TSTP Solution File: NUM456+6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM456+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 : n004.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 17:59:43 EDT 2022
% Result : Unknown 1.77s 0.63s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 688 ( 139 equ)
% Maximal formula atoms : 38 ( 14 avg)
% Number of connectives : 858 ( 219 ~; 174 |; 424 &)
% ( 15 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 162 ( 105 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f788,plain,
$false,
inference(subsumption_resolution,[],[f787,f642]) ).
fof(f642,plain,
~ sQ39_eqProxy(sz10,sK36),
inference(equality_proxy_replacement,[],[f476,f576]) ).
fof(f576,plain,
! [X0,X1] :
( sQ39_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ39_eqProxy])]) ).
fof(f476,plain,
sz10 != sK36,
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( smndt0(sz10) != sK36
& aInteger0(sK36)
& sdteqdtlpzmzozddtrp0(sK36,sz10,xp)
& ~ aElementOf0(sK36,cS2200)
& aDivisorOf0(xp,sdtpldt0(sK36,smndt0(sz10)))
& sz10 != sK36
& aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(sK37)
& sdtasdt0(xp,sK37) = sdtpldt0(sK36,smndt0(sz10)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f87,f260,f259]) ).
fof(f259,plain,
( ? [X0] :
( smndt0(sz10) != X0
& aInteger0(X0)
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ~ aElementOf0(X0,cS2200)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) ) )
=> ( smndt0(sz10) != sK36
& aInteger0(sK36)
& sdteqdtlpzmzozddtrp0(sK36,sz10,xp)
& ~ aElementOf0(sK36,cS2200)
& aDivisorOf0(xp,sdtpldt0(sK36,smndt0(sz10)))
& sz10 != sK36
& aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sK36,smndt0(sz10)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sK36,smndt0(sz10)) )
=> ( aInteger0(sK37)
& sdtasdt0(xp,sK37) = sdtpldt0(sK36,smndt0(sz10)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0] :
( smndt0(sz10) != X0
& aInteger0(X0)
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& ~ aElementOf0(X0,cS2200)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& sz10 != X0
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) ) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0] :
( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(X0)
& smndt0(sz10) != X0
& sz10 != X0
& ~ aElementOf0(X0,cS2200)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
? [X0] :
( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aInteger0(X0)
& ~ ( smndt0(sz10) = X0
| sz10 = X0
| aElementOf0(X0,cS2200) )
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(f787,plain,
sQ39_eqProxy(sz10,sK36),
inference(subsumption_resolution,[],[f785,f747]) ).
fof(f747,plain,
aElementOf0(sK36,stldt0(sbsmnsldt0(cS2043))),
inference(resolution,[],[f542,f475]) ).
fof(f475,plain,
aElementOf0(sK36,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnf_transformation,[],[f261]) ).
fof(f542,plain,
! [X3] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X3,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f418,f460]) ).
fof(f460,plain,
xS = cS2043,
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| ( sP7(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0 ) ) )
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK34(X0)))
& sz00 != sK34(X0)
& szAzrzSzezqlpdtcmdtrp0(sz00,sK34(X0)) = X0
& aInteger0(sK34(X0))
& isPrime0(sK34(X0))
& sP6(sK34(X0)) )
| ~ aElementOf0(X0,xS) ) )
& xS = cS2043
& aSet0(xS) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f254,f255]) ).
fof(f255,plain,
! [X0] :
( ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& sz00 != X2
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& aInteger0(X2)
& isPrime0(X2)
& sP6(X2) )
=> ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sK34(X0)))
& sz00 != sK34(X0)
& szAzrzSzezqlpdtcmdtrp0(sz00,sK34(X0)) = X0
& aInteger0(sK34(X0))
& isPrime0(sK34(X0))
& sP6(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X1] :
( sz00 = X1
| ~ aInteger0(X1)
| ~ isPrime0(X1)
| ( sP7(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) != X0 ) ) )
& ( ? [X2] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& sz00 != X2
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X0
& aInteger0(X2)
& isPrime0(X2)
& sP6(X2) )
| ~ aElementOf0(X0,xS) ) )
& xS = cS2043
& aSet0(xS) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X5] :
( sz00 = X5
| ~ aInteger0(X5)
| ~ isPrime0(X5)
| ( sP7(X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 ) ) )
& ( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aInteger0(X1)
& isPrime0(X1)
& sP6(X1) )
| ~ aElementOf0(X0,xS) ) )
& xS = cS2043
& aSet0(xS) ),
inference(definition_folding,[],[f91,f147,f146]) ).
fof(f146,plain,
! [X1] :
( ! [X2] :
( ( ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) )
| ~ sP6(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f147,plain,
! [X5] :
( ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7) )
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) ) )
| ~ aInteger0(X6) ) )
| ~ sP7(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f91,plain,
( ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X5] :
( sz00 = X5
| ~ aInteger0(X5)
| ~ isPrime0(X5)
| ( ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7) )
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) ) )
| ~ aInteger0(X6) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0 ) ) )
& ( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& sz00 != X1
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aInteger0(X1)
& isPrime0(X1)
& ! [X2] :
( ( ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
| ~ aElementOf0(X0,xS) ) )
& xS = cS2043
& aSet0(xS) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
( aSet0(xS)
& xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
| ! [X5] :
( ( szAzrzSzezqlpdtcmdtrp0(sz00,X5) != X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7) )
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
| ~ aInteger0(X6)
| ( ~ aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X6,sz00,X5)
& ! [X8] :
( ~ aInteger0(X8)
| sdtpldt0(X6,smndt0(sz00)) != sdtasdt0(X5,X8) ) ) ) ) )
| sz00 = X5
| ~ aInteger0(X5)
| ~ isPrime0(X5) ) )
& ( ? [X1] :
( sz00 != X1
& isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aInteger0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
| ~ aInteger0(X2)
| ( ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(sz00)) )
& ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
& ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
| ~ aElementOf0(X0,xS) ) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
( aSet0(xS)
& xS = cS2043
& ! [X0] :
( ( ? [X5] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X5))
& ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5))
=> ( aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00)))
& aInteger0(X6)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X7) )
& sdteqdtlpzmzozddtrp0(X6,sz00,X5) ) )
& ( ( aInteger0(X6)
& ( ? [X8] :
( sdtpldt0(X6,smndt0(sz00)) = sdtasdt0(X5,X8)
& aInteger0(X8) )
| sdteqdtlpzmzozddtrp0(X6,sz00,X5)
| aDivisorOf0(X5,sdtpldt0(X6,smndt0(sz00))) ) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(sz00,X5)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X5) = X0 )
& sz00 != X5
& aInteger0(X5)
& isPrime0(X5) )
=> aElementOf0(X0,xS) )
& ( aElementOf0(X0,xS)
=> ? [X1] :
( sz00 != X1
& isPrime0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aInteger0(X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( ( aInteger0(X2)
& ( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2)
& ? [X4] :
( sdtpldt0(X2,smndt0(sz00)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) ) ) ) ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xS = cS2043
& ! [X0] :
( ( aElementOf0(X0,xS)
=> ? [X1] :
( aInteger0(X1)
& szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& sz00 != X1
& ! [X2] :
( ( ( aInteger0(X2)
& ( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00))
& aInteger0(X3) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X2,sz00,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) ) ) )
& isPrime0(X1) ) )
& ( ? [X1] :
( aInteger0(X1)
& isPrime0(X1)
& sz00 != X1
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))
=> ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
& sdteqdtlpzmzozddtrp0(X2,sz00,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00)))
& aInteger0(X2) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X2,sz00,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz00)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz00))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X1) = X0 ) )
=> aElementOf0(X0,xS) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(f418,plain,
! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& aElementOf0(sK25(X0),xS)
& aElementOf0(X0,sK25(X0)) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& sz00 != xp
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| aElementOf0(X4,sbsmnsldt0(xS)) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) )
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) )
& ! [X5] :
( ( ( aInteger0(X5)
& aInteger0(sK26(X5))
& sdtasdt0(xp,sK26(X5)) = sdtpldt0(X5,smndt0(sz10))
& sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10))) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ! [X7] :
( ~ aInteger0(X7)
| sdtpldt0(X5,smndt0(sz10)) != sdtasdt0(xp,X7) ) )
| ~ aInteger0(X5)
| aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aInteger0(xp)
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f228,f230,f229]) ).
fof(f229,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X0,X2) )
=> ( aElementOf0(sK25(X0),xS)
& aElementOf0(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X5] :
( ? [X6] :
( aInteger0(X6)
& sdtpldt0(X5,smndt0(sz10)) = sdtasdt0(xp,X6) )
=> ( aInteger0(sK26(X5))
& sdtasdt0(xp,sK26(X5)) = sdtpldt0(X5,smndt0(sz10)) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0)
| ! [X1] :
( ~ aElementOf0(X1,xS)
| ~ aElementOf0(X0,X1) ) )
& ( ( aInteger0(X0)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X0,X2) ) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& sz00 != xp
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| aElementOf0(X4,sbsmnsldt0(xS)) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) )
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) )
& ! [X5] :
( ( ( aInteger0(X5)
& ? [X6] :
( aInteger0(X6)
& sdtpldt0(X5,smndt0(sz10)) = sdtasdt0(xp,X6) )
& sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10))) )
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X5,smndt0(sz10)))
& ! [X7] :
( ~ aInteger0(X7)
| sdtpldt0(X5,smndt0(sz10)) != sdtasdt0(xp,X7) ) )
| ~ aInteger0(X5)
| aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aInteger0(xp)
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X5] :
( ( aElementOf0(X5,sbsmnsldt0(xS))
| ~ aInteger0(X5)
| ! [X6] :
( ~ aElementOf0(X6,xS)
| ~ aElementOf0(X5,X6) ) )
& ( ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) )
| ~ aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& sz00 != xp
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| aElementOf0(X4,sbsmnsldt0(xS)) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) )
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(X1,smndt0(sz10)) ) )
| ~ aInteger0(X1)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aInteger0(xp)
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X5] :
( ( aElementOf0(X5,sbsmnsldt0(xS))
| ~ aInteger0(X5)
| ! [X6] :
( ~ aElementOf0(X6,xS)
| ~ aElementOf0(X5,X6) ) )
& ( ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) )
| ~ aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& sz00 != xp
& ! [X4] :
( ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| aElementOf0(X4,sbsmnsldt0(xS)) )
& ( ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) )
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ) )
& ! [X1] :
( ( ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(X1,smndt0(sz10)) ) )
| ~ aInteger0(X1)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aInteger0(xp)
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X5] :
( aElementOf0(X5,sbsmnsldt0(xS))
<=> ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& sz00 != xp
& ! [X4] :
( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& ! [X1] :
( ( ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(X1,smndt0(sz10)) ) )
| ~ aInteger0(X1)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aInteger0(xp)
& aSet0(sbsmnsldt0(xS))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ! [X5] :
( aElementOf0(X5,sbsmnsldt0(xS))
<=> ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) ) )
& ! [X4] :
( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aSet0(sbsmnsldt0(xS))
& aInteger0(xp)
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(X1,smndt0(sz10)) ) )
| ~ aInteger0(X1) )
& ( ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& sz00 != xp ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X5] :
( aElementOf0(X5,sbsmnsldt0(xS))
<=> ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) ) )
& ! [X4] :
( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X4)
& ~ aElementOf0(X4,sbsmnsldt0(xS)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aSet0(sbsmnsldt0(xS))
& aInteger0(xp)
& ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ? [X3] :
( sdtasdt0(xp,X3) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X3) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ) ) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& sz00 != xp ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10)) )
& aInteger0(X0) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
| aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10))) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sz00 != xp
& aSet0(sbsmnsldt0(xS))
& aInteger0(xp)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
fof(f785,plain,
( ~ aElementOf0(sK36,stldt0(sbsmnsldt0(cS2043)))
| sQ39_eqProxy(sz10,sK36) ),
inference(resolution,[],[f594,f641]) ).
fof(f641,plain,
~ sQ39_eqProxy(smndt0(sz10),sK36),
inference(equality_proxy_replacement,[],[f481,f576]) ).
fof(f481,plain,
smndt0(sz10) != sK36,
inference(cnf_transformation,[],[f261]) ).
fof(f594,plain,
! [X4] :
( sQ39_eqProxy(smndt0(sz10),X4)
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(cS2043)))
| sQ39_eqProxy(sz10,X4) ),
inference(equality_proxy_replacement,[],[f533,f576,f576]) ).
fof(f533,plain,
! [X4] :
( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(cS2043))) ),
inference(definition_unfolding,[],[f332,f460]) ).
fof(f332,plain,
! [X4] :
( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ! [X0] :
( ( ( aElementOf0(X0,sK17(X0))
& aElementOf0(sK17(X0),xS)
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
& ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X2] :
( ~ aElementOf0(X0,X2)
| ~ aElementOf0(X2,xS) )
| ~ aInteger0(X0) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) ) )
& ! [X4] :
( ( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X4
& smndt0(sz10) != X4 ) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f179,f180]) ).
fof(f180,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
=> ( aElementOf0(X0,sK17(X0))
& aElementOf0(sK17(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
( ! [X0] :
( ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
& ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X2] :
( ~ aElementOf0(X0,X2)
| ~ aElementOf0(X2,xS) )
| ~ aInteger0(X0) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X3] :
( ( ( ~ aElementOf0(X3,sbsmnsldt0(xS))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X3,sbsmnsldt0(xS))
| ~ aInteger0(X3) ) )
& ! [X4] :
( ( sz10 = X4
| smndt0(sz10) = X4
| ~ aElementOf0(X4,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X4,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X4
& smndt0(sz10) != X4 ) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f178]) ).
fof(f178,plain,
( ! [X1] :
( ( ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) )
| ~ aElementOf0(X1,sbsmnsldt0(xS)) )
& ( aElementOf0(X1,sbsmnsldt0(xS))
| ! [X2] :
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS) )
| ~ aInteger0(X1) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ) )
& ! [X3] :
( ( sz10 = X3
| smndt0(sz10) = X3
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X3
& smndt0(sz10) != X3 ) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
( ! [X1] :
( ( ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) )
| ~ aElementOf0(X1,sbsmnsldt0(xS)) )
& ( aElementOf0(X1,sbsmnsldt0(xS))
| ! [X2] :
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS) )
| ~ aInteger0(X1) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ) )
& ! [X3] :
( ( sz10 = X3
| smndt0(sz10) = X3
| ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X3,stldt0(sbsmnsldt0(xS)))
| ( sz10 != X3
& smndt0(sz10) != X3 ) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X1] :
( ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) )
<=> aElementOf0(X1,sbsmnsldt0(xS)) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X3] :
( ( sz10 = X3
| smndt0(sz10) = X3 )
<=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( ! [X0] :
( ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( ( aInteger0(X0)
& ? [X1] :
( aElementOf0(X1,xS)
& aElementOf0(X0,X1) ) )
<=> aElementOf0(X0,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( sz10 = X0
| smndt0(sz10) = X0 ) )
& stldt0(sbsmnsldt0(xS)) = cS2076
& aSet0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM456+6 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % 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 : n004.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 06:32:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (2220)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)
% 0.20/0.57 % (2228)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)
% 0.20/0.57 % (2223)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)
% 0.20/0.57 % (2229)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)
% 0.20/0.58 % (2231)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)
% 0.20/0.58 % (2229)Instruction limit reached!
% 0.20/0.58 % (2229)------------------------------
% 0.20/0.58 % (2229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (2229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (2229)Termination reason: Unknown
% 0.20/0.58 % (2229)Termination phase: Preprocessing 3
% 0.20/0.58
% 0.20/0.58 % (2229)Memory used [KB]: 1535
% 0.20/0.58 % (2229)Time elapsed: 0.003 s
% 0.20/0.58 % (2229)Instructions burned: 3 (million)
% 0.20/0.58 % (2229)------------------------------
% 0.20/0.58 % (2229)------------------------------
% 0.20/0.58 % (2239)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)
% 0.20/0.59 % (2219)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)
% 0.20/0.60 % (2236)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)
% 0.20/0.60 % (2221)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.61 % (2230)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)
% 1.77/0.61 % (2230)Instruction limit reached!
% 1.77/0.61 % (2230)------------------------------
% 1.77/0.61 % (2230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (2230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (2230)Termination reason: Unknown
% 1.77/0.61 % (2230)Termination phase: Property scanning
% 1.77/0.61
% 1.77/0.61 % (2230)Memory used [KB]: 1791
% 1.77/0.61 % (2230)Time elapsed: 0.006 s
% 1.77/0.61 % (2230)Instructions burned: 7 (million)
% 1.77/0.61 % (2230)------------------------------
% 1.77/0.61 % (2230)------------------------------
% 1.77/0.61 % (2217)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)
% 1.77/0.61 % (2220)Instruction limit reached!
% 1.77/0.61 % (2220)------------------------------
% 1.77/0.61 % (2220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (2220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (2220)Termination reason: Unknown
% 1.77/0.61 % (2220)Termination phase: Saturation
% 1.77/0.61
% 1.77/0.61 % (2220)Memory used [KB]: 1918
% 1.77/0.61 % (2220)Time elapsed: 0.162 s
% 1.77/0.61 % (2220)Instructions burned: 15 (million)
% 1.77/0.61 % (2220)------------------------------
% 1.77/0.61 % (2220)------------------------------
% 1.77/0.61 % (2216)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)
% 1.77/0.62 % (2217)Instruction limit reached!
% 1.77/0.62 % (2217)------------------------------
% 1.77/0.62 % (2217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (2217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (2217)Termination reason: Unknown
% 1.77/0.62 % (2217)Termination phase: Preprocessing 3
% 1.77/0.62
% 1.77/0.62 % (2217)Memory used [KB]: 1535
% 1.77/0.62 % (2217)Time elapsed: 0.005 s
% 1.77/0.62 % (2217)Instructions burned: 4 (million)
% 1.77/0.62 % (2217)------------------------------
% 1.77/0.62 % (2217)------------------------------
% 1.77/0.62 % (2222)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.77/0.62 % (2239)First to succeed.
% 1.77/0.62 % (2238)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)
% 1.77/0.62 % (2244)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)
% 1.77/0.62 % (2218)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)
% 1.77/0.62 % (2233)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)
% 1.77/0.62 % (2219)Instruction limit reached!
% 1.77/0.62 % (2219)------------------------------
% 1.77/0.62 % (2219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (2219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (2219)Termination reason: Unknown
% 1.77/0.62 % (2219)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (2219)Memory used [KB]: 6268
% 1.77/0.62 % (2219)Time elapsed: 0.011 s
% 1.77/0.62 % (2219)Instructions burned: 13 (million)
% 1.77/0.62 % (2219)------------------------------
% 1.77/0.62 % (2219)------------------------------
% 1.77/0.62 % (2237)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)
% 1.77/0.63 % (2239)Refutation found. Thanks to Tanya!
% 1.77/0.63 % SZS status ContradictoryAxioms for theBenchmark
% 1.77/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.63 % (2239)------------------------------
% 1.77/0.63 % (2239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.63 % (2239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.63 % (2239)Termination reason: Refutation
% 1.77/0.63
% 1.77/0.63 % (2239)Memory used [KB]: 6396
% 1.77/0.63 % (2239)Time elapsed: 0.188 s
% 1.77/0.63 % (2239)Instructions burned: 19 (million)
% 1.77/0.63 % (2239)------------------------------
% 1.77/0.63 % (2239)------------------------------
% 1.77/0.63 % (2214)Success in time 0.265 s
%------------------------------------------------------------------------------