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Otter---3.3.UNK-Non.f

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWX219-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.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 07:05:27 PM UTC 2026

% Result   : Unknown 2.24s 2.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX219-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12  % Command  : otter-tptp-script %s
% 0.17/0.33  % Computer : n022.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit : 300
% 0.17/0.33  % WCLimit  : 300
% 0.17/0.33  % DateTime : Tue May  5 12:23:05 EDT 2026
% 0.17/0.33  % CPUTime  : 
% 2.00/2.20  ----- Otter 3.3f, August 2004 -----
% 2.00/2.20  The process was started by sandbox on n022.cluster.edu,
% 2.00/2.20  Tue May  5 12:23:06 2026
% 2.00/2.20  The command was "./otter".  The process ID is 22507.
% 2.00/2.20  
% 2.00/2.20  set(prolog_style_variables).
% 2.00/2.20  set(auto).
% 2.00/2.20     dependent: set(auto1).
% 2.00/2.20     dependent: set(process_input).
% 2.00/2.20     dependent: clear(print_kept).
% 2.00/2.20     dependent: clear(print_new_demod).
% 2.00/2.20     dependent: clear(print_back_demod).
% 2.00/2.20     dependent: clear(print_back_sub).
% 2.00/2.20     dependent: set(control_memory).
% 2.00/2.20     dependent: assign(max_mem, 12000).
% 2.00/2.20     dependent: assign(pick_given_ratio, 4).
% 2.00/2.20     dependent: assign(stats_level, 1).
% 2.00/2.20     dependent: assign(max_seconds, 10800).
% 2.00/2.20  clear(print_given).
% 2.00/2.20  
% 2.00/2.20  list(usable).
% 2.00/2.20  0 [] A=A.
% 2.00/2.20  0 [] aux(X,Z,X3,nothing)=bfalse.
% 2.00/2.20  0 [] aux(X,Z,X3,just(Tx3))=e_q(Tx3,Z).
% 2.00/2.20  0 [] notb(btrue)=bfalse.
% 2.00/2.20  0 [] notb(bfalse)=btrue.
% 2.00/2.20  0 [] index(nil,Y)=nothing.
% 2.00/2.20  0 [] index(cons(Z,Xs),zero)=just(Z).
% 2.00/2.20  0 [] index(cons(Z,Xs),suc(N))=index(Xs,N).
% 2.00/2.20  0 [] andb(btrue,Q)=Q.
% 2.00/2.20  0 [] andb(bfalse,Q)=bfalse.
% 2.00/2.20  0 [] tc(X,app(F,X2,Tx),Z)=andb(tc(X,F,arr(Tx,Z)),tc(X,X2,Tx)).
% 2.00/2.20  0 [] tc(X,lam(E),arr(Tx2,T1))=tc(cons(Tx2,X),E,T1).
% 2.00/2.20  0 [] tc(X,lam(E),a)=bfalse.
% 2.00/2.20  0 [] tc(X,lam(E),b)=bfalse.
% 2.00/2.20  0 [] tc(X,lam(E),c)=bfalse.
% 2.00/2.20  0 [] tc(X,var(X3),Z)=aux(X,Z,X3,index(X,X3)).
% 2.00/2.20  0 [] compose(X)=notb(tc(nil,X,arr(arr(b,c),arr(arr(a,b),arr(a,c))))).
% 2.00/2.20  0 [] e_q(a,b)=bfalse.
% 2.00/2.20  0 [] e_q(a,c)=bfalse.
% 2.00/2.20  0 [] e_q(b,a)=bfalse.
% 2.00/2.20  0 [] e_q(b,c)=bfalse.
% 2.00/2.20  0 [] e_q(c,a)=bfalse.
% 2.00/2.20  0 [] e_q(c,b)=bfalse.
% 2.00/2.20  0 [] e_q4(bfalse,btrue)=bfalse.
% 2.00/2.20  0 [] e_q4(btrue,bfalse)=bfalse.
% 2.00/2.20  0 [] e_q(X,Z)!=bfalse|e_q(arr(X,Y),arr(Z,X2))=bfalse.
% 2.00/2.20  0 [] e_q(X,Z)!=btrue|e_q(arr(X,Y),arr(Z,X2))=e_q(Y,X2).
% 2.00/2.20  0 [] e_q(arr(X,Y),a)=bfalse.
% 2.00/2.20  0 [] e_q(arr(X,Y),b)=bfalse.
% 2.00/2.20  0 [] e_q(arr(X,Y),c)=bfalse.
% 2.00/2.20  0 [] e_q(a,arr(X,Y))=bfalse.
% 2.00/2.20  0 [] e_q(b,arr(X,Y))=bfalse.
% 2.00/2.20  0 [] e_q(c,arr(X,Y))=bfalse.
% 2.00/2.20  0 [] e_q3(X,X2)!=bfalse|e_q3(app(X,Y,Z),app(X2,X3,X4))=bfalse.
% 2.00/2.20  0 [] e_q3(Y,X3)!=bfalse|e_q3(X,X2)!=btrue|e_q3(app(X,Y,Z),app(X2,X3,X4))=bfalse.
% 2.00/2.20  0 [] e_q3(X,X2)!=btrue|e_q3(Y,X3)!=btrue|e_q3(app(X,Y,Z),app(X2,X3,X4))=e_q(Z,X4).
% 2.00/2.20  0 [] e_q3(lam(X),lam(Y))=e_q3(X,Y).
% 2.00/2.20  0 [] e_q3(var(X),var(Y))=e_q2(X,Y).
% 2.00/2.20  0 [] e_q3(app(X,Y,Z),lam(X2))=bfalse.
% 2.00/2.20  0 [] e_q3(app(X,Y,Z),var(X2))=bfalse.
% 2.00/2.20  0 [] e_q3(lam(X),app(Y,Z,X2))=bfalse.
% 2.00/2.20  0 [] e_q3(lam(X),var(Y))=bfalse.
% 2.00/2.20  0 [] e_q3(var(X),app(Y,Z,X2))=bfalse.
% 2.00/2.20  0 [] e_q3(var(X),lam(Y))=bfalse.
% 2.00/2.20  0 [] e_q2(suc(X),suc(Y))=e_q2(X,Y).
% 2.00/2.20  0 [] e_q2(zero,suc(X))=bfalse.
% 2.00/2.20  0 [] e_q2(suc(X),zero)=bfalse.
% 2.00/2.20  0 [] e_q(X,X)=btrue.
% 2.00/2.20  0 [] e_q2(X,X)=btrue.
% 2.00/2.20  0 [] e_q3(X,X)=btrue.
% 2.00/2.20  0 [] e_q4(X,X)=btrue.
% 2.00/2.20  0 [] e_q4(compose(X),bfalse)!=btrue.
% 2.00/2.20  end_of_list.
% 2.00/2.20  
% 2.00/2.20  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 2.00/2.20  
% 2.00/2.20  This is a Horn set with equality.  The strategy will be
% 2.00/2.20  Knuth-Bendix and hyper_res, with positive clauses in
% 2.00/2.20  sos and nonpositive clauses in usable.
% 2.00/2.20  
% 2.00/2.20     dependent: set(knuth_bendix).
% 2.00/2.20     dependent: set(anl_eq).
% 2.00/2.20     dependent: set(para_from).
% 2.00/2.20     dependent: set(para_into).
% 2.00/2.20     dependent: clear(para_from_right).
% 2.00/2.20     dependent: clear(para_into_right).
% 2.00/2.20     dependent: set(para_from_vars).
% 2.00/2.20     dependent: set(eq_units_both_ways).
% 2.00/2.20     dependent: set(dynamic_demod_all).
% 2.00/2.20     dependent: set(dynamic_demod).
% 2.00/2.20     dependent: set(order_eq).
% 2.00/2.20     dependent: set(back_demod).
% 2.00/2.20     dependent: set(lrpo).
% 2.00/2.20     dependent: set(hyper_res).
% 2.00/2.20     dependent: clear(order_hyper).
% 2.00/2.20  
% 2.00/2.20  ------------> process usable:
% 2.00/2.20  ** KEPT (pick-wt=14): 1 [] e_q(A,B)!=bfalse|e_q(arr(A,C),arr(B,D))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=16): 2 [] e_q(A,B)!=btrue|e_q(arr(A,C),arr(B,D))=e_q(C,D).
% 2.00/2.20  ** KEPT (pick-wt=16): 3 [] e_q3(A,B)!=bfalse|e_q3(app(A,C,D),app(B,E,F))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=21): 4 [] e_q3(A,B)!=bfalse|e_q3(C,D)!=btrue|e_q3(app(C,A,E),app(D,B,F))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=23): 5 [] e_q3(A,B)!=btrue|e_q3(C,D)!=btrue|e_q3(app(A,C,E),app(B,D,F))=e_q(E,F).
% 2.00/2.20  ** KEPT (pick-wt=6): 6 [] e_q4(compose(A),bfalse)!=btrue.
% 2.00/2.20  
% 2.00/2.20  ------------> process sos:
% 2.00/2.20  ** KEPT (pick-wt=3): 7 [] A=A.
% 2.00/2.20  ** KEPT (pick-wt=7): 8 [] aux(A,B,C,nothing)=bfalse.
% 2.00/2.20  ---> New Demodulator: 9 [new_demod,8] aux(A,B,C,nothing)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=10): 10 [] aux(A,B,C,just(D))=e_q(D,B).
% 2.00/2.20  ** KEPT (pick-wt=4): 11 [] notb(btrue)=bfalse.
% 2.00/2.20  ---> New Demodulator: 12 [new_demod,11] notb(btrue)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=4): 13 [] notb(bfalse)=btrue.
% 2.00/2.20  ---> New Demodulator: 14 [new_demod,13] notb(bfalse)=btrue.
% 2.00/2.20  ** KEPT (pick-wt=5): 15 [] index(nil,A)=nothing.
% 2.00/2.20  ---> New Demodulator: 16 [new_demod,15] index(nil,A)=nothing.
% 2.00/2.20  ** KEPT (pick-wt=8): 17 [] index(cons(A,B),zero)=just(A).
% 2.00/2.20  ** KEPT (pick-wt=10): 18 [] index(cons(A,B),suc(C))=index(B,C).
% 2.00/2.20  ---> New Demodulator: 19 [new_demod,18] index(cons(A,B),suc(C))=index(B,C).
% 2.00/2.20  ** KEPT (pick-wt=5): 20 [] andb(btrue,A)=A.
% 2.00/2.20  ---> New Demodulator: 21 [new_demod,20] andb(btrue,A)=A.
% 2.00/2.20  ** KEPT (pick-wt=5): 22 [] andb(bfalse,A)=bfalse.
% 2.00/2.20  ---> New Demodulator: 23 [new_demod,22] andb(bfalse,A)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=19): 25 [copy,24,flip.1] andb(tc(A,B,arr(C,D)),tc(A,E,C))=tc(A,app(B,E,C),D).
% 2.00/2.20  ---> New Demodulator: 26 [new_demod,25] andb(tc(A,B,arr(C,D)),tc(A,E,C))=tc(A,app(B,E,C),D).
% 2.00/2.20  ** KEPT (pick-wt=14): 27 [] tc(A,lam(B),arr(C,D))=tc(cons(C,A),B,D).
% 2.00/2.20  ** KEPT (pick-wt=7): 28 [] tc(A,lam(B),a)=bfalse.
% 2.00/2.20  ---> New Demodulator: 29 [new_demod,28] tc(A,lam(B),a)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 30 [] tc(A,lam(B),b)=bfalse.
% 2.00/2.20  ---> New Demodulator: 31 [new_demod,30] tc(A,lam(B),b)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 32 [] tc(A,lam(B),c)=bfalse.
% 2.00/2.20  ---> New Demodulator: 33 [new_demod,32] tc(A,lam(B),c)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=13): 34 [] tc(A,var(B),C)=aux(A,C,B,index(A,B)).
% 2.00/2.20  ** KEPT (pick-wt=18): 36 [copy,35,flip.1] notb(tc(nil,A,arr(arr(b,c),arr(arr(a,b),arr(a,c)))))=compose(A).
% 2.00/2.20  ---> New Demodulator: 37 [new_demod,36] notb(tc(nil,A,arr(arr(b,c),arr(arr(a,b),arr(a,c)))))=compose(A).
% 2.00/2.20  ** KEPT (pick-wt=5): 38 [] e_q(a,b)=bfalse.
% 2.00/2.20  ---> New Demodulator: 39 [new_demod,38] e_q(a,b)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 40 [] e_q(a,c)=bfalse.
% 2.00/2.20  ---> New Demodulator: 41 [new_demod,40] e_q(a,c)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 42 [] e_q(b,a)=bfalse.
% 2.00/2.20  ---> New Demodulator: 43 [new_demod,42] e_q(b,a)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 44 [] e_q(b,c)=bfalse.
% 2.00/2.20  ---> New Demodulator: 45 [new_demod,44] e_q(b,c)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 46 [] e_q(c,a)=bfalse.
% 2.00/2.20  ---> New Demodulator: 47 [new_demod,46] e_q(c,a)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 48 [] e_q(c,b)=bfalse.
% 2.00/2.20  ---> New Demodulator: 49 [new_demod,48] e_q(c,b)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 50 [] e_q4(bfalse,btrue)=bfalse.
% 2.00/2.20  ---> New Demodulator: 51 [new_demod,50] e_q4(bfalse,btrue)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=5): 52 [] e_q4(btrue,bfalse)=bfalse.
% 2.00/2.20  ---> New Demodulator: 53 [new_demod,52] e_q4(btrue,bfalse)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 54 [] e_q(arr(A,B),a)=bfalse.
% 2.00/2.20  ---> New Demodulator: 55 [new_demod,54] e_q(arr(A,B),a)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 56 [] e_q(arr(A,B),b)=bfalse.
% 2.00/2.20  ---> New Demodulator: 57 [new_demod,56] e_q(arr(A,B),b)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 58 [] e_q(arr(A,B),c)=bfalse.
% 2.00/2.20  ---> New Demodulator: 59 [new_demod,58] e_q(arr(A,B),c)=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 60 [] e_q(a,arr(A,B))=bfalse.
% 2.00/2.20  ---> New Demodulator: 61 [new_demod,60] e_q(a,arr(A,B))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 62 [] e_q(b,arr(A,B))=bfalse.
% 2.00/2.20  ---> New Demodulator: 63 [new_demod,62] e_q(b,arr(A,B))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 64 [] e_q(c,arr(A,B))=bfalse.
% 2.00/2.20  ---> New Demodulator: 65 [new_demod,64] e_q(c,arr(A,B))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=9): 66 [] e_q3(lam(A),lam(B))=e_q3(A,B).
% 2.00/2.20  ---> New Demodulator: 67 [new_demod,66] e_q3(lam(A),lam(B))=e_q3(A,B).
% 2.00/2.20  ** KEPT (pick-wt=9): 68 [] e_q3(var(A),var(B))=e_q2(A,B).
% 2.00/2.20  ---> New Demodulator: 69 [new_demod,68] e_q3(var(A),var(B))=e_q2(A,B).
% 2.00/2.20  ** KEPT (pick-wt=9): 70 [] e_q3(app(A,B,C),lam(D))=bfalse.
% 2.00/2.20  ---> New Demodulator: 71 [new_demod,70] e_q3(app(A,B,C),lam(D))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=9): 72 [] e_q3(app(A,B,C),var(D))=bfalse.
% 2.00/2.20  ---> New Demodulator: 73 [new_demod,72] e_q3(app(A,B,C),var(D))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=9): 74 [] e_q3(lam(A),app(B,C,D))=bfalse.
% 2.00/2.20  ---> New Demodulator: 75 [new_demod,74] e_q3(lam(A),app(B,C,D))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 76 [] e_q3(lam(A),var(B))=bfalse.
% 2.00/2.20  ---> New Demodulator: 77 [new_demod,76] e_q3(lam(A),var(B))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=9): 78 [] e_q3(var(A),app(B,C,D))=bfalse.
% 2.00/2.20  ---> New Demodulator: 79 [new_demod,78] e_q3(var(A),app(B,C,D))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=7): 80 [] e_q3(var(A),lam(B))=bfalse.
% 2.00/2.20  ---> New Demodulator: 81 [new_demod,80] e_q3(var(A),lam(B))=bfalse.
% 2.00/2.20  ** KEPT (pick-wt=9): 82 [] e_q2(suc(A),suc(B))=e_q2(A,B).
% 2.00/2.20  ---> New Demodulator: 83 [new_demod,82] e_q2(suc(A),suc(B))=e_q2(A,B).
% 2.24/2.43  ** KEPT (pick-wt=6): 84 [] e_q2(zero,suc(A))=bfalse.
% 2.24/2.43  ---> New Demodulator: 85 [new_demod,84] e_q2(zero,suc(A))=bfalse.
% 2.24/2.43  ** KEPT (pick-wt=6): 86 [] e_q2(suc(A),zero)=bfalse.
% 2.24/2.43  ---> New Demodulator: 87 [new_demod,86] e_q2(suc(A),zero)=bfalse.
% 2.24/2.43  ** KEPT (pick-wt=5): 88 [] e_q(A,A)=btrue.
% 2.24/2.43  ---> New Demodulator: 89 [new_demod,88] e_q(A,A)=btrue.
% 2.24/2.43  ** KEPT (pick-wt=5): 90 [] e_q2(A,A)=btrue.
% 2.24/2.43  ---> New Demodulator: 91 [new_demod,90] e_q2(A,A)=btrue.
% 2.24/2.43  ** KEPT (pick-wt=5): 92 [] e_q3(A,A)=btrue.
% 2.24/2.43  ---> New Demodulator: 93 [new_demod,92] e_q3(A,A)=btrue.
% 2.24/2.43  ** KEPT (pick-wt=5): 94 [] e_q4(A,A)=btrue.
% 2.24/2.43  ---> New Demodulator: 95 [new_demod,94] e_q4(A,A)=btrue.
% 2.24/2.43    Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 2.24/2.43  >>>> Starting back demodulation with 9.
% 2.24/2.43  ** KEPT (pick-wt=10): 96 [copy,10,flip.1] e_q(A,B)=aux(C,B,D,just(A)).
% 2.24/2.43  >>>> Starting back demodulation with 12.
% 2.24/2.43  >>>> Starting back demodulation with 14.
% 2.24/2.43  >>>> Starting back demodulation with 16.
% 2.24/2.43  ** KEPT (pick-wt=8): 97 [copy,17,flip.1] just(A)=index(cons(A,B),zero).
% 2.24/2.43  >>>> Starting back demodulation with 19.
% 2.24/2.43  >>>> Starting back demodulation with 21.
% 2.24/2.43  >>>> Starting back demodulation with 23.
% 2.24/2.43  >>>> Starting back demodulation with 26.
% 2.24/2.43  ** KEPT (pick-wt=14): 98 [copy,27,flip.1] tc(cons(A,B),C,D)=tc(B,lam(C),arr(A,D)).
% 2.24/2.43  >>>> Starting back demodulation with 29.
% 2.24/2.43  >>>> Starting back demodulation with 31.
% 2.24/2.43  >>>> Starting back demodulation with 33.
% 2.24/2.43  ** KEPT (pick-wt=13): 99 [copy,34,flip.1] aux(A,B,C,index(A,C))=tc(A,var(C),B).
% 2.24/2.43  >>>> Starting back demodulation with 37.
% 2.24/2.43  >>>> Starting back demodulation with 39.
% 2.24/2.43  >>>> Starting back demodulation with 41.
% 2.24/2.43  >>>> Starting back demodulation with 43.
% 2.24/2.43  >>>> Starting back demodulation with 45.
% 2.24/2.43  >>>> Starting back demodulation with 47.
% 2.24/2.43  >>>> Starting back demodulation with 49.
% 2.24/2.43  >>>> Starting back demodulation with 51.
% 2.24/2.43  >>>> Starting back demodulation with 53.
% 2.24/2.43  >>>> Starting back demodulation with 55.
% 2.24/2.43  >>>> Starting back demodulation with 57.
% 2.24/2.43  >>>> Starting back demodulation with 59.
% 2.24/2.43  >>>> Starting back demodulation with 61.
% 2.24/2.43  >>>> Starting back demodulation with 63.
% 2.24/2.43  >>>> Starting back demodulation with 65.
% 2.24/2.43  >>>> Starting back demodulation with 67.
% 2.24/2.43  >>>> Starting back demodulation with 69.
% 2.24/2.43  >>>> Starting back demodulation with 71.
% 2.24/2.43  >>>> Starting back demodulation with 73.
% 2.24/2.43  >>>> Starting back demodulation with 75.
% 2.24/2.43  >>>> Starting back demodulation with 77.
% 2.24/2.43  >>>> Starting back demodulation with 79.
% 2.24/2.43  >>>> Starting back demodulation with 81.
% 2.24/2.43  >>>> Starting back demodulation with 83.
% 2.24/2.43  >>>> Starting back demodulation with 85.
% 2.24/2.43  >>>> Starting back demodulation with 87.
% 2.24/2.43  >>>> Starting back demodulation with 89.
% 2.24/2.43  >>>> Starting back demodulation with 91.
% 2.24/2.43  >>>> Starting back demodulation with 93.
% 2.24/2.43  >>>> Starting back demodulation with 95.
% 2.24/2.43    Following clause subsumed by 10 during input processing: 0 [copy,96,flip.1] aux(A,B,C,just(D))=e_q(D,B).
% 2.24/2.43    Following clause subsumed by 17 during input processing: 0 [copy,97,flip.1] index(cons(A,B),zero)=just(A).
% 2.24/2.43    Following clause subsumed by 27 during input processing: 0 [copy,98,flip.1] tc(A,lam(B),arr(C,D))=tc(cons(C,A),B,D).
% 2.24/2.43    Following clause subsumed by 34 during input processing: 0 [copy,99,flip.1] tc(A,var(B),C)=aux(A,C,B,index(A,B)).
% 2.24/2.43  
% 2.24/2.43  ======= end of input processing =======
% 2.24/2.43  
% 2.24/2.43  =========== start of search ===========
% 2.24/2.43  
% 2.24/2.43  
% 2.24/2.43  Resetting weight limit to 13.
% 2.24/2.43  
% 2.24/2.43  
% 2.24/2.43  Resetting weight limit to 13.
% 2.24/2.43  
% 2.24/2.43  sos_size=260
% 2.24/2.43  
% 2.24/2.43  Search stopped because sos empty.
% 2.24/2.43  
% 2.24/2.43  
% 2.24/2.43  Search stopped because sos empty.
% 2.24/2.43  
% 2.24/2.43  ============ end of search ============
% 2.24/2.43  
% 2.24/2.43  -------------- statistics -------------
% 2.24/2.43  clauses given                502
% 2.24/2.43  clauses generated          27317
% 2.24/2.43  clauses kept                 529
% 2.24/2.43  clauses forward subsumed    5107
% 2.24/2.43  clauses back subsumed          6
% 2.24/2.43  Kbytes malloced             6835
% 2.24/2.43  
% 2.24/2.43  ----------- times (seconds) -----------
% 2.24/2.43  user CPU time          0.23          (0 hr, 0 min, 0 sec)
% 2.24/2.43  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.24/2.43  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 2.24/2.43  
% 2.24/2.43  Process 22507 finished Tue May  5 12:23:07 2026
% 2.24/2.43  Otter interrupted
% 2.24/2.43  PROOF NOT FOUND
%------------------------------------------------------------------------------