%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM550+3 : 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 : n020.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 12:28:28 PM UTC 2025
% Result : Theorem 196.48s 24.98s
% Output : CNFRefutation 196.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 23 unt; 0 def)
% Number of atoms : 107 ( 32 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 103 ( 43 ~; 35 |; 15 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
~ ( ~ ? [W0] : aElementOf0(W0,xQ)
& xQ = slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ~ ( ~ ? [W0] : aElementOf0(W0,xQ)
& xQ = slcrc0 ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(152,plain,
~ aElementOf0(X0,xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xk,xQ),
inference(instantiation,[status(thm)],[152]) ).
fof(mDefCons,plain,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( W2 = sdtpldt0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& ( aElementOf0(W3,W0)
| W3 = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
cnf(17,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| X2 != sdtpldt0(X1,X0)
| ~ aElementOf0(X3,X2)
| X3 = X0
| aElementOf0(X3,X1) ),
inference(cnf,[status(esa)],[mDefCons]) ).
cnf(l1,plain,
( ~ aElement0(sbrdtbr0(xQ))
| ~ aSet0(xQ)
| sdtpldt0(xQ,sbrdtbr0(xQ)) != sdtpldt0(xQ,sbrdtbr0(xQ))
| ~ aElementOf0(xk,sdtpldt0(xQ,sbrdtbr0(xQ)))
| xk = sbrdtbr0(xQ)
| aElementOf0(xk,xQ) ),
inference(instantiation,[status(thm)],[17]) ).
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(l17,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| aElement0(xk) ),
inference(instantiation,[status(thm)],[0]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(1,plain,
( X0 != slcrc0
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l35,plain,
( slcrc0 != slcrc0
| aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(19,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X0)
| X1 != X0
| aElementOf0(X1,X3) ),
inference(cnf,[status(esa)],[mDefCons]) ).
cnf(l4,plain,
( ~ aElement0(sbrdtbr0(xQ))
| ~ aElement0(xk)
| ~ aSet0(xQ)
| sdtpldt0(xQ,sbrdtbr0(xQ)) != sdtpldt0(xQ,sbrdtbr0(xQ))
| xk != sbrdtbr0(xQ)
| aElementOf0(xk,sdtpldt0(xQ,sbrdtbr0(xQ))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l8,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| aElement0(xk) ),
inference(instantiation,[status(thm)],[0]) ).
fof(m__2202,plain,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
cnf(112,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf,[status(esa)],[m__2202]) ).
cnf(l34,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
fof(m__2291,plain,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
cnf(151,plain,
sbrdtbr0(xQ) = xk,
inference(cnf,[status(esa)],[m__2291]) ).
cnf(l7,plain,
sbrdtbr0(xQ) = xk,
inference(instantiation,[status(thm)],[151]) ).
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(l44,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
fof(mCardS,plain,
! [W0] :
( aSet0(W0)
=> aElement0(sbrdtbr0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
cnf(62,plain,
( ~ aSet0(X0)
| aElement0(sbrdtbr0(X0)) ),
inference(cnf,[status(esa)],[mCardS]) ).
cnf(l83,plain,
( ~ aSet0(xQ)
| aElement0(sbrdtbr0(xQ)) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l125,plain,
sbrdtbr0(xQ) = xk,
inference(instantiation,[status(thm)],[151]) ).
cnf(149,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__2291]) ).
cnf(l102,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[149]) ).
cnf(l14,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[149]) ).
cnf(l10,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(l24,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(153,plain,
xQ = slcrc0,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l49,plain,
xQ = slcrc0,
inference(instantiation,[status(thm)],[153]) ).
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(l251,plain,
( ~ aSet0(xQ)
| xQ != slcrc0
| sbrdtbr0(xQ) = sz00 ),
inference(instantiation,[status(thm)],[66]) ).
cnf(l260,plain,
xQ = slcrc0,
inference(instantiation,[status(thm)],[153]) ).
fof(m__2270,plain,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
cnf(144,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__2270]) ).
cnf(l259,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[144]) ).
fof(m__2202_02,plain,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
cnf(115,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2202_02]) ).
cnf(l245,plain,
xk != sz00,
inference(instantiation,[status(thm)],[115]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l17,l35,l4,l8,l34,l7,l44,l83,l125,l102,l14,l10,l24,l49,l251,l260,l259,l245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM550+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 12:48:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 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: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.37 % launching worker at depth: 10
% 5.93/1.11 % launching worker at depth: 11
% 196.48/24.98 % SZS status Theorem for theBenchmark
% 196.48/24.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------