TSTP Solution File: ALG413-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG413-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s3pIosfgBP true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:13:06 EDT 2023
% Result : Unsatisfiable 17.10s 3.03s
% Output : Refutation 17.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG413-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s3pIosfgBP true
% 0.15/0.36 % Computer : n017.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 05:06:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.10/3.03 % Solved by fo/fo3_bce.sh.
% 17.10/3.03 % BCE start: 528
% 17.10/3.03 % BCE eliminated: 21
% 17.10/3.03 % PE start: 507
% 17.10/3.03 logic: eq
% 17.10/3.03 % PE eliminated: -60
% 17.10/3.03 % done 782 iterations in 2.267s
% 17.10/3.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.10/3.03 % SZS output start Refutation
% 17.10/3.03 thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0:
% 17.10/3.03 $i > $o).
% 17.10/3.03 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 17.10/3.03 thf(c_RealVector_OscaleR__class_OscaleR_type, type, c_RealVector_OscaleR__class_OscaleR:
% 17.10/3.03 $i > $i > $i > $i).
% 17.10/3.03 thf(v_ds_____type, type, v_ds____: $i).
% 17.10/3.03 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 17.10/3.03 $i > $i).
% 17.10/3.03 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 17.10/3.03 thf(class_RealVector_Oreal__algebra__1_type, type, class_RealVector_Oreal__algebra__1:
% 17.10/3.03 $i > $o).
% 17.10/3.03 thf(v_d_____type, type, v_d____: $i).
% 17.10/3.03 thf(c_HOL_Oabs__class_Oabs_type, type, c_HOL_Oabs__class_Oabs: $i > $i > $i).
% 17.10/3.03 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 17.10/3.03 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 17.10/3.03 $i > $o).
% 17.10/3.03 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 17.10/3.03 $i > $i > $i > $i).
% 17.10/3.03 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 17.10/3.03 $i > $i > $i > $i).
% 17.10/3.03 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 17.10/3.03 $i > $i > $i).
% 17.10/3.03 thf(c_Polynomial_OpCons_type, type, c_Polynomial_OpCons: $i > $i > $i > $i).
% 17.10/3.03 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 17.10/3.03 $i > $i > $i).
% 17.10/3.03 thf(class_RealVector_Oreal__normed__vector_type, type, class_RealVector_Oreal__normed__vector:
% 17.10/3.03 $i > $o).
% 17.10/3.03 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 17.10/3.03 thf(v_x_____type, type, v_x____: $i).
% 17.10/3.03 thf(c_RealVector_Oof__real_type, type, c_RealVector_Oof__real: $i > $i > $i).
% 17.10/3.03 thf(cls_CHAINED_0, axiom,
% 17.10/3.03 (( c_Polynomial_Opoly @
% 17.10/3.03 ( c_Polynomial_OpCons @ v_d____ @ v_ds____ @ tc_Complex_Ocomplex ) @
% 17.10/3.03 ( c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) =
% 17.10/3.03 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ))).
% 17.10/3.03 thf(zip_derived_cl483, plain,
% 17.10/3.03 (((c_Polynomial_Opoly @
% 17.10/3.03 (c_Polynomial_OpCons @ v_d____ @ v_ds____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 17.10/3.03 thf(cls_poly__pCons_0, axiom,
% 17.10/3.03 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 17.10/3.03 ( ( c_Polynomial_Opoly @
% 17.10/3.03 ( c_Polynomial_OpCons @ V_a @ V_p @ T_a ) @ V_x @ T_a ) =
% 17.10/3.03 ( c_HOL_Oplus__class_Oplus @
% 17.10/3.03 V_a @
% 17.10/3.03 ( c_HOL_Otimes__class_Otimes @
% 17.10/3.03 V_x @ ( c_Polynomial_Opoly @ V_p @ V_x @ T_a ) @ T_a ) @
% 17.10/3.03 T_a ) ))).
% 17.10/3.03 thf(zip_derived_cl452, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.10/3.03 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 17.10/3.03 | ((c_Polynomial_Opoly @ (c_Polynomial_OpCons @ X1 @ X3 @ X0) @ X2 @
% 17.10/3.03 X0)
% 17.10/3.03 = (c_HOL_Oplus__class_Oplus @ X1 @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @ X2 @
% 17.10/3.03 (c_Polynomial_Opoly @ X3 @ X2 @ X0) @ X0) @
% 17.10/3.03 X0)))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_poly__pCons_0])).
% 17.10/3.03 thf(zip_derived_cl16167, plain,
% 17.10/3.03 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Oplus__class_Oplus @ v_d____ @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex))
% 17.10/3.03 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl452])).
% 17.10/3.03 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 17.10/3.03 (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 17.10/3.03 thf(zip_derived_cl502, plain,
% 17.10/3.03 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 17.10/3.03 inference('cnf', [status(esa)],
% 17.10/3.03 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 17.10/3.03 thf(zip_derived_cl16169, plain,
% 17.10/3.03 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Oplus__class_Oplus @ v_d____ @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex))),
% 17.10/3.03 inference('demod', [status(thm)],
% 17.10/3.03 [zip_derived_cl16167, zip_derived_cl502])).
% 17.10/3.03 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom,
% 17.10/3.03 (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)).
% 17.10/3.03 thf(zip_derived_cl508, plain,
% 17.10/3.03 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 17.10/3.03 inference('cnf', [status(esa)],
% 17.10/3.03 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 17.10/3.03 thf(cls_diff__minus__eq__add_0, axiom,
% 17.10/3.03 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 17.10/3.03 ( ( c_HOL_Ominus__class_Ominus @
% 17.10/3.03 V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) =
% 17.10/3.03 ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) ))).
% 17.10/3.03 thf(zip_derived_cl319, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.10/3.03 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 17.10/3.03 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ X2 @ X0) @ X0)
% 17.10/3.03 = (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_diff__minus__eq__add_0])).
% 17.10/3.03 thf(zip_derived_cl3239, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 ((c_HOL_Ominus__class_Ominus @ X1 @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('dp-resolution', [status(thm)],
% 17.10/3.03 [zip_derived_cl508, zip_derived_cl319])).
% 17.10/3.03 thf(zip_derived_cl16717, plain,
% 17.10/3.03 (((c_HOL_Ominus__class_Ominus @ v_d____ @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('sup+', [status(thm)],
% 17.10/3.03 [zip_derived_cl16169, zip_derived_cl3239])).
% 17.10/3.03 thf(zip_derived_cl508, plain,
% 17.10/3.03 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 17.10/3.03 inference('cnf', [status(esa)],
% 17.10/3.03 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 17.10/3.03 thf(cls_minus__unique_0, axiom,
% 17.10/3.03 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 17.10/3.03 ( ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) !=
% 17.10/3.03 ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 17.10/3.03 ( ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) = ( V_b ) ))).
% 17.10/3.03 thf(zip_derived_cl277, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.10/3.03 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 17.10/3.03 | ((c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)
% 17.10/3.03 != (c_HOL_Ozero__class_Ozero @ X0))
% 17.10/3.03 | ((c_HOL_Ouminus__class_Ouminus @ X1 @ X0) = (X2)))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_minus__unique_0])).
% 17.10/3.03 thf(zip_derived_cl3236, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 (((c_HOL_Ouminus__class_Ouminus @ X1 @ tc_Complex_Ocomplex) = (X0))
% 17.10/3.03 | ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_Complex_Ocomplex)
% 17.10/3.03 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 17.10/3.03 inference('dp-resolution', [status(thm)],
% 17.10/3.03 [zip_derived_cl508, zip_derived_cl277])).
% 17.10/3.03 thf(zip_derived_cl3239, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 ((c_HOL_Ominus__class_Ominus @ X1 @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('dp-resolution', [status(thm)],
% 17.10/3.03 [zip_derived_cl508, zip_derived_cl319])).
% 17.10/3.03 thf(zip_derived_cl5827, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 (((c_HOL_Ouminus__class_Ouminus @ X1 @ tc_Complex_Ocomplex) = (X0))
% 17.10/3.03 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 17.10/3.03 inference('demod', [status(thm)],
% 17.10/3.03 [zip_derived_cl3236, zip_derived_cl3239])).
% 17.10/3.03 thf(zip_derived_cl18795, plain,
% 17.10/3.03 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 17.10/3.03 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 17.10/3.03 | ((c_HOL_Ouminus__class_Ouminus @ v_d____ @ tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)))),
% 17.10/3.03 inference('sup-', [status(thm)],
% 17.10/3.03 [zip_derived_cl16717, zip_derived_cl5827])).
% 17.10/3.03 thf(zip_derived_cl18808, plain,
% 17.10/3.03 (((c_HOL_Ouminus__class_Ouminus @ v_d____ @ tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex))),
% 17.10/3.03 inference('simplify', [status(thm)], [zip_derived_cl18795])).
% 17.10/3.03 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom,
% 17.10/3.03 (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)).
% 17.10/3.03 thf(zip_derived_cl504, plain,
% 17.10/3.03 ( (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)),
% 17.10/3.03 inference('cnf', [status(esa)],
% 17.10/3.03 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector])).
% 17.10/3.03 thf(cls_norm__scaleR_0, axiom,
% 17.10/3.03 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 17.10/3.03 ( ( c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 ( c_RealVector_OscaleR__class_OscaleR @ V_a @ V_x @ T_a ) @ T_a ) =
% 17.10/3.03 ( c_HOL_Otimes__class_Otimes @
% 17.10/3.03 ( c_HOL_Oabs__class_Oabs @ V_a @ tc_RealDef_Oreal ) @
% 17.10/3.03 ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) @ tc_RealDef_Oreal ) ))).
% 17.10/3.03 thf(zip_derived_cl166, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.10/3.03 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 17.10/3.03 | ((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_RealVector_OscaleR__class_OscaleR @ X1 @ X2 @ X0) @ X0)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @ X2 @ X0) @ tc_RealDef_Oreal)))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_norm__scaleR_0])).
% 17.10/3.03 thf(zip_derived_cl3140, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 ((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_RealVector_OscaleR__class_OscaleR @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_RealDef_Oreal))),
% 17.10/3.03 inference('dp-resolution', [status(thm)],
% 17.10/3.03 [zip_derived_cl504, zip_derived_cl166])).
% 17.10/3.03 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1, axiom,
% 17.10/3.03 (class_RealVector_Oreal__algebra__1 @ tc_Complex_Ocomplex)).
% 17.10/3.03 thf(zip_derived_cl507, plain,
% 17.10/3.03 ( (class_RealVector_Oreal__algebra__1 @ tc_Complex_Ocomplex)),
% 17.10/3.03 inference('cnf', [status(esa)],
% 17.10/3.03 [clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1])).
% 17.10/3.03 thf(cls_scaleR__conv__of__real_0, axiom,
% 17.10/3.03 (( ~( class_RealVector_Oreal__algebra__1 @ T_a ) ) |
% 17.10/3.03 ( ( c_RealVector_OscaleR__class_OscaleR @ V_r @ V_x @ T_a ) =
% 17.10/3.03 ( c_HOL_Otimes__class_Otimes @
% 17.10/3.03 ( c_RealVector_Oof__real @ V_r @ T_a ) @ V_x @ T_a ) ))).
% 17.10/3.03 thf(zip_derived_cl467, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.10/3.03 (~ (class_RealVector_Oreal__algebra__1 @ X0)
% 17.10/3.03 | ((c_RealVector_OscaleR__class_OscaleR @ X1 @ X2 @ X0)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ X1 @ X0) @ X2 @ X0)))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_scaleR__conv__of__real_0])).
% 17.10/3.03 thf(zip_derived_cl3077, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 ((c_RealVector_OscaleR__class_OscaleR @ X1 @ X0 @ tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ X1 @ tc_Complex_Ocomplex) @ X0 @
% 17.10/3.03 tc_Complex_Ocomplex))),
% 17.10/3.03 inference('dp-resolution', [status(thm)],
% 17.10/3.03 [zip_derived_cl507, zip_derived_cl467])).
% 17.10/3.03 thf(zip_derived_cl9445, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 ((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ X1 @ tc_Complex_Ocomplex) @ X0 @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_RealDef_Oreal))),
% 17.10/3.03 inference('demod', [status(thm)],
% 17.10/3.03 [zip_derived_cl3140, zip_derived_cl3077])).
% 17.10/3.03 thf(zip_derived_cl19378, plain,
% 17.10/3.03 (((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ v_d____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ v_x____ @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_RealDef_Oreal))),
% 17.10/3.03 inference('sup+', [status(thm)],
% 17.10/3.03 [zip_derived_cl18808, zip_derived_cl9445])).
% 17.10/3.03 thf(zip_derived_cl504, plain,
% 17.10/3.03 ( (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)),
% 17.10/3.03 inference('cnf', [status(esa)],
% 17.10/3.03 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector])).
% 17.10/3.03 thf(cls_norm__minus__cancel_0, axiom,
% 17.10/3.03 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 17.10/3.03 ( ( c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a ) =
% 17.10/3.03 ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) ))).
% 17.10/3.03 thf(zip_derived_cl449, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 17.10/3.03 | ((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ X1 @ X0) @ X0)
% 17.10/3.03 = (c_RealVector_Onorm__class_Onorm @ X1 @ X0)))),
% 17.10/3.03 inference('cnf', [status(esa)], [cls_norm__minus__cancel_0])).
% 17.10/3.03 thf(zip_derived_cl3147, plain,
% 17.10/3.03 (![X0 : $i]:
% 17.10/3.03 ((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('dp-resolution', [status(thm)],
% 17.10/3.03 [zip_derived_cl504, zip_derived_cl449])).
% 17.10/3.03 thf(zip_derived_cl19433, plain,
% 17.10/3.03 (((c_RealVector_Onorm__class_Onorm @ v_d____ @ tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ v_x____ @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_RealDef_Oreal))),
% 17.10/3.03 inference('demod', [status(thm)],
% 17.10/3.03 [zip_derived_cl19378, zip_derived_cl3147])).
% 17.10/3.03 thf(cls_conjecture_0, conjecture,
% 17.10/3.03 (( c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 ( c_HOL_Otimes__class_Otimes @
% 17.10/3.03 ( c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex ) @
% 17.10/3.03 ( c_Polynomial_Opoly @
% 17.10/3.03 v_ds____ @
% 17.10/3.03 ( c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) =
% 17.10/3.03 ( c_RealVector_Onorm__class_Onorm @ v_d____ @ tc_Complex_Ocomplex ))).
% 17.10/3.03 thf(zf_stmt_0, negated_conjecture,
% 17.10/3.03 (( c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 ( c_HOL_Otimes__class_Otimes @
% 17.10/3.03 ( c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex ) @
% 17.10/3.03 ( c_Polynomial_Opoly @
% 17.10/3.03 v_ds____ @
% 17.10/3.03 ( c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) @
% 17.10/3.03 tc_Complex_Ocomplex ) !=
% 17.10/3.03 ( c_RealVector_Onorm__class_Onorm @ v_d____ @ tc_Complex_Ocomplex )),
% 17.10/3.03 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 17.10/3.03 thf(zip_derived_cl527, plain,
% 17.10/3.03 (((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 != (c_RealVector_Onorm__class_Onorm @ v_d____ @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.10/3.03 thf(zip_derived_cl9445, plain,
% 17.10/3.03 (![X0 : $i, X1 : $i]:
% 17.10/3.03 ((c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_RealVector_Oof__real @ X1 @ tc_Complex_Ocomplex) @ X0 @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex)
% 17.10/3.03 = (c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ X1 @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_RealDef_Oreal))),
% 17.10/3.03 inference('demod', [status(thm)],
% 17.10/3.03 [zip_derived_cl3140, zip_derived_cl3077])).
% 17.10/3.03 thf(zip_derived_cl9446, plain,
% 17.10/3.03 (((c_HOL_Otimes__class_Otimes @
% 17.10/3.03 (c_HOL_Oabs__class_Oabs @ v_x____ @ tc_RealDef_Oreal) @
% 17.10/3.03 (c_RealVector_Onorm__class_Onorm @
% 17.10/3.03 (c_Polynomial_Opoly @ v_ds____ @
% 17.10/3.03 (c_RealVector_Oof__real @ v_x____ @ tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_Complex_Ocomplex) @
% 17.10/3.03 tc_RealDef_Oreal)
% 17.10/3.03 != (c_RealVector_Onorm__class_Onorm @ v_d____ @ tc_Complex_Ocomplex))),
% 17.10/3.03 inference('demod', [status(thm)], [zip_derived_cl527, zip_derived_cl9445])).
% 17.10/3.03 thf(zip_derived_cl19434, plain, ($false),
% 17.10/3.03 inference('simplify_reflect-', [status(thm)],
% 17.10/3.03 [zip_derived_cl19433, zip_derived_cl9446])).
% 17.10/3.03
% 17.10/3.03 % SZS output end Refutation
% 17.10/3.03
% 17.10/3.03
% 17.10/3.03 % Terminating...
% 17.10/3.07 % Runner terminated.
% 17.10/3.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------