%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV592-1 : 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 : n007.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 09:04:26 AM UTC 2026
% Result : Unsatisfiable 53.67s 7.74s
% Output : CNFRefutation 53.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 22 unt; 0 nHn; 12 RR)
% Number of literals : 48 ( 25 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 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_class__semiring_Osemiring__rules_I24_J_0,axiom,
( 'c$uHOL$uOplus$u$uclass$uOplus'(X1,X2,X0) = 'c$uHOL$uOplus$u$uclass$uOplus'(X2,X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'(X0) ) ).
cnf(cls_diff__add__cancel_0,axiom,
( 'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOminus$u$uclass$uOminus'(X1,X2,X0),X2,X0) = X1
| ~ 'class$uOrderedGroup$uOgroup$u$uadd'(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_sin__periodic__pi2_0,axiom,
'c$uTranscendental$uOsin'('c$uHOL$uOplus$u$uclass$uOplus'('c$uTranscendental$uOpi',X0,'tc$uRealDef$uOreal')) = 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'(X0),'tc$uRealDef$uOreal') ).
cnf(cls_minus__equation__iff_1,axiom,
( 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uHOL$uOuminus$u$uclass$uOuminus'(X1,X0),X0) = X1
| ~ 'class$uOrderedGroup$uOgroup$u$uadd'(X0) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uTranscendental$uOsin'('c$uHOL$uOminus$u$uclass$uOminus'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')) != 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'('v$ux'),'tc$uRealDef$uOreal') ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'('tc$uRealDef$uOreal') ).
cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal') ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
'class$uOrderedGroup$uOgroup$u$uadd'('tc$uRealDef$uOreal') ).
cnf(c431,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(c480,plain,
( 'c$uHOL$uOplus$u$uclass$uOplus'(X1,X2,X0) = 'c$uHOL$uOplus$u$uclass$uOplus'(X2,X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'(X0) ),
inference(clausification,[status(esa)],[cls_class__semiring_Osemiring__rules_I24_J_0]) ).
cnf(c651,plain,
( 'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOminus$u$uclass$uOminus'(X1,X2,X0),X2,X0) = X1
| ~ 'class$uOrderedGroup$uOgroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_diff__add__cancel_0]) ).
cnf(c698,plain,
( 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOlower$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_inf__idem_0]) ).
cnf(c714,plain,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_real__le__refl_0]) ).
cnf(c847,plain,
'c$uTranscendental$uOsin'('c$uHOL$uOplus$u$uclass$uOplus'('c$uTranscendental$uOpi',X0,'tc$uRealDef$uOreal')) = 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'(X0),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_sin__periodic__pi2_0]) ).
cnf(c855,plain,
( 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uHOL$uOuminus$u$uclass$uOuminus'(X1,X0),X0) = X1
| ~ 'class$uOrderedGroup$uOgroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_minus__equation__iff_1]) ).
cnf(c861,plain,
'c$uTranscendental$uOsin'('c$uHOL$uOminus$u$uclass$uOminus'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')) != 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'('v$ux'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c886,plain,
'class$uRing$u$uand$u$uField$uOcomm$u$usemiring$u$u1'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(c900,plain,
'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice]) ).
cnf(c911,plain,
'class$uOrderedGroup$uOgroup$u$uadd'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).
cnf(d0,plain,
'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uHOL$uOuminus$u$uclass$uOuminus'(X0,'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') = X0,
inference(resolution,[status(thm)],[c855,c911]) ).
cnf(d1,plain,
'c$uHOL$uOplus$u$uclass$uOplus'(X0,X1,'tc$uRealDef$uOreal') = 'c$uHOL$uOplus$u$uclass$uOplus'(X1,X0,'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c480,c886]) ).
cnf(d2,plain,
'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOminus$u$uclass$uOminus'(X0,X1,'tc$uRealDef$uOreal'),X1,'tc$uRealDef$uOreal') = X0,
inference(resolution,[status(thm)],[c651,c911]) ).
cnf(d3,plain,
'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOminus$u$uclass$uOminus'(X0,X1,'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') = X0,
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'c$uTranscendental$uOsin'(X0) = 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'('c$uHOL$uOminus$u$uclass$uOminus'(X0,'c$uTranscendental$uOpi','tc$uRealDef$uOreal')),'tc$uRealDef$uOreal'),
inference(superposition,[status(thm)],[d3,c847]) ).
cnf(d5,plain,
'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'(X0),'tc$uRealDef$uOreal') = 'c$uTranscendental$uOsin'('c$uHOL$uOminus$u$uclass$uOminus'(X0,'c$uTranscendental$uOpi','tc$uRealDef$uOreal')),
inference(superposition,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'('v$ux'),'tc$uRealDef$uOreal') != 'c$uHOL$uOuminus$u$uclass$uOuminus'('c$uTranscendental$uOsin'('v$ux'),'tc$uRealDef$uOreal'),
inference(demodulation,[status(thm)],[c861,d5]) ).
cnf(d7,plain,
'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X0,X0,'tc$uRealDef$uOreal') = X0,
inference(resolution,[status(thm)],[c698,c900]) ).
cnf(d8,plain,
( ~ 'class$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)],[c431,c714]) ).
cnf(d9,plain,
( ~ 'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal')
| X0 = X0 ),
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
X0 = X0,
inference(resolution,[status(thm)],[c900,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV592-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 14:32:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.67/7.74 % SZS status Unsatisfiable for theBenchmark.p
% 53.67/7.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------