%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG401-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : 600s
% DateTime : Thu Jul 14 17:40:08 EDT 2022
% Result : Unsatisfiable 108.21s 108.45s
% Output : CNFRefutation 108.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 46
% Syntax : Number of clauses : 118 ( 60 unt; 0 nHn; 66 RR)
% Number of literals : 198 ( 180 equ; 83 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_monom__0_0,axiom,
( ~ class_HOL_Ozero(T_a)
| c_Polynomial_Omonom(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
cnf(cls_power__0_0,axiom,
( ~ class_Power_Opower(T_a)
| c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
cnf(cls_complex__divide__def_0,axiom,
c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
cnf(cls_poly__monom_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
| c_Polynomial_Opoly(c_Polynomial_Omonom(V_a,V_n,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
cnf(cls_kas_I4_J_0,axiom,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
cnf(cls_inverse__1_0,axiom,
( ~ class_Ring__and__Field_Odivision__ring(T_a)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
cnf(cls_mult__1__right_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(T_a)
| c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
cnf(cls_class__semiring_Omul__c_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
| c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
cnf(cls_CHAINED_0,axiom,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
cnf(cls_CHAINED_0_01,axiom,
v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
cnf(cls_conjecture_0,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
class_Power_Opower(tc_Complex_Ocomplex) ).
cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex) ).
cnf(refute_0_0,plain,
c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_1,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,0],$fot(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))]]) ).
cnf(refute_0_2,plain,
( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) )],[cls_CHAINED_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1],$fot(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_5,plain,
( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[cls_kas_I4_J_0,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Omonom(X_3810,X_3811,tc_Complex_Ocomplex),X_3812,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3810,c_Power_Opower__class_Opower(X_3812,X_3811,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(subst,[],[cls_poly__monom_0:[bind(T_a,$fot(tc_Complex_Ocomplex)),bind(V_a,$fot(X_3810)),bind(V_n,$fot(X_3811)),bind(V_x,$fot(X_3812))]]) ).
cnf(refute_0_8,plain,
c_Polynomial_Opoly(c_Polynomial_Omonom(X_3810,X_3811,tc_Complex_Ocomplex),X_3812,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3810,c_Power_Opower__class_Opower(X_3812,X_3811,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,refute_0_7]) ).
cnf(refute_0_9,plain,
c_Polynomial_Opoly(c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(subst,[],[refute_0_8:[bind(X_3810,$fot(X_3816)),bind(X_3811,$fot(c_HOL_Ozero__class_Ozero(tc_nat))),bind(X_3812,$fot(X_3818))]]) ).
cnf(refute_0_10,plain,
( ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ),
inference(subst,[],[cls_monom__0_0:[bind(T_a,$fot(tc_Complex_Ocomplex)),bind(V_a,$fot(X_3506))]]) ).
cnf(refute_0_11,plain,
c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(resolve,[$cnf( class_HOL_Ozero(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__HOL_Ozero,refute_0_10]) ).
cnf(refute_0_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____ ),
inference(subst,[],[refute_0_14:[bind(X,$fot(v_s____)),bind(Y,$fot(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))]]) ).
cnf(refute_0_16,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(resolve,[$cnf( $equal(v_s____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) )],[cls_CHAINED_0_01,refute_0_15]) ).
cnf(refute_0_17,plain,
c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_18,plain,
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____
| c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)) ),[1,1],$fot(v_s____)]]) ).
cnf(refute_0_19,plain,
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____
| c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex)
| c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex)) ),[0],$fot(c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_22,plain,
( c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3506,v_s____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Omonom(X_3506,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_Polynomial_OpCons(X_3506,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)) )],[refute_0_11,refute_0_22]) ).
cnf(refute_0_24,plain,
c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),
inference(subst,[],[refute_0_23:[bind(X_3506,$fot(X_3816))]]) ).
cnf(refute_0_25,plain,
( c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[0,0],$fot(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_26,plain,
( c_Polynomial_Opoly(c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Omonom(X_3816,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_9,refute_0_26]) ).
cnf(refute_0_28,plain,
c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(subst,[],[cls_complex__divide__def_0:[bind(V_y,$fot(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_29,plain,
( ~ class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
inference(subst,[],[cls_inverse__1_0:[bind(T_a,$fot(tc_Complex_Ocomplex))]]) ).
cnf(refute_0_30,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(resolve,[$cnf( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,refute_0_29]) ).
cnf(refute_0_31,plain,
( c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,1],$fot(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))]]) ).
cnf(refute_0_32,plain,
( c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_28,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_358 ),
inference(subst,[],[cls_mult__1__right_0:[bind(T_a,$fot(tc_Complex_Ocomplex)),bind(V_a,$fot(X_358))]]) ).
cnf(refute_0_35,plain,
c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_358,
inference(resolve,[$cnf( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,refute_0_34]) ).
cnf(refute_0_36,plain,
( c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex))),bind(Y,$fot(c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_37,plain,
c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(subst,[],[refute_0_37:[bind(V_x,$fot(X_358))]]) ).
cnf(refute_0_39,plain,
( c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X_358
| c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_358 ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X_358) ),[0],$fot(c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_40,plain,
( c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X_358
| c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_358 ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
c_HOL_Oinverse__class_Odivide(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_358,
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_358,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X_358) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = V_x,
inference(subst,[],[refute_0_41:[bind(X_358,$fot(V_x))]]) ).
cnf(refute_0_43,plain,
( c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != V_x
| c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| V_x = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[0],$fot(V_x)]]) ).
cnf(refute_0_44,plain,
( c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| V_x = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
V_x = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Oinverse__class_Odivide(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_33,refute_0_44]) ).
cnf(refute_0_46,plain,
( V_x != c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = V_x ),
inference(subst,[],[refute_0_14:[bind(X,$fot(V_x)),bind(Y,$fot(c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_47,plain,
c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = V_x,
inference(resolve,[$cnf( $equal(V_x,c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_3816,
inference(subst,[],[refute_0_47:[bind(V_x,$fot(X_3816))]]) ).
cnf(refute_0_49,plain,
( ~ class_Power_Opower(tc_Complex_Ocomplex)
| c_Power_Opower__class_Opower(X_557,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
inference(subst,[],[cls_power__0_0:[bind(T_a,$fot(tc_Complex_Ocomplex)),bind(V_a,$fot(X_557))]]) ).
cnf(refute_0_50,plain,
c_Power_Opower__class_Opower(X_557,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(resolve,[$cnf( class_Power_Opower(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__Power_Opower,refute_0_49]) ).
cnf(refute_0_51,plain,
c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(subst,[],[refute_0_50:[bind(X_557,$fot(X_3818))]]) ).
cnf(refute_0_52,plain,
c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_53,plain,
( c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,1],$fot(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))]]) ).
cnf(refute_0_54,plain,
( c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_57,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_14,refute_0_56]) ).
cnf(refute_0_58,plain,
( c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X_3816
| c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_3816 ),
inference(subst,[],[refute_0_57:[bind(X,$fot(c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex))),bind(Y,$fot(c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex))),bind(Z,$fot(X_3816))]]) ).
cnf(refute_0_59,plain,
( c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X_3816
| c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_3816 ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X_3816,
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_3816,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X_3816) )],[refute_0_48,refute_0_59]) ).
cnf(refute_0_61,plain,
( c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X_3816
| c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = X_3816 ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1],$fot(X_3816)]]) ).
cnf(refute_0_62,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = X_3816 ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X_3816) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex) = X_3816,
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(X_3816,v_s____,tc_Complex_Ocomplex),X_3818,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_3816,c_Power_Opower__class_Opower(X_3818,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_27,refute_0_62]) ).
cnf(refute_0_64,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = v_a____,
inference(subst,[],[refute_0_63:[bind(X_3816,$fot(v_a____)),bind(X_3818,$fot(V_z))]]) ).
cnf(refute_0_65,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_66,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) != v_a____
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,1],$fot(v_a____)]]) ).
cnf(refute_0_67,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) != v_a____
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),v_a____) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_70,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,1],$fot(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex))]]) ).
cnf(refute_0_71,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1],$fot(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_74,plain,
( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_6,refute_0_74]) ).
cnf(refute_0_76,plain,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(subst,[],[refute_0_75:[bind(V_z,$fot(v_w____))]]) ).
cnf(refute_0_77,plain,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_78,plain,
( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,0],$fot(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_79,plain,
( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1],$fot(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_82,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_82,cls_conjecture_0]) ).
cnf(refute_0_84,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex) ),
inference(subst,[],[cls_class__semiring_Omul__c_0:[bind(T_a,$fot(tc_Complex_Ocomplex)),bind(V_x,$fot(X_4473)),bind(V_y,$fot(X_4474))]]) ).
cnf(refute_0_85,plain,
c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex),
inference(resolve,[$cnf( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) )],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,refute_0_84]) ).
cnf(refute_0_86,plain,
( c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex))),bind(Y,$fot(c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_87,plain,
c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(X_4473,X_4474,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X_4474,X_4473,tc_Complex_Ocomplex)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(subst,[],[refute_0_87:[bind(X_4473,$fot(v_a____)),bind(X_4474,$fot(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex)))]]) ).
cnf(refute_0_89,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_90,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,1],$fot(c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_91,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_94,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[1,0],$fot(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_95,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) ),[0],$fot(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_98,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),v_a____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_98,refute_0_83]) ).
cnf(refute_0_100,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
introduced(tautology,[refl,[$fot(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex))]]) ).
cnf(refute_0_101,plain,
$false,
inference(resolve,[$cnf( $equal(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) )],[refute_0_100,refute_0_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG401-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 8 15:42:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 108.21/108.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 108.21/108.45
% 108.21/108.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 108.21/108.46
%------------------------------------------------------------------------------