%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG396-1 : 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 06:48:26 AM UTC 2026
% Result : Unsatisfiable 33.18s 9.31s
% Output : CNFRefutation 33.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 8 RR)
% Number of literals : 26 ( 13 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_min__max_Oinf__idem_0,axiom,
( 'c$uOrderings$uOord$u$uclass$uOmin'(X1,X1,X0) = X1
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(cls_min__max_Ole__iff__inf_0,axiom,
( ~ 'c$ulessequals'(X1,X2,X0)
| 'c$uOrderings$uOord$u$uclass$uOmin'(X1,X2,X0) = X1
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(cls_real__le__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal') ).
cnf(cls_th_0,axiom,
'c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOminus$u$uclass$uOminus'(X0,'v$uc','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') = 'c$uPolynomial$uOpoly'('v$upa',X0,'tc$uComplex$uOcomplex') ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uPolynomial$uOpoly'('v$upa','v$ux','tc$uComplex$uOcomplex') != 'c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOminus$u$uclass$uOminus'('v$ux','v$uc','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal') ).
cnf(c122,plain,
( 'c$uOrderings$uOord$u$uclass$uOmin'(X1,X1,X0) = X1
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[cls_min__max_Oinf__idem_0]) ).
cnf(c256,plain,
( ~ 'c$ulessequals'(X1,X2,X0)
| 'c$uOrderings$uOord$u$uclass$uOmin'(X1,X2,X0) = X1
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[cls_min__max_Ole__iff__inf_0]) ).
cnf(c622,plain,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_real__le__refl_0]) ).
cnf(c662,plain,
'c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOminus$u$uclass$uOminus'(X0,'v$uc','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') = 'c$uPolynomial$uOpoly'('v$upa',X0,'tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_th_0]) ).
cnf(c708,plain,
'c$uPolynomial$uOpoly'('v$upa','v$ux','tc$uComplex$uOcomplex') != 'c$uPolynomial$uOpoly'('v$uq','c$uHOL$uOminus$u$uclass$uOminus'('v$ux','v$uc','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c795,plain,
'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(d0,plain,
'c$uPolynomial$uOpoly'('v$upa','v$ux','tc$uComplex$uOcomplex') != 'c$uPolynomial$uOpoly'('v$upa','v$ux','tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[c708,c662]) ).
cnf(d1,plain,
'c$uOrderings$uOord$u$uclass$uOmin'(X0,X0,'tc$uRealDef$uOreal') = X0,
inference(resolution,[status(thm)],[c122,c795]) ).
cnf(d2,plain,
( ~ 'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOmin'(X0,X0,'tc$uRealDef$uOreal') = X0 ),
inference(resolution,[status(thm)],[c256,c622]) ).
cnf(d3,plain,
( ~ 'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal')
| X0 = X0 ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
X0 = X0,
inference(resolution,[status(thm)],[c795,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG396-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 21:58:19 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.18/9.31 % SZS status Unsatisfiable for theBenchmark.p
% 33.18/9.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------