%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 : Unsatisfiable 8.11s 6.49s
% Output : CNFRefutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 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 : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax1_11,axiom,
'b$uholds'(key('generate$ukey'('an$ua$unonce'),a)) ).
cnf(ax3_13,axiom,
'a$uholds'(key('generate$ukey'('an$ua$unonce'),b)) ).
cnf(co1_17,negated_conjecture,
( ~ 'b$uholds'(key(X0,a))
| ~ 'a$uholds'(key(X0,b)) ) ).
cnf(c0,plain,
'b$uholds'(key('generate$ukey'('an$ua$unonce'),a)),
inference(clausification,[status(esa)],[ax1_11]) ).
cnf(c1,plain,
'a$uholds'(key('generate$ukey'('an$ua$unonce'),b)),
inference(clausification,[status(esa)],[ax3_13]) ).
cnf(c2,plain,
( ~ 'b$uholds'(key(X0,a))
| ~ 'a$uholds'(key(X0,b)) ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(d0,plain,
~ 'b$uholds'(key('generate$ukey'('an$ua$unonce'),a)),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c0,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n013.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 13:04:57 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.11/6.49 % SZS status Unsatisfiable for theBenchmark.p
% 8.11/6.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------