%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS187+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:45:20 AM UTC 2026
% Result : Theorem 28.73s 11.82s
% Output : CNFRefutation 28.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 5 ~; 7 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
fof(tac,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,X1)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,tac) ) ).
fof(isa,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ) ).
fof(isa_tac_thm,conjecture,
isa(tac,thm) ).
fof(negated_conjecture,negated_conjecture,
~ isa(tac,thm),
inference(negate_conjecture,[status(cth)],[isa_tac_thm]) ).
cnf(c16,plain,
( status(X0,X1,thm)
| ~ model(sK28(X0,X1),X1) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c29,plain,
( ~ status(X2,X1,tac)
| model(X0,X1) ),
inference(clausification,[status(esa)],[tac]) ).
cnf(c92,plain,
( isa(X0,X1)
| status(sK133(X0,X1),sK134(X0,X1),X0) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c93,plain,
( isa(X0,X1)
| ~ status(sK133(X0,X1),sK134(X0,X1),X1) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c128,plain,
~ isa(tac,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( model(X1,sK134(tac,X0))
| isa(tac,X0) ),
inference(resolution,[status(thm)],[c92,c29]) ).
cnf(d1,plain,
( status(X1,sK134(tac,X0),thm)
| isa(tac,X0) ),
inference(resolution,[status(thm)],[d0,c16]) ).
cnf(d2,plain,
( isa(tac,thm)
| isa(tac,thm) ),
inference(resolution,[status(thm)],[c93,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c128,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS187+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n003.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Fri Sep 25 19:44:28 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.73/11.82 % SZS status Theorem for theBenchmark.p
% 28.73/11.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------