%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS158+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 : n003.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 11.66s 1.87s
% Output : CNFRefutation 11.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 270 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 378 ( 173 ~; 169 |; 28 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_1,axiom,
! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) ) ).
fof(axiom_5,axiom,
! [X0] :
( cC12(X0)
<=> ( cC2xcomp(X0)
& cC10xcomp(X0) ) ) ).
fof(axiom_7,axiom,
! [X0] :
( cC16(X0)
<=> ( cC8(X0)
& cC14(X0) ) ) ).
fof(axiom_8,axiom,
! [X0] :
( cC18(X0)
<=> ( cC16(X0)
& cTOP(X0) ) ) ).
fof(axiom_14,axiom,
! [X0] :
( cC6(X0)
<=> ( cC2xcomp(X0)
& cC4xcomp(X0) ) ) ).
fof(axiom_16,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC18(X0)
& cTOP(X0) ) ) ).
fof(axiom_18,axiom,
cTEST(iV16560) ).
fof(axiom_24,axiom,
cC4xcomp(iV16561) ).
fof(axiom_25,axiom,
cC2xcomp(iV16561) ).
fof(axiom_28,axiom,
cC10xcomp(iV16562) ).
fof(axiom_29,axiom,
cC2xcomp(iV16562) ).
fof(the_axiom,conjecture,
( cowlThing(iV16562)
& cC12(iV16562)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16560)
& cC16(iV16560)
& cC8(iV16560)
& cC14(iV16560)
& cC18(iV16560)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cowlThing(iV16562)
& cC12(iV16562)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16560)
& cC16(iV16560)
& cC8(iV16560)
& cC14(iV16560)
& cC18(iV16560)
& ! [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(c13,plain,
( ~ cC2xcomp(X0)
| ~ cC10xcomp(X0)
| cC12(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c17,plain,
( cC14(X0)
| ~ cC16(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c18,plain,
( cC8(X0)
| ~ cC16(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c21,plain,
( cC16(X0)
| ~ cC18(X0) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c36,plain,
( ~ cC2xcomp(X0)
| ~ cC4xcomp(X0)
| cC6(X0) ),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c41,plain,
( cC18(X0)
| ~ cTEST(X0) ),
inference(clausification,[status(esa)],[axiom_16]) ).
cnf(c44,plain,
cTEST(iV16560),
inference(clausification,[status(esa)],[axiom_18]) ).
cnf(c50,plain,
cC4xcomp(iV16561),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c51,plain,
cC2xcomp(iV16561),
inference(clausification,[status(esa)],[axiom_25]) ).
cnf(c54,plain,
cC10xcomp(iV16562),
inference(clausification,[status(esa)],[axiom_28]) ).
cnf(c55,plain,
cC2xcomp(iV16562),
inference(clausification,[status(esa)],[axiom_29]) ).
cnf(c57,plain,
( ~ cowlThing(iV16560)
| 'xsd$ustring'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ 'xsd$uinteger'(sK40)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| cowlNothing(sK39) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c58,plain,
( ~ cowlThing(iV16560)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| 'xsd$uinteger'(sK40)
| ~ 'xsd$ustring'(sK40)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| cowlNothing(sK39) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| cowlNothing(sK39)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562) ),
inference(resolution,[status(thm)],[c0,c57]) ).
cnf(d1,plain,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
cC18(iV16560),
inference(resolution,[status(thm)],[c41,c44]) ).
cnf(d3,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561) ),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
cC16(iV16560),
inference(resolution,[status(thm)],[d2,c21]) ).
cnf(d6,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39) ),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
cC8(iV16560),
inference(resolution,[status(thm)],[d5,c18]) ).
cnf(d9,plain,
( ~ cC6(iV16561)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ cC6(iV16561)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
cC14(iV16560),
inference(resolution,[status(thm)],[d5,c17]) ).
cnf(d12,plain,
( ~ cC6(iV16561)
| ~ cC12(iV16562)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( cC12(iV16562)
| ~ cC2xcomp(iV16562) ),
inference(resolution,[status(thm)],[c13,c54]) ).
cnf(d14,plain,
cC12(iV16562),
inference(resolution,[status(thm)],[c55,d13]) ).
cnf(d15,plain,
( ~ cC6(iV16561)
| 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
( cC6(iV16561)
| ~ cC2xcomp(iV16561) ),
inference(resolution,[status(thm)],[c36,c50]) ).
cnf(d17,plain,
cC6(iV16561),
inference(resolution,[status(thm)],[c51,d16]) ).
cnf(d18,plain,
( 'xsd$ustring'(sK40)
| ~ 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| cowlNothing(sK39)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562) ),
inference(resolution,[status(thm)],[c0,c58]) ).
cnf(d20,plain,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562) ),
inference(resolution,[status(thm)],[c1,d19]) ).
cnf(d21,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561)
| ~ cowlThing(iV16562) ),
inference(resolution,[status(thm)],[d2,d20]) ).
cnf(d22,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561) ),
inference(resolution,[status(thm)],[c0,d21]) ).
cnf(d23,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39)
| ~ cowlThing(iV16561) ),
inference(resolution,[status(thm)],[d5,d22]) ).
cnf(d24,plain,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39) ),
inference(resolution,[status(thm)],[c0,d23]) ).
cnf(d25,plain,
( ~ cC6(iV16561)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40)
| ~ cowlThing(sK39) ),
inference(resolution,[status(thm)],[d8,d24]) ).
cnf(d26,plain,
( ~ cC6(iV16561)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[c0,d25]) ).
cnf(d27,plain,
( ~ cC6(iV16561)
| ~ cC12(iV16562)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d11,d26]) ).
cnf(d28,plain,
( ~ cC6(iV16561)
| ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d14,d27]) ).
cnf(d29,plain,
( ~ 'xsd$ustring'(sK40)
| 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d17,d28]) ).
cnf(d30,plain,
( 'xsd$uinteger'(sK40)
| 'xsd$uinteger'(sK40) ),
inference(resolution,[status(thm)],[d29,c3]) ).
cnf(d31,plain,
'xsd$ustring'(sK40),
inference(resolution,[status(thm)],[d30,d18]) ).
cnf(d32,plain,
~ 'xsd$uinteger'(sK40),
inference(resolution,[status(thm)],[d31,c2]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d30,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 19:43:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.66/1.87 % SZS status Theorem for theBenchmark.p
% 11.66/1.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------