TSTP Solution File: NUM456+6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM456+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue Apr 30 14:23:28 EDT 2024
% Result : ContradictoryAxioms 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 8 unt; 0 def)
% Number of atoms : 466 ( 82 equ)
% Maximal formula atoms : 32 ( 12 avg)
% Number of connectives : 586 ( 158 ~; 120 |; 282 &)
% ( 16 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 108 ( 76 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1070,plain,
$false,
inference(trivial_inequality_removal,[],[f1069]) ).
fof(f1069,plain,
sz10 != sz10,
inference(superposition,[],[f421,f1045]) ).
fof(f1045,plain,
sz10 = sK40,
inference(trivial_inequality_removal,[],[f1028]) ).
fof(f1028,plain,
( sK40 != sK40
| sz10 = sK40 ),
inference(superposition,[],[f422,f1023]) ).
fof(f1023,plain,
( smndt0(sz10) = sK40
| sz10 = sK40 ),
inference(resolution,[],[f564,f686]) ).
fof(f686,plain,
aElementOf0(sK40,cS2076),
inference(resolution,[],[f560,f420]) ).
fof(f420,plain,
aElementOf0(sK40,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ~ aElementOf0(sK40,cS2200)
& smndt0(sz10) != sK40
& sz10 != sK40
& aElementOf0(sK40,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sK40,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(sK40,smndt0(sz10)))
& sdtpldt0(sK40,smndt0(sz10)) = sdtasdt0(xp,sK41)
& aInteger0(sK41)
& aInteger0(sK40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f68,f227,f226]) ).
fof(f226,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS2200)
& smndt0(sz10) != X0
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) )
=> ( ~ aElementOf0(sK40,cS2200)
& smndt0(sz10) != sK40
& sz10 != sK40
& aElementOf0(sK40,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sK40,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(sK40,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sK40,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sK40,smndt0(sz10))
& aInteger0(X1) )
=> ( sdtpldt0(sK40,smndt0(sz10)) = sdtasdt0(xp,sK41)
& aInteger0(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
? [X0] :
( ~ aElementOf0(X0,cS2200)
& smndt0(sz10) != X0
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X0] :
( ~ aElementOf0(X0,cS2200)
& smndt0(sz10) != X0
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
? [X0] :
( ~ ( aElementOf0(X0,cS2200)
| smndt0(sz10) = X0
| sz10 = X0 )
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(f560,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X0,cS2076) ),
inference(backward_demodulation,[],[f348,f362]) ).
fof(f362,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( aElementOf0(X2,sK33(X2))
& aElementOf0(sK33(X2),xS)
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f194,f195]) ).
fof(f195,plain,
! [X2] :
( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
=> ( aElementOf0(X2,sK33(X2))
& aElementOf0(sK33(X2),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != X0
& sz10 != X0 ) )
& ( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2079) ).
fof(f348,plain,
! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( aElementOf0(X2,sK32(X2))
& aElementOf0(sK32(X2),xS)
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ! [X6] :
( sdtasdt0(xp,X6) != sdtpldt0(X5,smndt0(sz10))
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& sP7(X5)
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f189,f190]) ).
fof(f190,plain,
! [X2] :
( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
=> ( aElementOf0(X2,sK32(X2))
& aElementOf0(sK32(X2),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ! [X6] :
( sdtasdt0(xp,X6) != sdtpldt0(X5,smndt0(sz10))
| ~ aInteger0(X6) ) )
| ~ aInteger0(X5) )
& ( ( sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& sP7(X5)
& aInteger0(X5) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(rectify,[],[f188]) ).
fof(f188,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& sP7(X4)
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ! [X2] :
( ( aElementOf0(X2,sbsmnsldt0(xS))
| ! [X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,xS) )
| ~ aInteger0(X2) )
& ( ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& sP7(X4)
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& sP7(X4)
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(definition_folding,[],[f64,f133]) ).
fof(f133,plain,
! [X4] :
( ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
| ~ sP7(X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f64,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ! [X5] :
( sdtpldt0(X4,smndt0(sz10)) != sdtasdt0(xp,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( ? [X3] :
( aElementOf0(X2,X3)
& aElementOf0(X3,xS) )
& aInteger0(X2) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
| ? [X5] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X4,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X4,smndt0(sz10)))
& ? [X6] :
( sdtpldt0(X4,smndt0(sz10)) = sdtasdt0(xp,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aInteger0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(f564,plain,
! [X0] :
( ~ aElementOf0(X0,cS2076)
| smndt0(sz10) = X0
| sz10 = X0 ),
inference(forward_demodulation,[],[f359,f362]) ).
fof(f359,plain,
! [X0] :
( smndt0(sz10) = X0
| sz10 = X0
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f196]) ).
fof(f422,plain,
smndt0(sz10) != sK40,
inference(cnf_transformation,[],[f228]) ).
fof(f421,plain,
sz10 != sK40,
inference(cnf_transformation,[],[f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM456+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 00:17:25 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (3372)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (3374)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (3375)WARNING: value z3 for option sas not known
% 0.15/0.40 % (3373)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (3378)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40 % (3377)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40 % (3375)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40 % (3379)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40 % (3376)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.44 % (3378)First to succeed.
% 0.22/0.45 % (3378)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status ContradictoryAxioms for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (3378)------------------------------
% 0.22/0.45 % (3378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.45 % (3378)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (3378)Memory used [KB]: 1557
% 0.22/0.45 % (3378)Time elapsed: 0.051 s
% 0.22/0.45 % (3378)Instructions burned: 56 (million)
% 0.22/0.45 % (3378)------------------------------
% 0.22/0.45 % (3378)------------------------------
% 0.22/0.45 % (3372)Success in time 0.081 s
%------------------------------------------------------------------------------