%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG417-1 : 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 : n015.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 06:48:28 AM UTC 2026
% Result : Unsatisfiable 31.54s 15.27s
% Output : CNFRefutation 31.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 12 unt; 0 nHn; 14 RR)
% Number of literals : 16 ( 11 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_pCons__0__0_0,axiom,
( 'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'(X0),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'(X0)),X0) = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'(X0))
| ~ 'class$uHOL$uOzero'(X0) ) ).
cnf(cls_sne_0,axiom,
'v$us' != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
cnf(cls_kpn_0,axiom,
'v$us' = 'c$uPolynomial$uOpCons'('v$uk','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex') ).
cnf(cls_conjecture_0,negated_conjecture,
'v$uk' = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') ).
cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
'class$uHOL$uOzero'('tc$uComplex$uOcomplex') ).
cnf(c226,plain,
( 'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'(X0),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'(X0)),X0) = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'(X0))
| ~ 'class$uHOL$uOzero'(X0) ),
inference(clausification,[status(esa)],[cls_pCons__0__0_0]) ).
cnf(c298,plain,
'v$us' != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[cls_sne_0]) ).
cnf(c355,plain,
'v$us' = 'c$uPolynomial$uOpCons'('v$uk','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_kpn_0]) ).
cnf(c409,plain,
'v$uk' = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c503,plain,
'class$uHOL$uOzero'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__HOL_Ozero]) ).
cnf(d0,plain,
'c$uPolynomial$uOpCons'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(resolution,[status(thm)],[c226,c503]) ).
cnf(d1,plain,
'c$uPolynomial$uOpCons'('v$uk','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(demodulation,[status(thm)],[d0,c409]) ).
cnf(d2,plain,
'v$us' = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(demodulation,[status(thm)],[d1,c355]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c298,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG417-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.40 % Computer : n015.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Sat Sep 26 22:02:05 UTC 2026
% 0.17/5.40 % CPUTime :
% 0.17/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.54/15.27 % SZS status Unsatisfiable for theBenchmark.p
% 31.54/15.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------