%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS129+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 : 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 07:45:13 AM UTC 2026
% Result : Theorem 11.28s 11.90s
% Output : CNFRefutation 11.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 31 ~; 27 |; 8 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 3 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_1,axiom,
! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) ) ).
fof(axiom_3,axiom,
! [X0] :
( cEuroMP(X0)
<=> ? [X1] :
( cowlThing(X1)
& risEuroMPFrom(X0,X1) ) ) ).
fof(axiom_5,axiom,
! [X0,X1] :
( risEuroMPFrom(X0,X1)
<=> rhasEuroMP(X1,X0) ) ).
fof(axiom_13,axiom,
rhasEuroMP(iUK,iKinnock) ).
fof(the_axiom,conjecture,
( cEuroMP(iKinnock)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cEuroMP(iKinnock)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(c12,plain,
cowlThing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c13,plain,
~ cowlNothing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c14,plain,
( ~ 'xsd$uinteger'(X0)
| ~ 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c15,plain,
( 'xsd$uinteger'(X0)
| 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c27,plain,
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c30,plain,
( ~ rhasEuroMP(X1,X0)
| risEuroMPFrom(X0,X1) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c38,plain,
rhasEuroMP(iUK,iKinnock),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c40,plain,
( 'xsd$ustring'(sK40)
| ~ cowlThing(sK39)
| ~ 'xsd$uinteger'(sK40)
| ~ cEuroMP(iKinnock)
| cowlNothing(sK39) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
( ~ cowlThing(sK39)
| 'xsd$uinteger'(sK40)
| ~ 'xsd$ustring'(sK40)
| ~ cEuroMP(iKinnock)
| cowlNothing(sK39) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| cowlNothing(sK39)
| ~ cEuroMP(iKinnock) ),
inference(resolution,[status(thm)],[c12,c40]) ).
cnf(d1,plain,
( 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cEuroMP(iKinnock) ),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
( ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(resolution,[status(thm)],[c12,c27]) ).
cnf(d3,plain,
risEuroMPFrom(iKinnock,iUK),
inference(resolution,[status(thm)],[c30,c38]) ).
cnf(d4,plain,
cEuroMP(iKinnock),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| cowlNothing(sK39)
| ~ cEuroMP(iKinnock) ),
inference(resolution,[status(thm)],[c12,c41]) ).
cnf(d7,plain,
( ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cEuroMP(iKinnock) ),
inference(resolution,[status(thm)],[c13,d6]) ).
cnf(d8,plain,
( 'xsd$uinteger'(sK40)
| ~ cEuroMP(iKinnock)
| 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[c15,d7]) ).
cnf(d9,plain,
'xsd$uinteger'(sK40),
inference(resolution,[status(thm)],[d4,d8]) ).
cnf(d10,plain,
'xsd$ustring'(sK40),
inference(resolution,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
~ 'xsd$uinteger'(sK40),
inference(resolution,[status(thm)],[d10,c14]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d9,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n002.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Fri Sep 25 19:43:32 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.28/11.90 % SZS status Theorem for theBenchmark.p
% 11.28/11.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------