%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS169+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:45:18 AM UTC 2026
% Result : Theorem 9.63s 1.60s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 110 ( 49 ~; 46 |; 11 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 2 sgn 8 !; 0 ?)
% 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,
rhasLeader(iX,iY) ).
fof(axiom_5,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ) ).
fof(the_axiom,conjecture,
( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [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(c5,plain,
rhasLeader(iX,iY),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c7,plain,
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c10,plain,
( ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ 'xsd$uinteger'(sK5)
| 'xsd$ustring'(sK5)
| ~ cowlThing(sK4)
| cowlNothing(sK4) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
( ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(sK4)
| ~ 'xsd$ustring'(sK5)
| cowlNothing(sK4)
| 'xsd$uinteger'(sK5) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ rhasHead(iX,iY)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| cowlNothing(sK4)
| ~ cowlThing(sK4)
| ~ cowlThing(iY) ),
inference(resolution,[status(thm)],[c0,c10]) ).
cnf(d1,plain,
( ~ rhasHead(iX,iY)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
( ~ rhasHead(iX,iY)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ rhasHead(iX,iY)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
rhasHead(iX,iY),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d5,plain,
( 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ rhasHead(iX,iY)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| cowlNothing(sK4)
| ~ cowlThing(sK4)
| ~ cowlThing(iY) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(d7,plain,
( ~ rhasHead(iX,iY)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4)
| ~ cowlThing(iY) ),
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
( ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4)
| ~ cowlThing(iY) ),
inference(resolution,[status(thm)],[d4,d7]) ).
cnf(d9,plain,
( ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4) ),
inference(resolution,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
( 'xsd$uinteger'(sK5)
| 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4) ),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
'xsd$uinteger'(sK5),
inference(resolution,[status(thm)],[c0,d10]) ).
cnf(d12,plain,
'xsd$ustring'(sK5),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
~ 'xsd$uinteger'(sK5),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d11,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS169+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 19:41:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.63/1.60 % SZS status Theorem for theBenchmark.p
% 9.63/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------