%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG047+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 08:25:42 AM UTC 2026
% Result : Theorem 14.41s 3.04s
% Output : CNFRefutation 14.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 60 ( 27 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 17 |; 10 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccEqu,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ) ).
fof(mDimNat,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ) ).
fof(m__1329_01,hypothesis,
( aDimensionOf0(xt) != sz00
& aDimensionOf0(xs) = aDimensionOf0(xt) ) ).
fof(m__,conjecture,
( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& aVector0(sziznziztdt0(xs)) )
=> ( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xt),X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& aVector0(sziznziztdt0(xt)) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& aVector0(sziznziztdt0(xs)) )
=> ( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xt),X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& aVector0(sziznziztdt0(xt)) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c5,plain,
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mSuccEqu]) ).
cnf(c40,plain,
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(clausification,[status(esa)],[mDimNat]) ).
cnf(c51,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(clausification,[status(esa)],[m__1329_01]) ).
cnf(c53,plain,
aVector0(sziznziztdt0(xs)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
aVector0(sziznziztdt0(xt)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| aDimensionOf0(sziznziztdt0(xs)) = X0
| aDimensionOf0(xs) != szszuzczcdt0(X0) ),
inference(superposition,[status(thm)],[c54,c5]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))
| aDimensionOf0(xs) != aDimensionOf0(xt) ),
inference(superposition,[status(thm)],[c57,d0]) ).
cnf(d2,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| aDimensionOf0(xt) != aDimensionOf0(xt)
| aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ),
inference(demodulation,[status(thm)],[d1,c51]) ).
cnf(d3,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| aDimensionOf0(xt) != aDimensionOf0(xt) ),
inference(resolution,[status(thm)],[c59,d2]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( ~ aVector0(sziznziztdt0(xt))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(resolution,[status(thm)],[d4,c40]) ).
cnf(d6,plain,
~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(resolution,[status(thm)],[c56,d5]) ).
cnf(d7,plain,
~ aVector0(sziznziztdt0(xs)),
inference(resolution,[status(thm)],[d6,c40]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c53,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG047+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.59 % Computer : n010.cluster.edu
% 0.20/0.59 % Model : x86_64 x86_64
% 0.20/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.59 % Memory : 8046.5625MB
% 0.20/0.59 % OS : Linux 6.8.0-71-generic
% 0.20/0.59 % CPULimit : 300
% 0.20/0.59 % WCLimit : 300
% 0.20/0.59 % DateTime : Sat Sep 26 05:52:30 UTC 2026
% 0.20/0.59 % CPUTime :
% 0.20/0.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.41/3.04 % SZS status Theorem for theBenchmark.p
% 14.41/3.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------