%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS012-1 : 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 : n013.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 9.70s 1.64s
% Output : CNFRefutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 6 unt; 6 nHn; 16 RR)
% Number of literals : 43 ( 0 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
c(exists) ).
cnf(clause_2,negated_conjecture,
~ f(exists) ).
cnf(clause_3,axiom,
( ~ d(X0)
| ~ r(X1,X0)
| ~ c(X1)
| e(X0) ) ).
cnf(clause_4,axiom,
( ~ r(X1,X0)
| ~ c(X1)
| d(X0) ) ).
cnf(clause_12,axiom,
( ~ e(u1r1(X0))
| f(X0) ) ).
cnf(clause_13,axiom,
( r(X0,u1r1(X0))
| f(X0) ) ).
cnf(c0,plain,
c(exists),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
~ f(exists),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( ~ d(X0)
| ~ r(X1,X0)
| ~ c(X1)
| e(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( ~ r(X1,X0)
| ~ c(X1)
| d(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c11,plain,
( ~ e(u1r1(X0))
| f(X0) ),
inference(clausification,[status(esa)],[clause_12]) ).
cnf(c12,plain,
( r(X0,u1r1(X0))
| f(X0) ),
inference(clausification,[status(esa)],[clause_13]) ).
cnf(d0,plain,
( f(X0)
| d(u1r1(X0))
| ~ c(X0) ),
inference(resolution,[status(thm)],[c3,c12]) ).
cnf(d1,plain,
( e(u1r1(X0))
| ~ d(u1r1(X0))
| ~ c(X0)
| f(X0) ),
inference(resolution,[status(thm)],[c12,c2]) ).
cnf(d2,plain,
( f(X0)
| ~ c(X0)
| e(u1r1(X0))
| f(X0)
| ~ c(X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( f(X0)
| f(X0)
| ~ c(X0) ),
inference(resolution,[status(thm)],[d2,c11]) ).
cnf(d4,plain,
f(exists),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS012-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 19:32:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.70/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 9.70/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------