%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX225-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n024.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 1.28s 1.70s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX225-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.07 % Command : otter-tptp-script %s % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue May 5 07:45:56 EDT 2026 % 0.06/0.25 % CPUTime : % 0.97/1.60 ----- Otter 3.3f, August 2004 ----- % 0.97/1.60 The process was started by sandbox2 on n024.cluster.edu, % 0.97/1.60 Tue May 5 07:45:56 2026 % 0.97/1.60 The command was "./otter". The process ID is 28189. % 0.97/1.60 % 0.97/1.60 set(prolog_style_variables). % 0.97/1.60 set(auto). % 0.97/1.60 dependent: set(auto1). % 0.97/1.60 dependent: set(process_input). % 0.97/1.60 dependent: clear(print_kept). % 0.97/1.60 dependent: clear(print_new_demod). % 0.97/1.60 dependent: clear(print_back_demod). % 0.97/1.60 dependent: clear(print_back_sub). % 0.97/1.60 dependent: set(control_memory). % 0.97/1.60 dependent: assign(max_mem, 12000). % 0.97/1.60 dependent: assign(pick_given_ratio, 4). % 0.97/1.60 dependent: assign(stats_level, 1). % 0.97/1.60 dependent: assign(max_seconds, 10800). % 0.97/1.60 clear(print_given). % 0.97/1.60 % 0.97/1.60 list(usable). % 0.97/1.60 0 [] A=A. % 0.97/1.60 0 [] fail(Y,Z)=par(Y,Z,step(Y),step(Z)). % 0.97/1.60 0 [] par(X,Y,nothing,nothing)=nothing. % 0.97/1.60 0 [] par(X,Y,nothing,just(U_red))=just(x(X,U_red)). % 0.97/1.60 0 [] par(X,Y,just(T_red),nothing)=just(x(T_red,Y)). % 0.97/1.60 0 [] par(X,Y,just(T_red),just(U_red2))=just(x(T_red,U_red2)). % 0.97/1.60 0 [] step(x(x(x(s,F),G),Z))=just(x(x(F,Z),x(G,Z))). % 0.97/1.60 0 [] step(x(x(x(b,F),G),Z))=just(x(F,x(G,Z))). % 0.97/1.60 0 [] step(x(x(x(c,F),G),Z))=just(x(x(F,Z),G)). % 0.97/1.60 0 [] step(x(x(x(x(X,X2),F),G),Z))=fail(x(x(x(X,X2),F),G),Z). % 0.97/1.60 0 [] step(x(x(x(theVar,F),G),Z))=fail(x(x(theVar,F),G),Z). % 0.97/1.60 0 [] step(x(x(x(k,F),G),Z))=fail(x(x(k,F),G),Z). % 0.97/1.60 0 [] step(x(x(x(i,F),G),Z))=fail(x(x(i,F),G),Z). % 0.97/1.60 0 [] step(x(x(k,G),Z))=just(G). % 0.97/1.60 0 [] step(x(x(theVar,G),Z))=fail(x(theVar,G),Z). % 0.97/1.60 0 [] step(x(x(i,G),Z))=fail(x(i,G),Z). % 0.97/1.60 0 [] step(x(x(s,G),Z))=fail(x(s,G),Z). % 0.97/1.60 0 [] step(x(x(b,G),Z))=fail(x(b,G),Z). % 0.97/1.60 0 [] step(x(x(c,G),Z))=fail(x(c,G),Z). % 0.97/1.60 0 [] step(x(i,Z))=just(Z). % 0.97/1.60 0 [] step(x(theVar,Z))=fail(theVar,Z). % 0.97/1.60 0 [] step(x(k,Z))=fail(k,Z). % 0.97/1.60 0 [] step(x(s,Z))=fail(s,Z). % 0.97/1.60 0 [] step(x(b,Z))=fail(b,Z). % 0.97/1.60 0 [] step(x(c,Z))=fail(c,Z). % 0.97/1.60 0 [] step(theVar)=nothing. % 0.97/1.60 0 [] step(k)=nothing. % 0.97/1.60 0 [] step(i)=nothing. % 0.97/1.60 0 [] step(s)=nothing. % 0.97/1.60 0 [] step(b)=nothing. % 0.97/1.60 0 [] step(c)=nothing. % 0.97/1.60 0 [] impl(btrue,Q)=Q. % 0.97/1.60 0 [] impl(bfalse,Q)=btrue. % 0.97/1.60 0 [] thm1(X)=impl(e_q3(step(X),just(X)),e_q4(btrue,bfalse)). % 0.97/1.60 0 [] e_q(theVar,k)=bfalse. % 0.97/1.60 0 [] e_q(theVar,i)=bfalse. % 0.97/1.60 0 [] e_q(theVar,s)=bfalse. % 0.97/1.60 0 [] e_q(theVar,b)=bfalse. % 0.97/1.60 0 [] e_q(theVar,c)=bfalse. % 0.97/1.60 0 [] e_q(k,theVar)=bfalse. % 0.97/1.60 0 [] e_q(k,i)=bfalse. % 0.97/1.60 0 [] e_q(k,s)=bfalse. % 0.97/1.60 0 [] e_q(k,b)=bfalse. % 0.97/1.60 0 [] e_q(k,c)=bfalse. % 0.97/1.60 0 [] e_q(i,theVar)=bfalse. % 0.97/1.60 0 [] e_q(i,k)=bfalse. % 0.97/1.60 0 [] e_q(i,s)=bfalse. % 0.97/1.60 0 [] e_q(i,b)=bfalse. % 0.97/1.60 0 [] e_q(i,c)=bfalse. % 0.97/1.60 0 [] e_q(s,theVar)=bfalse. % 0.97/1.60 0 [] e_q(s,k)=bfalse. % 0.97/1.60 0 [] e_q(s,i)=bfalse. % 0.97/1.60 0 [] e_q(s,b)=bfalse. % 0.97/1.60 0 [] e_q(s,c)=bfalse. % 0.97/1.60 0 [] e_q(b,theVar)=bfalse. % 0.97/1.60 0 [] e_q(b,k)=bfalse. % 0.97/1.60 0 [] e_q(b,i)=bfalse. % 0.97/1.60 0 [] e_q(b,s)=bfalse. % 0.97/1.60 0 [] e_q(b,c)=bfalse. % 0.97/1.60 0 [] e_q(c,theVar)=bfalse. % 0.97/1.60 0 [] e_q(c,k)=bfalse. % 0.97/1.60 0 [] e_q(c,i)=bfalse. % 0.97/1.60 0 [] e_q(c,s)=bfalse. % 0.97/1.60 0 [] e_q(c,b)=bfalse. % 0.97/1.60 0 [] e_q4(bfalse,btrue)=bfalse. % 0.97/1.60 0 [] e_q4(btrue,bfalse)=bfalse. % 0.97/1.60 0 [] e_q(X,Z)!=bfalse|e_q(x(X,Y),x(Z,X2))=bfalse. % 0.97/1.60 0 [] e_q(X,Z)!=btrue|e_q(x(X,Y),x(Z,X2))=e_q(Y,X2). % 0.97/1.60 0 [] e_q(x(X,Y),theVar)=bfalse. % 0.97/1.60 0 [] e_q(x(X,Y),k)=bfalse. % 0.97/1.60 0 [] e_q(x(X,Y),i)=bfalse. % 0.97/1.60 0 [] e_q(x(X,Y),s)=bfalse. % 0.97/1.60 0 [] e_q(x(X,Y),b)=bfalse. % 0.97/1.60 0 [] e_q(x(X,Y),c)=bfalse. % 0.97/1.60 0 [] e_q(theVar,x(X,Y))=bfalse. % 0.97/1.60 0 [] e_q(k,x(X,Y))=bfalse. % 0.97/1.60 0 [] e_q(i,x(X,Y))=bfalse. % 0.97/1.60 0 [] e_q(s,x(X,Y))=bfalse. % 0.97/1.60 0 [] e_q(b,x(X,Y))=bfalse. % 0.97/1.60 0 [] e_q(c,x(X,Y))=bfalse. % 0.97/1.60 0 [] e_q2(suc(X),suc(Y))=e_q2(X,Y). % 0.97/1.60 0 [] e_q2(suc(X),z)=bfalse. % 0.97/1.60 0 [] e_q2(z,suc(X))=bfalse. % 0.97/1.60 0 [] e_q(X,X)=btrue. % 0.97/1.60 0 [] e_q2(X,X)=btrue. % 0.97/1.60 0 [] e_q3(X,X)=btrue. % 0.97/1.60 0 [] e_q4(X,X)=btrue. % 0.97/1.60 0 [] e_q3(just(X),just(Y))=e_q(X,Y). % 0.97/1.60 0 [] e_q3(nothing,just(X))=bfalse. % 0.97/1.60 0 [] e_q3(just(X),nothing)=bfalse. % 0.97/1.60 0 [] e_q4(thm1(X),bfalse)!=btrue. % 0.97/1.60 end_of_list. % 0.97/1.60 % 0.97/1.60 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2. % 0.97/1.60 % 0.97/1.60 This is a Horn set with equality. The strategy will be % 0.97/1.60 Knuth-Bendix and hyper_res, with positive clauses in % 0.97/1.60 sos and nonpositive clauses in usable. % 0.97/1.60 % 0.97/1.60 dependent: set(knuth_bendix). % 0.97/1.60 dependent: set(anl_eq). % 0.97/1.60 dependent: set(para_from). % 0.97/1.60 dependent: set(para_into). % 0.97/1.60 dependent: clear(para_from_right). % 0.97/1.60 dependent: clear(para_into_right). % 0.97/1.60 dependent: set(para_from_vars). % 0.97/1.60 dependent: set(eq_units_both_ways). % 0.97/1.60 dependent: set(dynamic_demod_all). % 0.97/1.60 dependent: set(dynamic_demod). % 0.97/1.60 dependent: set(order_eq). % 0.97/1.60 dependent: set(back_demod). % 0.97/1.60 dependent: set(lrpo). % 0.97/1.60 dependent: set(hyper_res). % 0.97/1.60 dependent: clear(order_hyper). % 0.97/1.60 % 0.97/1.60 ------------> process usable: % 0.97/1.60 ** KEPT (pick-wt=14): 1 [] e_q(A,B)!=bfalse|e_q(x(A,C),x(B,D))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=16): 2 [] e_q(A,B)!=btrue|e_q(x(A,C),x(B,D))=e_q(C,D). % 0.97/1.60 ** KEPT (pick-wt=6): 3 [] e_q4(thm1(A),bfalse)!=btrue. % 0.97/1.60 % 0.97/1.60 ------------> process sos: % 0.97/1.60 ** KEPT (pick-wt=3): 4 [] A=A. % 0.97/1.60 ** KEPT (pick-wt=11): 5 [] fail(A,B)=par(A,B,step(A),step(B)). % 0.97/1.60 ** KEPT (pick-wt=7): 6 [] par(A,B,nothing,nothing)=nothing. % 0.97/1.60 ---> New Demodulator: 7 [new_demod,6] par(A,B,nothing,nothing)=nothing. % 0.97/1.60 ** KEPT (pick-wt=11): 8 [] par(A,B,nothing,just(C))=just(x(A,C)). % 0.97/1.60 ** KEPT (pick-wt=11): 9 [] par(A,B,just(C),nothing)=just(x(C,B)). % 0.97/1.60 ** KEPT (pick-wt=12): 10 [] par(A,B,just(C),just(D))=just(x(C,D)). % 0.97/1.60 ** KEPT (pick-wt=17): 11 [] step(x(x(x(s,A),B),C))=just(x(x(A,C),x(B,C))). % 0.97/1.60 ---> New Demodulator: 12 [new_demod,11] step(x(x(x(s,A),B),C))=just(x(x(A,C),x(B,C))). % 0.97/1.60 ** KEPT (pick-wt=15): 13 [] step(x(x(x(b,A),B),C))=just(x(A,x(B,C))). % 0.97/1.60 ---> New Demodulator: 14 [new_demod,13] step(x(x(x(b,A),B),C))=just(x(A,x(B,C))). % 0.97/1.60 ** KEPT (pick-wt=15): 15 [] step(x(x(x(c,A),B),C))=just(x(x(A,C),B)). % 0.97/1.60 ---> New Demodulator: 16 [new_demod,15] step(x(x(x(c,A),B),C))=just(x(x(A,C),B)). % 0.97/1.60 ** KEPT (pick-wt=20): 17 [] step(x(x(x(x(A,B),C),D),E))=fail(x(x(x(A,B),C),D),E). % 0.97/1.60 ---> New Demodulator: 18 [new_demod,17] step(x(x(x(x(A,B),C),D),E))=fail(x(x(x(A,B),C),D),E). % 0.97/1.60 ** KEPT (pick-wt=16): 19 [] step(x(x(x(theVar,A),B),C))=fail(x(x(theVar,A),B),C). % 0.97/1.60 ---> New Demodulator: 20 [new_demod,19] step(x(x(x(theVar,A),B),C))=fail(x(x(theVar,A),B),C). % 0.97/1.60 ** KEPT (pick-wt=16): 21 [] step(x(x(x(k,A),B),C))=fail(x(x(k,A),B),C). % 0.97/1.60 ---> New Demodulator: 22 [new_demod,21] step(x(x(x(k,A),B),C))=fail(x(x(k,A),B),C). % 0.97/1.60 ** KEPT (pick-wt=16): 23 [] step(x(x(x(i,A),B),C))=fail(x(x(i,A),B),C). % 0.97/1.60 ---> New Demodulator: 24 [new_demod,23] step(x(x(x(i,A),B),C))=fail(x(x(i,A),B),C). % 0.97/1.60 ** KEPT (pick-wt=9): 25 [] step(x(x(k,A),B))=just(A). % 0.97/1.60 ---> New Demodulator: 26 [new_demod,25] step(x(x(k,A),B))=just(A). % 0.97/1.60 ** KEPT (pick-wt=12): 27 [] step(x(x(theVar,A),B))=fail(x(theVar,A),B). % 0.97/1.60 ---> New Demodulator: 28 [new_demod,27] step(x(x(theVar,A),B))=fail(x(theVar,A),B). % 0.97/1.60 ** KEPT (pick-wt=12): 29 [] step(x(x(i,A),B))=fail(x(i,A),B). % 0.97/1.60 ---> New Demodulator: 30 [new_demod,29] step(x(x(i,A),B))=fail(x(i,A),B). % 0.97/1.60 ** KEPT (pick-wt=12): 31 [] step(x(x(s,A),B))=fail(x(s,A),B). % 0.97/1.60 ---> New Demodulator: 32 [new_demod,31] step(x(x(s,A),B))=fail(x(s,A),B). % 0.97/1.60 ** KEPT (pick-wt=12): 33 [] step(x(x(b,A),B))=fail(x(b,A),B). % 0.97/1.60 ---> New Demodulator: 34 [new_demod,33] step(x(x(b,A),B))=fail(x(b,A),B). % 0.97/1.60 ** KEPT (pick-wt=12): 35 [] step(x(x(c,A),B))=fail(x(c,A),B). % 0.97/1.60 ---> New Demodulator: 36 [new_demod,35] step(x(x(c,A),B))=fail(x(c,A),B). % 0.97/1.60 ** KEPT (pick-wt=7): 37 [] step(x(i,A))=just(A). % 0.97/1.60 ---> New Demodulator: 38 [new_demod,37] step(x(i,A))=just(A). % 0.97/1.60 ** KEPT (pick-wt=8): 39 [] step(x(theVar,A))=fail(theVar,A). % 0.97/1.60 ---> New Demodulator: 40 [new_demod,39] step(x(theVar,A))=fail(theVar,A). % 0.97/1.60 ** KEPT (pick-wt=8): 41 [] step(x(k,A))=fail(k,A). % 0.97/1.60 ---> New Demodulator: 42 [new_demod,41] step(x(k,A))=fail(k,A). % 0.97/1.60 ** KEPT (pick-wt=8): 43 [] step(x(s,A))=fail(s,A). % 0.97/1.60 ---> New Demodulator: 44 [new_demod,43] step(x(s,A))=fail(s,A). % 0.97/1.60 ** KEPT (pick-wt=8): 45 [] step(x(b,A))=fail(b,A). % 0.97/1.60 ---> New Demodulator: 46 [new_demod,45] step(x(b,A))=fail(b,A). % 0.97/1.60 ** KEPT (pick-wt=8): 47 [] step(x(c,A))=fail(c,A). % 0.97/1.60 ---> New Demodulator: 48 [new_demod,47] step(x(c,A))=fail(c,A). % 0.97/1.60 ** KEPT (pick-wt=4): 49 [] step(theVar)=nothing. % 0.97/1.60 ---> New Demodulator: 50 [new_demod,49] step(theVar)=nothing. % 0.97/1.60 ** KEPT (pick-wt=4): 51 [] step(k)=nothing. % 0.97/1.60 ---> New Demodulator: 52 [new_demod,51] step(k)=nothing. % 0.97/1.60 ** KEPT (pick-wt=4): 53 [] step(i)=nothing. % 0.97/1.60 ---> New Demodulator: 54 [new_demod,53] step(i)=nothing. % 0.97/1.60 ** KEPT (pick-wt=4): 55 [] step(s)=nothing. % 0.97/1.60 ---> New Demodulator: 56 [new_demod,55] step(s)=nothing. % 0.97/1.60 ** KEPT (pick-wt=4): 57 [] step(b)=nothing. % 0.97/1.60 ---> New Demodulator: 58 [new_demod,57] step(b)=nothing. % 0.97/1.60 ** KEPT (pick-wt=4): 59 [] step(c)=nothing. % 0.97/1.60 ---> New Demodulator: 60 [new_demod,59] step(c)=nothing. % 0.97/1.60 ** KEPT (pick-wt=5): 61 [] impl(btrue,A)=A. % 0.97/1.60 ---> New Demodulator: 62 [new_demod,61] impl(btrue,A)=A. % 0.97/1.60 ** KEPT (pick-wt=5): 63 [] impl(bfalse,A)=btrue. % 0.97/1.60 ---> New Demodulator: 64 [new_demod,63] impl(bfalse,A)=btrue. % 0.97/1.60 ** KEPT (pick-wt=12): 65 [] thm1(A)=impl(e_q3(step(A),just(A)),e_q4(btrue,bfalse)). % 0.97/1.60 ---> New Demodulator: 66 [new_demod,65] thm1(A)=impl(e_q3(step(A),just(A)),e_q4(btrue,bfalse)). % 0.97/1.60 ** KEPT (pick-wt=5): 67 [] e_q(theVar,k)=bfalse. % 0.97/1.60 ---> New Demodulator: 68 [new_demod,67] e_q(theVar,k)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 69 [] e_q(theVar,i)=bfalse. % 0.97/1.60 ---> New Demodulator: 70 [new_demod,69] e_q(theVar,i)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 71 [] e_q(theVar,s)=bfalse. % 0.97/1.60 ---> New Demodulator: 72 [new_demod,71] e_q(theVar,s)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 73 [] e_q(theVar,b)=bfalse. % 0.97/1.60 ---> New Demodulator: 74 [new_demod,73] e_q(theVar,b)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 75 [] e_q(theVar,c)=bfalse. % 0.97/1.60 ---> New Demodulator: 76 [new_demod,75] e_q(theVar,c)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 77 [] e_q(k,theVar)=bfalse. % 0.97/1.60 ---> New Demodulator: 78 [new_demod,77] e_q(k,theVar)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 79 [] e_q(k,i)=bfalse. % 0.97/1.60 ---> New Demodulator: 80 [new_demod,79] e_q(k,i)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 81 [] e_q(k,s)=bfalse. % 0.97/1.60 ---> New Demodulator: 82 [new_demod,81] e_q(k,s)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 83 [] e_q(k,b)=bfalse. % 0.97/1.60 ---> New Demodulator: 84 [new_demod,83] e_q(k,b)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 85 [] e_q(k,c)=bfalse. % 0.97/1.60 ---> New Demodulator: 86 [new_demod,85] e_q(k,c)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 87 [] e_q(i,theVar)=bfalse. % 0.97/1.60 ---> New Demodulator: 88 [new_demod,87] e_q(i,theVar)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 89 [] e_q(i,k)=bfalse. % 0.97/1.60 ---> New Demodulator: 90 [new_demod,89] e_q(i,k)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 91 [] e_q(i,s)=bfalse. % 0.97/1.60 ---> New Demodulator: 92 [new_demod,91] e_q(i,s)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 93 [] e_q(i,b)=bfalse. % 0.97/1.60 ---> New Demodulator: 94 [new_demod,93] e_q(i,b)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 95 [] e_q(i,c)=bfalse. % 0.97/1.60 ---> New Demodulator: 96 [new_demod,95] e_q(i,c)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 97 [] e_q(s,theVar)=bfalse. % 0.97/1.60 ---> New Demodulator: 98 [new_demod,97] e_q(s,theVar)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 99 [] e_q(s,k)=bfalse. % 0.97/1.60 ---> New Demodulator: 100 [new_demod,99] e_q(s,k)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 101 [] e_q(s,i)=bfalse. % 0.97/1.60 ---> New Demodulator: 102 [new_demod,101] e_q(s,i)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 103 [] e_q(s,b)=bfalse. % 0.97/1.60 ---> New Demodulator: 104 [new_demod,103] e_q(s,b)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 105 [] e_q(s,c)=bfalse. % 0.97/1.60 ---> New Demodulator: 106 [new_demod,105] e_q(s,c)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 107 [] e_q(b,theVar)=bfalse. % 0.97/1.60 ---> New Demodulator: 108 [new_demod,107] e_q(b,theVar)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 109 [] e_q(b,k)=bfalse. % 0.97/1.60 ---> New Demodulator: 110 [new_demod,109] e_q(b,k)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 111 [] e_q(b,i)=bfalse. % 0.97/1.60 ---> New Demodulator: 112 [new_demod,111] e_q(b,i)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 113 [] e_q(b,s)=bfalse. % 0.97/1.60 ---> New Demodulator: 114 [new_demod,113] e_q(b,s)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 115 [] e_q(b,c)=bfalse. % 0.97/1.60 ---> New Demodulator: 116 [new_demod,115] e_q(b,c)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 117 [] e_q(c,theVar)=bfalse. % 0.97/1.60 ---> New Demodulator: 118 [new_demod,117] e_q(c,theVar)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 119 [] e_q(c,k)=bfalse. % 0.97/1.60 ---> New Demodulator: 120 [new_demod,119] e_q(c,k)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 121 [] e_q(c,i)=bfalse. % 0.97/1.60 ---> New Demodulator: 122 [new_demod,121] e_q(c,i)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 123 [] e_q(c,s)=bfalse. % 0.97/1.60 ---> New Demodulator: 124 [new_demod,123] e_q(c,s)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 125 [] e_q(c,b)=bfalse. % 0.97/1.60 ---> New Demodulator: 126 [new_demod,125] e_q(c,b)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 127 [] e_q4(bfalse,btrue)=bfalse. % 0.97/1.60 ---> New Demodulator: 128 [new_demod,127] e_q4(bfalse,btrue)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 129 [] e_q4(btrue,bfalse)=bfalse. % 0.97/1.60 ---> New Demodulator: 130 [new_demod,129] e_q4(btrue,bfalse)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 131 [] e_q(x(A,B),theVar)=bfalse. % 0.97/1.60 ---> New Demodulator: 132 [new_demod,131] e_q(x(A,B),theVar)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 133 [] e_q(x(A,B),k)=bfalse. % 0.97/1.60 ---> New Demodulator: 134 [new_demod,133] e_q(x(A,B),k)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 135 [] e_q(x(A,B),i)=bfalse. % 0.97/1.60 ---> New Demodulator: 136 [new_demod,135] e_q(x(A,B),i)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 137 [] e_q(x(A,B),s)=bfalse. % 0.97/1.60 ---> New Demodulator: 138 [new_demod,137] e_q(x(A,B),s)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 139 [] e_q(x(A,B),b)=bfalse. % 0.97/1.60 ---> New Demodulator: 140 [new_demod,139] e_q(x(A,B),b)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 141 [] e_q(x(A,B),c)=bfalse. % 0.97/1.60 ---> New Demodulator: 142 [new_demod,141] e_q(x(A,B),c)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 143 [] e_q(theVar,x(A,B))=bfalse. % 0.97/1.60 ---> New Demodulator: 144 [new_demod,143] e_q(theVar,x(A,B))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 145 [] e_q(k,x(A,B))=bfalse. % 0.97/1.60 ---> New Demodulator: 146 [new_demod,145] e_q(k,x(A,B))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 147 [] e_q(i,x(A,B))=bfalse. % 0.97/1.60 ---> New Demodulator: 148 [new_demod,147] e_q(i,x(A,B))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 149 [] e_q(s,x(A,B))=bfalse. % 0.97/1.60 ---> New Demodulator: 150 [new_demod,149] e_q(s,x(A,B))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 151 [] e_q(b,x(A,B))=bfalse. % 0.97/1.60 ---> New Demodulator: 152 [new_demod,151] e_q(b,x(A,B))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=7): 153 [] e_q(c,x(A,B))=bfalse. % 0.97/1.60 ---> New Demodulator: 154 [new_demod,153] e_q(c,x(A,B))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=9): 155 [] e_q2(suc(A),suc(B))=e_q2(A,B). % 0.97/1.60 ---> New Demodulator: 156 [new_demod,155] e_q2(suc(A),suc(B))=e_q2(A,B). % 0.97/1.60 ** KEPT (pick-wt=6): 157 [] e_q2(suc(A),z)=bfalse. % 0.97/1.60 ---> New Demodulator: 158 [new_demod,157] e_q2(suc(A),z)=bfalse. % 0.97/1.60 ** KEPT (pick-wt=6): 159 [] e_q2(z,suc(A))=bfalse. % 0.97/1.60 ---> New Demodulator: 160 [new_demod,159] e_q2(z,suc(A))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=5): 161 [] e_q(A,A)=btrue. % 0.97/1.60 ---> New Demodulator: 162 [new_demod,161] e_q(A,A)=btrue. % 0.97/1.60 ** KEPT (pick-wt=5): 163 [] e_q2(A,A)=btrue. % 0.97/1.60 ---> New Demodulator: 164 [new_demod,163] e_q2(A,A)=btrue. % 0.97/1.60 ** KEPT (pick-wt=5): 165 [] e_q3(A,A)=btrue. % 0.97/1.60 ---> New Demodulator: 166 [new_demod,165] e_q3(A,A)=btrue. % 0.97/1.60 ** KEPT (pick-wt=5): 167 [] e_q4(A,A)=btrue. % 0.97/1.60 ---> New Demodulator: 168 [new_demod,167] e_q4(A,A)=btrue. % 0.97/1.60 ** KEPT (pick-wt=9): 169 [] e_q3(just(A),just(B))=e_q(A,B). % 0.97/1.60 ---> New Demodulator: 170 [new_demod,169] e_q3(just(A),just(B))=e_q(A,B). % 0.97/1.60 ** KEPT (pick-wt=6): 171 [] e_q3(nothing,just(A))=bfalse. % 0.97/1.60 ---> New Demodulator: 172 [new_demod,171] e_q3(nothing,just(A))=bfalse. % 0.97/1.60 ** KEPT (pick-wt=6): 173 [] e_q3(just(A),nothing)=bfalse. % 0.97/1.60 ---> New Demodulator: 174 [new_demod,173] e_q3(just(A),nothing)=bfalse. % 0.97/1.60 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A. % 0.97/1.60 ** KEPT (pick-wt=11): 175 [copy,5,flip.1] par(A,B,step(A),step(B))=fail(A,B). % 0.97/1.60 >>>> Starting back demodulation with 7. % 0.97/1.60 ** KEPT (pick-wt=11): 176 [copy,8,flip.1] just(x(A,B))=par(A,C,nothing,just(B)). % 0.97/1.60 ** KEPT (pick-wt=11): 177 [copy,9,flip.1] just(x(A,B))=par(C,B,just(A),nothing). % 0.97/1.60 ** KEPT (pick-wt=12): 178 [copy,10,flip.1] just(x(A,B))=par(C,D,just(A),just(B)). % 0.97/1.60 >>>> Starting back demodulation with 12. % 0.97/1.60 >>>> Starting back demodulation with 14. % 0.97/1.60 >>>> Starting back demodulation with 16. % 0.97/1.60 >>>> Starting back demodulation with 18. % 0.97/1.60 >>>> Starting back demodulation with 20. % 0.97/1.60 >>>> Starting back demodulation with 22. % 0.97/1.60 >>>> Starting back demodulation with 24. % 0.97/1.60 >>>> Starting back demodulation with 26. % 0.97/1.60 >>>> Starting back demodulation with 28. % 0.97/1.60 >>>> Starting back demodulation with 30. % 0.97/1.60 >>>> Starting back demodulation with 32. % 0.97/1.60 >>>> Starting back demodulation with 34. % 0.97/1.60 >>>> Starting back demodulation with 36. % 0.97/1.60 >>>> Starting back demodulation with 38. % 0.97/1.60 >>>> Starting back demodulation with 40. % 0.97/1.60 >>>> Starting back demodulation with 42. % 0.97/1.60 >>>> Starting back demodulation with 44. % 0.97/1.60 >>>> Starting back demodulation with 46. % 0.97/1.60 >>>> Starting back demodulation with 48. % 0.97/1.60 >>>> Starting back demodulation with 50. % 0.97/1.60 >>>> Starting back demodulation with 52. % 0.97/1.60 >>>> Starting back demodulation with 54. % 0.97/1.60 >>>> Starting back demodulation with 56. % 0.97/1.60 >>>> Starting back demodulation with 58. % 0.97/1.60 >>>> Starting back demodulation with 60. % 0.97/1.60 >>>> Starting back demodulation with 62. % 0.97/1.60 >>>> Starting back demodulation with 64. % 0.97/1.60 >>>> Starting back demodulation with 66. % 0.97/1.60 >> back demodulating 3 with 66. % 0.97/1.60 >>>> Starting back demodulation with 68. % 0.97/1.60 >>>> Starting back demodulation with 70. % 0.97/1.60 >>>> Starting back demodulation with 72. % 0.97/1.60 >>>> Starting back demodulation with 74. % 0.97/1.60 >>>> Starting back demodulation with 76. % 0.97/1.60 >>>> Starting back demodulation with 78. % 0.97/1.60 >>>> Starting back demodulation with 80. % 1.28/1.70 >>>> Starting back demodulation with 82. % 1.28/1.70 >>>> Starting back demodulation with 84. % 1.28/1.70 >>>> Starting back demodulation with 86. % 1.28/1.70 >>>> Starting back demodulation with 88. % 1.28/1.70 >>>> Starting back demodulation with 90. % 1.28/1.70 >>>> Starting back demodulation with 92. % 1.28/1.70 >>>> Starting back demodulation with 94. % 1.28/1.70 >>>> Starting back demodulation with 96. % 1.28/1.70 >>>> Starting back demodulation with 98. % 1.28/1.70 >>>> Starting back demodulation with 100. % 1.28/1.70 >>>> Starting back demodulation with 102. % 1.28/1.70 >>>> Starting back demodulation with 104. % 1.28/1.70 >>>> Starting back demodulation with 106. % 1.28/1.70 >>>> Starting back demodulation with 108. % 1.28/1.70 >>>> Starting back demodulation with 110. % 1.28/1.70 >>>> Starting back demodulation with 112. % 1.28/1.70 >>>> Starting back demodulation with 114. % 1.28/1.70 >>>> Starting back demodulation with 116. % 1.28/1.70 >>>> Starting back demodulation with 118. % 1.28/1.70 >>>> Starting back demodulation with 120. % 1.28/1.70 >>>> Starting back demodulation with 122. % 1.28/1.70 >>>> Starting back demodulation with 124. % 1.28/1.70 >>>> Starting back demodulation with 126. % 1.28/1.70 >>>> Starting back demodulation with 128. % 1.28/1.70 >>>> Starting back demodulation with 130. % 1.28/1.70 >> back demodulating 65 with 130. % 1.28/1.70 >>>> Starting back demodulation with 132. % 1.28/1.70 >>>> Starting back demodulation with 134. % 1.28/1.70 >>>> Starting back demodulation with 136. % 1.28/1.70 >>>> Starting back demodulation with 138. % 1.28/1.70 >>>> Starting back demodulation with 140. % 1.28/1.70 >>>> Starting back demodulation with 142. % 1.28/1.70 >>>> Starting back demodulation with 144. % 1.28/1.70 >>>> Starting back demodulation with 146. % 1.28/1.70 >>>> Starting back demodulation with 148. % 1.28/1.70 >>>> Starting back demodulation with 150. % 1.28/1.70 >>>> Starting back demodulation with 152. % 1.28/1.70 >>>> Starting back demodulation with 154. % 1.28/1.70 >>>> Starting back demodulation with 156. % 1.28/1.70 >>>> Starting back demodulation with 158. % 1.28/1.70 >>>> Starting back demodulation with 160. % 1.28/1.70 >>>> Starting back demodulation with 162. % 1.28/1.70 >>>> Starting back demodulation with 164. % 1.28/1.70 >>>> Starting back demodulation with 166. % 1.28/1.70 >>>> Starting back demodulation with 168. % 1.28/1.70 >>>> Starting back demodulation with 170. % 1.28/1.70 >>>> Starting back demodulation with 172. % 1.28/1.70 >>>> Starting back demodulation with 174. % 1.28/1.70 Following clause subsumed by 5 during input processing: 0 [copy,175,flip.1] fail(A,B)=par(A,B,step(A),step(B)). % 1.28/1.70 Following clause subsumed by 8 during input processing: 0 [copy,176,flip.1] par(A,B,nothing,just(C))=just(x(A,C)). % 1.28/1.70 Following clause subsumed by 9 during input processing: 0 [copy,177,flip.1] par(A,B,just(C),nothing)=just(x(C,B)). % 1.28/1.70 Following clause subsumed by 10 during input processing: 0 [copy,178,flip.1] par(A,B,just(C),just(D))=just(x(C,D)). % 1.28/1.70 >>>> Starting back demodulation with 181. % 1.28/1.70 % 1.28/1.70 ======= end of input processing ======= % 1.28/1.70 % 1.28/1.70 =========== start of search =========== % 1.28/1.70 % 1.28/1.70 % 1.28/1.70 Resetting weight limit to 13. % 1.28/1.70 % 1.28/1.70 % 1.28/1.70 Resetting weight limit to 13. % 1.28/1.70 % 1.28/1.70 sos_size=432 % 1.28/1.70 % 1.28/1.70 % 1.28/1.70 Resetting weight limit to 11. % 1.28/1.70 % 1.28/1.70 % 1.28/1.70 Resetting weight limit to 11. % 1.28/1.70 % 1.28/1.70 sos_size=291 % 1.28/1.70 % 1.28/1.70 Search stopped because sos empty. % 1.28/1.70 % 1.28/1.70 % 1.28/1.70 Search stopped because sos empty. % 1.28/1.70 % 1.28/1.70 ============ end of search ============ % 1.28/1.70 % 1.28/1.70 -------------- statistics ------------- % 1.28/1.70 clauses given 941 % 1.28/1.70 clauses generated 16575 % 1.28/1.70 clauses kept 1006 % 1.28/1.70 clauses forward subsumed 5064 % 1.28/1.70 clauses back subsumed 2 % 1.28/1.70 Kbytes malloced 7812 % 1.28/1.70 % 1.28/1.70 ----------- times (seconds) ----------- % 1.28/1.70 user CPU time 0.09 (0 hr, 0 min, 0 sec) % 1.28/1.70 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 1.28/1.70 wall-clock time 2 (0 hr, 0 min, 2 sec) % 1.28/1.70 % 1.28/1.70 Process 28189 finished Tue May 5 07:45:58 2026 % 1.28/1.70 Otter interrupted % 1.28/1.70 PROOF NOT FOUND %------------------------------------------------------------------------------