%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV627-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:04:29 AM UTC 2026
% Result : Unsatisfiable 27.39s 40.22s
% Output : CNFRefutation 27.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 52 ( 35 unt; 0 nHn; 31 RR)
% Number of literals : 73 ( 37 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inverse__1_0,axiom,
( 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uHOL$uOone$u$uclass$uOone'(X0),X0) = 'c$uHOL$uOone$u$uclass$uOone'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uring'(X0) ) ).
cnf(cls_power__inverse_0,axiom,
( 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'(X1,X2,X0),X0) = 'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'(X1,X0),X2,X0)
| ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uby$u$uzero'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uring'(X0) ) ).
cnf(cls_inverse__eq__divide_0,axiom,
( 'c$uHOL$uOinverse$u$uclass$uOinverse'(X1,X0) = 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'(X0),X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ) ).
cnf(cls_power__one_0,axiom,
( 'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOone$u$uclass$uOone'(X0),X1,X0) = 'c$uHOL$uOone$u$uclass$uOone'(X0)
| ~ 'class$uOrderedGroup$uOmonoid$u$umult'(X0) ) ).
cnf(cls_root__unity_0,axiom,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'(X0),X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex') ).
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( 'c$uHOL$uOminus$u$uclass$uOminus'(X1,X1,X0) = 'c$uHOL$uOzero$u$uclass$uOzero'(X0)
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0) ) ).
cnf(cls_class__ringb_Osubr0__iff_1,axiom,
( 'c$uHOL$uOminus$u$uclass$uOminus'(X1,X1,X0) = 'c$uHOL$uOzero$u$uclass$uOzero'(X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOidom'(X0) ) ).
cnf(cls_divide__zero__left_0,axiom,
( 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOzero$u$uclass$uOzero'(X0),X1,X0) = 'c$uHOL$uOzero$u$uclass$uOzero'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$un','tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
'class$uRing$u$uand$u$uField$uOdivision$u$uby$u$uzero'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
'class$uRing$u$uand$u$uField$uOdivision$u$uring'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
'class$uOrderedGroup$uOab$u$ugroup$u$uadd'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
'class$uOrderedGroup$uOmonoid$u$umult'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
'class$uRing$u$uand$u$uField$uOfield'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
'class$uRing$u$uand$u$uField$uOidom'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
'class$uInt$uOnumber$u$uring'('tc$uComplex$uOcomplex') ).
cnf(c394,plain,
( 'c$uHOL$uOone$u$uclass$uOone'(X0) = 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uHOL$uOone$u$uclass$uOone'(X0),X0)
| ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uring'(X0) ),
inference(clausification,[status(esa)],[cls_inverse__1_0]) ).
cnf(c427,plain,
( 'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'(X1,X0),X2,X0) = 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'(X1,X2,X0),X0)
| ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uring'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uby$u$uzero'(X0) ),
inference(clausification,[status(esa)],[cls_power__inverse_0]) ).
cnf(c624,plain,
( 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'(X0),X1,X0) = 'c$uHOL$uOinverse$u$uclass$uOinverse'(X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ),
inference(clausification,[status(esa)],[cls_inverse__eq__divide_0]) ).
cnf(c643,plain,
( 'c$uHOL$uOone$u$uclass$uOone'(X0) = 'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOone$u$uclass$uOone'(X0),X1,X0)
| ~ 'class$uOrderedGroup$uOmonoid$u$umult'(X0) ),
inference(clausification,[status(esa)],[cls_power__one_0]) ).
cnf(c651,plain,
'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex') = 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'(X0),X0,'tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_root__unity_0]) ).
cnf(c655,plain,
( 'c$uHOL$uOzero$u$uclass$uOzero'(X0) = 'c$uHOL$uOminus$u$uclass$uOminus'(X1,X1,X0)
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_eq__iff__diff__eq__0_0]) ).
cnf(c659,plain,
( 'c$uHOL$uOzero$u$uclass$uOzero'(X0) = 'c$uHOL$uOminus$u$uclass$uOminus'(X1,X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOidom'(X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0) ),
inference(clausification,[status(esa)],[cls_class__ringb_Osubr0__iff_1]) ).
cnf(c669,plain,
( 'c$uHOL$uOzero$u$uclass$uOzero'(X0) = 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOzero$u$uclass$uOzero'(X0),X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ),
inference(clausification,[status(esa)],[cls_divide__zero__left_0]) ).
cnf(c673,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$un','tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c742,plain,
'class$uRing$u$uand$u$uField$uOdivision$u$uby$u$uzero'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).
cnf(c747,plain,
'class$uRing$u$uand$u$uField$uOdivision$u$uring'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring]) ).
cnf(c752,plain,
'class$uOrderedGroup$uOab$u$ugroup$u$uadd'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).
cnf(c754,plain,
'class$uOrderedGroup$uOmonoid$u$umult'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).
cnf(c757,plain,
'class$uRing$u$uand$u$uField$uOfield'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).
cnf(c759,plain,
'class$uRing$u$uand$u$uField$uOidom'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom]) ).
cnf(c762,plain,
'class$uInt$uOnumber$u$uring'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Int_Onumber__ring]) ).
cnf(d0,plain,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c669,c757]) ).
cnf(d1,plain,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uHOL$uOminus$u$uclass$uOminus'(X0,X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c655,c752]) ).
cnf(d2,plain,
'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex') = 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c394,c747]) ).
cnf(d3,plain,
'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex') = 'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c643,c754]) ).
cnf(d4,plain,
( ~ 'class$uRing$u$uand$u$uField$uOdivision$u$uring'('tc$uComplex$uOcomplex')
| 'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'(X0,'tc$uComplex$uOcomplex'),X1,'tc$uComplex$uOcomplex') = 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'(X0,X1,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') ),
inference(resolution,[status(thm)],[c427,c742]) ).
cnf(d5,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'(X0,'tc$uComplex$uOcomplex'),X1,'tc$uComplex$uOcomplex') = 'c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'(X0,X1,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c747,d4]) ).
cnf(d6,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOinverse$u$uclass$uOinverse'(X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c624,c757]) ).
cnf(d7,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$un','tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[c673,d6]) ).
cnf(d8,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$un','tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'v$un','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'('c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'v$un','tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d10,c651]) ).
cnf(d12,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uFFT$u$uMirabelle$uOroot'('v$un'),'tc$uComplex$uOcomplex'),'v$uk','tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
( ~ 'class$uRing$u$uand$u$uField$uOidom'('tc$uComplex$uOcomplex')
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uHOL$uOminus$u$uclass$uOminus'(X0,X0,'tc$uComplex$uOcomplex') ),
inference(resolution,[status(thm)],[c659,c762]) ).
cnf(d17,plain,
( ~ 'class$uRing$u$uand$u$uField$uOidom'('tc$uComplex$uOcomplex')
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') ),
inference(demodulation,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c759,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV627-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Computer : n014.cluster.edu
% 0.10/0.45 % Model : x86_64 x86_64
% 0.10/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.45 % Memory : 8046.5625MB
% 0.10/0.45 % OS : Linux 6.8.0-71-generic
% 0.10/0.45 % CPULimit : 300
% 0.10/0.45 % WCLimit : 300
% 0.10/0.45 % DateTime : Sat Sep 26 14:38:46 UTC 2026
% 0.10/0.45 % CPUTime :
% 0.10/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.39/40.22 % SZS status Unsatisfiable for theBenchmark.p
% 27.39/40.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------