TSTP Solution File: ALG359-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG359-1 : 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.nD9A78sEG3 true
% Computer : n006.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 17:12:55 EDT 2023
% Result : Unsatisfiable 13.79s 2.63s
% Output : Refutation 13.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG359-1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nD9A78sEG3 true
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 03:31:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.79/2.63 % Solved by fo/fo3_bce.sh.
% 13.79/2.63 % BCE start: 541
% 13.79/2.63 % BCE eliminated: 55
% 13.79/2.63 % PE start: 486
% 13.79/2.63 logic: eq
% 13.79/2.63 % PE eliminated: -76
% 13.79/2.63 % done 943 iterations in 1.868s
% 13.79/2.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.79/2.63 % SZS output start Refutation
% 13.79/2.63 thf(c_HOL_Oinverse__class_Oinverse_type, type, c_HOL_Oinverse__class_Oinverse:
% 13.79/2.63 $i > $i > $i).
% 13.79/2.63 thf(class_RealVector_Oreal__normed__field_type, type, class_RealVector_Oreal__normed__field:
% 13.79/2.63 $i > $o).
% 13.79/2.63 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 13.79/2.63 $i > $i > $i).
% 13.79/2.63 thf(c_Ring__and__Field_Odvd__class_Odvd_type, type, c_Ring__and__Field_Odvd__class_Odvd:
% 13.79/2.63 $i > $i > $i > $o).
% 13.79/2.63 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 13.79/2.63 $i > $o).
% 13.79/2.63 thf(c_Complex_ORe_type, type, c_Complex_ORe: $i > $i).
% 13.79/2.63 thf(tc_nat_type, type, tc_nat: $i).
% 13.79/2.63 thf(class_RealVector_Oreal__algebra__1_type, type, class_RealVector_Oreal__algebra__1:
% 13.79/2.63 $i > $o).
% 13.79/2.63 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 13.79/2.63 thf(c_Complex_Ocnj_type, type, c_Complex_Ocnj: $i > $i).
% 13.79/2.63 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 13.79/2.63 thf(c_Parity_Oeven__odd__class_Oeven_type, type, c_Parity_Oeven__odd__class_Oeven:
% 13.79/2.63 $i > $i > $o).
% 13.79/2.63 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 13.79/2.63 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 13.79/2.63 thf(c_HOL_Osgn__class_Osgn_type, type, c_HOL_Osgn__class_Osgn: $i > $i > $i).
% 13.79/2.63 thf(v_v_____type, type, v_v____: $i).
% 13.79/2.63 thf(c_NthRoot_Oroot_type, type, c_NthRoot_Oroot: $i > $i > $i).
% 13.79/2.63 thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1:
% 13.79/2.63 $i > $o).
% 13.79/2.63 thf(class_Ring__and__Field_Odivision__by__zero_type, type, class_Ring__and__Field_Odivision__by__zero:
% 13.79/2.63 $i > $o).
% 13.79/2.63 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 13.79/2.63 $i > $i > $i > $i).
% 13.79/2.63 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 13.79/2.63 $i > $i > $i > $i).
% 13.79/2.63 thf(c_RealVector_Oof__real_type, type, c_RealVector_Oof__real: $i > $i > $i).
% 13.79/2.63 thf(class_RealVector_Oreal__normed__vector_type, type, class_RealVector_Oreal__normed__vector:
% 13.79/2.63 $i > $o).
% 13.79/2.63 thf(v_na_____type, type, v_na____: $i).
% 13.79/2.63 thf(v_b_type, type, v_b: $i).
% 13.79/2.63 thf(cls_inverse__divide_0, axiom,
% 13.79/2.63 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 13.79/2.63 ( ~( class_Ring__and__Field_Odivision__by__zero @ T_a ) ) |
% 13.79/2.63 ( ( c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @ V_a @ V_b @ T_a ) @ T_a ) =
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @ V_b @ V_a @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl489, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ofield @ X0)
% 13.79/2.63 | ~ (class_Ring__and__Field_Odivision__by__zero @ X0)
% 13.79/2.63 | ((c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @ X2 @ X1 @ X0) @ X0)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @ X1 @ X2 @ X0)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_inverse__divide_0])).
% 13.79/2.63 thf(cls_th0_0, axiom,
% 13.79/2.63 (( c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) =
% 13.79/2.63 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 13.79/2.63 thf(zip_derived_cl488, plain,
% 13.79/2.63 (((c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_th0_0])).
% 13.79/2.63 thf(cls_sgn__eq_0, axiom,
% 13.79/2.63 (( c_HOL_Osgn__class_Osgn @ V_z @ tc_Complex_Ocomplex ) =
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 V_z @
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ V_z @ tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ))).
% 13.79/2.63 thf(zip_derived_cl513, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ((c_HOL_Osgn__class_Osgn @ X0 @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @ X0 @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_sgn__eq_0])).
% 13.79/2.63 thf(zip_derived_cl7037, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl488, zip_derived_cl513])).
% 13.79/2.63 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1, axiom,
% 13.79/2.63 (class_RealVector_Oreal__algebra__1 @ tc_Complex_Ocomplex)).
% 13.79/2.63 thf(zip_derived_cl537, plain,
% 13.79/2.63 ( (class_RealVector_Oreal__algebra__1 @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1])).
% 13.79/2.63 thf(cls_of__real__1_0, axiom,
% 13.79/2.63 (( ~( class_RealVector_Oreal__algebra__1 @ T_a ) ) |
% 13.79/2.63 ( ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ T_a ) =
% 13.79/2.63 ( c_HOL_Oone__class_Oone @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl102, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (~ (class_RealVector_Oreal__algebra__1 @ X0)
% 13.79/2.63 | ((c_RealVector_Oof__real @
% 13.79/2.63 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ X0)
% 13.79/2.63 = (c_HOL_Oone__class_Oone @ X0)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_of__real__1_0])).
% 13.79/2.63 thf(zip_derived_cl2823, plain,
% 13.79/2.63 (((c_RealVector_Oof__real @
% 13.79/2.63 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('dp-resolution', [status(thm)],
% 13.79/2.63 [zip_derived_cl537, zip_derived_cl102])).
% 13.79/2.63 thf(zip_derived_cl7043, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 (c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl7037, zip_derived_cl2823])).
% 13.79/2.63 thf(cls_divide__1_0, axiom,
% 13.79/2.63 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 13.79/2.63 ( ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 V_a @ ( c_HOL_Oone__class_Oone @ T_a ) @ T_a ) =
% 13.79/2.63 ( V_a ) ))).
% 13.79/2.63 thf(zip_derived_cl481, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ofield @ X0)
% 13.79/2.63 | ((c_HOL_Oinverse__class_Odivide @ X1 @
% 13.79/2.63 (c_HOL_Oone__class_Oone @ X0) @ X0) = (X1)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_divide__1_0])).
% 13.79/2.63 thf(zip_derived_cl7056, plain,
% 13.79/2.63 ((((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex))
% 13.79/2.63 | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl7043, zip_derived_cl481])).
% 13.79/2.63 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield, axiom,
% 13.79/2.63 (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)).
% 13.79/2.63 thf(zip_derived_cl539, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 13.79/2.63 thf(zip_derived_cl7068, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)], [zip_derived_cl7056, zip_derived_cl539])).
% 13.79/2.63 thf(zip_derived_cl13438, plain,
% 13.79/2.63 ((((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @ v_b @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex))
% 13.79/2.63 | ~ (class_Ring__and__Field_Odivision__by__zero @ tc_Complex_Ocomplex)
% 13.79/2.63 | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl489, zip_derived_cl7068])).
% 13.79/2.63 thf(zip_derived_cl513, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ((c_HOL_Osgn__class_Osgn @ X0 @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @ X0 @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_sgn__eq_0])).
% 13.79/2.63 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero, axiom,
% 13.79/2.63 (class_Ring__and__Field_Odivision__by__zero @ tc_Complex_Ocomplex)).
% 13.79/2.63 thf(zip_derived_cl532, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Odivision__by__zero @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero])).
% 13.79/2.63 thf(zip_derived_cl539, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 13.79/2.63 thf(zip_derived_cl13575, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 (c_HOL_Osgn__class_Osgn @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl13438, zip_derived_cl513, zip_derived_cl532,
% 13.79/2.63 zip_derived_cl539])).
% 13.79/2.63 thf(cls_dvd__0__left_0, axiom,
% 13.79/2.63 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 13.79/2.63 ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 13.79/2.63 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_a @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl180, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 13.79/2.63 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0))
% 13.79/2.63 | ~ (c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_dvd__0__left_0])).
% 13.79/2.63 thf(cls_dvd__0__right_0, axiom,
% 13.79/2.63 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 13.79/2.63 ( c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ))).
% 13.79/2.63 thf(zip_derived_cl310, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 13.79/2.63 | (c_Ring__and__Field_Odvd__class_Odvd @ X1 @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ X0) @ X0))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_dvd__0__right_0])).
% 13.79/2.63 thf(cls_odd__real__root__pow_0, axiom,
% 13.79/2.63 (( ( c_Power_Opower__class_Opower @
% 13.79/2.63 ( c_NthRoot_Oroot @ V_n @ V_x ) @ V_n @ tc_RealDef_Oreal ) =
% 13.79/2.63 ( V_x ) ) |
% 13.79/2.63 ( c_Parity_Oeven__odd__class_Oeven @ V_n @ tc_nat ))).
% 13.79/2.63 thf(zip_derived_cl415, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i]:
% 13.79/2.63 (((c_Power_Opower__class_Opower @ (c_NthRoot_Oroot @ X1 @ X0) @ X1 @
% 13.79/2.63 tc_RealDef_Oreal) = (X0))
% 13.79/2.63 | (c_Parity_Oeven__odd__class_Oeven @ X1 @ tc_nat))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_odd__real__root__pow_0])).
% 13.79/2.63 thf(cls_CHAINED_0, axiom,
% 13.79/2.63 (( c_Power_Opower__class_Opower @
% 13.79/2.63 ( c_NthRoot_Oroot @
% 13.79/2.63 v_na____ @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ) ) @
% 13.79/2.63 v_na____ @ tc_RealDef_Oreal ) =
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ))).
% 13.79/2.63 thf(zip_derived_cl519, plain,
% 13.79/2.63 (((c_Power_Opower__class_Opower @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 v_na____ @ tc_RealDef_Oreal)
% 13.79/2.63 = (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 13.79/2.63 thf(cls_nonzero__power__divide_0, axiom,
% 13.79/2.63 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 13.79/2.63 ( ( c_Power_Opower__class_Opower @
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @ V_a @ V_b @ T_a ) @ V_n @ T_a ) =
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 ( c_Power_Opower__class_Opower @ V_a @ V_n @ T_a ) @
% 13.79/2.63 ( c_Power_Opower__class_Opower @ V_b @ V_n @ T_a ) @ T_a ) ) |
% 13.79/2.63 ( ( V_b ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl473, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ofield @ X0)
% 13.79/2.63 | ((c_Power_Opower__class_Opower @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @ X1 @ X3 @ X0) @ X2 @ X0)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X3 @ X2 @ X0) @ X0))
% 13.79/2.63 | ((X3) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_nonzero__power__divide_0])).
% 13.79/2.63 thf(cls_conjecture_0, conjecture,
% 13.79/2.63 (( c_Power_Opower__class_Opower @
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 v_v____ @
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_NthRoot_Oroot @
% 13.79/2.63 v_na____ @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ) ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 v_na____ @ tc_Complex_Ocomplex ) =
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 ( c_Power_Opower__class_Opower @
% 13.79/2.63 v_v____ @ v_na____ @ tc_Complex_Ocomplex ) @
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ))).
% 13.79/2.63 thf(zf_stmt_0, negated_conjecture,
% 13.79/2.63 (( c_Power_Opower__class_Opower @
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 v_v____ @
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_NthRoot_Oroot @
% 13.79/2.63 v_na____ @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ) ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 v_na____ @ tc_Complex_Ocomplex ) !=
% 13.79/2.63 ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 ( c_Power_Opower__class_Opower @
% 13.79/2.63 v_v____ @ v_na____ @ tc_Complex_Ocomplex ) @
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex ) @
% 13.79/2.63 tc_Complex_Ocomplex )),
% 13.79/2.63 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 13.79/2.63 thf(zip_derived_cl540, plain,
% 13.79/2.63 (((c_Power_Opower__class_Opower @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @ v_v____ @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_na____ @ tc_Complex_Ocomplex)
% 13.79/2.63 != (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_Power_Opower__class_Opower @ v_v____ @ v_na____ @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.79/2.63 thf(zip_derived_cl16202, plain,
% 13.79/2.63 ((((c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_Power_Opower__class_Opower @ v_v____ @ v_na____ @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 (c_Power_Opower__class_Opower @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_na____ @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 != (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_Power_Opower__class_Opower @ v_v____ @ v_na____ @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))
% 13.79/2.63 | ((c_RealVector_Oof__real @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 13.79/2.63 | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl540])).
% 13.79/2.63 thf(cls_complex__of__real__power_0, axiom,
% 13.79/2.63 (( c_Power_Opower__class_Opower @
% 13.79/2.63 ( c_RealVector_Oof__real @ V_x @ tc_Complex_Ocomplex ) @ V_n @
% 13.79/2.63 tc_Complex_Ocomplex ) =
% 13.79/2.63 ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_Power_Opower__class_Opower @ V_x @ V_n @ tc_RealDef_Oreal ) @
% 13.79/2.63 tc_Complex_Ocomplex ))).
% 13.79/2.63 thf(zip_derived_cl472, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i]:
% 13.79/2.63 ((c_Power_Opower__class_Opower @
% 13.79/2.63 (c_RealVector_Oof__real @ X0 @ tc_Complex_Ocomplex) @ X1 @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_RealVector_Oof__real @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X0 @ X1 @ tc_RealDef_Oreal) @
% 13.79/2.63 tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_complex__of__real__power_0])).
% 13.79/2.63 thf(zip_derived_cl519, plain,
% 13.79/2.63 (((c_Power_Opower__class_Opower @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 v_na____ @ tc_RealDef_Oreal)
% 13.79/2.63 = (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 13.79/2.63 thf(zip_derived_cl539, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 13.79/2.63 thf(zip_derived_cl16279, plain,
% 13.79/2.63 ((((c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_Power_Opower__class_Opower @ v_v____ @ v_na____ @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 != (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_Power_Opower__class_Opower @ v_v____ @ v_na____ @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex))
% 13.79/2.63 | ((c_RealVector_Oof__real @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl16202, zip_derived_cl472, zip_derived_cl519,
% 13.79/2.63 zip_derived_cl539])).
% 13.79/2.63 thf(zip_derived_cl16280, plain,
% 13.79/2.63 (((c_RealVector_Oof__real @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('simplify', [status(thm)], [zip_derived_cl16279])).
% 13.79/2.63 thf(cls_Re__complex__of__real_0, axiom,
% 13.79/2.63 (( c_Complex_ORe @ ( c_RealVector_Oof__real @ V_z @ tc_Complex_Ocomplex ) ) =
% 13.79/2.63 ( V_z ))).
% 13.79/2.63 thf(zip_derived_cl482, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ((c_Complex_ORe @ (c_RealVector_Oof__real @ X0 @ tc_Complex_Ocomplex))
% 13.79/2.63 = (X0))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_Re__complex__of__real_0])).
% 13.79/2.63 thf(zip_derived_cl16288, plain,
% 13.79/2.63 (((c_Complex_ORe @ (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 13.79/2.63 = (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl16280, zip_derived_cl482])).
% 13.79/2.63 thf(cls_Re_Ozero_0, axiom,
% 13.79/2.63 (( c_Complex_ORe @ ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) =
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 13.79/2.63 thf(zip_derived_cl266, plain,
% 13.79/2.63 (((c_Complex_ORe @ (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_Re_Ozero_0])).
% 13.79/2.63 thf(zip_derived_cl16309, plain,
% 13.79/2.63 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 13.79/2.63 = (c_NthRoot_Oroot @ v_na____ @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl16288, zip_derived_cl266])).
% 13.79/2.63 thf(zip_derived_cl16317, plain,
% 13.79/2.63 (((c_Power_Opower__class_Opower @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_na____ @
% 13.79/2.63 tc_RealDef_Oreal)
% 13.79/2.63 = (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl519, zip_derived_cl16309])).
% 13.79/2.63 thf(cls_dvd__power__same_0, axiom,
% 13.79/2.63 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 13.79/2.63 ( c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 ( c_Power_Opower__class_Opower @ V_x @ V_n @ T_a ) @
% 13.79/2.63 ( c_Power_Opower__class_Opower @ V_y @ V_n @ T_a ) @ T_a ) |
% 13.79/2.63 ( ~( c_Ring__and__Field_Odvd__class_Odvd @ V_x @ V_y @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl511, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 13.79/2.63 | (c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X3 @ X2 @ X0) @ X0)
% 13.79/2.63 | ~ (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ X3 @ X0))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_dvd__power__same_0])).
% 13.79/2.63 thf(zip_derived_cl16326, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ( (c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X0 @ v_na____ @ tc_RealDef_Oreal) @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_RealDef_Oreal)
% 13.79/2.63 | ~ (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 13.79/2.63 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl16317, zip_derived_cl511])).
% 13.79/2.63 thf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1, axiom,
% 13.79/2.63 (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)).
% 13.79/2.63 thf(zip_derived_cl523, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 13.79/2.63 thf(zip_derived_cl16340, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ( (c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 (c_Power_Opower__class_Opower @ X0 @ v_na____ @ tc_RealDef_Oreal) @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_RealDef_Oreal)
% 13.79/2.63 | ~ (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl16326, zip_derived_cl523])).
% 13.79/2.63 thf(zip_derived_cl18987, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ( (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_RealDef_Oreal)
% 13.79/2.63 | (c_Parity_Oeven__odd__class_Oeven @ v_na____ @ tc_nat)
% 13.79/2.63 | ~ (c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @ X0) @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl415, zip_derived_cl16340])).
% 13.79/2.63 thf(cls_o_0, axiom,
% 13.79/2.63 (~( c_Parity_Oeven__odd__class_Oeven @ v_na____ @ tc_nat ))).
% 13.79/2.63 thf(zip_derived_cl479, plain,
% 13.79/2.63 (~ (c_Parity_Oeven__odd__class_Oeven @ v_na____ @ tc_nat)),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_o_0])).
% 13.79/2.63 thf(zip_derived_cl18994, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ( (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_RealDef_Oreal)
% 13.79/2.63 | ~ (c_Ring__and__Field_Odvd__class_Odvd @
% 13.79/2.63 (c_NthRoot_Oroot @ v_na____ @ X0) @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl18987, zip_derived_cl479])).
% 13.79/2.63 thf(zip_derived_cl19237, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)
% 13.79/2.63 | (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_RealDef_Oreal))),
% 13.79/2.63 inference('sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl18994])).
% 13.79/2.63 thf(zip_derived_cl523, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 13.79/2.63 thf(zip_derived_cl19241, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_RealDef_Oreal)),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl19237, zip_derived_cl523])).
% 13.79/2.63 thf(zip_derived_cl19537, plain,
% 13.79/2.63 ((((c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 13.79/2.63 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl19241])).
% 13.79/2.63 thf(zip_derived_cl523, plain,
% 13.79/2.63 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 13.79/2.63 thf(zip_derived_cl19544, plain,
% 13.79/2.63 (((c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl19537, zip_derived_cl523])).
% 13.79/2.63 thf(zip_derived_cl537, plain,
% 13.79/2.63 ( (class_RealVector_Oreal__algebra__1 @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1])).
% 13.79/2.63 thf(cls_of__real__0_0, axiom,
% 13.79/2.63 (( ~( class_RealVector_Oreal__algebra__1 @ T_a ) ) |
% 13.79/2.63 ( ( c_RealVector_Oof__real @
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ T_a ) =
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl146, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (~ (class_RealVector_Oreal__algebra__1 @ X0)
% 13.79/2.63 | ((c_RealVector_Oof__real @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_of__real__0_0])).
% 13.79/2.63 thf(zip_derived_cl2824, plain,
% 13.79/2.63 (((c_RealVector_Oof__real @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('dp-resolution', [status(thm)],
% 13.79/2.63 [zip_derived_cl537, zip_derived_cl146])).
% 13.79/2.63 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field, axiom,
% 13.79/2.63 (class_RealVector_Oreal__normed__field @ tc_Complex_Ocomplex)).
% 13.79/2.63 thf(zip_derived_cl536, plain,
% 13.79/2.63 ( (class_RealVector_Oreal__normed__field @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field])).
% 13.79/2.63 thf(cls_divide_Ozero_0, axiom,
% 13.79/2.63 (( ~( class_RealVector_Oreal__normed__field @ T_a ) ) |
% 13.79/2.63 ( ( c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_y @ T_a ) =
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 13.79/2.63 thf(zip_derived_cl509, plain,
% 13.79/2.63 (![X0 : $i, X1 : $i]:
% 13.79/2.63 (~ (class_RealVector_Oreal__normed__field @ X0)
% 13.79/2.63 | ((c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_divide_Ozero_0])).
% 13.79/2.63 thf(zip_derived_cl2843, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ((c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('dp-resolution', [status(thm)],
% 13.79/2.63 [zip_derived_cl536, zip_derived_cl509])).
% 13.79/2.63 thf(zip_derived_cl19551, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 (c_HOL_Osgn__class_Osgn @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl13575, zip_derived_cl19544, zip_derived_cl2824,
% 13.79/2.63 zip_derived_cl2843])).
% 13.79/2.63 thf(cls_complex__cnj__cnj_0, axiom,
% 13.79/2.63 (( c_Complex_Ocnj @ ( c_Complex_Ocnj @ V_z ) ) = ( V_z ))).
% 13.79/2.63 thf(zip_derived_cl213, plain,
% 13.79/2.63 (![X0 : $i]: ((c_Complex_Ocnj @ (c_Complex_Ocnj @ X0)) = (X0))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_complex__cnj__cnj_0])).
% 13.79/2.63 thf(cls_complex__cnj__zero__iff_0, axiom,
% 13.79/2.63 (( ( c_Complex_Ocnj @ V_z ) !=
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 13.79/2.63 ( ( V_z ) = ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ))).
% 13.79/2.63 thf(zip_derived_cl416, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (((c_Complex_Ocnj @ X0)
% 13.79/2.63 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 13.79/2.63 | ((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_complex__cnj__zero__iff_0])).
% 13.79/2.63 thf(zip_derived_cl4373, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (((X0) != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 13.79/2.63 | ((c_Complex_Ocnj @ X0)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl416])).
% 13.79/2.63 thf(cls_complex__mod__cnj_0, axiom,
% 13.79/2.63 (( c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 ( c_Complex_Ocnj @ V_z ) @ tc_Complex_Ocomplex ) =
% 13.79/2.63 ( c_RealVector_Onorm__class_Onorm @ V_z @ tc_Complex_Ocomplex ))).
% 13.79/2.63 thf(zip_derived_cl500, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 ((c_RealVector_Onorm__class_Onorm @ (c_Complex_Ocnj @ X0) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_complex__mod__cnj_0])).
% 13.79/2.63 thf(zip_derived_cl4526, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (((c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex))
% 13.79/2.63 | ((X0) != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl4373, zip_derived_cl500])).
% 13.79/2.63 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom,
% 13.79/2.63 (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)).
% 13.79/2.63 thf(zip_derived_cl535, plain,
% 13.79/2.63 ( (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)),
% 13.79/2.63 inference('cnf', [status(esa)],
% 13.79/2.63 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector])).
% 13.79/2.63 thf(cls_norm__zero_0, axiom,
% 13.79/2.63 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 13.79/2.63 ( ( c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 13.79/2.63 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 13.79/2.63 thf(zip_derived_cl223, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 13.79/2.63 | ((c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_norm__zero_0])).
% 13.79/2.63 thf(zip_derived_cl2926, plain,
% 13.79/2.63 (((c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('dp-resolution', [status(thm)],
% 13.79/2.63 [zip_derived_cl535, zip_derived_cl223])).
% 13.79/2.63 thf(zip_derived_cl4531, plain,
% 13.79/2.63 (![X0 : $i]:
% 13.79/2.63 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 13.79/2.63 = (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex))
% 13.79/2.63 | ((X0) != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl4526, zip_derived_cl2926])).
% 13.79/2.63 thf(zip_derived_cl488, plain,
% 13.79/2.63 (((c_RealVector_Onorm__class_Onorm @
% 13.79/2.63 (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_th0_0])).
% 13.79/2.63 thf(zip_derived_cl5003, plain,
% 13.79/2.63 ((((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 13.79/2.63 = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))
% 13.79/2.63 | ((c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex)
% 13.79/2.63 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 13.79/2.63 inference('sup+', [status(thm)], [zip_derived_cl4531, zip_derived_cl488])).
% 13.79/2.63 thf(cls_real__zero__not__eq__one_0, axiom,
% 13.79/2.63 (( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) !=
% 13.79/2.63 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 13.79/2.63 thf(zip_derived_cl186, plain,
% 13.79/2.63 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 13.79/2.63 != (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 13.79/2.63 inference('cnf', [status(esa)], [cls_real__zero__not__eq__one_0])).
% 13.79/2.63 thf(zip_derived_cl5010, plain,
% 13.79/2.63 (((c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex)
% 13.79/2.63 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('simplify_reflect-', [status(thm)],
% 13.79/2.63 [zip_derived_cl5003, zip_derived_cl186])).
% 13.79/2.63 thf(zip_derived_cl13575, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 (c_HOL_Osgn__class_Osgn @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 = (c_HOL_Oinverse__class_Odivide @
% 13.79/2.63 (c_RealVector_Oof__real @
% 13.79/2.63 (c_RealVector_Onorm__class_Onorm @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 v_b @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl13438, zip_derived_cl513, zip_derived_cl532,
% 13.79/2.63 zip_derived_cl539])).
% 13.79/2.63 thf(zip_derived_cl13962, plain,
% 13.79/2.63 (((c_HOL_Osgn__class_Osgn @
% 13.79/2.63 (c_HOL_Oinverse__class_Oinverse @
% 13.79/2.63 (c_HOL_Osgn__class_Osgn @ v_b @ tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex) @
% 13.79/2.63 tc_Complex_Ocomplex)
% 13.79/2.63 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 13.79/2.63 inference('demod', [status(thm)],
% 13.79/2.63 [zip_derived_cl5010, zip_derived_cl13575])).
% 13.79/2.63 thf(zip_derived_cl19552, plain, ($false),
% 13.79/2.63 inference('simplify_reflect-', [status(thm)],
% 13.79/2.63 [zip_derived_cl19551, zip_derived_cl13962])).
% 13.79/2.63
% 13.79/2.63 % SZS output end Refutation
% 13.79/2.63
% 13.79/2.63
% 13.79/2.63 % Terminating...
% 13.79/2.72 % Runner terminated.
% 13.79/2.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------