%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW222+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:11:33 AM UTC 2026
% Result : Theorem 116.19s 27.98s
% Output : CNFRefutation 116.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 34
% Syntax : Number of formulae : 141 ( 78 unt; 0 def)
% Number of atoms : 240 ( 83 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 173 ( 74 ~; 68 |; 5 &)
% ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 111 ( 1 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_w,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz')),'v$ud') ).
fof(fact_e,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')))) ).
fof(fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096,axiom,
( ( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz')),'v$ud')
& 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz'))) )
=> 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))) ) ).
fof(fact_norm__zero,axiom,
! [X0] :
( 'class$uRealVector$uOreal$u$unormed$u$uvector'(X0)
=> 'c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,'c$uGroups$uOzero$u$uclass$uOzero'(X0)) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ) ).
fof(fact_real__norm__def,axiom,
! [X0] : 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal',X0) = 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X0) ).
fof(fact_zero__less__norm__iff,axiom,
! [X0,X1] :
( 'class$uRealVector$uOreal$u$unormed$u$uvector'(X1)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'(X1,X0))
<=> X0 != 'c$uGroups$uOzero$u$uclass$uOzero'(X1) ) ) ).
fof(fact_norm__not__less__zero,axiom,
! [X0,X1] :
( 'class$uRealVector$uOreal$u$unormed$u$uvector'(X1)
=> ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'(X1,X0),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) ) ).
fof(fact_linorder__neqE__linordered__idom,axiom,
! [X0,X1,X2] :
( 'class$uRings$uOlinordered$u$uidom'(X2)
=> ( X1 != X0
=> ( ~ 'c$uOrderings$uOord$u$uclass$uOless'(X2,X1,X0)
=> 'c$uOrderings$uOord$u$uclass$uOless'(X2,X0,X1) ) ) ) ).
fof(fact_half__gt__zero,axiom,
! [X0,X1] :
( ( 'class$uInt$uOnumber$u$uring'(X1)
& 'class$uFields$uOlinordered$u$ufield$u$uinverse$u$uzero'(X1) )
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X1,'c$uGroups$uOzero$u$uclass$uOzero'(X1),X0)
=> 'c$uOrderings$uOord$u$uclass$uOless'(X1,'c$uGroups$uOzero$u$uclass$uOzero'(X1),'c$uRings$uOinverse$u$uclass$uOdivide'(X1,X0,'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'(X1,'c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))) ) ) ).
fof(fact_real__abs__def,axiom,
! [X0] :
( ( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
=> 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X0) = X0 )
& ( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
=> 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X0) = 'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0) ) ) ).
fof(fact_diff__eq__diff__eq,axiom,
! [X0,X1,X2,X3,X4] :
( 'class$uGroups$uOab$u$ugroup$u$uadd'(X4)
=> ( 'c$uGroups$uOminus$u$uclass$uOminus'(X4,X3,X2) = 'c$uGroups$uOminus$u$uclass$uOminus'(X4,X1,X0)
=> ( X3 = X2
<=> X1 = X0 ) ) ) ).
fof(fact_minus__minus,axiom,
! [X0,X1] :
( 'class$uGroups$uOgroup$u$uadd'(X1)
=> 'c$uGroups$uOuminus$u$uclass$uOuminus'(X1,'c$uGroups$uOuminus$u$uclass$uOuminus'(X1,X0)) = X0 ) ).
fof(fact_diff__0__right,axiom,
! [X0,X1] :
( 'class$uGroups$uOgroup$u$uadd'(X1)
=> 'c$uGroups$uOminus$u$uclass$uOminus'(X1,X0,'c$uGroups$uOzero$u$uclass$uOzero'(X1)) = X0 ) ).
fof(fact_diff__self,axiom,
! [X0,X1] :
( 'class$uGroups$uOgroup$u$uadd'(X1)
=> 'c$uGroups$uOminus$u$uclass$uOminus'(X1,X0,X0) = 'c$uGroups$uOzero$u$uclass$uOzero'(X1) ) ).
fof(fact_eq__iff__diff__eq__0,axiom,
! [X0,X1,X2] :
( 'class$uGroups$uOab$u$ugroup$u$uadd'(X2)
=> ( X1 = X0
<=> 'c$uGroups$uOminus$u$uclass$uOminus'(X2,X1,X0) = 'c$uGroups$uOzero$u$uclass$uOzero'(X2) ) ) ).
fof(fact_minus__real__def,axiom,
! [X0,X1] : 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X1,X0) = 'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X1,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0)) ).
fof(fact_abs__minus__add__cancel,axiom,
! [X0,X1] : 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X1,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0))) = 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1))) ).
fof(fact_abs__of__nonpos,axiom,
! [X0,X1] :
( 'class$uGroups$uOordered$u$uab$u$ugroup$u$uadd$u$uabs'(X1)
=> ( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'(X1,X0,'c$uGroups$uOzero$u$uclass$uOzero'(X1))
=> 'c$uGroups$uOabs$u$uclass$uOabs'(X1,X0) = 'c$uGroups$uOuminus$u$uclass$uOuminus'(X1,X0) ) ) ).
fof(fact_real__less__def,axiom,
! [X0,X1] :
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X1,X0)
<=> ( X1 != X0
& 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0) ) ) ).
fof(fact_abs__le__interval__iff,axiom,
! [X0,X1] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X1),X0)
<=> ( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0)
& 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0),X1) ) ) ).
fof(fact_real__le__trans,axiom,
! [X0,X1,X2] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X2,X1)
=> ( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0)
=> 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X2,X0) ) ) ).
fof(fact_real__le__linear,axiom,
! [X0,X1] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X1)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0) ) ).
fof(fact_real__le__refl,axiom,
! [X0] : 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X0) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
'class$uFields$uOlinordered$u$ufield$u$uinverse$u$uzero'('tc$uRealDef$uOreal') ).
fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
'class$uGroups$uOordered$u$uab$u$ugroup$u$uadd$u$uabs'('tc$uRealDef$uOreal') ).
fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uRealDef$uOreal') ).
fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
'class$uRings$uOlinordered$u$uidom'('tc$uRealDef$uOreal') ).
fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
'class$uGroups$uOab$u$ugroup$u$uadd'('tc$uRealDef$uOreal') ).
fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
'class$uGroups$uOgroup$u$uadd'('tc$uRealDef$uOreal') ).
fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
'class$uInt$uOnumber$u$uring'('tc$uRealDef$uOreal') ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uComplex$uOcomplex') ).
fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
'class$uGroups$uOab$u$ugroup$u$uadd'('tc$uComplex$uOcomplex') ).
fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
'class$uGroups$uOgroup$u$uadd'('tc$uComplex$uOcomplex') ).
fof(conj_0,conjecture,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c1,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz')),'v$ud'),
inference(clausification,[status(esa)],[fact_w]) ).
cnf(c2,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')))),
inference(clausification,[status(esa)],[fact_e]) ).
cnf(c3,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')))))
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz')))
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz')),'v$ud') ),
inference(clausification,[status(esa)],[fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096]) ).
cnf(c19,plain,
( 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,'c$uGroups$uOzero$u$uclass$uOzero'(X0))
| ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'(X0) ),
inference(clausification,[status(esa)],[fact_norm__zero]) ).
cnf(c36,plain,
'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X0) = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal',X0),
inference(clausification,[status(esa)],[fact_real__norm__def]) ).
cnf(c39,plain,
( 'c$uGroups$uOzero$u$uclass$uOzero'(X0) = X1
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,X1))
| ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'(X0) ),
inference(clausification,[status(esa)],[fact_zero__less__norm__iff]) ).
cnf(c56,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,X1),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'(X0) ),
inference(clausification,[status(esa)],[fact_norm__not__less__zero]) ).
cnf(c65,plain,
( X2 = X1
| 'c$uOrderings$uOord$u$uclass$uOless'(X0,X2,X1)
| 'c$uOrderings$uOord$u$uclass$uOless'(X0,X1,X2)
| ~ 'class$uRings$uOlinordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[fact_linorder__neqE__linordered__idom]) ).
cnf(c70,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,'c$uGroups$uOzero$u$uclass$uOzero'(X0),X1)
| 'c$uOrderings$uOord$u$uclass$uOless'(X0,'c$uGroups$uOzero$u$uclass$uOzero'(X0),'c$uRings$uOinverse$u$uclass$uOdivide'(X0,X1,'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'(X0,'c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')))))
| ~ 'class$uFields$uOlinordered$u$ufield$u$uinverse$u$uzero'(X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0) ),
inference(clausification,[status(esa)],[fact_half__gt__zero]) ).
cnf(c92,plain,
( 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X0) = X0
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) ),
inference(clausification,[status(esa)],[fact_real__abs__def]) ).
cnf(c131,plain,
( 'c$uGroups$uOminus$u$uclass$uOminus'(X0,X4,X3) != 'c$uGroups$uOminus$u$uclass$uOminus'(X0,X2,X1)
| X3 = X4
| X1 != X2
| ~ 'class$uGroups$uOab$u$ugroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[fact_diff__eq__diff__eq]) ).
cnf(c133,plain,
( 'c$uGroups$uOuminus$u$uclass$uOuminus'(X0,'c$uGroups$uOuminus$u$uclass$uOuminus'(X0,X1)) = X1
| ~ 'class$uGroups$uOgroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[fact_minus__minus]) ).
cnf(c145,plain,
( 'c$uGroups$uOminus$u$uclass$uOminus'(X0,X1,'c$uGroups$uOzero$u$uclass$uOzero'(X0)) = X1
| ~ 'class$uGroups$uOgroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[fact_diff__0__right]) ).
cnf(c146,plain,
( 'c$uGroups$uOzero$u$uclass$uOzero'(X0) = 'c$uGroups$uOminus$u$uclass$uOminus'(X0,X1,X1)
| ~ 'class$uGroups$uOgroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[fact_diff__self]) ).
cnf(c148,plain,
( 'c$uGroups$uOzero$u$uclass$uOzero'(X0) != 'c$uGroups$uOminus$u$uclass$uOminus'(X0,X2,X1)
| X1 = X2
| ~ 'class$uGroups$uOab$u$ugroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[fact_eq__iff__diff__eq__0]) ).
cnf(c293,plain,
'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1)) = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X0,X1),
inference(clausification,[status(esa)],[fact_minus__real__def]) ).
cnf(c295,plain,
'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1))) = 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X1,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0))),
inference(clausification,[status(esa)],[fact_abs__minus__add__cancel]) ).
cnf(c304,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'(X0,X1,'c$uGroups$uOzero$u$uclass$uOzero'(X0))
| 'c$uGroups$uOuminus$u$uclass$uOuminus'(X0,X1) = 'c$uGroups$uOabs$u$uclass$uOabs'(X0,X1)
| ~ 'class$uGroups$uOordered$u$uab$u$ugroup$u$uadd$u$uabs'(X0) ),
inference(clausification,[status(esa)],[fact_abs__of__nonpos]) ).
cnf(c507,plain,
( X1 != X0
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,X1) ),
inference(clausification,[status(esa)],[fact_real__less__def]) ).
cnf(c590,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1),X0)
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal',X0),X1) ),
inference(clausification,[status(esa)],[fact_abs__le__interval__iff]) ).
cnf(c734,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X2)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X2)
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X1) ),
inference(clausification,[status(esa)],[fact_real__le__trans]) ).
cnf(c735,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X1) ),
inference(clausification,[status(esa)],[fact_real__le__linear]) ).
cnf(c736,plain,
'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X0),
inference(clausification,[status(esa)],[fact_real__le__refl]) ).
cnf(c1260,plain,
'class$uFields$uOlinordered$u$ufield$u$uinverse$u$uzero'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
cnf(c1263,plain,
'class$uGroups$uOordered$u$uab$u$ugroup$u$uadd$u$uabs'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).
cnf(c1265,plain,
'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
cnf(c1270,plain,
'class$uRings$uOlinordered$u$uidom'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Rings_Olinordered__idom]) ).
cnf(c1274,plain,
'class$uGroups$uOab$u$ugroup$u$uadd'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Groups_Oab__group__add]) ).
cnf(c1276,plain,
'class$uGroups$uOgroup$u$uadd'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
cnf(c1279,plain,
'class$uInt$uOnumber$u$uring'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
cnf(c1286,plain,
'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c1293,plain,
'class$uGroups$uOab$u$ugroup$u$uadd'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[arity_Complex__Ocomplex__Groups_Oab__group__add]) ).
cnf(c1295,plain,
'class$uGroups$uOgroup$u$uadd'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
cnf(c1320,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')),
inference(resolution,[status(thm)],[c19,c1265]) ).
cnf(d1,plain,
'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0)) = X0,
inference(resolution,[status(thm)],[c133,c1276]) ).
cnf(d2,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1),X0)
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal',X0),X1) ),
inference(demodulation,[status(thm)],[c590,c36]) ).
cnf(d3,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal',X0) = X0 ),
inference(demodulation,[status(thm)],[c92,c36]) ).
cnf(d4,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz')))
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))) ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(d5,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz'))),
inference(resolution,[status(thm)],[c1320,d4]) ).
cnf(d6,plain,
( ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uComplex$uOcomplex')
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz') ),
inference(resolution,[status(thm)],[c39,d5]) ).
cnf(d7,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uwa','v$uz'),
inference(resolution,[status(thm)],[c1286,d6]) ).
cnf(d8,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'))),
inference(demodulation,[status(thm)],[d5,d7]) ).
cnf(d9,plain,
( ~ 'class$uRings$uOlinordered$u$uidom'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c65,d8]) ).
cnf(d10,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c1270,d9]) ).
cnf(d11,plain,
( ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uComplex$uOcomplex')
| 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d10,c56]) ).
cnf(d12,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c1286,d11]) ).
cnf(d13,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',X0,X0),
inference(resolution,[status(thm)],[c146,c1295]) ).
cnf(d14,plain,
( ~ 'class$uGroups$uOab$u$ugroup$u$uadd'('tc$uComplex$uOcomplex')
| 'v$uz' = 'v$uwa'
| X1 != X0
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',X0,X1) ),
inference(superposition,[status(thm)],[d7,c131]) ).
cnf(d15,plain,
( 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',X1,X0)
| 'v$uz' = 'v$uwa'
| X0 != X1 ),
inference(resolution,[status(thm)],[c1293,d14]) ).
cnf(d16,plain,
'c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',X0,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')) = X0,
inference(resolution,[status(thm)],[c145,c1295]) ).
cnf(d17,plain,
( 'v$uz' = 'v$uwa'
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != X0
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != X0 ),
inference(superposition,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
'v$uz' = 'v$uwa',
inference(equality_resolution,[status(thm)],[d17]) ).
cnf(d19,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(demodulation,[status(thm)],[c1320,c36]) ).
cnf(d20,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(demodulation,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'),hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'))),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(demodulation,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(demodulation,[status(thm)],[d21,d13]) ).
cnf(d23,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('tc$uRealDef$uOreal','c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls'))))),
inference(demodulation,[status(thm)],[d22,d12]) ).
cnf(d24,plain,
( ~ 'class$uFields$uOlinordered$u$ufield$u$uinverse$u$uzero'('tc$uRealDef$uOreal')
| ~ 'class$uInt$uOnumber$u$uring'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')))) ),
inference(resolution,[status(thm)],[d23,c70]) ).
cnf(d25,plain,
( ~ 'class$uInt$uOnumber$u$uring'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')))) ),
inference(resolution,[status(thm)],[c1260,d24]) ).
cnf(d26,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')))),
inference(resolution,[status(thm)],[c1279,d25]) ).
cnf(d27,plain,
( ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uRealDef$uOreal')
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')) ),
inference(resolution,[status(thm)],[d26,c39]) ).
cnf(d28,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')),
inference(resolution,[status(thm)],[c1265,d27]) ).
cnf(d29,plain,
( ~ 'class$uGroups$uOab$u$ugroup$u$uadd'('tc$uRealDef$uOreal')
| 'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'))
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(superposition,[status(thm)],[d28,c148]) ).
cnf(d30,plain,
( 'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'))
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c1274,d29]) ).
cnf(d31,plain,
( ~ 'class$uRings$uOlinordered$u$uidom'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')) ),
inference(resolution,[status(thm)],[c65,d8]) ).
cnf(d32,plain,
( ~ 'class$uRings$uOlinordered$u$uidom'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex')),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(demodulation,[status(thm)],[d31,d12]) ).
cnf(d33,plain,
( ~ 'class$uRings$uOlinordered$u$uidom'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(demodulation,[status(thm)],[d32,d12]) ).
cnf(d34,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c1270,d33]) ).
cnf(d35,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,X0),
inference(equality_resolution,[status(thm)],[c507]) ).
cnf(d36,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),
inference(resolution,[status(thm)],[d36,d30]) ).
cnf(d38,plain,
( ~ 'class$uRealVector$uOreal$u$unormed$u$uvector'('tc$uComplex$uOcomplex')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) ),
inference(superposition,[status(thm)],[d37,c56]) ).
cnf(d39,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')),
inference(resolution,[status(thm)],[c1286,d38]) ).
cnf(d40,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')) = 'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),
inference(resolution,[status(thm)],[d39,d3]) ).
cnf(d41,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),X0) ),
inference(superposition,[status(thm)],[d40,d2]) ).
cnf(d42,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0))
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')) ),
inference(superposition,[status(thm)],[d1,d41]) ).
cnf(d43,plain,
'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')),
inference(resolution,[status(thm)],[d42,c736]) ).
cnf(d44,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us',X0)
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),X0) ),
inference(resolution,[status(thm)],[c734,d43]) ).
cnf(d45,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'))
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us',X0) ),
inference(resolution,[status(thm)],[d44,c735]) ).
cnf(d46,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')),X0)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal',X0)) ),
inference(resolution,[status(thm)],[d45,d2]) ).
cnf(d47,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal',X0))
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us',X0) ),
inference(demodulation,[status(thm)],[d46,d1]) ).
cnf(d48,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','v$us','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) ),
inference(superposition,[status(thm)],[d0,d47]) ).
cnf(d49,plain,
( ~ 'class$uGroups$uOordered$u$uab$u$ugroup$u$uadd$u$uabs'('tc$uRealDef$uOreal')
| 'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us') = 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','v$us') ),
inference(resolution,[status(thm)],[d48,c304]) ).
cnf(d50,plain,
( ~ 'class$uGroups$uOordered$u$uab$u$ugroup$u$uadd$u$uabs'('tc$uRealDef$uOreal')
| 'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us') ),
inference(demodulation,[status(thm)],[d49,c36]) ).
cnf(d51,plain,
'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),
inference(resolution,[status(thm)],[c1263,d50]) ).
cnf(d52,plain,
'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us')) = 'v$us',
inference(superposition,[status(thm)],[d51,d1]) ).
cnf(d53,plain,
'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X0,'v$us') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us')),
inference(superposition,[status(thm)],[d52,c293]) ).
cnf(d54,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')),
inference(demodulation,[status(thm)],[d28,d37]) ).
cnf(d55,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')),
inference(demodulation,[status(thm)],[d54,d51]) ).
cnf(d56,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us')),
inference(demodulation,[status(thm)],[d55,d51]) ).
cnf(d57,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') = 'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'v$us'),
inference(demodulation,[status(thm)],[d56,d53]) ).
cnf(d58,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa')),
inference(demodulation,[status(thm)],[d37,d51]) ).
cnf(d59,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1))) = 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X1,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0))),
inference(demodulation,[status(thm)],[c295,c36]) ).
cnf(d60,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X0,X1)) = 'c$uGroups$uOabs$u$uclass$uOabs'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X1,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X0))),
inference(demodulation,[status(thm)],[d59,c293]) ).
cnf(d61,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X1,X0)) = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal',X0,'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal',X1))),
inference(demodulation,[status(thm)],[d60,c36]) ).
cnf(d62,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X1,X0)) = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal',X0,X1)),
inference(demodulation,[status(thm)],[d61,c293]) ).
cnf(d63,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz')),'c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us')))),
inference(demodulation,[status(thm)],[c2,c36]) ).
cnf(d64,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))))),
inference(demodulation,[status(thm)],[d63,d62]) ).
cnf(d65,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uz'))))),
inference(demodulation,[status(thm)],[d64,d51]) ).
cnf(d66,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),'v$uwa'))))),
inference(demodulation,[status(thm)],[d65,d18]) ).
cnf(d67,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOminus$u$uclass$uOminus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us')))),
inference(demodulation,[status(thm)],[d66,d58]) ).
cnf(d68,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','v$us'),'v$us'))),
inference(demodulation,[status(thm)],[d67,d53]) ).
cnf(d69,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'))),
inference(demodulation,[status(thm)],[d68,d57]) ).
cnf(d70,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')),
inference(demodulation,[status(thm)],[d69,d0]) ).
cnf(d71,plain,
$false,
inference(resolution,[status(thm)],[d35,d70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW222+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 15:29:47 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 116.19/27.98 % SZS status Theorem for theBenchmark.p
% 116.19/27.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------