%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG047+1 : 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 : n021.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 50.90s 6.76s
% Output : CNFRefutation 50.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 20 unt; 0 def)
% Number of atoms : 75 ( 40 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 27 |; 5 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(50,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(instantiation,[status(thm)],[50]) ).
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(l1,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(l5,plain,
( ~ aVector0(sziznziztdt0(xt))
| aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(mDefInit,plain,
! [W0] :
( aVector0(W0)
=> ( aDimensionOf0(W0) != sz00
=> ! [W1] :
( W1 = sziznziztdt0(W0)
<=> ( aVector0(W1)
& szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
& ! [W2] :
( aNaturalNumber0(W2)
=> sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
cnf(41,plain,
( X0 != sziznziztdt0(X1)
| ~ aVector0(X1)
| aDimensionOf0(X1) = sz00
| aVector0(X0) ),
inference(cnf,[status(esa)],[mDefInit]) ).
cnf(l6,plain,
( sziznziztdt0(xt) != sziznziztdt0(xt)
| ~ aVector0(xt)
| aDimensionOf0(xt) = sz00
| aVector0(sziznziztdt0(xt)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l2,plain,
( ~ aVector0(sziznziztdt0(xs))
| aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(m__1329_01,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
& aDimensionOf0(xt) != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).
cnf(49,plain,
aDimensionOf0(xt) != sz00,
inference(cnf,[status(esa)],[m__1329_01]) ).
cnf(l247,plain,
aDimensionOf0(xt) != sz00,
inference(instantiation,[status(thm)],[49]) ).
cnf(l3,plain,
( sziznziztdt0(xs) != sziznziztdt0(xs)
| ~ aVector0(xs)
| aDimensionOf0(xs) = sz00
| aVector0(sziznziztdt0(xs)) ),
inference(instantiation,[status(thm)],[41]) ).
fof(m__1329,plain,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329) ).
cnf(46,plain,
aVector0(xs),
inference(cnf,[status(esa)],[m__1329]) ).
cnf(l18,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[46]) ).
cnf(47,plain,
aVector0(xt),
inference(cnf,[status(esa)],[m__1329]) ).
cnf(l35,plain,
aVector0(xt),
inference(instantiation,[status(thm)],[47]) ).
cnf(42,plain,
( X0 != sziznziztdt0(X1)
| ~ aVector0(X1)
| szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00 ),
inference(cnf,[status(esa)],[mDefInit]) ).
cnf(l12,plain,
( sziznziztdt0(xs) != sziznziztdt0(xs)
| ~ aVector0(xs)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
| aDimensionOf0(xs) = sz00 ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l24,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[46]) ).
cnf(48,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf,[status(esa)],[m__1329_01]) ).
cnf(l14,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(instantiation,[status(thm)],[48]) ).
cnf(l1036,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(instantiation,[status(thm)],[48]) ).
cnf(l1048,plain,
aDimensionOf0(xt) != sz00,
inference(instantiation,[status(thm)],[49]) ).
cnf(l49,plain,
( sziznziztdt0(xt) != sziznziztdt0(xt)
| ~ aVector0(xt)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
| aDimensionOf0(xt) = sz00 ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l211,plain,
aVector0(xt),
inference(instantiation,[status(thm)],[47]) ).
cnf(l731,plain,
aDimensionOf0(xt) != sz00,
inference(instantiation,[status(thm)],[49]) ).
cnf(l1150,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(instantiation,[status(thm)],[48]) ).
cnf(l1140,plain,
aDimensionOf0(xt) != sz00,
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l6,l2,l247,l3,l18,l35,l12,l24,l14,l1036,l1048,l49,l211,l731,l1150,l1140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG047+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 17:42:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.40 % launching worker at depth: 12
% 6.55/1.20 % launching worker at depth: 13
% 50.90/6.76 % SZS status Theorem for theBenchmark
% 50.90/6.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------