%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM492+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 : n029.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 12:28:18 PM UTC 2025
% Result : Theorem 2.88s 0.72s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 18 unt; 0 def)
% Number of atoms : 77 ( 15 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 67 ( 21 ~; 20 |; 22 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,W0) )
| doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,W0) )
| doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(114,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(instantiation,[status(thm)],[114]) ).
fof(mDivMin,plain,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( doDivides0(W0,W1)
& doDivides0(W0,sdtpldt0(W1,W2)) )
=> doDivides0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivMin) ).
cnf(55,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| doDivides0(X0,X2) ),
inference(cnf,[status(esa)],[mDivMin]) ).
cnf(l1,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ doDivides0(xp,sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)))
| doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(instantiation,[status(thm)],[55]) ).
fof(mSortsB_02,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(4,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
cnf(l18,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(m__1837,plain,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
cnf(69,plain,
aNaturalNumber0(xm),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l100,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
cnf(70,plain,
aNaturalNumber0(xp),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l2,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
fof(m__1883,plain,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
cnf(97,plain,
aNaturalNumber0(xr),
inference(cnf,[status(esa)],[m__1883]) ).
cnf(l34,plain,
aNaturalNumber0(xr),
inference(instantiation,[status(thm)],[97]) ).
fof(m__1860,plain,
( xp != sz00
& xp != sz10
& ! [W0] :
( ( aNaturalNumber0(W0)
& ( ? [W1] :
( aNaturalNumber0(W1)
& xp = sdtasdt0(W0,W1) )
| doDivides0(W0,xp) ) )
=> ( W0 = sz10
| W0 = xp ) )
& isPrime0(xp)
& ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,W0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
cnf(93,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf,[status(esa)],[m__1860]) ).
cnf(l72,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(instantiation,[status(thm)],[93]) ).
fof(m__2001,plain,
( ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,W0) )
& ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xp,xm) = sdtasdt0(xp,W0) )
& doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2001) ).
cnf(112,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(cnf,[status(esa)],[m__2001]) ).
cnf(l16,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(instantiation,[status(thm)],[112]) ).
fof(m__1951,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1951) ).
cnf(105,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(cnf,[status(esa)],[m__1951]) ).
cnf(l87,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(instantiation,[status(thm)],[105]) ).
cnf(l75,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l90,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
cnf(l89,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l100,l2,l34,l72,l16,l87,l75,l90,l89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM492+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 12:27:04 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: 4
% 0.12/0.34 % launching worker at depth: 5
% 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: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 2.88/0.72 % SZS status Theorem for theBenchmark
% 2.88/0.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------