%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS004-1 : 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 : n009.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 07:45:01 AM UTC 2026
% Result : Unsatisfiable 11.95s 7.08s
% Output : CNFRefutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
c(exist) ).
cnf(clause_2,axiom,
( ~ c(X0)
| d(X0) ) ).
cnf(clause_3,axiom,
( ~ d(X0)
| ~ c(X0) ) ).
cnf(c0,plain,
c(exist),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ c(X0)
| d(X0) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( ~ d(X0)
| ~ c(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(d0,plain,
d(exist),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ c(exist),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c0,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS004-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n009.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 19:32:35 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.95/7.08 % SZS status Unsatisfiable for theBenchmark.p
% 11.95/7.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------