TSTP Solution File: SWW189+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW189+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.4SJJpzt9CN true
% Computer : n010.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 01:41:06 EDT 2023
% Result : Theorem 220.29s 32.37s
% Output : Refutation 220.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 30
% Syntax : Number of formulae : 83 ( 22 unt; 19 typ; 0 def)
% Number of atoms : 142 ( 101 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 815 ( 68 ~; 65 |; 3 &; 669 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 83 ( 0 ^; 81 !; 2 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(v_p_type,type,
v_p: $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(v_a_type,type,
v_a: $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(class_Groups_Ozero_type,type,
class_Groups_Ozero: $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(class_Rings_Oidom_type,type,
class_Rings_Oidom: $i > $o ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize_type,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: $i > $i > $i ).
thf(c_Polynomial_Odegree_type,type,
c_Polynomial_Odegree: $i > $i > $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(sk__21_type,type,
sk__21: $i > $i ).
thf(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly_type,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: $i > $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $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(c_Polynomial_Oorder_type,type,
c_Polynomial_Oorder: $i > $i > $i > $i ).
thf(fact_order__root,axiom,
! [V_aa_2: $i,V_pa_2: $i,T_a: $i] :
( ( class_Rings_Oidom @ T_a )
=> ( ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_pa_2 ) @ V_aa_2 )
= ( c_Groups_Ozero__class_Ozero @ T_a ) )
<=> ( ( V_pa_2
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
| ( ( c_Polynomial_Oorder @ T_a @ V_aa_2 @ V_pa_2 )
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ X2 )
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Rings_Oidom @ X0 ) ),
inference(cnf,[status(esa)],[fact_order__root]) ).
thf(zip_derived_cl82_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ X2 )
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Rings_Oidom @ X0 ) ),
inference(cnf,[status(esa)],[fact_order__root]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1547,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [V_c: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c )
= ( c_Groups_Oplus__class_Oplus @ T_a @ V_c @ V_a ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(zip_derived_cl5430,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl5]) ).
thf(fact_offset__poly__eq__0__iff,axiom,
! [V_h_2: $i,V_pa_2: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ T_a @ V_pa_2 @ V_h_2 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
<=> ( V_pa_2
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_offset__poly__eq__0__iff]) ).
thf(fact_poly__offset__poly,axiom,
! [V_x: $i,V_h: $i,V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ T_a @ V_p @ V_h ) ) @ V_x )
= ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_h @ V_x ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 ) ) @ X3 )
= ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__offset__poly]) ).
thf(zip_derived_cl6152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ X0 )
| ( X3
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) @ X1 )
= ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X3 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl6153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) @ X1 )
= ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X3 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 ) ) )
| ( X3
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6152]) ).
thf(zip_derived_cl6184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X1 )
= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X2 ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ X0 ) ) )
| ( X2
!= ( 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_cl5430,zip_derived_cl6153]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1548,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl6194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ X1 )
= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X2 ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ X0 ) ) )
| ( X2
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6184,zip_derived_cl1548]) ).
thf(conj_0,conjecture,
? [B_q: $i] :
( ! [B_x: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ B_q ) @ B_x )
= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ B_x ) ) )
& ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ B_q )
= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [B_q: $i] :
( ! [B_x: $i] :
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ B_q ) @ B_x )
= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ B_x ) ) )
& ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ B_q )
= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1632,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) @ ( sk__21 @ X0 ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ X0 ) ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ X0 )
!= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6133,plain,
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( sk__21 @ v_p ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ v_p ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1632]) ).
thf(zip_derived_cl6238,plain,
( ( v_p
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( sk__21 @ v_p ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) @ v_a ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6194,zip_derived_cl6133]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 ) ) @ X3 )
= ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__offset__poly]) ).
thf(fact_psize__def,axiom,
! [V_p: $i,T_a: $i] :
( ( class_Groups_Ozero @ T_a )
=> ( ( ( V_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
=> ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ T_a @ V_p )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) )
& ( ( V_p
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
=> ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ T_a @ V_p )
= ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ T_a @ V_p ) ) ) ) ) ) ).
thf(zip_derived_cl330,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ X0 @ X1 )
= ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ X0 @ X1 ) ) )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_psize__def]) ).
thf(fact_degree__offset__poly,axiom,
! [V_h: $i,V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( c_Polynomial_Odegree @ T_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ T_a @ V_p @ V_h ) )
= ( c_Polynomial_Odegree @ T_a @ V_p ) ) ) ).
thf(zip_derived_cl295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Polynomial_Odegree @ X0 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 ) )
= ( c_Polynomial_Odegree @ X0 @ X1 ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_degree__offset__poly]) ).
thf(zip_derived_cl330_003,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ X0 @ X1 )
= ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ X0 @ X1 ) ) )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_psize__def]) ).
thf(zip_derived_cl1632_004,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) @ ( sk__21 @ X0 ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ X0 ) ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ X0 )
!= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14779,plain,
! [X0: $i] :
( ~ ( class_Groups_Ozero @ tc_Complex_Ocomplex )
| ( X0
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) @ ( sk__21 @ X0 ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ X0 ) ) ) )
| ( ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 ) )
!= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl1632]) ).
thf(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1567,plain,
class_Groups_Ozero @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
thf(zip_derived_cl14785,plain,
! [X0: $i] :
( ( X0
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) @ ( sk__21 @ X0 ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ X0 ) ) ) )
| ( ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 ) )
!= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14779,zip_derived_cl1567]) ).
thf(zip_derived_cl68456,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ) )
| ( ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 ) )
!= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl14785]) ).
thf(zip_derived_cl1548_005,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl68467,plain,
! [X0: $i,X1: $i] :
( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ) )
| ( ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 ) )
!= ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @ tc_Complex_Ocomplex @ v_p ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68456,zip_derived_cl1548]) ).
thf(zip_derived_cl69270,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Groups_Ozero @ tc_Complex_Ocomplex )
| ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ) )
| ( ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 ) )
!= ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl68467]) ).
thf(zip_derived_cl1567_006,plain,
class_Groups_Ozero @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
thf(zip_derived_cl69281,plain,
! [X0: $i,X1: $i] :
( ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ) )
| ( ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 ) )
!= ( c_Nat_OSuc @ ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl69270,zip_derived_cl1567]) ).
thf(zip_derived_cl70140,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl69281]) ).
thf(zip_derived_cl75355,plain,
! [X0: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl70140]) ).
thf(zip_derived_cl1548_007,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl75359,plain,
! [X0: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_a @ ( sk__21 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75355,zip_derived_cl1548]) ).
thf(zip_derived_cl107232,plain,
( ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ v_a )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl75359]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 )
!= ( 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_offset__poly__eq__0__iff]) ).
thf(zip_derived_cl107341,plain,
( ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( v_p
= ( 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_cl107232,zip_derived_cl29]) ).
thf(zip_derived_cl1548_008,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl107352,plain,
( ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl107341,zip_derived_cl1548]) ).
thf(zip_derived_cl107353,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl107352]) ).
thf(zip_derived_cl107353_009,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl107352]) ).
thf(zip_derived_cl107404,plain,
( ( v_p != v_p )
| ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( sk__21 @ v_p ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6238,zip_derived_cl107353,zip_derived_cl107353]) ).
thf(zip_derived_cl107405,plain,
( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( sk__21 @ v_p ) )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_a ) ),
inference(simplify,[status(thm)],[zip_derived_cl107404]) ).
thf(zip_derived_cl108222,plain,
( ~ ( class_Rings_Oidom @ tc_Complex_Ocomplex )
| ( v_p
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_a ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl107405]) ).
thf(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1569,plain,
class_Rings_Oidom @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
thf(zip_derived_cl107353_010,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl107352]) ).
thf(zip_derived_cl108223,plain,
( ( v_p != v_p )
| ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108222,zip_derived_cl1569,zip_derived_cl107353]) ).
thf(zip_derived_cl108224,plain,
( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ v_a ) ),
inference(simplify,[status(thm)],[zip_derived_cl108223]) ).
thf(zip_derived_cl108225,plain,
( ~ ( class_Rings_Oidom @ tc_Complex_Ocomplex )
| ( v_p
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl108224]) ).
thf(zip_derived_cl1569_011,plain,
class_Rings_Oidom @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
thf(zip_derived_cl107353_012,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl107352]) ).
thf(zip_derived_cl108226,plain,
( ( v_p != v_p )
| ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108225,zip_derived_cl1569,zip_derived_cl107353]) ).
thf(zip_derived_cl108227,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl108226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW189+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4SJJpzt9CN true
% 0.14/0.35 % Computer : n010.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
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Sun Aug 27 22:04:49 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 220.29/32.37 % Solved by fo/fo6_bce.sh.
% 220.29/32.37 % BCE start: 1633
% 220.29/32.37 % BCE eliminated: 333
% 220.29/32.37 % PE start: 1300
% 220.29/32.37 logic: eq
% 220.29/32.37 % PE eliminated: 75
% 220.29/32.37 % done 9015 iterations in 31.620s
% 220.29/32.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 220.29/32.37 % SZS output start Refutation
% See solution above
% 220.29/32.38
% 220.29/32.38
% 220.29/32.38 % Terminating...
% 220.29/32.46 % Runner terminated.
% 220.29/32.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------