TSTP Solution File: ALG373-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TysqAYHxAH true
% Computer : n013.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 17:12:58 EDT 2023
% Result : Unsatisfiable 7.92s 1.78s
% Output : Refutation 7.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TysqAYHxAH true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 05:50:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.92/1.78 % Solved by fo/fo3_bce.sh.
% 7.92/1.78 % BCE start: 176
% 7.92/1.78 % BCE eliminated: 8
% 7.92/1.78 % PE start: 168
% 7.92/1.78 logic: eq
% 7.92/1.78 % PE eliminated: -62
% 7.92/1.78 % done 948 iterations in 1.025s
% 7.92/1.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.92/1.78 % SZS output start Refutation
% 7.92/1.78 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 7.92/1.78 $i > $i > $i).
% 7.92/1.78 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 7.92/1.78 $i > $o).
% 7.92/1.78 thf(v_p_type, type, v_p: $i).
% 7.92/1.78 thf(v_xa_type, type, v_xa: $i > $i).
% 7.92/1.78 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 7.92/1.78 thf(c_HOL_Oabs__class_Oabs_type, type, c_HOL_Oabs__class_Oabs: $i > $i > $i).
% 7.92/1.78 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 7.92/1.78 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 7.92/1.78 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 7.92/1.78 thf(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1_type, type,
% 7.92/1.78 v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1:
% 7.92/1.78 $i > $i > $i).
% 7.92/1.78 thf(v_x_type, type, v_x: $i > $i).
% 7.92/1.78 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 7.92/1.78 $i > $i > $i).
% 7.92/1.78 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 7.92/1.78 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 7.92/1.78 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 7.92/1.78 $i > $o).
% 7.92/1.78 thf(class_RealVector_Oreal__normed__vector_type, type, class_RealVector_Oreal__normed__vector:
% 7.92/1.78 $i > $o).
% 7.92/1.78 thf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector, axiom,
% 7.92/1.78 (class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal)).
% 7.92/1.78 thf(zip_derived_cl148, plain,
% 7.92/1.78 ( (class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector])).
% 7.92/1.78 thf(cls_norm__minus__cancel_0, axiom,
% 7.92/1.78 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 7.92/1.78 ( ( c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a ) =
% 7.92/1.78 ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) ))).
% 7.92/1.78 thf(zip_derived_cl132, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 7.92/1.78 | ((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X1 @ X0) @ X0)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X1 @ X0)))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_norm__minus__cancel_0])).
% 7.92/1.78 thf(zip_derived_cl801, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl132])).
% 7.92/1.78 thf(zip_derived_cl148, plain,
% 7.92/1.78 ( (class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector])).
% 7.92/1.78 thf(cls_norm__eq__zero_0, axiom,
% 7.92/1.78 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 7.92/1.78 ( ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) !=
% 7.92/1.78 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) |
% 7.92/1.78 ( ( V_x ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 7.92/1.78 thf(zip_derived_cl1, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 7.92/1.78 | ((c_RealVector_Onorm__class_Onorm @ X1 @ X0)
% 7.92/1.78 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 7.92/1.78 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_norm__eq__zero_0])).
% 7.92/1.78 thf(zip_derived_cl784, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (((X0) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 7.92/1.78 | ((c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal)
% 7.92/1.78 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl1])).
% 7.92/1.78 thf(zip_derived_cl1079, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (((c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal)
% 7.92/1.78 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 7.92/1.78 | ((c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl801, zip_derived_cl784])).
% 7.92/1.78 thf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add, axiom,
% 7.92/1.78 (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal)).
% 7.92/1.78 thf(zip_derived_cl153, plain,
% 7.92/1.78 ( (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add])).
% 7.92/1.78 thf(cls_minus__equation__iff_1, axiom,
% 7.92/1.78 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 7.92/1.78 ( ( c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) =
% 7.92/1.78 ( V_b ) ))).
% 7.92/1.78 thf(zip_derived_cl138, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 7.92/1.78 | ((c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X1 @ X0) @ X0) = (X1)))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_minus__equation__iff_1])).
% 7.92/1.78 thf(zip_derived_cl698, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal) = (X0))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl153, zip_derived_cl138])).
% 7.92/1.78 thf(cls_real__less__def_1, axiom,
% 7.92/1.78 (~( c_HOL_Oord__class_Oless @ V_x @ V_x @ tc_RealDef_Oreal ))).
% 7.92/1.78 thf(zip_derived_cl131, plain,
% 7.92/1.78 (![X0 : $i]: ~ (c_HOL_Oord__class_Oless @ X0 @ X0 @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_real__less__def_1])).
% 7.92/1.78 thf(cls_abs__less__iff_1, axiom,
% 7.92/1.78 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 7.92/1.78 ( c_HOL_Oord__class_Oless @
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a ) |
% 7.92/1.78 ( ~( c_HOL_Oord__class_Oless @
% 7.92/1.78 ( c_HOL_Oabs__class_Oabs @ V_a @ T_a ) @ V_b @ T_a ) ))).
% 7.92/1.78 thf(zip_derived_cl59, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.92/1.78 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 7.92/1.78 | (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X1 @ X0) @ X2 @ X0)
% 7.92/1.78 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Oabs__class_Oabs @ X1 @ X0) @
% 7.92/1.78 X2 @ X0))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_abs__less__iff_1])).
% 7.92/1.78 thf(zip_derived_cl2090, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (~ (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 | ~ (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl59])).
% 7.92/1.78 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom, axiom,
% 7.92/1.78 (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)).
% 7.92/1.78 thf(zip_derived_cl149, plain,
% 7.92/1.78 ( (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom])).
% 7.92/1.78 thf(zip_derived_cl2104, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ~ (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('demod', [status(thm)], [zip_derived_cl2090, zip_derived_cl149])).
% 7.92/1.78 thf(zip_derived_cl2850, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ~ (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal) @
% 7.92/1.78 X0 @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl698, zip_derived_cl2104])).
% 7.92/1.78 thf(zip_derived_cl3768, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (~ (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.92/1.78 X0 @ tc_RealDef_Oreal)
% 7.92/1.78 | ((c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal)
% 7.92/1.78 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl1079, zip_derived_cl2850])).
% 7.92/1.78 thf(zip_derived_cl148, plain,
% 7.92/1.78 ( (class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector])).
% 7.92/1.78 thf(cls_norm__zero_0, axiom,
% 7.92/1.78 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 7.92/1.78 ( ( c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 7.92/1.78 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 7.92/1.78 thf(zip_derived_cl86, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 7.92/1.78 | ((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 7.92/1.78 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_norm__zero_0])).
% 7.92/1.78 thf(zip_derived_cl796, plain,
% 7.92/1.78 (((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl86])).
% 7.92/1.78 thf(zip_derived_cl148, plain,
% 7.92/1.78 ( (class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector])).
% 7.92/1.78 thf(cls_abs__norm__cancel_0, axiom,
% 7.92/1.78 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 7.92/1.78 ( ( c_HOL_Oabs__class_Oabs @
% 7.92/1.78 ( c_RealVector_Onorm__class_Onorm @ V_a @ T_a ) @ tc_RealDef_Oreal ) =
% 7.92/1.78 ( c_RealVector_Onorm__class_Onorm @ V_a @ T_a ) ))).
% 7.92/1.78 thf(zip_derived_cl55, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 7.92/1.78 | ((c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X1 @ X0) @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X1 @ X0)))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_abs__norm__cancel_0])).
% 7.92/1.78 thf(zip_derived_cl792, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl55])).
% 7.92/1.78 thf(zip_derived_cl1549, plain,
% 7.92/1.78 (((c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl792])).
% 7.92/1.78 thf(zip_derived_cl796, plain,
% 7.92/1.78 (((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl86])).
% 7.92/1.78 thf(zip_derived_cl1551, plain,
% 7.92/1.78 (((c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('demod', [status(thm)], [zip_derived_cl1549, zip_derived_cl796])).
% 7.92/1.78 thf(zip_derived_cl3794, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (~ (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 | ((c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal)
% 7.92/1.78 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 7.92/1.78 inference('demod', [status(thm)],
% 7.92/1.78 [zip_derived_cl3768, zip_derived_cl1551])).
% 7.92/1.78 thf(cls_poly__bound__exists_0, axiom,
% 7.92/1.78 (c_HOL_Oord__class_Oless @
% 7.92/1.78 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 7.92/1.78 ( v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1
% 7.92/1.78 @ V_p @ V_r ) @
% 7.92/1.78 tc_RealDef_Oreal)).
% 7.92/1.78 thf(zip_derived_cl71, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (c_HOL_Oord__class_Oless @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 7.92/1.78 (v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1 @
% 7.92/1.78 X0 @ X1) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_poly__bound__exists_0])).
% 7.92/1.78 thf(zip_derived_cl4520, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 ((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1 @
% 7.92/1.78 X1 @ X0) @
% 7.92/1.78 tc_RealDef_Oreal) != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup+', [status(thm)], [zip_derived_cl3794, zip_derived_cl71])).
% 7.92/1.78 thf(zip_derived_cl792, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_HOL_Oabs__class_Oabs @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl55])).
% 7.92/1.78 thf(cls_conjecture_1, conjecture,
% 7.92/1.78 (( c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 ( c_Polynomial_Opoly @ v_p @ ( v_xa @ V_xb ) @ tc_Complex_Ocomplex ) @
% 7.92/1.78 tc_Complex_Ocomplex ) !=
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @ ( v_x @ V_xb ) @ tc_RealDef_Oreal ))).
% 7.92/1.78 thf(zf_stmt_0, negated_conjecture,
% 7.92/1.78 (( c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 ( c_Polynomial_Opoly @ v_p @ ( v_xa @ V_xb ) @ tc_Complex_Ocomplex ) @
% 7.92/1.78 tc_Complex_Ocomplex ) =
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @ ( v_x @ V_xb ) @ tc_RealDef_Oreal )),
% 7.92/1.78 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 7.92/1.78 thf(zip_derived_cl174, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_Polynomial_Opoly @ v_p @ (v_xa @ X0) @ tc_Complex_Ocomplex) @
% 7.92/1.78 tc_Complex_Ocomplex)
% 7.92/1.78 = (c_HOL_Ouminus__class_Ouminus @ (v_x @ X0) @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.92/1.78 thf(cls_complex__mod__minus__le__complex__mod_0, axiom,
% 7.92/1.78 (c_lessequals @
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 ( c_RealVector_Onorm__class_Onorm @ V_x @ tc_Complex_Ocomplex ) @
% 7.92/1.78 tc_RealDef_Oreal ) @
% 7.92/1.78 ( c_RealVector_Onorm__class_Onorm @ V_x @ tc_Complex_Ocomplex ) @
% 7.92/1.78 tc_RealDef_Oreal)).
% 7.92/1.78 thf(zip_derived_cl133, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (c_lessequals @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 7.92/1.78 tc_RealDef_Oreal) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [cls_complex__mod__minus__le__complex__mod_0])).
% 7.92/1.78 thf(zip_derived_cl4087, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (c_lessequals @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_Polynomial_Opoly @ v_p @ (v_xa @ X0) @ tc_Complex_Ocomplex) @
% 7.92/1.78 tc_Complex_Ocomplex) @
% 7.92/1.78 tc_RealDef_Oreal) @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ (v_x @ X0) @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl133])).
% 7.92/1.78 thf(zip_derived_cl174, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_Polynomial_Opoly @ v_p @ (v_xa @ X0) @ tc_Complex_Ocomplex) @
% 7.92/1.78 tc_Complex_Ocomplex)
% 7.92/1.78 = (c_HOL_Ouminus__class_Ouminus @ (v_x @ X0) @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.92/1.78 thf(zip_derived_cl698, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal) = (X0))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl153, zip_derived_cl138])).
% 7.92/1.78 thf(zip_derived_cl4100, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (c_lessequals @ (v_x @ X0) @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ (v_x @ X0) @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('demod', [status(thm)],
% 7.92/1.78 [zip_derived_cl4087, zip_derived_cl174, zip_derived_cl698])).
% 7.92/1.78 thf(cls_real__le__trans_0, axiom,
% 7.92/1.78 (( c_lessequals @ V_i @ V_k @ tc_RealDef_Oreal ) |
% 7.92/1.78 ( ~( c_lessequals @ V_j @ V_k @ tc_RealDef_Oreal ) ) |
% 7.92/1.78 ( ~( c_lessequals @ V_i @ V_j @ tc_RealDef_Oreal ) ))).
% 7.92/1.78 thf(zip_derived_cl129, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.92/1.78 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 7.92/1.78 | ~ (c_lessequals @ X2 @ X1 @ tc_RealDef_Oreal)
% 7.92/1.78 | ~ (c_lessequals @ X0 @ X2 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_real__le__trans_0])).
% 7.92/1.78 thf(zip_derived_cl4113, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (c_lessequals @ X1 @ (v_x @ X0) @ tc_RealDef_Oreal)
% 7.92/1.78 | (c_lessequals @ X1 @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ (v_x @ X0) @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl4100, zip_derived_cl129])).
% 7.92/1.78 thf(cls_abs__le__interval__iff_0, axiom,
% 7.92/1.78 (( c_lessequals @
% 7.92/1.78 ( c_HOL_Ouminus__class_Ouminus @ V_r @ tc_RealDef_Oreal ) @ V_x @
% 7.92/1.78 tc_RealDef_Oreal ) |
% 7.92/1.78 ( ~( c_lessequals @
% 7.92/1.78 ( c_HOL_Oabs__class_Oabs @ V_x @ tc_RealDef_Oreal ) @ V_r @
% 7.92/1.78 tc_RealDef_Oreal ) ))).
% 7.92/1.78 thf(zip_derived_cl120, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 ( (c_lessequals @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @ X1 @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 | ~ (c_lessequals @
% 7.92/1.78 (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @ X0 @
% 7.92/1.78 tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_abs__le__interval__iff_0])).
% 7.92/1.78 thf(zip_derived_cl5305, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (c_lessequals @ (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @
% 7.92/1.78 (v_x @ X0) @ tc_RealDef_Oreal)
% 7.92/1.78 | (c_lessequals @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ (v_x @ X0) @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal) @
% 7.92/1.78 X1 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl4113, zip_derived_cl120])).
% 7.92/1.78 thf(zip_derived_cl698, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_HOL_Ouminus__class_Ouminus @
% 7.92/1.78 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal) = (X0))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl153, zip_derived_cl138])).
% 7.92/1.78 thf(zip_derived_cl5313, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (c_lessequals @ (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @
% 7.92/1.78 (v_x @ X0) @ tc_RealDef_Oreal)
% 7.92/1.78 | (c_lessequals @ (v_x @ X0) @ X1 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('demod', [status(thm)], [zip_derived_cl5305, zip_derived_cl698])).
% 7.92/1.78 thf(zip_derived_cl5459, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (c_lessequals @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 (v_x @ X1) @ tc_RealDef_Oreal)
% 7.92/1.78 | (c_lessequals @ (v_x @ X1) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl792, zip_derived_cl5313])).
% 7.92/1.78 thf(cls_real__le__linear_0, axiom,
% 7.92/1.78 (( c_lessequals @ V_w @ V_z @ tc_RealDef_Oreal ) |
% 7.92/1.78 ( c_lessequals @ V_z @ V_w @ tc_RealDef_Oreal ))).
% 7.92/1.78 thf(zip_derived_cl127, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 7.92/1.78 | (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_real__le__linear_0])).
% 7.92/1.78 thf(zip_derived_cl5879, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (c_lessequals @ (v_x @ X1) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('clc', [status(thm)], [zip_derived_cl5459, zip_derived_cl127])).
% 7.92/1.78 thf(cls_real__less__def_2, axiom,
% 7.92/1.78 (( c_HOL_Oord__class_Oless @ V_x @ V_y @ tc_RealDef_Oreal ) |
% 7.92/1.78 ( ( V_x ) = ( V_y ) ) |
% 7.92/1.78 ( ~( c_lessequals @ V_x @ V_y @ tc_RealDef_Oreal ) ))).
% 7.92/1.78 thf(zip_derived_cl134, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 ( (c_HOL_Oord__class_Oless @ X0 @ X1 @ tc_RealDef_Oreal)
% 7.92/1.78 | ((X0) = (X1))
% 7.92/1.78 | ~ (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_real__less__def_2])).
% 7.92/1.78 thf(zip_derived_cl5880, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (((v_x @ X1)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))
% 7.92/1.78 | (c_HOL_Oord__class_Oless @ (v_x @ X1) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl5879, zip_derived_cl134])).
% 7.92/1.78 thf(cls_conjecture_2, conjecture,
% 7.92/1.78 (c_HOL_Oord__class_Oless @ ( v_x @ V_xb ) @ V_xb @ tc_RealDef_Oreal)).
% 7.92/1.78 thf(zf_stmt_1, negated_conjecture,
% 7.92/1.78 (~( c_HOL_Oord__class_Oless @ ( v_x @ V_xb ) @ V_xb @ tc_RealDef_Oreal )),
% 7.92/1.78 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 7.92/1.78 thf(zip_derived_cl173, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ~ (c_HOL_Oord__class_Oless @ (v_x @ X0) @ X0 @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.92/1.78 thf(zip_derived_cl8060, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((v_x @ (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl5880, zip_derived_cl173])).
% 7.92/1.78 thf(zip_derived_cl796, plain,
% 7.92/1.78 (((c_RealVector_Onorm__class_Onorm @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl86])).
% 7.92/1.78 thf(zip_derived_cl5879, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (c_lessequals @ (v_x @ X1) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('clc', [status(thm)], [zip_derived_cl5459, zip_derived_cl127])).
% 7.92/1.78 thf(zip_derived_cl5885, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (c_lessequals @ (v_x @ X0) @
% 7.92/1.78 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl5879])).
% 7.92/1.78 thf(cls_real__le__antisym_0, axiom,
% 7.92/1.78 (( ( V_z ) = ( V_w ) ) |
% 7.92/1.78 ( ~( c_lessequals @ V_w @ V_z @ tc_RealDef_Oreal ) ) |
% 7.92/1.78 ( ~( c_lessequals @ V_z @ V_w @ tc_RealDef_Oreal ) ))).
% 7.92/1.78 thf(zip_derived_cl136, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (((X1) = (X0))
% 7.92/1.78 | ~ (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 7.92/1.78 | ~ (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_real__le__antisym_0])).
% 7.92/1.78 thf(zip_derived_cl5889, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 7.92/1.78 (v_x @ X0) @ tc_RealDef_Oreal)
% 7.92/1.78 | ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) = (v_x @ X0)))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl5885, zip_derived_cl136])).
% 7.92/1.78 thf(zip_derived_cl8098, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)
% 7.92/1.78 | ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 7.92/1.78 = (v_x @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl8060, zip_derived_cl5889])).
% 7.92/1.78 thf(zip_derived_cl148, plain,
% 7.92/1.78 ( (class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal)),
% 7.92/1.78 inference('cnf', [status(esa)],
% 7.92/1.78 [clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector])).
% 7.92/1.78 thf(cls_norm__ge__zero_0, axiom,
% 7.92/1.78 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 7.92/1.78 ( c_lessequals @
% 7.92/1.78 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 7.92/1.78 ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) @ tc_RealDef_Oreal ))).
% 7.92/1.78 thf(zip_derived_cl112, plain,
% 7.92/1.78 (![X0 : $i, X1 : $i]:
% 7.92/1.78 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 7.92/1.78 | (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X1 @ X0) @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('cnf', [status(esa)], [cls_norm__ge__zero_0])).
% 7.92/1.78 thf(zip_derived_cl798, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 7.92/1.78 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal) @
% 7.92/1.78 tc_RealDef_Oreal)),
% 7.92/1.78 inference('dp-resolution', [status(thm)],
% 7.92/1.78 [zip_derived_cl148, zip_derived_cl112])).
% 7.92/1.78 thf(zip_derived_cl8060, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((v_x @ (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('sup-', [status(thm)], [zip_derived_cl5880, zip_derived_cl173])).
% 7.92/1.78 thf(zip_derived_cl8157, plain,
% 7.92/1.78 (![X0 : $i]:
% 7.92/1.78 ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 7.92/1.78 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('demod', [status(thm)],
% 7.92/1.78 [zip_derived_cl8098, zip_derived_cl798, zip_derived_cl8060])).
% 7.92/1.78 thf(zip_derived_cl8214, plain,
% 7.92/1.78 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 7.92/1.78 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.92/1.78 inference('demod', [status(thm)],
% 7.92/1.78 [zip_derived_cl4520, zip_derived_cl8157])).
% 7.92/1.78 thf(zip_derived_cl8215, plain, ($false),
% 7.92/1.78 inference('simplify', [status(thm)], [zip_derived_cl8214])).
% 7.92/1.78
% 7.92/1.78 % SZS output end Refutation
% 7.92/1.78
% 7.92/1.78
% 7.92/1.78 % Terminating...
% 8.45/1.87 % Runner terminated.
% 8.45/1.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------