%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG425-1 : 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 : n020.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 19.66s 11.77s
% Output : CNFRefutation 19.66s
% 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 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inverse__eq__divide_0,axiom,
( 'c$uHOL$uOinverse$u$uclass$uOinverse'(X1,X0) = 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'(X0),X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ) ).
cnf(cls_CHAINED_0,axiom,
'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) = 'c$uHOL$uOtimes$u$uclass$uOtimes'('v$upa','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'v$uc','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) != 'c$uHOL$uOtimes$u$uclass$uOtimes'('v$upa',X0,'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
'class$uRing$u$uand$u$uField$uOfield'('tc$uComplex$uOcomplex') ).
cnf(c210,plain,
( 'c$uHOL$uOinverse$u$uclass$uOinverse'(X1,X0) = 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'(X0),X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ),
inference(clausification,[status(esa)],[cls_inverse__eq__divide_0]) ).
cnf(c677,plain,
'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) = 'c$uHOL$uOtimes$u$uclass$uOtimes'('v$upa','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),'v$uc','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c678,plain,
'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) != 'c$uHOL$uOtimes$u$uclass$uOtimes'('v$upa',X0,'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c739,plain,
'class$uRing$u$uand$u$uField$uOfield'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).
cnf(d0,plain,
'c$uHOL$uOinverse$u$uclass$uOinverse'(X0,'tc$uComplex$uOcomplex') = 'c$uHOL$uOinverse$u$uclass$uOdivide'('c$uHOL$uOone$u$uclass$uOone'('tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c210,c739]) ).
cnf(d1,plain,
'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) = 'c$uHOL$uOtimes$u$uclass$uOtimes'('v$upa','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uPolynomial$uOpCons'('c$uHOL$uOinverse$u$uclass$uOinverse'('v$uc','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'c$uPower$uOpower$u$uclass$uOpower'('v$uqa','v$una','tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(demodulation,[status(thm)],[c677,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c678,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG425-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n020.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Sat Sep 26 22:00:55 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.66/11.77 % SZS status Unsatisfiable for theBenchmark.p
% 19.66/11.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------