1.08  parent0[0]: (24) {G1,W5,D3,L2,V0,M2}  { ! p( skol1 ), p( f( skol1 ) ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V0,M1} I { p( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (8) {G2,W3,D3,L1,V0,M1} R(7,5);r(0) { p( f( skol1 ) ) }.
% 0.44/1.08  parent0: (25) {G1,W3,D3,L1,V0,M1}  { p( f( skol1 ) ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (26) {G1,W7,D3,L3,V1,M3}  { ! p( f( X ) ), ! e( X ), g( X ) }.
% 0.44/1.08  parent0[1]: (6) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! c( X ) }.
% 0.44/1.08  parent1[2]: (3) {G0,W7,D3,L3,V1,M1} I { ! e( X ), g( X ), c( f( X ) ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := f( X )
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (9) {G1,W7,D3,L3,V1,M1} R(3,6) { ! e( X ), ! p( f( X ) ), g( X
% 0.44/1.08     ) }.
% 0.44/1.08  parent0: (26) {G1,W7,D3,L3,V1,M3}  { ! p( f( X ) ), ! e( X ), g( X ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 0
% 0.44/1.08     2 ==> 2
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (27) {G1,W7,D3,L3,V1,M3}  { ! p( X ), ! e( X ), ! p( f( X ) )
% 0.44/1.08     }.
% 0.44/1.08  parent0[1]: (5) {G0,W4,D2,L2,V1,M1} I { ! p( X ), ! g( X ) }.
% 0.44/1.08  parent1[2]: (9) {G1,W7,D3,L3,V1,M1} R(3,6) { ! e( X ), ! p( f( X ) ), g( X
% 0.44/1.08     ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (10) {G2,W7,D3,L3,V1,M1} R(9,5) { ! p( f( X ) ), ! p( X ), ! e
% 0.44/1.08    ( X ) }.
% 0.44/1.08  parent0: (27) {G1,W7,D3,L3,V1,M3}  { ! p( X ), ! e( X ), ! p( f( X ) ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := X
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 1
% 0.44/1.08     1 ==> 2
% 0.44/1.08     2 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (28) {G1,W5,D3,L2,V0,M2}  { ! p( f( skol1 ) ), ! p( skol1 ) }.
% 0.44/1.08  parent0[2]: (10) {G2,W7,D3,L3,V1,M1} R(9,5) { ! p( f( X ) ), ! p( X ), ! e
% 0.44/1.08    ( X ) }.
% 0.44/1.08  parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { e( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08     X := skol1
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (29) {G2,W2,D2,L1,V0,M1}  { ! p( skol1 ) }.
% 0.44/1.08  parent0[0]: (28) {G1,W5,D3,L2,V0,M2}  { ! p( f( skol1 ) ), ! p( skol1 ) }.
% 0.44/1.08  parent1[0]: (8) {G2,W3,D3,L1,V0,M1} R(7,5);r(0) { p( f( skol1 ) ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (11) {G3,W2,D2,L1,V0,M1} R(10,1);r(8) { ! p( skol1 ) }.
% 0.44/1.08  parent0: (29) {G2,W2,D2,L1,V0,M1}  { ! p( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08     0 ==> 0
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  resolution: (30) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.44/1.08  parent0[0]: (11) {G3,W2,D2,L1,V0,M1} R(10,1);r(8) { ! p( skol1 ) }.
% 0.44/1.08  parent1[0]: (0) {G0,W2,D2,L1,V0,M1} I { p( skol1 ) }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  substitution1:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  subsumption: (12) {G4,W0,D0,L0,V0,M0} S(11);r(0) {  }.
% 0.44/1.08  parent0: (30) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.44/1.08  substitution0:
% 0.44/1.08  end
% 0.44/1.08  permutation0:
% 0.44/1.08  end
% 0.44/1.08  
% 0.44/1.08  Proof check complete!
% 0.44/1.08  
% 0.44/1.08  Memory use:
% 0.44/1.08  
% 0.44/1.08  space for terms:        188
% 0.44/1.08  space for clauses:      716
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  clauses generated:      13
% 0.44/1.08  clauses kept:           13
% 0.44/1.08  clauses selected:       11
% 0.44/1.08  clauses deleted:        1
% 0.44/1.08  clauses inuse deleted:  0
% 0.44/1.08  
% 0.44/1.08  subsentry:          1
% 0.44/1.08  literals s-matched: 0
% 0.44/1.08  literals matched:   0
% 0.44/1.08  full subsumption:   0
% 0.44/1.08  
% 0.44/1.08  checksum:           -18268610
% 0.44/1.08  
% 0.44/1.08  
% 0.44/1.08  Bliksem ended
%------------------------------------------------------------------------------