TSTP Solution File: SWW222+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ds1bmAN2PJ true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:41:13 EDT 2023
% Result : Theorem 96.38s 14.36s
% Output : Refutation 96.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 41
% Syntax : Number of formulae : 102 ( 41 unt; 25 typ; 0 def)
% Number of atoms : 136 ( 58 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1025 ( 62 ~; 47 |; 3 &; 904 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 9 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Rings_Oinverse__class_Odivide_type,type,
c_Rings_Oinverse__class_Odivide: $i > $i > $i > $i ).
thf(c_Groups_Ouminus__class_Ouminus_type,type,
c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).
thf(c_Int_OBit1_type,type,
c_Int_OBit1: $i > $i ).
thf(c_Groups_Ominus__class_Ominus_type,type,
c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(v_s_____type,type,
v_s____: $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(v_z_____type,type,
v_z____: $i ).
thf(v_p_type,type,
v_p: $i ).
thf(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: $i > $i > $i ).
thf(class_Groups_Ogroup__add_type,type,
class_Groups_Ogroup__add: $i > $o ).
thf(class_Int_Onumber__ring_type,type,
class_Int_Onumber__ring: $i > $o ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(class_Fields_Olinordered__field__inverse__zero_type,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(c_Int_OBit0_type,type,
c_Int_OBit0: $i > $i ).
thf(v_d_____type,type,
v_d____: $i ).
thf(v_wa_____type,type,
v_wa____: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(c_Int_OPls_type,type,
c_Int_OPls: $i ).
thf(fact_right__minus__eq,axiom,
! [V_b_2: $i,V_a_2: $i,T_a: $i] :
( ( class_Groups_Ogroup__add @ T_a )
=> ( ( ( c_Groups_Ominus__class_Ominus @ T_a @ V_a_2 @ V_b_2 )
= ( c_Groups_Ozero__class_Ozero @ T_a ) )
<=> ( V_a_2 = V_b_2 ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( ( c_Groups_Ominus__class_Ominus @ X2 @ X1 @ X0 )
= ( c_Groups_Ozero__class_Ozero @ X2 ) )
| ~ ( class_Groups_Ogroup__add @ X2 ) ),
inference(cnf,[status(esa)],[fact_right__minus__eq]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1165,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_real__norm__def,axiom,
! [V_r: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ V_r )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_r ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl50621,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1165,zip_derived_cl32]) ).
thf(zip_derived_cl50636,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ~ ( class_Groups_Ogroup__add @ tc_Complex_Ocomplex )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl50621]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1150,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(fact_norm__zero,axiom,
! [T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( ( c_RealVector_Onorm__class_Onorm @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( ( c_RealVector_Onorm__class_Onorm @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__zero]) ).
thf(zip_derived_cl2387,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1150,zip_derived_cl15]) ).
thf(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1153,plain,
class_Groups_Ogroup__add @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
thf(zip_derived_cl50646,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50636,zip_derived_cl2387,zip_derived_cl1153]) ).
thf(zip_derived_cl50647,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl50646]) ).
thf(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero @ tc_RealDef_Oreal ).
thf(zip_derived_cl1139,plain,
class_Fields_Olinordered__field__inverse__zero @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
thf(fact_half__gt__zero,axiom,
! [V_r: $i,T_a: $i] :
( ( ( class_Fields_Olinordered__field__inverse__zero @ T_a )
& ( class_Int_Onumber__ring @ T_a ) )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_r )
=> ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ ( c_Rings_Oinverse__class_Odivide @ T_a @ V_r @ ( c_Int_Onumber__class_Onumber__of @ T_a @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ ( c_Rings_Oinverse__class_Odivide @ X0 @ X1 @ ( c_Int_Onumber__class_Onumber__of @ X0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ~ ( class_Int_Onumber__ring @ X0 )
| ~ ( class_Fields_Olinordered__field__inverse__zero @ X0 ) ),
inference(cnf,[status(esa)],[fact_half__gt__zero]) ).
thf(zip_derived_cl2812,plain,
! [X0: $i] :
( ~ ( class_Int_Onumber__ring @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ X0 @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1139,zip_derived_cl63]) ).
thf(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring @ tc_RealDef_Oreal ).
thf(zip_derived_cl1148,plain,
class_Int_Onumber__ring @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
thf(zip_derived_cl45480,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ X0 @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2812,zip_derived_cl1148]) ).
thf(zip_derived_cl52121,plain,
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50647,zip_derived_cl45480]) ).
thf(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal ).
thf(zip_derived_cl1142,plain,
class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
thf(fact_zero__less__norm__iff,axiom,
! [V_x_2: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_x_2 ) )
<=> ( V_x_2
!= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_zero__less__norm__iff]) ).
thf(zip_derived_cl2360,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 ) )
| ( X0
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1142,zip_derived_cl33]) ).
thf(zip_derived_cl52168,plain,
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
| ( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl52121,zip_derived_cl2360]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Ominus__class_Ominus @ X0 @ X1 @ X2 )
!= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( X1 = X2 )
| ~ ( class_Groups_Ogroup__add @ X0 ) ),
inference(cnf,[status(esa)],[fact_right__minus__eq]) ).
thf(zip_derived_cl52677,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
| ~ ( class_Groups_Ogroup__add @ tc_RealDef_Oreal )
| ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) )
= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl52168,zip_derived_cl134]) ).
thf(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add @ tc_RealDef_Oreal ).
thf(zip_derived_cl1147,plain,
class_Groups_Ogroup__add @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
thf(zip_derived_cl52710,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
| ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) )
= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52677,zip_derived_cl1147]) ).
thf(zip_derived_cl52711,plain,
( ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) )
= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl52710]) ).
thf(zip_derived_cl50621_001,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1165,zip_derived_cl32]) ).
thf(fact_d_I2_J,axiom,
! [B_w: $i] :
( ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ B_w @ v_z____ ) ) )
& ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ B_w @ v_z____ ) ) @ v_d____ ) )
=> ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ B_w ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ v_z____ ) ) @ v_d____ )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ v_z____ ) ) ) ),
inference(cnf,[status(esa)],[fact_d_I2_J]) ).
thf(zip_derived_cl32_002,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl3122,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ v_z____ ) ) @ v_d____ )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ X0 @ v_z____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl32]) ).
thf(zip_derived_cl52747,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_wa____ @ v_z____ ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_wa____ @ v_z____ ) ) @ v_d____ ) ),
inference('sup+',[status(thm)],[zip_derived_cl50621,zip_derived_cl3122]) ).
thf(fact_w,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_wa____ @ v_z____ ) ) @ v_d____ ).
thf(zip_derived_cl1,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_wa____ @ v_z____ ) ) @ v_d____,
inference(cnf,[status(esa)],[fact_w]) ).
thf(zip_derived_cl52764,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_wa____ @ v_z____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52747,zip_derived_cl1]) ).
thf(zip_derived_cl1150_003,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(zip_derived_cl33_004,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_zero__less__norm__iff]) ).
thf(zip_derived_cl2390,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) )
| ( X0
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1150,zip_derived_cl33]) ).
thf(zip_derived_cl52783,plain,
( ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_wa____ @ v_z____ )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl52764,zip_derived_cl2390]) ).
thf(zip_derived_cl134_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Ominus__class_Ominus @ X0 @ X1 @ X2 )
!= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( X1 = X2 )
| ~ ( class_Groups_Ogroup__add @ X0 ) ),
inference(cnf,[status(esa)],[fact_right__minus__eq]) ).
thf(zip_derived_cl52792,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ~ ( class_Groups_Ogroup__add @ tc_Complex_Ocomplex )
| ( v_wa____ = v_z____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl52783,zip_derived_cl134]) ).
thf(zip_derived_cl1153_006,plain,
class_Groups_Ogroup__add @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
thf(zip_derived_cl52811,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ( v_wa____ = v_z____ ) ),
inference(demod,[status(thm)],[zip_derived_cl52792,zip_derived_cl1153]) ).
thf(zip_derived_cl52812,plain,
v_wa____ = v_z____,
inference(simplify,[status(thm)],[zip_derived_cl52811]) ).
thf(zip_derived_cl53096,plain,
( ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) )
= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52711,zip_derived_cl52812]) ).
thf(zip_derived_cl53097,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) )
= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ),
inference(simplify,[status(thm)],[zip_derived_cl53096]) ).
thf(zip_derived_cl133_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( ( c_Groups_Ominus__class_Ominus @ X2 @ X1 @ X0 )
= ( c_Groups_Ozero__class_Ozero @ X2 ) )
| ~ ( class_Groups_Ogroup__add @ X2 ) ),
inference(cnf,[status(esa)],[fact_right__minus__eq]) ).
thf(fact_real__less__def,axiom,
! [V_y_2: $i,V_x_2: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_x_2 @ V_y_2 )
<=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_x_2 @ V_y_2 )
& ( V_x_2 != V_y_2 ) ) ) ).
thf(zip_derived_cl477,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__less__def]) ).
thf(fact_e,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ).
thf(zip_derived_cl2,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ),
inference(cnf,[status(esa)],[fact_e]) ).
thf(zip_derived_cl3107,plain,
( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl477,zip_derived_cl2]) ).
thf(zip_derived_cl32_008,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl3126,plain,
( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3107,zip_derived_cl32]) ).
thf(zip_derived_cl5606,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) )
| ~ ( class_Groups_Ogroup__add @ tc_RealDef_Oreal )
| ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
!= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl3126]) ).
thf(zip_derived_cl1142_009,plain,
class_RealVector_Oreal__normed__vector @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
thf(zip_derived_cl15_010,plain,
! [X0: $i] :
( ( ( c_RealVector_Onorm__class_Onorm @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__zero]) ).
thf(zip_derived_cl2357,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1142,zip_derived_cl15]) ).
thf(zip_derived_cl1147_011,plain,
class_Groups_Ogroup__add @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
thf(zip_derived_cl5635,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
!= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5606,zip_derived_cl2357,zip_derived_cl1147]) ).
thf(zip_derived_cl5636,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_z____ ) )
!= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ),
inference(simplify,[status(thm)],[zip_derived_cl5635]) ).
thf(zip_derived_cl52812_012,plain,
v_wa____ = v_z____,
inference(simplify,[status(thm)],[zip_derived_cl52811]) ).
thf(zip_derived_cl52837,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_wa____ ) )
!= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ),
inference(demod,[status(thm)],[zip_derived_cl5636,zip_derived_cl52812]) ).
thf(zip_derived_cl53098,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl53097,zip_derived_cl52837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ds1bmAN2PJ true
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun Aug 27 18:02:53 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.17/0.60 % Total configuration time : 435
% 0.17/0.60 % Estimated wc time : 1092
% 0.17/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 96.38/14.36 % Solved by fo/fo3_bce.sh.
% 96.38/14.36 % BCE start: 1166
% 96.38/14.36 % BCE eliminated: 47
% 96.38/14.36 % PE start: 1119
% 96.38/14.36 logic: eq
% 96.38/14.36 % PE eliminated: 45
% 96.38/14.36 % done 1984 iterations in 13.622s
% 96.38/14.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 96.38/14.36 % SZS output start Refutation
% See solution above
% 96.38/14.36
% 96.38/14.36
% 96.38/14.36 % Terminating...
% 96.73/14.44 % Runner terminated.
% 96.73/14.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------