%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV387+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 19.16s 2.87s
% Output : CNFRefutation 19.16s
% 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 : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l23_l027,lemma,
! [X0,X1,X2,X3] :
( ( ok('remove$ucpq'(triple(X0,X1,X2),X3))
& 'check$ucpq'('remove$ucpq'(triple(X0,X1,X2),X3)) )
=> 'check$ucpq'(triple(X0,X1,X2)) ) ).
fof(l23_co,conjecture,
! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok('remove$ucpq'(triple(X0,X1,X2),X3))
| ~ 'check$ucpq'('remove$ucpq'(triple(X0,X1,X2),X3)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok('remove$ucpq'(triple(X0,X1,X2),X3))
| ~ 'check$ucpq'('remove$ucpq'(triple(X0,X1,X2),X3)) ) ),
inference(negate_conjecture,[status(cth)],[l23_co]) ).
cnf(c0,plain,
( 'check$ucpq'(triple(X0,X1,X2))
| ~ ok('remove$ucpq'(triple(X0,X1,X2),X3))
| ~ 'check$ucpq'('remove$ucpq'(triple(X0,X1,X2),X3)) ),
inference(clausification,[status(esa)],[l23_l027]) ).
cnf(c51,plain,
~ 'check$ucpq'(triple(sK121,sK122,sK123)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
'check$ucpq'('remove$ucpq'(triple(sK121,sK122,sK123),sK124)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
ok('remove$ucpq'(triple(sK121,sK122,sK123),sK124)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'check$ucpq'(triple(sK121,sK122,sK123))
| ~ ok('remove$ucpq'(triple(sK121,sK122,sK123),sK124)) ),
inference(resolution,[status(thm)],[c52,c0]) ).
cnf(d1,plain,
~ ok('remove$ucpq'(triple(sK121,sK122,sK123),sK124)),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c53,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n007.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 26 13:38:24 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.16/2.87 % SZS status Theorem for theBenchmark.p
% 19.16/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------