%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG123+4 : 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 : n021.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 03:02:58 PM UTC 2025
% Result : Theorem 6.47s 1.16s
% Output : CNFRefutation 6.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 64 ( 12 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 53 ( 9 ~; 8 |; 26 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 10 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xr )
| aElementOf0(xr,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xr )
| aElementOf0(xr,xI) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(194,plain,
~ aElementOf0(xr,xI),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xr,xI),
inference(instantiation,[status(thm)],[194]) ).
fof(m__2718,plain,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2718) ).
cnf(192,plain,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(cnf,[status(esa)],[m__2718]) ).
cnf(l10,plain,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(instantiation,[status(thm)],[192]) ).
fof(mDefIdeal,plain,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(49,plain,
( ~ aIdeal0(X0)
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
cnf(l12,plain,
( ~ aIdeal0(xI)
| ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
| ~ aElementOf0(xb,xI)
| aElementOf0(sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),xI) ),
inference(instantiation,[status(thm)],[49]) ).
fof(m__2699,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xb )
& ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xb )
& aElementOf0(xb,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2699) ).
cnf(191,plain,
aElementOf0(xb,xI),
inference(cnf,[status(esa)],[m__2699]) ).
cnf(l27,plain,
aElementOf0(xb,xI),
inference(instantiation,[status(thm)],[191]) ).
fof(m__2690,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = smndt0(sdtasdt0(xq,xu)) )
& aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2690) ).
cnf(184,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf,[status(esa)],[m__2690]) ).
cnf(l26,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(instantiation,[status(thm)],[184]) ).
fof(m__2174,plain,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xa,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xb,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,xI)
<=> ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
cnf(120,plain,
aIdeal0(xI),
inference(cnf,[status(esa)],[m__2174]) ).
cnf(l21,plain,
aIdeal0(xI),
inference(instantiation,[status(thm)],[120]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l12,l27,l26,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG123+4 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 18:08:19 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: 5
% 0.12/0.34 % launching worker at depth: 4
% 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
% 0.18/0.37 % launching worker at depth: 10
% 6.47/1.16 % SZS status Theorem for theBenchmark
% 6.47/1.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------