%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG116+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 : n020.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 03:02:56 PM UTC 2025
% Result : Theorem 195.01s 24.92s
% Output : CNFRefutation 195.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 62 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 25 ~; 22 |; 9 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 3 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(113,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sK23(xa,slsdtgt0(xa),xk))
| ~ aElement0(sK23(xb,slsdtgt0(xb),xl))
| xu != sdtpldt0(sdtasdt0(xa,sK23(xa,slsdtgt0(xa),xk)),sdtasdt0(xb,sK23(xb,slsdtgt0(xb),xl))) ),
inference(instantiation,[status(thm)],[113]) ).
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(l154,plain,
( ~ aElement0(xb)
| slsdtgt0(xb) != slsdtgt0(xb)
| ~ aElementOf0(xl,slsdtgt0(xb))
| sdtasdt0(xb,sK23(xb,slsdtgt0(xb),xl)) = xl ),
inference(instantiation,[status(thm)],[86]) ).
fof(m__2091,plain,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
cnf(95,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l285,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(85,plain,
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| ~ aElementOf0(X2,X1)
| aElement0(sK23(X0,X1,X2)) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
cnf(l3,plain,
( ~ aElement0(xa)
| slsdtgt0(xa) != slsdtgt0(xa)
| ~ aElementOf0(xk,slsdtgt0(xa))
| aElement0(sK23(xa,slsdtgt0(xa),xk)) ),
inference(instantiation,[status(thm)],[85]) ).
cnf(l1,plain,
( ~ aElement0(xb)
| slsdtgt0(xb) != slsdtgt0(xb)
| ~ aElementOf0(xl,slsdtgt0(xb))
| aElement0(sK23(xb,slsdtgt0(xb),xl)) ),
inference(instantiation,[status(thm)],[85]) ).
cnf(l245,plain,
( ~ aElement0(xa)
| slsdtgt0(xa) != slsdtgt0(xa)
| ~ aElementOf0(xk,slsdtgt0(xa))
| sdtasdt0(xa,sK23(xa,slsdtgt0(xa),xk)) = xk ),
inference(instantiation,[status(thm)],[86]) ).
fof(m__2456,plain,
( aElementOf0(xk,slsdtgt0(xa))
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2456) ).
cnf(112,plain,
xu = sdtpldt0(xk,xl),
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l239,plain,
xu = sdtpldt0(xk,xl),
inference(instantiation,[status(thm)],[112]) ).
cnf(l20,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(110,plain,
aElementOf0(xk,slsdtgt0(xa)),
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l256,plain,
aElementOf0(xk,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[110]) ).
cnf(l85,plain,
aElementOf0(xk,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[110]) ).
cnf(94,plain,
aElement0(xa),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l269,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[94]) ).
cnf(l7,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[94]) ).
cnf(111,plain,
aElementOf0(xl,slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l286,plain,
aElementOf0(xl,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[111]) ).
cnf(l519,plain,
aElementOf0(xl,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[111]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l154,l285,l3,l1,l245,l239,l20,l256,l85,l269,l7,l286,l519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG116+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 18:04:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.34 % launching worker at depth: 10
% 0.18/0.38 % launching worker at depth: 11
% 4.45/0.89 % launching worker at depth: 12
% 195.01/24.92 % SZS status Theorem for theBenchmark
% 195.01/24.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------