%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS160+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 : n017.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 07:45:17 AM UTC 2026
% Result : Theorem 10.94s 7.90s
% Output : CNFRefutation 10.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 149 ( 66 ~; 63 |; 15 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 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_2,axiom,
! [X0] :
( cC10(X0)
<=> ( cC2(X0)
& cC4(X0) ) ) ).
fof(axiom_12,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC12(X0)
& cC8xcomp(X0) ) ) ).
fof(axiom_13,axiom,
cTEST(iV21080) ).
fof(axiom_18,axiom,
cC4(iV21081) ).
fof(axiom_20,axiom,
cC2(iV21081) ).
fof(the_axiom,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [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(c6,plain,
( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c29,plain,
( cC12(X0)
| ~ cTEST(X0) ),
inference(clausification,[status(esa)],[axiom_12]) ).
cnf(c31,plain,
cTEST(iV21080),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c36,plain,
cC4(iV21081),
inference(clausification,[status(esa)],[axiom_18]) ).
cnf(c38,plain,
cC2(iV21081),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c41,plain,
( ~ cC10(iV21081)
| ~ 'xsd$uinteger'(sK31)
| cowlNothing(sK30)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK30)
| 'xsd$ustring'(sK31) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c42,plain,
( ~ cC10(iV21081)
| cowlNothing(sK30)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cowlThing(iV21081)
| ~ 'xsd$ustring'(sK31)
| ~ cowlThing(sK30)
| 'xsd$uinteger'(sK31) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081)
| 'xsd$ustring'(sK31)
| ~ 'xsd$uinteger'(sK31)
| cowlNothing(sK30)
| ~ cowlThing(sK30)
| ~ cowlThing(iV21081) ),
inference(resolution,[status(thm)],[c0,c41]) ).
cnf(d1,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081)
| 'xsd$ustring'(sK31)
| ~ 'xsd$uinteger'(sK31)
| cowlNothing(sK30)
| ~ cowlThing(sK30) ),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081)
| 'xsd$ustring'(sK31)
| ~ 'xsd$uinteger'(sK31)
| ~ cowlThing(sK30) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081)
| 'xsd$ustring'(sK31)
| ~ 'xsd$uinteger'(sK31) ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[c29,c31]) ).
cnf(d5,plain,
( ~ cC10(iV21081)
| 'xsd$ustring'(sK31)
| ~ 'xsd$uinteger'(sK31) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ cC4(iV21081)
| cC10(iV21081) ),
inference(resolution,[status(thm)],[c38,c6]) ).
cnf(d7,plain,
cC10(iV21081),
inference(resolution,[status(thm)],[c36,d6]) ).
cnf(d8,plain,
( 'xsd$ustring'(sK31)
| ~ 'xsd$uinteger'(sK31) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ 'xsd$ustring'(sK31)
| 'xsd$uinteger'(sK31)
| cowlNothing(sK30)
| ~ cowlThing(sK30)
| ~ cowlThing(iV21081) ),
inference(resolution,[status(thm)],[c0,c42]) ).
cnf(d10,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ 'xsd$ustring'(sK31)
| 'xsd$uinteger'(sK31)
| ~ cowlThing(sK30)
| ~ cowlThing(iV21081) ),
inference(resolution,[status(thm)],[c1,d9]) ).
cnf(d11,plain,
( ~ cC10(iV21081)
| ~ 'xsd$ustring'(sK31)
| 'xsd$uinteger'(sK31)
| ~ cowlThing(sK30)
| ~ cowlThing(iV21081) ),
inference(resolution,[status(thm)],[d4,d10]) ).
cnf(d12,plain,
( ~ cC10(iV21081)
| ~ 'xsd$ustring'(sK31)
| 'xsd$uinteger'(sK31)
| ~ cowlThing(sK30) ),
inference(resolution,[status(thm)],[c0,d11]) ).
cnf(d13,plain,
( ~ 'xsd$ustring'(sK31)
| 'xsd$uinteger'(sK31)
| ~ cowlThing(sK30) ),
inference(resolution,[status(thm)],[d7,d12]) ).
cnf(d14,plain,
( ~ 'xsd$ustring'(sK31)
| 'xsd$uinteger'(sK31) ),
inference(resolution,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
( 'xsd$uinteger'(sK31)
| 'xsd$uinteger'(sK31) ),
inference(resolution,[status(thm)],[d14,c3]) ).
cnf(d16,plain,
'xsd$ustring'(sK31),
inference(resolution,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
~ 'xsd$uinteger'(sK31),
inference(resolution,[status(thm)],[d16,c2]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d15,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.44 % Computer : n017.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Fri Sep 25 19:37:09 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.94/7.90 % SZS status Theorem for theBenchmark.p
% 10.94/7.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------