TSTP Solution File: SYN323+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 02:49:35 EDT 2022

% Result   : Theorem 0.61s 0.98s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Mon Jul 11 19:32:02 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.61/0.98  *** allocated 10000 integers for termspace/termends
% 0.61/0.98  *** allocated 10000 integers for clauses
% 0.61/0.98  *** allocated 10000 integers for justifications
% 0.61/0.98  Bliksem 1.12
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Automatic Strategy Selection
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Clauses:
% 0.61/0.98  
% 0.61/0.98  { big_f( Y, X ), big_g( Y, X ) }.
% 0.61/0.98  { ! big_f( X, Y ), big_g( Y, X ) }.
% 0.61/0.98  { big_f( Y, X ), ! big_g( Y, X ) }.
% 0.61/0.98  { ! big_f( X, Y ), ! big_g( Y, X ) }.
% 0.61/0.98  
% 0.61/0.98  percentage equality = 0.000000, percentage horn = 0.750000
% 0.61/0.98  This a non-horn, non-equality problem
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Options Used:
% 0.61/0.98  
% 0.61/0.98  useres =            1
% 0.61/0.98  useparamod =        0
% 0.61/0.98  useeqrefl =         0
% 0.61/0.98  useeqfact =         0
% 0.61/0.98  usefactor =         1
% 0.61/0.98  usesimpsplitting =  0
% 0.61/0.98  usesimpdemod =      0
% 0.61/0.98  usesimpres =        3
% 0.61/0.98  
% 0.61/0.98  resimpinuse      =  1000
% 0.61/0.98  resimpclauses =     20000
% 0.61/0.98  substype =          standard
% 0.61/0.98  backwardsubs =      1
% 0.61/0.98  selectoldest =      5
% 0.61/0.98  
% 0.61/0.98  litorderings [0] =  split
% 0.61/0.98  litorderings [1] =  liftord
% 0.61/0.98  
% 0.61/0.98  termordering =      none
% 0.61/0.98  
% 0.61/0.98  litapriori =        1
% 0.61/0.98  termapriori =       0
% 0.61/0.98  litaposteriori =    0
% 0.61/0.98  termaposteriori =   0
% 0.61/0.98  demodaposteriori =  0
% 0.61/0.98  ordereqreflfact =   0
% 0.61/0.98  
% 0.61/0.98  litselect =         none
% 0.61/0.98  
% 0.61/0.98  maxweight =         15
% 0.61/0.98  maxdepth =          30000
% 0.61/0.98  maxlength =         115
% 0.61/0.98  maxnrvars =         195
% 0.61/0.98  excuselevel =       1
% 0.61/0.98  increasemaxweight = 1
% 0.61/0.98  
% 0.61/0.98  maxselected =       10000000
% 0.61/0.98  maxnrclauses =      10000000
% 0.61/0.98  
% 0.61/0.98  showgenerated =    0
% 0.61/0.98  showkept =         0
% 0.61/0.98  showselected =     0
% 0.61/0.98  showdeleted =      0
% 0.61/0.98  showresimp =       1
% 0.61/0.98  showstatus =       2000
% 0.61/0.98  
% 0.61/0.98  prologoutput =     0
% 0.61/0.98  nrgoals =          5000000
% 0.61/0.98  totalproof =       1
% 0.61/0.98  
% 0.61/0.98  Symbols occurring in the translation:
% 0.61/0.98  
% 0.61/0.98  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.61/0.98  .  [1, 2]      (w:1, o:13, a:1, s:1, b:0), 
% 0.61/0.98  !  [4, 1]      (w:0, o:8, a:1, s:1, b:0), 
% 0.61/0.98  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.61/0.98  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.61/0.98  big_f  [37, 2]      (w:1, o:37, a:1, s:1, b:0), 
% 0.61/0.98  big_g  [38, 2]      (w:1, o:38, a:1, s:1, b:0).
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Starting Search:
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Bliksems!, er is een bewijs:
% 0.61/0.98  % SZS status Theorem
% 0.61/0.98  % SZS output start Refutation
% 0.61/0.98  
% 0.61/0.98  (0) {G0,W6,D2,L2,V2,M1} I { big_f( Y, X ), big_g( Y, X ) }.
% 0.61/0.98  (1) {G0,W6,D2,L2,V2,M1} I { ! big_f( X, Y ), big_g( Y, X ) }.
% 0.61/0.98  (2) {G1,W3,D2,L1,V2,M1} I;r(0) { big_f( Y, X ) }.
% 0.61/0.98  (3) {G2,W3,D2,L1,V2,M1} I;r(2) { ! big_g( Y, X ) }.
% 0.61/0.98  (4) {G3,W0,D0,L0,V0,M0} S(1);r(2);r(3) {  }.
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  % SZS output end Refutation
% 0.61/0.98  found a proof!
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Unprocessed initial clauses:
% 0.61/0.98  
% 0.61/0.98  (6) {G0,W6,D2,L2,V2,M2}  { big_f( Y, X ), big_g( Y, X ) }.
% 0.61/0.98  (7) {G0,W6,D2,L2,V2,M2}  { ! big_f( X, Y ), big_g( Y, X ) }.
% 0.61/0.98  (8) {G0,W6,D2,L2,V2,M2}  { big_f( Y, X ), ! big_g( Y, X ) }.
% 0.61/0.98  (9) {G0,W6,D2,L2,V2,M2}  { ! big_f( X, Y ), ! big_g( Y, X ) }.
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Total Proof:
% 0.61/0.98  
% 0.61/0.98  subsumption: (0) {G0,W6,D2,L2,V2,M1} I { big_f( Y, X ), big_g( Y, X ) }.
% 0.61/0.98  parent0: (6) {G0,W6,D2,L2,V2,M2}  { big_f( Y, X ), big_g( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := X
% 0.61/0.98     Y := Y
% 0.61/0.98  end
% 0.61/0.98  permutation0:
% 0.61/0.98     0 ==> 0
% 0.61/0.98     1 ==> 1
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  subsumption: (1) {G0,W6,D2,L2,V2,M1} I { ! big_f( X, Y ), big_g( Y, X ) }.
% 0.61/0.98  parent0: (7) {G0,W6,D2,L2,V2,M2}  { ! big_f( X, Y ), big_g( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := X
% 0.61/0.98     Y := Y
% 0.61/0.98  end
% 0.61/0.98  permutation0:
% 0.61/0.98     0 ==> 0
% 0.61/0.98     1 ==> 1
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  resolution: (12) {G1,W6,D2,L2,V2,M2}  { big_f( X, Y ), big_f( X, Y ) }.
% 0.61/0.98  parent0[1]: (8) {G0,W6,D2,L2,V2,M2}  { big_f( Y, X ), ! big_g( Y, X ) }.
% 0.61/0.98  parent1[1]: (0) {G0,W6,D2,L2,V2,M1} I { big_f( Y, X ), big_g( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  substitution1:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  factor: (13) {G1,W3,D2,L1,V2,M1}  { big_f( X, Y ) }.
% 0.61/0.98  parent0[0, 1]: (12) {G1,W6,D2,L2,V2,M2}  { big_f( X, Y ), big_f( X, Y ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := X
% 0.61/0.98     Y := Y
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  subsumption: (2) {G1,W3,D2,L1,V2,M1} I;r(0) { big_f( Y, X ) }.
% 0.61/0.98  parent0: (13) {G1,W3,D2,L1,V2,M1}  { big_f( X, Y ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  permutation0:
% 0.61/0.98     0 ==> 0
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  resolution: (15) {G1,W3,D2,L1,V2,M1}  { ! big_g( Y, X ) }.
% 0.61/0.98  parent0[0]: (9) {G0,W6,D2,L2,V2,M2}  { ! big_f( X, Y ), ! big_g( Y, X ) }.
% 0.61/0.98  parent1[0]: (2) {G1,W3,D2,L1,V2,M1} I;r(0) { big_f( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := X
% 0.61/0.98     Y := Y
% 0.61/0.98  end
% 0.61/0.98  substitution1:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  subsumption: (3) {G2,W3,D2,L1,V2,M1} I;r(2) { ! big_g( Y, X ) }.
% 0.61/0.98  parent0: (15) {G1,W3,D2,L1,V2,M1}  { ! big_g( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := X
% 0.61/0.98     Y := Y
% 0.61/0.98  end
% 0.61/0.98  permutation0:
% 0.61/0.98     0 ==> 0
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  resolution: (16) {G1,W3,D2,L1,V2,M1}  { big_g( Y, X ) }.
% 0.61/0.98  parent0[0]: (1) {G0,W6,D2,L2,V2,M1} I { ! big_f( X, Y ), big_g( Y, X ) }.
% 0.61/0.98  parent1[0]: (2) {G1,W3,D2,L1,V2,M1} I;r(0) { big_f( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := X
% 0.61/0.98     Y := Y
% 0.61/0.98  end
% 0.61/0.98  substitution1:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  resolution: (17) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.61/0.98  parent0[0]: (3) {G2,W3,D2,L1,V2,M1} I;r(2) { ! big_g( Y, X ) }.
% 0.61/0.98  parent1[0]: (16) {G1,W3,D2,L1,V2,M1}  { big_g( Y, X ) }.
% 0.61/0.98  substitution0:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  substitution1:
% 0.61/0.98     X := Y
% 0.61/0.98     Y := X
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  subsumption: (4) {G3,W0,D0,L0,V0,M0} S(1);r(2);r(3) {  }.
% 0.61/0.98  parent0: (17) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.61/0.98  substitution0:
% 0.61/0.98  end
% 0.61/0.98  permutation0:
% 0.61/0.98  end
% 0.61/0.98  
% 0.61/0.98  Proof check complete!
% 0.61/0.98  
% 0.61/0.98  Memory use:
% 0.61/0.98  
% 0.61/0.98  space for terms:        96
% 0.61/0.98  space for clauses:      273
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  clauses generated:      5
% 0.61/0.98  clauses kept:           5
% 0.61/0.98  clauses selected:       2
% 0.61/0.98  clauses deleted:        1
% 0.61/0.98  clauses inuse deleted:  0
% 0.61/0.98  
% 0.61/0.98  subsentry:          0
% 0.61/0.98  literals s-matched: 0
% 0.61/0.98  literals matched:   0
% 0.61/0.98  full subsumption:   0
% 0.61/0.98  
% 0.61/0.98  checksum:           1753
% 0.61/0.98  
% 0.61/0.98  
% 0.61/0.98  Bliksem ended
%------------------------------------------------------------------------------