%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM469+2 : 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 : n026.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 12:28:14 PM UTC 2025
% Result : Theorem 64.05s 8.35s
% Output : CNFRefutation 64.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 20 unt; 0 def)
% Number of atoms : 88 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 26 ~; 24 |; 17 &)
% ( 0 <=>; 5 =>; 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,W0) )
| doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,W0) )
| doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(68,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,xn) != sdtasdt0(xl,X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aNaturalNumber0(sdtpldt0(sK6,sK5))
| sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sK6,sK5)) ),
inference(instantiation,[status(thm)],[68]) ).
fof(mAMDistr,plain,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
cnf(15,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
cnf(l10,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| sdtasdt0(xl,sdtpldt0(sK6,sK5)) = sdtpldt0(sdtasdt0(xl,sK6),sdtasdt0(xl,sK5)) ),
inference(instantiation,[status(thm)],[15]) ).
fof(m__1240,plain,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240) ).
cnf(54,plain,
aNaturalNumber0(xl),
inference(cnf,[status(esa)],[m__1240]) ).
cnf(l80,plain,
aNaturalNumber0(xl),
inference(instantiation,[status(thm)],[54]) ).
fof(mAddComm,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
cnf(5,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf,[status(esa)],[mAddComm]) ).
cnf(l18,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sdtpldt0(xm,xn) = sdtpldt0(xn,xm) ),
inference(instantiation,[status(thm)],[5]) ).
fof(m__1240_04,plain,
( ? [W0] :
( aNaturalNumber0(W0)
& xm = sdtasdt0(xl,W0) )
& doDivides0(xl,xm)
& ? [W0] :
( aNaturalNumber0(W0)
& xn = sdtasdt0(xl,W0) )
& doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240_04) ).
cnf(61,plain,
xn = sdtasdt0(xl,sK6),
inference(cnf,[status(esa)],[m__1240_04]) ).
cnf(l47,plain,
xn = sdtasdt0(xl,sK6),
inference(instantiation,[status(thm)],[61]) ).
cnf(60,plain,
aNaturalNumber0(sK6),
inference(cnf,[status(esa)],[m__1240_04]) ).
cnf(l95,plain,
aNaturalNumber0(sK6),
inference(instantiation,[status(thm)],[60]) ).
cnf(56,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1240]) ).
cnf(l25,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[56]) ).
cnf(55,plain,
aNaturalNumber0(xm),
inference(cnf,[status(esa)],[m__1240]) ).
cnf(l65,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[55]) ).
cnf(58,plain,
xm = sdtasdt0(xl,sK5),
inference(cnf,[status(esa)],[m__1240_04]) ).
cnf(l34,plain,
xm = sdtasdt0(xl,sK5),
inference(instantiation,[status(thm)],[58]) ).
cnf(57,plain,
aNaturalNumber0(sK5),
inference(cnf,[status(esa)],[m__1240_04]) ).
cnf(l97,plain,
aNaturalNumber0(sK5),
inference(instantiation,[status(thm)],[57]) ).
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(l2,plain,
( ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sK5,sz10))
| aNaturalNumber0(sdtpldt0(sK6,sdtasdt0(sK5,sz10))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l446,plain,
aNaturalNumber0(sK6),
inference(instantiation,[status(thm)],[60]) ).
fof(m_MulUnit,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
cnf(11,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
cnf(l104,plain,
( ~ aNaturalNumber0(sK5)
| sdtasdt0(sK5,sz10) = sK5 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l147,plain,
aNaturalNumber0(sK5),
inference(instantiation,[status(thm)],[57]) ).
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(l444,plain,
( ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| aNaturalNumber0(sdtasdt0(sK5,sz10)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l487,plain,
aNaturalNumber0(sK5),
inference(instantiation,[status(thm)],[57]) ).
fof(mSortsC_01,plain,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(1,plain,
aNaturalNumber0(sz10),
inference(cnf,[status(esa)],[mSortsC_01]) ).
cnf(l486,plain,
aNaturalNumber0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l80,l18,l47,l95,l25,l65,l34,l97,l2,l446,l104,l147,l444,l487,l486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM469+2 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n026.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 12:17:34 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.13/0.29 % launching worker at depth: 2
% 0.13/0.29 % launching worker at depth: 3
% 0.13/0.29 % launching worker at depth: 6
% 0.13/0.29 % launching worker at depth: 4
% 0.13/0.29 % launching worker at depth: 7
% 0.13/0.29 % launching worker at depth: 1
% 0.13/0.29 % launching worker at depth: 5
% 0.13/0.29 % launching worker at depth: 8
% 0.13/0.30 % launching worker at depth: 9
% 0.13/0.30 % launching worker at depth: 10
% 0.13/0.45 % launching worker at depth: 11
% 64.05/8.35 % SZS status Theorem for theBenchmark
% 64.05/8.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------