%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM425+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 : n031.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 12:28:07 PM UTC 2025
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 95 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 92 ( 40 ~; 34 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(35,plain,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aInteger0(sK1(sdtpldt0(xa,smndt0(xb)),xq))
| sdtasdt0(xq,sK1(sdtpldt0(xa,smndt0(xb)),xq)) != sdtpldt0(xa,smndt0(xb)) ),
inference(instantiation,[status(thm)],[35]) ).
fof(mDivisor,plain,
! [W0] :
( aInteger0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& W1 != sz00
& ? [W2] :
( aInteger0(W2)
& sdtasdt0(W1,W2) = W0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
cnf(25,plain,
( ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| sdtasdt0(X1,sK1(X0,X1)) = X0 ),
inference(cnf,[status(esa)],[mDivisor]) ).
cnf(l2,plain,
( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdtasdt0(xq,sK1(sdtpldt0(xa,smndt0(xb)),xq)) = sdtpldt0(xa,smndt0(xb)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(24,plain,
( ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| aInteger0(sK1(X0,X1)) ),
inference(cnf,[status(esa)],[mDivisor]) ).
cnf(l1,plain,
( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| aInteger0(sK1(sdtpldt0(xa,smndt0(xb)),xq)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(mIntPlus,plain,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
cnf(3,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
cnf(l3,plain,
( ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb))
| aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(instantiation,[status(thm)],[3]) ).
fof(m__704,plain,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__704) ).
cnf(30,plain,
aInteger0(xa),
inference(cnf,[status(esa)],[m__704]) ).
cnf(l4,plain,
aInteger0(xa),
inference(instantiation,[status(thm)],[30]) ).
cnf(l58,plain,
( ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb))
| aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l60,plain,
aInteger0(xa),
inference(instantiation,[status(thm)],[30]) ).
fof(mIntNeg,plain,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
cnf(2,plain,
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
cnf(l5,plain,
( ~ aInteger0(xb)
| aInteger0(smndt0(xb)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(mEquMod,plain,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2)
& W2 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
cnf(27,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| X2 = sz00
| aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ),
inference(cnf,[status(esa)],[mEquMod]) ).
cnf(l45,plain,
( ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ aInteger0(xq)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| xq = sz00
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(31,plain,
aInteger0(xb),
inference(cnf,[status(esa)],[m__704]) ).
cnf(l10,plain,
aInteger0(xb),
inference(instantiation,[status(thm)],[31]) ).
cnf(l81,plain,
( ~ aInteger0(xb)
| aInteger0(smndt0(xb)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l83,plain,
aInteger0(xb),
inference(instantiation,[status(thm)],[31]) ).
cnf(l46,plain,
aInteger0(xb),
inference(instantiation,[status(thm)],[31]) ).
fof(m__724,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__724) ).
cnf(34,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(cnf,[status(esa)],[m__724]) ).
cnf(l89,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(instantiation,[status(thm)],[34]) ).
cnf(l13,plain,
( ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ aInteger0(xq)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| xq = sz00
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l54,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(instantiation,[status(thm)],[34]) ).
cnf(32,plain,
aInteger0(xq),
inference(cnf,[status(esa)],[m__704]) ).
cnf(l51,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[32]) ).
cnf(l15,plain,
aInteger0(xb),
inference(instantiation,[status(thm)],[31]) ).
cnf(l70,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[32]) ).
cnf(l48,plain,
aInteger0(xa),
inference(instantiation,[status(thm)],[30]) ).
cnf(33,plain,
xq != sz00,
inference(cnf,[status(esa)],[m__704]) ).
cnf(l86,plain,
xq != sz00,
inference(instantiation,[status(thm)],[33]) ).
cnf(l14,plain,
aInteger0(xa),
inference(instantiation,[status(thm)],[30]) ).
cnf(l56,plain,
xq != sz00,
inference(instantiation,[status(thm)],[33]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l3,l4,l58,l60,l5,l45,l10,l81,l83,l46,l89,l13,l54,l51,l15,l70,l48,l86,l14,l56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM425+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 11:59:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 4
% 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
% 0.19/0.37 % launching worker at depth: 11
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------