%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 09:20:58 AM UTC 2026
% Result : Unsatisfiable 8.07s 6.51s
% Output : CNFRefutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 5 unt; 3 nHn; 6 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( 'big$uf'(X1)
| 'big$uf'(X0)
| p ) ).
cnf(clause_3,negated_conjecture,
~ p ).
cnf(clause_5,negated_conjecture,
( ~ 'big$uf'(b)
| ~ 'big$uf'(a) ) ).
cnf(c0,plain,
( 'big$uf'(X1)
| 'big$uf'(X0)
| p ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c2,plain,
~ p,
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c4,plain,
( ~ 'big$uf'(b)
| ~ 'big$uf'(a) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(d0,plain,
( 'big$uf'(X1)
| 'big$uf'(X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'big$uf'(X0),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
~ 'big$uf'(a),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n011.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 17:07:05 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.07/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 8.07/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------