↑ Up

Bliksem---1.12.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN072+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 02:47:27 EDT 2022

% Result   : Theorem 0.75s 1.17s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN072+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jul 12 01:07:29 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.75/1.17  *** allocated 10000 integers for termspace/termends
% 0.75/1.17  *** allocated 10000 integers for clauses
% 0.75/1.17  *** allocated 10000 integers for justifications
% 0.75/1.17  Bliksem 1.12
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Automatic Strategy Selection
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Clauses:
% 0.75/1.17  
% 0.75/1.17  { X = skol1, X = skol3 }.
% 0.75/1.17  { big_p( a ) }.
% 0.75/1.17  { big_p( b ) }.
% 0.75/1.17  { ! a = b }.
% 0.75/1.17  { ! big_p( skol2 ) }.
% 0.75/1.17  
% 0.75/1.17  percentage equality = 0.500000, percentage horn = 0.800000
% 0.75/1.17  This is a problem with some equality
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Options Used:
% 0.75/1.17  
% 0.75/1.17  useres =            1
% 0.75/1.17  useparamod =        1
% 0.75/1.17  useeqrefl =         1
% 0.75/1.17  useeqfact =         1
% 0.75/1.17  usefactor =         1
% 0.75/1.17  usesimpsplitting =  0
% 0.75/1.17  usesimpdemod =      5
% 0.75/1.17  usesimpres =        3
% 0.75/1.17  
% 0.75/1.17  resimpinuse      =  1000
% 0.75/1.17  resimpclauses =     20000
% 0.75/1.17  substype =          eqrewr
% 0.75/1.17  backwardsubs =      1
% 0.75/1.17  selectoldest =      5
% 0.75/1.17  
% 0.75/1.17  litorderings [0] =  split
% 0.75/1.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.75/1.17  
% 0.75/1.17  termordering =      kbo
% 0.75/1.17  
% 0.75/1.17  litapriori =        0
% 0.75/1.17  termapriori =       1
% 0.75/1.17  litaposteriori =    0
% 0.75/1.17  termaposteriori =   0
% 0.75/1.17  demodaposteriori =  0
% 0.75/1.17  ordereqreflfact =   0
% 0.75/1.17  
% 0.75/1.17  litselect =         negord
% 0.75/1.17  
% 0.75/1.17  maxweight =         15
% 0.75/1.17  maxdepth =          30000
% 0.75/1.17  maxlength =         115
% 0.75/1.17  maxnrvars =         195
% 0.75/1.17  excuselevel =       1
% 0.75/1.17  increasemaxweight = 1
% 0.75/1.17  
% 0.75/1.17  maxselected =       10000000
% 0.75/1.17  maxnrclauses =      10000000
% 0.75/1.17  
% 0.75/1.17  showgenerated =    0
% 0.75/1.17  showkept =         0
% 0.75/1.17  showselected =     0
% 0.75/1.17  showdeleted =      0
% 0.75/1.17  showresimp =       1
% 0.75/1.17  showstatus =       2000
% 0.75/1.17  
% 0.75/1.17  prologoutput =     0
% 0.75/1.17  nrgoals =          5000000
% 0.75/1.17  totalproof =       1
% 0.75/1.17  
% 0.75/1.17  Symbols occurring in the translation:
% 0.75/1.17  
% 0.75/1.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.17  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.75/1.17  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.75/1.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.17  a  [38, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.75/1.17  big_p  [39, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.75/1.17  b  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.75/1.17  skol1  [41, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 0.75/1.17  skol2  [42, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 0.75/1.17  skol3  [43, 0]      (w:1, o:13, a:1, s:1, b:1).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Starting Search:
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Bliksems!, er is een bewijs:
% 0.75/1.17  % SZS status Theorem
% 0.75/1.17  % SZS output start Refutation
% 0.75/1.17  
% 0.75/1.17  (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 0.75/1.17  (1) {G0,W2,D2,L1,V0,M1} I { big_p( a ) }.
% 0.75/1.17  (2) {G0,W2,D2,L1,V0,M1} I { big_p( b ) }.
% 0.75/1.17  (3) {G0,W3,D2,L1,V0,M1} I { ! b ==> a }.
% 0.75/1.17  (4) {G0,W2,D2,L1,V0,M1} I { ! big_p( skol2 ) }.
% 0.75/1.17  (16) {G1,W5,D2,L2,V0,M2} P(0,1) { big_p( skol1 ), skol3 ==> a }.
% 0.75/1.17  (17) {G1,W5,D2,L2,V0,M2} P(0,1) { big_p( skol3 ), skol1 ==> a }.
% 0.75/1.17  (18) {G2,W5,D2,L2,V0,M2} P(0,2);d(16) { big_p( skol1 ), b ==> a }.
% 0.75/1.17  (19) {G2,W5,D2,L2,V0,M2} P(0,2);d(17) { big_p( skol3 ), b ==> a }.
% 0.75/1.17  (43) {G3,W2,D2,L1,V0,M1} S(18);r(3) { big_p( skol1 ) }.
% 0.75/1.17  (44) {G4,W5,D2,L2,V1,M2} P(0,43) { big_p( X ), X = skol3 }.
% 0.75/1.17  (45) {G5,W3,D2,L1,V0,M1} R(44,4) { skol3 ==> skol2 }.
% 0.75/1.17  (53) {G6,W2,D2,L1,V0,M1} S(19);d(45);r(3) { big_p( skol2 ) }.
% 0.75/1.17  (54) {G7,W0,D0,L0,V0,M0} S(53);r(4) {  }.
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  % SZS output end Refutation
% 0.75/1.17  found a proof!
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Unprocessed initial clauses:
% 0.75/1.17  
% 0.75/1.17  (56) {G0,W6,D2,L2,V1,M2}  { X = skol1, X = skol3 }.
% 0.75/1.17  (57) {G0,W2,D2,L1,V0,M1}  { big_p( a ) }.
% 0.75/1.17  (58) {G0,W2,D2,L1,V0,M1}  { big_p( b ) }.
% 0.75/1.17  (59) {G0,W3,D2,L1,V0,M1}  { ! a = b }.
% 0.75/1.17  (60) {G0,W2,D2,L1,V0,M1}  { ! big_p( skol2 ) }.
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Total Proof:
% 0.75/1.17  
% 0.75/1.17  subsumption: (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 0.75/1.17  parent0: (56) {G0,W6,D2,L2,V1,M2}  { X = skol1, X = skol3 }.
% 0.75/1.17  substitution0:
% 0.75/1.17     X := X
% 0.75/1.17  end
% 0.75/1.17  permutation0:
% 0.75/1.17     0 ==> 0
% 0.75/1.17     1 ==> 1
% 0.75/1.17  end
% 0.75/1.17  
% 0.75/1.17  subsumption: (1) {G0,W2,D2,L1,V0,M1} I { big_p( a ) }.
% 0.75/1.17  parent0: (57) {G0,W2,D2,L1,V0,M1}  { big_p( a ) }.
% 0.75/1.17  substitution0:
% 0.75/1.17  end
% 0.75/1.17  permutation0:
% 0.75/1.17     0 ==> 0
% 0.75/1.17  end
% 0.75/1.17  
% 0.75/1.17  subsumption: (2) {G0,W2,D2,L1,V0,M1} I { big_p( b ) }.
% 0.75/1.17  parent0: (58) {G0,W2,D2,L1,V0,M1}  { big_p( b ) }.
% 0.75/1.17  substitution0:
% 0.75/1.17  end
% 0.75/1.17  permutation0:
% 0.75/1.17     0 ==> 0
% 0.75/1.17  end
% 0.75/1.17  
% 0.75/1.17  eqswap: (73) {G0,W3,D2,L1,V0,M1}  { ! b = a }.
% 0.75/1.17  parent0[0]: (59) {G0,W3,D2,L1,V0,M1}  { ! a = b }.
% 0.75/1.17  substitution0:
% 0.75/1.17  end
% 0.75/1.17  
% 0.75/1.17  subsumption: (3) {G0,W3,D2,L1,V0,M1} I { ! b ==> a }.
% 0.75/1.17  parent0: (73) {G0,W3,D2,L1,V0,M1}  { ! b = a }.
% 0.75/1.17  substitution0:
% 0.75/1.17  end
% 0.75/1.17  permutation0:
% 0.75/1.17     0 ==> 0
% 0.75/1.17  end
% 0.75/1.17  
% 0.75/1.17  subsumption: (4) {G0,W2,D2,L1,V0,M1} I { ! big_p( skol2 ) }.
% 0.75/1.17  parent0: (60) {G0,W2,D2,L1,V0,M1}  { ! big_p( skol2 ) }.
% 0.75/1.17  substitution0:
% 0.75/1.17  end
% 0.75/1.17  permutation0:
% 0.75/1.17     0 ==> 0
% 0.75/1.17  end
% 0.75/1.17  
% 0.75/1.17  *** allocated 15000 integers for clauses
% 156.81/157.19  eqswap: (79) {G0,W6,D2,L2,V1,M2}  { skol3 = X, X = skol1 }.
% 156.81/157.19  parent0[1]: (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 156.81/157.19  substitution0:
% 156.81/157.19     X := X
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  paramod: (432) {G1,W5,D2,L2,V0,M2}  { big_p( skol1 ), skol3 = a }.
% 156.81/157.19  parent0[1]: (79) {G0,W6,D2,L2,V1,M2}  { skol3 = X, X = skol1 }.
% 156.81/157.19  parent1[0; 1]: (1) {G0,W2,D2,L1,V0,M1} I { big_p( a ) }.
% 156.81/157.19  substitution0:
% 156.81/157.19     X := a
% 156.81/157.19  end
% 156.81/157.19  substitution1:
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  subsumption: (16) {G1,W5,D2,L2,V0,M2} P(0,1) { big_p( skol1 ), skol3 ==> a
% 156.81/157.19     }.
% 156.81/157.19  parent0: (432) {G1,W5,D2,L2,V0,M2}  { big_p( skol1 ), skol3 = a }.
% 156.81/157.19  substitution0:
% 156.81/157.19  end
% 156.81/157.19  permutation0:
% 156.81/157.19     0 ==> 0
% 156.81/157.19     1 ==> 1
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  *** allocated 22500 integers for clauses
% 156.81/157.19  *** allocated 15000 integers for termspace/termends
% 156.81/157.19  eqswap: (783) {G0,W6,D2,L2,V1,M2}  { skol1 = X, X = skol3 }.
% 156.81/157.19  parent0[0]: (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 156.81/157.19  substitution0:
% 156.81/157.19     X := X
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  paramod: (786) {G1,W5,D2,L2,V0,M2}  { big_p( skol3 ), skol1 = a }.
% 156.81/157.19  parent0[1]: (783) {G0,W6,D2,L2,V1,M2}  { skol1 = X, X = skol3 }.
% 156.81/157.19  parent1[0; 1]: (1) {G0,W2,D2,L1,V0,M1} I { big_p( a ) }.
% 156.81/157.19  substitution0:
% 156.81/157.19     X := a
% 156.81/157.19  end
% 156.81/157.19  substitution1:
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  subsumption: (17) {G1,W5,D2,L2,V0,M2} P(0,1) { big_p( skol3 ), skol1 ==> a
% 156.81/157.19     }.
% 156.81/157.19  parent0: (786) {G1,W5,D2,L2,V0,M2}  { big_p( skol3 ), skol1 = a }.
% 156.81/157.19  substitution0:
% 156.81/157.19  end
% 156.81/157.19  permutation0:
% 156.81/157.19     0 ==> 0
% 156.81/157.19     1 ==> 1
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  *** allocated 33750 integers for clauses
% 156.81/157.19  *** allocated 22500 integers for termspace/termends
% 156.81/157.19  *** allocated 33750 integers for termspace/termends
% 156.81/157.19  *** allocated 50625 integers for clauses
% 156.81/157.19  *** allocated 15000 integers for justifications
% 156.81/157.19  *** allocated 50625 integers for termspace/termends
% 156.81/157.19  *** allocated 22500 integers for justifications
% 156.81/157.19  *** allocated 75937 integers for clauses
% 156.81/157.19  *** allocated 33750 integers for justifications
% 156.81/157.19  *** allocated 75937 integers for termspace/termends
% 156.81/157.19  *** allocated 50625 integers for justifications
% 156.81/157.19  *** allocated 113905 integers for clauses
% 156.81/157.19  *** allocated 113905 integers for termspace/termends
% 156.81/157.19  *** allocated 75937 integers for justifications
% 156.81/157.19  *** allocated 170857 integers for clauses
% 156.81/157.19  *** allocated 170857 integers for termspace/termends
% 156.81/157.19  *** allocated 113905 integers for justifications
% 156.81/157.19  *** allocated 256285 integers for clauses
% 156.81/157.19  *** allocated 256285 integers for termspace/termends
% 156.81/157.19  *** allocated 170857 integers for justifications
% 156.81/157.19  *** allocated 384427 integers for clauses
% 156.81/157.19  *** allocated 384427 integers for termspace/termends
% 156.81/157.19  *** allocated 256285 integers for justifications
% 156.81/157.19  *** allocated 576640 integers for clauses
% 156.81/157.19  *** allocated 576640 integers for termspace/termends
% 156.81/157.19  *** allocated 384427 integers for justifications
% 156.81/157.19  *** allocated 864960 integers for termspace/termends
% 156.81/157.19  *** allocated 864960 integers for clauses
% 156.81/157.19  *** allocated 576640 integers for justifications
% 156.81/157.19  *** allocated 1297440 integers for termspace/termends
% 156.81/157.19  *** allocated 1297440 integers for clauses
% 156.81/157.19  *** allocated 864960 integers for justifications
% 156.81/157.19  *** allocated 1946160 integers for termspace/termends
% 156.81/157.19  *** allocated 1946160 integers for clauses
% 156.81/157.19  *** allocated 1297440 integers for justifications
% 156.81/157.19  *** allocated 2919240 integers for termspace/termends
% 156.81/157.19  *** allocated 2919240 integers for clauses
% 156.81/157.19  *** allocated 1946160 integers for justifications
% 156.81/157.19  eqswap: (1138) {G0,W6,D2,L2,V1,M2}  { skol3 = X, X = skol1 }.
% 156.81/157.19  parent0[1]: (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 156.81/157.19  substitution0:
% 156.81/157.19     X := X
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  paramod: (178374) {G1,W5,D2,L2,V0,M2}  { big_p( skol1 ), skol3 = b }.
% 156.81/157.19  parent0[1]: (1138) {G0,W6,D2,L2,V1,M2}  { skol3 = X, X = skol1 }.
% 156.81/157.19  parent1[0; 1]: (2) {G0,W2,D2,L1,V0,M1} I { big_p( b ) }.
% 156.81/157.19  substitution0:
% 156.81/157.19     X := b
% 156.81/157.19  end
% 156.81/157.19  substitution1:
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  paramod: (178425) {G2,W7,D2,L3,V0,M3}  { a = b, big_p( skol1 ), big_p( 
% 156.81/157.19    skol1 ) }.
% 156.81/157.19  parent0[1]: (16) {G1,W5,D2,L2,V0,M2} P(0,1) { big_p( skol1 ), skol3 ==> a
% 156.81/157.19     }.
% 156.81/157.19  parent1[1; 1]: (178374) {G1,W5,D2,L2,V0,M2}  { big_p( skol1 ), skol3 = b
% 156.81/157.19     }.
% 156.81/157.19  substitution0:
% 156.81/157.19  end
% 156.81/157.19  substitution1:
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  eqswap: (178426) {G2,W7,D2,L3,V0,M3}  { b = a, big_p( skol1 ), big_p( skol1
% 156.81/157.19     ) }.
% 156.81/157.19  parent0[0]: (178425) {G2,W7,D2,L3,V0,M3}  { a = b, big_p( skol1 ), big_p( 
% 156.81/157.19    skol1 ) }.
% 156.81/157.19  substitution0:
% 156.81/157.19  end
% 156.81/157.19  
% 156.81/157.19  factor: (178427) {G2,W5,D2,L2,V0,M2}  { b = a, big_p( skol1 ) }.
% 156.81/157.19  parent0[1, 2]: (178426) {G2,W7,D2,L3,V0,M3}  { b = a, big_p( skol1 ), big_p
% 156.81/157.20    ( skol1 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (18) {G2,W5,D2,L2,V0,M2} P(0,2);d(16) { big_p( skol1 ), b ==> 
% 156.81/157.20    a }.
% 156.81/157.20  parent0: (178427) {G2,W5,D2,L2,V0,M2}  { b = a, big_p( skol1 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20     0 ==> 1
% 156.81/157.20     1 ==> 0
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  eqswap: (178429) {G0,W6,D2,L2,V1,M2}  { skol1 = X, X = skol3 }.
% 156.81/157.20  parent0[0]: (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 156.81/157.20  substitution0:
% 156.81/157.20     X := X
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  paramod: (178433) {G1,W5,D2,L2,V0,M2}  { big_p( skol3 ), skol1 = b }.
% 156.81/157.20  parent0[1]: (178429) {G0,W6,D2,L2,V1,M2}  { skol1 = X, X = skol3 }.
% 156.81/157.20  parent1[0; 1]: (2) {G0,W2,D2,L1,V0,M1} I { big_p( b ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20     X := b
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  paramod: (178484) {G2,W7,D2,L3,V0,M3}  { a = b, big_p( skol3 ), big_p( 
% 156.81/157.20    skol3 ) }.
% 156.81/157.20  parent0[1]: (17) {G1,W5,D2,L2,V0,M2} P(0,1) { big_p( skol3 ), skol1 ==> a
% 156.81/157.20     }.
% 156.81/157.20  parent1[1; 1]: (178433) {G1,W5,D2,L2,V0,M2}  { big_p( skol3 ), skol1 = b
% 156.81/157.20     }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  eqswap: (178485) {G2,W7,D2,L3,V0,M3}  { b = a, big_p( skol3 ), big_p( skol3
% 156.81/157.20     ) }.
% 156.81/157.20  parent0[0]: (178484) {G2,W7,D2,L3,V0,M3}  { a = b, big_p( skol3 ), big_p( 
% 156.81/157.20    skol3 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  factor: (178486) {G2,W5,D2,L2,V0,M2}  { b = a, big_p( skol3 ) }.
% 156.81/157.20  parent0[1, 2]: (178485) {G2,W7,D2,L3,V0,M3}  { b = a, big_p( skol3 ), big_p
% 156.81/157.20    ( skol3 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (19) {G2,W5,D2,L2,V0,M2} P(0,2);d(17) { big_p( skol3 ), b ==> 
% 156.81/157.20    a }.
% 156.81/157.20  parent0: (178486) {G2,W5,D2,L2,V0,M2}  { b = a, big_p( skol3 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20     0 ==> 1
% 156.81/157.20     1 ==> 0
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  resolution: (178490) {G1,W2,D2,L1,V0,M1}  { big_p( skol1 ) }.
% 156.81/157.20  parent0[0]: (3) {G0,W3,D2,L1,V0,M1} I { ! b ==> a }.
% 156.81/157.20  parent1[1]: (18) {G2,W5,D2,L2,V0,M2} P(0,2);d(16) { big_p( skol1 ), b ==> a
% 156.81/157.20     }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (43) {G3,W2,D2,L1,V0,M1} S(18);r(3) { big_p( skol1 ) }.
% 156.81/157.20  parent0: (178490) {G1,W2,D2,L1,V0,M1}  { big_p( skol1 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20     0 ==> 0
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  eqswap: (178491) {G0,W6,D2,L2,V1,M2}  { skol1 = X, X = skol3 }.
% 156.81/157.20  parent0[0]: (0) {G0,W6,D2,L2,V1,M2} I { X = skol1, X = skol3 }.
% 156.81/157.20  substitution0:
% 156.81/157.20     X := X
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  paramod: (178494) {G1,W5,D2,L2,V1,M2}  { big_p( X ), X = skol3 }.
% 156.81/157.20  parent0[0]: (178491) {G0,W6,D2,L2,V1,M2}  { skol1 = X, X = skol3 }.
% 156.81/157.20  parent1[0; 1]: (43) {G3,W2,D2,L1,V0,M1} S(18);r(3) { big_p( skol1 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20     X := X
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (44) {G4,W5,D2,L2,V1,M2} P(0,43) { big_p( X ), X = skol3 }.
% 156.81/157.20  parent0: (178494) {G1,W5,D2,L2,V1,M2}  { big_p( X ), X = skol3 }.
% 156.81/157.20  substitution0:
% 156.81/157.20     X := X
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20     0 ==> 0
% 156.81/157.20     1 ==> 1
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  eqswap: (178566) {G4,W5,D2,L2,V1,M2}  { skol3 = X, big_p( X ) }.
% 156.81/157.20  parent0[1]: (44) {G4,W5,D2,L2,V1,M2} P(0,43) { big_p( X ), X = skol3 }.
% 156.81/157.20  substitution0:
% 156.81/157.20     X := X
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  resolution: (178567) {G1,W3,D2,L1,V0,M1}  { skol3 = skol2 }.
% 156.81/157.20  parent0[0]: (4) {G0,W2,D2,L1,V0,M1} I { ! big_p( skol2 ) }.
% 156.81/157.20  parent1[1]: (178566) {G4,W5,D2,L2,V1,M2}  { skol3 = X, big_p( X ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20     X := skol2
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (45) {G5,W3,D2,L1,V0,M1} R(44,4) { skol3 ==> skol2 }.
% 156.81/157.20  parent0: (178567) {G1,W3,D2,L1,V0,M1}  { skol3 = skol2 }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20     0 ==> 0
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  paramod: (178572) {G3,W5,D2,L2,V0,M2}  { big_p( skol2 ), b ==> a }.
% 156.81/157.20  parent0[0]: (45) {G5,W3,D2,L1,V0,M1} R(44,4) { skol3 ==> skol2 }.
% 156.81/157.20  parent1[0; 1]: (19) {G2,W5,D2,L2,V0,M2} P(0,2);d(17) { big_p( skol3 ), b 
% 156.81/157.20    ==> a }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  resolution: (178573) {G1,W2,D2,L1,V0,M1}  { big_p( skol2 ) }.
% 156.81/157.20  parent0[0]: (3) {G0,W3,D2,L1,V0,M1} I { ! b ==> a }.
% 156.81/157.20  parent1[1]: (178572) {G3,W5,D2,L2,V0,M2}  { big_p( skol2 ), b ==> a }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (53) {G6,W2,D2,L1,V0,M1} S(19);d(45);r(3) { big_p( skol2 ) }.
% 156.81/157.20  parent0: (178573) {G1,W2,D2,L1,V0,M1}  { big_p( skol2 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20     0 ==> 0
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  resolution: (178574) {G1,W0,D0,L0,V0,M0}  {  }.
% 156.81/157.20  parent0[0]: (4) {G0,W2,D2,L1,V0,M1} I { ! big_p( skol2 ) }.
% 156.81/157.20  parent1[0]: (53) {G6,W2,D2,L1,V0,M1} S(19);d(45);r(3) { big_p( skol2 ) }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  substitution1:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  subsumption: (54) {G7,W0,D0,L0,V0,M0} S(53);r(4) {  }.
% 156.81/157.20  parent0: (178574) {G1,W0,D0,L0,V0,M0}  {  }.
% 156.81/157.20  substitution0:
% 156.81/157.20  end
% 156.81/157.20  permutation0:
% 156.81/157.20  end
% 156.81/157.20  
% 156.81/157.20  Proof check complete!
% 156.81/157.20  
% 156.81/157.20  Memory use:
% 156.81/157.20  
% 156.81/157.20  space for terms:        430
% 156.81/157.20  space for clauses:      2617
% 156.81/157.20  
% 156.81/157.20  
% 156.81/157.20  clauses generated:      388
% 156.81/157.20  clauses kept:           55
% 156.81/157.20  clauses selected:       18
% 156.81/157.20  clauses deleted:        6
% 156.81/157.20  clauses inuse deleted:  0
% 156.81/157.20  
% 156.81/157.20  subsentry:          741962347
% 156.81/157.20  literals s-matched: 11118980
% 156.81/157.20  literals matched:   10120076
% 156.81/157.20  full subsumption:   9020025
% 156.81/157.20  
% 156.81/157.20  checksum:           2008864750
% 156.81/157.20  
% 156.81/157.20  
% 156.81/157.20  Bliksem ended
%------------------------------------------------------------------------------