%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM458+2 : 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 : 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 12:28:12 PM UTC 2025
% Result : Theorem 0.08s 0.29s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 6 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,W0) = xm )
| sdtlseqdt0(xm,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,W0) = xm )
| sdtlseqdt0(xm,xm) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(31,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aNaturalNumber0(sz00)
| sdtpldt0(xm,sz00) != xm ),
inference(instantiation,[status(thm)],[31]) ).
fof(mSortsC,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(0,plain,
aNaturalNumber0(sz00),
inference(cnf,[status(esa)],[mSortsC]) ).
cnf(l1,plain,
aNaturalNumber0(sz00),
inference(instantiation,[status(thm)],[0]) ).
fof(m_AddZero,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
cnf(7,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf,[status(esa)],[m_AddZero]) ).
cnf(l2,plain,
( ~ aNaturalNumber0(xm)
| sdtpldt0(xm,sz00) = xm ),
inference(instantiation,[status(thm)],[7]) ).
fof(m__718,plain,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__718) ).
cnf(30,plain,
aNaturalNumber0(xm),
inference(cnf,[status(esa)],[m__718]) ).
cnf(l7,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : NUM458+2 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n024.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 12:13:19 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.29 % SZS status Theorem for theBenchmark
% 0.08/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------