%------------------------------------------------------------------------------ % File : EQP---0.9e % Problem : SWX215-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_eqp %s % Computer : n010.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 07:00:11 PM UTC 2026 % Result : Unknown 21.42s 21.85s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX215-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : tptp2X_and_run_eqp %s % 0.15/0.33 % Computer : n010.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 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue May 5 12:09:51 EDT 2026 % 0.15/0.34 % CPUTime : % 0.71/1.11 ----- EQP 0.9e, May 2009 ----- % 0.71/1.11 The job began on n010.cluster.edu, Tue May 5 12:09:51 2026 % 0.71/1.11 The command was "./eqp09e". % 0.71/1.11 % 0.71/1.11 set(prolog_style_variables). % 0.71/1.11 set(lrpo). % 0.71/1.11 set(basic_paramod). % 0.71/1.11 set(functional_subsume). % 0.71/1.11 set(ordered_paramod). % 0.71/1.11 set(prime_paramod). % 0.71/1.11 set(para_pairs). % 0.71/1.11 assign(pick_given_ratio,4). % 0.71/1.11 clear(print_kept). % 0.71/1.11 clear(print_new_demod). % 0.71/1.11 clear(print_back_demod). % 0.71/1.11 clear(print_given). % 0.71/1.11 assign(max_mem,64000). % 0.71/1.11 end_of_commands. % 0.71/1.11 % 0.71/1.11 Usable: % 0.71/1.11 end_of_list. % 0.71/1.11 % 0.71/1.11 Sos: % 0.71/1.11 0 (wt=-1) [] aux(A,B,btrue) = eps. % 0.71/1.11 0 (wt=-1) [] aux(A,B,bfalse) = nil2. % 0.71/1.11 0 (wt=-1) [] aux2(A,B,C,btrue) = x(y(step(B,A),C),step(C,A)). % 0.71/1.11 0 (wt=-1) [] aux2(A,B,C,bfalse) = x(y(step(B,A),C),nil2). % 0.71/1.11 0 (wt=-1) [] z(nil2,A) = nil2. % 0.71/1.11 0 (wt=-1) [] z(eps,A) = A. % 0.71/1.11 0 (wt=-1) [] z(atom(A),nil2) = nil2. % 0.71/1.11 0 (wt=-1) [] z(atom(A),eps) = atom(A). % 0.71/1.11 0 (wt=-1) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.71/1.11 0 (wt=-1) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.71/1.11 0 (wt=-1) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.71/1.11 0 (wt=-1) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.71/1.11 0 (wt=-1) [] z(x(A,B),nil2) = nil2. % 0.71/1.11 0 (wt=-1) [] z(x(A,B),eps) = x(A,B). % 0.71/1.11 0 (wt=-1) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.71/1.11 0 (wt=-1) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.71/1.11 0 (wt=-1) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.71/1.11 0 (wt=-1) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.71/1.11 0 (wt=-1) [] z(y(A,B),nil2) = nil2. % 0.71/1.11 0 (wt=-1) [] z(y(A,B),eps) = y(A,B). % 0.71/1.11 0 (wt=-1) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.71/1.11 0 (wt=-1) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.71/1.11 0 (wt=-1) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.71/1.11 0 (wt=-1) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.71/1.11 0 (wt=-1) [] z(star(A),nil2) = nil2. % 0.71/1.11 0 (wt=-1) [] z(star(A),eps) = star(A). % 0.71/1.11 0 (wt=-1) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.71/1.11 0 (wt=-1) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.71/1.11 0 (wt=-1) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.71/1.11 0 (wt=-1) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.71/1.11 0 (wt=-1) [] x2(nil2,A) = A. % 0.71/1.11 0 (wt=-1) [] x2(eps,nil2) = eps. % 0.71/1.11 0 (wt=-1) [] x2(eps,eps) = x(eps,eps). % 0.71/1.11 0 (wt=-1) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.71/1.11 0 (wt=-1) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.71/1.11 0 (wt=-1) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.71/1.11 0 (wt=-1) [] x2(eps,star(A)) = x(eps,star(A)). % 0.71/1.11 0 (wt=-1) [] x2(atom(A),nil2) = atom(A). % 0.71/1.11 0 (wt=-1) [] x2(atom(A),eps) = x(atom(A),eps). % 0.71/1.11 0 (wt=-1) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.71/1.11 0 (wt=-1) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.71/1.11 0 (wt=-1) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.71/1.11 0 (wt=-1) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.71/1.11 0 (wt=-1) [] x2(x(A,B),nil2) = x(A,B). % 0.71/1.11 0 (wt=-1) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.71/1.11 0 (wt=-1) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.71/1.11 0 (wt=-1) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.71/1.11 0 (wt=-1) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.71/1.11 0 (wt=-1) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.71/1.11 0 (wt=-1) [] x2(y(A,B),nil2) = y(A,B). % 0.71/1.11 0 (wt=-1) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.71/1.11 0 (wt=-1) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.71/1.11 0 (wt=-1) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.71/1.11 0 (wt=-1) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.71/1.11 0 (wt=-1) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.71/1.11 0 (wt=-1) [] x2(star(A),nil2) = star(A). % 0.71/1.11 0 (wt=-1) [] x2(star(A),eps) = x(star(A),eps). % 0.71/1.11 0 (wt=-1) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.71/1.11 0 (wt=-1) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.71/1.11 0 (wt=-1) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.71/1.11 0 (wt=-1) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.71/1.11 0 (wt=-1) [] orb(btrue,A) = btrue. % 0.71/1.11 0 (wt=-1) [] orb(bfalse,A) = A. % 0.71/1.11 0 (wt=-1) [] impl(btrue,A) = A. % 0.71/1.11 0 (wt=-1) [] impl(bfalse,A) = btrue. % 0.71/1.11 0 (wt=-1) [] andb(btrue,A) = A. % 0.71/1.11 0 (wt=-1) [] andb(bfalse,A) = bfalse. % 0.71/1.11 0 (wt=-1) [] eps2(eps) = btrue. % 0.71/1.11 0 (wt=-1) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)). % 0.71/1.11 0 (wt=-1) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)). % 0.71/1.11 0 (wt=-1) [] eps2(star(A)) = btrue. % 0.71/1.11 0 (wt=-1) [] eps2(nil2) = bfalse. % 0.71/1.11 0 (wt=-1) [] eps2(atom(A)) = bfalse. % 0.71/1.11 0 (wt=-1) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.71/1.11 0 (wt=-1) [] step(x(A,B),C) = x(step(A,C),step(B,C)). % 0.71/1.11 0 (wt=-1) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)). % 0.71/1.11 0 (wt=-1) [] step(star(A),B) = y(step(A,B),star(A)). % 0.71/1.11 0 (wt=-1) [] step(nil2,A) = nil2. % 0.71/1.11 0 (wt=-1) [] step(eps,A) = nil2. % 0.71/1.11 0 (wt=-1) [] rec(A,nil) = eps2(A). % 0.71/1.11 0 (wt=-1) [] rec(A,cons(B,C)) = rec(step(A,B),C). % 0.71/1.11 0 (wt=-1) [] prop_star_plus_easy_2(A,B,C,D) = impl(eq2(rec(x(star(A),star(B)),cons(C,cons(D,nil))),btrue),eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),btrue)). % 0.71/1.11 0 (wt=-1) [] eq(a,b) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq(a,c) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq(b,a) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq(b,c) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq(c,a) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq(c,b) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq2(bfalse,btrue) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq2(btrue,bfalse) = bfalse. % 0.71/1.11 0 (wt=-1) [] eq(A,A) = btrue. % 0.71/1.11 0 (wt=-1) [] eq2(A,A) = btrue. % 0.71/1.11 0 (wt=-1) [] -(eq2(prop_star_plus_easy_2(A,B,C,D),bfalse) = btrue). % 0.71/1.11 end_of_list. % 0.71/1.11 % 0.71/1.11 Demodulators: % 0.71/1.11 end_of_list. % 0.71/1.11 % 0.71/1.11 Passive: % 0.71/1.11 end_of_list. % 0.71/1.11 % 0.71/1.11 Starting to process input. % 0.71/1.11 % 0.71/1.11 ** KEPT: 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.71/1.11 1 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 2 (wt=6) [] aux(A,B,bfalse) = nil2. % 0.71/1.11 2 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.71/1.11 3 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil2) = aux2(B,A,C,bfalse). % 0.71/1.11 4 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 5 (wt=5) [] z(nil2,A) = nil2. % 0.71/1.11 5 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 6 (wt=5) [] z(eps,A) = A. % 0.71/1.11 6 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 7 (wt=6) [] z(atom(A),nil2) = nil2. % 0.71/1.11 7 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 8 (wt=7) [] z(atom(A),eps) = atom(A). % 0.71/1.11 8 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 9 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.71/1.11 9 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 10 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.71/1.11 10 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 11 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.71/1.11 11 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 12 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.71/1.11 12 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 13 (wt=7) [] z(x(A,B),nil2) = nil2. % 0.71/1.11 13 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 14 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.71/1.11 14 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 15 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.71/1.11 15 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 16 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.71/1.11 16 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 17 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.71/1.11 17 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 18 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.71/1.11 18 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 19 (wt=7) [] z(y(A,B),nil2) = nil2. % 0.71/1.11 19 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 20 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.71/1.11 20 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 21 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.71/1.11 21 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 22 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.71/1.11 22 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 23 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.71/1.11 23 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 24 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.71/1.11 24 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 25 (wt=6) [] z(star(A),nil2) = nil2. % 0.71/1.11 25 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 26 (wt=7) [] z(star(A),eps) = star(A). % 0.71/1.11 26 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 27 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.71/1.11 27 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 28 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.71/1.11 28 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 29 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.71/1.11 29 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 30 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.71/1.11 30 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 31 (wt=5) [] x2(nil2,A) = A. % 0.71/1.11 31 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 32 (wt=5) [] x2(eps,nil2) = eps. % 0.71/1.11 32 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 33 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.71/1.11 33 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 34 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.71/1.11 34 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 35 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.71/1.11 35 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 36 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.71/1.11 36 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 37 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.71/1.11 37 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 38 (wt=7) [] x2(atom(A),nil2) = atom(A). % 0.71/1.11 38 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 39 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.71/1.11 39 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 40 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.71/1.11 40 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 41 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.71/1.11 41 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 42 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.71/1.11 42 is a new demodulator. % 0.71/1.11 % 0.71/1.11 ** KEPT: 43 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.71/1.12 43 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 44 (wt=9) [] x2(x(A,B),nil2) = x(A,B). % 0.71/1.12 44 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 45 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.71/1.12 45 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 46 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.71/1.12 46 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 47 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.71/1.12 47 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 48 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.71/1.12 48 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 49 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.71/1.12 49 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 50 (wt=9) [] x2(y(A,B),nil2) = y(A,B). % 0.71/1.12 50 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 51 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.71/1.12 51 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 52 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.71/1.12 52 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 53 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.71/1.12 53 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 54 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.71/1.12 54 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 55 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.71/1.12 55 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 56 (wt=7) [] x2(star(A),nil2) = star(A). % 0.71/1.12 56 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 57 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 0.71/1.12 57 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 58 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.71/1.12 58 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 59 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.71/1.12 59 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 60 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.71/1.12 60 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 61 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.71/1.12 61 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 62 (wt=5) [] orb(btrue,A) = btrue. % 0.71/1.12 62 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 63 (wt=5) [] orb(bfalse,A) = A. % 0.71/1.12 63 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 64 (wt=5) [] impl(btrue,A) = A. % 0.71/1.12 64 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 65 (wt=5) [] impl(bfalse,A) = btrue. % 0.71/1.12 65 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 66 (wt=5) [] andb(btrue,A) = A. % 0.71/1.12 66 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 67 (wt=5) [] andb(bfalse,A) = bfalse. % 0.71/1.12 67 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 68 (wt=4) [] eps2(eps) = btrue. % 0.71/1.12 68 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 69 (wt=10) [] eps2(x(A,B)) = orb(eps2(A),eps2(B)). % 0.71/1.12 69 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 70 (wt=10) [] eps2(y(A,B)) = andb(eps2(A),eps2(B)). % 0.71/1.12 70 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 71 (wt=5) [] eps2(star(A)) = btrue. % 0.71/1.12 71 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 72 (wt=4) [] eps2(nil2) = bfalse. % 0.71/1.12 72 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 73 (wt=5) [] eps2(atom(A)) = bfalse. % 0.71/1.12 73 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 74 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.71/1.12 74 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 75 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 0.71/1.12 75 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 76 (wt=12) [] step(y(A,B),C) = aux2(C,A,B,eps2(A)). % 0.71/1.12 % 0.71/1.12 ** KEPT: 77 (wt=12) [flip(76)] aux2(A,B,C,eps2(B)) = step(y(B,C),A). % 0.71/1.12 clause forward subsumed: 0 (wt=12) [flip(77)] step(y(B,C),A) = aux2(A,B,C,eps2(B)). % 0.71/1.12 % 0.71/1.12 ** KEPT: 78 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 0.71/1.12 78 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 79 (wt=5) [] step(nil2,A) = nil2. % 0.71/1.12 79 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 80 (wt=5) [] step(eps,A) = nil2. % 0.71/1.12 80 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 81 (wt=6) [flip(1)] eps2(A) = rec(A,nil). % 0.71/1.12 81 is a new demodulator. % 0.71/1.12 -> 81 back demodulating 77. % 0.71/1.12 % 0.71/1.12 ** KEPT: 82 (wt=13) [back_demod(77),demod([81]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil)). % 0.71/1.12 82 is a new demodulator. % 0.71/1.12 -> 82 back demodulating 76. % 0.71/1.12 clause forward subsumed: 0 (wt=15) [back_demod(76),demod([82,81])] aux2(C,A,B,rec(A,nil)) = aux2(C,A,B,rec(A,nil)). % 0.71/1.12 -> 81 back demodulating 73. % 0.71/1.12 % 0.71/1.12 ** KEPT: 83 (wt=6) [back_demod(73),demod([81])] rec(atom(A),nil) = bfalse. % 0.71/1.12 83 is a new demodulator. % 0.71/1.12 -> 81 back demodulating 72. % 0.71/1.12 % 0.71/1.12 ** KEPT: 84 (wt=5) [back_demod(72),demod([81])] rec(nil2,nil) = bfalse. % 0.71/1.12 84 is a new demodulator. % 0.71/1.12 -> 81 back demodulating 71. % 0.71/1.12 % 0.71/1.12 ** KEPT: 85 (wt=6) [back_demod(71),demod([81])] rec(star(A),nil) = btrue. % 0.71/1.12 85 is a new demodulator. % 0.71/1.12 -> 81 back demodulating 70. % 0.71/1.12 % 0.71/1.12 ** KEPT: 86 (wt=13) [back_demod(70),demod([81,81,81])] rec(y(A,B),nil) = andb(rec(A,nil),rec(B,nil)). % 0.71/1.12 86 is a new demodulator. % 0.71/1.12 -> 81 back demodulating 69. % 0.71/1.12 % 0.71/1.12 ** KEPT: 87 (wt=13) [back_demod(69),demod([81,81,81])] rec(x(A,B),nil) = orb(rec(A,nil),rec(B,nil)). % 0.71/1.12 87 is a new demodulator. % 0.71/1.12 -> 81 back demodulating 68. % 0.71/1.12 % 0.71/1.12 ** KEPT: 88 (wt=5) [back_demod(68),demod([81])] rec(eps,nil) = btrue. % 0.71/1.12 88 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 89 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons(B,C)). % 0.71/1.12 89 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 90 (wt=32) [flip(1)] impl(eq2(rec(x(star(A),star(B)),cons(C,cons(D,nil))),btrue),eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),btrue)) = prop_star_plus_easy_2(A,B,C,D). % 0.71/1.12 90 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 91 (wt=5) [] eq(a,b) = bfalse. % 0.71/1.12 91 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 92 (wt=5) [] eq(a,c) = bfalse. % 0.71/1.12 92 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 93 (wt=5) [] eq(b,a) = bfalse. % 0.71/1.12 93 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 94 (wt=5) [] eq(b,c) = bfalse. % 0.71/1.12 94 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 95 (wt=5) [] eq(c,a) = bfalse. % 0.71/1.12 95 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 96 (wt=5) [] eq(c,b) = bfalse. % 0.71/1.12 96 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 97 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.71/1.12 97 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 98 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.71/1.12 98 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 99 (wt=5) [] eq(A,A) = btrue. % 0.71/1.12 99 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 100 (wt=5) [] eq2(A,A) = btrue. % 0.71/1.12 100 is a new demodulator. % 0.71/1.12 % 0.71/1.12 ** KEPT: 101 (wt=9) [] -(eq2(prop_star_plus_easy_2(A,B,C,D),bfalse) = btrue). % 0.71/1.12 % 0.71/1.12 After processing input: % 0.71/1.12 % 0.71/1.12 Usable: % 0.71/1.12 end_of_list. % 0.71/1.12 % 0.71/1.12 Sos: % 0.71/1.12 5 (wt=5) [] z(nil2,A) = nil2. % 0.71/1.12 6 (wt=5) [] z(eps,A) = A. % 0.71/1.12 31 (wt=5) [] x2(nil2,A) = A. % 0.71/1.12 32 (wt=5) [] x2(eps,nil2) = eps. % 0.71/1.12 62 (wt=5) [] orb(btrue,A) = btrue. % 0.71/1.12 63 (wt=5) [] orb(bfalse,A) = A. % 0.71/1.12 64 (wt=5) [] impl(btrue,A) = A. % 0.71/1.12 65 (wt=5) [] impl(bfalse,A) = btrue. % 0.71/1.12 66 (wt=5) [] andb(btrue,A) = A. % 0.71/1.12 67 (wt=5) [] andb(bfalse,A) = bfalse. % 0.71/1.12 79 (wt=5) [] step(nil2,A) = nil2. % 0.71/1.12 80 (wt=5) [] step(eps,A) = nil2. % 0.71/1.12 84 (wt=5) [back_demod(72),demod([81])] rec(nil2,nil) = bfalse. % 0.71/1.12 88 (wt=5) [back_demod(68),demod([81])] rec(eps,nil) = btrue. % 0.71/1.12 91 (wt=5) [] eq(a,b) = bfalse. % 0.71/1.12 92 (wt=5) [] eq(a,c) = bfalse. % 0.71/1.12 93 (wt=5) [] eq(b,a) = bfalse. % 0.71/1.12 94 (wt=5) [] eq(b,c) = bfalse. % 0.71/1.12 95 (wt=5) [] eq(c,a) = bfalse. % 0.71/1.12 96 (wt=5) [] eq(c,b) = bfalse. % 0.71/1.12 97 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.71/1.12 98 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.71/1.12 99 (wt=5) [] eq(A,A) = btrue. % 0.71/1.12 100 (wt=5) [] eq2(A,A) = btrue. % 0.71/1.12 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.71/1.12 2 (wt=6) [] aux(A,B,bfalse) = nil2. % 0.71/1.12 7 (wt=6) [] z(atom(A),nil2) = nil2. % 0.71/1.12 25 (wt=6) [] z(star(A),nil2) = nil2. % 0.71/1.12 81 (wt=6) [flip(1)] eps2(A) = rec(A,nil). % 0.71/1.12 83 (wt=6) [back_demod(73),demod([81])] rec(atom(A),nil) = bfalse. % 0.71/1.12 85 (wt=6) [back_demod(71),demod([81])] rec(star(A),nil) = btrue. % 0.71/1.12 8 (wt=7) [] z(atom(A),eps) = atom(A). % 0.71/1.12 13 (wt=7) [] z(x(A,B),nil2) = nil2. % 0.71/1.12 19 (wt=7) [] z(y(A,B),nil2) = nil2. % 0.71/1.12 26 (wt=7) [] z(star(A),eps) = star(A). % 0.71/1.12 33 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.71/1.12 38 (wt=7) [] x2(atom(A),nil2) = atom(A). % 0.71/1.12 56 (wt=7) [] x2(star(A),nil2) = star(A). % 0.71/1.12 14 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.71/1.12 20 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.71/1.12 34 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.71/1.12 37 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.71/1.12 39 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.71/1.12 44 (wt=9) [] x2(x(A,B),nil2) = x(A,B). % 0.71/1.12 50 (wt=9) [] x2(y(A,B),nil2) = y(A,B). % 0.71/1.12 57 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 0.71/1.12 101 (wt=9) [] -(eq2(prop_star_plus_easy_2(A,B,C,D),bfalse) = btrue). % 0.71/1.12 9 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.71/1.12 12 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.71/1.12 27 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.71/1.12 30 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.71/1.12 35 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.71/1.12 36 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.71/1.12 40 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.71/1.12 43 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.71/1.12 45 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.71/1.12 51 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 0.71/1.12 58 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 0.71/1.12 61 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 0.71/1.12 74 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 0.71/1.12 78 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 0.71/1.12 89 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons(B,C)). % 0.71/1.12 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil2) = aux2(B,A,C,bfalse). % 0.71/1.12 10 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.71/1.12 11 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.71/1.12 15 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.71/1.12 18 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.71/1.12 21 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.71/1.12 24 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.71/1.12 28 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.71/1.12 29 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.71/1.12 41 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.71/1.12 42 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.71/1.12 46 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.71/1.12 49 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.71/1.12 52 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 0.71/1.12 55 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 0.71/1.12 59 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 0.71/1.12 60 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 0.71/1.12 75 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 0.71/1.12 82 (wt=13) [back_demod(77),demod([81]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil)). % 0.71/1.12 86 (wt=13) [back_demod(70),demod([81,81,81])] rec(y(A,B),nil) = andb(rec(A,nil),rec(B,nil)). % 0.71/1.12 87 (wt=13) [back_demod(69),demod([81,81,81])] rec(x(A,B),nil) = orb(rec(A,nil),rec(B,nil)). % 0.71/1.12 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.71/1.12 16 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.71/1.12 17 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.71/1.12 22 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.71/1.12 23 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.71/1.12 47 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.71/1.12 48 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.71/1.12 53 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 0.71/1.12 54 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 0.71/1.12 90 (wt=32) [flip(1)] impl(eq2(rec(x(star(A),star(B)),cons(C,cons(D,nil))),btrue),eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),btrue)) = prop_star_plus_easy_2(A,B,C,D). % 0.71/1.12 end_of_list. % 0.71/1.12 % 0.71/1.12 Demodulators: % 0.71/1.12 1 (wt=6) [] aux(A,B,btrue) = eps. % 0.71/1.12 2 (wt=6) [] aux(A,B,bfalse) = nil2. % 0.71/1.12 3 (wt=15) [flip(1)] x(y(step(A,B),C),step(C,B)) = aux2(B,A,C,btrue). % 0.71/1.12 4 (wt=13) [flip(1)] x(y(step(A,B),C),nil2) = aux2(B,A,C,bfalse). % 0.71/1.12 5 (wt=5) [] z(nil2,A) = nil2. % 0.71/1.12 6 (wt=5) [] z(eps,A) = A. % 0.71/1.12 7 (wt=6) [] z(atom(A),nil2) = nil2. % 0.71/1.12 8 (wt=7) [] z(atom(A),eps) = atom(A). % 0.71/1.12 9 (wt=11) [] z(atom(A),atom(B)) = y(atom(A),atom(B)). % 0.71/1.12 10 (wt=13) [] z(atom(A),x(B,C)) = y(atom(A),x(B,C)). % 0.71/1.12 11 (wt=13) [] z(atom(A),y(B,C)) = y(atom(A),y(B,C)). % 0.71/1.12 12 (wt=11) [] z(atom(A),star(B)) = y(atom(A),star(B)). % 0.71/1.12 13 (wt=7) [] z(x(A,B),nil2) = nil2. % 0.71/1.12 14 (wt=9) [] z(x(A,B),eps) = x(A,B). % 0.71/1.12 15 (wt=13) [] z(x(A,B),atom(C)) = y(x(A,B),atom(C)). % 0.71/1.12 16 (wt=15) [] z(x(A,B),x(C,D)) = y(x(A,B),x(C,D)). % 0.71/1.12 17 (wt=15) [] z(x(A,B),y(C,D)) = y(x(A,B),y(C,D)). % 0.71/1.12 18 (wt=13) [] z(x(A,B),star(C)) = y(x(A,B),star(C)). % 0.71/1.12 19 (wt=7) [] z(y(A,B),nil2) = nil2. % 0.71/1.12 20 (wt=9) [] z(y(A,B),eps) = y(A,B). % 0.71/1.12 21 (wt=13) [] z(y(A,B),atom(C)) = y(y(A,B),atom(C)). % 0.71/1.12 22 (wt=15) [] z(y(A,B),x(C,D)) = y(y(A,B),x(C,D)). % 0.71/1.12 23 (wt=15) [] z(y(A,B),y(C,D)) = y(y(A,B),y(C,D)). % 0.71/1.12 24 (wt=13) [] z(y(A,B),star(C)) = y(y(A,B),star(C)). % 0.71/1.12 25 (wt=6) [] z(star(A),nil2) = nil2. % 0.71/1.12 26 (wt=7) [] z(star(A),eps) = star(A). % 0.71/1.12 27 (wt=11) [] z(star(A),atom(B)) = y(star(A),atom(B)). % 0.71/1.12 28 (wt=13) [] z(star(A),x(B,C)) = y(star(A),x(B,C)). % 0.71/1.12 29 (wt=13) [] z(star(A),y(B,C)) = y(star(A),y(B,C)). % 0.71/1.12 30 (wt=11) [] z(star(A),star(B)) = y(star(A),star(B)). % 0.71/1.12 31 (wt=5) [] x2(nil2,A) = A. % 0.71/1.12 32 (wt=5) [] x2(eps,nil2) = eps. % 0.71/1.12 33 (wt=7) [] x2(eps,eps) = x(eps,eps). % 0.71/1.12 34 (wt=9) [] x2(eps,atom(A)) = x(eps,atom(A)). % 0.71/1.12 35 (wt=11) [] x2(eps,x(A,B)) = x(eps,x(A,B)). % 0.71/1.12 36 (wt=11) [] x2(eps,y(A,B)) = x(eps,y(A,B)). % 0.71/1.12 37 (wt=9) [] x2(eps,star(A)) = x(eps,star(A)). % 0.71/1.12 38 (wt=7) [] x2(atom(A),nil2) = atom(A). % 0.71/1.12 39 (wt=9) [] x2(atom(A),eps) = x(atom(A),eps). % 0.71/1.12 40 (wt=11) [] x2(atom(A),atom(B)) = x(atom(A),atom(B)). % 0.71/1.12 41 (wt=13) [] x2(atom(A),x(B,C)) = x(atom(A),x(B,C)). % 0.71/1.12 42 (wt=13) [] x2(atom(A),y(B,C)) = x(atom(A),y(B,C)). % 0.71/1.12 43 (wt=11) [] x2(atom(A),star(B)) = x(atom(A),star(B)). % 0.71/1.12 44 (wt=9) [] x2(x(A,B),nil2) = x(A,B). % 0.71/1.12 45 (wt=11) [] x2(x(A,B),eps) = x(x(A,B),eps). % 0.71/1.12 46 (wt=13) [] x2(x(A,B),atom(C)) = x(x(A,B),atom(C)). % 0.71/1.12 47 (wt=15) [] x2(x(A,B),x(C,D)) = x(x(A,B),x(C,D)). % 0.71/1.12 48 (wt=15) [] x2(x(A,B),y(C,D)) = x(x(A,B),y(C,D)). % 0.71/1.12 49 (wt=13) [] x2(x(A,B),star(C)) = x(x(A,B),star(C)). % 0.71/1.12 50 (wt=9) [] x2(y(A,B),nil2) = y(A,B). % 21.42/21.84 51 (wt=11) [] x2(y(A,B),eps) = x(y(A,B),eps). % 21.42/21.84 52 (wt=13) [] x2(y(A,B),atom(C)) = x(y(A,B),atom(C)). % 21.42/21.84 53 (wt=15) [] x2(y(A,B),x(C,D)) = x(y(A,B),x(C,D)). % 21.42/21.84 54 (wt=15) [] x2(y(A,B),y(C,D)) = x(y(A,B),y(C,D)). % 21.42/21.84 55 (wt=13) [] x2(y(A,B),star(C)) = x(y(A,B),star(C)). % 21.42/21.84 56 (wt=7) [] x2(star(A),nil2) = star(A). % 21.42/21.84 57 (wt=9) [] x2(star(A),eps) = x(star(A),eps). % 21.42/21.84 58 (wt=11) [] x2(star(A),atom(B)) = x(star(A),atom(B)). % 21.42/21.84 59 (wt=13) [] x2(star(A),x(B,C)) = x(star(A),x(B,C)). % 21.42/21.84 60 (wt=13) [] x2(star(A),y(B,C)) = x(star(A),y(B,C)). % 21.42/21.84 61 (wt=11) [] x2(star(A),star(B)) = x(star(A),star(B)). % 21.42/21.84 62 (wt=5) [] orb(btrue,A) = btrue. % 21.42/21.84 63 (wt=5) [] orb(bfalse,A) = A. % 21.42/21.84 64 (wt=5) [] impl(btrue,A) = A. % 21.42/21.84 65 (wt=5) [] impl(bfalse,A) = btrue. % 21.42/21.84 66 (wt=5) [] andb(btrue,A) = A. % 21.42/21.84 67 (wt=5) [] andb(bfalse,A) = bfalse. % 21.42/21.84 74 (wt=11) [] step(atom(A),B) = aux(B,A,eq(A,B)). % 21.42/21.84 75 (wt=13) [flip(1)] x(step(A,B),step(C,B)) = step(x(A,C),B). % 21.42/21.84 78 (wt=11) [flip(1)] y(step(A,B),star(A)) = step(star(A),B). % 21.42/21.84 79 (wt=5) [] step(nil2,A) = nil2. % 21.42/21.84 80 (wt=5) [] step(eps,A) = nil2. % 21.42/21.84 81 (wt=6) [flip(1)] eps2(A) = rec(A,nil). % 21.42/21.84 82 (wt=13) [back_demod(77),demod([81]),flip(1)] step(y(A,B),C) = aux2(C,A,B,rec(A,nil)). % 21.42/21.84 83 (wt=6) [back_demod(73),demod([81])] rec(atom(A),nil) = bfalse. % 21.42/21.84 84 (wt=5) [back_demod(72),demod([81])] rec(nil2,nil) = bfalse. % 21.42/21.84 85 (wt=6) [back_demod(71),demod([81])] rec(star(A),nil) = btrue. % 21.42/21.84 86 (wt=13) [back_demod(70),demod([81,81,81])] rec(y(A,B),nil) = andb(rec(A,nil),rec(B,nil)). % 21.42/21.84 87 (wt=13) [back_demod(69),demod([81,81,81])] rec(x(A,B),nil) = orb(rec(A,nil),rec(B,nil)). % 21.42/21.84 88 (wt=5) [back_demod(68),demod([81])] rec(eps,nil) = btrue. % 21.42/21.84 89 (wt=11) [flip(1)] rec(step(A,B),C) = rec(A,cons(B,C)). % 21.42/21.84 90 (wt=32) [flip(1)] impl(eq2(rec(x(star(A),star(B)),cons(C,cons(D,nil))),btrue),eq2(rec(star(x(A,B)),cons(C,cons(D,nil))),btrue)) = prop_star_plus_easy_2(A,B,C,D). % 21.42/21.84 91 (wt=5) [] eq(a,b) = bfalse. % 21.42/21.84 92 (wt=5) [] eq(a,c) = bfalse. % 21.42/21.84 93 (wt=5) [] eq(b,a) = bfalse. % 21.42/21.84 94 (wt=5) [] eq(b,c) = bfalse. % 21.42/21.84 95 (wt=5) [] eq(c,a) = bfalse. % 21.42/21.84 96 (wt=5) [] eq(c,b) = bfalse. % 21.42/21.84 97 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 21.42/21.84 98 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 21.42/21.84 99 (wt=5) [] eq(A,A) = btrue. % 21.42/21.84 100 (wt=5) [] eq2(A,A) = btrue. % 21.42/21.84 end_of_list. % 21.42/21.84 % 21.42/21.84 Passive: % 21.42/21.84 end_of_list. % 21.42/21.84 % 21.42/21.84 ------------- memory usage ------------ % 21.42/21.84 Memory dynamically allocated (tp_alloc): 63964. % 21.42/21.84 type (bytes each) gets frees in use avail bytes % 21.42/21.84 sym_ent ( 96) 87 0 87 0 8.2 K % 21.42/21.84 term ( 16) 5402809 4435533 967276 4 18745.3 K % 21.42/21.84 gen_ptr ( 8) 4794661 598761 4195900 0 32780.5 K % 21.42/21.84 context ( 808) 23884090 23884088 2 8 7.9 K % 21.42/21.84 trail ( 12) 24536 24536 0 8 0.1 K % 21.42/21.84 bt_node ( 68) 11318538 11318535 3 23 1.7 K % 21.42/21.84 ac_position (285432) 0 0 0 0 0.0 K % 21.42/21.84 ac_match_pos (14044) 0 0 0 0 0.0 K % 21.42/21.84 ac_match_free_vars_pos (4020) % 21.42/21.84 0 0 0 0 0.0 K % 21.42/21.84 discrim ( 12) 618915 23798 595117 0 6974.0 K % 21.42/21.84 flat ( 40) 12268736 12268736 0 63 2.5 K % 21.42/21.84 discrim_pos ( 12) 196651 196651 0 1 0.0 K % 21.42/21.84 fpa_head ( 12) 42261 0 42261 0 495.2 K % 21.42/21.84 fpa_tree ( 28) 81340 81340 0 23 0.6 K % 21.42/21.84 fpa_pos ( 36) 47251 47251 0 1 0.0 K % 21.42/21.84 literal ( 12) 269629 232040 37589 0 440.5 K % 21.42/21.84 clause ( 24) 269629 232040 37589 0 881.0 K % 21.42/21.84 list ( 12) 9722 9666 56 4 0.7 K % 21.42/21.84 list_pos ( 20) 126025 7879 118146 0 2307.5 K % 21.42/21.84 pair_index ( 40) 2 0 2 0 0.1 K % 21.42/21.84 % 21.42/21.84 -------------- statistics ------------- % 21.42/21.84 Clauses input 93 % 21.42/21.84 Usable input 0 % 21.42/21.84 Sos input 93 % 21.42/21.84 Demodulators input 0 % 21.42/21.85 Passive input 0 % 21.42/21.85 % 21.42/21.85 Processed BS (before search) 103 % 21.42/21.85 Forward subsumed BS 2 % 21.42/21.85 Kept BS 101 % 21.42/21.85 New demodulators BS 98 % 21.42/21.85 Back demodulated BS 8 % 21.42/21.85 % 21.42/21.85 Clauses or pairs given 1578040 % 21.42/21.85 Clauses generated 133152 % 21.42/21.85 Forward subsumed 95665 % 21.42/21.85 Deleted by weight 0 % 21.42/21.85 Deleted by variable count 0 % 21.42/21.85 Kept 37487 % 21.42/21.85 New demodulators 9565 % 21.42/21.85 Back demodulated 1735 % 21.42/21.85 Ordered paramod prunes 0 % 21.42/21.85 Basic paramod prunes 5108313 % 21.42/21.85 Prime paramod prunes 2 % 21.42/21.85 Semantic prunes 0 % 21.42/21.85 % 21.42/21.85 Rewrite attmepts 2985293 % 21.42/21.85 Rewrites 137428 % 21.42/21.85 % 21.42/21.85 FPA overloads 0 % 21.42/21.85 FPA underloads 0 % 21.42/21.85 % 21.42/21.85 Usable size 0 % 21.42/21.85 Sos size 35845 % 21.42/21.85 Demodulators size 8868 % 21.42/21.85 Passive size 0 % 21.42/21.85 Disabled size 1743 % 21.42/21.85 % 21.42/21.85 Proofs found 0 % 21.42/21.85 % 21.42/21.85 ----------- times (seconds) ----------- Tue May 5 12:10:12 2026 % 21.42/21.85 % 21.42/21.85 user CPU time 15.49 (0 hr, 0 min, 15 sec) % 21.42/21.85 system CPU time 5.24 (0 hr, 0 min, 5 sec) % 21.42/21.85 wall-clock time 21 (0 hr, 0 min, 21 sec) % 21.42/21.85 input time 0.00 % 21.42/21.85 paramodulation time 1.66 % 21.42/21.85 demodulation time 0.39 % 21.42/21.85 orient tim % 21.42/21.85 % 21.42/21.85 ********** ABNORMAL END ********** % 21.42/21.85 ********** in tp_alloc, max_mem parameter exceeded. % 21.42/21.85 e 0.23 % 21.42/21.85 weigh time 0.06 % 21.42/21.85 forward subsume time 0.14 % 21.42/21.85 back demod find time 0.20 % 21.42/21.85 conflict time 0.02 % 21.42/21.85 LRPO time 0.12 % 21.42/21.85 store clause time 10.51 % 21.42/21.85 disable clause time 0.40 % 21.42/21.85 prime paramod time 0.12 % 21.42/21.85 semantics time 0.00 % 21.42/21.85 % 21.42/21.85 EQP interrupted %------------------------------------------------------------------------------