%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA012-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 06:50:36 AM UTC 2026
% Result : Unsatisfiable 156.99s 24.41s
% Output : CNFRefutation 156.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 16 unt; 2 nHn; 28 RR)
% Number of literals : 59 ( 11 equ; 33 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 34 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( 'c$uHOL$uOabs'('c$utimes'(X1,X2,X0),X0) = 'c$utimes'('c$uHOL$uOabs'(X1,X0),'c$uHOL$uOabs'(X2,X0),X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'v$uc' != 'c$u0' ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$ulessequals'('c$u1','c$utimes'(X0,'c$uHOL$uOabs'('v$uc','t$ua'),'t$ua'),'t$ua') ).
cnf(tfree_tcs,negated_conjecture,
'class$uRing$u$uand$u$uField$uOordered$u$ufield'('t$ua') ).
cnf(cls_Ring__and__Field_Oabs__one_0,axiom,
( 'c$uHOL$uOabs'('c$u1',X0) = 'c$u1'
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( 'c$utimes'('c$uHOL$uOinverse'(X1,X0),X1,X0) = 'c$u1'
| X1 = 'c$u0'
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ) ).
cnf(cls_SetInterval_OgreaterThan__subset__iff_0,axiom,
( 'c$ulessequals'(X2,X1,X0)
| ~ 'c$ulessequals'('c$uSetInterval$uOgreaterThan'(X1,X0),'c$uSetInterval$uOgreaterThan'(X2,X0),'tc$uset'(X0))
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( 'class$uRing$u$uand$u$uField$uOfield'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$ufield'(X0) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$ufield'(X0) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_41,axiom,
( 'class$uOrderings$uOlinorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$ufield'(X0) ) ).
cnf(c0,plain,
( 'c$uHOL$uOabs'('c$utimes'(X1,X2,X0),X0) = 'c$utimes'('c$uHOL$uOabs'(X1,X0),'c$uHOL$uOabs'(X2,X0),X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[cls_Ring__and__Field_Oabs__mult_0]) ).
cnf(c3,plain,
'v$uc' != 'c$u0',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c4,plain,
~ 'c$ulessequals'('c$u1','c$utimes'(X0,'c$uHOL$uOabs'('v$uc','t$ua'),'t$ua'),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c5,plain,
'class$uRing$u$uand$u$uField$uOordered$u$ufield'('t$ua'),
inference(clausification,[status(esa)],[tfree_tcs]) ).
cnf(c1293,plain,
( 'c$uHOL$uOabs'('c$u1',X0) = 'c$u1'
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[cls_Ring__and__Field_Oabs__one_0]) ).
cnf(c1327,plain,
( 'c$utimes'('c$uHOL$uOinverse'(X1,X0),X1,X0) = 'c$u1'
| X1 = 'c$u0'
| ~ 'class$uRing$u$uand$u$uField$uOfield'(X0) ),
inference(clausification,[status(esa)],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0]) ).
cnf(c1459,plain,
( 'c$ulessequals'(X2,X1,X0)
| ~ 'c$ulessequals'('c$uSetInterval$uOgreaterThan'(X1,X0),'c$uSetInterval$uOgreaterThan'(X2,X0),'tc$uset'(X0))
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[cls_SetInterval_OgreaterThan__subset__iff_0]) ).
cnf(c1738,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(c2361,plain,
( 'class$uRing$u$uand$u$uField$uOfield'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$ufield'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_0]) ).
cnf(c2389,plain,
( 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$ufield'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_34]) ).
cnf(c2397,plain,
( 'class$uOrderings$uOlinorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$ufield'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__field_41]) ).
cnf(d0,plain,
( ~ 'class$uOrderings$uOlinorder'(X1)
| 'c$ulessequals'(X0,X0,X1) ),
inference(resolution,[status(thm)],[c1459,c1738]) ).
cnf(d1,plain,
( ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ua')
| ~ 'c$ulessequals'('c$u1','c$uHOL$uOabs'('c$utimes'(X0,'v$uc','t$ua'),'t$ua'),'t$ua') ),
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d2,plain,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ua'),
inference(resolution,[status(thm)],[c2389,c5]) ).
cnf(d3,plain,
~ 'c$ulessequals'('c$u1','c$uHOL$uOabs'('c$utimes'(X0,'v$uc','t$ua'),'t$ua'),'t$ua'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'class$uRing$u$uand$u$uField$uOfield'('t$ua')
| 'v$uc' = 'c$u0'
| ~ 'c$ulessequals'('c$u1','c$uHOL$uOabs'('c$u1','t$ua'),'t$ua') ),
inference(superposition,[status(thm)],[c1327,d3]) ).
cnf(d5,plain,
( ~ 'class$uRing$u$uand$u$uField$uOfield'('t$ua')
| ~ 'c$ulessequals'('c$u1','c$uHOL$uOabs'('c$u1','t$ua'),'t$ua') ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
'class$uRing$u$uand$u$uField$uOfield'('t$ua'),
inference(resolution,[status(thm)],[c2361,c5]) ).
cnf(d7,plain,
~ 'c$ulessequals'('c$u1','c$uHOL$uOabs'('c$u1','t$ua'),'t$ua'),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ua')
| ~ 'c$ulessequals'('c$u1','c$u1','t$ua') ),
inference(superposition,[status(thm)],[c1293,d7]) ).
cnf(d9,plain,
~ 'c$ulessequals'('c$u1','c$u1','t$ua'),
inference(resolution,[status(thm)],[d2,d8]) ).
cnf(d10,plain,
~ 'class$uOrderings$uOlinorder'('t$ua'),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
'class$uOrderings$uOlinorder'('t$ua'),
inference(resolution,[status(thm)],[c2397,c5]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA012-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 22:07:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 156.99/24.41 % SZS status Unsatisfiable for theBenchmark.p
% 156.99/24.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------