TSTP Solution File: ALG437-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG437-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EyvKFhrK09 true
% Computer : n003.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 : Wed Aug 30 17:13:10 EDT 2023
% Result : Unsatisfiable 199.83s 29.15s
% Output : Refutation 199.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG437-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EyvKFhrK09 true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:54:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 199.83/29.15 % Solved by fo/fo6_bce.sh.
% 199.83/29.15 % BCE start: 682
% 199.83/29.15 % BCE eliminated: 2
% 199.83/29.15 % PE start: 680
% 199.83/29.15 logic: eq
% 199.83/29.15 % PE eliminated: -35
% 199.83/29.15 % done 3789 iterations in 28.406s
% 199.83/29.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 199.83/29.15 % SZS output start Refutation
% 199.83/29.15 thf(c_Polynomial_OpCons_type, type, c_Polynomial_OpCons: $i > $i > $i > $i).
% 199.83/29.15 thf(tc_nat_type, type, tc_nat: $i).
% 199.83/29.15 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(class_HOL_Ozero_type, type, class_HOL_Ozero: $i > $o).
% 199.83/29.15 thf(class_OrderedGroup_Ocomm__monoid__mult_type, type, class_OrderedGroup_Ocomm__monoid__mult:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 199.83/29.15 $i > $i > $i > $i).
% 199.83/29.15 thf(v_p_type, type, v_p: $i).
% 199.83/29.15 thf(class_RealVector_Oreal__normed__algebra_type, type, class_RealVector_Oreal__normed__algebra:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(class_Int_Onumber__ring_type, type, class_Int_Onumber__ring: $i > $o).
% 199.83/29.15 thf(class_OrderedGroup_Ocancel__ab__semigroup__add_type, type, class_OrderedGroup_Ocancel__ab__semigroup__add:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(c_Polynomial_Osynthetic__div_type, type, c_Polynomial_Osynthetic__div:
% 199.83/29.15 $i > $i > $i > $i).
% 199.83/29.15 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i).
% 199.83/29.15 thf(c_Complex_Oii_type, type, c_Complex_Oii: $i).
% 199.83/29.15 thf(class_Ring__and__Field_Oidom_type, type, class_Ring__and__Field_Oidom:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 199.83/29.15 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 199.83/29.15 thf(v_x_type, type, v_x: $i).
% 199.83/29.15 thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 199.83/29.15 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 199.83/29.15 thf(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1_type, type,
% 199.83/29.15 v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1:
% 199.83/29.15 $i > $i > $i > $i).
% 199.83/29.15 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 199.83/29.15 $i > $i > $i).
% 199.83/29.15 thf(c_Polynomial_Osmult_type, type, c_Polynomial_Osmult: $i > $i > $i > $i).
% 199.83/29.15 thf(class_Ring__and__Field_Ocomm__ring_type, type, class_Ring__and__Field_Ocomm__ring:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 199.83/29.15 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 199.83/29.15 $i > $i).
% 199.83/29.15 thf(c_Polynomial_Omonom_type, type, c_Polynomial_Omonom: $i > $i > $i > $i).
% 199.83/29.15 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 199.83/29.15 $i > $i > $i > $i).
% 199.83/29.15 thf(class_OrderedGroup_Ocomm__monoid__add_type, type, class_OrderedGroup_Ocomm__monoid__add:
% 199.83/29.15 $i > $o).
% 199.83/29.15 thf(cls_complex__i__not__one_0, axiom,
% 199.83/29.15 (( c_Complex_Oii ) != ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ))).
% 199.83/29.15 thf(zip_derived_cl353, plain,
% 199.83/29.15 (((c_Complex_Oii) != (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_complex__i__not__one_0])).
% 199.83/29.15 thf(cls_conjecture_1, conjecture,
% 199.83/29.15 (~( ( ( hAPP @ ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) @ V_xa ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 199.83/29.15 ( ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) =
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 199.83/29.15 tc_Complex_Ocomplex ) ) ))).
% 199.83/29.15 thf(zf_stmt_0, negated_conjecture,
% 199.83/29.15 (( ( hAPP @ ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) @ V_xa ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 199.83/29.15 ( ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) =
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 199.83/29.15 tc_Complex_Ocomplex ) )),
% 199.83/29.15 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 199.83/29.15 thf(zip_derived_cl523, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 199.83/29.15 thf(cls_poly__pCons_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 199.83/29.15 ( ( hAPP @
% 199.83/29.15 ( c_Polynomial_Opoly @ ( c_Polynomial_OpCons @ V_a @ V_p @ T_a ) @ T_a ) @
% 199.83/29.15 V_x ) =
% 199.83/29.15 ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 V_a @
% 199.83/29.15 ( c_HOL_Otimes__class_Otimes @
% 199.83/29.15 V_x @ ( hAPP @ ( c_Polynomial_Opoly @ V_p @ T_a ) @ V_x ) @ T_a ) @
% 199.83/29.15 T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl409, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @ (c_Polynomial_OpCons @ X1 @ X3 @ X0) @ X0) @
% 199.83/29.15 X2)
% 199.83/29.15 = (c_HOL_Oplus__class_Oplus @ X1 @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X2 @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X3 @ X0) @ X2) @ X0) @
% 199.83/29.15 X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_poly__pCons_0])).
% 199.83/29.15 thf(zip_derived_cl21306, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0)
% 199.83/29.15 = (c_HOL_Oplus__class_Oplus @ X1 @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl409])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 199.83/29.15 (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl619, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, axiom,
% 199.83/29.15 (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl620, plain,
% 199.83/29.15 ( (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra])).
% 199.83/29.15 thf(cls_mult__right_Ozero_0, axiom,
% 199.83/29.15 (( ~( class_RealVector_Oreal__normed__algebra @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Otimes__class_Otimes @
% 199.83/29.15 V_x @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl295, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_RealVector_Oreal__normed__algebra @ X0)
% 199.83/29.15 | ((c_HOL_Otimes__class_Otimes @ X1 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_mult__right_Ozero_0])).
% 199.83/29.15 thf(zip_derived_cl2913, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Otimes__class_Otimes @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('dp-resolution', [status(thm)],
% 199.83/29.15 [zip_derived_cl620, zip_derived_cl295])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult, axiom,
% 199.83/29.15 (class_OrderedGroup_Ocomm__monoid__mult @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl623, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ocomm__monoid__mult @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult])).
% 199.83/29.15 thf(cls_mult__1_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ocomm__monoid__mult @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Otimes__class_Otimes @
% 199.83/29.15 ( c_HOL_Oone__class_Oone @ T_a ) @ V_a @ T_a ) =
% 199.83/29.15 ( V_a ) ))).
% 199.83/29.15 thf(zip_derived_cl72, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ocomm__monoid__mult @ X0)
% 199.83/29.15 | ((c_HOL_Otimes__class_Otimes @ (c_HOL_Oone__class_Oone @ X0) @
% 199.83/29.15 X1 @ X0) = (X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_mult__1_0])).
% 199.83/29.15 thf(zip_derived_cl2474, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex) = (X0))),
% 199.83/29.15 inference('dp-resolution', [status(thm)],
% 199.83/29.15 [zip_derived_cl623, zip_derived_cl72])).
% 199.83/29.15 thf(cls_class__ringb_Oadd__mul__solve_1, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Oidom @ T_a ) ) |
% 199.83/29.15 ( ~( class_Int_Onumber__ring @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 ( c_HOL_Otimes__class_Otimes @ V_x @ V_y @ T_a ) @
% 199.83/29.15 ( c_HOL_Otimes__class_Otimes @ V_x @ V_z @ T_a ) @ T_a ) =
% 199.83/29.15 ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 ( c_HOL_Otimes__class_Otimes @ V_x @ V_z @ T_a ) @
% 199.83/29.15 ( c_HOL_Otimes__class_Otimes @ V_x @ V_y @ T_a ) @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl82, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Oidom @ X0)
% 199.83/29.15 | ~ (class_Int_Onumber__ring @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X1 @ X3 @ X0) @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @ X0)
% 199.83/29.15 = (c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X1 @ X3 @ X0) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_class__ringb_Oadd__mul__solve_1])).
% 199.83/29.15 thf(zip_derived_cl4965, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)
% 199.83/29.15 | ~ (class_Int_Onumber__ring @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X1 @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0 @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Oplus__class_Oplus @ X0 @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X1 @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)], [zip_derived_cl2474, zip_derived_cl82])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom, axiom,
% 199.83/29.15 (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl642, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Oidom])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__Int_Onumber__ring, axiom,
% 199.83/29.15 (class_Int_Onumber__ring @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl645, plain,
% 199.83/29.15 ( (class_Int_Onumber__ring @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Int_Onumber__ring])).
% 199.83/29.15 thf(zip_derived_cl2474, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex) = (X0))),
% 199.83/29.15 inference('dp-resolution', [status(thm)],
% 199.83/29.15 [zip_derived_cl623, zip_derived_cl72])).
% 199.83/29.15 thf(zip_derived_cl2474, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex) = (X0))),
% 199.83/29.15 inference('dp-resolution', [status(thm)],
% 199.83/29.15 [zip_derived_cl623, zip_derived_cl72])).
% 199.83/29.15 thf(zip_derived_cl5013, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl4965, zip_derived_cl642, zip_derived_cl645,
% 199.83/29.15 zip_derived_cl2474, zip_derived_cl2474])).
% 199.83/29.15 thf(cls_eq__iff__diff__eq__0_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl313, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_eq__iff__diff__eq__0_0])).
% 199.83/29.15 thf(cls_diff__add__cancel_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_b @ T_a ) =
% 199.83/29.15 ( V_a ) ))).
% 199.83/29.15 thf(zip_derived_cl86, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0) @ X2 @ X0) = (
% 199.83/29.15 X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_diff__add__cancel_0])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add, axiom,
% 199.83/29.15 (class_OrderedGroup_Ocancel__ab__semigroup__add @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl612, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ocancel__ab__semigroup__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add])).
% 199.83/29.15 thf(cls_add__imp__eq_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ocancel__ab__semigroup__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) !=
% 199.83/29.15 ( c_HOL_Oplus__class_Oplus @ V_a @ V_c @ T_a ) ) |
% 199.83/29.15 ( ( V_b ) = ( V_c ) ))).
% 199.83/29.15 thf(zip_derived_cl204, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ocancel__ab__semigroup__add @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ X1 @ X3 @ X0)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0))
% 199.83/29.15 | ((X3) = (X2)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_add__imp__eq_0])).
% 199.83/29.15 thf(zip_derived_cl2494, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (((X0) = (X2))
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('dp-resolution', [status(thm)],
% 199.83/29.15 [zip_derived_cl612, zip_derived_cl204])).
% 199.83/29.15 thf(zip_derived_cl5081, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((X2) = (X1))
% 199.83/29.15 | ((X0)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X0 @ X2 @ tc_Complex_Ocomplex) @
% 199.83/29.15 X1 @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl2494])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom,
% 199.83/29.15 (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl638, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 199.83/29.15 thf(zip_derived_cl5091, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (((X2) = (X1))
% 199.83/29.15 | ((X0)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X0 @ X2 @ tc_Complex_Ocomplex) @
% 199.83/29.15 X1 @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)], [zip_derived_cl5081, zip_derived_cl638])).
% 199.83/29.15 thf(zip_derived_cl9548, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((X1) = (X0))
% 199.83/29.15 | ((X1)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl313, zip_derived_cl5091])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, axiom,
% 199.83/29.15 (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl630, plain,
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(zip_derived_cl9563, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((X1) = (X0))
% 199.83/29.15 | ((X1)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)], [zip_derived_cl9548, zip_derived_cl630])).
% 199.83/29.15 thf(zip_derived_cl9686, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((X1) = (X0))
% 199.83/29.15 | ((X1)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl5013, zip_derived_cl9563])).
% 199.83/29.15 thf(zip_derived_cl9725, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Oplus__class_Oplus @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) = (X0))),
% 199.83/29.15 inference('eq_res', [status(thm)], [zip_derived_cl9686])).
% 199.83/29.15 thf(zip_derived_cl21317, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0) = (X1)))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl21306, zip_derived_cl619, zip_derived_cl2913,
% 199.83/29.15 zip_derived_cl9725])).
% 199.83/29.15 thf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add, axiom,
% 199.83/29.15 (( class_OrderedGroup_Ogroup__add @ ( tc_Polynomial_Opoly @ T_1 ) ) |
% 199.83/29.15 ( ~( class_OrderedGroup_Oab__group__add @ T_1 ) ))).
% 199.83/29.15 thf(zip_derived_cl671, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ( (class_OrderedGroup_Ogroup__add @ (tc_Polynomial_Opoly @ X0))
% 199.83/29.15 | ~ (class_OrderedGroup_Oab__group__add @ X0))),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add, axiom,
% 199.83/29.15 (class_OrderedGroup_Ocomm__monoid__add @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl627, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ocomm__monoid__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add])).
% 199.83/29.15 thf(cls_add__poly__code_I1_J_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ocomm__monoid__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_q @
% 199.83/29.15 ( tc_Polynomial_Opoly @ T_a ) ) =
% 199.83/29.15 ( V_q ) ))).
% 199.83/29.15 thf(zip_derived_cl481, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ocomm__monoid__add @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0)) = (X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_add__poly__code_I1_J_0])).
% 199.83/29.15 thf(zip_derived_cl18047, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 X0 @ (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) = (X0))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl627, zip_derived_cl481])).
% 199.83/29.15 thf(cls_eq__neg__iff__add__eq__0_1, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) !=
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 199.83/29.15 ( ( V_a ) = ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl366, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @ X0))
% 199.83/29.15 | ((X1) = (c_HOL_Ouminus__class_Ouminus @ X2 @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_eq__neg__iff__add__eq__0_1])).
% 199.83/29.15 thf(zip_derived_cl23465, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((X0)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl18047, zip_derived_cl366])).
% 199.83/29.15 thf(zip_derived_cl23798, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((X0)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl671, zip_derived_cl23465])).
% 199.83/29.15 thf(zip_derived_cl630, plain,
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(zip_derived_cl23799, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((X0)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl23798, zip_derived_cl630])).
% 199.83/29.15 thf(cls_diff__poly__code_I1_J_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Ominus__class_Ominus @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_q @
% 199.83/29.15 ( tc_Polynomial_Opoly @ T_a ) ) =
% 199.83/29.15 ( c_HOL_Ouminus__class_Ouminus @ V_q @ ( tc_Polynomial_Opoly @ T_a ) ) ))).
% 199.83/29.15 thf(zip_derived_cl186, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0))
% 199.83/29.15 = (c_HOL_Ouminus__class_Ouminus @ X1 @ (tc_Polynomial_Opoly @ X0))))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_diff__poly__code_I1_J_0])).
% 199.83/29.15 thf(cls_poly__diff_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__ring @ T_a ) ) |
% 199.83/29.15 ( ( hAPP @
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ominus__class_Ominus @
% 199.83/29.15 V_p @ V_q @ ( tc_Polynomial_Opoly @ T_a ) ) @
% 199.83/29.15 T_a ) @
% 199.83/29.15 V_x ) =
% 199.83/29.15 ( c_HOL_Ominus__class_Ominus @
% 199.83/29.15 ( hAPP @ ( c_Polynomial_Opoly @ V_p @ T_a ) @ V_x ) @
% 199.83/29.15 ( hAPP @ ( c_Polynomial_Opoly @ V_q @ T_a ) @ V_x ) @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl261, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__ring @ X0)
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ X3 @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0)) @
% 199.83/29.15 X0) @
% 199.83/29.15 X2)
% 199.83/29.15 = (c_HOL_Ominus__class_Ominus @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X1 @ X0) @ X2) @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X3 @ X0) @ X2) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_poly__diff_0])).
% 199.83/29.15 thf(zip_derived_cl86, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0) @ X2 @ X0) = (
% 199.83/29.15 X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_diff__add__cancel_0])).
% 199.83/29.15 thf(cls_diff__0__right_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Ominus__class_Ominus @
% 199.83/29.15 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 199.83/29.15 ( V_a ) ))).
% 199.83/29.15 thf(zip_derived_cl315, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ X0) @ X0) = (X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_diff__0__right_0])).
% 199.83/29.15 thf(zip_derived_cl5091, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (((X2) = (X1))
% 199.83/29.15 | ((X0)
% 199.83/29.15 != (c_HOL_Oplus__class_Oplus @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X0 @ X2 @ tc_Complex_Ocomplex) @
% 199.83/29.15 X1 @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)], [zip_derived_cl5081, zip_derived_cl638])).
% 199.83/29.15 thf(zip_derived_cl9912, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) = (X1))
% 199.83/29.15 | ((X0) != (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl315, zip_derived_cl5091])).
% 199.83/29.15 thf(zip_derived_cl638, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 199.83/29.15 thf(zip_derived_cl9924, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) = (X1))
% 199.83/29.15 | ((X0) != (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)], [zip_derived_cl9912, zip_derived_cl638])).
% 199.83/29.15 thf(zip_derived_cl9951, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) = (X1))
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_Complex_Ocomplex)
% 199.83/29.15 != (X0)))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl9924])).
% 199.83/29.15 thf(zip_derived_cl638, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 199.83/29.15 thf(zip_derived_cl9971, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) = (X1))
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_Complex_Ocomplex)
% 199.83/29.15 != (X0)))),
% 199.83/29.15 inference('demod', [status(thm)], [zip_derived_cl9951, zip_derived_cl638])).
% 199.83/29.15 thf(zip_derived_cl13891, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X2 @ X1 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0)
% 199.83/29.15 != (hAPP @ (c_Polynomial_Opoly @ X2 @ tc_Complex_Ocomplex) @ X0)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl261, zip_derived_cl9971])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring, axiom,
% 199.83/29.15 (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl632, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring])).
% 199.83/29.15 thf(zip_derived_cl13919, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X2 @ X1 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0)
% 199.83/29.15 != (hAPP @ (c_Polynomial_Opoly @ X2 @ tc_Complex_Ocomplex) @ X0)))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl13891, zip_derived_cl632])).
% 199.83/29.15 thf(zip_derived_cl14082, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X0 @ tc_Complex_Ocomplex) @ X1))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ouminus__class_Ouminus @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X1)
% 199.83/29.15 != (hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X1)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl186, zip_derived_cl13919])).
% 199.83/29.15 thf(zip_derived_cl630, plain,
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(cls_mpoly__base__conv_I1_J_0, axiom,
% 199.83/29.15 (( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) =
% 199.83/29.15 ( hAPP @
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 199.83/29.15 tc_Complex_Ocomplex ) @
% 199.83/29.15 V_x ))).
% 199.83/29.15 thf(zip_derived_cl515, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_mpoly__base__conv_I1_J_0])).
% 199.83/29.15 thf(zip_derived_cl14088, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X0 @ tc_Complex_Ocomplex) @ X1))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ouminus__class_Ouminus @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X1) != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl14082, zip_derived_cl630, zip_derived_cl515])).
% 199.83/29.15 thf(zip_derived_cl23852, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((X1)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0) != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl23799, zip_derived_cl14088])).
% 199.83/29.15 thf(zip_derived_cl515, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_mpoly__base__conv_I1_J_0])).
% 199.83/29.15 thf(zip_derived_cl23892, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((X1)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl23852, zip_derived_cl515])).
% 199.83/29.15 thf(zip_derived_cl23893, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0))
% 199.83/29.15 | ((X1)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('simplify', [status(thm)], [zip_derived_cl23892])).
% 199.83/29.15 thf(cls_conjecture_0, conjecture,
% 199.83/29.15 (~( ( ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) !=
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 199.83/29.15 tc_Complex_Ocomplex ) ) |
% 199.83/29.15 ( ( hAPP @ ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) @ v_x ) !=
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ))).
% 199.83/29.15 thf(zf_stmt_1, negated_conjecture,
% 199.83/29.15 (( ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) !=
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 199.83/29.15 tc_Complex_Ocomplex ) ) |
% 199.83/29.15 ( ( hAPP @ ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) @ v_x ) !=
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )),
% 199.83/29.15 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 199.83/29.15 thf(zip_derived_cl522, plain,
% 199.83/29.15 ((((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ v_x)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 199.83/29.15 thf(zip_derived_cl23925, plain,
% 199.83/29.15 ((((v_p)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 199.83/29.15 | ((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl23893, zip_derived_cl522])).
% 199.83/29.15 thf(zip_derived_cl23942, plain,
% 199.83/29.15 ((((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((v_p)
% 199.83/29.15 != (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('simplify', [status(thm)], [zip_derived_cl23925])).
% 199.83/29.15 thf(cls_calculation_1, axiom,
% 199.83/29.15 (( ( c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex ) !=
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 199.83/29.15 tc_Complex_Ocomplex ) ) |
% 199.83/29.15 ( ( v_p ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ))).
% 199.83/29.15 thf(zip_derived_cl518, plain,
% 199.83/29.15 ((((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((v_p)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_calculation_1])).
% 199.83/29.15 thf(zip_derived_cl23978, plain,
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('clc', [status(thm)], [zip_derived_cl23942, zip_derived_cl518])).
% 199.83/29.15 thf(zip_derived_cl42747, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0) = (X1))),
% 199.83/29.15 inference('simplify_reflect-', [status(thm)],
% 199.83/29.15 [zip_derived_cl21317, zip_derived_cl23978])).
% 199.83/29.15 thf(cls_smult__0__left_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 199.83/29.15 ( ( c_Polynomial_Osmult @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_p @ T_a ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ))).
% 199.83/29.15 thf(zip_derived_cl495, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 199.83/29.15 | ((c_Polynomial_Osmult @ (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0))))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_smult__0__left_0])).
% 199.83/29.15 thf(zip_derived_cl523, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 199.83/29.15 thf(cls_synthetic__div__correct_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 V_p @
% 199.83/29.15 ( c_Polynomial_Osmult @
% 199.83/29.15 V_c @ ( c_Polynomial_Osynthetic__div @ V_p @ V_c @ T_a ) @ T_a ) @
% 199.83/29.15 ( tc_Polynomial_Opoly @ T_a ) ) =
% 199.83/29.15 ( c_Polynomial_OpCons @
% 199.83/29.15 ( hAPP @ ( c_Polynomial_Opoly @ V_p @ T_a ) @ V_c ) @
% 199.83/29.15 ( c_Polynomial_Osynthetic__div @ V_p @ V_c @ T_a ) @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl266, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ X1 @
% 199.83/29.15 (c_Polynomial_Osmult @ X2 @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ X1 @ X2 @ X0) @ X0) @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0))
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X1 @ X0) @ X2) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ X1 @ X2 @ X0) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_synthetic__div__correct_0])).
% 199.83/29.15 thf(zip_derived_cl14444, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ v_p @
% 199.83/29.15 (c_Polynomial_Osmult @ X0 @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl266])).
% 199.83/29.15 thf(zip_derived_cl619, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 199.83/29.15 thf(zip_derived_cl14450, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ v_p @
% 199.83/29.15 (c_Polynomial_Osmult @ X0 @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl14444, zip_derived_cl619])).
% 199.83/29.15 thf(zip_derived_cl23978, plain,
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('clc', [status(thm)], [zip_derived_cl23942, zip_derived_cl518])).
% 199.83/29.15 thf(zip_derived_cl42395, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Oplus__class_Oplus @ v_p @
% 199.83/29.15 (c_Polynomial_Osmult @ X0 @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('simplify_reflect-', [status(thm)],
% 199.83/29.15 [zip_derived_cl14450, zip_derived_cl23978])).
% 199.83/29.15 thf(zip_derived_cl42436, plain,
% 199.83/29.15 ((~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)],
% 199.83/29.15 [zip_derived_cl495, zip_derived_cl42395])).
% 199.83/29.15 thf(zip_derived_cl619, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 199.83/29.15 thf(zip_derived_cl627, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ocomm__monoid__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add])).
% 199.83/29.15 thf(cls_add__poly__code_I2_J_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Ocomm__monoid__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Oplus__class_Oplus @
% 199.83/29.15 V_p @ ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @
% 199.83/29.15 ( tc_Polynomial_Opoly @ T_a ) ) =
% 199.83/29.15 ( V_p ) ))).
% 199.83/29.15 thf(zip_derived_cl482, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ocomm__monoid__add @ X0)
% 199.83/29.15 | ((c_HOL_Oplus__class_Oplus @ X1 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0)) = (X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_add__poly__code_I2_J_0])).
% 199.83/29.15 thf(zip_derived_cl18279, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Oplus__class_Oplus @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) = (X0))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl627, zip_derived_cl482])).
% 199.83/29.15 thf(zip_derived_cl42441, plain,
% 199.83/29.15 (((v_p)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl42436, zip_derived_cl619, zip_derived_cl18279])).
% 199.83/29.15 thf(cls_basic__cqe__conv2_0, axiom,
% 199.83/29.15 (( ( hAPP @
% 199.83/29.15 ( c_Polynomial_Opoly @
% 199.83/29.15 ( c_Polynomial_OpCons @
% 199.83/29.15 V_a @ ( c_Polynomial_OpCons @ V_b @ V_p @ tc_Complex_Ocomplex ) @
% 199.83/29.15 tc_Complex_Ocomplex ) @
% 199.83/29.15 tc_Complex_Ocomplex ) @
% 199.83/29.15 ( v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1
% 199.83/29.15 @ V_a @ V_b @ V_p ) ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 199.83/29.15 ( ( V_p ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @
% 199.83/29.15 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ))).
% 199.83/29.15 thf(zip_derived_cl494, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_Polynomial_OpCons @ X0 @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ X2 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 (v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1 @
% 199.83/29.15 X0 @ X1 @ X2))
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((X2)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_basic__cqe__conv2_0])).
% 199.83/29.15 thf(zip_derived_cl42486, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_Polynomial_OpCons @ X0 @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 (v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1 @
% 199.83/29.15 X0 @ (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup+', [status(thm)],
% 199.83/29.15 [zip_derived_cl42441, zip_derived_cl494])).
% 199.83/29.15 thf(zip_derived_cl109833, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup+', [status(thm)],
% 199.83/29.15 [zip_derived_cl42747, zip_derived_cl42486])).
% 199.83/29.15 thf(cls_synthetic__div__pCons_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 199.83/29.15 ( ( c_Polynomial_Osynthetic__div @
% 199.83/29.15 ( c_Polynomial_OpCons @ V_a @ V_p @ T_a ) @ V_c @ T_a ) =
% 199.83/29.15 ( c_Polynomial_OpCons @
% 199.83/29.15 ( hAPP @ ( c_Polynomial_Opoly @ V_p @ T_a ) @ V_c ) @
% 199.83/29.15 ( c_Polynomial_Osynthetic__div @ V_p @ V_c @ T_a ) @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl54, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X3 @ X1 @ X0) @ X2 @ X0)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X1 @ X0) @ X2) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ X1 @ X2 @ X0) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_synthetic__div__pCons_0])).
% 199.83/29.15 thf(zip_derived_cl112925, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((X1) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X0 @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)],
% 199.83/29.15 [zip_derived_cl109833, zip_derived_cl54])).
% 199.83/29.15 thf(zip_derived_cl619, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 199.83/29.15 thf(zip_derived_cl42441, plain,
% 199.83/29.15 (((v_p)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl42436, zip_derived_cl619, zip_derived_cl18279])).
% 199.83/29.15 thf(zip_derived_cl523, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 199.83/29.15 thf(zip_derived_cl54, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X3 @ X1 @ X0) @ X2 @ X0)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X1 @ X0) @ X2) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ X1 @ X2 @ X0) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_synthetic__div__pCons_0])).
% 199.83/29.15 thf(zip_derived_cl4306, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ v_p @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl54])).
% 199.83/29.15 thf(zip_derived_cl619, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 199.83/29.15 thf(zip_derived_cl4310, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ v_p @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('demod', [status(thm)], [zip_derived_cl4306, zip_derived_cl619])).
% 199.83/29.15 thf(zip_derived_cl23978, plain,
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('clc', [status(thm)], [zip_derived_cl23942, zip_derived_cl518])).
% 199.83/29.15 thf(zip_derived_cl41850, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X1 @ v_p @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_Polynomial_Osynthetic__div @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('simplify_reflect-', [status(thm)],
% 199.83/29.15 [zip_derived_cl4310, zip_derived_cl23978])).
% 199.83/29.15 thf(zip_derived_cl42490, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_Polynomial_Osynthetic__div @
% 199.83/29.15 (c_Polynomial_OpCons @ X0 @ v_p @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) = (v_p))),
% 199.83/29.15 inference('s_sup+', [status(thm)],
% 199.83/29.15 [zip_derived_cl42441, zip_derived_cl41850])).
% 199.83/29.15 thf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add, axiom,
% 199.83/29.15 (( class_OrderedGroup_Oab__group__add @ ( tc_Polynomial_Opoly @ T_1 ) ) |
% 199.83/29.15 ( ~( class_OrderedGroup_Oab__group__add @ T_1 ) ))).
% 199.83/29.15 thf(zip_derived_cl665, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ (tc_Polynomial_Opoly @ X0))
% 199.83/29.15 | ~ (class_OrderedGroup_Oab__group__add @ X0))),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(zip_derived_cl630, plain,
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(cls_diff__poly__code_I2_J_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Ominus__class_Ominus @
% 199.83/29.15 V_p @ ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @
% 199.83/29.15 ( tc_Polynomial_Opoly @ T_a ) ) =
% 199.83/29.15 ( V_p ) ))).
% 199.83/29.15 thf(zip_derived_cl478, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0)) = (X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_diff__poly__code_I2_J_0])).
% 199.83/29.15 thf(zip_derived_cl17944, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ominus__class_Ominus @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) = (X0))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl478])).
% 199.83/29.15 thf(cls_eq__eqI_0, axiom,
% 199.83/29.15 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) !=
% 199.83/29.15 ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) ) |
% 199.83/29.15 ( ( V_x_H ) = ( V_y_H ) ))).
% 199.83/29.15 thf(zip_derived_cl114, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X3 @ X3 @ X0)
% 199.83/29.15 != (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0))
% 199.83/29.15 | ((X1) = (X2)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_eq__eqI_0])).
% 199.83/29.15 thf(zip_derived_cl17953, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X1 @ X1 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) != (X0))
% 199.83/29.15 | ((X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl17944, zip_derived_cl114])).
% 199.83/29.15 thf(zip_derived_cl17968, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) != (X1))
% 199.83/29.15 | ((X1)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl665, zip_derived_cl17953])).
% 199.83/29.15 thf(zip_derived_cl630, plain,
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(zip_derived_cl17969, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_HOL_Ominus__class_Ominus @ X0 @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) != (X1))
% 199.83/29.15 | ((X1)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl17968, zip_derived_cl630])).
% 199.83/29.15 thf(zip_derived_cl17982, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('eq_res', [status(thm)], [zip_derived_cl17969])).
% 199.83/29.15 thf(zip_derived_cl523, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 199.83/29.15 thf(zip_derived_cl261, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__ring @ X0)
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ X3 @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0)) @
% 199.83/29.15 X0) @
% 199.83/29.15 X2)
% 199.83/29.15 = (c_HOL_Ominus__class_Ominus @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X1 @ X0) @ X2) @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X3 @ X0) @ X2) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_poly__diff_0])).
% 199.83/29.15 thf(zip_derived_cl13902, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ~ (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ v_p @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0)
% 199.83/29.15 = (c_HOL_Ominus__class_Ominus @
% 199.83/29.15 (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl261])).
% 199.83/29.15 thf(zip_derived_cl632, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring])).
% 199.83/29.15 thf(zip_derived_cl638, plain,
% 199.83/29.15 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 199.83/29.15 thf(zip_derived_cl315, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ X0) @ X0) = (X1)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_diff__0__right_0])).
% 199.83/29.15 thf(zip_derived_cl9916, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ominus__class_Ominus @ X0 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 tc_Complex_Ocomplex) = (X0))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl638, zip_derived_cl315])).
% 199.83/29.15 thf(zip_derived_cl13913, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))
% 199.83/29.15 | ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ v_p @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0)))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl13902, zip_derived_cl632, zip_derived_cl9916])).
% 199.83/29.15 thf(zip_derived_cl23978, plain,
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('clc', [status(thm)], [zip_derived_cl23942, zip_derived_cl518])).
% 199.83/29.15 thf(zip_derived_cl42222, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ v_p @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0) = (hAPP @ (c_Polynomial_Opoly @ X1 @ tc_Complex_Ocomplex) @ X0))),
% 199.83/29.15 inference('simplify_reflect-', [status(thm)],
% 199.83/29.15 [zip_derived_cl13913, zip_derived_cl23978])).
% 199.83/29.15 thf(zip_derived_cl42249, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0) = (hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ X0))),
% 199.83/29.15 inference('s_sup+', [status(thm)],
% 199.83/29.15 [zip_derived_cl17982, zip_derived_cl42222])).
% 199.83/29.15 thf(zip_derived_cl515, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @
% 199.83/29.15 (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_mpoly__base__conv_I1_J_0])).
% 199.83/29.15 thf(zip_derived_cl42252, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 = (hAPP @ (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex) @ X0))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl42249, zip_derived_cl515])).
% 199.83/29.15 thf(cls_monom__0_0, axiom,
% 199.83/29.15 (( ~( class_HOL_Ozero @ T_a ) ) |
% 199.83/29.15 ( ( c_Polynomial_Omonom @
% 199.83/29.15 V_a @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ T_a ) =
% 199.83/29.15 ( c_Polynomial_OpCons @
% 199.83/29.15 V_a @ ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @
% 199.83/29.15 T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl131, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_HOL_Ozero @ X0)
% 199.83/29.15 | ((c_Polynomial_Omonom @ X1 @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 199.83/29.15 X0)
% 199.83/29.15 = (c_Polynomial_OpCons @ X1 @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_monom__0_0])).
% 199.83/29.15 thf(cls_smult__monom_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 199.83/29.15 ( ( c_Polynomial_Osmult @
% 199.83/29.15 V_a @ ( c_Polynomial_Omonom @ V_b @ V_n @ T_a ) @ T_a ) =
% 199.83/29.15 ( c_Polynomial_Omonom @
% 199.83/29.15 ( c_HOL_Otimes__class_Otimes @ V_a @ V_b @ T_a ) @ V_n @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl177, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 199.83/29.15 | ((c_Polynomial_Osmult @ X1 @
% 199.83/29.15 (c_Polynomial_Omonom @ X2 @ X3 @ X0) @ X0)
% 199.83/29.15 = (c_Polynomial_Omonom @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_smult__monom_0])).
% 199.83/29.15 thf(cls_smult__diff__left_0, axiom,
% 199.83/29.15 (( ~( class_Ring__and__Field_Ocomm__ring @ T_a ) ) |
% 199.83/29.15 ( ( c_Polynomial_Osmult @
% 199.83/29.15 ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_p @ T_a ) =
% 199.83/29.15 ( c_HOL_Ominus__class_Ominus @
% 199.83/29.15 ( c_Polynomial_Osmult @ V_a @ V_p @ T_a ) @
% 199.83/29.15 ( c_Polynomial_Osmult @ V_b @ V_p @ T_a ) @
% 199.83/29.15 ( tc_Polynomial_Opoly @ T_a ) ) ))).
% 199.83/29.15 thf(zip_derived_cl363, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__ring @ X0)
% 199.83/29.15 | ((c_Polynomial_Osmult @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ X3 @ X0) @ X2 @ X0)
% 199.83/29.15 = (c_HOL_Ominus__class_Ominus @
% 199.83/29.15 (c_Polynomial_Osmult @ X1 @ X2 @ X0) @
% 199.83/29.15 (c_Polynomial_Osmult @ X3 @ X2 @ X0) @
% 199.83/29.15 (tc_Polynomial_Opoly @ X0))))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_smult__diff__left_0])).
% 199.83/29.15 thf(zip_derived_cl17969, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (((c_HOL_Ominus__class_Ominus @ X0 @ X0 @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) != (X1))
% 199.83/29.15 | ((X1)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl17968, zip_derived_cl630])).
% 199.83/29.15 thf(zip_derived_cl17980, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_Polynomial_Osmult @
% 199.83/29.15 (c_HOL_Ominus__class_Ominus @ X1 @ X1 @ tc_Complex_Ocomplex) @
% 199.83/29.15 X0 @ tc_Complex_Ocomplex) != (X2))
% 199.83/29.15 | ((X2)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl363, zip_derived_cl17969])).
% 199.83/29.15 thf(zip_derived_cl632, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__ring @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring])).
% 199.83/29.15 thf(zip_derived_cl630, plain,
% 199.83/29.15 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 199.83/29.15 thf(zip_derived_cl313, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 199.83/29.15 | ((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_eq__iff__diff__eq__0_0])).
% 199.83/29.15 thf(zip_derived_cl9557, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('s_sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl313])).
% 199.83/29.15 thf(zip_derived_cl17984, plain,
% 199.83/29.15 (![X0 : $i, X2 : $i]:
% 199.83/29.15 (((c_Polynomial_Osmult @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex) != (X2))
% 199.83/29.15 | ((X2)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl17980, zip_derived_cl632, zip_derived_cl9557])).
% 199.83/29.15 thf(zip_derived_cl18208, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 199.83/29.15 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_Polynomial_Omonom @
% 199.83/29.15 (c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X1 @
% 199.83/29.15 tc_Complex_Ocomplex) @
% 199.83/29.15 X0 @ tc_Complex_Ocomplex) != (X2))
% 199.83/29.15 | ((X2)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl177, zip_derived_cl17984])).
% 199.83/29.15 thf(zip_derived_cl619, plain,
% 199.83/29.15 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 199.83/29.15 thf(zip_derived_cl620, plain,
% 199.83/29.15 ( (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)],
% 199.83/29.15 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra])).
% 199.83/29.15 thf(cls_mult_Ozero__left_0, axiom,
% 199.83/29.15 (( ~( class_RealVector_Oreal__normed__algebra @ T_a ) ) |
% 199.83/29.15 ( ( c_HOL_Otimes__class_Otimes @
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_b @ T_a ) =
% 199.83/29.15 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 199.83/29.15 thf(zip_derived_cl297, plain,
% 199.83/29.15 (![X0 : $i, X1 : $i]:
% 199.83/29.15 (~ (class_RealVector_Oreal__normed__algebra @ X0)
% 199.83/29.15 | ((c_HOL_Otimes__class_Otimes @ (c_HOL_Ozero__class_Ozero @ X0) @
% 199.83/29.15 X1 @ X0) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 199.83/29.15 inference('cnf', [status(esa)], [cls_mult_Ozero__left_0])).
% 199.83/29.15 thf(zip_derived_cl2915, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 ((c_HOL_Otimes__class_Otimes @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('dp-resolution', [status(thm)],
% 199.83/29.15 [zip_derived_cl620, zip_derived_cl297])).
% 199.83/29.15 thf(zip_derived_cl18214, plain,
% 199.83/29.15 (![X0 : $i, X2 : $i]:
% 199.83/29.15 (((c_Polynomial_Omonom @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 199.83/29.15 tc_Complex_Ocomplex) != (X2))
% 199.83/29.15 | ((X2)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl18208, zip_derived_cl619, zip_derived_cl2915])).
% 199.83/29.15 thf(zip_derived_cl18215, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (~ (class_HOL_Ozero @ tc_Complex_Ocomplex)
% 199.83/29.15 | ((c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) != (X0))
% 199.83/29.15 | ((X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl131, zip_derived_cl18214])).
% 199.83/29.15 thf(clsarity_Complex__Ocomplex__HOL_Ozero, axiom,
% 199.83/29.15 (class_HOL_Ozero @ tc_Complex_Ocomplex)).
% 199.83/29.15 thf(zip_derived_cl647, plain, ( (class_HOL_Ozero @ tc_Complex_Ocomplex)),
% 199.83/29.15 inference('cnf', [status(esa)], [clsarity_Complex__Ocomplex__HOL_Ozero])).
% 199.83/29.15 thf(zip_derived_cl18218, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex) != (X0))
% 199.83/29.15 | ((X0)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl18215, zip_derived_cl647])).
% 199.83/29.15 thf(zip_derived_cl18220, plain,
% 199.83/29.15 (((c_Polynomial_OpCons @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('eq_res', [status(thm)], [zip_derived_cl18218])).
% 199.83/29.15 thf(zip_derived_cl113212, plain,
% 199.83/29.15 (![X1 : $i]:
% 199.83/29.15 (((X1) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((v_p)
% 199.83/29.15 = (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl112925, zip_derived_cl619, zip_derived_cl42490,
% 199.83/29.15 zip_derived_cl42252, zip_derived_cl18220])).
% 199.83/29.15 thf(zip_derived_cl23978, plain,
% 199.83/29.15 (((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @
% 199.83/29.15 (c_HOL_Ozero__class_Ozero @
% 199.83/29.15 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 199.83/29.15 tc_Complex_Ocomplex))),
% 199.83/29.15 inference('clc', [status(thm)], [zip_derived_cl23942, zip_derived_cl518])).
% 199.83/29.15 thf(zip_derived_cl116853, plain,
% 199.83/29.15 (![X0 : $i]:
% 199.83/29.15 (((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 199.83/29.15 | ((c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)
% 199.83/29.15 != (c_Polynomial_Opoly @ v_p @ tc_Complex_Ocomplex)))),
% 199.83/29.15 inference('s_sup-', [status(thm)],
% 199.83/29.15 [zip_derived_cl113212, zip_derived_cl23978])).
% 199.83/29.15 thf(zip_derived_cl117312, plain,
% 199.83/29.15 (![X0 : $i]: ((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('simplify', [status(thm)], [zip_derived_cl116853])).
% 199.83/29.15 thf(zip_derived_cl117583, plain,
% 199.83/29.15 (((c_Complex_Oii) != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('demod', [status(thm)],
% 199.83/29.15 [zip_derived_cl353, zip_derived_cl117312])).
% 199.83/29.15 thf(zip_derived_cl117312, plain,
% 199.83/29.15 (![X0 : $i]: ((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 199.83/29.15 inference('simplify', [status(thm)], [zip_derived_cl116853])).
% 199.83/29.15 thf(zip_derived_cl117584, plain, ($false),
% 199.83/29.15 inference('simplify_reflect+', [status(thm)],
% 199.83/29.15 [zip_derived_cl117583, zip_derived_cl117312])).
% 199.83/29.15
% 199.83/29.15 % SZS output end Refutation
% 199.83/29.15
% 199.83/29.15
% 199.83/29.15 % Terminating...
% 199.83/29.22 % Runner terminated.
% 199.83/29.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------