0.08/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Cse53da9wX true 0.13/0.34 % Computer : n018.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 12:59:24 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.58/0.62 % Total configuration time : 828 0.58/0.62 % Estimated wc time : 983 0.58/0.62 % Estimated cpu time (8 cpus) : 122.875 1.31/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 1.31/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 1.31/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 1.31/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 1.31/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 1.31/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 1.31/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 1.31/0.73 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 1.41/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 126.80/16.70 % Solved by lams/30_b.l.sh. 126.80/16.70 % running E: timeout 14 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.Cse53da9wX/e_inputeee79e --cpu-limit=12 --auto -s -p 126.80/16.70 % done 850 iterations in 15.869s 126.80/16.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 126.80/16.70 % SZS output start Refutation 126.80/16.70 thf(real_type, type, real: $tType). 126.80/16.70 thf(poly_real_type, type, poly_real: $tType). 126.80/16.70 thf(int_type, type, int: $tType). 126.80/16.70 thf(nat_type, type, nat: $tType). 126.80/16.70 thf(set_real_type, type, set_real: $tType). 126.80/16.70 thf(abs_abs_real_type, type, abs_abs_real: real > real). 126.80/16.70 thf(coeff_real_type, type, coeff_real: poly_real > nat > real). 126.80/16.70 thf(power_power_real_type, type, power_power_real: real > nat > real). 126.80/16.70 thf(member_real_type, type, member_real: real > set_real > $o). 126.80/16.70 thf(degree_real_type, type, degree_real: poly_real > nat). 126.80/16.70 thf(power_power_int_type, type, power_power_int: int > nat > int). 126.80/16.70 thf(ring_11511526659y_real_type, type, ring_11511526659y_real: int > poly_real). 126.80/16.70 thf(zero_zero_int_type, type, zero_zero_int: int). 126.80/16.70 thf(poly_real2_type, type, poly_real2: poly_real > real > real). 126.80/16.70 thf(ring_1_Ints_real_type, type, ring_1_Ints_real: set_real). 126.80/16.70 thf(divide_divide_real_type, type, divide_divide_real: real > real > real). 126.80/16.70 thf(zero_zero_nat_type, type, zero_zero_nat: nat). 126.80/16.70 thf(a2_type, type, a2: int). 126.80/16.70 thf(ring_1_of_int_real_type, type, ring_1_of_int_real: int > real). 126.80/16.70 thf(p_type, type, p: poly_real). 126.80/16.70 thf(one_one_real_type, type, one_one_real: real). 126.80/16.70 thf(zero_zero_real_type, type, zero_zero_real: real). 126.80/16.70 thf(n_type, type, n: nat). 126.80/16.70 thf(ord_less_eq_real_type, type, ord_less_eq_real: real > real > $o). 126.80/16.70 thf(b_type, type, b: int). 126.80/16.70 thf(ord_less_int_type, type, ord_less_int: int > int > $o). 126.80/16.70 thf('#sk22_type', type, '#sk22': poly_real > nat). 126.80/16.70 thf(fact_5_no__root, axiom, 126.80/16.70 (( poly_real2 @ 126.80/16.70 p @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) ) != 126.80/16.70 ( zero_zero_real ))). 126.80/16.70 thf(zip_derived_cl226, plain, 126.80/16.70 (((poly_real2 @ p @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ a2) @ 126.80/16.70 (ring_1_of_int_real @ b))) 126.80/16.70 != (zero_zero_real))), 126.80/16.70 inference('cnf', [status(esa)], [fact_5_no__root])). 126.80/16.70 thf(fact_3_b, axiom, (ord_less_int @ zero_zero_int @ b)). 126.80/16.70 thf(zip_derived_cl104, plain, ( (ord_less_int @ zero_zero_int @ b)), 126.80/16.70 inference('cnf', [status(esa)], [fact_3_b])). 126.80/16.70 thf(fact_328_power__one__over, axiom, 126.80/16.70 (![A:real,N:nat]: 126.80/16.70 ( ( power_power_real @ ( divide_divide_real @ one_one_real @ A ) @ N ) = 126.80/16.70 ( divide_divide_real @ one_one_real @ ( power_power_real @ A @ N ) ) ))). 126.80/16.70 thf(zip_derived_cl145, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : real]: 126.80/16.70 (((!!) @ (^[Y1 : nat]: 126.80/16.70 (((power_power_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ Y0) @ 126.80/16.70 Y1) = (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ Y0 @ Y1))))))))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_328_power__one__over])). 126.80/16.70 thf(zip_derived_cl482, plain, 126.80/16.70 (![X2 : real]: 126.80/16.70 (((!!) @ (^[Y0 : nat]: 126.80/16.70 (((power_power_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ X2) @ Y0) = 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ X2 @ Y0)))))))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl145])). 126.80/16.70 thf(zip_derived_cl483, plain, 126.80/16.70 (![X2 : real, X4 : nat]: 126.80/16.70 (((power_power_real @ (divide_divide_real @ one_one_real @ X2) @ 126.80/16.70 X4) = (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ X2 @ X4))))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl482])). 126.80/16.70 thf(zip_derived_cl484, plain, 126.80/16.70 (![X2 : real, X4 : nat]: 126.80/16.70 ((power_power_real @ (divide_divide_real @ one_one_real @ X2) @ X4) 126.80/16.70 = (divide_divide_real @ one_one_real @ (power_power_real @ X2 @ X4)))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl483])). 126.80/16.70 thf(conj_0, conjecture, 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 one_one_real @ 126.80/16.70 ( power_power_real @ ( ring_1_of_int_real @ b ) @ ( degree_real @ p ) ) ) @ 126.80/16.70 ( abs_abs_real @ 126.80/16.70 ( poly_real2 @ 126.80/16.70 p @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) ) ))). 126.80/16.70 thf(zf_stmt_0, negated_conjecture, 126.80/16.70 (~( ord_less_eq_real @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 one_one_real @ 126.80/16.70 ( power_power_real @ ( ring_1_of_int_real @ b ) @ ( degree_real @ p ) ) ) @ 126.80/16.70 ( abs_abs_real @ 126.80/16.70 ( poly_real2 @ 126.80/16.70 p @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 ( ring_1_of_int_real @ a2 ) @ ( ring_1_of_int_real @ b ) ) ) ) )), 126.80/16.70 inference('cnf.neg', [status(esa)], [conj_0])). 126.80/16.70 thf(zip_derived_cl291, plain, 126.80/16.70 (~ (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ (ring_1_of_int_real @ b) @ (degree_real @ p))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ p @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ a2) @ 126.80/16.70 (ring_1_of_int_real @ b)))))), 126.80/16.70 inference('cnf', [status(esa)], [zf_stmt_0])). 126.80/16.70 thf(fact_6_n__def, axiom, (( n ) = ( degree_real @ p ))). 126.80/16.70 thf(zip_derived_cl98, plain, (((n) = (degree_real @ p))), 126.80/16.70 inference('cnf', [status(esa)], [fact_6_n__def])). 126.80/16.70 thf(zip_derived_cl297, plain, 126.80/16.70 (~ (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ (ring_1_of_int_real @ b) @ n)) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ p @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ a2) @ 126.80/16.70 (ring_1_of_int_real @ b)))))), 126.80/16.70 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl98])). 126.80/16.70 thf(zip_derived_cl484, plain, 126.80/16.70 (![X2 : real, X4 : nat]: 126.80/16.70 ((power_power_real @ (divide_divide_real @ one_one_real @ X2) @ X4) 126.80/16.70 = (divide_divide_real @ one_one_real @ (power_power_real @ X2 @ X4)))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl483])). 126.80/16.70 thf(zip_derived_cl485, plain, 126.80/16.70 (~ (ord_less_eq_real @ 126.80/16.70 (power_power_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ b)) @ n) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ p @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ a2) @ 126.80/16.70 (ring_1_of_int_real @ b)))))), 126.80/16.70 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl484])). 126.80/16.70 thf(zip_derived_cl98, plain, (((n) = (degree_real @ p))), 126.80/16.70 inference('cnf', [status(esa)], [fact_6_n__def])). 126.80/16.70 thf(fact_2_p_I1_J, axiom, 126.80/16.70 (![I:nat]: ( member_real @ ( coeff_real @ p @ I ) @ ring_1_Ints_real ))). 126.80/16.70 thf(zip_derived_cl2, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : nat]: 126.80/16.70 (member_real @ (coeff_real @ p @ Y0) @ ring_1_Ints_real))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_2_p_I1_J])). 126.80/16.70 thf(zip_derived_cl302, plain, 126.80/16.70 (![X2 : nat]: (member_real @ (coeff_real @ p @ X2) @ ring_1_Ints_real)), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 126.80/16.70 thf(fact_59_lead__coeff__of__int, axiom, 126.80/16.70 (![K:int]: 126.80/16.70 ( ( coeff_real @ 126.80/16.70 ( ring_11511526659y_real @ K ) @ 126.80/16.70 ( degree_real @ ( ring_11511526659y_real @ K ) ) ) = 126.80/16.70 ( ring_1_of_int_real @ K ) ))). 126.80/16.70 thf(zip_derived_cl247, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : int]: 126.80/16.70 (((coeff_real @ (ring_11511526659y_real @ Y0) @ 126.80/16.70 (degree_real @ (ring_11511526659y_real @ Y0))) = 126.80/16.70 (ring_1_of_int_real @ Y0))))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_59_lead__coeff__of__int])). 126.80/16.70 thf(zip_derived_cl420, plain, 126.80/16.70 (![X2 : int]: 126.80/16.70 (((coeff_real @ (ring_11511526659y_real @ X2) @ 126.80/16.70 (degree_real @ (ring_11511526659y_real @ X2))) = 126.80/16.70 (ring_1_of_int_real @ X2)))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl247])). 126.80/16.70 thf(zip_derived_cl421, plain, 126.80/16.70 (![X2 : int]: 126.80/16.70 ((coeff_real @ (ring_11511526659y_real @ X2) @ 126.80/16.70 (degree_real @ (ring_11511526659y_real @ X2))) 126.80/16.70 = (ring_1_of_int_real @ X2))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl420])). 126.80/16.70 thf(fact_204_degree__of__int, axiom, 126.80/16.70 (![K:int]: 126.80/16.70 ( ( degree_real @ ( ring_11511526659y_real @ K ) ) = ( zero_zero_nat ) ))). 126.80/16.70 thf(zip_derived_cl82, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : int]: 126.80/16.70 (((degree_real @ (ring_11511526659y_real @ Y0)) = 126.80/16.70 (zero_zero_nat))))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_204_degree__of__int])). 126.80/16.70 thf(zip_derived_cl313, plain, 126.80/16.70 (![X2 : int]: 126.80/16.70 (((degree_real @ (ring_11511526659y_real @ X2)) = (zero_zero_nat)))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl82])). 126.80/16.70 thf(zip_derived_cl314, plain, 126.80/16.70 (![X2 : int]: 126.80/16.70 ((degree_real @ (ring_11511526659y_real @ X2)) = (zero_zero_nat))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl313])). 126.80/16.70 thf(fact_110_poly__0__coeff__0, axiom, 126.80/16.70 (![P:poly_real]: 126.80/16.70 ( ( poly_real2 @ P @ zero_zero_real ) = ( coeff_real @ P @ zero_zero_nat ) ))). 126.80/16.70 thf(zip_derived_cl15, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : poly_real]: 126.80/16.70 (((poly_real2 @ Y0 @ zero_zero_real) = (coeff_real @ Y0 @ 126.80/16.70 zero_zero_nat))))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_110_poly__0__coeff__0])). 126.80/16.70 thf(zip_derived_cl338, plain, 126.80/16.70 (![X2 : poly_real]: 126.80/16.70 (((poly_real2 @ X2 @ zero_zero_real) = (coeff_real @ X2 @ 126.80/16.70 zero_zero_nat)))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 126.80/16.70 thf(zip_derived_cl339, plain, 126.80/16.70 (![X2 : poly_real]: 126.80/16.70 ((poly_real2 @ X2 @ zero_zero_real) 126.80/16.70 = (coeff_real @ X2 @ zero_zero_nat))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl338])). 126.80/16.70 thf(zip_derived_cl422, plain, 126.80/16.70 (![X2 : int]: 126.80/16.70 ((poly_real2 @ (ring_11511526659y_real @ X2) @ zero_zero_real) 126.80/16.70 = (ring_1_of_int_real @ X2))), 126.80/16.70 inference('demod', [status(thm)], 126.80/16.70 [zip_derived_cl421, zip_derived_cl314, zip_derived_cl339])). 126.80/16.70 thf(fact_23_of__int__power, axiom, 126.80/16.70 (![Z:int,N:nat]: 126.80/16.70 ( ( ring_1_of_int_real @ ( power_power_int @ Z @ N ) ) = 126.80/16.70 ( power_power_real @ ( ring_1_of_int_real @ Z ) @ N ) ))). 126.80/16.70 thf(zip_derived_cl185, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : int]: 126.80/16.70 (((!!) @ (^[Y1 : nat]: 126.80/16.70 (((ring_1_of_int_real @ 126.80/16.70 (power_power_int @ Y0 @ Y1)) = 126.80/16.70 (power_power_real @ 126.80/16.70 (ring_1_of_int_real @ Y0) @ Y1)))))))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_23_of__int__power])). 126.80/16.70 thf(zip_derived_cl510, plain, 126.80/16.70 (![X2 : int]: 126.80/16.70 (((!!) @ (^[Y0 : nat]: 126.80/16.70 (((ring_1_of_int_real @ (power_power_int @ X2 @ Y0)) = 126.80/16.70 (power_power_real @ (ring_1_of_int_real @ X2) @ Y0))))))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl185])). 126.80/16.70 thf(zip_derived_cl511, plain, 126.80/16.70 (![X2 : int, X4 : nat]: 126.80/16.70 (((ring_1_of_int_real @ (power_power_int @ X2 @ X4)) = 126.80/16.70 (power_power_real @ (ring_1_of_int_real @ X2) @ X4)))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl510])). 126.80/16.70 thf(zip_derived_cl512, plain, 126.80/16.70 (![X2 : int, X4 : nat]: 126.80/16.70 ((ring_1_of_int_real @ (power_power_int @ X2 @ X4)) 126.80/16.70 = (power_power_real @ (ring_1_of_int_real @ X2) @ X4))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl511])). 126.80/16.70 thf(fact_154_int__poly__rat__no__root__ge, axiom, 126.80/16.70 (![P:poly_real,B:int,A:int]: 126.80/16.70 ( ( ![N2:nat]: 126.80/16.70 ( member_real @ ( coeff_real @ P @ N2 ) @ ring_1_Ints_real ) ) => 126.80/16.70 ( ( ord_less_int @ zero_zero_int @ B ) => 126.80/16.70 ( ( ( poly_real2 @ 126.80/16.70 P @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 ( ring_1_of_int_real @ A ) @ ( ring_1_of_int_real @ B ) ) ) != 126.80/16.70 ( zero_zero_real ) ) => 126.80/16.70 ( ord_less_eq_real @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 one_one_real @ 126.80/16.70 ( power_power_real @ 126.80/16.70 ( ring_1_of_int_real @ B ) @ ( degree_real @ P ) ) ) @ 126.80/16.70 ( abs_abs_real @ 126.80/16.70 ( poly_real2 @ 126.80/16.70 P @ 126.80/16.70 ( divide_divide_real @ 126.80/16.70 ( ring_1_of_int_real @ A ) @ ( ring_1_of_int_real @ B ) ) ) ) ) ) ) ))). 126.80/16.70 thf(zip_derived_cl246, plain, 126.80/16.70 ( (((!!) @ (^[Y0 : poly_real]: 126.80/16.70 (((!!) @ (^[Y1 : int]: 126.80/16.70 (((!!) @ (^[Y2 : int]: 126.80/16.70 (((((!!) @ (^[Y3 : nat]: 126.80/16.70 (member_real @ 126.80/16.70 (coeff_real @ Y0 @ 126.80/16.70 Y3) @ 126.80/16.70 ring_1_Ints_real)))) => 126.80/16.70 (((ord_less_int @ 126.80/16.70 zero_zero_int @ Y1) => 126.80/16.70 (((((poly_real2 @ Y0 @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 (ring_1_of_int_real @ Y2) @ 126.80/16.70 (ring_1_of_int_real @ Y1))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 one_one_real @ 126.80/16.70 (power_power_real @ 126.80/16.70 (ring_1_of_int_real @ Y1) @ 126.80/16.70 (degree_real @ Y0))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ Y0 @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 (ring_1_of_int_real @ Y2) @ 126.80/16.70 (ring_1_of_int_real @ Y1))))))))))))))))))))), 126.80/16.70 inference('cnf', [status(esa)], [fact_154_int__poly__rat__no__root__ge])). 126.80/16.70 thf(zip_derived_cl1325, plain, 126.80/16.70 (![X2 : poly_real]: 126.80/16.70 (((!!) @ (^[Y0 : int]: 126.80/16.70 (((!!) @ (^[Y1 : int]: 126.80/16.70 (((((!!) @ (^[Y2 : nat]: 126.80/16.70 (member_real @ 126.80/16.70 (coeff_real @ X2 @ Y2) @ 126.80/16.70 ring_1_Ints_real)))) => 126.80/16.70 (((ord_less_int @ zero_zero_int @ Y0) => 126.80/16.70 (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 (ring_1_of_int_real @ Y1) @ 126.80/16.70 (ring_1_of_int_real @ Y0))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ 126.80/16.70 (ring_1_of_int_real @ Y0) @ 126.80/16.70 (degree_real @ X2))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 (ring_1_of_int_real @ Y1) @ 126.80/16.70 (ring_1_of_int_real @ Y0)))))))))))))))))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl246])). 126.80/16.70 thf(zip_derived_cl1326, plain, 126.80/16.70 (![X2 : poly_real, X4 : int]: 126.80/16.70 (((!!) @ (^[Y0 : int]: 126.80/16.70 (((((!!) @ (^[Y1 : nat]: 126.80/16.70 (member_real @ (coeff_real @ X2 @ Y1) @ 126.80/16.70 ring_1_Ints_real)))) => 126.80/16.70 (((ord_less_int @ zero_zero_int @ X4) => 126.80/16.70 (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 (ring_1_of_int_real @ Y0) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ (ring_1_of_int_real @ X4) @ 126.80/16.70 (degree_real @ X2))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ 126.80/16.70 (ring_1_of_int_real @ Y0) @ 126.80/16.70 (ring_1_of_int_real @ X4))))))))))))))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1325])). 126.80/16.70 thf(zip_derived_cl1327, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (((((!!) @ (^[Y0 : nat]: 126.80/16.70 (member_real @ (coeff_real @ X2 @ Y0) @ 126.80/16.70 ring_1_Ints_real)))) => 126.80/16.70 (((ord_less_int @ zero_zero_int @ X4) => 126.80/16.70 (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (power_power_real @ (ring_1_of_int_real @ X4) @ 126.80/16.70 (degree_real @ X2))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4)))))))))))), 126.80/16.70 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1326])). 126.80/16.70 thf(zip_derived_cl512, plain, 126.80/16.70 (![X2 : int, X4 : nat]: 126.80/16.70 ((ring_1_of_int_real @ (power_power_int @ X2 @ X4)) 126.80/16.70 = (power_power_real @ (ring_1_of_int_real @ X2) @ X4))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl511])). 126.80/16.70 thf(zip_derived_cl1328, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (((((!!) @ (^[Y0 : nat]: 126.80/16.70 (member_real @ (coeff_real @ X2 @ Y0) @ 126.80/16.70 ring_1_Ints_real)))) => 126.80/16.70 (((ord_less_int @ zero_zero_int @ X4) => 126.80/16.70 (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (ring_1_of_int_real @ 126.80/16.70 (power_power_int @ X4 @ (degree_real @ X2)))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4)))))))))))), 126.80/16.70 inference('demod', [status(thm)], [zip_derived_cl1327, zip_derived_cl512])). 126.80/16.70 thf(zip_derived_cl1329, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (~ (((!!) @ (^[Y0 : nat]: 126.80/16.70 (member_real @ (coeff_real @ X2 @ Y0) @ 126.80/16.70 ring_1_Ints_real)))) 126.80/16.70 | (((ord_less_int @ zero_zero_int @ X4) => 126.80/16.70 (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (ring_1_of_int_real @ 126.80/16.70 (power_power_int @ X4 @ (degree_real @ X2)))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))))))))))), 126.80/16.70 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1328])). 126.80/16.70 thf(zip_derived_cl1330, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (~ (member_real @ (coeff_real @ X2 @ ('#sk22' @ X2)) @ 126.80/16.70 ring_1_Ints_real) 126.80/16.70 | (((ord_less_int @ zero_zero_int @ X4) => 126.80/16.70 (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (ring_1_of_int_real @ 126.80/16.70 (power_power_int @ X4 @ (degree_real @ X2)))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))))))))))), 126.80/16.70 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1329])). 126.80/16.70 thf(zip_derived_cl1331, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (~ (ord_less_int @ zero_zero_int @ X4) 126.80/16.70 | (((((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) => 126.80/16.70 (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (ring_1_of_int_real @ 126.80/16.70 (power_power_int @ X4 @ (degree_real @ X2)))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))))))) 126.80/16.70 | ~ (member_real @ (coeff_real @ X2 @ ('#sk22' @ X2)) @ 126.80/16.70 ring_1_Ints_real))), 126.80/16.70 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1330])). 126.80/16.70 thf(zip_derived_cl1332, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (~ (((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) != 126.80/16.70 (zero_zero_real))) 126.80/16.70 | (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (ring_1_of_int_real @ 126.80/16.70 (power_power_int @ X4 @ (degree_real @ X2)))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))))) 126.80/16.70 | ~ (member_real @ (coeff_real @ X2 @ ('#sk22' @ X2)) @ 126.80/16.70 ring_1_Ints_real) 126.80/16.70 | ~ (ord_less_int @ zero_zero_int @ X4))), 126.80/16.70 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1331])). 126.80/16.70 thf(zip_derived_cl1333, plain, 126.80/16.70 (![X2 : poly_real, X4 : int, X6 : int]: 126.80/16.70 (((poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))) 126.80/16.70 = (zero_zero_real)) 126.80/16.70 | (ord_less_eq_real @ 126.80/16.70 (divide_divide_real @ one_one_real @ 126.80/16.70 (ring_1_of_int_real @ 126.80/16.70 (power_power_int @ X4 @ (degree_real @ X2)))) @ 126.80/16.70 (abs_abs_real @ 126.80/16.70 (poly_real2 @ X2 @ 126.80/16.70 (divide_divide_real @ (ring_1_of_int_real @ X6) @ 126.80/16.70 (ring_1_of_int_real @ X4))))) 126.80/16.70 | ~ (member_real @ (coeff_real @ X2 @ ('#sk22' @ X2)) @ 126.80/16.70 ring_1_Ints_real) 126.80/16.70 | ~ (ord_less_int @ zero_zero_int @ X4))), 126.80/16.70 inference('simplify nested equalities', [status(thm)], 126.80/16.70 [zip_derived_cl1332])). 126.80/16.70 thf(zip_derived_cl16525, plain, ($false), 126.80/16.70 inference('eprover', [status(thm)], 126.80/16.70 [zip_derived_cl226, zip_derived_cl104, zip_derived_cl484, 126.80/16.70 zip_derived_cl485, zip_derived_cl98, zip_derived_cl302, 126.80/16.70 zip_derived_cl422, zip_derived_cl512, zip_derived_cl1333])). 126.80/16.70 126.80/16.70 % SZS output end Refutation 126.80/16.70 126.80/16.70 126.80/16.70 % Terminating... 126.80/16.77 % Runner terminated. 126.80/16.78 % Zipperpin 1.5 exiting 126.80/16.79 EOF