%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN349-1 : 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 : n004.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 09:21:54 AM UTC 2026
% Result : Unsatisfiable 10.38s 2.77s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 4 unt; 11 nHn; 17 RR)
% Number of literals : 68 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(w(X0),g(X0,X1))
| f(X0,g(X0,X1)) ) ).
cnf(clause2,negated_conjecture,
( f(w(X0),g(X0,X1))
| ~ f(X0,g(X0,X1)) ) ).
cnf(clause3,negated_conjecture,
( f(g(X0,X1),w(X0))
| ~ f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1)) ) ).
cnf(clause5,negated_conjecture,
( f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| f(X0,g(X0,X1)) ) ).
cnf(clause8,negated_conjecture,
( ~ f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| ~ f(g(X0,X1),X1)
| f(X0,g(X0,X1)) ) ).
cnf(clause10,negated_conjecture,
( ~ f(g(X0,X1),w(X0))
| ~ f(X1,g(X0,X1))
| ~ f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1)) ) ).
cnf(c0,plain,
( ~ f(w(X0),g(X0,X1))
| f(X0,g(X0,X1)) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( f(w(X0),g(X0,X1))
| ~ f(X0,g(X0,X1)) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( f(g(X0,X1),w(X0))
| ~ f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1)) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c4,plain,
( f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| f(g(X0,X1),X1)
| f(X0,g(X0,X1)) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c7,plain,
( ~ f(g(X0,X1),w(X0))
| f(X1,g(X0,X1))
| ~ f(g(X0,X1),X1)
| f(X0,g(X0,X1)) ),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c9,plain,
( ~ f(g(X0,X1),w(X0))
| ~ f(X1,g(X0,X1))
| ~ f(g(X0,X1),X1)
| ~ f(X0,g(X0,X1)) ),
inference(clausification,[status(esa)],[clause10]) ).
cnf(d0,plain,
( ~ f(X0,g(X0,w(X0)))
| f(g(X0,w(X0)),w(X0))
| f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( ~ f(X0,g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0))
| ~ f(X0,g(X0,w(X0)))
| ~ f(w(X0),g(X0,w(X0))) ),
inference(resolution,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
( f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0))) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(d3,plain,
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0)))
| ~ f(g(X0,w(X0)),w(X0))
| f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0))) ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0)))
| f(w(X0),g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( f(X0,g(X0,w(X0)))
| f(X0,g(X0,w(X0))) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ~ f(g(X0,w(X0)),w(X0))
| ~ f(w(X0),g(X0,w(X0))) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
f(g(X0,w(X0)),w(X0)),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d8,plain,
~ f(w(X0),g(X0,w(X0))),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
~ f(X0,g(X0,w(X0))),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d5,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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 17:36:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.38/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 10.38/2.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------