%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% 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 09:02:15 AM UTC 2026
% Result : Theorem 13.09s 2.64s
% Output : CNFRefutation 13.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 9 ( 3 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [X0,X1] : ~ 'pair$uin$ulist'('create$uslb',X0,X1) ).
fof(l31_co,conjecture,
! [X0,X1,X2,X3] :
( ( ok('remove$ucpq'(triple(X0,'create$uslb',X1),X2))
& 'strictly$uless$uthan'(X2,X3)
& 'pair$uin$ulist'('create$uslb',X2,X3) )
=> 'pair$uin$ulist'('remove$uslb'('create$uslb',X2),X2,X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ok('remove$ucpq'(triple(X0,'create$uslb',X1),X2))
& 'strictly$uless$uthan'(X2,X3)
& 'pair$uin$ulist'('create$uslb',X2,X3) )
=> 'pair$uin$ulist'('remove$uslb'('create$uslb',X2),X2,X3) ),
inference(negate_conjecture,[status(cth)],[l31_co]) ).
cnf(c13,plain,
~ 'pair$uin$ulist'('create$uslb',X0,X1),
inference(clausification,[status(esa)],[ax22]) ).
cnf(c50,plain,
'pair$uin$ulist'('create$uslb',sK119,sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c13,c50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:41:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.09/2.64 % SZS status Theorem for theBenchmark.p
% 13.09/2.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------