TSTP Solution File: LCL682+1.001 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.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 07:56:51 EDT 2022

% Result   : Theorem 0.71s 1.09s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n010.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 Jul  3 00:49:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  
% 0.71/1.09  { r1( X, X ) }.
% 0.71/1.09  { ! r1( X, Z ), ! r1( Z, Y ), r1( X, Y ) }.
% 0.71/1.09  { ! r1( skol1, X ), ! r1( X, Y ), p16( Y ) }.
% 0.71/1.09  { ! r1( skol1, X ), ! r1( X, Y ), p12( Y ) }.
% 0.71/1.09  { ! r1( skol1, X ), ! r1( X, Y ), p14( Y ) }.
% 0.71/1.09  { ! r1( skol1, X ), ! r1( X, Y ), p12( Y ) }.
% 0.71/1.09  { r1( skol1, skol2 ) }.
% 0.71/1.09  { r1( skol2, skol3 ) }.
% 0.71/1.09  { ! p15( skol3 ) }.
% 0.71/1.09  { r1( skol1, skol4 ) }.
% 0.71/1.09  { r1( skol4, skol5 ) }.
% 0.71/1.09  { ! p13( skol5 ) }.
% 0.71/1.09  { r1( skol1, skol6 ) }.
% 0.71/1.09  { r1( skol6, skol7 ) }.
% 0.71/1.09  { ! p12( skol7 ) }.
% 0.71/1.09  { r1( skol1, skol8 ) }.
% 0.71/1.09  { r1( skol8, skol9 ) }.
% 0.71/1.09  { ! p11( skol9 ) }.
% 0.71/1.09  
% 0.71/1.09  percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.09  This is a near-Horn, non-equality  problem
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Options Used:
% 0.71/1.09  
% 0.71/1.09  useres =            1
% 0.71/1.09  useparamod =        0
% 0.71/1.09  useeqrefl =         0
% 0.71/1.09  useeqfact =         0
% 0.71/1.09  usefactor =         1
% 0.71/1.09  usesimpsplitting =  0
% 0.71/1.09  usesimpdemod =      0
% 0.71/1.09  usesimpres =        4
% 0.71/1.09  
% 0.71/1.09  resimpinuse      =  1000
% 0.71/1.09  resimpclauses =     20000
% 0.71/1.09  substype =          standard
% 0.71/1.09  backwardsubs =      1
% 0.71/1.09  selectoldest =      5
% 0.71/1.09  
% 0.71/1.09  litorderings [0] =  split
% 0.71/1.09  litorderings [1] =  liftord
% 0.71/1.09  
% 0.71/1.09  termordering =      none
% 0.71/1.09  
% 0.71/1.09  litapriori =        1
% 0.71/1.09  termapriori =       0
% 0.71/1.09  litaposteriori =    0
% 0.71/1.09  termaposteriori =   0
% 0.71/1.09  demodaposteriori =  0
% 0.71/1.09  ordereqreflfact =   0
% 0.71/1.09  
% 0.71/1.09  litselect =         negative
% 0.71/1.09  
% 0.71/1.09  maxweight =         30000
% 0.71/1.09  maxdepth =          30000
% 0.71/1.09  maxlength =         115
% 0.71/1.09  maxnrvars =         195
% 0.71/1.09  excuselevel =       0
% 0.71/1.09  increasemaxweight = 0
% 0.71/1.09  
% 0.71/1.09  maxselected =       10000000
% 0.71/1.09  maxnrclauses =      10000000
% 0.71/1.09  
% 0.71/1.09  showgenerated =    0
% 0.71/1.09  showkept =         0
% 0.71/1.09  showselected =     0
% 0.71/1.09  showdeleted =      0
% 0.71/1.09  showresimp =       1
% 0.71/1.09  showstatus =       2000
% 0.71/1.09  
% 0.71/1.09  prologoutput =     0
% 0.71/1.09  nrgoals =          5000000
% 0.71/1.09  totalproof =       1
% 0.71/1.09  
% 0.71/1.09  Symbols occurring in the translation:
% 0.71/1.09  
% 0.71/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.09  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 0.71/1.09  !  [4, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.71/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  r1  [36, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.71/1.09  p16  [39, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.71/1.09  p12  [40, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.09  p14  [41, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.71/1.09  p15  [42, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.71/1.09  p13  [43, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.71/1.09  p11  [44, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.71/1.09  skol1  [45, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.09  skol2  [46, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.09  skol3  [47, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.71/1.09  skol4  [48, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.71/1.09  skol5  [49, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.71/1.09  skol6  [50, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.71/1.09  skol7  [51, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.09  skol8  [52, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.71/1.09  skol9  [53, 0]      (w:1, o:17, a:1, s:1, b:0).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Starting Search:
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksems!, er is een bewijs:
% 0.71/1.09  % SZS status Theorem
% 0.71/1.09  % SZS output start Refutation
% 0.71/1.09  
% 0.71/1.09  (3) {G0,W10,D2,L3,V2,M1} I { p12( Y ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.71/1.09  (11) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol6 ) }.
% 0.71/1.09  (12) {G0,W3,D2,L1,V0,M1} I { r1( skol6, skol7 ) }.
% 0.71/1.09  (13) {G0,W3,D2,L1,V0,M1} I { ! p12( skol7 ) }.
% 0.71/1.09  (30) {G1,W4,D2,L1,V0,M1} R(3,12);r(13) { ! r1( skol1, skol6 ) }.
% 0.71/1.09  (57) {G2,W0,D0,L0,V0,M0} S(30);r(11) {  }.
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  % SZS output end Refutation
% 0.71/1.09  found a proof!
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Unprocessed initial clauses:
% 0.71/1.09  
% 0.71/1.09  (59) {G0,W3,D2,L1,V1,M1}  { r1( X, X ) }.
% 0.71/1.09  (60) {G0,W11,D2,L3,V3,M3}  { ! r1( X, Z ), ! r1( Z, Y ), r1( X, Y ) }.
% 0.71/1.09  (61) {G0,W10,D2,L3,V2,M3}  { ! r1( skol1, X ), ! r1( X, Y ), p16( Y ) }.
% 0.71/1.09  (62) {G0,W10,D2,L3,V2,M3}  { ! r1( skol1, X ), ! r1( X, Y ), p12( Y ) }.
% 0.71/1.09  (63) {G0,W10,D2,L3,V2,M3}  { ! r1( skol1, X ), ! r1( X, Y ), p14( Y ) }.
% 0.71/1.09  (64) {G0,W10,D2,L3,V2,M3}  { ! r1( skol1, X ), ! r1( X, Y ), p12( Y ) }.
% 0.71/1.09  (65) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol2 ) }.
% 0.71/1.09  (66) {G0,W3,D2,L1,V0,M1}  { r1( skol2, skol3 ) }.
% 0.71/1.09  (67) {G0,W3,D2,L1,V0,M1}  { ! p15( skol3 ) }.
% 0.71/1.09  (68) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol4 ) }.
% 0.71/1.09  (69) {G0,W3,D2,L1,V0,M1}  { r1( skol4, skol5 ) }.
% 0.71/1.09  (70) {G0,W3,D2,L1,V0,M1}  { ! p13( skol5 ) }.
% 0.71/1.09  (71) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol6 ) }.
% 0.71/1.09  (72) {G0,W3,D2,L1,V0,M1}  { r1( skol6, skol7 ) }.
% 0.71/1.09  (73) {G0,W3,D2,L1,V0,M1}  { ! p12( skol7 ) }.
% 0.71/1.09  (74) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol8 ) }.
% 0.71/1.09  (75) {G0,W3,D2,L1,V0,M1}  { r1( skol8, skol9 ) }.
% 0.71/1.09  (76) {G0,W3,D2,L1,V0,M1}  { ! p11( skol9 ) }.
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Total Proof:
% 0.71/1.09  
% 0.71/1.09  subsumption: (3) {G0,W10,D2,L3,V2,M1} I { p12( Y ), ! r1( skol1, X ), ! r1
% 0.71/1.09    ( X, Y ) }.
% 0.71/1.09  parent0: (62) {G0,W10,D2,L3,V2,M3}  { ! r1( skol1, X ), ! r1( X, Y ), p12( 
% 0.71/1.09    Y ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09     X := X
% 0.71/1.09     Y := Y
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 2
% 0.71/1.09     2 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (11) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol6 ) }.
% 0.71/1.09  parent0: (71) {G0,W3,D2,L1,V0,M1}  { r1( skol1, skol6 ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (12) {G0,W3,D2,L1,V0,M1} I { r1( skol6, skol7 ) }.
% 0.71/1.09  parent0: (72) {G0,W3,D2,L1,V0,M1}  { r1( skol6, skol7 ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (13) {G0,W3,D2,L1,V0,M1} I { ! p12( skol7 ) }.
% 0.71/1.09  parent0: (73) {G0,W3,D2,L1,V0,M1}  { ! p12( skol7 ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (95) {G1,W6,D2,L2,V0,M2}  { p12( skol7 ), ! r1( skol1, skol6 )
% 0.71/1.09     }.
% 0.71/1.09  parent0[2]: (3) {G0,W10,D2,L3,V2,M1} I { p12( Y ), ! r1( skol1, X ), ! r1( 
% 0.71/1.09    X, Y ) }.
% 0.71/1.09  parent1[0]: (12) {G0,W3,D2,L1,V0,M1} I { r1( skol6, skol7 ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09     X := skol6
% 0.71/1.09     Y := skol7
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (96) {G1,W4,D2,L1,V0,M1}  { ! r1( skol1, skol6 ) }.
% 0.71/1.09  parent0[0]: (13) {G0,W3,D2,L1,V0,M1} I { ! p12( skol7 ) }.
% 0.71/1.09  parent1[0]: (95) {G1,W6,D2,L2,V0,M2}  { p12( skol7 ), ! r1( skol1, skol6 )
% 0.71/1.09     }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (30) {G1,W4,D2,L1,V0,M1} R(3,12);r(13) { ! r1( skol1, skol6 )
% 0.71/1.09     }.
% 0.71/1.09  parent0: (96) {G1,W4,D2,L1,V0,M1}  { ! r1( skol1, skol6 ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (97) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.09  parent0[0]: (30) {G1,W4,D2,L1,V0,M1} R(3,12);r(13) { ! r1( skol1, skol6 )
% 0.71/1.09     }.
% 0.71/1.09  parent1[0]: (11) {G0,W3,D2,L1,V0,M1} I { r1( skol1, skol6 ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (57) {G2,W0,D0,L0,V0,M0} S(30);r(11) {  }.
% 0.71/1.09  parent0: (97) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  Proof check complete!
% 0.71/1.09  
% 0.71/1.09  Memory use:
% 0.71/1.09  
% 0.71/1.09  space for terms:        504
% 0.71/1.09  space for clauses:      2613
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  clauses generated:      66
% 0.71/1.09  clauses kept:           58
% 0.71/1.09  clauses selected:       46
% 0.71/1.09  clauses deleted:        1
% 0.71/1.09  clauses inuse deleted:  0
% 0.71/1.09  
% 0.71/1.09  subsentry:          20
% 0.71/1.09  literals s-matched: 6
% 0.71/1.09  literals matched:   6
% 0.71/1.09  full subsumption:   1
% 0.71/1.09  
% 0.71/1.09  checksum:           1314404414
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksem ended
%------------------------------------------------------------------------------