%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:11:44 AM UTC 2026
% Result : Theorem 34.35s 22.12s
% Output : CNFRefutation 34.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,hypothesis,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('v$uc',X1,'v$un',X2)
=> 'v$uQ'(X0,X2) ) ) ).
fof(conj_2,hypothesis,
! [X0,X1] :
( 'v$uQ'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('v$ud',X1,'v$un',X2)
=> 'v$uR'(X0,X2) ) ) ).
fof(conj_3,hypothesis,
'v$uP'('v$uZ','v$us') ).
fof(conj_4,hypothesis,
'c$uNatural$uOevaln'('v$uc','v$us','v$un','v$us1') ).
fof(conj_5,hypothesis,
'c$uNatural$uOevaln'('v$ud','v$us1','v$un','v$us$uH') ).
fof(conj_6,conjecture,
'v$uR'('v$uZ','v$us$uH') ).
fof(negated_conjecture,negated_conjecture,
~ 'v$uR'('v$uZ','v$us$uH'),
inference(negate_conjecture,[status(cth)],[conj_6]) ).
cnf(c56,plain,
( 'v$uQ'(X0,X2)
| ~ 'c$uNatural$uOevaln'('v$uc',X1,'v$un',X2)
| ~ 'v$uP'(X0,X1) ),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c57,plain,
( 'v$uR'(X0,X2)
| ~ 'c$uNatural$uOevaln'('v$ud',X1,'v$un',X2)
| ~ 'v$uQ'(X0,X1) ),
inference(clausification,[status(esa)],[conj_2]) ).
cnf(c58,plain,
'v$uP'('v$uZ','v$us'),
inference(clausification,[status(esa)],[conj_3]) ).
cnf(c59,plain,
'c$uNatural$uOevaln'('v$uc','v$us','v$un','v$us1'),
inference(clausification,[status(esa)],[conj_4]) ).
cnf(c60,plain,
'c$uNatural$uOevaln'('v$ud','v$us1','v$un','v$us$uH'),
inference(clausification,[status(esa)],[conj_5]) ).
cnf(c61,plain,
~ 'v$uR'('v$uZ','v$us$uH'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v$uQ'(X0,'v$us1')
| ~ 'v$uP'(X0,'v$us') ),
inference(resolution,[status(thm)],[c56,c59]) ).
cnf(d1,plain,
'v$uQ'('v$uZ','v$us1'),
inference(resolution,[status(thm)],[d0,c58]) ).
cnf(d2,plain,
( 'v$uR'(X0,'v$us$uH')
| ~ 'v$uQ'(X0,'v$us1') ),
inference(resolution,[status(thm)],[c57,c60]) ).
cnf(d3,plain,
'v$uR'('v$uZ','v$us$uH'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c61,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 15:42:32 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.35/22.12 % SZS status Theorem for theBenchmark.p
% 34.35/22.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------