%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM427+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 : 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 12:28:07 PM UTC 2025
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 26 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 7 ~; 8 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(41,plain,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aInteger0(smndt0(xn))
| sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)) ),
inference(instantiation,[status(thm)],[41]) ).
fof(m__767,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__767) ).
cnf(40,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(cnf,[status(esa)],[m__767]) ).
cnf(l3,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(instantiation,[status(thm)],[40]) ).
fof(mIntNeg,plain,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
cnf(2,plain,
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
cnf(l1,plain,
( ~ aInteger0(xn)
| aInteger0(smndt0(xn)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(m__747,plain,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__747) ).
cnf(38,plain,
aInteger0(xn),
inference(cnf,[status(esa)],[m__747]) ).
cnf(l4,plain,
aInteger0(xn),
inference(instantiation,[status(thm)],[38]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l1,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM427+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 21 12:00:19 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % launching worker at depth: 5
% 0.11/0.34 % launching worker at depth: 2
% 0.11/0.34 % launching worker at depth: 1
% 0.11/0.34 % launching worker at depth: 4
% 0.11/0.34 % launching worker at depth: 3
% 0.11/0.34 % launching worker at depth: 6
% 0.11/0.34 % launching worker at depth: 7
% 0.11/0.34 % launching worker at depth: 8
% 0.11/0.34 % launching worker at depth: 9
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------