%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV627-1 : 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.ubpE5QvCkd true
% Computer : n023.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 05:01:45 PM UTC 2025
% Result : Unsatisfiable 9.50s 2.97s
% Output : Refutation 9.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV627-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ubpE5QvCkd true
% 0.14/0.37 % Computer : n023.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 12:45:08 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.49/0.65 % Total configuration time : 435
% 0.49/0.65 % Estimated wc time : 1092
% 0.49/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.86 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.50/2.97 % Solved by fo/fo6_bce.sh.
% 9.50/2.97 % BCE start: 766
% 9.50/2.97 % BCE eliminated: 216
% 9.50/2.97 % PE start: 550
% 9.50/2.97 logic: eq
% 9.50/2.97 % PE eliminated: -58
% 9.50/2.97 % done 420 iterations in 2.115s
% 9.50/2.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.50/2.97 % SZS output start Refutation
% 9.50/2.97 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 9.50/2.97 $i > $o).
% 9.50/2.97 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 9.50/2.97 $i > $o).
% 9.50/2.97 thf(class_RealVector_Oreal__normed__field_type, type, class_RealVector_Oreal__normed__field:
% 9.50/2.97 $i > $o).
% 9.50/2.97 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 9.50/2.97 thf(class_OrderedGroup_Omonoid__mult_type, type, class_OrderedGroup_Omonoid__mult:
% 9.50/2.97 $i > $o).
% 9.50/2.97 thf(class_Ring__and__Field_Odivision__by__zero_type, type, class_Ring__and__Field_Odivision__by__zero:
% 9.50/2.97 $i > $o).
% 9.50/2.97 thf(v_k_type, type, v_k: $i).
% 9.50/2.97 thf(v_n_type, type, v_n: $i).
% 9.50/2.97 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 9.50/2.97 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 9.50/2.97 $i > $i > $i > $i).
% 9.50/2.97 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 9.50/2.97 $i > $i > $i > $i).
% 9.50/2.97 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 9.50/2.97 thf(c_HOL_Oinverse__class_Oinverse_type, type, c_HOL_Oinverse__class_Oinverse:
% 9.50/2.97 $i > $i > $i).
% 9.50/2.97 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 9.50/2.97 $i > $i > $i > $i).
% 9.50/2.97 thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 9.50/2.97 thf(class_Int_Onumber__ring_type, type, class_Int_Onumber__ring: $i > $o).
% 9.50/2.97 thf(cls_conjecture_0, conjecture,
% 9.50/2.97 (( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Ominus__class_Ominus @
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_FFT__Mirabelle_Oroot @ v_n ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 v_n @ tc_Complex_Ocomplex ) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_HOL_Ominus__class_Ominus @
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_FFT__Mirabelle_Oroot @ v_n ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 tc_Complex_Ocomplex ) =
% 9.50/2.97 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ))).
% 9.50/2.97 thf(zf_stmt_0, negated_conjecture,
% 9.50/2.97 (( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Ominus__class_Ominus @
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_FFT__Mirabelle_Oroot @ v_n ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 v_n @ tc_Complex_Ocomplex ) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_HOL_Ominus__class_Ominus @
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_FFT__Mirabelle_Oroot @ v_n ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex ) @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @
% 9.50/2.97 tc_Complex_Ocomplex ) !=
% 9.50/2.97 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex )),
% 9.50/2.97 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 9.50/2.97 thf(zip_derived_cl673, plain,
% 9.50/2.97 (((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Ominus__class_Ominus @
% 9.50/2.97 (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_FFT__Mirabelle_Oroot @ v_n) @ tc_Complex_Ocomplex) @
% 9.50/2.97 v_n @ tc_Complex_Ocomplex) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_HOL_Ominus__class_Ominus @
% 9.50/2.97 (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_FFT__Mirabelle_Oroot @ v_n) @ tc_Complex_Ocomplex) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.50/2.97 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield, axiom,
% 9.50/2.97 (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)).
% 9.50/2.97 thf(zip_derived_cl757, plain,
% 9.50/2.97 ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 9.50/2.97 thf(clsarity_Complex__Ocomplex__Int_Onumber__ring, axiom,
% 9.50/2.97 (class_Int_Onumber__ring @ tc_Complex_Ocomplex)).
% 9.50/2.97 thf(zip_derived_cl762, plain,
% 9.50/2.97 ( (class_Int_Onumber__ring @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__Int_Onumber__ring])).
% 9.50/2.97 thf(cls_class__fieldgb_Oinverse__divide_0, axiom,
% 9.50/2.97 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 9.50/2.97 ( ~( class_Int_Onumber__ring @ T_a ) ) |
% 9.50/2.97 ( ( c_HOL_Oinverse__class_Oinverse @ V_x @ T_a ) =
% 9.50/2.97 ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) @ V_x @ T_a ) ))).
% 9.50/2.97 thf(zip_derived_cl625, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 (~ (class_Ring__and__Field_Ofield @ X0)
% 9.50/2.97 | ~ (class_Int_Onumber__ring @ X0)
% 9.50/2.97 | ((c_HOL_Oinverse__class_Oinverse @ X1 @ X0)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ X0) @ X1 @ X0)))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_class__fieldgb_Oinverse__divide_0])).
% 9.50/2.97 thf(zip_derived_cl2826, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 (((c_HOL_Oinverse__class_Oinverse @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex))
% 9.50/2.97 | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl762, zip_derived_cl625])).
% 9.50/2.97 thf(zip_derived_cl4050, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 (((tc_Complex_Ocomplex) != (tc_Complex_Ocomplex))
% 9.50/2.97 | ((c_HOL_Oinverse__class_Oinverse @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex)))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl757, zip_derived_cl2826])).
% 9.50/2.97 thf(zip_derived_cl4463, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Oinverse @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex))),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl4050])).
% 9.50/2.97 thf(zip_derived_cl4463, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Oinverse @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex))),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl4050])).
% 9.50/2.97 thf(zip_derived_cl4860, plain,
% 9.50/2.97 (((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Ominus__class_Ominus @
% 9.50/2.97 (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Oinverse @ (c_FFT__Mirabelle_Oroot @ v_n) @
% 9.50/2.97 tc_Complex_Ocomplex) @
% 9.50/2.97 v_n @ tc_Complex_Ocomplex) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_HOL_Ominus__class_Ominus @
% 9.50/2.97 (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Oinverse @ (c_FFT__Mirabelle_Oroot @ v_n) @
% 9.50/2.97 tc_Complex_Ocomplex) @
% 9.50/2.97 v_k @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('demod', [status(thm)],
% 9.50/2.97 [zip_derived_cl673, zip_derived_cl4463, zip_derived_cl4463])).
% 9.50/2.97 thf(zip_derived_cl757, plain,
% 9.50/2.97 ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 9.50/2.97 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero, axiom,
% 9.50/2.97 (class_Ring__and__Field_Odivision__by__zero @ tc_Complex_Ocomplex)).
% 9.50/2.97 thf(zip_derived_cl742, plain,
% 9.50/2.97 ( (class_Ring__and__Field_Odivision__by__zero @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero])).
% 9.50/2.97 thf(cls_power__one__over_0, axiom,
% 9.50/2.97 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 9.50/2.97 ( ~( class_Ring__and__Field_Odivision__by__zero @ T_a ) ) |
% 9.50/2.97 ( ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) @
% 9.50/2.97 ( c_Power_Opower__class_Opower @ V_a @ V_n @ T_a ) @ T_a ) =
% 9.50/2.97 ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) @ V_a @ T_a ) @
% 9.50/2.97 V_n @ T_a ) ))).
% 9.50/2.97 thf(zip_derived_cl660, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.97 (~ (class_Ring__and__Field_Ofield @ X0)
% 9.50/2.97 | ~ (class_Ring__and__Field_Odivision__by__zero @ X0)
% 9.50/2.97 | ((c_HOL_Oinverse__class_Odivide @ (c_HOL_Oone__class_Oone @ X0) @
% 9.50/2.97 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @ X0)
% 9.50/2.97 = (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ X0) @ X1 @ X0) @
% 9.50/2.97 X2 @ X0)))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_power__one__over_0])).
% 9.50/2.97 thf(zip_derived_cl3790, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 (((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X1 @
% 9.50/2.97 tc_Complex_Ocomplex) @
% 9.50/2.97 X0 @ tc_Complex_Ocomplex))
% 9.50/2.97 | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl742, zip_derived_cl660])).
% 9.50/2.97 thf(zip_derived_cl4164, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 (((tc_Complex_Ocomplex) != (tc_Complex_Ocomplex))
% 9.50/2.97 | ((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X1 @
% 9.50/2.97 tc_Complex_Ocomplex) @
% 9.50/2.97 X0 @ tc_Complex_Ocomplex)))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl757, zip_derived_cl3790])).
% 9.50/2.97 thf(zip_derived_cl8500, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 9.50/2.97 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X1 @
% 9.50/2.97 tc_Complex_Ocomplex) @
% 9.50/2.97 X0 @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl4164])).
% 9.50/2.97 thf(zip_derived_cl4463, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Oinverse @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex))),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl4050])).
% 9.50/2.97 thf(zip_derived_cl4463, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Oinverse @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex))),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl4050])).
% 9.50/2.97 thf(zip_derived_cl8501, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Oinverse @
% 9.50/2.97 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Oinverse @ X1 @ tc_Complex_Ocomplex) @
% 9.50/2.97 X0 @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('demod', [status(thm)],
% 9.50/2.97 [zip_derived_cl8500, zip_derived_cl4463, zip_derived_cl4463])).
% 9.50/2.97 thf(cls_root__unity_0, axiom,
% 9.50/2.97 (( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_FFT__Mirabelle_Oroot @ V_n ) @ V_n @ tc_Complex_Ocomplex ) =
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ))).
% 9.50/2.97 thf(zip_derived_cl651, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_Power_Opower__class_Opower @ (c_FFT__Mirabelle_Oroot @ X0) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_root__unity_0])).
% 9.50/2.97 thf(zip_derived_cl757, plain,
% 9.50/2.97 ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 9.50/2.97 thf(zip_derived_cl742, plain,
% 9.50/2.97 ( (class_Ring__and__Field_Odivision__by__zero @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero])).
% 9.50/2.97 thf(cls_inverse__eq__1__iff_1, axiom,
% 9.50/2.97 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 9.50/2.97 ( ~( class_Ring__and__Field_Odivision__by__zero @ T_a ) ) |
% 9.50/2.97 ( ( c_HOL_Oinverse__class_Oinverse @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) @ T_a ) =
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) ))).
% 9.50/2.97 thf(zip_derived_cl395, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 (~ (class_Ring__and__Field_Ofield @ X0)
% 9.50/2.97 | ~ (class_Ring__and__Field_Odivision__by__zero @ X0)
% 9.50/2.97 | ((c_HOL_Oinverse__class_Oinverse @ (c_HOL_Oone__class_Oone @ X0) @
% 9.50/2.97 X0) = (c_HOL_Oone__class_Oone @ X0)))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_inverse__eq__1__iff_1])).
% 9.50/2.97 thf(zip_derived_cl3766, plain,
% 9.50/2.97 ((((c_HOL_Oinverse__class_Oinverse @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex))
% 9.50/2.97 | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl742, zip_derived_cl395])).
% 9.50/2.97 thf(zip_derived_cl4092, plain,
% 9.50/2.97 ((((tc_Complex_Ocomplex) != (tc_Complex_Ocomplex))
% 9.50/2.97 | ((c_HOL_Oinverse__class_Oinverse @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex)))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl757, zip_derived_cl3766])).
% 9.50/2.97 thf(zip_derived_cl4390, plain,
% 9.50/2.97 (((c_HOL_Oinverse__class_Oinverse @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl4092])).
% 9.50/2.97 thf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult, axiom,
% 9.50/2.97 (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)).
% 9.50/2.97 thf(zip_derived_cl754, plain,
% 9.50/2.97 ( (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult])).
% 9.50/2.97 thf(cls_power__one_0, axiom,
% 9.50/2.97 (( ~( class_OrderedGroup_Omonoid__mult @ T_a ) ) |
% 9.50/2.97 ( ( c_Power_Opower__class_Opower @
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) @ V_n @ T_a ) =
% 9.50/2.97 ( c_HOL_Oone__class_Oone @ T_a ) ))).
% 9.50/2.97 thf(zip_derived_cl643, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 (~ (class_OrderedGroup_Omonoid__mult @ X0)
% 9.50/2.97 | ((c_Power_Opower__class_Opower @ (c_HOL_Oone__class_Oone @ X0) @
% 9.50/2.97 X1 @ X0) = (c_HOL_Oone__class_Oone @ X0)))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_power__one_0])).
% 9.50/2.97 thf(zip_derived_cl6936, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('s_sup-', [status(thm)], [zip_derived_cl754, zip_derived_cl643])).
% 9.50/2.97 thf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, axiom,
% 9.50/2.97 (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)).
% 9.50/2.97 thf(zip_derived_cl752, plain,
% 9.50/2.97 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 9.50/2.97 thf(cls_eq__iff__diff__eq__0_0, axiom,
% 9.50/2.97 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 9.50/2.97 ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) =
% 9.50/2.97 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 9.50/2.97 thf(zip_derived_cl655, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 9.50/2.97 | ((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ X0)
% 9.50/2.97 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_eq__iff__diff__eq__0_0])).
% 9.50/2.97 thf(zip_derived_cl2762, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl752, zip_derived_cl655])).
% 9.50/2.97 thf(zip_derived_cl8501, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Oinverse @
% 9.50/2.97 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_Power_Opower__class_Opower @
% 9.50/2.97 (c_HOL_Oinverse__class_Oinverse @ X1 @ tc_Complex_Ocomplex) @
% 9.50/2.97 X0 @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('demod', [status(thm)],
% 9.50/2.97 [zip_derived_cl8500, zip_derived_cl4463, zip_derived_cl4463])).
% 9.50/2.97 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field, axiom,
% 9.50/2.97 (class_RealVector_Oreal__normed__field @ tc_Complex_Ocomplex)).
% 9.50/2.97 thf(zip_derived_cl748, plain,
% 9.50/2.97 ( (class_RealVector_Oreal__normed__field @ tc_Complex_Ocomplex)),
% 9.50/2.97 inference('cnf', [status(esa)],
% 9.50/2.97 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field])).
% 9.50/2.97 thf(cls_divide_Ozero_0, axiom,
% 9.50/2.97 (( ~( class_RealVector_Oreal__normed__field @ T_a ) ) |
% 9.50/2.97 ( ( c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_y @ T_a ) =
% 9.50/2.97 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 9.50/2.97 thf(zip_derived_cl672, plain,
% 9.50/2.97 (![X0 : $i, X1 : $i]:
% 9.50/2.97 (~ (class_RealVector_Oreal__normed__field @ X0)
% 9.50/2.97 | ((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0)
% 9.50/2.97 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 9.50/2.97 inference('cnf', [status(esa)], [cls_divide_Ozero_0])).
% 9.50/2.97 thf(zip_derived_cl2796, plain,
% 9.50/2.97 (![X0 : $i]:
% 9.50/2.97 ((c_HOL_Oinverse__class_Odivide @
% 9.50/2.97 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 9.50/2.97 tc_Complex_Ocomplex)
% 9.50/2.97 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('dp-resolution', [status(thm)],
% 9.50/2.97 [zip_derived_cl748, zip_derived_cl672])).
% 9.50/2.97 thf(zip_derived_cl8502, plain,
% 9.50/2.97 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 9.50/2.97 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 9.50/2.97 inference('demod', [status(thm)],
% 9.50/2.97 [zip_derived_cl4860, zip_derived_cl8501, zip_derived_cl651,
% 9.50/2.97 zip_derived_cl4390, zip_derived_cl6936, zip_derived_cl2762,
% 9.50/2.97 zip_derived_cl8501, zip_derived_cl2796])).
% 9.50/2.97 thf(zip_derived_cl8503, plain, ($false),
% 9.50/2.97 inference('simplify', [status(thm)], [zip_derived_cl8502])).
% 9.50/2.97
% 9.50/2.97 % SZS output end Refutation
% 9.50/2.97
% 9.50/2.97
% 9.50/2.97 % Terminating...
% 10.15/3.15 % Runner terminated.
% 10.18/3.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------