%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM587+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 : n022.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 12:28:35 PM UTC 2025
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 33 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 6 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xx,xT),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(186,plain,
~ aElementOf0(xx,xT),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xx,xT),
inference(instantiation,[status(thm)],[186]) ).
fof(m__4263,plain,
( xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4263) ).
cnf(184,plain,
xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf,[status(esa)],[m__4263]) ).
cnf(l22,plain,
xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(instantiation,[status(thm)],[184]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l7,plain,
( ~ aSet0(xT)
| ~ aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
| aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xT) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(185,plain,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf,[status(esa)],[m__4263]) ).
cnf(l17,plain,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(instantiation,[status(thm)],[185]) ).
fof(m__3291,plain,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
cnf(149,plain,
aSet0(xT),
inference(cnf,[status(esa)],[m__3291]) ).
cnf(l31,plain,
aSet0(xT),
inference(instantiation,[status(thm)],[149]) ).
fof(m__3453,plain,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
cnf(156,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf,[status(esa)],[m__3453]) ).
cnf(l32,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(instantiation,[status(thm)],[156]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l22,l7,l17,l31,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM587+1 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n022.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 13:02:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 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: 4
% 0.12/0.35 % launching worker at depth: 5
% 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: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.19/0.36 % launching worker at depth: 10
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------