%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV385+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 : n001.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 12.15s 3.47s
% Output : CNFRefutation 12.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 21 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 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 : 18 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l21_li1316,lemma,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok('im$usucc$ucpq'(triple(X0,X1,X2))) ) ).
fof(l21_li2225,lemma,
! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ( ~ ok('im$usucc$ucpq'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('im$usucc$ucpq'(triple(X0,X1,X2))) ) ) ).
fof(l21_co,conjecture,
! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ 'check$ucpq'(triple(X0,X1,X2)) )
=> ( ~ ok('im$usucc$ucpq'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('im$usucc$ucpq'(triple(X0,X1,X2))) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ 'check$ucpq'(triple(X0,X1,X2)) )
=> ( ~ ok('im$usucc$ucpq'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('im$usucc$ucpq'(triple(X0,X1,X2))) ) ),
inference(negate_conjecture,[status(cth)],[l21_co]) ).
cnf(c0,plain,
( ~ ok('im$usucc$ucpq'(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l21_li1316]) ).
cnf(c1,plain,
( ~ ok('im$usucc$ucpq'(triple(X0,X1,X2)))
| ~ 'check$ucpq'('im$usucc$ucpq'(triple(X0,X1,X2)))
| 'check$ucpq'(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l21_li2225]) ).
cnf(c52,plain,
( ~ ok(triple(sK123,sK124,sK125))
| ~ 'check$ucpq'(triple(sK123,sK124,sK125)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
'check$ucpq'('im$usucc$ucpq'(triple(sK123,sK124,sK125))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
ok('im$usucc$ucpq'(triple(sK123,sK124,sK125))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'check$ucpq'(triple(sK123,sK124,sK125))
| ~ ok('im$usucc$ucpq'(triple(sK123,sK124,sK125))) ),
inference(resolution,[status(thm)],[c1,c53]) ).
cnf(d1,plain,
'check$ucpq'(triple(sK123,sK124,sK125)),
inference(resolution,[status(thm)],[c54,d0]) ).
cnf(d2,plain,
ok(triple(sK123,sK124,sK125)),
inference(resolution,[status(thm)],[c54,c0]) ).
cnf(d3,plain,
~ 'check$ucpq'(triple(sK123,sK124,sK125)),
inference(resolution,[status(thm)],[d2,c52]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV385+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
% 0.18/0.43 % Computer : n001.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 13:46:28 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.15/3.47 % SZS status Theorem for theBenchmark.p
% 12.15/3.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------