%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM633+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 : n018.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 12:28:44 PM UTC 2025
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 55 ( 10 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 53 ( 19 ~; 14 |; 14 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xO,xK))
=> ( W0 != slcrc0
& aSubsetOf0(W0,szNzAzT0)
& aElementOf0(W0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) )
=> ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( aSubsetOf0(W1,xS)
& isCountable0(W1)
& ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> sdtlpdtrp0(xc,W2) = W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xO,xK))
=> ( W0 != slcrc0
& aSubsetOf0(W0,szNzAzT0)
& aElementOf0(W0,szDzozmdt0(xc))
& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) )
=> ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( aSubsetOf0(W1,xS)
& isCountable0(W1)
& ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> sdtlpdtrp0(xc,W2) = W0 ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(208,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
| sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElementOf0(sK28(szDzizrdt0(xd),xO),slbdtsldtrb0(xO,xK))
| sdtlpdtrp0(xc,sK28(szDzizrdt0(xd),xO)) = szDzizrdt0(xd) ),
inference(instantiation,[status(thm)],[208]) ).
cnf(210,plain,
( sdtlpdtrp0(xc,sK28(X0,X1)) != X0
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l5,plain,
( sdtlpdtrp0(xc,sK28(szDzizrdt0(xd),xO)) != szDzizrdt0(xd)
| ~ aElementOf0(szDzizrdt0(xd),xT)
| ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS) ),
inference(instantiation,[status(thm)],[210]) ).
cnf(209,plain,
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| aElementOf0(sK28(X0,X1),slbdtsldtrb0(X1,xK)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1,plain,
( ~ aElementOf0(szDzizrdt0(xd),xT)
| ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| aElementOf0(sK28(szDzizrdt0(xd),xO),slbdtsldtrb0(xO,xK)) ),
inference(instantiation,[status(thm)],[209]) ).
fof(m__4908,plain,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
cnf(200,plain,
isCountable0(xO),
inference(cnf,[status(esa)],[m__4908]) ).
cnf(l6,plain,
isCountable0(xO),
inference(instantiation,[status(thm)],[200]) ).
fof(m__4998,plain,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
cnf(204,plain,
aSubsetOf0(xO,xS),
inference(cnf,[status(esa)],[m__4998]) ).
cnf(l2,plain,
aSubsetOf0(xO,xS),
inference(instantiation,[status(thm)],[204]) ).
cnf(l3,plain,
isCountable0(xO),
inference(instantiation,[status(thm)],[200]) ).
fof(m__4854,plain,
( aElementOf0(szDzizrdt0(xd),xT)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
cnf(195,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf,[status(esa)],[m__4854]) ).
cnf(l10,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(instantiation,[status(thm)],[195]) ).
cnf(l7,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(instantiation,[status(thm)],[195]) ).
cnf(l8,plain,
aSubsetOf0(xO,xS),
inference(instantiation,[status(thm)],[204]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l1,l6,l2,l3,l10,l7,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM633+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 13:18:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 9
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------