%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS156+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 : n009.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 07:45:16 AM UTC 2026
% Result : Theorem 14.12s 2.41s
% Output : CNFRefutation 14.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 147 ( 65 ~; 62 |; 15 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 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_49,axiom,
! [X0] :
( cC140(X0)
<=> ( cC138(X0)
& cTOP(X0) ) ) ).
fof(axiom_127,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC116(X0)
& cC140(X0) ) ) ).
fof(axiom_131,axiom,
cTEST(iV5475) ).
fof(the_axiom,conjecture,
( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [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(c122,plain,
( cC138(X0)
| ~ cC140(X0) ),
inference(clausification,[status(esa)],[axiom_49]) ).
cnf(c323,plain,
( cC140(X0)
| ~ cTEST(X0) ),
inference(clausification,[status(esa)],[axiom_127]) ).
cnf(c324,plain,
( cC116(X0)
| ~ cTEST(X0) ),
inference(clausification,[status(esa)],[axiom_127]) ).
cnf(c329,plain,
cTEST(iV5475),
inference(clausification,[status(esa)],[axiom_131]) ).
cnf(c344,plain,
( ~ cowlThing(sK320)
| ~ cC138(iV5475)
| cowlNothing(sK320)
| 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c345,plain,
( ~ cowlThing(sK320)
| ~ cC138(iV5475)
| cowlNothing(sK320)
| ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321)
| cowlNothing(sK320)
| ~ cowlThing(sK320) ),
inference(resolution,[status(thm)],[c0,c344]) ).
cnf(d1,plain,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321)
| cowlNothing(sK320) ),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
cC140(iV5475),
inference(resolution,[status(thm)],[c323,c329]) ).
cnf(d4,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
cC138(iV5475),
inference(resolution,[status(thm)],[d3,c122]) ).
cnf(d6,plain,
( ~ cC116(iV5475)
| 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
cC116(iV5475),
inference(resolution,[status(thm)],[c324,c329]) ).
cnf(d8,plain,
( 'xsd$ustring'(sK321)
| ~ 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321)
| cowlNothing(sK320)
| ~ cowlThing(sK320) ),
inference(resolution,[status(thm)],[c0,c345]) ).
cnf(d10,plain,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321)
| ~ cowlThing(sK320) ),
inference(resolution,[status(thm)],[c1,d9]) ).
cnf(d11,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321)
| ~ cowlThing(sK320) ),
inference(resolution,[status(thm)],[d3,d10]) ).
cnf(d12,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[c0,d11]) ).
cnf(d13,plain,
( ~ cC116(iV5475)
| ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[d5,d12]) ).
cnf(d14,plain,
( ~ 'xsd$ustring'(sK321)
| 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[d7,d13]) ).
cnf(d15,plain,
( 'xsd$uinteger'(sK321)
| 'xsd$uinteger'(sK321) ),
inference(resolution,[status(thm)],[d14,c3]) ).
cnf(d16,plain,
'xsd$ustring'(sK321),
inference(resolution,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
~ 'xsd$uinteger'(sK321),
inference(resolution,[status(thm)],[d16,c2]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d15,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 19:42:00 UTC 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.12/2.41 % SZS status Theorem for theBenchmark.p
% 14.12/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------