%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV598-1 : 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 : n003.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 84.98s 24.64s
% Output : CNFRefutation 84.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 49 ( 25 unt; 5 nHn; 37 RR)
% Number of literals : 86 ( 32 equ; 47 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__less__def_2,axiom,
( ~ 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal')
| X0 = X1
| 'c$uHOL$uOord$u$uclass$uOless'(X0,X1,'tc$uRealDef$uOreal') ) ).
cnf(cls_real__mult__commute_0,axiom,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$uRealDef$uOreal') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X0,'tc$uRealDef$uOreal') ).
cnf(cls_not__leE_0,axiom,
( 'c$ulessequals'(X2,X1,X0)
| 'c$uHOL$uOord$u$uclass$uOless'(X1,X2,X0)
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
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_0_0,axiom,
'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ux','tc$uRealDef$uOreal') ).
cnf(cls_CHAINED_0,axiom,
'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'c$uTranscendental$uOpi','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ).
cnf(cls_CHAINED_0_02,axiom,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uTranscendental$uOpi','v$ux','tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'c$uTranscendental$uOpi','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| 'c$uTranscendental$uOsin'('v$ux') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ) ).
cnf(cls_CHAINED_0_03,axiom,
( 'v$ux' != 'c$uTranscendental$uOpi'
| 'c$uTranscendental$uOcos'('v$ux') != 'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal') ) ).
cnf(cls_CHAINED_0_04,axiom,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ux','tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')
| 'c$uTranscendental$uOsin'('v$ux') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uTranscendental$uOsin'('v$ux') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uTranscendental$uOcos'('v$ux') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal') ).
cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal') ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal') ).
cnf(c110,plain,
( ~ 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal')
| X0 = X1
| 'c$uHOL$uOord$u$uclass$uOless'(X0,X1,'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_real__less__def_2]) ).
cnf(c393,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$uRealDef$uOreal') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X0,'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_real__mult__commute_0]) ).
cnf(c523,plain,
( 'c$ulessequals'(X2,X1,X0)
| 'c$uHOL$uOord$u$uclass$uOless'(X1,X2,X0)
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[cls_not__leE_0]) ).
cnf(c564,plain,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X1,X2,X0) = X2
| ~ 'class$uLattices$uOlower$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_inf__absorb2_0]) ).
cnf(c1046,plain,
( 'c$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(c1062,plain,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_real__le__refl_0]) ).
cnf(c1205,plain,
'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ux','tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_0_0]) ).
cnf(c1215,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'c$uTranscendental$uOpi','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c1217,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uTranscendental$uOpi','v$ux','tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'c$uTranscendental$uOpi','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| 'c$uTranscendental$uOsin'('v$ux') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_CHAINED_0_02]) ).
cnf(c1218,plain,
( 'v$ux' != 'c$uTranscendental$uOpi'
| 'c$uTranscendental$uOcos'('v$ux') != 'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_CHAINED_0_03]) ).
cnf(c1219,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ux','tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')
| 'c$uTranscendental$uOsin'('v$ux') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_CHAINED_0_04]) ).
cnf(c1220,plain,
'c$uTranscendental$uOsin'('v$ux') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1221,plain,
'c$uTranscendental$uOcos'('v$ux') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1265,plain,
'class$uLattices$uOlower$u$usemilattice'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice]) ).
cnf(c1288,plain,
'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[clsarity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(d0,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'c$uTranscendental$uOpi','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uTranscendental$uOpi','v$ux','tc$uRealDef$uOreal')
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(demodulation,[status(thm)],[c1217,c1220]) ).
cnf(d1,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uTranscendental$uOpi','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uTranscendental$uOpi','v$ux','tc$uRealDef$uOreal')
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(demodulation,[status(thm)],[d0,c393]) ).
cnf(d2,plain,
'c$uLattices$uOlower$u$usemilattice$u$uclass$uOinf'(X0,X0,'tc$uRealDef$uOreal') = X0,
inference(resolution,[status(thm)],[c1046,c1265]) ).
cnf(d3,plain,
( ~ 'class$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)],[c564,c1062]) ).
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)],[c1265,d4]) ).
cnf(d6,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uTranscendental$uOpi','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uTranscendental$uOpi','v$ux','tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uTranscendental$uOpi','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(demodulation,[status(thm)],[c1215,c393]) ).
cnf(d8,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('c$uTranscendental$uOpi','v$ux','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ 'class$uOrderings$uOlinorder'('tc$uRealDef$uOreal')
| 'c$ulessequals'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d8,c523]) ).
cnf(d10,plain,
'c$ulessequals'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c1288,d9]) ).
cnf(d11,plain,
( 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')
| 'v$ux' = 'c$uTranscendental$uOpi' ),
inference(resolution,[status(thm)],[d10,c110]) ).
cnf(d12,plain,
( 'v$ux' != 'c$uTranscendental$uOpi'
| 'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal') != 'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal') ),
inference(demodulation,[status(thm)],[c1218,c1221]) ).
cnf(d13,plain,
'v$ux' != 'c$uTranscendental$uOpi',
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ux','tc$uRealDef$uOreal')
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(demodulation,[status(thm)],[c1219,c1220]) ).
cnf(d16,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal')
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c1205,d15]) ).
cnf(d17,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('v$ux','c$uTranscendental$uOpi','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d5,d16]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV598-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n003.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sat Sep 26 14:37:35 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.98/24.64 % SZS status Unsatisfiable for theBenchmark.p
% 84.98/24.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------