%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM548+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 : n026.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 9.01s 1.46s
% Output : CNFRefutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 81 ( 13 equ)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 74 ( 15 ~; 14 |; 28 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
isFinite0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ isFinite0(xQ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(149,plain,
~ isFinite0(xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ isFinite0(xQ),
inference(instantiation,[status(thm)],[149]) ).
fof(mCardNum,plain,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
cnf(63,plain,
( ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0) ),
inference(cnf,[status(esa)],[mCardNum]) ).
cnf(l1,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0)
| isFinite0(xQ) ),
inference(instantiation,[status(thm)],[63]) ).
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/sandbox/benchmark/theBenchmark.p',m__2227) ).
cnf(117,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aSet0(X0) ),
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l2,plain,
( ~ aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(140,plain,
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,xS)
| aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l12,plain,
( sbrdtbr0(xQ) != xk
| ~ aSubsetOf0(xQ,xS)
| aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(instantiation,[status(thm)],[140]) ).
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(146,plain,
aSubsetOf0(xQ,xS),
inference(cnf,[status(esa)],[m__2270]) ).
cnf(l32,plain,
aSubsetOf0(xQ,xS),
inference(instantiation,[status(thm)],[146]) ).
cnf(147,plain,
sbrdtbr0(xQ) = xk,
inference(cnf,[status(esa)],[m__2270]) ).
cnf(l17,plain,
sbrdtbr0(xQ) = xk,
inference(instantiation,[status(thm)],[147]) ).
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(l58,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(l18,plain,
sbrdtbr0(xQ) = xk,
inference(instantiation,[status(thm)],[147]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l12,l32,l17,l58,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM548+3 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n026.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 12:47:33 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.10/0.29 % launching worker at depth: 11
% 9.01/1.46 % SZS status Theorem for theBenchmark
% 9.01/1.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------