TSTP Solution File: SYN063+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN063+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n012.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 02:47:18 EDT 2022

% Result   : Theorem 0.71s 1.09s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN063+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jul 12 03:15:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  
% 0.71/1.09  { alpha8, alpha2 }.
% 0.71/1.09  { alpha8, alpha4 }.
% 0.71/1.09  { alpha8, ! alpha1 }.
% 0.71/1.09  { ! alpha8, alpha1 }.
% 0.71/1.09  { ! alpha8, ! alpha2, ! alpha4 }.
% 0.71/1.09  { ! alpha1, alpha2, alpha8 }.
% 0.71/1.09  { ! alpha1, alpha4, alpha8 }.
% 0.71/1.09  { ! alpha4, ! big_p( a ), alpha7 }.
% 0.71/1.09  { big_p( a ), alpha4 }.
% 0.71/1.09  { ! alpha7, alpha4 }.
% 0.71/1.09  { ! alpha7, ! big_p( b ), big_p( c ) }.
% 0.71/1.09  { big_p( b ), alpha7 }.
% 0.71/1.09  { ! big_p( c ), alpha7 }.
% 0.71/1.09  { ! alpha2, ! big_p( a ), alpha5 }.
% 0.71/1.09  { big_p( a ), alpha2 }.
% 0.71/1.09  { ! alpha5, alpha2 }.
% 0.71/1.09  { ! alpha5, big_p( X ), big_p( c ) }.
% 0.71/1.09  { ! big_p( skol1 ), alpha5 }.
% 0.71/1.09  { ! big_p( c ), alpha5 }.
% 0.71/1.09  { ! alpha1, ! alpha3, big_p( c ) }.
% 0.71/1.09  { alpha3, alpha1 }.
% 0.71/1.09  { ! big_p( c ), alpha1 }.
% 0.71/1.09  { ! alpha3, big_p( a ) }.
% 0.71/1.09  { ! alpha3, alpha6 }.
% 0.71/1.09  { ! big_p( a ), ! alpha6, alpha3 }.
% 0.71/1.09  { ! alpha6, ! big_p( skol2 ), big_p( b ) }.
% 0.71/1.09  { big_p( X ), alpha6 }.
% 0.71/1.09  { ! big_p( b ), alpha6 }.
% 0.71/1.09  
% 0.71/1.09  percentage equality = 0.000000, percentage horn = 0.692308
% 0.71/1.09  This a non-horn, non-equality problem
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Options Used:
% 0.71/1.09  
% 0.71/1.09  useres =            1
% 0.71/1.09  useparamod =        0
% 0.71/1.09  useeqrefl =         0
% 0.71/1.09  useeqfact =         0
% 0.71/1.09  usefactor =         1
% 0.71/1.09  usesimpsplitting =  0
% 0.71/1.09  usesimpdemod =      0
% 0.71/1.09  usesimpres =        3
% 0.71/1.09  
% 0.71/1.09  resimpinuse      =  1000
% 0.71/1.09  resimpclauses =     20000
% 0.71/1.09  substype =          standard
% 0.71/1.09  backwardsubs =      1
% 0.71/1.09  selectoldest =      5
% 0.71/1.09  
% 0.71/1.09  litorderings [0] =  split
% 0.71/1.09  litorderings [1] =  liftord
% 0.71/1.09  
% 0.71/1.09  termordering =      none
% 0.71/1.09  
% 0.71/1.09  litapriori =        1
% 0.71/1.09  termapriori =       0
% 0.71/1.09  litaposteriori =    0
% 0.71/1.09  termaposteriori =   0
% 0.71/1.09  demodaposteriori =  0
% 0.71/1.09  ordereqreflfact =   0
% 0.71/1.09  
% 0.71/1.09  litselect =         none
% 0.71/1.09  
% 0.71/1.09  maxweight =         15
% 0.71/1.09  maxdepth =          30000
% 0.71/1.09  maxlength =         115
% 0.71/1.09  maxnrvars =         195
% 0.71/1.09  excuselevel =       1
% 0.71/1.09  increasemaxweight = 1
% 0.71/1.09  
% 0.71/1.09  maxselected =       10000000
% 0.71/1.09  maxnrclauses =      10000000
% 0.71/1.09  
% 0.71/1.09  showgenerated =    0
% 0.71/1.09  showkept =         0
% 0.71/1.09  showselected =     0
% 0.71/1.09  showdeleted =      0
% 0.71/1.09  showresimp =       1
% 0.71/1.09  showstatus =       2000
% 0.71/1.09  
% 0.71/1.09  prologoutput =     0
% 0.71/1.09  nrgoals =          5000000
% 0.71/1.09  totalproof =       1
% 0.71/1.09  
% 0.71/1.09  Symbols occurring in the translation:
% 0.71/1.09  
% 0.71/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.09  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 0.71/1.09  !  [4, 1]      (w:0, o:21, a:1, s:1, b:0), 
% 0.71/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.09  a  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.71/1.09  big_p  [37, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.09  b  [38, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.71/1.09  c  [39, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.09  alpha1  [41, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.71/1.09  alpha2  [42, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.09  alpha3  [43, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.09  alpha4  [44, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.71/1.09  alpha5  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.71/1.09  alpha6  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.71/1.09  alpha7  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.71/1.09  alpha8  [48, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.71/1.09  skol1  [49, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.71/1.09  skol2  [50, 0]      (w:1, o:20, a:1, s:1, b:0).
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Starting Search:
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksems!, er is een bewijs:
% 0.71/1.09  % SZS status Theorem
% 0.71/1.09  % SZS output start Refutation
% 0.71/1.09  
% 0.71/1.09  (0) {G0,W2,D1,L2,V0,M1} I { alpha2, alpha8 }.
% 0.71/1.09  (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.09  (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.09  (4) {G0,W3,D1,L3,V0,M1} I { ! alpha2, ! alpha4, ! alpha8 }.
% 0.71/1.09  (6) {G0,W3,D2,L2,V0,M1} I { alpha4, big_p( a ) }.
% 0.71/1.09  (7) {G0,W2,D1,L2,V0,M1} I { alpha4, ! alpha7 }.
% 0.71/1.09  (10) {G0,W3,D2,L2,V0,M1} I { alpha7, ! big_p( c ) }.
% 0.71/1.09  (11) {G0,W4,D2,L3,V0,M1} I { ! big_p( a ), alpha5, ! alpha2 }.
% 0.71/1.09  (12) {G0,W3,D2,L2,V0,M1} I { alpha2, big_p( a ) }.
% 0.71/1.09  (13) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha5 }.
% 0.71/1.09  (14) {G0,W5,D2,L3,V1,M1} I { big_p( X ), big_p( c ), ! alpha5 }.
% 0.71/1.09  (16) {G0,W3,D2,L2,V0,M1} I { alpha5, ! big_p( c ) }.
% 0.71/1.09  (17) {G0,W4,D2,L3,V0,M1} I { ! alpha1, big_p( c ), ! alpha3 }.
% 0.71/1.09  (18) {G0,W2,D1,L2,V0,M1} I { alpha1, alpha3 }.
% 0.71/1.09  (19) {G0,W3,D2,L2,V0,M1} I { alpha1, ! big_p( c ) }.
% 0.71/1.09  (20) {G0,W3,D2,L2,V0,M1} I { big_p( a ), ! alpha3 }.
% 0.71/1.09  (22) {G0,W4,D2,L3,V0,M1} I { ! big_p( a ), alpha3, ! alpha6 }.
% 0.71/1.09  (24) {G0,W3,D2,L2,V1,M1} I { alpha6, big_p( X ) }.
% 0.71/1.09  (25) {G1,W1,D1,L1,V0,M1} I;r(24) { alpha6 }.
% 0.71/1.09  (26) {G1,W3,D2,L2,V0,M1} F(14) { big_p( c ), ! alpha5 }.
% 0.71/1.09  (27) {G1,W2,D1,L2,V0,M1} R(3,0) { alpha1, alpha2 }.
% 0.71/1.09  (29) {G1,W3,D2,L2,V0,M1} R(20,18) { alpha1, big_p( a ) }.
% 0.71/1.09  (32) {G2,W3,D2,L2,V0,M1} S(22);r(25) { alpha3, ! big_p( a ) }.
% 0.71/1.09  (33) {G3,W2,D1,L2,V0,M1} R(32,12) { alpha2, alpha3 }.
% 0.71/1.09  (34) {G3,W2,D1,L2,V0,M1} R(32,6) { alpha3, alpha4 }.
% 0.71/1.09  (35) {G2,W2,D1,L2,V0,M1} R(11,27);r(29) { alpha1, alpha5 }.
% 0.71/1.09  (36) {G3,W1,D1,L1,V0,M1} R(35,26);r(19) { alpha1 }.
% 0.71/1.09  (37) {G4,W1,D1,L1,V0,M1} R(36,2) { alpha8 }.
% 0.71/1.09  (38) {G5,W2,D1,L2,V0,M1} R(37,4) { ! alpha2, ! alpha4 }.
% 0.71/1.09  (39) {G6,W1,D1,L1,V0,M1} R(34,38);r(33) { alpha3 }.
% 0.71/1.09  (41) {G7,W2,D2,L1,V0,M1} S(17);r(36);r(39) { big_p( c ) }.
% 0.71/1.09  (43) {G8,W1,D1,L1,V0,M1} R(41,10) { alpha7 }.
% 0.71/1.09  (44) {G8,W1,D1,L1,V0,M1} R(41,16) { alpha5 }.
% 0.71/1.09  (45) {G9,W1,D1,L1,V0,M1} R(43,7) { alpha4 }.
% 0.71/1.09  (46) {G10,W1,D1,L1,V0,M1} R(45,38) { ! alpha2 }.
% 0.71/1.09  (47) {G11,W0,D0,L0,V0,M0} R(44,13);r(46) {  }.
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  % SZS output end Refutation
% 0.71/1.09  found a proof!
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Unprocessed initial clauses:
% 0.71/1.09  
% 0.71/1.09  (49) {G0,W2,D1,L2,V0,M2}  { alpha8, alpha2 }.
% 0.71/1.09  (50) {G0,W2,D1,L2,V0,M2}  { alpha8, alpha4 }.
% 0.71/1.09  (51) {G0,W2,D1,L2,V0,M2}  { alpha8, ! alpha1 }.
% 0.71/1.09  (52) {G0,W2,D1,L2,V0,M2}  { ! alpha8, alpha1 }.
% 0.71/1.09  (53) {G0,W3,D1,L3,V0,M3}  { ! alpha8, ! alpha2, ! alpha4 }.
% 0.71/1.09  (54) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha2, alpha8 }.
% 0.71/1.09  (55) {G0,W3,D1,L3,V0,M3}  { ! alpha1, alpha4, alpha8 }.
% 0.71/1.09  (56) {G0,W4,D2,L3,V0,M3}  { ! alpha4, ! big_p( a ), alpha7 }.
% 0.71/1.09  (57) {G0,W3,D2,L2,V0,M2}  { big_p( a ), alpha4 }.
% 0.71/1.09  (58) {G0,W2,D1,L2,V0,M2}  { ! alpha7, alpha4 }.
% 0.71/1.09  (59) {G0,W5,D2,L3,V0,M3}  { ! alpha7, ! big_p( b ), big_p( c ) }.
% 0.71/1.09  (60) {G0,W3,D2,L2,V0,M2}  { big_p( b ), alpha7 }.
% 0.71/1.09  (61) {G0,W3,D2,L2,V0,M2}  { ! big_p( c ), alpha7 }.
% 0.71/1.09  (62) {G0,W4,D2,L3,V0,M3}  { ! alpha2, ! big_p( a ), alpha5 }.
% 0.71/1.09  (63) {G0,W3,D2,L2,V0,M2}  { big_p( a ), alpha2 }.
% 0.71/1.09  (64) {G0,W2,D1,L2,V0,M2}  { ! alpha5, alpha2 }.
% 0.71/1.09  (65) {G0,W5,D2,L3,V1,M3}  { ! alpha5, big_p( X ), big_p( c ) }.
% 0.71/1.09  (66) {G0,W3,D2,L2,V0,M2}  { ! big_p( skol1 ), alpha5 }.
% 0.71/1.09  (67) {G0,W3,D2,L2,V0,M2}  { ! big_p( c ), alpha5 }.
% 0.71/1.09  (68) {G0,W4,D2,L3,V0,M3}  { ! alpha1, ! alpha3, big_p( c ) }.
% 0.71/1.09  (69) {G0,W2,D1,L2,V0,M2}  { alpha3, alpha1 }.
% 0.71/1.09  (70) {G0,W3,D2,L2,V0,M2}  { ! big_p( c ), alpha1 }.
% 0.71/1.09  (71) {G0,W3,D2,L2,V0,M2}  { ! alpha3, big_p( a ) }.
% 0.71/1.09  (72) {G0,W2,D1,L2,V0,M2}  { ! alpha3, alpha6 }.
% 0.71/1.09  (73) {G0,W4,D2,L3,V0,M3}  { ! big_p( a ), ! alpha6, alpha3 }.
% 0.71/1.09  (74) {G0,W5,D2,L3,V0,M3}  { ! alpha6, ! big_p( skol2 ), big_p( b ) }.
% 0.71/1.09  (75) {G0,W3,D2,L2,V1,M2}  { big_p( X ), alpha6 }.
% 0.71/1.09  (76) {G0,W3,D2,L2,V0,M2}  { ! big_p( b ), alpha6 }.
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Total Proof:
% 0.71/1.09  
% 0.71/1.09  subsumption: (0) {G0,W2,D1,L2,V0,M1} I { alpha2, alpha8 }.
% 0.71/1.09  parent0: (49) {G0,W2,D1,L2,V0,M2}  { alpha8, alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.09  parent0: (51) {G0,W2,D1,L2,V0,M2}  { alpha8, ! alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.09  parent0: (52) {G0,W2,D1,L2,V0,M2}  { ! alpha8, alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (4) {G0,W3,D1,L3,V0,M1} I { ! alpha2, ! alpha4, ! alpha8 }.
% 0.71/1.09  parent0: (53) {G0,W3,D1,L3,V0,M3}  { ! alpha8, ! alpha2, ! alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 2
% 0.71/1.09     1 ==> 0
% 0.71/1.09     2 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (6) {G0,W3,D2,L2,V0,M1} I { alpha4, big_p( a ) }.
% 0.71/1.09  parent0: (57) {G0,W3,D2,L2,V0,M2}  { big_p( a ), alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (7) {G0,W2,D1,L2,V0,M1} I { alpha4, ! alpha7 }.
% 0.71/1.09  parent0: (58) {G0,W2,D1,L2,V0,M2}  { ! alpha7, alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (10) {G0,W3,D2,L2,V0,M1} I { alpha7, ! big_p( c ) }.
% 0.71/1.09  parent0: (61) {G0,W3,D2,L2,V0,M2}  { ! big_p( c ), alpha7 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (11) {G0,W4,D2,L3,V0,M1} I { ! big_p( a ), alpha5, ! alpha2
% 0.71/1.09     }.
% 0.71/1.09  parent0: (62) {G0,W4,D2,L3,V0,M3}  { ! alpha2, ! big_p( a ), alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 2
% 0.71/1.09     1 ==> 0
% 0.71/1.09     2 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (12) {G0,W3,D2,L2,V0,M1} I { alpha2, big_p( a ) }.
% 0.71/1.09  parent0: (63) {G0,W3,D2,L2,V0,M2}  { big_p( a ), alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (13) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha5 }.
% 0.71/1.09  parent0: (64) {G0,W2,D1,L2,V0,M2}  { ! alpha5, alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (14) {G0,W5,D2,L3,V1,M1} I { big_p( X ), big_p( c ), ! alpha5
% 0.71/1.09     }.
% 0.71/1.09  parent0: (65) {G0,W5,D2,L3,V1,M3}  { ! alpha5, big_p( X ), big_p( c ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09     X := X
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 2
% 0.71/1.09     1 ==> 0
% 0.71/1.09     2 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (16) {G0,W3,D2,L2,V0,M1} I { alpha5, ! big_p( c ) }.
% 0.71/1.09  parent0: (67) {G0,W3,D2,L2,V0,M2}  { ! big_p( c ), alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (17) {G0,W4,D2,L3,V0,M1} I { ! alpha1, big_p( c ), ! alpha3
% 0.71/1.09     }.
% 0.71/1.09  parent0: (68) {G0,W4,D2,L3,V0,M3}  { ! alpha1, ! alpha3, big_p( c ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 2
% 0.71/1.09     2 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (18) {G0,W2,D1,L2,V0,M1} I { alpha1, alpha3 }.
% 0.71/1.09  parent0: (69) {G0,W2,D1,L2,V0,M2}  { alpha3, alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (19) {G0,W3,D2,L2,V0,M1} I { alpha1, ! big_p( c ) }.
% 0.71/1.09  parent0: (70) {G0,W3,D2,L2,V0,M2}  { ! big_p( c ), alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (20) {G0,W3,D2,L2,V0,M1} I { big_p( a ), ! alpha3 }.
% 0.71/1.09  parent0: (71) {G0,W3,D2,L2,V0,M2}  { ! alpha3, big_p( a ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (22) {G0,W4,D2,L3,V0,M1} I { ! big_p( a ), alpha3, ! alpha6
% 0.71/1.09     }.
% 0.71/1.09  parent0: (73) {G0,W4,D2,L3,V0,M3}  { ! big_p( a ), ! alpha6, alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 2
% 0.71/1.09     2 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (24) {G0,W3,D2,L2,V1,M1} I { alpha6, big_p( X ) }.
% 0.71/1.09  parent0: (75) {G0,W3,D2,L2,V1,M2}  { big_p( X ), alpha6 }.
% 0.71/1.09  substitution0:
% 0.71/1.09     X := X
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (98) {G1,W2,D1,L2,V0,M2}  { alpha6, alpha6 }.
% 0.71/1.09  parent0[0]: (76) {G0,W3,D2,L2,V0,M2}  { ! big_p( b ), alpha6 }.
% 0.71/1.09  parent1[1]: (24) {G0,W3,D2,L2,V1,M1} I { alpha6, big_p( X ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09     X := b
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  factor: (99) {G1,W1,D1,L1,V0,M1}  { alpha6 }.
% 0.71/1.09  parent0[0, 1]: (98) {G1,W2,D1,L2,V0,M2}  { alpha6, alpha6 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (25) {G1,W1,D1,L1,V0,M1} I;r(24) { alpha6 }.
% 0.71/1.09  parent0: (99) {G1,W1,D1,L1,V0,M1}  { alpha6 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  factor: (100) {G0,W3,D2,L2,V0,M2}  { big_p( c ), ! alpha5 }.
% 0.71/1.09  parent0[0, 1]: (14) {G0,W5,D2,L3,V1,M1} I { big_p( X ), big_p( c ), ! 
% 0.71/1.09    alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09     X := c
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (26) {G1,W3,D2,L2,V0,M1} F(14) { big_p( c ), ! alpha5 }.
% 0.71/1.09  parent0: (100) {G0,W3,D2,L2,V0,M2}  { big_p( c ), ! alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (101) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha2 }.
% 0.71/1.09  parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.09  parent1[1]: (0) {G0,W2,D1,L2,V0,M1} I { alpha2, alpha8 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (27) {G1,W2,D1,L2,V0,M1} R(3,0) { alpha1, alpha2 }.
% 0.71/1.09  parent0: (101) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (102) {G1,W3,D2,L2,V0,M2}  { big_p( a ), alpha1 }.
% 0.71/1.09  parent0[1]: (20) {G0,W3,D2,L2,V0,M1} I { big_p( a ), ! alpha3 }.
% 0.71/1.09  parent1[1]: (18) {G0,W2,D1,L2,V0,M1} I { alpha1, alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (29) {G1,W3,D2,L2,V0,M1} R(20,18) { alpha1, big_p( a ) }.
% 0.71/1.09  parent0: (102) {G1,W3,D2,L2,V0,M2}  { big_p( a ), alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (103) {G1,W3,D2,L2,V0,M2}  { ! big_p( a ), alpha3 }.
% 0.71/1.09  parent0[2]: (22) {G0,W4,D2,L3,V0,M1} I { ! big_p( a ), alpha3, ! alpha6 }.
% 0.71/1.09  parent1[0]: (25) {G1,W1,D1,L1,V0,M1} I;r(24) { alpha6 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (32) {G2,W3,D2,L2,V0,M1} S(22);r(25) { alpha3, ! big_p( a )
% 0.71/1.09     }.
% 0.71/1.09  parent0: (103) {G1,W3,D2,L2,V0,M2}  { ! big_p( a ), alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (104) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha2 }.
% 0.71/1.09  parent0[1]: (32) {G2,W3,D2,L2,V0,M1} S(22);r(25) { alpha3, ! big_p( a ) }.
% 0.71/1.09  parent1[1]: (12) {G0,W3,D2,L2,V0,M1} I { alpha2, big_p( a ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (33) {G3,W2,D1,L2,V0,M1} R(32,12) { alpha2, alpha3 }.
% 0.71/1.09  parent0: (104) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (105) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha4 }.
% 0.71/1.09  parent0[1]: (32) {G2,W3,D2,L2,V0,M1} S(22);r(25) { alpha3, ! big_p( a ) }.
% 0.71/1.09  parent1[1]: (6) {G0,W3,D2,L2,V0,M1} I { alpha4, big_p( a ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (34) {G3,W2,D1,L2,V0,M1} R(32,6) { alpha3, alpha4 }.
% 0.71/1.09  parent0: (105) {G1,W2,D1,L2,V0,M2}  { alpha3, alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (106) {G1,W4,D2,L3,V0,M3}  { ! big_p( a ), alpha5, alpha1 }.
% 0.71/1.09  parent0[2]: (11) {G0,W4,D2,L3,V0,M1} I { ! big_p( a ), alpha5, ! alpha2 }.
% 0.71/1.09  parent1[1]: (27) {G1,W2,D1,L2,V0,M1} R(3,0) { alpha1, alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (107) {G2,W3,D1,L3,V0,M3}  { alpha5, alpha1, alpha1 }.
% 0.71/1.09  parent0[0]: (106) {G1,W4,D2,L3,V0,M3}  { ! big_p( a ), alpha5, alpha1 }.
% 0.71/1.09  parent1[1]: (29) {G1,W3,D2,L2,V0,M1} R(20,18) { alpha1, big_p( a ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  factor: (108) {G2,W2,D1,L2,V0,M2}  { alpha5, alpha1 }.
% 0.71/1.09  parent0[1, 2]: (107) {G2,W3,D1,L3,V0,M3}  { alpha5, alpha1, alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (35) {G2,W2,D1,L2,V0,M1} R(11,27);r(29) { alpha1, alpha5 }.
% 0.71/1.09  parent0: (108) {G2,W2,D1,L2,V0,M2}  { alpha5, alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 1
% 0.71/1.09     1 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (109) {G2,W3,D2,L2,V0,M2}  { big_p( c ), alpha1 }.
% 0.71/1.09  parent0[1]: (26) {G1,W3,D2,L2,V0,M1} F(14) { big_p( c ), ! alpha5 }.
% 0.71/1.09  parent1[1]: (35) {G2,W2,D1,L2,V0,M1} R(11,27);r(29) { alpha1, alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (110) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.71/1.09  parent0[1]: (19) {G0,W3,D2,L2,V0,M1} I { alpha1, ! big_p( c ) }.
% 0.71/1.09  parent1[0]: (109) {G2,W3,D2,L2,V0,M2}  { big_p( c ), alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  factor: (111) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.71/1.09  parent0[0, 1]: (110) {G1,W2,D1,L2,V0,M2}  { alpha1, alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (36) {G3,W1,D1,L1,V0,M1} R(35,26);r(19) { alpha1 }.
% 0.71/1.09  parent0: (111) {G1,W1,D1,L1,V0,M1}  { alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (112) {G1,W1,D1,L1,V0,M1}  { alpha8 }.
% 0.71/1.09  parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.09  parent1[0]: (36) {G3,W1,D1,L1,V0,M1} R(35,26);r(19) { alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (37) {G4,W1,D1,L1,V0,M1} R(36,2) { alpha8 }.
% 0.71/1.09  parent0: (112) {G1,W1,D1,L1,V0,M1}  { alpha8 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (113) {G1,W2,D1,L2,V0,M2}  { ! alpha2, ! alpha4 }.
% 0.71/1.09  parent0[2]: (4) {G0,W3,D1,L3,V0,M1} I { ! alpha2, ! alpha4, ! alpha8 }.
% 0.71/1.09  parent1[0]: (37) {G4,W1,D1,L1,V0,M1} R(36,2) { alpha8 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (38) {G5,W2,D1,L2,V0,M1} R(37,4) { ! alpha2, ! alpha4 }.
% 0.71/1.09  parent0: (113) {G1,W2,D1,L2,V0,M2}  { ! alpha2, ! alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09     1 ==> 1
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (114) {G4,W2,D1,L2,V0,M2}  { ! alpha2, alpha3 }.
% 0.71/1.09  parent0[1]: (38) {G5,W2,D1,L2,V0,M1} R(37,4) { ! alpha2, ! alpha4 }.
% 0.71/1.09  parent1[1]: (34) {G3,W2,D1,L2,V0,M1} R(32,6) { alpha3, alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (115) {G4,W2,D1,L2,V0,M2}  { alpha3, alpha3 }.
% 0.71/1.09  parent0[0]: (114) {G4,W2,D1,L2,V0,M2}  { ! alpha2, alpha3 }.
% 0.71/1.09  parent1[0]: (33) {G3,W2,D1,L2,V0,M1} R(32,12) { alpha2, alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  factor: (116) {G4,W1,D1,L1,V0,M1}  { alpha3 }.
% 0.71/1.09  parent0[0, 1]: (115) {G4,W2,D1,L2,V0,M2}  { alpha3, alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (39) {G6,W1,D1,L1,V0,M1} R(34,38);r(33) { alpha3 }.
% 0.71/1.09  parent0: (116) {G4,W1,D1,L1,V0,M1}  { alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (117) {G1,W3,D2,L2,V0,M2}  { big_p( c ), ! alpha3 }.
% 0.71/1.09  parent0[0]: (17) {G0,W4,D2,L3,V0,M1} I { ! alpha1, big_p( c ), ! alpha3 }.
% 0.71/1.09  parent1[0]: (36) {G3,W1,D1,L1,V0,M1} R(35,26);r(19) { alpha1 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (118) {G2,W2,D2,L1,V0,M1}  { big_p( c ) }.
% 0.71/1.09  parent0[1]: (117) {G1,W3,D2,L2,V0,M2}  { big_p( c ), ! alpha3 }.
% 0.71/1.09  parent1[0]: (39) {G6,W1,D1,L1,V0,M1} R(34,38);r(33) { alpha3 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (41) {G7,W2,D2,L1,V0,M1} S(17);r(36);r(39) { big_p( c ) }.
% 0.71/1.09  parent0: (118) {G2,W2,D2,L1,V0,M1}  { big_p( c ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (119) {G1,W1,D1,L1,V0,M1}  { alpha7 }.
% 0.71/1.09  parent0[1]: (10) {G0,W3,D2,L2,V0,M1} I { alpha7, ! big_p( c ) }.
% 0.71/1.09  parent1[0]: (41) {G7,W2,D2,L1,V0,M1} S(17);r(36);r(39) { big_p( c ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (43) {G8,W1,D1,L1,V0,M1} R(41,10) { alpha7 }.
% 0.71/1.09  parent0: (119) {G1,W1,D1,L1,V0,M1}  { alpha7 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (120) {G1,W1,D1,L1,V0,M1}  { alpha5 }.
% 0.71/1.09  parent0[1]: (16) {G0,W3,D2,L2,V0,M1} I { alpha5, ! big_p( c ) }.
% 0.71/1.09  parent1[0]: (41) {G7,W2,D2,L1,V0,M1} S(17);r(36);r(39) { big_p( c ) }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (44) {G8,W1,D1,L1,V0,M1} R(41,16) { alpha5 }.
% 0.71/1.09  parent0: (120) {G1,W1,D1,L1,V0,M1}  { alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (121) {G1,W1,D1,L1,V0,M1}  { alpha4 }.
% 0.71/1.09  parent0[1]: (7) {G0,W2,D1,L2,V0,M1} I { alpha4, ! alpha7 }.
% 0.71/1.09  parent1[0]: (43) {G8,W1,D1,L1,V0,M1} R(41,10) { alpha7 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (45) {G9,W1,D1,L1,V0,M1} R(43,7) { alpha4 }.
% 0.71/1.09  parent0: (121) {G1,W1,D1,L1,V0,M1}  { alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (122) {G6,W1,D1,L1,V0,M1}  { ! alpha2 }.
% 0.71/1.09  parent0[1]: (38) {G5,W2,D1,L2,V0,M1} R(37,4) { ! alpha2, ! alpha4 }.
% 0.71/1.09  parent1[0]: (45) {G9,W1,D1,L1,V0,M1} R(43,7) { alpha4 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (46) {G10,W1,D1,L1,V0,M1} R(45,38) { ! alpha2 }.
% 0.71/1.09  parent0: (122) {G6,W1,D1,L1,V0,M1}  { ! alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09     0 ==> 0
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (123) {G1,W1,D1,L1,V0,M1}  { alpha2 }.
% 0.71/1.09  parent0[1]: (13) {G0,W2,D1,L2,V0,M1} I { alpha2, ! alpha5 }.
% 0.71/1.09  parent1[0]: (44) {G8,W1,D1,L1,V0,M1} R(41,16) { alpha5 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  resolution: (124) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.09  parent0[0]: (46) {G10,W1,D1,L1,V0,M1} R(45,38) { ! alpha2 }.
% 0.71/1.09  parent1[0]: (123) {G1,W1,D1,L1,V0,M1}  { alpha2 }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  substitution1:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  subsumption: (47) {G11,W0,D0,L0,V0,M0} R(44,13);r(46) {  }.
% 0.71/1.09  parent0: (124) {G2,W0,D0,L0,V0,M0}  {  }.
% 0.71/1.09  substitution0:
% 0.71/1.09  end
% 0.71/1.09  permutation0:
% 0.71/1.09  end
% 0.71/1.09  
% 0.71/1.09  Proof check complete!
% 0.71/1.09  
% 0.71/1.09  Memory use:
% 0.71/1.09  
% 0.71/1.09  space for terms:        403
% 0.71/1.09  space for clauses:      2017
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  clauses generated:      66
% 0.71/1.09  clauses kept:           48
% 0.71/1.09  clauses selected:       41
% 0.71/1.09  clauses deleted:        6
% 0.71/1.09  clauses inuse deleted:  0
% 0.71/1.09  
% 0.71/1.09  subsentry:          23
% 0.71/1.09  literals s-matched: 19
% 0.71/1.09  literals matched:   19
% 0.71/1.09  full subsumption:   0
% 0.71/1.09  
% 0.71/1.09  checksum:           484479
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Bliksem ended
%------------------------------------------------------------------------------