%------------------------------------------------------------------------------ % File : EQP---0.9e % Problem : SWX229-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_eqp %s % Computer : n005.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 07:00:12 PM UTC 2026 % Result : Unknown 7.13s 7.52s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX229-1 : TPTP v9.3.0. Released v9.3.0. % 0.13/0.13 % Command : tptp2X_and_run_eqp %s % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue May 5 12:57:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.72/1.11 ----- EQP 0.9e, May 2009 ----- % 0.72/1.11 The job began on n005.cluster.edu, Tue May 5 12:57:31 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) = B. % 0.72/1.11 0 (wt=-1) [] aux(A,B,bfalse) = A. % 0.72/1.11 0 (wt=-1) [] aux2(A,B,btrue) = nil4. % 0.72/1.11 0 (wt=-1) [] aux2(A,B,bfalse) = cons4(A,enumFromToNat(suc(A),B)). % 0.72/1.11 0 (wt=-1) [] aux3(A,btrue) = cons6(o,bin(halfNat(suc(A)))). % 0.72/1.11 0 (wt=-1) [] aux3(A,bfalse) = cons6(i,bin(halfNat(suc(A)))). % 0.72/1.11 0 (wt=-1) [] predNat(zero) = zero. % 0.72/1.11 0 (wt=-1) [] predNat(suc(A)) = A. % 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(nil5) = bfalse. % 0.72/1.11 0 (wt=-1) [] or2(cons5(A,B)) = orb(A,or2(B)). % 0.72/1.11 0 (wt=-1) [] one = suc(zero). % 0.72/1.11 0 (wt=-1) [] two = suc(one). % 0.72/1.11 0 (wt=-1) [] three = suc(two). % 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) [] lt(zero,zero) = bfalse. % 0.72/1.11 0 (wt=-1) [] lt(zero,suc(A)) = btrue. % 0.72/1.11 0 (wt=-1) [] lt(suc(A),zero) = bfalse. % 0.72/1.11 0 (wt=-1) [] lt(suc(A),suc(B)) = lt(A,B). % 0.72/1.11 0 (wt=-1) [] maxNat(A,B) = aux(A,B,lt(A,B)). % 0.72/1.11 0 (wt=-1) [] maximum(A,nil2) = A. % 0.72/1.11 0 (wt=-1) [] maximum(A,cons2(pair22(B,C),D)) = maximum(maxNat(A,maxNat(B,C)),D). % 0.72/1.11 0 (wt=-1) [] len(nil3) = zero. % 0.72/1.11 0 (wt=-1) [] len(cons3(A,B)) = suc(len(B)). % 0.72/1.11 0 (wt=-1) [] last(A,nil3) = A. % 0.72/1.11 0 (wt=-1) [] last(A,cons3(B,C)) = last(B,C). % 0.72/1.11 0 (wt=-1) [] halfNat(zero) = zero. % 0.72/1.11 0 (wt=-1) [] halfNat(suc(zero)) = zero. % 0.72/1.11 0 (wt=-1) [] halfNat(suc(suc(A))) = suc(halfNat(A)). % 0.72/1.11 0 (wt=-1) [] evenNat(zero) = btrue. % 0.72/1.11 0 (wt=-1) [] evenNat(suc(zero)) = bfalse. % 0.72/1.11 0 (wt=-1) [] evenNat(suc(suc(A))) = evenNat(A). % 0.72/1.11 0 (wt=-1) [] enumFromToNat(A,B) = aux2(A,B,lt(B,A)). % 0.72/1.11 0 (wt=-1) [] dodeca(nil4) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca(cons4(A,B)) = cons2(pair22(A,suc(A)),dodeca(B)). % 0.72/1.11 0 (wt=-1) [] bin(zero) = nil6. % 0.72/1.11 0 (wt=-1) [] bin(suc(A)) = aux3(A,evenNat(suc(A))). % 0.72/1.11 0 (wt=-1) [] bgraph(nil2) = nil. % 0.72/1.11 0 (wt=-1) [] bgraph(cons2(pair22(A,B),C)) = cons(pair2(bin(A),bin(B)),bgraph(C)). % 0.72/1.11 0 (wt=-1) [] beq(nil6,nil6) = btrue. % 0.72/1.11 0 (wt=-1) [] beq(nil6,cons6(A,B)) = bfalse. % 0.72/1.11 0 (wt=-1) [] beq(cons6(i,A),nil6) = bfalse. % 0.72/1.11 0 (wt=-1) [] beq(cons6(i,A),cons6(i,B)) = beq(A,B). % 0.72/1.11 0 (wt=-1) [] beq(cons6(i,A),cons6(o,B)) = bfalse. % 0.72/1.11 0 (wt=-1) [] beq(cons6(o,A),nil6) = bfalse. % 0.72/1.11 0 (wt=-1) [] beq(cons6(o,A),cons6(i,B)) = bfalse. % 0.72/1.11 0 (wt=-1) [] beq(cons6(o,A),cons6(o,B)) = beq(A,B). % 0.72/1.11 0 (wt=-1) [] belem(A,nil3) = nil5. % 0.72/1.11 0 (wt=-1) [] belem(A,cons3(B,C)) = cons5(beq(A,B),belem(A,C)). % 0.72/1.11 0 (wt=-1) [] belem2(A,B) = or2(belem(A,B)). % 0.72/1.11 0 (wt=-1) [] append(nil2,A) = A. % 0.72/1.11 0 (wt=-1) [] append(cons2(A,B),C) = cons2(A,append(B,C)). % 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) [] bpath(A,B,nil) = nil5. % 0.72/1.11 0 (wt=-1) [] bpath(A,B,cons(pair2(C,D),E)) = cons5(orb(andb(beq(C,A),beq(D,B)),andb(beq(C,B),beq(D,A))),bpath(A,B,E)). % 0.72/1.11 0 (wt=-1) [] bpath2(nil3,A) = btrue. % 0.72/1.11 0 (wt=-1) [] bpath2(cons3(A,nil3),B) = btrue. % 0.72/1.11 0 (wt=-1) [] bpath2(cons3(A,cons3(B,C)),D) = andb(or2(bpath(A,B,D)),bpath2(cons3(B,C),D)). % 0.72/1.11 0 (wt=-1) [] bunique(nil3) = btrue. % 0.72/1.11 0 (wt=-1) [] bunique(cons3(A,B)) = andb(notb(belem2(A,B)),bunique(B)). % 0.72/1.11 0 (wt=-1) [] add(zero,A) = A. % 0.72/1.11 0 (wt=-1) [] add(suc(A),B) = suc(add(A,B)). % 0.72/1.11 0 (wt=-1) [] btour(nil3,nil2) = btrue. % 0.72/1.11 0 (wt=-1) [] btour(nil3,cons2(A,B)) = bfalse. % 0.72/1.11 0 (wt=-1) [] btour(cons3(A,B),nil2) = bfalse. % 0.72/1.11 0 (wt=-1) [] btour(cons3(A,B),cons2(pair22(C,D),E)) = andb(beq(A,last(A,B)),andb(bpath2(cons3(A,B),bgraph(cons2(pair22(C,D),E))),andb(bunique(B),eq(len(cons3(A,B)),add(two,maximum(maxNat(C,D),E)))))). % 0.72/1.11 0 (wt=-1) [] dodeca2(A,nil4) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca2(A,cons4(B,C)) = cons2(pair22(B,add(suc(A),B)),dodeca2(A,C)). % 0.72/1.11 0 (wt=-1) [] dodeca3(A,nil4) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca3(A,cons4(B,C)) = cons2(pair22(add(suc(A),B),add(add(suc(A),suc(A)),B)),dodeca3(A,C)). % 0.72/1.11 0 (wt=-1) [] dodeca4(A,nil4) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca4(A,cons4(B,C)) = cons2(pair22(add(suc(A),suc(B)),add(add(suc(A),suc(A)),B)),dodeca4(A,C)). % 0.72/1.11 0 (wt=-1) [] dodeca5(A,nil4) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca5(A,cons4(B,C)) = cons2(pair22(add(add(suc(A),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),B)),dodeca5(A,C)). % 0.72/1.11 0 (wt=-1) [] dodeca6(A,nil4) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca6(A,cons4(B,C)) = cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),suc(B))),dodeca6(A,C)). % 0.72/1.11 0 (wt=-1) [] dodeca7(zero) = nil2. % 0.72/1.11 0 (wt=-1) [] dodeca7(suc(A)) = append(cons2(pair22(A,zero),dodeca(enumFromToNat(zero,A))),append(dodeca2(A,enumFromToNat(zero,suc(A))),append(dodeca3(A,enumFromToNat(zero,suc(A))),append(cons2(pair22(suc(A),add(add(suc(A),suc(A)),A)),dodeca4(A,enumFromToNat(zero,A))),append(dodeca5(A,enumFromToNat(zero,suc(A))),cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),A),add(add(add(suc(A),suc(A)),suc(A)),zero)),dodeca6(A,enumFromToNat(zero,A)))))))). % 0.72/1.11 0 (wt=-1) [] prop_bt3(A) = notb(btour(A,dodeca7(three))). % 0.72/1.11 0 (wt=-1) [] eq2(bfalse,btrue) = bfalse. % 0.72/1.11 0 (wt=-1) [] eq2(btrue,bfalse) = bfalse. % 0.72/1.11 0 (wt=-1) [] eq3(i,o) = bfalse. % 0.72/1.11 0 (wt=-1) [] eq3(o,i) = bfalse. % 0.72/1.11 0 (wt=-1) [] eq(suc(A),suc(B)) = eq(A,B). % 0.72/1.11 0 (wt=-1) [] eq(zero,suc(A)) = bfalse. % 0.72/1.11 0 (wt=-1) [] eq(suc(A),zero) = bfalse. % 0.72/1.11 0 (wt=-1) [] eq(A,A) = btrue. % 0.72/1.11 0 (wt=-1) [] eq2(A,A) = btrue. % 0.72/1.11 0 (wt=-1) [] eq3(A,A) = btrue. % 0.72/1.11 0 (wt=-1) [] -(eq2(prop_bt3(A),bfalse) = btrue). % 0.72/1.11 end_of_list. % 0.72/1.11 % 0.72/1.11 Demodulators: % 0.72/1.11 end_of_list. % 0.72/1.11 % 0.72/1.11 Passive: % 0.72/1.11 end_of_list. % 0.72/1.11 % 0.72/1.11 Starting to process input. % 0.72/1.11 % 0.72/1.11 ** KEPT: 1 (wt=6) [] aux(A,B,btrue) = B. % 0.72/1.11 1 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 2 (wt=6) [] aux(A,B,bfalse) = A. % 0.72/1.11 2 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 3 (wt=6) [] aux2(A,B,btrue) = nil4. % 0.72/1.11 3 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 4 (wt=11) [flip(1)] cons4(A,enumFromToNat(suc(A),B)) = aux2(A,B,bfalse). % 0.72/1.11 4 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 5 (wt=10) [flip(1)] cons6(o,bin(halfNat(suc(A)))) = aux3(A,btrue). % 0.72/1.11 5 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 6 (wt=10) [flip(1)] cons6(i,bin(halfNat(suc(A)))) = aux3(A,bfalse). % 0.72/1.11 6 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 7 (wt=4) [] predNat(zero) = zero. % 0.72/1.11 7 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 8 (wt=5) [] predNat(suc(A)) = A. % 0.72/1.11 8 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 9 (wt=5) [] orb(btrue,A) = btrue. % 0.72/1.11 9 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 10 (wt=5) [] orb(bfalse,A) = A. % 0.72/1.11 10 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 11 (wt=4) [] or2(nil5) = bfalse. % 0.72/1.11 11 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 12 (wt=9) [] or2(cons5(A,B)) = orb(A,or2(B)). % 0.72/1.11 12 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 13 (wt=4) [flip(1)] suc(zero) = one. % 0.72/1.11 13 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 14 (wt=4) [flip(1)] suc(one) = two. % 0.72/1.11 14 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 15 (wt=4) [flip(1)] suc(two) = three. % 0.72/1.11 15 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 16 (wt=4) [] notb(btrue) = bfalse. % 0.72/1.11 16 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 17 (wt=4) [] notb(bfalse) = btrue. % 0.72/1.11 17 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 18 (wt=5) [] lt(zero,zero) = bfalse. % 0.72/1.11 18 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 19 (wt=6) [] lt(zero,suc(A)) = btrue. % 0.72/1.11 19 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 20 (wt=6) [] lt(suc(A),zero) = bfalse. % 0.72/1.11 20 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 21 (wt=9) [] lt(suc(A),suc(B)) = lt(A,B). % 0.72/1.11 21 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 22 (wt=10) [] maxNat(A,B) = aux(A,B,lt(A,B)). % 0.72/1.11 22 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 23 (wt=5) [] maximum(A,nil2) = A. % 0.72/1.11 23 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 24 (wt=26) [demod([22,22])] maximum(A,cons2(pair22(B,C),D)) = maximum(aux(A,aux(B,C,lt(B,C)),lt(A,aux(B,C,lt(B,C)))),D). % 0.72/1.11 % 0.72/1.11 ** KEPT: 25 (wt=26) [flip(24)] maximum(aux(A,aux(B,C,lt(B,C)),lt(A,aux(B,C,lt(B,C)))),D) = maximum(A,cons2(pair22(B,C),D)). % 0.72/1.11 clause forward subsumed: 0 (wt=26) [flip(25)] maximum(A,cons2(pair22(B,C),D)) = maximum(aux(A,aux(B,C,lt(B,C)),lt(A,aux(B,C,lt(B,C)))),D). % 0.72/1.11 % 0.72/1.11 ** KEPT: 26 (wt=4) [] len(nil3) = zero. % 0.72/1.11 26 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 27 (wt=8) [] len(cons3(A,B)) = suc(len(B)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 28 (wt=8) [flip(27)] suc(len(A)) = len(cons3(B,A)). % 0.72/1.11 clause forward subsumed: 0 (wt=8) [flip(28)] len(cons3(B,A)) = suc(len(A)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 29 (wt=5) [] last(A,nil3) = A. % 0.72/1.11 29 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 30 (wt=9) [] last(A,cons3(B,C)) = last(B,C). % 0.72/1.11 % 0.72/1.11 ** KEPT: 31 (wt=9) [flip(30)] last(A,B) = last(C,cons3(A,B)). % 0.72/1.11 clause forward subsumed: 0 (wt=9) [flip(31)] last(C,cons3(A,B)) = last(A,B). % 0.72/1.11 % 0.72/1.11 ** KEPT: 32 (wt=4) [] halfNat(zero) = zero. % 0.72/1.11 32 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 33 (wt=4) [demod([13])] halfNat(one) = zero. % 0.72/1.11 33 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 34 (wt=8) [] halfNat(suc(suc(A))) = suc(halfNat(A)). % 0.72/1.11 34 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 35 (wt=4) [] evenNat(zero) = btrue. % 0.72/1.11 35 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 36 (wt=4) [demod([13])] evenNat(one) = bfalse. % 0.72/1.11 36 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 37 (wt=7) [] evenNat(suc(suc(A))) = evenNat(A). % 0.72/1.11 37 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 38 (wt=10) [flip(1)] aux2(A,B,lt(B,A)) = enumFromToNat(A,B). % 0.72/1.11 38 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 39 (wt=4) [] dodeca(nil4) = nil2. % 0.72/1.11 39 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 40 (wt=12) [] dodeca(cons4(A,B)) = cons2(pair22(A,suc(A)),dodeca(B)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 41 (wt=12) [flip(40)] cons2(pair22(A,suc(A)),dodeca(B)) = dodeca(cons4(A,B)). % 0.72/1.11 clause forward subsumed: 0 (wt=12) [flip(41)] dodeca(cons4(A,B)) = cons2(pair22(A,suc(A)),dodeca(B)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 42 (wt=4) [] bin(zero) = nil6. % 0.72/1.11 42 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 43 (wt=9) [flip(1)] aux3(A,evenNat(suc(A))) = bin(suc(A)). % 0.72/1.11 43 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 44 (wt=4) [] bgraph(nil2) = nil. % 0.72/1.11 44 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 45 (wt=15) [] bgraph(cons2(pair22(A,B),C)) = cons(pair2(bin(A),bin(B)),bgraph(C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 46 (wt=15) [flip(45)] cons(pair2(bin(A),bin(B)),bgraph(C)) = bgraph(cons2(pair22(A,B),C)). % 0.72/1.11 clause forward subsumed: 0 (wt=15) [flip(46)] bgraph(cons2(pair22(A,B),C)) = cons(pair2(bin(A),bin(B)),bgraph(C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 47 (wt=5) [] beq(nil6,nil6) = btrue. % 0.72/1.11 47 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 48 (wt=7) [] beq(nil6,cons6(A,B)) = bfalse. % 0.72/1.11 48 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 49 (wt=7) [] beq(cons6(i,A),nil6) = bfalse. % 0.72/1.11 49 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 50 (wt=11) [] beq(cons6(i,A),cons6(i,B)) = beq(A,B). % 0.72/1.11 50 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 51 (wt=9) [] beq(cons6(i,A),cons6(o,B)) = bfalse. % 0.72/1.11 51 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 52 (wt=7) [] beq(cons6(o,A),nil6) = bfalse. % 0.72/1.11 52 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 53 (wt=9) [] beq(cons6(o,A),cons6(i,B)) = bfalse. % 0.72/1.11 53 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 54 (wt=11) [] beq(cons6(o,A),cons6(o,B)) = beq(A,B). % 0.72/1.11 54 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 55 (wt=5) [] belem(A,nil3) = nil5. % 0.72/1.11 55 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 56 (wt=13) [flip(1)] cons5(beq(A,B),belem(A,C)) = belem(A,cons3(B,C)). % 0.72/1.11 56 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 57 (wt=8) [flip(1)] or2(belem(A,B)) = belem2(A,B). % 0.72/1.11 57 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 58 (wt=5) [] append(nil2,A) = A. % 0.72/1.11 58 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 59 (wt=11) [flip(1)] cons2(A,append(B,C)) = append(cons2(A,B),C). % 0.72/1.11 59 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 60 (wt=5) [] andb(btrue,A) = A. % 0.72/1.11 60 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 61 (wt=5) [] andb(bfalse,A) = bfalse. % 0.72/1.11 61 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 62 (wt=6) [] bpath(A,B,nil) = nil5. % 0.72/1.11 62 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 63 (wt=29) [] bpath(A,B,cons(pair2(C,D),E)) = cons5(orb(andb(beq(C,A),beq(D,B)),andb(beq(C,B),beq(D,A))),bpath(A,B,E)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 64 (wt=29) [flip(63)] cons5(orb(andb(beq(A,B),beq(C,D)),andb(beq(A,D),beq(C,B))),bpath(B,D,E)) = bpath(B,D,cons(pair2(A,C),E)). % 0.72/1.11 clause forward subsumed: 0 (wt=29) [flip(64)] bpath(B,D,cons(pair2(A,C),E)) = cons5(orb(andb(beq(A,B),beq(C,D)),andb(beq(A,D),beq(C,B))),bpath(B,D,E)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 65 (wt=5) [] bpath2(nil3,A) = btrue. % 0.72/1.11 65 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 66 (wt=7) [] bpath2(cons3(A,nil3),B) = btrue. % 0.72/1.11 66 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 67 (wt=19) [] bpath2(cons3(A,cons3(B,C)),D) = andb(or2(bpath(A,B,D)),bpath2(cons3(B,C),D)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 68 (wt=19) [flip(67)] andb(or2(bpath(A,B,C)),bpath2(cons3(B,D),C)) = bpath2(cons3(A,cons3(B,D)),C). % 0.72/1.11 clause forward subsumed: 0 (wt=19) [flip(68)] bpath2(cons3(A,cons3(B,D)),C) = andb(or2(bpath(A,B,C)),bpath2(cons3(B,D),C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 69 (wt=4) [] bunique(nil3) = btrue. % 0.72/1.11 69 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 70 (wt=12) [flip(1)] andb(notb(belem2(A,B)),bunique(B)) = bunique(cons3(A,B)). % 0.72/1.11 70 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 71 (wt=5) [] add(zero,A) = A. % 0.72/1.11 71 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 72 (wt=9) [flip(1)] suc(add(A,B)) = add(suc(A),B). % 0.72/1.11 72 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 73 (wt=5) [] btour(nil3,nil2) = btrue. % 0.72/1.11 73 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 74 (wt=7) [] btour(nil3,cons2(A,B)) = bfalse. % 0.72/1.11 74 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 75 (wt=7) [] btour(cons3(A,B),nil2) = bfalse. % 0.72/1.11 75 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 76 (wt=45) [demod([22])] btour(cons3(A,B),cons2(pair22(C,D),E)) = andb(beq(A,last(A,B)),andb(bpath2(cons3(A,B),bgraph(cons2(pair22(C,D),E))),andb(bunique(B),eq(len(cons3(A,B)),add(two,maximum(aux(C,D,lt(C,D)),E)))))). % 0.72/1.11 % 0.72/1.11 ** KEPT: 77 (wt=45) [flip(76)] andb(beq(A,last(A,B)),andb(bpath2(cons3(A,B),bgraph(cons2(pair22(C,D),E))),andb(bunique(B),eq(len(cons3(A,B)),add(two,maximum(aux(C,D,lt(C,D)),E)))))) = btour(cons3(A,B),cons2(pair22(C,D),E)). % 0.72/1.11 clause forward subsumed: 0 (wt=45) [flip(77)] btour(cons3(A,B),cons2(pair22(C,D),E)) = andb(beq(A,last(A,B)),andb(bpath2(cons3(A,B),bgraph(cons2(pair22(C,D),E))),andb(bunique(B),eq(len(cons3(A,B)),add(two,maximum(aux(C,D,lt(C,D)),E)))))). % 0.72/1.11 % 0.72/1.11 ** KEPT: 78 (wt=5) [] dodeca2(A,nil4) = nil2. % 0.72/1.11 78 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 79 (wt=16) [] dodeca2(A,cons4(B,C)) = cons2(pair22(B,add(suc(A),B)),dodeca2(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 80 (wt=16) [flip(79)] cons2(pair22(A,add(suc(B),A)),dodeca2(B,C)) = dodeca2(B,cons4(A,C)). % 0.72/1.11 clause forward subsumed: 0 (wt=16) [flip(80)] dodeca2(B,cons4(A,C)) = cons2(pair22(A,add(suc(B),A)),dodeca2(B,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 81 (wt=5) [] dodeca3(A,nil4) = nil2. % 0.72/1.11 81 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 82 (wt=22) [] dodeca3(A,cons4(B,C)) = cons2(pair22(add(suc(A),B),add(add(suc(A),suc(A)),B)),dodeca3(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 83 (wt=22) [flip(82)] cons2(pair22(add(suc(A),B),add(add(suc(A),suc(A)),B)),dodeca3(A,C)) = dodeca3(A,cons4(B,C)). % 0.72/1.11 clause forward subsumed: 0 (wt=22) [flip(83)] dodeca3(A,cons4(B,C)) = cons2(pair22(add(suc(A),B),add(add(suc(A),suc(A)),B)),dodeca3(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 84 (wt=5) [] dodeca4(A,nil4) = nil2. % 0.72/1.11 84 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 85 (wt=23) [] dodeca4(A,cons4(B,C)) = cons2(pair22(add(suc(A),suc(B)),add(add(suc(A),suc(A)),B)),dodeca4(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 86 (wt=23) [flip(85)] cons2(pair22(add(suc(A),suc(B)),add(add(suc(A),suc(A)),B)),dodeca4(A,C)) = dodeca4(A,cons4(B,C)). % 0.72/1.11 clause forward subsumed: 0 (wt=23) [flip(86)] dodeca4(A,cons4(B,C)) = cons2(pair22(add(suc(A),suc(B)),add(add(suc(A),suc(A)),B)),dodeca4(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 87 (wt=5) [] dodeca5(A,nil4) = nil2. % 0.72/1.11 87 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 88 (wt=28) [] dodeca5(A,cons4(B,C)) = cons2(pair22(add(add(suc(A),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),B)),dodeca5(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 89 (wt=28) [flip(88)] cons2(pair22(add(add(suc(A),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),B)),dodeca5(A,C)) = dodeca5(A,cons4(B,C)). % 0.72/1.11 clause forward subsumed: 0 (wt=28) [flip(89)] dodeca5(A,cons4(B,C)) = cons2(pair22(add(add(suc(A),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),B)),dodeca5(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 90 (wt=5) [] dodeca6(A,nil4) = nil2. % 0.72/1.11 90 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 91 (wt=32) [] dodeca6(A,cons4(B,C)) = cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),suc(B))),dodeca6(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 92 (wt=32) [flip(91)] cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),suc(B))),dodeca6(A,C)) = dodeca6(A,cons4(B,C)). % 0.72/1.11 clause forward subsumed: 0 (wt=32) [flip(92)] dodeca6(A,cons4(B,C)) = cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),suc(B))),dodeca6(A,C)). % 0.72/1.11 % 0.72/1.11 ** KEPT: 93 (wt=4) [] dodeca7(zero) = nil2. % 0.72/1.11 93 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 94 (wt=78) [] dodeca7(suc(A)) = append(cons2(pair22(A,zero),dodeca(enumFromToNat(zero,A))),append(dodeca2(A,enumFromToNat(zero,suc(A))),append(dodeca3(A,enumFromToNat(zero,suc(A))),append(cons2(pair22(suc(A),add(add(suc(A),suc(A)),A)),dodeca4(A,enumFromToNat(zero,A))),append(dodeca5(A,enumFromToNat(zero,suc(A))),cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),A),add(add(add(suc(A),suc(A)),suc(A)),zero)),dodeca6(A,enumFromToNat(zero,A)))))))). % 0.72/1.11 94 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 95 (wt=8) [] prop_bt3(A) = notb(btour(A,dodeca7(three))). % 0.72/1.11 95 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 96 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.72/1.11 96 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 97 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.72/1.11 97 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 98 (wt=5) [] eq3(i,o) = bfalse. % 0.72/1.11 98 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 99 (wt=5) [] eq3(o,i) = bfalse. % 0.72/1.11 99 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 100 (wt=9) [] eq(suc(A),suc(B)) = eq(A,B). % 0.72/1.11 100 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 101 (wt=6) [] eq(zero,suc(A)) = bfalse. % 0.72/1.11 101 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 102 (wt=6) [] eq(suc(A),zero) = bfalse. % 0.72/1.11 102 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 103 (wt=5) [] eq(A,A) = btrue. % 0.72/1.11 103 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 104 (wt=5) [] eq2(A,A) = btrue. % 0.72/1.11 104 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 105 (wt=5) [] eq3(A,A) = btrue. % 0.72/1.11 105 is a new demodulator. % 0.72/1.11 % 0.72/1.11 ** KEPT: 106 (wt=9) [demod([95])] -(eq2(notb(btour(A,dodeca7(three))),bfalse) = btrue). % 0.72/1.11 % 0.72/1.11 After processing input: % 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 7 (wt=4) [] predNat(zero) = zero. % 0.72/1.11 11 (wt=4) [] or2(nil5) = bfalse. % 0.72/1.11 13 (wt=4) [flip(1)] suc(zero) = one. % 0.72/1.11 14 (wt=4) [flip(1)] suc(one) = two. % 0.72/1.11 15 (wt=4) [flip(1)] suc(two) = three. % 0.72/1.11 16 (wt=4) [] notb(btrue) = bfalse. % 0.72/1.11 17 (wt=4) [] notb(bfalse) = btrue. % 0.72/1.11 26 (wt=4) [] len(nil3) = zero. % 0.72/1.11 32 (wt=4) [] halfNat(zero) = zero. % 0.72/1.11 33 (wt=4) [demod([13])] halfNat(one) = zero. % 0.72/1.11 35 (wt=4) [] evenNat(zero) = btrue. % 0.72/1.11 36 (wt=4) [demod([13])] evenNat(one) = bfalse. % 0.72/1.11 39 (wt=4) [] dodeca(nil4) = nil2. % 0.72/1.11 42 (wt=4) [] bin(zero) = nil6. % 0.72/1.11 44 (wt=4) [] bgraph(nil2) = nil. % 0.72/1.11 69 (wt=4) [] bunique(nil3) = btrue. % 0.72/1.11 93 (wt=4) [] dodeca7(zero) = nil2. % 0.72/1.11 8 (wt=5) [] predNat(suc(A)) = A. % 0.72/1.11 9 (wt=5) [] orb(btrue,A) = btrue. % 0.72/1.11 10 (wt=5) [] orb(bfalse,A) = A. % 0.72/1.11 18 (wt=5) [] lt(zero,zero) = bfalse. % 0.72/1.11 23 (wt=5) [] maximum(A,nil2) = A. % 0.72/1.11 29 (wt=5) [] last(A,nil3) = A. % 0.72/1.11 47 (wt=5) [] beq(nil6,nil6) = btrue. % 0.72/1.11 55 (wt=5) [] belem(A,nil3) = nil5. % 0.72/1.11 58 (wt=5) [] append(nil2,A) = A. % 0.72/1.11 60 (wt=5) [] andb(btrue,A) = A. % 0.72/1.11 61 (wt=5) [] andb(bfalse,A) = bfalse. % 0.72/1.11 65 (wt=5) [] bpath2(nil3,A) = btrue. % 0.72/1.11 71 (wt=5) [] add(zero,A) = A. % 0.72/1.11 73 (wt=5) [] btour(nil3,nil2) = btrue. % 0.72/1.11 78 (wt=5) [] dodeca2(A,nil4) = nil2. % 0.72/1.11 81 (wt=5) [] dodeca3(A,nil4) = nil2. % 0.72/1.11 84 (wt=5) [] dodeca4(A,nil4) = nil2. % 0.72/1.11 87 (wt=5) [] dodeca5(A,nil4) = nil2. % 0.72/1.11 90 (wt=5) [] dodeca6(A,nil4) = nil2. % 0.72/1.11 96 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 0.72/1.11 97 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 0.72/1.11 98 (wt=5) [] eq3(i,o) = bfalse. % 0.72/1.11 99 (wt=5) [] eq3(o,i) = bfalse. % 0.72/1.11 103 (wt=5) [] eq(A,A) = btrue. % 0.72/1.11 104 (wt=5) [] eq2(A,A) = btrue. % 0.72/1.11 105 (wt=5) [] eq3(A,A) = btrue. % 0.72/1.11 1 (wt=6) [] aux(A,B,btrue) = B. % 0.72/1.11 2 (wt=6) [] aux(A,B,bfalse) = A. % 0.72/1.11 3 (wt=6) [] aux2(A,B,btrue) = nil4. % 0.72/1.11 19 (wt=6) [] lt(zero,suc(A)) = btrue. % 0.72/1.11 20 (wt=6) [] lt(suc(A),zero) = bfalse. % 0.72/1.11 62 (wt=6) [] bpath(A,B,nil) = nil5. % 0.72/1.11 101 (wt=6) [] eq(zero,suc(A)) = bfalse. % 0.72/1.11 102 (wt=6) [] eq(suc(A),zero) = bfalse. % 0.72/1.11 37 (wt=7) [] evenNat(suc(suc(A))) = evenNat(A). % 0.72/1.11 48 (wt=7) [] beq(nil6,cons6(A,B)) = bfalse. % 0.72/1.11 49 (wt=7) [] beq(cons6(i,A),nil6) = bfalse. % 0.72/1.11 52 (wt=7) [] beq(cons6(o,A),nil6) = bfalse. % 0.72/1.11 66 (wt=7) [] bpath2(cons3(A,nil3),B) = btrue. % 0.72/1.11 74 (wt=7) [] btour(nil3,cons2(A,B)) = bfalse. % 0.72/1.11 75 (wt=7) [] btour(cons3(A,B),nil2) = bfalse. % 0.72/1.11 27 (wt=8) [] len(cons3(A,B)) = suc(len(B)). % 0.72/1.11 28 (wt=8) [flip(27)] suc(len(A)) = len(cons3(B,A)). % 0.72/1.11 34 (wt=8) [] halfNat(suc(suc(A))) = suc(halfNat(A)). % 0.72/1.11 57 (wt=8) [flip(1)] or2(belem(A,B)) = belem2(A,B). % 0.72/1.11 95 (wt=8) [] prop_bt3(A) = notb(btour(A,dodeca7(three))). % 0.72/1.11 12 (wt=9) [] or2(cons5(A,B)) = orb(A,or2(B)). % 0.72/1.11 21 (wt=9) [] lt(suc(A),suc(B)) = lt(A,B). % 0.72/1.11 30 (wt=9) [] last(A,cons3(B,C)) = last(B,C). % 0.72/1.11 31 (wt=9) [flip(30)] last(A,B) = last(C,cons3(A,B)). % 0.72/1.11 43 (wt=9) [flip(1)] aux3(A,evenNat(suc(A))) = bin(suc(A)). % 0.72/1.11 51 (wt=9) [] beq(cons6(i,A),cons6(o,B)) = bfalse. % 0.72/1.11 53 (wt=9) [] beq(cons6(o,A),cons6(i,B)) = bfalse. % 0.72/1.11 72 (wt=9) [flip(1)] suc(add(A,B)) = add(suc(A),B). % 0.72/1.11 100 (wt=9) [] eq(suc(A),suc(B)) = eq(A,B). % 0.72/1.11 106 (wt=9) [demod([95])] -(eq2(notb(btour(A,dodeca7(three))),bfalse) = btrue). % 0.72/1.11 5 (wt=10) [flip(1)] cons6(o,bin(halfNat(suc(A)))) = aux3(A,btrue). % 0.72/1.11 6 (wt=10) [flip(1)] cons6(i,bin(halfNat(suc(A)))) = aux3(A,bfalse). % 0.72/1.11 22 (wt=10) [] maxNat(A,B) = aux(A,B,lt(A,B)). % 0.72/1.11 38 (wt=10) [flip(1)] aux2(A,B,lt(B,A)) = enumFromToNat(A,B). % 0.72/1.11 4 (wt=11) [flip(1)] cons4(A,enumFromToNat(suc(A),B)) = aux2(A,B,bfalse). % 0.72/1.11 50 (wt=11) [] beq(cons6(i,A),cons6(i,B)) = beq(A,B). % 0.72/1.11 54 (wt=11) [] beq(cons6(o,A),cons6(o,B)) = beq(A,B). % 0.72/1.11 59 (wt=11) [flip(1)] cons2(A,append(B,C)) = append(cons2(A,B),C). % 0.72/1.11 40 (wt=12) [] dodeca(cons4(A,B)) = cons2(pair22(A,suc(A)),dodeca(B)). % 0.72/1.11 41 (wt=12) [flip(40)] cons2(pair22(A,suc(A)),dodeca(B)) = dodeca(cons4(A,B)). % 0.72/1.11 70 (wt=12) [flip(1)] andb(notb(belem2(A,B)),bunique(B)) = bunique(cons3(A,B)). % 0.72/1.11 56 (wt=13) [flip(1)] cons5(beq(A,B),belem(A,C)) = belem(A,cons3(B,C)). % 0.72/1.11 45 (wt=15) [] bgraph(cons2(pair22(A,B),C)) = cons(pair2(bin(A),bin(B)),bgraph(C)). % 0.72/1.11 46 (wt=15) [flip(45)] cons(pair2(bin(A),bin(B)),bgraph(C)) = bgraph(cons2(pair22(A,B),C)). % 0.72/1.11 79 (wt=16) [] dodeca2(A,cons4(B,C)) = cons2(pair22(B,add(suc(A),B)),dodeca2(A,C)). % 0.72/1.11 80 (wt=16) [flip(79)] cons2(pair22(A,add(suc(B),A)),dodeca2(B,C)) = dodeca2(B,cons4(A,C)). % 0.72/1.11 67 (wt=19) [] bpath2(cons3(A,cons3(B,C)),D) = andb(or2(bpath(A,B,D)),bpath2(cons3(B,C),D)). % 0.72/1.11 68 (wt=19) [flip(67)] andb(or2(bpath(A,B,C)),bpath2(cons3(B,D),C)) = bpath2(cons3(A,cons3(B,D)),C). % 0.72/1.11 82 (wt=22) [] dodeca3(A,cons4(B,C)) = cons2(pair22(add(suc(A),B),add(add(suc(A),suc(A)),B)),dodeca3(A,C)). % 0.72/1.11 83 (wt=22) [flip(82)] cons2(pair22(add(suc(A),B),add(add(suc(A),suc(A)),B)),dodeca3(A,C)) = dodeca3(A,cons4(B,C)). % 0.72/1.11 85 (wt=23) [] dodeca4(A,cons4(B,C)) = cons2(pair22(add(suc(A),suc(B)),add(add(suc(A),suc(A)),B)),dodeca4(A,C)). % 0.72/1.11 86 (wt=23) [flip(85)] cons2(pair22(add(suc(A),suc(B)),add(add(suc(A),suc(A)),B)),dodeca4(A,C)) = dodeca4(A,cons4(B,C)). % 0.72/1.11 24 (wt=26) [demod([22,22])] maximum(A,cons2(pair22(B,C),D)) = maximum(aux(A,aux(B,C,lt(B,C)),lt(A,aux(B,C,lt(B,C)))),D). % 0.72/1.11 25 (wt=26) [flip(24)] maximum(aux(A,aux(B,C,lt(B,C)),lt(A,aux(B,C,lt(B,C)))),D) = maximum(A,cons2(pair22(B,C),D)). % 0.72/1.11 88 (wt=28) [] dodeca5(A,cons4(B,C)) = cons2(pair22(add(add(suc(A),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),B)),dodeca5(A,C)). % 0.72/1.11 89 (wt=28) [flip(88)] cons2(pair22(add(add(suc(A),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),B)),dodeca5(A,C)) = dodeca5(A,cons4(B,C)). % 0.72/1.11 63 (wt=29) [] bpath(A,B,cons(pair2(C,D),E)) = cons5(orb(andb(beq(C,A),beq(D,B)),andb(beq(C,B),beq(D,A))),bpath(A,B,E)). % 0.72/1.11 64 (wt=29) [flip(63)] cons5(orb(andb(beq(A,B),beq(C,D)),andb(beq(A,D),beq(C,B))),bpath(B,D,E)) = bpath(B,D,cons(pair2(A,C),E)). % 0.72/1.11 91 (wt=32) [] dodeca6(A,cons4(B,C)) = cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),suc(B))),dodeca6(A,C)). % 0.72/1.11 92 (wt=32) [flip(91)] cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),B),add(add(add(suc(A),suc(A)),suc(A)),suc(B))),dodeca6(A,C)) = dodeca6(A,cons4(B,C)). % 0.72/1.11 76 (wt=45) [demod([22])] btour(cons3(A,B),cons2(pair22(C,D),E)) = andb(beq(A,last(A,B)),andb(bpath2(cons3(A,B),bgraph(cons2(pair22(C,D),E))),andb(bunique(B),eq(len(cons3(A,B)),add(two,maximum(aux(C,D,lt(C,D)),E)))))). % 0.72/1.11 77 (wt=45) [flip(76)] andb(beq(A,last(A,B)),andb(bpath2(cons3(A,B),bgraph(cons2(pair22(C,D),E))),andb(bunique(B),eq(len(cons3(A,B)),add(two,maximum(aux(C,D,lt(C,D)),E)))))) = btour(cons3(A,B),cons2(pair22(C,D),E)). % 0.72/1.11 94 (wt=78) [] dodeca7(suc(A)) = append(cons2(pair22(A,zero),dodeca(enumFromToNat(zero,A))),append(dodeca2(A,enumFromToNat(zero,suc(A))),append(dodeca3(A,enumFromToNat(zero,suc(A))),append(cons2(pair22(suc(A),add(add(suc(A),suc(A)),A)),dodeca4(A,enumFromToNat(zero,A))),append(dodeca5(A,enumFromToNat(zero,suc(A))),cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),A),add(add(add(suc(A),suc(A)),suc(A)),zero)),dodeca6(A,enumFromToNat(zero,A)))))))). % 0.72/1.11 end_of_list. % 0.72/1.11 % 0.72/1.11 Demodulators: % 0.72/1.11 1 (wt=6) [] aux(A,B,btrue) = B. % 0.72/1.11 2 (wt=6) [] aux(A,B,bfalse) = A. % 0.72/1.11 3 (wt=6) [] aux2(A,B,btrue) = nil4. % 0.72/1.11 4 (wt=11) [flip(1)] cons4(A,enumFromToNat(suc(A),B)) = aux2(A,B,bfalse). % 0.72/1.11 5 (wt=10) [flip(1)] cons6(o,bin(halfNat(suc(A)))) = aux3(A,btrue). % 0.72/1.11 6 (wt=10) [flip(1)] cons6(i,bin(halfNat(suc(A)))) = aux3(A,bfalse). % 0.72/1.11 7 (wt=4) [] predNat(zero) = zero. % 0.72/1.11 8 (wt=5) [] predNat(suc(A)) = A. % 0.72/1.11 9 (wt=5) [] orb(btrue,A) = btrue. % 0.72/1.11 10 (wt=5) [] orb(bfalse,A) = A. % 0.72/1.11 11 (wt=4) [] or2(nil5) = bfalse. % 0.72/1.11 12 (wt=9) [] or2(cons5(A,B)) = orb(A,or2(B)). % 0.72/1.11 13 (wt=4) [flip(1)] suc(zero) = one. % 0.72/1.11 14 (wt=4) [flip(1)] suc(one) = two. % 0.72/1.11 15 (wt=4) [flip(1)] suc(two) = three. % 0.72/1.11 16 (wt=4) [] notb(btrue) = bfalse. % 0.72/1.11 17 (wt=4) [] notb(bfalse) = btrue. % 0.72/1.11 18 (wt=5) [] lt(zero,zero) = bfalse. % 0.72/1.11 19 (wt=6) [] lt(zero,suc(A)) = btrue. % 0.72/1.11 20 (wt=6) [] lt(suc(A),zero) = bfalse. % 0.72/1.11 21 (wt=9) [] lt(suc(A),suc(B)) = lt(A,B). % 0.72/1.11 22 (wt=10) [] maxNat(A,B) = aux(A,B,lt(A,B)). % 0.72/1.11 23 (wt=5) [] maximum(A,nil2) = A. % 0.72/1.11 26 (wt=4) [] len(nil3) = zero. % 7.13/7.52 29 (wt=5) [] last(A,nil3) = A. % 7.13/7.52 32 (wt=4) [] halfNat(zero) = zero. % 7.13/7.52 33 (wt=4) [demod([13])] halfNat(one) = zero. % 7.13/7.52 34 (wt=8) [] halfNat(suc(suc(A))) = suc(halfNat(A)). % 7.13/7.52 35 (wt=4) [] evenNat(zero) = btrue. % 7.13/7.52 36 (wt=4) [demod([13])] evenNat(one) = bfalse. % 7.13/7.52 37 (wt=7) [] evenNat(suc(suc(A))) = evenNat(A). % 7.13/7.52 38 (wt=10) [flip(1)] aux2(A,B,lt(B,A)) = enumFromToNat(A,B). % 7.13/7.52 39 (wt=4) [] dodeca(nil4) = nil2. % 7.13/7.52 42 (wt=4) [] bin(zero) = nil6. % 7.13/7.52 43 (wt=9) [flip(1)] aux3(A,evenNat(suc(A))) = bin(suc(A)). % 7.13/7.52 44 (wt=4) [] bgraph(nil2) = nil. % 7.13/7.52 47 (wt=5) [] beq(nil6,nil6) = btrue. % 7.13/7.52 48 (wt=7) [] beq(nil6,cons6(A,B)) = bfalse. % 7.13/7.52 49 (wt=7) [] beq(cons6(i,A),nil6) = bfalse. % 7.13/7.52 50 (wt=11) [] beq(cons6(i,A),cons6(i,B)) = beq(A,B). % 7.13/7.52 51 (wt=9) [] beq(cons6(i,A),cons6(o,B)) = bfalse. % 7.13/7.52 52 (wt=7) [] beq(cons6(o,A),nil6) = bfalse. % 7.13/7.52 53 (wt=9) [] beq(cons6(o,A),cons6(i,B)) = bfalse. % 7.13/7.52 54 (wt=11) [] beq(cons6(o,A),cons6(o,B)) = beq(A,B). % 7.13/7.52 55 (wt=5) [] belem(A,nil3) = nil5. % 7.13/7.52 56 (wt=13) [flip(1)] cons5(beq(A,B),belem(A,C)) = belem(A,cons3(B,C)). % 7.13/7.52 57 (wt=8) [flip(1)] or2(belem(A,B)) = belem2(A,B). % 7.13/7.52 58 (wt=5) [] append(nil2,A) = A. % 7.13/7.52 59 (wt=11) [flip(1)] cons2(A,append(B,C)) = append(cons2(A,B),C). % 7.13/7.52 60 (wt=5) [] andb(btrue,A) = A. % 7.13/7.52 61 (wt=5) [] andb(bfalse,A) = bfalse. % 7.13/7.52 62 (wt=6) [] bpath(A,B,nil) = nil5. % 7.13/7.52 65 (wt=5) [] bpath2(nil3,A) = btrue. % 7.13/7.52 66 (wt=7) [] bpath2(cons3(A,nil3),B) = btrue. % 7.13/7.52 69 (wt=4) [] bunique(nil3) = btrue. % 7.13/7.52 70 (wt=12) [flip(1)] andb(notb(belem2(A,B)),bunique(B)) = bunique(cons3(A,B)). % 7.13/7.52 71 (wt=5) [] add(zero,A) = A. % 7.13/7.52 72 (wt=9) [flip(1)] suc(add(A,B)) = add(suc(A),B). % 7.13/7.52 73 (wt=5) [] btour(nil3,nil2) = btrue. % 7.13/7.52 74 (wt=7) [] btour(nil3,cons2(A,B)) = bfalse. % 7.13/7.52 75 (wt=7) [] btour(cons3(A,B),nil2) = bfalse. % 7.13/7.52 78 (wt=5) [] dodeca2(A,nil4) = nil2. % 7.13/7.52 81 (wt=5) [] dodeca3(A,nil4) = nil2. % 7.13/7.52 84 (wt=5) [] dodeca4(A,nil4) = nil2. % 7.13/7.52 87 (wt=5) [] dodeca5(A,nil4) = nil2. % 7.13/7.52 90 (wt=5) [] dodeca6(A,nil4) = nil2. % 7.13/7.52 93 (wt=4) [] dodeca7(zero) = nil2. % 7.13/7.52 94 (wt=78) [] dodeca7(suc(A)) = append(cons2(pair22(A,zero),dodeca(enumFromToNat(zero,A))),append(dodeca2(A,enumFromToNat(zero,suc(A))),append(dodeca3(A,enumFromToNat(zero,suc(A))),append(cons2(pair22(suc(A),add(add(suc(A),suc(A)),A)),dodeca4(A,enumFromToNat(zero,A))),append(dodeca5(A,enumFromToNat(zero,suc(A))),cons2(pair22(add(add(add(suc(A),suc(A)),suc(A)),A),add(add(add(suc(A),suc(A)),suc(A)),zero)),dodeca6(A,enumFromToNat(zero,A)))))))). % 7.13/7.52 95 (wt=8) [] prop_bt3(A) = notb(btour(A,dodeca7(three))). % 7.13/7.52 96 (wt=5) [] eq2(bfalse,btrue) = bfalse. % 7.13/7.52 97 (wt=5) [] eq2(btrue,bfalse) = bfalse. % 7.13/7.52 98 (wt=5) [] eq3(i,o) = bfalse. % 7.13/7.52 99 (wt=5) [] eq3(o,i) = bfalse. % 7.13/7.52 100 (wt=9) [] eq(suc(A),suc(B)) = eq(A,B). % 7.13/7.52 101 (wt=6) [] eq(zero,suc(A)) = bfalse. % 7.13/7.52 102 (wt=6) [] eq(suc(A),zero) = bfalse. % 7.13/7.52 103 (wt=5) [] eq(A,A) = btrue. % 7.13/7.52 104 (wt=5) [] eq2(A,A) = btrue. % 7.13/7.52 105 (wt=5) [] eq3(A,A) = btrue. % 7.13/7.52 end_of_list. % 7.13/7.52 % 7.13/7.52 Passive: % 7.13/7.52 end_of_list. % 7.13/7.52 % 7.13/7.52 ------------- memory usage ------------ % 7.13/7.52 Memory dynamically allocated (tp_alloc): 63964. % 7.13/7.52 type (bytes each) gets frees in use avail bytes % 7.13/7.52 sym_ent ( 96) 126 0 126 0 11.8 K % 7.13/7.52 term ( 16) 2107153 1217200 889953 297 17313.6 K % 7.13/7.52 gen_ptr ( 8) 4892972 140178 4752794 0 37131.2 K % 7.13/7.52 context ( 808) 10721422 10721419 3 7 7.9 K % 7.13/7.52 trail ( 12) 6898 6898 0 15 0.2 K % 7.13/7.52 bt_node ( 68) 4907824 4907815 9 219 15.1 K % 7.13/7.52 ac_position (285432) 0 0 0 0 0.0 K % 7.13/7.52 ac_match_pos (14044) 0 0 0 0 0.0 K % 7.13/7.52 ac_match_free_vars_pos (4020) % 7.13/7.52 0 0 0 0 0.0 K % 7.13/7.52 discrim ( 12) 582425 22202 560223 0 6565.1 K % 7.13/7.52 flat ( 40) 4840598 4840598 0 3864 150.9 K % 7.13/7.52 discrim_pos ( 12) 51981 51981 0 1 0.0 K % 7.13/7.52 fpa_head ( 12) 30553 0 30553 0 358.0 K % 7.13/7.52 fpa_tree ( 28) 16692 16692 0 49 1.3 K % 7.13/7.52 fpa_pos ( 36) 21331 21331 0 1 0.0 K % 7.13/7.52 literal ( 12) 73239 54266 18973 1 222.4 K % 7.13/7.52 clause ( 24) 73239 54266 18973 1 444.7 K % 7.13/7.52 list ( 12) 2418 2362 56 4 0.7 K % 7.13/7.52 list_pos ( 20) 62343 6686 55657 0 1087.1 K % 7.13/7.52 pair_index ( 40) 2 0 2 0 0.1 K % 7.13/7.52 % 7.13/7.52 -------------- statistics ------------- % 7.13/7.52 Clauses input 93 % 7.13/7.52 Usable input 0 % 7.13/7.52 S % 7.13/7.52 % 7.13/7.52 ********** ABNORMAL END ********** % 7.13/7.52 ********** in tp_alloc, max_mem parameter exceeded. % 7.13/7.52 os input 93 % 7.13/7.52 Demodulators input 0 % 7.13/7.52 Passive input 0 % 7.13/7.52 % 7.13/7.52 Processed BS (before search) 119 % 7.13/7.52 Forward subsumed BS 13 % 7.13/7.52 Kept BS 106 % 7.13/7.52 New demodulators BS 79 % 7.13/7.52 Back demodulated BS 0 % 7.13/7.52 % 7.13/7.52 Clauses or pairs given 716905 % 7.13/7.52 Clauses generated 38206 % 7.13/7.52 Forward subsumed 19339 % 7.13/7.52 Deleted by weight 0 % 7.13/7.52 Deleted by variable count 0 % 7.13/7.52 Kept 18866 % 7.13/7.52 New demodulators 2280 % 7.13/7.52 Back demodulated 1453 % 7.13/7.52 Ordered paramod prunes 0 % 7.13/7.52 Basic paramod prunes 3250950 % 7.13/7.52 Prime paramod prunes 12 % 7.13/7.52 Semantic prunes 0 % 7.13/7.52 % 7.13/7.52 Rewrite attmepts 1227277 % 7.13/7.52 Rewrites 38309 % 7.13/7.52 % 7.13/7.52 FPA overloads 0 % 7.13/7.52 FPA underloads 0 % 7.13/7.52 % 7.13/7.52 Usable size 0 % 7.13/7.52 Sos size 17519 % 7.13/7.52 Demodulators size 1647 % 7.13/7.52 Passive size 0 % 7.13/7.52 Disabled size 1453 % 7.13/7.52 % 7.13/7.52 Proofs found 0 % 7.13/7.52 % 7.13/7.52 ----------- times (seconds) ----------- Tue May 5 12:57:37 2026 % 7.13/7.52 % 7.13/7.52 user CPU time 4.25 (0 hr, 0 min, 4 sec) % 7.13/7.52 system CPU time 2.16 (0 hr, 0 min, 2 sec) % 7.13/7.52 wall-clock time 6 (0 hr, 0 min, 6 sec) % 7.13/7.52 input time 0.00 % 7.13/7.52 paramodulation time 0.61 % 7.13/7.52 demodulation time 0.17 % 7.13/7.52 orient time 0.09 % 7.13/7.52 weigh time 0.02 % 7.13/7.52 forward subsume time 0.07 % 7.13/7.52 back demod find time 0.03 % 7.13/7.52 conflict time 0.01 % 7.13/7.52 LRPO time 0.07 % 7.13/7.52 store clause time 2.46 % 7.13/7.52 disable clause time 0.10 % 7.13/7.52 prime paramod time 0.01 % 7.13/7.52 semantics time 0.00 % 7.13/7.52 % 7.13/7.52 EQP interrupted %------------------------------------------------------------------------------