%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM614+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 : n028.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 12:28:40 PM UTC 2025
% Result : Theorem 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 38 ( 11 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 10 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xP,slbdtsldtrb0(xO,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(218,plain,
~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
inference(instantiation,[status(thm)],[218]) ).
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(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(xO)
| slbdtsldtrb0(xO,xk) != slbdtsldtrb0(xO,xk)
| sbrdtbr0(xP) != xk
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xP,xO)
| aElementOf0(xP,slbdtsldtrb0(xO,xk)) ),
inference(instantiation,[status(thm)],[103]) ).
fof(m__4891,plain,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
cnf(197,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l4,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
fof(m__5217,plain,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5217) ).
cnf(217,plain,
sbrdtbr0(xP) = xk,
inference(cnf,[status(esa)],[m__5217]) ).
cnf(l3,plain,
sbrdtbr0(xP) = xk,
inference(instantiation,[status(thm)],[217]) ).
fof(m__5208,plain,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5208) ).
cnf(216,plain,
aSubsetOf0(xP,xO),
inference(cnf,[status(esa)],[m__5208]) ).
cnf(l6,plain,
aSubsetOf0(xP,xO),
inference(instantiation,[status(thm)],[216]) ).
fof(m__3533,plain,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
cnf(163,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf,[status(esa)],[m__3533]) ).
cnf(l5,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[163]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l6,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM614+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
% 0.13/0.34 % Computer : n028.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 13:13:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 9
% 0.19/0.36 % SZS status Theorem for theBenchmark
% 0.19/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------