%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS130+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 07:45:13 AM UTC 2026
% Result : Theorem 12.96s 2.23s
% Output : CNFRefutation 12.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 27 ~; 36 |; 7 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 20 ( 3 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_1,axiom,
! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) ) ).
fof(axiom_2,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ) ).
fof(axiom_3,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ) ).
fof(the_axiom,conjecture,
( ! [X0] :
( cNothing(X0)
<=> cowlNothing(X0) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
( cNothing(X0)
<=> cowlNothing(X0) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(c0,plain,
cowlThing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c2,plain,
( ~ 'xsd$uinteger'(X0)
| ~ 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c3,plain,
( 'xsd$uinteger'(X0)
| 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c4,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( rp(X0,sK5(X0))
| ~ cNothing(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c11,plain,
( cowlNothing(sK8)
| ~ cowlThing(sK6)
| cNothing(sK8)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK6)
| 'xsd$ustring'(sK7) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
( 'xsd$uinteger'(sK7)
| ~ 'xsd$ustring'(sK7)
| cowlNothing(sK8)
| ~ cowlThing(sK6)
| cNothing(sK8)
| cowlNothing(sK6) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( cNothing(sK8)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK8)
| cowlNothing(sK6) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(d1,plain,
( cNothing(sK8)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK8) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( cNothing(sK8)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ cNothing(X0)
| ~ cNothing(X0) ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d4,plain,
( 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( cNothing(sK8)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| cowlNothing(sK8)
| cowlNothing(sK6) ),
inference(resolution,[status(thm)],[c0,c15]) ).
cnf(d6,plain,
( cNothing(sK8)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| cowlNothing(sK8) ),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
( 'xsd$uinteger'(sK7)
| cNothing(sK8)
| 'xsd$uinteger'(sK7)
| cowlNothing(sK8) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( cNothing(sK8)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[c1,d7]) ).
cnf(d9,plain,
'xsd$uinteger'(sK7),
inference(resolution,[status(thm)],[d3,d8]) ).
cnf(d10,plain,
'xsd$ustring'(sK7),
inference(resolution,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
~ 'xsd$uinteger'(sK7),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d9,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS130+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 19:40:07 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.96/2.23 % SZS status Theorem for theBenchmark.p
% 12.96/2.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------