%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM423+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 : n029.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 12:28:06 PM UTC 2025
% Result : Theorem 2.09s 0.57s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 37 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 10 ~; 10 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(32,plain,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aInteger0(sz00)
| sdtasdt0(xq,sz00) != sdtpldt0(xa,smndt0(xa)) ),
inference(instantiation,[status(thm)],[32]) ).
fof(mMulZero,plain,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
cnf(17,plain,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf,[status(esa)],[mMulZero]) ).
cnf(l9,plain,
( ~ aInteger0(xq)
| sdtasdt0(xq,sz00) = sz00 ),
inference(instantiation,[status(thm)],[17]) ).
fof(m__671,plain,
( aInteger0(xa)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__671) ).
cnf(30,plain,
aInteger0(xq),
inference(cnf,[status(esa)],[m__671]) ).
cnf(l22,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[30]) ).
fof(mIntZero,plain,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
cnf(0,plain,
aInteger0(sz00),
inference(cnf,[status(esa)],[mIntZero]) ).
cnf(l1,plain,
aInteger0(sz00),
inference(instantiation,[status(thm)],[0]) ).
fof(mAddNeg,plain,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
cnf(9,plain,
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X0)) = sz00 ),
inference(cnf,[status(esa)],[mAddNeg]) ).
cnf(l7,plain,
( ~ aInteger0(xa)
| sdtpldt0(xa,smndt0(xa)) = sz00 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(29,plain,
aInteger0(xa),
inference(cnf,[status(esa)],[m__671]) ).
cnf(l23,plain,
aInteger0(xa),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l9,l22,l1,l7,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM423+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Jul 21 11:58:49 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % launching worker at depth: 1
% 0.09/0.31 % launching worker at depth: 4
% 0.09/0.31 % launching worker at depth: 3
% 0.09/0.31 % launching worker at depth: 2
% 0.09/0.31 % launching worker at depth: 7
% 0.09/0.31 % launching worker at depth: 8
% 0.09/0.31 % launching worker at depth: 5
% 0.09/0.31 % launching worker at depth: 6
% 0.09/0.31 % launching worker at depth: 9
% 0.09/0.31 % launching worker at depth: 10
% 0.15/0.32 % launching worker at depth: 11
% 2.09/0.57 % SZS status Theorem for theBenchmark
% 2.09/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------