%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG368-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cabL5uL6fh true
% Computer : n022.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 : Thu Oct 2 04:28:40 PM UTC 2025
% Result : Unsatisfiable 10.59s 2.06s
% Output : Refutation 10.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG368-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cabL5uL6fh true
% 0.14/0.34 % Computer : n022.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:03:53 EDT 2025
% 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
% 0.45/0.57 % Total configuration time : 435
% 0.45/0.57 % Estimated wc time : 1092
% 0.45/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.59/2.06 % Solved by fo/fo13.sh.
% 10.59/2.06 % done 574 iterations in 1.337s
% 10.59/2.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.59/2.06 % SZS output start Refutation
% 10.59/2.06 thf(v_x_type, type, v_x: $i).
% 10.59/2.06 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 10.59/2.06 $i > $o).
% 10.59/2.06 thf(class_RealVector_Ometric__space_type, type, class_RealVector_Ometric__space:
% 10.59/2.06 $i > $o).
% 10.59/2.06 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 10.59/2.06 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 10.59/2.06 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 10.59/2.06 $i > $i > $i > $i).
% 10.59/2.06 thf(c_RealVector_Odist__class_Odist_type, type, c_RealVector_Odist__class_Odist:
% 10.59/2.06 $i > $i > $i > $i).
% 10.59/2.06 thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 10.59/2.06 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 10.59/2.06 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 10.59/2.06 $i > $o).
% 10.59/2.06 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 10.59/2.06 thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0:
% 10.59/2.06 $i > $o).
% 10.59/2.06 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 10.59/2.06 $i > $i > $i).
% 10.59/2.06 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 10.59/2.06 thf(v_z_type, type, v_z: $i).
% 10.59/2.06 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 10.59/2.06 thf(v_e_type, type, v_e: $i).
% 10.59/2.06 thf(cls_poly__0_0, axiom,
% 10.59/2.06 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 10.59/2.06 ( ( c_Polynomial_Opoly @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_x @
% 10.59/2.06 T_a ) =
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 10.59/2.06 thf(zip_derived_cl821, plain,
% 10.59/2.06 (![X0 : $i, X1 : $i]:
% 10.59/2.06 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 10.59/2.06 | ((c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @ X0)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_poly__0_0])).
% 10.59/2.06 thf(zip_derived_cl821, plain,
% 10.59/2.06 (![X0 : $i, X1 : $i]:
% 10.59/2.06 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 10.59/2.06 | ((c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @ X0)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_poly__0_0])).
% 10.59/2.06 thf(cls_ep_0, axiom,
% 10.59/2.06 (c_HOL_Oord__class_Oless @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_e @ tc_RealDef_Oreal)).
% 10.59/2.06 thf(zip_derived_cl823, plain,
% 10.59/2.06 ( (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_e @ tc_RealDef_Oreal)),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_ep_0])).
% 10.59/2.06 thf(cls_conjecture_2, conjecture,
% 10.59/2.06 (~( ( ~( c_HOL_Oord__class_Oless @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ V_xa @
% 10.59/2.06 tc_RealDef_Oreal ) ) |
% 10.59/2.06 ( ~( c_HOL_Oord__class_Oless @
% 10.59/2.06 ( c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @
% 10.59/2.06 ( c_Polynomial_Opoly @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @
% 10.59/2.06 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @
% 10.59/2.06 ( hAPP @ v_x @ V_xa ) @ v_z @ tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 ( c_Polynomial_Opoly @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @
% 10.59/2.06 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @
% 10.59/2.06 v_z @ v_z @ tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal ) ) ))).
% 10.59/2.06 thf(zf_stmt_0, negated_conjecture,
% 10.59/2.06 (( ~( c_HOL_Oord__class_Oless @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ V_xa @
% 10.59/2.06 tc_RealDef_Oreal ) ) |
% 10.59/2.06 ( ~( c_HOL_Oord__class_Oless @
% 10.59/2.06 ( c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @
% 10.59/2.06 ( c_Polynomial_Opoly @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @
% 10.59/2.06 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @
% 10.59/2.06 ( hAPP @ v_x @ V_xa ) @ v_z @ tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 ( c_Polynomial_Opoly @
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @
% 10.59/2.06 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @ v_z @ v_z @ tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal ) )),
% 10.59/2.06 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 10.59/2.06 thf(zip_derived_cl851, plain,
% 10.59/2.06 (![X0 : $i]:
% 10.59/2.06 (~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 10.59/2.06 tc_RealDef_Oreal)
% 10.59/2.06 | ~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ X0) @ v_z @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ v_z @ v_z @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal))),
% 10.59/2.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.59/2.06 thf(zip_derived_cl1471, plain,
% 10.59/2.06 (~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ v_z @ v_z @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal)),
% 10.59/2.06 inference('s_sup-', [status(thm)], [zip_derived_cl823, zip_derived_cl851])).
% 10.59/2.06 thf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, axiom,
% 10.59/2.06 (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)).
% 10.59/2.06 thf(zip_derived_cl977, plain,
% 10.59/2.06 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 10.59/2.06 inference('cnf', [status(esa)],
% 10.59/2.06 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 10.59/2.06 thf(cls_eq__iff__diff__eq__0_0, axiom,
% 10.59/2.06 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 10.59/2.06 ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) =
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 10.59/2.06 thf(zip_derived_cl833, plain,
% 10.59/2.06 (![X0 : $i, X1 : $i]:
% 10.59/2.06 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 10.59/2.06 | ((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ X0)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_eq__iff__diff__eq__0_0])).
% 10.59/2.06 thf(zip_derived_cl1838, plain,
% 10.59/2.06 (![X0 : $i]:
% 10.59/2.06 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 10.59/2.06 inference('s_sup-', [status(thm)], [zip_derived_cl977, zip_derived_cl833])).
% 10.59/2.06 thf(zip_derived_cl1941, plain,
% 10.59/2.06 (~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal)),
% 10.59/2.06 inference('demod', [status(thm)],
% 10.59/2.06 [zip_derived_cl1471, zip_derived_cl1838])).
% 10.59/2.06 thf(zip_derived_cl4715, plain,
% 10.59/2.06 ((~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 10.59/2.06 | ~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal))),
% 10.59/2.06 inference('s_sup-', [status(thm)],
% 10.59/2.06 [zip_derived_cl821, zip_derived_cl1941])).
% 10.59/2.06 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 10.59/2.06 (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 10.59/2.06 thf(zip_derived_cl966, plain,
% 10.59/2.06 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 10.59/2.06 inference('cnf', [status(esa)],
% 10.59/2.06 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 10.59/2.06 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom,
% 10.59/2.06 (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)).
% 10.59/2.06 thf(zip_derived_cl986, plain,
% 10.59/2.06 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 10.59/2.06 inference('cnf', [status(esa)],
% 10.59/2.06 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 10.59/2.06 thf(cls_diff__0__right_0, axiom,
% 10.59/2.06 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 10.59/2.06 ( ( c_HOL_Ominus__class_Ominus @
% 10.59/2.06 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 10.59/2.06 ( V_a ) ))).
% 10.59/2.06 thf(zip_derived_cl835, plain,
% 10.59/2.06 (![X0 : $i, X1 : $i]:
% 10.59/2.06 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 10.59/2.06 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ X0) @ X0) = (X1)))),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_diff__0__right_0])).
% 10.59/2.06 thf(zip_derived_cl3025, plain,
% 10.59/2.06 (![X0 : $i]:
% 10.59/2.06 ((c_HOL_Ominus__class_Ominus @ X0 @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) = (X0))),
% 10.59/2.06 inference('s_sup-', [status(thm)], [zip_derived_cl986, zip_derived_cl835])).
% 10.59/2.06 thf(zip_derived_cl4725, plain,
% 10.59/2.06 (~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_Polynomial_Opoly @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @
% 10.59/2.06 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ (hAPP @ v_x @ v_e) @ v_z @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal)),
% 10.59/2.06 inference('demod', [status(thm)],
% 10.59/2.06 [zip_derived_cl4715, zip_derived_cl966, zip_derived_cl3025])).
% 10.59/2.06 thf(zip_derived_cl4734, plain,
% 10.59/2.06 ((~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)
% 10.59/2.06 | ~ (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex) @
% 10.59/2.06 v_e @ tc_RealDef_Oreal))),
% 10.59/2.06 inference('s_sup-', [status(thm)],
% 10.59/2.06 [zip_derived_cl821, zip_derived_cl4725])).
% 10.59/2.06 thf(zip_derived_cl966, plain,
% 10.59/2.06 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 10.59/2.06 inference('cnf', [status(esa)],
% 10.59/2.06 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 10.59/2.06 thf(cls_dist__complex__def_0, axiom,
% 10.59/2.06 (( c_RealVector_Odist__class_Odist @ V_x @ V_y @ tc_Complex_Ocomplex ) =
% 10.59/2.06 ( c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ tc_Complex_Ocomplex ) @
% 10.59/2.06 tc_Complex_Ocomplex ))).
% 10.59/2.06 thf(zip_derived_cl806, plain,
% 10.59/2.06 (![X0 : $i, X1 : $i]:
% 10.59/2.06 ((c_RealVector_Odist__class_Odist @ X0 @ X1 @ tc_Complex_Ocomplex)
% 10.59/2.06 = (c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex))),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_dist__complex__def_0])).
% 10.59/2.06 thf(cls_dist__self_0, axiom,
% 10.59/2.06 (( ~( class_RealVector_Ometric__space @ T_a ) ) |
% 10.59/2.06 ( ( c_RealVector_Odist__class_Odist @ V_x @ V_x @ T_a ) =
% 10.59/2.06 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 10.59/2.06 thf(zip_derived_cl581, plain,
% 10.59/2.06 (![X0 : $i, X1 : $i]:
% 10.59/2.06 (~ (class_RealVector_Ometric__space @ X0)
% 10.59/2.06 | ((c_RealVector_Odist__class_Odist @ X1 @ X1 @ X0)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_dist__self_0])).
% 10.59/2.06 thf(zip_derived_cl2390, plain,
% 10.59/2.06 (![X0 : $i]:
% 10.59/2.06 (~ (class_RealVector_Ometric__space @ tc_Complex_Ocomplex)
% 10.59/2.06 | ((c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex) @
% 10.59/2.06 tc_Complex_Ocomplex)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 10.59/2.06 inference('s_sup+', [status(thm)], [zip_derived_cl806, zip_derived_cl581])).
% 10.59/2.06 thf(clsarity_Complex__Ocomplex__RealVector_Ometric__space, axiom,
% 10.59/2.06 (class_RealVector_Ometric__space @ tc_Complex_Ocomplex)).
% 10.59/2.06 thf(zip_derived_cl983, plain,
% 10.59/2.06 ( (class_RealVector_Ometric__space @ tc_Complex_Ocomplex)),
% 10.59/2.06 inference('cnf', [status(esa)],
% 10.59/2.06 [clsarity_Complex__Ocomplex__RealVector_Ometric__space])).
% 10.59/2.06 thf(zip_derived_cl1838, plain,
% 10.59/2.06 (![X0 : $i]:
% 10.59/2.06 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 10.59/2.06 inference('s_sup-', [status(thm)], [zip_derived_cl977, zip_derived_cl833])).
% 10.59/2.06 thf(zip_derived_cl2394, plain,
% 10.59/2.06 (((c_RealVector_Onorm__class_Onorm @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 10.59/2.06 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 10.59/2.06 inference('demod', [status(thm)],
% 10.59/2.06 [zip_derived_cl2390, zip_derived_cl983, zip_derived_cl1838])).
% 10.59/2.06 thf(zip_derived_cl823, plain,
% 10.59/2.06 ( (c_HOL_Oord__class_Oless @
% 10.59/2.06 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_e @ tc_RealDef_Oreal)),
% 10.59/2.06 inference('cnf', [status(esa)], [cls_ep_0])).
% 10.59/2.06 thf(zip_derived_cl4735, plain, ($false),
% 10.59/2.06 inference('demod', [status(thm)],
% 10.59/2.06 [zip_derived_cl4734, zip_derived_cl966, zip_derived_cl2394,
% 10.59/2.06 zip_derived_cl823])).
% 10.59/2.06
% 10.59/2.06 % SZS output end Refutation
% 10.59/2.06
% 10.59/2.06
% 10.59/2.06 % Terminating...
% 10.70/2.14 % Runner terminated.
% 10.70/2.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------