%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM484+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 : n020.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 12:28:16 PM UTC 2025
% Result : Theorem 5.33s 1.02s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 31 unt; 0 def)
% Number of atoms : 109 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 108 ( 49 ~; 46 |; 9 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aNaturalNumber0(W0)
& doDivides0(W0,xk)
& isPrime0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aNaturalNumber0(W0)
& doDivides0(W0,xk)
& isPrime0(W0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(73,plain,
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ isPrime0(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aNaturalNumber0(xk)
| ~ doDivides0(xk,xk)
| ~ isPrime0(xk) ),
inference(instantiation,[status(thm)],[73]) ).
fof(m__1737,plain,
~ ~ isPrime0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1737) ).
cnf(72,plain,
isPrime0(xk),
inference(cnf,[status(esa)],[m__1737]) ).
cnf(l36,plain,
isPrime0(xk),
inference(instantiation,[status(thm)],[72]) ).
fof(m_AddZero,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
cnf(8,plain,
( ~ aNaturalNumber0(X0)
| X0 = sdtpldt0(sz00,X0) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
cnf(l81,plain,
( ~ aNaturalNumber0(xk)
| xk = sdtpldt0(sz00,xk) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__1716,plain,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716) ).
cnf(65,plain,
aNaturalNumber0(xk),
inference(cnf,[status(esa)],[m__1716]) ).
cnf(l149,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(l2,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
fof(mDefPrime,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( isPrime0(W0)
<=> ( W0 != sz00
& W0 != sz10
& ! [W1] :
( ( aNaturalNumber0(W1)
& doDivides0(W1,W0) )
=> ( W1 = sz10
| W1 = W0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
cnf(62,plain,
( ~ aNaturalNumber0(X0)
| X0 = sz00
| X0 = sz10
| doDivides0(sK5(X0),X0)
| isPrime0(X0) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
cnf(l50,plain,
( ~ aNaturalNumber0(xk)
| xk = sz00
| xk = sz10
| doDivides0(sK5(xk),xk)
| isPrime0(xk) ),
inference(instantiation,[status(thm)],[62]) ).
fof(m__1725,plain,
~ isPrime0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1725) ).
cnf(71,plain,
~ isPrime0(xk),
inference(cnf,[status(esa)],[m__1725]) ).
cnf(l349,plain,
~ isPrime0(xk),
inference(instantiation,[status(thm)],[71]) ).
cnf(60,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0)
| ~ isPrime0(X0)
| X1 = X0
| X1 = sz10 ),
inference(cnf,[status(esa)],[mDefPrime]) ).
cnf(l3,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK5(xk))
| ~ doDivides0(sK5(xk),xk)
| ~ isPrime0(xk)
| sK5(xk) = xk
| sK5(xk) = sz10 ),
inference(instantiation,[status(thm)],[60]) ).
fof(m__1716_04,plain,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716_04) ).
cnf(70,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__1716_04]) ).
cnf(l51,plain,
xk != sz10,
inference(instantiation,[status(thm)],[70]) ).
cnf(69,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__1716_04]) ).
cnf(l85,plain,
xk != sz00,
inference(instantiation,[status(thm)],[69]) ).
cnf(l62,plain,
( ~ aNaturalNumber0(xk)
| xk = sdtpldt0(sz00,xk) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l94,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(61,plain,
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK5(X0))
| X0 = sz00
| X0 = sz10
| isPrime0(X0) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
cnf(l275,plain,
( ~ aNaturalNumber0(xk)
| aNaturalNumber0(sK5(xk))
| xk = sz00
| xk = sz10
| isPrime0(xk) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l390,plain,
xk != sz10,
inference(instantiation,[status(thm)],[70]) ).
cnf(l276,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(l277,plain,
( ~ aNaturalNumber0(xk)
| xk = sz00
| xk = sz10
| doDivides0(sK5(xk),xk)
| isPrime0(xk) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l287,plain,
xk != sz10,
inference(instantiation,[status(thm)],[70]) ).
cnf(l286,plain,
xk != sz00,
inference(instantiation,[status(thm)],[69]) ).
cnf(l302,plain,
~ isPrime0(xk),
inference(instantiation,[status(thm)],[71]) ).
cnf(l273,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(l348,plain,
~ isPrime0(xk),
inference(instantiation,[status(thm)],[71]) ).
cnf(l89,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(l282,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(l271,plain,
isPrime0(xk),
inference(instantiation,[status(thm)],[72]) ).
cnf(l341,plain,
xk != sz00,
inference(instantiation,[status(thm)],[69]) ).
cnf(63,plain,
( ~ aNaturalNumber0(X0)
| sK5(X0) != sz10
| X0 = sz00
| X0 = sz10
| isPrime0(X0) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
cnf(l318,plain,
( ~ aNaturalNumber0(xk)
| sK5(xk) != sz10
| xk = sz00
| xk = sz10
| isPrime0(xk) ),
inference(instantiation,[status(thm)],[63]) ).
cnf(l455,plain,
xk != sz00,
inference(instantiation,[status(thm)],[69]) ).
cnf(l532,plain,
aNaturalNumber0(xk),
inference(instantiation,[status(thm)],[65]) ).
cnf(l534,plain,
~ isPrime0(xk),
inference(instantiation,[status(thm)],[71]) ).
cnf(l460,plain,
xk != sz10,
inference(instantiation,[status(thm)],[70]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l36,l81,l149,l2,l50,l349,l3,l51,l85,l62,l94,l275,l390,l276,l277,l287,l286,l302,l273,l348,l89,l282,l271,l341,l318,l455,l532,l534,l460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM484+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 : n020.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 12:23:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 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: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 1.59/0.54 % launching worker at depth: 11
% 5.33/1.02 % SZS status Theorem for theBenchmark
% 5.33/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------