%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM489+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 : 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 12:28:17 PM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
xn = sdtpldt0(xp,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
xn != sdtpldt0(xp,xr),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(78,plain,
xn != sdtpldt0(xp,xr),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xn != sdtpldt0(xp,xr),
inference(instantiation,[status(thm)],[78]) ).
fof(mDefDiff,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
=> ! [W2] :
( W2 = sdtmndt0(W1,W0)
<=> ( aNaturalNumber0(W2)
& sdtpldt0(W0,W2) = W1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(28,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X2 != sdtmndt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) = X1 ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l2,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| xr != sdtmndt0(xn,xp)
| ~ sdtlseqdt0(xp,xn)
| sdtpldt0(xp,xr) = xn ),
inference(instantiation,[status(thm)],[28]) ).
fof(m__1837,plain,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(70,plain,
aNaturalNumber0(xp),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l14,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(68,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l22,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
fof(m__1870,plain,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
cnf(74,plain,
sdtlseqdt0(xp,xn),
inference(cnf,[status(esa)],[m__1870]) ).
cnf(l6,plain,
sdtlseqdt0(xp,xn),
inference(instantiation,[status(thm)],[74]) ).
fof(m__1883,plain,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
cnf(75,plain,
xr = sdtmndt0(xn,xp),
inference(cnf,[status(esa)],[m__1883]) ).
cnf(l7,plain,
xr = sdtmndt0(xn,xp),
inference(instantiation,[status(thm)],[75]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l14,l22,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM489+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 12:26:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------