%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM558+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.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 12:28:30 PM UTC 2025
% Result : Theorem 3.94s 0.84s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 18 unt; 0 def)
% Number of atoms : 129 ( 18 equ)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 125 ( 31 ~; 29 |; 40 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 22 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xx,xT),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(171,plain,
~ aElementOf0(xx,xT),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xx,xT),
inference(instantiation,[status(thm)],[171]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l1,plain,
( ~ aSet0(xT)
| ~ aElementOf0(xx,xP)
| ~ aSubsetOf0(xP,xT)
| aElementOf0(xx,xT) ),
inference(instantiation,[status(thm)],[8]) ).
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/sandbox2/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(xT)
| slbdtsldtrb0(xT,xk) != slbdtsldtrb0(xT,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(xT,xk))
| aSubsetOf0(xP,xT) ),
inference(instantiation,[status(thm)],[101]) ).
fof(m__2357,plain,
( aSet0(sdtmndt0(xQ,xy))
& ! [W0] :
( aElementOf0(W0,sdtmndt0(xQ,xy))
<=> ( aElement0(W0)
& aElementOf0(W0,xQ)
& W0 != xy ) )
& aSet0(xP)
& ! [W0] :
( aElementOf0(W0,xP)
<=> ( aElement0(W0)
& ( aElementOf0(W0,sdtmndt0(xQ,xy))
| W0 = xx ) ) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).
cnf(165,plain,
( ~ aElement0(X0)
| X0 != xx
| aElementOf0(X0,xP) ),
inference(cnf,[status(esa)],[m__2357]) ).
cnf(l3,plain,
( ~ aElement0(xx)
| xx != xx
| aElementOf0(xx,xP) ),
inference(instantiation,[status(thm)],[165]) ).
fof(m__2202_02,plain,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
cnf(114,plain,
aSet0(xT),
inference(cnf,[status(esa)],[m__2202_02]) ).
cnf(l13,plain,
aSet0(xT),
inference(instantiation,[status(thm)],[114]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(0,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l11,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xS)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
aSet0(xT),
inference(instantiation,[status(thm)],[114]) ).
cnf(113,plain,
aSet0(xS),
inference(cnf,[status(esa)],[m__2202_02]) ).
cnf(l32,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[113]) ).
fof(m__2256,plain,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
cnf(143,plain,
aElementOf0(xx,xS),
inference(cnf,[status(esa)],[m__2256]) ).
cnf(l25,plain,
aElementOf0(xx,xS),
inference(instantiation,[status(thm)],[143]) ).
fof(m__2227,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xT,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xT) )
& aSubsetOf0(W0,xT)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xT) ) )
| aSubsetOf0(W0,xT) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) )
& ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
cnf(132,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) ),
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l120,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
| aElementOf0(xP,slbdtsldtrb0(xT,xk)) ),
inference(instantiation,[status(thm)],[132]) ).
fof(m__2378,plain,
( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk
& aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2378) ).
cnf(170,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf,[status(esa)],[m__2378]) ).
cnf(l155,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(instantiation,[status(thm)],[170]) ).
fof(m__2202,plain,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
cnf(112,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf,[status(esa)],[m__2202]) ).
cnf(l83,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l3,l13,l11,l8,l32,l25,l120,l155,l83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM558+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 12:51:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 1.75/0.57 % launching worker at depth: 11
% 3.94/0.84 % SZS status Theorem for theBenchmark
% 3.94/0.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------