%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV383+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 : n017.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 09:02:13 AM UTC 2026
% Result : Theorem 10.15s 3.31s
% Output : CNFRefutation 10.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 36 ( 20 ~; 10 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l19_l20,lemma,
! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ 'check$ucpq'(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( 'succ$ucpq'(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ 'check$ucpq'(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ) ).
fof(l19_co,conjecture,
! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( 'succ$ucpq'(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ 'check$ucpq'(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ 'check$ucpq'(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( 'succ$ucpq'(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ 'check$ucpq'(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
inference(negate_conjecture,[status(cth)],[l19_co]) ).
cnf(c0,plain,
( ~ 'check$ucpq'(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ 'succ$ucpq'(triple(X0,X1,X2),triple(X3,X4,X5))
| 'check$ucpq'(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l19_l20]) ).
cnf(c52,plain,
~ 'check$ucpq'(triple(sK123,sK124,sK125)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
'succ$ucpq'(triple(sK123,sK124,sK125),triple(sK126,sK127,sK128)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
ok(triple(sK126,sK127,sK128)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c55,plain,
'check$ucpq'(triple(sK126,sK127,sK128)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ ok(triple(sK126,sK127,sK128))
| ~ 'check$ucpq'(triple(sK126,sK127,sK128))
| 'check$ucpq'(triple(sK123,sK124,sK125)) ),
inference(resolution,[status(thm)],[c53,c0]) ).
cnf(d1,plain,
( ~ ok(triple(sK126,sK127,sK128))
| ~ 'check$ucpq'(triple(sK126,sK127,sK128)) ),
inference(resolution,[status(thm)],[c52,d0]) ).
cnf(d2,plain,
~ 'check$ucpq'(triple(sK126,sK127,sK128)),
inference(resolution,[status(thm)],[c54,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c55,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV383+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
% 0.17/0.44 % Computer : n017.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 13:35:48 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.15/3.31 % SZS status Theorem for theBenchmark.p
% 10.15/3.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------