%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG385-1 : 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.jPyWlaLFOo true
% Computer : n010.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 04:28:42 PM UTC 2025
% Result : Unsatisfiable 10.32s 2.09s
% Output : Refutation 10.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG385-1 : TPTP v9.2.0. Released v4.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jPyWlaLFOo true
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:19:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 10.32/2.09 % Solved by fo/fo3_bce.sh.
% 10.32/2.09 % BCE start: 520
% 10.32/2.09 % BCE eliminated: 69
% 10.32/2.09 % PE start: 451
% 10.32/2.09 logic: eq
% 10.32/2.09 % PE eliminated: -56
% 10.32/2.09 % done 618 iterations in 1.351s
% 10.32/2.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.32/2.09 % SZS output start Refutation
% 10.32/2.09 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 10.32/2.09 $i > $i > $i).
% 10.32/2.09 thf(class_RealVector_Oreal__normed__algebra_type, type, class_RealVector_Oreal__normed__algebra:
% 10.32/2.09 $i > $o).
% 10.32/2.09 thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 10.32/2.09 thf(v_c_____type, type, v_c____: $i).
% 10.32/2.09 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 10.32/2.09 $i > $i).
% 10.32/2.09 thf(v_z_____type, type, v_z____: $i).
% 10.32/2.09 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 10.32/2.09 thf(c_Polynomial_OpCons_type, type, c_Polynomial_OpCons: $i > $i > $i > $i).
% 10.32/2.09 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 10.32/2.09 $i > $i > $i > $i).
% 10.32/2.09 thf(v_da_____type, type, v_da____: $i).
% 10.32/2.09 thf(v_aa_____type, type, v_aa____: $i).
% 10.32/2.09 thf(v_cs_____type, type, v_cs____: $i).
% 10.32/2.09 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 10.32/2.09 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 10.32/2.09 $i > $o).
% 10.32/2.09 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 10.32/2.09 $i > $i > $i).
% 10.32/2.09 thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0:
% 10.32/2.09 $i > $o).
% 10.32/2.09 thf(class_Ring__and__Field_Oidom_type, type, class_Ring__and__Field_Oidom:
% 10.32/2.09 $i > $o).
% 10.32/2.09 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 10.32/2.09 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 10.32/2.09 $i > $i > $i > $i).
% 10.32/2.09 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 10.32/2.09 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 10.32/2.09 thf(cls_poly__pCons_0, axiom,
% 10.32/2.09 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 10.32/2.09 ( ( c_Polynomial_Opoly @
% 10.32/2.09 ( c_Polynomial_OpCons @ V_a @ V_p @ T_a ) @ V_x @ T_a ) =
% 10.32/2.09 ( c_HOL_Oplus__class_Oplus @
% 10.32/2.09 V_a @
% 10.32/2.09 ( c_HOL_Otimes__class_Otimes @
% 10.32/2.09 V_x @ ( c_Polynomial_Opoly @ V_p @ V_x @ T_a ) @ T_a ) @
% 10.32/2.09 T_a ) ))).
% 10.32/2.09 thf(zip_derived_cl464, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.09 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 10.32/2.09 | ((c_Polynomial_Opoly @ (c_Polynomial_OpCons @ X1 @ X3 @ X0) @ X2 @
% 10.32/2.09 X0)
% 10.32/2.09 = (c_HOL_Oplus__class_Oplus @ X1 @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ X2 @
% 10.32/2.09 (c_Polynomial_Opoly @ X3 @ X2 @ X0) @ X0) @
% 10.32/2.09 X0)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_poly__pCons_0])).
% 10.32/2.09 thf(zip_derived_cl464, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.32/2.09 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 10.32/2.09 | ((c_Polynomial_Opoly @ (c_Polynomial_OpCons @ X1 @ X3 @ X0) @ X2 @
% 10.32/2.09 X0)
% 10.32/2.09 = (c_HOL_Oplus__class_Oplus @ X1 @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ X2 @
% 10.32/2.09 (c_Polynomial_Opoly @ X3 @ X2 @ X0) @ X0) @
% 10.32/2.09 X0)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_poly__pCons_0])).
% 10.32/2.09 thf(cls_conjecture_0, conjecture,
% 10.32/2.09 (c_lessequals @
% 10.32/2.09 v_da____ @
% 10.32/2.09 ( c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 ( c_Polynomial_Opoly @
% 10.32/2.09 ( c_Polynomial_OpCons @
% 10.32/2.09 v_aa____ @
% 10.32/2.09 ( c_Polynomial_OpCons @ v_c____ @ v_cs____ @ tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_Complex_Ocomplex ) @
% 10.32/2.09 v_z____ @ tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_RealDef_Oreal)).
% 10.32/2.09 thf(zf_stmt_0, negated_conjecture,
% 10.32/2.09 (~( c_lessequals @
% 10.32/2.09 v_da____ @
% 10.32/2.09 ( c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 ( c_Polynomial_Opoly @
% 10.32/2.09 ( c_Polynomial_OpCons @
% 10.32/2.09 v_aa____ @
% 10.32/2.09 ( c_Polynomial_OpCons @ v_c____ @ v_cs____ @ tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_Complex_Ocomplex ) @
% 10.32/2.09 v_z____ @ tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_RealDef_Oreal )),
% 10.32/2.09 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 10.32/2.09 thf(zip_derived_cl519, plain,
% 10.32/2.09 (~ (c_lessequals @ v_da____ @
% 10.32/2.09 (c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 (c_Polynomial_Opoly @
% 10.32/2.09 (c_Polynomial_OpCons @ v_aa____ @
% 10.32/2.09 (c_Polynomial_OpCons @ v_c____ @ v_cs____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 v_z____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_RealDef_Oreal)),
% 10.32/2.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.32/2.09 thf(zip_derived_cl12845, plain,
% 10.32/2.09 ((~ (c_lessequals @ v_da____ @
% 10.32/2.09 (c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 (c_HOL_Oplus__class_Oplus @ v_aa____ @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ v_z____ @
% 10.32/2.09 (c_Polynomial_Opoly @
% 10.32/2.09 (c_Polynomial_OpCons @ v_c____ @ v_cs____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 v_z____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_RealDef_Oreal)
% 10.32/2.09 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex))),
% 10.32/2.09 inference('sup-', [status(thm)], [zip_derived_cl464, zip_derived_cl519])).
% 10.32/2.09 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 10.32/2.09 (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 10.32/2.09 thf(zip_derived_cl499, plain,
% 10.32/2.09 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 10.32/2.09 thf(zip_derived_cl12851, plain,
% 10.32/2.09 (~ (c_lessequals @ v_da____ @
% 10.32/2.09 (c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 (c_HOL_Oplus__class_Oplus @ v_aa____ @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ v_z____ @
% 10.32/2.09 (c_Polynomial_Opoly @
% 10.32/2.09 (c_Polynomial_OpCons @ v_c____ @ v_cs____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 v_z____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_RealDef_Oreal)),
% 10.32/2.09 inference('demod', [status(thm)],
% 10.32/2.09 [zip_derived_cl12845, zip_derived_cl499])).
% 10.32/2.09 thf(zip_derived_cl12863, plain,
% 10.32/2.09 ((~ (c_lessequals @ v_da____ @
% 10.32/2.09 (c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 (c_HOL_Oplus__class_Oplus @ v_aa____ @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ v_z____ @
% 10.32/2.09 (c_HOL_Oplus__class_Oplus @ v_c____ @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ v_z____ @
% 10.32/2.09 (c_Polynomial_Opoly @ v_cs____ @ v_z____ @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_RealDef_Oreal)
% 10.32/2.09 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex))),
% 10.32/2.09 inference('sup-', [status(thm)], [zip_derived_cl464, zip_derived_cl12851])).
% 10.32/2.09 thf(cls_cs0_0, axiom,
% 10.32/2.09 (( v_cs____ ) =
% 10.32/2.09 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ))).
% 10.32/2.09 thf(zip_derived_cl467, plain,
% 10.32/2.09 (((v_cs____)
% 10.32/2.09 = (c_HOL_Ozero__class_Ozero @
% 10.32/2.09 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_cs0_0])).
% 10.32/2.09 thf(cls_order__root_1, axiom,
% 10.32/2.09 (( ~( class_Ring__and__Field_Oidom @ T_a ) ) |
% 10.32/2.09 ( ( c_Polynomial_Opoly @
% 10.32/2.09 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_a @
% 10.32/2.09 T_a ) =
% 10.32/2.09 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 10.32/2.09 thf(zip_derived_cl172, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i]:
% 10.32/2.09 (~ (class_Ring__and__Field_Oidom @ X0)
% 10.32/2.09 | ((c_Polynomial_Opoly @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ X1 @ X0)
% 10.32/2.09 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_order__root_1])).
% 10.32/2.09 thf(zip_derived_cl5810, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 (((c_Polynomial_Opoly @ v_cs____ @ X0 @ tc_Complex_Ocomplex)
% 10.32/2.09 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 10.32/2.09 | ~ (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex))),
% 10.32/2.09 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl172])).
% 10.32/2.09 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom, axiom,
% 10.32/2.09 (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)).
% 10.32/2.09 thf(zip_derived_cl505, plain,
% 10.32/2.09 ( (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__Ring__and__Field_Oidom])).
% 10.32/2.09 thf(zip_derived_cl5811, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 ((c_Polynomial_Opoly @ v_cs____ @ X0 @ tc_Complex_Ocomplex)
% 10.32/2.09 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 10.32/2.09 inference('demod', [status(thm)], [zip_derived_cl5810, zip_derived_cl505])).
% 10.32/2.09 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, axiom,
% 10.32/2.09 (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)).
% 10.32/2.09 thf(zip_derived_cl500, plain,
% 10.32/2.09 ( (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra])).
% 10.32/2.09 thf(cls_mult_Ozero__right_0, axiom,
% 10.32/2.09 (( ~( class_RealVector_Oreal__normed__algebra @ T_a ) ) |
% 10.32/2.09 ( ( c_HOL_Otimes__class_Otimes @
% 10.32/2.09 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 10.32/2.09 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 10.32/2.09 thf(zip_derived_cl305, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i]:
% 10.32/2.09 (~ (class_RealVector_Oreal__normed__algebra @ X0)
% 10.32/2.09 | ((c_HOL_Otimes__class_Otimes @ X1 @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 10.32/2.09 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_mult_Ozero__right_0])).
% 10.32/2.09 thf(zip_derived_cl2755, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 ((c_HOL_Otimes__class_Otimes @ X0 @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex)
% 10.32/2.09 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 10.32/2.09 inference('dp-resolution', [status(thm)],
% 10.32/2.09 [zip_derived_cl500, zip_derived_cl305])).
% 10.32/2.09 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom,
% 10.32/2.09 (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)).
% 10.32/2.09 thf(zip_derived_cl503, plain,
% 10.32/2.09 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 10.32/2.09 thf(cls_diff__minus_0, axiom,
% 10.32/2.09 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 10.32/2.09 ( ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) =
% 10.32/2.09 ( c_HOL_Oplus__class_Oplus @
% 10.32/2.09 V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ))).
% 10.32/2.09 thf(zip_derived_cl175, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.32/2.09 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 10.32/2.09 | ((c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0)
% 10.32/2.09 = (c_HOL_Oplus__class_Oplus @ X1 @
% 10.32/2.09 (c_HOL_Ouminus__class_Ouminus @ X2 @ X0) @ X0)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_diff__minus_0])).
% 10.32/2.09 thf(zip_derived_cl2831, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i]:
% 10.32/2.09 ((c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_Complex_Ocomplex)
% 10.32/2.09 = (c_HOL_Oplus__class_Oplus @ X1 @
% 10.32/2.09 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex))),
% 10.32/2.09 inference('dp-resolution', [status(thm)],
% 10.32/2.09 [zip_derived_cl503, zip_derived_cl175])).
% 10.32/2.09 thf(zip_derived_cl503, plain,
% 10.32/2.09 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 10.32/2.09 thf(cls_diff__0__right_0, axiom,
% 10.32/2.09 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 10.32/2.09 ( ( c_HOL_Ominus__class_Ominus @
% 10.32/2.09 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 10.32/2.09 ( V_a ) ))).
% 10.32/2.09 thf(zip_derived_cl92, plain,
% 10.32/2.09 (![X0 : $i, X1 : $i]:
% 10.32/2.09 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 10.32/2.09 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ X0) @ X0) = (X1)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_diff__0__right_0])).
% 10.32/2.09 thf(zip_derived_cl2826, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 ((c_HOL_Ominus__class_Ominus @ X0 @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) = (X0))),
% 10.32/2.09 inference('dp-resolution', [status(thm)],
% 10.32/2.09 [zip_derived_cl503, zip_derived_cl92])).
% 10.32/2.09 thf(zip_derived_cl5014, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 ((c_HOL_Oplus__class_Oplus @ X0 @
% 10.32/2.09 (c_HOL_Ouminus__class_Ouminus @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) = (X0))),
% 10.32/2.09 inference('sup+', [status(thm)], [zip_derived_cl2831, zip_derived_cl2826])).
% 10.32/2.09 thf(zip_derived_cl503, plain,
% 10.32/2.09 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 10.32/2.09 thf(cls_neg__0__equal__iff__equal_1, axiom,
% 10.32/2.09 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 10.32/2.09 ( ( c_HOL_Ozero__class_Ozero @ T_a ) =
% 10.32/2.09 ( c_HOL_Ouminus__class_Ouminus @
% 10.32/2.09 ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) ))).
% 10.32/2.09 thf(zip_derived_cl392, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 10.32/2.09 | ((c_HOL_Ozero__class_Ozero @ X0)
% 10.32/2.09 = (c_HOL_Ouminus__class_Ouminus @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ X0) @ X0)))),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_neg__0__equal__iff__equal_1])).
% 10.32/2.09 thf(zip_derived_cl2845, plain,
% 10.32/2.09 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 10.32/2.09 = (c_HOL_Ouminus__class_Ouminus @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex))),
% 10.32/2.09 inference('dp-resolution', [status(thm)],
% 10.32/2.09 [zip_derived_cl503, zip_derived_cl392])).
% 10.32/2.09 thf(zip_derived_cl5016, plain,
% 10.32/2.09 (![X0 : $i]:
% 10.32/2.09 ((c_HOL_Oplus__class_Oplus @ X0 @
% 10.32/2.09 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) = (X0))),
% 10.32/2.09 inference('demod', [status(thm)],
% 10.32/2.09 [zip_derived_cl5014, zip_derived_cl2845])).
% 10.32/2.09 thf(cls_CHAINED_0_01, axiom,
% 10.32/2.09 (c_lessequals @
% 10.32/2.09 v_da____ @
% 10.32/2.09 ( c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 ( c_HOL_Oplus__class_Oplus @
% 10.32/2.09 v_aa____ @
% 10.32/2.09 ( c_HOL_Otimes__class_Otimes @ v_z____ @ v_c____ @ tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_Complex_Ocomplex ) @
% 10.32/2.09 tc_RealDef_Oreal)).
% 10.32/2.09 thf(zip_derived_cl483, plain,
% 10.32/2.09 ( (c_lessequals @ v_da____ @
% 10.32/2.09 (c_RealVector_Onorm__class_Onorm @
% 10.32/2.09 (c_HOL_Oplus__class_Oplus @ v_aa____ @
% 10.32/2.09 (c_HOL_Otimes__class_Otimes @ v_z____ @ v_c____ @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_Complex_Ocomplex) @
% 10.32/2.09 tc_RealDef_Oreal)),
% 10.32/2.09 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 10.32/2.09 thf(zip_derived_cl499, plain,
% 10.32/2.09 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 10.32/2.09 inference('cnf', [status(esa)],
% 10.32/2.09 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 10.32/2.09 thf(zip_derived_cl12864, plain, ($false),
% 10.32/2.09 inference('demod', [status(thm)],
% 10.32/2.09 [zip_derived_cl12863, zip_derived_cl5811, zip_derived_cl2755,
% 10.32/2.09 zip_derived_cl5016, zip_derived_cl483, zip_derived_cl499])).
% 10.32/2.09
% 10.32/2.09 % SZS output end Refutation
% 10.32/2.09
% 10.32/2.09
% 10.32/2.09 % Terminating...
% 10.83/2.15 % Runner terminated.
% 10.83/2.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------