%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS163+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 : n001.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 17.68s 2.71s
% Output : CNFRefutation 17.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 95 ( 18 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 105 ( 41 ~; 49 |; 12 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 2 sgn 7 !; 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,
cA(ia) ).
fof(axiom_4,axiom,
cB(ib) ).
fof(axiom_6,axiom,
! [X0] :
~ ( cA(X0)
& cB(X0) ) ).
fof(the_axiom,conjecture,
( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(c6,plain,
cowlThing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c7,plain,
~ cowlNothing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c8,plain,
( ~ 'xsd$uinteger'(X0)
| ~ 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c9,plain,
( 'xsd$uinteger'(X0)
| 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c10,plain,
cA(ia),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c12,plain,
cB(ib),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c14,plain,
( ~ cA(X0)
| ~ cB(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c16,plain,
( ia = ib
| ~ cowlThing(sK15)
| ~ cowlThing(ia)
| 'xsd$ustring'(sK16)
| cowlNothing(sK15)
| ~ cowlThing(ib)
| ~ 'xsd$uinteger'(sK16) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
( ia = ib
| ~ cowlThing(sK15)
| ~ cowlThing(ia)
| ~ 'xsd$ustring'(sK16)
| 'xsd$uinteger'(sK16)
| cowlNothing(sK15)
| ~ cowlThing(ib) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'xsd$ustring'(sK16)
| 'xsd$uinteger'(sK16)
| ~ cowlThing(sK15)
| ~ cowlThing(ib)
| cowlNothing(sK15)
| ia = ib ),
inference(resolution,[status(thm)],[c6,c17]) ).
cnf(d1,plain,
( ~ 'xsd$ustring'(sK16)
| 'xsd$uinteger'(sK16)
| ~ cowlThing(sK15)
| cowlNothing(sK15)
| ia = ib ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ 'xsd$ustring'(sK16)
| 'xsd$uinteger'(sK16)
| ~ cowlThing(sK15)
| ia = ib ),
inference(resolution,[status(thm)],[c7,d1]) ).
cnf(d3,plain,
( ~ 'xsd$ustring'(sK16)
| 'xsd$uinteger'(sK16)
| ia = ib ),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
( 'xsd$uinteger'(sK16)
| ia = ib
| 'xsd$uinteger'(sK16) ),
inference(resolution,[status(thm)],[c9,d3]) ).
cnf(d5,plain,
( 'xsd$ustring'(sK16)
| ~ 'xsd$uinteger'(sK16)
| ~ cowlThing(sK15)
| ~ cowlThing(ib)
| cowlNothing(sK15)
| ia = ib ),
inference(resolution,[status(thm)],[c6,c16]) ).
cnf(d6,plain,
( 'xsd$ustring'(sK16)
| ~ 'xsd$uinteger'(sK16)
| ~ cowlThing(sK15)
| cowlNothing(sK15)
| ia = ib ),
inference(resolution,[status(thm)],[c6,d5]) ).
cnf(d7,plain,
( 'xsd$ustring'(sK16)
| ~ 'xsd$uinteger'(sK16)
| ~ cowlThing(sK15)
| ia = ib ),
inference(resolution,[status(thm)],[c7,d6]) ).
cnf(d8,plain,
( 'xsd$ustring'(sK16)
| ~ 'xsd$uinteger'(sK16)
| ia = ib ),
inference(resolution,[status(thm)],[c6,d7]) ).
cnf(d9,plain,
( 'xsd$ustring'(sK16)
| ia = ib
| ia = ib ),
inference(resolution,[status(thm)],[d4,d8]) ).
cnf(d10,plain,
( ~ 'xsd$uinteger'(sK16)
| ia = ib ),
inference(resolution,[status(thm)],[d9,c8]) ).
cnf(d11,plain,
( ia = ib
| ia = ib ),
inference(resolution,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
cB(ia),
inference(demodulation,[status(thm)],[c12,d11]) ).
cnf(d13,plain,
~ cA(ia),
inference(resolution,[status(thm)],[c14,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c10,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.44 % Computer : n001.cluster.edu
% 0.21/0.44 % Model : x86_64 x86_64
% 0.21/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.44 % Memory : 8046.5625MB
% 0.21/0.44 % OS : Linux 6.8.0-71-generic
% 0.21/0.44 % CPULimit : 300
% 0.21/0.44 % WCLimit : 300
% 0.21/0.44 % DateTime : Fri Sep 25 19:47:56 UTC 2026
% 0.21/0.45 % CPUTime :
% 0.21/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.68/2.71 % SZS status Theorem for theBenchmark.p
% 17.68/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------