TSTP Solution File: SYN363+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN363+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 02:50:04 EDT 2022

% Result   : Theorem 0.57s 0.97s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SYN363+1 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.09  % Command  : bliksem %s
% 0.09/0.29  % Computer : n027.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % DateTime : Mon Jul 11 13:28:34 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.57/0.97  *** allocated 10000 integers for termspace/termends
% 0.57/0.97  *** allocated 10000 integers for clauses
% 0.57/0.97  *** allocated 10000 integers for justifications
% 0.57/0.97  Bliksem 1.12
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Automatic Strategy Selection
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Clauses:
% 0.57/0.97  
% 0.57/0.97  { big_r( X, b ) }.
% 0.57/0.97  { ! big_r( X, Y ), big_r( a, X ) }.
% 0.57/0.97  { ! big_r( X, skol1( X ) ) }.
% 0.57/0.97  
% 0.57/0.97  percentage equality = 0.000000, percentage horn = 1.000000
% 0.57/0.97  This is a near-Horn, non-equality  problem
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Options Used:
% 0.57/0.97  
% 0.57/0.97  useres =            1
% 0.57/0.97  useparamod =        0
% 0.57/0.97  useeqrefl =         0
% 0.57/0.97  useeqfact =         0
% 0.57/0.97  usefactor =         1
% 0.57/0.97  usesimpsplitting =  0
% 0.57/0.97  usesimpdemod =      0
% 0.57/0.97  usesimpres =        4
% 0.57/0.97  
% 0.57/0.97  resimpinuse      =  1000
% 0.57/0.97  resimpclauses =     20000
% 0.57/0.97  substype =          standard
% 0.57/0.97  backwardsubs =      1
% 0.57/0.97  selectoldest =      5
% 0.57/0.97  
% 0.57/0.97  litorderings [0] =  split
% 0.57/0.97  litorderings [1] =  liftord
% 0.57/0.97  
% 0.57/0.97  termordering =      none
% 0.57/0.97  
% 0.57/0.97  litapriori =        1
% 0.57/0.97  termapriori =       0
% 0.57/0.97  litaposteriori =    0
% 0.57/0.97  termaposteriori =   0
% 0.57/0.97  demodaposteriori =  0
% 0.57/0.97  ordereqreflfact =   0
% 0.57/0.97  
% 0.57/0.97  litselect =         negative
% 0.57/0.97  
% 0.57/0.97  maxweight =         30000
% 0.57/0.97  maxdepth =          30000
% 0.57/0.97  maxlength =         115
% 0.57/0.97  maxnrvars =         195
% 0.57/0.97  excuselevel =       0
% 0.57/0.97  increasemaxweight = 0
% 0.57/0.97  
% 0.57/0.97  maxselected =       10000000
% 0.57/0.97  maxnrclauses =      10000000
% 0.57/0.97  
% 0.57/0.97  showgenerated =    0
% 0.57/0.97  showkept =         0
% 0.57/0.97  showselected =     0
% 0.57/0.97  showdeleted =      0
% 0.57/0.97  showresimp =       1
% 0.57/0.97  showstatus =       2000
% 0.57/0.97  
% 0.57/0.97  prologoutput =     0
% 0.57/0.97  nrgoals =          5000000
% 0.57/0.97  totalproof =       1
% 0.57/0.97  
% 0.57/0.97  Symbols occurring in the translation:
% 0.57/0.97  
% 0.57/0.97  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.57/0.97  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 0.57/0.97  !  [4, 1]      (w:1, o:13, a:1, s:1, b:0), 
% 0.57/0.97  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.57/0.97  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.57/0.97  b  [36, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.57/0.97  big_r  [37, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.57/0.97  a  [40, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.57/0.97  skol1  [43, 1]      (w:1, o:18, a:1, s:1, b:0).
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Starting Search:
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Bliksems!, er is een bewijs:
% 0.57/0.97  % SZS status Theorem
% 0.57/0.97  % SZS output start Refutation
% 0.57/0.97  
% 0.57/0.97  (0) {G0,W3,D2,L1,V1,M1} I { big_r( X, b ) }.
% 0.57/0.97  (1) {G0,W7,D2,L2,V2,M1} I { big_r( a, X ), ! big_r( X, Y ) }.
% 0.57/0.97  (2) {G0,W5,D3,L1,V1,M1} I { ! big_r( X, skol1( X ) ) }.
% 0.57/0.97  (3) {G1,W3,D2,L1,V1,M1} R(1,0) { big_r( a, X ) }.
% 0.57/0.97  (4) {G2,W0,D0,L0,V0,M0} R(3,2) {  }.
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  % SZS output end Refutation
% 0.57/0.97  found a proof!
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Unprocessed initial clauses:
% 0.57/0.97  
% 0.57/0.97  (6) {G0,W3,D2,L1,V1,M1}  { big_r( X, b ) }.
% 0.57/0.97  (7) {G0,W7,D2,L2,V2,M2}  { ! big_r( X, Y ), big_r( a, X ) }.
% 0.57/0.97  (8) {G0,W5,D3,L1,V1,M1}  { ! big_r( X, skol1( X ) ) }.
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Total Proof:
% 0.57/0.97  
% 0.57/0.97  subsumption: (0) {G0,W3,D2,L1,V1,M1} I { big_r( X, b ) }.
% 0.57/0.97  parent0: (6) {G0,W3,D2,L1,V1,M1}  { big_r( X, b ) }.
% 0.57/0.97  substitution0:
% 0.57/0.97     X := X
% 0.57/0.97  end
% 0.57/0.97  permutation0:
% 0.57/0.97     0 ==> 0
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  subsumption: (1) {G0,W7,D2,L2,V2,M1} I { big_r( a, X ), ! big_r( X, Y ) }.
% 0.57/0.97  parent0: (7) {G0,W7,D2,L2,V2,M2}  { ! big_r( X, Y ), big_r( a, X ) }.
% 0.57/0.97  substitution0:
% 0.57/0.97     X := X
% 0.57/0.97     Y := Y
% 0.57/0.97  end
% 0.57/0.97  permutation0:
% 0.57/0.97     0 ==> 1
% 0.57/0.97     1 ==> 0
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  subsumption: (2) {G0,W5,D3,L1,V1,M1} I { ! big_r( X, skol1( X ) ) }.
% 0.57/0.97  parent0: (8) {G0,W5,D3,L1,V1,M1}  { ! big_r( X, skol1( X ) ) }.
% 0.57/0.97  substitution0:
% 0.57/0.97     X := X
% 0.57/0.97  end
% 0.57/0.97  permutation0:
% 0.57/0.97     0 ==> 0
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  resolution: (9) {G1,W3,D2,L1,V1,M1}  { big_r( a, X ) }.
% 0.57/0.97  parent0[1]: (1) {G0,W7,D2,L2,V2,M1} I { big_r( a, X ), ! big_r( X, Y ) }.
% 0.57/0.97  parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { big_r( X, b ) }.
% 0.57/0.97  substitution0:
% 0.57/0.97     X := X
% 0.57/0.97     Y := b
% 0.57/0.97  end
% 0.57/0.97  substitution1:
% 0.57/0.97     X := X
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  subsumption: (3) {G1,W3,D2,L1,V1,M1} R(1,0) { big_r( a, X ) }.
% 0.57/0.97  parent0: (9) {G1,W3,D2,L1,V1,M1}  { big_r( a, X ) }.
% 0.57/0.97  substitution0:
% 0.57/0.97     X := X
% 0.57/0.97  end
% 0.57/0.97  permutation0:
% 0.57/0.97     0 ==> 0
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  resolution: (10) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.57/0.97  parent0[0]: (2) {G0,W5,D3,L1,V1,M1} I { ! big_r( X, skol1( X ) ) }.
% 0.57/0.97  parent1[0]: (3) {G1,W3,D2,L1,V1,M1} R(1,0) { big_r( a, X ) }.
% 0.57/0.97  substitution0:
% 0.57/0.97     X := a
% 0.57/0.97  end
% 0.57/0.97  substitution1:
% 0.57/0.97     X := skol1( a )
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  subsumption: (4) {G2,W0,D0,L0,V0,M0} R(3,2) {  }.
% 0.57/0.97  parent0: (10) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.57/0.97  substitution0:
% 0.57/0.97  end
% 0.57/0.97  permutation0:
% 0.57/0.97  end
% 0.57/0.97  
% 0.57/0.97  Proof check complete!
% 0.57/0.97  
% 0.57/0.97  Memory use:
% 0.57/0.97  
% 0.57/0.97  space for terms:        67
% 0.57/0.97  space for clauses:      243
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  clauses generated:      6
% 0.57/0.97  clauses kept:           5
% 0.57/0.97  clauses selected:       4
% 0.57/0.97  clauses deleted:        0
% 0.57/0.97  clauses inuse deleted:  0
% 0.57/0.97  
% 0.57/0.97  subsentry:          1
% 0.57/0.97  literals s-matched: 1
% 0.57/0.97  literals matched:   1
% 0.57/0.97  full subsumption:   0
% 0.57/0.97  
% 0.57/0.97  checksum:           2536
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Bliksem ended
%------------------------------------------------------------------------------