%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG410-1 : 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 : n010.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 06:48:27 AM UTC 2026
% Result : Unsatisfiable 33.72s 19.55s
% Output : CNFRefutation 33.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 3 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
( 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X2,X0) = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X2,X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'(X0) ) ).
cnf(cls_CHAINED_0,axiom,
'c$uHOL$uOord$u$uclass$uOless'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOsmult'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uComplex$uOcomplex'),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uRealVector$uOof$u$ureal'('v$ut','tc$uComplex$uOcomplex'),'v$uw','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uHOL$uOord$u$uclass$uOless'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOsmult'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'('tc$uComplex$uOcomplex') ).
cnf(c95,plain,
( 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X2,X0) = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X2,X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'(X0) ),
inference(clausification,[status(esa)],[cls_class__semiring_Osemiring__rules_I7_J_0]) ).
cnf(c613,plain,
'c$uHOL$uOord$u$uclass$uOless'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOsmult'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uComplex$uOcomplex'),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uRealVector$uOof$u$ureal'('v$ut','tc$uComplex$uOcomplex'),'v$uw','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c614,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOsmult'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c711,plain,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(d0,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$uComplex$uOcomplex') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c95,c711]) ).
cnf(d1,plain,
'c$uHOL$uOord$u$uclass$uOless'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOsmult'('c$uHOL$uOinverse$u$uclass$uOinverse'('c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uComplex$uOcomplex'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$uw','c$uRealVector$uOof$u$ureal'('v$ut','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(demodulation,[status(thm)],[c613,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c614,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG410-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.38 % Computer : n010.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Sat Sep 26 21:59:04 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.72/19.55 % SZS status Unsatisfiable for theBenchmark.p
% 33.72/19.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------