%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM600+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 12:28:37 PM UTC 2025
% Result : Theorem 2.35s 0.67s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 50 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 44 ( 9 ~; 10 |; 18 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
! [W0] :
( ( ? [W1] :
( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 )
& aElementOf0(W0,xO) )
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& ( sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)
| aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,W1) = W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ! [W0] :
( ( ? [W1] :
( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 )
& aElementOf0(W0,xO) )
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& ( sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)
| aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,W1) = W0 ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(374,plain,
aElementOf0(sK54,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aElementOf0(sK54,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[374]) ).
cnf(378,plain,
( sdtlpdtrp0(xe,X0) != sK53
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1,plain,
( sdtlpdtrp0(xe,sK54) != sK53
| ~ aElementOf0(sK54,szNzAzT0)
| ~ aElementOf0(sK54,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(instantiation,[status(thm)],[378]) ).
cnf(375,plain,
sdtlpdtrp0(xe,sK54) = sK53,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l4,plain,
sdtlpdtrp0(xe,sK54) = sK53,
inference(instantiation,[status(thm)],[375]) ).
fof(m__4730,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& ( ( ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& sbrdtbr0(W1) = xk )
| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )
=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
cnf(347,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf,[status(esa)],[m__4730]) ).
cnf(l25,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(instantiation,[status(thm)],[347]) ).
fof(m__4891,plain,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) )
& ! [W0] :
( aElementOf0(W0,xO)
<=> ? [W1] :
( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) )
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
cnf(365,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szDzozmdt0(xd)) ),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l26,plain,
( ~ aElementOf0(sK54,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(sK54,szDzozmdt0(xd)) ),
inference(instantiation,[status(thm)],[365]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l25,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM600+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 13:08:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 9
% 0.19/0.49 % launching worker at depth: 10
% 2.35/0.67 % SZS status Theorem for theBenchmark
% 2.35/0.67 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------