TSTP Solution File: SWW255+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW255+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.B7pTo77c7V true
% Computer : n025.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 01:41:20 EDT 2023
% Result : Theorem 74.86s 11.35s
% Output : Refutation 74.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 40
% Syntax : Number of formulae : 103 ( 47 unt; 22 typ; 0 def)
% Number of atoms : 115 ( 70 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 996 ( 26 ~; 23 |; 0 &; 936 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 97 ( 0 ^; 97 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(v_k_____type,type,
v_k____: $i ).
thf(v_s_____type,type,
v_s____: $i ).
thf(c_Rings_Oinverse__class_Oinverse_type,type,
c_Rings_Oinverse__class_Oinverse: $i > $i > $i ).
thf(c_Polynomial_OpCons_type,type,
c_Polynomial_OpCons: $i > $i > $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_a_____type,type,
v_a____: $i ).
thf(v_w_____type,type,
v_w____: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(class_RealVector_Oreal__normed__algebra_type,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(class_Rings_Ocomm__semiring__0_type,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
thf(v_q_____type,type,
v_q____: $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(c_Polynomial_Osmult_type,type,
c_Polynomial_Osmult: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(conj_0,conjecture,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ v_w____ ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_a____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ v_k____ ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ v_w____ ) )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_a____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ v_k____ ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl792,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ v_w____ ) )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_a____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ v_k____ ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_poly__pCons,axiom,
! [V_x: $i,V_p: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( c_Polynomial_OpCons @ T_a @ V_a @ V_p ) ) @ V_x )
= ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_x ) @ ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ V_x ) ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Polynomial_OpCons @ X0 @ X1 @ X3 ) ) @ X2 )
= ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X2 ) @ ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X3 ) @ X2 ) ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__pCons]) ).
thf(fact_kas_I4_J,axiom,
! [B_z: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ B_z )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ B_z ) @ v_k____ ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_a____ @ v_s____ ) ) @ B_z ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X0 ) @ v_k____ ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_a____ @ v_s____ ) ) @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_kas_I4_J]) ).
thf(fact_r01,axiom,
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ).
thf(zip_derived_cl3,plain,
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact_r01]) ).
thf(zip_derived_cl4936,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X0 ) @ v_k____ ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_a____ @ v_s____ ) ) @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl3]) ).
thf(zip_derived_cl5361,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X0 ) @ v_k____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a____ @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_s____ ) @ X0 ) ) ) ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl4936]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl784,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl5392,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X0 ) @ v_k____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a____ @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_s____ ) @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5361,zip_derived_cl784]) ).
thf(fact_s0,axiom,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).
thf(zip_derived_cl1,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_s0]) ).
thf(fact_poly__0,axiom,
! [V_x: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) @ V_x )
= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__0]) ).
thf(zip_derived_cl5416,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_s____ ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl57]) ).
thf(zip_derived_cl784_001,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl5417,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_s____ ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(demod,[status(thm)],[zip_derived_cl5416,zip_derived_cl784]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex ).
thf(zip_derived_cl781,plain,
class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]) ).
thf(fact_mult__left_Ozero,axiom,
! [V_y: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__algebra @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ ( c_Groups_Ozero__class_Ozero @ T_a ) ) @ V_y )
= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ ( c_Groups_Ozero__class_Ozero @ X0 ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_RealVector_Oreal__normed__algebra @ X0 ) ),
inference(cnf,[status(esa)],[fact_mult__left_Ozero]) ).
thf(zip_derived_cl3745,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl781,zip_derived_cl48]) ).
thf(fact_ext,axiom,
! [V_g_2: $i,V_f_2: $i] :
( ! [B_x: $i] :
( ( hAPP @ V_f_2 @ B_x )
= ( hAPP @ V_g_2 @ B_x ) )
=> ( V_f_2 = V_g_2 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( hAPP @ X1 @ ( sk_ @ X1 @ X0 ) )
!= ( hAPP @ X0 @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_ext]) ).
thf(zip_derived_cl4913,plain,
! [X0: $i] :
( ( ( hAPP @ X0 @ ( sk_ @ X0 @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ( X0
= ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3745,zip_derived_cl0]) ).
thf(zip_derived_cl5421,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_s____ )
= ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5417,zip_derived_cl4913]) ).
thf(zip_derived_cl5424,plain,
( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_s____ )
= ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5421]) ).
thf(zip_derived_cl3745_002,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl781,zip_derived_cl48]) ).
thf(zip_derived_cl781_003,plain,
class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]) ).
thf(fact_mult__right_Ozero,axiom,
! [V_x: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__algebra @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_x ) @ ( c_Groups_Ozero__class_Ozero @ T_a ) )
= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_RealVector_Oreal__normed__algebra @ X0 ) ),
inference(cnf,[status(esa)],[fact_mult__right_Ozero]) ).
thf(zip_derived_cl3743,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl781,zip_derived_cl46]) ).
thf(zip_derived_cl3745_004,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl781,zip_derived_cl48]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [V_m: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ V_m ) @ V_m )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ ( c_Groups_Oone__class_Oone @ T_a ) ) ) @ V_m ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) @ X2 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ ( c_Groups_Oone__class_Oone @ X0 ) ) ) @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J]) ).
thf(zip_derived_cl6437,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ) @ X0 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl3745,zip_derived_cl72]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl783,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl6461,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6437,zip_derived_cl783]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [V_a: $i,V_m: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_m @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ V_m ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ ( c_Groups_Oone__class_Oone @ T_a ) ) ) @ V_m ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ ( c_Groups_Oone__class_Oone @ X0 ) ) ) @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
thf(zip_derived_cl6882,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X0 ) )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl6461,zip_derived_cl73]) ).
thf(zip_derived_cl3745_005,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl781,zip_derived_cl48]) ).
thf(zip_derived_cl783_006,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl6893,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6882,zip_derived_cl3745,zip_derived_cl783]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_a )
= V_a ) ) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X1 @ ( c_Groups_Ozero__class_Ozero @ X1 ) @ X0 )
= X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ X1 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J]) ).
thf(zip_derived_cl6995,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl6893,zip_derived_cl125]) ).
thf(zip_derived_cl783_007,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl7003,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6995,zip_derived_cl783]) ).
thf(zip_derived_cl3745_008,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl781,zip_derived_cl48]) ).
thf(zip_derived_cl73_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ ( c_Groups_Oone__class_Oone @ X0 ) ) ) @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
thf(zip_derived_cl6589,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ) @ X0 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl3745,zip_derived_cl73]) ).
thf(zip_derived_cl783_010,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl6627,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6589,zip_derived_cl783]) ).
thf(zip_derived_cl7003_011,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6995,zip_derived_cl783]) ).
thf(zip_derived_cl6893_012,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6882,zip_derived_cl3745,zip_derived_cl783]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) )
= V_a ) ) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X1 @ X0 @ ( c_Groups_Ozero__class_Ozero @ X1 ) )
= X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ X1 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J]) ).
thf(zip_derived_cl6998,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 )
= X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl6893,zip_derived_cl126]) ).
thf(zip_derived_cl783_013,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl7004,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6998,zip_derived_cl783]) ).
thf(zip_derived_cl7285,plain,
! [X0: $i] :
( X0
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6627,zip_derived_cl7003,zip_derived_cl7004]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ V_b )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_b ) @ V_a ) ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X2 ) @ X1 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl9364,plain,
! [X0: $i] :
( ( X0
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl7285,zip_derived_cl106]) ).
thf(zip_derived_cl783_014,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl9404,plain,
! [X0: $i] :
( X0
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9364,zip_derived_cl783]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [V_ry: $i,V_rx: $i,V_lx: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_lx ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_rx ) @ V_ry ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_rx ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_lx ) @ V_ry ) ) ) ) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X2 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X3 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X2 ) @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
thf(zip_derived_cl10831,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X1 ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl9404,zip_derived_cl107]) ).
thf(zip_derived_cl9404_015,plain,
! [X0: $i] :
( X0
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9364,zip_derived_cl783]) ).
thf(zip_derived_cl783_016,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl10844,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl10831,zip_derived_cl9404,zip_derived_cl783]) ).
thf(zip_derived_cl66939,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_a____ ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X0 ) @ v_k____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5392,zip_derived_cl5424,zip_derived_cl3745,zip_derived_cl3743,zip_derived_cl7003,zip_derived_cl10844]) ).
thf(zip_derived_cl66940,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ v_w____ ) )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Rings_Oinverse__class_Oinverse @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_q____ ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) @ v_q____ ) ) @ v_w____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl792,zip_derived_cl66939]) ).
thf(zip_derived_cl66941,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl66940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW255+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B7pTo77c7V true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 20:18:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 74.86/11.35 % Solved by fo/fo3_bce.sh.
% 74.86/11.35 % BCE start: 793
% 74.86/11.35 % BCE eliminated: 23
% 74.86/11.35 % PE start: 770
% 74.86/11.35 logic: eq
% 74.86/11.35 % PE eliminated: -66
% 74.86/11.35 % done 3206 iterations in 10.571s
% 74.86/11.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 74.86/11.35 % SZS output start Refutation
% See solution above
% 74.86/11.35
% 74.86/11.35
% 74.86/11.35 % Terminating...
% 75.57/11.42 % Runner terminated.
% 75.57/11.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------