%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS201+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 : n002.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 07:45:21 AM UTC 2026
% Result : Theorem 149.26s 22.01s
% Output : CNFRefutation 149.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 28 ~; 27 |; 6 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 81 ( 12 sgn 17 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sap,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,sap) ) ).
fof(sat,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
<=> status(X0,X1,sat) ) ).
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
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(completeness,axiom,
! [X0,X1] :
~ ( model(X0,X1)
<=> model(X0,not(X1)) ) ).
fof(tautology,axiom,
? [X0] :
! [X1] : model(X1,X0) ).
fof(mixed_pair,axiom,
? [X0,X1] :
( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) ) ).
fof(nota_sap_thm,conjecture,
nota(sap,thm) ).
fof(negated_conjecture,negated_conjecture,
~ nota(sap,thm),
inference(negate_conjecture,[status(cth)],[nota_sap_thm]) ).
cnf(c4,plain,
( status(X2,X1,sap)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[sap]) ).
cnf(c12,plain,
( status(X1,X2,sat)
| ~ model(X0,X2)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[sat]) ).
cnf(c13,plain,
( ~ status(X0,X1,sat)
| model(sK25(X0,X1),X0) ),
inference(clausification,[status(esa)],[sat]) ).
cnf(c14,plain,
( ~ status(X0,X1,sat)
| model(sK25(X0,X1),X1) ),
inference(clausification,[status(esa)],[sat]) ).
cnf(c17,plain,
( ~ status(X1,X2,thm)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c83,plain,
( isa(X0,X1)
| status(sK129(X0,X1),sK130(X0,X1),X0) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c84,plain,
( isa(X0,X1)
| ~ status(sK129(X0,X1),sK130(X0,X1),X1) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c85,plain,
( ~ isa(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c86,plain,
( nota(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[nota]) ).
cnf(c99,plain,
( model(X0,not(X1))
| model(X0,X1) ),
inference(clausification,[status(esa)],[completeness]) ).
cnf(c100,plain,
( ~ model(X0,X1)
| ~ model(X0,not(X1)) ),
inference(clausification,[status(esa)],[completeness]) ).
cnf(c104,plain,
model(X0,sK155),
inference(clausification,[status(esa)],[tautology]) ).
cnf(c111,plain,
model(sK168,sK166),
inference(clausification,[status(esa)],[mixed_pair]) ).
cnf(c112,plain,
~ model(sK169,sK166),
inference(clausification,[status(esa)],[mixed_pair]) ).
cnf(c119,plain,
~ nota(sap,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( status(X0,sK166,sat)
| ~ model(sK168,X0) ),
inference(resolution,[status(thm)],[c12,c111]) ).
cnf(d1,plain,
( ~ model(sK25(not(X0),X1),X0)
| ~ status(not(X0),X1,sat) ),
inference(resolution,[status(thm)],[c13,c100]) ).
cnf(d2,plain,
( ~ status(not(X0),X0,sat)
| ~ status(not(X0),X0,sat) ),
inference(resolution,[status(thm)],[d1,c14]) ).
cnf(d3,plain,
~ model(sK168,not(sK166)),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( isa(X0,X1)
| nota(X0,X2)
| status(sK129(X0,X1),sK130(X0,X1),X2) ),
inference(resolution,[status(thm)],[c86,c83]) ).
cnf(d5,plain,
( isa(X0,X1)
| nota(X0,X1)
| isa(X0,X1) ),
inference(resolution,[status(thm)],[d4,c84]) ).
cnf(d6,plain,
isa(sap,thm),
inference(resolution,[status(thm)],[d5,c119]) ).
cnf(d7,plain,
( status(X2,not(X1),sap)
| model(X0,X1) ),
inference(resolution,[status(thm)],[c99,c4]) ).
cnf(d8,plain,
( ~ isa(sap,X3)
| status(X2,not(X1),X3)
| model(X0,X1) ),
inference(resolution,[status(thm)],[d7,c85]) ).
cnf(d9,plain,
( status(X2,not(X1),thm)
| model(X0,X1) ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
status(X0,not(sK166),thm),
inference(resolution,[status(thm)],[d9,c112]) ).
cnf(d11,plain,
( ~ model(X0,X1)
| model(X0,not(sK166)) ),
inference(resolution,[status(thm)],[d10,c17]) ).
cnf(d12,plain,
model(X0,not(sK166)),
inference(resolution,[status(thm)],[d11,c104]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS201+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n002.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 : Fri Sep 25 19:47:20 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.26/22.01 % SZS status Theorem for theBenchmark.p
% 149.26/22.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------