%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS137+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 : n004.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 07:45:14 AM UTC 2026
% Result : Theorem 14.46s 7.56s
% Output : CNFRefutation 14.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 142 ( 64 ~; 61 |; 13 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 2 sgn 7 !; 0 ?)
% 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] :
( cCar(X0)
<=> cAutomobile(X0) ) ).
fof(axiom_4,axiom,
cAutomobile(iauto) ).
fof(axiom_6,axiom,
cCar(icar) ).
fof(the_axiom,conjecture,
( cAutomobile(icar)
& cowlThing(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cAutomobile(icar)
& cowlThing(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [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,
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c7,plain,
cAutomobile(iauto),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c9,plain,
cCar(icar),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c11,plain,
( 'xsd$ustring'(sK4)
| ~ cowlThing(icar)
| cowlNothing(sK3)
| ~ 'xsd$uinteger'(sK4)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cowlThing(sK3) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( cowlNothing(sK3)
| ~ 'xsd$ustring'(sK4)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| 'xsd$uinteger'(sK4)
| ~ cowlThing(icar)
| ~ cowlThing(sK3) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| 'xsd$ustring'(sK4)
| ~ 'xsd$uinteger'(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3)
| ~ cowlThing(icar) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(d1,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| 'xsd$ustring'(sK4)
| ~ 'xsd$uinteger'(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| 'xsd$ustring'(sK4)
| ~ 'xsd$uinteger'(sK4)
| ~ cowlThing(sK3) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| 'xsd$ustring'(sK4)
| ~ 'xsd$uinteger'(sK4) ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
cCar(iauto),
inference(resolution,[status(thm)],[c5,c7]) ).
cnf(d5,plain,
( ~ cAutomobile(icar)
| 'xsd$ustring'(sK4)
| ~ 'xsd$uinteger'(sK4) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
cAutomobile(icar),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(d7,plain,
( 'xsd$ustring'(sK4)
| ~ 'xsd$uinteger'(sK4) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ 'xsd$ustring'(sK4)
| 'xsd$uinteger'(sK4)
| cowlNothing(sK3)
| ~ cowlThing(sK3)
| ~ cowlThing(icar) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(d9,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ 'xsd$ustring'(sK4)
| 'xsd$uinteger'(sK4)
| ~ cowlThing(sK3)
| ~ cowlThing(icar) ),
inference(resolution,[status(thm)],[c1,d8]) ).
cnf(d10,plain,
( ~ cAutomobile(icar)
| ~ 'xsd$ustring'(sK4)
| 'xsd$uinteger'(sK4)
| ~ cowlThing(sK3)
| ~ cowlThing(icar) ),
inference(resolution,[status(thm)],[d4,d9]) ).
cnf(d11,plain,
( ~ cAutomobile(icar)
| ~ 'xsd$ustring'(sK4)
| 'xsd$uinteger'(sK4)
| ~ cowlThing(sK3) ),
inference(resolution,[status(thm)],[c0,d10]) ).
cnf(d12,plain,
( ~ 'xsd$ustring'(sK4)
| 'xsd$uinteger'(sK4)
| ~ cowlThing(sK3) ),
inference(resolution,[status(thm)],[d6,d11]) ).
cnf(d13,plain,
( 'xsd$uinteger'(sK4)
| 'xsd$uinteger'(sK4)
| ~ cowlThing(sK3) ),
inference(resolution,[status(thm)],[d12,c3]) ).
cnf(d14,plain,
'xsd$uinteger'(sK4),
inference(resolution,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
'xsd$ustring'(sK4),
inference(resolution,[status(thm)],[d14,d7]) ).
cnf(d16,plain,
~ 'xsd$uinteger'(sK4),
inference(resolution,[status(thm)],[d15,c2]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d14,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS137+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.65 % Computer : n004.cluster.edu
% 0.17/5.65 % Model : x86_64 x86_64
% 0.17/5.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.65 % Memory : 8046.5625MB
% 0.17/5.65 % OS : Linux 6.8.0-71-generic
% 0.17/5.65 % CPULimit : 300
% 0.17/5.65 % WCLimit : 300
% 0.17/5.65 % DateTime : Fri Sep 25 19:40:58 UTC 2026
% 0.17/5.65 % CPUTime :
% 0.17/5.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.46/7.56 % SZS status Theorem for theBenchmark.p
% 14.46/7.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------