0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3SgWwaWh5V true 0.13/0.34 % Computer : n012.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 : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 09:28:22 EDT 2023 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1440 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 0.13/0.35 % Running in HO mode 0.49/0.61 % Total configuration time : 828 0.49/0.61 % Estimated wc time : 1656 0.49/0.61 % Estimated cpu time (8 cpus) : 207.0 0.52/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.52/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.52/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.52/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.53/1.00 % Solved by lams/35_full_unif4.sh. 0.53/1.00 % done 89 iterations in 0.258s 0.53/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.53/1.00 % SZS output start Refutation 0.53/1.00 thf('type/realax/real_type', type, 'type/realax/real': $tType). 0.53/1.00 thf('type/nums/num_type', type, 'type/nums/num': $tType). 0.53/1.00 thf('const/realax/real_mul_type', type, 'const/realax/real_mul': 'type/realax/real' > 0.53/1.00 'type/realax/real' > 'type/realax/real'). 0.53/1.00 thf('#sk43_type', type, '#sk43': ('type/realax/real' > 'type/realax/real') > 0.53/1.00 'type/realax/real' > 'type/realax/real'). 0.53/1.00 thf('const/iterate/polynomial_function_type', type, 'const/iterate/polynomial_function': 0.53/1.00 ('type/realax/real' > 'type/realax/real') > $o). 0.53/1.00 thf('#sk418_type', type, '#sk418': 'type/realax/real' > 'type/realax/real'). 0.53/1.00 thf('const/realax/real_of_num_type', type, 'const/realax/real_of_num': 0.53/1.00 'type/nums/num' > 'type/realax/real'). 0.53/1.00 thf('const/nums/BIT1_type', type, 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num'). 0.53/1.00 thf('#sk1_type', type, '#sk1': 'type/realax/real' > 'type/realax/real'). 0.53/1.00 thf('const/nums/_0_type', type, 'const/nums/_0': 'type/nums/num'). 0.53/1.00 thf('const/nums/NUMERAL_type', type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num'). 0.53/1.00 thf('const/realax/real_neg_type', type, 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real'). 0.53/1.00 thf('thm/realax/REAL_MUL_LID_', axiom, 0.53/1.00 (![A:'type/realax/real']: 0.53/1.00 ( ( 'const/realax/real_mul' @ 0.53/1.00 ( 'const/realax/real_of_num' @ 0.53/1.00 ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ 0.53/1.00 A ) = 0.53/1.00 ( A ) ))). 0.53/1.00 thf(zip_derived_cl1, plain, 0.53/1.00 ( (((!!) @ (^[Y0 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ 0.53/1.00 ('const/nums/BIT1' @ 'const/nums/_0'))) @ 0.53/1.00 Y0) = (Y0))))))), 0.53/1.00 inference('cnf', [status(esa)], [thm/realax/REAL_MUL_LID_])). 0.53/1.00 thf(zip_derived_cl48, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ 0.53/1.00 X2) = (X2)))), 0.53/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 0.53/1.00 thf(zip_derived_cl49, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ 0.53/1.00 X2) = (X2))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl48])). 0.53/1.00 thf('thm/calc_int/REAL_MUL_LNEG_', axiom, 0.53/1.00 (![A:'type/realax/real',A0:'type/realax/real']: 0.53/1.00 ( ( 'const/realax/real_mul' @ ( 'const/realax/real_neg' @ A ) @ A0 ) = 0.53/1.00 ( 'const/realax/real_neg' @ ( 'const/realax/real_mul' @ A @ A0 ) ) ))). 0.53/1.00 thf(zip_derived_cl4, plain, 0.53/1.00 ( (((!!) @ (^[Y0 : 'type/realax/real']: 0.53/1.00 (((!!) @ (^[Y1 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ Y0) @ Y1) = 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ Y0 @ Y1))))))))))), 0.53/1.00 inference('cnf', [status(esa)], [thm/calc_int/REAL_MUL_LNEG_])). 0.53/1.00 thf(zip_derived_cl50, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 (((!!) @ (^[Y0 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ X2) @ Y0) = 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ X2 @ Y0)))))))), 0.53/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 0.53/1.00 thf(zip_derived_cl51, plain, 0.53/1.00 (![X2 : 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ ('const/realax/real_neg' @ X2) @ X4) = 0.53/1.00 ('const/realax/real_neg' @ ('const/realax/real_mul' @ X2 @ X4))))), 0.53/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 0.53/1.00 thf(zip_derived_cl52, plain, 0.53/1.00 (![X2 : 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_mul' @ ('const/realax/real_neg' @ X2) @ X4) 0.53/1.00 = ('const/realax/real_neg' @ ('const/realax/real_mul' @ X2 @ X4)))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl51])). 0.53/1.00 thf(zip_derived_cl49, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ 0.53/1.00 X2) = (X2))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl48])). 0.53/1.00 thf(zip_derived_cl49, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ 0.53/1.00 X2) = (X2))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl48])). 0.53/1.00 thf('thm/iterate/POLYNOMIAL_FUNCTION_NEG_', conjecture, 0.53/1.00 (![A:( 'type/realax/real' > 'type/realax/real' )]: 0.53/1.00 ( ( 'const/iterate/polynomial_function' @ 0.53/1.00 ( ^[A0:'type/realax/real']: ( 'const/realax/real_neg' @ ( A @ A0 ) ) ) ) = 0.53/1.00 ( 'const/iterate/polynomial_function' @ A ) ))). 0.53/1.00 thf(zf_stmt_0, negated_conjecture, 0.53/1.00 (~( ![A:( 'type/realax/real' > 'type/realax/real' )]: 0.53/1.00 ( ( 'const/iterate/polynomial_function' @ 0.53/1.00 ( ^[A0:'type/realax/real']: 0.53/1.00 ( 'const/realax/real_neg' @ ( A @ A0 ) ) ) ) = 0.53/1.00 ( 'const/iterate/polynomial_function' @ A ) ) )), 0.53/1.00 inference('cnf.neg', [status(esa)], [thm/iterate/POLYNOMIAL_FUNCTION_NEG_])). 0.53/1.00 thf(zip_derived_cl2, plain, 0.53/1.00 (~ (((!!) @ (^[Y0 : 'type/realax/real' > 'type/realax/real']: 0.53/1.00 ((('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ (Y0 @ Y1)))) = 0.53/1.00 ('const/iterate/polynomial_function' @ Y0))))))), 0.53/1.00 inference('cnf', [status(esa)], [zf_stmt_0])). 0.53/1.00 thf(zip_derived_cl11, plain, 0.53/1.00 (~ ((('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) = 0.53/1.00 ('const/iterate/polynomial_function' @ '#sk1')))), 0.53/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 0.53/1.00 thf(zip_derived_cl12, plain, 0.53/1.00 ((('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ ('#sk1' @ Y0)))) 0.53/1.00 != ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 0.53/1.00 thf(zip_derived_cl13, plain, 0.53/1.00 (( ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('eq_elim', [status(thm)], [zip_derived_cl12])). 0.53/1.00 thf('thm/iterate/POLYNOMIAL_FUNCTION_LMUL_', axiom, 0.53/1.00 (![A:( 'type/realax/real' > 'type/realax/real' ),A0:'type/realax/real']: 0.53/1.00 ( ( 'const/iterate/polynomial_function' @ A ) => 0.53/1.00 ( 'const/iterate/polynomial_function' @ 0.53/1.00 ( ^[A1:'type/realax/real']: 0.53/1.00 ( 'const/realax/real_mul' @ A0 @ ( A @ A1 ) ) ) ) ))). 0.53/1.00 thf(zip_derived_cl3, plain, 0.53/1.00 ( (((!!) @ (^[Y0 : 'type/realax/real' > 'type/realax/real']: 0.53/1.00 (((!!) @ (^[Y1 : 'type/realax/real']: 0.53/1.00 ((('const/iterate/polynomial_function' @ Y0) => 0.53/1.00 ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y2 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ Y1 @ (Y0 @ Y2))))))))))))), 0.53/1.00 inference('cnf', [status(esa)], [thm/iterate/POLYNOMIAL_FUNCTION_LMUL_])). 0.53/1.00 thf(zip_derived_cl57, plain, 0.53/1.00 (![X2 : 'type/realax/real' > 'type/realax/real']: 0.53/1.00 (((!!) @ (^[Y0 : 'type/realax/real']: 0.53/1.00 ((('const/iterate/polynomial_function' @ X2) => 0.53/1.00 ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ Y0 @ (X2 @ Y1)))))))))), 0.53/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 0.53/1.00 thf(zip_derived_cl58, plain, 0.53/1.00 (![X2 : 'type/realax/real' > 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 ((('const/iterate/polynomial_function' @ X2) => 0.53/1.00 ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X4 @ (X2 @ Y0))))))), 0.53/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 0.53/1.00 thf(zip_derived_cl59, plain, 0.53/1.00 (![X2 : 'type/realax/real' > 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 (~ ('const/iterate/polynomial_function' @ X2) 0.53/1.00 | ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X4 @ (X2 @ Y0)))))), 0.53/1.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 0.53/1.00 thf(zip_derived_cl68, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X0 @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y1))) @ 0.53/1.00 Y0)))))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl59])). 0.53/1.00 thf(zip_derived_cl69, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X0 @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0))))))), 0.53/1.00 inference('ho_norm', [status(thm)], [zip_derived_cl68])). 0.53/1.00 thf(zip_derived_cl52, plain, 0.53/1.00 (![X2 : 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_mul' @ ('const/realax/real_neg' @ X2) @ X4) 0.53/1.00 = ('const/realax/real_neg' @ ('const/realax/real_mul' @ X2 @ X4)))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl51])). 0.53/1.00 thf(zip_derived_cl13, plain, 0.53/1.00 (( ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('eq_elim', [status(thm)], [zip_derived_cl12])). 0.53/1.00 thf(zip_derived_cl59, plain, 0.53/1.00 (![X2 : 'type/realax/real' > 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 (~ ('const/iterate/polynomial_function' @ X2) 0.53/1.00 | ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X4 @ (X2 @ Y0)))))), 0.53/1.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 0.53/1.00 thf(zip_derived_cl12, plain, 0.53/1.00 ((('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ ('#sk1' @ Y0)))) 0.53/1.00 != ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 0.53/1.00 thf(zip_derived_cl14, plain, 0.53/1.00 ((~ ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('eq_elim', [status(thm)], [zip_derived_cl12])). 0.53/1.00 thf(zip_derived_cl66, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ((((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X1 @ (X0 @ Y0)))) 0.53/1.00 != ((^[Y0 : 'type/realax/real']: ('#sk1' @ Y0)))) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ X0) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))))), 0.53/1.00 inference('ext_sup', [status(thm)], [zip_derived_cl59, zip_derived_cl14])). 0.53/1.00 thf(zip_derived_cl70, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ((((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X1 @ (X0 @ Y0)))) 0.53/1.00 != ('#sk1')) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ X0) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))))), 0.53/1.00 inference('ho_norm', [status(thm)], [zip_derived_cl66])). 0.53/1.00 thf(zip_derived_cl77, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ X0) 0.53/1.00 | (((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X1 @ (X0 @ Y0)))) 0.53/1.00 != ('#sk1')))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl70])). 0.53/1.00 thf(zip_derived_cl78, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ X0) 0.53/1.00 | (('const/realax/real_mul' @ X1 @ (X0 @ ('#sk43' @ X0 @ X1))) 0.53/1.00 != ('#sk1' @ ('#sk43' @ X0 @ X1))))), 0.53/1.00 inference('neg_ext', [status(thm)], [zip_derived_cl77])). 0.53/1.00 thf(zip_derived_cl86, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', 0.53/1.00 X1 : 'type/realax/real', X2 : 'type/realax/real' > 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ X1 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 (X2 @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y0)) @ (X0 @ Y0))) @ 0.53/1.00 X1)) @ 0.53/1.00 (X0 @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y0)) @ (X0 @ Y0))) @ 0.53/1.00 X1))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y1))) @ 0.53/1.00 Y0) @ 0.53/1.00 (X0 @ Y0))) @ 0.53/1.00 X1))) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y1))) @ 0.53/1.00 Y0) @ 0.53/1.00 (X0 @ Y0)))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl78])). 0.53/1.00 thf(zip_derived_cl89, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', 0.53/1.00 X1 : 'type/realax/real', X2 : 'type/realax/real' > 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ X1 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 (X2 @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y0)) @ (X0 @ Y0))) @ 0.53/1.00 X1)) @ 0.53/1.00 (X0 @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y0)) @ (X0 @ Y0))) @ 0.53/1.00 X1))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y0)) @ (X0 @ Y0))) @ 0.53/1.00 X1))) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ (X2 @ Y0)) @ (X0 @ Y0)))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('ho_norm', [status(thm)], [zip_derived_cl86])). 0.53/1.00 thf(zip_derived_cl371, plain, 0.53/1.00 (![X0 : 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | (('const/realax/real_mul' @ X1 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ((^[Y0 : 'type/realax/real']: (X0)) @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: (X0)) @ Y0)) @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y1))) @ 0.53/1.00 Y0))) @ 0.53/1.00 X1)) @ 0.53/1.00 ((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0))) @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: (X0)) @ Y0)) @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y1))) @ 0.53/1.00 Y0))) @ 0.53/1.00 X1))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: (X0)) @ Y0)) @ 0.53/1.00 ((^[Y1 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y1))) @ 0.53/1.00 Y0))) @ 0.53/1.00 X1))))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl89])). 0.53/1.00 thf(zip_derived_cl398, plain, 0.53/1.00 (![X0 : 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1') 0.53/1.00 | (('const/realax/real_mul' @ X1 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ X0 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ X0) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X1)))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ X0) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X1))))), 0.53/1.00 inference('ho_norm', [status(thm)], [zip_derived_cl371])). 0.53/1.00 thf(zip_derived_cl399, plain, 0.53/1.00 (![X0 : 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ X1 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ X0 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ X0) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X1)))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ X0) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X1))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('simplify', [status(thm)], [zip_derived_cl398])). 0.53/1.00 thf(zip_derived_cl422, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ X0 @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ 0.53/1.00 ('const/nums/BIT1' @ 'const/nums/_0')))) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X0))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ 0.53/1.00 ('const/nums/BIT1' @ 'const/nums/_0')))) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X0))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl399])). 0.53/1.00 thf('thm/calc_int/REAL_NEG_NEG_', axiom, 0.53/1.00 (![A:'type/realax/real']: 0.53/1.00 ( ( 'const/realax/real_neg' @ ( 'const/realax/real_neg' @ A ) ) = ( A ) ))). 0.53/1.00 thf(zip_derived_cl0, plain, 0.53/1.00 ( (((!!) @ (^[Y0 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_neg' @ Y0)) = (Y0))))))), 0.53/1.00 inference('cnf', [status(esa)], [thm/calc_int/REAL_NEG_NEG_])). 0.53/1.00 thf(zip_derived_cl5, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_neg' @ ('const/realax/real_neg' @ X2)) = (X2)))), 0.53/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 0.53/1.00 thf(zip_derived_cl6, plain, 0.53/1.00 (![X2 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_neg' @ ('const/realax/real_neg' @ X2)) = (X2))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])). 0.53/1.00 thf(zip_derived_cl426, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 ((('const/realax/real_mul' @ X0 @ 0.53/1.00 ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ 0.53/1.00 ('const/nums/BIT1' @ 'const/nums/_0')))) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X0))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ 0.53/1.00 ('const/nums/BIT1' @ 'const/nums/_0')))) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 X0))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl6])). 0.53/1.00 thf(zip_derived_cl432, plain, 0.53/1.00 (((('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) 0.53/1.00 != ('#sk1' @ 0.53/1.00 ('#sk43' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ 0.53/1.00 ('const/nums/BIT1' @ 'const/nums/_0')))) @ 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))) @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) 0.53/1.00 | ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl426])). 0.53/1.00 thf(zip_derived_cl433, plain, 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1')), 0.53/1.00 inference('simplify', [status(thm)], [zip_derived_cl432])). 0.53/1.00 thf(zip_derived_cl59, plain, 0.53/1.00 (![X2 : 'type/realax/real' > 'type/realax/real', X4 : 'type/realax/real']: 0.53/1.00 (~ ('const/iterate/polynomial_function' @ X2) 0.53/1.00 | ('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X4 @ (X2 @ Y0)))))), 0.53/1.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 0.53/1.00 thf(zip_derived_cl12, plain, 0.53/1.00 ((('const/iterate/polynomial_function' @ 0.53/1.00 (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ ('#sk1' @ Y0)))) 0.53/1.00 != ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 0.53/1.00 thf(zip_derived_cl63, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ((((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X1 @ (X0 @ Y0)))) 0.53/1.00 != ((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0))))) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ X0) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ '#sk1'))), 0.53/1.00 inference('ext_sup', [status(thm)], [zip_derived_cl59, zip_derived_cl12])). 0.53/1.00 thf(zip_derived_cl433, plain, 0.53/1.00 ( ('const/iterate/polynomial_function' @ '#sk1')), 0.53/1.00 inference('simplify', [status(thm)], [zip_derived_cl432])). 0.53/1.00 thf(zip_derived_cl436, plain, 0.53/1.00 (![X0 : 'type/realax/real' > 'type/realax/real', X1 : 'type/realax/real']: 0.53/1.00 ((((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X1 @ (X0 @ Y0)))) 0.53/1.00 != ((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0))))) 0.53/1.00 | ~ ('const/iterate/polynomial_function' @ X0))), 0.53/1.00 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl433])). 0.53/1.00 thf(zip_derived_cl451, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 (((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_mul' @ X0 @ ('#sk1' @ Y0)))) 0.53/1.00 != ((^[Y0 : 'type/realax/real']: 0.53/1.00 ('const/realax/real_neg' @ ('#sk1' @ Y0)))))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl433, zip_derived_cl436])). 0.53/1.00 thf(zip_derived_cl461, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_mul' @ X0 @ ('#sk1' @ ('#sk418' @ X0))) 0.53/1.00 != ('const/realax/real_neg' @ ('#sk1' @ ('#sk418' @ X0))))), 0.53/1.00 inference('neg_ext', [status(thm)], [zip_derived_cl451])). 0.53/1.00 thf(zip_derived_cl462, plain, 0.53/1.00 (![X0 : 'type/realax/real']: 0.53/1.00 (('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_mul' @ X0 @ 0.53/1.00 ('#sk1' @ ('#sk418' @ ('const/realax/real_neg' @ X0))))) 0.53/1.00 != ('const/realax/real_neg' @ 0.53/1.00 ('#sk1' @ ('#sk418' @ ('const/realax/real_neg' @ X0)))))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl461])). 0.53/1.00 thf(zip_derived_cl468, plain, 0.53/1.00 ((('const/realax/real_neg' @ 0.53/1.00 ('#sk1' @ 0.53/1.00 ('#sk418' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) 0.53/1.00 != ('const/realax/real_neg' @ 0.53/1.00 ('#sk1' @ 0.53/1.00 ('#sk418' @ 0.53/1.00 ('const/realax/real_neg' @ 0.53/1.00 ('const/realax/real_of_num' @ 0.53/1.00 ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))))), 0.53/1.00 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl462])). 0.53/1.00 thf(zip_derived_cl474, plain, ($false), 0.53/1.00 inference('simplify', [status(thm)], [zip_derived_cl468])). 0.53/1.00 0.53/1.00 % SZS output end Refutation 0.53/1.00 0.53/1.00 0.53/1.00 % Terminating... 4.13/1.10 % Runner terminated. 4.13/1.11 % Zipperpin 1.5 exiting 4.13/1.11 EOF