%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV488+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 09:02:30 AM UTC 2026
% Result : Theorem 9.34s 17.19s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 76 ( 19 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 90 ( 37 ~; 28 |; 14 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(int_leq,axiom,
! [X0,X1] :
( 'int$uleq'(X0,X1)
<=> ( X0 = X1
| 'int$uless'(X0,X1) ) ) ).
fof(real_constants,axiom,
'real$uzero' != 'real$uone' ).
fof(qii,hypothesis,
! [X0,X1] :
( ( 'int$uleq'(X1,n)
& 'int$uleq'('int$uone',X1)
& 'int$uleq'(X0,n)
& 'int$uleq'('int$uone',X0) )
=> ( ! [X2] :
( ( X1 = plus(X0,X2)
& 'int$uless'('int$uzero',X2) )
=> ! [X3] :
( ( 'int$uleq'(X3,X0)
& 'int$uleq'('int$uone',X3) )
=> a(X3,plus(X3,X2)) = 'real$uzero' ) )
& ! [X3] :
( ( 'int$uleq'(X3,X1)
& 'int$uleq'('int$uone',X3) )
=> a(X3,X3) = 'real$uone' )
& ! [X2] :
( ( X0 = plus(X1,X2)
& 'int$uless'('int$uzero',X2) )
=> ! [X3] :
( ( 'int$uleq'(X3,X1)
& 'int$uleq'('int$uone',X3) )
=> a(plus(X3,X2),X3) = 'real$uzero' ) ) ) ) ).
fof(uti,conjecture,
! [X0,X1] :
( ( 'int$uleq'(X0,n)
& 'int$uleq'(X1,X0)
& 'int$uleq'('int$uone',X1) )
=> ( X0 = X1
=> a(X0,X1) != 'real$uzero' ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( 'int$uleq'(X0,n)
& 'int$uleq'(X1,X0)
& 'int$uleq'('int$uone',X1) )
=> ( X0 = X1
=> a(X0,X1) != 'real$uzero' ) ),
inference(negate_conjecture,[status(cth)],[uti]) ).
cnf(c2,plain,
( X0 != X1
| 'int$uleq'(X0,X1) ),
inference(clausification,[status(esa)],[int_leq]) ).
cnf(c15,plain,
'real$uzero' != 'real$uone',
inference(clausification,[status(esa)],[real_constants]) ).
cnf(c17,plain,
( ~ 'int$uleq'(X0,X1)
| ~ 'int$uleq'(X1,n)
| a(X0,X0) = 'real$uone'
| ~ 'int$uleq'('int$uone',X2)
| ~ 'int$uleq'(X2,n)
| ~ 'int$uleq'('int$uone',X1)
| ~ 'int$uleq'('int$uone',X0) ),
inference(clausification,[status(esa)],[qii]) ).
cnf(c19,plain,
'int$uleq'('int$uone',sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c21,plain,
'int$uleq'(sK28,n),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c22,plain,
sK28 = sK29,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c23,plain,
a(sK28,sK29) = 'real$uzero',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'int$uleq'(X0,X0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d1,plain,
a(sK29,sK29) = 'real$uzero',
inference(demodulation,[status(thm)],[c23,c22]) ).
cnf(d2,plain,
( ~ 'int$uleq'('int$uone',X1)
| ~ 'int$uleq'('int$uone',X0)
| ~ 'int$uleq'(sK29,X1)
| ~ 'int$uleq'(X1,n)
| ~ 'int$uleq'(X0,n)
| a(sK29,sK29) = 'real$uone' ),
inference(resolution,[status(thm)],[c17,c19]) ).
cnf(d3,plain,
( ~ 'int$uleq'(sK29,X0)
| ~ 'int$uleq'('int$uone',X1)
| ~ 'int$uleq'('int$uone',X0)
| ~ 'int$uleq'(X1,n)
| ~ 'int$uleq'(X0,n)
| 'real$uzero' = 'real$uone' ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'int$uleq'(sK29,X0)
| ~ 'int$uleq'('int$uone',X1)
| ~ 'int$uleq'('int$uone',X0)
| ~ 'int$uleq'(X1,n)
| ~ 'int$uleq'(X0,n) ),
inference(resolution,[status(thm)],[c15,d3]) ).
cnf(d5,plain,
( ~ 'int$uleq'('int$uone',sK29)
| ~ 'int$uleq'('int$uone',X0)
| ~ 'int$uleq'(sK29,n)
| ~ 'int$uleq'(X0,n) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ 'int$uleq'(sK29,n)
| ~ 'int$uleq'('int$uone',X0)
| ~ 'int$uleq'(X0,n) ),
inference(resolution,[status(thm)],[c19,d5]) ).
cnf(d7,plain,
'int$uleq'(sK29,n),
inference(demodulation,[status(thm)],[c21,c22]) ).
cnf(d8,plain,
( ~ 'int$uleq'('int$uone',X0)
| ~ 'int$uleq'(X0,n) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
~ 'int$uleq'(sK29,n),
inference(resolution,[status(thm)],[d8,c19]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d7,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV488+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n006.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Sat Sep 26 13:58:37 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.34/17.19 % SZS status Theorem for theBenchmark.p
% 9.34/17.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------