%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS146+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 : n015.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 07:45:15 AM UTC 2026
% Result : Theorem 13.62s 2.32s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 37 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 426 ( 201 ~; 183 |; 31 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_1,axiom,
! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) ) ).
fof(axiom_7,axiom,
! [X0] :
( cC110(X0)
<=> ( ~ cC108(X0)
& ~ cC102(X0) ) ) ).
fof(axiom_9,axiom,
! [X0] :
( cC114(X0)
<=> ( ~ cC112(X0)
& ~ cC96(X0) ) ) ).
fof(axiom_10,axiom,
! [X0] :
( cC116(X0)
<=> ( cC80(X0)
& cC114(X0) ) ) ).
fof(axiom_21,axiom,
! [X0] :
( cC136(X0)
<=> ( ~ cC134(X0)
& cC116(X0) ) ) ).
fof(axiom_43,axiom,
! [X0] :
( cC56(X0)
<=> ( ~ cC10(X0)
& cC4(X0) ) ) ).
fof(axiom_44,axiom,
! [X0] :
( cC58(X0)
<=> ( cC56(X0)
& cC34(X0) ) ) ).
fof(axiom_57,axiom,
! [X0] :
( cC80(X0)
<=> ( ~ cC76(X0)
& ~ cC78(X0) ) ) ).
fof(axiom_64,axiom,
! [X0] :
( cC94(X0)
<=> ( ~ cC92(X0)
& ~ cC86(X0) ) ) ).
fof(axiom_70,axiom,
~ cC102(iV822576) ).
fof(axiom_71,axiom,
~ cC134(iV822576) ).
fof(axiom_74,axiom,
cC34(iV822576) ).
fof(axiom_75,axiom,
cC4(iV822576) ).
fof(axiom_76,axiom,
~ cC96(iV822576) ).
fof(axiom_77,axiom,
~ cC86(iV822576) ).
fof(axiom_78,axiom,
~ cC92(iV822576) ).
fof(axiom_79,axiom,
~ cC108(iV822576) ).
fof(axiom_84,axiom,
~ cC10(iV822576) ).
fof(axiom_86,axiom,
~ cC76(iV822576) ).
fof(axiom_87,axiom,
~ cC112(iV822576) ).
fof(axiom_88,axiom,
~ cC78(iV822576) ).
fof(the_axiom,conjecture,
( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [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(c21,plain,
( cC108(X0)
| cC102(X0)
| cC110(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c27,plain,
( cC112(X0)
| cC96(X0)
| cC114(X0) ),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c30,plain,
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c63,plain,
( cC134(X0)
| ~ cC116(X0)
| cC136(X0) ),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c129,plain,
( cC10(X0)
| ~ cC4(X0)
| cC56(X0) ),
inference(clausification,[status(esa)],[axiom_43]) ).
cnf(c132,plain,
( ~ cC56(X0)
| ~ cC34(X0)
| cC58(X0) ),
inference(clausification,[status(esa)],[axiom_44]) ).
cnf(c171,plain,
( cC76(X0)
| cC78(X0)
| cC80(X0) ),
inference(clausification,[status(esa)],[axiom_57]) ).
cnf(c192,plain,
( cC92(X0)
| cC86(X0)
| cC94(X0) ),
inference(clausification,[status(esa)],[axiom_64]) ).
cnf(c204,plain,
~ cC102(iV822576),
inference(clausification,[status(esa)],[axiom_70]) ).
cnf(c205,plain,
~ cC134(iV822576),
inference(clausification,[status(esa)],[axiom_71]) ).
cnf(c208,plain,
cC34(iV822576),
inference(clausification,[status(esa)],[axiom_74]) ).
cnf(c209,plain,
cC4(iV822576),
inference(clausification,[status(esa)],[axiom_75]) ).
cnf(c210,plain,
~ cC96(iV822576),
inference(clausification,[status(esa)],[axiom_76]) ).
cnf(c211,plain,
~ cC86(iV822576),
inference(clausification,[status(esa)],[axiom_77]) ).
cnf(c212,plain,
~ cC92(iV822576),
inference(clausification,[status(esa)],[axiom_78]) ).
cnf(c213,plain,
~ cC108(iV822576),
inference(clausification,[status(esa)],[axiom_79]) ).
cnf(c218,plain,
~ cC10(iV822576),
inference(clausification,[status(esa)],[axiom_84]) ).
cnf(c220,plain,
~ cC76(iV822576),
inference(clausification,[status(esa)],[axiom_86]) ).
cnf(c221,plain,
~ cC112(iV822576),
inference(clausification,[status(esa)],[axiom_87]) ).
cnf(c222,plain,
~ cC78(iV822576),
inference(clausification,[status(esa)],[axiom_88]) ).
cnf(c226,plain,
( ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cowlThing(iV822576)
| ~ cowlThing(sK97)
| ~ cC136(iV822576)
| cowlNothing(sK97)
| 'xsd$ustring'(sK98)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC58(iV822576)
| ~ cC110(iV822576)
| ~ 'xsd$uinteger'(sK98) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c227,plain,
( ~ cC116(iV822576)
| ~ cC56(iV822576)
| 'xsd$uinteger'(sK98)
| ~ cowlThing(iV822576)
| ~ cowlThing(sK97)
| ~ cC136(iV822576)
| ~ 'xsd$ustring'(sK98)
| cowlNothing(sK97)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC58(iV822576)
| ~ cC110(iV822576) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98)
| cowlNothing(sK97)
| ~ cowlThing(sK97) ),
inference(resolution,[status(thm)],[c0,c226]) ).
cnf(d1,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98)
| ~ cowlThing(sK97) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( cC110(iV822576)
| cC102(iV822576) ),
inference(resolution,[status(thm)],[c21,c213]) ).
cnf(d3,plain,
cC110(iV822576),
inference(resolution,[status(thm)],[c204,d2]) ).
cnf(d4,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98)
| ~ cowlThing(sK97) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( cC114(iV822576)
| cC112(iV822576) ),
inference(resolution,[status(thm)],[c27,c210]) ).
cnf(d7,plain,
cC114(iV822576),
inference(resolution,[status(thm)],[c221,d6]) ).
cnf(d8,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( cC56(iV822576)
| cC10(iV822576) ),
inference(resolution,[status(thm)],[c129,c209]) ).
cnf(d10,plain,
cC56(iV822576),
inference(resolution,[status(thm)],[c218,d9]) ).
cnf(d11,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( cC76(iV822576)
| cC80(iV822576) ),
inference(resolution,[status(thm)],[c171,c222]) ).
cnf(d13,plain,
cC80(iV822576),
inference(resolution,[status(thm)],[c220,d12]) ).
cnf(d14,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( cC94(iV822576)
| cC86(iV822576) ),
inference(resolution,[status(thm)],[c192,c212]) ).
cnf(d16,plain,
cC94(iV822576),
inference(resolution,[status(thm)],[c211,d15]) ).
cnf(d17,plain,
( ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
( cC58(iV822576)
| ~ cC34(iV822576) ),
inference(resolution,[status(thm)],[d10,c132]) ).
cnf(d19,plain,
cC58(iV822576),
inference(resolution,[status(thm)],[c208,d18]) ).
cnf(d20,plain,
( ~ cC136(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
( cC116(iV822576)
| ~ cC114(iV822576) ),
inference(resolution,[status(thm)],[d13,c30]) ).
cnf(d22,plain,
cC116(iV822576),
inference(resolution,[status(thm)],[d7,d21]) ).
cnf(d23,plain,
( ~ cC136(iV822576)
| 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
( cC136(iV822576)
| cC134(iV822576) ),
inference(resolution,[status(thm)],[d22,c63]) ).
cnf(d25,plain,
cC136(iV822576),
inference(resolution,[status(thm)],[c205,d24]) ).
cnf(d26,plain,
( 'xsd$ustring'(sK98)
| ~ 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98)
| cowlNothing(sK97)
| ~ cowlThing(sK97) ),
inference(resolution,[status(thm)],[c0,c227]) ).
cnf(d28,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98)
| ~ cowlThing(sK97) ),
inference(resolution,[status(thm)],[c1,d27]) ).
cnf(d29,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98)
| ~ cowlThing(sK97) ),
inference(resolution,[status(thm)],[d3,d28]) ).
cnf(d30,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[c0,d29]) ).
cnf(d31,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d7,d30]) ).
cnf(d32,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d10,d31]) ).
cnf(d33,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d13,d32]) ).
cnf(d34,plain,
( ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d16,d33]) ).
cnf(d35,plain,
( ~ cC136(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d19,d34]) ).
cnf(d36,plain,
( ~ cC136(iV822576)
| ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d22,d35]) ).
cnf(d37,plain,
( ~ 'xsd$ustring'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d25,d36]) ).
cnf(d38,plain,
( 'xsd$uinteger'(sK98)
| 'xsd$uinteger'(sK98) ),
inference(resolution,[status(thm)],[d37,c3]) ).
cnf(d39,plain,
'xsd$ustring'(sK98),
inference(resolution,[status(thm)],[d38,d26]) ).
cnf(d40,plain,
~ 'xsd$uinteger'(sK98),
inference(resolution,[status(thm)],[d39,c2]) ).
cnf(d41,plain,
$false,
inference(resolution,[status(thm)],[d38,d40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS146+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
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 19:44:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.62/2.32 % SZS status Theorem for theBenchmark.p
% 13.62/2.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------