%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV390+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 : n007.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 09:02:14 AM UTC 2026
% Result : Theorem 21.77s 3.28s
% Output : CNFRefutation 21.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 38 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 10 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 56 ( 9 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l26_li4142,lemma,
! [X0,X1,X2] :
( 'check$ucpq'(triple(X0,X1,X2))
<=> ! [X3,X4] :
( 'pair$uin$ulist'(X1,X3,X4)
=> 'less$uthan'(X4,X3) ) ) ).
fof(bottom_smallest,axiom,
! [X0] : 'less$uthan'(bottom,X0) ).
fof(ax37,axiom,
! [X0,X1,X2,X3,X4] :
( 'less$uthan'(X4,X3)
=> ( 'check$ucpq'(triple(X0,'insert$uslb'(X1,pair(X3,X4)),X2))
<=> 'check$ucpq'(triple(X0,X1,X2)) ) ) ).
fof(ax42,axiom,
! [X0,X1,X2,X3] : 'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2) ).
fof(l26_co,conjecture,
! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ! [X3] : ~ 'check$ucpq'('insert$ucpq'(triple(X0,X1,X2),X3)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ! [X3] : ~ 'check$ucpq'('insert$ucpq'(triple(X0,X1,X2),X3)) ),
inference(negate_conjecture,[status(cth)],[l26_co]) ).
cnf(c0,plain,
( 'less$uthan'(X4,X3)
| ~ 'pair$uin$ulist'(X1,X3,X4)
| ~ 'check$ucpq'(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l26_li4142]) ).
cnf(c1,plain,
( 'pair$uin$ulist'(X1,sK5(X1),sK6(X1))
| 'check$ucpq'(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l26_li4142]) ).
cnf(c2,plain,
( ~ 'less$uthan'(sK6(X1),sK5(X1))
| 'check$ucpq'(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l26_li4142]) ).
cnf(c9,plain,
'less$uthan'(bottom,X0),
inference(clausification,[status(esa)],[bottom_smallest]) ).
cnf(c34,plain,
( 'check$ucpq'(triple(X2,X3,X4))
| ~ 'check$ucpq'(triple(X2,'insert$uslb'(X3,pair(X1,X0)),X4))
| ~ 'less$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[ax37]) ).
cnf(c41,plain,
'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2),
inference(clausification,[status(esa)],[ax42]) ).
cnf(c53,plain,
~ 'check$ucpq'(triple(sK124,sK125,sK126)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
'check$ucpq'('insert$ucpq'(triple(sK124,sK125,sK126),sK127)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'pair$uin$ulist'(sK125,sK5(sK125),sK6(sK125)),
inference(resolution,[status(thm)],[c1,c53]) ).
cnf(d1,plain,
( ~ 'less$uthan'(bottom,X1)
| 'check$ucpq'(triple('insert$upqp'(X0,X1),X2,X3))
| ~ 'check$ucpq'('insert$ucpq'(triple(X0,X2,X3),X1)) ),
inference(superposition,[status(thm)],[c41,c34]) ).
cnf(d2,plain,
( ~ 'check$ucpq'('insert$ucpq'(triple(X0,X2,X3),X1))
| 'check$ucpq'(triple('insert$upqp'(X0,X1),X2,X3)) ),
inference(resolution,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
'check$ucpq'(triple('insert$upqp'(sK124,sK127),sK125,sK126)),
inference(resolution,[status(thm)],[d2,c54]) ).
cnf(d4,plain,
( 'less$uthan'(X1,X0)
| ~ 'pair$uin$ulist'(sK125,X0,X1) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
'less$uthan'(sK6(sK125),sK5(sK125)),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
'check$ucpq'(triple(X0,sK125,X1)),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV390+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
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 13:38:39 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.77/3.28 % SZS status Theorem for theBenchmark.p
% 21.77/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------