%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX223-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n026.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 2.11s 2.32s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX223-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : otter-tptp-script %s % 0.17/0.33 % Computer : n026.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 12:38:08 EDT 2026 % 0.17/0.33 % CPUTime : % 1.92/2.14 ----- Otter 3.3f, August 2004 ----- % 1.92/2.14 The process was started by sandbox on n026.cluster.edu, % 1.92/2.14 Tue May 5 12:38:08 2026 % 1.92/2.14 The command was "./otter". The process ID is 10884. % 1.92/2.14 % 1.92/2.14 set(prolog_style_variables). % 1.92/2.14 set(auto). % 1.92/2.14 dependent: set(auto1). % 1.92/2.14 dependent: set(process_input). % 1.92/2.14 dependent: clear(print_kept). % 1.92/2.14 dependent: clear(print_new_demod). % 1.92/2.14 dependent: clear(print_back_demod). % 1.92/2.14 dependent: clear(print_back_sub). % 1.92/2.14 dependent: set(control_memory). % 1.92/2.14 dependent: assign(max_mem, 12000). % 1.92/2.14 dependent: assign(pick_given_ratio, 4). % 1.92/2.14 dependent: assign(stats_level, 1). % 1.92/2.14 dependent: assign(max_seconds, 10800). % 1.92/2.14 clear(print_given). % 1.92/2.14 % 1.92/2.14 list(usable). % 1.92/2.14 0 [] A=A. % 1.92/2.14 0 [] aux(X,Z,X3,nothing)=bfalse. % 1.92/2.14 0 [] aux(X,Z,X3,just(Tx3))=e_q(Tx3,Z). % 1.92/2.14 0 [] notb(btrue)=bfalse. % 1.92/2.14 0 [] notb(bfalse)=btrue. % 1.92/2.14 0 [] index(nil,Y)=nothing. % 1.92/2.14 0 [] index(cons(Z,Xs),zero)=just(Z). % 1.92/2.14 0 [] index(cons(Z,Xs),suc(N))=index(Xs,N). % 1.92/2.14 0 [] andb(btrue,Q)=Q. % 1.92/2.14 0 [] andb(bfalse,Q)=bfalse. % 1.92/2.14 0 [] nf(app(lam(X3),Z,X2))=bfalse. % 1.92/2.14 0 [] nf(app(app(X,X3,X4),Z,X2))=andb(nf(app(X,X3,X4)),nf(Z)). % 1.92/2.14 0 [] nf(app(var(X),Z,X2))=andb(nf(var(X)),nf(Z)). % 1.92/2.14 0 [] nf(lam(E))=nf(E). % 1.92/2.14 0 [] nf(var(X4))=btrue. % 1.92/2.14 0 [] tc(X,app(F,X2,Tx),Z)=andb(tc(X,F,arr(Tx,Z)),tc(X,X2,Tx)). % 1.92/2.14 0 [] tc(X,lam(E),arr(Tx2,T1))=tc(cons(Tx2,X),E,T1). % 1.92/2.14 0 [] tc(X,lam(E),a)=bfalse. % 1.92/2.14 0 [] tc(X,lam(E),b)=bfalse. % 1.92/2.14 0 [] tc(X,lam(E),c)=bfalse. % 1.92/2.14 0 [] tc(X,var(X3),Z)=aux(X,Z,X3,index(X,X3)). % 1.92/2.14 0 [] sat_synth_nf_w(X)=notb(andb(nf(X),tc(nil,X,arr(arr(a,arr(a,b)),arr(a,b))))). % 1.92/2.14 0 [] e_q(a,b)=bfalse. % 1.92/2.14 0 [] e_q(a,c)=bfalse. % 1.92/2.14 0 [] e_q(b,a)=bfalse. % 1.92/2.14 0 [] e_q(b,c)=bfalse. % 1.92/2.14 0 [] e_q(c,a)=bfalse. % 1.92/2.14 0 [] e_q(c,b)=bfalse. % 1.92/2.14 0 [] e_q4(bfalse,btrue)=bfalse. % 1.92/2.14 0 [] e_q4(btrue,bfalse)=bfalse. % 1.92/2.14 0 [] e_q2(suc(X),suc(Y))=e_q2(X,Y). % 1.92/2.14 0 [] e_q2(zero,suc(X))=bfalse. % 1.92/2.14 0 [] e_q2(suc(X),zero)=bfalse. % 1.92/2.14 0 [] e_q(X,Z)!=bfalse|e_q(arr(X,Y),arr(Z,X2))=bfalse. % 1.92/2.14 0 [] e_q(X,Z)!=btrue|e_q(arr(X,Y),arr(Z,X2))=e_q(Y,X2). % 1.92/2.14 0 [] e_q(arr(X,Y),a)=bfalse. % 1.92/2.14 0 [] e_q(arr(X,Y),b)=bfalse. % 1.92/2.14 0 [] e_q(arr(X,Y),c)=bfalse. % 1.92/2.14 0 [] e_q(a,arr(X,Y))=bfalse. % 1.92/2.14 0 [] e_q(b,arr(X,Y))=bfalse. % 1.92/2.14 0 [] e_q(c,arr(X,Y))=bfalse. % 1.92/2.14 0 [] e_q3(X,X2)!=bfalse|e_q3(app(X,Y,Z),app(X2,X3,X4))=bfalse. % 1.92/2.14 0 [] e_q3(Y,X3)!=bfalse|e_q3(X,X2)!=btrue|e_q3(app(X,Y,Z),app(X2,X3,X4))=bfalse. % 1.92/2.14 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). % 1.92/2.14 0 [] e_q3(lam(X),lam(Y))=e_q3(X,Y). % 1.92/2.14 0 [] e_q3(var(X),var(Y))=e_q2(X,Y). % 1.92/2.14 0 [] e_q3(app(X,Y,Z),lam(X2))=bfalse. % 1.92/2.14 0 [] e_q3(app(X,Y,Z),var(X2))=bfalse. % 1.92/2.14 0 [] e_q3(lam(X),app(Y,Z,X2))=bfalse. % 1.92/2.14 0 [] e_q3(lam(X),var(Y))=bfalse. % 1.92/2.14 0 [] e_q3(var(X),app(Y,Z,X2))=bfalse. % 1.92/2.14 0 [] e_q3(var(X),lam(Y))=bfalse. % 1.92/2.14 0 [] e_q(X,X)=btrue. % 1.92/2.14 0 [] e_q2(X,X)=btrue. % 1.92/2.14 0 [] e_q3(X,X)=btrue. % 1.92/2.14 0 [] e_q4(X,X)=btrue. % 1.92/2.14 0 [] e_q4(sat_synth_nf_w(X),bfalse)!=btrue. % 1.92/2.14 end_of_list. % 1.92/2.14 % 1.92/2.14 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3. % 1.92/2.14 % 1.92/2.14 This is a Horn set with equality. The strategy will be % 1.92/2.14 Knuth-Bendix and hyper_res, with positive clauses in % 1.92/2.14 sos and nonpositive clauses in usable. % 1.92/2.14 % 1.92/2.14 dependent: set(knuth_bendix). % 1.92/2.14 dependent: set(anl_eq). % 1.92/2.14 dependent: set(para_from). % 1.92/2.14 dependent: set(para_into). % 1.92/2.14 dependent: clear(para_from_right). % 1.92/2.14 dependent: clear(para_into_right). % 1.92/2.14 dependent: set(para_from_vars). % 1.92/2.14 dependent: set(eq_units_both_ways). % 1.92/2.14 dependent: set(dynamic_demod_all). % 1.92/2.14 dependent: set(dynamic_demod). % 1.92/2.14 dependent: set(order_eq). % 1.92/2.14 dependent: set(back_demod). % 1.92/2.14 dependent: set(lrpo). % 1.92/2.14 dependent: set(hyper_res). % 1.92/2.14 dependent: clear(order_hyper). % 1.92/2.14 % 1.92/2.14 ------------> process usable: % 1.92/2.14 ** KEPT (pick-wt=14): 1 [] e_q(A,B)!=bfalse|e_q(arr(A,C),arr(B,D))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=16): 2 [] e_q(A,B)!=btrue|e_q(arr(A,C),arr(B,D))=e_q(C,D). % 1.92/2.14 ** KEPT (pick-wt=16): 3 [] e_q3(A,B)!=bfalse|e_q3(app(A,C,D),app(B,E,F))=bfalse. % 1.92/2.14 ** 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. % 1.92/2.14 ** 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). % 1.92/2.14 ** KEPT (pick-wt=6): 6 [] e_q4(sat_synth_nf_w(A),bfalse)!=btrue. % 1.92/2.14 % 1.92/2.14 ------------> process sos: % 1.92/2.14 ** KEPT (pick-wt=3): 7 [] A=A. % 1.92/2.14 ** KEPT (pick-wt=7): 8 [] aux(A,B,C,nothing)=bfalse. % 1.92/2.14 ---> New Demodulator: 9 [new_demod,8] aux(A,B,C,nothing)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=10): 10 [] aux(A,B,C,just(D))=e_q(D,B). % 1.92/2.14 ** KEPT (pick-wt=4): 11 [] notb(btrue)=bfalse. % 1.92/2.14 ---> New Demodulator: 12 [new_demod,11] notb(btrue)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=4): 13 [] notb(bfalse)=btrue. % 1.92/2.14 ---> New Demodulator: 14 [new_demod,13] notb(bfalse)=btrue. % 1.92/2.14 ** KEPT (pick-wt=5): 15 [] index(nil,A)=nothing. % 1.92/2.14 ---> New Demodulator: 16 [new_demod,15] index(nil,A)=nothing. % 1.92/2.14 ** KEPT (pick-wt=8): 17 [] index(cons(A,B),zero)=just(A). % 1.92/2.14 ** KEPT (pick-wt=10): 18 [] index(cons(A,B),suc(C))=index(B,C). % 1.92/2.14 ---> New Demodulator: 19 [new_demod,18] index(cons(A,B),suc(C))=index(B,C). % 1.92/2.14 ** KEPT (pick-wt=5): 20 [] andb(btrue,A)=A. % 1.92/2.14 ---> New Demodulator: 21 [new_demod,20] andb(btrue,A)=A. % 1.92/2.14 ** KEPT (pick-wt=5): 22 [] andb(bfalse,A)=bfalse. % 1.92/2.14 ---> New Demodulator: 23 [new_demod,22] andb(bfalse,A)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=8): 24 [] nf(app(lam(A),B,C))=bfalse. % 1.92/2.14 ---> New Demodulator: 25 [new_demod,24] nf(app(lam(A),B,C))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=17): 26 [] nf(app(app(A,B,C),D,E))=andb(nf(app(A,B,C)),nf(D)). % 1.92/2.14 ---> New Demodulator: 27 [new_demod,26] nf(app(app(A,B,C),D,E))=andb(nf(app(A,B,C)),nf(D)). % 1.92/2.14 ** KEPT (pick-wt=13): 28 [] nf(app(var(A),B,C))=andb(nf(var(A)),nf(B)). % 1.92/2.14 ---> New Demodulator: 29 [new_demod,28] nf(app(var(A),B,C))=andb(nf(var(A)),nf(B)). % 1.92/2.14 ** KEPT (pick-wt=6): 30 [] nf(lam(A))=nf(A). % 1.92/2.14 ---> New Demodulator: 31 [new_demod,30] nf(lam(A))=nf(A). % 1.92/2.14 ** KEPT (pick-wt=5): 32 [] nf(var(A))=btrue. % 1.92/2.14 ---> New Demodulator: 33 [new_demod,32] nf(var(A))=btrue. % 1.92/2.14 ** KEPT (pick-wt=19): 35 [copy,34,flip.1] andb(tc(A,B,arr(C,D)),tc(A,E,C))=tc(A,app(B,E,C),D). % 1.92/2.14 ---> New Demodulator: 36 [new_demod,35] andb(tc(A,B,arr(C,D)),tc(A,E,C))=tc(A,app(B,E,C),D). % 1.92/2.14 ** KEPT (pick-wt=14): 37 [] tc(A,lam(B),arr(C,D))=tc(cons(C,A),B,D). % 1.92/2.14 ** KEPT (pick-wt=7): 38 [] tc(A,lam(B),a)=bfalse. % 1.92/2.14 ---> New Demodulator: 39 [new_demod,38] tc(A,lam(B),a)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 40 [] tc(A,lam(B),b)=bfalse. % 1.92/2.14 ---> New Demodulator: 41 [new_demod,40] tc(A,lam(B),b)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 42 [] tc(A,lam(B),c)=bfalse. % 1.92/2.14 ---> New Demodulator: 43 [new_demod,42] tc(A,lam(B),c)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=13): 44 [] tc(A,var(B),C)=aux(A,C,B,index(A,B)). % 1.92/2.14 ** KEPT (pick-wt=19): 45 [] sat_synth_nf_w(A)=notb(andb(nf(A),tc(nil,A,arr(arr(a,arr(a,b)),arr(a,b))))). % 1.92/2.14 ---> New Demodulator: 46 [new_demod,45] sat_synth_nf_w(A)=notb(andb(nf(A),tc(nil,A,arr(arr(a,arr(a,b)),arr(a,b))))). % 1.92/2.14 ** KEPT (pick-wt=5): 47 [] e_q(a,b)=bfalse. % 1.92/2.14 ---> New Demodulator: 48 [new_demod,47] e_q(a,b)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 49 [] e_q(a,c)=bfalse. % 1.92/2.14 ---> New Demodulator: 50 [new_demod,49] e_q(a,c)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 51 [] e_q(b,a)=bfalse. % 1.92/2.14 ---> New Demodulator: 52 [new_demod,51] e_q(b,a)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 53 [] e_q(b,c)=bfalse. % 1.92/2.14 ---> New Demodulator: 54 [new_demod,53] e_q(b,c)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 55 [] e_q(c,a)=bfalse. % 1.92/2.14 ---> New Demodulator: 56 [new_demod,55] e_q(c,a)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 57 [] e_q(c,b)=bfalse. % 1.92/2.14 ---> New Demodulator: 58 [new_demod,57] e_q(c,b)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 59 [] e_q4(bfalse,btrue)=bfalse. % 1.92/2.14 ---> New Demodulator: 60 [new_demod,59] e_q4(bfalse,btrue)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 61 [] e_q4(btrue,bfalse)=bfalse. % 1.92/2.14 ---> New Demodulator: 62 [new_demod,61] e_q4(btrue,bfalse)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=9): 63 [] e_q2(suc(A),suc(B))=e_q2(A,B). % 1.92/2.14 ---> New Demodulator: 64 [new_demod,63] e_q2(suc(A),suc(B))=e_q2(A,B). % 1.92/2.14 ** KEPT (pick-wt=6): 65 [] e_q2(zero,suc(A))=bfalse. % 1.92/2.14 ---> New Demodulator: 66 [new_demod,65] e_q2(zero,suc(A))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=6): 67 [] e_q2(suc(A),zero)=bfalse. % 1.92/2.14 ---> New Demodulator: 68 [new_demod,67] e_q2(suc(A),zero)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 69 [] e_q(arr(A,B),a)=bfalse. % 1.92/2.14 ---> New Demodulator: 70 [new_demod,69] e_q(arr(A,B),a)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 71 [] e_q(arr(A,B),b)=bfalse. % 1.92/2.14 ---> New Demodulator: 72 [new_demod,71] e_q(arr(A,B),b)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 73 [] e_q(arr(A,B),c)=bfalse. % 1.92/2.14 ---> New Demodulator: 74 [new_demod,73] e_q(arr(A,B),c)=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 75 [] e_q(a,arr(A,B))=bfalse. % 1.92/2.14 ---> New Demodulator: 76 [new_demod,75] e_q(a,arr(A,B))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 77 [] e_q(b,arr(A,B))=bfalse. % 1.92/2.14 ---> New Demodulator: 78 [new_demod,77] e_q(b,arr(A,B))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 79 [] e_q(c,arr(A,B))=bfalse. % 1.92/2.14 ---> New Demodulator: 80 [new_demod,79] e_q(c,arr(A,B))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=9): 81 [] e_q3(lam(A),lam(B))=e_q3(A,B). % 1.92/2.14 ---> New Demodulator: 82 [new_demod,81] e_q3(lam(A),lam(B))=e_q3(A,B). % 1.92/2.14 ** KEPT (pick-wt=9): 83 [] e_q3(var(A),var(B))=e_q2(A,B). % 1.92/2.14 ---> New Demodulator: 84 [new_demod,83] e_q3(var(A),var(B))=e_q2(A,B). % 1.92/2.14 ** KEPT (pick-wt=9): 85 [] e_q3(app(A,B,C),lam(D))=bfalse. % 1.92/2.14 ---> New Demodulator: 86 [new_demod,85] e_q3(app(A,B,C),lam(D))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=9): 87 [] e_q3(app(A,B,C),var(D))=bfalse. % 1.92/2.14 ---> New Demodulator: 88 [new_demod,87] e_q3(app(A,B,C),var(D))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=9): 89 [] e_q3(lam(A),app(B,C,D))=bfalse. % 1.92/2.14 ---> New Demodulator: 90 [new_demod,89] e_q3(lam(A),app(B,C,D))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 91 [] e_q3(lam(A),var(B))=bfalse. % 1.92/2.14 ---> New Demodulator: 92 [new_demod,91] e_q3(lam(A),var(B))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=9): 93 [] e_q3(var(A),app(B,C,D))=bfalse. % 1.92/2.14 ---> New Demodulator: 94 [new_demod,93] e_q3(var(A),app(B,C,D))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=7): 95 [] e_q3(var(A),lam(B))=bfalse. % 1.92/2.14 ---> New Demodulator: 96 [new_demod,95] e_q3(var(A),lam(B))=bfalse. % 1.92/2.14 ** KEPT (pick-wt=5): 97 [] e_q(A,A)=btrue. % 1.92/2.14 ---> New Demodulator: 98 [new_demod,97] e_q(A,A)=btrue. % 1.92/2.14 ** KEPT (pick-wt=5): 99 [] e_q2(A,A)=btrue. % 1.92/2.14 ---> New Demodulator: 100 [new_demod,99] e_q2(A,A)=btrue. % 1.92/2.14 ** KEPT (pick-wt=5): 101 [] e_q3(A,A)=btrue. % 1.92/2.14 ---> New Demodulator: 102 [new_demod,101] e_q3(A,A)=btrue. % 1.92/2.14 ** KEPT (pick-wt=5): 103 [] e_q4(A,A)=btrue. % 1.92/2.14 ---> New Demodulator: 104 [new_demod,103] e_q4(A,A)=btrue. % 1.92/2.14 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A. % 1.92/2.14 >>>> Starting back demodulation with 9. % 1.92/2.14 ** KEPT (pick-wt=10): 105 [copy,10,flip.1] e_q(A,B)=aux(C,B,D,just(A)). % 1.92/2.14 >>>> Starting back demodulation with 12. % 1.92/2.14 >>>> Starting back demodulation with 14. % 1.92/2.14 >>>> Starting back demodulation with 16. % 1.92/2.14 ** KEPT (pick-wt=8): 106 [copy,17,flip.1] just(A)=index(cons(A,B),zero). % 1.92/2.14 >>>> Starting back demodulation with 19. % 1.92/2.14 >>>> Starting back demodulation with 21. % 1.92/2.14 >>>> Starting back demodulation with 23. % 1.92/2.14 >>>> Starting back demodulation with 25. % 1.92/2.14 >>>> Starting back demodulation with 27. % 1.92/2.14 >>>> Starting back demodulation with 29. % 1.92/2.14 >>>> Starting back demodulation with 31. % 1.92/2.14 >>>> Starting back demodulation with 33. % 1.92/2.14 >> back demodulating 28 with 33. % 1.92/2.14 >>>> Starting back demodulation with 36. % 1.92/2.14 ** KEPT (pick-wt=14): 109 [copy,37,flip.1] tc(cons(A,B),C,D)=tc(B,lam(C),arr(A,D)). % 1.92/2.14 >>>> Starting back demodulation with 39. % 1.92/2.14 >>>> Starting back demodulation with 41. % 1.92/2.14 >>>> Starting back demodulation with 43. % 1.92/2.14 ** KEPT (pick-wt=13): 110 [copy,44,flip.1] aux(A,B,C,index(A,C))=tc(A,var(C),B). % 1.92/2.14 >>>> Starting back demodulation with 46. % 1.92/2.14 >> back demodulating 6 with 46. % 1.92/2.14 >>>> Starting back demodulation with 48. % 1.92/2.14 >>>> Starting back demodulation with 50. % 1.92/2.14 >>>> Starting back demodulation with 52. % 1.92/2.14 >>>> Starting back demodulation with 54. % 1.92/2.14 >>>> Starting back demodulation with 56. % 1.92/2.14 >>>> Starting back demodulation with 58. % 1.92/2.14 >>>> Starting back demodulation with 60. % 1.92/2.14 >>>> Starting back demodulation with 62. % 1.92/2.14 >>>> Starting back demodulation with 64. % 1.92/2.14 >>>> Starting back demodulation with 66. % 1.92/2.14 >>>> Starting back demodulation with 68. % 1.92/2.14 >>>> Starting back demodulation with 70. % 1.92/2.14 >>>> Starting back demodulation with 72. % 1.92/2.14 >>>> Starting back demodulation with 74. % 1.92/2.14 >>>> Starting back demodulation with 76. % 1.92/2.14 >>>> Starting back demodulation with 78. % 1.92/2.14 >>>> Starting back demodulation with 80. % 1.92/2.14 >>>> Starting back demodulation with 82. % 1.92/2.14 >>>> Starting back demodulation with 84. % 1.92/2.14 >>>> Starting back demodulation with 86. % 1.92/2.14 >>>> Starting back demodulation with 88. % 1.92/2.14 >>>> Starting back demodulation with 90. % 1.92/2.14 >>>> Starting back demodulation with 92. % 1.92/2.14 >>>> Starting back demodulation with 94. % 1.92/2.14 >>>> Starting back demodulation with 96. % 1.92/2.14 >>>> Starting back demodulation with 98. % 1.92/2.14 >>>> Starting back demodulation with 100. % 1.92/2.14 >>>> Starting back demodulation with 102. % 1.92/2.14 >>>> Starting back demodulation with 104. % 1.92/2.14 Following clause subsumed by 10 during input processing: 0 [copy,105,flip.1] aux(A,B,C,just(D))=e_q(D,B). % 1.92/2.14 Following clause subsumed by 17 during input processing: 0 [copy,106,flip.1] index(cons(A,B),zero)=just(A). % 2.11/2.32 >>>> Starting back demodulation with 108. % 2.11/2.32 Following clause subsumed by 37 during input processing: 0 [copy,109,flip.1] tc(A,lam(B),arr(C,D))=tc(cons(C,A),B,D). % 2.11/2.32 Following clause subsumed by 44 during input processing: 0 [copy,110,flip.1] tc(A,var(B),C)=aux(A,C,B,index(A,B)). % 2.11/2.32 % 2.11/2.32 ======= end of input processing ======= % 2.11/2.32 % 2.11/2.32 =========== start of search =========== % 2.11/2.32 % 2.11/2.32 % 2.11/2.32 Resetting weight limit to 12. % 2.11/2.32 % 2.11/2.32 % 2.11/2.32 Resetting weight limit to 12. % 2.11/2.32 % 2.11/2.32 sos_size=220 % 2.11/2.32 % 2.11/2.32 Search stopped because sos empty. % 2.11/2.32 % 2.11/2.32 % 2.11/2.32 Search stopped because sos empty. % 2.11/2.32 % 2.11/2.32 ============ end of search ============ % 2.11/2.32 % 2.11/2.32 -------------- statistics ------------- % 2.11/2.32 clauses given 378 % 2.11/2.32 clauses generated 20134 % 2.11/2.32 clauses kept 402 % 2.11/2.32 clauses forward subsumed 3480 % 2.11/2.32 clauses back subsumed 12 % 2.11/2.32 Kbytes malloced 6835 % 2.11/2.32 % 2.11/2.32 ----------- times (seconds) ----------- % 2.11/2.32 user CPU time 0.18 (0 hr, 0 min, 0 sec) % 2.11/2.32 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 2.11/2.32 wall-clock time 2 (0 hr, 0 min, 2 sec) % 2.11/2.32 % 2.11/2.32 Process 10884 finished Tue May 5 12:38:10 2026 % 2.11/2.32 Otter interrupted % 2.11/2.32 PROOF NOT FOUND %------------------------------------------------------------------------------