%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM607+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 : 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 12:28:38 PM UTC 2025
% Result : Theorem 28.58s 3.97s
% Output : CNFRefutation 28.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 33 unt; 0 def)
% Number of atoms : 120 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 114 ( 48 ~; 44 |; 14 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xQ,szDzozmdt0(xc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(209,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(instantiation,[status(thm)],[209]) ).
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)
| szDzozmdt0(xc) != slbdtsldtrb0(xS,xK)
| sbrdtbr0(xQ) != xK
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(instantiation,[status(thm)],[103]) ).
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(155,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf,[status(esa)],[m__3453]) ).
cnf(l18,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(instantiation,[status(thm)],[155]) ).
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(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l13,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[7]) ).
fof(m__3418,plain,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
cnf(151,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf,[status(esa)],[m__3418]) ).
cnf(l11,plain,
aElementOf0(xK,szNzAzT0),
inference(instantiation,[status(thm)],[151]) ).
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(l65,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(l29,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(102,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X1)
| sbrdtbr0(X3) = X2 ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l2,plain,
( ~ aSet0(xO)
| slbdtsldtrb0(xO,xK) != slbdtsldtrb0(xO,xK)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(xQ,slbdtsldtrb0(xO,xK))
| sbrdtbr0(xQ) = xK ),
inference(instantiation,[status(thm)],[102]) ).
fof(m__4908,plain,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
cnf(199,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4908]) ).
cnf(l4,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[199]) ).
fof(m__5078,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(205,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l130,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(instantiation,[status(thm)],[205]) ).
fof(mSubTrans,plain,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
cnf(14,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2) ),
inference(cnf,[status(esa)],[mSubTrans]) ).
cnf(l3,plain,
( ~ aSet0(xQ)
| ~ aSet0(xO)
| ~ aSet0(xS)
| ~ aSubsetOf0(xQ,xO)
| ~ aSubsetOf0(xO,xS)
| aSubsetOf0(xQ,xS) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l5,plain,
( ~ aSet0(xO)
| ~ aSubsetOf0(xQ,xO)
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
fof(m__4891,plain,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
cnf(197,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l10,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
cnf(l24,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l52,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[152]) ).
fof(m__5093,plain,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
cnf(206,plain,
aSubsetOf0(xQ,xO),
inference(cnf,[status(esa)],[m__5093]) ).
cnf(l14,plain,
aSubsetOf0(xQ,xO),
inference(instantiation,[status(thm)],[206]) ).
cnf(l53,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
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(l7,plain,
aSubsetOf0(xO,xS),
inference(instantiation,[status(thm)],[204]) ).
cnf(l69,plain,
aElementOf0(xK,szNzAzT0),
inference(instantiation,[status(thm)],[151]) ).
cnf(101,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X1)
| aSubsetOf0(X3,X0) ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l15,plain,
( ~ aSet0(xO)
| slbdtsldtrb0(xO,xK) != slbdtsldtrb0(xO,xK)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(xQ,slbdtsldtrb0(xO,xK))
| aSubsetOf0(xQ,xO) ),
inference(instantiation,[status(thm)],[101]) ).
cnf(l22,plain,
aElementOf0(xK,szNzAzT0),
inference(instantiation,[status(thm)],[151]) ).
cnf(l17,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(instantiation,[status(thm)],[205]) ).
cnf(l25,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[199]) ).
cnf(l16,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l13,l11,l65,l29,l2,l4,l130,l3,l5,l10,l24,l52,l14,l53,l7,l69,l15,l22,l17,l25,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM607+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 13:10:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 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: 7
% 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: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.18/0.54 % launching worker at depth: 11
% 28.58/3.97 % SZS status Theorem for theBenchmark
% 28.58/3.97 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------