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EQP---0.9e.UNK-Non.f

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%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : SWX214-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n018.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  : 300s
% DateTime : Tue May  5 07:00:11 PM UTC 2026

% Result   : Unknown 22.68s 23.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX214-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.16/0.34  % Computer : n018.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue May  5 12:05:31 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.73/1.12  ----- EQP 0.9e, May 2009 -----
% 0.73/1.12  The job began on n018.cluster.edu, Tue May  5 12:05:32 2026
% 0.73/1.12  The command was "./eqp09e".
% 0.73/1.12  
% 0.73/1.12  set(prolog_style_variables).
% 0.73/1.12  set(lrpo).
% 0.73/1.12  set(basic_paramod).
% 0.73/1.12  set(functional_subsume).
% 0.73/1.12  set(ordered_paramod).
% 0.73/1.12  set(prime_paramod).
% 0.73/1.12  set(para_pairs).
% 0.73/1.12  assign(pick_given_ratio,4).
% 0.73/1.12  clear(print_kept).
% 0.73/1.12  clear(print_new_demod).
% 0.73/1.12  clear(print_back_demod).
% 0.73/1.12  clear(print_given).
% 0.73/1.12  assign(max_mem,64000).
% 0.73/1.12  end_of_commands.
% 0.73/1.12  
% 0.73/1.12  Usable:
% 0.73/1.12  end_of_list.
% 0.73/1.12  
% 0.73/1.12  Sos:
% 0.73/1.12  0 (wt=-1) [] aux(A,B,btrue) = eps.
% 0.73/1.12  0 (wt=-1) [] aux(A,B,bfalse) = nil2.
% 0.73/1.12  0 (wt=-1) [] aux2(A,B,C,btrue) = x(y(step(B,A),C),step(C,A)).
% 0.73/1.12  0 (wt=-1) [] aux2(A,B,C,bfalse) = x(y(step(B,A),C),nil2).
% 0.73/1.12  0 (wt=-1) [] z(nil2,A) = nil2.
% 0.73/1.12  0 (wt=-1) [] z(eps,A) = A.
% 0.73/1.12  0 (wt=-1) [] z(atom(A),nil2) = nil2.
% 0.73/1.12  0 (wt=-1) [] z(atom(A),eps) = atom(A).
% 0.73/1.12  0 (wt=-1) [] z(atom(A),atom(B)) = y(atom(A),atom(B)).
% 0.73/1.12  0 (wt=-1) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)).
% 0.73/1.12  0 (wt=-1) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)).
% 0.73/1.12  0 (wt=-1) [] z(atom(A),star(B)) = y(atom(A),star(B)).
% 0.73/1.12  0 (wt=-1) [] z(x(A,B),nil2) = nil2.
% 0.73/1.12  0 (wt=-1) [] z(x(A,B),eps) = x(A,B).
% 0.73/1.12  0 (wt=-1) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)).
% 0.73/1.12  0 (wt=-1) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)).
% 0.73/1.12  0 (wt=-1) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)).
% 0.73/1.12  0 (wt=-1) [] z(x(A,B),star(C)) = y(x(A,B),star(C)).
% 0.73/1.12  0 (wt=-1) [] z(y(A,B),nil2) = nil2.
% 0.73/1.12  0 (wt=-1) [] z(y(A,B),eps) = y(A,B).
% 0.73/1.12  0 (wt=-1) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)).
% 0.73/1.12  0 (wt=-1) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)).
% 0.73/1.12  0 (wt=-1) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)).
% 0.73/1.12  0 (wt=-1) [] z(y(A,B),star(C)) = y(y(A,B),star(C)).
% 0.73/1.12  0 (wt=-1) [] z(star(A),nil2) = nil2.
% 0.73/1.12  0 (wt=-1) [] z(star(A),eps) = star(A).
% 0.73/1.12  0 (wt=-1) [] z(star(A),atom(B)) = y(star(A),atom(B)).
% 0.73/1.12  0 (wt=-1) [] z(star(A),x(B,C)) = y(star(A),x(B,C)).
% 0.73/1.12  0 (wt=-1) [] z(star(A),y(B,C)) = y(star(A),y(B,C)).
% 0.73/1.12  0 (wt=-1) [] z(star(A),star(B)) = y(star(A),star(B)).
% 0.73/1.12  0 (wt=-1) [] x2(nil2,A) = A.
% 0.73/1.12  0 (wt=-1) [] x2(eps,nil2) = eps.
% 0.73/1.12  0 (wt=-1) [] x2(eps,eps) = x(eps,eps).
% 0.73/1.12  0 (wt=-1) [] x2(eps,atom(A)) = x(eps,atom(A)).
% 0.73/1.12  0 (wt=-1) [] x2(eps,x(A,B)) = x(eps,x(A,B)).
% 0.73/1.12  0 (wt=-1) [] x2(eps,y(A,B)) = x(eps,y(A,B)).
% 0.73/1.12  0 (wt=-1) [] x2(eps,star(A)) = x(eps,star(A)).
% 0.73/1.12  0 (wt=-1) [] x2(atom(A),nil2) = atom(A).
% 0.73/1.12  0 (wt=-1) [] x2(atom(A),eps) = x(atom(A),eps).
% 0.73/1.12  0 (wt=-1) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)).
% 0.73/1.12  0 (wt=-1) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)).
% 0.73/1.12  0 (wt=-1) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)).
% 0.73/1.12  0 (wt=-1) [] x2(atom(A),star(B)) = x(atom(A),star(B)).
% 0.73/1.12  0 (wt=-1) [] x2(x(A,B),nil2) = x(A,B).
% 0.73/1.12  0 (wt=-1) [] x2(x(A,B),eps) = x(x(A,B),eps).
% 0.73/1.12  0 (wt=-1) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)).
% 0.73/1.12  0 (wt=-1) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)).
% 0.73/1.12  0 (wt=-1) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)).
% 0.73/1.12  0 (wt=-1) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)).
% 0.73/1.12  0 (wt=-1) [] x2(y(A,B),nil2) = y(A,B).
% 0.73/1.12  0 (wt=-1) [] x2(y(A,B),eps) = x(y(A,B),eps).
% 0.73/1.12  0 (wt=-1) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)).
% 0.73/1.12  0 (wt=-1) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)).
% 0.73/1.12  0 (wt=-1) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)).
% 0.73/1.12  0 (wt=-1) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)).
% 0.73/1.12  0 (wt=-1) [] x2(star(A),nil2) = star(A).
% 0.73/1.12  0 (wt=-1) [] x2(star(A),eps) = x(star(A),eps).
% 0.73/1.12  0 (wt=-1) [] x2(star(A),atom(B)) = x(star(A),atom(B)).
% 0.73/1.12  0 (wt=-1) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)).
% 0.73/1.12  0 (wt=-1) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)).
% 0.73/1.12  0 (wt=-1) [] x2(star(A),star(B)) = x(star(A),star(B)).
% 0.73/1.12  0 (wt=-1) [] orb(btrue,A) = btrue.
% 0.73/1.12  0 (wt=-1) [] orb(bfalse,A) = A.
% 0.73/1.12  0 (wt=-1) [] andb(btrue,A) = A.
% 0.73/1.12  0 (wt=-1) [] andb(bfalse,A) = bfalse.
% 0.73/1.12  0 (wt=-1) [] eps2(eps) = btrue.
% 0.73/1.12  0 (wt=-1) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)).
% 0.73/1.12  0 (wt=-1) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)).
% 0.73/1.12  0 (wt=-1) [] eps2(star(A)) = btrue.
% 0.73/1.12  0 (wt=-1) [] eps2(nil2) = bfalse.
% 0.73/1.12  0 (wt=-1) [] eps2(atom(A)) = bfalse.
% 0.73/1.12  0 (wt=-1) [] step(atom(A),B) = aux(B,A,eq(A,B)).
% 0.73/1.12  0 (wt=-1) [] step(x(A,B),C) = x(step(A,C),step(B,C)).
% 0.73/1.12  0 (wt=-1) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)).
% 0.73/1.12  0 (wt=-1) [] step(star(A),B) = y(step(A,B),star(A)).
% 0.73/1.12  0 (wt=-1) [] step(nil2,A) = nil2.
% 0.73/1.12  0 (wt=-1) [] step(eps,A) = nil2.
% 0.73/1.12  0 (wt=-1) [] rec(A,nil) = eps2(A).
% 0.73/1.12  0 (wt=-1) [] rec(A,cons(B,C)) = rec(step(A,B),C).
% 0.73/1.12  0 (wt=-1) [] prop_star_plus_easy(A,B,C,D) = eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),rec(x(star(A),star(B)),cons(C,cons(D,nil)))).
% 0.73/1.13  0 (wt=-1) [] eq(a,b) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq(a,c) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq(b,a) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq(b,c) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq(c,a) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq(c,b) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq2(bfalse,btrue) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq2(btrue,bfalse) = bfalse.
% 0.73/1.13  0 (wt=-1) [] eq(A,A) = btrue.
% 0.73/1.13  0 (wt=-1) [] eq2(A,A) = btrue.
% 0.73/1.13  0 (wt=-1) [] -(eq2(prop_star_plus_easy(A,B,C,D),bfalse) = btrue).
% 0.73/1.13  end_of_list.
% 0.73/1.13  
% 0.73/1.13  Demodulators:
% 0.73/1.13  end_of_list.
% 0.73/1.13  
% 0.73/1.13  Passive:
% 0.73/1.13  end_of_list.
% 0.73/1.13  
% 0.73/1.13  Starting to process input.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 1 (wt=6) [] aux(A,B,btrue) = eps.
% 0.73/1.13  1 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 2 (wt=6) [] aux(A,B,bfalse) = nil2.
% 0.73/1.13  2 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue).
% 0.73/1.13  3 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil2) = aux2(B,A,C,bfalse).
% 0.73/1.13  4 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 5 (wt=5) [] z(nil2,A) = nil2.
% 0.73/1.13  5 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 6 (wt=5) [] z(eps,A) = A.
% 0.73/1.13  6 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 7 (wt=6) [] z(atom(A),nil2) = nil2.
% 0.73/1.13  7 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 8 (wt=7) [] z(atom(A),eps) = atom(A).
% 0.73/1.13  8 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 9 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)).
% 0.73/1.13  9 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 10 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)).
% 0.73/1.13  10 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 11 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)).
% 0.73/1.13  11 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 12 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)).
% 0.73/1.13  12 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 13 (wt=7) [] z(x(A,B),nil2) = nil2.
% 0.73/1.13  13 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 14 (wt=9) [] z(x(A,B),eps) = x(A,B).
% 0.73/1.13  14 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 15 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)).
% 0.73/1.13  15 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 16 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)).
% 0.73/1.13  16 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 17 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)).
% 0.73/1.13  17 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 18 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)).
% 0.73/1.13  18 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 19 (wt=7) [] z(y(A,B),nil2) = nil2.
% 0.73/1.13  19 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 20 (wt=9) [] z(y(A,B),eps) = y(A,B).
% 0.73/1.13  20 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 21 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)).
% 0.73/1.13  21 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 22 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)).
% 0.73/1.13  22 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 23 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)).
% 0.73/1.13  23 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 24 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)).
% 0.73/1.13  24 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 25 (wt=6) [] z(star(A),nil2) = nil2.
% 0.73/1.13  25 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 26 (wt=7) [] z(star(A),eps) = star(A).
% 0.73/1.13  26 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 27 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)).
% 0.73/1.13  27 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 28 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)).
% 0.73/1.13  28 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 29 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)).
% 0.73/1.13  29 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 30 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)).
% 0.73/1.13  30 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 31 (wt=5) [] x2(nil2,A) = A.
% 0.73/1.13  31 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 32 (wt=5) [] x2(eps,nil2) = eps.
% 0.73/1.13  32 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 33 (wt=7) [] x2(eps,eps) = x(eps,eps).
% 0.73/1.13  33 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 34 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)).
% 0.73/1.13  34 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 35 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)).
% 0.73/1.13  35 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 36 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)).
% 0.73/1.13  36 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 37 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)).
% 0.73/1.13  37 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 38 (wt=7) [] x2(atom(A),nil2) = atom(A).
% 0.73/1.13  38 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 39 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps).
% 0.73/1.13  39 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 40 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)).
% 0.73/1.13  40 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 41 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)).
% 0.73/1.13  41 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 42 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)).
% 0.73/1.13  42 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 43 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)).
% 0.73/1.13  43 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 44 (wt=9) [] x2(x(A,B),nil2) = x(A,B).
% 0.73/1.13  44 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 45 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps).
% 0.73/1.13  45 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 46 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)).
% 0.73/1.13  46 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 47 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)).
% 0.73/1.13  47 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 48 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)).
% 0.73/1.13  48 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 49 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)).
% 0.73/1.13  49 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 50 (wt=9) [] x2(y(A,B),nil2) = y(A,B).
% 0.73/1.13  50 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 51 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps).
% 0.73/1.13  51 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 52 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)).
% 0.73/1.13  52 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 53 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)).
% 0.73/1.13  53 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 54 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)).
% 0.73/1.13  54 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 55 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)).
% 0.73/1.13  55 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 56 (wt=7) [] x2(star(A),nil2) = star(A).
% 0.73/1.13  56 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 57 (wt=9) [] x2(star(A),eps) = x(star(A),eps).
% 0.73/1.13  57 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 58 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)).
% 0.73/1.13  58 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 59 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)).
% 0.73/1.13  59 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 60 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)).
% 0.73/1.13  60 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 61 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)).
% 0.73/1.13  61 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 62 (wt=5) [] orb(btrue,A) = btrue.
% 0.73/1.13  62 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 63 (wt=5) [] orb(bfalse,A) = A.
% 0.73/1.13  63 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 64 (wt=5) [] andb(btrue,A) = A.
% 0.73/1.13  64 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 65 (wt=5) [] andb(bfalse,A) = bfalse.
% 0.73/1.13  65 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 66 (wt=4) [] eps2(eps) = btrue.
% 0.73/1.13  66 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 67 (wt=10) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)).
% 0.73/1.13  67 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 68 (wt=10) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)).
% 0.73/1.13  68 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 69 (wt=5) [] eps2(star(A)) = btrue.
% 0.73/1.13  69 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 70 (wt=4) [] eps2(nil2) = bfalse.
% 0.73/1.13  70 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 71 (wt=5) [] eps2(atom(A)) = bfalse.
% 0.73/1.13  71 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 72 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)).
% 0.73/1.13  72 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 73 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B).
% 0.73/1.13  73 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 74 (wt=12) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)).
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 75 (wt=12) [flip(74)] aux2(A,B,C,eps2(B)) = step(y(B,C),A).
% 0.73/1.13  clause forward subsumed: 0 (wt=12) [flip(75)] step(y(B,C),A) = aux2(A,B,C,eps2(B)).
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 76 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B).
% 0.73/1.13  76 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 77 (wt=5) [] step(nil2,A) = nil2.
% 0.73/1.13  77 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 78 (wt=5) [] step(eps,A) = nil2.
% 0.73/1.13  78 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 79 (wt=6) [flip(1)] eps2(A) = rec(A,nil).
% 0.73/1.13  79 is a new demodulator.
% 0.73/1.13      -> 79 back demodulating 75.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 80 (wt=13) [back_demod(75),demod([79]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil)).
% 0.73/1.13  80 is a new demodulator.
% 0.73/1.13      -> 80 back demodulating 74.
% 0.73/1.13  clause forward subsumed: 0 (wt=15) [back_demod(74),demod([80,79])] aux2(C,A,B,rec(A,nil)) = aux2(C,A,B,rec(A,nil)).
% 0.73/1.13      -> 79 back demodulating 71.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 81 (wt=6) [back_demod(71),demod([79])] rec(atom(A),nil) = bfalse.
% 0.73/1.13  81 is a new demodulator.
% 0.73/1.13      -> 79 back demodulating 70.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 82 (wt=5) [back_demod(70),demod([79])] rec(nil2,nil) = bfalse.
% 0.73/1.13  82 is a new demodulator.
% 0.73/1.13      -> 79 back demodulating 69.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 83 (wt=6) [back_demod(69),demod([79])] rec(star(A),nil) = btrue.
% 0.73/1.13  83 is a new demodulator.
% 0.73/1.13      -> 79 back demodulating 68.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 84 (wt=13) [back_demod(68),demod([79,79,79])] rec(y(A,B),nil) = andb(rec(A,nil),rec(B,nil)).
% 0.73/1.13  84 is a new demodulator.
% 0.73/1.13      -> 79 back demodulating 67.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 85 (wt=13) [back_demod(67),demod([79,79,79])] rec(x(A,B),nil) = orb(rec(A,nil),rec(B,nil)).
% 0.73/1.13  85 is a new demodulator.
% 0.73/1.13      -> 79 back demodulating 66.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 86 (wt=5) [back_demod(66),demod([79])] rec(eps,nil) = btrue.
% 0.73/1.13  86 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 87 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons(B,C)).
% 0.73/1.13  87 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 88 (wt=28) [flip(1)] eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),rec(x(star(A),star(B)),cons(C,cons(D,nil)))) = prop_star_plus_easy(A,B,C,D).
% 0.73/1.13  88 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 89 (wt=5) [] eq(a,b) = bfalse.
% 0.73/1.13  89 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 90 (wt=5) [] eq(a,c) = bfalse.
% 0.73/1.13  90 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 91 (wt=5) [] eq(b,a) = bfalse.
% 0.73/1.13  91 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 92 (wt=5) [] eq(b,c) = bfalse.
% 0.73/1.13  92 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 93 (wt=5) [] eq(c,a) = bfalse.
% 0.73/1.13  93 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 94 (wt=5) [] eq(c,b) = bfalse.
% 0.73/1.13  94 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 95 (wt=5) [] eq2(bfalse,btrue) = bfalse.
% 0.73/1.13  95 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 96 (wt=5) [] eq2(btrue,bfalse) = bfalse.
% 0.73/1.13  96 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 97 (wt=5) [] eq(A,A) = btrue.
% 0.73/1.13  97 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 98 (wt=5) [] eq2(A,A) = btrue.
% 0.73/1.13  98 is a new demodulator.
% 0.73/1.13  
% 0.73/1.13  ** KEPT: 99 (wt=9) [] -(eq2(prop_star_plus_easy(A,B,C,D),bfalse) = btrue).
% 0.73/1.13  
% 0.73/1.13  After processing input:
% 0.73/1.13  
% 0.73/1.13  Usable:
% 0.73/1.13  end_of_list.
% 0.73/1.13  
% 0.73/1.13  Sos:
% 0.73/1.13  5 (wt=5) [] z(nil2,A) = nil2.
% 0.73/1.13  6 (wt=5) [] z(eps,A) = A.
% 0.73/1.13  31 (wt=5) [] x2(nil2,A) = A.
% 0.73/1.13  32 (wt=5) [] x2(eps,nil2) = eps.
% 0.73/1.13  62 (wt=5) [] orb(btrue,A) = btrue.
% 0.73/1.13  63 (wt=5) [] orb(bfalse,A) = A.
% 0.73/1.13  64 (wt=5) [] andb(btrue,A) = A.
% 0.73/1.13  65 (wt=5) [] andb(bfalse,A) = bfalse.
% 0.73/1.13  77 (wt=5) [] step(nil2,A) = nil2.
% 0.73/1.13  78 (wt=5) [] step(eps,A) = nil2.
% 0.73/1.13  82 (wt=5) [back_demod(70),demod([79])] rec(nil2,nil) = bfalse.
% 0.73/1.13  86 (wt=5) [back_demod(66),demod([79])] rec(eps,nil) = btrue.
% 0.73/1.13  89 (wt=5) [] eq(a,b) = bfalse.
% 0.73/1.13  90 (wt=5) [] eq(a,c) = bfalse.
% 0.73/1.13  91 (wt=5) [] eq(b,a) = bfalse.
% 0.73/1.13  92 (wt=5) [] eq(b,c) = bfalse.
% 0.73/1.13  93 (wt=5) [] eq(c,a) = bfalse.
% 0.73/1.13  94 (wt=5) [] eq(c,b) = bfalse.
% 0.73/1.13  95 (wt=5) [] eq2(bfalse,btrue) = bfalse.
% 0.73/1.13  96 (wt=5) [] eq2(btrue,bfalse) = bfalse.
% 0.73/1.13  97 (wt=5) [] eq(A,A) = btrue.
% 0.73/1.13  98 (wt=5) [] eq2(A,A) = btrue.
% 0.73/1.13  1 (wt=6) [] aux(A,B,btrue) = eps.
% 0.73/1.13  2 (wt=6) [] aux(A,B,bfalse) = nil2.
% 0.73/1.13  7 (wt=6) [] z(atom(A),nil2) = nil2.
% 0.73/1.13  25 (wt=6) [] z(star(A),nil2) = nil2.
% 0.73/1.13  79 (wt=6) [flip(1)] eps2(A) = rec(A,nil).
% 0.73/1.13  81 (wt=6) [back_demod(71),demod([79])] rec(atom(A),nil) = bfalse.
% 0.73/1.13  83 (wt=6) [back_demod(69),demod([79])] rec(star(A),nil) = btrue.
% 0.73/1.13  8 (wt=7) [] z(atom(A),eps) = atom(A).
% 0.73/1.13  13 (wt=7) [] z(x(A,B),nil2) = nil2.
% 0.73/1.13  19 (wt=7) [] z(y(A,B),nil2) = nil2.
% 0.73/1.13  26 (wt=7) [] z(star(A),eps) = star(A).
% 0.73/1.13  33 (wt=7) [] x2(eps,eps) = x(eps,eps).
% 0.73/1.13  38 (wt=7) [] x2(atom(A),nil2) = atom(A).
% 0.73/1.13  56 (wt=7) [] x2(star(A),nil2) = star(A).
% 0.73/1.13  14 (wt=9) [] z(x(A,B),eps) = x(A,B).
% 0.73/1.13  20 (wt=9) [] z(y(A,B),eps) = y(A,B).
% 0.73/1.13  34 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)).
% 0.73/1.13  37 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)).
% 0.73/1.13  39 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps).
% 0.73/1.13  44 (wt=9) [] x2(x(A,B),nil2) = x(A,B).
% 0.73/1.13  50 (wt=9) [] x2(y(A,B),nil2) = y(A,B).
% 0.73/1.13  57 (wt=9) [] x2(star(A),eps) = x(star(A),eps).
% 0.73/1.13  99 (wt=9) [] -(eq2(prop_star_plus_easy(A,B,C,D),bfalse) = btrue).
% 0.73/1.13  9 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)).
% 0.73/1.13  12 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)).
% 0.73/1.13  27 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)).
% 0.73/1.13  30 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)).
% 0.73/1.13  35 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)).
% 0.73/1.13  36 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)).
% 0.73/1.13  40 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)).
% 0.73/1.13  43 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)).
% 0.73/1.13  45 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps).
% 0.73/1.13  51 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps).
% 0.73/1.13  58 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)).
% 0.73/1.13  61 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)).
% 0.73/1.13  72 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)).
% 0.73/1.13  76 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B).
% 0.73/1.13  87 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons(B,C)).
% 0.73/1.13  4 (wt=13) [flip(1)] x(y(step(A,B),C),nil2) = aux2(B,A,C,bfalse).
% 0.73/1.13  10 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)).
% 0.73/1.13  11 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)).
% 0.73/1.13  15 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)).
% 0.73/1.13  18 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)).
% 0.73/1.13  21 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)).
% 0.73/1.13  24 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)).
% 0.73/1.13  28 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)).
% 0.73/1.13  29 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)).
% 0.73/1.13  41 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)).
% 0.73/1.13  42 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)).
% 0.73/1.13  46 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)).
% 0.73/1.13  49 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)).
% 0.73/1.13  52 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)).
% 0.73/1.13  55 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)).
% 0.73/1.13  59 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)).
% 0.73/1.13  60 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)).
% 0.73/1.13  73 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B).
% 0.73/1.13  80 (wt=13) [back_demod(75),demod([79]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil)).
% 0.73/1.13  84 (wt=13) [back_demod(68),demod([79,79,79])] rec(y(A,B),nil) = andb(rec(A,nil),rec(B,nil)).
% 0.73/1.13  85 (wt=13) [back_demod(67),demod([79,79,79])] rec(x(A,B),nil) = orb(rec(A,nil),rec(B,nil)).
% 0.73/1.13  3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue).
% 0.73/1.13  16 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)).
% 0.73/1.13  17 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)).
% 0.73/1.13  22 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)).
% 0.73/1.13  23 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)).
% 0.73/1.13  47 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)).
% 0.73/1.13  48 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)).
% 0.73/1.13  53 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)).
% 0.73/1.13  54 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)).
% 0.73/1.13  88 (wt=28) [flip(1)] eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),rec(x(star(A),star(B)),cons(C,cons(D,nil)))) = prop_star_plus_easy(A,B,C,D).
% 0.73/1.13  end_of_list.
% 0.73/1.13  
% 0.73/1.13  Demodulators:
% 0.73/1.13  1 (wt=6) [] aux(A,B,btrue) = eps.
% 0.73/1.13  2 (wt=6) [] aux(A,B,bfalse) = nil2.
% 0.73/1.13  3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue).
% 0.73/1.13  4 (wt=13) [flip(1)] x(y(step(A,B),C),nil2) = aux2(B,A,C,bfalse).
% 0.73/1.13  5 (wt=5) [] z(nil2,A) = nil2.
% 0.73/1.13  6 (wt=5) [] z(eps,A) = A.
% 0.73/1.13  7 (wt=6) [] z(atom(A),nil2) = nil2.
% 0.73/1.13  8 (wt=7) [] z(atom(A),eps) = atom(A).
% 0.73/1.13  9 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)).
% 0.73/1.13  10 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)).
% 0.73/1.13  11 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)).
% 0.73/1.13  12 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)).
% 0.73/1.13  13 (wt=7) [] z(x(A,B),nil2) = nil2.
% 0.73/1.13  14 (wt=9) [] z(x(A,B),eps) = x(A,B).
% 0.73/1.13  15 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)).
% 0.73/1.13  16 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)).
% 0.73/1.13  17 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)).
% 0.73/1.13  18 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)).
% 0.73/1.13  19 (wt=7) [] z(y(A,B),nil2) = nil2.
% 0.73/1.13  20 (wt=9) [] z(y(A,B),eps) = y(A,B).
% 0.73/1.13  21 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)).
% 0.73/1.13  22 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)).
% 0.73/1.13  23 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)).
% 0.73/1.13  24 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)).
% 0.73/1.13  25 (wt=6) [] z(star(A),nil2) = nil2.
% 0.73/1.13  26 (wt=7) [] z(star(A),eps) = star(A).
% 0.73/1.13  27 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)).
% 0.73/1.13  28 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)).
% 0.73/1.13  29 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)).
% 0.73/1.13  30 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)).
% 0.73/1.13  31 (wt=5) [] x2(nil2,A) = A.
% 0.73/1.13  32 (wt=5) [] x2(eps,nil2) = eps.
% 0.73/1.13  33 (wt=7) [] x2(eps,eps) = x(eps,eps).
% 0.73/1.13  34 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)).
% 0.73/1.13  35 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)).
% 0.73/1.13  36 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)).
% 0.73/1.13  37 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)).
% 0.73/1.13  38 (wt=7) [] x2(atom(A),nil2) = atom(A).
% 0.73/1.13  39 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps).
% 0.73/1.13  40 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)).
% 0.73/1.13  41 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)).
% 0.73/1.13  42 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)).
% 0.73/1.13  43 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)).
% 0.73/1.13  44 (wt=9) [] x2(x(A,B),nil2) = x(A,B).
% 0.73/1.13  45 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps).
% 0.73/1.13  46 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)).
% 0.73/1.13  47 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)).
% 0.73/1.13  48 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)).
% 0.73/1.13  49 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)).
% 0.73/1.13  50 (wt=9) [] x2(y(A,B),nil2) = y(A,B).
% 0.73/1.13  51 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps).
% 0.73/1.13  52 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)).
% 0.73/1.13  53 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)).
% 0.73/1.13  54 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)).
% 0.73/1.13  55 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)).
% 0.73/1.13  56 (wt=7) [] x2(star(A),nil2) = star(A).
% 0.73/1.13  57 (wt=9) [] x2(star(A),eps) = x(star(A),eps).
% 22.68/23.05  58 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)).
% 22.68/23.05  59 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)).
% 22.68/23.05  60 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)).
% 22.68/23.05  61 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)).
% 22.68/23.05  62 (wt=5) [] orb(btrue,A) = btrue.
% 22.68/23.05  63 (wt=5) [] orb(bfalse,A) = A.
% 22.68/23.05  64 (wt=5) [] andb(btrue,A) = A.
% 22.68/23.05  65 (wt=5) [] andb(bfalse,A) = bfalse.
% 22.68/23.05  72 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)).
% 22.68/23.05  73 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B).
% 22.68/23.05  76 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B).
% 22.68/23.05  77 (wt=5) [] step(nil2,A) = nil2.
% 22.68/23.05  78 (wt=5) [] step(eps,A) = nil2.
% 22.68/23.05  79 (wt=6) [flip(1)] eps2(A) = rec(A,nil).
% 22.68/23.05  80 (wt=13) [back_demod(75),demod([79]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil)).
% 22.68/23.05  81 (wt=6) [back_demod(71),demod([79])] rec(atom(A),nil) = bfalse.
% 22.68/23.05  82 (wt=5) [back_demod(70),demod([79])] rec(nil2,nil) = bfalse.
% 22.68/23.05  83 (wt=6) [back_demod(69),demod([79])] rec(star(A),nil) = btrue.
% 22.68/23.05  84 (wt=13) [back_demod(68),demod([79,79,79])] rec(y(A,B),nil) = andb(rec(A,nil),rec(B,nil)).
% 22.68/23.05  85 (wt=13) [back_demod(67),demod([79,79,79])] rec(x(A,B),nil) = orb(rec(A,nil),rec(B,nil)).
% 22.68/23.05  86 (wt=5) [back_demod(66),demod([79])] rec(eps,nil) = btrue.
% 22.68/23.05  87 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons(B,C)).
% 22.68/23.05  88 (wt=28) [flip(1)] eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),rec(x(star(A),star(B)),cons(C,cons(D,nil)))) = prop_star_plus_easy(A,B,C,D).
% 22.68/23.05  89 (wt=5) [] eq(a,b) = bfalse.
% 22.68/23.05  90 (wt=5) [] eq(a,c) = bfalse.
% 22.68/23.05  91 (wt=5) [] eq(b,a) = bfalse.
% 22.68/23.05  92 (wt=5) [] eq(b,c) = bfalse.
% 22.68/23.05  93 (wt=5) [] eq(c,a) = bfalse.
% 22.68/23.05  94 (wt=5) [] eq(c,b) = bfalse.
% 22.68/23.05  95 (wt=5) [] eq2(bfalse,btrue) = bfalse.
% 22.68/23.05  96 (wt=5) [] eq2(btrue,bfalse) = bfalse.
% 22.68/23.05  97 (wt=5) [] eq(A,A) = btrue.
% 22.68/23.05  98 (wt=5) [] eq2(A,A) = btrue.
% 22.68/23.05  end_of_list.
% 22.68/23.05  
% 22.68/23.05  Passive:
% 22.68/23.05  end_of_list.
% 22.68/23.05  
% 22.68/23.05  ------------- memory usage ------------
% 22.68/23.05  Memory dynamically allocated (tp_alloc): 63964.
% 22.68/23.05    type (bytes each)        gets      frees     in use      avail      bytes
% 22.68/23.05  sym_ent (  96)               86          0         86          0      8.1 K
% 22.68/23.05  term (  16)             5737188    4769662     967526          0  18746.7 K
% 22.68/23.05  gen_ptr (   8)          4831422     654686    4176736          0  32630.8 K
% 22.68/23.05  context ( 808)         25483748   25483746          2          8      7.9 K
% 22.68/23.05  trail (  12)              26829      26829          0          8      0.1 K
% 22.68/23.05  bt_node (  68)         12100077   12100074          3         19      1.5 K
% 22.68/23.05  ac_position (285432)          0          0          0          0      0.0 K
% 22.68/23.05  ac_match_pos (14044)          0          0          0          0      0.0 K
% 22.68/23.05  ac_match_free_vars_pos (4020)
% 22.68/23.05                                0          0          0          0      0.0 K
% 22.68/23.05  discrim (  12)           620885      27392     593493          0   6955.0 K
% 22.68/23.05  flat (  40)            13002924   13002924          0         57      2.2 K
% 22.68/23.05  discrim_pos (  12)       212195     212195          0          1      0.0 K
% 22.68/23.05  fpa_head (  12)           43143          0      43143          0    505.6 K
% 22.68/23.05  fpa_tree (  28)           88720      88720          0         23      0.6 K
% 22.68/23.05  fpa_pos (  36)            49050      49050          0          1      0.0 K
% 22.68/23.05  literal (  12)           282610     244146      38464          0    450.8 K
% 22.68/23.05  clause (  24)            282610     244146      38464          0    901.5 K
% 22.68/23.05  list (  12)               10646      10590         56          4      0.7 K
% 22.68/23.05  list_pos (  20)          130043       8968     121075          0   2364.7 K
% 22.68/23.05  pair_index (   40)              2          0          2          0      0.1 K
% 22.68/23.05  
% 22.68/23.05  -------------- statistics -------------
% 22.68/23.05  Clauses input                 91
% 22.68/23.05    Usable input                   0
% 22.68/23.05    Sos input                     91
% 22.68/23.05    Demodulators input             0
% 22.68/23.05    Passive input                  0
% 22.68/23.05  
% 22.68/23.05  Processed BS (before search) 101
% 22.68/23.05  Forward subsumed BS            2
% 22.68/23.05  Kept BS                       99
% 22.68/23.05  New demodulators BS           96
% 22.68/23.05  Back demodulated BS            8
% 22.68/23.05  
% 22.68/23.05  Clauses or pairs given   1647704
% 22.68/23.05  Clauses generated         141691
% 22.68/23.05  Forward subsumed          103327
% 22.68/23.05  Deleted by weight              0
% 22.68/23.05  Deleted by variable count      0
% 22.68/23.05  Kept                       38364
% 22.68/23.05  New demodulators           10491
% 22.68/23.05  Back demodulated            1971
% 22.68/23.06  Ordered paramod prunes         0
% 22.68/23.06  Basic paramod prunes     5483127
% 22.68/23.06  Prime paramod prunes           2
% 22.68/23.06  Semantic prunes                0
% 22.68/23.06  
% 22.68/23.06  Rewrite attmepts         3194275
% 22.68/23.06  Rewrites                  150537
% 22.68/23.06  
% 22.68/23.06  FPA overloads                  0
% 22.68/23.06  FPA underloads                 0
% 22.68/23.06  
% 22.68/23.06  Usable size                    0
% 22.68/23.06  Sos size                   36484
% 22.68/23.06  Demodulators size           9644
% 22.68/23.06  Passive size                   0
% 22.68/23.06  Disabled size               1979
% 22.68/23.06  
% 22.68/23.06  Proofs found                   0
% 22.68/23.06  
% 22.68/23.06  ----------- times (seconds) ----------- Tue May  5 12:05:54 2026
% 22.68/23.06  
% 22.68/23.06  user CPU time            16.39   (0 hr, 0 min, 16 sec)
% 22.68/23.06  system CPU time           5.54   (0 hr, 0 min, 5 sec)
% 22.68/23.06  wall-clock time          22      (0 hr, 0 min, 22 sec)
% 22.68/23.06  input time                0.00
% 22.68/23.06  paramodulation time       1.78
% 22.68/23.06  demodulation time         0.46
% 22.68/23.06  orient time               0.26
% 22.68/23.06  weigh time                0.06
% 22.68/23.06  forward subsume time      0.14
% 22.68/23.06  back demod find time      0.25
% 22.68/23.06  conflict time             0.03
% 22.68/23.06  LRPO time                 0.12
% 22.68/23.06  store clause time
% 22.68/23.06  
% 22.68/23.06  ********** ABNORMAL END **********
% 22.68/23.06  ********** in tp_alloc, max_mem parameter exceeded.
% 22.68/23.06          10.83
% 22.68/23.06  disable clause time       0.57
% 22.68/23.06  prime paramod time        0.11
% 22.68/23.06  semantics time            0.00
% 22.68/23.06  
% 22.68/23.06  EQP interrupted
%------------------------------------------------------------------------------