%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG369-1 : 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 : n017.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 06:48:23 AM UTC 2026
% Result : Unsatisfiable 52.19s 25.40s
% Output : CNFRefutation 52.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),X0,'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| 'v$uthesis' ) ).
cnf(cls_CHAINED_2,axiom,
'c$uHOL$uOord$u$uclass$uOless'('v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ).
cnf(cls_CHAINED_1,axiom,
'c$uHOL$uOord$u$uclass$uOless'('v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ).
cnf(cls_CHAINED_0,axiom,
'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'tc$uRealDef$uOreal') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c514,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),X0,'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| 'v$uthesis'
| ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c565,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_2]) ).
cnf(c566,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_1]) ).
cnf(c567,plain,
'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c568,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),X0,'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,'c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c568,c514]) ).
cnf(d1,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'tc$uRealDef$uOreal')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d0,c566]) ).
cnf(d2,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('v$usko$u$uCHAINED$u$u1'('v$ue','v$um'),'c$uHOL$uOinverse$u$uclass$uOdivide'('v$ue','v$um','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c567,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c565,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG369-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.58 % Computer : n017.cluster.edu
% 0.12/5.58 % Model : x86_64 x86_64
% 0.12/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.58 % Memory : 8046.5625MB
% 0.12/5.58 % OS : Linux 6.8.0-71-generic
% 0.12/5.58 % CPULimit : 300
% 0.12/5.58 % WCLimit : 300
% 0.12/5.58 % DateTime : Sat Sep 26 21:51:10 UTC 2026
% 0.12/5.58 % CPUTime :
% 0.12/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.19/25.40 % SZS status Unsatisfiable for theBenchmark.p
% 52.19/25.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------