TSTP Solution File: SWW269+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW269+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X1Yhluly6j true
% 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 : 300s
% DateTime : Fri Sep 1 01:41:22 EDT 2023
% Result : Theorem 24.47s 4.24s
% Output : Refutation 24.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of formulae : 110 ( 44 unt; 18 typ; 0 def)
% Number of atoms : 155 ( 116 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 876 ( 43 ~; 52 |; 1 &; 770 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 85 ( 0 ^; 85 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_ds_____type,type,
v_ds____: $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i > $i > $i ).
thf(c_Polynomial_Ocoeff_type,type,
c_Polynomial_Ocoeff: $i > $i > $i ).
thf(v_d_____type,type,
v_d____: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_Polynomial_Osmult_type,type,
c_Polynomial_Osmult: $i > $i > $i > $i ).
thf(class_Int_Oring__char__0_type,type,
class_Int_Oring__char__0: $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(class_Groups_Ocomm__monoid__add_type,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
thf(class_RealVector_Oreal__normed__algebra_type,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
thf(class_Rings_Oidom_type,type,
class_Rings_Oidom: $i > $o ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(c_Polynomial_OpCons_type,type,
c_Polynomial_OpCons: $i > $i > $i > $i ).
thf(class_Rings_Ocomm__semiring__0_type,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
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 @ ( c_Groups_Otimes__class_Otimes @ T_a @ V_x @ ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ V_x ) ) ) ) ) ).
thf(zip_derived_cl291,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 @ ( 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__096d_A_061_A0_096,axiom,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ).
thf(zip_derived_cl1,plain,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact__096d_A_061_A0_096]) ).
thf(fact_smult__0__left,axiom,
! [V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( c_Polynomial_Osmult @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_p )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ( ( c_Polynomial_Osmult @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_smult__0__left]) ).
thf(zip_derived_cl6991,plain,
! [X0: $i] :
( ( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl122]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1559,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl6992,plain,
! [X0: $i] :
( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6991,zip_derived_cl1559]) ).
thf(fact_coeff__smult,axiom,
! [V_n: $i,V_p: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Ocoeff @ T_a @ ( c_Polynomial_Osmult @ T_a @ V_a @ V_p ) ) @ V_n )
= ( c_Groups_Otimes__class_Otimes @ T_a @ V_a @ ( hAPP @ ( c_Polynomial_Ocoeff @ T_a @ V_p ) @ V_n ) ) ) ) ).
thf(zip_derived_cl285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Ocoeff @ X0 @ ( c_Polynomial_Osmult @ X0 @ X1 @ X2 ) ) @ X3 )
= ( c_Groups_Otimes__class_Otimes @ X0 @ X1 @ ( hAPP @ ( c_Polynomial_Ocoeff @ X0 @ X2 ) @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_coeff__smult]) ).
thf(zip_derived_cl13509,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ ( hAPP @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ X1 ) @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6992,zip_derived_cl285]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1545,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 )
=> ( ( 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_cl396,plain,
! [X0: $i,X1: $i] :
( ( ( 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_cl5078,plain,
! [X0: $i] :
( ( 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_cl1545,zip_derived_cl396]) ).
thf(zip_derived_cl1_001,plain,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact__096d_A_061_A0_096]) ).
thf(zip_derived_cl1_002,plain,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact__096d_A_061_A0_096]) ).
thf(zip_derived_cl5675,plain,
! [X0: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl5078,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl1559_003,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl13515,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl13509,zip_derived_cl5675,zip_derived_cl1559]) ).
thf(fact_pCons_Oprems,axiom,
! [B_w: $i] :
( ( B_w
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ B_w )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ( X0
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pCons_Oprems]) ).
thf(zip_derived_cl1_004,plain,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact__096d_A_061_A0_096]) ).
thf(zip_derived_cl1_005,plain,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact__096d_A_061_A0_096]) ).
thf(zip_derived_cl5461,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ X0 )
= v_d____ )
| ( X0 = v_d____ ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl1,zip_derived_cl1]) ).
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_cl5462,plain,
! [X0: $i] :
( ( ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
= v_d____ )
| ( X0
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( hAPP @ X0 @ ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) )
!= v_d____ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5461,zip_derived_cl0]) ).
thf(zip_derived_cl13590,plain,
( ( ( sk_ @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
= v_d____ )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( v_d____ != v_d____ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13515,zip_derived_cl5462]) ).
thf(zip_derived_cl13604,plain,
( ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( sk_ @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
= v_d____ ) ),
inference(simplify,[status(thm)],[zip_derived_cl13590]) ).
thf(zip_derived_cl0_006,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_cl13753,plain,
( ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( hAPP @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ v_d____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13604,zip_derived_cl0]) ).
thf(zip_derived_cl13515_007,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl13509,zip_derived_cl5675,zip_derived_cl1559]) ).
thf(zip_derived_cl13757,plain,
( ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( v_d____
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13753,zip_derived_cl13515]) ).
thf(zip_derived_cl13758,plain,
( ( v_d____
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13757]) ).
thf(zip_derived_cl13978,plain,
( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
| ( v_d____
!= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_d____ @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_ds____ ) @ v_d____ ) ) ) )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl13758]) ).
thf(zip_derived_cl1559_008,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl5675_009,plain,
! [X0: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl5078,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl1_010,plain,
( v_d____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact__096d_A_061_A0_096]) ).
thf(fact_add__0,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Groups_Ocomm__monoid__add @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_a )
= V_a ) ) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X1 @ ( c_Groups_Ozero__class_Ozero @ X1 ) @ X0 )
= X0 )
| ~ ( class_Groups_Ocomm__monoid__add @ X1 ) ),
inference(cnf,[status(esa)],[fact_add__0]) ).
thf(zip_derived_cl6515,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= X0 )
| ~ ( class_Groups_Ocomm__monoid__add @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl102]) ).
thf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
class_Groups_Ocomm__monoid__add @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1557,plain,
class_Groups_Ocomm__monoid__add @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]) ).
thf(zip_derived_cl6518,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6515,zip_derived_cl1557]) ).
thf(zip_derived_cl14093,plain,
( ( v_d____ != v_d____ )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13978,zip_derived_cl1559,zip_derived_cl5675,zip_derived_cl6518]) ).
thf(zip_derived_cl14094,plain,
( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14093]) ).
thf(zip_derived_cl13758_011,plain,
( ( v_d____
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13757]) ).
thf(zip_derived_cl291_012,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 @ ( 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(zip_derived_cl6992_013,plain,
! [X0: $i] :
( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6991,zip_derived_cl1559]) ).
thf(fact_poly__smult,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_Osmult @ T_a @ V_a @ V_p ) ) @ V_x )
= ( c_Groups_Otimes__class_Otimes @ T_a @ V_a @ ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ V_x ) ) ) ) ).
thf(zip_derived_cl284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Polynomial_Osmult @ X0 @ X1 @ X2 ) ) @ X3 )
= ( c_Groups_Otimes__class_Otimes @ X0 @ X1 @ ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X2 ) @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__smult]) ).
thf(zip_derived_cl13458,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X1 ) @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6992,zip_derived_cl284]) ).
thf(zip_derived_cl5675_014,plain,
! [X0: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl5078,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl1559_015,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl13465,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl13458,zip_derived_cl5675,zip_derived_cl1559]) ).
thf(zip_derived_cl5462_016,plain,
! [X0: $i] :
( ( ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
= v_d____ )
| ( X0
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( hAPP @ X0 @ ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) )
!= v_d____ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5461,zip_derived_cl0]) ).
thf(zip_derived_cl13561,plain,
( ( ( sk_ @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
= v_d____ )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( v_d____ != v_d____ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13465,zip_derived_cl5462]) ).
thf(zip_derived_cl13574,plain,
( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( sk_ @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
= v_d____ ) ),
inference(simplify,[status(thm)],[zip_derived_cl13561]) ).
thf(zip_derived_cl0_017,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_cl13650,plain,
( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ v_d____ )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13574,zip_derived_cl0]) ).
thf(zip_derived_cl13465_018,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl13458,zip_derived_cl5675,zip_derived_cl1559]) ).
thf(zip_derived_cl13654,plain,
( ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) )
| ( v_d____
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13650,zip_derived_cl13465]) ).
thf(zip_derived_cl13655,plain,
( ( v_d____
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) @ v_d____ ) )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13654]) ).
thf(zip_derived_cl13977,plain,
( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
| ( v_d____
!= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_d____ @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_ds____ ) @ v_d____ ) ) ) )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl13655]) ).
thf(zip_derived_cl1559_019,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl5675_020,plain,
! [X0: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl5078,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl6518_021,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_d____ @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6515,zip_derived_cl1557]) ).
thf(zip_derived_cl14091,plain,
( ( v_d____ != v_d____ )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13977,zip_derived_cl1559,zip_derived_cl5675,zip_derived_cl6518]) ).
thf(zip_derived_cl14092,plain,
( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14091]) ).
thf(zip_derived_cl13465_022,plain,
! [X0: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= v_d____ ),
inference(demod,[status(thm)],[zip_derived_cl13458,zip_derived_cl5675,zip_derived_cl1559]) ).
thf(zip_derived_cl14092_023,plain,
( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14091]) ).
thf(zip_derived_cl14132,plain,
( ( v_d____ != v_d____ )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13758,zip_derived_cl14092,zip_derived_cl13465,zip_derived_cl14092]) ).
thf(zip_derived_cl14133,plain,
( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14132]) ).
thf(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
class_Int_Oring__char__0 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1572,plain,
class_Int_Oring__char__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Int_Oring__char__0]) ).
thf(fact_poly__eq__iff,axiom,
! [V_q_2: $i,V_pa_2: $i,T_a: $i] :
( ( ( class_Int_Oring__char__0 @ T_a )
& ( class_Rings_Oidom @ T_a ) )
=> ( ( ( c_Polynomial_Opoly @ T_a @ V_pa_2 )
= ( c_Polynomial_Opoly @ T_a @ V_q_2 ) )
<=> ( V_pa_2 = V_q_2 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Polynomial_Opoly @ X0 @ X2 )
!= ( c_Polynomial_Opoly @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( class_Rings_Oidom @ X0 )
| ~ ( class_Int_Oring__char__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__eq__iff]) ).
thf(zip_derived_cl4783,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Rings_Oidom @ tc_Complex_Ocomplex )
| ( X0 = X1 )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 )
!= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1572,zip_derived_cl21]) ).
thf(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1580,plain,
class_Rings_Oidom @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
thf(zip_derived_cl6021,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 )
!= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4783,zip_derived_cl1580]) ).
thf(zip_derived_cl14224,plain,
! [X0: $i] :
( ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )
= X0 )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
!= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14133,zip_derived_cl6021]) ).
thf(zip_derived_cl14363,plain,
( ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )
= ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) )
| ( ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
!= ( c_Polynomial_Ocoeff @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14094,zip_derived_cl14224]) ).
thf(zip_derived_cl14376,plain,
( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )
= ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ ) ),
inference(simplify,[status(thm)],[zip_derived_cl14363]) ).
thf(conj_0,conjecture,
( ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1647,plain,
( ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_d____ @ v_ds____ )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14377,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14376,zip_derived_cl1647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW269+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X1Yhluly6j true
% 0.13/0.34 % Computer : n022.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 19:54:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.67 % Total configuration time : 435
% 0.19/0.67 % Estimated wc time : 1092
% 0.19/0.67 % Estimated cpu time (7 cpus) : 156.0
% 1.06/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.47/4.24 % Solved by fo/fo6_bce.sh.
% 24.47/4.24 % BCE start: 1648
% 24.47/4.24 % BCE eliminated: 331
% 24.47/4.24 % PE start: 1317
% 24.47/4.24 logic: eq
% 24.47/4.24 % PE eliminated: 76
% 24.47/4.24 % done 1001 iterations in 3.443s
% 24.47/4.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.47/4.24 % SZS output start Refutation
% See solution above
% 24.47/4.24
% 24.47/4.24
% 24.47/4.24 % Terminating...
% 25.11/4.32 % Runner terminated.
% 25.11/4.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------