%------------------------------------------------------------------------------ % File : EQP---0.9e % Problem : SWX237-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_eqp %s % Computer : n018.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 07:00:13 PM UTC 2026 % Result : Unknown 20.92s 21.34s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWX237-1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.12 % Command : tptp2X_and_run_eqp %s % 0.16/0.33 % Computer : n018.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue May 5 13:14:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.69/1.10 ----- EQP 0.9e, May 2009 ----- % 0.69/1.10 The job began on n018.cluster.edu, Tue May 5 13:14:32 2026 % 0.69/1.10 The command was "./eqp09e". % 0.69/1.10 % 0.69/1.10 set(prolog_style_variables). % 0.69/1.10 set(lrpo). % 0.69/1.10 set(basic_paramod). % 0.69/1.10 set(functional_subsume). % 0.69/1.10 set(ordered_paramod). % 0.69/1.10 set(prime_paramod). % 0.69/1.10 set(para_pairs). % 0.69/1.10 assign(pick_given_ratio,4). % 0.69/1.10 clear(print_kept). % 0.69/1.10 clear(print_new_demod). % 0.69/1.10 clear(print_back_demod). % 0.69/1.10 clear(print_given). % 0.69/1.10 assign(max_mem,64000). % 0.69/1.10 end_of_commands. % 0.69/1.10 % 0.69/1.10 Usable: % 0.69/1.10 end_of_list. % 0.69/1.10 % 0.69/1.10 Sos: % 0.69/1.10 0 (wt=-1) [] aux(A,B,btrue) = eps. % 0.69/1.10 0 (wt=-1) [] aux(A,B,bfalse) = nil4. % 0.69/1.10 0 (wt=-1) [] aux2(A,B,C,btrue) = x(y(step(B,A),C),step(C,A)). % 0.69/1.10 0 (wt=-1) [] aux2(A,B,C,bfalse) = x(y(step(B,A),C),nil4). % 0.69/1.10 0 (wt=-1) [] aux3(A,B,C,btrue) = rec(y(A,star(A)),cons2(B,C)). % 0.69/1.10 0 (wt=-1) [] aux3(A,B,C,bfalse) = bfalse. % 0.69/1.10 0 (wt=-1) [] z(nil4,A) = nil4. % 0.69/1.10 0 (wt=-1) [] z(eps,A) = A. % 0.69/1.10 0 (wt=-1) [] z(atom(A),nil4) = nil4. % 0.69/1.10 0 (wt=-1) [] z(atom(A),eps) = atom(A). % 0.69/1.10 0 (wt=-1) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.69/1.10 0 (wt=-1) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.69/1.10 0 (wt=-1) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.69/1.10 0 (wt=-1) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.69/1.10 0 (wt=-1) [] z(x(A,B),nil4) = nil4. % 0.69/1.10 0 (wt=-1) [] z(x(A,B),eps) = x(A,B). % 0.69/1.10 0 (wt=-1) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.69/1.10 0 (wt=-1) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.69/1.10 0 (wt=-1) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.69/1.10 0 (wt=-1) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.69/1.10 0 (wt=-1) [] z(y(A,B),nil4) = nil4. % 0.69/1.10 0 (wt=-1) [] z(y(A,B),eps) = y(A,B). % 0.69/1.10 0 (wt=-1) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.69/1.10 0 (wt=-1) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.69/1.10 0 (wt=-1) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.69/1.10 0 (wt=-1) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.69/1.10 0 (wt=-1) [] z(star(A),nil4) = nil4. % 0.69/1.10 0 (wt=-1) [] z(star(A),eps) = star(A). % 0.69/1.10 0 (wt=-1) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.69/1.10 0 (wt=-1) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.69/1.10 0 (wt=-1) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.69/1.10 0 (wt=-1) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.69/1.10 0 (wt=-1) [] x2(nil4,A) = A. % 0.69/1.10 0 (wt=-1) [] x2(eps,nil4) = eps. % 0.69/1.10 0 (wt=-1) [] x2(eps,eps) = x(eps,eps). % 0.69/1.10 0 (wt=-1) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.69/1.10 0 (wt=-1) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.69/1.10 0 (wt=-1) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.69/1.10 0 (wt=-1) [] x2(eps,star(A)) = x(eps,star(A)). % 0.69/1.10 0 (wt=-1) [] x2(atom(A),nil4) = atom(A). % 0.69/1.10 0 (wt=-1) [] x2(atom(A),eps) = x(atom(A),eps). % 0.69/1.10 0 (wt=-1) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.69/1.10 0 (wt=-1) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.69/1.10 0 (wt=-1) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.69/1.10 0 (wt=-1) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.69/1.10 0 (wt=-1) [] x2(x(A,B),nil4) = x(A,B). % 0.69/1.10 0 (wt=-1) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.69/1.10 0 (wt=-1) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.69/1.10 0 (wt=-1) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.69/1.10 0 (wt=-1) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.69/1.10 0 (wt=-1) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.69/1.10 0 (wt=-1) [] x2(y(A,B),nil4) = y(A,B). % 0.69/1.10 0 (wt=-1) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.69/1.10 0 (wt=-1) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.69/1.10 0 (wt=-1) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.69/1.10 0 (wt=-1) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.69/1.10 0 (wt=-1) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.69/1.10 0 (wt=-1) [] x2(star(A),nil4) = star(A). % 0.69/1.10 0 (wt=-1) [] x2(star(A),eps) = x(star(A),eps). % 0.69/1.10 0 (wt=-1) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.69/1.10 0 (wt=-1) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.69/1.10 0 (wt=-1) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.69/1.10 0 (wt=-1) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.69/1.10 0 (wt=-1) [] splits(A,nil) = nil. % 0.69/1.10 0 (wt=-1) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 0.69/1.10 0 (wt=-1) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 0.69/1.10 0 (wt=-1) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 0.69/1.10 0 (wt=-1) [] orb(btrue,A) = btrue. % 0.69/1.10 0 (wt=-1) [] orb(bfalse,A) = A. % 0.69/1.10 0 (wt=-1) [] or2(nil3) = bfalse. % 0.69/1.10 0 (wt=-1) [] or2(cons3(A,B)) = orb(A,or2(B)). % 0.69/1.10 0 (wt=-1) [] notb(btrue) = bfalse. % 0.69/1.10 0 (wt=-1) [] notb(bfalse) = btrue. % 0.69/1.10 0 (wt=-1) [] andb(btrue,A) = A. % 0.69/1.10 0 (wt=-1) [] andb(bfalse,A) = bfalse. % 0.69/1.10 0 (wt=-1) [] eps2(eps) = btrue. % 0.69/1.10 0 (wt=-1) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)). % 0.69/1.10 0 (wt=-1) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)). % 0.69/1.10 0 (wt=-1) [] eps2(star(A)) = btrue. % 0.69/1.10 0 (wt=-1) [] eps2(nil4) = bfalse. % 0.69/1.10 0 (wt=-1) [] eps2(atom(A)) = bfalse. % 0.69/1.10 0 (wt=-1) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.69/1.10 0 (wt=-1) [] step(x(A,B),C) = x(step(A,C),step(B,C)). % 0.69/1.10 0 (wt=-1) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)). % 0.69/1.10 0 (wt=-1) [] step(star(A),B) = y(step(A,B),star(A)). % 0.69/1.10 0 (wt=-1) [] step(nil4,A) = nil4. % 0.69/1.10 0 (wt=-1) [] step(eps,A) = nil4. % 0.69/1.10 0 (wt=-1) [] rec(A,nil2) = eps2(A). % 0.69/1.10 0 (wt=-1) [] rec(A,cons2(B,C)) = rec(step(A,B),C). % 0.69/1.10 0 (wt=-1) [] reck(A,B,nil) = nil3. % 0.69/1.10 0 (wt=-1) [] reck(A,B,cons(pair2(C,D),E)) = cons3(andb(reck2(A,C),rec(B,D)),reck(A,B,E)). % 0.69/1.10 0 (wt=-1) [] reck2(nil4,A) = bfalse. % 0.69/1.10 0 (wt=-1) [] reck2(eps,nil2) = btrue. % 0.69/1.10 0 (wt=-1) [] reck2(eps,cons2(A,B)) = bfalse. % 0.69/1.10 0 (wt=-1) [] reck2(atom(A),nil2) = bfalse. % 0.69/1.10 0 (wt=-1) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 0.69/1.10 0 (wt=-1) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 0.69/1.10 0 (wt=-1) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 0.69/1.10 0 (wt=-1) [] reck2(y(A,B),C) = or2(reck(A,B,splits2(C))). % 0.69/1.10 0 (wt=-1) [] reck2(star(A),nil2) = btrue. % 0.69/1.10 0 (wt=-1) [] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(eps2(A))). % 0.69/1.10 0 (wt=-1) [] prop_kfind4(A) = notb(reck2(A,cons2(a,cons2(b,cons2(b,cons2(a,nil2)))))). % 0.69/1.10 0 (wt=-1) [] eq(a,b) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq(a,c) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq(b,a) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq(b,c) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq(c,a) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq(c,b) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq2(bfalse,btrue) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq2(btrue,bfalse) = bfalse. % 0.69/1.10 0 (wt=-1) [] eq(A,A) = btrue. % 0.69/1.10 0 (wt=-1) [] eq2(A,A) = btrue. % 0.69/1.10 0 (wt=-1) [] -(eq2(prop_kfind4(A),bfalse) = btrue). % 0.69/1.10 end_of_list. % 0.69/1.10 % 0.69/1.10 Demodulators: % 0.69/1.10 end_of_list. % 0.69/1.10 % 0.69/1.10 Passive: % 0.69/1.10 end_of_list. % 0.69/1.10 % 0.69/1.10 Starting to process input. % 0.69/1.10 % 0.69/1.10 ** KEPT: 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.69/1.10 1 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 2 (wt=6) [] aux(A,B,bfalse) = nil4. % 0.69/1.10 2 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.69/1.10 3 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil4) = aux2(B,A,C,bfalse). % 0.69/1.10 4 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 5 (wt=14) [flip(1)] rec(y(A,star(A)),cons2(B,C)) = aux3(A,B,C,btrue). % 0.69/1.10 5 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 6 (wt=7) [] aux3(A,B,C,bfalse) = bfalse. % 0.69/1.10 6 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 7 (wt=5) [] z(nil4,A) = nil4. % 0.69/1.10 7 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 8 (wt=5) [] z(eps,A) = A. % 0.69/1.10 8 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 9 (wt=6) [] z(atom(A),nil4) = nil4. % 0.69/1.10 9 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 10 (wt=7) [] z(atom(A),eps) = atom(A). % 0.69/1.10 10 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 11 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.69/1.10 11 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 12 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.69/1.10 12 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 13 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.69/1.10 13 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 14 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.69/1.10 14 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 15 (wt=7) [] z(x(A,B),nil4) = nil4. % 0.69/1.10 15 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 16 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.69/1.10 16 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 17 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.69/1.10 17 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 18 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.69/1.10 18 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 19 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.69/1.10 19 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 20 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.69/1.10 20 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 21 (wt=7) [] z(y(A,B),nil4) = nil4. % 0.69/1.10 21 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 22 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.69/1.10 22 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 23 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.69/1.10 23 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 24 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.69/1.10 24 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 25 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.69/1.10 25 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 26 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.69/1.10 26 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 27 (wt=6) [] z(star(A),nil4) = nil4. % 0.69/1.10 27 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 28 (wt=7) [] z(star(A),eps) = star(A). % 0.69/1.10 28 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 29 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.69/1.10 29 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 30 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.69/1.10 30 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 31 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.69/1.10 31 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 32 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.69/1.10 32 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 33 (wt=5) [] x2(nil4,A) = A. % 0.69/1.10 33 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 34 (wt=5) [] x2(eps,nil4) = eps. % 0.69/1.10 34 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 35 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.69/1.10 35 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 36 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.69/1.10 36 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 37 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.69/1.10 37 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 38 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.69/1.10 38 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 39 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.69/1.10 39 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 40 (wt=7) [] x2(atom(A),nil4) = atom(A). % 0.69/1.10 40 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 41 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.69/1.10 41 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 42 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.69/1.10 42 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 43 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.69/1.10 43 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 44 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.69/1.10 44 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 45 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.69/1.10 45 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 46 (wt=9) [] x2(x(A,B),nil4) = x(A,B). % 0.69/1.10 46 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 47 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.69/1.10 47 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 48 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.69/1.10 48 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 49 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.69/1.10 49 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 50 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.69/1.10 50 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 51 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.69/1.10 51 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 52 (wt=9) [] x2(y(A,B),nil4) = y(A,B). % 0.69/1.10 52 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 53 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.69/1.10 53 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 54 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.69/1.10 54 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 55 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.69/1.10 55 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 56 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.69/1.10 56 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 57 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.69/1.10 57 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 58 (wt=7) [] x2(star(A),nil4) = star(A). % 0.69/1.10 58 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 59 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 0.69/1.10 59 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 60 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.69/1.10 60 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 61 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.69/1.10 61 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 62 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.69/1.10 62 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 63 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.69/1.10 63 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 64 (wt=5) [] splits(A,nil) = nil. % 0.69/1.10 64 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 65 (wt=17) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 0.69/1.10 65 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 66 (wt=8) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 0.69/1.10 66 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 67 (wt=15) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 0.69/1.10 67 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 68 (wt=5) [] orb(btrue,A) = btrue. % 0.69/1.10 68 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 69 (wt=5) [] orb(bfalse,A) = A. % 0.69/1.10 69 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 70 (wt=4) [] or2(nil3) = bfalse. % 0.69/1.10 70 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 71 (wt=9) [] or2(cons3(A,B)) = orb(A,or2(B)). % 0.69/1.10 71 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 72 (wt=4) [] notb(btrue) = bfalse. % 0.69/1.10 72 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 73 (wt=4) [] notb(bfalse) = btrue. % 0.69/1.10 73 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 74 (wt=5) [] andb(btrue,A) = A. % 0.69/1.10 74 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 75 (wt=5) [] andb(bfalse,A) = bfalse. % 0.69/1.10 75 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 76 (wt=4) [] eps2(eps) = btrue. % 0.69/1.10 76 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 77 (wt=10) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)). % 0.69/1.10 77 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 78 (wt=10) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)). % 0.69/1.10 78 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 79 (wt=5) [] eps2(star(A)) = btrue. % 0.69/1.10 79 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 80 (wt=4) [] eps2(nil4) = bfalse. % 0.69/1.10 80 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 81 (wt=5) [] eps2(atom(A)) = bfalse. % 0.69/1.10 81 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 82 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.69/1.10 82 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 83 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 0.69/1.10 83 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 84 (wt=12) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)). % 0.69/1.10 % 0.69/1.10 ** KEPT: 85 (wt=12) [flip(84)] aux2(A,B,C,eps2(B)) = step(y(B,C),A). % 0.69/1.10 clause forward subsumed: 0 (wt=12) [flip(85)] step(y(B,C),A) = aux2(A,B,C,eps2(B)). % 0.69/1.10 % 0.69/1.10 ** KEPT: 86 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 0.69/1.10 86 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 87 (wt=5) [] step(nil4,A) = nil4. % 0.69/1.10 87 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 88 (wt=5) [] step(eps,A) = nil4. % 0.69/1.10 88 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 89 (wt=6) [flip(1)] eps2(A) = rec(A,nil2). % 0.69/1.10 89 is a new demodulator. % 0.69/1.10 -> 89 back demodulating 85. % 0.69/1.10 % 0.69/1.10 ** KEPT: 90 (wt=13) [back_demod(85),demod([89]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil2)). % 0.69/1.10 90 is a new demodulator. % 0.69/1.10 -> 90 back demodulating 84. % 0.69/1.10 clause forward subsumed: 0 (wt=15) [back_demod(84),demod([90,89])] aux2(C,A,B,rec(A,nil2)) = aux2(C,A,B,rec(A,nil2)). % 0.69/1.10 -> 89 back demodulating 81. % 0.69/1.10 % 0.69/1.10 ** KEPT: 91 (wt=6) [back_demod(81),demod([89])] rec(atom(A),nil2) = bfalse. % 0.69/1.10 91 is a new demodulator. % 0.69/1.10 -> 89 back demodulating 80. % 0.69/1.10 % 0.69/1.10 ** KEPT: 92 (wt=5) [back_demod(80),demod([89])] rec(nil4,nil2) = bfalse. % 0.69/1.10 92 is a new demodulator. % 0.69/1.10 -> 89 back demodulating 79. % 0.69/1.10 % 0.69/1.10 ** KEPT: 93 (wt=6) [back_demod(79),demod([89])] rec(star(A),nil2) = btrue. % 0.69/1.10 93 is a new demodulator. % 0.69/1.10 -> 89 back demodulating 78. % 0.69/1.10 % 0.69/1.10 ** KEPT: 94 (wt=13) [back_demod(78),demod([89,89,89])] rec(y(A,B),nil2) = andb(rec(A,nil2),rec(B,nil2)). % 0.69/1.10 94 is a new demodulator. % 0.69/1.10 -> 89 back demodulating 77. % 0.69/1.10 % 0.69/1.10 ** KEPT: 95 (wt=13) [back_demod(77),demod([89,89,89])] rec(x(A,B),nil2) = orb(rec(A,nil2),rec(B,nil2)). % 0.69/1.10 95 is a new demodulator. % 0.69/1.10 -> 89 back demodulating 76. % 0.69/1.10 % 0.69/1.10 ** KEPT: 96 (wt=5) [back_demod(76),demod([89])] rec(eps,nil2) = btrue. % 0.69/1.10 96 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 97 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons2(B,C)). % 0.69/1.10 97 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 98 (wt=6) [] reck(A,B,nil) = nil3. % 0.69/1.10 98 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 99 (wt=21) [] reck(A,B,cons(pair2(C,D),E)) = cons3(andb(reck2(A,C),rec(B,D)),reck(A,B,E)). % 0.69/1.10 % 0.69/1.10 ** KEPT: 100 (wt=21) [flip(99)] cons3(andb(reck2(A,B),rec(C,D)),reck(A,C,E)) = reck(A,C,cons(pair2(B,D),E)). % 0.69/1.10 clause forward subsumed: 0 (wt=21) [flip(100)] reck(A,C,cons(pair2(B,D),E)) = cons3(andb(reck2(A,B),rec(C,D)),reck(A,C,E)). % 0.69/1.10 % 0.69/1.10 ** KEPT: 101 (wt=5) [] reck2(nil4,A) = bfalse. % 0.69/1.10 101 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 102 (wt=5) [] reck2(eps,nil2) = btrue. % 0.69/1.10 102 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 103 (wt=7) [] reck2(eps,cons2(A,B)) = bfalse. % 0.69/1.10 103 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 104 (wt=6) [] reck2(atom(A),nil2) = bfalse. % 0.69/1.10 104 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 105 (wt=10) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 0.69/1.10 105 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 106 (wt=10) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 0.69/1.10 106 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 107 (wt=13) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 0.69/1.10 107 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 108 (wt=12) [flip(1)] or2(reck(A,B,splits2(C))) = reck2(y(A,B),C). % 0.69/1.10 108 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 109 (wt=6) [] reck2(star(A),nil2) = btrue. % 0.69/1.10 109 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 110 (wt=15) [demod([89])] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(rec(A,nil2))). % 0.69/1.10 110 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 111 (wt=15) [] prop_kfind4(A) = notb(reck2(A,cons2(a,cons2(b,cons2(b,cons2(a,nil2)))))). % 0.69/1.10 111 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 112 (wt=5) [] eq(a,b) = bfalse. % 0.69/1.10 112 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 113 (wt=5) [] eq(a,c) = bfalse. % 0.69/1.10 113 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 114 (wt=5) [] eq(b,a) = bfalse. % 0.69/1.10 114 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 115 (wt=5) [] eq(b,c) = bfalse. % 0.69/1.10 115 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 116 (wt=5) [] eq(c,a) = bfalse. % 0.69/1.10 116 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 117 (wt=5) [] eq(c,b) = bfalse. % 0.69/1.10 117 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 118 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.69/1.10 118 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 119 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.69/1.10 119 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 120 (wt=5) [] eq(A,A) = btrue. % 0.69/1.10 120 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 121 (wt=5) [] eq2(A,A) = btrue. % 0.69/1.10 121 is a new demodulator. % 0.69/1.10 % 0.69/1.10 ** KEPT: 122 (wt=16) [demod([111])] -(eq2(notb(reck2(A,cons2(a,cons2(b,cons2(b,cons2(a,nil2)))))),bfalse) = btrue). % 0.69/1.10 % 0.69/1.10 After processing input: % 0.69/1.10 % 0.69/1.10 Usable: % 0.69/1.10 end_of_list. % 0.69/1.10 % 0.69/1.10 Sos: % 0.69/1.10 70 (wt=4) [] or2(nil3) = bfalse. % 0.69/1.10 72 (wt=4) [] notb(btrue) = bfalse. % 0.69/1.10 73 (wt=4) [] notb(bfalse) = btrue. % 0.69/1.10 7 (wt=5) [] z(nil4,A) = nil4. % 0.69/1.10 8 (wt=5) [] z(eps,A) = A. % 0.69/1.10 33 (wt=5) [] x2(nil4,A) = A. % 0.69/1.10 34 (wt=5) [] x2(eps,nil4) = eps. % 0.69/1.10 64 (wt=5) [] splits(A,nil) = nil. % 0.69/1.10 68 (wt=5) [] orb(btrue,A) = btrue. % 0.69/1.10 69 (wt=5) [] orb(bfalse,A) = A. % 0.69/1.10 74 (wt=5) [] andb(btrue,A) = A. % 0.69/1.10 75 (wt=5) [] andb(bfalse,A) = bfalse. % 0.69/1.10 87 (wt=5) [] step(nil4,A) = nil4. % 0.69/1.10 88 (wt=5) [] step(eps,A) = nil4. % 0.69/1.10 92 (wt=5) [back_demod(80),demod([89])] rec(nil4,nil2) = bfalse. % 0.69/1.10 96 (wt=5) [back_demod(76),demod([89])] rec(eps,nil2) = btrue. % 0.69/1.10 101 (wt=5) [] reck2(nil4,A) = bfalse. % 0.69/1.10 102 (wt=5) [] reck2(eps,nil2) = btrue. % 0.69/1.10 112 (wt=5) [] eq(a,b) = bfalse. % 0.69/1.10 113 (wt=5) [] eq(a,c) = bfalse. % 0.69/1.10 114 (wt=5) [] eq(b,a) = bfalse. % 0.69/1.10 115 (wt=5) [] eq(b,c) = bfalse. % 0.69/1.10 116 (wt=5) [] eq(c,a) = bfalse. % 0.69/1.10 117 (wt=5) [] eq(c,b) = bfalse. % 0.69/1.10 118 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.69/1.10 119 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.69/1.10 120 (wt=5) [] eq(A,A) = btrue. % 0.69/1.10 121 (wt=5) [] eq2(A,A) = btrue. % 0.69/1.10 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.69/1.10 2 (wt=6) [] aux(A,B,bfalse) = nil4. % 0.69/1.10 9 (wt=6) [] z(atom(A),nil4) = nil4. % 0.69/1.10 27 (wt=6) [] z(star(A),nil4) = nil4. % 0.69/1.10 89 (wt=6) [flip(1)] eps2(A) = rec(A,nil2). % 0.69/1.10 91 (wt=6) [back_demod(81),demod([89])] rec(atom(A),nil2) = bfalse. % 0.69/1.10 93 (wt=6) [back_demod(79),demod([89])] rec(star(A),nil2) = btrue. % 0.69/1.10 98 (wt=6) [] reck(A,B,nil) = nil3. % 0.69/1.10 104 (wt=6) [] reck2(atom(A),nil2) = bfalse. % 0.69/1.10 109 (wt=6) [] reck2(star(A),nil2) = btrue. % 0.69/1.10 6 (wt=7) [] aux3(A,B,C,bfalse) = bfalse. % 0.69/1.10 10 (wt=7) [] z(atom(A),eps) = atom(A). % 0.69/1.10 15 (wt=7) [] z(x(A,B),nil4) = nil4. % 0.69/1.10 21 (wt=7) [] z(y(A,B),nil4) = nil4. % 0.69/1.10 28 (wt=7) [] z(star(A),eps) = star(A). % 0.69/1.10 35 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.69/1.10 40 (wt=7) [] x2(atom(A),nil4) = atom(A). % 0.69/1.10 58 (wt=7) [] x2(star(A),nil4) = star(A). % 0.69/1.10 103 (wt=7) [] reck2(eps,cons2(A,B)) = bfalse. % 0.69/1.10 66 (wt=8) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 0.69/1.10 16 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.69/1.10 22 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.69/1.10 36 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.69/1.10 39 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.69/1.10 41 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.69/1.10 46 (wt=9) [] x2(x(A,B),nil4) = x(A,B). % 0.69/1.10 52 (wt=9) [] x2(y(A,B),nil4) = y(A,B). % 0.69/1.10 59 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 0.69/1.10 71 (wt=9) [] or2(cons3(A,B)) = orb(A,or2(B)). % 0.69/1.10 105 (wt=10) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 0.69/1.10 106 (wt=10) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 0.69/1.10 11 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.69/1.10 14 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.69/1.10 29 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.69/1.10 32 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.69/1.10 37 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.69/1.10 38 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.69/1.10 42 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.69/1.10 45 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.69/1.10 47 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.69/1.11 53 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.69/1.11 60 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.69/1.11 63 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.69/1.11 82 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.69/1.11 86 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 0.69/1.11 97 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons2(B,C)). % 0.69/1.11 108 (wt=12) [flip(1)] or2(reck(A,B,splits2(C))) = reck2(y(A,B),C). % 0.69/1.11 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil4) = aux2(B,A,C,bfalse). % 0.69/1.11 12 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.69/1.11 13 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.69/1.11 17 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.69/1.11 20 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.69/1.11 23 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.69/1.11 26 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.69/1.11 30 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.69/1.11 31 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.69/1.11 43 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.69/1.11 44 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.69/1.11 48 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.69/1.11 51 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.69/1.11 54 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.69/1.11 57 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.69/1.11 61 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.69/1.11 62 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.69/1.11 83 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 0.69/1.11 90 (wt=13) [back_demod(85),demod([89]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil2)). % 0.69/1.11 94 (wt=13) [back_demod(78),demod([89,89,89])] rec(y(A,B),nil2) = andb(rec(A,nil2),rec(B,nil2)). % 0.69/1.11 95 (wt=13) [back_demod(77),demod([89,89,89])] rec(x(A,B),nil2) = orb(rec(A,nil2),rec(B,nil2)). % 0.69/1.11 107 (wt=13) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 0.69/1.11 5 (wt=14) [flip(1)] rec(y(A,star(A)),cons2(B,C)) = aux3(A,B,C,btrue). % 0.69/1.11 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.69/1.11 18 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.69/1.11 19 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.69/1.11 24 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.69/1.11 25 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.69/1.11 49 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.69/1.11 50 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.69/1.11 55 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.69/1.11 56 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.69/1.11 67 (wt=15) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 0.69/1.11 110 (wt=15) [demod([89])] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(rec(A,nil2))). % 0.69/1.11 111 (wt=15) [] prop_kfind4(A) = notb(reck2(A,cons2(a,cons2(b,cons2(b,cons2(a,nil2)))))). % 0.69/1.11 122 (wt=16) [demod([111])] -(eq2(notb(reck2(A,cons2(a,cons2(b,cons2(b,cons2(a,nil2)))))),bfalse) = btrue). % 0.69/1.11 65 (wt=17) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 0.69/1.11 99 (wt=21) [] reck(A,B,cons(pair2(C,D),E)) = cons3(andb(reck2(A,C),rec(B,D)),reck(A,B,E)). % 0.69/1.11 100 (wt=21) [flip(99)] cons3(andb(reck2(A,B),rec(C,D)),reck(A,C,E)) = reck(A,C,cons(pair2(B,D),E)). % 0.69/1.11 end_of_list. % 0.69/1.11 % 0.69/1.11 Demodulators: % 0.69/1.11 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.69/1.11 2 (wt=6) [] aux(A,B,bfalse) = nil4. % 0.69/1.11 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.69/1.11 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil4) = aux2(B,A,C,bfalse). % 0.69/1.11 5 (wt=14) [flip(1)] rec(y(A,star(A)),cons2(B,C)) = aux3(A,B,C,btrue). % 0.69/1.11 6 (wt=7) [] aux3(A,B,C,bfalse) = bfalse. % 0.69/1.11 7 (wt=5) [] z(nil4,A) = nil4. % 0.69/1.11 8 (wt=5) [] z(eps,A) = A. % 0.69/1.11 9 (wt=6) [] z(atom(A),nil4) = nil4. % 0.69/1.11 10 (wt=7) [] z(atom(A),eps) = atom(A). % 0.69/1.11 11 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.69/1.11 12 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.69/1.11 13 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.69/1.11 14 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.69/1.11 15 (wt=7) [] z(x(A,B),nil4) = nil4. % 0.69/1.11 16 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.69/1.11 17 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.69/1.11 18 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.69/1.11 19 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.69/1.11 20 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.69/1.11 21 (wt=7) [] z(y(A,B),nil4) = nil4. % 0.69/1.11 22 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.69/1.11 23 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.69/1.11 24 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.69/1.11 25 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.69/1.11 26 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.69/1.11 27 (wt=6) [] z(star(A),nil4) = nil4. % 0.69/1.11 28 (wt=7) [] z(star(A),eps) = star(A). % 0.69/1.11 29 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.69/1.11 30 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.69/1.11 31 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.69/1.11 32 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.69/1.11 33 (wt=5) [] x2(nil4,A) = A. % 0.69/1.11 34 (wt=5) [] x2(eps,nil4) = eps. % 0.69/1.11 35 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.69/1.11 36 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.69/1.11 37 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.69/1.11 38 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.69/1.11 39 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.69/1.11 40 (wt=7) [] x2(atom(A),nil4) = atom(A). % 0.69/1.11 41 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.69/1.11 42 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.69/1.11 43 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.69/1.11 44 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.69/1.11 45 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.69/1.11 46 (wt=9) [] x2(x(A,B),nil4) = x(A,B). % 0.69/1.11 47 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 20.92/21.33 48 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 20.92/21.33 49 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 20.92/21.33 50 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 20.92/21.33 51 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 20.92/21.33 52 (wt=9) [] x2(y(A,B),nil4) = y(A,B). % 20.92/21.33 53 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 20.92/21.33 54 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 20.92/21.33 55 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 20.92/21.33 56 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 20.92/21.33 57 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 20.92/21.33 58 (wt=7) [] x2(star(A),nil4) = star(A). % 20.92/21.33 59 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 20.92/21.33 60 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 20.92/21.33 61 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 20.92/21.33 62 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 20.92/21.33 63 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 20.92/21.33 64 (wt=5) [] splits(A,nil) = nil. % 20.92/21.33 65 (wt=17) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 20.92/21.33 66 (wt=8) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 20.92/21.33 67 (wt=15) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 20.92/21.33 68 (wt=5) [] orb(btrue,A) = btrue. % 20.92/21.33 69 (wt=5) [] orb(bfalse,A) = A. % 20.92/21.33 70 (wt=4) [] or2(nil3) = bfalse. % 20.92/21.33 71 (wt=9) [] or2(cons3(A,B)) = orb(A,or2(B)). % 20.92/21.33 72 (wt=4) [] notb(btrue) = bfalse. % 20.92/21.33 73 (wt=4) [] notb(bfalse) = btrue. % 20.92/21.33 74 (wt=5) [] andb(btrue,A) = A. % 20.92/21.33 75 (wt=5) [] andb(bfalse,A) = bfalse. % 20.92/21.33 82 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 20.92/21.33 83 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 20.92/21.33 86 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 20.92/21.33 87 (wt=5) [] step(nil4,A) = nil4. % 20.92/21.33 88 (wt=5) [] step(eps,A) = nil4. % 20.92/21.33 89 (wt=6) [flip(1)] eps2(A) = rec(A,nil2). % 20.92/21.33 90 (wt=13) [back_demod(85),demod([89]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil2)). % 20.92/21.33 91 (wt=6) [back_demod(81),demod([89])] rec(atom(A),nil2) = bfalse. % 20.92/21.33 92 (wt=5) [back_demod(80),demod([89])] rec(nil4,nil2) = bfalse. % 20.92/21.33 93 (wt=6) [back_demod(79),demod([89])] rec(star(A),nil2) = btrue. % 20.92/21.33 94 (wt=13) [back_demod(78),demod([89,89,89])] rec(y(A,B),nil2) = andb(rec(A,nil2),rec(B,nil2)). % 20.92/21.33 95 (wt=13) [back_demod(77),demod([89,89,89])] rec(x(A,B),nil2) = orb(rec(A,nil2),rec(B,nil2)). % 20.92/21.33 96 (wt=5) [back_demod(76),demod([89])] rec(eps,nil2) = btrue. % 20.92/21.33 97 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons2(B,C)). % 20.92/21.33 98 (wt=6) [] reck(A,B,nil) = nil3. % 20.92/21.33 101 (wt=5) [] reck2(nil4,A) = bfalse. % 20.92/21.33 102 (wt=5) [] reck2(eps,nil2) = btrue. % 20.92/21.33 103 (wt=7) [] reck2(eps,cons2(A,B)) = bfalse. % 20.92/21.33 104 (wt=6) [] reck2(atom(A),nil2) = bfalse. % 20.92/21.33 105 (wt=10) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 20.92/21.33 106 (wt=10) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 20.92/21.33 107 (wt=13) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 20.92/21.33 108 (wt=12) [flip(1)] or2(reck(A,B,splits2(C))) = reck2(y(A,B),C). % 20.92/21.33 109 (wt=6) [] reck2(star(A),nil2) = btrue. % 20.92/21.33 110 (wt=15) [demod([89])] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(rec(A,nil2))). % 20.92/21.33 111 (wt=15) [] prop_kfind4(A) = notb(reck2(A,cons2(a,cons2(b,cons2(b,cons2(a,nil2)))))). % 20.92/21.33 112 (wt=5) [] eq(a,b) = bfalse. % 20.92/21.33 113 (wt=5) [] eq(a,c) = bfalse. % 20.92/21.33 114 (wt=5) [] eq(b,a) = bfalse. % 20.92/21.33 115 (wt=5) [] eq(b,c) = bfalse. % 20.92/21.33 116 (wt=5) [] eq(c,a) = bfalse. % 20.92/21.33 117 (wt=5) [] eq(c,b) = bfalse. % 20.92/21.33 118 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 20.92/21.33 119 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 20.92/21.33 120 (wt=5) [] eq(A,A) = btrue. % 20.92/21.33 121 (wt=5) [] eq2(A,A) = btrue. % 20.92/21.33 end_of_list. % 20.92/21.33 % 20.92/21.33 Passive: % 20.92/21.33 end_of_list. % 20.92/21.33 % 20.92/21.33 ------------- memory usage ------------ % 20.92/21.33 Memory dynamically allocated (tp_alloc): 63964. % 20.92/21.33 type (bytes each) gets frees in use avail bytes % 20.92/21.33 sym_ent ( 96) 106 0 106 0 9.9 K % 20.92/21.33 term ( 16) 5108416 4141003 967413 1 18753.1 K % 20.92/21.33 gen_ptr ( 8) 4748626 570188 4178438 0 32644.0 K % 20.92/21.33 context ( 808) 26588928 26588926 2 8 7.9 K % 20.92/21.33 trail ( 12) 25397 25397 0 8 0.1 K % 20.92/21.33 bt_node ( 68) 12724281 12724278 3 19 1.5 K % 20.92/21.33 ac_position (285432) 0 0 0 0 0.0 K % 20.92/21.33 ac_match_pos (14044) 0 0 0 0 0.0 K % 20.92/21.33 ac_match_free_vars_pos (4020) % 20.92/21.34 0 0 0 0 0.0 K % 20.92/21.34 discrim ( 12) 628285 24138 604147 0 7079.8 K % 20.92/21.34 flat ( 40) 1147271 % 20.92/21.34 % 20.92/21.34 ********** ABNORMAL END ********** % 20.92/21.34 ********** in tp_alloc, max_mem parameter exceeded. % 20.92/21.34 8 11472718 0 66 2.6 K % 20.92/21.34 discrim_pos ( 12) 189220 189220 0 1 0.0 K % 20.92/21.34 fpa_head ( 12) 49975 0 49975 0 585.6 K % 20.92/21.34 fpa_tree ( 28) 76956 76956 0 25 0.7 K % 20.92/21.34 fpa_pos ( 36) 45512 45512 0 1 0.0 K % 20.92/21.34 literal ( 12) 254081 217806 36275 0 425.1 K % 20.92/21.34 clause ( 24) 254081 217806 36275 0 850.2 K % 20.92/21.34 list ( 12) 9297 9241 56 4 0.7 K % 20.92/21.34 list_pos ( 20) 121809 8213 113596 0 2218.7 K % 20.92/21.34 pair_index ( 40) 2 0 2 0 0.1 K % 20.92/21.34 % 20.92/21.34 -------------- statistics ------------- % 20.92/21.34 Clauses input 113 % 20.92/21.34 Usable input 0 % 20.92/21.34 Sos input 113 % 20.92/21.34 Demodulators input 0 % 20.92/21.34 Passive input 0 % 20.92/21.34 % 20.92/21.34 Processed BS (before search) 125 % 20.92/21.34 Forward subsumed BS 3 % 20.92/21.34 Kept BS 122 % 20.92/21.34 New demodulators BS 117 % 20.92/21.34 Back demodulated BS 8 % 20.92/21.34 % 20.92/21.34 Clauses or pairs given 1827610 % 20.92/21.34 Clauses generated 125852 % 20.92/21.34 Forward subsumed 89700 % 20.92/21.34 Deleted by weight 0 % 20.92/21.34 Deleted by variable count 0 % 20.92/21.34 Kept 36152 % 20.92/21.34 New demodulators 9121 % 20.92/21.34 Back demodulated 1800 % 20.92/21.34 Ordered paramod prunes 0 % 20.92/21.34 Basic paramod prunes 6169748 % 20.92/21.34 Prime paramod prunes 2 % 20.92/21.34 Semantic prunes 0 % 20.92/21.34 % 20.92/21.34 Rewrite attmepts 2788727 % 20.92/21.34 Rewrites 133654 % 20.92/21.34 % 20.92/21.34 FPA overloads 0 % 20.92/21.34 FPA underloads 0 % 20.92/21.34 % 20.92/21.34 Usable size 0 % 20.92/21.34 Sos size 34466 % 20.92/21.34 Demodulators size 8390 % 20.92/21.34 Passive size 0 % 20.92/21.34 Disabled size 1808 % 20.92/21.34 % 20.92/21.34 Proofs found 0 % 20.92/21.34 % 20.92/21.34 ----------- times (seconds) ----------- Tue May 5 13:14:52 2026 % 20.92/21.34 % 20.92/21.34 user CPU time 14.38 (0 hr, 0 min, 14 sec) % 20.92/21.34 system CPU time 5.86 (0 hr, 0 min, 5 sec) % 20.92/21.34 wall-clock time 20 (0 hr, 0 min, 20 sec) % 20.92/21.34 input time 0.01 % 20.92/21.34 paramodulation time 1.69 % 20.92/21.34 demodulation time 0.35 % 20.92/21.34 orient time 0.24 % 20.92/21.34 weigh time 0.05 % 20.92/21.34 forward subsume time 0.16 % 20.92/21.34 back demod find time 0.16 % 20.92/21.34 conflict time 0.04 % 20.92/21.34 LRPO time 0.13 % 20.92/21.34 store clause time 9.25 % 20.92/21.34 disable clause time 0.46 % 20.92/21.34 prime paramod time 0.11 % 20.92/21.34 semantics time 0.00 % 20.92/21.34 % 20.92/21.34 EQP interrupted %------------------------------------------------------------------------------