%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 09:21:47 AM UTC 2026
% Result : Unsatisfiable 8.76s 1.59s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 3 unt; 3 nHn; 7 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( p(a)
| ~ f(X0) ) ).
cnf(clause2,negated_conjecture,
( f(X0)
| ~ p(a) ) ).
cnf(clause3,negated_conjecture,
( ~ p(a)
| ~ f(y(X0)) ) ).
cnf(clause4,negated_conjecture,
( f(y(X0))
| p(a) ) ).
cnf(c0,plain,
( p(a)
| ~ f(X0) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( f(X0)
| ~ p(a) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( ~ p(a)
| ~ f(y(X0)) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
( f(y(X0))
| p(a) ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(d0,plain,
( p(a)
| p(a) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
~ f(y(X0)),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
f(X0),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:35:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.76/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 8.76/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------