%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM548+1 : 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 : n021.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 12:28:27 PM UTC 2025
% Result : Theorem 26.66s 3.73s
% Output : CNFRefutation 26.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 68 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 66 ( 28 ~; 24 |; 6 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 19 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
isFinite0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ isFinite0(xQ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(120,plain,
~ isFinite0(xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ isFinite0(xQ),
inference(instantiation,[status(thm)],[120]) ).
fof(mCardNum,plain,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox2/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(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(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l2,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(xQ,xS)
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
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(102,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X1)
| sbrdtbr0(X3) = X2 ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l23,plain,
( ~ aSet0(xS)
| slbdtsldtrb0(xS,xk) != slbdtsldtrb0(xS,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xQ) = xk ),
inference(instantiation,[status(thm)],[102]) ).
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(l91,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(101,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,X1)
| aSubsetOf0(X3,X0) ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l208,plain,
( ~ aSet0(xS)
| slbdtsldtrb0(xS,xk) != slbdtsldtrb0(xS,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| aSubsetOf0(xQ,xS) ),
inference(instantiation,[status(thm)],[101]) ).
fof(m__2270,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
cnf(119,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf,[status(esa)],[m__2270]) ).
cnf(l267,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(instantiation,[status(thm)],[119]) ).
cnf(l24,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(instantiation,[status(thm)],[119]) ).
fof(m__2202_02,plain,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
cnf(113,plain,
aSet0(xS),
inference(cnf,[status(esa)],[m__2202_02]) ).
cnf(l33,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[113]) ).
cnf(l273,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[113]) ).
cnf(l272,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(l203,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[113]) ).
cnf(l185,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l23,l91,l208,l267,l24,l33,l273,l272,l203,l185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM548+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.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 12:47:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 8
% 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: 1
% 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: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 3.99/0.84 % launching worker at depth: 12
% 26.66/3.73 % SZS status Theorem for theBenchmark
% 26.66/3.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------