%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV405+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 : n015.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 09:02:16 AM UTC 2026
% Result : Theorem 11.77s 2.95s
% Output : CNFRefutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 1 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [X0,X1] : ~ 'pair$uin$ulist'('create$uslb',X0,X1) ).
fof(ax36,axiom,
! [X0,X1] : 'check$ucpq'(triple(X0,'create$uslb',X1)) ).
fof(l41_co,conjecture,
! [X0,X1] :
( 'check$ucpq'(triple(X0,'create$uslb',X1))
<=> ! [X2,X3] :
( 'pair$uin$ulist'('create$uslb',X2,X3)
=> 'less$uthan'(X3,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'check$ucpq'(triple(X0,'create$uslb',X1))
<=> ! [X2,X3] :
( 'pair$uin$ulist'('create$uslb',X2,X3)
=> 'less$uthan'(X3,X2) ) ),
inference(negate_conjecture,[status(cth)],[l41_co]) ).
cnf(c13,plain,
~ 'pair$uin$ulist'('create$uslb',X0,X1),
inference(clausification,[status(esa)],[ax22]) ).
cnf(c30,plain,
'check$ucpq'(triple(X0,'create$uslb',X1)),
inference(clausification,[status(esa)],[ax36]) ).
cnf(c52,plain,
( ~ 'check$ucpq'(triple(sK117,'create$uslb',sK118))
| 'pair$uin$ulist'('create$uslb',sK119,sK120) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'check$ucpq'(triple(sK117,'create$uslb',sK118)),
inference(resolution,[status(thm)],[c13,c52]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c30,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV405+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
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 13:44:44 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.77/2.95 % SZS status Theorem for theBenchmark.p
% 11.77/2.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------