TSTP Solution File: SYN055+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.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 02:47:10 EDT 2022

% Result   : Theorem 0.42s 0.83s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.07  % Command  : bliksem %s
% 0.06/0.26  % Computer : n021.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % DateTime : Tue Jul 12 03:27:53 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.42/0.83  *** allocated 10000 integers for termspace/termends
% 0.42/0.83  *** allocated 10000 integers for clauses
% 0.42/0.83  *** allocated 10000 integers for justifications
% 0.42/0.83  Bliksem 1.12
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Automatic Strategy Selection
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Clauses:
% 0.42/0.83  
% 0.42/0.83  { big_p( skol1 ) }.
% 0.42/0.83  { ! big_f( X ), ! big_g( X ) }.
% 0.42/0.83  { ! big_f( X ), big_r( X ) }.
% 0.42/0.83  { ! big_p( X ), big_g( X ) }.
% 0.42/0.83  { ! big_p( X ), big_f( X ) }.
% 0.42/0.83  { ! big_p( X ), big_q( X ), big_p( skol2 ) }.
% 0.42/0.83  { ! big_p( X ), big_q( X ), big_r( skol2 ) }.
% 0.42/0.83  { ! big_q( X ), ! big_p( X ) }.
% 0.42/0.83  
% 0.42/0.83  percentage equality = 0.000000, percentage horn = 0.750000
% 0.42/0.83  This a non-horn, non-equality problem
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Options Used:
% 0.42/0.83  
% 0.42/0.83  useres =            1
% 0.42/0.83  useparamod =        0
% 0.42/0.83  useeqrefl =         0
% 0.42/0.83  useeqfact =         0
% 0.42/0.83  usefactor =         1
% 0.42/0.83  usesimpsplitting =  0
% 0.42/0.83  usesimpdemod =      0
% 0.42/0.83  usesimpres =        3
% 0.42/0.83  
% 0.42/0.83  resimpinuse      =  1000
% 0.42/0.83  resimpclauses =     20000
% 0.42/0.83  substype =          standard
% 0.42/0.83  backwardsubs =      1
% 0.42/0.83  selectoldest =      5
% 0.42/0.83  
% 0.42/0.83  litorderings [0] =  split
% 0.42/0.83  litorderings [1] =  liftord
% 0.42/0.83  
% 0.42/0.83  termordering =      none
% 0.42/0.83  
% 0.42/0.83  litapriori =        1
% 0.42/0.83  termapriori =       0
% 0.42/0.83  litaposteriori =    0
% 0.42/0.83  termaposteriori =   0
% 0.42/0.83  demodaposteriori =  0
% 0.42/0.83  ordereqreflfact =   0
% 0.42/0.83  
% 0.42/0.83  litselect =         none
% 0.42/0.83  
% 0.42/0.83  maxweight =         15
% 0.42/0.83  maxdepth =          30000
% 0.42/0.83  maxlength =         115
% 0.42/0.83  maxnrvars =         195
% 0.42/0.83  excuselevel =       1
% 0.42/0.83  increasemaxweight = 1
% 0.42/0.83  
% 0.42/0.83  maxselected =       10000000
% 0.42/0.83  maxnrclauses =      10000000
% 0.42/0.83  
% 0.42/0.83  showgenerated =    0
% 0.42/0.83  showkept =         0
% 0.42/0.83  showselected =     0
% 0.42/0.83  showdeleted =      0
% 0.42/0.83  showresimp =       1
% 0.42/0.83  showstatus =       2000
% 0.42/0.83  
% 0.42/0.83  prologoutput =     0
% 0.42/0.83  nrgoals =          5000000
% 0.42/0.83  totalproof =       1
% 0.42/0.83  
% 0.42/0.83  Symbols occurring in the translation:
% 0.42/0.83  
% 0.42/0.83  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/0.83  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.42/0.83  !  [4, 1]      (w:0, o:10, a:1, s:1, b:0), 
% 0.42/0.83  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/0.83  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/0.83  big_p  [36, 1]      (w:1, o:15, a:1, s:1, b:0), 
% 0.42/0.83  big_f  [37, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.42/0.83  big_g  [38, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.42/0.83  big_r  [39, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.42/0.83  big_q  [40, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.42/0.83  skol1  [42, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.42/0.83  skol2  [43, 0]      (w:1, o:9, a:1, s:1, b:0).
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Starting Search:
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Bliksems!, er is een bewijs:
% 0.42/0.83  % SZS status Theorem
% 0.42/0.83  % SZS output start Refutation
% 0.42/0.83  
% 0.42/0.83  (0) {G0,W2,D2,L1,V0,M1} I { big_p( skol1 ) }.
% 0.42/0.83  (1) {G0,W4,D2,L2,V1,M1} I { ! big_f( X ), ! big_g( X ) }.
% 0.42/0.83  (3) {G0,W4,D2,L2,V1,M1} I { ! big_p( X ), big_g( X ) }.
% 0.42/0.83  (4) {G0,W4,D2,L2,V1,M1} I { ! big_p( X ), big_f( X ) }.
% 0.42/0.83  (8) {G1,W2,D2,L1,V1,M1} R(1,3);r(4) { ! big_p( X ) }.
% 0.42/0.83  (9) {G2,W0,D0,L0,V0,M0} R(8,0) {  }.
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  % SZS output end Refutation
% 0.42/0.83  found a proof!
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Unprocessed initial clauses:
% 0.42/0.83  
% 0.42/0.83  (11) {G0,W2,D2,L1,V0,M1}  { big_p( skol1 ) }.
% 0.42/0.83  (12) {G0,W4,D2,L2,V1,M2}  { ! big_f( X ), ! big_g( X ) }.
% 0.42/0.83  (13) {G0,W4,D2,L2,V1,M2}  { ! big_f( X ), big_r( X ) }.
% 0.42/0.83  (14) {G0,W4,D2,L2,V1,M2}  { ! big_p( X ), big_g( X ) }.
% 0.42/0.83  (15) {G0,W4,D2,L2,V1,M2}  { ! big_p( X ), big_f( X ) }.
% 0.42/0.83  (16) {G0,W6,D2,L3,V1,M3}  { ! big_p( X ), big_q( X ), big_p( skol2 ) }.
% 0.42/0.83  (17) {G0,W6,D2,L3,V1,M3}  { ! big_p( X ), big_q( X ), big_r( skol2 ) }.
% 0.42/0.83  (18) {G0,W4,D2,L2,V1,M2}  { ! big_q( X ), ! big_p( X ) }.
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Total Proof:
% 0.42/0.83  
% 0.42/0.83  subsumption: (0) {G0,W2,D2,L1,V0,M1} I { big_p( skol1 ) }.
% 0.42/0.83  parent0: (11) {G0,W2,D2,L1,V0,M1}  { big_p( skol1 ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83  end
% 0.42/0.83  permutation0:
% 0.42/0.83     0 ==> 0
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  subsumption: (1) {G0,W4,D2,L2,V1,M1} I { ! big_f( X ), ! big_g( X ) }.
% 0.42/0.83  parent0: (12) {G0,W4,D2,L2,V1,M2}  { ! big_f( X ), ! big_g( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  permutation0:
% 0.42/0.83     0 ==> 0
% 0.42/0.83     1 ==> 1
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  subsumption: (3) {G0,W4,D2,L2,V1,M1} I { ! big_p( X ), big_g( X ) }.
% 0.42/0.83  parent0: (14) {G0,W4,D2,L2,V1,M2}  { ! big_p( X ), big_g( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  permutation0:
% 0.42/0.83     0 ==> 0
% 0.42/0.83     1 ==> 1
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  subsumption: (4) {G0,W4,D2,L2,V1,M1} I { ! big_p( X ), big_f( X ) }.
% 0.42/0.83  parent0: (15) {G0,W4,D2,L2,V1,M2}  { ! big_p( X ), big_f( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  permutation0:
% 0.42/0.83     0 ==> 0
% 0.42/0.83     1 ==> 1
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  resolution: (19) {G1,W4,D2,L2,V1,M2}  { ! big_f( X ), ! big_p( X ) }.
% 0.42/0.83  parent0[1]: (1) {G0,W4,D2,L2,V1,M1} I { ! big_f( X ), ! big_g( X ) }.
% 0.42/0.83  parent1[1]: (3) {G0,W4,D2,L2,V1,M1} I { ! big_p( X ), big_g( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  substitution1:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  resolution: (20) {G1,W4,D2,L2,V1,M2}  { ! big_p( X ), ! big_p( X ) }.
% 0.42/0.83  parent0[0]: (19) {G1,W4,D2,L2,V1,M2}  { ! big_f( X ), ! big_p( X ) }.
% 0.42/0.83  parent1[1]: (4) {G0,W4,D2,L2,V1,M1} I { ! big_p( X ), big_f( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  substitution1:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  factor: (21) {G1,W2,D2,L1,V1,M1}  { ! big_p( X ) }.
% 0.42/0.83  parent0[0, 1]: (20) {G1,W4,D2,L2,V1,M2}  { ! big_p( X ), ! big_p( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  subsumption: (8) {G1,W2,D2,L1,V1,M1} R(1,3);r(4) { ! big_p( X ) }.
% 0.42/0.83  parent0: (21) {G1,W2,D2,L1,V1,M1}  { ! big_p( X ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := X
% 0.42/0.83  end
% 0.42/0.83  permutation0:
% 0.42/0.83     0 ==> 0
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  resolution: (22) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.42/0.83  parent0[0]: (8) {G1,W2,D2,L1,V1,M1} R(1,3);r(4) { ! big_p( X ) }.
% 0.42/0.83  parent1[0]: (0) {G0,W2,D2,L1,V0,M1} I { big_p( skol1 ) }.
% 0.42/0.83  substitution0:
% 0.42/0.83     X := skol1
% 0.42/0.83  end
% 0.42/0.83  substitution1:
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  subsumption: (9) {G2,W0,D0,L0,V0,M0} R(8,0) {  }.
% 0.42/0.83  parent0: (22) {G1,W0,D0,L0,V0,M0}  {  }.
% 0.42/0.83  substitution0:
% 0.42/0.83  end
% 0.42/0.83  permutation0:
% 0.42/0.83  end
% 0.42/0.83  
% 0.42/0.83  Proof check complete!
% 0.42/0.83  
% 0.42/0.83  Memory use:
% 0.42/0.83  
% 0.42/0.83  space for terms:        163
% 0.42/0.83  space for clauses:      472
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  clauses generated:      10
% 0.42/0.83  clauses kept:           10
% 0.42/0.83  clauses selected:       7
% 0.42/0.83  clauses deleted:        0
% 0.42/0.83  clauses inuse deleted:  0
% 0.42/0.83  
% 0.42/0.83  subsentry:          0
% 0.42/0.83  literals s-matched: 0
% 0.42/0.83  literals matched:   0
% 0.42/0.83  full subsumption:   0
% 0.42/0.83  
% 0.42/0.83  checksum:           67163509
% 0.42/0.83  
% 0.42/0.83  
% 0.42/0.83  Bliksem ended
%------------------------------------------------------------------------------