TSTP Solution File: SYN073+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN073+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 02:47:27 EDT 2022

% Result   : Theorem 0.75s 1.14s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN073+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n020.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 : Tue Jul 12 05:44:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.75/1.14  *** allocated 10000 integers for termspace/termends
% 0.75/1.14  *** allocated 10000 integers for clauses
% 0.75/1.14  *** allocated 10000 integers for justifications
% 0.75/1.14  Bliksem 1.12
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Automatic Strategy Selection
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Clauses:
% 0.75/1.14  
% 0.75/1.14  { big_f( a, X ), big_f( X, Y ) }.
% 0.75/1.14  { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  
% 0.75/1.14  percentage equality = 0.000000, percentage horn = 0.500000
% 0.75/1.14  This a non-horn, non-equality problem
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Options Used:
% 0.75/1.14  
% 0.75/1.14  useres =            1
% 0.75/1.14  useparamod =        0
% 0.75/1.14  useeqrefl =         0
% 0.75/1.14  useeqfact =         0
% 0.75/1.14  usefactor =         1
% 0.75/1.14  usesimpsplitting =  0
% 0.75/1.14  usesimpdemod =      0
% 0.75/1.14  usesimpres =        3
% 0.75/1.14  
% 0.75/1.14  resimpinuse      =  1000
% 0.75/1.14  resimpclauses =     20000
% 0.75/1.14  substype =          standard
% 0.75/1.14  backwardsubs =      1
% 0.75/1.14  selectoldest =      5
% 0.75/1.14  
% 0.75/1.14  litorderings [0] =  split
% 0.75/1.14  litorderings [1] =  liftord
% 0.75/1.14  
% 0.75/1.14  termordering =      none
% 0.75/1.14  
% 0.75/1.14  litapriori =        1
% 0.75/1.14  termapriori =       0
% 0.75/1.14  litaposteriori =    0
% 0.75/1.14  termaposteriori =   0
% 0.75/1.14  demodaposteriori =  0
% 0.75/1.14  ordereqreflfact =   0
% 0.75/1.14  
% 0.75/1.14  litselect =         none
% 0.75/1.14  
% 0.75/1.14  maxweight =         15
% 0.75/1.14  maxdepth =          30000
% 0.75/1.14  maxlength =         115
% 0.75/1.14  maxnrvars =         195
% 0.75/1.14  excuselevel =       1
% 0.75/1.14  increasemaxweight = 1
% 0.75/1.14  
% 0.75/1.14  maxselected =       10000000
% 0.75/1.14  maxnrclauses =      10000000
% 0.75/1.14  
% 0.75/1.14  showgenerated =    0
% 0.75/1.14  showkept =         0
% 0.75/1.14  showselected =     0
% 0.75/1.14  showdeleted =      0
% 0.75/1.14  showresimp =       1
% 0.75/1.14  showstatus =       2000
% 0.75/1.14  
% 0.75/1.14  prologoutput =     0
% 0.75/1.14  nrgoals =          5000000
% 0.75/1.14  totalproof =       1
% 0.75/1.14  
% 0.75/1.14  Symbols occurring in the translation:
% 0.75/1.14  
% 0.75/1.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.14  .  [1, 2]      (w:1, o:17, a:1, s:1, b:0), 
% 0.75/1.14  !  [4, 1]      (w:0, o:11, a:1, s:1, b:0), 
% 0.75/1.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.14  a  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.75/1.14  big_f  [37, 2]      (w:1, o:41, a:1, s:1, b:0), 
% 0.75/1.14  skol1  [41, 1]      (w:1, o:16, a:1, s:1, b:0).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Starting Search:
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Bliksems!, er is een bewijs:
% 0.75/1.14  % SZS status Theorem
% 0.75/1.14  % SZS output start Refutation
% 0.75/1.14  
% 0.75/1.14  (0) {G0,W6,D2,L2,V2,M2} I { big_f( X, Y ), big_f( a, X ) }.
% 0.75/1.14  (1) {G0,W4,D3,L1,V1,M1} I { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  (3) {G1,W3,D2,L1,V1,M1} R(0,1) { big_f( a, X ) }.
% 0.75/1.14  (5) {G2,W0,D0,L0,V0,M0} R(3,1) {  }.
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  % SZS output end Refutation
% 0.75/1.14  found a proof!
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Unprocessed initial clauses:
% 0.75/1.14  
% 0.75/1.14  (7) {G0,W6,D2,L2,V2,M2}  { big_f( a, X ), big_f( X, Y ) }.
% 0.75/1.14  (8) {G0,W4,D3,L1,V1,M1}  { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Total Proof:
% 0.75/1.14  
% 0.75/1.14  subsumption: (0) {G0,W6,D2,L2,V2,M2} I { big_f( X, Y ), big_f( a, X ) }.
% 0.75/1.14  parent0: (7) {G0,W6,D2,L2,V2,M2}  { big_f( a, X ), big_f( X, Y ) }.
% 0.75/1.14  substitution0:
% 0.75/1.14     X := X
% 0.75/1.14     Y := Y
% 0.75/1.14  end
% 0.75/1.14  permutation0:
% 0.75/1.14     0 ==> 1
% 0.75/1.14     1 ==> 0
% 0.75/1.14  end
% 0.75/1.14  
% 0.75/1.14  subsumption: (1) {G0,W4,D3,L1,V1,M1} I { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  parent0: (8) {G0,W4,D3,L1,V1,M1}  { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  substitution0:
% 0.75/1.14     X := X
% 0.75/1.14  end
% 0.75/1.14  permutation0:
% 0.75/1.14     0 ==> 0
% 0.75/1.14  end
% 0.75/1.14  
% 0.75/1.14  resolution: (11) {G1,W3,D2,L1,V1,M1}  { big_f( a, X ) }.
% 0.75/1.14  parent0[0]: (1) {G0,W4,D3,L1,V1,M1} I { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  parent1[0]: (0) {G0,W6,D2,L2,V2,M2} I { big_f( X, Y ), big_f( a, X ) }.
% 0.75/1.14  substitution0:
% 0.75/1.14     X := X
% 0.75/1.14  end
% 0.75/1.14  substitution1:
% 0.75/1.14     X := X
% 0.75/1.14     Y := skol1( X )
% 0.75/1.14  end
% 0.75/1.14  
% 0.75/1.14  subsumption: (3) {G1,W3,D2,L1,V1,M1} R(0,1) { big_f( a, X ) }.
% 0.75/1.14  parent0: (11) {G1,W3,D2,L1,V1,M1}  { big_f( a, X ) }.
% 0.75/1.14  substitution0:
% 0.75/1.14     X := X
% 0.75/1.14  end
% 0.75/1.14  permutation0:
% 0.75/1.14     0 ==> 0
% 0.75/1.14  end
% 0.75/1.14  
% 0.75/1.14  resolution: (13) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.75/1.14  parent0[0]: (1) {G0,W4,D3,L1,V1,M1} I { ! big_f( X, skol1( X ) ) }.
% 0.75/1.14  parent1[0]: (3) {G1,W3,D2,L1,V1,M1} R(0,1) { big_f( a, X ) }.
% 0.75/1.14  substitution0:
% 0.75/1.14     X := a
% 0.75/1.14  end
% 0.75/1.14  substitution1:
% 0.75/1.14     X := skol1( a )
% 0.75/1.14  end
% 0.75/1.14  
% 0.75/1.14  subsumption: (5) {G2,W0,D0,L0,V0,M0} R(3,1) {  }.
% 0.75/1.14  parent0: (13) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.75/1.14  substitution0:
% 0.75/1.14  end
% 0.75/1.14  permutation0:
% 0.75/1.14  end
% 0.75/1.14  
% 0.75/1.14  Proof check complete!
% 0.75/1.14  
% 0.75/1.14  Memory use:
% 0.75/1.14  
% 0.75/1.14  space for terms:        58
% 0.75/1.14  space for clauses:      292
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  clauses generated:      6
% 0.75/1.14  clauses kept:           6
% 0.75/1.14  clauses selected:       4
% 0.75/1.14  clauses deleted:        0
% 0.75/1.14  clauses inuse deleted:  0
% 0.75/1.14  
% 0.75/1.14  subsentry:          5
% 0.75/1.14  literals s-matched: 0
% 0.75/1.14  literals matched:   0
% 0.75/1.14  full subsumption:   0
% 0.75/1.14  
% 0.75/1.14  checksum:           67109294
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Bliksem ended
%------------------------------------------------------------------------------