%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV412+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 15.03s 2.62s
% Output : CNFRefutation 15.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 17 ( 6 ~; 3 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l48_li3839,lemma,
! [X0,X1,X2,X3] :
( ( 'strictly$uless$uthan'(X2,X3)
& 'pair$uin$ulist'(X0,X1,X2) )
=> 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X3) ) ).
fof(l48_co,conjecture,
! [X0,X1,X2,X3] :
( ( 'strictly$uless$uthan'(X2,X3)
& 'strictly$uless$uthan'(X1,X3)
& 'pair$uin$ulist'(X0,X1,X2) )
=> 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( 'strictly$uless$uthan'(X2,X3)
& 'strictly$uless$uthan'(X1,X3)
& 'pair$uin$ulist'(X0,X1,X2) )
=> 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X3) ),
inference(negate_conjecture,[status(cth)],[l48_co]) ).
cnf(c0,plain,
( 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X3)
| ~ 'strictly$uless$uthan'(X2,X3)
| ~ 'pair$uin$ulist'(X0,X1,X2) ),
inference(clausification,[status(esa)],[l48_li3839]) ).
cnf(c26,plain,
'pair$uin$ulist'(sK51,sK52,sK53),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c28,plain,
'strictly$uless$uthan'(sK53,sK54),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c29,plain,
~ 'pair$uin$ulist'('update$uslb'(sK51,sK54),sK52,sK54),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'strictly$uless$uthan'(sK53,X0)
| 'pair$uin$ulist'('update$uslb'(sK51,X0),sK52,X0) ),
inference(resolution,[status(thm)],[c26,c0]) ).
cnf(d1,plain,
~ 'strictly$uless$uthan'(sK53,sK54),
inference(resolution,[status(thm)],[d0,c29]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c28,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV412+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 13:37:03 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.03/2.62 % SZS status Theorem for theBenchmark.p
% 15.03/2.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------