%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS263+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 : n026.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 07:45:26 AM UTC 2026
% Result : Theorem 83.31s 14.41s
% Output : CNFRefutation 83.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 37 ~; 39 |; 8 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 104 ( 22 sgn 22 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
fof(wtc,axiom,
! [X0,X1] :
( ( ! [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ) ).
fof(csa,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
<=> status(X0,X1,csa) ) ).
fof(mighta,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ) ).
fof(isa,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ) ).
fof(nevera,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
<=> nevera(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(mighta_wtc_thm,conjecture,
mighta(wtc,thm) ).
fof(negated_conjecture,negated_conjecture,
~ mighta(wtc,thm),
inference(negate_conjecture,[status(cth)],[mighta_wtc_thm]) ).
cnf(c16,plain,
( status(X0,X1,thm)
| ~ model(sK28(X0,X1),X1) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c51,plain,
( status(X1,X3,wtc)
| ~ model(sK69(X3),X3)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[wtc]) ).
cnf(c54,plain,
( ~ status(X2,X1,wtc)
| model(X0,X1) ),
inference(clausification,[status(esa)],[wtc]) ).
cnf(c78,plain,
( ~ status(X0,X1,csa)
| model(sK111(X0,X1),not(X1)) ),
inference(clausification,[status(esa)],[csa]) ).
cnf(c89,plain,
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c92,plain,
( isa(X0,X1)
| status(sK133(X0,X1),sK134(X0,X1),X0) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c94,plain,
( ~ isa(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[isa]) ).
cnf(c98,plain,
( nevera(X0,X1)
| status(sK145(X0,X1),sK146(X0,X1),X0) ),
inference(clausification,[status(esa)],[nevera]) ).
cnf(c99,plain,
( nevera(X0,X1)
| status(sK145(X0,X1),sK146(X0,X1),X1) ),
inference(clausification,[status(esa)],[nevera]) ).
cnf(c100,plain,
( ~ nevera(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[nevera]) ).
cnf(c109,plain,
( ~ model(X0,X1)
| ~ model(X0,not(X1)) ),
inference(clausification,[status(esa)],[completeness]) ).
cnf(c113,plain,
model(X0,sK159),
inference(clausification,[status(esa)],[tautology]) ).
cnf(c123,plain,
model(sK174,sK171),
inference(clausification,[status(esa)],[mixed_pair]) ).
cnf(c124,plain,
~ model(sK175,sK171),
inference(clausification,[status(esa)],[mixed_pair]) ).
cnf(c128,plain,
~ mighta(wtc,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
status(X0,sK159,thm),
inference(resolution,[status(thm)],[c16,c113]) ).
cnf(d1,plain,
( ~ nevera(thm,X1)
| ~ status(X0,sK159,X1) ),
inference(resolution,[status(thm)],[c100,d0]) ).
cnf(d2,plain,
( status(X1,sK159,wtc)
| ~ model(X2,X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[c51,c113]) ).
cnf(d3,plain,
( ~ nevera(thm,wtc)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( nevera(X0,X1)
| ~ nevera(X1,X2)
| ~ status(sK145(X0,X1),sK146(X0,X1),X2) ),
inference(resolution,[status(thm)],[c100,c99]) ).
cnf(d5,plain,
( nevera(X1,X0)
| nevera(X1,X0)
| ~ nevera(X0,X1) ),
inference(resolution,[status(thm)],[d4,c98]) ).
cnf(d6,plain,
( ~ isa(X0,X2)
| status(sK145(X0,X1),sK146(X0,X1),X2)
| nevera(X0,X1) ),
inference(resolution,[status(thm)],[c98,c94]) ).
cnf(d7,plain,
( ~ model(sK111(X0,X1),X1)
| ~ status(X0,X1,csa) ),
inference(resolution,[status(thm)],[c78,c109]) ).
cnf(d8,plain,
( model(X1,sK146(wtc,X0))
| nevera(wtc,X0) ),
inference(resolution,[status(thm)],[c98,c54]) ).
cnf(d9,plain,
( ~ status(X1,sK146(wtc,X0),csa)
| nevera(wtc,X0) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( nevera(wtc,X0)
| ~ isa(wtc,csa)
| nevera(wtc,X0) ),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( model(X1,sK134(wtc,X0))
| isa(wtc,X0) ),
inference(resolution,[status(thm)],[c92,c54]) ).
cnf(d12,plain,
( status(X1,sK134(wtc,X0),thm)
| isa(wtc,X0) ),
inference(resolution,[status(thm)],[d11,c16]) ).
cnf(d13,plain,
( isa(wtc,X1)
| mighta(X2,thm)
| ~ status(X0,sK134(wtc,X1),X2) ),
inference(resolution,[status(thm)],[c89,d12]) ).
cnf(d14,plain,
( isa(wtc,X0)
| isa(wtc,X0)
| mighta(wtc,thm) ),
inference(resolution,[status(thm)],[d13,c92]) ).
cnf(d15,plain,
isa(wtc,X0),
inference(resolution,[status(thm)],[c128,d14]) ).
cnf(d16,plain,
nevera(wtc,X0),
inference(resolution,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
nevera(X0,wtc),
inference(resolution,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
( ~ model(X2,X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[d17,d3]) ).
cnf(d19,plain,
model(X0,sK171),
inference(resolution,[status(thm)],[d18,c123]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,c124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS263+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
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 19:53:09 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 83.31/14.41 % SZS status Theorem for theBenchmark.p
% 83.31/14.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------