%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG102+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 : n018.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 03:02:54 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 41 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 14 |; 6 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xy ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(99,plain,
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != xy ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sK23(xc,slsdtgt0(xc),xy))
| sdtasdt0(xc,sK23(xc,slsdtgt0(xc),xy)) != xy ),
inference(instantiation,[status(thm)],[99]) ).
fof(mDefPrIdeal,plain,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( W1 = slsdtgt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
cnf(86,plain,
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| ~ aElementOf0(X2,X1)
| sdtasdt0(X0,sK23(X0,X1,X2)) = X2 ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
cnf(l3,plain,
( ~ aElement0(xc)
| slsdtgt0(xc) != slsdtgt0(xc)
| ~ aElementOf0(xy,slsdtgt0(xc))
| sdtasdt0(xc,sK23(xc,slsdtgt0(xc),xy)) = xy ),
inference(instantiation,[status(thm)],[86]) ).
fof(m__1905,plain,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
cnf(93,plain,
aElement0(xc),
inference(cnf,[status(esa)],[m__1905]) ).
cnf(l4,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[93]) ).
cnf(85,plain,
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| ~ aElementOf0(X2,X1)
| aElement0(sK23(X0,X1,X2)) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
cnf(l1,plain,
( ~ aElement0(xc)
| slsdtgt0(xc) != slsdtgt0(xc)
| ~ aElementOf0(xy,slsdtgt0(xc))
| aElement0(sK23(xc,slsdtgt0(xc),xy)) ),
inference(instantiation,[status(thm)],[85]) ).
fof(m__1933,plain,
( aElementOf0(xx,slsdtgt0(xc))
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
cnf(95,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf,[status(esa)],[m__1933]) ).
cnf(l8,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(instantiation,[status(thm)],[95]) ).
cnf(l10,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(instantiation,[status(thm)],[95]) ).
cnf(l7,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l4,l1,l8,l10,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG102+1 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 17:59:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------