%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV573-1 : 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 : n004.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 09:04:24 AM UTC 2026
% Result : Unsatisfiable 10.33s 13.26s
% Output : CNFRefutation 10.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 18 unt; 0 nHn; 13 RR)
% Number of literals : 36 ( 17 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
( 'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOzero$u$uclass$uOzero'(X0),X0) = X1
| ~ 'class$uOrderedGroup$uOmonoid$u$uadd'(X0) ) ).
cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
( X1 = 'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOzero$u$uclass$uOzero'(X0),X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOidom'(X0) ) ).
cnf(cls_complex__eq__cancel__iff2_2,axiom,
'c$uComplex$uOcomplex$uOComplex'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) = 'c$uRealVector$uOof$u$ureal'(X0,'tc$uComplex$uOcomplex') ).
cnf(cls_of__real__of__nat__eq_0,axiom,
( 'c$uRealVector$uOof$u$ureal'('c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'(X1,'tc$uRealDef$uOreal'),X0) = 'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'(X1,X0)
| ~ 'class$uRealVector$uOreal$u$ualgebra$u$u1'(X0) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uComplex$uOcomplex') != 'c$uComplex$uOcomplex$uOComplex'('c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uRealDef$uOreal'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
'class$uOrderedGroup$uOmonoid$u$uadd'('tc$uInt$uOint') ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
'class$uRing$u$uand$u$uField$uOidom'('tc$uInt$uOint') ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
'class$uInt$uOnumber$u$uring'('tc$uInt$uOint') ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
'class$uRealVector$uOreal$u$ualgebra$u$u1'('tc$uComplex$uOcomplex') ).
cnf(c994,plain,
( 'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOzero$u$uclass$uOzero'(X0),X0) = X1
| ~ 'class$uOrderedGroup$uOmonoid$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_monoid__add__class_Oadd__0__right_0]) ).
cnf(c997,plain,
( X1 = 'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOzero$u$uclass$uOzero'(X0),X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOidom'(X0) ),
inference(clausification,[status(esa)],[cls_class__ringb_Oadd__r0__iff_1]) ).
cnf(c1053,plain,
'c$uComplex$uOcomplex$uOComplex'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')) = 'c$uRealVector$uOof$u$ureal'(X0,'tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_complex__eq__cancel__iff2_2]) ).
cnf(c1060,plain,
( 'c$uRealVector$uOof$u$ureal'('c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'(X1,'tc$uRealDef$uOreal'),X0) = 'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'(X1,X0)
| ~ 'class$uRealVector$uOreal$u$ualgebra$u$u1'(X0) ),
inference(clausification,[status(esa)],[cls_of__real__of__nat__eq_0]) ).
cnf(c1067,plain,
'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uComplex$uOcomplex') != 'c$uComplex$uOcomplex$uOComplex'('c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uRealDef$uOreal'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1139,plain,
'class$uOrderedGroup$uOmonoid$u$uadd'('tc$uInt$uOint'),
inference(clausification,[status(esa)],[clsarity_Int__Oint__OrderedGroup_Omonoid__add]) ).
cnf(c1145,plain,
'class$uRing$u$uand$u$uField$uOidom'('tc$uInt$uOint'),
inference(clausification,[status(esa)],[clsarity_Int__Oint__Ring__and__Field_Oidom]) ).
cnf(c1152,plain,
'class$uInt$uOnumber$u$uring'('tc$uInt$uOint'),
inference(clausification,[status(esa)],[clsarity_Int__Oint__Int_Onumber__ring]) ).
cnf(c1243,plain,
'class$uRealVector$uOreal$u$ualgebra$u$u1'('tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1]) ).
cnf(d0,plain,
'c$uRealVector$uOof$u$ureal'('c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'(X0,'tc$uRealDef$uOreal'),'tc$uComplex$uOcomplex') = 'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'(X0,'tc$uComplex$uOcomplex'),
inference(resolution,[status(thm)],[c1060,c1243]) ).
cnf(d1,plain,
'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uComplex$uOcomplex') != 'c$uRealVector$uOof$u$ureal'('c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uRealDef$uOreal'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[c1067,c1053]) ).
cnf(d2,plain,
'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uComplex$uOcomplex') != 'c$uNat$uOsemiring$u$u1$u$uclass$uOof$u$unat'('v$un','tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'c$uHOL$uOplus$u$uclass$uOplus'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$uInt$uOint'),'tc$uInt$uOint') = X0,
inference(resolution,[status(thm)],[c994,c1139]) ).
cnf(d4,plain,
( ~ 'class$uInt$uOnumber$u$uring'('tc$uInt$uOint')
| X0 = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$uInt$uOint'),'tc$uInt$uOint') ),
inference(resolution,[status(thm)],[c997,c1145]) ).
cnf(d5,plain,
( ~ 'class$uInt$uOnumber$u$uring'('tc$uInt$uOint')
| X0 = X0 ),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
X0 = X0,
inference(resolution,[status(thm)],[c1152,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV573-1 : 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 : n004.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 14:31:36 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.33/13.26 % SZS status Unsatisfiable for theBenchmark.p
% 10.33/13.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------