%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX227-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 5 07:05:28 PM UTC 2026 % Result : Unknown 1.37s 1.70s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX227-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.07 % Command : otter-tptp-script %s % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue May 5 12:54:15 EDT 2026 % 0.07/0.25 % CPUTime : % 1.02/1.66 ----- Otter 3.3f, August 2004 ----- % 1.02/1.66 The process was started by sandbox on n012.cluster.edu, % 1.02/1.66 Tue May 5 12:54:15 2026 % 1.02/1.66 The command was "./otter". The process ID is 32133. % 1.02/1.66 % 1.02/1.66 set(prolog_style_variables). % 1.02/1.66 set(auto). % 1.02/1.66 dependent: set(auto1). % 1.02/1.66 dependent: set(process_input). % 1.02/1.66 dependent: clear(print_kept). % 1.02/1.66 dependent: clear(print_new_demod). % 1.02/1.66 dependent: clear(print_back_demod). % 1.02/1.66 dependent: clear(print_back_sub). % 1.02/1.66 dependent: set(control_memory). % 1.02/1.66 dependent: assign(max_mem, 12000). % 1.02/1.66 dependent: assign(pick_given_ratio, 4). % 1.02/1.66 dependent: assign(stats_level, 1). % 1.02/1.66 dependent: assign(max_seconds, 10800). % 1.02/1.66 clear(print_given). % 1.02/1.66 % 1.02/1.66 list(usable). % 1.02/1.66 0 [] A=A. % 1.02/1.66 0 [] aux(Y,N,nothing)=nothing. % 1.02/1.66 0 [] aux(Y,N,just(U))=astep(N,U). % 1.02/1.66 0 [] fail(Y,Z)=par(Y,Z,step(Y),step(Z)). % 1.02/1.66 0 [] par(X,Y,nothing,nothing)=nothing. % 1.02/1.66 0 [] par(X,Y,nothing,just(U_red))=just(x(X,U_red)). % 1.02/1.66 0 [] par(X,Y,just(T_red),nothing)=just(x(T_red,Y)). % 1.02/1.66 0 [] par(X,Y,just(T_red),just(U_red2))=just(x(T_red,U_red2)). % 1.02/1.66 0 [] step(x(x(x(s,F),G),Z))=just(x(x(F,Z),x(G,Z))). % 1.02/1.66 0 [] step(x(x(x(b,F),G),Z))=just(x(F,x(G,Z))). % 1.02/1.66 0 [] step(x(x(x(c,F),G),Z))=just(x(x(F,Z),G)). % 1.02/1.66 0 [] step(x(x(x(x(X,X2),F),G),Z))=fail(x(x(x(X,X2),F),G),Z). % 1.02/1.66 0 [] step(x(x(x(theVar,F),G),Z))=fail(x(x(theVar,F),G),Z). % 1.02/1.66 0 [] step(x(x(x(k,F),G),Z))=fail(x(x(k,F),G),Z). % 1.02/1.66 0 [] step(x(x(x(i,F),G),Z))=fail(x(x(i,F),G),Z). % 1.02/1.66 0 [] step(x(x(k,G),Z))=just(G). % 1.02/1.66 0 [] step(x(x(theVar,G),Z))=fail(x(theVar,G),Z). % 1.02/1.66 0 [] step(x(x(i,G),Z))=fail(x(i,G),Z). % 1.02/1.66 0 [] step(x(x(s,G),Z))=fail(x(s,G),Z). % 1.02/1.66 0 [] step(x(x(b,G),Z))=fail(x(b,G),Z). % 1.02/1.66 0 [] step(x(x(c,G),Z))=fail(x(c,G),Z). % 1.02/1.66 0 [] step(x(i,Z))=just(Z). % 1.02/1.66 0 [] step(x(theVar,Z))=fail(theVar,Z). % 1.02/1.66 0 [] step(x(k,Z))=fail(k,Z). % 1.02/1.66 0 [] step(x(s,Z))=fail(s,Z). % 1.02/1.66 0 [] step(x(b,Z))=fail(b,Z). % 1.02/1.66 0 [] step(x(c,Z))=fail(c,Z). % 1.02/1.66 0 [] step(theVar)=nothing. % 1.02/1.66 0 [] step(k)=nothing. % 1.02/1.66 0 [] step(i)=nothing. % 1.02/1.66 0 [] step(s)=nothing. % 1.02/1.66 0 [] step(b)=nothing. % 1.02/1.66 0 [] step(c)=nothing. % 1.02/1.66 0 [] orb(btrue,Q)=btrue. % 1.02/1.66 0 [] orb(bfalse,Q)=Q. % 1.02/1.66 0 [] impl(btrue,Q)=Q. % 1.02/1.66 0 [] impl(bfalse,Q)=btrue. % 1.02/1.66 0 [] cheating(x(A,B))=orb(cheating(A),cheating(B)). % 1.02/1.66 0 [] cheating(theVar)=btrue. % 1.02/1.66 0 [] cheating(k)=bfalse. % 1.02/1.66 0 [] cheating(i)=bfalse. % 1.02/1.66 0 [] cheating(s)=bfalse. % 1.02/1.66 0 [] cheating(b)=bfalse. % 1.02/1.66 0 [] cheating(c)=bfalse. % 1.02/1.66 0 [] astep(suc(N),Y)=aux(Y,N,step(Y)). % 1.02/1.66 0 [] astep(z,Y)=just(Y). % 1.02/1.66 0 [] thm_why_easy_small(X)=impl(e_q3(astep(suc(suc(suc(suc(z)))),x(X,theVar)),just(x(theVar,x(X,theVar)))),e_q4(cheating(X),btrue)). % 1.02/1.66 0 [] e_q(theVar,k)=bfalse. % 1.02/1.66 0 [] e_q(theVar,i)=bfalse. % 1.02/1.66 0 [] e_q(theVar,s)=bfalse. % 1.02/1.66 0 [] e_q(theVar,b)=bfalse. % 1.02/1.66 0 [] e_q(theVar,c)=bfalse. % 1.02/1.66 0 [] e_q(k,theVar)=bfalse. % 1.02/1.66 0 [] e_q(k,i)=bfalse. % 1.02/1.66 0 [] e_q(k,s)=bfalse. % 1.02/1.66 0 [] e_q(k,b)=bfalse. % 1.02/1.66 0 [] e_q(k,c)=bfalse. % 1.02/1.66 0 [] e_q(i,theVar)=bfalse. % 1.02/1.66 0 [] e_q(i,k)=bfalse. % 1.02/1.66 0 [] e_q(i,s)=bfalse. % 1.02/1.66 0 [] e_q(i,b)=bfalse. % 1.02/1.66 0 [] e_q(i,c)=bfalse. % 1.02/1.66 0 [] e_q(s,theVar)=bfalse. % 1.02/1.66 0 [] e_q(s,k)=bfalse. % 1.02/1.66 0 [] e_q(s,i)=bfalse. % 1.02/1.66 0 [] e_q(s,b)=bfalse. % 1.02/1.66 0 [] e_q(s,c)=bfalse. % 1.02/1.66 0 [] e_q(b,theVar)=bfalse. % 1.02/1.66 0 [] e_q(b,k)=bfalse. % 1.02/1.66 0 [] e_q(b,i)=bfalse. % 1.02/1.66 0 [] e_q(b,s)=bfalse. % 1.02/1.66 0 [] e_q(b,c)=bfalse. % 1.02/1.66 0 [] e_q(c,theVar)=bfalse. % 1.02/1.66 0 [] e_q(c,k)=bfalse. % 1.02/1.66 0 [] e_q(c,i)=bfalse. % 1.02/1.66 0 [] e_q(c,s)=bfalse. % 1.02/1.66 0 [] e_q(c,b)=bfalse. % 1.02/1.66 0 [] e_q4(bfalse,btrue)=bfalse. % 1.02/1.66 0 [] e_q4(btrue,bfalse)=bfalse. % 1.02/1.66 0 [] e_q(X,Z)!=bfalse|e_q(x(X,Y),x(Z,X2))=bfalse. % 1.02/1.66 0 [] e_q(X,Z)!=btrue|e_q(x(X,Y),x(Z,X2))=e_q(Y,X2). % 1.02/1.66 0 [] e_q(x(X,Y),theVar)=bfalse. % 1.02/1.66 0 [] e_q(x(X,Y),k)=bfalse. % 1.02/1.66 0 [] e_q(x(X,Y),i)=bfalse. % 1.02/1.66 0 [] e_q(x(X,Y),s)=bfalse. % 1.02/1.66 0 [] e_q(x(X,Y),b)=bfalse. % 1.02/1.66 0 [] e_q(x(X,Y),c)=bfalse. % 1.02/1.66 0 [] e_q(theVar,x(X,Y))=bfalse. % 1.02/1.66 0 [] e_q(k,x(X,Y))=bfalse. % 1.02/1.66 0 [] e_q(i,x(X,Y))=bfalse. % 1.02/1.66 0 [] e_q(s,x(X,Y))=bfalse. % 1.02/1.66 0 [] e_q(b,x(X,Y))=bfalse. % 1.02/1.66 0 [] e_q(c,x(X,Y))=bfalse. % 1.02/1.66 0 [] e_q2(suc(X),suc(Y))=e_q2(X,Y). % 1.02/1.66 0 [] e_q2(suc(X),z)=bfalse. % 1.02/1.66 0 [] e_q2(z,suc(X))=bfalse. % 1.02/1.66 0 [] e_q(X,X)=btrue. % 1.02/1.66 0 [] e_q2(X,X)=btrue. % 1.02/1.66 0 [] e_q3(X,X)=btrue. % 1.02/1.66 0 [] e_q4(X,X)=btrue. % 1.02/1.66 0 [] e_q3(just(X),just(Y))=e_q(X,Y). % 1.02/1.66 0 [] e_q3(nothing,just(X))=bfalse. % 1.02/1.66 0 [] e_q3(just(X),nothing)=bfalse. % 1.02/1.66 0 [] e_q4(thm_why_easy_small(X),bfalse)!=btrue. % 1.02/1.66 end_of_list. % 1.02/1.66 % 1.02/1.66 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2. % 1.02/1.66 % 1.02/1.66 This is a Horn set with equality. The strategy will be % 1.02/1.66 Knuth-Bendix and hyper_res, with positive clauses in % 1.02/1.66 sos and nonpositive clauses in usable. % 1.02/1.66 % 1.02/1.66 dependent: set(knuth_bendix). % 1.02/1.66 dependent: set(anl_eq). % 1.02/1.66 dependent: set(para_from). % 1.02/1.66 dependent: set(para_into). % 1.02/1.66 dependent: clear(para_from_right). % 1.02/1.66 dependent: clear(para_into_right). % 1.02/1.66 dependent: set(para_from_vars). % 1.02/1.66 dependent: set(eq_units_both_ways). % 1.02/1.66 dependent: set(dynamic_demod_all). % 1.02/1.66 dependent: set(dynamic_demod). % 1.02/1.66 dependent: set(order_eq). % 1.02/1.66 dependent: set(back_demod). % 1.02/1.66 dependent: set(lrpo). % 1.02/1.66 dependent: set(hyper_res). % 1.02/1.66 dependent: clear(order_hyper). % 1.02/1.66 % 1.02/1.66 ------------> process usable: % 1.02/1.66 ** KEPT (pick-wt=14): 1 [] e_q(A,B)!=bfalse|e_q(x(A,C),x(B,D))=bfalse. % 1.02/1.66 ** KEPT (pick-wt=16): 2 [] e_q(A,B)!=btrue|e_q(x(A,C),x(B,D))=e_q(C,D). % 1.02/1.66 ** KEPT (pick-wt=6): 3 [] e_q4(thm_why_easy_small(A),bfalse)!=btrue. % 1.02/1.66 % 1.02/1.66 ------------> process sos: % 1.02/1.66 ** KEPT (pick-wt=3): 4 [] A=A. % 1.02/1.66 ** KEPT (pick-wt=6): 5 [] aux(A,B,nothing)=nothing. % 1.02/1.66 ---> New Demodulator: 6 [new_demod,5] aux(A,B,nothing)=nothing. % 1.02/1.66 ** KEPT (pick-wt=9): 7 [] aux(A,B,just(C))=astep(B,C). % 1.02/1.66 ** KEPT (pick-wt=11): 8 [] fail(A,B)=par(A,B,step(A),step(B)). % 1.02/1.66 ** KEPT (pick-wt=7): 9 [] par(A,B,nothing,nothing)=nothing. % 1.02/1.66 ---> New Demodulator: 10 [new_demod,9] par(A,B,nothing,nothing)=nothing. % 1.02/1.66 ** KEPT (pick-wt=11): 11 [] par(A,B,nothing,just(C))=just(x(A,C)). % 1.02/1.66 ** KEPT (pick-wt=11): 12 [] par(A,B,just(C),nothing)=just(x(C,B)). % 1.02/1.66 ** KEPT (pick-wt=12): 13 [] par(A,B,just(C),just(D))=just(x(C,D)). % 1.02/1.66 ** KEPT (pick-wt=17): 14 [] step(x(x(x(s,A),B),C))=just(x(x(A,C),x(B,C))). % 1.02/1.66 ---> New Demodulator: 15 [new_demod,14] step(x(x(x(s,A),B),C))=just(x(x(A,C),x(B,C))). % 1.02/1.66 ** KEPT (pick-wt=15): 16 [] step(x(x(x(b,A),B),C))=just(x(A,x(B,C))). % 1.02/1.66 ---> New Demodulator: 17 [new_demod,16] step(x(x(x(b,A),B),C))=just(x(A,x(B,C))). % 1.02/1.66 ** KEPT (pick-wt=15): 18 [] step(x(x(x(c,A),B),C))=just(x(x(A,C),B)). % 1.02/1.66 ---> New Demodulator: 19 [new_demod,18] step(x(x(x(c,A),B),C))=just(x(x(A,C),B)). % 1.02/1.66 ** KEPT (pick-wt=20): 20 [] step(x(x(x(x(A,B),C),D),E))=fail(x(x(x(A,B),C),D),E). % 1.02/1.66 ---> New Demodulator: 21 [new_demod,20] step(x(x(x(x(A,B),C),D),E))=fail(x(x(x(A,B),C),D),E). % 1.02/1.66 ** KEPT (pick-wt=16): 22 [] step(x(x(x(theVar,A),B),C))=fail(x(x(theVar,A),B),C). % 1.02/1.66 ---> New Demodulator: 23 [new_demod,22] step(x(x(x(theVar,A),B),C))=fail(x(x(theVar,A),B),C). % 1.02/1.66 ** KEPT (pick-wt=16): 24 [] step(x(x(x(k,A),B),C))=fail(x(x(k,A),B),C). % 1.02/1.66 ---> New Demodulator: 25 [new_demod,24] step(x(x(x(k,A),B),C))=fail(x(x(k,A),B),C). % 1.02/1.66 ** KEPT (pick-wt=16): 26 [] step(x(x(x(i,A),B),C))=fail(x(x(i,A),B),C). % 1.02/1.66 ---> New Demodulator: 27 [new_demod,26] step(x(x(x(i,A),B),C))=fail(x(x(i,A),B),C). % 1.02/1.66 ** KEPT (pick-wt=9): 28 [] step(x(x(k,A),B))=just(A). % 1.02/1.66 ---> New Demodulator: 29 [new_demod,28] step(x(x(k,A),B))=just(A). % 1.02/1.66 ** KEPT (pick-wt=12): 30 [] step(x(x(theVar,A),B))=fail(x(theVar,A),B). % 1.02/1.66 ---> New Demodulator: 31 [new_demod,30] step(x(x(theVar,A),B))=fail(x(theVar,A),B). % 1.02/1.66 ** KEPT (pick-wt=12): 32 [] step(x(x(i,A),B))=fail(x(i,A),B). % 1.02/1.66 ---> New Demodulator: 33 [new_demod,32] step(x(x(i,A),B))=fail(x(i,A),B). % 1.02/1.66 ** KEPT (pick-wt=12): 34 [] step(x(x(s,A),B))=fail(x(s,A),B). % 1.02/1.66 ---> New Demodulator: 35 [new_demod,34] step(x(x(s,A),B))=fail(x(s,A),B). % 1.02/1.66 ** KEPT (pick-wt=12): 36 [] step(x(x(b,A),B))=fail(x(b,A),B). % 1.02/1.66 ---> New Demodulator: 37 [new_demod,36] step(x(x(b,A),B))=fail(x(b,A),B). % 1.02/1.66 ** KEPT (pick-wt=12): 38 [] step(x(x(c,A),B))=fail(x(c,A),B). % 1.02/1.66 ---> New Demodulator: 39 [new_demod,38] step(x(x(c,A),B))=fail(x(c,A),B). % 1.02/1.66 ** KEPT (pick-wt=7): 40 [] step(x(i,A))=just(A). % 1.02/1.66 ---> New Demodulator: 41 [new_demod,40] step(x(i,A))=just(A). % 1.02/1.66 ** KEPT (pick-wt=8): 42 [] step(x(theVar,A))=fail(theVar,A). % 1.02/1.66 ---> New Demodulator: 43 [new_demod,42] step(x(theVar,A))=fail(theVar,A). % 1.02/1.66 ** KEPT (pick-wt=8): 44 [] step(x(k,A))=fail(k,A). % 1.02/1.66 ---> New Demodulator: 45 [new_demod,44] step(x(k,A))=fail(k,A). % 1.02/1.66 ** KEPT (pick-wt=8): 46 [] step(x(s,A))=fail(s,A). % 1.02/1.66 ---> New Demodulator: 47 [new_demod,46] step(x(s,A))=fail(s,A). % 1.02/1.66 ** KEPT (pick-wt=8): 48 [] step(x(b,A))=fail(b,A). % 1.02/1.66 ---> New Demodulator: 49 [new_demod,48] step(x(b,A))=fail(b,A). % 1.02/1.66 ** KEPT (pick-wt=8): 50 [] step(x(c,A))=fail(c,A). % 1.02/1.66 ---> New Demodulator: 51 [new_demod,50] step(x(c,A))=fail(c,A). % 1.02/1.66 ** KEPT (pick-wt=4): 52 [] step(theVar)=nothing. % 1.02/1.66 ---> New Demodulator: 53 [new_demod,52] step(theVar)=nothing. % 1.02/1.66 ** KEPT (pick-wt=4): 54 [] step(k)=nothing. % 1.02/1.66 ---> New Demodulator: 55 [new_demod,54] step(k)=nothing. % 1.02/1.66 ** KEPT (pick-wt=4): 56 [] step(i)=nothing. % 1.02/1.66 ---> New Demodulator: 57 [new_demod,56] step(i)=nothing. % 1.02/1.66 ** KEPT (pick-wt=4): 58 [] step(s)=nothing. % 1.02/1.66 ---> New Demodulator: 59 [new_demod,58] step(s)=nothing. % 1.02/1.66 ** KEPT (pick-wt=4): 60 [] step(b)=nothing. % 1.02/1.66 ---> New Demodulator: 61 [new_demod,60] step(b)=nothing. % 1.02/1.66 ** KEPT (pick-wt=4): 62 [] step(c)=nothing. % 1.02/1.66 ---> New Demodulator: 63 [new_demod,62] step(c)=nothing. % 1.02/1.66 ** KEPT (pick-wt=5): 64 [] orb(btrue,A)=btrue. % 1.02/1.66 ---> New Demodulator: 65 [new_demod,64] orb(btrue,A)=btrue. % 1.02/1.66 ** KEPT (pick-wt=5): 66 [] orb(bfalse,A)=A. % 1.02/1.66 ---> New Demodulator: 67 [new_demod,66] orb(bfalse,A)=A. % 1.02/1.66 ** KEPT (pick-wt=5): 68 [] impl(btrue,A)=A. % 1.02/1.66 ---> New Demodulator: 69 [new_demod,68] impl(btrue,A)=A. % 1.02/1.66 ** KEPT (pick-wt=5): 70 [] impl(bfalse,A)=btrue. % 1.02/1.66 ---> New Demodulator: 71 [new_demod,70] impl(bfalse,A)=btrue. % 1.02/1.66 ** KEPT (pick-wt=10): 72 [] cheating(x(A,B))=orb(cheating(A),cheating(B)). % 1.02/1.66 ---> New Demodulator: 73 [new_demod,72] cheating(x(A,B))=orb(cheating(A),cheating(B)). % 1.02/1.66 ** KEPT (pick-wt=4): 74 [] cheating(theVar)=btrue. % 1.02/1.66 ---> New Demodulator: 75 [new_demod,74] cheating(theVar)=btrue. % 1.02/1.66 ** KEPT (pick-wt=4): 76 [] cheating(k)=bfalse. % 1.02/1.66 ---> New Demodulator: 77 [new_demod,76] cheating(k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=4): 78 [] cheating(i)=bfalse. % 1.02/1.66 ---> New Demodulator: 79 [new_demod,78] cheating(i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=4): 80 [] cheating(s)=bfalse. % 1.02/1.66 ---> New Demodulator: 81 [new_demod,80] cheating(s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=4): 82 [] cheating(b)=bfalse. % 1.02/1.66 ---> New Demodulator: 83 [new_demod,82] cheating(b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=4): 84 [] cheating(c)=bfalse. % 1.02/1.66 ---> New Demodulator: 85 [new_demod,84] cheating(c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=10): 86 [] astep(suc(A),B)=aux(B,A,step(B)). % 1.02/1.66 ** KEPT (pick-wt=6): 88 [copy,87,flip.1] just(A)=astep(z,A). % 1.02/1.66 ---> New Demodulator: 89 [new_demod,88] just(A)=astep(z,A). % 1.02/1.66 ** KEPT (pick-wt=25): 91 [copy,90,demod,89] thm_why_easy_small(A)=impl(e_q3(astep(suc(suc(suc(suc(z)))),x(A,theVar)),astep(z,x(theVar,x(A,theVar)))),e_q4(cheating(A),btrue)). % 1.02/1.66 ---> New Demodulator: 92 [new_demod,91] thm_why_easy_small(A)=impl(e_q3(astep(suc(suc(suc(suc(z)))),x(A,theVar)),astep(z,x(theVar,x(A,theVar)))),e_q4(cheating(A),btrue)). % 1.02/1.66 ** KEPT (pick-wt=5): 93 [] e_q(theVar,k)=bfalse. % 1.02/1.66 ---> New Demodulator: 94 [new_demod,93] e_q(theVar,k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 95 [] e_q(theVar,i)=bfalse. % 1.02/1.66 ---> New Demodulator: 96 [new_demod,95] e_q(theVar,i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 97 [] e_q(theVar,s)=bfalse. % 1.02/1.66 ---> New Demodulator: 98 [new_demod,97] e_q(theVar,s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 99 [] e_q(theVar,b)=bfalse. % 1.02/1.66 ---> New Demodulator: 100 [new_demod,99] e_q(theVar,b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 101 [] e_q(theVar,c)=bfalse. % 1.02/1.66 ---> New Demodulator: 102 [new_demod,101] e_q(theVar,c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 103 [] e_q(k,theVar)=bfalse. % 1.02/1.66 ---> New Demodulator: 104 [new_demod,103] e_q(k,theVar)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 105 [] e_q(k,i)=bfalse. % 1.02/1.66 ---> New Demodulator: 106 [new_demod,105] e_q(k,i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 107 [] e_q(k,s)=bfalse. % 1.02/1.66 ---> New Demodulator: 108 [new_demod,107] e_q(k,s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 109 [] e_q(k,b)=bfalse. % 1.02/1.66 ---> New Demodulator: 110 [new_demod,109] e_q(k,b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 111 [] e_q(k,c)=bfalse. % 1.02/1.66 ---> New Demodulator: 112 [new_demod,111] e_q(k,c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 113 [] e_q(i,theVar)=bfalse. % 1.02/1.66 ---> New Demodulator: 114 [new_demod,113] e_q(i,theVar)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 115 [] e_q(i,k)=bfalse. % 1.02/1.66 ---> New Demodulator: 116 [new_demod,115] e_q(i,k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 117 [] e_q(i,s)=bfalse. % 1.02/1.66 ---> New Demodulator: 118 [new_demod,117] e_q(i,s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 119 [] e_q(i,b)=bfalse. % 1.02/1.66 ---> New Demodulator: 120 [new_demod,119] e_q(i,b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 121 [] e_q(i,c)=bfalse. % 1.02/1.66 ---> New Demodulator: 122 [new_demod,121] e_q(i,c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 123 [] e_q(s,theVar)=bfalse. % 1.02/1.66 ---> New Demodulator: 124 [new_demod,123] e_q(s,theVar)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 125 [] e_q(s,k)=bfalse. % 1.02/1.66 ---> New Demodulator: 126 [new_demod,125] e_q(s,k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 127 [] e_q(s,i)=bfalse. % 1.02/1.66 ---> New Demodulator: 128 [new_demod,127] e_q(s,i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 129 [] e_q(s,b)=bfalse. % 1.02/1.66 ---> New Demodulator: 130 [new_demod,129] e_q(s,b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 131 [] e_q(s,c)=bfalse. % 1.02/1.66 ---> New Demodulator: 132 [new_demod,131] e_q(s,c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 133 [] e_q(b,theVar)=bfalse. % 1.02/1.66 ---> New Demodulator: 134 [new_demod,133] e_q(b,theVar)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 135 [] e_q(b,k)=bfalse. % 1.02/1.66 ---> New Demodulator: 136 [new_demod,135] e_q(b,k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 137 [] e_q(b,i)=bfalse. % 1.02/1.66 ---> New Demodulator: 138 [new_demod,137] e_q(b,i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 139 [] e_q(b,s)=bfalse. % 1.02/1.66 ---> New Demodulator: 140 [new_demod,139] e_q(b,s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 141 [] e_q(b,c)=bfalse. % 1.02/1.66 ---> New Demodulator: 142 [new_demod,141] e_q(b,c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 143 [] e_q(c,theVar)=bfalse. % 1.02/1.66 ---> New Demodulator: 144 [new_demod,143] e_q(c,theVar)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 145 [] e_q(c,k)=bfalse. % 1.02/1.66 ---> New Demodulator: 146 [new_demod,145] e_q(c,k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 147 [] e_q(c,i)=bfalse. % 1.02/1.66 ---> New Demodulator: 148 [new_demod,147] e_q(c,i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 149 [] e_q(c,s)=bfalse. % 1.02/1.66 ---> New Demodulator: 150 [new_demod,149] e_q(c,s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 151 [] e_q(c,b)=bfalse. % 1.02/1.66 ---> New Demodulator: 152 [new_demod,151] e_q(c,b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 153 [] e_q4(bfalse,btrue)=bfalse. % 1.02/1.66 ---> New Demodulator: 154 [new_demod,153] e_q4(bfalse,btrue)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=5): 155 [] e_q4(btrue,bfalse)=bfalse. % 1.02/1.66 ---> New Demodulator: 156 [new_demod,155] e_q4(btrue,bfalse)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 157 [] e_q(x(A,B),theVar)=bfalse. % 1.02/1.66 ---> New Demodulator: 158 [new_demod,157] e_q(x(A,B),theVar)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 159 [] e_q(x(A,B),k)=bfalse. % 1.02/1.66 ---> New Demodulator: 160 [new_demod,159] e_q(x(A,B),k)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 161 [] e_q(x(A,B),i)=bfalse. % 1.02/1.66 ---> New Demodulator: 162 [new_demod,161] e_q(x(A,B),i)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 163 [] e_q(x(A,B),s)=bfalse. % 1.02/1.66 ---> New Demodulator: 164 [new_demod,163] e_q(x(A,B),s)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 165 [] e_q(x(A,B),b)=bfalse. % 1.02/1.66 ---> New Demodulator: 166 [new_demod,165] e_q(x(A,B),b)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 167 [] e_q(x(A,B),c)=bfalse. % 1.02/1.66 ---> New Demodulator: 168 [new_demod,167] e_q(x(A,B),c)=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 169 [] e_q(theVar,x(A,B))=bfalse. % 1.02/1.66 ---> New Demodulator: 170 [new_demod,169] e_q(theVar,x(A,B))=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 171 [] e_q(k,x(A,B))=bfalse. % 1.02/1.66 ---> New Demodulator: 172 [new_demod,171] e_q(k,x(A,B))=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 173 [] e_q(i,x(A,B))=bfalse. % 1.02/1.66 ---> New Demodulator: 174 [new_demod,173] e_q(i,x(A,B))=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 175 [] e_q(s,x(A,B))=bfalse. % 1.02/1.66 ---> New Demodulator: 176 [new_demod,175] e_q(s,x(A,B))=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 177 [] e_q(b,x(A,B))=bfalse. % 1.02/1.66 ---> New Demodulator: 178 [new_demod,177] e_q(b,x(A,B))=bfalse. % 1.02/1.66 ** KEPT (pick-wt=7): 179 [] e_q(c,x(A,B))=bfalse. % 1.02/1.66 ---> New Demodulator: 180 [new_demod,179] e_q(c,x(A,B))=bfalse. % 1.02/1.67 ** KEPT (pick-wt=9): 181 [] e_q2(suc(A),suc(B))=e_q2(A,B). % 1.02/1.67 ---> New Demodulator: 182 [new_demod,181] e_q2(suc(A),suc(B))=e_q2(A,B). % 1.02/1.67 ** KEPT (pick-wt=6): 183 [] e_q2(suc(A),z)=bfalse. % 1.02/1.67 ---> New Demodulator: 184 [new_demod,183] e_q2(suc(A),z)=bfalse. % 1.02/1.67 ** KEPT (pick-wt=6): 185 [] e_q2(z,suc(A))=bfalse. % 1.02/1.67 ---> New Demodulator: 186 [new_demod,185] e_q2(z,suc(A))=bfalse. % 1.02/1.67 ** KEPT (pick-wt=5): 187 [] e_q(A,A)=btrue. % 1.02/1.67 ---> New Demodulator: 188 [new_demod,187] e_q(A,A)=btrue. % 1.02/1.67 ** KEPT (pick-wt=5): 189 [] e_q2(A,A)=btrue. % 1.02/1.67 ---> New Demodulator: 190 [new_demod,189] e_q2(A,A)=btrue. % 1.02/1.67 ** KEPT (pick-wt=5): 191 [] e_q3(A,A)=btrue. % 1.02/1.67 ---> New Demodulator: 192 [new_demod,191] e_q3(A,A)=btrue. % 1.02/1.67 ** KEPT (pick-wt=5): 193 [] e_q4(A,A)=btrue. % 1.02/1.67 ---> New Demodulator: 194 [new_demod,193] e_q4(A,A)=btrue. % 1.02/1.67 ** KEPT (pick-wt=11): 196 [copy,195,demod,89,89] e_q3(astep(z,A),astep(z,B))=e_q(A,B). % 1.02/1.67 ---> New Demodulator: 197 [new_demod,196] e_q3(astep(z,A),astep(z,B))=e_q(A,B). % 1.02/1.67 ** KEPT (pick-wt=7): 199 [copy,198,demod,89] e_q3(nothing,astep(z,A))=bfalse. % 1.02/1.67 ---> New Demodulator: 200 [new_demod,199] e_q3(nothing,astep(z,A))=bfalse. % 1.02/1.67 ** KEPT (pick-wt=7): 202 [copy,201,demod,89] e_q3(astep(z,A),nothing)=bfalse. % 1.02/1.67 ---> New Demodulator: 203 [new_demod,202] e_q3(astep(z,A),nothing)=bfalse. % 1.02/1.67 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A. % 1.02/1.67 >>>> Starting back demodulation with 6. % 1.02/1.67 ** KEPT (pick-wt=10): 204 [copy,7,flip.1,demod,89] astep(A,B)=aux(C,A,astep(z,B)). % 1.02/1.67 ** KEPT (pick-wt=11): 205 [copy,8,flip.1] par(A,B,step(A),step(B))=fail(A,B). % 1.02/1.67 >>>> Starting back demodulation with 10. % 1.02/1.67 ** KEPT (pick-wt=13): 206 [copy,11,flip.1,demod,89,89] astep(z,x(A,B))=par(A,C,nothing,astep(z,B)). % 1.02/1.67 ** KEPT (pick-wt=13): 207 [copy,12,flip.1,demod,89,89] astep(z,x(A,B))=par(C,B,astep(z,A),nothing). % 1.02/1.67 ** KEPT (pick-wt=15): 208 [copy,13,flip.1,demod,89,89,89] astep(z,x(A,B))=par(C,D,astep(z,A),astep(z,B)). % 1.02/1.67 >>>> Starting back demodulation with 15. % 1.02/1.67 >>>> Starting back demodulation with 17. % 1.02/1.67 >>>> Starting back demodulation with 19. % 1.02/1.67 >>>> Starting back demodulation with 21. % 1.02/1.67 >>>> Starting back demodulation with 23. % 1.02/1.67 >>>> Starting back demodulation with 25. % 1.02/1.67 >>>> Starting back demodulation with 27. % 1.02/1.67 >>>> Starting back demodulation with 29. % 1.02/1.67 >>>> Starting back demodulation with 31. % 1.02/1.67 >>>> Starting back demodulation with 33. % 1.02/1.67 >>>> Starting back demodulation with 35. % 1.02/1.67 >>>> Starting back demodulation with 37. % 1.02/1.67 >>>> Starting back demodulation with 39. % 1.02/1.67 >>>> Starting back demodulation with 41. % 1.02/1.67 >>>> Starting back demodulation with 43. % 1.02/1.67 >>>> Starting back demodulation with 45. % 1.02/1.67 >>>> Starting back demodulation with 47. % 1.02/1.67 >>>> Starting back demodulation with 49. % 1.02/1.67 >>>> Starting back demodulation with 51. % 1.02/1.67 >>>> Starting back demodulation with 53. % 1.02/1.67 >>>> Starting back demodulation with 55. % 1.02/1.67 >>>> Starting back demodulation with 57. % 1.02/1.67 >>>> Starting back demodulation with 59. % 1.02/1.67 >>>> Starting back demodulation with 61. % 1.02/1.67 >>>> Starting back demodulation with 63. % 1.02/1.67 >>>> Starting back demodulation with 65. % 1.02/1.67 >>>> Starting back demodulation with 67. % 1.02/1.67 >>>> Starting back demodulation with 69. % 1.02/1.67 >>>> Starting back demodulation with 71. % 1.02/1.67 >>>> Starting back demodulation with 73. % 1.02/1.67 >>>> Starting back demodulation with 75. % 1.02/1.67 >>>> Starting back demodulation with 77. % 1.02/1.67 >>>> Starting back demodulation with 79. % 1.02/1.67 >>>> Starting back demodulation with 81. % 1.02/1.67 >>>> Starting back demodulation with 83. % 1.02/1.67 >>>> Starting back demodulation with 85. % 1.02/1.67 ** KEPT (pick-wt=10): 209 [copy,86,flip.1] aux(A,B,step(A))=astep(suc(B),A). % 1.02/1.67 >>>> Starting back demodulation with 89. % 1.02/1.67 >> back demodulating 40 with 89. % 1.02/1.67 >> back demodulating 28 with 89. % 1.02/1.67 >> back demodulating 18 with 89. % 1.02/1.67 >> back demodulating 16 with 89. % 1.02/1.67 >> back demodulating 14 with 89. % 1.02/1.67 >> back demodulating 13 with 89. % 1.02/1.67 >> back demodulating 12 with 89. % 1.02/1.67 >> back demodulating 11 with 89. % 1.02/1.67 >> back demodulating 7 with 89. % 1.02/1.67 >>>> Starting back demodulation with 92. % 1.02/1.67 >> back demodulating 3 with 92. % 1.02/1.67 >>>> Starting back demodulation with 94. % 1.02/1.67 >>>> Starting back demodulation with 96. % 1.02/1.67 >>>> Starting back demodulation with 98. % 1.02/1.67 >>>> Starting back demodulation with 100. % 1.02/1.67 >>>> Starting back demodulation with 102. % 1.02/1.67 >>>> Starting back demodulation with 104. % 1.02/1.67 >>>> Starting back demodulation with 106. % 1.02/1.67 >>>> Starting back demodulation with 108. % 1.02/1.67 >>>> Starting back demodulation with 110. % 1.02/1.67 >>>> Starting back demodulation with 112. % 1.02/1.67 >>>> Starting back demodulation with 114. % 1.02/1.67 >>>> Starting back demodulation with 116. % 1.02/1.67 >>>> Starting back demodulation with 118. % 1.02/1.67 >>>> Starting back demodulation with 120. % 1.02/1.67 >>>> Starting back demodulation with 122. % 1.02/1.67 >>>> Starting back demodulation with 124. % 1.02/1.67 >>>> Starting back demodulation with 126. % 1.02/1.67 >>>> Starting back demodulation with 128. % 1.02/1.67 >>>> Starting back demodulation with 130. % 1.02/1.67 >>>> Starting back demodulation with 132. % 1.02/1.67 >>>> Starting back demodulation with 134. % 1.02/1.67 >>>> Starting back demodulation with 136. % 1.02/1.67 >>>> Starting back demodulation with 138. % 1.02/1.67 >>>> Starting back demodulation with 140. % 1.02/1.67 >>>> Starting back demodulation with 142. % 1.02/1.67 >>>> Starting back demodulation with 144. % 1.02/1.67 >>>> Starting back demodulation with 146. % 1.02/1.67 >>>> Starting back demodulation with 148. % 1.02/1.67 >>>> Starting back demodulation with 150. % 1.37/1.70 >>>> Starting back demodulation with 152. % 1.37/1.70 >>>> Starting back demodulation with 154. % 1.37/1.70 >>>> Starting back demodulation with 156. % 1.37/1.70 >>>> Starting back demodulation with 158. % 1.37/1.70 >>>> Starting back demodulation with 160. % 1.37/1.70 >>>> Starting back demodulation with 162. % 1.37/1.70 >>>> Starting back demodulation with 164. % 1.37/1.70 >>>> Starting back demodulation with 166. % 1.37/1.70 >>>> Starting back demodulation with 168. % 1.37/1.70 >>>> Starting back demodulation with 170. % 1.37/1.70 >>>> Starting back demodulation with 172. % 1.37/1.70 >>>> Starting back demodulation with 174. % 1.37/1.70 >>>> Starting back demodulation with 176. % 1.37/1.70 >>>> Starting back demodulation with 178. % 1.37/1.70 >>>> Starting back demodulation with 180. % 1.37/1.70 >>>> Starting back demodulation with 182. % 1.37/1.70 >>>> Starting back demodulation with 184. % 1.37/1.70 >>>> Starting back demodulation with 186. % 1.37/1.70 >>>> Starting back demodulation with 188. % 1.37/1.70 >>>> Starting back demodulation with 190. % 1.37/1.70 >>>> Starting back demodulation with 192. % 1.37/1.70 >>>> Starting back demodulation with 194. % 1.37/1.70 >>>> Starting back demodulation with 197. % 1.37/1.70 >>>> Starting back demodulation with 200. % 1.37/1.70 >>>> Starting back demodulation with 203. % 1.37/1.70 Following clause subsumed by 223 during input processing: 0 [copy,204,flip.1] aux(A,B,astep(z,C))=astep(B,C). % 1.37/1.70 Following clause subsumed by 8 during input processing: 0 [copy,205,flip.1] fail(A,B)=par(A,B,step(A),step(B)). % 1.37/1.70 Following clause subsumed by 222 during input processing: 0 [copy,206,flip.1] par(A,B,nothing,astep(z,C))=astep(z,x(A,C)). % 1.37/1.70 Following clause subsumed by 221 during input processing: 0 [copy,207,flip.1] par(A,B,astep(z,C),nothing)=astep(z,x(C,B)). % 1.37/1.70 Following clause subsumed by 220 during input processing: 0 [copy,208,flip.1] par(A,B,astep(z,C),astep(z,D))=astep(z,x(C,D)). % 1.37/1.70 Following clause subsumed by 86 during input processing: 0 [copy,209,flip.1] astep(suc(A),B)=aux(B,A,step(B)). % 1.37/1.70 >>>> Starting back demodulation with 211. % 1.37/1.70 >>>> Starting back demodulation with 213. % 1.37/1.70 >>>> Starting back demodulation with 215. % 1.37/1.70 >>>> Starting back demodulation with 217. % 1.37/1.70 >>>> Starting back demodulation with 219. % 1.37/1.70 Following clause subsumed by 208 during input processing: 0 [copy,220,flip.1] astep(z,x(A,B))=par(C,D,astep(z,A),astep(z,B)). % 1.37/1.70 Following clause subsumed by 207 during input processing: 0 [copy,221,flip.1] astep(z,x(A,B))=par(C,B,astep(z,A),nothing). % 1.37/1.70 Following clause subsumed by 206 during input processing: 0 [copy,222,flip.1] astep(z,x(A,B))=par(A,C,nothing,astep(z,B)). % 1.37/1.70 Following clause subsumed by 204 during input processing: 0 [copy,223,flip.1] astep(A,B)=aux(C,A,astep(z,B)). % 1.37/1.70 % 1.37/1.70 ======= end of input processing ======= % 1.37/1.70 % 1.37/1.70 =========== start of search =========== % 1.37/1.70 % 1.37/1.70 % 1.37/1.70 Resetting weight limit to 10. % 1.37/1.70 % 1.37/1.70 % 1.37/1.70 Resetting weight limit to 10. % 1.37/1.70 % 1.37/1.70 sos_size=205 % 1.37/1.70 % 1.37/1.70 Search stopped because sos empty. % 1.37/1.70 % 1.37/1.70 % 1.37/1.70 Search stopped because sos empty. % 1.37/1.70 % 1.37/1.70 ============ end of search ============ % 1.37/1.70 % 1.37/1.70 -------------- statistics ------------- % 1.37/1.70 clauses given 388 % 1.37/1.70 clauses generated 6529 % 1.37/1.70 clauses kept 401 % 1.37/1.70 clauses forward subsumed 1216 % 1.37/1.70 clauses back subsumed 2 % 1.37/1.70 Kbytes malloced 6835 % 1.37/1.70 % 1.37/1.70 ----------- times (seconds) ----------- % 1.37/1.70 user CPU time 0.03 (0 hr, 0 min, 0 sec) % 1.37/1.70 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 1.37/1.70 wall-clock time 2 (0 hr, 0 min, 2 sec) % 1.37/1.70 % 1.37/1.70 Process 32133 finished Tue May 5 12:54:17 2026 % 1.37/1.70 Otter interrupted % 1.37/1.70 PROOF NOT FOUND %------------------------------------------------------------------------------