%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 09:21:55 AM UTC 2026
% Result : Unsatisfiable 9.36s 1.52s
% Output : CNFRefutation 9.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 3 unt; 6 nHn; 11 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ) ).
cnf(clause3,negated_conjecture,
( f(X0,z(X0,X1))
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ) ).
cnf(clause5,negated_conjecture,
( ~ f(X0,X1)
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ) ).
cnf(clause6,negated_conjecture,
( ~ f(X0,X1)
| ~ f(X1,z(X0,X1))
| ~ f(a,z(X0,X1)) ) ).
cnf(c0,plain,
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c2,plain,
( f(X0,z(X0,X1))
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c4,plain,
( ~ f(X0,X1)
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
( ~ f(X0,X1)
| ~ f(X1,z(X0,X1))
| ~ f(a,z(X0,X1)) ),
inference(clausification,[status(esa)],[clause6]) ).
cnf(d0,plain,
( ~ f(X0,a)
| f(a,z(X0,a)) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(d1,plain,
( ~ f(X0,a)
| ~ f(X0,a)
| ~ f(a,z(X0,a)) ),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
( ~ f(X0,a)
| ~ f(X0,a) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ f(a,z(X0,X1)),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( f(z(X0,a),a)
| f(a,z(X0,a))
| f(X0,z(X0,a)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d5,plain,
( f(a,z(X0,a))
| f(X0,z(X0,a)) ),
inference(resolution,[status(thm)],[d2,d4]) ).
cnf(d6,plain,
f(X0,z(X0,a)),
inference(resolution,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 17:39:25 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.36/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 9.36/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------