%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM472+2 : 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 : n024.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 12:28:15 PM UTC 2025
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 5 ~; 4 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,W0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,W0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(71,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aNaturalNumber0(xn)
| sdtpldt0(xm,xn) != sdtpldt0(xm,xn) ),
inference(instantiation,[status(thm)],[71]) ).
fof(m__1324,plain,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
cnf(57,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1324]) ).
cnf(l1,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[57]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM472+2 : 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
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 21 12:19:04 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % launching worker at depth: 1
% 0.11/0.34 % launching worker at depth: 2
% 0.11/0.34 % launching worker at depth: 6
% 0.11/0.34 % launching worker at depth: 4
% 0.11/0.34 % launching worker at depth: 5
% 0.11/0.34 % launching worker at depth: 3
% 0.11/0.34 % launching worker at depth: 7
% 0.11/0.34 % launching worker at depth: 8
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------