%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV389+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 : n004.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 12.65s 2.66s
% Output : CNFRefutation 12.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 5 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l25_l40,lemma,
! [X0,X1,X2] :
( ( ok('removemin$ucpq$ueff'(triple(X0,X1,X2)))
& 'check$ucpq'('removemin$ucpq$ueff'(triple(X0,X1,X2))) )
=> 'check$ucpq'(triple(X0,X1,X2)) ) ).
fof(l25_co,conjecture,
! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ( ~ ok('removemin$ucpq$ueff'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('removemin$ucpq$ueff'(triple(X0,X1,X2))) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ( ~ ok('removemin$ucpq$ueff'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('removemin$ucpq$ueff'(triple(X0,X1,X2))) ) ),
inference(negate_conjecture,[status(cth)],[l25_co]) ).
cnf(c0,plain,
( 'check$ucpq'(triple(X0,X1,X2))
| ~ ok('removemin$ucpq$ueff'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('removemin$ucpq$ueff'(triple(X0,X1,X2))) ),
inference(clausification,[status(esa)],[l25_l40]) ).
cnf(c51,plain,
~ 'check$ucpq'(triple(sK120,sK121,sK122)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
'check$ucpq'('removemin$ucpq$ueff'(triple(sK120,sK121,sK122))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
ok('removemin$ucpq$ueff'(triple(sK120,sK121,sK122))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'check$ucpq'(triple(sK120,sK121,sK122))
| ~ 'check$ucpq'('removemin$ucpq$ueff'(triple(sK120,sK121,sK122))) ),
inference(resolution,[status(thm)],[c53,c0]) ).
cnf(d1,plain,
~ 'check$ucpq'('removemin$ucpq$ueff'(triple(sK120,sK121,sK122))),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c52,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV389+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:40:37 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.65/2.66 % SZS status Theorem for theBenchmark.p
% 12.65/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------