%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS180+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 21.64s 3.88s
% Output : CNFRefutation 21.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 39 ~; 37 |; 4 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 22 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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(nota,axiom,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ) ).
fof(nevera,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
<=> nevera(X0,X1) ) ).
fof(xora,axiom,
! [X0,X1] :
( ! [X2,X3] :
~ ( status(X2,X3,X0)
<=> status(X2,X3,X1) )
<=> xora(X0,X1) ) ).
fof(isa_exclusive,conjecture,
! [X0,X1] :
? [X2,X3] :
( status(X2,X3,X0)
=> ~ ( ( xora(X0,X1)
| nevera(X0,X1)
| nota(X0,X1) )
& isa(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
( status(X2,X3,X0)
=> ~ ( ( xora(X0,X1)
| nevera(X0,X1)
| nota(X0,X1) )
& isa(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[isa_exclusive]) ).
cnf(c0,plain,
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c1,plain,
( ~ mighta(X0,X1)
| status(sK4(X0,X1),sK5(X0,X1),X0) ),
inference(clausification,[status(esa)],[mighta]) ).
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(c11,plain,
( ~ nevera(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[nevera]) ).
cnf(c16,plain,
( ~ xora(X3,X2)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[xora]) ).
cnf(c39,plain,
status(X0,X1,sK55),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c40,plain,
isa(sK55,sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
( xora(sK55,sK56)
| nevera(sK55,sK56)
| nota(sK55,sK56) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( mighta(X2,sK55)
| ~ status(X0,X1,X2) ),
inference(resolution,[status(thm)],[c39,c0]) ).
cnf(d1,plain,
( ~ isa(sK55,X2)
| status(X0,X1,X2) ),
inference(resolution,[status(thm)],[c5,c39]) ).
cnf(d2,plain,
( mighta(X0,sK55)
| ~ isa(sK55,X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
mighta(sK56,sK55),
inference(resolution,[status(thm)],[d2,c40]) ).
cnf(d4,plain,
( ~ mighta(X0,X1)
| ~ xora(X2,X0)
| ~ status(sK4(X0,X1),sK5(X0,X1),X2) ),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(d5,plain,
( ~ xora(sK55,X0)
| ~ mighta(X0,X1) ),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
( nota(sK55,X2)
| status(X0,X1,X2) ),
inference(resolution,[status(thm)],[c6,c39]) ).
cnf(d7,plain,
( ~ nevera(X3,X0)
| ~ status(X1,X2,X3)
| nota(sK55,X0) ),
inference(resolution,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
( ~ nevera(sK55,X0)
| nota(sK55,X0) ),
inference(resolution,[status(thm)],[d7,c39]) ).
cnf(d9,plain,
( xora(sK55,sK56)
| nota(sK55,sK56)
| nota(sK55,sK56) ),
inference(resolution,[status(thm)],[d8,c41]) ).
cnf(d10,plain,
( ~ nota(X0,X0)
| ~ nota(X0,X0) ),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(d11,plain,
( isa(X1,X0)
| ~ isa(sK55,X0) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d12,plain,
isa(X0,sK56),
inference(resolution,[status(thm)],[d11,c40]) ).
cnf(d13,plain,
( ~ isa(X0,X3)
| status(X1,X2,X3)
| nota(sK55,X0) ),
inference(resolution,[status(thm)],[d6,c5]) ).
cnf(d14,plain,
( nota(sK55,X2)
| status(X0,X1,sK56) ),
inference(resolution,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
status(X0,X1,sK56),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
~ nota(X0,sK56),
inference(resolution,[status(thm)],[d15,c8]) ).
cnf(d17,plain,
xora(sK55,sK56),
inference(resolution,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
~ mighta(sK56,X0),
inference(resolution,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS180+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
% 0.19/0.67 % Computer : n014.cluster.edu
% 0.19/0.67 % Model : x86_64 x86_64
% 0.19/0.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.67 % Memory : 8046.5625MB
% 0.19/0.67 % OS : Linux 6.8.0-71-generic
% 0.19/0.67 % CPULimit : 300
% 0.19/0.67 % WCLimit : 300
% 0.19/0.67 % DateTime : Fri Sep 25 19:42:49 UTC 2026
% 0.19/0.67 % CPUTime :
% 0.19/0.67 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.64/3.88 % SZS status Theorem for theBenchmark.p
% 21.64/3.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------