%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV633-1 : 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.zx2EkUbRfb true
% Computer : n013.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 05:01:46 PM UTC 2025
% Result : Unsatisfiable 52.80s 8.18s
% Output : Refutation 52.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWV633-1 : TPTP v9.2.0. Released v4.1.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zx2EkUbRfb true
% 0.12/0.35 % Computer : n013.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 12:42:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.57/0.71 % Total configuration time : 435
% 0.57/0.71 % Estimated wc time : 1092
% 0.57/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 52.80/8.18 % Solved by fo/fo3_bce.sh.
% 52.80/8.18 % BCE start: 1067
% 52.80/8.18 % BCE eliminated: 265
% 52.80/8.18 % PE start: 802
% 52.80/8.18 logic: eq
% 52.80/8.18 % PE eliminated: -120
% 52.80/8.18 % done 1548 iterations in 7.361s
% 52.80/8.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 52.80/8.18 % SZS output start Refutation
% 52.80/8.18 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 52.80/8.18 thf(c_Suc_type, type, c_Suc: $i > $i).
% 52.80/8.18 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 52.80/8.18 thf(tc_nat_type, type, tc_nat: $i).
% 52.80/8.18 thf(v_j_type, type, v_j: $i).
% 52.80/8.18 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 52.80/8.18 $i > $i > $i > $i).
% 52.80/8.18 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 52.80/8.18 thf(v_i_type, type, v_i: $i).
% 52.80/8.18 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 52.80/8.18 $i > $i > $i > $i).
% 52.80/8.18 thf(v_m_type, type, v_m: $i).
% 52.80/8.18 thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 52.80/8.18 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 52.80/8.18 thf(class_OrderedGroup_Omonoid__mult_type, type, class_OrderedGroup_Omonoid__mult:
% 52.80/8.18 $i > $o).
% 52.80/8.18 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 52.80/8.18 $i > $i > $i).
% 52.80/8.18 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 52.80/8.18 thf(cls_conjecture_0, conjecture,
% 52.80/8.18 (( c_Power_Opower__class_Opower @
% 52.80/8.18 ( c_FFT__Mirabelle_Oroot @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 v_m @ tc_nat ) ) @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 v_i @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 v_j @ tc_nat ) @
% 52.80/8.18 tc_nat ) @
% 52.80/8.18 tc_Complex_Ocomplex ) =
% 52.80/8.18 ( c_Power_Opower__class_Opower @
% 52.80/8.18 ( c_FFT__Mirabelle_Oroot @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 v_m @ tc_nat ) ) @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat ) @ tc_nat ) @
% 52.80/8.18 tc_Complex_Ocomplex ))).
% 52.80/8.18 thf(zf_stmt_0, negated_conjecture,
% 52.80/8.18 (( c_Power_Opower__class_Opower @
% 52.80/8.18 ( c_FFT__Mirabelle_Oroot @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 v_m @ tc_nat ) ) @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 v_i @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 v_j @ tc_nat ) @
% 52.80/8.18 tc_nat ) @
% 52.80/8.18 tc_Complex_Ocomplex ) !=
% 52.80/8.18 ( c_Power_Opower__class_Opower @
% 52.80/8.18 ( c_FFT__Mirabelle_Oroot @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 v_m @ tc_nat ) ) @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat ) @ tc_nat ) @
% 52.80/8.18 tc_Complex_Ocomplex )),
% 52.80/8.18 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 52.80/8.18 thf(zip_derived_cl1066, plain,
% 52.80/8.18 (((c_Power_Opower__class_Opower @
% 52.80/8.18 (c_FFT__Mirabelle_Oroot @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 v_m @ tc_nat)) @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ v_i @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 v_j @ tc_nat) @
% 52.80/8.18 tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 != (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_FFT__Mirabelle_Oroot @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 v_m @ tc_nat)) @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat) @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex))),
% 52.80/8.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 52.80/8.18 thf(cls_numeral__2__eq__2_0, axiom,
% 52.80/8.18 (( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) =
% 52.80/8.18 ( c_Suc @ ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ))).
% 52.80/8.18 thf(zip_derived_cl877, plain,
% 52.80/8.18 (((c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 52.80/8.18 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 52.80/8.18 thf(zip_derived_cl877, plain,
% 52.80/8.18 (((c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 52.80/8.18 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 52.80/8.18 thf(zip_derived_cl877, plain,
% 52.80/8.18 (((c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 52.80/8.18 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 52.80/8.18 thf(zip_derived_cl877, plain,
% 52.80/8.18 (((c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 52.80/8.18 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 52.80/8.18 thf(zip_derived_cl5135, plain,
% 52.80/8.18 (((c_Power_Opower__class_Opower @
% 52.80/8.18 (c_FFT__Mirabelle_Oroot @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ v_m @
% 52.80/8.18 tc_nat)) @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ v_i @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ v_j @
% 52.80/8.18 tc_nat) @
% 52.80/8.18 tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 != (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_FFT__Mirabelle_Oroot @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ v_m @
% 52.80/8.18 tc_nat)) @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ v_i @ v_j @ tc_nat) @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex))),
% 52.80/8.18 inference('demod', [status(thm)],
% 52.80/8.18 [zip_derived_cl1066, zip_derived_cl877, zip_derived_cl877,
% 52.80/8.18 zip_derived_cl877, zip_derived_cl877])).
% 52.80/8.18 thf(cls_nat__mult__commute_0, axiom,
% 52.80/8.18 (( c_HOL_Otimes__class_Otimes @ V_m @ V_n @ tc_nat ) =
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @ V_n @ V_m @ tc_nat ))).
% 52.80/8.18 thf(zip_derived_cl1030, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i]:
% 52.80/8.18 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat)
% 52.80/8.18 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_nat))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_nat__mult__commute_0])).
% 52.80/8.18 thf(zip_derived_cl1030, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i]:
% 52.80/8.18 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat)
% 52.80/8.18 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_nat))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_nat__mult__commute_0])).
% 52.80/8.18 thf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult, axiom,
% 52.80/8.18 (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)).
% 52.80/8.18 thf(zip_derived_cl1059, plain,
% 52.80/8.18 ( (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)),
% 52.80/8.18 inference('cnf', [status(esa)],
% 52.80/8.18 [clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult])).
% 52.80/8.18 thf(cls_power__mult_0, axiom,
% 52.80/8.18 (( ~( class_OrderedGroup_Omonoid__mult @ T_a ) ) |
% 52.80/8.18 ( ( c_Power_Opower__class_Opower @
% 52.80/8.18 V_a @ ( c_HOL_Otimes__class_Otimes @ V_m @ V_n @ tc_nat ) @ T_a ) =
% 52.80/8.18 ( c_Power_Opower__class_Opower @
% 52.80/8.18 ( c_Power_Opower__class_Opower @ V_a @ V_m @ T_a ) @ V_n @ T_a ) ))).
% 52.80/8.18 thf(zip_derived_cl1001, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.80/8.18 (~ (class_OrderedGroup_Omonoid__mult @ X0)
% 52.80/8.18 | ((c_Power_Opower__class_Opower @ X1 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ X2 @ X3 @ tc_nat) @ X0)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_power__mult_0])).
% 52.80/8.18 thf(zip_derived_cl3074, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.80/8.18 ((c_Power_Opower__class_Opower @ X2 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X2 @ X1 @ tc_Complex_Ocomplex) @
% 52.80/8.18 X0 @ tc_Complex_Ocomplex))),
% 52.80/8.18 inference('dp-resolution', [status(thm)],
% 52.80/8.18 [zip_derived_cl1059, zip_derived_cl1001])).
% 52.80/8.18 thf(zip_derived_cl3074, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.80/8.18 ((c_Power_Opower__class_Opower @ X2 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X2 @ X1 @ tc_Complex_Ocomplex) @
% 52.80/8.18 X0 @ tc_Complex_Ocomplex))),
% 52.80/8.18 inference('dp-resolution', [status(thm)],
% 52.80/8.18 [zip_derived_cl1059, zip_derived_cl1001])).
% 52.80/8.18 thf(zip_derived_cl1030, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i]:
% 52.80/8.18 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat)
% 52.80/8.18 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_nat))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_nat__mult__commute_0])).
% 52.80/8.18 thf(zip_derived_cl1059, plain,
% 52.80/8.18 ( (class_OrderedGroup_Omonoid__mult @ tc_Complex_Ocomplex)),
% 52.80/8.18 inference('cnf', [status(esa)],
% 52.80/8.18 [clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult])).
% 52.80/8.18 thf(cls_power__even__eq_0, axiom,
% 52.80/8.18 (( ~( class_OrderedGroup_Omonoid__mult @ T_a ) ) |
% 52.80/8.18 ( ( c_Power_Opower__class_Opower @
% 52.80/8.18 V_a @
% 52.80/8.18 ( c_HOL_Otimes__class_Otimes @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 V_n @ tc_nat ) @
% 52.80/8.18 T_a ) =
% 52.80/8.18 ( c_Power_Opower__class_Opower @
% 52.80/8.18 ( c_Power_Opower__class_Opower @ V_a @ V_n @ T_a ) @
% 52.80/8.18 ( c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_nat ) @
% 52.80/8.18 T_a ) ))).
% 52.80/8.18 thf(zip_derived_cl1010, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.80/8.18 (~ (class_OrderedGroup_Omonoid__mult @ X0)
% 52.80/8.18 | ((c_Power_Opower__class_Opower @ X1 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 X2 @ tc_nat) @
% 52.80/8.18 X0)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 X0)))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_power__even__eq_0])).
% 52.80/8.18 thf(zip_derived_cl3077, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i]:
% 52.80/8.18 ((c_Power_Opower__class_Opower @ X1 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 X0 @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 52.80/8.18 (c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex))),
% 52.80/8.18 inference('dp-resolution', [status(thm)],
% 52.80/8.18 [zip_derived_cl1059, zip_derived_cl1010])).
% 52.80/8.18 thf(zip_derived_cl877, plain,
% 52.80/8.18 (((c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 52.80/8.18 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 52.80/8.18 thf(zip_derived_cl877, plain,
% 52.80/8.18 (((c_Int_Onumber__class_Onumber__of @
% 52.80/8.18 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_nat)
% 52.80/8.18 = (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 52.80/8.18 inference('cnf', [status(esa)], [cls_numeral__2__eq__2_0])).
% 52.80/8.18 thf(zip_derived_cl25987, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i]:
% 52.80/8.18 ((c_Power_Opower__class_Opower @ X1 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ X0 @
% 52.80/8.18 tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 52.80/8.18 tc_Complex_Ocomplex))),
% 52.80/8.18 inference('demod', [status(thm)],
% 52.80/8.18 [zip_derived_cl3077, zip_derived_cl877, zip_derived_cl877])).
% 52.80/8.18 thf(zip_derived_cl3074, plain,
% 52.80/8.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.80/8.18 ((c_Power_Opower__class_Opower @ X2 @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_nat) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 = (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @ X2 @ X1 @ tc_Complex_Ocomplex) @
% 52.80/8.18 X0 @ tc_Complex_Ocomplex))),
% 52.80/8.18 inference('dp-resolution', [status(thm)],
% 52.80/8.18 [zip_derived_cl1059, zip_derived_cl1001])).
% 52.80/8.18 thf(zip_derived_cl48628, plain,
% 52.80/8.18 (((c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_FFT__Mirabelle_Oroot @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ v_m @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @ tc_nat)) @
% 52.80/8.18 v_i @ tc_Complex_Ocomplex) @
% 52.80/8.18 v_j @ tc_Complex_Ocomplex) @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 52.80/8.18 tc_Complex_Ocomplex)
% 52.80/8.18 != (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_Power_Opower__class_Opower @
% 52.80/8.18 (c_FFT__Mirabelle_Oroot @
% 52.80/8.18 (c_HOL_Otimes__class_Otimes @ v_m @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 52.80/8.18 tc_nat)) @
% 52.80/8.18 v_i @ tc_Complex_Ocomplex) @
% 52.80/8.18 v_j @ tc_Complex_Ocomplex) @
% 52.80/8.18 (c_Suc @ (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 52.80/8.18 tc_Complex_Ocomplex))),
% 52.80/8.18 inference('demod', [status(thm)],
% 52.80/8.18 [zip_derived_cl5135, zip_derived_cl1030, zip_derived_cl1030,
% 52.80/8.18 zip_derived_cl3074, zip_derived_cl3074, zip_derived_cl1030,
% 52.80/8.18 zip_derived_cl25987, zip_derived_cl3074])).
% 52.80/8.18 thf(zip_derived_cl48629, plain, ($false),
% 52.80/8.18 inference('simplify', [status(thm)], [zip_derived_cl48628])).
% 52.80/8.18
% 52.80/8.18 % SZS output end Refutation
% 52.80/8.18
% 52.80/8.18
% 52.80/8.18 % Terminating...
% 52.80/8.25 % Runner terminated.
% 52.80/8.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------