TSTP Solution File: NUM448+5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 : Sun May 5 08:12:08 EDT 2024
% Result : Theorem 0.99s 0.91s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 146 ( 8 unt; 0 def)
% Number of atoms : 977 ( 211 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 1225 ( 394 ~; 371 |; 390 &)
% ( 26 <=>; 41 =>; 0 <=; 3 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 10 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-2 aty)
% Number of variables : 239 ( 154 !; 85 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4061,plain,
$false,
inference(avatar_sat_refutation,[],[f397,f402,f403,f416,f424,f427,f513,f561,f4023,f4038,f4053,f4060]) ).
fof(f4060,plain,
( ~ spl28_5
| ~ spl28_7
| ~ spl28_117 ),
inference(avatar_contradiction_clause,[],[f4059]) ).
fof(f4059,plain,
( $false
| ~ spl28_5
| ~ spl28_7
| ~ spl28_117 ),
inference(subsumption_resolution,[],[f4056,f4043]) ).
fof(f4043,plain,
( ~ sP2(sK10)
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f565,f395]) ).
fof(f395,plain,
( sK10 = sF27
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl28_5
<=> sK10 = sF27 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f565,plain,
( ~ sP2(sF27)
| ~ spl28_7 ),
inference(subsumption_resolution,[],[f564,f211]) ).
fof(f211,plain,
! [X0] :
( isPrime0(sK8(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( isPrime0(sK8(X0))
& aDivisorOf0(sK8(X0),X0)
& sdtasdt0(sK8(X0),sK9(X0)) = X0
& aInteger0(sK9(X0))
& sz00 != sK8(X0)
& aInteger0(sK8(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f123,f125,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
=> ( isPrime0(sK8(X0))
& aDivisorOf0(sK8(X0),X0)
& ? [X2] :
( sdtasdt0(sK8(X0),X2) = X0
& aInteger0(X2) )
& sz00 != sK8(X0)
& aInteger0(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X2] :
( sdtasdt0(sK8(X0),X2) = X0
& aInteger0(X2) )
=> ( sdtasdt0(sK8(X0),sK9(X0)) = X0
& aInteger0(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ? [X5] :
( isPrime0(X5)
& aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& sz00 != X5
& aInteger0(X5) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ? [X5] :
( isPrime0(X5)
& aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& sz00 != X5
& aInteger0(X5) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f564,plain,
( ~ isPrime0(sK8(sF27))
| ~ sP2(sF27)
| ~ spl28_7 ),
inference(resolution,[],[f411,f210]) ).
fof(f210,plain,
! [X0] :
( aDivisorOf0(sK8(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f411,plain,
( ! [X2] :
( ~ aDivisorOf0(X2,sF27)
| ~ isPrime0(X2) )
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl28_7
<=> ! [X2] :
( ~ aDivisorOf0(X2,sF27)
| ~ isPrime0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f4056,plain,
( sP2(sK10)
| ~ spl28_117 ),
inference(resolution,[],[f4037,f404]) ).
fof(f404,plain,
! [X5] :
( ~ aElementOf0(X5,sF25)
| sP2(X5) ),
inference(subsumption_resolution,[],[f377,f373]) ).
fof(f373,plain,
! [X2] :
( ~ aElementOf0(X2,sF25)
| aInteger0(X2) ),
inference(definition_folding,[],[f334,f359]) ).
fof(f359,plain,
sbsmnsldt0(cS2043) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f334,plain,
! [X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,sbsmnsldt0(cS2043)) ),
inference(definition_unfolding,[],[f221,f205]) ).
fof(f205,plain,
xS = cS2043,
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0(sz00,sK7(X0)) = X0
& sP0(sK7(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK7(X0)))
& isPrime0(sK7(X0))
& sz00 != sK7(X0)
& aInteger0(sK7(X0)) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f119,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X2] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& sP0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& isPrime0(X2)
& sz00 != X2
& aInteger0(X2) )
=> ( szAzrzSzezqlpdtcmdtrp0(sz00,sK7(X0)) = X0
& sP0(sK7(X0))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK7(X0)))
& isPrime0(sK7(X0))
& sz00 != sK7(X0)
& aInteger0(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X2] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& sP0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& isPrime0(X2)
& sz00 != X2
& aInteger0(X2) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& sP1(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& sP0(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(definition_folding,[],[f54,f104,f103]) ).
fof(f103,plain,
! [X5] :
( ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f104,plain,
! [X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f54,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ! [X3] :
( sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00))
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
| ~ isPrime0(X1)
| sz00 = X1
| ~ aInteger0(X1) ) )
& ( ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ! [X7] :
( sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X7)
| ~ aInteger0(X7) ) )
| ~ aInteger0(X6) )
& ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X0,xS) ) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
( xS = cS2043
& ! [X0] :
( ( ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X5] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0
& ! [X6] :
( ( ( ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
| ? [X7] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7)
& aInteger0(X7) ) )
& aInteger0(X6) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
& aInteger0(X6) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& isPrime0(X5)
& sz00 != X5
& aInteger0(X5) ) ) )
& aSet0(xS) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 )
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X1] :
( szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& isPrime0(X1)
& sz00 != X1
& aInteger0(X1) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.3NKE5STe2A/Vampire---4.8_11111',m__2046) ).
fof(f221,plain,
! [X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ( ( smndt0(sz10) != sK10
& sz10 != sK10 )
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS))) )
& ( smndt0(sz10) = sK10
| sz10 = sK10
| aElementOf0(sK10,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,sK11(X2))
& aElementOf0(sK11(X2),xS)
& aInteger0(X2) )
| ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ( ( aElementOf0(X5,sbsmnsldt0(xS))
& aElementOf0(X5,sK12(X5))
& aElementOf0(sK12(X5),xS) )
| ! [X7] :
( ~ isPrime0(X7)
| ( ~ aDivisorOf0(X7,X5)
& ( ! [X8] :
( sdtasdt0(X7,X8) != X5
| ~ aInteger0(X8) )
| sz00 = X7
| ~ aInteger0(X7) ) ) ) )
& ( sP2(X5)
| ( ~ aElementOf0(X5,sbsmnsldt0(xS))
& ! [X9] :
( ~ aElementOf0(X5,X9)
| ~ aElementOf0(X9,xS) ) ) ) )
| ~ aInteger0(X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f129,f132,f131,f130]) ).
fof(f130,plain,
( ? [X0] :
( ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ( smndt0(sz10) = X0
| sz10 = X0
| aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ) )
=> ( ( ( smndt0(sz10) != sK10
& sz10 != sK10 )
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS))) )
& ( smndt0(sz10) = sK10
| sz10 = sK10
| aElementOf0(sK10,stldt0(sbsmnsldt0(xS))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X2] :
( ? [X4] :
( aElementOf0(X2,X4)
& aElementOf0(X4,xS) )
=> ( aElementOf0(X2,sK11(X2))
& aElementOf0(sK11(X2),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X5] :
( ? [X6] :
( aElementOf0(X5,X6)
& aElementOf0(X6,xS) )
=> ( aElementOf0(X5,sK12(X5))
& aElementOf0(sK12(X5),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X0] :
( ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ( 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))
& ! [X5] :
( ( ( ( aElementOf0(X5,sbsmnsldt0(xS))
& ? [X6] :
( aElementOf0(X5,X6)
& aElementOf0(X6,xS) ) )
| ! [X7] :
( ~ isPrime0(X7)
| ( ~ aDivisorOf0(X7,X5)
& ( ! [X8] :
( sdtasdt0(X7,X8) != X5
| ~ aInteger0(X8) )
| sz00 = X7
| ~ aInteger0(X7) ) ) ) )
& ( sP2(X5)
| ( ~ aElementOf0(X5,sbsmnsldt0(xS))
& ! [X9] :
( ~ aElementOf0(X5,X9)
| ~ aElementOf0(X9,xS) ) ) ) )
| ~ aInteger0(X5) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( ( ( smndt0(sz10) != X10
& sz10 != X10 )
| ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( smndt0(sz10) = X10
| sz10 = X10
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& ! [X9] :
( ( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X9,sbsmnsldt0(xS))
| ~ aInteger0(X9) )
& ( ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7) )
& ( ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) )
| ! [X1] :
( ~ isPrime0(X1)
| ( ~ aDivisorOf0(X1,X0)
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) ) ) )
& ( sP2(X0)
| ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X4] :
( ~ aElementOf0(X0,X4)
| ~ aElementOf0(X4,xS) ) ) ) )
| ~ aInteger0(X0) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( ( ( smndt0(sz10) != X10
& sz10 != X10 )
| ~ aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& ( smndt0(sz10) = X10
| sz10 = X10
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) ) )
& ! [X9] :
( ( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X9,sbsmnsldt0(xS))
| ~ aInteger0(X9) )
& ( ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) )
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( ( aElementOf0(X7,sbsmnsldt0(xS))
| ! [X8] :
( ~ aElementOf0(X7,X8)
| ~ aElementOf0(X8,xS) )
| ~ aInteger0(X7) )
& ( ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) )
| ~ aElementOf0(X7,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) )
| ! [X1] :
( ~ isPrime0(X1)
| ( ~ aDivisorOf0(X1,X0)
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) ) ) )
& ( sP2(X0)
| ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X4] :
( ~ aElementOf0(X0,X4)
| ~ aElementOf0(X4,xS) ) ) ) )
| ~ aInteger0(X0) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( smndt0(sz10) = X10
| sz10 = X10 ) )
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) )
| ! [X1] :
( ~ isPrime0(X1)
| ( ~ aDivisorOf0(X1,X0)
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) ) ) )
& ( sP2(X0)
| ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X4] :
( ~ aElementOf0(X0,X4)
| ~ aElementOf0(X4,xS) ) ) ) )
| ~ aInteger0(X0) ) ),
inference(definition_folding,[],[f56,f106]) ).
fof(f56,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( smndt0(sz10) = X10
| sz10 = X10 ) )
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) )
| ! [X1] :
( ~ isPrime0(X1)
| ( ~ aDivisorOf0(X1,X0)
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) ) ) )
& ( ? [X5] :
( isPrime0(X5)
& aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& sz00 != X5
& aInteger0(X5) )
| ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X4] :
( ~ aElementOf0(X0,X4)
| ~ aElementOf0(X4,xS) ) ) ) )
| ~ aInteger0(X0) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ? [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<~> ( smndt0(sz10) = X10
| sz10 = X10 ) )
& ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) )
| ! [X1] :
( ~ isPrime0(X1)
| ( ~ aDivisorOf0(X1,X0)
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) ) ) ) )
& ( ? [X5] :
( isPrime0(X5)
& aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& sz00 != X5
& aInteger0(X5) )
| ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& ! [X4] :
( ~ aElementOf0(X0,X4)
| ~ aElementOf0(X4,xS) ) ) ) )
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( isPrime0(X1)
& ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X3] :
( aElementOf0(X0,X3)
& aElementOf0(X3,xS) ) ) )
& ( ( aElementOf0(X0,sbsmnsldt0(xS))
| ? [X4] :
( aElementOf0(X0,X4)
& aElementOf0(X4,xS) ) )
=> ? [X5] :
( isPrime0(X5)
& aDivisorOf0(X5,X0)
& ? [X6] :
( sdtasdt0(X5,X6) = X0
& aInteger0(X6) )
& sz00 != X5
& aInteger0(X5) ) ) ) )
=> ( ( ! [X7] :
( aElementOf0(X7,sbsmnsldt0(xS))
<=> ( ? [X8] :
( aElementOf0(X7,X8)
& aElementOf0(X8,xS) )
& aInteger0(X7) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ( ! [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X9,sbsmnsldt0(xS))
& aInteger0(X9) ) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( stldt0(sbsmnsldt0(xS)) = cS2076
| ! [X10] :
( aElementOf0(X10,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X10
| sz10 = X10 ) ) ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( isPrime0(X1)
& ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) )
& ( ( aElementOf0(X0,sbsmnsldt0(xS))
| ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
=> ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( stldt0(sbsmnsldt0(xS)) = cS2076
| ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) ) ) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
( ! [X0] :
( aInteger0(X0)
=> ( ( ? [X1] :
( isPrime0(X1)
& ( aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) )
=> ( aElementOf0(X0,sbsmnsldt0(xS))
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) )
& ( ( aElementOf0(X0,sbsmnsldt0(xS))
| ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) )
=> ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS))) )
=> ( stldt0(sbsmnsldt0(xS)) = cS2076
| ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( smndt0(sz10) = X0
| sz10 = X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3NKE5STe2A/Vampire---4.8_11111',m__) ).
fof(f377,plain,
! [X5] :
( sP2(X5)
| ~ aElementOf0(X5,sF25)
| ~ aInteger0(X5) ),
inference(definition_folding,[],[f340,f359]) ).
fof(f340,plain,
! [X5] :
( sP2(X5)
| ~ aElementOf0(X5,sbsmnsldt0(cS2043))
| ~ aInteger0(X5) ),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f213,plain,
! [X5] :
( sP2(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS))
| ~ aInteger0(X5) ),
inference(cnf_transformation,[],[f133]) ).
fof(f4037,plain,
( aElementOf0(sK10,sF25)
| ~ spl28_117 ),
inference(avatar_component_clause,[],[f4035]) ).
fof(f4035,plain,
( spl28_117
<=> aElementOf0(sK10,sF25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_117])]) ).
fof(f4053,plain,
( spl28_116
| ~ spl28_5
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f4040,f413,f394,f4031]) ).
fof(f4031,plain,
( spl28_116
<=> aInteger0(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_116])]) ).
fof(f413,plain,
( spl28_8
<=> aInteger0(sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
fof(f4040,plain,
( aInteger0(sK10)
| ~ spl28_5
| ~ spl28_8 ),
inference(superposition,[],[f414,f395]) ).
fof(f414,plain,
( aInteger0(sF27)
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f4038,plain,
( ~ spl28_116
| spl28_117
| spl28_4 ),
inference(avatar_split_clause,[],[f4029,f390,f4035,f4031]) ).
fof(f390,plain,
( spl28_4
<=> aElementOf0(sK10,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f4029,plain,
( aElementOf0(sK10,sF25)
| ~ aInteger0(sK10)
| spl28_4 ),
inference(resolution,[],[f392,f366]) ).
fof(f366,plain,
! [X1] :
( aElementOf0(X1,sF26)
| aElementOf0(X1,sF25)
| ~ aInteger0(X1) ),
inference(definition_folding,[],[f327,f359,f360,f359]) ).
fof(f360,plain,
stldt0(sF25) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f327,plain,
! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(X1,sbsmnsldt0(cS2043))
| ~ aInteger0(X1) ),
inference(definition_unfolding,[],[f228,f205,f205]) ).
fof(f228,plain,
! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f392,plain,
( ~ aElementOf0(sK10,sF26)
| spl28_4 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f4023,plain,
( ~ spl28_4
| spl28_5
| spl28_6 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
fof(f4022,plain,
( $false
| ~ spl28_4
| spl28_5
| spl28_6 ),
inference(subsumption_resolution,[],[f4021,f396]) ).
fof(f396,plain,
( sK10 != sF27
| spl28_5 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f4021,plain,
( sK10 = sF27
| ~ spl28_4
| spl28_6 ),
inference(subsumption_resolution,[],[f4020,f563]) ).
fof(f563,plain,
( aInteger0(sK10)
| ~ spl28_4 ),
inference(resolution,[],[f391,f368]) ).
fof(f368,plain,
! [X1] :
( ~ aElementOf0(X1,sF26)
| aInteger0(X1) ),
inference(definition_folding,[],[f329,f360,f359]) ).
fof(f329,plain,
! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f226,f205]) ).
fof(f226,plain,
! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f391,plain,
( aElementOf0(sK10,sF26)
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f4020,plain,
( ~ aInteger0(sK10)
| sK10 = sF27
| ~ spl28_4
| spl28_6 ),
inference(subsumption_resolution,[],[f4011,f401]) ).
fof(f401,plain,
( sz10 != sK10
| spl28_6 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl28_6
<=> sz10 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
fof(f4011,plain,
( sz10 = sK10
| ~ aInteger0(sK10)
| sK10 = sF27
| ~ spl28_4 ),
inference(resolution,[],[f2131,f562]) ).
fof(f562,plain,
( ~ aElementOf0(sK10,sF25)
| ~ spl28_4 ),
inference(resolution,[],[f391,f367]) ).
fof(f367,plain,
! [X1] :
( ~ aElementOf0(X1,sF26)
| ~ aElementOf0(X1,sF25) ),
inference(definition_folding,[],[f328,f360,f359,f359]) ).
fof(f328,plain,
! [X1] :
( ~ aElementOf0(X1,sbsmnsldt0(cS2043))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f227,f205,f205]) ).
fof(f227,plain,
! [X1] :
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f2131,plain,
! [X0] :
( aElementOf0(X0,sF25)
| sz10 = X0
| ~ aInteger0(X0)
| sF27 = X0 ),
inference(subsumption_resolution,[],[f2127,f405]) ).
fof(f405,plain,
! [X0] :
( isPrime0(sK13(X0))
| sF27 = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(forward_demodulation,[],[f240,f362]) ).
fof(f362,plain,
smndt0(sz10) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
fof(f240,plain,
! [X0] :
( isPrime0(sK13(X0))
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ( ( isPrime0(sK13(X0))
& aDivisorOf0(sK13(X0),X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
=> ( isPrime0(sK13(X0))
& aDivisorOf0(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0) ) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
| smndt0(sz10) = X0
| sz10 = X0 )
& ( ( smndt0(sz10) != X0
& sz10 != X0 )
| ! [X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0) ) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aInteger0(X0)
=> ( ? [X1] :
( isPrime0(X1)
& aDivisorOf0(X1,X0) )
<=> ( smndt0(sz10) != X0
& sz10 != X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3NKE5STe2A/Vampire---4.8_11111',mPrimeDivisor) ).
fof(f2127,plain,
! [X0] :
( sF27 = X0
| sz10 = X0
| ~ aInteger0(X0)
| ~ isPrime0(sK13(X0))
| aElementOf0(X0,sF25) ),
inference(duplicate_literal_removal,[],[f2123]) ).
fof(f2123,plain,
! [X0] :
( sF27 = X0
| sz10 = X0
| ~ aInteger0(X0)
| ~ isPrime0(sK13(X0))
| aElementOf0(X0,sF25)
| ~ aInteger0(X0) ),
inference(resolution,[],[f406,f375]) ).
fof(f375,plain,
! [X7,X5] :
( ~ aDivisorOf0(X7,X5)
| ~ isPrime0(X7)
| aElementOf0(X5,sF25)
| ~ aInteger0(X5) ),
inference(definition_folding,[],[f336,f359]) ).
fof(f336,plain,
! [X7,X5] :
( aElementOf0(X5,sbsmnsldt0(cS2043))
| ~ isPrime0(X7)
| ~ aDivisorOf0(X7,X5)
| ~ aInteger0(X5) ),
inference(definition_unfolding,[],[f219,f205]) ).
fof(f219,plain,
! [X7,X5] :
( aElementOf0(X5,sbsmnsldt0(xS))
| ~ isPrime0(X7)
| ~ aDivisorOf0(X7,X5)
| ~ aInteger0(X5) ),
inference(cnf_transformation,[],[f133]) ).
fof(f406,plain,
! [X0] :
( aDivisorOf0(sK13(X0),X0)
| sF27 = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(forward_demodulation,[],[f239,f362]) ).
fof(f239,plain,
! [X0] :
( aDivisorOf0(sK13(X0),X0)
| smndt0(sz10) = X0
| sz10 = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f561,plain,
( spl28_4
| ~ spl28_6
| ~ spl28_9
| ~ spl28_10 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| spl28_4
| ~ spl28_6
| ~ spl28_9
| ~ spl28_10 ),
inference(subsumption_resolution,[],[f558,f549]) ).
fof(f549,plain,
( ~ sP2(sz10)
| ~ spl28_10 ),
inference(subsumption_resolution,[],[f538,f211]) ).
fof(f538,plain,
( ~ sP2(sz10)
| ~ isPrime0(sK8(sz10))
| ~ spl28_10 ),
inference(resolution,[],[f210,f423]) ).
fof(f423,plain,
( ! [X2] :
( ~ aDivisorOf0(X2,sz10)
| ~ isPrime0(X2) )
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl28_10
<=> ! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f558,plain,
( sP2(sz10)
| spl28_4
| ~ spl28_6
| ~ spl28_9 ),
inference(resolution,[],[f556,f404]) ).
fof(f556,plain,
( aElementOf0(sz10,sF25)
| spl28_4
| ~ spl28_6
| ~ spl28_9 ),
inference(subsumption_resolution,[],[f555,f419]) ).
fof(f419,plain,
( aInteger0(sz10)
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl28_9
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f555,plain,
( ~ aInteger0(sz10)
| aElementOf0(sz10,sF25)
| spl28_4
| ~ spl28_6 ),
inference(forward_demodulation,[],[f554,f400]) ).
fof(f400,plain,
( sz10 = sK10
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f554,plain,
( aElementOf0(sz10,sF25)
| ~ aInteger0(sK10)
| spl28_4
| ~ spl28_6 ),
inference(forward_demodulation,[],[f505,f400]) ).
fof(f505,plain,
( aElementOf0(sK10,sF25)
| ~ aInteger0(sK10)
| spl28_4 ),
inference(resolution,[],[f392,f366]) ).
fof(f513,plain,
( spl28_8
| ~ spl28_9 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| spl28_8
| ~ spl28_9 ),
inference(subsumption_resolution,[],[f511,f419]) ).
fof(f511,plain,
( ~ aInteger0(sz10)
| spl28_8 ),
inference(subsumption_resolution,[],[f510,f415]) ).
fof(f415,plain,
( ~ aInteger0(sF27)
| spl28_8 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f510,plain,
( aInteger0(sF27)
| ~ aInteger0(sz10) ),
inference(superposition,[],[f252,f362]) ).
fof(f252,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.3NKE5STe2A/Vampire---4.8_11111',mIntNeg) ).
fof(f427,plain,
spl28_9,
inference(avatar_split_clause,[],[f288,f418]) ).
fof(f288,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/tmp.3NKE5STe2A/Vampire---4.8_11111',mIntOne) ).
fof(f424,plain,
( ~ spl28_9
| spl28_10 ),
inference(avatar_split_clause,[],[f347,f422,f418]) ).
fof(f347,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10)
| ~ aInteger0(sz10) ),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X2,X0] :
( sz10 != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f416,plain,
( spl28_7
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f408,f413,f410]) ).
fof(f408,plain,
! [X2] :
( ~ aInteger0(sF27)
| ~ aDivisorOf0(X2,sF27)
| ~ isPrime0(X2) ),
inference(forward_demodulation,[],[f407,f362]) ).
fof(f407,plain,
! [X2] :
( ~ aDivisorOf0(X2,sF27)
| ~ isPrime0(X2)
| ~ aInteger0(smndt0(sz10)) ),
inference(forward_demodulation,[],[f346,f362]) ).
fof(f346,plain,
! [X2] :
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X2,X0] :
( smndt0(sz10) != X0
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f403,plain,
( spl28_4
| spl28_6
| spl28_5 ),
inference(avatar_split_clause,[],[f365,f394,f399,f390]) ).
fof(f365,plain,
( sK10 = sF27
| sz10 = sK10
| aElementOf0(sK10,sF26) ),
inference(definition_folding,[],[f326,f360,f359,f362]) ).
fof(f326,plain,
( smndt0(sz10) = sK10
| sz10 = sK10
| aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f229,f205]) ).
fof(f229,plain,
( smndt0(sz10) = sK10
| sz10 = sK10
| aElementOf0(sK10,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f402,plain,
( ~ spl28_4
| ~ spl28_6 ),
inference(avatar_split_clause,[],[f364,f399,f390]) ).
fof(f364,plain,
( sz10 != sK10
| ~ aElementOf0(sK10,sF26) ),
inference(definition_folding,[],[f325,f360,f359]) ).
fof(f325,plain,
( sz10 != sK10
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f230,f205]) ).
fof(f230,plain,
( sz10 != sK10
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f397,plain,
( ~ spl28_4
| ~ spl28_5 ),
inference(avatar_split_clause,[],[f363,f394,f390]) ).
fof(f363,plain,
( sK10 != sF27
| ~ aElementOf0(sK10,sF26) ),
inference(definition_folding,[],[f324,f360,f359,f362]) ).
fof(f324,plain,
( smndt0(sz10) != sK10
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f231,f205]) ).
fof(f231,plain,
( smndt0(sz10) != sK10
| ~ aElementOf0(sK10,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n008.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 : Fri May 3 14:17:37 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.3NKE5STe2A/Vampire---4.8_11111
% 0.59/0.79 % (11221)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79 % (11223)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.79 % (11220)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.59/0.79 % (11219)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.79 % (11222)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79 % (11224)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79 % (11225)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.59/0.79 % (11226)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.81 % (11222)Instruction limit reached!
% 0.59/0.81 % (11222)------------------------------
% 0.59/0.81 % (11222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (11222)Termination reason: Unknown
% 0.59/0.81 % (11222)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (11222)Memory used [KB]: 1723
% 0.59/0.81 % (11222)Time elapsed: 0.019 s
% 0.59/0.81 % (11222)Instructions burned: 33 (million)
% 0.59/0.81 % (11222)------------------------------
% 0.59/0.81 % (11222)------------------------------
% 0.59/0.81 % (11219)Instruction limit reached!
% 0.59/0.81 % (11219)------------------------------
% 0.59/0.81 % (11219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (11219)Termination reason: Unknown
% 0.59/0.81 % (11219)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (11219)Memory used [KB]: 1502
% 0.59/0.81 % (11219)Time elapsed: 0.020 s
% 0.59/0.81 % (11219)Instructions burned: 34 (million)
% 0.59/0.81 % (11219)------------------------------
% 0.59/0.81 % (11219)------------------------------
% 0.59/0.81 % (11223)Instruction limit reached!
% 0.59/0.81 % (11223)------------------------------
% 0.59/0.81 % (11223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (11223)Termination reason: Unknown
% 0.59/0.81 % (11223)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (11223)Memory used [KB]: 1616
% 0.59/0.81 % (11223)Time elapsed: 0.019 s
% 0.59/0.81 % (11223)Instructions burned: 35 (million)
% 0.59/0.81 % (11223)------------------------------
% 0.59/0.81 % (11223)------------------------------
% 0.59/0.82 % (11227)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.82 % (11228)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.82 % (11229)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.82 % (11224)Instruction limit reached!
% 0.59/0.82 % (11224)------------------------------
% 0.59/0.82 % (11224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (11224)Termination reason: Unknown
% 0.59/0.82 % (11224)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (11224)Memory used [KB]: 1823
% 0.59/0.82 % (11224)Time elapsed: 0.026 s
% 0.59/0.82 % (11224)Instructions burned: 45 (million)
% 0.59/0.82 % (11224)------------------------------
% 0.59/0.82 % (11224)------------------------------
% 0.59/0.82 % (11226)Instruction limit reached!
% 0.59/0.82 % (11226)------------------------------
% 0.59/0.82 % (11226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (11226)Termination reason: Unknown
% 0.59/0.82 % (11226)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (11226)Memory used [KB]: 1722
% 0.59/0.82 % (11226)Time elapsed: 0.029 s
% 0.59/0.82 % (11226)Instructions burned: 56 (million)
% 0.59/0.82 % (11226)------------------------------
% 0.59/0.82 % (11226)------------------------------
% 0.59/0.82 % (11220)Instruction limit reached!
% 0.59/0.82 % (11220)------------------------------
% 0.59/0.82 % (11220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (11220)Termination reason: Unknown
% 0.59/0.82 % (11220)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (11220)Memory used [KB]: 2140
% 0.59/0.82 % (11220)Time elapsed: 0.030 s
% 0.59/0.82 % (11220)Instructions burned: 52 (million)
% 0.59/0.82 % (11220)------------------------------
% 0.59/0.82 % (11220)------------------------------
% 0.59/0.82 % (11230)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.83 % (11231)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.83 % (11232)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.83 % (11225)Instruction limit reached!
% 0.59/0.83 % (11225)------------------------------
% 0.59/0.83 % (11225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (11225)Termination reason: Unknown
% 0.59/0.83 % (11225)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (11225)Memory used [KB]: 2323
% 0.59/0.83 % (11225)Time elapsed: 0.039 s
% 0.59/0.83 % (11225)Instructions burned: 84 (million)
% 0.59/0.83 % (11225)------------------------------
% 0.59/0.83 % (11225)------------------------------
% 0.59/0.84 % (11233)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.84 % (11221)Instruction limit reached!
% 0.59/0.84 % (11221)------------------------------
% 0.59/0.84 % (11221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84 % (11221)Termination reason: Unknown
% 0.59/0.84 % (11221)Termination phase: Saturation
% 0.59/0.84
% 0.59/0.84 % (11221)Memory used [KB]: 2022
% 0.59/0.84 % (11221)Time elapsed: 0.046 s
% 0.59/0.84 % (11221)Instructions burned: 79 (million)
% 0.59/0.84 % (11221)------------------------------
% 0.59/0.84 % (11221)------------------------------
% 0.59/0.84 % (11228)Instruction limit reached!
% 0.59/0.84 % (11228)------------------------------
% 0.59/0.84 % (11228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84 % (11228)Termination reason: Unknown
% 0.59/0.84 % (11228)Termination phase: Saturation
% 0.59/0.84
% 0.59/0.84 % (11228)Memory used [KB]: 1683
% 0.59/0.84 % (11228)Time elapsed: 0.026 s
% 0.59/0.84 % (11228)Instructions burned: 52 (million)
% 0.59/0.84 % (11228)------------------------------
% 0.59/0.84 % (11228)------------------------------
% 0.59/0.84 % (11234)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.84 % (11227)Instruction limit reached!
% 0.59/0.84 % (11227)------------------------------
% 0.59/0.84 % (11227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84 % (11227)Termination reason: Unknown
% 0.59/0.84 % (11227)Termination phase: Saturation
% 0.59/0.84
% 0.59/0.84 % (11227)Memory used [KB]: 2141
% 0.59/0.84 % (11227)Time elapsed: 0.029 s
% 0.59/0.84 % (11227)Instructions burned: 56 (million)
% 0.59/0.84 % (11227)------------------------------
% 0.59/0.84 % (11227)------------------------------
% 0.59/0.84 % (11235)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.59/0.85 % (11236)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.92/0.85 % (11232)Instruction limit reached!
% 0.92/0.85 % (11232)------------------------------
% 0.92/0.85 % (11232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.85 % (11232)Termination reason: Unknown
% 0.92/0.85 % (11232)Termination phase: Saturation
% 0.92/0.85
% 0.92/0.85 % (11232)Memory used [KB]: 1834
% 0.92/0.85 % (11232)Time elapsed: 0.024 s
% 0.92/0.85 % (11232)Instructions burned: 42 (million)
% 0.92/0.85 % (11232)------------------------------
% 0.92/0.85 % (11232)------------------------------
% 0.92/0.85 % (11230)Instruction limit reached!
% 0.92/0.85 % (11230)------------------------------
% 0.92/0.85 % (11230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.85 % (11230)Termination reason: Unknown
% 0.92/0.85 % (11230)Termination phase: Saturation
% 0.92/0.85
% 0.92/0.85 % (11230)Memory used [KB]: 1830
% 0.92/0.85 % (11230)Time elapsed: 0.030 s
% 0.92/0.85 % (11230)Instructions burned: 52 (million)
% 0.92/0.85 % (11230)------------------------------
% 0.92/0.85 % (11230)------------------------------
% 0.92/0.85 % (11237)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.92/0.85 % (11238)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.92/0.87 % (11238)Instruction limit reached!
% 0.92/0.87 % (11238)------------------------------
% 0.92/0.87 % (11238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.87 % (11238)Termination reason: Unknown
% 0.92/0.87 % (11238)Termination phase: Saturation
% 0.92/0.87
% 0.92/0.87 % (11238)Memory used [KB]: 1381
% 0.92/0.87 % (11238)Time elapsed: 0.018 s
% 0.92/0.87 % (11238)Instructions burned: 33 (million)
% 0.92/0.87 % (11238)------------------------------
% 0.92/0.87 % (11238)------------------------------
% 0.92/0.87 % (11239)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.99/0.88 % (11237)Instruction limit reached!
% 0.99/0.88 % (11237)------------------------------
% 0.99/0.88 % (11237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.88 % (11237)Termination reason: Unknown
% 0.99/0.88 % (11237)Termination phase: Saturation
% 0.99/0.88
% 0.99/0.88 % (11237)Memory used [KB]: 1919
% 0.99/0.88 % (11237)Time elapsed: 0.034 s
% 0.99/0.88 % (11237)Instructions burned: 63 (million)
% 0.99/0.88 % (11237)------------------------------
% 0.99/0.88 % (11237)------------------------------
% 0.99/0.89 % (11236)Instruction limit reached!
% 0.99/0.89 % (11236)------------------------------
% 0.99/0.89 % (11236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.89 % (11236)Termination reason: Unknown
% 0.99/0.89 % (11236)Termination phase: Saturation
% 0.99/0.89
% 0.99/0.89 % (11236)Memory used [KB]: 1812
% 0.99/0.89 % (11236)Time elapsed: 0.043 s
% 0.99/0.89 % (11236)Instructions burned: 95 (million)
% 0.99/0.89 % (11236)------------------------------
% 0.99/0.89 % (11236)------------------------------
% 0.99/0.89 % (11240)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.99/0.89 % (11234)Instruction limit reached!
% 0.99/0.89 % (11234)------------------------------
% 0.99/0.89 % (11234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.89 % (11234)Termination reason: Unknown
% 0.99/0.89 % (11234)Termination phase: Saturation
% 0.99/0.89
% 0.99/0.89 % (11234)Memory used [KB]: 1700
% 0.99/0.89 % (11234)Time elapsed: 0.050 s
% 0.99/0.89 % (11234)Instructions burned: 118 (million)
% 0.99/0.89 % (11234)------------------------------
% 0.99/0.89 % (11234)------------------------------
% 0.99/0.89 % (11241)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.99/0.89 % (11242)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.99/0.91 % (11229)First to succeed.
% 0.99/0.91 % (11235)Instruction limit reached!
% 0.99/0.91 % (11235)------------------------------
% 0.99/0.91 % (11235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.91 % (11235)Termination reason: Unknown
% 0.99/0.91 % (11235)Termination phase: Saturation
% 0.99/0.91
% 0.99/0.91 % (11235)Memory used [KB]: 2227
% 0.99/0.91 % (11235)Time elapsed: 0.067 s
% 0.99/0.91 % (11235)Instructions burned: 143 (million)
% 0.99/0.91 % (11235)------------------------------
% 0.99/0.91 % (11235)------------------------------
% 0.99/0.91 % (11229)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11218"
% 0.99/0.91 % (11229)Refutation found. Thanks to Tanya!
% 0.99/0.91 % SZS status Theorem for Vampire---4
% 0.99/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 0.99/0.91 % (11229)------------------------------
% 0.99/0.91 % (11229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.91 % (11229)Termination reason: Refutation
% 0.99/0.91
% 0.99/0.91 % (11229)Memory used [KB]: 2328
% 0.99/0.91 % (11229)Time elapsed: 0.095 s
% 0.99/0.91 % (11229)Instructions burned: 187 (million)
% 0.99/0.91 % (11218)Success in time 0.561 s
% 0.99/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------