%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 07:45:19 AM UTC 2026
% Result : Theorem 7.25s 3.66s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 18 ~; 21 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isa,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ) ).
fof(nota,axiom,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ) ).
fof(nota_isa_nota,conjecture,
! [X0,X1,X2] :
( ( nota(X0,X2)
& isa(X0,X1) )
=> nota(X1,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( nota(X0,X2)
& isa(X0,X1) )
=> nota(X1,X2) ),
inference(negate_conjecture,[status(cth)],[nota_isa_nota]) ).
cnf(c3,plain,
( isa(X0,X1)
| status(sK8(X0,X1),sK9(X0,X1),X0) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c4,plain,
( isa(X0,X1)
| ~ status(sK8(X0,X1),sK9(X0,X1),X1) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c5,plain,
( ~ isa(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c6,plain,
( nota(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[nota]) ).
cnf(c7,plain,
( ~ nota(X0,X1)
| status(sK16(X0,X1),sK17(X0,X1),X0) ),
inference(clausification,[status(esa)],[nota]) ).
cnf(c8,plain,
( ~ nota(X0,X1)
| ~ status(sK16(X0,X1),sK17(X0,X1),X1) ),
inference(clausification,[status(esa)],[nota]) ).
cnf(c39,plain,
isa(sK55,sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,plain,
nota(sK55,sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
~ nota(sK56,sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( isa(X0,X1)
| ~ isa(X0,X2)
| status(sK8(X0,X1),sK9(X0,X1),X2) ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(d1,plain,
( nota(X1,X3)
| status(sK8(X0,X2),sK9(X0,X2),X3)
| isa(X0,X2)
| ~ isa(X0,X1) ),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
( nota(sK56,X1)
| isa(sK55,X0)
| status(sK8(sK55,X0),sK9(sK55,X0),X1) ),
inference(resolution,[status(thm)],[d1,c39]) ).
cnf(d3,plain,
( isa(sK55,X0)
| nota(sK56,X0)
| isa(sK55,X0) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
isa(sK55,sK57),
inference(resolution,[status(thm)],[d3,c41]) ).
cnf(d5,plain,
( ~ isa(X0,X2)
| status(sK16(X0,X1),sK17(X0,X1),X2)
| ~ nota(X0,X1) ),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d6,plain,
( ~ nota(X0,X1)
| ~ nota(X0,X1)
| ~ isa(X0,X1) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
~ isa(sK55,sK57),
inference(resolution,[status(thm)],[d6,c40]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n012.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Fri Sep 25 19:42:41 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.25/3.66 % SZS status Theorem for theBenchmark.p
% 7.25/3.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------