%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG400-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 11:49:20 AM UTC 2026
% Result : Unsatisfiable 4.45s 1.02s
% Output : CNFRefutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 285
% Syntax : Number of formulae : 841 ( 55 unt; 185 def)
% Number of atoms : 3117 ( 177 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 4182 (1906 ~;2091 |; 0 &)
% ( 185 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 200 ( 198 usr; 186 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 1396 (1396 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [T_a,V_w,V_b] :
( c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
| c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [T_a,V_b,V_w] :
( c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a)
| c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [T_a,V_w,V_b] :
( c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
| c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [T_a,V_b,V_c,V_w] :
( V_c = c_HOL_Ozero__class_Ozero(T_a)
| V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a)
| c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [T_a,V_w,V_c] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
| c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [T_a,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [T_a,V_b,V_a,V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [T_a,V_b,V_a,V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_lessequals(V_b,V_a,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_lessequals(V_a,V_b,T_a)
| ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
! [T_a,V_b,V_a,V_c] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [T_a,V_a,V_c,V_b] :
( ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [T_a,V_x,V_y,V_z] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,axiom,
! [T_a,V_z,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
| c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,axiom,
! [T_a,V_b,V_c,V_a] :
( ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,axiom,
! [T_a,V_b,V_c,V_a] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [T_a,V_b,V_c,V_a] :
( ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [T_a,V_a,V_b,V_c] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [T_a,V_a,V_c,V_b] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [T_a,V_b,V_c,V_a] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [T_a,V_b,V_a,V_c] :
( ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [T_a,V_a,V_b,V_c] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,axiom,
! [T_a,V_a,V_b] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,axiom,
! [T_a,V_x,V_y,V_z] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [T_a,V_x,V_y,V_z,V_w] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [T_a,V_b,V_c,V_a] :
( ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f122,axiom,
! [T_a,V_y,V_x] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
| ~ class_Ring__and__Field_Oordered__idom(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [T_a,V_x,V_y] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
| ~ class_Ring__and__Field_Oordered__idom(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f124,axiom,
! [T_a,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ c_lessequals(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f132,axiom,
! [T_a,V_x,V_y] :
( ~ c_lessequals(V_x,V_y,T_a)
| V_x = V_y
| c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f166,axiom,
! [T_a,V_a,V_c,V_b] :
( ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [T_a,V_a,V_c,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f168,axiom,
! [T_a,V_a,V_c,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f171,axiom,
! [T_a,V_c,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [T_a,V_a,V_b,V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f177,axiom,
! [T_a,V_b,V_a,V_c] :
( ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f182,axiom,
! [T_a,V_c] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f185,axiom,
! [T_a,V_a,V_b] :
( ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,axiom,
! [T_a,V_a,V_b] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,axiom,
! [T_a,V_b,V_c] :
( V_c = c_HOL_Ozero__class_Ozero(T_a)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,axiom,
! [T_a,V_b,V_a] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,axiom,
! [T_a,V_a,V_b] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,axiom,
! [T_a,V_b,V_a] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f208,axiom,
! [T_a,V_a] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f209,axiom,
! [T_a,V_a] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f211,axiom,
! [T_a,V_a] :
( ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f213,axiom,
! [T_a,V_x] :
( ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
| c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f214,axiom,
! [T_a,V_x] :
( ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f252,axiom,
! [T_a,V_b] :
( ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f254,axiom,
! [T_a,V_b] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f257,axiom,
! [T_a,V_b,V_a] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f258,axiom,
! [T_a,V_b,V_a] :
( ~ c_lessequals(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f259,axiom,
! [T_a,V_b,V_a] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f263,axiom,
! [T_a,V_x] :
( ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f264,axiom,
! [T_a,V_x] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f368,axiom,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,axiom,
! [T_a,V_x] :
( ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f370,axiom,
! [T_a,V_x] :
( ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f371,axiom,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f373,axiom,
! [V_z] : c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f374,axiom,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f385,axiom,
! [T_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f397,axiom,
! [V_x] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f404,axiom,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f405,axiom,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f406,axiom,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f415,axiom,
c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f428,axiom,
! [T_a] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f438,axiom,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f458,axiom,
! [T_a,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f460,axiom,
! [T_a,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f467,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f468,negated_conjecture,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f525,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f527,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f529,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f535,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f536,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f543,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f547,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f552,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f554,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f555,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f558,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f563,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f574,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f577,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f605,plain,
! [T_a,V_w] :
( ! [V_b] : c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
| c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f606,plain,
! [X0,X1,X2] :
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
| c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_Int_Onumber(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f607,plain,
! [T_a,V_w] :
( c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a)
| ! [V_b] : c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f608,plain,
! [X0,X1,X2] :
( c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
| ~ class_Int_Onumber(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f609,plain,
! [T_a,V_w] :
( ! [V_b] : c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
| c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f610,plain,
! [X0,X1,X2] :
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
| c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_Int_Onumber(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f637,plain,
! [T_a,V_c] :
( V_c = c_HOL_Ozero__class_Ozero(T_a)
| ! [V_b,V_w] :
( V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a)
| c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f638,plain,
! [X0,X1,X2,X3] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| X1 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X0),X2,X0)
| c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
| ~ class_Int_Onumber(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f637]) ).
fof(f649,plain,
! [T_a,V_w] :
( ! [V_c] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
| c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Int_Onumber(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f650,plain,
! [X0,X1,X2] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X0),X2,X0),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
| c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_Int_Onumber(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f725,plain,
! [T_a,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| ! [V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f726,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f728,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f729,plain,
! [T_a,V_a] :
( ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ! [V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f729]) ).
fof(f735,plain,
! [T_a,V_c] :
( ! [V_a,V_b] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f736,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f735]) ).
fof(f737,plain,
! [T_a,V_c] :
( ! [V_a,V_b] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f738,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f739,plain,
! [T_a] :
( ! [V_a] : ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f740,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f739]) ).
fof(f741,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f742,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| c_HOL_Oord__class_Oless(X2,X3,X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f743,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f744,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
| c_HOL_Oord__class_Oless(X2,X3,X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f745,plain,
! [T_a,V_a,V_b] :
( ~ c_lessequals(V_b,V_a,T_a)
| ! [V_c] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f746,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X3,X2,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f745]) ).
fof(f747,plain,
! [T_a,V_a,V_b] :
( ~ c_lessequals(V_a,V_b,T_a)
| ! [V_c] :
( ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f748,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X2,X3,X0)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f747]) ).
fof(f749,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f751,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f753,plain,
! [T_a,V_y] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ! [V_x,V_z] :
( ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f754,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f753]) ).
fof(f755,plain,
! [T_a,V_y] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ! [V_z,V_x] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
| c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f756,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f755]) ).
fof(f757,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),X1,X0)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f758,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f759,plain,
! [T_a,V_c] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_b,V_a] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f760,plain,
! [X0,X1,X2,X3] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),X1,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f759]) ).
fof(f761,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f762,plain,
! [T_a,V_c] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_a,V_b] :
( ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f763,plain,
! [X0,X1,X2,X3] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f764,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f765,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f766,plain,
! [T_a,V_c] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_b,V_a] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f767,plain,
! [X0,X1,X2,X3] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),X1,X0)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f768,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f769,plain,
! [T_a,V_c] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_a,V_b] :
( ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
| ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f770,plain,
! [X0,X1,X2,X3] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f769]) ).
fof(f777,plain,
! [T_a] :
( ! [V_a,V_b] : c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f778,plain,
! [X0,X1,X2] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f777]) ).
fof(f779,plain,
! [T_a] :
( ! [V_x,V_y,V_z] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f780,plain,
! [X0,X1,X2,X3] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f781,plain,
! [T_a] :
( ! [V_x,V_y,V_z,V_w] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f782,plain,
! [X0,X1,X2,X3,X4] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f781]) ).
fof(f797,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),X1,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f798,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f799,plain,
! [T_a,V_x] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ! [V_y] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
| ~ class_Ring__and__Field_Oordered__idom(T_a) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f800,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[status(thm)],[f799]) ).
fof(f801,plain,
! [T_a,V_x] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
| ! [V_y] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
| ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
| c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
| ~ class_Ring__and__Field_Oordered__idom(T_a) ) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f803,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f811,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,X2,X0)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f853,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ! [V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f854,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f853]) ).
fof(f855,plain,
! [T_a,V_c] :
( ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ! [V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f166]) ).
fof(f856,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_HOL_Oord__class_Oless(X3,X1,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f857,plain,
! [T_a,V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f858,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_HOL_Oord__class_Oless(X1,X3,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f857]) ).
fof(f859,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ! [V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f860,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(X1,X3,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f859]) ).
fof(f863,plain,
! [T_a,V_c] :
( ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ! [V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f170]) ).
fof(f864,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_HOL_Oord__class_Oless(X3,X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f865,plain,
! [T_a,V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f866,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f865]) ).
fof(f873,plain,
! [T_a,V_c] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
| ! [V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f874,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f877,plain,
! [T_a,V_c] :
( ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ! [V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
| c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Ring__and__Field_Oordered__ring__strict(T_a) ) ),
inference(miniscoping,[status(thm)],[f177]) ).
fof(f878,plain,
! [X0,X1,X2,X3] :
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f884,plain,
! [T_a] :
( ! [V_c] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f182]) ).
fof(f885,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f884]) ).
fof(f888,plain,
! [T_a,V_a] :
( ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
| ! [V_b] :
( ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f185]) ).
fof(f889,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f890,plain,
! [T_a,V_a] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
| ! [V_b] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ) ),
inference(miniscoping,[status(thm)],[f186]) ).
fof(f891,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f890]) ).
fof(f892,plain,
! [T_a,V_c] :
( V_c = c_HOL_Ozero__class_Ozero(T_a)
| ! [V_b] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f187]) ).
fof(f893,plain,
! [X0,X1,X2] :
( X2 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f892]) ).
fof(f898,plain,
! [T_a,V_b] :
( ! [V_a] : ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
| ~ class_Ring__and__Field_Odivision__by__zero(T_a)
| ~ class_Ring__and__Field_Oordered__field(T_a) ),
inference(miniscoping,[status(thm)],[f190]) ).
fof(f899,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f898]) ).
fof(f900,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f901,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f930,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f931,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f934,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f936,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f937,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f998,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f1004,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f1005,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f1009,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f1010,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
| c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f1198,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f1200,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f1202,plain,
! [X0] : c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f1203,plain,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f1219,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f1232,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f1241,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f1242,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f1243,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f1255,plain,
c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f1278,plain,
! [X0] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f1293,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f1324,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f1326,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f1335,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f1336,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f1393,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f525]) ).
fof(f1395,plain,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f1397,plain,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f529]) ).
fof(f1403,plain,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f1404,plain,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f1411,plain,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f543]) ).
fof(f1415,plain,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f1420,plain,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f552]) ).
fof(f1422,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f1423,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f1426,plain,
class_Int_Onumber(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f1431,plain,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f1442,plain,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f1445,plain,
class_Int_Onumber(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f1473,definition,
( sQ0_spl
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( ~ sQ0_spl
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1473]) ).
fof(f1476,definition,
( sQ1_spl
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( ~ sQ1_spl
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1478,plain,
( sQ1_spl
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1335,f1473,f1476]) ).
fof(f1480,plain,
( sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1336,f1476,f1473]) ).
fof(f1481,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_Int_Onumber(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f606,f1403]) ).
fof(f1482,definition,
( sQ2_spl
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ2_spl
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,definition,
( sQ3_spl
<=> class_Int_Onumber(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( sQ3_spl
| ~ class_Int_Onumber(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1485]) ).
fof(f1488,definition,
! [X0,X1] :
( sQ4_spl
<=> ( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1491,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1481,f1482,f1485,f1488]) ).
fof(f1492,plain,
! [X0,X1] :
( c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal)
| ~ class_Int_Onumber(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f608,f1403]) ).
fof(f1493,definition,
! [X0,X1] :
( sQ5_spl
<=> ( c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
! [X0,X1] :
( ~ sQ5_spl
| c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1492,f1482,f1485,f1493]) ).
fof(f1497,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f1426]) ).
fof(f1498,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1484,f1420]) ).
fof(f1500,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1501,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_Int_Onumber(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f610,f1403]) ).
fof(f1502,definition,
! [X0,X1] :
( sQ6_spl
<=> ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( sQ6_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1501,f1482,f1485,f1502]) ).
fof(f1506,plain,
! [X0,X1,X2] :
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X0 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal)
| ~ class_Int_Onumber(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f638,f1403]) ).
fof(f1507,definition,
! [X0,X1,X2] :
( sQ7_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X0 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1510,plain,
( sQ7_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1506,f1482,f1485,f1507]) ).
fof(f1511,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_Int_Onumber(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f650,f1403]) ).
fof(f1512,definition,
! [X0,X1] :
( sQ8_spl
<=> ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1511,f1482,f1485,f1512]) ).
fof(f1516,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex)
| c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Int_Onumber(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f1431,f650]) ).
fof(f1517,plain,
! [X0,X1,X2] :
( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X0 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(X2,tc_Complex_Ocomplex)
| ~ class_Int_Onumber(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f1431,f638]) ).
fof(f1518,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex)
| c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Int_Onumber(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f1431,f610]) ).
fof(f1519,plain,
! [X0,X1] :
( c_Int_Onumber__class_Onumber__of(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(X1,tc_Complex_Ocomplex)
| ~ class_Int_Onumber(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f1431,f608]) ).
fof(f1520,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Int_Onumber(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f1431,f606]) ).
fof(f1521,definition,
( sQ9_spl
<=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1523,plain,
( sQ9_spl
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1524,definition,
( sQ10_spl
<=> class_Int_Onumber(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( sQ10_spl
| ~ class_Int_Onumber(tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f1524]) ).
fof(f1527,definition,
! [X0,X1] :
( sQ11_spl
<=> ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex)
| c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1530,plain,
( sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1516,f1521,f1524,f1527]) ).
fof(f1531,definition,
! [X0,X1,X2] :
( sQ12_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X0 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(X2,tc_Complex_Ocomplex) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( sQ12_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1517,f1521,f1524,f1531]) ).
fof(f1535,definition,
! [X0,X1] :
( sQ13_spl
<=> ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex)
| c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( sQ13_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1518,f1521,f1524,f1535]) ).
fof(f1539,definition,
! [X0,X1] :
( sQ14_spl
<=> ( c_Int_Onumber__class_Onumber__of(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(X1,tc_Complex_Ocomplex) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
( sQ14_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1519,f1521,f1524,f1539]) ).
fof(f1543,definition,
! [X0,X1] :
( sQ15_spl
<=> ( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Int_Onumber__class_Onumber__of(X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( sQ15_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1520,f1521,f1524,f1543]) ).
fof(f1547,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1526,f1445]) ).
fof(f1548,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1547]) ).
fof(f1549,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f1442]) ).
fof(f1550,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1623,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f1278,f1403]) ).
fof(f1690,plain,
c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(paramodulation,[status(thm)],[f1203,f1202]) ).
fof(f1726,definition,
( sQ52_spl
<=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1728,plain,
( sQ52_spl
| ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f1726]) ).
fof(f1798,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1200]) ).
fof(f1799,plain,
( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1199]) ).
fof(f1800,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1010]) ).
fof(f1801,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1005]) ).
fof(f1804,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1003]) ).
fof(f1808,definition,
( sQ67_spl
<=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1810,plain,
( sQ67_spl
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1808]) ).
fof(f1811,definition,
( sQ68_spl
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1813,plain,
( sQ68_spl
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1811]) ).
fof(f1814,definition,
( sQ69_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1817,definition,
( sQ70_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1818,plain,
( ~ sQ70_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1817]) ).
fof(f1820,definition,
( sQ71_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1823,plain,
( ~ sQ71_spl
| sQ70_spl
| sQ69_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1798,f1808,f1811,f1814,f1817,f1820]) ).
fof(f1824,definition,
( sQ72_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( ~ sQ72_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1824]) ).
fof(f1827,definition,
( sQ73_spl
<=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1830,plain,
( ~ sQ73_spl
| sQ72_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1799,f1808,f1811,f1824,f1827]) ).
fof(f1831,definition,
( sQ74_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1834,plain,
( ~ sQ74_spl
| sQ70_spl
| sQ73_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1800,f1808,f1811,f1827,f1817,f1831]) ).
fof(f1835,definition,
! [X0] :
( sQ75_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
( sQ75_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1801,f1808,f1835]) ).
fof(f1847,definition,
! [X0] :
( sQ78_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( sQ78_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1804,f1808,f1847]) ).
fof(f1854,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f1411]) ).
fof(f1855,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1854]) ).
fof(f1856,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1728,f1431]) ).
fof(f1857,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1856]) ).
fof(f1858,plain,
( sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1813,f1403]) ).
fof(f1859,plain,
sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1858]) ).
fof(f1860,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1825,f1232]) ).
fof(f1861,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1945,plain,
( ~ sQ70_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1818,f1000]) ).
fof(f1946,plain,
( ~ sQ70_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1818,f930]) ).
fof(f1947,plain,
( ~ sQ70_spl
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1818,f1198]) ).
fof(f1948,plain,
( ~ sQ70_spl
| c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1818,f1009]) ).
fof(f1949,plain,
( ~ sQ70_spl
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1818,f998]) ).
fof(f1950,plain,
( ~ sQ70_spl
| c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1818,f934]) ).
fof(f1951,definition,
( sQ95_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1954,plain,
( ~ sQ70_spl
| sQ95_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1945,f1808,f1811,f1951,f1817]) ).
fof(f1955,definition,
( sQ96_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1958,plain,
( ~ sQ70_spl
| sQ96_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1946,f1808,f1811,f1955,f1817]) ).
fof(f1959,definition,
( sQ97_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1960,plain,
( ~ sQ97_spl
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1959]) ).
fof(f1962,plain,
( ~ sQ70_spl
| sQ97_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1947,f1808,f1811,f1959,f1817]) ).
fof(f1963,definition,
( sQ98_spl
<=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1964,plain,
( ~ sQ98_spl
| c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f1963]) ).
fof(f1966,plain,
( ~ sQ70_spl
| sQ98_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1948,f1808,f1811,f1963,f1817]) ).
fof(f1967,definition,
( sQ99_spl
<=> c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1970,plain,
( ~ sQ70_spl
| sQ99_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1949,f1808,f1811,f1967,f1817]) ).
fof(f1971,definition,
( sQ100_spl
<=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1974,plain,
( ~ sQ70_spl
| sQ100_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1950,f1808,f1811,f1971,f1817]) ).
fof(f1976,plain,
( ~ sQ97_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[status(thm)],[f1623,f1960]) ).
fof(f1977,plain,
( ~ sQ98_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[status(thm)],[f1623,f1964]) ).
fof(f1979,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1241]) ).
fof(f1983,definition,
! [X0] :
( sQ101_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1986,plain,
( sQ101_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1979,f1808,f1983]) ).
fof(f2048,plain,
( ~ sQ97_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1976,f1219]) ).
fof(f2049,plain,
( ~ sQ97_spl
| ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1976,f1197]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1976,f1004]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1976,f730]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1976,f726]) ).
fof(f2054,definition,
( sQ115_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( ~ sQ97_spl
| sQ115_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2048,f1808,f1811,f2054,f1959]) ).
fof(f2058,definition,
( sQ116_spl
<=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ116_spl
| c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2061,definition,
( sQ117_spl
<=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2062,plain,
( ~ sQ117_spl
| c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2061]) ).
fof(f2064,plain,
( ~ sQ97_spl
| ~ sQ117_spl
| sQ116_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2049,f1808,f1811,f2058,f2061,f1959]) ).
fof(f2065,definition,
! [X0] :
( sQ118_spl
<=> ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f2068,plain,
( ~ sQ97_spl
| sQ118_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2050,f1808,f2065,f1959]) ).
fof(f2069,definition,
( sQ119_spl
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2071,plain,
( sQ119_spl
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2069]) ).
fof(f2072,definition,
! [X0] :
( sQ120_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2075,plain,
( ~ sQ97_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2051,f2069,f2072,f1959]) ).
fof(f2076,definition,
! [X0] :
( sQ121_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
( ~ sQ97_spl
| sQ121_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2052,f2069,f2076,f1959]) ).
fof(f2084,plain,
( sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2071,f1395]) ).
fof(f2085,plain,
sQ119_spl,
inference(contradiction_clause,[status(thm)],[f2084]) ).
fof(f2086,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1242,f1976]) ).
fof(f2087,definition,
! [X0] :
( sQ123_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2090,plain,
( ~ sQ97_spl
| sQ123_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2086,f1808,f2087,f1959]) ).
fof(f2093,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1243]) ).
fof(f2103,definition,
! [X0] :
( sQ126_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2106,plain,
( sQ126_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2093,f1808,f2103]) ).
fof(f2113,definition,
( sQ128_spl
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2122,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f778,f1431]) ).
fof(f2123,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f778,f1403]) ).
fof(f2124,definition,
! [X0,X1] :
( sQ130_spl
<=> c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
( sQ130_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2122,f1521,f2124]) ).
fof(f2128,definition,
! [X0,X1] :
( sQ131_spl
<=> c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2129,plain,
! [X0,X1] :
( ~ sQ131_spl
| c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2128]) ).
fof(f2131,plain,
( sQ131_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2123,f1482,f2128]) ).
fof(f2133,plain,
! [X0,X1,X2] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f780,f1431]) ).
fof(f2134,plain,
! [X0,X1,X2] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f780,f1403]) ).
fof(f2135,definition,
! [X0,X1,X2] :
( sQ132_spl
<=> c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f2135]) ).
fof(f2138,plain,
( sQ132_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2133,f1521,f2135]) ).
fof(f2139,definition,
! [X0,X1,X2] :
( sQ133_spl
<=> c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2140,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2139]) ).
fof(f2142,plain,
( sQ133_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2134,f1482,f2139]) ).
fof(f2143,plain,
! [X0,X1,X2,X3] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f782,f1431]) ).
fof(f2144,plain,
! [X0,X1,X2,X3] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f782,f1403]) ).
fof(f2145,definition,
! [X0,X1,X2,X3] :
( sQ134_spl
<=> c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( sQ134_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2143,f1521,f2145]) ).
fof(f2149,definition,
! [X0,X1,X2,X3] :
( sQ135_spl
<=> c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2150,plain,
! [X0,X1,X2,X3] :
( ~ sQ135_spl
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2149]) ).
fof(f2152,plain,
( sQ135_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2144,f1482,f2149]) ).
fof(f2153,plain,
! [X0,X1,X2,X3] :
( ~ sQ135_spl
| ~ sQ133_spl
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[status(thm)],[f2140,f2150]) ).
fof(f2162,plain,
( ~ sQ98_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1977,f1000]) ).
fof(f2163,plain,
( ~ sQ98_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1977,f930]) ).
fof(f2164,definition,
( sQ137_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f2167,plain,
( ~ sQ98_spl
| sQ137_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2162,f1808,f1811,f2164,f1963]) ).
fof(f2168,definition,
( sQ138_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f2169,plain,
( ~ sQ138_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2168]) ).
fof(f2171,plain,
( ~ sQ98_spl
| sQ138_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2163,f1808,f1811,f2168,f1963]) ).
fof(f2172,plain,
( ~ sQ116_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2059,f1199]) ).
fof(f2173,plain,
( ~ sQ116_spl
| c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2059,f936]) ).
fof(f2174,plain,
( ~ sQ116_spl
| c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2059,f937]) ).
fof(f2175,plain,
( ~ sQ116_spl
| sQ71_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2172,f1808,f1811,f1820,f2058]) ).
fof(f2176,plain,
( ~ sQ116_spl
| sQ117_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2173,f1808,f1811,f2061,f2058]) ).
fof(f2177,definition,
( sQ139_spl
<=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f2180,plain,
( ~ sQ116_spl
| sQ139_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2174,f1808,f1811,f2177,f2058]) ).
fof(f2191,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f1623,f1293]) ).
fof(f2193,plain,
( ~ sQ69_spl
| sQ72_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2191,f1808,f1811,f1824,f1814]) ).
fof(f2195,plain,
( ~ sQ97_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1324,f1976]) ).
fof(f2196,definition,
( sQ140_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f2197,plain,
( ~ sQ140_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2196]) ).
fof(f2199,plain,
( ~ sQ97_spl
| sQ140_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2195,f1808,f2196,f1959]) ).
fof(f2251,plain,
( ~ sQ117_spl
| c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2062,f937]) ).
fof(f2252,definition,
( sQ150_spl
<=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2255,plain,
( ~ sQ117_spl
| sQ150_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2251,f1808,f1811,f2252,f2061]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ117_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f800,f2062]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ98_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f800,f1977]) ).
fof(f2272,definition,
( sQ153_spl
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f2274,plain,
( sQ153_spl
| ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2272]) ).
fof(f2275,definition,
! [X0] :
( sQ154_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2278,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f2270,f2272,f2275,f1831,f2061]) ).
fof(f2279,definition,
! [X0] :
( sQ155_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2282,plain,
( ~ sQ98_spl
| ~ sQ70_spl
| sQ155_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f2271,f2272,f2279,f1817,f1963]) ).
fof(f2283,plain,
( sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f1415]) ).
fof(f2284,plain,
sQ153_spl,
inference(contradiction_clause,[status(thm)],[f2283]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ117_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f802,f2062]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ98_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f802,f1977]) ).
fof(f2287,definition,
! [X0] :
( sQ156_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2290,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| sQ156_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f2285,f2272,f2287,f1831,f2061]) ).
fof(f2291,definition,
! [X0] :
( sQ157_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2294,plain,
( ~ sQ98_spl
| ~ sQ70_spl
| sQ157_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f2286,f2272,f2291,f1817,f1963]) ).
fof(f2299,definition,
( sQ158_spl
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2301,plain,
( sQ158_spl
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2299]) ).
fof(f2315,plain,
( sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2301,f1422]) ).
fof(f2316,plain,
sQ158_spl,
inference(contradiction_clause,[status(thm)],[f2315]) ).
fof(f2359,plain,
( ~ sQ138_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2169,f931]) ).
fof(f2360,plain,
( ~ sQ138_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2169,f1000]) ).
fof(f2361,plain,
( ~ sQ138_spl
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2169,f930]) ).
fof(f2362,plain,
( ~ sQ138_spl
| sQ74_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2359,f1808,f1811,f1831,f2168]) ).
fof(f2363,definition,
( sQ167_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2366,plain,
( ~ sQ138_spl
| sQ167_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2360,f1808,f1811,f2363,f2168]) ).
fof(f2367,definition,
( sQ168_spl
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2370,plain,
( ~ sQ138_spl
| sQ168_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2361,f1808,f1811,f2367,f2168]) ).
fof(f2375,plain,
( ~ sQ70_spl
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f811,f1818]) ).
fof(f2376,definition,
( sQ169_spl
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2378,plain,
( sQ169_spl
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2401,plain,
( ~ sQ70_spl
| sQ128_spl
| sQ72_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f2375,f2376,f1824,f2113,f1817]) ).
fof(f2402,plain,
( sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2378,f1423]) ).
fof(f2403,plain,
sQ169_spl,
inference(contradiction_clause,[status(thm)],[f2402]) ).
fof(f2414,plain,
! [X0,X1] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f854,f1976]) ).
fof(f2415,definition,
( sQ176_spl
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
( sQ176_spl
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2415]) ).
fof(f2418,definition,
! [X0,X1] :
( sQ177_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
( ~ sQ97_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2414,f2415,f2418,f1959]) ).
fof(f2422,plain,
( sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f1393]) ).
fof(f2423,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f856,f1976]) ).
fof(f2429,definition,
( sQ178_spl
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2431,plain,
( sQ178_spl
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f2429]) ).
fof(f2436,definition,
! [X0] :
( sQ180_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2439,plain,
( ~ sQ97_spl
| sQ180_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2425,f2429,f2436,f1959]) ).
fof(f2452,plain,
( sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2431,f1397]) ).
fof(f2453,plain,
sQ178_spl,
inference(contradiction_clause,[status(thm)],[f2452]) ).
fof(f2455,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f858,f1976]) ).
fof(f2463,definition,
! [X0] :
( sQ185_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2466,plain,
( ~ sQ97_spl
| sQ185_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2455,f2429,f2463,f1959]) ).
fof(f2479,plain,
! [X0,X1] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f860,f1976]) ).
fof(f2480,definition,
! [X0,X1] :
( sQ189_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2483,plain,
( ~ sQ97_spl
| sQ189_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2479,f2069,f2480,f1959]) ).
fof(f2531,plain,
( ~ sQ140_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f1326]) ).
fof(f2533,plain,
! [X0,X1] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f860]) ).
fof(f2534,plain,
! [X0,X1] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f854]) ).
fof(f2535,plain,
( ~ sQ140_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f1324]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f1242]) ).
fof(f2537,plain,
( ~ sQ140_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f1219]) ).
fof(f2538,plain,
( ~ sQ140_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f1197]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f1004]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f730]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f726]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f858]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f856]) ).
fof(f2545,plain,
( ~ sQ140_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2197,f803]) ).
fof(f2546,plain,
( ~ sQ140_spl
| sQ71_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2531,f1808,f1811,f1820,f2196]) ).
fof(f2548,definition,
! [X0,X1] :
( sQ198_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( ~ sQ140_spl
| sQ198_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2533,f2069,f2548,f2196]) ).
fof(f2552,definition,
! [X0,X1] :
( sQ199_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2555,plain,
( ~ sQ140_spl
| sQ199_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2534,f2415,f2552,f2196]) ).
fof(f2556,definition,
( sQ200_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
( ~ sQ140_spl
| sQ200_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2535,f1808,f2556,f2196]) ).
fof(f2560,definition,
! [X0] :
( sQ201_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2563,plain,
( ~ sQ140_spl
| sQ201_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2536,f1808,f2560,f2196]) ).
fof(f2564,definition,
( sQ202_spl
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( ~ sQ140_spl
| sQ202_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2537,f1808,f1811,f2564,f2196]) ).
fof(f2568,definition,
( sQ203_spl
<=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2571,plain,
( ~ sQ140_spl
| ~ sQ150_spl
| sQ203_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2538,f1808,f1811,f2568,f2252,f2196]) ).
fof(f2572,definition,
! [X0] :
( sQ204_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2575,plain,
( ~ sQ140_spl
| sQ204_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2539,f1808,f2572,f2196]) ).
fof(f2576,definition,
! [X0] :
( sQ205_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2579,plain,
( ~ sQ140_spl
| sQ205_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2540,f2069,f2576,f2196]) ).
fof(f2580,definition,
! [X0] :
( sQ206_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2583,plain,
( ~ sQ140_spl
| sQ206_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2541,f2069,f2580,f2196]) ).
fof(f2584,definition,
! [X0] :
( sQ207_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2587,plain,
( ~ sQ140_spl
| sQ207_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2542,f2429,f2584,f2196]) ).
fof(f2588,definition,
! [X0] :
( sQ208_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2591,plain,
( ~ sQ140_spl
| sQ208_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2543,f2429,f2588,f2196]) ).
fof(f2592,definition,
( sQ209_spl
<=> c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2596,plain,
( ~ sQ140_spl
| ~ sQ209_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f2545,f2299,f2592,f2196]) ).
fof(f2720,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f864,f2197]) ).
fof(f2721,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f864,f1976]) ).
fof(f2730,definition,
! [X0] :
( sQ233_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2733,plain,
( ~ sQ140_spl
| sQ233_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2720,f2429,f2730,f2196]) ).
fof(f2734,definition,
! [X0] :
( sQ234_spl
<=> ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2737,plain,
( ~ sQ97_spl
| sQ234_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2721,f2429,f2734,f1959]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ140_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f866,f2197]) ).
fof(f2756,plain,
! [X0] :
( ~ sQ97_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f866,f1976]) ).
fof(f2765,definition,
! [X0] :
( sQ240_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2768,plain,
( ~ sQ140_spl
| sQ240_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2755,f2429,f2765,f2196]) ).
fof(f2769,definition,
! [X0] :
( sQ241_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2772,plain,
( ~ sQ97_spl
| sQ241_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2756,f2429,f2769,f1959]) ).
fof(f3011,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f878]) ).
fof(f3012,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f878]) ).
fof(f3013,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f874]) ).
fof(f3014,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f874]) ).
fof(f3015,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f798]) ).
fof(f3016,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f797]) ).
fof(f3017,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f770]) ).
fof(f3018,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f767]) ).
fof(f3019,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f764]) ).
fof(f3020,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f763]) ).
fof(f3021,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f761]) ).
fof(f3022,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f760]) ).
fof(f3023,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f758]) ).
fof(f3024,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f757]) ).
fof(f3025,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f756]) ).
fof(f3026,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f754]) ).
fof(f3027,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f748]) ).
fof(f3028,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f746]) ).
fof(f3029,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f744]) ).
fof(f3030,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f744]) ).
fof(f3031,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f743]) ).
fof(f3032,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f743]) ).
fof(f3033,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f742]) ).
fof(f3034,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f742]) ).
fof(f3035,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f741]) ).
fof(f3036,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f741]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f740]) ).
fof(f3038,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f738]) ).
fof(f3039,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f738]) ).
fof(f3040,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f736]) ).
fof(f3041,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f736]) ).
fof(f3042,plain,
! [X0,X1] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f728]) ).
fof(f3043,plain,
! [X0,X1] :
( ~ sQ131_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2129,f727]) ).
fof(f3044,definition,
! [X0,X1,X2] :
( sQ287_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3047,plain,
( ~ sQ131_spl
| sQ287_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3011,f2429,f3044,f2128]) ).
fof(f3048,definition,
! [X0,X1,X2] :
( sQ288_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3051,plain,
( ~ sQ131_spl
| sQ288_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3012,f2429,f3048,f2128]) ).
fof(f3052,definition,
! [X0,X1,X2] :
( sQ289_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3055,plain,
( ~ sQ131_spl
| sQ289_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3013,f2429,f3052,f2128]) ).
fof(f3056,definition,
! [X0,X1,X2] :
( sQ290_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3059,plain,
( ~ sQ131_spl
| sQ290_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3014,f2429,f3056,f2128]) ).
fof(f3060,definition,
! [X0,X1,X2] :
( sQ291_spl
<=> ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3063,plain,
( ~ sQ131_spl
| sQ291_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3015,f1808,f1811,f3060,f2128]) ).
fof(f3064,definition,
! [X0,X1,X2] :
( sQ292_spl
<=> ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3067,plain,
( ~ sQ131_spl
| sQ292_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3016,f1808,f1811,f3064,f2128]) ).
fof(f3068,definition,
! [X0,X1,X2] :
( sQ293_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3071,plain,
( ~ sQ131_spl
| sQ293_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3017,f1808,f1811,f3068,f2128]) ).
fof(f3072,definition,
! [X0,X1,X2] :
( sQ294_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3075,plain,
( ~ sQ131_spl
| sQ294_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3018,f1808,f1811,f3072,f2128]) ).
fof(f3076,definition,
! [X0,X1,X2] :
( sQ295_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3079,plain,
( ~ sQ131_spl
| sQ295_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3019,f1808,f1811,f3076,f2128]) ).
fof(f3080,definition,
! [X0,X1,X2] :
( sQ296_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3083,plain,
( ~ sQ131_spl
| sQ296_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3020,f1808,f1811,f3080,f2128]) ).
fof(f3084,definition,
! [X0,X1,X2] :
( sQ297_spl
<=> ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3087,plain,
( ~ sQ131_spl
| sQ297_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3021,f1808,f1811,f3084,f2128]) ).
fof(f3088,definition,
! [X0,X1,X2] :
( sQ298_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3091,plain,
( ~ sQ131_spl
| sQ298_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3022,f1808,f1811,f3088,f2128]) ).
fof(f3092,definition,
! [X0,X1,X2] :
( sQ299_spl
<=> ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3095,plain,
( ~ sQ131_spl
| sQ299_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3023,f1808,f1811,f3092,f2128]) ).
fof(f3096,definition,
! [X0,X1,X2] :
( sQ300_spl
<=> ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3099,plain,
( ~ sQ131_spl
| sQ300_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3024,f1808,f1811,f3096,f2128]) ).
fof(f3100,definition,
! [X0,X1,X2] :
( sQ301_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3103,plain,
( ~ sQ131_spl
| sQ301_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3025,f1808,f3100,f2128]) ).
fof(f3104,definition,
! [X0,X1,X2] :
( sQ302_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3107,plain,
( ~ sQ131_spl
| sQ302_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3026,f1808,f3104,f2128]) ).
fof(f3108,definition,
! [X0,X1,X2] :
( sQ303_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3111,plain,
( ~ sQ131_spl
| sQ303_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3027,f1808,f1811,f3108,f2128]) ).
fof(f3112,definition,
! [X0,X1,X2] :
( sQ304_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3115,plain,
( ~ sQ131_spl
| sQ304_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3028,f1808,f3112,f2128]) ).
fof(f3116,definition,
! [X0,X1,X2] :
( sQ305_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3119,plain,
( ~ sQ131_spl
| sQ305_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3029,f2429,f3116,f2128]) ).
fof(f3120,definition,
! [X0,X1,X2] :
( sQ306_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3123,plain,
( ~ sQ131_spl
| sQ306_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3030,f2429,f3120,f2128]) ).
fof(f3124,definition,
! [X0,X1,X2] :
( sQ307_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3127,plain,
( ~ sQ131_spl
| sQ307_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3031,f2429,f3124,f2128]) ).
fof(f3128,definition,
! [X0,X1,X2] :
( sQ308_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3131,plain,
( ~ sQ131_spl
| sQ308_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3032,f2429,f3128,f2128]) ).
fof(f3132,definition,
! [X0,X1,X2] :
( sQ309_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3135,plain,
( ~ sQ131_spl
| sQ309_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3033,f2429,f3132,f2128]) ).
fof(f3136,definition,
! [X0,X1,X2] :
( sQ310_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3139,plain,
( ~ sQ131_spl
| sQ310_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3034,f2429,f3136,f2128]) ).
fof(f3140,definition,
! [X0,X1,X2] :
( sQ311_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3143,plain,
( ~ sQ131_spl
| sQ311_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3035,f2429,f3140,f2128]) ).
fof(f3144,definition,
! [X0,X1,X2] :
( sQ312_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3147,plain,
( ~ sQ131_spl
| sQ312_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3036,f2429,f3144,f2128]) ).
fof(f3148,definition,
! [X0] :
( sQ313_spl
<=> ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3151,plain,
( ~ sQ131_spl
| sQ313_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3037,f2429,f3148,f2128]) ).
fof(f3152,definition,
! [X0,X1,X2] :
( sQ314_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3155,plain,
( ~ sQ131_spl
| sQ314_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3038,f2429,f3152,f2128]) ).
fof(f3156,definition,
! [X0,X1,X2] :
( sQ315_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3159,plain,
( ~ sQ131_spl
| sQ315_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3039,f2429,f3156,f2128]) ).
fof(f3160,definition,
! [X0,X1,X2] :
( sQ316_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3163,plain,
( ~ sQ131_spl
| sQ316_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3040,f2429,f3160,f2128]) ).
fof(f3164,definition,
! [X0,X1,X2] :
( sQ317_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3167,plain,
( ~ sQ131_spl
| sQ317_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3041,f2429,f3164,f2128]) ).
fof(f3168,definition,
! [X0,X1] :
( sQ318_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3171,plain,
( ~ sQ131_spl
| sQ318_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3042,f2069,f3168,f2128]) ).
fof(f3172,definition,
! [X0,X1] :
( sQ319_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3175,plain,
( ~ sQ131_spl
| sQ319_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3043,f2069,f3172,f2128]) ).
fof(f3204,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f878]) ).
fof(f3205,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f878]) ).
fof(f3206,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f874]) ).
fof(f3207,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f874]) ).
fof(f3208,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f798]) ).
fof(f3209,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f797]) ).
fof(f3210,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f770]) ).
fof(f3211,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f767]) ).
fof(f3212,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f764]) ).
fof(f3213,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f763]) ).
fof(f3214,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f761]) ).
fof(f3215,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f760]) ).
fof(f3216,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f758]) ).
fof(f3217,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f757]) ).
fof(f3218,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f756]) ).
fof(f3219,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f754]) ).
fof(f3220,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f748]) ).
fof(f3221,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f746]) ).
fof(f3222,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f744]) ).
fof(f3223,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f744]) ).
fof(f3224,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f743]) ).
fof(f3225,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f743]) ).
fof(f3226,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f742]) ).
fof(f3227,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f742]) ).
fof(f3228,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f741]) ).
fof(f3229,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f741]) ).
fof(f3230,plain,
! [X0,X1] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f740]) ).
fof(f3231,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f738]) ).
fof(f3232,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f738]) ).
fof(f3233,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f736]) ).
fof(f3234,plain,
! [X0,X1,X2,X3] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f736]) ).
fof(f3235,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f728]) ).
fof(f3236,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2140,f727]) ).
fof(f3237,definition,
! [X0,X1,X2,X3] :
( sQ324_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3240,plain,
( ~ sQ133_spl
| sQ324_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3204,f2429,f3237,f2139]) ).
fof(f3241,definition,
! [X0,X1,X2,X3] :
( sQ325_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3244,plain,
( ~ sQ133_spl
| sQ325_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3205,f2429,f3241,f2139]) ).
fof(f3245,definition,
! [X0,X1,X2,X3] :
( sQ326_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3248,plain,
( ~ sQ133_spl
| sQ326_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3206,f2429,f3245,f2139]) ).
fof(f3249,definition,
! [X0,X1,X2,X3] :
( sQ327_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3252,plain,
( ~ sQ133_spl
| sQ327_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3207,f2429,f3249,f2139]) ).
fof(f3253,definition,
! [X0,X1,X2,X3] :
( sQ328_spl
<=> ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3256,plain,
( ~ sQ133_spl
| sQ328_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3208,f1808,f1811,f3253,f2139]) ).
fof(f3257,definition,
! [X0,X1,X2,X3] :
( sQ329_spl
<=> ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3260,plain,
( ~ sQ133_spl
| sQ329_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3209,f1808,f1811,f3257,f2139]) ).
fof(f3261,definition,
! [X0,X1,X2,X3] :
( sQ330_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3264,plain,
( ~ sQ133_spl
| sQ330_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3210,f1808,f1811,f3261,f2139]) ).
fof(f3265,definition,
! [X0,X1,X2,X3] :
( sQ331_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3268,plain,
( ~ sQ133_spl
| sQ331_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3211,f1808,f1811,f3265,f2139]) ).
fof(f3269,definition,
! [X0,X1,X2,X3] :
( sQ332_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3272,plain,
( ~ sQ133_spl
| sQ332_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3212,f1808,f1811,f3269,f2139]) ).
fof(f3273,definition,
! [X0,X1,X2,X3] :
( sQ333_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3276,plain,
( ~ sQ133_spl
| sQ333_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3213,f1808,f1811,f3273,f2139]) ).
fof(f3277,definition,
! [X0,X1,X2,X3] :
( sQ334_spl
<=> ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3280,plain,
( ~ sQ133_spl
| sQ334_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3214,f1808,f1811,f3277,f2139]) ).
fof(f3281,definition,
! [X0,X1,X2,X3] :
( sQ335_spl
<=> ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
( ~ sQ133_spl
| sQ335_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3215,f1808,f1811,f3281,f2139]) ).
fof(f3285,definition,
! [X0,X1,X2,X3] :
( sQ336_spl
<=> ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3288,plain,
( ~ sQ133_spl
| sQ336_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3216,f1808,f1811,f3285,f2139]) ).
fof(f3289,definition,
! [X0,X1,X2,X3] :
( sQ337_spl
<=> ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3292,plain,
( ~ sQ133_spl
| sQ337_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3217,f1808,f1811,f3289,f2139]) ).
fof(f3293,definition,
! [X0,X1,X2,X3] :
( sQ338_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3296,plain,
( ~ sQ133_spl
| sQ338_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3218,f1808,f3293,f2139]) ).
fof(f3297,definition,
! [X0,X1,X2,X3] :
( sQ339_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3300,plain,
( ~ sQ133_spl
| sQ339_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3219,f1808,f3297,f2139]) ).
fof(f3301,definition,
! [X0,X1,X2,X3] :
( sQ340_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3304,plain,
( ~ sQ133_spl
| sQ340_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3220,f1808,f1811,f3301,f2139]) ).
fof(f3305,definition,
! [X0,X1,X2,X3] :
( sQ341_spl
<=> ( ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3308,plain,
( ~ sQ133_spl
| sQ341_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3221,f1808,f3305,f2139]) ).
fof(f3309,definition,
! [X0,X1,X2,X3] :
( sQ342_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3312,plain,
( ~ sQ133_spl
| sQ342_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3222,f2429,f3309,f2139]) ).
fof(f3313,definition,
! [X0,X1,X2,X3] :
( sQ343_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3316,plain,
( ~ sQ133_spl
| sQ343_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3223,f2429,f3313,f2139]) ).
fof(f3317,definition,
! [X0,X1,X2,X3] :
( sQ344_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3320,plain,
( ~ sQ133_spl
| sQ344_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3224,f2429,f3317,f2139]) ).
fof(f3321,definition,
! [X0,X1,X2,X3] :
( sQ345_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3324,plain,
( ~ sQ133_spl
| sQ345_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3225,f2429,f3321,f2139]) ).
fof(f3325,definition,
! [X0,X1,X2,X3] :
( sQ346_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3328,plain,
( ~ sQ133_spl
| sQ346_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3226,f2429,f3325,f2139]) ).
fof(f3329,definition,
! [X0,X1,X2,X3] :
( sQ347_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3332,plain,
( ~ sQ133_spl
| sQ347_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3227,f2429,f3329,f2139]) ).
fof(f3333,definition,
! [X0,X1,X2,X3] :
( sQ348_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3336,plain,
( ~ sQ133_spl
| sQ348_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3228,f2429,f3333,f2139]) ).
fof(f3337,definition,
! [X0,X1,X2,X3] :
( sQ349_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3340,plain,
( ~ sQ133_spl
| sQ349_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3229,f2429,f3337,f2139]) ).
fof(f3341,definition,
! [X0,X1] :
( sQ350_spl
<=> ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3344,plain,
( ~ sQ133_spl
| sQ350_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3230,f2429,f3341,f2139]) ).
fof(f3345,definition,
! [X0,X1,X2,X3] :
( sQ351_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3348,plain,
( ~ sQ133_spl
| sQ351_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3231,f2429,f3345,f2139]) ).
fof(f3349,definition,
! [X0,X1,X2,X3] :
( sQ352_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3352,plain,
( ~ sQ133_spl
| sQ352_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3232,f2429,f3349,f2139]) ).
fof(f3353,definition,
! [X0,X1,X2,X3] :
( sQ353_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3356,plain,
( ~ sQ133_spl
| sQ353_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3233,f2429,f3353,f2139]) ).
fof(f3357,definition,
! [X0,X1,X2,X3] :
( sQ354_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3360,plain,
( ~ sQ133_spl
| sQ354_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f3234,f2429,f3357,f2139]) ).
fof(f3361,definition,
! [X0,X1,X2] :
( sQ355_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3364,plain,
( ~ sQ133_spl
| sQ355_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3235,f2069,f3361,f2139]) ).
fof(f3365,definition,
! [X0,X1,X2] :
( sQ356_spl
<=> ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3368,plain,
( ~ sQ133_spl
| sQ356_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3236,f2069,f3365,f2139]) ).
fof(f3388,definition,
( sQ357_spl
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( sQ357_spl
| ~ class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3388]) ).
fof(f3395,plain,
( sQ357_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3390,f1404]) ).
fof(f3396,plain,
sQ357_spl,
inference(contradiction_clause,[status(thm)],[f3395]) ).
fof(f3397,plain,
! [X0] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f885,f1431]) ).
fof(f3398,plain,
! [X0] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f885,f1403]) ).
fof(f3399,definition,
! [X0] :
( sQ359_spl
<=> c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3402,plain,
( sQ359_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3397,f1521,f3399]) ).
fof(f3403,definition,
! [X0] :
( sQ360_spl
<=> c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3404,plain,
! [X0] :
( ~ sQ360_spl
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(component_clause,[status(thm)],[f3403]) ).
fof(f3406,plain,
( sQ360_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3398,f1482,f3403]) ).
fof(f3532,plain,
! [X0,X1] :
( ~ sQ360_spl
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f768]) ).
fof(f3533,plain,
! [X0,X1] :
( ~ sQ360_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f765]) ).
fof(f3534,plain,
! [X0,X1] :
( ~ sQ360_spl
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f751]) ).
fof(f3535,plain,
! [X0,X1] :
( ~ sQ360_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f749]) ).
fof(f3536,definition,
! [X0,X1] :
( sQ382_spl
<=> ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3539,plain,
( ~ sQ360_spl
| sQ382_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3532,f1808,f1811,f3536,f3403]) ).
fof(f3540,definition,
! [X0,X1] :
( sQ383_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3543,plain,
( ~ sQ360_spl
| sQ383_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3533,f1808,f1811,f3540,f3403]) ).
fof(f3544,definition,
! [X0,X1] :
( sQ384_spl
<=> ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3547,plain,
( ~ sQ360_spl
| sQ384_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3534,f1808,f1811,f3544,f3403]) ).
fof(f3548,definition,
! [X0,X1] :
( sQ385_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3551,plain,
( ~ sQ360_spl
| sQ385_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3535,f1808,f1811,f3548,f3403]) ).
fof(f3734,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f768]) ).
fof(f3735,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f765]) ).
fof(f3736,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f751]) ).
fof(f3737,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f749]) ).
fof(f3744,definition,
! [X0,X1,X2,X3,X4] :
( sQ419_spl
<=> ( ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f3747,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ419_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3734,f1808,f1811,f3744,f2139,f2149]) ).
fof(f3748,definition,
! [X0,X1,X2,X3,X4] :
( sQ420_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f3751,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ420_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3735,f1808,f1811,f3748,f2139,f2149]) ).
fof(f3752,definition,
! [X0,X1,X2,X3,X4] :
( sQ421_spl
<=> ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f3755,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ421_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3736,f1808,f1811,f3752,f2139,f2149]) ).
fof(f3756,definition,
! [X0,X1,X2,X3,X4] :
( sQ422_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f3759,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ422_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3737,f1808,f1811,f3756,f2139,f2149]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ70_spl
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f889,f1818]) ).
fof(f3839,definition,
! [X0] :
( sQ433_spl
<=> ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f3842,plain,
( ~ sQ70_spl
| sQ433_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3830,f1808,f1811,f3839,f1817]) ).
fof(f3843,plain,
! [X0] :
( ~ sQ138_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f891,f2169]) ).
fof(f3844,plain,
! [X0] :
( ~ sQ98_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f891,f1977]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ70_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f891,f1818]) ).
fof(f3846,definition,
! [X0] :
( sQ434_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f3849,plain,
( ~ sQ138_spl
| sQ434_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3843,f1808,f1811,f3846,f2168]) ).
fof(f3850,definition,
! [X0] :
( sQ435_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f3853,plain,
( ~ sQ98_spl
| sQ435_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3844,f1808,f1811,f3850,f1963]) ).
fof(f3854,definition,
! [X0] :
( sQ436_spl
<=> ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f3857,plain,
( ~ sQ70_spl
| sQ436_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3845,f1808,f1811,f3854,f1817]) ).
fof(f3858,plain,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0
| ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f893,f1431]) ).
fof(f3859,plain,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0
| ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f893,f1403]) ).
fof(f3860,definition,
! [X0,X1] :
( sQ437_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f3861,plain,
! [X0,X1] :
( ~ sQ437_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 ),
inference(component_clause,[status(thm)],[f3860]) ).
fof(f3863,plain,
( sQ437_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3858,f1521,f3860]) ).
fof(f3864,definition,
! [X0,X1] :
( sQ438_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f3865,plain,
! [X0,X1] :
( ~ sQ438_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0 ),
inference(component_clause,[status(thm)],[f3864]) ).
fof(f3867,plain,
( sQ438_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f3859,f1482,f3864]) ).
fof(f3868,plain,
! [X0,X1] :
( ~ sQ438_spl
| ~ sQ133_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0 ),
inference(forward_demodulation,[status(thm)],[f2140,f3865]) ).
fof(f3869,plain,
! [X0,X1] :
( ~ sQ437_spl
| ~ sQ132_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[status(thm)],[f2136,f3861]) ).
fof(f3871,plain,
! [X0] :
( ~ sQ360_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f899]) ).
fof(f3873,plain,
! [X0,X1,X2,X3] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f899]) ).
fof(f3879,definition,
! [X0] :
( sQ440_spl
<=> ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f3882,plain,
( ~ sQ360_spl
| ~ sQ70_spl
| sQ440_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3871,f1808,f1811,f3879,f1817,f3403]) ).
fof(f3887,definition,
! [X0,X1,X2,X3] :
( sQ442_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f3890,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ442_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3873,f1808,f1811,f3887,f2139,f2149]) ).
fof(f3896,plain,
! [X0] :
( ~ sQ360_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f900]) ).
fof(f3898,plain,
! [X0,X1,X2,X3] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f900]) ).
fof(f3904,definition,
! [X0] :
( sQ445_spl
<=> ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f3907,plain,
( ~ sQ360_spl
| ~ sQ70_spl
| sQ445_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3896,f1808,f1811,f3904,f1817,f3403]) ).
fof(f3912,definition,
! [X0,X1,X2,X3] :
( sQ447_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f3915,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ447_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3898,f1808,f1811,f3912,f2139,f2149]) ).
fof(f3921,plain,
! [X0] :
( ~ sQ360_spl
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f901]) ).
fof(f3923,plain,
! [X0,X1,X2,X3] :
( ~ sQ135_spl
| ~ sQ133_spl
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2153,f901]) ).
fof(f3929,definition,
! [X0] :
( sQ450_spl
<=> ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f3932,plain,
( ~ sQ360_spl
| ~ sQ70_spl
| sQ450_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3921,f1808,f1811,f3929,f1817,f3403]) ).
fof(f3937,definition,
! [X0,X1,X2,X3] :
( sQ452_spl
<=> ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f3940,plain,
( ~ sQ135_spl
| ~ sQ133_spl
| sQ452_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3923,f1808,f1811,f3937,f2139,f2149]) ).
fof(f3971,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ438_spl
| ~ sQ133_spl
| c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f3868,f1494]) ).
fof(f3973,plain,
! [X0] :
( ~ sQ360_spl
| ~ sQ438_spl
| ~ sQ133_spl
| X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3404,f3868]) ).
fof(f3979,plain,
! [X0,X1] :
( ~ sQ438_spl
| ~ sQ133_spl
| ~ sQ5_spl
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X0 != c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3868,f1494]) ).
fof(f3983,plain,
! [X0,X1] :
( ~ sQ438_spl
| ~ sQ133_spl
| X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3868,f901]) ).
fof(f3984,plain,
! [X0,X1] :
( ~ sQ438_spl
| ~ sQ133_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3868,f900]) ).
fof(f3986,plain,
! [X0,X1,X2] :
( ~ sQ438_spl
| ~ sQ133_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3868,f768]) ).
fof(f3988,plain,
! [X0,X1,X2] :
( ~ sQ438_spl
| ~ sQ133_spl
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3868,f751]) ).
fof(f3990,definition,
! [X0] :
( sQ458_spl
<=> c_Int_Onumber__class_Onumber__of(X0,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f3993,plain,
( ~ sQ5_spl
| ~ sQ438_spl
| ~ sQ133_spl
| sQ458_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3971,f2113,f3990,f2139,f3864,f1493]) ).
fof(f3994,definition,
! [X0] :
( sQ459_spl
<=> X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f3997,plain,
( ~ sQ360_spl
| ~ sQ438_spl
| ~ sQ133_spl
| sQ459_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3973,f2113,f3994,f2139,f3864,f3403]) ).
fof(f4001,definition,
! [X0,X1] :
( sQ460_spl
<=> ( c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X0 != c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f4004,plain,
( ~ sQ438_spl
| ~ sQ133_spl
| ~ sQ5_spl
| sQ128_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f3979,f4001,f2113,f1493,f2139,f3864]) ).
fof(f4005,definition,
! [X0,X1] :
( sQ461_spl
<=> ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f4008,plain,
( ~ sQ438_spl
| ~ sQ133_spl
| sQ461_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3983,f1808,f1811,f4005,f2139,f3864]) ).
fof(f4009,definition,
! [X0,X1] :
( sQ462_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f4012,plain,
( ~ sQ438_spl
| ~ sQ133_spl
| sQ462_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3984,f1808,f1811,f4009,f2139,f3864]) ).
fof(f4020,definition,
! [X0,X1,X2] :
( sQ465_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f4023,plain,
( ~ sQ438_spl
| ~ sQ133_spl
| sQ465_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3986,f1808,f1811,f4020,f2139,f3864]) ).
fof(f4025,definition,
! [X0,X1,X2] :
( sQ466_spl
<=> ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f4028,plain,
( ~ sQ438_spl
| ~ sQ133_spl
| sQ466_spl
| ~ sQ68_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3988,f1808,f1811,f4025,f2139,f3864]) ).
fof(f4061,plain,
( ~ sQ437_spl
| ~ sQ132_spl
| c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
inference(paramodulation,[status(thm)],[f1690,f3869]) ).
fof(f4062,plain,
! [X0] :
( ~ sQ437_spl
| ~ sQ132_spl
| c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(paramodulation,[status(thm)],[f1202,f3869]) ).
fof(f4087,definition,
( sQ469_spl
<=> c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f4090,definition,
( sQ470_spl
<=> c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f4091,plain,
( ~ sQ470_spl
| c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f4090]) ).
fof(f4093,plain,
( ~ sQ437_spl
| ~ sQ132_spl
| sQ470_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f4061,f4087,f4090,f2135,f3860]) ).
fof(f4094,definition,
! [X0] :
( sQ471_spl
<=> c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f4095,plain,
! [X0] :
( ~ sQ471_spl
| c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f4094]) ).
fof(f4097,plain,
( ~ sQ437_spl
| ~ sQ132_spl
| sQ470_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f4062,f4094,f4090,f2135,f3860]) ).
fof(f4133,plain,
( ~ sQ470_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4091,f1255]) ).
fof(f4134,plain,
~ sQ470_spl,
inference(contradiction_clause,[status(thm)],[f4133]) ).
fof(f4151,plain,
( ~ sQ1_spl
| ~ sQ471_spl
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(backward_demodulation,[status(thm)],[f4095,f1477]) ).
fof(f4191,plain,
( ~ sQ1_spl
| ~ sQ471_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4151,f1473,f4094,f1476]) ).
fof(f4201,plain,
( sQ1_spl
| ~ sQ471_spl
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[status(thm)],[f4095,f1478]) ).
fof(f4202,plain,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ471_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1474,f4201]) ).
fof(f4203,plain,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ471_spl ),
inference(contradiction_clause,[status(thm)],[f4202]) ).
fof(f4204,plain,
$false,
inference(sat_refutation,[status(thm)],[f1479,f1480,f1491,f1496,f1498,f1500,f1505,f1510,f1515,f1530,f1534,f1538,f1542,f1546,f1548,f1550,f1823,f1830,f1834,f1838,f1850,f1855,f1857,f1859,f1861,f1954,f1958,f1962,f1966,f1970,f1974,f1986,f2057,f2064,f2068,f2075,f2079,f2085,f2090,f2106,f2127,f2131,f2138,f2142,f2148,f2152,f2167,f2171,f2175,f2176,f2180,f2193,f2199,f2255,f2278,f2282,f2284,f2290,f2294,f2316,f2362,f2366,f2370,f2401,f2403,f2421,f2423,f2439,f2453,f2466,f2483,f2546,f2551,f2555,f2559,f2563,f2567,f2571,f2575,f2579,f2583,f2587,f2591,f2596,f2733,f2737,f2768,f2772,f3047,f3051,f3055,f3059,f3063,f3067,f3071,f3075,f3079,f3083,f3087,f3091,f3095,f3099,f3103,f3107,f3111,f3115,f3119,f3123,f3127,f3131,f3135,f3139,f3143,f3147,f3151,f3155,f3159,f3163,f3167,f3171,f3175,f3240,f3244,f3248,f3252,f3256,f3260,f3264,f3268,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3304,f3308,f3312,f3316,f3320,f3324,f3328,f3332,f3336,f3340,f3344,f3348,f3352,f3356,f3360,f3364,f3368,f3396,f3402,f3406,f3539,f3543,f3547,f3551,f3747,f3751,f3755,f3759,f3842,f3849,f3853,f3857,f3863,f3867,f3882,f3890,f3907,f3915,f3932,f3940,f3993,f3997,f4004,f4008,f4012,f4023,f4028,f4093,f4097,f4134,f4191,f4203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG400-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:17:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 4.45/1.02 % Refutation found
% 4.45/1.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.45/1.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.45/1.06 % Elapsed time: 0.684784 seconds
% 4.45/1.06 % CPU time: 4.782719 seconds
% 4.45/1.06 % Total memory used: 199.406 MB
% 4.45/1.06 % Net memory used: 195.634 MB
%------------------------------------------------------------------------------