%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 09:04:46 AM UTC 2026
% Result : Unsatisfiable 38.14s 9.71s
% Output : CNFRefutation 38.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_evaln__Suc_0,axiom,
( ~ 'c$uNatural$uOevaln'(X0,X1,X2,X3)
| 'c$uNatural$uOevaln'(X0,X1,'c$uSuc'(X2),X3) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'v$ufun1'('v$ux','v$uxa') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uNatural$uOevaln'('v$ucom','v$uxa','v$un','v$uxb') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'v$ufun2'('v$ux','v$uxb') ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ 'v$ufun1'(X0,X2)
| ~ 'c$uNatural$uOevaln'('v$ucom',X2,'c$uSuc'('v$un'),X1)
| 'v$ufun2'(X0,X1) ) ).
cnf(c635,plain,
( ~ 'c$uNatural$uOevaln'(X0,X1,X2,X3)
| 'c$uNatural$uOevaln'(X0,X1,'c$uSuc'(X2),X3) ),
inference(clausification,[status(esa)],[cls_evaln__Suc_0]) ).
cnf(c670,plain,
'v$ufun1'('v$ux','v$uxa'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c671,plain,
'c$uNatural$uOevaln'('v$ucom','v$uxa','v$un','v$uxb'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c672,plain,
~ 'v$ufun2'('v$ux','v$uxb'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c673,plain,
( ~ 'v$ufun1'(X2,X0)
| 'v$ufun2'(X2,X1)
| ~ 'c$uNatural$uOevaln'('v$ucom',X0,'c$uSuc'('v$un'),X1) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
'c$uNatural$uOevaln'('v$ucom','v$uxa','c$uSuc'('v$un'),'v$uxb'),
inference(resolution,[status(thm)],[c635,c671]) ).
cnf(d1,plain,
( 'v$ufun2'(X0,'v$uxb')
| ~ 'v$ufun1'(X0,'v$uxa') ),
inference(resolution,[status(thm)],[c673,d0]) ).
cnf(d2,plain,
'v$ufun2'('v$ux','v$uxb'),
inference(resolution,[status(thm)],[d1,c670]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c672,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 15:03:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.14/9.71 % SZS status Unsatisfiable for theBenchmark.p
% 38.14/9.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------