%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG434-1 : 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 : n005.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 27.65s 12.31s
% Output : CNFRefutation 27.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_dvd__smult_0,axiom,
( ~ 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'(X1,X3,'tc$uPolynomial$uOpoly'(X0))
| 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'(X1,'c$uPolynomial$uOsmult'(X2,X3,X0),'tc$uPolynomial$uOpoly'(X0))
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'(X0) ) ).
cnf(cls_pq_0,axiom,
'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'('v$up','v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'('v$up','c$uPolynomial$uOsmult'('v$ua','v$uq','tc$uComplex$uOcomplex'),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'('tc$uComplex$uOcomplex') ).
cnf(c366,plain,
( ~ 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'(X1,X3,'tc$uPolynomial$uOpoly'(X0))
| 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'(X1,'c$uPolynomial$uOsmult'(X2,X3,X0),'tc$uPolynomial$uOpoly'(X0))
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'(X0) ),
inference(clausification,[status(esa)],[cls_dvd__smult_0]) ).
cnf(c370,plain,
'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'('v$up','v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[cls_pq_0]) ).
cnf(c374,plain,
~ 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'('v$up','c$uPolynomial$uOsmult'('v$ua','v$uq','tc$uComplex$uOcomplex'),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c382,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,
( ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'('tc$uComplex$uOcomplex')
| ~ 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'('v$up','v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ),
inference(resolution,[status(thm)],[c366,c374]) ).
cnf(d1,plain,
~ 'c$uRing$u$uand$u$uField$uOdvd$u$uclass$uOdvd'('v$up','v$uq','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(resolution,[status(thm)],[c382,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c370,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG434-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n005.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 21:59:52 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.65/12.31 % SZS status Unsatisfiable for theBenchmark.p
% 27.65/12.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------