TSTP Solution File: LCL435-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL435-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 : Sun Jul 17 07:53:40 EDT 2022

% Result   : Unsatisfiable 0.46s 1.14s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL435-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Mon Jul  4 04:54:26 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.46/1.14  *** allocated 10000 integers for termspace/termends
% 0.46/1.14  *** allocated 10000 integers for clauses
% 0.46/1.14  *** allocated 10000 integers for justifications
% 0.46/1.14  Bliksem 1.12
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  Automatic Strategy Selection
% 0.46/1.14  
% 0.46/1.14  Clauses:
% 0.46/1.14  [
% 0.46/1.14     [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.46/1.14    'v_pa', 't_a' ), 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.46/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ],
% 0.46/1.14     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, 
% 0.46/1.14    X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.46/1.14     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.46/1.14    'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 'c_PropLog_Othms'( Y, Z )
% 0.46/1.14    , 'tc_PropLog_Opl'( Z ) ) ]
% 0.46/1.14  ] .
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  percentage equality = 0.000000, percentage horn = 1.000000
% 0.46/1.14  This is a near-Horn, non-equality  problem
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  Options Used:
% 0.46/1.14  
% 0.46/1.14  useres =            1
% 0.46/1.14  useparamod =        0
% 0.46/1.14  useeqrefl =         0
% 0.46/1.14  useeqfact =         0
% 0.46/1.14  usefactor =         1
% 0.46/1.14  usesimpsplitting =  0
% 0.46/1.14  usesimpdemod =      0
% 0.46/1.14  usesimpres =        4
% 0.46/1.14  
% 0.46/1.14  resimpinuse      =  1000
% 0.46/1.14  resimpclauses =     20000
% 0.46/1.14  substype =          standard
% 0.46/1.14  backwardsubs =      1
% 0.46/1.14  selectoldest =      5
% 0.46/1.14  
% 0.46/1.14  litorderings [0] =  split
% 0.46/1.14  litorderings [1] =  liftord
% 0.46/1.14  
% 0.46/1.14  termordering =      none
% 0.46/1.14  
% 0.46/1.14  litapriori =        1
% 0.46/1.14  termapriori =       0
% 0.46/1.14  litaposteriori =    0
% 0.46/1.14  termaposteriori =   0
% 0.46/1.14  demodaposteriori =  0
% 0.46/1.14  ordereqreflfact =   0
% 0.46/1.14  
% 0.46/1.14  litselect =         negative
% 0.46/1.14  
% 0.46/1.14  maxweight =         30000
% 0.46/1.14  maxdepth =          30000
% 0.46/1.14  maxlength =         115
% 0.46/1.14  maxnrvars =         195
% 0.46/1.14  excuselevel =       0
% 0.46/1.14  increasemaxweight = 0
% 0.46/1.14  
% 0.46/1.14  maxselected =       10000000
% 0.46/1.14  maxnrclauses =      10000000
% 0.46/1.14  
% 0.46/1.14  showgenerated =    0
% 0.46/1.14  showkept =         0
% 0.46/1.14  showselected =     0
% 0.46/1.14  showdeleted =      0
% 0.46/1.14  showresimp =       1
% 0.46/1.14  showstatus =       2000
% 0.46/1.14  
% 0.46/1.14  prologoutput =     1
% 0.46/1.14  nrgoals =          5000000
% 0.46/1.14  totalproof =       1
% 0.46/1.14  
% 0.46/1.14  Symbols occurring in the translation:
% 0.46/1.14  
% 0.46/1.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.46/1.14  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.46/1.14  !  [4, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.46/1.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.46/1.14  'v_p'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.46/1.14  'v_pa'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.46/1.14  'v_q'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.46/1.14  't_a'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.46/1.14  'c_PropLog_Opl_Oop_A_N_62'  [43, 3]      (w:1, o:50, a:1, s:1, b:0), 
% 0.46/1.14  'v_H'  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.46/1.14  'c_PropLog_Othms'  [45, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.46/1.14  'tc_PropLog_Opl'  [46, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.46/1.14  'c_in'  [47, 3]      (w:1, o:51, a:1, s:1, b:0).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  Starting Search:
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  Bliksems!, er is een bewijs:
% 0.46/1.14  % SZS status Unsatisfiable
% 0.46/1.14  % SZS output start Refutation
% 0.46/1.14  
% 0.46/1.14  clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.46/1.14    'v_pa', 't_a' ), 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.46/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.14  .
% 0.46/1.14  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.46/1.14    'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  .
% 0.46/1.14  clause( 2, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 
% 0.46/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.46/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.14  .
% 0.46/1.14  clause( 3, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Oop_A_N_62'( Z, Y, T ), T )
% 0.46/1.14    , T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.14  .
% 0.46/1.14  clause( 5, [] )
% 0.46/1.14  .
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  % SZS output end Refutation
% 0.46/1.14  found a proof!
% 0.46/1.14  
% 0.46/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.14  
% 0.46/1.14  initialclauses(
% 0.46/1.14  [ clause( 7, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.46/1.14    'v_pa', 't_a' ), 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.46/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.14  , clause( 8, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.46/1.14    'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  , clause( 9, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z
% 0.46/1.14     ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 'c_PropLog_Othms'( 
% 0.46/1.14    Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  ] ).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  subsumption(
% 0.46/1.14  clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.46/1.14    'v_pa', 't_a' ), 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.46/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.14  , clause( 7, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.46/1.14    'v_pa', 't_a' ), 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.46/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  subsumption(
% 0.46/1.14  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.46/1.14    'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  , clause( 8, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.46/1.14    'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.46/1.14    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  subsumption(
% 0.46/1.14  clause( 2, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 
% 0.46/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.46/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.14  , clause( 9, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z
% 0.46/1.14     ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 'c_PropLog_Othms'( 
% 0.46/1.14    Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.46/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  resolution(
% 0.46/1.14  clause( 10, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Oop_A_N_62'( Z, Y, T ), T )
% 0.46/1.14    , T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.14  , clause( 2, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( T, X, Z ), 
% 0.46/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.46/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.46/1.14  , 1, clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.46/1.14    'tc_PropLog_Opl'( Z ) ) ] )
% 0.46/1.14  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Z, Y, T ), T ) ), :=( Y, U ), :=( Z, T ), 
% 0.46/1.14    :=( T, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), 
% 0.46/1.14    :=( T, U )] )).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  subsumption(
% 0.46/1.14  clause( 3, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Oop_A_N_62'( Z, Y, T ), T )
% 0.46/1.14    , T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.14  , clause( 10, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Oop_A_N_62'( Z, Y, T ), T )
% 0.46/1.14    , T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.46/1.14    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  resolution(
% 0.46/1.14  clause( 11, [] )
% 0.46/1.14  , clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.46/1.14    'v_pa', 't_a' ), 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.46/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.46/1.14  , 0, clause( 3, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.46/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, 'c_PropLog_Opl_Oop_A_N_62'( Z, Y, T ), T )
% 0.46/1.14    , T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.46/1.14  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_p' ), :=( Y, 
% 0.46/1.14    'v_pa' ), :=( Z, 'v_q' ), :=( T, 't_a' ), :=( U, 'v_H' )] )).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  subsumption(
% 0.46/1.14  clause( 5, [] )
% 0.46/1.14  , clause( 11, [] )
% 0.46/1.14  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  end.
% 0.46/1.14  
% 0.46/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.14  
% 0.46/1.14  Memory use:
% 0.46/1.14  
% 0.46/1.14  space for terms:        200
% 0.46/1.14  space for clauses:      696
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  clauses generated:      6
% 0.46/1.14  clauses kept:           6
% 0.46/1.14  clauses selected:       4
% 0.46/1.14  clauses deleted:        0
% 0.46/1.14  clauses inuse deleted:  0
% 0.46/1.14  
% 0.46/1.14  subsentry:          0
% 0.46/1.14  literals s-matched: 0
% 0.46/1.14  literals matched:   0
% 0.46/1.14  full subsumption:   0
% 0.46/1.14  
% 0.46/1.14  checksum:           -2063599436
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  Bliksem ended
%------------------------------------------------------------------------------