%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM464+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 : 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 12:28:13 PM UTC 2025
% Result : Theorem 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 49 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 19 ~; 17 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( xm != sz00
=> ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(sz10,W0) = xm )
| sdtlseqdt0(sz10,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( xm != sz00
=> ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(sz10,W0) = xm )
| sdtlseqdt0(sz10,xm) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(47,plain,
xm != sz00,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xm != sz00,
inference(instantiation,[status(thm)],[47]) ).
fof(mLENTr,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
cnf(44,plain,
( ~ aNaturalNumber0(X0)
| X0 = sz00
| X0 = sz10
| sdtlseqdt0(sz10,X0) ),
inference(cnf,[status(esa)],[mLENTr]) ).
cnf(l1,plain,
( ~ aNaturalNumber0(xm)
| xm = sz00
| xm = sz10
| sdtlseqdt0(sz10,xm) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(49,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l5,plain,
~ sdtlseqdt0(sz10,xm),
inference(instantiation,[status(thm)],[49]) ).
fof(m__987,plain,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
cnf(45,plain,
aNaturalNumber0(xm),
inference(cnf,[status(esa)],[m__987]) ).
cnf(l2,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[45]) ).
fof(mLETotal,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
| ( W1 != W0
& sdtlseqdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
cnf(33,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X1 != X0
| sdtlseqdt0(X0,X1) ),
inference(cnf,[status(esa)],[mLETotal]) ).
cnf(l10,plain,
( ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| xm != sz10
| sdtlseqdt0(sz10,xm) ),
inference(instantiation,[status(thm)],[33]) ).
fof(mSortsC_01,plain,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(1,plain,
aNaturalNumber0(sz10),
inference(cnf,[status(esa)],[mSortsC_01]) ).
cnf(l15,plain,
aNaturalNumber0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(l16,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[45]) ).
cnf(l17,plain,
~ sdtlseqdt0(sz10,xm),
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l2,l10,l15,l16,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM464+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 12:15:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------