TSTP Solution File: SYN343+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN343+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 02:49:51 EDT 2022

% Result   : Theorem 0.55s 0.95s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN343+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.10  % Command  : bliksem %s
% 0.11/0.30  % Computer : n027.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % DateTime : Mon Jul 11 20:55:04 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.55/0.95  *** allocated 10000 integers for termspace/termends
% 0.55/0.95  *** allocated 10000 integers for clauses
% 0.55/0.95  *** allocated 10000 integers for justifications
% 0.55/0.95  Bliksem 1.12
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Automatic Strategy Selection
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Clauses:
% 0.55/0.95  
% 0.55/0.95  { big_f( X, Y ), big_f( X, X ) }.
% 0.55/0.95  { ! big_f( skol1( X ), X ), big_f( X, X ) }.
% 0.55/0.95  { ! big_f( X, X ), ! big_f( Y, Z ) }.
% 0.55/0.95  
% 0.55/0.95  percentage equality = 0.000000, percentage horn = 0.500000
% 0.55/0.95  This a non-horn, non-equality problem
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Options Used:
% 0.55/0.95  
% 0.55/0.95  useres =            1
% 0.55/0.95  useparamod =        0
% 0.55/0.95  useeqrefl =         0
% 0.55/0.95  useeqfact =         0
% 0.55/0.95  usefactor =         1
% 0.55/0.95  usesimpsplitting =  0
% 0.55/0.95  usesimpdemod =      0
% 0.55/0.95  usesimpres =        3
% 0.55/0.95  
% 0.55/0.95  resimpinuse      =  1000
% 0.55/0.95  resimpclauses =     20000
% 0.55/0.95  substype =          standard
% 0.55/0.95  backwardsubs =      1
% 0.55/0.95  selectoldest =      5
% 0.55/0.95  
% 0.55/0.95  litorderings [0] =  split
% 0.55/0.95  litorderings [1] =  liftord
% 0.55/0.95  
% 0.55/0.95  termordering =      none
% 0.55/0.95  
% 0.55/0.95  litapriori =        1
% 0.55/0.95  termapriori =       0
% 0.55/0.95  litaposteriori =    0
% 0.55/0.95  termaposteriori =   0
% 0.55/0.95  demodaposteriori =  0
% 0.55/0.95  ordereqreflfact =   0
% 0.55/0.95  
% 0.55/0.95  litselect =         none
% 0.55/0.95  
% 0.55/0.95  maxweight =         15
% 0.55/0.95  maxdepth =          30000
% 0.55/0.95  maxlength =         115
% 0.55/0.95  maxnrvars =         195
% 0.55/0.95  excuselevel =       1
% 0.55/0.95  increasemaxweight = 1
% 0.55/0.95  
% 0.55/0.95  maxselected =       10000000
% 0.55/0.95  maxnrclauses =      10000000
% 0.55/0.95  
% 0.55/0.95  showgenerated =    0
% 0.55/0.95  showkept =         0
% 0.55/0.95  showselected =     0
% 0.55/0.95  showdeleted =      0
% 0.55/0.95  showresimp =       1
% 0.55/0.95  showstatus =       2000
% 0.55/0.95  
% 0.55/0.95  prologoutput =     0
% 0.55/0.95  nrgoals =          5000000
% 0.55/0.95  totalproof =       1
% 0.55/0.95  
% 0.55/0.95  Symbols occurring in the translation:
% 0.55/0.95  
% 0.55/0.95  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.55/0.95  .  [1, 2]      (w:1, o:16, a:1, s:1, b:0), 
% 0.55/0.95  !  [4, 1]      (w:0, o:10, a:1, s:1, b:0), 
% 0.55/0.95  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.55/0.95  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.55/0.95  big_f  [39, 2]      (w:1, o:40, a:1, s:1, b:0), 
% 0.55/0.95  skol1  [40, 1]      (w:1, o:15, a:1, s:1, b:0).
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Starting Search:
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Bliksems!, er is een bewijs:
% 0.55/0.95  % SZS status Theorem
% 0.55/0.95  % SZS output start Refutation
% 0.55/0.95  
% 0.55/0.95  (0) {G0,W6,D2,L2,V2,M2} I { big_f( X, X ), big_f( X, Y ) }.
% 0.55/0.95  (1) {G0,W6,D2,L2,V3,M2} I { ! big_f( Y, Z ), ! big_f( X, X ) }.
% 0.55/0.95  (2) {G1,W3,D2,L1,V1,M1} F(0) { big_f( X, X ) }.
% 0.55/0.95  (3) {G2,W0,D0,L0,V0,M0} F(1);r(2) {  }.
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  % SZS output end Refutation
% 0.55/0.95  found a proof!
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Unprocessed initial clauses:
% 0.55/0.95  
% 0.55/0.95  (5) {G0,W6,D2,L2,V2,M2}  { big_f( X, Y ), big_f( X, X ) }.
% 0.55/0.95  (6) {G0,W7,D3,L2,V1,M2}  { ! big_f( skol1( X ), X ), big_f( X, X ) }.
% 0.55/0.95  (7) {G0,W6,D2,L2,V3,M2}  { ! big_f( X, X ), ! big_f( Y, Z ) }.
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Total Proof:
% 0.55/0.95  
% 0.55/0.95  subsumption: (0) {G0,W6,D2,L2,V2,M2} I { big_f( X, X ), big_f( X, Y ) }.
% 0.55/0.95  parent0: (5) {G0,W6,D2,L2,V2,M2}  { big_f( X, Y ), big_f( X, X ) }.
% 0.55/0.95  substitution0:
% 0.55/0.95     X := X
% 0.55/0.95     Y := X
% 0.55/0.95  end
% 0.55/0.95  permutation0:
% 0.55/0.95     0 ==> 0
% 0.55/0.95     1 ==> 0
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  subsumption: (1) {G0,W6,D2,L2,V3,M2} I { ! big_f( Y, Z ), ! big_f( X, X )
% 0.55/0.95     }.
% 0.55/0.95  parent0: (7) {G0,W6,D2,L2,V3,M2}  { ! big_f( X, X ), ! big_f( Y, Z ) }.
% 0.55/0.95  substitution0:
% 0.55/0.95     X := X
% 0.55/0.95     Y := Y
% 0.55/0.95     Z := Z
% 0.55/0.95  end
% 0.55/0.95  permutation0:
% 0.55/0.95     0 ==> 1
% 0.55/0.95     1 ==> 0
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  factor: (11) {G0,W3,D2,L1,V1,M1}  { big_f( X, X ) }.
% 0.55/0.95  parent0[0, 1]: (0) {G0,W6,D2,L2,V2,M2} I { big_f( X, X ), big_f( X, Y ) }.
% 0.55/0.95  substitution0:
% 0.55/0.95     X := X
% 0.55/0.95     Y := X
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  subsumption: (2) {G1,W3,D2,L1,V1,M1} F(0) { big_f( X, X ) }.
% 0.55/0.95  parent0: (11) {G0,W3,D2,L1,V1,M1}  { big_f( X, X ) }.
% 0.55/0.95  substitution0:
% 0.55/0.95     X := X
% 0.55/0.95  end
% 0.55/0.95  permutation0:
% 0.55/0.95     0 ==> 0
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  factor: (12) {G0,W3,D2,L1,V1,M1}  { ! big_f( X, X ) }.
% 0.55/0.95  parent0[0, 1]: (1) {G0,W6,D2,L2,V3,M2} I { ! big_f( Y, Z ), ! big_f( X, X )
% 0.55/0.95     }.
% 0.55/0.95  substitution0:
% 0.55/0.95     X := X
% 0.55/0.95     Y := X
% 0.55/0.95     Z := X
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  resolution: (13) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.55/0.95  parent0[0]: (12) {G0,W3,D2,L1,V1,M1}  { ! big_f( X, X ) }.
% 0.55/0.95  parent1[0]: (2) {G1,W3,D2,L1,V1,M1} F(0) { big_f( X, X ) }.
% 0.55/0.95  substitution0:
% 0.55/0.95     X := X
% 0.55/0.95  end
% 0.55/0.95  substitution1:
% 0.55/0.95     X := X
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  subsumption: (3) {G2,W0,D0,L0,V0,M0} F(1);r(2) {  }.
% 0.55/0.95  parent0: (13) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.55/0.95  substitution0:
% 0.55/0.95  end
% 0.55/0.95  permutation0:
% 0.55/0.95  end
% 0.55/0.95  
% 0.55/0.95  Proof check complete!
% 0.55/0.95  
% 0.55/0.95  Memory use:
% 0.55/0.95  
% 0.55/0.95  space for terms:        77
% 0.55/0.95  space for clauses:      164
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  clauses generated:      5
% 0.55/0.95  clauses kept:           4
% 0.55/0.95  clauses selected:       0
% 0.55/0.95  clauses deleted:        0
% 0.55/0.95  clauses inuse deleted:  0
% 0.55/0.95  
% 0.55/0.95  subsentry:          2
% 0.55/0.95  literals s-matched: 1
% 0.55/0.95  literals matched:   1
% 0.55/0.95  full subsumption:   0
% 0.55/0.95  
% 0.55/0.95  checksum:           -2463
% 0.55/0.95  
% 0.55/0.95  
% 0.55/0.95  Bliksem ended
%------------------------------------------------------------------------------