%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV617-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:04:28 AM UTC 2026
% Result : Unsatisfiable 11.83s 9.27s
% Output : CNFRefutation 11.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 18 unt; 0 nHn; 13 RR)
% Number of literals : 30 ( 17 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
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$uadd'(X0) ) ).
cnf(cls_divide__zero__left_0,axiom,
( 'c$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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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__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(c643,plain,
( '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$umult'(X0) ),
inference(clausification,[status(esa)],[cls_power__one_0]) ).
cnf(c651,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'(X0),X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_root__unity_0]) ).
cnf(c655,plain,
( 'c$uHOL$uOminus$u$uclass$uOminus'(X1,X1,X0) = 'c$uHOL$uOzero$u$uclass$uOzero'(X0)
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_eq__iff__diff__eq__0_0]) ).
cnf(c669,plain,
( 'c$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) ),
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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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(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(d0,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c669,c757]) ).
cnf(d1,plain,
'c$uHOL$uOminus$u$uclass$uOminus'(X0,X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c655,c752]) ).
cnf(d2,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c643,c754]) ).
cnf(d3,plain,
'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOminus$u$uclass$uOminus'('c$uPower$uOpower$u$uclass$uOpower'('c$uHOL$uOone$u$uclass$uOone'('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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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,c651]) ).
cnf(d4,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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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)],[d3,d2]) ).
cnf(d5,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$uFFT$u$uMirabelle$uOroot'('v$un'),'v$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)],[d4,d1]) ).
cnf(d6,plain,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV617-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 14:39:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.83/9.27 % SZS status Unsatisfiable for theBenchmark.p
% 11.83/9.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------