%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM559+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 : n019.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 12:28:30 PM UTC 2025
% Result : Theorem 1.55s 0.56s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 82 ( 8 equ)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 78 ( 17 ~; 14 |; 29 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xx,xT),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(156,plain,
~ aElementOf0(xx,xT),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xx,xT),
inference(instantiation,[status(thm)],[156]) ).
fof(m__2227,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xT,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xT) )
& aSubsetOf0(W0,xT)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xT) ) )
| aSubsetOf0(W0,xT) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) )
& ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
cnf(126,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) ),
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l1,plain,
( ~ aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(xx,xQ)
| aElementOf0(xx,xT) ),
inference(instantiation,[status(thm)],[126]) ).
fof(m__2338,plain,
~ ~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2338) ).
cnf(155,plain,
aElementOf0(xx,xQ),
inference(cnf,[status(esa)],[m__2338]) ).
cnf(l3,plain,
aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[155]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l4,plain,
( ~ aSet0(slbdtsldtrb0(xT,xk))
| ~ aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
| aElementOf0(xQ,slbdtsldtrb0(xT,xk)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(124,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l7,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(instantiation,[status(thm)],[124]) ).
cnf(133,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l16,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(instantiation,[status(thm)],[133]) ).
fof(m__2270,plain,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
cnf(148,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf,[status(esa)],[m__2270]) ).
cnf(l9,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(instantiation,[status(thm)],[148]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l7,l16,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM559+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 12:51:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 1.55/0.56 % SZS status Theorem for theBenchmark
% 1.55/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------