%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM492+1 : 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 12:28:18 PM UTC 2025
% Result : Theorem 3.91s 0.85s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 29 unt; 0 def)
% Number of atoms : 89 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 28 |; 10 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(83,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(instantiation,[status(thm)],[83]) ).
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(m__2001,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2001) ).
cnf(81,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf,[status(esa)],[m__2001]) ).
cnf(l13,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(instantiation,[status(thm)],[81]) ).
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(l2,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(82,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(cnf,[status(esa)],[m__2001]) ).
cnf(l5,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(instantiation,[status(thm)],[82]) ).
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(l3,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(69,plain,
aNaturalNumber0(xm),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l143,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
fof(mDefDiff,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
=> ! [W2] :
( W2 = sdtmndt0(W1,W0)
<=> ( aNaturalNumber0(W2)
& sdtpldt0(W0,W2) = W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
cnf(27,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X2 != sdtmndt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(X2) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l142,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| xr != sdtmndt0(xn,xp)
| ~ sdtlseqdt0(xp,xn)
| aNaturalNumber0(xr) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(68,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l149,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
fof(mMulComm,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
cnf(9,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf,[status(esa)],[mMulComm]) ).
cnf(l51,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| sdtasdt0(xm,xp) = sdtasdt0(xp,xm) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__1883,plain,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
cnf(75,plain,
xr = sdtmndt0(xn,xp),
inference(cnf,[status(esa)],[m__1883]) ).
cnf(l162,plain,
xr = sdtmndt0(xn,xp),
inference(instantiation,[status(thm)],[75]) ).
fof(m__1951,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1951) ).
cnf(79,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(cnf,[status(esa)],[m__1951]) ).
cnf(l55,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(instantiation,[status(thm)],[79]) ).
cnf(l84,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(m__1870,plain,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
cnf(74,plain,
sdtlseqdt0(xp,xn),
inference(cnf,[status(esa)],[m__1870]) ).
cnf(l157,plain,
sdtlseqdt0(xp,xn),
inference(instantiation,[status(thm)],[74]) ).
cnf(l52,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
cnf(l138,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
cnf(l99,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(l174,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(l148,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l13,l2,l5,l3,l143,l142,l149,l51,l162,l55,l84,l157,l52,l138,l99,l174,l148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM492+1 : 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
% 0.12/0.33 % 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 12:27:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.43 % launching worker at depth: 11
% 3.91/0.85 % SZS status Theorem for theBenchmark
% 3.91/0.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------