%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:01:14 AM UTC 2026
% Result : Theorem 10.36s 16.93s
% Output : CNFRefutation 10.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 1 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
'b$uholds'(key('generate$ukey'('an$ua$unonce'),a)) ).
fof(ax3,axiom,
'a$uholds'(key('generate$ukey'('an$ua$unonce'),b)) ).
fof(co1,conjecture,
? [X0] :
( 'b$uholds'(key(X0,a))
& 'a$uholds'(key(X0,b)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'b$uholds'(key(X0,a))
& 'a$uholds'(key(X0,b)) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c10,plain,
'b$uholds'(key('generate$ukey'('an$ua$unonce'),a)),
inference(clausification,[status(esa)],[ax1]) ).
cnf(c12,plain,
'a$uholds'(key('generate$ukey'('an$ua$unonce'),b)),
inference(clausification,[status(esa)],[ax3]) ).
cnf(c16,plain,
( ~ 'b$uholds'(key(X0,a))
| ~ 'a$uholds'(key(X0,b)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'a$uholds'(key('generate$ukey'('an$ua$unonce'),b)),
inference(resolution,[status(thm)],[c10,c16]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.65 % CPULimit : 300
% 0.10/15.65 % WCLimit : 300
% 0.10/15.65 % DateTime : Sat Sep 26 13:05:09 UTC 2026
% 0.10/15.65 % CPUTime :
% 0.10/15.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.36/16.93 % SZS status Theorem for theBenchmark.p
% 10.36/16.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------