%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM505+3 : 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 : n022.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 12:28:20 PM UTC 2025
% Result : Theorem 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 55 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 55 ( 21 ~; 19 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xp,W0) = xk )
| sdtlseqdt0(xp,xk) )
=> ( xk != xp
& ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xk,W0) = xp )
| sdtlseqdt0(xk,xp) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xp,W0) = xk )
| sdtlseqdt0(xp,xk) )
=> ( xk != xp
& ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xk,W0) = xp )
| sdtlseqdt0(xk,xp) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(130,plain,
( ~ sdtlseqdt0(xk,xp)
| xk = xp ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ sdtlseqdt0(xk,xp)
| xk = xp ),
inference(instantiation,[status(thm)],[130]) ).
fof(mLETotal,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
| ( W1 != W0
& sdtlseqdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
cnf(34,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf,[status(esa)],[mLETotal]) ).
cnf(l1,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sdtlseqdt0(xp,xk)
| sdtlseqdt0(xk,xp) ),
inference(instantiation,[status(thm)],[34]) ).
fof(m__2306,plain,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
cnf(106,plain,
aNaturalNumber0(xk),
inference(cnf,[status(esa)],[m__2306]) ).
cnf(l2,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[106]) ).
cnf(128,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l4,plain,
~ sdtlseqdt0(xp,xk),
inference(instantiation,[status(thm)],[128]) ).
fof(m__1837,plain,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
cnf(70,plain,
aNaturalNumber0(xp),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l7,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(33,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X1 != X0
| sdtlseqdt0(X0,X1) ),
inference(cnf,[status(esa)],[mLETotal]) ).
cnf(l3,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| xk != xp
| sdtlseqdt0(xp,xk) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(l11,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[106]) ).
cnf(l8,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(l9,plain,
~ sdtlseqdt0(xp,xk),
inference(instantiation,[status(thm)],[128]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l7,l3,l11,l8,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : NUM505+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 12:31:49 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: 4
% 0.12/0.34 % launching worker at depth: 8
% 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: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------