%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM456+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:40:35 PM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 11 unt; 1 def)
% Number of atoms : 325 ( 52 equ)
% Maximal formula atoms : 33 ( 9 avg)
% Number of connectives : 412 ( 121 ~; 104 |; 173 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 96 ( 78 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( W0 = smndt0(sz10)
| W0 = sz10 ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) ) )
& aSet0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) ) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( ( ( ( sdteqdtlpzmzozddtrp0(W0,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
| ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) ) )
& aInteger0(W0) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) )
& aInteger0(W0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
? [W0] :
( ~ ( aElementOf0(W0,cS2200)
| W0 = smndt0(sz10)
| W0 = sz10 )
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) )
& aInteger0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,plain,
! [W0] :
( ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) ) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f127,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f127]) ).
fof(f129,plain,
! [W0] :
( ( ! [W1] :
( ( ~ aElementOf0(sK2_skl(W1,W0),W0)
& aElementOf0(sK2_skl(W1,W0),W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W2,sK2_skl(W1,W0))],[f128]) ).
fof(f131,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f252,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [W0] :
( ( ( W0 != smndt0(sz10)
& W0 != sz10 )
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ( W0 = smndt0(sz10)
| W0 = sz10
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ) )
& ! [W0] :
( ( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( ( ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) )
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ( ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f253,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [W0] :
( ( W0 != smndt0(sz10)
& W0 != sz10 )
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( W0 = smndt0(sz10)
| W0 = sz10
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) )
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ! [W0] :
( ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS)) ),
inference(miniscoping,[status(thm)],[f252]) ).
fof(f254,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [W0] :
( ( W0 != smndt0(sz10)
& W0 != sz10 )
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( W0 = smndt0(sz10)
| W0 = sz10
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) )
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ! [W0] :
( ( aElementOf0(W0,sK18_skl(W0))
& aElementOf0(sK18_skl(W0),xS)
& aInteger0(W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl]),skolemize(W1,sK18_skl(W0))],[f253]) ).
fof(f260,plain,
aSet0(stldt0(sbsmnsldt0(xS))),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f264,plain,
! [X0] :
( X0 = smndt0(sz10)
| X0 = sz10
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f267,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f317,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) ) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ! [W1] :
( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f318,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [W0] :
( ( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ) )
& ! [W0] :
( ( ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) )
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ( ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ! [W1] :
( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) )
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ! [W0] :
( ( ? [W1] :
( aElementOf0(W0,W1)
& aElementOf0(W1,xS) )
& aInteger0(W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ! [W1] :
( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ! [W0] :
( ( sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
inference(miniscoping,[status(thm)],[f318]) ).
fof(f320,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& ! [W0] :
( ! [W1] :
( ~ aElementOf0(W0,W1)
| ~ aElementOf0(W1,xS) )
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ! [W0] :
( ( aElementOf0(W0,sK26_skl(W0))
& aElementOf0(sK26_skl(W0),xS)
& aInteger0(W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ! [W1] :
( sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ! [W0] :
( ( sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdtasdt0(xp,sK25_skl(W0)) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(sK25_skl(W0))
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl,sK26_skl]),skolemize(W1,sK25_skl(W0)),skolemize(W1,sK26_skl(W0))],[f319]) ).
fof(f341,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f342,plain,
? [W0] :
( ~ aElementOf0(W0,cS2200)
& W0 != smndt0(sz10)
& W0 != sz10
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ? [W1] :
( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10))
& aInteger0(W1) )
& aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f343,plain,
( ~ aElementOf0(sK27_skl,cS2200)
& sK27_skl != smndt0(sz10)
& sK27_skl != sz10
& aElementOf0(sK27_skl,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sK27_skl,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(sK27_skl,smndt0(sz10)))
& sdtasdt0(xp,sK28_skl) = sdtpldt0(sK27_skl,smndt0(sz10))
& aInteger0(sK28_skl)
& aInteger0(sK27_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl,sK28_skl]),skolemize(W0,sK27_skl),skolemize(W1,sK28_skl)],[f342]) ).
fof(f349,plain,
aElementOf0(sK27_skl,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f350,plain,
sK27_skl != sz10,
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f351,plain,
sK27_skl != smndt0(sz10),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f392,plain,
aSet0(cS2076),
inference(backward_demodulation,[status(thm)],[f267,f260]) ).
fof(f495,plain,
aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),cS2076),
inference(forward_demodulation,[status(thm)],[f267,f341]) ).
fof(f527,plain,
! [X0] :
( aElementOf0(X0,cS2076)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aSet0(cS2076) ),
inference(resolution,[status(thm)],[f131,f495]) ).
fof(f528,plain,
! [X0] :
( aElementOf0(X0,cS2076)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f392]) ).
fof(f584,plain,
aElementOf0(sK27_skl,cS2076),
inference(resolution,[status(thm)],[f528,f349]) ).
fof(f727,plain,
! [X0] :
( X0 = smndt0(sz10)
| X0 = sz10
| ~ aElementOf0(X0,cS2076) ),
inference(forward_demodulation,[status(thm)],[f267,f264]) ).
fof(f735,plain,
( sK27_skl = smndt0(sz10)
| sK27_skl = sz10 ),
inference(resolution,[status(thm)],[f727,f584]) ).
fof(f742,plain,
sK27_skl = smndt0(sz10),
inference(forward_subsumption_resolution,[status(thm)],[f735,f350]) ).
fof(f743,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f742,f351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM456+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:31:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.082115 seconds
% 0.13/0.44 % CPU time: 0.388146 seconds
% 0.13/0.44 % Total memory used: 116.141 MB
% 0.13/0.44 % Net memory used: 115.623 MB
%------------------------------------------------------------------------------