TSTP Solution File: NUM455+6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM455+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.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 : Wed Aug 31 17:59:42 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 386 ( 60 equ)
% Maximal formula atoms : 33 ( 7 avg)
% Number of connectives : 454 ( 121 ~; 102 |; 209 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 53 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f773,plain,
$false,
inference(avatar_sat_refutation,[],[f691,f733,f763,f766]) ).
fof(f766,plain,
( ~ spl40_13
| spl40_5 ),
inference(avatar_split_clause,[],[f765,f684,f728]) ).
fof(f728,plain,
( spl40_13
<=> aInteger0(sdtpldt0(sz10,smndt0(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f684,plain,
( spl40_5
<=> sQ39_eqProxy(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f765,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| spl40_5 ),
inference(subsumption_resolution,[],[f764,f649]) ).
fof(f649,plain,
~ sQ39_eqProxy(sz10,sdtpldt0(sz10,smndt0(xp))),
inference(equality_proxy_replacement,[],[f468,f590]) ).
fof(f590,plain,
! [X0,X1] :
( sQ39_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ39_eqProxy])]) ).
fof(f468,plain,
sz10 != sdtpldt0(sz10,smndt0(xp)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( sz10 != sdtpldt0(sz10,xp)
& sz10 != sdtpldt0(sz10,smndt0(xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2258) ).
fof(f764,plain,
( sQ39_eqProxy(sz10,sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| spl40_5 ),
inference(subsumption_resolution,[],[f755,f290]) ).
fof(f290,plain,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,sK11)
& aInteger0(sK11)
& sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,sK12)
& aInteger0(sK12)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f159,f161,f160]) ).
fof(f160,plain,
( ? [X0] :
( sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aInteger0(X0) )
=> ( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,sK11)
& aInteger0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aInteger0(X1) )
=> ( sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,sK12)
& aInteger0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& ? [X0] :
( sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aInteger0(X0) )
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aInteger0(X1) )
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
( aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aInteger0(X1) )
& ? [X0] :
( sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aInteger0(X0) )
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
( sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& ? [X0] :
( sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aInteger0(X0) )
& ? [X0] :
( sdtasdt0(xp,X0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aInteger0(X0) )
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).
fof(f755,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| sQ39_eqProxy(sz10,sdtpldt0(sz10,smndt0(xp)))
| spl40_5 ),
inference(resolution,[],[f686,f610]) ).
fof(f610,plain,
! [X0] :
( sQ39_eqProxy(smndt0(sz10),X0)
| ~ aInteger0(X0)
| sQ39_eqProxy(sz10,X0)
| ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ),
inference(equality_proxy_replacement,[],[f319,f590,f590]) ).
fof(f319,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp)
| smndt0(sz10) = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ( ~ aInteger0(X0)
| ( ! [X1] :
( ~ aInteger0(X1)
| sdtasdt0(xp,X1) != sdtpldt0(X0,smndt0(sz10)) )
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10))) ) )
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
| ( aElementOf0(X0,cS2200)
& ( smndt0(sz10) = X0
| sz10 = X0 ) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,negated_conjecture,
~ ? [X0] :
( ~ ( aElementOf0(X0,cS2200)
& ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ( ( aInteger0(X0)
& ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
| sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
? [X0] :
( ~ ( aElementOf0(X0,cS2200)
& ( smndt0(sz10) = X0
| sz10 = X0 ) )
& ( ( aInteger0(X0)
& ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
| sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f686,plain,
( ~ sQ39_eqProxy(smndt0(sz10),sdtpldt0(sz10,smndt0(xp)))
| spl40_5 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f763,plain,
spl40_13,
inference(avatar_split_clause,[],[f758,f728]) ).
fof(f758,plain,
aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(resolution,[],[f284,f353]) ).
fof(f353,plain,
! [X2] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aInteger0(X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ) )
& ! [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ aDivisorOf0(xp,sdtpldt0(X2,smndt0(sz10)))
& ! [X3] :
( sdtpldt0(X2,smndt0(sz10)) != sdtasdt0(xp,X3)
| ~ aInteger0(X3) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz10,xp) ) )
& ( ( aDivisorOf0(xp,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,xp)
& sdtasdt0(xp,sK18(X2)) = sdtpldt0(X2,smndt0(sz10))
& aInteger0(sK18(X2))
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(xp)
& sz00 != xp
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X5] :
( ( aElementOf0(X5,sbsmnsldt0(xS))
| ~ aInteger0(X5)
| ! [X6] :
( ~ aElementOf0(X6,xS)
| ~ aElementOf0(X5,X6) ) )
& ( ( aInteger0(X5)
& aElementOf0(sK19(X5),xS)
& aElementOf0(X5,sK19(X5)) )
| ~ aElementOf0(X5,sbsmnsldt0(xS)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f191,f193,f192]) ).
fof(f192,plain,
! [X2] :
( ? [X4] :
( sdtpldt0(X2,smndt0(sz10)) = sdtasdt0(xp,X4)
& aInteger0(X4) )
=> ( sdtasdt0(xp,sK18(X2)) = sdtpldt0(X2,smndt0(sz10))
& aInteger0(sK18(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X5] :
( ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X5,X7) )
=> ( aElementOf0(sK19(X5),xS)
& aElementOf0(X5,sK19(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X1] :
( ( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ) )
& ! [X2] :
( ( ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ aDivisorOf0(xp,sdtpldt0(X2,smndt0(sz10)))
& ! [X3] :
( sdtpldt0(X2,smndt0(sz10)) != sdtasdt0(xp,X3)
| ~ aInteger0(X3) )
& ~ sdteqdtlpzmzozddtrp0(X2,sz10,xp) ) )
& ( ( aDivisorOf0(xp,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,xp)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz10)) = sdtasdt0(xp,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(xp)
& sz00 != xp
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X5] :
( ( aElementOf0(X5,sbsmnsldt0(xS))
| ~ aInteger0(X5)
| ! [X6] :
( ~ aElementOf0(X6,xS)
| ~ aElementOf0(X5,X6) ) )
& ( ( aInteger0(X5)
& ? [X7] :
( aElementOf0(X7,xS)
& aElementOf0(X5,X7) ) )
| ~ aElementOf0(X5,sbsmnsldt0(xS)) ) ) ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
( ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X6] :
( ( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6) ) )
& ! [X0] :
( ( ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ! [X1] :
( sdtasdt0(xp,X1) != sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X1) )
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
& ( ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ? [X2] :
( sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,X2)
& aInteger0(X2) )
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(xp)
& sz00 != xp
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X3,X4) ) )
& ( ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) ) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
( ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X6] :
( ( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X6,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X6,sbsmnsldt0(xS))
| ~ aInteger0(X6) ) )
& ! [X0] :
( ( ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ! [X1] :
( sdtasdt0(xp,X1) != sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X1) )
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
& ( ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ? [X2] :
( sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,X2)
& aInteger0(X2) )
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(xp)
& sz00 != xp
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3)
| ! [X4] :
( ~ aElementOf0(X4,xS)
| ~ aElementOf0(X3,X4) ) )
& ( ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
( ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( ( ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ! [X1] :
( sdtasdt0(xp,X1) != sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X1) )
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
& ( ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ? [X2] :
( sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,X2)
& aInteger0(X2) )
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(xp)
& sz00 != xp
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( aElementOf0(X3,sbsmnsldt0(xS))
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& sz00 != xp
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X5] :
( aElementOf0(X5,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X3] :
( aElementOf0(X3,sbsmnsldt0(xS))
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ? [X2] :
( sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,X2)
& aInteger0(X2) )
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X0)
| ( ~ aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ! [X1] :
( sdtasdt0(xp,X1) != sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X1) )
& ~ sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& aInteger0(xp) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& sz00 != xp
& ! [X6] :
( ( ~ aElementOf0(X6,sbsmnsldt0(xS))
& aInteger0(X6) )
<=> aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X5] :
( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X5,stldt0(sbsmnsldt0(xS))) )
& ! [X3] :
( aElementOf0(X3,sbsmnsldt0(xS))
<=> ( aInteger0(X3)
& ? [X4] :
( aElementOf0(X4,xS)
& aElementOf0(X3,X4) ) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ? [X2] :
( sdtpldt0(X0,smndt0(sz10)) = sdtasdt0(xp,X2)
& aInteger0(X2) )
& aInteger0(X0) ) )
& ( ( aInteger0(X0)
& ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
| sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aInteger0(xp) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
( aSet0(sbsmnsldt0(xS))
& aInteger0(xp)
& ! [X0] :
( ( ( aInteger0(X0)
& ( aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
| sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X0)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& sdteqdtlpzmzozddtrp0(X0,sz10,xp) ) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& sz00 != xp
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( aInteger0(X0)
& ~ aElementOf0(X0,sbsmnsldt0(xS)) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
fof(f284,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f162]) ).
fof(f733,plain,
spl40_6,
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f732,plain,
( $false
| spl40_6 ),
inference(subsumption_resolution,[],[f291,f721]) ).
fof(f721,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| spl40_6 ),
inference(subsumption_resolution,[],[f720,f648]) ).
fof(f648,plain,
~ sQ39_eqProxy(sz10,sdtpldt0(sz10,xp)),
inference(equality_proxy_replacement,[],[f469,f590]) ).
fof(f469,plain,
sz10 != sdtpldt0(sz10,xp),
inference(cnf_transformation,[],[f48]) ).
fof(f720,plain,
( sQ39_eqProxy(sz10,sdtpldt0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| spl40_6 ),
inference(resolution,[],[f690,f612]) ).
fof(f612,plain,
! [X0] :
( sQ39_eqProxy(smndt0(sz10),X0)
| sQ39_eqProxy(sz10,X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(equality_proxy_replacement,[],[f315,f590,f590]) ).
fof(f315,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| smndt0(sz10) = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f690,plain,
( ~ sQ39_eqProxy(smndt0(sz10),sdtpldt0(sz10,xp))
| spl40_6 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl40_6
<=> sQ39_eqProxy(smndt0(sz10),sdtpldt0(sz10,xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f291,plain,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f162]) ).
fof(f691,plain,
( ~ spl40_5
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f596,f688,f684]) ).
fof(f596,plain,
( ~ sQ39_eqProxy(smndt0(sz10),sdtpldt0(sz10,xp))
| ~ sQ39_eqProxy(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) ),
inference(equality_proxy_replacement,[],[f280,f590,f590]) ).
fof(f280,plain,
( smndt0(sz10) != sdtpldt0(sz10,smndt0(xp))
| smndt0(sz10) != sdtpldt0(sz10,xp) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( smndt0(sz10) != sdtpldt0(sz10,smndt0(xp))
| smndt0(sz10) != sdtpldt0(sz10,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2286) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM455+6 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:20:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (10984)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (10999)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (10997)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (10984)Instruction limit reached!
% 0.20/0.51 % (10984)------------------------------
% 0.20/0.51 % (10984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (10989)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (10991)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (10984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10984)Termination reason: Unknown
% 0.20/0.52 % (10984)Termination phase: Function definition elimination
% 0.20/0.52
% 0.20/0.52 % (10984)Memory used [KB]: 1791
% 0.20/0.52 % (10984)Time elapsed: 0.007 s
% 0.20/0.52 % (10984)Instructions burned: 8 (million)
% 0.20/0.52 % (10984)------------------------------
% 0.20/0.52 % (10984)------------------------------
% 0.20/0.52 % (10982)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (10991)Instruction limit reached!
% 0.20/0.52 % (10991)------------------------------
% 0.20/0.52 % (10991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10991)Termination reason: Unknown
% 0.20/0.52 % (10991)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (10991)Memory used [KB]: 1535
% 0.20/0.52 % (10991)Time elapsed: 0.003 s
% 0.20/0.52 % (10991)Instructions burned: 3 (million)
% 0.20/0.52 % (10991)------------------------------
% 0.20/0.52 % (10991)------------------------------
% 0.20/0.52 % (10994)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (10985)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (10974)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (10973)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (10975)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (10975)Instruction limit reached!
% 0.20/0.53 % (10975)------------------------------
% 0.20/0.53 % (10975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10975)Termination reason: Unknown
% 0.20/0.53 % (10975)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (10975)Memory used [KB]: 1535
% 0.20/0.53 % (10975)Time elapsed: 0.003 s
% 0.20/0.53 % (10975)Instructions burned: 4 (million)
% 0.20/0.53 % (10975)------------------------------
% 0.20/0.53 % (10975)------------------------------
% 0.20/0.53 % (10976)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (10987)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (10995)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54 % (10981)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (10977)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (10978)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (11002)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54 % (10996)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (10983)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (10986)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (10997)First to succeed.
% 0.20/0.55 % (10988)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (10997)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (10997)------------------------------
% 0.20/0.55 % (10997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (10997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (10997)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (10997)Memory used [KB]: 6396
% 0.20/0.55 % (10997)Time elapsed: 0.119 s
% 0.20/0.55 % (10997)Instructions burned: 16 (million)
% 0.20/0.55 % (10997)------------------------------
% 0.20/0.55 % (10997)------------------------------
% 0.20/0.55 % (10972)Success in time 0.187 s
%------------------------------------------------------------------------------