%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM568+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 12:28:31 PM UTC 2025
% Result : Theorem 2.40s 0.64s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 35 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 11 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 1 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& szszuzczcdt0(W0) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& szszuzczcdt0(W0) = xK ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(202,plain,
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( szszuzczcdt0(sK5(xK)) != xK
| ~ aElementOf0(sK5(xK),szNzAzT0) ),
inference(instantiation,[status(thm)],[202]) ).
fof(mNatExtra,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( W0 = sz00
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& W0 = szszuzczcdt0(W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
cnf(50,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| X0 = szszuzczcdt0(sK5(X0)) ),
inference(cnf,[status(esa)],[mNatExtra]) ).
cnf(l2,plain,
( ~ aElementOf0(xK,szNzAzT0)
| xK = sz00
| xK = szszuzczcdt0(sK5(xK)) ),
inference(instantiation,[status(thm)],[50]) ).
fof(m__3418,plain,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
cnf(151,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf,[status(esa)],[m__3418]) ).
cnf(l10,plain,
aElementOf0(xK,szNzAzT0),
inference(instantiation,[status(thm)],[151]) ).
fof(m__3520,plain,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
cnf(201,plain,
xK != sz00,
inference(cnf,[status(esa)],[m__3520]) ).
cnf(l20,plain,
xK != sz00,
inference(instantiation,[status(thm)],[201]) ).
cnf(49,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| aElementOf0(sK5(X0),szNzAzT0) ),
inference(cnf,[status(esa)],[mNatExtra]) ).
cnf(l13,plain,
( ~ aElementOf0(xK,szNzAzT0)
| xK = sz00
| aElementOf0(sK5(xK),szNzAzT0) ),
inference(instantiation,[status(thm)],[49]) ).
cnf(l16,plain,
aElementOf0(xK,szNzAzT0),
inference(instantiation,[status(thm)],[151]) ).
fof(m__3462,plain,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
cnf(200,plain,
xK != sz00,
inference(cnf,[status(esa)],[m__3462]) ).
cnf(l14,plain,
xK != sz00,
inference(instantiation,[status(thm)],[200]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l10,l20,l13,l16,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM568+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 12:54:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.35 % launching worker at depth: 10
% 2.40/0.64 % SZS status Theorem for theBenchmark
% 2.40/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------