%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM487+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 12:28:17 PM UTC 2025
% Result : Theorem 204.07s 25.96s
% Output : CNFRefutation 204.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 18 unt; 0 def)
% Number of atoms : 82 ( 35 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 73 ( 25 ~; 23 |; 20 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( xr != xn
& ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xr,W0) = xn )
| sdtlseqdt0(xr,xn) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( xr != xn
& ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xr,W0) = xn )
| sdtlseqdt0(xr,xn) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(100,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(xr,X0) != xn
| xr = xn ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aNaturalNumber0(xp)
| sdtpldt0(xr,xp) != xn
| xr = xn ),
inference(instantiation,[status(thm)],[100]) ).
fof(m_AddZero,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
cnf(8,plain,
( ~ aNaturalNumber0(X0)
| X0 = sdtpldt0(sz00,X0) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
cnf(l105,plain,
( ~ aNaturalNumber0(xn)
| xn = sdtpldt0(sz00,xn) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__1837,plain,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(68,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l107,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
fof(mAddCanc,plain,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
=> W1 = W2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
cnf(18,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf,[status(esa)],[mAddCanc]) ).
cnf(l106,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| sdtpldt0(xp,xn) != sdtpldt0(sz00,xn)
| xp = sz00 ),
inference(instantiation,[status(thm)],[18]) ).
fof(mSortsC,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(0,plain,
aNaturalNumber0(sz00),
inference(cnf,[status(esa)],[mSortsC]) ).
cnf(l275,plain,
aNaturalNumber0(sz00),
inference(instantiation,[status(thm)],[0]) ).
cnf(70,plain,
aNaturalNumber0(xp),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l13,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(l145,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[68]) ).
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/sandbox/benchmark/theBenchmark.p',m__1860) ).
cnf(86,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
cnf(l435,plain,
xp != sz00,
inference(instantiation,[status(thm)],[86]) ).
cnf(l269,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/sandbox/benchmark/theBenchmark.p',m__1883) ).
cnf(98,plain,
sdtpldt0(xp,xr) = xn,
inference(cnf,[status(esa)],[m__1883]) ).
cnf(l395,plain,
sdtpldt0(xp,xr) = xn,
inference(instantiation,[status(thm)],[98]) ).
fof(mAddComm,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
cnf(5,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf,[status(esa)],[mAddComm]) ).
cnf(l89,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| sdtpldt0(xp,xr) = sdtpldt0(xr,xp) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l258,plain,
sdtpldt0(xp,xr) = xn,
inference(instantiation,[status(thm)],[98]) ).
cnf(97,plain,
aNaturalNumber0(xr),
inference(cnf,[status(esa)],[m__1883]) ).
cnf(l117,plain,
aNaturalNumber0(xr),
inference(instantiation,[status(thm)],[97]) ).
cnf(l450,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[70]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l105,l107,l106,l275,l13,l145,l435,l269,l395,l89,l258,l117,l450]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM487+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 12:25:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 5
% 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: 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
% 0.12/0.36 % launching worker at depth: 10
% 5.47/1.08 % launching worker at depth: 11
% 204.07/25.96 % SZS status Theorem for theBenchmark
% 204.07/25.96 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------