%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG438-1 : 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 : n008.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 06:48:29 AM UTC 2026
% Result : Unsatisfiable 67.22s 10.53s
% Output : CNFRefutation 67.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 5 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mult__pCons__left_0,axiom,
( 'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'(X1,X2,X0),X3,'tc$uPolynomial$uOpoly'(X0)) = 'c$uHOL$uOplus$u$uclass$uOplus'('c$uPolynomial$uOsmult'(X1,X3,X0),'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'(X0),'c$uHOL$uOtimes$u$uclass$uOtimes'(X2,X3,'tc$uPolynomial$uOpoly'(X0)),X0),'tc$uPolynomial$uOpoly'(X0))
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u0'(X0) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('v$ua','c$uPolynomial$uOpCons'('v$ub','v$up','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) != 'c$uHOL$uOplus$u$uclass$uOplus'('c$uPolynomial$uOsmult'('v$ua','v$uq','tc$uComplex$uOcomplex'),'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('v$ub','v$up','tc$uComplex$uOcomplex'),'v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u0'('tc$uComplex$uOcomplex') ).
cnf(c247,plain,
( 'c$uHOL$uOplus$u$uclass$uOplus'('c$uPolynomial$uOsmult'(X1,X2,X0),'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'(X0),'c$uHOL$uOtimes$u$uclass$uOtimes'(X3,X2,'tc$uPolynomial$uOpoly'(X0)),X0),'tc$uPolynomial$uOpoly'(X0)) = 'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'(X1,X3,X0),X2,'tc$uPolynomial$uOpoly'(X0))
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u0'(X0) ),
inference(clausification,[status(esa)],[cls_mult__pCons__left_0]) ).
cnf(c330,plain,
'c$uHOL$uOplus$u$uclass$uOplus'('c$uPolynomial$uOsmult'('v$ua','v$uq','tc$uComplex$uOcomplex'),'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('v$ub','v$up','tc$uComplex$uOcomplex'),'v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) != 'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('v$ua','c$uPolynomial$uOpCons'('v$ub','v$up','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c341,plain,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u0'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(d0,plain,
'c$uHOL$uOplus$u$uclass$uOplus'('c$uPolynomial$uOsmult'(X0,X1,'tc$uComplex$uOcomplex'),'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'c$uHOL$uOtimes$u$uclass$uOtimes'(X2,X1,'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) = 'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'(X0,X2,'tc$uComplex$uOcomplex'),X1,'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(resolution,[status(thm)],[c247,c341]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.78 % Computer : n008.cluster.edu
% 0.09/0.78 % Model : x86_64 x86_64
% 0.09/0.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.78 % Memory : 8046.5625MB
% 0.09/0.78 % OS : Linux 6.8.0-71-generic
% 0.09/0.78 % CPULimit : 300
% 0.09/0.78 % WCLimit : 300
% 0.09/0.78 % DateTime : Sat Sep 26 22:02:13 UTC 2026
% 0.09/0.79 % CPUTime :
% 0.09/0.79 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.22/10.53 % SZS status Unsatisfiable for theBenchmark.p
% 67.22/10.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------