%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS179+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 : n014.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 15.74s 3.16s
% Output : CNFRefutation 15.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 10 ~; 13 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isa,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ) ).
fof(isa_transitive,conjecture,
! [X0,X1,X2] :
( ( isa(X1,X2)
& isa(X0,X1) )
=> isa(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( isa(X1,X2)
& isa(X0,X1) )
=> isa(X0,X2) ),
inference(negate_conjecture,[status(cth)],[isa_transitive]) ).
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(c39,plain,
isa(sK55,sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,plain,
isa(sK56,sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
~ isa(sK55,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,
( ~ isa(X1,X3)
| status(sK8(X0,X2),sK9(X0,X2),X3)
| isa(X0,X2)
| ~ isa(X0,X1) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( isa(sK55,X0)
| ~ isa(sK56,X1)
| status(sK8(sK55,X0),sK9(sK55,X0),X1) ),
inference(resolution,[status(thm)],[d1,c39]) ).
cnf(d3,plain,
( isa(sK55,X0)
| ~ isa(sK56,X0)
| isa(sK55,X0) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
isa(sK55,sK57),
inference(resolution,[status(thm)],[d3,c40]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c41,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS179+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n014.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Fri Sep 25 19:43:04 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.74/3.16 % SZS status Theorem for theBenchmark.p
% 15.74/3.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------