TSTP Solution File: SET913+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET913+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 22:53:18 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  : SET913+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n009.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 : Sat Jul  9 23:08:22 EDT 2022
% 0.12/0.35  % 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  { ! disjoint( X, Y ), disjoint( Y, X ) }.
% 0.71/1.09  { ! in( X, Y ), ! in( Y, X ) }.
% 0.71/1.09  { empty( skol1 ) }.
% 0.71/1.09  { ! empty( skol2 ) }.
% 0.71/1.09  { disjoint( singleton( skol3 ), skol4 ) }.
% 0.71/1.09  { in( skol3, skol4 ) }.
% 0.71/1.09  { ! disjoint( singleton( X ), Y ), ! in( X, Y ) }.
% 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:19, a:1, s:1, b:0), 
% 0.71/1.09  !  [4, 1]      (w:1, o:12, 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  disjoint  [37, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.71/1.09  in  [38, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.71/1.09  empty  [39, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.09  singleton  [40, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.71/1.09  skol1  [41, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.71/1.09  skol2  [42, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.09  skol3  [43, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.09  skol4  [44, 0]      (w:1, o:11, 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  (4) {G0,W4,D3,L1,V0,M1} I { disjoint( singleton( skol3 ), skol4 ) }.
% 0.71/1.09  (5) {G0,W3,D2,L1,V0,M1} I { in( skol3, skol4 ) }.
% 0.71/1.09  (6) {G0,W9,D3,L2,V2,M1} I { ! in( X, Y ), ! disjoint( singleton( X ), Y )
% 0.71/1.09     }.
% 0.71/1.09  (10) {G1,W0,D0,L0,V0,M0} R(6,4);r(5) {  }.
% 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  (12) {G0,W7,D2,L2,V2,M2}  { ! disjoint( X, Y ), disjoint( Y, X ) }.
% 0.71/1.09  (13) {G0,W8,D2,L2,V2,M2}  { ! in( X, Y ), ! in( Y, X ) }.
% 0.71/1.09  (14) {G0,W2,D2,L1,V0,M1}  { empty( skol1 ) }.
% 0.71/1.09  (15) {G0,W3,D2,L1,V0,M1}  { ! empty( skol2 ) }.
% 0.71/1.09  (16) {G0,W4,D3,L1,V0,M1}  { disjoint( singleton( skol3 ), skol4 ) }.
% 0.71/1.09  (17) {G0,W3,D2,L1,V0,M1}  { in( skol3, skol4 ) }.
% 0.71/1.09  (18) {G0,W9,D3,L2,V2,M2}  { ! disjoint( singleton( X ), Y ), ! in( X, Y )
% 0.71/1.09     }.
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Total Proof:
% 0.71/1.09  
% 0.71/1.09  subsumption: (4) {G0,W4,D3,L1,V0,M1} I { disjoint( singleton( skol3 ), 
% 0.71/1.09    skol4 ) }.
% 0.71/1.09  parent0: (16) {G0,W4,D3,L1,V0,M1}  { disjoint( singleton( skol3 ), skol4 )
% 0.71/1.09     }.
% 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: (5) {G0,W3,D2,L1,V0,M1} I { in( skol3, skol4 ) }.
% 0.71/1.09  parent0: (17) {G0,W3,D2,L1,V0,M1}  { in( skol3, skol4 ) }.
% 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: (6) {G0,W9,D3,L2,V2,M1} I { ! in( X, Y ), ! disjoint( 
% 0.71/1.09    singleton( X ), Y ) }.
% 0.71/1.09  parent0: (18) {G0,W9,D3,L2,V2,M2}  { ! disjoint( singleton( X ), Y ), ! in
% 0.71/1.09    ( X, 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 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (22) {G1,W4,D2,L1,V0,M1}  { ! in( skol3, skol4 ) }.
% 0.71/1.09  parent0[1]: (6) {G0,W9,D3,L2,V2,M1} I { ! in( X, Y ), ! disjoint( singleton
% 0.71/1.09    ( X ), Y ) }.
% 0.71/1.09  parent1[0]: (4) {G0,W4,D3,L1,V0,M1} I { disjoint( singleton( skol3 ), skol4
% 0.71/1.09     ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09     X := skol3
% 0.71/1.09     Y := skol4
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (23) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.09  parent0[0]: (22) {G1,W4,D2,L1,V0,M1}  { ! in( skol3, skol4 ) }.
% 0.71/1.09  parent1[0]: (5) {G0,W3,D2,L1,V0,M1} I { in( skol3, skol4 ) }.
% 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: (10) {G1,W0,D0,L0,V0,M0} R(6,4);r(5) {  }.
% 0.71/1.09  parent0: (23) {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:        161
% 0.71/1.09  space for clauses:      597
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  clauses generated:      12
% 0.71/1.09  clauses kept:           11
% 0.71/1.09  clauses selected:       10
% 0.71/1.09  clauses deleted:        0
% 0.71/1.09  clauses inuse deleted:  0
% 0.71/1.09  
% 0.71/1.09  subsentry:          7
% 0.71/1.09  literals s-matched: 3
% 0.71/1.09  literals matched:   3
% 0.71/1.09  full subsumption:   0
% 0.71/1.09  
% 0.71/1.09  checksum:           -553683208
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksem ended
%------------------------------------------------------------------------------