%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM547+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 : 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 12:28:27 PM UTC 2025
% Result : Theorem 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 41 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 10 |; 7 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn 5 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(119,plain,
~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(sK1(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk)),
inference(instantiation,[status(thm)],[119]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
cnf(3,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK1(X0),X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l1,plain,
( ~ aSet0(slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0
| aElementOf0(sK1(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk)) ),
inference(instantiation,[status(thm)],[3]) ).
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(100,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| ~ aElementOf0(X2,szNzAzT0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l2,plain,
( ~ aSet0(xS)
| slbdtsldtrb0(xS,xk) != slbdtsldtrb0(xS,xk)
| ~ aElementOf0(xk,szNzAzT0)
| aSet0(slbdtsldtrb0(xS,xk)) ),
inference(instantiation,[status(thm)],[100]) ).
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(l5,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
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(l4,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[113]) ).
fof(m__2227,plain,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
cnf(117,plain,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(cnf,[status(esa)],[m__2227]) ).
cnf(l13,plain,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(instantiation,[status(thm)],[117]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l4,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM547+1 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 12:47:19 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.14/0.46 % SZS status Theorem for theBenchmark
% 0.14/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------