%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG047+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:02:44 PM UTC 2025
% Result : Theorem 11.99s 1.89s
% Output : CNFRefutation 11.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 53 ( 26 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 43 ( 13 ~; 9 |; 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 : 10 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [W0] :
( aNaturalNumber0(W0)
=> sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) )
=> ( ( aVector0(sziznziztdt0(xt))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& ! [W0] :
( aNaturalNumber0(W0)
=> sdtlbdtrb0(sziznziztdt0(xt),W0) = sdtlbdtrb0(xt,W0) ) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [W0] :
( aNaturalNumber0(W0)
=> sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) )
=> ( ( aVector0(sziznziztdt0(xt))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& ! [W0] :
( aNaturalNumber0(W0)
=> sdtlbdtrb0(sziznziztdt0(xt),W0) = sdtlbdtrb0(xt,W0) ) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(51,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(instantiation,[status(thm)],[51]) ).
fof(mSuccEqu,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
cnf(5,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[mSuccEqu]) ).
cnf(l139,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) != szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
| aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(mDimNat,plain,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
cnf(39,plain,
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf,[status(esa)],[mDimNat]) ).
cnf(l145,plain,
( ~ aVector0(sziznziztdt0(xs))
| aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(50,plain,
aVector0(sziznziztdt0(xs)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l148,plain,
aVector0(sziznziztdt0(xs)),
inference(instantiation,[status(thm)],[50]) ).
cnf(56,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l186,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(instantiation,[status(thm)],[56]) ).
fof(m__1329_01,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
& aDimensionOf0(xt) != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).
cnf(48,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf,[status(esa)],[m__1329_01]) ).
cnf(l47,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(instantiation,[status(thm)],[48]) ).
cnf(54,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l80,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
inference(instantiation,[status(thm)],[54]) ).
cnf(l164,plain,
( ~ aVector0(sziznziztdt0(xt))
| aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(53,plain,
aVector0(sziznziztdt0(xt)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l165,plain,
aVector0(sziznziztdt0(xt)),
inference(instantiation,[status(thm)],[53]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l139,l145,l148,l186,l47,l80,l164,l165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : RNG047+2 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 17:42:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.38 % launching worker at depth: 10
% 2.41/0.70 % launching worker at depth: 11
% 11.99/1.89 % SZS status Theorem for theBenchmark
% 11.99/1.89 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------