%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM557+1 : 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 : n019.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 12:28:29 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 38 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 10 |; 6 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(132,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(instantiation,[status(thm)],[132]) ).
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/sandbox/benchmark/theBenchmark.p',mDefSel) ).
cnf(103,plain,
( ~ aSet0(X0)
| X1 != slbdtsldtrb0(X0,X2)
| sbrdtbr0(X3) != X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X1) ),
inference(cnf,[status(esa)],[mDefSel]) ).
cnf(l1,plain,
( ~ aSet0(xS)
| slbdtsldtrb0(xS,xk) != slbdtsldtrb0(xS,xk)
| sbrdtbr0(xP) != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xP,xS)
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(instantiation,[status(thm)],[103]) ).
fof(m__2431,plain,
( aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
cnf(131,plain,
sbrdtbr0(xP) = xk,
inference(cnf,[status(esa)],[m__2431]) ).
cnf(l5,plain,
sbrdtbr0(xP) = xk,
inference(instantiation,[status(thm)],[131]) ).
cnf(130,plain,
aSubsetOf0(xP,xS),
inference(cnf,[status(esa)],[m__2431]) ).
cnf(l6,plain,
aSubsetOf0(xP,xS),
inference(instantiation,[status(thm)],[130]) ).
fof(m__2202_02,plain,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
cnf(113,plain,
aSet0(xS),
inference(cnf,[status(esa)],[m__2202_02]) ).
cnf(l2,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[113]) ).
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(l3,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[112]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l6,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM557+1 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 12:50:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 8
% 0.13/0.34 % launching worker at depth: 4
% 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: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------