TSTP Solution File: SWW285+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW285+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.SEgC7lXUu1 true
% Computer : n003.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 01:41:25 EDT 2023
% Result : Theorem 155.71s 23.01s
% Output : Refutation 155.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 46
% Syntax : Number of formulae : 116 ( 49 unt; 24 typ; 0 def)
% Number of atoms : 156 ( 88 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 697 ( 53 ~; 46 |; 4 &; 580 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 6 con; 0-3 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Polynomial_Odegree_type,type,
c_Polynomial_Odegree: $i > $i > $i ).
thf(v_r_____type,type,
v_r____: $i ).
thf(class_Rings_Ocomm__semiring__0_type,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
thf(class_Rings_Omult__zero_type,type,
class_Rings_Omult__zero: $i > $o ).
thf(class_Rings_Ono__zero__divisors_type,type,
class_Rings_Ono__zero__divisors: $i > $o ).
thf(v_p_type,type,
v_p: $i ).
thf(class_Groups_Ozero_type,type,
class_Groups_Ozero: $i > $o ).
thf(class_Rings_Ozero__neq__one_type,type,
class_Rings_Ozero__neq__one: $i > $o ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(class_Power_Opower_type,type,
class_Power_Opower: $i > $o ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(c_Polynomial_Omonom_type,type,
c_Polynomial_Omonom: $i > $i > $i > $i ).
thf(c_Polynomial_Osmult_type,type,
c_Polynomial_Osmult: $i > $i > $i > $i ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i ).
thf(v_q_type,type,
v_q: $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
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(fact_r,axiom,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ v_r____ ) ) ).
thf(zip_derived_cl53,plain,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ v_r____ ) ),
inference(cnf,[status(esa)],[fact_r]) ).
thf(fact_pe,axiom,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).
thf(zip_derived_cl1,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pe]) ).
thf(fact_degree__0,axiom,
! [T_a: $i] :
( ( class_Groups_Ozero @ T_a )
=> ( ( c_Polynomial_Odegree @ T_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( ( c_Polynomial_Odegree @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_degree__0]) ).
thf(zip_derived_cl9670,plain,
( ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ~ ( class_Groups_Ozero @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl94]) ).
thf(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1552,plain,
class_Groups_Ozero @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
thf(zip_derived_cl9671,plain,
( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(demod,[status(thm)],[zip_derived_cl9670,zip_derived_cl1552]) ).
thf(zip_derived_cl9693,plain,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ v_r____ ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl9671]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1534,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(fact_mult__poly__0__left,axiom,
! [V_q: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ T_a ) ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) @ V_q )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ X0 ) ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_mult__poly__0__left]) ).
thf(zip_derived_cl10018,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl102]) ).
thf(zip_derived_cl1_001,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pe]) ).
thf(zip_derived_cl1_002,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pe]) ).
thf(zip_derived_cl10021,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ X0 )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl10018,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl10470,plain,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl9693,zip_derived_cl10021]) ).
thf(zip_derived_cl10470_003,plain,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl9693,zip_derived_cl10021]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
! [V_q: $i,V_x: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ V_q ) ) @ V_x )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ ( c_Nat_OSuc @ V_q ) ) ) ) ).
thf(zip_derived_cl364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ X2 ) ) @ X1 )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ ( c_Nat_OSuc @ X2 ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J]) ).
thf(zip_derived_cl22071,plain,
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ v_q )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10470,zip_derived_cl364]) ).
thf(zip_derived_cl10021_004,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ X0 )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl10018,zip_derived_cl1,zip_derived_cl1]) ).
thf(fact_One__nat__def,axiom,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl316,plain,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ),
inference(cnf,[status(esa)],[fact_One__nat__def]) ).
thf(zip_derived_cl22091,plain,
( ( v_p
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_q ) @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22071,zip_derived_cl10021,zip_derived_cl316]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [V_x: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) )
= V_x ) ) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X1 ) @ X0 ) @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) )
= X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ X1 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J]) ).
thf(zip_derived_cl22469,plain,
( ~ ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )
| ( v_p = v_q )
| ~ ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22091,zip_derived_cl350]) ).
thf(zip_derived_cl22489,plain,
( ( v_p = v_q )
| ~ ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl22469]) ).
thf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [T_1: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_1 )
=> ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ T_1 ) ) ) ).
thf(zip_derived_cl1583,plain,
! [X0: $i] :
( ( class_Rings_Ocomm__semiring__1 @ ( tc_Polynomial_Opoly @ X0 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl92528,plain,
( ( v_p = v_q )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22489,zip_derived_cl1583]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1533,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl92529,plain,
v_p = v_q,
inference(demod,[status(thm)],[zip_derived_cl92528,zip_derived_cl1533]) ).
thf(zip_derived_cl92534,plain,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ v_p ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl10470,zip_derived_cl92529]) ).
thf(fact_poly__power,axiom,
! [V_x: $i,V_n: $i,V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_p ) @ V_n ) ) @ V_x )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ V_x ) ) @ V_n ) ) ) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ X0 ) ) @ X1 ) @ X3 ) ) @ X2 )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ X2 ) ) @ X3 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__power]) ).
thf(zip_derived_cl92796,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ X0 ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl92534,zip_derived_cl79]) ).
thf(zip_derived_cl1534_005,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
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_cl18,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_cl7819,plain,
! [X0: $i] :
( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl18]) ).
thf(zip_derived_cl1_006,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pe]) ).
thf(zip_derived_cl7820,plain,
! [X0: $i] :
( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ X0 )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl7819,zip_derived_cl1]) ).
thf(fact_smult__monom,axiom,
! [V_n: $i,V_b: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( c_Polynomial_Osmult @ T_a @ V_a @ ( c_Polynomial_Omonom @ T_a @ V_b @ V_n ) )
= ( c_Polynomial_Omonom @ T_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ V_b ) @ V_n ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( c_Polynomial_Osmult @ X0 @ X1 @ ( c_Polynomial_Omonom @ X0 @ X2 @ X3 ) )
= ( c_Polynomial_Omonom @ X0 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) @ X3 ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_smult__monom]) ).
thf(zip_derived_cl8233,plain,
! [X0: $i,X1: $i] :
( ( v_p
= ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 ) @ X0 ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7820,zip_derived_cl55]) ).
thf(zip_derived_cl1534_007,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl8242,plain,
! [X0: $i,X1: $i] :
( v_p
= ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl8233,zip_derived_cl1534]) ).
thf(fact_monom__eq__0__iff,axiom,
! [V_n_2: $i,V_a_2: $i,T_a: $i] :
( ( class_Groups_Ozero @ T_a )
=> ( ( ( c_Polynomial_Omonom @ T_a @ V_a_2 @ V_n_2 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
<=> ( V_a_2
= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Polynomial_Omonom @ X0 @ X1 @ X2 )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( X1
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_monom__eq__0__iff]) ).
thf(zip_derived_cl8251,plain,
! [X1: $i] :
( ( v_p
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ~ ( class_Groups_Ozero @ tc_Complex_Ocomplex ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8242,zip_derived_cl15]) ).
thf(zip_derived_cl1_008,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pe]) ).
thf(zip_derived_cl1552_009,plain,
class_Groups_Ozero @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
thf(zip_derived_cl8259,plain,
! [X1: $i] :
( ( v_p != v_p )
| ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8251,zip_derived_cl1,zip_derived_cl1552]) ).
thf(zip_derived_cl8260,plain,
! [X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(simplify,[status(thm)],[zip_derived_cl8259]) ).
thf(zip_derived_cl1_010,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pe]) ).
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_cl16,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(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_cl7781,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ X0 )
| ( X1
= ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) )
| ( ( hAPP @ X1 @ ( sk_ @ X1 @ ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) ) )
!= ( c_Groups_Ozero__class_Ozero @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl7794,plain,
! [X0: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
| ( X0
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
| ( ( hAPP @ X0 @ ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ) )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7781]) ).
thf(zip_derived_cl1534_011,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl7818,plain,
! [X0: $i] :
( ( X0
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
| ( ( hAPP @ X0 @ ( sk_ @ X0 @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ) )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7794,zip_derived_cl1534]) ).
thf(zip_derived_cl8317,plain,
( ( ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) )
| ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8260,zip_derived_cl7818]) ).
thf(zip_derived_cl8324,plain,
( ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ),
inference(simplify,[status(thm)],[zip_derived_cl8317]) ).
thf(zip_derived_cl8260_012,plain,
! [X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(simplify,[status(thm)],[zip_derived_cl8259]) ).
thf(zip_derived_cl8324_013,plain,
( ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
= ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) ),
inference(simplify,[status(thm)],[zip_derived_cl8317]) ).
thf(zip_derived_cl8260_014,plain,
! [X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(simplify,[status(thm)],[zip_derived_cl8259]) ).
thf(zip_derived_cl1533_015,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl92834,plain,
( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
= ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92796,zip_derived_cl8324,zip_derived_cl8260,zip_derived_cl8324,zip_derived_cl8260,zip_derived_cl1533]) ).
thf(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
class_Rings_Ozero__neq__one @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1539,plain,
class_Rings_Ozero__neq__one @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one]) ).
thf(fact_power__eq__0__iff,axiom,
! [V_n_2: $i,V_a_2: $i,T_a: $i] :
( ( ( class_Power_Opower @ T_a )
& ( class_Rings_Omult__zero @ T_a )
& ( class_Rings_Ono__zero__divisors @ T_a )
& ( class_Rings_Ozero__neq__one @ T_a ) )
=> ( ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_a_2 ) @ V_n_2 )
= ( c_Groups_Ozero__class_Ozero @ T_a ) )
<=> ( ( V_a_2
= ( c_Groups_Ozero__class_Ozero @ T_a ) )
& ( V_n_2
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ X2 )
!= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( X2
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ~ ( class_Rings_Ozero__neq__one @ X0 )
| ~ ( class_Rings_Ono__zero__divisors @ X0 )
| ~ ( class_Rings_Omult__zero @ X0 )
| ~ ( class_Power_Opower @ X0 ) ),
inference(cnf,[status(esa)],[fact_power__eq__0__iff]) ).
thf(zip_derived_cl5715,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Power_Opower @ tc_Complex_Ocomplex )
| ~ ( class_Rings_Omult__zero @ tc_Complex_Ocomplex )
| ~ ( class_Rings_Ono__zero__divisors @ tc_Complex_Ocomplex )
| ( X0
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1539,zip_derived_cl132]) ).
thf(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
class_Rings_Ono__zero__divisors @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1531,plain,
class_Rings_Ono__zero__divisors @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ono__zero__divisors]) ).
thf(zip_derived_cl7807,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Power_Opower @ tc_Complex_Ocomplex )
| ~ ( class_Rings_Omult__zero @ tc_Complex_Ocomplex )
| ( X0
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5715,zip_derived_cl1531]) ).
thf(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
class_Rings_Omult__zero @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1545,plain,
class_Rings_Omult__zero @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Omult__zero]) ).
thf(zip_derived_cl7833,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Power_Opower @ tc_Complex_Ocomplex )
| ( X0
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7807,zip_derived_cl1545]) ).
thf(arity_Complex__Ocomplex__Power_Opower,axiom,
class_Power_Opower @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1551,plain,
class_Power_Opower @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Power_Opower]) ).
thf(zip_derived_cl7839,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7833,zip_derived_cl1551]) ).
thf(zip_derived_cl93189,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat )
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92834,zip_derived_cl7839]) ).
thf(zip_derived_cl93212,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl93189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW285+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SEgC7lXUu1 true
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 20:40:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.83/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.41/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.41/0.85 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.50/0.91 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 155.71/23.01 % Solved by fo/fo17_bce.sh.
% 155.71/23.01 % BCE start: 1613
% 155.71/23.01 % BCE eliminated: 102
% 155.71/23.01 % PE start: 1511
% 155.71/23.01 logic: eq
% 155.71/23.01 % PE eliminated: -162
% 155.71/23.01 % done 7094 iterations in 22.123s
% 155.71/23.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 155.71/23.01 % SZS output start Refutation
% See solution above
% 155.71/23.01
% 155.71/23.01
% 155.71/23.01 % Terminating...
% 155.71/23.14 % Runner terminated.
% 156.20/23.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------