%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN002-1.007.008 : 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 : n003.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 09:20:38 AM UTC 2026
% Result : Unsatisfiable 9.62s 1.64s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of clauses : 19 ( 2 unt; 6 nHn; 13 RR)
% Number of literals : 36 ( 0 equ; 19 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(positive,negated_conjecture,
( p(f(f(f(f(f(f(f(X0))))))))
| p(X0) ) ).
cnf(negative,negated_conjecture,
( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
| ~ p(X0) ) ).
cnf(c0,plain,
( p(f(f(f(f(f(f(f(X0))))))))
| p(X0) ),
inference(clausification,[status(esa)],[positive]) ).
cnf(c1,plain,
( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
| ~ p(X0) ),
inference(clausification,[status(esa)],[negative]) ).
cnf(d0,plain,
( p(f(X0))
| ~ p(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ p(X0)
| ~ p(f(f(f(f(f(f(f(X0)))))))) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ p(f(f(f(f(f(f(X0)))))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( p(X0)
| ~ p(f(X0)) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( p(X0)
| p(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( ~ p(f(f(f(f(f(X0))))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d6,plain,
( p(X0)
| ~ p(f(f(X0))) ),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
( p(X0)
| p(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ p(f(f(f(f(X0)))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d9,plain,
( p(X0)
| ~ p(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( p(X0)
| p(f(X0)) ),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
( p(X0)
| p(X0) ),
inference(resolution,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
( ~ p(f(f(f(X0))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d13,plain,
~ p(f(f(f(X0)))),
inference(resolution,[status(thm)],[d11,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:05:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.62/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 9.62/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------