TSTP Solution File: SWV633-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV633-1 : 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.TVv3Sp14LE true

% Computer : n016.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 : Fri Sep  1 00:11:37 EDT 2023

% Result   : Unsatisfiable 71.42s 10.82s
% Output   : Refutation 71.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem  : SWV633-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TVv3Sp14LE true
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue Aug 29 07:16:15 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.31  % Python version: Python 3.6.8
% 0.09/0.31  % Running in FO mode
% 0.42/0.56  % Total configuration time : 435
% 0.42/0.56  % Estimated wc time : 1092
% 0.42/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 71.42/10.82  % Solved by fo/fo3_bce.sh.
% 71.42/10.82  % BCE start: 1067
% 71.42/10.82  % BCE eliminated: 265
% 71.42/10.82  % PE start: 802
% 71.42/10.82  logic: eq
% 71.42/10.82  % PE eliminated: -120
% 71.42/10.82  % done 1548 iterations in 10.119s
% 71.42/10.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 71.42/10.82  % SZS output start Refutation
% 71.42/10.82  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 71.42/10.82  thf(c_Suc_type, type, c_Suc: $i > $i).
% 71.42/10.82  thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 71.42/10.82  thf(tc_nat_type, type, tc_nat: $i).
% 71.42/10.82  thf(v_j_type, type, v_j: $i).
% 71.42/10.82  thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes: 
% 71.42/10.82      $i > $i > $i > $i).
% 71.42/10.82  thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 71.42/10.82  thf(v_i_type, type, v_i: $i).
% 71.42/10.82  thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower: 
% 71.42/10.82      $i > $i > $i > $i).
% 71.42/10.82  thf(v_m_type, type, v_m: $i).
% 71.42/10.82  thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 71.42/10.82  thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 71.42/10.82  thf(class_OrderedGroup_Omonoid__mult_type, type, class_OrderedGroup_Omonoid__mult: 
% 71.42/10.82      $i > $o).
% 71.42/10.82  thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of: 
% 71.42/10.82      $i > $i > $i).
% 71.42/10.82  thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 71.42/10.82  thf(cls_conjecture_0, conjecture,
% 71.42/10.82    (( c_Power_Opower__class_Opower @
% 71.42/10.82       ( c_FFT__Mirabelle_Oroot @
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           v_m @ tc_nat ) ) @ 
% 71.42/10.82       ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82         v_i @ 
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           v_j @ tc_nat ) @ 
% 71.42/10.82         tc_nat ) @ 
% 71.42/10.82       tc_Complex_Ocomplex ) =
% 71.42/10.82     ( c_Power_Opower__class_Opower @
% 71.42/10.82       ( c_FFT__Mirabelle_Oroot @
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           v_m @ tc_nat ) ) @ 
% 71.42/10.82       ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82         ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82           ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat ) @ tc_nat ) @ 
% 71.42/10.82       tc_Complex_Ocomplex ))).
% 71.42/10.82  thf(zf_stmt_0, negated_conjecture,
% 71.42/10.82    (( c_Power_Opower__class_Opower @
% 71.42/10.82       ( c_FFT__Mirabelle_Oroot @
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           v_m @ tc_nat ) ) @ 
% 71.42/10.82       ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82         v_i @ 
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           v_j @ tc_nat ) @ 
% 71.42/10.82         tc_nat ) @ 
% 71.42/10.82       tc_Complex_Ocomplex ) !=
% 71.42/10.82     ( c_Power_Opower__class_Opower @
% 71.42/10.82       ( c_FFT__Mirabelle_Oroot @
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           v_m @ tc_nat ) ) @ 
% 71.42/10.82       ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82         ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82           ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat ) @ tc_nat ) @ 
% 71.42/10.82       tc_Complex_Ocomplex )),
% 71.42/10.82    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 71.42/10.82  thf(zip_derived_cl1066, plain,
% 71.42/10.82      (((c_Power_Opower__class_Opower @ 
% 71.42/10.82         (c_FFT__Mirabelle_Oroot @ 
% 71.42/10.82          (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82           (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82           v_m @ tc_nat)) @ 
% 71.42/10.82         (c_HOL_Otimes__class_Otimes @ v_i @ 
% 71.42/10.82          (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82           (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82           v_j @ tc_nat) @ 
% 71.42/10.82          tc_nat) @ 
% 71.42/10.82         tc_Complex_Ocomplex)
% 71.42/10.82         != (c_Power_Opower__class_Opower @ 
% 71.42/10.82             (c_FFT__Mirabelle_Oroot @ 
% 71.42/10.82              (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82               (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82               v_m @ tc_nat)) @ 
% 71.42/10.82             (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82              (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82              (c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat) @ tc_nat) @ 
% 71.42/10.82             tc_Complex_Ocomplex))),
% 71.42/10.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 71.42/10.82  thf(cls_numeral__2__eq__2_0, axiom,
% 71.42/10.82    (( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82       ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) =
% 71.42/10.82     ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ))).
% 71.42/10.82  thf(zip_derived_cl877, plain,
% 71.42/10.82      (((c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82         (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 71.42/10.82         = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 71.42/10.82  thf(zip_derived_cl877, plain,
% 71.42/10.82      (((c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82         (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 71.42/10.82         = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 71.42/10.82  thf(zip_derived_cl877, plain,
% 71.42/10.82      (((c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82         (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 71.42/10.82         = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 71.42/10.82  thf(zip_derived_cl877, plain,
% 71.42/10.82      (((c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82         (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 71.42/10.82         = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 71.42/10.82  thf(zip_derived_cl5135, plain,
% 71.42/10.82      (((c_Power_Opower__class_Opower @ 
% 71.42/10.82         (c_FFT__Mirabelle_Oroot @ 
% 71.42/10.82          (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82           (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ v_m @ 
% 71.42/10.82           tc_nat)) @ 
% 71.42/10.82         (c_HOL_Otimes__class_Otimes @ v_i @ 
% 71.42/10.82          (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82           (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ v_j @ 
% 71.42/10.82           tc_nat) @ 
% 71.42/10.82          tc_nat) @ 
% 71.42/10.82         tc_Complex_Ocomplex)
% 71.42/10.82         != (c_Power_Opower__class_Opower @ 
% 71.42/10.82             (c_FFT__Mirabelle_Oroot @ 
% 71.42/10.82              (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82               (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ v_m @ 
% 71.42/10.82               tc_nat)) @ 
% 71.42/10.82             (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82              (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ 
% 71.42/10.82              (c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat) @ tc_nat) @ 
% 71.42/10.82             tc_Complex_Ocomplex))),
% 71.42/10.82      inference('demod', [status(thm)],
% 71.42/10.82                [zip_derived_cl1066, zip_derived_cl877, zip_derived_cl877, 
% 71.42/10.82                 zip_derived_cl877, zip_derived_cl877])).
% 71.42/10.82  thf(cls_nat__mult__commute_0, axiom,
% 71.42/10.82    (( c_HOL_Otimes__class_Otimes @ V_m @ V_n @ tc_nat ) =
% 71.42/10.82     ( c_HOL_Otimes__class_Otimes @ V_n @ V_m @ tc_nat ))).
% 71.42/10.82  thf(zip_derived_cl1030, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i]:
% 71.42/10.82         ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat)
% 71.42/10.82           = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_nat))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_nat__mult__commute_0])).
% 71.42/10.82  thf(zip_derived_cl1030, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i]:
% 71.42/10.82         ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat)
% 71.42/10.82           = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_nat))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_nat__mult__commute_0])).
% 71.42/10.82  thf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult, axiom,
% 71.42/10.82    (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)).
% 71.42/10.82  thf(zip_derived_cl1059, plain,
% 71.42/10.82      ( (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)),
% 71.42/10.82      inference('cnf', [status(esa)],
% 71.42/10.82                [clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult])).
% 71.42/10.82  thf(cls_power__mult_0, axiom,
% 71.42/10.82    (( ~( class_OrderedGroup_Omonoid__mult @ T_a ) ) | 
% 71.42/10.82     ( ( c_Power_Opower__class_Opower @
% 71.42/10.82         V_a @ ( c_HOL_Otimes__class_Otimes @ V_m @ V_n @ tc_nat ) @ T_a ) =
% 71.42/10.82       ( c_Power_Opower__class_Opower @
% 71.42/10.82         ( c_Power_Opower__class_Opower @ V_a @ V_m @ T_a ) @ V_n @ T_a ) ))).
% 71.42/10.82  thf(zip_derived_cl1001, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 71.42/10.82         (~ (class_OrderedGroup_Omonoid__mult @ X0)
% 71.42/10.82          | ((c_Power_Opower__class_Opower @ X1 @ 
% 71.42/10.82              (c_HOL_Otimes__class_Otimes @ X2 @ X3 @ tc_nat) @ X0)
% 71.42/10.82              = (c_Power_Opower__class_Opower @ 
% 71.42/10.82                 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_power__mult_0])).
% 71.42/10.82  thf(zip_derived_cl3074, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.82         ((c_Power_Opower__class_Opower @ X2 @ 
% 71.42/10.82           (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat) @ 
% 71.42/10.82           tc_Complex_Ocomplex)
% 71.42/10.82           = (c_Power_Opower__class_Opower @ 
% 71.42/10.82              (c_Power_Opower__class_Opower @ X2 @ X1 @ tc_Complex_Ocomplex) @ 
% 71.42/10.82              X0 @ tc_Complex_Ocomplex))),
% 71.42/10.82      inference('dp-resolution', [status(thm)],
% 71.42/10.82                [zip_derived_cl1059, zip_derived_cl1001])).
% 71.42/10.82  thf(zip_derived_cl3074, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.82         ((c_Power_Opower__class_Opower @ X2 @ 
% 71.42/10.82           (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat) @ 
% 71.42/10.82           tc_Complex_Ocomplex)
% 71.42/10.82           = (c_Power_Opower__class_Opower @ 
% 71.42/10.82              (c_Power_Opower__class_Opower @ X2 @ X1 @ tc_Complex_Ocomplex) @ 
% 71.42/10.82              X0 @ tc_Complex_Ocomplex))),
% 71.42/10.82      inference('dp-resolution', [status(thm)],
% 71.42/10.82                [zip_derived_cl1059, zip_derived_cl1001])).
% 71.42/10.82  thf(zip_derived_cl1030, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i]:
% 71.42/10.82         ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat)
% 71.42/10.82           = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_nat))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_nat__mult__commute_0])).
% 71.42/10.82  thf(zip_derived_cl1059, plain,
% 71.42/10.82      ( (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)),
% 71.42/10.82      inference('cnf', [status(esa)],
% 71.42/10.82                [clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult])).
% 71.42/10.82  thf(cls_power__even__eq_0, axiom,
% 71.42/10.82    (( ~( class_OrderedGroup_Omonoid__mult @ T_a ) ) | 
% 71.42/10.82     ( ( c_Power_Opower__class_Opower @
% 71.42/10.82         V_a @ 
% 71.42/10.82         ( c_HOL_Otimes__class_Otimes @
% 71.42/10.82           ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82           V_n @ tc_nat ) @ 
% 71.42/10.82         T_a ) =
% 71.42/10.82       ( c_Power_Opower__class_Opower @
% 71.42/10.82         ( c_Power_Opower__class_Opower @ V_a @ V_n @ T_a ) @ 
% 71.42/10.82         ( c_Int_Onumber__class_Onumber__of @
% 71.42/10.82           ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @ 
% 71.42/10.82         T_a ) ))).
% 71.42/10.82  thf(zip_derived_cl1010, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.82         (~ (class_OrderedGroup_Omonoid__mult @ X0)
% 71.42/10.82          | ((c_Power_Opower__class_Opower @ X1 @ 
% 71.42/10.82              (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82               (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82                (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82               X2 @ tc_nat) @ 
% 71.42/10.82              X0)
% 71.42/10.82              = (c_Power_Opower__class_Opower @ 
% 71.42/10.82                 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @ 
% 71.42/10.82                 (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82                  (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82                 X0)))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_power__even__eq_0])).
% 71.42/10.82  thf(zip_derived_cl3077, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i]:
% 71.42/10.82         ((c_Power_Opower__class_Opower @ X1 @ 
% 71.42/10.82           (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82            (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82             (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82            X0 @ tc_nat) @ 
% 71.42/10.82           tc_Complex_Ocomplex)
% 71.42/10.82           = (c_Power_Opower__class_Opower @ 
% 71.42/10.82              (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @ 
% 71.42/10.82              (c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82               (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @ 
% 71.42/10.82              tc_Complex_Ocomplex))),
% 71.42/10.82      inference('dp-resolution', [status(thm)],
% 71.42/10.82                [zip_derived_cl1059, zip_derived_cl1010])).
% 71.42/10.82  thf(zip_derived_cl877, plain,
% 71.42/10.82      (((c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82         (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 71.42/10.82         = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 71.42/10.82  thf(zip_derived_cl877, plain,
% 71.42/10.82      (((c_Int_Onumber__class_Onumber__of @ 
% 71.42/10.82         (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 71.42/10.82         = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 71.42/10.82      inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 71.42/10.82  thf(zip_derived_cl25987, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i]:
% 71.42/10.82         ((c_Power_Opower__class_Opower @ X1 @ 
% 71.42/10.82           (c_HOL_Otimes__class_Otimes @ 
% 71.42/10.82            (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ X0 @ 
% 71.42/10.82            tc_nat) @ 
% 71.42/10.82           tc_Complex_Ocomplex)
% 71.42/10.82           = (c_Power_Opower__class_Opower @ 
% 71.42/10.82              (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @ 
% 71.42/10.82              (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ 
% 71.42/10.82              tc_Complex_Ocomplex))),
% 71.42/10.82      inference('demod', [status(thm)],
% 71.42/10.82                [zip_derived_cl3077, zip_derived_cl877, zip_derived_cl877])).
% 71.42/10.82  thf(zip_derived_cl3074, plain,
% 71.42/10.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.82         ((c_Power_Opower__class_Opower @ X2 @ 
% 71.42/10.82           (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat) @ 
% 71.42/10.82           tc_Complex_Ocomplex)
% 71.42/10.82           = (c_Power_Opower__class_Opower @ 
% 71.42/10.82              (c_Power_Opower__class_Opower @ X2 @ X1 @ tc_Complex_Ocomplex) @ 
% 71.42/10.82              X0 @ tc_Complex_Ocomplex))),
% 71.42/10.82      inference('dp-resolution', [status(thm)],
% 71.42/10.82                [zip_derived_cl1059, zip_derived_cl1001])).
% 71.42/10.82  thf(zip_derived_cl48628, plain,
% 71.42/10.82      (((c_Power_Opower__class_Opower @ 
% 71.42/10.82         (c_Power_Opower__class_Opower @ 
% 71.42/10.82          (c_Power_Opower__class_Opower @ 
% 71.42/10.82           (c_FFT__Mirabelle_Oroot @ 
% 71.42/10.82            (c_HOL_Otimes__class_Otimes @ v_m @ 
% 71.42/10.82             (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ tc_nat)) @ 
% 71.42/10.82           v_i @ tc_Complex_Ocomplex) @ 
% 71.42/10.82          v_j @ tc_Complex_Ocomplex) @ 
% 71.42/10.82         (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ 
% 71.42/10.82         tc_Complex_Ocomplex)
% 71.42/10.82         != (c_Power_Opower__class_Opower @ 
% 71.42/10.82             (c_Power_Opower__class_Opower @ 
% 71.42/10.82              (c_Power_Opower__class_Opower @ 
% 71.42/10.82               (c_FFT__Mirabelle_Oroot @ 
% 71.42/10.82                (c_HOL_Otimes__class_Otimes @ v_m @ 
% 71.42/10.82                 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ 
% 71.42/10.82                 tc_nat)) @ 
% 71.42/10.82               v_i @ tc_Complex_Ocomplex) @ 
% 71.42/10.82              v_j @ tc_Complex_Ocomplex) @ 
% 71.42/10.82             (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ 
% 71.42/10.82             tc_Complex_Ocomplex))),
% 71.42/10.82      inference('demod', [status(thm)],
% 71.42/10.82                [zip_derived_cl5135, zip_derived_cl1030, zip_derived_cl1030, 
% 71.42/10.82                 zip_derived_cl3074, zip_derived_cl3074, zip_derived_cl1030, 
% 71.42/10.82                 zip_derived_cl25987, zip_derived_cl3074])).
% 71.42/10.82  thf(zip_derived_cl48629, plain, ($false),
% 71.42/10.82      inference('simplify', [status(thm)], [zip_derived_cl48628])).
% 71.42/10.82  
% 71.42/10.82  % SZS output end Refutation
% 71.42/10.82  
% 71.42/10.82  
% 71.42/10.82  % Terminating...
% 72.36/10.91  % Runner terminated.
% 72.36/10.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------