%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG439-1 : 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 : n019.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 06:48:30 AM UTC 2026
% Result : Unsatisfiable 44.57s 6.51s
% Output : CNFRefutation 44.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 12 unt; 3 nHn; 15 RR)
% Number of literals : 40 ( 27 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inf__absorb2_0,axiom,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X1,X2,X0) = X2
| ~ 'class$uLattices$uOlower$u$usemilattice'(X0) ) ).
cnf(cls_inf__idem_0,axiom,
( 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOlower$u$usemilattice'(X0) ) ).
cnf(cls_real__le__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal') ).
cnf(cls_resolve__eq__raw_I2_J_0,axiom,
'c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),X1,'tc$uComplex$uOcomplex') = X0 ).
cnf(cls_conjecture_0,negated_conjecture,
( 'c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'v$ux','tc$uComplex$uOcomplex') != 'v$uy'
| 'v$uc' != 'v$uy' ) ).
cnf(cls_conjecture_1,negated_conjecture,
( 'v$uc' = 'v$uy'
| 'c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'v$ux','tc$uComplex$uOcomplex') = 'v$uy' ) ).
cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal') ).
cnf(c315,plain,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X1,X2,X0) = X2
| ~ 'class$uLattices$uOlower$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_inf__absorb2_0]) ).
cnf(c590,plain,
( 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOlower$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_inf__idem_0]) ).
cnf(c600,plain,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_real__le__refl_0]) ).
cnf(c732,plain,
'c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),X1,'tc$uComplex$uOcomplex') = X0,
inference(clausification,[status(esa)],[cls_resolve__eq__raw_I2_J_0]) ).
cnf(c734,plain,
( 'c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'v$ux','tc$uComplex$uOcomplex') != 'v$uy'
| 'v$uc' != 'v$uy' ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c735,plain,
( 'v$uc' = 'v$uy'
| 'c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','c$uHOL$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'tc$uComplex$uOcomplex'),'v$ux','tc$uComplex$uOcomplex') = 'v$uy' ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c815,plain,
'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice]) ).
cnf(d0,plain,
( 'v$uc' = 'v$uy'
| 'v$uc' = 'v$uy' ),
inference(demodulation,[status(thm)],[c735,c732]) ).
cnf(d1,plain,
( 'v$uc' = 'v$uy'
| 'v$uc' != 'v$uc' ),
inference(equality_factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X0,X0,'tc$uRealDef$uOreal') = X0,
inference(resolution,[status(thm)],[c590,c815]) ).
cnf(d3,plain,
( ~ 'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal')
| 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X0,X0,'tc$uRealDef$uOreal') = X0 ),
inference(resolution,[status(thm)],[c315,c600]) ).
cnf(d4,plain,
( ~ 'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal')
| X0 = X0 ),
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
X0 = X0,
inference(resolution,[status(thm)],[c815,d4]) ).
cnf(d6,plain,
'v$uc' = 'v$uy',
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( 'v$uc' != 'v$uy'
| 'v$uc' != 'v$uy' ),
inference(demodulation,[status(thm)],[c734,c732]) ).
cnf(d8,plain,
'v$uc' != 'v$uy',
inference(resolution,[status(thm)],[d6,d7]) ).
cnf(d9,plain,
'v$uc' != 'v$uc',
inference(demodulation,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d5,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG439-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.87 % Computer : n019.cluster.edu
% 0.19/0.87 % Model : x86_64 x86_64
% 0.19/0.87 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.87 % Memory : 8046.5625MB
% 0.19/0.87 % OS : Linux 6.8.0-71-generic
% 0.19/0.87 % CPULimit : 300
% 0.19/0.87 % WCLimit : 300
% 0.19/0.87 % DateTime : Sat Sep 26 22:01:35 UTC 2026
% 0.19/0.87 % CPUTime :
% 0.19/0.87 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.57/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 44.57/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------