%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS166+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 : n016.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 15.14s 12.44s
% Output : CNFRefutation 15.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 4 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 135 ( 47 ~; 74 |; 7 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 2 sgn 10 !; 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] :
( cAutomobile(X0)
=> cCar(X0) ) ).
fof(axiom_3,axiom,
! [X0] :
( cCar(X0)
=> cAutomobile(X0) ) ).
fof(the_axiom,conjecture,
( ! [X0] :
( cCar(X0)
<=> cAutomobile(X0) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
( cCar(X0)
<=> cAutomobile(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,
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c11,plain,
( cowlNothing(sK4)
| cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4)
| cCar(sK6) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( ~ cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| ~ cowlThing(sK4)
| ~ cCar(sK6)
| cowlNothing(sK4) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
( cowlNothing(sK4)
| cAutomobile(sK6)
| ~ cowlThing(sK4)
| cCar(sK6)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
( ~ cAutomobile(sK6)
| ~ cowlThing(sK4)
| ~ cCar(sK6)
| ~ 'xsd$ustring'(sK5)
| cowlNothing(sK4)
| 'xsd$uinteger'(sK5) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( cCar(sK6)
| cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| cowlNothing(sK4) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(d1,plain,
( cCar(sK6)
| cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( cCar(sK6)
| cAutomobile(sK6)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| cowlNothing(sK4) ),
inference(resolution,[status(thm)],[c0,c15]) ).
cnf(d3,plain,
( cCar(sK6)
| cAutomobile(sK6)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
( 'xsd$uinteger'(sK5)
| cCar(sK6)
| cAutomobile(sK6)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
( cAutomobile(sK6)
| 'xsd$uinteger'(sK5)
| cAutomobile(sK6) ),
inference(resolution,[status(thm)],[c5,d4]) ).
cnf(d6,plain,
( ~ cCar(sK6)
| ~ cAutomobile(sK6)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| cowlNothing(sK4) ),
inference(resolution,[status(thm)],[c0,c16]) ).
cnf(d7,plain,
( ~ cCar(sK6)
| ~ cAutomobile(sK6)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
( cCar(sK6)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d9,plain,
( ~ cAutomobile(sK6)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( 'xsd$uinteger'(sK5)
| ~ 'xsd$ustring'(sK5)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
( 'xsd$uinteger'(sK5)
| 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
( cCar(sK6)
| cAutomobile(sK6)
| 'xsd$ustring'(sK5) ),
inference(resolution,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
( cAutomobile(sK6)
| cAutomobile(sK6)
| 'xsd$ustring'(sK5) ),
inference(resolution,[status(thm)],[d12,c5]) ).
cnf(d14,plain,
( ~ cCar(sK6)
| ~ cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5)
| cowlNothing(sK4) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(d15,plain,
( ~ cCar(sK6)
| ~ cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| ~ 'xsd$uinteger'(sK5) ),
inference(resolution,[status(thm)],[c1,d14]) ).
cnf(d16,plain,
( ~ cCar(sK6)
| ~ cAutomobile(sK6)
| 'xsd$ustring'(sK5) ),
inference(resolution,[status(thm)],[d11,d15]) ).
cnf(d17,plain,
( cCar(sK6)
| 'xsd$ustring'(sK5) ),
inference(resolution,[status(thm)],[d13,c4]) ).
cnf(d18,plain,
( ~ cAutomobile(sK6)
| 'xsd$ustring'(sK5)
| 'xsd$ustring'(sK5) ),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( 'xsd$ustring'(sK5)
| 'xsd$ustring'(sK5) ),
inference(resolution,[status(thm)],[d18,d13]) ).
cnf(d20,plain,
~ 'xsd$uinteger'(sK5),
inference(resolution,[status(thm)],[d19,c2]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d11,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS166+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
% 0.17/10.45 % Computer : n016.cluster.edu
% 0.17/10.45 % Model : x86_64 x86_64
% 0.17/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.45 % Memory : 8046.5625MB
% 0.17/10.45 % OS : Linux 6.8.0-71-generic
% 0.17/10.45 % CPULimit : 300
% 0.17/10.45 % WCLimit : 300
% 0.17/10.45 % DateTime : Fri Sep 25 19:47:10 UTC 2026
% 0.17/10.46 % CPUTime :
% 0.17/10.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.14/12.44 % SZS status Theorem for theBenchmark.p
% 15.14/12.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------