%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM551+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 : 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 12:28:28 PM UTC 2025
% Result : Theorem 2.88s 0.75s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 41 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 12 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElement0(W0)
& aElementOf0(W0,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElement0(W0)
& aElementOf0(W0,xQ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(124,plain,
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sK1(xQ))
| ~ aElementOf0(sK1(xQ),xQ) ),
inference(instantiation,[status(thm)],[124]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(0,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l1,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(sK1(xQ),xQ)
| aElement0(sK1(xQ)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(m__2291,plain,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
cnf(120,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__2291]) ).
cnf(l7,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[120]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(3,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK1(X0),X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l2,plain,
( ~ aSet0(xQ)
| xQ = slcrc0
| aElementOf0(sK1(xQ),xQ) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
( ~ aSet0(xQ)
| xQ = slcrc0
| aElementOf0(sK1(xQ),xQ) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l10,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[120]) ).
cnf(l4,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[120]) ).
fof(m__2313,plain,
xQ != slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2313) ).
cnf(123,plain,
xQ != slcrc0,
inference(cnf,[status(esa)],[m__2313]) ).
cnf(l29,plain,
xQ != slcrc0,
inference(instantiation,[status(thm)],[123]) ).
cnf(l3,plain,
xQ != slcrc0,
inference(instantiation,[status(thm)],[123]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l2,l5,l10,l4,l29,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM551+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 : n027.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 12:48:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 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: 9
% 0.12/0.36 % launching worker at depth: 10
% 2.88/0.75 % SZS status Theorem for theBenchmark
% 2.88/0.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------