%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM609+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 12:28:39 PM UTC 2025
% Result : Theorem 171.27s 21.80s
% Output : CNFRefutation 171.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 71 ( 44 unt; 0 def)
% Number of atoms : 145 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 127 ( 53 ~; 50 |; 13 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aSubsetOf0(xP,xQ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(215,plain,
~ aSubsetOf0(xP,xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aSubsetOf0(xP,xQ),
inference(instantiation,[status(thm)],[215]) ).
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(10,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK2(X0,X1),X0)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l1,plain,
( ~ aSet0(xQ)
| ~ aSet0(xP)
| ~ aElementOf0(sK2(xQ,xP),xQ)
| aSubsetOf0(xP,xQ) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l2,plain,
( ~ aSet0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ aSubsetOf0(xQ,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
fof(mDefDiff,plain,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& aElementOf0(W3,W0)
& W3 != W1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(28,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| X2 != sdtmndt0(X1,X0)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l3,plain,
( ~ aElement0(szmzizndt0(xQ))
| ~ aSet0(xQ)
| xP != sdtmndt0(xQ,szmzizndt0(xQ))
| ~ aElementOf0(sK2(xQ,xP),xP)
| aElementOf0(sK2(xQ,xP),xQ) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l41,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xQ,szNzAzT0)
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
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(l139,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(9,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK2(X0,X1),X1)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l335,plain,
( ~ aSet0(xQ)
| ~ aSet0(xP)
| aElementOf0(sK2(xQ,xP),xP)
| aSubsetOf0(xP,xQ) ),
inference(instantiation,[status(thm)],[9]) ).
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(101,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X1)
| aSubsetOf0(X3,X0) ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l10,plain,
( ~ aSet0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| slbdtsldtrb0(xO,xK) != slbdtsldtrb0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),xK)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aElementOf0(xQ,slbdtsldtrb0(xO,xK))
| aSubsetOf0(xQ,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(instantiation,[status(thm)],[101]) ).
fof(m__5164,plain,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(211,plain,
aSet0(xP),
inference(cnf,[status(esa)],[m__5164]) ).
cnf(l336,plain,
aSet0(xP),
inference(instantiation,[status(thm)],[211]) ).
cnf(l357,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xQ,szNzAzT0)
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(212,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf,[status(esa)],[m__5164]) ).
cnf(l42,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(instantiation,[status(thm)],[212]) ).
fof(m__5106,plain,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
cnf(208,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf,[status(esa)],[m__5106]) ).
cnf(l358,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[208]) ).
cnf(l54,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[208]) ).
cnf(l359,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
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(l89,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
cnf(198,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l48,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[198]) ).
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(l37,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[199]) ).
cnf(l31,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[198]) ).
fof(m__5147,plain,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(210,plain,
xp = szmzizndt0(xQ),
inference(cnf,[status(esa)],[m__5147]) ).
cnf(l82,plain,
xp = szmzizndt0(xQ),
inference(instantiation,[status(thm)],[210]) ).
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(l278,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(instantiation,[status(thm)],[205]) ).
cnf(26,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| X2 != sdtmndt0(X1,X0)
| aSet0(X2) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l6,plain,
( ~ aElement0(xp)
| ~ aSet0(xQ)
| sdtmndt0(xQ,xp) != sdtmndt0(xQ,xp)
| aSet0(sdtmndt0(xQ,xp)) ),
inference(instantiation,[status(thm)],[26]) ).
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(l44,plain,
( ~ aSet0(xO)
| ~ aElementOf0(xp,xO)
| aElement0(xp) ),
inference(instantiation,[status(thm)],[0]) ).
fof(m__5182,plain,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
cnf(214,plain,
aElementOf0(xp,xO),
inference(cnf,[status(esa)],[m__5182]) ).
cnf(l45,plain,
aElementOf0(xp,xO),
inference(instantiation,[status(thm)],[214]) ).
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(l204,plain,
aElementOf0(xK,szNzAzT0),
inference(instantiation,[status(thm)],[151]) ).
cnf(l230,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[198]) ).
cnf(l13,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(instantiation,[status(thm)],[212]) ).
cnf(l79,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
cnf(l38,plain,
( ~ aSet0(xO)
| ~ aElementOf0(xp,xO)
| aElement0(xp) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l66,plain,
xp = szmzizndt0(xQ),
inference(instantiation,[status(thm)],[210]) ).
cnf(l69,plain,
aElementOf0(xp,xO),
inference(instantiation,[status(thm)],[214]) ).
cnf(l68,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[199]) ).
cnf(l16,plain,
( ~ aSet0(xO)
| ~ aSubsetOf0(xQ,xO)
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
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(l21,plain,
aSubsetOf0(xQ,xO),
inference(instantiation,[status(thm)],[206]) ).
cnf(l20,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[199]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l41,l139,l335,l10,l336,l357,l42,l358,l54,l359,l89,l48,l37,l31,l82,l278,l6,l44,l45,l204,l230,l13,l79,l38,l66,l69,l68,l16,l21,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM609+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 : 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 13:11:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 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: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.49 % launching worker at depth: 11
% 22.10/3.09 % launching worker at depth: 12
% 171.27/21.80 % SZS status Theorem for theBenchmark
% 171.27/21.80 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------