TSTP Solution File: ALG368-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG368-1 : 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.jIDcL8TxrP true

% Computer : n001.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 17:12:57 EDT 2023

% Result   : Unsatisfiable 9.21s 2.05s
% Output   : Refutation 9.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ALG368-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jIDcL8TxrP true
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Mon Aug 28 05:22:04 EDT 2023
% 0.22/0.37  % CPUTime  : 
% 0.22/0.37  % Running portfolio for 300 s
% 0.22/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.37  % Number of cores: 8
% 0.22/0.37  % Python version: Python 3.6.8
% 0.22/0.37  % 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
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.21/2.05  % Solved by fo/fo13.sh.
% 9.21/2.05  % done 574 iterations in 1.251s
% 9.21/2.05  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.21/2.05  % SZS output start Refutation
% 9.21/2.05  thf(v_x_type, type, v_x: $i).
% 9.21/2.05  thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add: 
% 9.21/2.05      $i > $o).
% 9.21/2.05  thf(class_RealVector_Ometric__space_type, type, class_RealVector_Ometric__space: 
% 9.21/2.05      $i > $o).
% 9.21/2.05  thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 9.21/2.05  thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 9.21/2.05  thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus: 
% 9.21/2.05      $i > $i > $i > $i).
% 9.21/2.05  thf(c_RealVector_Odist__class_Odist_type, type, c_RealVector_Odist__class_Odist: 
% 9.21/2.05      $i > $i > $i > $i).
% 9.21/2.05  thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 9.21/2.05  thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 9.21/2.05  thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add: 
% 9.21/2.05      $i > $o).
% 9.21/2.05  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 9.21/2.05  thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0: 
% 9.21/2.05      $i > $o).
% 9.21/2.05  thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm: 
% 9.21/2.05      $i > $i > $i).
% 9.21/2.05  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 9.21/2.05  thf(v_z_type, type, v_z: $i).
% 9.21/2.05  thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 9.21/2.05  thf(v_e_type, type, v_e: $i).
% 9.21/2.05  thf(cls_poly__0_0, axiom,
% 9.21/2.05    (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) | 
% 9.21/2.05     ( ( c_Polynomial_Opoly @
% 9.21/2.05         ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_x @ 
% 9.21/2.05         T_a ) =
% 9.21/2.05       ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 9.21/2.05  thf(zip_derived_cl821, plain,
% 9.21/2.05      (![X0 : $i, X1 : $i]:
% 9.21/2.05         (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 9.21/2.05          | ((c_Polynomial_Opoly @ 
% 9.21/2.05              (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @ X0)
% 9.21/2.05              = (c_HOL_Ozero__class_Ozero @ X0)))),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_poly__0_0])).
% 9.21/2.05  thf(zip_derived_cl821, plain,
% 9.21/2.05      (![X0 : $i, X1 : $i]:
% 9.21/2.05         (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 9.21/2.05          | ((c_Polynomial_Opoly @ 
% 9.21/2.05              (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @ X0)
% 9.21/2.05              = (c_HOL_Ozero__class_Ozero @ X0)))),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_poly__0_0])).
% 9.21/2.05  thf(cls_ep_0, axiom,
% 9.21/2.05    (c_HOL_Oord__class_Oless @
% 9.21/2.05     ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_e @ tc_RealDef_Oreal)).
% 9.21/2.05  thf(zip_derived_cl823, plain,
% 9.21/2.05      ( (c_HOL_Oord__class_Oless @ 
% 9.21/2.05         (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_e @ tc_RealDef_Oreal)),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_ep_0])).
% 9.21/2.05  thf(cls_conjecture_2, conjecture,
% 9.21/2.05    (~( ( ~( c_HOL_Oord__class_Oless @
% 9.21/2.05             ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ V_xa @ 
% 9.21/2.05             tc_RealDef_Oreal ) ) | 
% 9.21/2.05        ( ~( c_HOL_Oord__class_Oless @
% 9.21/2.05             ( c_RealVector_Onorm__class_Onorm @
% 9.21/2.05               ( c_HOL_Ominus__class_Ominus @
% 9.21/2.05                 ( c_Polynomial_Opoly @
% 9.21/2.05                   ( c_HOL_Ozero__class_Ozero @
% 9.21/2.05                     ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ 
% 9.21/2.05                   ( c_HOL_Ominus__class_Ominus @
% 9.21/2.05                     ( hAPP @ v_x @ V_xa ) @ v_z @ tc_Complex_Ocomplex ) @ 
% 9.21/2.05                   tc_Complex_Ocomplex ) @ 
% 9.21/2.05                 ( c_Polynomial_Opoly @
% 9.21/2.05                   ( c_HOL_Ozero__class_Ozero @
% 9.21/2.05                     ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ 
% 9.21/2.05                   ( c_HOL_Ominus__class_Ominus @
% 9.21/2.05                     v_z @ v_z @ tc_Complex_Ocomplex ) @ 
% 9.21/2.05                   tc_Complex_Ocomplex ) @ 
% 9.21/2.05                 tc_Complex_Ocomplex ) @ 
% 9.21/2.05               tc_Complex_Ocomplex ) @ 
% 9.21/2.05             v_e @ tc_RealDef_Oreal ) ) ))).
% 9.21/2.05  thf(zf_stmt_0, negated_conjecture,
% 9.21/2.05    (( ~( c_HOL_Oord__class_Oless @
% 9.21/2.05          ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ V_xa @ 
% 9.21/2.05          tc_RealDef_Oreal ) ) | 
% 9.21/2.05     ( ~( c_HOL_Oord__class_Oless @
% 9.21/2.05          ( c_RealVector_Onorm__class_Onorm @
% 9.21/2.05            ( c_HOL_Ominus__class_Ominus @
% 9.21/2.05              ( c_Polynomial_Opoly @
% 9.21/2.05                ( c_HOL_Ozero__class_Ozero @
% 9.21/2.05                  ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ 
% 9.21/2.05                ( c_HOL_Ominus__class_Ominus @
% 9.21/2.05                  ( hAPP @ v_x @ V_xa ) @ v_z @ tc_Complex_Ocomplex ) @ 
% 9.21/2.05                tc_Complex_Ocomplex ) @ 
% 9.21/2.05              ( c_Polynomial_Opoly @
% 9.21/2.05                ( c_HOL_Ozero__class_Ozero @
% 9.21/2.05                  ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ 
% 9.21/2.05                ( c_HOL_Ominus__class_Ominus @ v_z @ v_z @ tc_Complex_Ocomplex ) @ 
% 9.21/2.05                tc_Complex_Ocomplex ) @ 
% 9.21/2.05              tc_Complex_Ocomplex ) @ 
% 9.21/2.05            tc_Complex_Ocomplex ) @ 
% 9.21/2.05          v_e @ tc_RealDef_Oreal ) )),
% 9.21/2.05    inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 9.21/2.05  thf(zip_derived_cl851, plain,
% 9.21/2.05      (![X0 : $i]:
% 9.21/2.05         (~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05             (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @ 
% 9.21/2.05             tc_RealDef_Oreal)
% 9.21/2.05          | ~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05               (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05                (c_HOL_Ominus__class_Ominus @ 
% 9.21/2.05                 (c_Polynomial_Opoly @ 
% 9.21/2.05                  (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05                   (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05                  (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ X0) @ v_z @ 
% 9.21/2.05                   tc_Complex_Ocomplex) @ 
% 9.21/2.05                  tc_Complex_Ocomplex) @ 
% 9.21/2.05                 (c_Polynomial_Opoly @ 
% 9.21/2.05                  (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05                   (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05                  (c_HOL_Ominus__class_Ominus @ v_z @ v_z @ tc_Complex_Ocomplex) @ 
% 9.21/2.05                  tc_Complex_Ocomplex) @ 
% 9.21/2.05                 tc_Complex_Ocomplex) @ 
% 9.21/2.05                tc_Complex_Ocomplex) @ 
% 9.21/2.05               v_e @ tc_RealDef_Oreal))),
% 9.21/2.05      inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.21/2.05  thf(zip_derived_cl1471, plain,
% 9.21/2.05      (~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05          (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05           (c_HOL_Ominus__class_Ominus @ 
% 9.21/2.05            (c_Polynomial_Opoly @ 
% 9.21/2.05             (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05             (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @ 
% 9.21/2.05              tc_Complex_Ocomplex) @ 
% 9.21/2.05             tc_Complex_Ocomplex) @ 
% 9.21/2.05            (c_Polynomial_Opoly @ 
% 9.21/2.05             (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05             (c_HOL_Ominus__class_Ominus @ v_z @ v_z @ tc_Complex_Ocomplex) @ 
% 9.21/2.05             tc_Complex_Ocomplex) @ 
% 9.21/2.05            tc_Complex_Ocomplex) @ 
% 9.21/2.05           tc_Complex_Ocomplex) @ 
% 9.21/2.05          v_e @ tc_RealDef_Oreal)),
% 9.21/2.05      inference('s_sup-', [status(thm)], [zip_derived_cl823, zip_derived_cl851])).
% 9.21/2.05  thf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, axiom,
% 9.21/2.05    (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)).
% 9.21/2.05  thf(zip_derived_cl977, plain,
% 9.21/2.05      ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 9.21/2.05      inference('cnf', [status(esa)],
% 9.21/2.05                [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 9.21/2.05  thf(cls_eq__iff__diff__eq__0_0, axiom,
% 9.21/2.05    (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) | 
% 9.21/2.05     ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) =
% 9.21/2.05       ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 9.21/2.05  thf(zip_derived_cl833, plain,
% 9.21/2.05      (![X0 : $i, X1 : $i]:
% 9.21/2.05         (~ (class_OrderedGroup_Oab__group__add @ X0)
% 9.21/2.05          | ((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ X0)
% 9.21/2.05              = (c_HOL_Ozero__class_Ozero @ X0)))),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_eq__iff__diff__eq__0_0])).
% 9.21/2.05  thf(zip_derived_cl1838, plain,
% 9.21/2.05      (![X0 : $i]:
% 9.21/2.05         ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 9.21/2.05           = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.21/2.05      inference('s_sup-', [status(thm)], [zip_derived_cl977, zip_derived_cl833])).
% 9.21/2.05  thf(zip_derived_cl1941, plain,
% 9.21/2.05      (~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05          (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05           (c_HOL_Ominus__class_Ominus @ 
% 9.21/2.05            (c_Polynomial_Opoly @ 
% 9.21/2.05             (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05             (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @ 
% 9.21/2.05              tc_Complex_Ocomplex) @ 
% 9.21/2.05             tc_Complex_Ocomplex) @ 
% 9.21/2.05            (c_Polynomial_Opoly @ 
% 9.21/2.05             (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05             (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ 
% 9.21/2.05             tc_Complex_Ocomplex) @ 
% 9.21/2.05            tc_Complex_Ocomplex) @ 
% 9.21/2.05           tc_Complex_Ocomplex) @ 
% 9.21/2.05          v_e @ tc_RealDef_Oreal)),
% 9.21/2.05      inference('demod', [status(thm)],
% 9.21/2.05                [zip_derived_cl1471, zip_derived_cl1838])).
% 9.21/2.05  thf(zip_derived_cl4715, plain,
% 9.21/2.05      ((~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 9.21/2.05        | ~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05             (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05              (c_HOL_Ominus__class_Ominus @ 
% 9.21/2.05               (c_Polynomial_Opoly @ 
% 9.21/2.05                (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05                 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05                (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @ 
% 9.21/2.05                 tc_Complex_Ocomplex) @ 
% 9.21/2.05                tc_Complex_Ocomplex) @ 
% 9.21/2.05               (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ 
% 9.21/2.05               tc_Complex_Ocomplex) @ 
% 9.21/2.05              tc_Complex_Ocomplex) @ 
% 9.21/2.05             v_e @ tc_RealDef_Oreal))),
% 9.21/2.05      inference('s_sup-', [status(thm)],
% 9.21/2.05                [zip_derived_cl821, zip_derived_cl1941])).
% 9.21/2.05  thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 9.21/2.05    (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 9.21/2.05  thf(zip_derived_cl966, plain,
% 9.21/2.05      ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 9.21/2.05      inference('cnf', [status(esa)],
% 9.21/2.05                [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 9.21/2.05  thf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom,
% 9.21/2.05    (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)).
% 9.21/2.05  thf(zip_derived_cl986, plain,
% 9.21/2.05      ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 9.21/2.05      inference('cnf', [status(esa)],
% 9.21/2.05                [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 9.21/2.05  thf(cls_diff__0__right_0, axiom,
% 9.21/2.05    (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) | 
% 9.21/2.05     ( ( c_HOL_Ominus__class_Ominus @
% 9.21/2.05         V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 9.21/2.05       ( V_a ) ))).
% 9.21/2.05  thf(zip_derived_cl835, plain,
% 9.21/2.05      (![X0 : $i, X1 : $i]:
% 9.21/2.05         (~ (class_OrderedGroup_Ogroup__add @ X0)
% 9.21/2.05          | ((c_HOL_Ominus__class_Ominus @ X1 @ 
% 9.21/2.05              (c_HOL_Ozero__class_Ozero @ X0) @ X0) = (X1)))),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_diff__0__right_0])).
% 9.21/2.05  thf(zip_derived_cl3025, plain,
% 9.21/2.05      (![X0 : $i]:
% 9.21/2.05         ((c_HOL_Ominus__class_Ominus @ X0 @ 
% 9.21/2.05           (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ 
% 9.21/2.05           tc_Complex_Ocomplex) = (X0))),
% 9.21/2.05      inference('s_sup-', [status(thm)], [zip_derived_cl986, zip_derived_cl835])).
% 9.21/2.05  thf(zip_derived_cl4725, plain,
% 9.21/2.05      (~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05          (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05           (c_Polynomial_Opoly @ 
% 9.21/2.05            (c_HOL_Ozero__class_Ozero @ 
% 9.21/2.05             (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 9.21/2.05            (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @ 
% 9.21/2.05             tc_Complex_Ocomplex) @ 
% 9.21/2.05            tc_Complex_Ocomplex) @ 
% 9.21/2.05           tc_Complex_Ocomplex) @ 
% 9.21/2.05          v_e @ tc_RealDef_Oreal)),
% 9.21/2.05      inference('demod', [status(thm)],
% 9.21/2.05                [zip_derived_cl4715, zip_derived_cl966, zip_derived_cl3025])).
% 9.21/2.05  thf(zip_derived_cl4734, plain,
% 9.21/2.05      ((~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 9.21/2.05        | ~ (c_HOL_Oord__class_Oless @ 
% 9.21/2.05             (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05              (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ 
% 9.21/2.05              tc_Complex_Ocomplex) @ 
% 9.21/2.05             v_e @ tc_RealDef_Oreal))),
% 9.21/2.05      inference('s_sup-', [status(thm)],
% 9.21/2.05                [zip_derived_cl821, zip_derived_cl4725])).
% 9.21/2.05  thf(zip_derived_cl966, plain,
% 9.21/2.05      ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 9.21/2.05      inference('cnf', [status(esa)],
% 9.21/2.05                [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 9.21/2.05  thf(cls_dist__complex__def_0, axiom,
% 9.21/2.05    (( c_RealVector_Odist__class_Odist @ V_x @ V_y @ tc_Complex_Ocomplex ) =
% 9.21/2.05     ( c_RealVector_Onorm__class_Onorm @
% 9.21/2.05       ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ tc_Complex_Ocomplex ) @ 
% 9.21/2.05       tc_Complex_Ocomplex ))).
% 9.21/2.05  thf(zip_derived_cl806, plain,
% 9.21/2.05      (![X0 : $i, X1 : $i]:
% 9.21/2.05         ((c_RealVector_Odist__class_Odist @ X0 @ X1 @ tc_Complex_Ocomplex)
% 9.21/2.05           = (c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05              (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_Complex_Ocomplex) @ 
% 9.21/2.05              tc_Complex_Ocomplex))),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_dist__complex__def_0])).
% 9.21/2.05  thf(cls_dist__self_0, axiom,
% 9.21/2.05    (( ~( class_RealVector_Ometric__space @ T_a ) ) | 
% 9.21/2.05     ( ( c_RealVector_Odist__class_Odist @ V_x @ V_x @ T_a ) =
% 9.21/2.05       ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 9.21/2.05  thf(zip_derived_cl581, plain,
% 9.21/2.05      (![X0 : $i, X1 : $i]:
% 9.21/2.05         (~ (class_RealVector_Ometric__space @ X0)
% 9.21/2.05          | ((c_RealVector_Odist__class_Odist @ X1 @ X1 @ X0)
% 9.21/2.05              = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_dist__self_0])).
% 9.21/2.05  thf(zip_derived_cl2390, plain,
% 9.21/2.05      (![X0 : $i]:
% 9.21/2.05         (~ (class_RealVector_Ometric__space @ tc_Complex_Ocomplex)
% 9.21/2.05          | ((c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05              (c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex) @ 
% 9.21/2.05              tc_Complex_Ocomplex)
% 9.21/2.05              = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 9.21/2.05      inference('s_sup+', [status(thm)], [zip_derived_cl806, zip_derived_cl581])).
% 9.21/2.05  thf(clsarity_Complex__Ocomplex__RealVector_Ometric__space, axiom,
% 9.21/2.05    (class_RealVector_Ometric__space @ tc_Complex_Ocomplex)).
% 9.21/2.05  thf(zip_derived_cl983, plain,
% 9.21/2.05      ( (class_RealVector_Ometric__space @ tc_Complex_Ocomplex)),
% 9.21/2.05      inference('cnf', [status(esa)],
% 9.21/2.05                [clsarity_Complex__Ocomplex__RealVector_Ometric__space])).
% 9.21/2.05  thf(zip_derived_cl1838, plain,
% 9.21/2.05      (![X0 : $i]:
% 9.21/2.05         ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 9.21/2.05           = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.21/2.05      inference('s_sup-', [status(thm)], [zip_derived_cl977, zip_derived_cl833])).
% 9.21/2.05  thf(zip_derived_cl2394, plain,
% 9.21/2.05      (((c_RealVector_Onorm__class_Onorm @ 
% 9.21/2.05         (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 9.21/2.05         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 9.21/2.05      inference('demod', [status(thm)],
% 9.21/2.05                [zip_derived_cl2390, zip_derived_cl983, zip_derived_cl1838])).
% 9.21/2.05  thf(zip_derived_cl823, plain,
% 9.21/2.05      ( (c_HOL_Oord__class_Oless @ 
% 9.21/2.05         (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_e @ tc_RealDef_Oreal)),
% 9.21/2.05      inference('cnf', [status(esa)], [cls_ep_0])).
% 9.21/2.05  thf(zip_derived_cl4735, plain, ($false),
% 9.21/2.05      inference('demod', [status(thm)],
% 9.21/2.05                [zip_derived_cl4734, zip_derived_cl966, zip_derived_cl2394, 
% 9.21/2.05                 zip_derived_cl823])).
% 9.21/2.05  
% 9.21/2.05  % SZS output end Refutation
% 9.21/2.05  
% 9.21/2.05  
% 9.21/2.05  % Terminating...
% 10.06/2.15  % Runner terminated.
% 10.06/2.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------