%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM456+6 : 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 12:28:12 PM UTC 2025
% Result : Theorem 25.12s 3.56s
% Output : CNFRefutation 25.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 86 ( 17 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 83 ( 20 ~; 19 |; 33 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2079,plain,
( aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( W0 = sz10
| W0 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
cnf(140,plain,
aSet0(stldt0(sbsmnsldt0(xS))),
inference(cnf,[status(esa)],[m__2079]) ).
cnf(l0,plain,
aSet0(stldt0(sbsmnsldt0(xS))),
inference(instantiation,[status(thm)],[140]) ).
fof(mSubset,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubset) ).
cnf(39,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| aElementOf0(X0,X2) ),
inference(cnf,[status(esa)],[mSubset]) ).
cnf(l1,plain,
( ~ aElementOf0(sK37,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aSet0(stldt0(sbsmnsldt0(xS)))
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
| aElementOf0(sK37,stldt0(sbsmnsldt0(xS))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(m__2171,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ( ( aInteger0(W0)
& ( ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
cnf(213,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))),
inference(cnf,[status(esa)],[m__2171]) ).
cnf(l4,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))),
inference(instantiation,[status(thm)],[213]) ).
cnf(144,plain,
( ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| X0 = sz10
| X0 = smndt0(sz10) ),
inference(cnf,[status(esa)],[m__2079]) ).
cnf(l2,plain,
( ~ aElementOf0(sK37,stldt0(sbsmnsldt0(xS)))
| sK37 = sz10
| sK37 = smndt0(sz10) ),
inference(instantiation,[status(thm)],[144]) ).
fof(m__2203,plain,
? [W0] :
( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ~ ( W0 = sz10
| W0 = smndt0(sz10)
| aElementOf0(W0,cS2200) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
cnf(220,plain,
sK37 != sz10,
inference(cnf,[status(esa)],[m__2203]) ).
cnf(l5,plain,
sK37 != sz10,
inference(instantiation,[status(thm)],[220]) ).
cnf(221,plain,
sK37 != smndt0(sz10),
inference(cnf,[status(esa)],[m__2203]) ).
cnf(l30,plain,
sK37 != smndt0(sz10),
inference(instantiation,[status(thm)],[221]) ).
cnf(203,plain,
( ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnf,[status(esa)],[m__2171]) ).
cnf(l38,plain,
( ~ aInteger0(sK37)
| ~ sdteqdtlpzmzozddtrp0(sK37,sz10,xp)
| aElementOf0(sK37,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(instantiation,[status(thm)],[203]) ).
cnf(218,plain,
sdteqdtlpzmzozddtrp0(sK37,sz10,xp),
inference(cnf,[status(esa)],[m__2203]) ).
cnf(l56,plain,
sdteqdtlpzmzozddtrp0(sK37,sz10,xp),
inference(instantiation,[status(thm)],[218]) ).
cnf(214,plain,
aInteger0(sK37),
inference(cnf,[status(esa)],[m__2203]) ).
cnf(l49,plain,
aInteger0(sK37),
inference(instantiation,[status(thm)],[214]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l5,l30,l38,l56,l49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM456+6 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 12:12:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 1.51/0.54 % launching worker at depth: 10
% 25.12/3.56 % SZS status Theorem for theBenchmark
% 25.12/3.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------