%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW300+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 09:11:39 AM UTC 2026
% Result : Theorem 49.49s 12.52s
% Output : CNFRefutation 49.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,hypothesis,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> 'v$uP$uH'(X0,X1) ) ).
fof(conj_1,conjecture,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( ! [X3] :
( 'v$uP$uH'(X3,X1)
=> 'v$uQ'(X3,X2) )
=> 'v$uQ'(X0,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( ! [X3] :
( 'v$uP$uH'(X3,X1)
=> 'v$uQ'(X3,X2) )
=> 'v$uQ'(X0,X2) ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c0,plain,
( 'v$uP$uH'(X0,X1)
| ~ 'v$uP'(X0,X1) ),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c1,plain,
'v$uP'(sK2,sK3),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'v$uQ'(X0,sK4)
| ~ 'v$uP$uH'(X0,sK3) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
~ 'v$uQ'(sK2,sK4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'v$uP$uH'(sK2,sK3),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'v$uQ'(sK2,sK4),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW300+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 15:36:55 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.49/12.52 % SZS status Theorem for theBenchmark.p
% 49.49/12.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------