%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 07:45:02 AM UTC 2026
% Result : Unsatisfiable 13.95s 2.28s
% Output : CNFRefutation 13.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
e(exists) ).
cnf(clause_2,negated_conjecture,
~ a(exists) ).
cnf(clause_3,axiom,
( ~ e(X0)
| r(X0,u0r3(X0)) ) ).
cnf(clause_4,axiom,
( ~ r(X0,X2)
| ~ r(X1,X2)
| ~ e(X1)
| a(X0) ) ).
cnf(c0,plain,
e(exists),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
~ a(exists),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( ~ e(X0)
| r(X0,u0r3(X0)) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( ~ r(X0,X2)
| ~ r(X1,X2)
| ~ e(X1)
| a(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(d0,plain,
( ~ e(X0)
| ~ r(X1,u0r3(X0))
| a(X1)
| ~ e(X0) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d1,plain,
( ~ e(X0)
| a(X0)
| ~ e(X0) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
a(exists),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Sep 25 19:30:53 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.95/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 13.95/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------