%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM508+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 : 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 12:28:21 PM UTC 2025
% Result : Theorem 131.04s 16.99s
% Output : CNFRefutation 131.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 26 unt; 0 def)
% Number of atoms : 97 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 90 ( 37 ~; 35 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(94,plain,
~ doDivides0(xr,xn),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ doDivides0(xr,xn),
inference(instantiation,[status(thm)],[94]) ).
fof(m__1799,plain,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( isPrime0(W2)
& doDivides0(W2,sdtasdt0(W0,W1)) )
=> ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(W2,W0)
| doDivides0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
cnf(71,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| doDivides0(X2,X0)
| doDivides0(X2,X1) ),
inference(cnf,[status(esa)],[m__1799]) ).
cnf(l1,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ isPrime0(xr)
| doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(instantiation,[status(thm)],[71]) ).
fof(m__2342,plain,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
cnf(87,plain,
isPrime0(xr),
inference(cnf,[status(esa)],[m__2342]) ).
cnf(l5,plain,
isPrime0(xr),
inference(instantiation,[status(thm)],[87]) ).
cnf(95,plain,
~ doDivides0(xr,xm),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1019,plain,
~ doDivides0(xr,xm),
inference(instantiation,[status(thm)],[95]) ).
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(l23,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
cnf(85,plain,
aNaturalNumber0(xr),
inference(cnf,[status(esa)],[m__2342]) ).
cnf(l3,plain,
aNaturalNumber0(xr),
inference(instantiation,[status(thm)],[85]) ).
cnf(68,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l2,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
fof(mIH_03,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( W0 != W1
& sdtlseqdt0(W0,W1) )
=> iLess0(W0,W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
cnf(46,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf,[status(esa)],[mIH_03]) ).
cnf(l7,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[46]) ).
fof(mSortsB,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
cnf(3,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSortsB]) ).
cnf(l22,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[3]) ).
fof(m__2478,plain,
( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2478) ).
cnf(93,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf,[status(esa)],[m__2478]) ).
cnf(l80,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(instantiation,[status(thm)],[93]) ).
cnf(l64,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l331,plain,
aNaturalNumber0(xr),
inference(instantiation,[status(thm)],[85]) ).
cnf(70,plain,
aNaturalNumber0(xp),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l156,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(l92,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l96,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
cnf(l30,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l351,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
fof(m__2362,plain,
( sdtlseqdt0(xr,xk)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
cnf(89,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf,[status(esa)],[m__2362]) ).
cnf(l10,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(instantiation,[status(thm)],[89]) ).
cnf(l482,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[69]) ).
cnf(l465,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
cnf(92,plain,
sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(cnf,[status(esa)],[m__2478]) ).
cnf(l564,plain,
sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l1019,l23,l3,l2,l7,l22,l80,l64,l331,l156,l92,l96,l30,l351,l10,l482,l465,l564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM508+1 : 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 : n021.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 12:32:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 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: 2
% 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: 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
% 0.20/0.45 % launching worker at depth: 11
% 14.13/2.17 % launching worker at depth: 12
% 131.04/16.99 % SZS status Theorem for theBenchmark
% 131.04/16.99 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------