%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 09:29:26 AM UTC 2026
% Result : Unsatisfiable 9.06s 2.58s
% Output : CNFRefutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lx1_1,negated_conjecture,
r(a,b) ).
cnf(lx1_2,negated_conjecture,
( ~ r(X0,X1)
| q(X0,X0) ) ).
cnf(lx1_3,negated_conjecture,
( ~ q(X2,X1)
| r(X0,X1) ) ).
cnf(lx1_4,negated_conjecture,
( ~ r(b,X0)
| ~ q(X0,a) ) ).
cnf(c0,plain,
r(a,b),
inference(clausification,[status(esa)],[lx1_1]) ).
cnf(c1,plain,
( ~ r(X0,X1)
| q(X0,X0) ),
inference(clausification,[status(esa)],[lx1_2]) ).
cnf(c2,plain,
( ~ q(X2,X1)
| r(X0,X1) ),
inference(clausification,[status(esa)],[lx1_3]) ).
cnf(c3,plain,
( ~ r(b,X0)
| ~ q(X0,a) ),
inference(clausification,[status(esa)],[lx1_4]) ).
cnf(d0,plain,
q(a,a),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ r(b,a),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
r(X0,a),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 18:21:49 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.06/2.58 % SZS status Unsatisfiable for theBenchmark.p
% 9.06/2.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------