%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX241-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n021.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 07:05:29 PM UTC 2026 % Result : Unknown 2.14s 2.34s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWX241-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : otter-tptp-script %s % 0.15/0.33 % Computer : n021.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue May 5 13:26:10 EDT 2026 % 0.15/0.33 % CPUTime : % 2.06/2.29 ----- Otter 3.3f, August 2004 ----- % 2.06/2.29 The process was started by sandbox on n021.cluster.edu, % 2.06/2.29 Tue May 5 13:26:10 2026 % 2.06/2.29 The command was "./otter". The process ID is 15056. % 2.06/2.29 % 2.06/2.29 set(prolog_style_variables). % 2.06/2.29 set(auto). % 2.06/2.29 dependent: set(auto1). % 2.06/2.29 dependent: set(process_input). % 2.06/2.29 dependent: clear(print_kept). % 2.06/2.29 dependent: clear(print_new_demod). % 2.06/2.29 dependent: clear(print_back_demod). % 2.06/2.29 dependent: clear(print_back_sub). % 2.06/2.29 dependent: set(control_memory). % 2.06/2.29 dependent: assign(max_mem, 12000). % 2.06/2.29 dependent: assign(pick_given_ratio, 4). % 2.06/2.29 dependent: assign(stats_level, 1). % 2.06/2.29 dependent: assign(max_seconds, 10800). % 2.06/2.29 clear(print_given). % 2.06/2.29 % 2.06/2.29 list(usable). % 2.06/2.29 0 [] A=A. % 2.06/2.29 0 [] aux(X,Z,Ys,btrue)=del(X,Ys). % 2.06/2.29 0 [] aux(X,Z,Ys,bfalse)=cons(Z,del(X,Ys)). % 2.06/2.29 0 [] aux2(X,Z,E,btrue)=cons(Z,X). % 2.06/2.29 0 [] aux2(X,Z,E,bfalse)=del(Z,X). % 2.06/2.29 0 [] aux3(X,E2,R,Q2,btrue)=run(X,R). % 2.06/2.29 0 [] aux3(X,E2,R,Q2,bfalse)=run(X,Q2). % 2.06/2.29 0 [] orb(btrue,Q)=btrue. % 2.06/2.29 0 [] orb(bfalse,Q)=Q. % 2.06/2.29 0 [] secret(nand(A,B))=orb(secret(A),secret(B)). % 2.06/2.29 0 [] secret(var(high(Z)))=btrue. % 2.06/2.29 0 [] secret(var(low(X2)))=bfalse. % 2.06/2.29 0 [] secret(tT)=bfalse. % 2.06/2.29 0 [] secret(fF)=bfalse. % 2.06/2.29 0 [] notb(btrue)=bfalse. % 2.06/2.29 0 [] notb(bfalse)=btrue. % 2.06/2.29 0 [] l=low(zero). % 2.06/2.29 0 [] impl(btrue,Q)=Q. % 2.06/2.29 0 [] impl(bfalse,Q)=btrue. % 2.06/2.29 0 [] h=high(zero). % 2.06/2.29 0 [] elem(X,nil)=bfalse. % 2.06/2.29 0 [] elem(X,cons(Z,Xs))=orb(e_q2(Z,X),elem(X,Xs)). % 2.06/2.29 0 [] del(X,nil)=nil. % 2.06/2.29 0 [] del(X,cons(Z,Ys))=aux(X,Z,Ys,e_q2(X,Z)). % 2.06/2.29 0 [] andb(btrue,Q)=Q. % 2.06/2.29 0 [] andb(bfalse,Q)=bfalse. % 2.06/2.29 0 [] eval(X,nand(A,B))=notb(andb(eval(X,A),eval(X,B))). % 2.06/2.29 0 [] eval(X,tT)=btrue. % 2.06/2.29 0 [] eval(X,fF)=bfalse. % 2.06/2.29 0 [] eval(X,var(Z))=elem(Z,X). % 2.06/2.29 0 [] run(X,skip)=X. % 2.06/2.29 0 [] run(X,assign(Z,E))=aux2(X,Z,E,eval(X,E)). % 2.06/2.29 0 [] run(X,se_q(P,Q))=run(run(X,P),Q). % 2.06/2.29 0 [] run(X,ifThenElse(E2,R,Q2))=aux3(X,E2,R,Q2,eval(X,E2)). % 2.06/2.29 0 [] run(X,while(E3,P2))=run(X,ifThenElse(E3,se_q(P2,while(E3,P2)),skip)). % 2.06/2.29 0 [] typeCorrect(skip)=btrue. % 2.06/2.29 0 [] typeCorrect(assign(high(Z),E))=btrue. % 2.06/2.29 0 [] typeCorrect(assign(low(X2),E))=notb(secret(E)). % 2.06/2.29 0 [] typeCorrect(se_q(P,Q))=andb(typeCorrect(P),typeCorrect(Q)). % 2.06/2.29 0 [] typeCorrect(ifThenElse(C,R,Q2))=andb(typeCorrect(R),typeCorrect(Q2)). % 2.06/2.29 0 [] typeCorrect(while(E2,P2))=typeCorrect(P2). % 2.06/2.29 0 [] prop(X,Y)=impl(typeCorrect(X),e_q5(elem(l,run(Y,X)),elem(l,run(cons(h,Y),X)))). % 2.06/2.29 0 [] e_q3(tT,fF)=bfalse. % 2.06/2.29 0 [] e_q3(fF,tT)=bfalse. % 2.06/2.29 0 [] e_q5(bfalse,btrue)=bfalse. % 2.06/2.29 0 [] e_q5(btrue,bfalse)=bfalse. % 2.06/2.29 0 [] e_q3(X,Z)!=bfalse|e_q3(nand(X,Y),nand(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q3(X,Z)!=btrue|e_q3(nand(X,Y),nand(Z,X2))=e_q3(Y,X2). % 2.06/2.29 0 [] e_q3(var(X),var(Y))=e_q2(X,Y). % 2.06/2.29 0 [] e_q3(nand(X,Y),tT)=bfalse. % 2.06/2.29 0 [] e_q3(nand(X,Y),fF)=bfalse. % 2.06/2.29 0 [] e_q3(nand(X,Y),var(Z))=bfalse. % 2.06/2.29 0 [] e_q3(tT,nand(X,Y))=bfalse. % 2.06/2.29 0 [] e_q3(tT,var(X))=bfalse. % 2.06/2.29 0 [] e_q3(fF,nand(X,Y))=bfalse. % 2.06/2.29 0 [] e_q3(fF,var(X))=bfalse. % 2.06/2.29 0 [] e_q3(var(X),nand(Y,Z))=bfalse. % 2.06/2.29 0 [] e_q3(var(X),tT)=bfalse. % 2.06/2.29 0 [] e_q3(var(X),fF)=bfalse. % 2.06/2.29 0 [] e_q2(high(X),high(Y))=e_q(X,Y). % 2.06/2.29 0 [] e_q2(low(X),low(Y))=e_q(X,Y). % 2.06/2.29 0 [] e_q2(high(X),low(Y))=bfalse. % 2.06/2.29 0 [] e_q2(low(X),high(Y))=bfalse. % 2.06/2.29 0 [] e_q(suc(X),suc(Y))=e_q(X,Y). % 2.06/2.29 0 [] e_q(zero,suc(X))=bfalse. % 2.06/2.29 0 [] e_q(suc(X),zero)=bfalse. % 2.06/2.29 0 [] e_q2(X,Z)!=bfalse|e_q4(assign(X,Y),assign(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q2(X,Z)!=btrue|e_q4(assign(X,Y),assign(Z,X2))=e_q3(Y,X2). % 2.06/2.29 0 [] e_q4(X,Z)!=bfalse|e_q4(se_q(X,Y),se_q(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(X,Z)!=btrue|e_q4(se_q(X,Y),se_q(Z,X2))=e_q4(Y,X2). % 2.06/2.29 0 [] e_q3(X,X2)!=bfalse|e_q4(ifThenElse(X,Y,Z),ifThenElse(X2,X3,X4))=bfalse. % 2.06/2.29 0 [] e_q3(X,X2)!=btrue|e_q4(Y,X3)!=bfalse|e_q4(ifThenElse(X,Y,Z),ifThenElse(X2,X3,X4))=bfalse. % 2.06/2.29 0 [] e_q3(X,X2)!=btrue|e_q4(Y,X3)!=btrue|e_q4(ifThenElse(X,Y,Z),ifThenElse(X2,X3,X4))=e_q4(Z,X4). % 2.06/2.29 0 [] e_q3(X,Z)!=bfalse|e_q4(while(X,Y),while(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q3(X,Z)!=btrue|e_q4(while(X,Y),while(Z,X2))=e_q4(Y,X2). % 2.06/2.29 0 [] e_q4(skip,assign(X,Y))=bfalse. % 2.06/2.29 0 [] e_q4(skip,se_q(X,Y))=bfalse. % 2.06/2.29 0 [] e_q4(skip,ifThenElse(X,Y,Z))=bfalse. % 2.06/2.29 0 [] e_q4(skip,while(X,Y))=bfalse. % 2.06/2.29 0 [] e_q4(assign(X,Y),skip)=bfalse. % 2.06/2.29 0 [] e_q4(assign(X,Y),se_q(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(assign(X,Y),ifThenElse(Z,X2,X3))=bfalse. % 2.06/2.29 0 [] e_q4(assign(X,Y),while(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(se_q(X,Y),skip)=bfalse. % 2.06/2.29 0 [] e_q4(se_q(X,Y),assign(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(se_q(X,Y),ifThenElse(Z,X2,X3))=bfalse. % 2.06/2.29 0 [] e_q4(se_q(X,Y),while(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(ifThenElse(X,Y,Z),skip)=bfalse. % 2.06/2.29 0 [] e_q4(ifThenElse(X,Y,Z),assign(X2,X3))=bfalse. % 2.06/2.29 0 [] e_q4(ifThenElse(X,Y,Z),se_q(X2,X3))=bfalse. % 2.06/2.29 0 [] e_q4(ifThenElse(X,Y,Z),while(X2,X3))=bfalse. % 2.06/2.29 0 [] e_q4(while(X,Y),skip)=bfalse. % 2.06/2.29 0 [] e_q4(while(X,Y),assign(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(while(X,Y),se_q(Z,X2))=bfalse. % 2.06/2.29 0 [] e_q4(while(X,Y),ifThenElse(Z,X2,X3))=bfalse. % 2.06/2.29 0 [] e_q(X,X)=btrue. % 2.06/2.29 0 [] e_q2(X,X)=btrue. % 2.06/2.29 0 [] e_q3(X,X)=btrue. % 2.06/2.29 0 [] e_q4(X,X)=btrue. % 2.06/2.29 0 [] e_q5(X,X)=btrue. % 2.06/2.29 0 [] e_q5(prop(X,Y),bfalse)!=btrue. % 2.06/2.29 end_of_list. % 2.06/2.29 % 2.06/2.29 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3. % 2.06/2.29 % 2.06/2.29 This is a Horn set with equality. The strategy will be % 2.06/2.29 Knuth-Bendix and hyper_res, with positive clauses in % 2.06/2.29 sos and nonpositive clauses in usable. % 2.06/2.29 % 2.06/2.29 dependent: set(knuth_bendix). % 2.06/2.29 dependent: set(anl_eq). % 2.06/2.29 dependent: set(para_from). % 2.06/2.29 dependent: set(para_into). % 2.06/2.29 dependent: clear(para_from_right). % 2.06/2.29 dependent: clear(para_into_right). % 2.06/2.29 dependent: set(para_from_vars). % 2.06/2.29 dependent: set(eq_units_both_ways). % 2.06/2.29 dependent: set(dynamic_demod_all). % 2.06/2.29 dependent: set(dynamic_demod). % 2.06/2.29 dependent: set(order_eq). % 2.06/2.29 dependent: set(back_demod). % 2.06/2.29 dependent: set(lrpo). % 2.06/2.29 dependent: set(hyper_res). % 2.06/2.29 dependent: clear(order_hyper). % 2.06/2.29 % 2.06/2.29 ------------> process usable: % 2.06/2.29 ** KEPT (pick-wt=14): 1 [] e_q3(A,B)!=bfalse|e_q3(nand(A,C),nand(B,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=16): 2 [] e_q3(A,B)!=btrue|e_q3(nand(A,C),nand(B,D))=e_q3(C,D). % 2.06/2.29 ** KEPT (pick-wt=14): 3 [] e_q2(A,B)!=bfalse|e_q4(assign(A,C),assign(B,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=16): 4 [] e_q2(A,B)!=btrue|e_q4(assign(A,C),assign(B,D))=e_q3(C,D). % 2.06/2.29 ** KEPT (pick-wt=14): 5 [] e_q4(A,B)!=bfalse|e_q4(se_q(A,C),se_q(B,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=16): 6 [] e_q4(A,B)!=btrue|e_q4(se_q(A,C),se_q(B,D))=e_q4(C,D). % 2.06/2.29 ** KEPT (pick-wt=16): 7 [] e_q3(A,B)!=bfalse|e_q4(ifThenElse(A,C,D),ifThenElse(B,E,F))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=21): 8 [] e_q3(A,B)!=btrue|e_q4(C,D)!=bfalse|e_q4(ifThenElse(A,C,E),ifThenElse(B,D,F))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=23): 9 [] e_q3(A,B)!=btrue|e_q4(C,D)!=btrue|e_q4(ifThenElse(A,C,E),ifThenElse(B,D,F))=e_q4(E,F). % 2.06/2.29 ** KEPT (pick-wt=14): 10 [] e_q3(A,B)!=bfalse|e_q4(while(A,C),while(B,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=16): 11 [] e_q3(A,B)!=btrue|e_q4(while(A,C),while(B,D))=e_q4(C,D). % 2.06/2.29 ** KEPT (pick-wt=7): 12 [] e_q5(prop(A,B),bfalse)!=btrue. % 2.06/2.29 % 2.06/2.29 ------------> process sos: % 2.06/2.29 ** KEPT (pick-wt=3): 13 [] A=A. % 2.06/2.29 ** KEPT (pick-wt=9): 14 [] aux(A,B,C,btrue)=del(A,C). % 2.06/2.29 ** KEPT (pick-wt=11): 16 [copy,15,flip.1] cons(A,del(B,C))=aux(B,A,C,bfalse). % 2.06/2.29 ---> New Demodulator: 17 [new_demod,16] cons(A,del(B,C))=aux(B,A,C,bfalse). % 2.06/2.29 ** KEPT (pick-wt=9): 18 [] aux2(A,B,C,btrue)=cons(B,A). % 2.06/2.29 ** KEPT (pick-wt=9): 19 [] aux2(A,B,C,bfalse)=del(B,A). % 2.06/2.29 ** KEPT (pick-wt=10): 20 [] aux3(A,B,C,D,btrue)=run(A,C). % 2.06/2.29 ** KEPT (pick-wt=10): 21 [] aux3(A,B,C,D,bfalse)=run(A,D). % 2.06/2.29 ** KEPT (pick-wt=5): 22 [] orb(btrue,A)=btrue. % 2.06/2.29 ---> New Demodulator: 23 [new_demod,22] orb(btrue,A)=btrue. % 2.06/2.29 ** KEPT (pick-wt=5): 24 [] orb(bfalse,A)=A. % 2.06/2.29 ---> New Demodulator: 25 [new_demod,24] orb(bfalse,A)=A. % 2.06/2.29 ** KEPT (pick-wt=10): 26 [] secret(nand(A,B))=orb(secret(A),secret(B)). % 2.06/2.29 ---> New Demodulator: 27 [new_demod,26] secret(nand(A,B))=orb(secret(A),secret(B)). % 2.06/2.29 ** KEPT (pick-wt=6): 28 [] secret(var(high(A)))=btrue. % 2.06/2.29 ---> New Demodulator: 29 [new_demod,28] secret(var(high(A)))=btrue. % 2.06/2.29 ** KEPT (pick-wt=6): 30 [] secret(var(low(A)))=bfalse. % 2.06/2.29 ---> New Demodulator: 31 [new_demod,30] secret(var(low(A)))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=4): 32 [] secret(tT)=bfalse. % 2.06/2.29 ---> New Demodulator: 33 [new_demod,32] secret(tT)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=4): 34 [] secret(fF)=bfalse. % 2.06/2.29 ---> New Demodulator: 35 [new_demod,34] secret(fF)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=4): 36 [] notb(btrue)=bfalse. % 2.06/2.29 ---> New Demodulator: 37 [new_demod,36] notb(btrue)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=4): 38 [] notb(bfalse)=btrue. % 2.06/2.29 ---> New Demodulator: 39 [new_demod,38] notb(bfalse)=btrue. % 2.06/2.29 ** KEPT (pick-wt=4): 41 [copy,40,flip.1] low(zero)=l. % 2.06/2.29 ---> New Demodulator: 42 [new_demod,41] low(zero)=l. % 2.06/2.29 ** KEPT (pick-wt=5): 43 [] impl(btrue,A)=A. % 2.06/2.29 ---> New Demodulator: 44 [new_demod,43] impl(btrue,A)=A. % 2.06/2.29 ** KEPT (pick-wt=5): 45 [] impl(bfalse,A)=btrue. % 2.06/2.29 ---> New Demodulator: 46 [new_demod,45] impl(bfalse,A)=btrue. % 2.06/2.29 ** KEPT (pick-wt=4): 48 [copy,47,flip.1] high(zero)=h. % 2.06/2.29 ---> New Demodulator: 49 [new_demod,48] high(zero)=h. % 2.06/2.29 ** KEPT (pick-wt=5): 50 [] elem(A,nil)=bfalse. % 2.06/2.29 ---> New Demodulator: 51 [new_demod,50] elem(A,nil)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=13): 53 [copy,52,flip.1] orb(e_q2(A,B),elem(B,C))=elem(B,cons(A,C)). % 2.06/2.29 ---> New Demodulator: 54 [new_demod,53] orb(e_q2(A,B),elem(B,C))=elem(B,cons(A,C)). % 2.06/2.29 ** KEPT (pick-wt=5): 55 [] del(A,nil)=nil. % 2.06/2.29 ---> New Demodulator: 56 [new_demod,55] del(A,nil)=nil. % 2.06/2.29 ** KEPT (pick-wt=13): 57 [] del(A,cons(B,C))=aux(A,B,C,e_q2(A,B)). % 2.06/2.29 ** KEPT (pick-wt=5): 58 [] andb(btrue,A)=A. % 2.06/2.29 ---> New Demodulator: 59 [new_demod,58] andb(btrue,A)=A. % 2.06/2.29 ** KEPT (pick-wt=5): 60 [] andb(bfalse,A)=bfalse. % 2.06/2.29 ---> New Demodulator: 61 [new_demod,60] andb(bfalse,A)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=14): 63 [copy,62,flip.1] notb(andb(eval(A,B),eval(A,C)))=eval(A,nand(B,C)). % 2.06/2.29 ---> New Demodulator: 64 [new_demod,63] notb(andb(eval(A,B),eval(A,C)))=eval(A,nand(B,C)). % 2.06/2.29 ** KEPT (pick-wt=5): 65 [] eval(A,tT)=btrue. % 2.06/2.29 ---> New Demodulator: 66 [new_demod,65] eval(A,tT)=btrue. % 2.06/2.29 ** KEPT (pick-wt=5): 67 [] eval(A,fF)=bfalse. % 2.06/2.29 ---> New Demodulator: 68 [new_demod,67] eval(A,fF)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=8): 69 [] eval(A,var(B))=elem(B,A). % 2.06/2.29 ---> New Demodulator: 70 [new_demod,69] eval(A,var(B))=elem(B,A). % 2.06/2.29 ** KEPT (pick-wt=5): 71 [] run(A,skip)=A. % 2.06/2.29 ---> New Demodulator: 72 [new_demod,71] run(A,skip)=A. % 2.06/2.29 ** KEPT (pick-wt=13): 73 [] run(A,assign(B,C))=aux2(A,B,C,eval(A,C)). % 2.06/2.29 ---> New Demodulator: 74 [new_demod,73] run(A,assign(B,C))=aux2(A,B,C,eval(A,C)). % 2.06/2.29 ** KEPT (pick-wt=11): 75 [] run(A,se_q(B,C))=run(run(A,B),C). % 2.06/2.29 ** KEPT (pick-wt=15): 76 [] run(A,ifThenElse(B,C,D))=aux3(A,B,C,D,eval(A,B)). % 2.06/2.29 ---> New Demodulator: 77 [new_demod,76] run(A,ifThenElse(B,C,D))=aux3(A,B,C,D,eval(A,B)). % 2.06/2.29 ** KEPT (pick-wt=18): 79 [copy,78,demod,77] run(A,while(B,C))=aux3(A,B,se_q(C,while(B,C)),skip,eval(A,B)). % 2.06/2.29 ** KEPT (pick-wt=4): 80 [] typeCorrect(skip)=btrue. % 2.06/2.29 ---> New Demodulator: 81 [new_demod,80] typeCorrect(skip)=btrue. % 2.06/2.29 ** KEPT (pick-wt=7): 82 [] typeCorrect(assign(high(A),B))=btrue. % 2.06/2.29 ---> New Demodulator: 83 [new_demod,82] typeCorrect(assign(high(A),B))=btrue. % 2.06/2.29 ** KEPT (pick-wt=9): 84 [] typeCorrect(assign(low(A),B))=notb(secret(B)). % 2.06/2.29 ---> New Demodulator: 85 [new_demod,84] typeCorrect(assign(low(A),B))=notb(secret(B)). % 2.06/2.29 ** KEPT (pick-wt=10): 86 [] typeCorrect(se_q(A,B))=andb(typeCorrect(A),typeCorrect(B)). % 2.06/2.29 ---> New Demodulator: 87 [new_demod,86] typeCorrect(se_q(A,B))=andb(typeCorrect(A),typeCorrect(B)). % 2.06/2.29 ** KEPT (pick-wt=11): 88 [] typeCorrect(ifThenElse(A,B,C))=andb(typeCorrect(B),typeCorrect(C)). % 2.06/2.29 ---> New Demodulator: 89 [new_demod,88] typeCorrect(ifThenElse(A,B,C))=andb(typeCorrect(B),typeCorrect(C)). % 2.06/2.29 ** KEPT (pick-wt=7): 90 [] typeCorrect(while(A,B))=typeCorrect(B). % 2.06/2.29 ---> New Demodulator: 91 [new_demod,90] typeCorrect(while(A,B))=typeCorrect(B). % 2.06/2.29 ** KEPT (pick-wt=20): 93 [copy,92,flip.1] impl(typeCorrect(A),e_q5(elem(l,run(B,A)),elem(l,run(cons(h,B),A))))=prop(A,B). % 2.06/2.29 ---> New Demodulator: 94 [new_demod,93] impl(typeCorrect(A),e_q5(elem(l,run(B,A)),elem(l,run(cons(h,B),A))))=prop(A,B). % 2.06/2.29 ** KEPT (pick-wt=5): 95 [] e_q3(tT,fF)=bfalse. % 2.06/2.29 ---> New Demodulator: 96 [new_demod,95] e_q3(tT,fF)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=5): 97 [] e_q3(fF,tT)=bfalse. % 2.06/2.29 ---> New Demodulator: 98 [new_demod,97] e_q3(fF,tT)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=5): 99 [] e_q5(bfalse,btrue)=bfalse. % 2.06/2.29 ---> New Demodulator: 100 [new_demod,99] e_q5(bfalse,btrue)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=5): 101 [] e_q5(btrue,bfalse)=bfalse. % 2.06/2.29 ---> New Demodulator: 102 [new_demod,101] e_q5(btrue,bfalse)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 103 [] e_q3(var(A),var(B))=e_q2(A,B). % 2.06/2.29 ---> New Demodulator: 104 [new_demod,103] e_q3(var(A),var(B))=e_q2(A,B). % 2.06/2.29 ** KEPT (pick-wt=7): 105 [] e_q3(nand(A,B),tT)=bfalse. % 2.06/2.29 ---> New Demodulator: 106 [new_demod,105] e_q3(nand(A,B),tT)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 107 [] e_q3(nand(A,B),fF)=bfalse. % 2.06/2.29 ---> New Demodulator: 108 [new_demod,107] e_q3(nand(A,B),fF)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=8): 109 [] e_q3(nand(A,B),var(C))=bfalse. % 2.06/2.29 ---> New Demodulator: 110 [new_demod,109] e_q3(nand(A,B),var(C))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 111 [] e_q3(tT,nand(A,B))=bfalse. % 2.06/2.29 ---> New Demodulator: 112 [new_demod,111] e_q3(tT,nand(A,B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=6): 113 [] e_q3(tT,var(A))=bfalse. % 2.06/2.29 ---> New Demodulator: 114 [new_demod,113] e_q3(tT,var(A))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 115 [] e_q3(fF,nand(A,B))=bfalse. % 2.06/2.29 ---> New Demodulator: 116 [new_demod,115] e_q3(fF,nand(A,B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=6): 117 [] e_q3(fF,var(A))=bfalse. % 2.06/2.29 ---> New Demodulator: 118 [new_demod,117] e_q3(fF,var(A))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=8): 119 [] e_q3(var(A),nand(B,C))=bfalse. % 2.06/2.29 ---> New Demodulator: 120 [new_demod,119] e_q3(var(A),nand(B,C))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=6): 121 [] e_q3(var(A),tT)=bfalse. % 2.06/2.29 ---> New Demodulator: 122 [new_demod,121] e_q3(var(A),tT)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=6): 123 [] e_q3(var(A),fF)=bfalse. % 2.06/2.29 ---> New Demodulator: 124 [new_demod,123] e_q3(var(A),fF)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 125 [] e_q2(high(A),high(B))=e_q(A,B). % 2.06/2.29 ---> New Demodulator: 126 [new_demod,125] e_q2(high(A),high(B))=e_q(A,B). % 2.06/2.29 ** KEPT (pick-wt=9): 127 [] e_q2(low(A),low(B))=e_q(A,B). % 2.06/2.29 ---> New Demodulator: 128 [new_demod,127] e_q2(low(A),low(B))=e_q(A,B). % 2.06/2.29 ** KEPT (pick-wt=7): 129 [] e_q2(high(A),low(B))=bfalse. % 2.06/2.29 ---> New Demodulator: 130 [new_demod,129] e_q2(high(A),low(B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 131 [] e_q2(low(A),high(B))=bfalse. % 2.06/2.29 ---> New Demodulator: 132 [new_demod,131] e_q2(low(A),high(B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 133 [] e_q(suc(A),suc(B))=e_q(A,B). % 2.06/2.29 ---> New Demodulator: 134 [new_demod,133] e_q(suc(A),suc(B))=e_q(A,B). % 2.06/2.29 ** KEPT (pick-wt=6): 135 [] e_q(zero,suc(A))=bfalse. % 2.06/2.29 ---> New Demodulator: 136 [new_demod,135] e_q(zero,suc(A))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=6): 137 [] e_q(suc(A),zero)=bfalse. % 2.06/2.29 ---> New Demodulator: 138 [new_demod,137] e_q(suc(A),zero)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 139 [] e_q4(skip,assign(A,B))=bfalse. % 2.06/2.29 ---> New Demodulator: 140 [new_demod,139] e_q4(skip,assign(A,B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 141 [] e_q4(skip,se_q(A,B))=bfalse. % 2.06/2.29 ---> New Demodulator: 142 [new_demod,141] e_q4(skip,se_q(A,B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=8): 143 [] e_q4(skip,ifThenElse(A,B,C))=bfalse. % 2.06/2.29 ---> New Demodulator: 144 [new_demod,143] e_q4(skip,ifThenElse(A,B,C))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 145 [] e_q4(skip,while(A,B))=bfalse. % 2.06/2.29 ---> New Demodulator: 146 [new_demod,145] e_q4(skip,while(A,B))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 147 [] e_q4(assign(A,B),skip)=bfalse. % 2.06/2.29 ---> New Demodulator: 148 [new_demod,147] e_q4(assign(A,B),skip)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 149 [] e_q4(assign(A,B),se_q(C,D))=bfalse. % 2.06/2.29 ---> New Demodulator: 150 [new_demod,149] e_q4(assign(A,B),se_q(C,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=10): 151 [] e_q4(assign(A,B),ifThenElse(C,D,E))=bfalse. % 2.06/2.29 ---> New Demodulator: 152 [new_demod,151] e_q4(assign(A,B),ifThenElse(C,D,E))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 153 [] e_q4(assign(A,B),while(C,D))=bfalse. % 2.06/2.29 ---> New Demodulator: 154 [new_demod,153] e_q4(assign(A,B),while(C,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 155 [] e_q4(se_q(A,B),skip)=bfalse. % 2.06/2.29 ---> New Demodulator: 156 [new_demod,155] e_q4(se_q(A,B),skip)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 157 [] e_q4(se_q(A,B),assign(C,D))=bfalse. % 2.06/2.29 ---> New Demodulator: 158 [new_demod,157] e_q4(se_q(A,B),assign(C,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=10): 159 [] e_q4(se_q(A,B),ifThenElse(C,D,E))=bfalse. % 2.06/2.29 ---> New Demodulator: 160 [new_demod,159] e_q4(se_q(A,B),ifThenElse(C,D,E))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 161 [] e_q4(se_q(A,B),while(C,D))=bfalse. % 2.06/2.29 ---> New Demodulator: 162 [new_demod,161] e_q4(se_q(A,B),while(C,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=8): 163 [] e_q4(ifThenElse(A,B,C),skip)=bfalse. % 2.06/2.29 ---> New Demodulator: 164 [new_demod,163] e_q4(ifThenElse(A,B,C),skip)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=10): 165 [] e_q4(ifThenElse(A,B,C),assign(D,E))=bfalse. % 2.06/2.29 ---> New Demodulator: 166 [new_demod,165] e_q4(ifThenElse(A,B,C),assign(D,E))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=10): 167 [] e_q4(ifThenElse(A,B,C),se_q(D,E))=bfalse. % 2.06/2.29 ---> New Demodulator: 168 [new_demod,167] e_q4(ifThenElse(A,B,C),se_q(D,E))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=10): 169 [] e_q4(ifThenElse(A,B,C),while(D,E))=bfalse. % 2.06/2.29 ---> New Demodulator: 170 [new_demod,169] e_q4(ifThenElse(A,B,C),while(D,E))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=7): 171 [] e_q4(while(A,B),skip)=bfalse. % 2.06/2.29 ---> New Demodulator: 172 [new_demod,171] e_q4(while(A,B),skip)=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 173 [] e_q4(while(A,B),assign(C,D))=bfalse. % 2.06/2.29 ---> New Demodulator: 174 [new_demod,173] e_q4(while(A,B),assign(C,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=9): 175 [] e_q4(while(A,B),se_q(C,D))=bfalse. % 2.06/2.29 ---> New Demodulator: 176 [new_demod,175] e_q4(while(A,B),se_q(C,D))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=10): 177 [] e_q4(while(A,B),ifThenElse(C,D,E))=bfalse. % 2.06/2.29 ---> New Demodulator: 178 [new_demod,177] e_q4(while(A,B),ifThenElse(C,D,E))=bfalse. % 2.06/2.29 ** KEPT (pick-wt=5): 179 [] e_q(A,A)=btrue. % 2.06/2.29 ---> New Demodulator: 180 [new_demod,179] e_q(A,A)=btrue. % 2.06/2.29 ** KEPT (pick-wt=5): 181 [] e_q2(A,A)=btrue. % 2.06/2.29 ---> New Demodulator: 182 [new_demod,181] e_q2(A,A)=btrue. % 2.06/2.29 ** KEPT (pick-wt=5): 183 [] e_q3(A,A)=btrue. % 2.06/2.29 ---> New Demodulator: 184 [new_demod,183] e_q3(A,A)=btrue. % 2.06/2.29 ** KEPT (pick-wt=5): 185 [] e_q4(A,A)=btrue. % 2.06/2.29 ---> New Demodulator: 186 [new_demod,185] e_q4(A,A)=btrue. % 2.06/2.29 ** KEPT (pick-wt=5): 187 [] e_q5(A,A)=btrue. % 2.06/2.29 ---> New Demodulator: 188 [new_demod,187] e_q5(A,A)=btrue. % 2.06/2.29 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A. % 2.06/2.29 ** KEPT (pick-wt=9): 189 [copy,14,flip.1] del(A,B)=aux(A,C,B,btrue). % 2.06/2.29 >>>> Starting back demodulation with 17. % 2.06/2.29 ** KEPT (pick-wt=9): 190 [copy,18,flip.1] cons(A,B)=aux2(B,A,C,btrue). % 2.06/2.29 ** KEPT (pick-wt=9): 191 [copy,19,flip.1] del(A,B)=aux2(B,A,C,bfalse). % 2.06/2.29 ** KEPT (pick-wt=10): 192 [copy,20,flip.1] run(A,B)=aux3(A,C,B,D,btrue). % 2.06/2.29 ** KEPT (pick-wt=10): 193 [copy,21,flip.1] run(A,B)=aux3(A,C,D,B,bfalse). % 2.06/2.29 >>>> Starting back demodulation with 23. % 2.06/2.29 >>>> Starting back demodulation with 25. % 2.06/2.29 >>>> Starting back demodulation with 27. % 2.06/2.29 >>>> Starting back demodulation with 29. % 2.06/2.29 >>>> Starting back demodulation with 31. % 2.06/2.29 >>>> Starting back demodulation with 33. % 2.06/2.29 >>>> Starting back demodulation with 35. % 2.06/2.29 >>>> Starting back demodulation with 37. % 2.06/2.29 >>>> Starting back demodulation with 39. % 2.06/2.29 >>>> Starting back demodulation with 42. % 2.06/2.29 >>>> Starting back demodulation with 44. % 2.06/2.29 >>>> Starting back demodulation with 46. % 2.06/2.29 >>>> Starting back demodulation with 49. % 2.06/2.29 >>>> Starting back demodulation with 51. % 2.06/2.29 >>>> Starting back demodulation with 54. % 2.06/2.29 >>>> Starting back demodulation with 56. % 2.06/2.29 ** KEPT (pick-wt=13): 194 [copy,57,flip.1] aux(A,B,C,e_q2(A,B))=del(A,cons(B,C)). % 2.06/2.29 >>>> Starting back demodulation with 59. % 2.06/2.29 >>>> Starting back demodulation with 61. % 2.06/2.29 >>>> Starting back demodulation with 64. % 2.06/2.29 >>>> Starting back demodulation with 66. % 2.06/2.29 >>>> Starting back demodulation with 68. % 2.06/2.29 >>>> Starting back demodulation with 70. % 2.06/2.29 >>>> Starting back demodulation with 72. % 2.06/2.29 >>>> Starting back demodulation with 74. % 2.06/2.29 ** KEPT (pick-wt=11): 195 [copy,75,flip.1] run(run(A,B),C)=run(A,se_q(B,C)). % 2.06/2.29 >>>> Starting back demodulation with 77. % 2.06/2.29 ** KEPT (pick-wt=18): 196 [copy,79,flip.1] aux3(A,B,se_q(C,while(B,C)),skip,eval(A,B))=run(A,while(B,C)). % 2.06/2.29 >>>> Starting back demodulation with 81. % 2.06/2.29 >>>> Starting back demodulation with 83. % 2.06/2.29 >>>> Starting back demodulation with 85. % 2.06/2.29 >>>> Starting back demodulation with 87. % 2.06/2.29 >>>> Starting back demodulation with 89. % 2.06/2.29 >>>> Starting back demodulation with 91. % 2.06/2.29 >>>> Starting back demodulation with 94. % 2.06/2.29 >>>> Starting back demodulation with 96. % 2.06/2.29 >>>> Starting back demodulation with 98. % 2.06/2.29 >>>> Starting back demodulation with 100. % 2.06/2.29 >>>> Starting back demodulation with 102. % 2.06/2.29 >>>> Starting back demodulation with 104. % 2.06/2.29 >>>> Starting back demodulation with 106. % 2.06/2.29 >>>> Starting back demodulation with 108. % 2.06/2.29 >>>> Starting back demodulation with 110. % 2.06/2.29 >>>> Starting back demodulation with 112. % 2.06/2.29 >>>> Starting back demodulation with 114. % 2.06/2.29 >>>> Starting back demodulation with 116. % 2.06/2.29 >>>> Starting back demodulation with 118. % 2.06/2.29 >>>> Starting back demodulation with 120. % 2.06/2.29 >>>> Starting back demodulation with 122. % 2.06/2.29 >>>> Starting back demodulation with 124. % 2.06/2.29 >>>> Starting back demodulation with 126. % 2.06/2.29 >>>> Starting back demodulation with 128. % 2.06/2.29 >>>> Starting back demodulation with 130. % 2.06/2.29 >>>> Starting back demodulation with 132. % 2.06/2.29 >>>> Starting back demodulation with 134. % 2.06/2.29 >>>> Starting back demodulation with 136. % 2.06/2.29 >>>> Starting back demodulation with 138. % 2.06/2.29 >>>> Starting back demodulation with 140. % 2.06/2.29 >>>> Starting back demodulation with 142. % 2.14/2.34 >>>> Starting back demodulation with 144. % 2.14/2.34 >>>> Starting back demodulation with 146. % 2.14/2.34 >>>> Starting back demodulation with 148. % 2.14/2.34 >>>> Starting back demodulation with 150. % 2.14/2.34 >>>> Starting back demodulation with 152. % 2.14/2.34 >>>> Starting back demodulation with 154. % 2.14/2.34 >>>> Starting back demodulation with 156. % 2.14/2.34 >>>> Starting back demodulation with 158. % 2.14/2.34 >>>> Starting back demodulation with 160. % 2.14/2.34 >>>> Starting back demodulation with 162. % 2.14/2.34 >>>> Starting back demodulation with 164. % 2.14/2.34 >>>> Starting back demodulation with 166. % 2.14/2.34 >>>> Starting back demodulation with 168. % 2.14/2.34 >>>> Starting back demodulation with 170. % 2.14/2.34 >>>> Starting back demodulation with 172. % 2.14/2.34 >>>> Starting back demodulation with 174. % 2.14/2.34 >>>> Starting back demodulation with 176. % 2.14/2.34 >>>> Starting back demodulation with 178. % 2.14/2.34 >>>> Starting back demodulation with 180. % 2.14/2.34 >>>> Starting back demodulation with 182. % 2.14/2.34 >>>> Starting back demodulation with 184. % 2.14/2.34 >>>> Starting back demodulation with 186. % 2.14/2.34 >>>> Starting back demodulation with 188. % 2.14/2.34 Following clause subsumed by 14 during input processing: 0 [copy,189,flip.1] aux(A,B,C,btrue)=del(A,C). % 2.14/2.34 Following clause subsumed by 18 during input processing: 0 [copy,190,flip.1] aux2(A,B,C,btrue)=cons(B,A). % 2.14/2.34 Following clause subsumed by 19 during input processing: 0 [copy,191,flip.1] aux2(A,B,C,bfalse)=del(B,A). % 2.14/2.34 Following clause subsumed by 20 during input processing: 0 [copy,192,flip.1] aux3(A,B,C,D,btrue)=run(A,C). % 2.14/2.34 Following clause subsumed by 21 during input processing: 0 [copy,193,flip.1] aux3(A,B,C,D,bfalse)=run(A,D). % 2.14/2.34 Following clause subsumed by 57 during input processing: 0 [copy,194,flip.1] del(A,cons(B,C))=aux(A,B,C,e_q2(A,B)). % 2.14/2.34 Following clause subsumed by 75 during input processing: 0 [copy,195,flip.1] run(A,se_q(B,C))=run(run(A,B),C). % 2.14/2.34 Following clause subsumed by 79 during input processing: 0 [copy,196,flip.1] run(A,while(B,C))=aux3(A,B,se_q(C,while(B,C)),skip,eval(A,B)). % 2.14/2.34 % 2.14/2.34 ======= end of input processing ======= % 2.14/2.34 % 2.14/2.34 =========== start of search =========== % 2.14/2.34 % 2.14/2.34 % 2.14/2.34 Resetting weight limit to 9. % 2.14/2.34 % 2.14/2.34 % 2.14/2.34 Resetting weight limit to 9. % 2.14/2.34 % 2.14/2.34 sos_size=177 % 2.14/2.34 % 2.14/2.34 % 2.14/2.34 Resetting weight limit to 8. % 2.14/2.34 % 2.14/2.34 % 2.14/2.34 Resetting weight limit to 8. % 2.14/2.34 % 2.14/2.34 sos_size=15 % 2.14/2.34 % 2.14/2.34 Search stopped because sos empty. % 2.14/2.34 % 2.14/2.34 % 2.14/2.34 Search stopped because sos empty. % 2.14/2.34 % 2.14/2.34 ============ end of search ============ % 2.14/2.34 % 2.14/2.34 -------------- statistics ------------- % 2.14/2.34 clauses given 292 % 2.14/2.34 clauses generated 4772 % 2.14/2.34 clauses kept 319 % 2.14/2.34 clauses forward subsumed 1016 % 2.14/2.34 clauses back subsumed 19 % 2.14/2.34 Kbytes malloced 7812 % 2.14/2.34 % 2.14/2.34 ----------- times (seconds) ----------- % 2.14/2.34 user CPU time 0.06 (0 hr, 0 min, 0 sec) % 2.14/2.34 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 2.14/2.34 wall-clock time 2 (0 hr, 0 min, 2 sec) % 2.14/2.34 % 2.14/2.34 Process 15056 finished Tue May 5 13:26:12 2026 % 2.14/2.34 Otter interrupted % 2.14/2.34 PROOF NOT FOUND %------------------------------------------------------------------------------