%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV629-1 : 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 : n012.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 22.07s 4.06s
% Output : CNFRefutation 22.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_power__one__right_0,axiom,
( 'c$uPower$uOpower$u$uclass$uOpower'(X1,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),X0) = X1
| ~ 'class$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$uOcomplex') ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')) != 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
'class$uOrderedGroup$uOmonoid$u$umult'('tc$uComplex$uOcomplex') ).
cnf(c310,plain,
( 'c$uPower$uOpower$u$uclass$uOpower'(X1,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),X0) = X1
| ~ 'class$uOrderedGroup$uOmonoid$u$umult'(X0) ),
inference(clausification,[status(esa)],[cls_power__one__right_0]) ).
cnf(c333,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'(X0),X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_root__unity_0]) ).
cnf(c351,plain,
'c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')) != 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c382,plain,
'class$uOrderedGroup$uOmonoid$u$umult'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).
cnf(d0,plain,
'c$uPower$uOpower$u$uclass$uOpower'(X0,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$uComplex$uOcomplex') = X0,
inference(resolution,[status(thm)],[c310,c382]) ).
cnf(d1,plain,
'c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')) = 'c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),
inference(superposition,[status(thm)],[d0,c333]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c351,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sat Sep 26 14:38:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.07/4.06 % SZS status Unsatisfiable for theBenchmark.p
% 22.07/4.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------