%------------------------------------------------------------------------------ % File : EQP---0.9e % Problem : SWX235-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_eqp %s % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 5 07:00:13 PM UTC 2026 % Result : Unknown 19.84s 20.21s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX235-1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : tptp2X_and_run_eqp %s % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue May 5 13:10:08 EDT 2026 % 0.16/0.34 % CPUTime : % 0.72/1.11 ----- EQP 0.9e, May 2009 ----- % 0.72/1.11 The job began on n026.cluster.edu, Tue May 5 13:10:09 2026 % 0.72/1.11 The command was "./eqp09e". % 0.72/1.11 % 0.72/1.11 set(prolog_style_variables). % 0.72/1.11 set(lrpo). % 0.72/1.11 set(basic_paramod). % 0.72/1.11 set(functional_subsume). % 0.72/1.11 set(ordered_paramod). % 0.72/1.11 set(prime_paramod). % 0.72/1.11 set(para_pairs). % 0.72/1.11 assign(pick_given_ratio,4). % 0.72/1.11 clear(print_kept). % 0.72/1.11 clear(print_new_demod). % 0.72/1.11 clear(print_back_demod). % 0.72/1.11 clear(print_given). % 0.72/1.11 assign(max_mem,64000). % 0.72/1.11 end_of_commands. % 0.72/1.11 % 0.72/1.11 Usable: % 0.72/1.11 end_of_list. % 0.72/1.11 % 0.72/1.11 Sos: % 0.72/1.11 0 (wt=-1) [] aux(A,B,btrue) = eps. % 0.72/1.11 0 (wt=-1) [] aux(A,B,bfalse) = nil4. % 0.72/1.11 0 (wt=-1) [] aux2(A,B,C,btrue) = x(y(step(B,A),C),step(C,A)). % 0.72/1.11 0 (wt=-1) [] aux2(A,B,C,bfalse) = x(y(step(B,A),C),nil4). % 0.72/1.11 0 (wt=-1) [] aux3(A,B,C,btrue) = rec(y(A,star(A)),cons2(B,C)). % 0.72/1.11 0 (wt=-1) [] aux3(A,B,C,bfalse) = bfalse. % 0.72/1.11 0 (wt=-1) [] z(nil4,A) = nil4. % 0.72/1.11 0 (wt=-1) [] z(eps,A) = A. % 0.72/1.11 0 (wt=-1) [] z(atom(A),nil4) = nil4. % 0.72/1.11 0 (wt=-1) [] z(atom(A),eps) = atom(A). % 0.72/1.11 0 (wt=-1) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.72/1.11 0 (wt=-1) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.72/1.11 0 (wt=-1) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.72/1.11 0 (wt=-1) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.72/1.11 0 (wt=-1) [] z(x(A,B),nil4) = nil4. % 0.72/1.11 0 (wt=-1) [] z(x(A,B),eps) = x(A,B). % 0.72/1.11 0 (wt=-1) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.72/1.11 0 (wt=-1) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.72/1.11 0 (wt=-1) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.72/1.11 0 (wt=-1) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.72/1.11 0 (wt=-1) [] z(y(A,B),nil4) = nil4. % 0.72/1.11 0 (wt=-1) [] z(y(A,B),eps) = y(A,B). % 0.72/1.11 0 (wt=-1) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.72/1.11 0 (wt=-1) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.72/1.11 0 (wt=-1) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.72/1.11 0 (wt=-1) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.72/1.11 0 (wt=-1) [] z(star(A),nil4) = nil4. % 0.72/1.11 0 (wt=-1) [] z(star(A),eps) = star(A). % 0.72/1.11 0 (wt=-1) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.72/1.11 0 (wt=-1) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.72/1.11 0 (wt=-1) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.72/1.11 0 (wt=-1) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.72/1.11 0 (wt=-1) [] x2(nil4,A) = A. % 0.72/1.11 0 (wt=-1) [] x2(eps,nil4) = eps. % 0.72/1.11 0 (wt=-1) [] x2(eps,eps) = x(eps,eps). % 0.72/1.11 0 (wt=-1) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.72/1.11 0 (wt=-1) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.72/1.11 0 (wt=-1) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.72/1.11 0 (wt=-1) [] x2(eps,star(A)) = x(eps,star(A)). % 0.72/1.11 0 (wt=-1) [] x2(atom(A),nil4) = atom(A). % 0.72/1.11 0 (wt=-1) [] x2(atom(A),eps) = x(atom(A),eps). % 0.72/1.11 0 (wt=-1) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.72/1.11 0 (wt=-1) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.72/1.11 0 (wt=-1) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.72/1.11 0 (wt=-1) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.72/1.11 0 (wt=-1) [] x2(x(A,B),nil4) = x(A,B). % 0.72/1.11 0 (wt=-1) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.72/1.11 0 (wt=-1) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.72/1.11 0 (wt=-1) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.72/1.11 0 (wt=-1) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.72/1.11 0 (wt=-1) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.72/1.11 0 (wt=-1) [] x2(y(A,B),nil4) = y(A,B). % 0.72/1.11 0 (wt=-1) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.72/1.11 0 (wt=-1) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.72/1.11 0 (wt=-1) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.72/1.11 0 (wt=-1) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.72/1.11 0 (wt=-1) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.72/1.11 0 (wt=-1) [] x2(star(A),nil4) = star(A). % 0.72/1.11 0 (wt=-1) [] x2(star(A),eps) = x(star(A),eps). % 0.72/1.11 0 (wt=-1) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.72/1.11 0 (wt=-1) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.72/1.11 0 (wt=-1) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.72/1.11 0 (wt=-1) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.72/1.11 0 (wt=-1) [] splits(A,nil) = nil. % 0.72/1.11 0 (wt=-1) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 0.72/1.11 0 (wt=-1) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 0.72/1.11 0 (wt=-1) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 0.72/1.11 0 (wt=-1) [] orb(btrue,A) = btrue. % 0.72/1.11 0 (wt=-1) [] orb(bfalse,A) = A. % 0.72/1.11 0 (wt=-1) [] or2(nil3) = bfalse. % 0.72/1.11 0 (wt=-1) [] or2(cons3(A,B)) = orb(A,or2(B)). % 0.72/1.11 0 (wt=-1) [] notb(btrue) = bfalse. % 0.72/1.11 0 (wt=-1) [] notb(bfalse) = btrue. % 0.72/1.11 0 (wt=-1) [] andb(btrue,A) = A. % 0.72/1.11 0 (wt=-1) [] andb(bfalse,A) = bfalse. % 0.72/1.11 0 (wt=-1) [] eps2(eps) = btrue. % 0.72/1.11 0 (wt=-1) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)). % 0.72/1.11 0 (wt=-1) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)). % 0.72/1.11 0 (wt=-1) [] eps2(star(A)) = btrue. % 0.72/1.12 0 (wt=-1) [] eps2(nil4) = bfalse. % 0.72/1.12 0 (wt=-1) [] eps2(atom(A)) = bfalse. % 0.72/1.12 0 (wt=-1) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.72/1.12 0 (wt=-1) [] step(x(A,B),C) = x(step(A,C),step(B,C)). % 0.72/1.12 0 (wt=-1) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)). % 0.72/1.12 0 (wt=-1) [] step(star(A),B) = y(step(A,B),star(A)). % 0.72/1.12 0 (wt=-1) [] step(nil4,A) = nil4. % 0.72/1.12 0 (wt=-1) [] step(eps,A) = nil4. % 0.72/1.12 0 (wt=-1) [] rec(A,nil2) = eps2(A). % 0.72/1.12 0 (wt=-1) [] rec(A,cons2(B,C)) = rec(step(A,B),C). % 0.72/1.12 0 (wt=-1) [] reck(A,B,nil) = nil3. % 0.72/1.12 0 (wt=-1) [] reck(A,B,cons(pair2(C,D),E)) = cons3(andb(reck2(A,C),rec(B,D)),reck(A,B,E)). % 0.72/1.12 0 (wt=-1) [] reck2(nil4,A) = bfalse. % 0.72/1.12 0 (wt=-1) [] reck2(eps,nil2) = btrue. % 0.72/1.12 0 (wt=-1) [] reck2(eps,cons2(A,B)) = bfalse. % 0.72/1.12 0 (wt=-1) [] reck2(atom(A),nil2) = bfalse. % 0.72/1.12 0 (wt=-1) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 0.72/1.12 0 (wt=-1) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 0.72/1.12 0 (wt=-1) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 0.72/1.12 0 (wt=-1) [] reck2(y(A,B),C) = or2(reck(A,B,splits2(C))). % 0.72/1.12 0 (wt=-1) [] reck2(star(A),nil2) = btrue. % 0.72/1.12 0 (wt=-1) [] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(eps2(A))). % 0.72/1.12 0 (wt=-1) [] prop_kfind2(A) = notb(reck2(A,cons2(a,cons2(b,cons2(a,cons2(b,nil2)))))). % 0.72/1.12 0 (wt=-1) [] eq(a,b) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq(a,c) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq(b,a) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq(b,c) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq(c,a) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq(c,b) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq2(bfalse,btrue) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq2(btrue,bfalse) = bfalse. % 0.72/1.12 0 (wt=-1) [] eq(A,A) = btrue. % 0.72/1.12 0 (wt=-1) [] eq2(A,A) = btrue. % 0.72/1.12 0 (wt=-1) [] -(eq2(prop_kfind2(A),bfalse) = btrue). % 0.72/1.12 end_of_list. % 0.72/1.12 % 0.72/1.12 Demodulators: % 0.72/1.12 end_of_list. % 0.72/1.12 % 0.72/1.12 Passive: % 0.72/1.12 end_of_list. % 0.72/1.12 % 0.72/1.12 Starting to process input. % 0.72/1.12 % 0.72/1.12 ** KEPT: 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.72/1.12 1 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 2 (wt=6) [] aux(A,B,bfalse) = nil4. % 0.72/1.12 2 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.72/1.12 3 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil4) = aux2(B,A,C,bfalse). % 0.72/1.12 4 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 5 (wt=14) [flip(1)] rec(y(A,star(A)),cons2(B,C)) = aux3(A,B,C,btrue). % 0.72/1.12 5 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 6 (wt=7) [] aux3(A,B,C,bfalse) = bfalse. % 0.72/1.12 6 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 7 (wt=5) [] z(nil4,A) = nil4. % 0.72/1.12 7 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 8 (wt=5) [] z(eps,A) = A. % 0.72/1.12 8 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 9 (wt=6) [] z(atom(A),nil4) = nil4. % 0.72/1.12 9 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 10 (wt=7) [] z(atom(A),eps) = atom(A). % 0.72/1.12 10 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 11 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.72/1.12 11 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 12 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.72/1.12 12 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 13 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.72/1.12 13 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 14 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.72/1.12 14 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 15 (wt=7) [] z(x(A,B),nil4) = nil4. % 0.72/1.12 15 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 16 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.72/1.12 16 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 17 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.72/1.12 17 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 18 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.72/1.12 18 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 19 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.72/1.12 19 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 20 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.72/1.12 20 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 21 (wt=7) [] z(y(A,B),nil4) = nil4. % 0.72/1.12 21 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 22 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.72/1.12 22 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 23 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.72/1.12 23 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 24 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.72/1.12 24 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 25 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.72/1.12 25 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 26 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.72/1.12 26 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 27 (wt=6) [] z(star(A),nil4) = nil4. % 0.72/1.12 27 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 28 (wt=7) [] z(star(A),eps) = star(A). % 0.72/1.12 28 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 29 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.72/1.12 29 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 30 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.72/1.12 30 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 31 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.72/1.12 31 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 32 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.72/1.12 32 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 33 (wt=5) [] x2(nil4,A) = A. % 0.72/1.12 33 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 34 (wt=5) [] x2(eps,nil4) = eps. % 0.72/1.12 34 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 35 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.72/1.12 35 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 36 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.72/1.12 36 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 37 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.72/1.12 37 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 38 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.72/1.12 38 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 39 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.72/1.12 39 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 40 (wt=7) [] x2(atom(A),nil4) = atom(A). % 0.72/1.12 40 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 41 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.72/1.12 41 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 42 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.72/1.12 42 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 43 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.72/1.12 43 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 44 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.72/1.12 44 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 45 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.72/1.12 45 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 46 (wt=9) [] x2(x(A,B),nil4) = x(A,B). % 0.72/1.12 46 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 47 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.72/1.12 47 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 48 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.72/1.12 48 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 49 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.72/1.12 49 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 50 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.72/1.12 50 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 51 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.72/1.12 51 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 52 (wt=9) [] x2(y(A,B),nil4) = y(A,B). % 0.72/1.12 52 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 53 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.72/1.12 53 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 54 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.72/1.12 54 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 55 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.72/1.12 55 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 56 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.72/1.12 56 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 57 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.72/1.12 57 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 58 (wt=7) [] x2(star(A),nil4) = star(A). % 0.72/1.12 58 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 59 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 0.72/1.12 59 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 60 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.72/1.12 60 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 61 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.72/1.12 61 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 62 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.72/1.12 62 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 63 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.72/1.12 63 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 64 (wt=5) [] splits(A,nil) = nil. % 0.72/1.12 64 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 65 (wt=17) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 0.72/1.12 65 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 66 (wt=8) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 0.72/1.12 66 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 67 (wt=15) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 0.72/1.12 67 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 68 (wt=5) [] orb(btrue,A) = btrue. % 0.72/1.12 68 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 69 (wt=5) [] orb(bfalse,A) = A. % 0.72/1.12 69 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 70 (wt=4) [] or2(nil3) = bfalse. % 0.72/1.12 70 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 71 (wt=9) [] or2(cons3(A,B)) = orb(A,or2(B)). % 0.72/1.12 71 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 72 (wt=4) [] notb(btrue) = bfalse. % 0.72/1.12 72 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 73 (wt=4) [] notb(bfalse) = btrue. % 0.72/1.12 73 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 74 (wt=5) [] andb(btrue,A) = A. % 0.72/1.12 74 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 75 (wt=5) [] andb(bfalse,A) = bfalse. % 0.72/1.12 75 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 76 (wt=4) [] eps2(eps) = btrue. % 0.72/1.12 76 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 77 (wt=10) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)). % 0.72/1.12 77 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 78 (wt=10) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)). % 0.72/1.12 78 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 79 (wt=5) [] eps2(star(A)) = btrue. % 0.72/1.12 79 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 80 (wt=4) [] eps2(nil4) = bfalse. % 0.72/1.12 80 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 81 (wt=5) [] eps2(atom(A)) = bfalse. % 0.72/1.12 81 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 82 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.72/1.12 82 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 83 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 0.72/1.12 83 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 84 (wt=12) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)). % 0.72/1.12 % 0.72/1.12 ** KEPT: 85 (wt=12) [flip(84)] aux2(A,B,C,eps2(B)) = step(y(B,C),A). % 0.72/1.12 clause forward subsumed: 0 (wt=12) [flip(85)] step(y(B,C),A) = aux2(A,B,C,eps2(B)). % 0.72/1.12 % 0.72/1.12 ** KEPT: 86 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 0.72/1.12 86 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 87 (wt=5) [] step(nil4,A) = nil4. % 0.72/1.12 87 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 88 (wt=5) [] step(eps,A) = nil4. % 0.72/1.12 88 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 89 (wt=6) [flip(1)] eps2(A) = rec(A,nil2). % 0.72/1.12 89 is a new demodulator. % 0.72/1.12 -> 89 back demodulating 85. % 0.72/1.12 % 0.72/1.12 ** KEPT: 90 (wt=13) [back_demod(85),demod([89]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil2)). % 0.72/1.12 90 is a new demodulator. % 0.72/1.12 -> 90 back demodulating 84. % 0.72/1.12 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)). % 0.72/1.12 -> 89 back demodulating 81. % 0.72/1.12 % 0.72/1.12 ** KEPT: 91 (wt=6) [back_demod(81),demod([89])] rec(atom(A),nil2) = bfalse. % 0.72/1.12 91 is a new demodulator. % 0.72/1.12 -> 89 back demodulating 80. % 0.72/1.12 % 0.72/1.12 ** KEPT: 92 (wt=5) [back_demod(80),demod([89])] rec(nil4,nil2) = bfalse. % 0.72/1.12 92 is a new demodulator. % 0.72/1.12 -> 89 back demodulating 79. % 0.72/1.12 % 0.72/1.12 ** KEPT: 93 (wt=6) [back_demod(79),demod([89])] rec(star(A),nil2) = btrue. % 0.72/1.12 93 is a new demodulator. % 0.72/1.12 -> 89 back demodulating 78. % 0.72/1.12 % 0.72/1.12 ** KEPT: 94 (wt=13) [back_demod(78),demod([89,89,89])] rec(y(A,B),nil2) = andb(rec(A,nil2),rec(B,nil2)). % 0.72/1.12 94 is a new demodulator. % 0.72/1.12 -> 89 back demodulating 77. % 0.72/1.12 % 0.72/1.12 ** KEPT: 95 (wt=13) [back_demod(77),demod([89,89,89])] rec(x(A,B),nil2) = orb(rec(A,nil2),rec(B,nil2)). % 0.72/1.12 95 is a new demodulator. % 0.72/1.12 -> 89 back demodulating 76. % 0.72/1.12 % 0.72/1.12 ** KEPT: 96 (wt=5) [back_demod(76),demod([89])] rec(eps,nil2) = btrue. % 0.72/1.12 96 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 97 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons2(B,C)). % 0.72/1.12 97 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 98 (wt=6) [] reck(A,B,nil) = nil3. % 0.72/1.12 98 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 99 (wt=21) [] reck(A,B,cons(pair2(C,D),E)) = cons3(andb(reck2(A,C),rec(B,D)),reck(A,B,E)). % 0.72/1.12 % 0.72/1.12 ** 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)). % 0.72/1.12 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)). % 0.72/1.12 % 0.72/1.12 ** KEPT: 101 (wt=5) [] reck2(nil4,A) = bfalse. % 0.72/1.12 101 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 102 (wt=5) [] reck2(eps,nil2) = btrue. % 0.72/1.12 102 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 103 (wt=7) [] reck2(eps,cons2(A,B)) = bfalse. % 0.72/1.12 103 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 104 (wt=6) [] reck2(atom(A),nil2) = bfalse. % 0.72/1.12 104 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 105 (wt=10) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 0.72/1.12 105 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 106 (wt=10) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 0.72/1.12 106 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 107 (wt=13) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 0.72/1.12 107 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 108 (wt=12) [flip(1)] or2(reck(A,B,splits2(C))) = reck2(y(A,B),C). % 0.72/1.12 108 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 109 (wt=6) [] reck2(star(A),nil2) = btrue. % 0.72/1.12 109 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 110 (wt=15) [demod([89])] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(rec(A,nil2))). % 0.72/1.12 110 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 111 (wt=15) [] prop_kfind2(A) = notb(reck2(A,cons2(a,cons2(b,cons2(a,cons2(b,nil2)))))). % 0.72/1.12 111 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 112 (wt=5) [] eq(a,b) = bfalse. % 0.72/1.12 112 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 113 (wt=5) [] eq(a,c) = bfalse. % 0.72/1.12 113 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 114 (wt=5) [] eq(b,a) = bfalse. % 0.72/1.12 114 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 115 (wt=5) [] eq(b,c) = bfalse. % 0.72/1.12 115 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 116 (wt=5) [] eq(c,a) = bfalse. % 0.72/1.12 116 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 117 (wt=5) [] eq(c,b) = bfalse. % 0.72/1.12 117 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 118 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.72/1.12 118 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 119 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.72/1.12 119 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 120 (wt=5) [] eq(A,A) = btrue. % 0.72/1.12 120 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 121 (wt=5) [] eq2(A,A) = btrue. % 0.72/1.12 121 is a new demodulator. % 0.72/1.12 % 0.72/1.12 ** KEPT: 122 (wt=16) [demod([111])] -(eq2(notb(reck2(A,cons2(a,cons2(b,cons2(a,cons2(b,nil2)))))),bfalse) = btrue). % 0.72/1.12 % 0.72/1.12 After processing input: % 0.72/1.12 % 0.72/1.12 Usable: % 0.72/1.12 end_of_list. % 0.72/1.12 % 0.72/1.12 Sos: % 0.72/1.12 70 (wt=4) [] or2(nil3) = bfalse. % 0.72/1.12 72 (wt=4) [] notb(btrue) = bfalse. % 0.72/1.12 73 (wt=4) [] notb(bfalse) = btrue. % 0.72/1.12 7 (wt=5) [] z(nil4,A) = nil4. % 0.72/1.12 8 (wt=5) [] z(eps,A) = A. % 0.72/1.12 33 (wt=5) [] x2(nil4,A) = A. % 0.72/1.12 34 (wt=5) [] x2(eps,nil4) = eps. % 0.72/1.12 64 (wt=5) [] splits(A,nil) = nil. % 0.72/1.12 68 (wt=5) [] orb(btrue,A) = btrue. % 0.72/1.12 69 (wt=5) [] orb(bfalse,A) = A. % 0.72/1.12 74 (wt=5) [] andb(btrue,A) = A. % 0.72/1.12 75 (wt=5) [] andb(bfalse,A) = bfalse. % 0.72/1.12 87 (wt=5) [] step(nil4,A) = nil4. % 0.72/1.12 88 (wt=5) [] step(eps,A) = nil4. % 0.72/1.12 92 (wt=5) [back_demod(80),demod([89])] rec(nil4,nil2) = bfalse. % 0.72/1.12 96 (wt=5) [back_demod(76),demod([89])] rec(eps,nil2) = btrue. % 0.72/1.12 101 (wt=5) [] reck2(nil4,A) = bfalse. % 0.72/1.12 102 (wt=5) [] reck2(eps,nil2) = btrue. % 0.72/1.12 112 (wt=5) [] eq(a,b) = bfalse. % 0.72/1.12 113 (wt=5) [] eq(a,c) = bfalse. % 0.72/1.12 114 (wt=5) [] eq(b,a) = bfalse. % 0.72/1.12 115 (wt=5) [] eq(b,c) = bfalse. % 0.72/1.12 116 (wt=5) [] eq(c,a) = bfalse. % 0.72/1.12 117 (wt=5) [] eq(c,b) = bfalse. % 0.72/1.12 118 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.72/1.12 119 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.72/1.12 120 (wt=5) [] eq(A,A) = btrue. % 0.72/1.12 121 (wt=5) [] eq2(A,A) = btrue. % 0.72/1.12 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.72/1.12 2 (wt=6) [] aux(A,B,bfalse) = nil4. % 0.72/1.12 9 (wt=6) [] z(atom(A),nil4) = nil4. % 0.72/1.12 27 (wt=6) [] z(star(A),nil4) = nil4. % 0.72/1.12 89 (wt=6) [flip(1)] eps2(A) = rec(A,nil2). % 0.72/1.12 91 (wt=6) [back_demod(81),demod([89])] rec(atom(A),nil2) = bfalse. % 0.72/1.12 93 (wt=6) [back_demod(79),demod([89])] rec(star(A),nil2) = btrue. % 0.72/1.12 98 (wt=6) [] reck(A,B,nil) = nil3. % 0.72/1.12 104 (wt=6) [] reck2(atom(A),nil2) = bfalse. % 0.72/1.12 109 (wt=6) [] reck2(star(A),nil2) = btrue. % 0.72/1.12 6 (wt=7) [] aux3(A,B,C,bfalse) = bfalse. % 0.72/1.12 10 (wt=7) [] z(atom(A),eps) = atom(A). % 0.72/1.12 15 (wt=7) [] z(x(A,B),nil4) = nil4. % 0.72/1.12 21 (wt=7) [] z(y(A,B),nil4) = nil4. % 0.72/1.12 28 (wt=7) [] z(star(A),eps) = star(A). % 0.72/1.12 35 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.72/1.12 40 (wt=7) [] x2(atom(A),nil4) = atom(A). % 0.72/1.12 58 (wt=7) [] x2(star(A),nil4) = star(A). % 0.72/1.12 103 (wt=7) [] reck2(eps,cons2(A,B)) = bfalse. % 0.72/1.12 66 (wt=8) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 0.72/1.12 16 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.72/1.12 22 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.72/1.12 36 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.72/1.12 39 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.72/1.12 41 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.72/1.12 46 (wt=9) [] x2(x(A,B),nil4) = x(A,B). % 0.72/1.12 52 (wt=9) [] x2(y(A,B),nil4) = y(A,B). % 0.72/1.12 59 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 0.72/1.12 71 (wt=9) [] or2(cons3(A,B)) = orb(A,or2(B)). % 0.72/1.12 105 (wt=10) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 0.72/1.12 106 (wt=10) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 0.72/1.12 11 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.72/1.12 14 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.72/1.12 29 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.72/1.12 32 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.72/1.12 37 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.72/1.12 38 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.72/1.12 42 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.72/1.12 45 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.72/1.12 47 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.72/1.12 53 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.72/1.12 60 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.72/1.12 63 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.72/1.12 82 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.72/1.12 86 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 0.72/1.12 97 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons2(B,C)). % 0.72/1.12 108 (wt=12) [flip(1)] or2(reck(A,B,splits2(C))) = reck2(y(A,B),C). % 0.72/1.12 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil4) = aux2(B,A,C,bfalse). % 0.72/1.12 12 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.72/1.12 13 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.72/1.12 17 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.72/1.12 20 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.72/1.12 23 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.72/1.12 26 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.72/1.12 30 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.72/1.12 31 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.72/1.12 43 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.72/1.12 44 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.72/1.12 48 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.72/1.12 51 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.72/1.12 54 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.72/1.12 57 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.72/1.12 61 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.72/1.12 62 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.72/1.12 83 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 0.72/1.12 90 (wt=13) [back_demod(85),demod([89]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil2)). % 0.72/1.12 94 (wt=13) [back_demod(78),demod([89,89,89])] rec(y(A,B),nil2) = andb(rec(A,nil2),rec(B,nil2)). % 0.72/1.12 95 (wt=13) [back_demod(77),demod([89,89,89])] rec(x(A,B),nil2) = orb(rec(A,nil2),rec(B,nil2)). % 0.72/1.12 107 (wt=13) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 0.72/1.12 5 (wt=14) [flip(1)] rec(y(A,star(A)),cons2(B,C)) = aux3(A,B,C,btrue). % 0.72/1.12 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.72/1.12 18 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.72/1.12 19 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.72/1.12 24 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.72/1.12 25 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.72/1.12 49 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.72/1.12 50 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.72/1.12 55 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.72/1.12 56 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.72/1.12 67 (wt=15) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 0.72/1.12 110 (wt=15) [demod([89])] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(rec(A,nil2))). % 0.72/1.12 111 (wt=15) [] prop_kfind2(A) = notb(reck2(A,cons2(a,cons2(b,cons2(a,cons2(b,nil2)))))). % 0.72/1.12 122 (wt=16) [demod([111])] -(eq2(notb(reck2(A,cons2(a,cons2(b,cons2(a,cons2(b,nil2)))))),bfalse) = btrue). % 0.72/1.12 65 (wt=17) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 0.72/1.12 99 (wt=21) [] reck(A,B,cons(pair2(C,D),E)) = cons3(andb(reck2(A,C),rec(B,D)),reck(A,B,E)). % 0.72/1.12 100 (wt=21) [flip(99)] cons3(andb(reck2(A,B),rec(C,D)),reck(A,C,E)) = reck(A,C,cons(pair2(B,D),E)). % 0.72/1.12 end_of_list. % 0.72/1.12 % 0.72/1.12 Demodulators: % 0.72/1.12 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.72/1.12 2 (wt=6) [] aux(A,B,bfalse) = nil4. % 0.72/1.12 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.72/1.12 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil4) = aux2(B,A,C,bfalse). % 0.72/1.12 5 (wt=14) [flip(1)] rec(y(A,star(A)),cons2(B,C)) = aux3(A,B,C,btrue). % 0.72/1.12 6 (wt=7) [] aux3(A,B,C,bfalse) = bfalse. % 0.72/1.12 7 (wt=5) [] z(nil4,A) = nil4. % 0.72/1.12 8 (wt=5) [] z(eps,A) = A. % 0.72/1.12 9 (wt=6) [] z(atom(A),nil4) = nil4. % 0.72/1.12 10 (wt=7) [] z(atom(A),eps) = atom(A). % 0.72/1.12 11 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.72/1.12 12 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.72/1.12 13 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.72/1.12 14 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.72/1.12 15 (wt=7) [] z(x(A,B),nil4) = nil4. % 0.72/1.12 16 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.72/1.12 17 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.72/1.12 18 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.72/1.12 19 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.72/1.12 20 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.72/1.12 21 (wt=7) [] z(y(A,B),nil4) = nil4. % 0.72/1.12 22 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.72/1.12 23 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.72/1.12 24 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.72/1.12 25 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.72/1.12 26 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.72/1.12 27 (wt=6) [] z(star(A),nil4) = nil4. % 0.72/1.12 28 (wt=7) [] z(star(A),eps) = star(A). % 0.72/1.12 29 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.72/1.12 30 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.72/1.12 31 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.72/1.12 32 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.72/1.12 33 (wt=5) [] x2(nil4,A) = A. % 0.72/1.12 34 (wt=5) [] x2(eps,nil4) = eps. % 0.72/1.12 35 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.72/1.12 36 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.72/1.12 37 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.72/1.12 38 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.72/1.12 39 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.72/1.12 40 (wt=7) [] x2(atom(A),nil4) = atom(A). % 0.72/1.12 41 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.72/1.12 42 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.72/1.12 43 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.72/1.12 44 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.72/1.12 45 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.72/1.12 46 (wt=9) [] x2(x(A,B),nil4) = x(A,B). % 0.72/1.12 47 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 19.84/20.21 48 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 19.84/20.21 49 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 19.84/20.21 50 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 19.84/20.21 51 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 19.84/20.21 52 (wt=9) [] x2(y(A,B),nil4) = y(A,B). % 19.84/20.21 53 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 19.84/20.21 54 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 19.84/20.21 55 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 19.84/20.21 56 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 19.84/20.21 57 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 19.84/20.21 58 (wt=7) [] x2(star(A),nil4) = star(A). % 19.84/20.21 59 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 19.84/20.21 60 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 19.84/20.21 61 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 19.84/20.21 62 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 19.84/20.21 63 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 19.84/20.21 64 (wt=5) [] splits(A,nil) = nil. % 19.84/20.21 65 (wt=17) [] splits(A,cons(pair2(B,C),D)) = cons(pair2(cons2(A,B),C),splits(A,D)). % 19.84/20.21 66 (wt=8) [] splits2(nil2) = cons(pair2(nil2,nil2),nil). % 19.84/20.21 67 (wt=15) [] splits2(cons2(A,B)) = cons(pair2(nil2,cons2(A,B)),splits(A,splits2(B))). % 19.84/20.21 68 (wt=5) [] orb(btrue,A) = btrue. % 19.84/20.21 69 (wt=5) [] orb(bfalse,A) = A. % 19.84/20.21 70 (wt=4) [] or2(nil3) = bfalse. % 19.84/20.21 71 (wt=9) [] or2(cons3(A,B)) = orb(A,or2(B)). % 19.84/20.21 72 (wt=4) [] notb(btrue) = bfalse. % 19.84/20.21 73 (wt=4) [] notb(bfalse) = btrue. % 19.84/20.21 74 (wt=5) [] andb(btrue,A) = A. % 19.84/20.21 75 (wt=5) [] andb(bfalse,A) = bfalse. % 19.84/20.21 82 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 19.84/20.21 83 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 19.84/20.21 86 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 19.84/20.21 87 (wt=5) [] step(nil4,A) = nil4. % 19.84/20.21 88 (wt=5) [] step(eps,A) = nil4. % 19.84/20.21 89 (wt=6) [flip(1)] eps2(A) = rec(A,nil2). % 19.84/20.21 90 (wt=13) [back_demod(85),demod([89]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil2)). % 19.84/20.21 91 (wt=6) [back_demod(81),demod([89])] rec(atom(A),nil2) = bfalse. % 19.84/20.21 92 (wt=5) [back_demod(80),demod([89])] rec(nil4,nil2) = bfalse. % 19.84/20.21 93 (wt=6) [back_demod(79),demod([89])] rec(star(A),nil2) = btrue. % 19.84/20.21 94 (wt=13) [back_demod(78),demod([89,89,89])] rec(y(A,B),nil2) = andb(rec(A,nil2),rec(B,nil2)). % 19.84/20.21 95 (wt=13) [back_demod(77),demod([89,89,89])] rec(x(A,B),nil2) = orb(rec(A,nil2),rec(B,nil2)). % 19.84/20.21 96 (wt=5) [back_demod(76),demod([89])] rec(eps,nil2) = btrue. % 19.84/20.21 97 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons2(B,C)). % 19.84/20.21 98 (wt=6) [] reck(A,B,nil) = nil3. % 19.84/20.21 101 (wt=5) [] reck2(nil4,A) = bfalse. % 19.84/20.21 102 (wt=5) [] reck2(eps,nil2) = btrue. % 19.84/20.21 103 (wt=7) [] reck2(eps,cons2(A,B)) = bfalse. % 19.84/20.21 104 (wt=6) [] reck2(atom(A),nil2) = bfalse. % 19.84/20.21 105 (wt=10) [] reck2(atom(A),cons2(B,nil2)) = eq(A,B). % 19.84/20.21 106 (wt=10) [] reck2(atom(A),cons2(B,cons2(C,D))) = bfalse. % 19.84/20.21 107 (wt=13) [] reck2(x(A,B),C) = orb(reck2(A,C),reck2(B,C)). % 19.84/20.21 108 (wt=12) [flip(1)] or2(reck(A,B,splits2(C))) = reck2(y(A,B),C). % 19.84/20.21 109 (wt=6) [] reck2(star(A),nil2) = btrue. % 19.84/20.21 110 (wt=15) [demod([89])] reck2(star(A),cons2(B,C)) = aux3(A,B,C,notb(rec(A,nil2))). % 19.84/20.21 111 (wt=15) [] prop_kfind2(A) = notb(reck2(A,cons2(a,cons2(b,cons2(a,cons2(b,nil2)))))). % 19.84/20.21 112 (wt=5) [] eq(a,b) = bfalse. % 19.84/20.21 113 (wt=5) [] eq(a,c) = bfalse. % 19.84/20.21 114 (wt=5) [] eq(b,a) = bfalse. % 19.84/20.21 115 (wt=5) [] eq(b,c) = bfalse. % 19.84/20.21 116 (wt=5) [] eq(c,a) = bfalse. % 19.84/20.21 117 (wt=5) [] eq(c,b) = bfalse. % 19.84/20.21 118 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 19.84/20.21 119 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 19.84/20.21 120 (wt=5) [] eq(A,A) = btrue. % 19.84/20.21 121 (wt=5) [] eq2(A,A) = btrue. % 19.84/20.21 end_of_list. % 19.84/20.21 % 19.84/20.21 Passive: % 19.84/20.21 end_of_list. % 19.84/20.21 % 19.84/20.21 ------------- memory usage ------------ % 19.84/20.21 Memory dynamically allocated (tp_alloc): 63964. % 19.84/20.21 type (bytes each) gets frees in use avail bytes % 19.84/20.21 sym_ent ( 96) 106 0 106 0 9.9 K % 19.84/20.21 term ( 16) 5108417 4141003 967414 1 18753.1 K % 19.84/20.21 gen_ptr ( 8) 4748626 570188 4178438 0 32644.0 K % 19.84/20.21 context ( 808) 26588928 26588926 2 8 7.9 K % 19.84/20.21 trail ( 12) 25397 25397 0 8 0.1 K % 19.84/20.21 bt_node ( 68) 12724281 12724278 3 19 1.5 K % 19.84/20.21 ac_position (285432) 0 0 0 0 0.0 K % 19.84/20.21 ac_match_pos (14044) 0 0 0 0 0.0 K % 19.84/20.21 ac_match_free_vars_pos (4020) % 19.84/20.21 0 0 0 0 0.0 K % 19.84/20.21 discrim ( 12) 628285 24138 604147 0 7079.8 K % 19.84/20.21 flat ( 40) 1147271 % 19.84/20.21 % 19.84/20.21 ********** ABNORMAL END ********** % 19.84/20.21 ********** in tp_alloc, max_mem parameter exceeded. % 19.84/20.21 8 11472718 0 66 2.6 K % 19.84/20.21 discrim_pos ( 12) 189220 189220 0 1 0.0 K % 19.84/20.21 fpa_head ( 12) 49975 0 49975 0 585.6 K % 19.84/20.21 fpa_tree ( 28) 76956 76956 0 25 0.7 K % 19.84/20.21 fpa_pos ( 36) 45512 45512 0 1 0.0 K % 19.84/20.21 literal ( 12) 254081 217806 36275 0 425.1 K % 19.84/20.21 clause ( 24) 254081 217806 36275 0 850.2 K % 19.84/20.21 list ( 12) 9297 9241 56 4 0.7 K % 19.84/20.21 list_pos ( 20) 121809 8213 113596 0 2218.7 K % 19.84/20.21 pair_index ( 40) 2 0 2 0 0.1 K % 19.84/20.21 % 19.84/20.21 -------------- statistics ------------- % 19.84/20.21 Clauses input 113 % 19.84/20.21 Usable input 0 % 19.84/20.21 Sos input 113 % 19.84/20.21 Demodulators input 0 % 19.84/20.21 Passive input 0 % 19.84/20.21 % 19.84/20.21 Processed BS (before search) 125 % 19.84/20.21 Forward subsumed BS 3 % 19.84/20.21 Kept BS 122 % 19.84/20.21 New demodulators BS 117 % 19.84/20.21 Back demodulated BS 8 % 19.84/20.21 % 19.84/20.21 Clauses or pairs given 1827610 % 19.84/20.21 Clauses generated 125852 % 19.84/20.21 Forward subsumed 89700 % 19.84/20.21 Deleted by weight 0 % 19.84/20.21 Deleted by variable count 0 % 19.84/20.21 Kept 36152 % 19.84/20.21 New demodulators 9121 % 19.84/20.21 Back demodulated 1800 % 19.84/20.21 Ordered paramod prunes 0 % 19.84/20.21 Basic paramod prunes 6169748 % 19.84/20.21 Prime paramod prunes 2 % 19.84/20.21 Semantic prunes 0 % 19.84/20.21 % 19.84/20.21 Rewrite attmepts 2788727 % 19.84/20.21 Rewrites 133654 % 19.84/20.21 % 19.84/20.21 FPA overloads 0 % 19.84/20.21 FPA underloads 0 % 19.84/20.21 % 19.84/20.21 Usable size 0 % 19.84/20.21 Sos size 34466 % 19.84/20.21 Demodulators size 8390 % 19.84/20.21 Passive size 0 % 19.84/20.21 Disabled size 1808 % 19.84/20.21 % 19.84/20.21 Proofs found 0 % 19.84/20.21 % 19.84/20.21 ----------- times (seconds) ----------- Tue May 5 13:10:28 2026 % 19.84/20.21 % 19.84/20.21 user CPU time 13.60 (0 hr, 0 min, 13 sec) % 19.84/20.21 system CPU time 5.49 (0 hr, 0 min, 5 sec) % 19.84/20.21 wall-clock time 19 (0 hr, 0 min, 19 sec) % 19.84/20.21 input time 0.00 % 19.84/20.21 paramodulation time 1.62 % 19.84/20.21 demodulation time 0.38 % 19.84/20.21 orient time 0.22 % 19.84/20.21 weigh time 0.05 % 19.84/20.21 forward subsume time 0.12 % 19.84/20.21 back demod find time 0.11 % 19.84/20.21 conflict time 0.03 % 19.84/20.21 LRPO time 0.11 % 19.84/20.21 store clause time 8.69 % 19.84/20.21 disable clause time 0.43 % 19.84/20.21 prime paramod time 0.11 % 19.84/20.21 semantics time 0.00 % 19.84/20.21 % 19.84/20.21 EQP interrupted %------------------------------------------------------------------------------