0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.20 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.De1Cop5iwv 0.20/0.42 % Computer : n020.cluster.edu 0.20/0.42 % Model : x86_64 x86_64 0.20/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.42 % Memory : 8042.1875MB 0.20/0.42 % OS : Linux 3.10.0-693.el7.x86_64 0.20/0.42 % CPULimit : 960 0.20/0.42 % DateTime : Thu Jul 2 06:40:17 EDT 2020 0.20/0.42 % CPUTime : 0.20/0.42 % Running portfolio for 120 s 0.20/0.42 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.20/0.42 % Number of cores: 8 0.20/0.42 % Python version: Python 3.6.8 0.20/0.43 % Running in FO mode 2.50/2.71 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 2.50/2.71 % Solved by: fo/fo7.sh 2.50/2.71 To remain in the chosen logic fragment, unification with booleans has been disabled. 2.50/2.71 % done 931 iterations in 2.195s 2.50/2.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 2.50/2.71 % SZS output start Refutation 2.50/2.71 tff(conj_0, conjecture, 2.50/2.71 (hAPP(nat,int, 2.50/2.71 power_power(int, 2.50/2.71 hAPP(int,int,plus_plus(int,one_one(int)), 2.50/2.71 hAPP(nat,int,semiring_1_of_nat(int),n))), 2.50/2.71 number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != 2.50/2.71 zero_zero(int))). 2.50/2.71 tff(zf_stmt_0, negated_conjecture, 2.50/2.71 (hAPP(nat,int, 2.50/2.71 power_power(int, 2.50/2.71 hAPP(int,int,plus_plus(int,one_one(int)), 2.50/2.71 hAPP(nat,int,semiring_1_of_nat(int),n))), 2.50/2.71 number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = 2.50/2.71 zero_zero(int))). 2.50/2.71 tff('0', plain, 2.50/2.71 hAPP(nat, int, 2.50/2.71 power_power(int, 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n))), 2.50/2.71 number_number_of(nat, hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))) 2.50/2.71 = zero_zero(int), 2.50/2.71 inference('cnf', [status(esa)], [zf_stmt_0])). 2.50/2.71 tff(fact_37_one__is__num__one, axiom, 2.50/2.71 (number_number_of(int,hAPP(int,int,bit1,pls)) = one_one(int))). 2.50/2.71 tff('1', plain, 2.50/2.71 number_number_of(int, hAPP(int, int, bit1, pls)) = one_one(int), 2.50/2.71 inference('cnf', [status(esa)], [fact_37_one__is__num__one])). 2.50/2.71 tff(fact_119_number__of__is__id, axiom, 2.50/2.71 (![K]: (number_number_of(int,K) = K))). 2.50/2.71 tff('2', plain, ![X37]: number_number_of(int, X37) = X37, 2.50/2.71 inference('cnf', [status(esa)], [fact_119_number__of__is__id])). 2.50/2.71 tff('3', plain, hAPP(int, int, bit1, pls) = one_one(int), 2.50/2.71 inference('demod', [status(thm)], ['1', '2'])). 2.50/2.71 tff(fact_73_Pls__def, axiom, (pls = zero_zero(int))). 2.50/2.71 tff('4', plain, pls = zero_zero(int), 2.50/2.71 inference('cnf', [status(esa)], [fact_73_Pls__def])). 2.50/2.71 tff('5', plain, 2.50/2.71 hAPP(nat, int, 2.50/2.71 power_power(int, 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n))), 2.50/2.71 number_number_of(nat, hAPP(int, int, bit0, one_one(int)))) 2.50/2.71 = pls, 2.50/2.71 inference('demod', [status(thm)], ['0', '3', '4'])). 2.50/2.71 tff(fact_184_power__eq__0__iff, axiom, 2.50/2.71 (![X_a]: 2.50/2.71 ((zero_neq_one(X_a) & no_zero_divisors(X_a) & mult_zero(X_a) & 2.50/2.71 power(X_a)) => 2.50/2.71 (![A_2,Na]: 2.50/2.71 ((zero_zero(X_a) = hAPP(nat,X_a,power_power(X_a,A_2),Na)) <=> 2.50/2.71 ((ti(X_a,A_2) = zero_zero(X_a)) & (Na != zero_zero(nat)))))))). 2.50/2.71 tff('6', plain, 2.50/2.71 ![X485, X486, X488]: 2.50/2.71 (zero_zero(X485) != hAPP(nat, X485, power_power(X485, X486), X488) 2.50/2.71 | ti(X485, X486) = zero_zero(X485) 2.50/2.71 | ~ power(X485) 2.50/2.71 | ~ mult_zero(X485) 2.50/2.71 | ~ no_zero_divisors(X485) 2.50/2.71 | ~ zero_neq_one(X485)), 2.50/2.71 inference('cnf', [status(esa)], [fact_184_power__eq__0__iff])). 2.50/2.71 tff('7', plain, 2.50/2.71 (zero_zero(int) != pls 2.50/2.71 | ~ zero_neq_one(int) 2.50/2.71 | ~ no_zero_divisors(int) 2.50/2.71 | ~ mult_zero(int) 2.50/2.71 | ~ power(int) 2.50/2.71 | ti(int, 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n))) 2.50/2.71 = zero_zero(int)), 2.50/2.71 inference('sup-', [status(thm)], ['5', '6'])). 2.50/2.71 tff('8', plain, pls = zero_zero(int), 2.50/2.71 inference('cnf', [status(esa)], [fact_73_Pls__def])). 2.50/2.71 tff(arity_Int_Oint___Rings_Ozero__neq__one, axiom, (zero_neq_one(int))). 2.50/2.71 tff('9', plain, zero_neq_one(int), 2.50/2.71 inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Ozero__neq__one])). 2.50/2.71 tff(arity_Int_Oint___Rings_Ono__zero__divisors, axiom, 2.50/2.71 (no_zero_divisors(int))). 2.50/2.71 tff('10', plain, no_zero_divisors(int), 2.50/2.71 inference('cnf', [status(esa)], 2.50/2.71 [arity_Int_Oint___Rings_Ono__zero__divisors])). 2.50/2.71 tff(arity_Int_Oint___Rings_Omult__zero, axiom, (mult_zero(int))). 2.50/2.71 tff('11', plain, mult_zero(int), 2.50/2.71 inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Omult__zero])). 2.50/2.71 tff(arity_Int_Oint___Power_Opower, axiom, (power(int))). 2.50/2.71 tff('12', plain, power(int), 2.50/2.71 inference('cnf', [status(esa)], [arity_Int_Oint___Power_Opower])). 2.50/2.71 tff('13', plain, ![X37]: number_number_of(int, X37) = X37, 2.50/2.71 inference('cnf', [status(esa)], [fact_119_number__of__is__id])). 2.50/2.71 tff(tsy_c_Int_Onumber__class_Onumber__of_arg1, axiom, 2.50/2.71 (![B_1_1,X_a]: 2.50/2.71 (number(X_a) => 2.50/2.71 (number_number_of(X_a,B_1_1) = number_number_of(X_a,ti(int,B_1_1)))))). 2.50/2.71 tff('14', plain, 2.50/2.71 ![X900, X901]: 2.50/2.71 (number_number_of(X900, X901) = number_number_of(X900, ti(int, X901)) 2.50/2.71 | ~ number(X900)), 2.50/2.71 inference('cnf', [status(esa)], 2.50/2.71 [tsy_c_Int_Onumber__class_Onumber__of_arg1])). 2.50/2.71 tff('15', plain, 2.50/2.71 ![X0]: (number_number_of(int, X0) = ti(int, X0) | ~ number(int)), 2.50/2.71 inference('sup+', [status(thm)], ['13', '14'])). 2.50/2.71 tff('16', plain, ![X37]: number_number_of(int, X37) = X37, 2.50/2.71 inference('cnf', [status(esa)], [fact_119_number__of__is__id])). 2.50/2.71 tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))). 2.50/2.71 tff('17', plain, number(int), 2.50/2.71 inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])). 2.50/2.71 tff('18', plain, ![X0]: X0 = ti(int, X0), 2.50/2.71 inference('demod', [status(thm)], ['15', '16', '17'])). 2.50/2.71 tff('19', plain, pls = zero_zero(int), 2.50/2.71 inference('cnf', [status(esa)], [fact_73_Pls__def])). 2.50/2.71 tff('20', plain, 2.50/2.71 (pls != pls 2.50/2.71 | hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n)) 2.50/2.71 = pls), 2.50/2.71 inference('demod', [status(thm)], 2.50/2.71 ['7', '8', '9', '10', '11', '12', '18', '19'])). 2.50/2.71 tff('21', plain, 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n)) 2.50/2.71 = pls, 2.50/2.71 inference('simplify', [status(thm)], ['20'])). 2.50/2.71 tff(fact_0_n1pos, axiom, 2.50/2.71 (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)), 2.50/2.71 hAPP(int,int,plus_plus(int,one_one(int)), 2.50/2.71 hAPP(nat,int,semiring_1_of_nat(int),n)))))). 2.50/2.71 tff('22', plain, 2.50/2.71 hBOOL( 2.50/2.71 hAPP(int, bool, 2.50/2.71 hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n)))), 2.50/2.71 inference('cnf', [status(esa)], [fact_0_n1pos])). 2.50/2.71 tff('23', plain, pls = zero_zero(int), 2.50/2.71 inference('cnf', [status(esa)], [fact_73_Pls__def])). 2.50/2.71 tff('24', plain, 2.50/2.71 hBOOL( 2.50/2.71 hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), pls), 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n)))), 2.50/2.71 inference('demod', [status(thm)], ['22', '23'])). 2.50/2.71 tff(fact_417_less__imp__neq, axiom, 2.50/2.71 (![X_a]: 2.50/2.71 (order(X_a) => 2.50/2.71 (![X,Y]: 2.50/2.71 (hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)) => 2.50/2.71 (ti(X_a,X) != ti(X_a,Y))))))). 2.50/2.71 tff('25', plain, 2.50/2.71 ![X457, X458, X459]: 2.50/2.71 (~ hBOOL( 2.50/2.71 hAPP(X457, bool, 2.50/2.71 hAPP(X457, fun(X457, bool), ord_less(X457), X458), X459)) 2.50/2.71 | ti(X457, X458) != ti(X457, X459) 2.50/2.71 | ~ order(X457)), 2.50/2.71 inference('cnf', [status(esa)], [fact_417_less__imp__neq])). 2.50/2.71 tff('26', plain, 2.50/2.71 (~ order(int) 2.50/2.71 | ti(int, pls) 2.50/2.71 != ti(int, 2.50/2.71 hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n)))), 2.50/2.71 inference('sup-', [status(thm)], ['24', '25'])). 2.50/2.71 tff(arity_Int_Oint___Orderings_Oorder, axiom, (order(int))). 2.50/2.71 tff('27', plain, order(int), 2.50/2.71 inference('cnf', [status(esa)], [arity_Int_Oint___Orderings_Oorder])). 2.50/2.71 tff('28', plain, ![X0]: X0 = ti(int, X0), 2.50/2.71 inference('demod', [status(thm)], ['15', '16', '17'])). 2.50/2.71 tff('29', plain, ![X0]: X0 = ti(int, X0), 2.50/2.71 inference('demod', [status(thm)], ['15', '16', '17'])). 2.50/2.71 tff('30', plain, 2.50/2.71 pls 2.50/2.71 != hAPP(int, int, plus_plus(int, one_one(int)), 2.50/2.71 hAPP(nat, int, semiring_1_of_nat(int), n)), 2.50/2.71 inference('demod', [status(thm)], ['26', '27', '28', '29'])). 2.50/2.71 tff('31', plain, $false, 2.50/2.71 inference('simplify_reflect-', [status(thm)], ['21', '30'])). 2.50/2.71 2.50/2.71 % SZS output end Refutation 2.50/2.71 2.55/2.72 % Zipperpin 1.5 exiting 2.55/2.72 EOF