TSTP Solution File: SWW227+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW227+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UthtniOXji true
% Computer : n032.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 01:41:14 EDT 2023
% Result : Theorem 199.92s 29.02s
% Output : Refutation 199.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 50
% Syntax : Number of formulae : 104 ( 56 unt; 31 typ; 0 def)
% Number of atoms : 98 ( 38 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1051 ( 30 ~; 18 |; 0 &; 996 @)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 11 con; 0-3 aty)
% Number of variables : 63 ( 0 ^; 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Int_OPls_type,type,
c_Int_OPls: $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(c_Groups_Ominus__class_Ominus_type,type,
c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).
thf(c_Rings_Oinverse__class_Odivide_type,type,
c_Rings_Oinverse__class_Odivide: $i > $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i > $i > $i ).
thf(v_z_____type,type,
v_z____: $i ).
thf(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: $i > $i > $i ).
thf(class_Fields_Olinordered__field_type,type,
class_Fields_Olinordered__field: $i > $o ).
thf(class_Fields_Ofield__inverse__zero_type,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
thf(c_Int_OBit0_type,type,
c_Int_OBit0: $i > $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(c_Int_OBit1_type,type,
c_Int_OBit1: $i > $i ).
thf(c_RealDef_Oreal_type,type,
c_RealDef_Oreal: $i > $i > $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(c_Groups_Ouminus__class_Ouminus_type,type,
c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).
thf(v_s_____type,type,
v_s____: $i ).
thf(class_Rings_Odivision__ring_type,type,
class_Rings_Odivision__ring: $i > $o ).
thf(tc_Int_Oint_type,type,
tc_Int_Oint: $i ).
thf(class_Int_Onumber__ring_type,type,
class_Int_Onumber__ring: $i > $o ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(v_p_type,type,
v_p: $i ).
thf(v_N1_____type,type,
v_N1____: $i ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(v_N2_____type,type,
v_N2____: $i ).
thf(c_Rings_Oinverse__class_Oinverse_type,type,
c_Rings_Oinverse__class_Oinverse: $i > $i > $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(fact_inverse__divide,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_Fields_Ofield__inverse__zero @ T_a )
=> ( ( c_Rings_Oinverse__class_Oinverse @ T_a @ ( c_Rings_Oinverse__class_Odivide @ T_a @ V_a @ V_b ) )
= ( c_Rings_Oinverse__class_Odivide @ T_a @ V_b @ V_a ) ) ) ).
thf(zip_derived_cl1207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Rings_Oinverse__class_Oinverse @ X0 @ ( c_Rings_Oinverse__class_Odivide @ X0 @ X2 @ X1 ) )
= ( c_Rings_Oinverse__class_Odivide @ X0 @ X1 @ X2 ) )
| ~ ( class_Fields_Ofield__inverse__zero @ X0 ) ),
inference(cnf,[status(esa)],[fact_inverse__divide]) ).
thf(fact_inverse__eq__divide,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Rings_Odivision__ring @ T_a )
=> ( ( c_Rings_Oinverse__class_Oinverse @ T_a @ V_a )
= ( c_Rings_Oinverse__class_Odivide @ T_a @ ( c_Groups_Oone__class_Oone @ T_a ) @ V_a ) ) ) ).
thf(zip_derived_cl1140,plain,
! [X0: $i,X1: $i] :
( ( ( c_Rings_Oinverse__class_Oinverse @ X0 @ X1 )
= ( c_Rings_Oinverse__class_Odivide @ X0 @ ( c_Groups_Oone__class_Oone @ X0 ) @ X1 ) )
| ~ ( class_Rings_Odivision__ring @ X0 ) ),
inference(cnf,[status(esa)],[fact_inverse__eq__divide]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1760,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_real__norm__def,axiom,
! [V_r: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ V_r )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_r ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl1785,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1760,zip_derived_cl52]) ).
thf(fact_abs__minus__add__cancel,axiom,
! [V_y: $i,V_x: $i] :
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ V_x @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_y ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ V_y @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_x ) ) ) ) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X1 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X0 ) ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ) ),
inference(cnf,[status(esa)],[fact_abs__minus__add__cancel]) ).
thf(zip_derived_cl52_001,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl52_002,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl1798,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X1 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X0 ) ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl52,zip_derived_cl52]) ).
thf(fact_real__diff__def,axiom,
! [V_s: $i,V_r: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ V_r @ V_s )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ V_r @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_s ) ) ) ).
thf(zip_derived_cl268,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_real__diff__def]) ).
thf(zip_derived_cl268_003,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_real__diff__def]) ).
thf(zip_derived_cl1808,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X1 @ X0 ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl268,zip_derived_cl268]) ).
thf(zip_derived_cl1812,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1785,zip_derived_cl1808]) ).
thf(fact_number__of__is__id,axiom,
! [V_k: $i] :
( ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint @ V_k )
= V_k ) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_number__of__is__id]) ).
thf(fact_one__add__one__is__two,axiom,
! [T_a: $i] :
( ( class_Int_Onumber__ring @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Oone__class_Oone @ T_a ) @ ( c_Groups_Oone__class_Oone @ T_a ) )
= ( c_Int_Onumber__class_Onumber__of @ T_a @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ ( c_Groups_Oone__class_Oone @ X0 ) @ ( c_Groups_Oone__class_Oone @ X0 ) )
= ( c_Int_Onumber__class_Onumber__of @ X0 @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) )
| ~ ( class_Int_Onumber__ring @ X0 ) ),
inference(cnf,[status(esa)],[fact_one__add__one__is__two]) ).
thf(zip_derived_cl2136,plain,
( ( ( c_Groups_Oplus__class_Oplus @ tc_Int_Oint @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) )
= ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) )
| ~ ( class_Int_Onumber__ring @ tc_Int_Oint ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl154,zip_derived_cl8]) ).
thf(fact_Bit0__def,axiom,
! [V_k: $i] :
( ( c_Int_OBit0 @ V_k )
= ( c_Groups_Oplus__class_Oplus @ tc_Int_Oint @ V_k @ V_k ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( c_Int_OBit0 @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Int_Oint @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_Bit0__def]) ).
thf(arity_Int__Oint__Int_Onumber__ring,axiom,
class_Int_Onumber__ring @ tc_Int_Oint ).
thf(zip_derived_cl1625,plain,
class_Int_Onumber__ring @ tc_Int_Oint,
inference(cnf,[status(esa)],[arity_Int__Oint__Int_Onumber__ring]) ).
thf(zip_derived_cl2143,plain,
( ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) )
= ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2136,zip_derived_cl40,zip_derived_cl1625]) ).
thf(fact_rel__simps_I48_J,axiom,
! [V_l_2: $i,V_k_2: $i] :
( ( ( c_Int_OBit0 @ V_k_2 )
= ( c_Int_OBit0 @ V_l_2 ) )
<=> ( V_k_2 = V_l_2 ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( c_Int_OBit0 @ X1 )
!= ( c_Int_OBit0 @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_rel__simps_I48_J]) ).
thf(zip_derived_cl2249,plain,
! [X0: $i] :
( ( ( c_Int_OBit1 @ c_Int_OPls )
= X0 )
| ( ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) )
!= ( c_Int_OBit0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2143,zip_derived_cl90]) ).
thf(zip_derived_cl2271,plain,
( ( c_Int_OBit1 @ c_Int_OPls )
= ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2249]) ).
thf(zip_derived_cl115578,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1812,zip_derived_cl2271]) ).
thf(fact_pos__divide__less__eq,axiom,
! [V_a_2: $i,V_b_2: $i,V_c_2: $i,T_a: $i] :
( ( class_Fields_Olinordered__field @ T_a )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_c_2 )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Rings_Oinverse__class_Odivide @ T_a @ V_b_2 @ V_c_2 ) @ V_a_2 )
<=> ( c_Orderings_Oord__class_Oless @ T_a @ V_b_2 @ ( c_Groups_Otimes__class_Otimes @ T_a @ V_a_2 @ V_c_2 ) ) ) ) ) ).
thf(zip_derived_cl1314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ~ ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ ( c_Groups_Otimes__class_Otimes @ X0 @ X3 @ X1 ) )
| ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Rings_Oinverse__class_Odivide @ X0 @ X2 @ X1 ) @ X3 )
| ~ ( class_Fields_Olinordered__field @ X0 ) ),
inference(cnf,[status(esa)],[fact_pos__divide__less__eq]) ).
thf(zip_derived_cl115605,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) )
| ~ ( class_Fields_Olinordered__field @ tc_RealDef_Oreal ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl115578,zip_derived_cl1314]) ).
thf(fact_real__of__nat__Suc__gt__zero,axiom,
! [V_n: $i] : ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ V_n ) ) ) ).
thf(zip_derived_cl274,plain,
! [X0: $i] : ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_real__of__nat__Suc__gt__zero]) ).
thf(fact_real__mult__commute,axiom,
! [V_w: $i,V_z: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ V_z @ V_w )
= ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ V_w @ V_z ) ) ).
thf(zip_derived_cl312,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X1 @ X0 )
= ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_real__mult__commute]) ).
thf(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
class_Fields_Olinordered__field @ tc_RealDef_Oreal ).
thf(zip_derived_cl1694,plain,
class_Fields_Olinordered__field @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).
thf(zip_derived_cl115657,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl115605,zip_derived_cl274,zip_derived_cl312,zip_derived_cl1694]) ).
thf(zip_derived_cl1313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Rings_Oinverse__class_Odivide @ X0 @ X2 @ X1 ) @ X3 )
| ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ ( c_Groups_Otimes__class_Otimes @ X0 @ X3 @ X1 ) )
| ~ ( class_Fields_Olinordered__field @ X0 ) ),
inference(cnf,[status(esa)],[fact_pos__divide__less__eq]) ).
thf(zip_derived_cl122126,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) )
| ~ ( class_Fields_Olinordered__field @ tc_RealDef_Oreal ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl115657,zip_derived_cl1313]) ).
thf(fact_e2,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ).
thf(zip_derived_cl2,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ),
inference(cnf,[status(esa)],[fact_e2]) ).
thf(zip_derived_cl52_004,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl1771,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl52]) ).
thf(zip_derived_cl1808_005,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X1 @ X0 ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl268,zip_derived_cl268]) ).
thf(zip_derived_cl1813,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1771,zip_derived_cl1808]) ).
thf(zip_derived_cl2271_006,plain,
( ( c_Int_OBit1 @ c_Int_OPls )
= ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2249]) ).
thf(zip_derived_cl80709,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1813,zip_derived_cl2271]) ).
thf(zip_derived_cl1694_007,plain,
class_Fields_Olinordered__field @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).
thf(zip_derived_cl122167,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122126,zip_derived_cl80709,zip_derived_cl1694]) ).
thf(zip_derived_cl127160,plain,
( ~ ( class_Rings_Odivision__ring @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1140,zip_derived_cl122167]) ).
thf(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
class_Rings_Odivision__ring @ tc_RealDef_Oreal ).
thf(zip_derived_cl1703,plain,
class_Rings_Odivision__ring @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Odivision__ring]) ).
thf(zip_derived_cl127174,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Oinverse @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl127160,zip_derived_cl1703]) ).
thf(zip_derived_cl128766,plain,
( ~ ( class_Fields_Ofield__inverse__zero @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1207,zip_derived_cl127174]) ).
thf(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
class_Fields_Ofield__inverse__zero @ tc_RealDef_Oreal ).
thf(zip_derived_cl1689,plain,
class_Fields_Ofield__inverse__zero @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Ofield__inverse__zero]) ).
thf(fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ).
thf(zip_derived_cl0,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ),
inference(cnf,[status(esa)],[fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096]) ).
thf(zip_derived_cl52_008,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl1769,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl52]) ).
thf(zip_derived_cl1808_009,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X1 @ X0 ) )
= ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl268,zip_derived_cl268]) ).
thf(zip_derived_cl1809,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1769,zip_derived_cl1808]) ).
thf(zip_derived_cl2271_010,plain,
( ( c_Int_OBit1 @ c_Int_OPls )
= ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2249]) ).
thf(zip_derived_cl101431,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Int_Onumber__class_Onumber__of @ tc_RealDef_Oreal @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ ( c_Groups_Ominus__class_Ominus @ tc_RealDef_Oreal @ ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ v_s____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p @ v_z____ ) ) ) ) ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1809,zip_derived_cl2271]) ).
thf(zip_derived_cl128776,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl128766,zip_derived_cl1689,zip_derived_cl101431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW227+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UthtniOXji true
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Sun Aug 27 18:05:30 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.10/0.28 % Running portfolio for 300 s
% 0.10/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29 % Number of cores: 8
% 0.10/0.29 % Python version: Python 3.6.8
% 0.10/0.29 % Running in FO mode
% 0.13/0.47 % Total configuration time : 435
% 0.13/0.47 % Estimated wc time : 1092
% 0.13/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.53 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.53 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 199.92/29.02 % Solved by fo/fo13.sh.
% 199.92/29.02 % done 2705 iterations in 28.460s
% 199.92/29.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 199.92/29.02 % SZS output start Refutation
% See solution above
% 199.92/29.02
% 199.92/29.02
% 199.92/29.02 % Terminating...
% 200.70/29.14 % Runner terminated.
% 200.70/29.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------