%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM564+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 : n024.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 12:28:31 PM UTC 2025
% Result : Theorem 15.07s 2.27s
% Output : CNFRefutation 15.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 81 ( 18 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 82 ( 35 ~; 31 |; 7 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(162,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(instantiation,[status(thm)],[162]) ).
fof(mDefSel,plain,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& sbrdtbr0(W3) = W1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
cnf(103,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| sbrdtbr0(X3) != X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X1) ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l1,plain,
( ~ aSet0(xS)
| slbdtsldtrb0(xS,sz00) != slbdtsldtrb0(xS,sz00)
| sbrdtbr0(slcrc0) != sz00
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
inference(instantiation,[status(thm)],[103]) ).
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(9,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK2(X0,X1),X1)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l138,plain,
( ~ aSet0(xS)
| ~ aSet0(slcrc0)
| aElementOf0(sK2(xS,slcrc0),slcrc0)
| aSubsetOf0(slcrc0,xS) ),
inference(instantiation,[status(thm)],[9]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(2,plain,
( X0 != slcrc0
| ~ aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l151,plain,
( slcrc0 != slcrc0
| ~ aElementOf0(sK2(xS,slcrc0),slcrc0) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( X0 != slcrc0
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l144,plain,
( slcrc0 != slcrc0
| aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l2,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[7]) ).
fof(m__3435,plain,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
cnf(152,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l5,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[152]) ).
fof(mNATSet,plain,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(43,plain,
aSet0(szNzAzT0),
inference(cnf,[status(esa)],[mNATSet]) ).
cnf(l16,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(l143,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l145,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[152]) ).
cnf(l163,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
fof(mCardEmpty,plain,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
cnf(66,plain,
( ~ aSet0(X0)
| X0 != slcrc0
| sbrdtbr0(X0) = sz00 ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
cnf(l3,plain,
( ~ aSet0(slcrc0)
| slcrc0 != slcrc0
| sbrdtbr0(slcrc0) = sz00 ),
inference(instantiation,[status(thm)],[66]) ).
fof(mZeroNum,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
cnf(45,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf,[status(esa)],[mZeroNum]) ).
cnf(l4,plain,
aElementOf0(sz00,szNzAzT0),
inference(instantiation,[status(thm)],[45]) ).
cnf(l9,plain,
( slcrc0 != slcrc0
| aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l138,l151,l144,l2,l5,l16,l143,l145,l163,l3,l4,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM564+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 12:52:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 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
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.52 % launching worker at depth: 11
% 15.07/2.27 % SZS status Theorem for theBenchmark
% 15.07/2.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------