%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV413+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 : 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 09:02:17 AM UTC 2026
% Result : Theorem 12.02s 3.44s
% Output : CNFRefutation 12.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 24 ( 9 ~; 5 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l49_li3637,lemma,
! [X0,X1,X2,X3] :
( ( 'less$uthan'(X3,X2)
& 'pair$uin$ulist'(X0,X1,X2) )
=> 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X2) ) ).
fof(l49_co,conjecture,
! [X0,X1,X2,X3] :
( ( 'less$uthan'(X3,X2)
& 'strictly$uless$uthan'(X1,X3)
& 'pair$uin$ulist'(X0,X1,X2) )
=> ? [X4] :
( 'less$uthan'(X3,X4)
& 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X4) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( 'less$uthan'(X3,X2)
& 'strictly$uless$uthan'(X1,X3)
& 'pair$uin$ulist'(X0,X1,X2) )
=> ? [X4] :
( 'less$uthan'(X3,X4)
& 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X4) ) ),
inference(negate_conjecture,[status(cth)],[l49_co]) ).
cnf(c0,plain,
( 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X2)
| ~ 'less$uthan'(X3,X2)
| ~ 'pair$uin$ulist'(X0,X1,X2) ),
inference(clausification,[status(esa)],[l49_li3637]) ).
cnf(c26,plain,
'pair$uin$ulist'(sK51,sK52,sK53),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c28,plain,
'less$uthan'(sK54,sK53),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c29,plain,
( ~ 'less$uthan'(sK54,X0)
| ~ 'pair$uin$ulist'('update$uslb'(sK51,sK54),sK52,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'less$uthan'(sK54,X0)
| ~ 'pair$uin$ulist'(sK51,sK52,X0)
| ~ 'less$uthan'(sK54,X0) ),
inference(resolution,[status(thm)],[c29,c0]) ).
cnf(d1,plain,
~ 'less$uthan'(sK54,sK53),
inference(resolution,[status(thm)],[d0,c26]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c28,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV413+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n016.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sat Sep 26 13:46:46 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.02/3.44 % SZS status Theorem for theBenchmark.p
% 12.02/3.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------